id	sid	tid	token	lemma	pos
cord-328957-mzi8504f	1	1	key	key	JJ
cord-328957-mzi8504f	1	2	:	:	:
cord-328957-mzi8504f	1	3	cord-328957-mzi8504f	cord-328957-mzi8504f	NN
cord-328957-mzi8504f	2	1	authors	author	NNS
cord-328957-mzi8504f	2	2	:	:	:
cord-328957-mzi8504f	2	3	Lazebnik	Lazebnik	NNP
cord-328957-mzi8504f	2	4	,	,	,
cord-328957-mzi8504f	2	5	T.	T.	NNP
cord-328957-mzi8504f	2	6	;	;	:
cord-328957-mzi8504f	2	7	Bunimovich	Bunimovich	NNP
cord-328957-mzi8504f	2	8	-	-	HYPH
cord-328957-mzi8504f	2	9	Mendrazitsky	Mendrazitsky	NNP
cord-328957-mzi8504f	2	10	,	,	,
cord-328957-mzi8504f	2	11	S.	S.	NNP
cord-328957-mzi8504f	2	12	title	title	NN
cord-328957-mzi8504f	2	13	:	:	:
cord-328957-mzi8504f	3	1	The	the	DT
cord-328957-mzi8504f	3	2	signature	signature	NN
cord-328957-mzi8504f	3	3	features	feature	NNS
cord-328957-mzi8504f	3	4	of	of	IN
cord-328957-mzi8504f	3	5	COVID-19	covid-19	JJ
cord-328957-mzi8504f	3	6	pandemic	pandemic	NN
cord-328957-mzi8504f	3	7	in	in	IN
cord-328957-mzi8504f	3	8	a	a	DT
cord-328957-mzi8504f	3	9	hybrid	hybrid	JJ
cord-328957-mzi8504f	3	10	mathematical	mathematical	JJ
cord-328957-mzi8504f	3	11	model	model	NN
cord-328957-mzi8504f	3	12	-	-	HYPH
cord-328957-mzi8504f	3	13	implications	implication	NNS
cord-328957-mzi8504f	3	14	for	for	IN
cord-328957-mzi8504f	3	15	optimal	optimal	JJ
cord-328957-mzi8504f	3	16	work	work	NN
cord-328957-mzi8504f	3	17	-	-	HYPH
cord-328957-mzi8504f	3	18	school	school	NN
cord-328957-mzi8504f	3	19	lockdown	lockdown	NN
cord-328957-mzi8504f	3	20	policy	policy	NN
cord-328957-mzi8504f	3	21	date	date	NN
cord-328957-mzi8504f	3	22	:	:	:
cord-328957-mzi8504f	3	23	2020	2020	CD
cord-328957-mzi8504f	3	24	-	-	HYPH
cord-328957-mzi8504f	3	25	11	11	CD
cord-328957-mzi8504f	3	26	-	-	HYPH
cord-328957-mzi8504f	3	27	04	04	CD
cord-328957-mzi8504f	3	28	journal	journal	NN
cord-328957-mzi8504f	3	29	:	:	:
cord-328957-mzi8504f	4	1	nan	nan	NNP
cord-328957-mzi8504f	4	2	DOI	DOI	NNP
cord-328957-mzi8504f	4	3	:	:	:
cord-328957-mzi8504f	5	1	10.1101/2020.11.02.20224584	10.1101/2020.11.02.20224584	CD
cord-328957-mzi8504f	5	2	sha	sha	NN
cord-328957-mzi8504f	5	3	:	:	:
cord-328957-mzi8504f	5	4	be708619c5f6de75c0f6ade949462522ce904de3	be708619c5f6de75c0f6ade949462522ce904de3	NNP
cord-328957-mzi8504f	5	5	doc_id	doc_id	CD
cord-328957-mzi8504f	5	6	:	:	:
cord-328957-mzi8504f	5	7	328957	328957	CD
cord-328957-mzi8504f	5	8	cord_uid	cord_uid	NNS
cord-328957-mzi8504f	5	9	:	:	:
cord-328957-mzi8504f	5	10	mzi8504f	mzi8504f	.
cord-328957-mzi8504f	6	1	Background	background	NN
cord-328957-mzi8504f	6	2	:	:	:
cord-328957-mzi8504f	7	1	The	the	DT
cord-328957-mzi8504f	7	2	coronavirus	coronavirus	NN
cord-328957-mzi8504f	7	3	disease	disease	NN
cord-328957-mzi8504f	7	4	2019	2019	CD
cord-328957-mzi8504f	7	5	(	(	-LRB-
cord-328957-mzi8504f	7	6	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	7	7	)	)	-RRB-
cord-328957-mzi8504f	7	8	first	first	RB
cord-328957-mzi8504f	7	9	identified	identify	VBN
cord-328957-mzi8504f	7	10	in	in	IN
cord-328957-mzi8504f	7	11	China	China	NNP
cord-328957-mzi8504f	7	12	,	,	,
cord-328957-mzi8504f	7	13	spreads	spread	VBZ
cord-328957-mzi8504f	7	14	rapidly	rapidly	RB
cord-328957-mzi8504f	7	15	across	across	IN
cord-328957-mzi8504f	7	16	the	the	DT
cord-328957-mzi8504f	7	17	globe	globe	NN
cord-328957-mzi8504f	7	18	and	and	CC
cord-328957-mzi8504f	7	19	is	be	VBZ
cord-328957-mzi8504f	7	20	considered	consider	VBN
cord-328957-mzi8504f	7	21	the	the	DT
cord-328957-mzi8504f	7	22	fastest	fast	JJS
cord-328957-mzi8504f	7	23	moving	move	VBG
cord-328957-mzi8504f	7	24	pandemic	pandemic	NN
cord-328957-mzi8504f	7	25	in	in	IN
cord-328957-mzi8504f	7	26	history	history	NN
cord-328957-mzi8504f	7	27	.	.	.
cord-328957-mzi8504f	8	1	The	the	DT
cord-328957-mzi8504f	8	2	new	new	JJ
cord-328957-mzi8504f	8	3	disease	disease	NN
cord-328957-mzi8504f	8	4	has	have	VBZ
cord-328957-mzi8504f	8	5	challenged	challenge	VBN
cord-328957-mzi8504f	8	6	policymakers	policymaker	NNS
cord-328957-mzi8504f	8	7	and	and	CC
cord-328957-mzi8504f	8	8	scientists	scientist	NNS
cord-328957-mzi8504f	8	9	on	on	IN
cord-328957-mzi8504f	8	10	key	key	JJ
cord-328957-mzi8504f	8	11	issues	issue	NNS
cord-328957-mzi8504f	8	12	such	such	JJ
cord-328957-mzi8504f	8	13	as	as	IN
cord-328957-mzi8504f	8	14	the	the	DT
cord-328957-mzi8504f	8	15	magnitude	magnitude	NN
cord-328957-mzi8504f	8	16	of	of	IN
cord-328957-mzi8504f	8	17	the	the	DT
cord-328957-mzi8504f	8	18	first	first	JJ
cord-328957-mzi8504f	8	19	-	-	HYPH
cord-328957-mzi8504f	8	20	time	time	NN
cord-328957-mzi8504f	8	21	problem	problem	NN
cord-328957-mzi8504f	8	22	,	,	,
cord-328957-mzi8504f	8	23	the	the	DT
cord-328957-mzi8504f	8	24	susceptibility	susceptibility	NN
cord-328957-mzi8504f	8	25	of	of	IN
cord-328957-mzi8504f	8	26	the	the	DT
cord-328957-mzi8504f	8	27	population	population	NN
cord-328957-mzi8504f	8	28	,	,	,
cord-328957-mzi8504f	8	29	the	the	DT
cord-328957-mzi8504f	8	30	severity	severity	NN
cord-328957-mzi8504f	8	31	of	of	IN
cord-328957-mzi8504f	8	32	the	the	DT
cord-328957-mzi8504f	8	33	disease	disease	NN
cord-328957-mzi8504f	8	34	,	,	,
cord-328957-mzi8504f	8	35	and	and	CC
cord-328957-mzi8504f	8	36	its	-PRON-	PRP$
cord-328957-mzi8504f	8	37	symptoms	symptom	NNS
cord-328957-mzi8504f	8	38	.	.	.
cord-328957-mzi8504f	9	1	Most	Most	JJS
cord-328957-mzi8504f	9	2	countries	country	NNS
cord-328957-mzi8504f	9	3	have	have	VBP
cord-328957-mzi8504f	9	4	adopted	adopt	VBN
cord-328957-mzi8504f	9	5	lockdown	lockdown	NN
cord-328957-mzi8504f	9	6	policies	policy	NNS
cord-328957-mzi8504f	9	7	to	to	TO
cord-328957-mzi8504f	9	8	reduce	reduce	VB
cord-328957-mzi8504f	9	9	the	the	DT
cord-328957-mzi8504f	9	10	spatial	spatial	JJ
cord-328957-mzi8504f	9	11	spread	spread	NN
cord-328957-mzi8504f	9	12	of	of	IN
cord-328957-mzi8504f	9	13	COVID-19	covid-19	NN
cord-328957-mzi8504f	9	14	,	,	,
cord-328957-mzi8504f	9	15	but	but	CC
cord-328957-mzi8504f	9	16	they	-PRON-	PRP
cord-328957-mzi8504f	9	17	have	have	VBP
cord-328957-mzi8504f	9	18	damaged	damage	VBN
cord-328957-mzi8504f	9	19	the	the	DT
cord-328957-mzi8504f	9	20	economic	economic	JJ
cord-328957-mzi8504f	9	21	and	and	CC
cord-328957-mzi8504f	9	22	moral	moral	JJ
cord-328957-mzi8504f	9	23	fabric	fabric	NN
cord-328957-mzi8504f	9	24	of	of	IN
cord-328957-mzi8504f	9	25	society	society	NN
cord-328957-mzi8504f	9	26	.	.	.
cord-328957-mzi8504f	10	1	Timely	timely	JJ
cord-328957-mzi8504f	10	2	action	action	NN
cord-328957-mzi8504f	10	3	to	to	TO
cord-328957-mzi8504f	10	4	prevent	prevent	VB
cord-328957-mzi8504f	10	5	the	the	DT
cord-328957-mzi8504f	10	6	spread	spread	NN
cord-328957-mzi8504f	10	7	of	of	IN
cord-328957-mzi8504f	10	8	the	the	DT
cord-328957-mzi8504f	10	9	virus	virus	NN
cord-328957-mzi8504f	10	10	is	be	VBZ
cord-328957-mzi8504f	10	11	critical	critical	JJ
cord-328957-mzi8504f	10	12	,	,	,
cord-328957-mzi8504f	10	13	and	and	CC
cord-328957-mzi8504f	10	14	mathematical	mathematical	JJ
cord-328957-mzi8504f	10	15	modeling	modeling	NN
cord-328957-mzi8504f	10	16	in	in	IN
cord-328957-mzi8504f	10	17	non	non	JJ
cord-328957-mzi8504f	10	18	-	-	JJ
cord-328957-mzi8504f	10	19	pharmaceutical	pharmaceutical	JJ
cord-328957-mzi8504f	10	20	intervention	intervention	NN
cord-328957-mzi8504f	10	21	(	(	-LRB-
cord-328957-mzi8504f	10	22	NPI	NPI	NNP
cord-328957-mzi8504f	10	23	)	)	-RRB-
cord-328957-mzi8504f	10	24	policy	policy	NN
cord-328957-mzi8504f	10	25	management	management	NN
cord-328957-mzi8504f	10	26	has	have	VBZ
cord-328957-mzi8504f	10	27	proven	prove	VBN
cord-328957-mzi8504f	10	28	to	to	TO
cord-328957-mzi8504f	10	29	be	be	VB
cord-328957-mzi8504f	10	30	a	a	DT
cord-328957-mzi8504f	10	31	major	major	JJ
cord-328957-mzi8504f	10	32	weapon	weapon	NN
cord-328957-mzi8504f	10	33	in	in	IN
cord-328957-mzi8504f	10	34	this	this	DT
cord-328957-mzi8504f	10	35	fight	fight	NN
cord-328957-mzi8504f	10	36	due	due	IN
cord-328957-mzi8504f	10	37	to	to	IN
cord-328957-mzi8504f	10	38	the	the	DT
cord-328957-mzi8504f	10	39	lack	lack	NN
cord-328957-mzi8504f	10	40	of	of	IN
cord-328957-mzi8504f	10	41	an	an	DT
cord-328957-mzi8504f	10	42	effective	effective	JJ
cord-328957-mzi8504f	10	43	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	10	44	vaccine	vaccine	NN
cord-328957-mzi8504f	10	45	.	.	.
cord-328957-mzi8504f	11	1	Methods	method	NNS
cord-328957-mzi8504f	11	2	:	:	:
cord-328957-mzi8504f	11	3	We	-PRON-	PRP
cord-328957-mzi8504f	11	4	present	present	VBP
cord-328957-mzi8504f	11	5	a	a	DT
cord-328957-mzi8504f	11	6	new	new	JJ
cord-328957-mzi8504f	11	7	hybrid	hybrid	JJ
cord-328957-mzi8504f	11	8	model	model	NN
cord-328957-mzi8504f	11	9	for	for	IN
cord-328957-mzi8504f	11	10	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	11	11	dynamics	dynamic	NNS
cord-328957-mzi8504f	11	12	using	use	VBG
cord-328957-mzi8504f	11	13	both	both	CC
cord-328957-mzi8504f	11	14	an	an	DT
cord-328957-mzi8504f	11	15	age	age	NN
cord-328957-mzi8504f	11	16	-	-	HYPH
cord-328957-mzi8504f	11	17	structured	structure	VBN
cord-328957-mzi8504f	11	18	mathematical	mathematical	JJ
cord-328957-mzi8504f	11	19	model	model	NN
cord-328957-mzi8504f	11	20	and	and	CC
cord-328957-mzi8504f	11	21	spatio	spatio	JJ
cord-328957-mzi8504f	11	22	-	-	HYPH
cord-328957-mzi8504f	11	23	temporal	temporal	JJ
cord-328957-mzi8504f	11	24	model	model	NN
cord-328957-mzi8504f	11	25	in	in	IN
cord-328957-mzi8504f	11	26	silico	silico	NN
cord-328957-mzi8504f	11	27	,	,	,
cord-328957-mzi8504f	11	28	analyzing	analyze	VBG
cord-328957-mzi8504f	11	29	the	the	DT
cord-328957-mzi8504f	11	30	data	datum	NNS
cord-328957-mzi8504f	11	31	of	of	IN
cord-328957-mzi8504f	11	32	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	11	33	in	in	IN
cord-328957-mzi8504f	11	34	Israel	Israel	NNP
cord-328957-mzi8504f	11	35	.	.	.
cord-328957-mzi8504f	12	1	The	the	DT
cord-328957-mzi8504f	12	2	age	age	NN
cord-328957-mzi8504f	12	3	-	-	HYPH
cord-328957-mzi8504f	12	4	structured	structure	VBN
cord-328957-mzi8504f	12	5	mathematical	mathematical	JJ
cord-328957-mzi8504f	12	6	model	model	NN
cord-328957-mzi8504f	12	7	is	be	VBZ
cord-328957-mzi8504f	12	8	based	base	VBN
cord-328957-mzi8504f	12	9	on	on	IN
cord-328957-mzi8504f	12	10	SIRD	SIRD	NNP
cord-328957-mzi8504f	12	11	two	two	CD
cord-328957-mzi8504f	12	12	age	age	NN
cord-328957-mzi8504f	12	13	-	-	HYPH
cord-328957-mzi8504f	12	14	class	class	NN
cord-328957-mzi8504f	12	15	model	model	NN
cord-328957-mzi8504f	12	16	.	.	.
cord-328957-mzi8504f	13	1	The	the	DT
cord-328957-mzi8504f	13	2	spatial	spatial	JJ
cord-328957-mzi8504f	13	3	model	model	NN
cord-328957-mzi8504f	13	4	examines	examine	VBZ
cord-328957-mzi8504f	13	5	a	a	DT
cord-328957-mzi8504f	13	6	circle	circle	NN
cord-328957-mzi8504f	13	7	of	of	IN
cord-328957-mzi8504f	13	8	day	day	NN
cord-328957-mzi8504f	13	9	and	and	CC
cord-328957-mzi8504f	13	10	night	night	NN
cord-328957-mzi8504f	13	11	(	(	-LRB-
cord-328957-mzi8504f	13	12	with	with	IN
cord-328957-mzi8504f	13	13	one	one	CD
cord-328957-mzi8504f	13	14	-	-	HYPH
cord-328957-mzi8504f	13	15	hour	hour	NN
cord-328957-mzi8504f	13	16	resolution	resolution	NN
cord-328957-mzi8504f	13	17	)	)	-RRB-
cord-328957-mzi8504f	13	18	and	and	CC
cord-328957-mzi8504f	13	19	three	three	CD
cord-328957-mzi8504f	13	20	main	main	JJ
cord-328957-mzi8504f	13	21	locations	location	NNS
cord-328957-mzi8504f	13	22	(	(	-LRB-
cord-328957-mzi8504f	13	23	work	work	NN
cord-328957-mzi8504f	13	24	/	/	SYM
cord-328957-mzi8504f	13	25	school	school	NN
cord-328957-mzi8504f	13	26	or	or	CC
cord-328957-mzi8504f	13	27	home	home	NN
cord-328957-mzi8504f	13	28	)	)	-RRB-
cord-328957-mzi8504f	13	29	for	for	IN
cord-328957-mzi8504f	13	30	every	every	DT
cord-328957-mzi8504f	13	31	individual	individual	NN
cord-328957-mzi8504f	13	32	.	.	.
cord-328957-mzi8504f	14	1	Results	result	NNS
cord-328957-mzi8504f	14	2	:	:	:
cord-328957-mzi8504f	15	1	We	-PRON-	PRP
cord-328957-mzi8504f	15	2	determine	determine	VBP
cord-328957-mzi8504f	15	3	mathematically	mathematically	RB
cord-328957-mzi8504f	15	4	the	the	DT
cord-328957-mzi8504f	15	5	basic	basic	JJ
cord-328957-mzi8504f	15	6	reproduction	reproduction	NN
cord-328957-mzi8504f	15	7	number	number	NN
cord-328957-mzi8504f	15	8	(	(	-LRB-
cord-328957-mzi8504f	15	9	R_0	R_0	NNP
cord-328957-mzi8504f	15	10	)	)	-RRB-
cord-328957-mzi8504f	15	11	via	via	IN
cord-328957-mzi8504f	15	12	the	the	DT
cord-328957-mzi8504f	15	13	next	next	JJ
cord-328957-mzi8504f	15	14	-	-	HYPH
cord-328957-mzi8504f	15	15	generation	generation	NN
cord-328957-mzi8504f	15	16	matrix	matrix	NN
cord-328957-mzi8504f	15	17	based	base	VBN
cord-328957-mzi8504f	15	18	on	on	IN
cord-328957-mzi8504f	15	19	Markov	Markov	NNP
cord-328957-mzi8504f	15	20	chain	chain	NN
cord-328957-mzi8504f	15	21	theory	theory	NN
cord-328957-mzi8504f	15	22	.	.	.
cord-328957-mzi8504f	16	1	Then	then	RB
cord-328957-mzi8504f	16	2	,	,	,
cord-328957-mzi8504f	16	3	we	-PRON-	PRP
cord-328957-mzi8504f	16	4	analyze	analyze	VBP
cord-328957-mzi8504f	16	5	the	the	DT
cord-328957-mzi8504f	16	6	stability	stability	NN
cord-328957-mzi8504f	16	7	of	of	IN
cord-328957-mzi8504f	16	8	the	the	DT
cord-328957-mzi8504f	16	9	equilibria	equilibrium	NNS
cord-328957-mzi8504f	16	10	and	and	CC
cord-328957-mzi8504f	16	11	the	the	DT
cord-328957-mzi8504f	16	12	effects	effect	NNS
cord-328957-mzi8504f	16	13	of	of	IN
cord-328957-mzi8504f	16	14	the	the	DT
cord-328957-mzi8504f	16	15	significant	significant	JJ
cord-328957-mzi8504f	16	16	differences	difference	NNS
cord-328957-mzi8504f	16	17	in	in	IN
cord-328957-mzi8504f	16	18	infection	infection	NN
cord-328957-mzi8504f	16	19	rates	rate	NNS
cord-328957-mzi8504f	16	20	between	between	IN
cord-328957-mzi8504f	16	21	children	child	NNS
cord-328957-mzi8504f	16	22	and	and	CC
cord-328957-mzi8504f	16	23	adults	adult	NNS
cord-328957-mzi8504f	16	24	.	.	.
cord-328957-mzi8504f	17	1	Using	use	VBG
cord-328957-mzi8504f	17	2	the	the	DT
cord-328957-mzi8504f	17	3	hybrid	hybrid	JJ
cord-328957-mzi8504f	17	4	model	model	NN
cord-328957-mzi8504f	17	5	,	,	,
cord-328957-mzi8504f	17	6	we	-PRON-	PRP
cord-328957-mzi8504f	17	7	have	have	VBP
cord-328957-mzi8504f	17	8	introduced	introduce	VBN
cord-328957-mzi8504f	17	9	a	a	DT
cord-328957-mzi8504f	17	10	method	method	NN
cord-328957-mzi8504f	17	11	for	for	IN
cord-328957-mzi8504f	17	12	estimating	estimate	VBG
cord-328957-mzi8504f	17	13	the	the	DT
cord-328957-mzi8504f	17	14	reproduction	reproduction	NN
cord-328957-mzi8504f	17	15	number	number	NN
cord-328957-mzi8504f	17	16	of	of	IN
cord-328957-mzi8504f	17	17	an	an	DT
cord-328957-mzi8504f	17	18	epidemic	epidemic	NN
cord-328957-mzi8504f	17	19	in	in	IN
cord-328957-mzi8504f	17	20	real	real	JJ
cord-328957-mzi8504f	17	21	time	time	NN
cord-328957-mzi8504f	17	22	from	from	IN
cord-328957-mzi8504f	17	23	the	the	DT
cord-328957-mzi8504f	17	24	data	datum	NNS
cord-328957-mzi8504f	17	25	of	of	IN
cord-328957-mzi8504f	17	26	daily	daily	JJ
cord-328957-mzi8504f	17	27	notification	notification	NN
cord-328957-mzi8504f	17	28	of	of	IN
cord-328957-mzi8504f	17	29	cases	case	NNS
cord-328957-mzi8504f	17	30	.	.	.
cord-328957-mzi8504f	18	1	The	the	DT
cord-328957-mzi8504f	18	2	results	result	NNS
cord-328957-mzi8504f	18	3	of	of	IN
cord-328957-mzi8504f	18	4	the	the	DT
cord-328957-mzi8504f	18	5	proposed	propose	VBN
cord-328957-mzi8504f	18	6	model	model	NN
cord-328957-mzi8504f	18	7	are	be	VBP
cord-328957-mzi8504f	18	8	confirmed	confirm	VBN
cord-328957-mzi8504f	18	9	by	by	IN
cord-328957-mzi8504f	18	10	the	the	DT
cord-328957-mzi8504f	18	11	Israeli	israeli	JJ
cord-328957-mzi8504f	18	12	Lockdown	Lockdown	NNP
cord-328957-mzi8504f	18	13	experience	experience	NN
cord-328957-mzi8504f	18	14	with	with	IN
cord-328957-mzi8504f	18	15	a	a	DT
cord-328957-mzi8504f	18	16	mean	mean	JJ
cord-328957-mzi8504f	18	17	square	square	JJ
cord-328957-mzi8504f	18	18	error	error	NN
cord-328957-mzi8504f	18	19	of	of	IN
cord-328957-mzi8504f	18	20	0.205	0.205	CD
cord-328957-mzi8504f	18	21	over	over	IN
cord-328957-mzi8504f	18	22	two	two	CD
cord-328957-mzi8504f	18	23	weeks	week	NNS
cord-328957-mzi8504f	18	24	.	.	.
cord-328957-mzi8504f	19	1	The	the	DT
cord-328957-mzi8504f	19	2	model	model	NN
cord-328957-mzi8504f	19	3	was	be	VBD
cord-328957-mzi8504f	19	4	able	able	JJ
cord-328957-mzi8504f	19	5	to	to	TO
cord-328957-mzi8504f	19	6	predict	predict	VB
cord-328957-mzi8504f	19	7	changes	change	NNS
cord-328957-mzi8504f	19	8	in	in	IN
cord-328957-mzi8504f	19	9	(	(	-LRB-
cord-328957-mzi8504f	19	10	R_0	R_0	NNP
cord-328957-mzi8504f	19	11	)	)	-RRB-
cord-328957-mzi8504f	19	12	by	by	IN
cord-328957-mzi8504f	19	13	opening	open	VBG
cord-328957-mzi8504f	19	14	schools	school	NNS
cord-328957-mzi8504f	19	15	on	on	IN
cord-328957-mzi8504f	19	16	September	September	NNP
cord-328957-mzi8504f	19	17	1	1	CD
cord-328957-mzi8504f	19	18	,	,	,
cord-328957-mzi8504f	19	19	2020	2020	CD
cord-328957-mzi8504f	19	20	,	,	,
cord-328957-mzi8504f	19	21	resulting	result	VBG
cord-328957-mzi8504f	19	22	in	in	IN
cord-328957-mzi8504f	19	23	(	(	-LRB-
cord-328957-mzi8504f	19	24	R_0	R_0	NNP
cord-328957-mzi8504f	19	25	)	)	-RRB-
cord-328957-mzi8504f	19	26	=	=	NFP
cord-328957-mzi8504f	20	1	2.2	2.2	CD
cord-328957-mzi8504f	20	2	,	,	,
cord-328957-mzi8504f	20	3	which	which	WDT
cord-328957-mzi8504f	20	4	entailed	entail	VBD
cord-328957-mzi8504f	20	5	a	a	DT
cord-328957-mzi8504f	20	6	month	month	NN
cord-328957-mzi8504f	20	7	quarantine	quarantine	NN
cord-328957-mzi8504f	20	8	of	of	IN
cord-328957-mzi8504f	20	9	all	all	DT
cord-328957-mzi8504f	20	10	areas	area	NNS
cord-328957-mzi8504f	20	11	of	of	IN
cord-328957-mzi8504f	20	12	life	life	NN
cord-328957-mzi8504f	20	13	.	.	.
cord-328957-mzi8504f	21	1	According	accord	VBG
cord-328957-mzi8504f	21	2	to	to	IN
cord-328957-mzi8504f	21	3	the	the	DT
cord-328957-mzi8504f	21	4	model	model	NN
cord-328957-mzi8504f	21	5	,	,	,
cord-328957-mzi8504f	21	6	by	by	IN
cord-328957-mzi8504f	21	7	extending	extend	VBG
cord-328957-mzi8504f	21	8	the	the	DT
cord-328957-mzi8504f	21	9	school	school	NN
cord-328957-mzi8504f	21	10	day	day	NN
cord-328957-mzi8504f	21	11	to	to	IN
cord-328957-mzi8504f	21	12	9	9	CD
cord-328957-mzi8504f	21	13	hours	hour	NNS
cord-328957-mzi8504f	21	14	,	,	,
cord-328957-mzi8504f	21	15	and	and	CC
cord-328957-mzi8504f	21	16	assuming	assume	VBG
cord-328957-mzi8504f	21	17	that	that	IN
cord-328957-mzi8504f	21	18	children	child	NNS
cord-328957-mzi8504f	21	19	and	and	CC
cord-328957-mzi8504f	21	20	adults	adult	NNS
cord-328957-mzi8504f	21	21	go	go	VBP
cord-328957-mzi8504f	21	22	to	to	IN
cord-328957-mzi8504f	21	23	school	school	NN
cord-328957-mzi8504f	21	24	and	and	CC
cord-328957-mzi8504f	21	25	work	work	VB
cord-328957-mzi8504f	21	26	every	every	DT
cord-328957-mzi8504f	21	27	day	day	NN
cord-328957-mzi8504f	21	28	(	(	-LRB-
cord-328957-mzi8504f	21	29	except	except	IN
cord-328957-mzi8504f	21	30	weekends	weekend	NNS
cord-328957-mzi8504f	21	31	)	)	-RRB-
cord-328957-mzi8504f	21	32	,	,	,
cord-328957-mzi8504f	21	33	we	-PRON-	PRP
cord-328957-mzi8504f	21	34	get	get	VBP
cord-328957-mzi8504f	21	35	a	a	DT
cord-328957-mzi8504f	21	36	significant	significant	JJ
cord-328957-mzi8504f	21	37	reduction	reduction	NN
cord-328957-mzi8504f	21	38	in	in	IN
cord-328957-mzi8504f	21	39	(	(	-LRB-
cord-328957-mzi8504f	21	40	R_0	R_0	NNP
cord-328957-mzi8504f	21	41	)	)	-RRB-
cord-328957-mzi8504f	21	42	of	of	IN
cord-328957-mzi8504f	21	43	1.45	1.45	CD
cord-328957-mzi8504f	21	44	.	.	.
cord-328957-mzi8504f	22	1	Finally	finally	RB
cord-328957-mzi8504f	22	2	,	,	,
cord-328957-mzi8504f	22	3	model	model	NN
cord-328957-mzi8504f	22	4	-	-	HYPH
cord-328957-mzi8504f	22	5	based	base	VBN
cord-328957-mzi8504f	22	6	analytical	analytical	JJ
cord-328957-mzi8504f	22	7	-	-	HYPH
cord-328957-mzi8504f	22	8	numerical	numerical	JJ
cord-328957-mzi8504f	22	9	results	result	NNS
cord-328957-mzi8504f	22	10	are	be	VBP
cord-328957-mzi8504f	22	11	obtained	obtain	VBN
cord-328957-mzi8504f	22	12	and	and	CC
cord-328957-mzi8504f	22	13	displayed	display	VBN
cord-328957-mzi8504f	22	14	in	in	IN
cord-328957-mzi8504f	22	15	graphical	graphical	JJ
cord-328957-mzi8504f	22	16	profiles	profile	NNS
cord-328957-mzi8504f	22	17	.	.	.
cord-328957-mzi8504f	23	1	Conclusions	conclusion	NNS
cord-328957-mzi8504f	23	2	:	:	:
cord-328957-mzi8504f	24	1	The	the	DT
cord-328957-mzi8504f	24	2	use	use	NN
cord-328957-mzi8504f	24	3	of	of	IN
cord-328957-mzi8504f	24	4	mathematical	mathematical	JJ
cord-328957-mzi8504f	24	5	models	model	NNS
cord-328957-mzi8504f	24	6	promises	promise	VBZ
cord-328957-mzi8504f	24	7	to	to	TO
cord-328957-mzi8504f	24	8	reduce	reduce	VB
cord-328957-mzi8504f	24	9	the	the	DT
cord-328957-mzi8504f	24	10	uncertainty	uncertainty	NN
cord-328957-mzi8504f	24	11	in	in	IN
cord-328957-mzi8504f	24	12	the	the	DT
cord-328957-mzi8504f	24	13	choice	choice	NN
cord-328957-mzi8504f	24	14	of	of	IN
cord-328957-mzi8504f	24	15	Lockdown	Lockdown	NNP
cord-328957-mzi8504f	24	16	policies	policy	NNS
cord-328957-mzi8504f	24	17	.	.	.
cord-328957-mzi8504f	25	1	Our	-PRON-	PRP$
cord-328957-mzi8504f	25	2	unique	unique	JJ
cord-328957-mzi8504f	25	3	use	use	NN
cord-328957-mzi8504f	25	4	of	of	IN
cord-328957-mzi8504f	25	5	contact	contact	NN
cord-328957-mzi8504f	25	6	details	detail	NNS
cord-328957-mzi8504f	25	7	from	from	IN
cord-328957-mzi8504f	25	8	2	2	CD
cord-328957-mzi8504f	25	9	classes	class	NNS
cord-328957-mzi8504f	25	10	(	(	-LRB-
cord-328957-mzi8504f	25	11	children	child	NNS
cord-328957-mzi8504f	25	12	and	and	CC
cord-328957-mzi8504f	25	13	adults	adult	NNS
cord-328957-mzi8504f	25	14	)	)	-RRB-
cord-328957-mzi8504f	25	15	,	,	,
cord-328957-mzi8504f	25	16	the	the	DT
cord-328957-mzi8504f	25	17	interaction	interaction	NN
cord-328957-mzi8504f	25	18	of	of	IN
cord-328957-mzi8504f	25	19	populations	population	NNS
cord-328957-mzi8504f	25	20	depending	depend	VBG
cord-328957-mzi8504f	25	21	on	on	IN
cord-328957-mzi8504f	25	22	the	the	DT
cord-328957-mzi8504f	25	23	time	time	NN
cord-328957-mzi8504f	25	24	of	of	IN
cord-328957-mzi8504f	25	25	day	day	NN
cord-328957-mzi8504f	25	26	(	(	-LRB-
cord-328957-mzi8504f	25	27	the	the	DT
cord-328957-mzi8504f	25	28	cycle	cycle	NN
cord-328957-mzi8504f	25	29	of	of	IN
cord-328957-mzi8504f	25	30	day	day	NN
cord-328957-mzi8504f	25	31	and	and	CC
cord-328957-mzi8504f	25	32	night	night	NN
cord-328957-mzi8504f	25	33	)	)	-RRB-
cord-328957-mzi8504f	25	34	,	,	,
cord-328957-mzi8504f	25	35	and	and	CC
cord-328957-mzi8504f	25	36	several	several	JJ
cord-328957-mzi8504f	25	37	physical	physical	JJ
cord-328957-mzi8504f	25	38	locations	location	NNS
cord-328957-mzi8504f	25	39	,	,	,
cord-328957-mzi8504f	25	40	allowed	allow	VBD
cord-328957-mzi8504f	25	41	a	a	DT
cord-328957-mzi8504f	25	42	new	new	JJ
cord-328957-mzi8504f	25	43	look	look	NN
cord-328957-mzi8504f	25	44	at	at	IN
cord-328957-mzi8504f	25	45	the	the	DT
cord-328957-mzi8504f	25	46	differential	differential	JJ
cord-328957-mzi8504f	25	47	dynamics	dynamic	NNS
cord-328957-mzi8504f	25	48	of	of	IN
cord-328957-mzi8504f	25	49	the	the	DT
cord-328957-mzi8504f	25	50	spread	spread	NN
cord-328957-mzi8504f	25	51	and	and	CC
cord-328957-mzi8504f	25	52	control	control	NN
cord-328957-mzi8504f	25	53	of	of	IN
cord-328957-mzi8504f	25	54	infection	infection	NN
cord-328957-mzi8504f	25	55	.	.	.
cord-328957-mzi8504f	26	1	Using	use	VBG
cord-328957-mzi8504f	26	2	knowledge	knowledge	NN
cord-328957-mzi8504f	26	3	about	about	IN
cord-328957-mzi8504f	26	4	how	how	WRB
cord-328957-mzi8504f	26	5	the	the	DT
cord-328957-mzi8504f	26	6	length	length	NN
cord-328957-mzi8504f	26	7	of	of	IN
cord-328957-mzi8504f	26	8	the	the	DT
cord-328957-mzi8504f	26	9	work	work	NN
cord-328957-mzi8504f	26	10	and	and	CC
cord-328957-mzi8504f	26	11	school	school	NN
cord-328957-mzi8504f	26	12	day	day	NN
cord-328957-mzi8504f	26	13	affects	affect	VBZ
cord-328957-mzi8504f	26	14	the	the	DT
cord-328957-mzi8504f	26	15	dynamics	dynamic	NNS
cord-328957-mzi8504f	26	16	of	of	IN
cord-328957-mzi8504f	26	17	the	the	DT
cord-328957-mzi8504f	26	18	spread	spread	NN
cord-328957-mzi8504f	26	19	of	of	IN
cord-328957-mzi8504f	26	20	the	the	DT
cord-328957-mzi8504f	26	21	disease	disease	NN
cord-328957-mzi8504f	26	22	can	can	MD
cord-328957-mzi8504f	26	23	be	be	VB
cord-328957-mzi8504f	26	24	useful	useful	JJ
cord-328957-mzi8504f	26	25	for	for	IN
cord-328957-mzi8504f	26	26	improving	improve	VBG
cord-328957-mzi8504f	26	27	control	control	NN
cord-328957-mzi8504f	26	28	programs	program	NNS
cord-328957-mzi8504f	26	29	,	,	,
cord-328957-mzi8504f	26	30	mitigation	mitigation	NN
cord-328957-mzi8504f	26	31	,	,	,
cord-328957-mzi8504f	26	32	and	and	CC
cord-328957-mzi8504f	26	33	policy	policy	NN
cord-328957-mzi8504f	26	34	.	.	.
cord-328957-mzi8504f	27	1	Introduction	introduction	NN
cord-328957-mzi8504f	27	2	and	and	CC
cord-328957-mzi8504f	27	3	related	related	JJ
cord-328957-mzi8504f	27	4	work	work	NN
cord-328957-mzi8504f	27	5	10	10	CD
cord-328957-mzi8504f	28	1	At	at	IN
cord-328957-mzi8504f	28	2	the	the	DT
cord-328957-mzi8504f	28	3	beginning	beginning	NN
cord-328957-mzi8504f	28	4	of	of	IN
cord-328957-mzi8504f	28	5	2020	2020	CD
cord-328957-mzi8504f	28	6	,	,	,
cord-328957-mzi8504f	28	7	the	the	DT
cord-328957-mzi8504f	28	8	novel	novel	JJ
cord-328957-mzi8504f	28	9	severe	severe	JJ
cord-328957-mzi8504f	28	10	acute	acute	JJ
cord-328957-mzi8504f	28	11	respiratory	respiratory	JJ
cord-328957-mzi8504f	28	12	syndrome	syndrome	NN
cord-328957-mzi8504f	28	13	coronavirus	coronavirus	NN
cord-328957-mzi8504f	28	14	11	11	CD
cord-328957-mzi8504f	28	15	2	2	CD
cord-328957-mzi8504f	28	16	(	(	-LRB-
cord-328957-mzi8504f	28	17	SARS	SARS	NNP
cord-328957-mzi8504f	28	18	-	-	HYPH
cord-328957-mzi8504f	28	19	CoV-2	CoV-2	NNP
cord-328957-mzi8504f	28	20	)	)	-RRB-
cord-328957-mzi8504f	28	21	,	,	,
cord-328957-mzi8504f	28	22	also	also	RB
cord-328957-mzi8504f	28	23	known	know	VBN
cord-328957-mzi8504f	28	24	as	as	IN
cord-328957-mzi8504f	28	25	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	28	26	reached	reach	VBD
cord-328957-mzi8504f	28	27	Europe	Europe	NNP
cord-328957-mzi8504f	28	28	and	and	CC
cord-328957-mzi8504f	28	29	the	the	DT
cord-328957-mzi8504f	28	30	western	western	JJ
cord-328957-mzi8504f	28	31	world	world	NN
cord-328957-mzi8504f	28	32	12	12	CD
cord-328957-mzi8504f	28	33	from	from	IN
cord-328957-mzi8504f	28	34	China	China	NNP
cord-328957-mzi8504f	28	35	[	[	-LRB-
cord-328957-mzi8504f	28	36	1	1	CD
cord-328957-mzi8504f	28	37	]	]	-RRB-
cord-328957-mzi8504f	28	38	.	.	.
cord-328957-mzi8504f	29	1	Similar	similar	JJ
cord-328957-mzi8504f	29	2	to	to	IN
cord-328957-mzi8504f	29	3	other	other	JJ
cord-328957-mzi8504f	29	4	diseases	disease	NNS
cord-328957-mzi8504f	29	5	from	from	IN
cord-328957-mzi8504f	29	6	the	the	DT
cord-328957-mzi8504f	29	7	coronavirus	coronavirus	NN
cord-328957-mzi8504f	29	8	family	family	NN
cord-328957-mzi8504f	29	9	,	,	,
cord-328957-mzi8504f	29	10	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	29	11	is	be	VBZ
cord-328957-mzi8504f	29	12	13	13	CD
cord-328957-mzi8504f	29	13	transmitted	transmit	VBN
cord-328957-mzi8504f	29	14	human	human	NN
cord-328957-mzi8504f	29	15	-	-	HYPH
cord-328957-mzi8504f	29	16	to	to	IN
cord-328957-mzi8504f	29	17	-	-	HYPH
cord-328957-mzi8504f	29	18	human	human	NN
cord-328957-mzi8504f	29	19	,	,	,
cord-328957-mzi8504f	29	20	but	but	CC
cord-328957-mzi8504f	29	21	it	-PRON-	PRP
cord-328957-mzi8504f	29	22	turned	turn	VBD
cord-328957-mzi8504f	29	23	out	out	RP
cord-328957-mzi8504f	29	24	that	that	IN
cord-328957-mzi8504f	29	25	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	29	26	is	be	VBZ
cord-328957-mzi8504f	29	27	more	more	RBR
cord-328957-mzi8504f	29	28	infectious	infectious	JJ
cord-328957-mzi8504f	29	29	and	and	CC
cord-328957-mzi8504f	29	30	14	14	CD
cord-328957-mzi8504f	29	31	transmissible	transmissible	JJ
cord-328957-mzi8504f	29	32	than	than	IN
cord-328957-mzi8504f	29	33	previous	previous	JJ
cord-328957-mzi8504f	29	34	coronavirus	coronavirus	NN
cord-328957-mzi8504f	29	35	[	[	-LRB-
cord-328957-mzi8504f	29	36	2	2	CD
cord-328957-mzi8504f	29	37	]	]	-RRB-
cord-328957-mzi8504f	29	38	.	.	.
cord-328957-mzi8504f	30	1	15	15	CD
cord-328957-mzi8504f	31	1	The	the	DT
cord-328957-mzi8504f	31	2	World	World	NNP
cord-328957-mzi8504f	31	3	Health	Health	NNP
cord-328957-mzi8504f	31	4	Organization	Organization	NNP
cord-328957-mzi8504f	31	5	(	(	-LRB-
cord-328957-mzi8504f	31	6	WHO	who	WP
cord-328957-mzi8504f	31	7	)	)	-RRB-
cord-328957-mzi8504f	31	8	has	have	VBZ
cord-328957-mzi8504f	31	9	declared	declare	VBN
cord-328957-mzi8504f	31	10	COVID-2019	COVID-2019	NNP
cord-328957-mzi8504f	31	11	a	a	DT
cord-328957-mzi8504f	31	12	public	public	JJ
cord-328957-mzi8504f	31	13	health	health	NN
cord-328957-mzi8504f	31	14	16	16	CD
cord-328957-mzi8504f	31	15	emergency	emergency	NN
cord-328957-mzi8504f	31	16	of	of	IN
cord-328957-mzi8504f	31	17	international	international	JJ
cord-328957-mzi8504f	31	18	concern	concern	NN
cord-328957-mzi8504f	31	19	[	[	-LRB-
cord-328957-mzi8504f	31	20	3	3	CD
cord-328957-mzi8504f	31	21	,	,	,
cord-328957-mzi8504f	31	22	4	4	CD
cord-328957-mzi8504f	31	23	]	]	-RRB-
cord-328957-mzi8504f	31	24	.	.	.
cord-328957-mzi8504f	32	1	Currently	currently	RB
cord-328957-mzi8504f	32	2	,	,	,
cord-328957-mzi8504f	32	3	due	due	IN
cord-328957-mzi8504f	32	4	to	to	IN
cord-328957-mzi8504f	32	5	a	a	DT
cord-328957-mzi8504f	32	6	lack	lack	NN
cord-328957-mzi8504f	32	7	of	of	IN
cord-328957-mzi8504f	32	8	an	an	DT
cord-328957-mzi8504f	32	9	efficient	efficient	JJ
cord-328957-mzi8504f	32	10	vaccine	vaccine	NN
cord-328957-mzi8504f	32	11	or	or	CC
cord-328957-mzi8504f	32	12	17	17	CD
cord-328957-mzi8504f	32	13	clinical	clinical	JJ
cord-328957-mzi8504f	32	14	treatment	treatment	NN
cord-328957-mzi8504f	32	15	to	to	IN
cord-328957-mzi8504f	32	16	COVID-19	covid-19	VB
cord-328957-mzi8504f	32	17	,	,	,
cord-328957-mzi8504f	32	18	policy	policy	NN
cord-328957-mzi8504f	32	19	-	-	HYPH
cord-328957-mzi8504f	32	20	makers	maker	NNS
cord-328957-mzi8504f	32	21	are	be	VBP
cord-328957-mzi8504f	32	22	forced	force	VBN
cord-328957-mzi8504f	32	23	to	to	TO
cord-328957-mzi8504f	32	24	rely	rely	VB
cord-328957-mzi8504f	32	25	on	on	IN
cord-328957-mzi8504f	32	26	non	non	JJ
cord-328957-mzi8504f	32	27	-	-	JJ
cord-328957-mzi8504f	32	28	pharmaceutical	pharmaceutical	JJ
cord-328957-mzi8504f	32	29	18	18	CD
cord-328957-mzi8504f	32	30	intervention	intervention	NN
cord-328957-mzi8504f	32	31	(	(	-LRB-
cord-328957-mzi8504f	32	32	NPI	NPI	NNP
cord-328957-mzi8504f	32	33	)	)	-RRB-
cord-328957-mzi8504f	32	34	policies	policy	NNS
cord-328957-mzi8504f	32	35	to	to	TO
cord-328957-mzi8504f	32	36	reduce	reduce	VB
cord-328957-mzi8504f	32	37	the	the	DT
cord-328957-mzi8504f	32	38	infection	infection	NN
cord-328957-mzi8504f	32	39	rate	rate	NN
cord-328957-mzi8504f	32	40	and	and	CC
cord-328957-mzi8504f	32	41	control	control	VB
cord-328957-mzi8504f	32	42	the	the	DT
cord-328957-mzi8504f	32	43	epidemic	epidemic	NN
cord-328957-mzi8504f	32	44	.	.	.
cord-328957-mzi8504f	33	1	A	a	DT
cord-328957-mzi8504f	33	2	few	few	JJ
cord-328957-mzi8504f	33	3	19	19	CD
cord-328957-mzi8504f	33	4	examples	example	NNS
cord-328957-mzi8504f	33	5	of	of	IN
cord-328957-mzi8504f	33	6	NPI	npi	NN
cord-328957-mzi8504f	33	7	policies	policy	NNS
cord-328957-mzi8504f	33	8	are	be	VBP
cord-328957-mzi8504f	33	9	masks	mask	NNS
cord-328957-mzi8504f	33	10	,	,	,
cord-328957-mzi8504f	33	11	social	social	JJ
cord-328957-mzi8504f	33	12	distancing	distancing	NN
cord-328957-mzi8504f	33	13	,	,	,
cord-328957-mzi8504f	33	14	work	work	NN
cord-328957-mzi8504f	33	15	capsules	capsule	NNS
cord-328957-mzi8504f	33	16	,	,	,
cord-328957-mzi8504f	33	17	and	and	CC
cord-328957-mzi8504f	33	18	partial	partial	JJ
cord-328957-mzi8504f	33	19	to	to	IN
cord-328957-mzi8504f	33	20	a	a	DT
cord-328957-mzi8504f	33	21	full	full	JJ
cord-328957-mzi8504f	33	22	20	20	CD
cord-328957-mzi8504f	33	23	lockdown	lockdown	NN
cord-328957-mzi8504f	33	24	of	of	IN
cord-328957-mzi8504f	33	25	central	central	JJ
cord-328957-mzi8504f	33	26	locations	location	NNS
cord-328957-mzi8504f	33	27	(	(	-LRB-
cord-328957-mzi8504f	33	28	restaurants	restaurant	NNS
cord-328957-mzi8504f	33	29	,	,	,
cord-328957-mzi8504f	33	30	malls	mall	NNS
cord-328957-mzi8504f	33	31	,	,	,
cord-328957-mzi8504f	33	32	offices	office	NNS
cord-328957-mzi8504f	33	33	,	,	,
cord-328957-mzi8504f	33	34	etc	etc	FW
cord-328957-mzi8504f	33	35	.	.	.
cord-328957-mzi8504f	33	36	)	)	-RRB-
cord-328957-mzi8504f	33	37	.	.	.
cord-328957-mzi8504f	34	1	These	these	DT
cord-328957-mzi8504f	34	2	policies	policy	NNS
cord-328957-mzi8504f	34	3	reduce	reduce	VBP
cord-328957-mzi8504f	34	4	the	the	DT
cord-328957-mzi8504f	34	5	21	21	CD
cord-328957-mzi8504f	34	6	infection	infection	NN
cord-328957-mzi8504f	34	7	rate	rate	NN
cord-328957-mzi8504f	34	8	but	but	CC
cord-328957-mzi8504f	34	9	have	have	VBP
cord-328957-mzi8504f	34	10	an	an	DT
cord-328957-mzi8504f	34	11	influence	influence	NN
cord-328957-mzi8504f	34	12	on	on	IN
cord-328957-mzi8504f	34	13	the	the	DT
cord-328957-mzi8504f	34	14	economy	economy	NN
cord-328957-mzi8504f	34	15	,	,	,
cord-328957-mzi8504f	34	16	healthcare	healthcare	NN
cord-328957-mzi8504f	34	17	system	system	NN
cord-328957-mzi8504f	34	18	,	,	,
cord-328957-mzi8504f	34	19	and	and	CC
cord-328957-mzi8504f	34	20	social	social	JJ
cord-328957-mzi8504f	34	21	life	life	NN
cord-328957-mzi8504f	34	22	.	.	.
cord-328957-mzi8504f	35	1	22	22	CD
cord-328957-mzi8504f	35	2	Multiple	multiple	JJ
cord-328957-mzi8504f	35	3	studies	study	NNS
cord-328957-mzi8504f	35	4	have	have	VBP
cord-328957-mzi8504f	35	5	been	be	VBN
cord-328957-mzi8504f	35	6	conducted	conduct	VBN
cord-328957-mzi8504f	35	7	to	to	TO
cord-328957-mzi8504f	35	8	study	study	VB
cord-328957-mzi8504f	35	9	epidemics	epidemic	NNS
cord-328957-mzi8504f	35	10	in	in	IN
cord-328957-mzi8504f	35	11	general	general	JJ
cord-328957-mzi8504f	35	12	and	and	CC
cord-328957-mzi8504f	35	13	the	the	DT
cord-328957-mzi8504f	35	14	COVID-19	covid-19	JJ
cord-328957-mzi8504f	35	15	23	23	CD
cord-328957-mzi8504f	35	16	epidemic	epidemic	NN
cord-328957-mzi8504f	35	17	in	in	IN
cord-328957-mzi8504f	35	18	particular	particular	JJ
cord-328957-mzi8504f	35	19	from	from	IN
cord-328957-mzi8504f	35	20	both	both	DT
cord-328957-mzi8504f	35	21	biological	biological	JJ
cord-328957-mzi8504f	35	22	and	and	CC
cord-328957-mzi8504f	35	23	epidemiological	epidemiological	JJ
cord-328957-mzi8504f	35	24	perspective	perspective	NN
cord-328957-mzi8504f	35	25	providing	provide	VBG
cord-328957-mzi8504f	35	26	the	the	DT
cord-328957-mzi8504f	35	27	24	24	CD
cord-328957-mzi8504f	35	28	information	information	NN
cord-328957-mzi8504f	35	29	about	about	IN
cord-328957-mzi8504f	35	30	the	the	DT
cord-328957-mzi8504f	35	31	epidemics	epidemic	NNS
cord-328957-mzi8504f	35	32	behavior	behavior	NN
cord-328957-mzi8504f	35	33	with	with	IN
cord-328957-mzi8504f	35	34	relevant	relevant	JJ
cord-328957-mzi8504f	35	35	data	datum	NNS
cord-328957-mzi8504f	35	36	for	for	IN
cord-328957-mzi8504f	35	37	later	later	JJ
cord-328957-mzi8504f	35	38	modeling	model	VBG
cord-328957-mzi8504f	35	39	[	[	-LRB-
cord-328957-mzi8504f	35	40	1	1	CD
cord-328957-mzi8504f	35	41	,	,	,
cord-328957-mzi8504f	35	42	[	[	-LRB-
cord-328957-mzi8504f	35	43	5	5	CD
cord-328957-mzi8504f	35	44	]	]	-RRB-
cord-328957-mzi8504f	35	45	[	[	-LRB-
cord-328957-mzi8504f	35	46	6	6	CD
cord-328957-mzi8504f	35	47	]	]	-RRB-
cord-328957-mzi8504f	35	48	[	[	-LRB-
cord-328957-mzi8504f	35	49	7	7	CD
cord-328957-mzi8504f	35	50	]	]	-RRB-
cord-328957-mzi8504f	36	1	[	[	-LRB-
cord-328957-mzi8504f	36	2	8	8	CD
cord-328957-mzi8504f	36	3	]	]	-RRB-
cord-328957-mzi8504f	36	4	[	[	-LRB-
cord-328957-mzi8504f	36	5	9	9	CD
cord-328957-mzi8504f	36	6	]	]	-RRB-
cord-328957-mzi8504f	36	7	.	.	.
cord-328957-mzi8504f	37	1	25	25	CD
cord-328957-mzi8504f	38	1	In	in	IN
cord-328957-mzi8504f	38	2	addition	addition	NN
cord-328957-mzi8504f	38	3	,	,	,
cord-328957-mzi8504f	38	4	these	these	DT
cord-328957-mzi8504f	38	5	studies	study	NNS
cord-328957-mzi8504f	38	6	examine	examine	VBP
cord-328957-mzi8504f	38	7	the	the	DT
cord-328957-mzi8504f	38	8	clinical	clinical	JJ
cord-328957-mzi8504f	38	9	characteristics	characteristic	NNS
cord-328957-mzi8504f	38	10	of	of	IN
cord-328957-mzi8504f	38	11	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	38	12	,	,	,
cord-328957-mzi8504f	38	13	enabling	enable	VBG
cord-328957-mzi8504f	38	14	a	a	DT
cord-328957-mzi8504f	38	15	26	26	CD
cord-328957-mzi8504f	38	16	deeper	deep	JJR
cord-328957-mzi8504f	38	17	understanding	understanding	NN
cord-328957-mzi8504f	38	18	of	of	IN
cord-328957-mzi8504f	38	19	the	the	DT
cord-328957-mzi8504f	38	20	disease	disease	NN
cord-328957-mzi8504f	38	21	spreads	spread	VBZ
cord-328957-mzi8504f	38	22	in	in	IN
cord-328957-mzi8504f	38	23	the	the	DT
cord-328957-mzi8504f	38	24	population	population	NN
cord-328957-mzi8504f	38	25	.	.	.
cord-328957-mzi8504f	39	1	27	27	CD
cord-328957-mzi8504f	39	2	Mathematical	mathematical	JJ
cord-328957-mzi8504f	39	3	models	model	NNS
cord-328957-mzi8504f	39	4	are	be	VBP
cord-328957-mzi8504f	39	5	shown	show	VBN
cord-328957-mzi8504f	39	6	to	to	TO
cord-328957-mzi8504f	39	7	be	be	VB
cord-328957-mzi8504f	39	8	a	a	DT
cord-328957-mzi8504f	39	9	useful	useful	JJ
cord-328957-mzi8504f	39	10	tool	tool	NN
cord-328957-mzi8504f	39	11	for	for	IN
cord-328957-mzi8504f	39	12	policy	policy	NN
cord-328957-mzi8504f	39	13	-	-	HYPH
cord-328957-mzi8504f	39	14	makers	maker	NNS
cord-328957-mzi8504f	39	15	to	to	TO
cord-328957-mzi8504f	39	16	make	make	VB
cord-328957-mzi8504f	39	17	data-28	data-28	NNP
cord-328957-mzi8504f	39	18	driven	drive	VBN
cord-328957-mzi8504f	39	19	decisions	decision	NNS
cord-328957-mzi8504f	39	20	based	base	VBN
cord-328957-mzi8504f	39	21	on	on	IN
cord-328957-mzi8504f	39	22	investigation	investigation	NN
cord-328957-mzi8504f	39	23	of	of	IN
cord-328957-mzi8504f	39	24	different	different	JJ
cord-328957-mzi8504f	39	25	scenarios	scenario	NNS
cord-328957-mzi8504f	39	26	and	and	CC
cord-328957-mzi8504f	39	27	their	-PRON-	PRP$
cord-328957-mzi8504f	39	28	outcomes	outcome	NNS
cord-328957-mzi8504f	39	29	in	in	IN
cord-328957-mzi8504f	39	30	a	a	DT
cord-328957-mzi8504f	39	31	29	29	CD
cord-328957-mzi8504f	39	32	controlled	control	VBN
cord-328957-mzi8504f	39	33	manner	manner	NN
cord-328957-mzi8504f	39	34	[	[	-LRB-
cord-328957-mzi8504f	39	35	5	5	CD
cord-328957-mzi8504f	39	36	,	,	,
cord-328957-mzi8504f	39	37	10	10	CD
cord-328957-mzi8504f	39	38	,	,	,
cord-328957-mzi8504f	39	39	11	11	CD
cord-328957-mzi8504f	39	40	]	]	-RRB-
cord-328957-mzi8504f	39	41	.	.	.
cord-328957-mzi8504f	40	1	These	these	DT
cord-328957-mzi8504f	40	2	mathematical	mathematical	JJ
cord-328957-mzi8504f	40	3	models	model	NNS
cord-328957-mzi8504f	40	4	can	can	MD
cord-328957-mzi8504f	40	5	be	be	VB
cord-328957-mzi8504f	40	6	divided	divide	VBN
cord-328957-mzi8504f	40	7	into	into	IN
cord-328957-mzi8504f	40	8	two	two	CD
cord-328957-mzi8504f	40	9	main	main	JJ
cord-328957-mzi8504f	40	10	30	30	CD
cord-328957-mzi8504f	40	11	groups	group	NNS
cord-328957-mzi8504f	40	12	.	.	.
cord-328957-mzi8504f	41	1	31	31	CD
cord-328957-mzi8504f	42	1	First	first	RB
cord-328957-mzi8504f	42	2	,	,	,
cord-328957-mzi8504f	42	3	models	model	NNS
cord-328957-mzi8504f	42	4	aim	aim	VBP
cord-328957-mzi8504f	42	5	to	to	TO
cord-328957-mzi8504f	42	6	predict	predict	VB
cord-328957-mzi8504f	42	7	the	the	DT
cord-328957-mzi8504f	42	8	different	different	JJ
cord-328957-mzi8504f	42	9	parameters	parameter	NNS
cord-328957-mzi8504f	42	10	such	such	JJ
cord-328957-mzi8504f	42	11	as	as	IN
cord-328957-mzi8504f	42	12	the	the	DT
cord-328957-mzi8504f	42	13	total	total	JJ
cord-328957-mzi8504f	42	14	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	42	15	32	32	CD
cord-328957-mzi8504f	42	16	related	related	JJ
cord-328957-mzi8504f	42	17	death	death	NN
cord-328957-mzi8504f	42	18	and	and	CC
cord-328957-mzi8504f	42	19	peak	peak	NN
cord-328957-mzi8504f	42	20	in	in	IN
cord-328957-mzi8504f	42	21	hospitalized	hospitalize	VBN
cord-328957-mzi8504f	42	22	individuals	individual	NNS
cord-328957-mzi8504f	42	23	,	,	,
cord-328957-mzi8504f	42	24	given	give	VBN
cord-328957-mzi8504f	42	25	the	the	DT
cord-328957-mzi8504f	42	26	historical	historical	JJ
cord-328957-mzi8504f	42	27	data	datum	NNS
cord-328957-mzi8504f	42	28	up	up	IN
cord-328957-mzi8504f	42	29	to	to	IN
cord-328957-mzi8504f	42	30	some	some	DT
cord-328957-mzi8504f	42	31	33	33	CD
cord-328957-mzi8504f	42	32	point	point	NN
cord-328957-mzi8504f	42	33	.	.	.
cord-328957-mzi8504f	43	1	For	for	IN
cord-328957-mzi8504f	43	2	example	example	NN
cord-328957-mzi8504f	43	3	,	,	,
cord-328957-mzi8504f	43	4	Nesteruk	Nesteruk	NNP
cord-328957-mzi8504f	43	5	[	[	-LRB-
cord-328957-mzi8504f	43	6	12	12	CD
cord-328957-mzi8504f	43	7	]	]	-RRB-
cord-328957-mzi8504f	43	8	used	use	VBD
cord-328957-mzi8504f	43	9	the	the	DT
cord-328957-mzi8504f	43	10	data	datum	NNS
cord-328957-mzi8504f	43	11	from	from	IN
cord-328957-mzi8504f	43	12	January	January	NNP
cord-328957-mzi8504f	43	13	16	16	CD
cord-328957-mzi8504f	43	14	to	to	IN
cord-328957-mzi8504f	43	15	February	February	NNP
cord-328957-mzi8504f	43	16	9	9	CD
cord-328957-mzi8504f	43	17	(	(	-LRB-
cord-328957-mzi8504f	43	18	2020	2020	CD
cord-328957-mzi8504f	43	19	)	)	-RRB-
cord-328957-mzi8504f	43	20	,	,	,
cord-328957-mzi8504f	43	21	34	34	CD
cord-328957-mzi8504f	43	22	from	from	IN
cord-328957-mzi8504f	43	23	mainland	mainland	NN
cord-328957-mzi8504f	43	24	China	China	NNP
cord-328957-mzi8504f	43	25	with	with	IN
cord-328957-mzi8504f	43	26	the	the	DT
cord-328957-mzi8504f	43	27	continuous	continuous	JJ
cord-328957-mzi8504f	43	28	SIR	SIR	NNP
cord-328957-mzi8504f	43	29	(	(	-LRB-
cord-328957-mzi8504f	43	30	S	s	NN
cord-328957-mzi8504f	43	31	-	-	HYPH
cord-328957-mzi8504f	43	32	susceptible	susceptible	JJ
cord-328957-mzi8504f	43	33	,	,	,
cord-328957-mzi8504f	43	34	I	-PRON-	PRP
cord-328957-mzi8504f	43	35	-	-	HYPH
cord-328957-mzi8504f	43	36	infected	infect	VBN
cord-328957-mzi8504f	43	37	,	,	,
cord-328957-mzi8504f	43	38	R	r	NN
cord-328957-mzi8504f	43	39	-	-	HYPH
cord-328957-mzi8504f	43	40	recovered	recover	VBN
cord-328957-mzi8504f	43	41	)	)	-RRB-
cord-328957-mzi8504f	43	42	35	35	CD
cord-328957-mzi8504f	43	43	model	model	NN
cord-328957-mzi8504f	43	44	.	.	.
cord-328957-mzi8504f	44	1	Nesteruk	Nesteruk	NNP
cord-328957-mzi8504f	44	2	[	[	-LRB-
cord-328957-mzi8504f	44	3	12	12	CD
cord-328957-mzi8504f	44	4	]	]	-RRB-
cord-328957-mzi8504f	44	5	fitted	fit	VBD
cord-328957-mzi8504f	44	6	the	the	DT
cord-328957-mzi8504f	44	7	SIR	SIR	NNP
cord-328957-mzi8504f	44	8	model	model	NN
cord-328957-mzi8504f	44	9	using	use	VBG
cord-328957-mzi8504f	44	10	the	the	DT
cord-328957-mzi8504f	44	11	least	least	JJS
cord-328957-mzi8504f	44	12	mean	mean	JJ
cord-328957-mzi8504f	44	13	square	square	JJ
cord-328957-mzi8504f	44	14	method	method	NN
cord-328957-mzi8504f	44	15	,	,	,
cord-328957-mzi8504f	44	16	which	which	WDT
cord-328957-mzi8504f	44	17	36	36	CD
cord-328957-mzi8504f	44	18	resulted	result	VBD
cord-328957-mzi8504f	44	19	in	in	IN
cord-328957-mzi8504f	44	20	poor	poor	JJ
cord-328957-mzi8504f	44	21	fitting	fitting	NN
cord-328957-mzi8504f	44	22	to	to	IN
cord-328957-mzi8504f	44	23	later	later	RB
cord-328957-mzi8504f	44	24	officially	officially	RB
cord-328957-mzi8504f	44	25	confirmed	confirm	VBD
cord-328957-mzi8504f	44	26	infected	infected	JJ
cord-328957-mzi8504f	44	27	cases	case	NNS
cord-328957-mzi8504f	44	28	[	[	-LRB-
cord-328957-mzi8504f	44	29	4	4	CD
cord-328957-mzi8504f	44	30	]	]	-RRB-
cord-328957-mzi8504f	44	31	.	.	.
cord-328957-mzi8504f	45	1	This	this	DT
cord-328957-mzi8504f	45	2	can	can	MD
cord-328957-mzi8504f	45	3	be	be	VB
cord-328957-mzi8504f	45	4	37	37	CD
cord-328957-mzi8504f	45	5	explained	explain	VBN
cord-328957-mzi8504f	45	6	by	by	IN
cord-328957-mzi8504f	45	7	the	the	DT
cord-328957-mzi8504f	45	8	fact	fact	NN
cord-328957-mzi8504f	45	9	that	that	IN
cord-328957-mzi8504f	45	10	the	the	DT
cord-328957-mzi8504f	45	11	SIR	SIR	NNP
cord-328957-mzi8504f	45	12	model	model	NN
cord-328957-mzi8504f	45	13	with	with	IN
cord-328957-mzi8504f	45	14	no	no	DT
cord-328957-mzi8504f	45	15	modification	modification	NN
cord-328957-mzi8504f	45	16	is	be	VBZ
cord-328957-mzi8504f	45	17	too	too	RB
cord-328957-mzi8504f	45	18	simplistic	simplistic	JJ
cord-328957-mzi8504f	45	19	to	to	IN
cord-328957-mzi8504f	45	20	38	38	CD
cord-328957-mzi8504f	45	21	correctly	correctly	RB
cord-328957-mzi8504f	45	22	represent	represent	VB
cord-328957-mzi8504f	45	23	the	the	DT
cord-328957-mzi8504f	45	24	dynamics	dynamic	NNS
cord-328957-mzi8504f	45	25	of	of	IN
cord-328957-mzi8504f	45	26	the	the	DT
cord-328957-mzi8504f	45	27	COVID-19	covid-19	JJ
cord-328957-mzi8504f	45	28	epidemic	epidemic	NN
cord-328957-mzi8504f	45	29	.	.	.
cord-328957-mzi8504f	46	1	In	in	IN
cord-328957-mzi8504f	46	2	[	[	-LRB-
cord-328957-mzi8504f	46	3	12	12	CD
cord-328957-mzi8504f	46	4	]	]	-RRB-
cord-328957-mzi8504f	46	5	,	,	,
cord-328957-mzi8504f	46	6	a	a	DT
cord-328957-mzi8504f	46	7	simple	simple	JJ
cord-328957-mzi8504f	46	8	calculation	calculation	NN
cord-328957-mzi8504f	46	9	39	39	CD
cord-328957-mzi8504f	46	10	method	method	NN
cord-328957-mzi8504f	46	11	was	be	VBD
cord-328957-mzi8504f	46	12	proposed	propose	VBN
cord-328957-mzi8504f	46	13	that	that	WDT
cord-328957-mzi8504f	46	14	allows	allow	VBZ
cord-328957-mzi8504f	46	15	quick	quick	JJ
cord-328957-mzi8504f	46	16	results	result	NNS
cord-328957-mzi8504f	46	17	which	which	WDT
cord-328957-mzi8504f	46	18	can	can	MD
cord-328957-mzi8504f	46	19	predict	predict	VB
cord-328957-mzi8504f	46	20	the	the	DT
cord-328957-mzi8504f	46	21	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	46	22	spread	spread	VBD
cord-328957-mzi8504f	46	23	40	40	CD
cord-328957-mzi8504f	46	24	with	with	IN
cord-328957-mzi8504f	46	25	a	a	DT
cord-328957-mzi8504f	46	26	fine	fine	JJ
cord-328957-mzi8504f	46	27	accuracy	accuracy	NN
cord-328957-mzi8504f	46	28	if	if	IN
cord-328957-mzi8504f	46	29	calculated	calculate	VBN
cord-328957-mzi8504f	46	30	using	use	VBG
cord-328957-mzi8504f	46	31	a	a	DT
cord-328957-mzi8504f	46	32	very	very	RB
cord-328957-mzi8504f	46	33	accurate	accurate	JJ
cord-328957-mzi8504f	46	34	data	datum	NNS
cord-328957-mzi8504f	46	35	of	of	IN
cord-328957-mzi8504f	46	36	infections	infection	NNS
cord-328957-mzi8504f	46	37	and	and	CC
cord-328957-mzi8504f	46	38	recoveries	recovery	NNS
cord-328957-mzi8504f	46	39	.	.	.
cord-328957-mzi8504f	47	1	41	41	CD
cord-328957-mzi8504f	47	2	Model	Model	NNP
cord-328957-mzi8504f	47	3	proposed	propose	VBN
cord-328957-mzi8504f	47	4	by	by	IN
cord-328957-mzi8504f	47	5	Tuite	Tuite	NNP
cord-328957-mzi8504f	47	6	et	et	NNP
cord-328957-mzi8504f	47	7	al	al	NNP
cord-328957-mzi8504f	47	8	.	.	.
cord-328957-mzi8504f	48	1	[	[	-LRB-
cord-328957-mzi8504f	48	2	11	11	CD
cord-328957-mzi8504f	48	3	]	]	-RRB-
cord-328957-mzi8504f	48	4	which	which	WDT
cord-328957-mzi8504f	48	5	used	use	VBD
cord-328957-mzi8504f	48	6	data	datum	NNS
cord-328957-mzi8504f	48	7	from	from	IN
cord-328957-mzi8504f	48	8	January	January	NNP
cord-328957-mzi8504f	48	9	25	25	CD
cord-328957-mzi8504f	48	10	to	to	IN
cord-328957-mzi8504f	48	11	March	March	NNP
cord-328957-mzi8504f	48	12	1	1	CD
cord-328957-mzi8504f	48	13	42	42	CD
cord-328957-mzi8504f	48	14	(	(	-LRB-
cord-328957-mzi8504f	48	15	2020	2020	CD
cord-328957-mzi8504f	48	16	)	)	-RRB-
cord-328957-mzi8504f	48	17	Ontario	Ontario	NNP
cord-328957-mzi8504f	48	18	,	,	,
cord-328957-mzi8504f	48	19	Canada	Canada	NNP
cord-328957-mzi8504f	48	20	,	,	,
cord-328957-mzi8504f	48	21	is	be	VBZ
cord-328957-mzi8504f	48	22	SEIR	SEIR	NNP
cord-328957-mzi8504f	49	1	(	(	-LRB-
cord-328957-mzi8504f	49	2	E	E	NNS
cord-328957-mzi8504f	49	3	-	-	JJ
cord-328957-mzi8504f	49	4	exposed	expose	VBN
cord-328957-mzi8504f	49	5	)	)	-RRB-
cord-328957-mzi8504f	49	6	model	model	NN
cord-328957-mzi8504f	49	7	,	,	,
cord-328957-mzi8504f	49	8	the	the	DT
cord-328957-mzi8504f	49	9	extension	extension	NN
cord-328957-mzi8504f	49	10	of	of	IN
cord-328957-mzi8504f	49	11	the	the	DT
cord-328957-mzi8504f	49	12	SIR	SIR	NNP
cord-328957-mzi8504f	49	13	model	model	NN
cord-328957-mzi8504f	49	14	.	.	.
cord-328957-mzi8504f	50	1	43	43	CD
cord-328957-mzi8504f	50	2	Authors	author	NNS
cord-328957-mzi8504f	50	3	of	of	IN
cord-328957-mzi8504f	50	4	[	[	-LRB-
cord-328957-mzi8504f	50	5	11	11	CD
cord-328957-mzi8504f	50	6	]	]	-RRB-
cord-328957-mzi8504f	50	7	took	take	VBD
cord-328957-mzi8504f	50	8	into	into	IN
cord-328957-mzi8504f	50	9	consideration	consideration	NN
cord-328957-mzi8504f	50	10	four	four	CD
cord-328957-mzi8504f	50	11	levels	level	NNS
cord-328957-mzi8504f	50	12	of	of	IN
cord-328957-mzi8504f	50	13	infection	infection	NN
cord-328957-mzi8504f	50	14	severity	severity	NN
cord-328957-mzi8504f	50	15	,	,	,
cord-328957-mzi8504f	50	16	social	social	JJ
cord-328957-mzi8504f	50	17	isolation	isolation	NN
cord-328957-mzi8504f	50	18	in	in	IN
cord-328957-mzi8504f	50	19	44	44	CD
cord-328957-mzi8504f	50	20	the	the	DT
cord-328957-mzi8504f	50	21	exposed	expose	VBN
cord-328957-mzi8504f	50	22	and	and	CC
cord-328957-mzi8504f	50	23	infected	infected	JJ
cord-328957-mzi8504f	50	24	states	state	NNS
cord-328957-mzi8504f	50	25	,	,	,
cord-328957-mzi8504f	50	26	hospitalization	hospitalization	NN
cord-328957-mzi8504f	50	27	dynamics	dynamic	NNS
cord-328957-mzi8504f	50	28	,	,	,
cord-328957-mzi8504f	50	29	and	and	CC
cord-328957-mzi8504f	50	30	death	death	NN
cord-328957-mzi8504f	50	31	state	state	NN
cord-328957-mzi8504f	50	32	.	.	.
cord-328957-mzi8504f	51	1	[	[	-LRB-
cord-328957-mzi8504f	51	2	11	11	CD
cord-328957-mzi8504f	51	3	]	]	-RRB-
cord-328957-mzi8504f	51	4	estimated	estimate	VBN
cord-328957-mzi8504f	51	5	45	45	CD
cord-328957-mzi8504f	51	6	that	that	IN
cord-328957-mzi8504f	51	7	56	56	CD
cord-328957-mzi8504f	51	8	%	%	NN
cord-328957-mzi8504f	51	9	of	of	IN
cord-328957-mzi8504f	51	10	the	the	DT
cord-328957-mzi8504f	51	11	Ontario	Ontario	NNP
cord-328957-mzi8504f	51	12	population	population	NN
cord-328957-mzi8504f	51	13	would	would	MD
cord-328957-mzi8504f	51	14	be	be	VB
cord-328957-mzi8504f	51	15	infected	infect	VBN
cord-328957-mzi8504f	51	16	over	over	IN
cord-328957-mzi8504f	51	17	the	the	DT
cord-328957-mzi8504f	51	18	course	course	NN
cord-328957-mzi8504f	51	19	of	of	IN
cord-328957-mzi8504f	51	20	the	the	DT
cord-328957-mzi8504f	51	21	epidemic	epidemic	NN
cord-328957-mzi8504f	51	22	46	46	CD
cord-328957-mzi8504f	51	23	with	with	IN
cord-328957-mzi8504f	51	24	a	a	DT
cord-328957-mzi8504f	51	25	peak	peak	NN
cord-328957-mzi8504f	51	26	of	of	IN
cord-328957-mzi8504f	51	27	55500	55500	CD
cord-328957-mzi8504f	51	28	cases	case	NNS
cord-328957-mzi8504f	51	29	in	in	IN
cord-328957-mzi8504f	51	30	intensive	intensive	JJ
cord-328957-mzi8504f	51	31	care	care	NN
cord-328957-mzi8504f	51	32	units	unit	NNS
cord-328957-mzi8504f	51	33	(	(	-LRB-
cord-328957-mzi8504f	51	34	ICU	ICU	NNP
cord-328957-mzi8504f	51	35	)	)	-RRB-
cord-328957-mzi8504f	51	36	and	and	CC
cord-328957-mzi8504f	51	37	107000	107000	CD
cord-328957-mzi8504f	51	38	total	total	JJ
cord-328957-mzi8504f	51	39	cases	case	NNS
cord-328957-mzi8504f	51	40	.	.	.
cord-328957-mzi8504f	52	1	At	at	IN
cord-328957-mzi8504f	52	2	the	the	DT
cord-328957-mzi8504f	52	3	47	47	CD
cord-328957-mzi8504f	52	4	same	same	JJ
cord-328957-mzi8504f	52	5	time	time	NN
cord-328957-mzi8504f	52	6	,	,	,
cord-328957-mzi8504f	52	7	in	in	IN
cord-328957-mzi8504f	52	8	all	all	DT
cord-328957-mzi8504f	52	9	of	of	IN
cord-328957-mzi8504f	52	10	Canada	Canada	NNP
cord-328957-mzi8504f	52	11	there	there	EX
cord-328957-mzi8504f	52	12	are	be	VBP
cord-328957-mzi8504f	52	13	only	only	RB
cord-328957-mzi8504f	52	14	half	half	NN
cord-328957-mzi8504f	52	15	of	of	IN
cord-328957-mzi8504f	52	16	this	this	DT
cord-328957-mzi8504f	52	17	number	number	NN
cord-328957-mzi8504f	52	18	of	of	IN
cord-328957-mzi8504f	52	19	infections	infection	NNS
cord-328957-mzi8504f	52	20	[	[	-LRB-
cord-328957-mzi8504f	52	21	4	4	CD
cord-328957-mzi8504f	52	22	]	]	-RRB-
cord-328957-mzi8504f	52	23	.	.	.
cord-328957-mzi8504f	53	1	This	this	DT
cord-328957-mzi8504f	53	2	48	48	CD
cord-328957-mzi8504f	53	3	error	error	NN
cord-328957-mzi8504f	53	4	in	in	IN
cord-328957-mzi8504f	53	5	their	-PRON-	PRP$
cord-328957-mzi8504f	53	6	prediction	prediction	NN
cord-328957-mzi8504f	53	7	is	be	VBZ
cord-328957-mzi8504f	53	8	associated	associate	VBN
cord-328957-mzi8504f	53	9	with	with	IN
cord-328957-mzi8504f	53	10	incomplete	incomplete	JJ
cord-328957-mzi8504f	53	11	information	information	NN
cord-328957-mzi8504f	53	12	due	due	IN
cord-328957-mzi8504f	53	13	to	to	IN
cord-328957-mzi8504f	53	14	lower	low	JJR
cord-328957-mzi8504f	53	15	frequency	frequency	NN
cord-328957-mzi8504f	53	16	49	49	CD
cord-328957-mzi8504f	53	17	of	of	IN
cord-328957-mzi8504f	53	18	tests	test	NNS
cord-328957-mzi8504f	53	19	and	and	CC
cord-328957-mzi8504f	53	20	inaccurate	inaccurate	JJ
cord-328957-mzi8504f	53	21	ICU	ICU	NNP
cord-328957-mzi8504f	53	22	records	record	NNS
cord-328957-mzi8504f	53	23	.	.	.
cord-328957-mzi8504f	54	1	Nevertheless	nevertheless	RB
cord-328957-mzi8504f	54	2	,	,	,
cord-328957-mzi8504f	54	3	Tuite	Tuite	NNP
cord-328957-mzi8504f	54	4	et	et	FW
cord-328957-mzi8504f	54	5	al	al	NNP
cord-328957-mzi8504f	54	6	's	's	POS
cord-328957-mzi8504f	54	7	[	[	-LRB-
cord-328957-mzi8504f	54	8	11	11	CD
cord-328957-mzi8504f	54	9	]	]	-RRB-
cord-328957-mzi8504f	54	10	model	model	NN
cord-328957-mzi8504f	54	11	presents	present	VBZ
cord-328957-mzi8504f	54	12	a	a	DT
cord-328957-mzi8504f	54	13	50	50	CD
cord-328957-mzi8504f	54	14	more	more	RBR
cord-328957-mzi8504f	54	15	detailed	detailed	JJ
cord-328957-mzi8504f	54	16	dynamic	dynamic	NN
cord-328957-mzi8504f	54	17	between	between	IN
cord-328957-mzi8504f	54	18	the	the	DT
cord-328957-mzi8504f	54	19	infected	infected	JJ
cord-328957-mzi8504f	54	20	population	population	NN
cord-328957-mzi8504f	54	21	and	and	CC
cord-328957-mzi8504f	54	22	the	the	DT
cord-328957-mzi8504f	54	23	healthcare	healthcare	NN
cord-328957-mzi8504f	54	24	response	response	NN
cord-328957-mzi8504f	54	25	51	51	CD
cord-328957-mzi8504f	54	26	which	which	WDT
cord-328957-mzi8504f	54	27	policy	policy	NN
cord-328957-mzi8504f	54	28	-	-	HYPH
cord-328957-mzi8504f	54	29	makers	maker	NNS
cord-328957-mzi8504f	54	30	can	can	MD
cord-328957-mzi8504f	54	31	take	take	VB
cord-328957-mzi8504f	54	32	into	into	IN
cord-328957-mzi8504f	54	33	consideration	consideration	NN
cord-328957-mzi8504f	54	34	.	.	.
cord-328957-mzi8504f	55	1	52	52	CD
cord-328957-mzi8504f	55	2	Ivorra	Ivorra	NNP
cord-328957-mzi8504f	55	3	et	et	NNP
cord-328957-mzi8504f	55	4	al	al	NNP
cord-328957-mzi8504f	55	5	.	.	.
cord-328957-mzi8504f	56	1	[	[	-LRB-
cord-328957-mzi8504f	56	2	13	13	CD
cord-328957-mzi8504f	56	3	]	]	-RRB-
cord-328957-mzi8504f	56	4	proposed	propose	VBD
cord-328957-mzi8504f	56	5	nine	nine	CD
cord-328957-mzi8504f	56	6	states	state	NNS
cord-328957-mzi8504f	56	7	model	model	NN
cord-328957-mzi8504f	56	8	divides	divide	VBZ
cord-328957-mzi8504f	56	9	individuals	individual	NNS
cord-328957-mzi8504f	56	10	into	into	IN
cord-328957-mzi8504f	56	11	isolated	isolate	VBN
cord-328957-mzi8504f	56	12	,	,	,
cord-328957-mzi8504f	56	13	hospi-53	hospi-53	NNP
cord-328957-mzi8504f	56	14	talized	talize	VBD
cord-328957-mzi8504f	56	15	,	,	,
cord-328957-mzi8504f	56	16	or	or	CC
cord-328957-mzi8504f	56	17	dead	dead	JJ
cord-328957-mzi8504f	56	18	.	.	.
cord-328957-mzi8504f	57	1	In	in	IN
cord-328957-mzi8504f	57	2	addition	addition	NN
cord-328957-mzi8504f	57	3	,	,	,
cord-328957-mzi8504f	57	4	authors	author	NNS
cord-328957-mzi8504f	57	5	of	of	IN
cord-328957-mzi8504f	57	6	[	[	-LRB-
cord-328957-mzi8504f	57	7	13	13	CD
cord-328957-mzi8504f	57	8	]	]	-RRB-
cord-328957-mzi8504f	57	9	take	take	VB
cord-328957-mzi8504f	57	10	into	into	IN
cord-328957-mzi8504f	57	11	consideration	consideration	NN
cord-328957-mzi8504f	57	12	the	the	DT
cord-328957-mzi8504f	57	13	fact	fact	NN
cord-328957-mzi8504f	57	14	that	that	IN
cord-328957-mzi8504f	57	15	the	the	DT
cord-328957-mzi8504f	57	16	54	54	CD
cord-328957-mzi8504f	57	17	recorded	record	VBN
cord-328957-mzi8504f	57	18	confirmed	confirm	VBN
cord-328957-mzi8504f	57	19	data	data	NN
cord-328957-mzi8504f	57	20	is	be	VBZ
cord-328957-mzi8504f	57	21	under	under	RB
cord-328957-mzi8504f	57	22	-	-	HYPH
cord-328957-mzi8504f	57	23	sampled	sample	VBN
cord-328957-mzi8504f	57	24	.	.	.
cord-328957-mzi8504f	58	1	55	55	CD
cord-328957-mzi8504f	59	1	Furthermore	furthermore	RB
cord-328957-mzi8504f	59	2	,	,	,
cord-328957-mzi8504f	59	3	a	a	DT
cord-328957-mzi8504f	59	4	machine	machine	NN
cord-328957-mzi8504f	59	5	learning	learn	VBG
cord-328957-mzi8504f	59	6	-	-	HYPH
cord-328957-mzi8504f	59	7	based	base	VBN
cord-328957-mzi8504f	59	8	model	model	NN
cord-328957-mzi8504f	59	9	was	be	VBD
cord-328957-mzi8504f	59	10	proposed	propose	VBN
cord-328957-mzi8504f	59	11	by	by	IN
cord-328957-mzi8504f	59	12	Allam	Allam	NNP
cord-328957-mzi8504f	59	13	et	et	FW
cord-328957-mzi8504f	59	14	al	al	NNP
cord-328957-mzi8504f	59	15	.	.	.
cord-328957-mzi8504f	60	1	[	[	-LRB-
cord-328957-mzi8504f	60	2	14	14	CD
cord-328957-mzi8504f	60	3	]	]	-RRB-
cord-328957-mzi8504f	60	4	using	use	VBG
cord-328957-mzi8504f	60	5	56	56	CD
cord-328957-mzi8504f	60	6	several	several	JJ
cord-328957-mzi8504f	60	7	machine	machine	NN
cord-328957-mzi8504f	60	8	learning	learn	VBG
cord-328957-mzi8504f	60	9	algorithms	algorithm	NNS
cord-328957-mzi8504f	60	10	(	(	-LRB-
cord-328957-mzi8504f	60	11	Knn	Knn	NNP
cord-328957-mzi8504f	60	12	,	,	,
cord-328957-mzi8504f	60	13	Random	Random	NNP
cord-328957-mzi8504f	60	14	Forest	Forest	NNP
cord-328957-mzi8504f	60	15	,	,	,
cord-328957-mzi8504f	60	16	Support	Support	NNP
cord-328957-mzi8504f	60	17	Vector	Vector	NNP
cord-328957-mzi8504f	60	18	Machine	Machine	NNP
cord-328957-mzi8504f	60	19	)	)	-RRB-
cord-328957-mzi8504f	60	20	on	on	IN
cord-328957-mzi8504f	60	21	57	57	CD
cord-328957-mzi8504f	60	22	data	datum	NNS
cord-328957-mzi8504f	60	23	of	of	IN
cord-328957-mzi8504f	60	24	53	53	CD
cord-328957-mzi8504f	60	25	clinical	clinical	JJ
cord-328957-mzi8504f	60	26	cases	case	NNS
cord-328957-mzi8504f	60	27	.	.	.
cord-328957-mzi8504f	61	1	This	this	DT
cord-328957-mzi8504f	61	2	model	model	NN
cord-328957-mzi8504f	61	3	was	be	VBD
cord-328957-mzi8504f	61	4	used	use	VBN
cord-328957-mzi8504f	61	5	to	to	TO
cord-328957-mzi8504f	61	6	predict	predict	VB
cord-328957-mzi8504f	61	7	infection	infection	NN
cord-328957-mzi8504f	61	8	severity	severity	NN
cord-328957-mzi8504f	61	9	and	and	CC
cord-328957-mzi8504f	61	10	spread	spread	NN
cord-328957-mzi8504f	61	11	.	.	.
cord-328957-mzi8504f	62	1	58	58	CD
cord-328957-mzi8504f	63	1	However	however	RB
cord-328957-mzi8504f	63	2	,	,	,
cord-328957-mzi8504f	63	3	this	this	DT
cord-328957-mzi8504f	63	4	approach	approach	NN
cord-328957-mzi8504f	63	5	suffers	suffer	VBZ
cord-328957-mzi8504f	63	6	from	from	IN
cord-328957-mzi8504f	63	7	an	an	DT
cord-328957-mzi8504f	63	8	imbalanced	imbalanced	JJ
cord-328957-mzi8504f	63	9	sample	sample	NN
cord-328957-mzi8504f	63	10	of	of	IN
cord-328957-mzi8504f	63	11	the	the	DT
cord-328957-mzi8504f	63	12	distribution	distribution	NN
cord-328957-mzi8504f	63	13	of	of	IN
cord-328957-mzi8504f	63	14	severity	severity	NN
cord-328957-mzi8504f	63	15	59	59	CD
cord-328957-mzi8504f	63	16	in	in	IN
cord-328957-mzi8504f	63	17	the	the	DT
cord-328957-mzi8504f	63	18	population	population	NN
cord-328957-mzi8504f	63	19	,	,	,
cord-328957-mzi8504f	63	20	as	as	IN
cord-328957-mzi8504f	63	21	simple	simple	JJ
cord-328957-mzi8504f	63	22	or	or	CC
cord-328957-mzi8504f	63	23	asymptomatic	asymptomatic	JJ
cord-328957-mzi8504f	63	24	cases	case	NNS
cord-328957-mzi8504f	63	25	are	be	VBP
cord-328957-mzi8504f	63	26	not	not	RB
cord-328957-mzi8504f	63	27	reported	report	VBN
cord-328957-mzi8504f	63	28	,	,	,
cord-328957-mzi8504f	63	29	leading	lead	VBG
cord-328957-mzi8504f	63	30	to	to	IN
cord-328957-mzi8504f	63	31	poor	poor	JJ
cord-328957-mzi8504f	63	32	60	60	CD
cord-328957-mzi8504f	63	33	representation	representation	NN
cord-328957-mzi8504f	63	34	of	of	IN
cord-328957-mzi8504f	63	35	the	the	DT
cord-328957-mzi8504f	63	36	real	real	JJ
cord-328957-mzi8504f	63	37	dynamic	dynamic	NN
cord-328957-mzi8504f	63	38	.	.	.
cord-328957-mzi8504f	64	1	61	61	CD
cord-328957-mzi8504f	65	1	Second	second	RB
cord-328957-mzi8504f	65	2	,	,	,
cord-328957-mzi8504f	65	3	models	model	NNS
cord-328957-mzi8504f	65	4	aim	aim	VBP
cord-328957-mzi8504f	65	5	to	to	TO
cord-328957-mzi8504f	65	6	analyze	analyze	VB
cord-328957-mzi8504f	65	7	and	and	CC
cord-328957-mzi8504f	65	8	optimize	optimize	VB
cord-328957-mzi8504f	65	9	NPI	NPI	NNP
cord-328957-mzi8504f	65	10	policies	policy	NNS
cord-328957-mzi8504f	65	11	.	.	.
cord-328957-mzi8504f	66	1	A	a	DT
cord-328957-mzi8504f	66	2	model	model	NN
cord-328957-mzi8504f	66	3	proposed	propose	VBN
cord-328957-mzi8504f	66	4	by	by	IN
cord-328957-mzi8504f	66	5	62	62	CD
cord-328957-mzi8504f	66	6	Zhao	Zhao	NNP
cord-328957-mzi8504f	66	7	et	et	NNP
cord-328957-mzi8504f	66	8	al	al	NNP
cord-328957-mzi8504f	66	9	.	.	.
cord-328957-mzi8504f	67	1	[	[	-LRB-
cord-328957-mzi8504f	67	2	15	15	CD
cord-328957-mzi8504f	67	3	]	]	-RRB-
cord-328957-mzi8504f	67	4	is	be	VBZ
cord-328957-mzi8504f	67	5	an	an	DT
cord-328957-mzi8504f	67	6	extension	extension	NN
cord-328957-mzi8504f	67	7	to	to	IN
cord-328957-mzi8504f	67	8	the	the	DT
cord-328957-mzi8504f	67	9	SEIR	SEIR	NNP
cord-328957-mzi8504f	67	10	model	model	NN
cord-328957-mzi8504f	67	11	where	where	WRB
cord-328957-mzi8504f	67	12	the	the	DT
cord-328957-mzi8504f	67	13	susceptible	susceptible	JJ
cord-328957-mzi8504f	67	14	population	population	NN
cord-328957-mzi8504f	67	15	63	63	CD
cord-328957-mzi8504f	67	16	is	be	VBZ
cord-328957-mzi8504f	67	17	separated	separate	VBN
cord-328957-mzi8504f	67	18	into	into	IN
cord-328957-mzi8504f	67	19	two	two	CD
cord-328957-mzi8504f	67	20	groups	group	NNS
cord-328957-mzi8504f	67	21	:	:	:
cord-328957-mzi8504f	67	22	individuals	individual	NNS
cord-328957-mzi8504f	67	23	not	not	RB
cord-328957-mzi8504f	67	24	taking	take	VBG
cord-328957-mzi8504f	67	25	infection	infection	NN
cord-328957-mzi8504f	67	26	-	-	HYPH
cord-328957-mzi8504f	67	27	prevention	prevention	NN
cord-328957-mzi8504f	67	28	actions	action	NNS
cord-328957-mzi8504f	67	29	and	and	CC
cord-328957-mzi8504f	67	30	64	64	CD
cord-328957-mzi8504f	67	31	people	people	NNS
cord-328957-mzi8504f	67	32	taking	take	VBG
cord-328957-mzi8504f	67	33	infection	infection	NN
cord-328957-mzi8504f	67	34	-	-	HYPH
cord-328957-mzi8504f	67	35	prevention	prevention	NN
cord-328957-mzi8504f	67	36	actions	action	NNS
cord-328957-mzi8504f	67	37	as	as	IN
cord-328957-mzi8504f	67	38	an	an	DT
cord-328957-mzi8504f	67	39	NPI	NPI	NNP
cord-328957-mzi8504f	67	40	policy	policy	NN
cord-328957-mzi8504f	67	41	.	.	.
cord-328957-mzi8504f	68	1	In	in	IN
cord-328957-mzi8504f	68	2	addition	addition	NN
cord-328957-mzi8504f	68	3	,	,	,
cord-328957-mzi8504f	68	4	authors	author	NNS
cord-328957-mzi8504f	68	5	of	of	IN
cord-328957-mzi8504f	68	6	[	[	-LRB-
cord-328957-mzi8504f	68	7	15	15	CD
cord-328957-mzi8504f	68	8	]	]	-RRB-
cord-328957-mzi8504f	68	9	65	65	CD
cord-328957-mzi8504f	68	10	included	include	VBD
cord-328957-mzi8504f	68	11	a	a	DT
cord-328957-mzi8504f	68	12	probability	probability	NN
cord-328957-mzi8504f	68	13	of	of	IN
cord-328957-mzi8504f	68	14	willingness	willingness	NN
cord-328957-mzi8504f	68	15	to	to	TO
cord-328957-mzi8504f	68	16	take	take	VB
cord-328957-mzi8504f	68	17	infection	infection	NN
cord-328957-mzi8504f	68	18	-	-	HYPH
cord-328957-mzi8504f	68	19	prevention	prevention	NN
cord-328957-mzi8504f	68	20	actions	action	NNS
cord-328957-mzi8504f	68	21	with	with	IN
cord-328957-mzi8504f	68	22	changes	change	NNS
cord-328957-mzi8504f	68	23	66	66	CD
cord-328957-mzi8504f	68	24	over	over	IN
cord-328957-mzi8504f	68	25	time	time	NN
cord-328957-mzi8504f	68	26	.	.	.
cord-328957-mzi8504f	69	1	They	-PRON-	PRP
cord-328957-mzi8504f	69	2	predicted	predict	VBD
cord-328957-mzi8504f	69	3	148.5	148.5	CD
cord-328957-mzi8504f	69	4	thousand	thousand	CD
cord-328957-mzi8504f	69	5	infections	infection	NNS
cord-328957-mzi8504f	69	6	by	by	IN
cord-328957-mzi8504f	69	7	the	the	DT
cord-328957-mzi8504f	69	8	end	end	NN
cord-328957-mzi8504f	69	9	of	of	IN
cord-328957-mzi8504f	69	10	May	May	NNP
cord-328957-mzi8504f	69	11	2020	2020	CD
cord-328957-mzi8504f	69	12	in	in	IN
cord-328957-mzi8504f	69	13	Wuhan	Wuhan	NNP
cord-328957-mzi8504f	69	14	67	67	CD
cord-328957-mzi8504f	69	15	alone	alone	RB
cord-328957-mzi8504f	69	16	while	while	IN
cord-328957-mzi8504f	69	17	in	in	IN
cord-328957-mzi8504f	69	18	all	all	DT
cord-328957-mzi8504f	69	19	of	of	IN
cord-328957-mzi8504f	69	20	China	China	NNP
cord-328957-mzi8504f	69	21	there	there	EX
cord-328957-mzi8504f	69	22	were	be	VBD
cord-328957-mzi8504f	69	23	84.5	84.5	CD
cord-328957-mzi8504f	69	24	thousand	thousand	CD
cord-328957-mzi8504f	69	25	infections	infection	NNS
cord-328957-mzi8504f	69	26	at	at	IN
cord-328957-mzi8504f	69	27	the	the	DT
cord-328957-mzi8504f	69	28	same	same	JJ
cord-328957-mzi8504f	69	29	time	time	NN
cord-328957-mzi8504f	69	30	[	[	-LRB-
cord-328957-mzi8504f	69	31	4	4	CD
cord-328957-mzi8504f	69	32	]	]	-RRB-
cord-328957-mzi8504f	69	33	.	.	.
cord-328957-mzi8504f	70	1	The	the	DT
cord-328957-mzi8504f	70	2	68	68	CD
cord-328957-mzi8504f	70	3	authors	author	NNS
cord-328957-mzi8504f	70	4	introduces	introduce	VBZ
cord-328957-mzi8504f	70	5	a	a	DT
cord-328957-mzi8504f	70	6	stochastic	stochastic	JJ
cord-328957-mzi8504f	70	7	element	element	NN
cord-328957-mzi8504f	70	8	to	to	IN
cord-328957-mzi8504f	70	9	the	the	DT
cord-328957-mzi8504f	70	10	SEIR	SEIR	NNP
cord-328957-mzi8504f	70	11	model	model	NN
cord-328957-mzi8504f	70	12	making	make	VBG
cord-328957-mzi8504f	70	13	it	-PRON-	PRP
cord-328957-mzi8504f	70	14	more	more	RBR
cord-328957-mzi8504f	70	15	robust	robust	JJ
cord-328957-mzi8504f	70	16	for	for	IN
cord-328957-mzi8504f	70	17	69	69	CD
cord-328957-mzi8504f	70	18	social	social	JJ
cord-328957-mzi8504f	70	19	changes	change	NNS
cord-328957-mzi8504f	70	20	happened	happen	VBD
cord-328957-mzi8504f	70	21	during	during	IN
cord-328957-mzi8504f	70	22	the	the	DT
cord-328957-mzi8504f	70	23	epidemic	epidemic	NN
cord-328957-mzi8504f	70	24	.	.	.
cord-328957-mzi8504f	71	1	70	70	CD
cord-328957-mzi8504f	72	1	Di	Di	NNP
cord-328957-mzi8504f	72	2	Domenico	Domenico	NNP
cord-328957-mzi8504f	72	3	et	et	NNP
cord-328957-mzi8504f	72	4	al	al	NNP
cord-328957-mzi8504f	72	5	.	.	.
cord-328957-mzi8504f	73	1	[	[	-LRB-
cord-328957-mzi8504f	73	2	16	16	CD
cord-328957-mzi8504f	73	3	]	]	-RRB-
cord-328957-mzi8504f	73	4	used	use	VBN
cord-328957-mzi8504f	73	5	data	datum	NNS
cord-328957-mzi8504f	73	6	from	from	IN
cord-328957-mzi8504f	73	7	March	March	NNP
cord-328957-mzi8504f	73	8	17	17	CD
cord-328957-mzi8504f	73	9	to	to	IN
cord-328957-mzi8504f	73	10	May	May	NNP
cord-328957-mzi8504f	73	11	11	11	CD
cord-328957-mzi8504f	74	1	(	(	-LRB-
cord-328957-mzi8504f	74	2	2020)Île	2020)île	CD
cord-328957-mzi8504f	74	3	-	-	HYPH
cord-328957-mzi8504f	74	4	de	de	NNP
cord-328957-mzi8504f	74	5	-	-	HYPH
cord-328957-mzi8504f	74	6	France	France	NNP
cord-328957-mzi8504f	74	7	with	with	IN
cord-328957-mzi8504f	74	8	71	71	CD
cord-328957-mzi8504f	74	9	a	a	DT
cord-328957-mzi8504f	74	10	stochastic	stochastic	JJ
cord-328957-mzi8504f	74	11	age	age	NN
cord-328957-mzi8504f	74	12	-	-	HYPH
cord-328957-mzi8504f	74	13	structured	structure	VBN
cord-328957-mzi8504f	74	14	transmission	transmission	NN
cord-328957-mzi8504f	74	15	extension	extension	NN
cord-328957-mzi8504f	74	16	of	of	IN
cord-328957-mzi8504f	74	17	the	the	DT
cord-328957-mzi8504f	74	18	SEIR	SEIR	NNP
cord-328957-mzi8504f	74	19	model	model	NN
cord-328957-mzi8504f	74	20	integrating	integrate	VBG
cord-328957-mzi8504f	74	21	data	datum	NNS
cord-328957-mzi8504f	74	22	72	72	CD
cord-328957-mzi8504f	74	23	on	on	IN
cord-328957-mzi8504f	74	24	age	age	NN
cord-328957-mzi8504f	74	25	profile	profile	NN
cord-328957-mzi8504f	74	26	and	and	CC
cord-328957-mzi8504f	74	27	social	social	JJ
cord-328957-mzi8504f	74	28	contacts	contact	NNS
cord-328957-mzi8504f	74	29	of	of	IN
cord-328957-mzi8504f	74	30	four	four	CD
cord-328957-mzi8504f	74	31	age	age	NN
cord-328957-mzi8504f	74	32	-	-	HYPH
cord-328957-mzi8504f	74	33	based	base	VBN
cord-328957-mzi8504f	74	34	classes	class	NNS
cord-328957-mzi8504f	74	35	.	.	.
cord-328957-mzi8504f	75	1	In	in	IN
cord-328957-mzi8504f	75	2	this	this	DT
cord-328957-mzi8504f	75	3	model	model	NN
cord-328957-mzi8504f	75	4	,	,	,
cord-328957-mzi8504f	75	5	hospitalization	hospitalization	NN
cord-328957-mzi8504f	75	6	73	73	CD
cord-328957-mzi8504f	75	7	dynamics	dynamic	NNS
cord-328957-mzi8504f	75	8	with	with	IN
cord-328957-mzi8504f	75	9	ICU	ICU	NNP
cord-328957-mzi8504f	75	10	cases	case	NNS
cord-328957-mzi8504f	75	11	are	be	VBP
cord-328957-mzi8504f	75	12	taken	take	VBN
cord-328957-mzi8504f	75	13	into	into	IN
cord-328957-mzi8504f	75	14	consideration	consideration	NN
cord-328957-mzi8504f	75	15	in	in	IN
cord-328957-mzi8504f	75	16	the	the	DT
cord-328957-mzi8504f	75	17	model	model	NN
cord-328957-mzi8504f	75	18	.	.	.
cord-328957-mzi8504f	76	1	Model	model	NN
cord-328957-mzi8504f	76	2	shows	show	VBZ
cord-328957-mzi8504f	76	3	that	that	IN
cord-328957-mzi8504f	76	4	74	74	CD
cord-328957-mzi8504f	76	5	during	during	IN
cord-328957-mzi8504f	76	6	full	full	JJ
cord-328957-mzi8504f	76	7	lockdown	lockdown	NN
cord-328957-mzi8504f	76	8	the	the	DT
cord-328957-mzi8504f	76	9	reproductive	reproductive	JJ
cord-328957-mzi8504f	76	10	number	number	NN
cord-328957-mzi8504f	76	11	is	be	VBZ
cord-328957-mzi8504f	76	12	estimated	estimate	VBN
cord-328957-mzi8504f	76	13	to	to	TO
cord-328957-mzi8504f	76	14	be	be	VB
cord-328957-mzi8504f	76	15	0.68	0.68	CD
cord-328957-mzi8504f	76	16	,	,	,
cord-328957-mzi8504f	76	17	due	due	IN
cord-328957-mzi8504f	76	18	to	to	IN
cord-328957-mzi8504f	76	19	an	an	DT
cord-328957-mzi8504f	76	20	81	81	CD
cord-328957-mzi8504f	76	21	%	%	NN
cord-328957-mzi8504f	76	22	75	75	CD
cord-328957-mzi8504f	76	23	reduction	reduction	NN
cord-328957-mzi8504f	76	24	of	of	IN
cord-328957-mzi8504f	76	25	the	the	DT
cord-328957-mzi8504f	76	26	average	average	JJ
cord-328957-mzi8504f	76	27	number	number	NN
cord-328957-mzi8504f	76	28	of	of	IN
cord-328957-mzi8504f	76	29	contacts	contact	NNS
cord-328957-mzi8504f	76	30	.	.	.
cord-328957-mzi8504f	77	1	These	these	DT
cord-328957-mzi8504f	77	2	results	result	NNS
cord-328957-mzi8504f	77	3	show	show	VBP
cord-328957-mzi8504f	77	4	that	that	IN
cord-328957-mzi8504f	77	5	dividing	divide	VBG
cord-328957-mzi8504f	77	6	the	the	DT
cord-328957-mzi8504f	77	7	76	76	CD
cord-328957-mzi8504f	77	8	population	population	NN
cord-328957-mzi8504f	77	9	into	into	IN
cord-328957-mzi8504f	77	10	several	several	JJ
cord-328957-mzi8504f	77	11	age	age	NN
cord-328957-mzi8504f	77	12	-	-	HYPH
cord-328957-mzi8504f	77	13	based	base	VBN
cord-328957-mzi8504f	77	14	classes	class	NNS
cord-328957-mzi8504f	77	15	better	well	RBR
cord-328957-mzi8504f	77	16	represent	represent	VBP
cord-328957-mzi8504f	77	17	the	the	DT
cord-328957-mzi8504f	77	18	spread	spread	NN
cord-328957-mzi8504f	77	19	of	of	IN
cord-328957-mzi8504f	77	20	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	77	21	from	from	IN
cord-328957-mzi8504f	77	22	77	77	CD
cord-328957-mzi8504f	77	23	an	an	DT
cord-328957-mzi8504f	77	24	epidemiological	epidemiological	JJ
cord-328957-mzi8504f	77	25	perspective	perspective	NN
cord-328957-mzi8504f	77	26	[	[	-LRB-
cord-328957-mzi8504f	77	27	17	17	CD
cord-328957-mzi8504f	77	28	,	,	,
cord-328957-mzi8504f	77	29	18	18	CD
cord-328957-mzi8504f	77	30	]	]	-RRB-
cord-328957-mzi8504f	77	31	.	.	.
cord-328957-mzi8504f	78	1	In	in	IN
cord-328957-mzi8504f	78	2	this	this	DT
cord-328957-mzi8504f	78	3	paper	paper	NN
cord-328957-mzi8504f	78	4	,	,	,
cord-328957-mzi8504f	78	5	we	-PRON-	PRP
cord-328957-mzi8504f	78	6	provide	provide	VBP
cord-328957-mzi8504f	78	7	and	and	CC
cord-328957-mzi8504f	78	8	study	study	VBP
cord-328957-mzi8504f	78	9	a	a	DT
cord-328957-mzi8504f	78	10	more	more	RBR
cord-328957-mzi8504f	78	11	accurate	accurate	JJ
cord-328957-mzi8504f	78	12	spatio	spatio	JJ
cord-328957-mzi8504f	78	13	-	-	HYPH
cord-328957-mzi8504f	78	14	temporal	temporal	JJ
cord-328957-mzi8504f	78	15	model	model	NN
cord-328957-mzi8504f	78	16	for	for	IN
cord-328957-mzi8504f	78	17	79	79	CD
cord-328957-mzi8504f	78	18	the	the	DT
cord-328957-mzi8504f	78	19	COVID-19	covid-19	JJ
cord-328957-mzi8504f	78	20	transmission	transmission	NN
cord-328957-mzi8504f	78	21	by	by	IN
cord-328957-mzi8504f	78	22	using	use	VBG
cord-328957-mzi8504f	78	23	individual	individual	JJ
cord-328957-mzi8504f	78	24	two	two	CD
cord-328957-mzi8504f	78	25	age	age	NN
cord-328957-mzi8504f	78	26	classes	class	NNS
cord-328957-mzi8504f	79	1	SIRD	SIRD	NNP
cord-328957-mzi8504f	79	2	named	name	VBD
cord-328957-mzi8504f	79	3	hybrid	hybrid	NN
cord-328957-mzi8504f	79	4	80	80	CD
cord-328957-mzi8504f	79	5	model	model	NN
cord-328957-mzi8504f	79	6	(	(	-LRB-
cord-328957-mzi8504f	79	7	D	d	NN
cord-328957-mzi8504f	79	8	-	-	HYPH
cord-328957-mzi8504f	79	9	death	death	NN
cord-328957-mzi8504f	79	10	)	)	-RRB-
cord-328957-mzi8504f	79	11	model	model	NN
cord-328957-mzi8504f	79	12	.	.	.
cord-328957-mzi8504f	80	1	We	-PRON-	PRP
cord-328957-mzi8504f	80	2	study	study	VBP
cord-328957-mzi8504f	80	3	two	two	CD
cord-328957-mzi8504f	80	4	important	important	JJ
cord-328957-mzi8504f	80	5	factors	factor	NNS
cord-328957-mzi8504f	80	6	concerning	concern	VBG
cord-328957-mzi8504f	80	7	the	the	DT
cord-328957-mzi8504f	80	8	diffusion	diffusion	NN
cord-328957-mzi8504f	80	9	of	of	IN
cord-328957-mzi8504f	80	10	81	81	CD
cord-328957-mzi8504f	80	11	COVID-19	covid-19	CD
cord-328957-mzi8504f	80	12	:	:	:
cord-328957-mzi8504f	80	13	schooling	schooling	NN
cord-328957-mzi8504f	80	14	/	/	SYM
cord-328957-mzi8504f	80	15	working	work	VBG
cord-328957-mzi8504f	80	16	hours	hour	NNS
cord-328957-mzi8504f	80	17	and	and	CC
cord-328957-mzi8504f	81	1	physical	physical	JJ
cord-328957-mzi8504f	81	2	location	location	NN
cord-328957-mzi8504f	81	3	of	of	IN
cord-328957-mzi8504f	81	4	infected	infected	JJ
cord-328957-mzi8504f	81	5	population	population	NN
cord-328957-mzi8504f	81	6	has	have	VBZ
cord-328957-mzi8504f	81	7	82	82	CD
cord-328957-mzi8504f	81	8	provided	provide	VBN
cord-328957-mzi8504f	81	9	new	new	JJ
cord-328957-mzi8504f	81	10	insights	insight	NNS
cord-328957-mzi8504f	81	11	into	into	IN
cord-328957-mzi8504f	81	12	the	the	DT
cord-328957-mzi8504f	81	13	epidemic	epidemic	NN
cord-328957-mzi8504f	81	14	dynamics	dynamic	NNS
cord-328957-mzi8504f	81	15	.	.	.
cord-328957-mzi8504f	82	1	Based	base	VBN
cord-328957-mzi8504f	82	2	on	on	IN
cord-328957-mzi8504f	82	3	the	the	DT
cord-328957-mzi8504f	82	4	different	different	JJ
cord-328957-mzi8504f	82	5	impact	impact	NN
cord-328957-mzi8504f	82	6	of	of	IN
cord-328957-mzi8504f	82	7	83	83	CD
cord-328957-mzi8504f	82	8	COVID-19	covid-19	CD
cord-328957-mzi8504f	82	9	to	to	IN
cord-328957-mzi8504f	82	10	the	the	DT
cord-328957-mzi8504f	82	11	immune	immune	JJ
cord-328957-mzi8504f	82	12	response	response	NN
cord-328957-mzi8504f	82	13	,	,	,
cord-328957-mzi8504f	82	14	severity	severity	NN
cord-328957-mzi8504f	82	15	of	of	IN
cord-328957-mzi8504f	82	16	infection	infection	NN
cord-328957-mzi8504f	82	17	and	and	CC
cord-328957-mzi8504f	82	18	transmission	transmission	NN
cord-328957-mzi8504f	82	19	disease	disease	NN
cord-328957-mzi8504f	82	20	in	in	IN
cord-328957-mzi8504f	82	21	84	84	CD
cord-328957-mzi8504f	82	22	different	different	JJ
cord-328957-mzi8504f	82	23	age	age	NN
cord-328957-mzi8504f	82	24	groups	group	NNS
cord-328957-mzi8504f	82	25	(	(	-LRB-
cord-328957-mzi8504f	82	26	mainly	mainly	RB
cord-328957-mzi8504f	82	27	children	child	NNS
cord-328957-mzi8504f	82	28	and	and	CC
cord-328957-mzi8504f	82	29	adults	adult	NNS
cord-328957-mzi8504f	82	30	)	)	-RRB-
cord-328957-mzi8504f	82	31	[	[	-LRB-
cord-328957-mzi8504f	82	32	17	17	CD
cord-328957-mzi8504f	82	33	,	,	,
cord-328957-mzi8504f	82	34	19	19	CD
cord-328957-mzi8504f	82	35	]	]	-RRB-
cord-328957-mzi8504f	82	36	,	,	,
cord-328957-mzi8504f	82	37	we	-PRON-	PRP
cord-328957-mzi8504f	82	38	proposed	propose	VBD
cord-328957-mzi8504f	82	39	a	a	DT
cord-328957-mzi8504f	82	40	two	two	CD
cord-328957-mzi8504f	82	41	classes	class	NNS
cord-328957-mzi8504f	82	42	85	85	CD
cord-328957-mzi8504f	82	43	age	age	NN
cord-328957-mzi8504f	82	44	-	-	HYPH
cord-328957-mzi8504f	82	45	structured	structure	VBN
cord-328957-mzi8504f	82	46	SIRD	SIRD	NNP
cord-328957-mzi8504f	82	47	epidemic	epidemic	NN
cord-328957-mzi8504f	82	48	model	model	NN
cord-328957-mzi8504f	82	49	dividing	divide	VBG
cord-328957-mzi8504f	82	50	the	the	DT
cord-328957-mzi8504f	82	51	population	population	NN
cord-328957-mzi8504f	82	52	into	into	IN
cord-328957-mzi8504f	82	53	children	child	NNS
cord-328957-mzi8504f	82	54	and	and	CC
cord-328957-mzi8504f	82	55	adults	adult	NNS
cord-328957-mzi8504f	82	56	.	.	.
cord-328957-mzi8504f	83	1	86	86	CD
cord-328957-mzi8504f	84	1	Moreover	moreover	RB
cord-328957-mzi8504f	84	2	,	,	,
cord-328957-mzi8504f	84	3	we	-PRON-	PRP
cord-328957-mzi8504f	84	4	developed	develop	VBD
cord-328957-mzi8504f	84	5	a	a	DT
cord-328957-mzi8504f	84	6	numerical	numerical	JJ
cord-328957-mzi8504f	84	7	,	,	,
cord-328957-mzi8504f	84	8	stochastic	stochastic	JJ
cord-328957-mzi8504f	84	9	simulator	simulator	NN
cord-328957-mzi8504f	84	10	based	base	VBN
cord-328957-mzi8504f	84	11	on	on	IN
cord-328957-mzi8504f	84	12	this	this	DT
cord-328957-mzi8504f	84	13	hybrid	hybrid	JJ
cord-328957-mzi8504f	84	14	model	model	NN
cord-328957-mzi8504f	84	15	87	87	CD
cord-328957-mzi8504f	84	16	(	(	-LRB-
cord-328957-mzi8504f	84	17	https://teddylazebnik.info/coronavirus-sir-simulation/index.html	https://teddylazebnik.info/coronavirus-sir-simulation/index.html	NNP
cord-328957-mzi8504f	84	18	)	)	-RRB-
cord-328957-mzi8504f	84	19	for	for	IN
cord-328957-mzi8504f	84	20	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	84	21	popu-88	popu-88	NNP
cord-328957-mzi8504f	84	22	lation	lation	NN
cord-328957-mzi8504f	84	23	spread	spread	VBD
cord-328957-mzi8504f	84	24	in	in	IN
cord-328957-mzi8504f	84	25	addition	addition	NN
cord-328957-mzi8504f	84	26	to	to	IN
cord-328957-mzi8504f	84	27	the	the	DT
cord-328957-mzi8504f	84	28	analytical	analytical	JJ
cord-328957-mzi8504f	84	29	examination	examination	NN
cord-328957-mzi8504f	84	30	of	of	IN
cord-328957-mzi8504f	84	31	the	the	DT
cord-328957-mzi8504f	84	32	epidemic	epidemic	NN
cord-328957-mzi8504f	84	33	dynamics	dynamic	NNS
cord-328957-mzi8504f	84	34	.	.	.
cord-328957-mzi8504f	85	1	This	this	DT
cord-328957-mzi8504f	85	2	paper	paper	NN
cord-328957-mzi8504f	85	3	is	be	VBZ
cord-328957-mzi8504f	85	4	organized	organize	VBN
cord-328957-mzi8504f	85	5	as	as	IN
cord-328957-mzi8504f	85	6	follows	follow	VBZ
cord-328957-mzi8504f	85	7	:	:	:
cord-328957-mzi8504f	86	1	First	first	RB
cord-328957-mzi8504f	86	2	,	,	,
cord-328957-mzi8504f	86	3	we	-PRON-	PRP
cord-328957-mzi8504f	86	4	introduce	introduce	VBP
cord-328957-mzi8504f	86	5	our	-PRON-	PRP$
cord-328957-mzi8504f	86	6	mathematical	mathematical	JJ
cord-328957-mzi8504f	86	7	hybrid	hybrid	NN
cord-328957-mzi8504f	86	8	90	90	CD
cord-328957-mzi8504f	86	9	model	model	NN
cord-328957-mzi8504f	86	10	based	base	VBN
cord-328957-mzi8504f	86	11	on	on	IN
cord-328957-mzi8504f	86	12	the	the	DT
cord-328957-mzi8504f	86	13	SIRD	SIRD	NNP
cord-328957-mzi8504f	86	14	model	model	NN
cord-328957-mzi8504f	86	15	with	with	IN
cord-328957-mzi8504f	86	16	dual	dual	JJ
cord-328957-mzi8504f	86	17	age	age	NN
cord-328957-mzi8504f	86	18	-	-	HYPH
cord-328957-mzi8504f	86	19	structured	structure	VBN
cord-328957-mzi8504f	86	20	.	.	.
cord-328957-mzi8504f	87	1	Second	second	RB
cord-328957-mzi8504f	87	2	,	,	,
cord-328957-mzi8504f	87	3	we	-PRON-	PRP
cord-328957-mzi8504f	87	4	present	present	VBP
cord-328957-mzi8504f	87	5	the	the	DT
cord-328957-mzi8504f	87	6	91	91	CD
cord-328957-mzi8504f	87	7	model	model	NN
cord-328957-mzi8504f	87	8	's	's	POS
cord-328957-mzi8504f	87	9	equilibria	equilibrium	NNS
cord-328957-mzi8504f	87	10	,	,	,
cord-328957-mzi8504f	87	11	stability	stability	NN
cord-328957-mzi8504f	87	12	analysis	analysis	NN
cord-328957-mzi8504f	87	13	,	,	,
cord-328957-mzi8504f	87	14	and	and	CC
cord-328957-mzi8504f	87	15	asymptotic	asymptotic	JJ
cord-328957-mzi8504f	87	16	form	form	NN
cord-328957-mzi8504f	87	17	.	.	.
cord-328957-mzi8504f	88	1	Third	third	RB
cord-328957-mzi8504f	88	2	,	,	,
cord-328957-mzi8504f	88	3	we	-PRON-	PRP
cord-328957-mzi8504f	88	4	present	present	VBP
cord-328957-mzi8504f	88	5	the	the	DT
cord-328957-mzi8504f	88	6	spatial	spatial	JJ
cord-328957-mzi8504f	88	7	92	92	CD
cord-328957-mzi8504f	88	8	model	model	NN
cord-328957-mzi8504f	88	9	extending	extend	VBG
cord-328957-mzi8504f	88	10	the	the	DT
cord-328957-mzi8504f	88	11	SIRD	SIRD	NNP
cord-328957-mzi8504f	88	12	model	model	NN
cord-328957-mzi8504f	88	13	by	by	IN
cord-328957-mzi8504f	88	14	introducing	introduce	VBG
cord-328957-mzi8504f	88	15	a	a	DT
cord-328957-mzi8504f	88	16	day	day	NN
cord-328957-mzi8504f	88	17	-	-	HYPH
cord-328957-mzi8504f	88	18	night	night	NN
cord-328957-mzi8504f	88	19	circle	circle	NN
cord-328957-mzi8504f	88	20	and	and	CC
cord-328957-mzi8504f	88	21	three	three	CD
cord-328957-mzi8504f	88	22	locations	location	NNS
cord-328957-mzi8504f	88	23	of	of	IN
cord-328957-mzi8504f	88	24	93	93	CD
cord-328957-mzi8504f	88	25	disease	disease	NN
cord-328957-mzi8504f	88	26	transmission	transmission	NN
cord-328957-mzi8504f	88	27	(	(	-LRB-
cord-328957-mzi8504f	88	28	home	home	NN
cord-328957-mzi8504f	88	29	,	,	,
cord-328957-mzi8504f	88	30	work	work	NN
cord-328957-mzi8504f	88	31	,	,	,
cord-328957-mzi8504f	88	32	school	school	NN
cord-328957-mzi8504f	88	33	)	)	-RRB-
cord-328957-mzi8504f	88	34	.	.	.
cord-328957-mzi8504f	89	1	Fourth	fourth	RB
cord-328957-mzi8504f	89	2	,	,	,
cord-328957-mzi8504f	89	3	an	an	DT
cord-328957-mzi8504f	89	4	analysis	analysis	NN
cord-328957-mzi8504f	89	5	of	of	IN
cord-328957-mzi8504f	89	6	NPI	npi	NN
cord-328957-mzi8504f	89	7	policies	policy	NNS
cord-328957-mzi8504f	89	8	including	include	VBG
cord-328957-mzi8504f	89	9	94	94	CD
cord-328957-mzi8504f	89	10	optimal	optimal	JJ
cord-328957-mzi8504f	89	11	lockdown	lockdown	NN
cord-328957-mzi8504f	89	12	,	,	,
cord-328957-mzi8504f	89	13	optimal	optimal	JJ
cord-328957-mzi8504f	89	14	work	work	NN
cord-328957-mzi8504f	89	15	-	-	HYPH
cord-328957-mzi8504f	89	16	school	school	NN
cord-328957-mzi8504f	89	17	duration	duration	NN
cord-328957-mzi8504f	89	18	is	be	VBZ
cord-328957-mzi8504f	89	19	presented	present	VBN
cord-328957-mzi8504f	89	20	,	,	,
cord-328957-mzi8504f	89	21	and	and	CC
cord-328957-mzi8504f	89	22	a	a	DT
cord-328957-mzi8504f	89	23	comparison	comparison	NN
cord-328957-mzi8504f	89	24	to	to	IN
cord-328957-mzi8504f	89	25	95	95	CD
cord-328957-mzi8504f	89	26	the	the	DT
cord-328957-mzi8504f	89	27	Israeli	israeli	JJ
cord-328957-mzi8504f	89	28	historical	historical	JJ
cord-328957-mzi8504f	89	29	data	datum	NNS
cord-328957-mzi8504f	89	30	from	from	IN
cord-328957-mzi8504f	89	31	August	August	NNP
cord-328957-mzi8504f	89	32	and	and	CC
cord-328957-mzi8504f	89	33	September	September	NNP
cord-328957-mzi8504f	89	34	.	.	.
cord-328957-mzi8504f	90	1	Finally	finally	RB
cord-328957-mzi8504f	90	2	,	,	,
cord-328957-mzi8504f	90	3	we	-PRON-	PRP
cord-328957-mzi8504f	90	4	discuss	discuss	VBP
cord-328957-mzi8504f	90	5	the	the	DT
cord-328957-mzi8504f	90	6	main	main	JJ
cord-328957-mzi8504f	90	7	96	96	CD
cord-328957-mzi8504f	90	8	epidemiological	epidemiological	JJ
cord-328957-mzi8504f	90	9	results	result	NNS
cord-328957-mzi8504f	90	10	arising	arise	VBG
cord-328957-mzi8504f	90	11	from	from	IN
cord-328957-mzi8504f	90	12	the	the	DT
cord-328957-mzi8504f	90	13	model	model	NN
cord-328957-mzi8504f	90	14	.	.	.
cord-328957-mzi8504f	91	1	Hybrid	hybrid	JJ
cord-328957-mzi8504f	91	2	model	model	NN
cord-328957-mzi8504f	91	3	98	98	CD
cord-328957-mzi8504f	92	1	As	as	IN
cord-328957-mzi8504f	92	2	shown	show	VBN
cord-328957-mzi8504f	92	3	in	in	IN
cord-328957-mzi8504f	92	4	[	[	-LRB-
cord-328957-mzi8504f	92	5	20	20	CD
cord-328957-mzi8504f	92	6	]	]	-RRB-
cord-328957-mzi8504f	92	7	and	and	CC
cord-328957-mzi8504f	92	8	[	[	-LRB-
cord-328957-mzi8504f	92	9	21	21	CD
cord-328957-mzi8504f	92	10	]	]	-RRB-
cord-328957-mzi8504f	92	11	,	,	,
cord-328957-mzi8504f	92	12	the	the	DT
cord-328957-mzi8504f	92	13	spatial	spatial	JJ
cord-328957-mzi8504f	92	14	model	model	NN
cord-328957-mzi8504f	92	15	plays	play	VBZ
cord-328957-mzi8504f	92	16	an	an	DT
cord-328957-mzi8504f	92	17	important	important	JJ
cord-328957-mzi8504f	92	18	role	role	NN
cord-328957-mzi8504f	92	19	in	in	IN
cord-328957-mzi8504f	92	20	describing	describe	VBG
cord-328957-mzi8504f	92	21	the	the	DT
cord-328957-mzi8504f	92	22	99	99	CD
cord-328957-mzi8504f	92	23	spreading	spreading	NN
cord-328957-mzi8504f	92	24	of	of	IN
cord-328957-mzi8504f	92	25	communicable	communicable	JJ
cord-328957-mzi8504f	92	26	diseases	disease	NNS
cord-328957-mzi8504f	92	27	,	,	,
cord-328957-mzi8504f	92	28	because	because	IN
cord-328957-mzi8504f	92	29	individuals	individual	NNS
cord-328957-mzi8504f	92	30	move	move	VBP
cord-328957-mzi8504f	92	31	around	around	RB
cord-328957-mzi8504f	92	32	inside	inside	IN
cord-328957-mzi8504f	92	33	a	a	DT
cord-328957-mzi8504f	92	34	zone	zone	NN
cord-328957-mzi8504f	92	35	or	or	CC
cord-328957-mzi8504f	92	36	100	100	CD
cord-328957-mzi8504f	92	37	habitat	habitat	NN
cord-328957-mzi8504f	92	38	in	in	IN
cord-328957-mzi8504f	92	39	time	time	NN
cord-328957-mzi8504f	92	40	.	.	.
cord-328957-mzi8504f	93	1	In	in	IN
cord-328957-mzi8504f	93	2	this	this	DT
cord-328957-mzi8504f	93	3	section	section	NN
cord-328957-mzi8504f	93	4	,	,	,
cord-328957-mzi8504f	93	5	we	-PRON-	PRP
cord-328957-mzi8504f	93	6	present	present	VBP
cord-328957-mzi8504f	93	7	a	a	DT
cord-328957-mzi8504f	93	8	hybrid	hybrid	JJ
cord-328957-mzi8504f	93	9	model	model	NN
cord-328957-mzi8504f	93	10	(	(	-LRB-
cord-328957-mzi8504f	93	11	Fig	Fig	NNP
cord-328957-mzi8504f	93	12	1	1	CD
cord-328957-mzi8504f	93	13	)	)	-RRB-
cord-328957-mzi8504f	93	14	that	that	WDT
cord-328957-mzi8504f	93	15	is	be	VBZ
cord-328957-mzi8504f	93	16	based	base	VBN
cord-328957-mzi8504f	93	17	on	on	IN
cord-328957-mzi8504f	93	18	a	a	DT
cord-328957-mzi8504f	93	19	SIRD	SIRD	NNP
cord-328957-mzi8504f	93	20	model	model	NN
cord-328957-mzi8504f	93	21	102	102	CD
cord-328957-mzi8504f	93	22	for	for	IN
cord-328957-mzi8504f	93	23	two	two	CD
cord-328957-mzi8504f	93	24	age	age	NN
cord-328957-mzi8504f	93	25	classes	class	NNS
cord-328957-mzi8504f	93	26	using	use	VBG
cord-328957-mzi8504f	93	27	eight	eight	CD
cord-328957-mzi8504f	93	28	populations	population	NNS
cord-328957-mzi8504f	93	29	(	(	-LRB-
cord-328957-mzi8504f	93	30	dynamics	dynamic	NNS
cord-328957-mzi8504f	93	31	are	be	VBP
cord-328957-mzi8504f	93	32	shown	show	VBN
cord-328957-mzi8504f	93	33	in	in	IN
cord-328957-mzi8504f	93	34	Fig	Fig	NNP
cord-328957-mzi8504f	93	35	2	2	CD
cord-328957-mzi8504f	93	36	)	)	-RRB-
cord-328957-mzi8504f	93	37	and	and	CC
cord-328957-mzi8504f	93	38	a	a	DT
cord-328957-mzi8504f	93	39	spatial	spatial	JJ
cord-328957-mzi8504f	93	40	103	103	CD
cord-328957-mzi8504f	93	41	model	model	NN
cord-328957-mzi8504f	93	42	where	where	WRB
cord-328957-mzi8504f	93	43	these	these	DT
cord-328957-mzi8504f	93	44	populations	population	NNS
cord-328957-mzi8504f	93	45	are	be	VBP
cord-328957-mzi8504f	93	46	distributed	distribute	VBN
cord-328957-mzi8504f	93	47	in	in	IN
cord-328957-mzi8504f	93	48	space	space	NN
cord-328957-mzi8504f	93	49	and	and	CC
cord-328957-mzi8504f	93	50	time	time	NN
cord-328957-mzi8504f	93	51	between	between	IN
cord-328957-mzi8504f	93	52	work	work	NN
cord-328957-mzi8504f	93	53	,	,	,
cord-328957-mzi8504f	93	54	school	school	NN
cord-328957-mzi8504f	93	55	104	104	CD
cord-328957-mzi8504f	93	56	and	and	CC
cord-328957-mzi8504f	93	57	home	home	NN
cord-328957-mzi8504f	93	58	(	(	-LRB-
cord-328957-mzi8504f	93	59	Fig	Fig	NNP
cord-328957-mzi8504f	93	60	5	5	CD
cord-328957-mzi8504f	93	61	)	)	-RRB-
cord-328957-mzi8504f	93	62	.	.	.
cord-328957-mzi8504f	94	1	We	-PRON-	PRP
cord-328957-mzi8504f	94	2	will	will	MD
cord-328957-mzi8504f	94	3	define	define	VB
cord-328957-mzi8504f	94	4	these	these	DT
cord-328957-mzi8504f	94	5	sub	sub	NN
cord-328957-mzi8504f	94	6	-	-	NNS
cord-328957-mzi8504f	94	7	models	model	NNS
cord-328957-mzi8504f	94	8	in	in	IN
cord-328957-mzi8504f	94	9	the	the	DT
cord-328957-mzi8504f	94	10	following	follow	VBG
cord-328957-mzi8504f	94	11	sections	section	NNS
cord-328957-mzi8504f	94	12	.	.	.
cord-328957-mzi8504f	95	1	Two	two	CD
cord-328957-mzi8504f	95	2	class	class	NN
cord-328957-mzi8504f	95	3	age	age	NN
cord-328957-mzi8504f	95	4	-	-	HYPH
cord-328957-mzi8504f	95	5	structured	structure	VBN
cord-328957-mzi8504f	95	6	epidemic	epidemic	NN
cord-328957-mzi8504f	95	7	model	model	NN
cord-328957-mzi8504f	95	8	106	106	CD
cord-328957-mzi8504f	96	1	The	the	DT
cord-328957-mzi8504f	96	2	SIR	SIR	NNP
cord-328957-mzi8504f	96	3	model	model	NN
cord-328957-mzi8504f	96	4	is	be	VBZ
cord-328957-mzi8504f	96	5	proven	prove	VBN
cord-328957-mzi8504f	96	6	to	to	TO
cord-328957-mzi8504f	96	7	be	be	VB
cord-328957-mzi8504f	96	8	a	a	DT
cord-328957-mzi8504f	96	9	meaningful	meaningful	JJ
cord-328957-mzi8504f	96	10	mathematical	mathematical	JJ
cord-328957-mzi8504f	96	11	tool	tool	NN
cord-328957-mzi8504f	96	12	for	for	IN
cord-328957-mzi8504f	96	13	epidemic	epidemic	NN
cord-328957-mzi8504f	96	14	analysis	analysis	NN
cord-328957-mzi8504f	96	15	[	[	-LRB-
cord-328957-mzi8504f	96	16	22	22	CD
cord-328957-mzi8504f	96	17	]	]	-RRB-
cord-328957-mzi8504f	96	18	.	.	.
cord-328957-mzi8504f	97	1	107	107	CD
cord-328957-mzi8504f	98	1	This	this	DT
cord-328957-mzi8504f	98	2	model	model	NN
cord-328957-mzi8504f	98	3	with	with	IN
cord-328957-mzi8504f	98	4	the	the	DT
cord-328957-mzi8504f	98	5	needed	need	VBN
cord-328957-mzi8504f	98	6	modifications	modification	NNS
cord-328957-mzi8504f	98	7	has	have	VBZ
cord-328957-mzi8504f	98	8	already	already	RB
cord-328957-mzi8504f	98	9	been	be	VBN
cord-328957-mzi8504f	98	10	shown	show	VBN
cord-328957-mzi8504f	98	11	to	to	TO
cord-328957-mzi8504f	98	12	predict	predict	VB
cord-328957-mzi8504f	98	13	the	the	DT
cord-328957-mzi8504f	98	14	epidemics	epidemic	NNS
cord-328957-mzi8504f	98	15	108	108	CD
cord-328957-mzi8504f	98	16	such	such	JJ
cord-328957-mzi8504f	98	17	as	as	IN
cord-328957-mzi8504f	98	18	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	98	19	[	[	-LRB-
cord-328957-mzi8504f	98	20	23	23	CD
cord-328957-mzi8504f	98	21	]	]	-RRB-
cord-328957-mzi8504f	98	22	,	,	,
cord-328957-mzi8504f	98	23	influenza	influenza	NN
cord-328957-mzi8504f	98	24	[	[	-LRB-
cord-328957-mzi8504f	98	25	24	24	CD
cord-328957-mzi8504f	98	26	]	]	-RRB-
cord-328957-mzi8504f	98	27	,	,	,
cord-328957-mzi8504f	98	28	Ebola	Ebola	NNP
cord-328957-mzi8504f	98	29	[	[	-LRB-
cord-328957-mzi8504f	98	30	10	10	CD
cord-328957-mzi8504f	98	31	]	]	-RRB-
cord-328957-mzi8504f	98	32	,	,	,
cord-328957-mzi8504f	98	33	and	and	CC
cord-328957-mzi8504f	98	34	others	other	NNS
cord-328957-mzi8504f	98	35	.	.	.
cord-328957-mzi8504f	99	1	dynamics	dynamic	NNS
cord-328957-mzi8504f	99	2	.	.	.
cord-328957-mzi8504f	100	1	An	an	DT
cord-328957-mzi8504f	100	2	extension	extension	NN
cord-328957-mzi8504f	100	3	of	of	IN
cord-328957-mzi8504f	100	4	the	the	DT
cord-328957-mzi8504f	100	5	SIR	SIR	NNP
cord-328957-mzi8504f	100	6	model	model	NN
cord-328957-mzi8504f	100	7	to	to	IN
cord-328957-mzi8504f	100	8	two	two	CD
cord-328957-mzi8504f	100	9	age	age	NN
cord-328957-mzi8504f	100	10	-	-	HYPH
cord-328957-mzi8504f	100	11	classes	class	NNS
cord-328957-mzi8504f	100	12	has	have	VBZ
cord-328957-mzi8504f	100	13	been	be	VBN
cord-328957-mzi8504f	100	14	investigated	investigate	VBN
cord-328957-mzi8504f	100	15	for	for	IN
cord-328957-mzi8504f	100	16	114	114	CD
cord-328957-mzi8504f	100	17	explanation	explanation	NN
cord-328957-mzi8504f	100	18	of	of	IN
cord-328957-mzi8504f	100	19	Polio	Polio	NNP
cord-328957-mzi8504f	100	20	outbreak	outbreak	NN
cord-328957-mzi8504f	100	21	by	by	IN
cord-328957-mzi8504f	100	22	Bunimovich	Bunimovich	NNP
cord-328957-mzi8504f	100	23	-	-	HYPH
cord-328957-mzi8504f	100	24	Mendrazitsky	Mendrazitsky	NNP
cord-328957-mzi8504f	100	25	and	and	CC
cord-328957-mzi8504f	100	26	Stone	Stone	NNP
cord-328957-mzi8504f	100	27	[	[	-LRB-
cord-328957-mzi8504f	100	28	25	25	CD
cord-328957-mzi8504f	100	29	]	]	-RRB-
cord-328957-mzi8504f	100	30	.	.	.
cord-328957-mzi8504f	101	1	Model	model	NN
cord-328957-mzi8504f	101	2	definition	definition	NN
cord-328957-mzi8504f	101	3	116	116	CD
cord-328957-mzi8504f	102	1	The	the	DT
cord-328957-mzi8504f	102	2	model	model	NN
cord-328957-mzi8504f	102	3	considers	consider	VBZ
cord-328957-mzi8504f	102	4	a	a	DT
cord-328957-mzi8504f	102	5	constant	constant	JJ
cord-328957-mzi8504f	102	6	population	population	NN
cord-328957-mzi8504f	102	7	with	with	IN
cord-328957-mzi8504f	102	8	a	a	DT
cord-328957-mzi8504f	102	9	fixed	fix	VBN
cord-328957-mzi8504f	102	10	number	number	NN
cord-328957-mzi8504f	102	11	of	of	IN
cord-328957-mzi8504f	102	12	individuals	individual	NNS
cord-328957-mzi8504f	102	13	N	n	CD
cord-328957-mzi8504f	102	14	.	.	.
cord-328957-mzi8504f	103	1	Each	each	DT
cord-328957-mzi8504f	103	2	117	117	CD
cord-328957-mzi8504f	103	3	individual	individual	NN
cord-328957-mzi8504f	103	4	belongs	belong	VBZ
cord-328957-mzi8504f	103	5	to	to	IN
cord-328957-mzi8504f	103	6	one	one	CD
cord-328957-mzi8504f	103	7	of	of	IN
cord-328957-mzi8504f	103	8	the	the	DT
cord-328957-mzi8504f	103	9	three	three	CD
cord-328957-mzi8504f	103	10	groups	group	NNS
cord-328957-mzi8504f	103	11	:	:	:
cord-328957-mzi8504f	103	12	susceptible	susceptible	JJ
cord-328957-mzi8504f	103	13	(	(	-LRB-
cord-328957-mzi8504f	103	14	S	S	NNP
cord-328957-mzi8504f	103	15	)	)	-RRB-
cord-328957-mzi8504f	103	16	,	,	,
cord-328957-mzi8504f	103	17	infected	infect	VBN
cord-328957-mzi8504f	103	18	(	(	-LRB-
cord-328957-mzi8504f	103	19	I	i	NN
cord-328957-mzi8504f	103	20	)	)	-RRB-
cord-328957-mzi8504f	103	21	,	,	,
cord-328957-mzi8504f	103	22	and	and	CC
cord-328957-mzi8504f	103	23	recovered	recover	VBD
cord-328957-mzi8504f	103	24	118	118	CD
cord-328957-mzi8504f	103	25	(	(	-LRB-
cord-328957-mzi8504f	103	26	R	r	NN
cord-328957-mzi8504f	103	27	)	)	-RRB-
cord-328957-mzi8504f	103	28	such	such	JJ
cord-328957-mzi8504f	103	29	that	that	DT
cord-328957-mzi8504f	104	1	N	n	NN
cord-328957-mzi8504f	104	2	=	=	SYM
cord-328957-mzi8504f	104	3	|S|	|s|	CD
cord-328957-mzi8504f	104	4	+	+	CC
cord-328957-mzi8504f	104	5	|I|	|i|	NN
cord-328957-mzi8504f	104	6	+	+	CC
cord-328957-mzi8504f	104	7	|R|	|R|	.
cord-328957-mzi8504f	104	8	.	.	.
cord-328957-mzi8504f	105	1	When	when	WRB
cord-328957-mzi8504f	105	2	an	an	DT
cord-328957-mzi8504f	105	3	individual	individual	NN
cord-328957-mzi8504f	105	4	in	in	IN
cord-328957-mzi8504f	105	5	the	the	DT
cord-328957-mzi8504f	105	6	susceptible	susceptible	JJ
cord-328957-mzi8504f	105	7	group	group	NN
cord-328957-mzi8504f	105	8	(	(	-LRB-
cord-328957-mzi8504f	105	9	S	S	NNP
cord-328957-mzi8504f	105	10	)	)	-RRB-
cord-328957-mzi8504f	105	11	119	119	CD
cord-328957-mzi8504f	105	12	exposed	expose	VBD
cord-328957-mzi8504f	105	13	to	to	IN
cord-328957-mzi8504f	105	14	the	the	DT
cord-328957-mzi8504f	105	15	infection	infection	NN
cord-328957-mzi8504f	105	16	,	,	,
cord-328957-mzi8504f	105	17	it	-PRON-	PRP
cord-328957-mzi8504f	105	18	is	be	VBZ
cord-328957-mzi8504f	105	19	transferred	transfer	VBN
cord-328957-mzi8504f	105	20	to	to	IN
cord-328957-mzi8504f	105	21	the	the	DT
cord-328957-mzi8504f	105	22	infected	infected	JJ
cord-328957-mzi8504f	105	23	group	group	NN
cord-328957-mzi8504f	105	24	(	(	-LRB-
cord-328957-mzi8504f	105	25	I	i	NN
cord-328957-mzi8504f	105	26	)	)	-RRB-
cord-328957-mzi8504f	105	27	.	.	.
cord-328957-mzi8504f	106	1	The	the	DT
cord-328957-mzi8504f	106	2	individual	individual	NN
cord-328957-mzi8504f	106	3	stays	stay	VBZ
cord-328957-mzi8504f	106	4	120	120	CD
cord-328957-mzi8504f	106	5	in	in	IN
cord-328957-mzi8504f	106	6	this	this	DT
cord-328957-mzi8504f	106	7	group	group	NN
cord-328957-mzi8504f	106	8	on	on	IN
cord-328957-mzi8504f	106	9	average	average	JJ
cord-328957-mzi8504f	106	10	d	d	NNP
cord-328957-mzi8504f	106	11	I→R	I→R	VBN
cord-328957-mzi8504f	106	12	days	day	NNS
cord-328957-mzi8504f	106	13	,	,	,
cord-328957-mzi8504f	106	14	after	after	IN
cord-328957-mzi8504f	106	15	which	which	WDT
cord-328957-mzi8504f	106	16	it	-PRON-	PRP
cord-328957-mzi8504f	106	17	is	be	VBZ
cord-328957-mzi8504f	106	18	transferred	transfer	VBN
cord-328957-mzi8504f	106	19	to	to	IN
cord-328957-mzi8504f	106	20	the	the	DT
cord-328957-mzi8504f	106	21	recovered	recovered	JJ
cord-328957-mzi8504f	106	22	group	group	NN
cord-328957-mzi8504f	106	23	121	121	CD
cord-328957-mzi8504f	106	24	(	(	-LRB-
cord-328957-mzi8504f	106	25	R	r	NN
cord-328957-mzi8504f	106	26	)	)	-RRB-
cord-328957-mzi8504f	106	27	.	.	.
cord-328957-mzi8504f	107	1	In	in	IN
cord-328957-mzi8504f	107	2	addition	addition	NN
cord-328957-mzi8504f	107	3	to	to	IN
cord-328957-mzi8504f	107	4	these	these	DT
cord-328957-mzi8504f	107	5	groups	group	NNS
cord-328957-mzi8504f	107	6	,	,	,
cord-328957-mzi8504f	107	7	we	-PRON-	PRP
cord-328957-mzi8504f	107	8	define	define	VBP
cord-328957-mzi8504f	107	9	a	a	DT
cord-328957-mzi8504f	107	10	death	death	NN
cord-328957-mzi8504f	107	11	group	group	NN
cord-328957-mzi8504f	107	12	(	(	-LRB-
cord-328957-mzi8504f	107	13	D	D	NNP
cord-328957-mzi8504f	107	14	)	)	-RRB-
cord-328957-mzi8504f	107	15	which	which	WDT
cord-328957-mzi8504f	107	16	is	be	VBZ
cord-328957-mzi8504f	107	17	associated	associate	VBN
cord-328957-mzi8504f	107	18	with	with	IN
cord-328957-mzi8504f	107	19	123	123	CD
cord-328957-mzi8504f	107	20	individuals	individual	NNS
cord-328957-mzi8504f	107	21	that	that	WDT
cord-328957-mzi8504f	107	22	are	be	VBP
cord-328957-mzi8504f	107	23	not	not	RB
cord-328957-mzi8504f	107	24	able	able	JJ
cord-328957-mzi8504f	107	25	to	to	TO
cord-328957-mzi8504f	107	26	fully	fully	RB
cord-328957-mzi8504f	107	27	recover	recover	VB
cord-328957-mzi8504f	107	28	from	from	IN
cord-328957-mzi8504f	107	29	the	the	DT
cord-328957-mzi8504f	107	30	disease	disease	NN
cord-328957-mzi8504f	107	31	or	or	CC
cord-328957-mzi8504f	107	32	succumb	succumb	VB
cord-328957-mzi8504f	107	33	to	to	IN
cord-328957-mzi8504f	107	34	death	death	NN
cord-328957-mzi8504f	107	35	.	.	.
cord-328957-mzi8504f	108	1	124	124	CD
cord-328957-mzi8504f	108	2	Individuals	individual	NNS
cord-328957-mzi8504f	108	3	from	from	IN
cord-328957-mzi8504f	108	4	the	the	DT
cord-328957-mzi8504f	108	5	infected	infected	JJ
cord-328957-mzi8504f	108	6	group	group	NN
cord-328957-mzi8504f	108	7	(	(	-LRB-
cord-328957-mzi8504f	108	8	I	i	NN
cord-328957-mzi8504f	108	9	)	)	-RRB-
cord-328957-mzi8504f	108	10	recover	recover	VB
cord-328957-mzi8504f	108	11	from	from	IN
cord-328957-mzi8504f	108	12	the	the	DT
cord-328957-mzi8504f	108	13	disease	disease	NN
cord-328957-mzi8504f	108	14	in	in	IN
cord-328957-mzi8504f	108	15	some	some	DT
cord-328957-mzi8504f	108	16	chance	chance	NN
cord-328957-mzi8504f	108	17	and	and	CC
cord-328957-mzi8504f	108	18	125	125	CD
cord-328957-mzi8504f	108	19	move	move	NN
cord-328957-mzi8504f	108	20	to	to	IN
cord-328957-mzi8504f	108	21	(	(	-LRB-
cord-328957-mzi8504f	108	22	R	r	NN
cord-328957-mzi8504f	108	23	)	)	-RRB-
cord-328957-mzi8504f	108	24	,	,	,
cord-328957-mzi8504f	108	25	while	while	IN
cord-328957-mzi8504f	108	26	the	the	DT
cord-328957-mzi8504f	108	27	others	other	NNS
cord-328957-mzi8504f	108	28	do	do	VBP
cord-328957-mzi8504f	108	29	not	not	RB
cord-328957-mzi8504f	108	30	and	and	CC
cord-328957-mzi8504f	108	31	move	move	VB
cord-328957-mzi8504f	108	32	to	to	IN
cord-328957-mzi8504f	108	33	(	(	-LRB-
cord-328957-mzi8504f	108	34	D	D	NNP
cord-328957-mzi8504f	108	35	)	)	-RRB-
cord-328957-mzi8504f	108	36	.	.	.
cord-328957-mzi8504f	109	1	Therefore	therefore	RB
cord-328957-mzi8504f	109	2	,	,	,
cord-328957-mzi8504f	109	3	in	in	IN
cord-328957-mzi8504f	109	4	each	each	DT
cord-328957-mzi8504f	109	5	time	time	NN
cord-328957-mzi8504f	109	6	unit	unit	NN
cord-328957-mzi8504f	109	7	,	,	,
cord-328957-mzi8504f	109	8	126	126	CD
cord-328957-mzi8504f	109	9	some	some	DT
cord-328957-mzi8504f	109	10	rate	rate	NN
cord-328957-mzi8504f	109	11	of	of	IN
cord-328957-mzi8504f	109	12	infected	infected	JJ
cord-328957-mzi8504f	109	13	individuals	individual	NNS
cord-328957-mzi8504f	109	14	recover	recover	VBP
cord-328957-mzi8504f	109	15	while	while	IN
cord-328957-mzi8504f	109	16	others	other	NNS
cord-328957-mzi8504f	109	17	die	die	VBP
cord-328957-mzi8504f	109	18	or	or	CC
cord-328957-mzi8504f	109	19	remain	remain	VBP
cord-328957-mzi8504f	109	20	seriously	seriously	RB
cord-328957-mzi8504f	109	21	ill	ill	JJ
cord-328957-mzi8504f	109	22	.	.	.
cord-328957-mzi8504f	110	1	127	127	CD
cord-328957-mzi8504f	111	1	We	-PRON-	PRP
cord-328957-mzi8504f	111	2	divide	divide	VBP
cord-328957-mzi8504f	111	3	the	the	DT
cord-328957-mzi8504f	111	4	population	population	NN
cord-328957-mzi8504f	111	5	into	into	IN
cord-328957-mzi8504f	111	6	two	two	CD
cord-328957-mzi8504f	111	7	classes	class	NNS
cord-328957-mzi8504f	111	8	based	base	VBN
cord-328957-mzi8504f	111	9	on	on	IN
cord-328957-mzi8504f	111	10	their	-PRON-	PRP$
cord-328957-mzi8504f	111	11	age	age	NN
cord-328957-mzi8504f	111	12	:	:	:
cord-328957-mzi8504f	111	13	children	child	NNS
cord-328957-mzi8504f	111	14	and	and	CC
cord-328957-mzi8504f	111	15	adults	adult	NNS
cord-328957-mzi8504f	111	16	128	128	CD
cord-328957-mzi8504f	111	17	because	because	IN
cord-328957-mzi8504f	111	18	these	these	DT
cord-328957-mzi8504f	111	19	groups	group	NNS
cord-328957-mzi8504f	111	20	experience	experience	VBP
cord-328957-mzi8504f	111	21	the	the	DT
cord-328957-mzi8504f	111	22	disease	disease	NN
cord-328957-mzi8504f	111	23	in	in	IN
cord-328957-mzi8504f	111	24	varying	vary	VBG
cord-328957-mzi8504f	111	25	degrees	degree	NNS
cord-328957-mzi8504f	111	26	of	of	IN
cord-328957-mzi8504f	111	27	severity	severity	NN
cord-328957-mzi8504f	111	28	and	and	CC
cord-328957-mzi8504f	111	29	have	have	VB
cord-328957-mzi8504f	111	30	129	129	CD
cord-328957-mzi8504f	111	31	different	different	JJ
cord-328957-mzi8504f	111	32	infection	infection	NN
cord-328957-mzi8504f	111	33	rates	rate	NNS
cord-328957-mzi8504f	111	34	.	.	.
cord-328957-mzi8504f	112	1	In	in	IN
cord-328957-mzi8504f	112	2	addition	addition	NN
cord-328957-mzi8504f	112	3	,	,	,
cord-328957-mzi8504f	112	4	adults	adult	NNS
cord-328957-mzi8504f	112	5	and	and	CC
cord-328957-mzi8504f	112	6	children	child	NNS
cord-328957-mzi8504f	112	7	are	be	VBP
cord-328957-mzi8504f	112	8	present	present	JJ
cord-328957-mzi8504f	112	9	in	in	IN
cord-328957-mzi8504f	112	10	various	various	JJ
cord-328957-mzi8504f	112	11	discrete	discrete	JJ
cord-328957-mzi8504f	112	12	130	130	CD
cord-328957-mzi8504f	112	13	locations	location	NNS
cord-328957-mzi8504f	112	14	throughout	throughout	IN
cord-328957-mzi8504f	112	15	many	many	JJ
cord-328957-mzi8504f	112	16	hours	hour	NNS
cord-328957-mzi8504f	112	17	of	of	IN
cord-328957-mzi8504f	112	18	the	the	DT
cord-328957-mzi8504f	112	19	day	day	NN
cord-328957-mzi8504f	112	20	which	which	WDT
cord-328957-mzi8504f	112	21	affects	affect	VBZ
cord-328957-mzi8504f	112	22	the	the	DT
cord-328957-mzi8504f	112	23	spread	spread	NN
cord-328957-mzi8504f	112	24	dynamics	dynamic	NNS
cord-328957-mzi8504f	112	25	.	.	.
cord-328957-mzi8504f	113	1	Individ-131	individ-131	IN
cord-328957-mzi8504f	113	2	uals	ual	NNS
cord-328957-mzi8504f	113	3	below	below	IN
cord-328957-mzi8504f	113	4	age	age	NN
cord-328957-mzi8504f	113	5	A	a	NN
cord-328957-mzi8504f	113	6	are	be	VBP
cord-328957-mzi8504f	113	7	associated	associate	VBN
cord-328957-mzi8504f	113	8	with	with	IN
cord-328957-mzi8504f	113	9	the	the	DT
cord-328957-mzi8504f	113	10	"	"	``
cord-328957-mzi8504f	113	11	children	child	NNS
cord-328957-mzi8504f	113	12	"	"	''
cord-328957-mzi8504f	113	13	age	age	NN
cord-328957-mzi8504f	113	14	-	-	HYPH
cord-328957-mzi8504f	113	15	class	class	NN
cord-328957-mzi8504f	113	16	while	while	IN
cord-328957-mzi8504f	113	17	individuals	individual	NNS
cord-328957-mzi8504f	113	18	in	in	IN
cord-328957-mzi8504f	113	19	the	the	DT
cord-328957-mzi8504f	113	20	132	132	CD
cord-328957-mzi8504f	113	21	complementary	complementary	JJ
cord-328957-mzi8504f	113	22	group	group	NN
cord-328957-mzi8504f	113	23	are	be	VBP
cord-328957-mzi8504f	113	24	associated	associate	VBN
cord-328957-mzi8504f	113	25	with	with	IN
cord-328957-mzi8504f	113	26	the	the	DT
cord-328957-mzi8504f	113	27	"	"	``
cord-328957-mzi8504f	113	28	adult	adult	NN
cord-328957-mzi8504f	113	29	"	"	''
cord-328957-mzi8504f	113	30	age	age	NN
cord-328957-mzi8504f	113	31	-	-	HYPH
cord-328957-mzi8504f	113	32	class	class	NN
cord-328957-mzi8504f	113	33	.	.	.
cord-328957-mzi8504f	114	1	The	the	DT
cord-328957-mzi8504f	114	2	specific	specific	JJ
cord-328957-mzi8504f	114	3	threshold	threshold	NN
cord-328957-mzi8504f	114	4	133	133	CD
cord-328957-mzi8504f	114	5	age	age	NN
cord-328957-mzi8504f	114	6	(	(	-LRB-
cord-328957-mzi8504f	114	7	A	a	NN
cord-328957-mzi8504f	114	8	)	)	-RRB-
cord-328957-mzi8504f	114	9	may	may	MD
cord-328957-mzi8504f	114	10	differ	differ	VB
cord-328957-mzi8504f	114	11	in	in	IN
cord-328957-mzi8504f	114	12	different	different	JJ
cord-328957-mzi8504f	114	13	locations	location	NNS
cord-328957-mzi8504f	114	14	but	but	CC
cord-328957-mzi8504f	114	15	the	the	DT
cord-328957-mzi8504f	114	16	main	main	JJ
cord-328957-mzi8504f	114	17	goal	goal	NN
cord-328957-mzi8504f	114	18	is	be	VBZ
cord-328957-mzi8504f	114	19	to	to	TO
cord-328957-mzi8504f	114	20	divide	divide	VB
cord-328957-mzi8504f	114	21	the	the	DT
cord-328957-mzi8504f	114	22	population	population	NN
cord-328957-mzi8504f	114	23	134	134	CD
cord-328957-mzi8504f	114	24	into	into	IN
cord-328957-mzi8504f	114	25	two	two	CD
cord-328957-mzi8504f	114	26	representative	representative	JJ
cord-328957-mzi8504f	114	27	age	age	NN
cord-328957-mzi8504f	114	28	-	-	HYPH
cord-328957-mzi8504f	114	29	classes	class	NNS
cord-328957-mzi8504f	114	30	.	.	.
cord-328957-mzi8504f	115	1	Since	since	IN
cord-328957-mzi8504f	115	2	it	-PRON-	PRP
cord-328957-mzi8504f	115	3	takes	take	VBZ
cord-328957-mzi8504f	115	4	A	a	DT
cord-328957-mzi8504f	115	5	years	year	NNS
cord-328957-mzi8504f	115	6	from	from	IN
cord-328957-mzi8504f	115	7	birth	birth	NN
cord-328957-mzi8504f	115	8	to	to	TO
cord-328957-mzi8504f	115	9	move	move	VB
cord-328957-mzi8504f	115	10	from	from	IN
cord-328957-mzi8504f	115	11	a	a	DT
cord-328957-mzi8504f	115	12	135	135	CD
cord-328957-mzi8504f	115	13	child	child	NN
cord-328957-mzi8504f	115	14	to	to	IN
cord-328957-mzi8504f	115	15	an	an	DT
cord-328957-mzi8504f	115	16	adult	adult	NN
cord-328957-mzi8504f	115	17	age	age	NN
cord-328957-mzi8504f	115	18	group	group	NN
cord-328957-mzi8504f	115	19	,	,	,
cord-328957-mzi8504f	115	20	the	the	DT
cord-328957-mzi8504f	115	21	conversion	conversion	NN
cord-328957-mzi8504f	115	22	rate	rate	NN
cord-328957-mzi8504f	115	23	is	be	VBZ
cord-328957-mzi8504f	115	24	set	set	VBN
cord-328957-mzi8504f	115	25	as	as	IN
cord-328957-mzi8504f	115	26	α	α	NN
cord-328957-mzi8504f	115	27	:	:	:
cord-328957-mzi8504f	115	28	=	=	SYM
cord-328957-mzi8504f	115	29	1	1	CD
cord-328957-mzi8504f	115	30	A	a	NN
cord-328957-mzi8504f	115	31	.	.	.
cord-328957-mzi8504f	116	1	By	by	IN
cord-328957-mzi8504f	116	2	expanding	expand	VBG
cord-328957-mzi8504f	116	3	the	the	DT
cord-328957-mzi8504f	116	4	designation	designation	NN
cord-328957-mzi8504f	116	5	to	to	IN
cord-328957-mzi8504f	116	6	two	two	CD
cord-328957-mzi8504f	116	7	age	age	NN
cord-328957-mzi8504f	116	8	-	-	HYPH
cord-328957-mzi8504f	116	9	classes	class	NNS
cord-328957-mzi8504f	116	10	,	,	,
cord-328957-mzi8504f	116	11	we	-PRON-	PRP
cord-328957-mzi8504f	116	12	let	let	VBP
cord-328957-mzi8504f	116	13	S	s	NN
cord-328957-mzi8504f	116	14	c	c	NN
cord-328957-mzi8504f	116	15	,	,	,
cord-328957-mzi8504f	116	16	I	I	NNP
cord-328957-mzi8504f	116	17	c	c	NNP
cord-328957-mzi8504f	116	18	,	,	,
cord-328957-mzi8504f	116	19	R	R	NNP
cord-328957-mzi8504f	116	20	c	c	NN
cord-328957-mzi8504f	116	21	,	,	,
cord-328957-mzi8504f	116	22	D	D	NNP
cord-328957-mzi8504f	116	23	c	c	NN
cord-328957-mzi8504f	116	24	and	and	CC
cord-328957-mzi8504f	116	25	S	S	NNP
cord-328957-mzi8504f	116	26	a	a	DT
cord-328957-mzi8504f	117	1	,	,	,
cord-328957-mzi8504f	117	2	I	-PRON-	PRP
cord-328957-mzi8504f	117	3	a	a	DT
cord-328957-mzi8504f	117	4	,	,	,
cord-328957-mzi8504f	117	5	R	R	NNP
cord-328957-mzi8504f	117	6	a	a	NN
cord-328957-mzi8504f	117	7	,	,	,
cord-328957-mzi8504f	118	1	D	D	NNP
cord-328957-mzi8504f	118	2	a	a	DT
cord-328957-mzi8504f	118	3	137	137	CD
cord-328957-mzi8504f	118	4	represent	represent	VBP
cord-328957-mzi8504f	118	5	susceptible	susceptible	JJ
cord-328957-mzi8504f	118	6	,	,	,
cord-328957-mzi8504f	118	7	infected	infected	JJ
cord-328957-mzi8504f	118	8	,	,	,
cord-328957-mzi8504f	118	9	recovered	recover	VBN
cord-328957-mzi8504f	118	10	,	,	,
cord-328957-mzi8504f	118	11	and	and	CC
cord-328957-mzi8504f	118	12	death	death	NN
cord-328957-mzi8504f	118	13	groups	group	NNS
cord-328957-mzi8504f	118	14	for	for	IN
cord-328957-mzi8504f	118	15	children	child	NNS
cord-328957-mzi8504f	118	16	and	and	CC
cord-328957-mzi8504f	118	17	adults	adult	NNS
cord-328957-mzi8504f	118	18	,	,	,
cord-328957-mzi8504f	118	19	138	138	CD
cord-328957-mzi8504f	119	1	respectively	respectively	RB
cord-328957-mzi8504f	119	2	such	such	JJ
cord-328957-mzi8504f	119	3	that	that	IN
cord-328957-mzi8504f	119	4	The	the	DT
cord-328957-mzi8504f	119	5	model	model	NN
cord-328957-mzi8504f	119	6	does	do	VBZ
cord-328957-mzi8504f	119	7	not	not	RB
cord-328957-mzi8504f	119	8	take	take	VB
cord-328957-mzi8504f	119	9	into	into	IN
cord-328957-mzi8504f	119	10	consideration	consideration	NN
cord-328957-mzi8504f	119	11	death	death	NN
cord-328957-mzi8504f	119	12	during	during	IN
cord-328957-mzi8504f	119	13	the	the	DT
cord-328957-mzi8504f	119	14	epidemic	epidemic	NN
cord-328957-mzi8504f	119	15	unrelated	unrelated	JJ
cord-328957-mzi8504f	119	16	140	140	CD
cord-328957-mzi8504f	119	17	to	to	IN
cord-328957-mzi8504f	119	18	the	the	DT
cord-328957-mzi8504f	119	19	disease	disease	NN
cord-328957-mzi8504f	119	20	itself	-PRON-	PRP
cord-328957-mzi8504f	119	21	because	because	IN
cord-328957-mzi8504f	119	22	in	in	IN
cord-328957-mzi8504f	119	23	the	the	DT
cord-328957-mzi8504f	119	24	United	United	NNP
cord-328957-mzi8504f	119	25	States	States	NNP
cord-328957-mzi8504f	119	26	in	in	IN
cord-328957-mzi8504f	119	27	2018	2018	CD
cord-328957-mzi8504f	119	28	the	the	DT
cord-328957-mzi8504f	119	29	birth	birth	NN
cord-328957-mzi8504f	119	30	rate	rate	NN
cord-328957-mzi8504f	119	31	was	be	VBD
cord-328957-mzi8504f	119	32	11.6	11.6	CD
cord-328957-mzi8504f	119	33	for	for	IN
cord-328957-mzi8504f	119	34	141	141	CD
cord-328957-mzi8504f	119	35	every	every	DT
cord-328957-mzi8504f	119	36	1000	1000	CD
cord-328957-mzi8504f	119	37	individuals	individual	NNS
cord-328957-mzi8504f	119	38	[	[	-LRB-
cord-328957-mzi8504f	119	39	26	26	CD
cord-328957-mzi8504f	119	40	]	]	-RRB-
cord-328957-mzi8504f	119	41	while	while	IN
cord-328957-mzi8504f	119	42	the	the	DT
cord-328957-mzi8504f	119	43	mortality	mortality	NN
cord-328957-mzi8504f	119	44	rate	rate	NN
cord-328957-mzi8504f	119	45	in	in	IN
cord-328957-mzi8504f	119	46	2017	2017	CD
cord-328957-mzi8504f	119	47	was	be	VBD
cord-328957-mzi8504f	119	48	8.6	8.6	CD
cord-328957-mzi8504f	119	49	for	for	IN
cord-328957-mzi8504f	119	50	every	every	DT
cord-328957-mzi8504f	119	51	1000	1000	CD
cord-328957-mzi8504f	119	52	142	142	CD
cord-328957-mzi8504f	119	53	individuals	individual	NNS
cord-328957-mzi8504f	119	54	[	[	-LRB-
cord-328957-mzi8504f	119	55	27	27	CD
cord-328957-mzi8504f	119	56	]	]	-RRB-
cord-328957-mzi8504f	119	57	,	,	,
cord-328957-mzi8504f	119	58	resulting	result	VBG
cord-328957-mzi8504f	119	59	in	in	IN
cord-328957-mzi8504f	119	60	around	around	IN
cord-328957-mzi8504f	119	61	0.3	0.3	CD
cord-328957-mzi8504f	119	62	%	%	NN
cord-328957-mzi8504f	119	63	increment	increment	NN
cord-328957-mzi8504f	119	64	of	of	IN
cord-328957-mzi8504f	119	65	the	the	DT
cord-328957-mzi8504f	119	66	population	population	NN
cord-328957-mzi8504f	119	67	size	size	NN
cord-328957-mzi8504f	119	68	which	which	WDT
cord-328957-mzi8504f	119	69	is	be	VBZ
cord-328957-mzi8504f	119	70	143	143	CD
cord-328957-mzi8504f	119	71	assumed	assume	VBN
cord-328957-mzi8504f	119	72	to	to	TO
cord-328957-mzi8504f	119	73	be	be	VB
cord-328957-mzi8504f	119	74	small	small	JJ
cord-328957-mzi8504f	119	75	enough	enough	RB
cord-328957-mzi8504f	119	76	to	to	TO
cord-328957-mzi8504f	119	77	be	be	VB
cord-328957-mzi8504f	119	78	neglected	neglect	VBN
cord-328957-mzi8504f	119	79	.	.	.
cord-328957-mzi8504f	120	1	In	in	IN
cord-328957-mzi8504f	120	2	addition	addition	NN
cord-328957-mzi8504f	120	3	,	,	,
cord-328957-mzi8504f	120	4	we	-PRON-	PRP
cord-328957-mzi8504f	120	5	introduce	introduce	VBP
cord-328957-mzi8504f	120	6	two	two	CD
cord-328957-mzi8504f	120	7	death	death	NN
cord-328957-mzi8504f	120	8	states	state	NNS
cord-328957-mzi8504f	120	9	144	144	CD
cord-328957-mzi8504f	120	10	for	for	IN
cord-328957-mzi8504f	120	11	children	child	NNS
cord-328957-mzi8504f	120	12	and	and	CC
cord-328957-mzi8504f	120	13	adults	adult	NNS
cord-328957-mzi8504f	120	14	,	,	,
cord-328957-mzi8504f	120	15	respectively	respectively	RB
cord-328957-mzi8504f	120	16	,	,	,
cord-328957-mzi8504f	120	17	that	that	WDT
cord-328957-mzi8504f	120	18	died	die	VBD
cord-328957-mzi8504f	120	19	from	from	IN
cord-328957-mzi8504f	120	20	the	the	DT
cord-328957-mzi8504f	120	21	epidemic	epidemic	NN
cord-328957-mzi8504f	120	22	.	.	.
cord-328957-mzi8504f	121	1	Eq	Eq	NNP
cord-328957-mzi8504f	122	1	(	(	-LRB-
cord-328957-mzi8504f	122	2	1	1	CD
cord-328957-mzi8504f	122	3	-	-	SYM
cord-328957-mzi8504f	122	4	10	10	CD
cord-328957-mzi8504f	122	5	)	)	-RRB-
cord-328957-mzi8504f	122	6	describes	describe	VBZ
cord-328957-mzi8504f	122	7	the	the	DT
cord-328957-mzi8504f	122	8	epidemic	epidemic	NN
cord-328957-mzi8504f	122	9	's	's	POS
cord-328957-mzi8504f	122	10	dynamics	dynamic	NNS
cord-328957-mzi8504f	122	11	.	.	.
cord-328957-mzi8504f	123	1	In	in	IN
cord-328957-mzi8504f	123	2	Eq	Eq	NNP
cord-328957-mzi8504f	123	3	(	(	-LRB-
cord-328957-mzi8504f	123	4	1	1	CD
cord-328957-mzi8504f	123	5	)	)	-RRB-
cord-328957-mzi8504f	123	6	,	,	,
cord-328957-mzi8504f	123	7	dSc(t	dSc(t	NNP
cord-328957-mzi8504f	123	8	)	)	-RRB-
cord-328957-mzi8504f	123	9	dt	dt	NNP
cord-328957-mzi8504f	123	10	is	be	VBZ
cord-328957-mzi8504f	123	11	the	the	DT
cord-328957-mzi8504f	123	12	dynamical	dynamical	JJ
cord-328957-mzi8504f	123	13	amount	amount	NN
cord-328957-mzi8504f	123	14	of	of	IN
cord-328957-mzi8504f	123	15	susceptible	susceptible	JJ
cord-328957-mzi8504f	123	16	individual	individual	JJ
cord-328957-mzi8504f	123	17	children	child	NNS
cord-328957-mzi8504f	123	18	over	over	IN
cord-328957-mzi8504f	123	19	time	time	NN
cord-328957-mzi8504f	123	20	.	.	.
cord-328957-mzi8504f	124	1	147	147	CD
cord-328957-mzi8504f	125	1	It	-PRON-	PRP
cord-328957-mzi8504f	125	2	is	be	VBZ
cord-328957-mzi8504f	125	3	affected	affect	VBN
cord-328957-mzi8504f	125	4	by	by	IN
cord-328957-mzi8504f	125	5	the	the	DT
cord-328957-mzi8504f	125	6	following	follow	VBG
cord-328957-mzi8504f	125	7	three	three	CD
cord-328957-mzi8504f	125	8	terms	term	NNS
cord-328957-mzi8504f	125	9	.	.	.
cord-328957-mzi8504f	126	1	First	first	RB
cord-328957-mzi8504f	126	2	,	,	,
cord-328957-mzi8504f	126	3	with	with	IN
cord-328957-mzi8504f	126	4	rate	rate	NN
cord-328957-mzi8504f	126	5	β	β	NN
cord-328957-mzi8504f	126	6	cc	cc	XX
cord-328957-mzi8504f	126	7	each	each	DT
cord-328957-mzi8504f	126	8	infected	infect	VBN
cord-328957-mzi8504f	126	9	child	child	NN
cord-328957-mzi8504f	126	10	infects	infect	VBZ
cord-328957-mzi8504f	126	11	148	148	CD
cord-328957-mzi8504f	126	12	susceptible	susceptible	JJ
cord-328957-mzi8504f	126	13	children	child	NNS
cord-328957-mzi8504f	126	14	.	.	.
cord-328957-mzi8504f	127	1	Second	second	RB
cord-328957-mzi8504f	127	2	,	,	,
cord-328957-mzi8504f	127	3	with	with	IN
cord-328957-mzi8504f	127	4	rate	rate	NN
cord-328957-mzi8504f	127	5	β	β	NN
cord-328957-mzi8504f	127	6	ca	ca	MD
cord-328957-mzi8504f	127	7	each	each	DT
cord-328957-mzi8504f	127	8	infected	infect	VBN
cord-328957-mzi8504f	127	9	adult	adult	NN
cord-328957-mzi8504f	127	10	infects	infect	VBZ
cord-328957-mzi8504f	127	11	the	the	DT
cord-328957-mzi8504f	127	12	susceptible	susceptible	JJ
cord-328957-mzi8504f	127	13	149	149	CD
cord-328957-mzi8504f	127	14	children	child	NNS
cord-328957-mzi8504f	127	15	.	.	.
cord-328957-mzi8504f	128	1	Finally	finally	RB
cord-328957-mzi8504f	128	2	,	,	,
cord-328957-mzi8504f	128	3	children	child	NNS
cord-328957-mzi8504f	128	4	grow	grow	VBP
cord-328957-mzi8504f	128	5	and	and	CC
cord-328957-mzi8504f	128	6	pass	pass	VB
cord-328957-mzi8504f	128	7	from	from	IN
cord-328957-mzi8504f	128	8	the	the	DT
cord-328957-mzi8504f	128	9	children	child	NNS
cord-328957-mzi8504f	128	10	's	's	POS
cord-328957-mzi8504f	128	11	age	age	NN
cord-328957-mzi8504f	128	12	-	-	HYPH
cord-328957-mzi8504f	128	13	class	class	NN
cord-328957-mzi8504f	128	14	to	to	IN
cord-328957-mzi8504f	128	15	the	the	DT
cord-328957-mzi8504f	128	16	adult	adult	NN
cord-328957-mzi8504f	128	17	's	's	POS
cord-328957-mzi8504f	128	18	150	150	CD
cord-328957-mzi8504f	128	19	age	age	NN
cord-328957-mzi8504f	128	20	-	-	HYPH
cord-328957-mzi8504f	128	21	class	class	NN
cord-328957-mzi8504f	128	22	with	with	IN
cord-328957-mzi8504f	128	23	transition	transition	NN
cord-328957-mzi8504f	128	24	rate	rate	NN
cord-328957-mzi8504f	128	25	α	α	NN
cord-328957-mzi8504f	128	26	,	,	,
cord-328957-mzi8504f	128	27	reduced	reduce	VBN
cord-328957-mzi8504f	128	28	from	from	IN
cord-328957-mzi8504f	128	29	the	the	DT
cord-328957-mzi8504f	128	30	children	child	NNS
cord-328957-mzi8504f	128	31	's	's	POS
cord-328957-mzi8504f	128	32	age	age	NN
cord-328957-mzi8504f	128	33	-	-	HYPH
cord-328957-mzi8504f	128	34	class	class	NN
cord-328957-mzi8504f	128	35	.	.	.
cord-328957-mzi8504f	129	1	N	N	NNP
cord-328957-mzi8504f	129	2	c	c	NN
cord-328957-mzi8504f	129	3	is	be	VBZ
cord-328957-mzi8504f	129	4	the	the	DT
cord-328957-mzi8504f	129	5	size	size	NN
cord-328957-mzi8504f	129	6	151	151	CD
cord-328957-mzi8504f	129	7	of	of	IN
cord-328957-mzi8504f	129	8	the	the	DT
cord-328957-mzi8504f	129	9	children	child	NNS
cord-328957-mzi8504f	129	10	population	population	NN
cord-328957-mzi8504f	129	11	and	and	CC
cord-328957-mzi8504f	129	12	used	use	VBD
cord-328957-mzi8504f	129	13	to	to	TO
cord-328957-mzi8504f	129	14	take	take	VB
cord-328957-mzi8504f	129	15	all	all	DT
cord-328957-mzi8504f	129	16	variables	variable	NNS
cord-328957-mzi8504f	129	17	as	as	IN
cord-328957-mzi8504f	129	18	fixed	fix	VBN
cord-328957-mzi8504f	129	19	proportions	proportion	NNS
cord-328957-mzi8504f	129	20	of	of	IN
cord-328957-mzi8504f	129	21	the	the	DT
cord-328957-mzi8504f	129	22	152	152	CD
cord-328957-mzi8504f	129	23	population	population	NN
cord-328957-mzi8504f	129	24	N	n	CD
cord-328957-mzi8504f	129	25	.	.	.
cord-328957-mzi8504f	130	1	In	in	IN
cord-328957-mzi8504f	130	2	Eq	Eq	NNP
cord-328957-mzi8504f	130	3	(	(	-LRB-
cord-328957-mzi8504f	130	4	2	2	CD
cord-328957-mzi8504f	130	5	)	)	-RRB-
cord-328957-mzi8504f	130	6	,	,	,
cord-328957-mzi8504f	130	7	dSa(t	dSa(t	NNP
cord-328957-mzi8504f	130	8	)	)	-RRB-
cord-328957-mzi8504f	130	9	dt	dt	NNP
cord-328957-mzi8504f	130	10	is	be	VBZ
cord-328957-mzi8504f	130	11	the	the	DT
cord-328957-mzi8504f	130	12	dynamical	dynamical	JJ
cord-328957-mzi8504f	130	13	amount	amount	NN
cord-328957-mzi8504f	130	14	of	of	IN
cord-328957-mzi8504f	130	15	susceptible	susceptible	JJ
cord-328957-mzi8504f	130	16	adult	adult	NN
cord-328957-mzi8504f	130	17	individuals	individual	NNS
cord-328957-mzi8504f	130	18	over	over	IN
cord-328957-mzi8504f	130	19	time	time	NN
cord-328957-mzi8504f	130	20	.	.	.
cord-328957-mzi8504f	131	1	children	child	NNS
cord-328957-mzi8504f	131	2	's	's	POS
cord-328957-mzi8504f	131	3	age	age	NN
cord-328957-mzi8504f	131	4	-	-	HYPH
cord-328957-mzi8504f	131	5	class	class	NN
cord-328957-mzi8504f	131	6	to	to	IN
cord-328957-mzi8504f	131	7	the	the	DT
cord-328957-mzi8504f	131	8	adult	adult	NN
cord-328957-mzi8504f	131	9	's	's	POS
cord-328957-mzi8504f	131	10	age	age	NN
cord-328957-mzi8504f	131	11	-	-	HYPH
cord-328957-mzi8504f	131	12	class	class	NN
cord-328957-mzi8504f	131	13	with	with	IN
cord-328957-mzi8504f	131	14	transition	transition	NN
cord-328957-mzi8504f	131	15	rate	rate	NN
cord-328957-mzi8504f	131	16	α	α	NN
cord-328957-mzi8504f	131	17	,	,	,
cord-328957-mzi8504f	131	18	added	add	VBD
cord-328957-mzi8504f	131	19	to	to	IN
cord-328957-mzi8504f	131	20	the	the	DT
cord-328957-mzi8504f	131	21	adult	adult	NN
cord-328957-mzi8504f	131	22	156	156	CD
cord-328957-mzi8504f	131	23	age	age	NN
cord-328957-mzi8504f	131	24	-	-	HYPH
cord-328957-mzi8504f	131	25	class	class	NN
cord-328957-mzi8504f	131	26	.	.	.
cord-328957-mzi8504f	132	1	Second	second	RB
cord-328957-mzi8504f	132	2	,	,	,
cord-328957-mzi8504f	132	3	with	with	IN
cord-328957-mzi8504f	132	4	rate	rate	NN
cord-328957-mzi8504f	132	5	β	β	NN
cord-328957-mzi8504f	132	6	ac	ac	IN
cord-328957-mzi8504f	132	7	each	each	DT
cord-328957-mzi8504f	132	8	infected	infect	VBN
cord-328957-mzi8504f	132	9	child	child	NN
cord-328957-mzi8504f	132	10	infects	infect	VBZ
cord-328957-mzi8504f	132	11	the	the	DT
cord-328957-mzi8504f	132	12	susceptible	susceptible	JJ
cord-328957-mzi8504f	132	13	adult	adult	NN
cord-328957-mzi8504f	132	14	.	.	.
cord-328957-mzi8504f	133	1	Finally	finally	RB
cord-328957-mzi8504f	133	2	,	,	,
cord-328957-mzi8504f	133	3	157	157	CD
cord-328957-mzi8504f	133	4	with	with	IN
cord-328957-mzi8504f	133	5	rate	rate	NN
cord-328957-mzi8504f	133	6	β	β	NN
cord-328957-mzi8504f	133	7	aa	aa	NNP
cord-328957-mzi8504f	133	8	each	each	DT
cord-328957-mzi8504f	133	9	infected	infect	VBN
cord-328957-mzi8504f	133	10	adult	adult	NN
cord-328957-mzi8504f	133	11	infects	infect	VBZ
cord-328957-mzi8504f	133	12	a	a	DT
cord-328957-mzi8504f	133	13	susceptible	susceptible	JJ
cord-328957-mzi8504f	133	14	adult	adult	NN
cord-328957-mzi8504f	133	15	.	.	.
cord-328957-mzi8504f	134	1	N	n	LS
cord-328957-mzi8504f	134	2	a	a	DT
cord-328957-mzi8504f	134	3	is	be	VBZ
cord-328957-mzi8504f	134	4	the	the	DT
cord-328957-mzi8504f	134	5	size	size	NN
cord-328957-mzi8504f	134	6	of	of	IN
cord-328957-mzi8504f	134	7	the	the	DT
cord-328957-mzi8504f	134	8	adult	adult	NN
cord-328957-mzi8504f	134	9	158	158	CD
cord-328957-mzi8504f	134	10	population	population	NN
cord-328957-mzi8504f	134	11	and	and	CC
cord-328957-mzi8504f	134	12	used	use	VBD
cord-328957-mzi8504f	134	13	to	to	TO
cord-328957-mzi8504f	134	14	take	take	VB
cord-328957-mzi8504f	134	15	all	all	DT
cord-328957-mzi8504f	134	16	variables	variable	NNS
cord-328957-mzi8504f	134	17	as	as	IN
cord-328957-mzi8504f	134	18	fixed	fix	VBN
cord-328957-mzi8504f	134	19	proportions	proportion	NNS
cord-328957-mzi8504f	134	20	of	of	IN
cord-328957-mzi8504f	134	21	the	the	DT
cord-328957-mzi8504f	134	22	population	population	NN
cord-328957-mzi8504f	134	23	N	N	NNP
cord-328957-mzi8504f	134	24	.	.	.
cord-328957-mzi8504f	135	1	is	be	VBZ
cord-328957-mzi8504f	135	2	the	the	DT
cord-328957-mzi8504f	135	3	dynamical	dynamical	JJ
cord-328957-mzi8504f	135	4	amount	amount	NN
cord-328957-mzi8504f	135	5	of	of	IN
cord-328957-mzi8504f	135	6	infected	infected	JJ
cord-328957-mzi8504f	135	7	individual	individual	JJ
cord-328957-mzi8504f	135	8	children	child	NNS
cord-328957-mzi8504f	135	9	over	over	IN
cord-328957-mzi8504f	135	10	time	time	NN
cord-328957-mzi8504f	135	11	.	.	.
cord-328957-mzi8504f	136	1	160	160	CD
cord-328957-mzi8504f	137	1	It	-PRON-	PRP
cord-328957-mzi8504f	137	2	is	be	VBZ
cord-328957-mzi8504f	137	3	affected	affect	VBN
cord-328957-mzi8504f	137	4	by	by	IN
cord-328957-mzi8504f	137	5	the	the	DT
cord-328957-mzi8504f	137	6	following	follow	VBG
cord-328957-mzi8504f	137	7	four	four	CD
cord-328957-mzi8504f	137	8	terms	term	NNS
cord-328957-mzi8504f	137	9	.	.	.
cord-328957-mzi8504f	138	1	First	first	RB
cord-328957-mzi8504f	138	2	,	,	,
cord-328957-mzi8504f	138	3	with	with	IN
cord-328957-mzi8504f	138	4	rate	rate	NN
cord-328957-mzi8504f	138	5	β	β	NN
cord-328957-mzi8504f	138	6	ca	ca	MD
cord-328957-mzi8504f	138	7	each	each	DT
cord-328957-mzi8504f	138	8	infected	infect	VBN
cord-328957-mzi8504f	138	9	child	child	NN
cord-328957-mzi8504f	138	10	infects	infect	VBZ
cord-328957-mzi8504f	138	11	161	161	CD
cord-328957-mzi8504f	138	12	the	the	DT
cord-328957-mzi8504f	138	13	susceptible	susceptible	JJ
cord-328957-mzi8504f	138	14	adult	adult	NN
cord-328957-mzi8504f	138	15	.	.	.
cord-328957-mzi8504f	139	1	Second	second	RB
cord-328957-mzi8504f	139	2	,	,	,
cord-328957-mzi8504f	139	3	with	with	IN
cord-328957-mzi8504f	139	4	rate	rate	NN
cord-328957-mzi8504f	139	5	β	β	NN
cord-328957-mzi8504f	139	6	cc	cc	XX
cord-328957-mzi8504f	139	7	each	each	DT
cord-328957-mzi8504f	139	8	infected	infect	VBN
cord-328957-mzi8504f	139	9	child	child	NN
cord-328957-mzi8504f	139	10	infects	infect	VBZ
cord-328957-mzi8504f	139	11	a	a	DT
cord-328957-mzi8504f	139	12	susceptible	susceptible	JJ
cord-328957-mzi8504f	139	13	child	child	NN
cord-328957-mzi8504f	139	14	.	.	.
cord-328957-mzi8504f	140	1	162	162	CD
cord-328957-mzi8504f	140	2	Third	Third	NNP
cord-328957-mzi8504f	140	3	,	,	,
cord-328957-mzi8504f	140	4	individuals	individual	NNS
cord-328957-mzi8504f	140	5	recover	recover	VBP
cord-328957-mzi8504f	140	6	or	or	CC
cord-328957-mzi8504f	140	7	die	die	VBP
cord-328957-mzi8504f	140	8	from	from	IN
cord-328957-mzi8504f	140	9	the	the	DT
cord-328957-mzi8504f	140	10	disease	disease	NN
cord-328957-mzi8504f	140	11	after	after	IN
cord-328957-mzi8504f	140	12	a	a	DT
cord-328957-mzi8504f	140	13	period	period	NN
cord-328957-mzi8504f	140	14	γ	γ	NN
cord-328957-mzi8504f	140	15	c	c	NN
cord-328957-mzi8504f	140	16	.	.	.
cord-328957-mzi8504f	141	1	Finally	finally	RB
cord-328957-mzi8504f	141	2	,	,	,
cord-328957-mzi8504f	141	3	children	child	NNS
cord-328957-mzi8504f	141	4	163	163	CD
cord-328957-mzi8504f	141	5	grow	grow	VB
cord-328957-mzi8504f	141	6	and	and	CC
cord-328957-mzi8504f	141	7	pass	pass	VB
cord-328957-mzi8504f	141	8	from	from	IN
cord-328957-mzi8504f	141	9	the	the	DT
cord-328957-mzi8504f	141	10	children	child	NNS
cord-328957-mzi8504f	141	11	's	's	POS
cord-328957-mzi8504f	141	12	age	age	NN
cord-328957-mzi8504f	141	13	-	-	HYPH
cord-328957-mzi8504f	141	14	class	class	NN
cord-328957-mzi8504f	141	15	to	to	IN
cord-328957-mzi8504f	141	16	the	the	DT
cord-328957-mzi8504f	141	17	adult	adult	NN
cord-328957-mzi8504f	141	18	's	's	POS
cord-328957-mzi8504f	141	19	age	age	NN
cord-328957-mzi8504f	141	20	-	-	HYPH
cord-328957-mzi8504f	141	21	class	class	NN
cord-328957-mzi8504f	141	22	with	with	IN
cord-328957-mzi8504f	141	23	transition	transition	NN
cord-328957-mzi8504f	141	24	rate	rate	NN
cord-328957-mzi8504f	141	25	164	164	CD
cord-328957-mzi8504f	141	26	α	α	NN
cord-328957-mzi8504f	141	27	,	,	,
cord-328957-mzi8504f	141	28	reduced	reduce	VBN
cord-328957-mzi8504f	141	29	from	from	IN
cord-328957-mzi8504f	141	30	the	the	DT
cord-328957-mzi8504f	141	31	adult	adult	NN
cord-328957-mzi8504f	141	32	's	's	POS
cord-328957-mzi8504f	141	33	age	age	NN
cord-328957-mzi8504f	141	34	-	-	HYPH
cord-328957-mzi8504f	141	35	class	class	NN
cord-328957-mzi8504f	141	36	.	.	.
cord-328957-mzi8504f	142	1	While	while	IN
cord-328957-mzi8504f	142	2	the	the	DT
cord-328957-mzi8504f	142	3	last	last	JJ
cord-328957-mzi8504f	142	4	process	process	NN
cord-328957-mzi8504f	142	5	has	have	VBZ
cord-328957-mzi8504f	142	6	a	a	DT
cord-328957-mzi8504f	142	7	minor	minor	JJ
cord-328957-mzi8504f	142	8	impact	impact	NN
cord-328957-mzi8504f	142	9	relative	relative	NN
cord-328957-mzi8504f	142	10	165	165	CD
cord-328957-mzi8504f	142	11	to	to	IN
cord-328957-mzi8504f	142	12	the	the	DT
cord-328957-mzi8504f	142	13	first	first	JJ
cord-328957-mzi8504f	142	14	three	three	CD
cord-328957-mzi8504f	142	15	processes	process	NNS
cord-328957-mzi8504f	142	16	,	,	,
cord-328957-mzi8504f	142	17	we	-PRON-	PRP
cord-328957-mzi8504f	142	18	do	do	VBP
cord-328957-mzi8504f	142	19	not	not	RB
cord-328957-mzi8504f	142	20	neglect	neglect	VB
cord-328957-mzi8504f	142	21	it	-PRON-	PRP
cord-328957-mzi8504f	142	22	in	in	IN
cord-328957-mzi8504f	142	23	order	order	NN
cord-328957-mzi8504f	142	24	to	to	TO
cord-328957-mzi8504f	142	25	count	count	VB
cord-328957-mzi8504f	142	26	edge	edge	NN
cord-328957-mzi8504f	142	27	-	-	HYPH
cord-328957-mzi8504f	142	28	cases	case	NNS
cord-328957-mzi8504f	142	29	.	.	.
cord-328957-mzi8504f	143	1	November	November	NNP
cord-328957-mzi8504f	143	2	2	2	CD
cord-328957-mzi8504f	143	3	,	,	,
cord-328957-mzi8504f	143	4	2020	2020	CD
cord-328957-mzi8504f	143	5	6/28	6/28	CD
cord-328957-mzi8504f	143	6	.	.	.
cord-328957-mzi8504f	144	1	CC	CC	NNP
cord-328957-mzi8504f	144	2	-	-	HYPH
cord-328957-mzi8504f	144	3	BY	BY	NNP
cord-328957-mzi8504f	144	4	-	-	HYPH
cord-328957-mzi8504f	144	5	NC	NC	NNP
cord-328957-mzi8504f	144	6	-	-	HYPH
cord-328957-mzi8504f	144	7	ND	ND	NNP
cord-328957-mzi8504f	144	8	4.0	4.0	CD
cord-328957-mzi8504f	144	9	International	international	JJ
cord-328957-mzi8504f	144	10	license	license	NN
cord-328957-mzi8504f	144	11	It	-PRON-	PRP
cord-328957-mzi8504f	144	12	is	be	VBZ
cord-328957-mzi8504f	144	13	made	make	VBN
cord-328957-mzi8504f	144	14	available	available	JJ
cord-328957-mzi8504f	144	15	under	under	IN
cord-328957-mzi8504f	144	16	a	a	DT
cord-328957-mzi8504f	145	1	is	be	VBZ
cord-328957-mzi8504f	145	2	the	the	DT
cord-328957-mzi8504f	145	3	author	author	NN
cord-328957-mzi8504f	145	4	/	/	SYM
cord-328957-mzi8504f	145	5	funder	funder	NN
cord-328957-mzi8504f	145	6	,	,	,
cord-328957-mzi8504f	145	7	who	who	WP
cord-328957-mzi8504f	145	8	has	have	VBZ
cord-328957-mzi8504f	145	9	granted	grant	VBN
cord-328957-mzi8504f	145	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	145	11	a	a	DT
cord-328957-mzi8504f	145	12	license	license	NN
cord-328957-mzi8504f	145	13	to	to	TO
cord-328957-mzi8504f	145	14	display	display	VB
cord-328957-mzi8504f	145	15	the	the	DT
cord-328957-mzi8504f	145	16	preprint	preprint	NN
cord-328957-mzi8504f	145	17	in	in	IN
cord-328957-mzi8504f	145	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	145	19	.	.	.
cord-328957-mzi8504f	146	1	(	(	-LRB-
cord-328957-mzi8504f	146	2	which	which	WDT
cord-328957-mzi8504f	146	3	was	be	VBD
cord-328957-mzi8504f	146	4	not	not	RB
cord-328957-mzi8504f	146	5	certified	certify	VBN
cord-328957-mzi8504f	146	6	by	by	IN
cord-328957-mzi8504f	146	7	peer	peer	NN
cord-328957-mzi8504f	146	8	review	review	NN
cord-328957-mzi8504f	146	9	)	)	-RRB-
cord-328957-mzi8504f	147	1	The	the	DT
cord-328957-mzi8504f	147	2	copyright	copyright	NN
cord-328957-mzi8504f	147	3	holder	holder	NN
cord-328957-mzi8504f	147	4	for	for	IN
cord-328957-mzi8504f	147	5	this	this	DT
cord-328957-mzi8504f	147	6	preprint	preprint	NN
cord-328957-mzi8504f	147	7	this	this	DT
cord-328957-mzi8504f	147	8	version	version	NN
cord-328957-mzi8504f	147	9	posted	post	VBN
cord-328957-mzi8504f	147	10	November	November	NNP
cord-328957-mzi8504f	147	11	4	4	CD
cord-328957-mzi8504f	147	12	,	,	,
cord-328957-mzi8504f	147	13	2020	2020	CD
cord-328957-mzi8504f	147	14	.	.	.
cord-328957-mzi8504f	148	1	;	;	:
cord-328957-mzi8504f	148	2	https://doi.org/10.1101/2020.11.02.20224584	https://doi.org/10.1101/2020.11.02.20224584	NNP
cord-328957-mzi8504f	148	3	doi	doi	NN
cord-328957-mzi8504f	148	4	:	:	:
cord-328957-mzi8504f	149	1	medRxiv	medRxiv	NNP
cord-328957-mzi8504f	149	2	preprint	preprint	NNP
cord-328957-mzi8504f	150	1	In	in	IN
cord-328957-mzi8504f	150	2	Eq	Eq	NNP
cord-328957-mzi8504f	150	3	(	(	-LRB-
cord-328957-mzi8504f	150	4	4	4	CD
cord-328957-mzi8504f	150	5	)	)	-RRB-
cord-328957-mzi8504f	150	6	,	,	,
cord-328957-mzi8504f	150	7	dIa(t	dIa(t	NNP
cord-328957-mzi8504f	150	8	)	)	-RRB-
cord-328957-mzi8504f	150	9	dt	dt	NNP
cord-328957-mzi8504f	150	10	is	be	VBZ
cord-328957-mzi8504f	150	11	the	the	DT
cord-328957-mzi8504f	150	12	dynamical	dynamical	JJ
cord-328957-mzi8504f	150	13	amount	amount	NN
cord-328957-mzi8504f	150	14	of	of	IN
cord-328957-mzi8504f	150	15	infected	infected	JJ
cord-328957-mzi8504f	150	16	adult	adult	NN
cord-328957-mzi8504f	150	17	individuals	individual	NNS
cord-328957-mzi8504f	150	18	over	over	IN
cord-328957-mzi8504f	150	19	time	time	NN
cord-328957-mzi8504f	150	20	.	.	.
cord-328957-mzi8504f	151	1	It	-PRON-	PRP
cord-328957-mzi8504f	151	2	167	167	CD
cord-328957-mzi8504f	151	3	is	be	VBZ
cord-328957-mzi8504f	151	4	affected	affect	VBN
cord-328957-mzi8504f	151	5	by	by	IN
cord-328957-mzi8504f	151	6	the	the	DT
cord-328957-mzi8504f	151	7	following	follow	VBG
cord-328957-mzi8504f	151	8	four	four	CD
cord-328957-mzi8504f	151	9	terms	term	NNS
cord-328957-mzi8504f	151	10	.	.	.
cord-328957-mzi8504f	152	1	First	first	RB
cord-328957-mzi8504f	152	2	,	,	,
cord-328957-mzi8504f	152	3	with	with	IN
cord-328957-mzi8504f	152	4	rate	rate	NN
cord-328957-mzi8504f	152	5	β	β	NN
cord-328957-mzi8504f	152	6	ac	ac	IN
cord-328957-mzi8504f	152	7	each	each	DT
cord-328957-mzi8504f	152	8	infected	infect	VBN
cord-328957-mzi8504f	152	9	child	child	NN
cord-328957-mzi8504f	152	10	infects	infect	VBZ
cord-328957-mzi8504f	152	11	the	the	DT
cord-328957-mzi8504f	152	12	168	168	CD
cord-328957-mzi8504f	152	13	susceptible	susceptible	JJ
cord-328957-mzi8504f	152	14	adult	adult	NN
cord-328957-mzi8504f	152	15	.	.	.
cord-328957-mzi8504f	153	1	Second	second	RB
cord-328957-mzi8504f	153	2	,	,	,
cord-328957-mzi8504f	153	3	with	with	IN
cord-328957-mzi8504f	153	4	rate	rate	NN
cord-328957-mzi8504f	153	5	β	β	NN
cord-328957-mzi8504f	153	6	aa	aa	NNP
cord-328957-mzi8504f	153	7	each	each	DT
cord-328957-mzi8504f	153	8	infected	infect	VBN
cord-328957-mzi8504f	153	9	adult	adult	NN
cord-328957-mzi8504f	153	10	infects	infect	VBZ
cord-328957-mzi8504f	153	11	a	a	DT
cord-328957-mzi8504f	153	12	susceptible	susceptible	JJ
cord-328957-mzi8504f	153	13	adult	adult	NN
cord-328957-mzi8504f	153	14	.	.	.
cord-328957-mzi8504f	154	1	169	169	CD
cord-328957-mzi8504f	154	2	Third	Third	NNP
cord-328957-mzi8504f	154	3	,	,	,
cord-328957-mzi8504f	154	4	individuals	individual	NNS
cord-328957-mzi8504f	154	5	recover	recover	VBP
cord-328957-mzi8504f	154	6	or	or	CC
cord-328957-mzi8504f	154	7	die	die	VBP
cord-328957-mzi8504f	154	8	from	from	IN
cord-328957-mzi8504f	154	9	the	the	DT
cord-328957-mzi8504f	154	10	disease	disease	NN
cord-328957-mzi8504f	154	11	after	after	IN
cord-328957-mzi8504f	154	12	period	period	NN
cord-328957-mzi8504f	154	13	γ	γ	NNP
cord-328957-mzi8504f	154	14	a	a	NN
cord-328957-mzi8504f	154	15	.	.	.
cord-328957-mzi8504f	155	1	Finally	finally	RB
cord-328957-mzi8504f	155	2	,	,	,
cord-328957-mzi8504f	155	3	children	child	NNS
cord-328957-mzi8504f	155	4	grow	grow	VBP
cord-328957-mzi8504f	155	5	170	170	CD
cord-328957-mzi8504f	155	6	and	and	CC
cord-328957-mzi8504f	155	7	pass	pass	VB
cord-328957-mzi8504f	155	8	from	from	IN
cord-328957-mzi8504f	155	9	the	the	DT
cord-328957-mzi8504f	155	10	children	child	NNS
cord-328957-mzi8504f	155	11	's	's	POS
cord-328957-mzi8504f	155	12	age	age	NN
cord-328957-mzi8504f	155	13	-	-	HYPH
cord-328957-mzi8504f	155	14	class	class	NN
cord-328957-mzi8504f	155	15	to	to	IN
cord-328957-mzi8504f	155	16	the	the	DT
cord-328957-mzi8504f	155	17	adult	adult	NN
cord-328957-mzi8504f	155	18	's	's	POS
cord-328957-mzi8504f	155	19	age	age	NN
cord-328957-mzi8504f	155	20	-	-	HYPH
cord-328957-mzi8504f	155	21	class	class	NN
cord-328957-mzi8504f	155	22	with	with	IN
cord-328957-mzi8504f	155	23	transition	transition	NN
cord-328957-mzi8504f	155	24	rate	rate	NN
cord-328957-mzi8504f	155	25	α	α	NN
cord-328957-mzi8504f	155	26	,	,	,
cord-328957-mzi8504f	155	27	171	171	CD
cord-328957-mzi8504f	155	28	added	add	VBD
cord-328957-mzi8504f	155	29	to	to	IN
cord-328957-mzi8504f	155	30	the	the	DT
cord-328957-mzi8504f	155	31	adult	adult	NN
cord-328957-mzi8504f	155	32	's	's	POS
cord-328957-mzi8504f	155	33	age	age	NN
cord-328957-mzi8504f	155	34	-	-	HYPH
cord-328957-mzi8504f	155	35	class	class	NN
cord-328957-mzi8504f	155	36	.	.	.
cord-328957-mzi8504f	156	1	While	while	IN
cord-328957-mzi8504f	156	2	the	the	DT
cord-328957-mzi8504f	156	3	last	last	JJ
cord-328957-mzi8504f	156	4	process	process	NN
cord-328957-mzi8504f	156	5	has	have	VBZ
cord-328957-mzi8504f	156	6	a	a	DT
cord-328957-mzi8504f	156	7	minor	minor	JJ
cord-328957-mzi8504f	156	8	impact	impact	NN
cord-328957-mzi8504f	156	9	relative	relative	JJ
cord-328957-mzi8504f	156	10	to	to	IN
cord-328957-mzi8504f	156	11	the	the	DT
cord-328957-mzi8504f	156	12	172	172	CD
cord-328957-mzi8504f	156	13	first	first	JJ
cord-328957-mzi8504f	156	14	three	three	CD
cord-328957-mzi8504f	156	15	processes	process	NNS
cord-328957-mzi8504f	156	16	,	,	,
cord-328957-mzi8504f	156	17	we	-PRON-	PRP
cord-328957-mzi8504f	156	18	do	do	VBP
cord-328957-mzi8504f	156	19	not	not	RB
cord-328957-mzi8504f	156	20	neglect	neglect	VB
cord-328957-mzi8504f	156	21	it	-PRON-	PRP
cord-328957-mzi8504f	156	22	to	to	TO
cord-328957-mzi8504f	156	23	count	count	VB
cord-328957-mzi8504f	156	24	edge	edge	NN
cord-328957-mzi8504f	156	25	-	-	HYPH
cord-328957-mzi8504f	156	26	cases	case	NNS
cord-328957-mzi8504f	156	27	.	.	.
cord-328957-mzi8504f	157	1	In	in	IN
cord-328957-mzi8504f	157	2	Eq	Eq	NNP
cord-328957-mzi8504f	157	3	(	(	-LRB-
cord-328957-mzi8504f	157	4	5	5	CD
cord-328957-mzi8504f	157	5	)	)	-RRB-
cord-328957-mzi8504f	157	6	,	,	,
cord-328957-mzi8504f	157	7	dRc(t	dRc(t	NNP
cord-328957-mzi8504f	157	8	)	)	-RRB-
cord-328957-mzi8504f	157	9	dt	dt	NNP
cord-328957-mzi8504f	157	10	is	be	VBZ
cord-328957-mzi8504f	157	11	the	the	DT
cord-328957-mzi8504f	157	12	dynamical	dynamical	JJ
cord-328957-mzi8504f	157	13	amount	amount	NN
cord-328957-mzi8504f	157	14	of	of	IN
cord-328957-mzi8504f	157	15	recovered	recover	VBN
cord-328957-mzi8504f	157	16	individual	individual	JJ
cord-328957-mzi8504f	157	17	children	child	NNS
cord-328957-mzi8504f	157	18	over	over	IN
cord-328957-mzi8504f	157	19	174	174	CD
cord-328957-mzi8504f	157	20	time	time	NN
cord-328957-mzi8504f	157	21	.	.	.
cord-328957-mzi8504f	158	1	It	-PRON-	PRP
cord-328957-mzi8504f	158	2	is	be	VBZ
cord-328957-mzi8504f	158	3	affected	affect	VBN
cord-328957-mzi8504f	158	4	by	by	IN
cord-328957-mzi8504f	158	5	the	the	DT
cord-328957-mzi8504f	158	6	following	follow	VBG
cord-328957-mzi8504f	158	7	two	two	CD
cord-328957-mzi8504f	158	8	terms	term	NNS
cord-328957-mzi8504f	158	9	.	.	.
cord-328957-mzi8504f	159	1	First	first	RB
cord-328957-mzi8504f	159	2	,	,	,
cord-328957-mzi8504f	159	3	in	in	IN
cord-328957-mzi8504f	159	4	each	each	DT
cord-328957-mzi8504f	159	5	point	point	NN
cord-328957-mzi8504f	159	6	,	,	,
cord-328957-mzi8504f	159	7	a	a	DT
cord-328957-mzi8504f	159	8	portion	portion	NN
cord-328957-mzi8504f	159	9	of	of	IN
cord-328957-mzi8504f	159	10	the	the	DT
cord-328957-mzi8504f	159	11	175	175	CD
cord-328957-mzi8504f	159	12	infected	infected	JJ
cord-328957-mzi8504f	159	13	children	child	NNS
cord-328957-mzi8504f	159	14	recover	recover	VBP
cord-328957-mzi8504f	159	15	after	after	IN
cord-328957-mzi8504f	159	16	period	period	NN
cord-328957-mzi8504f	159	17	γ	γ	NN
cord-328957-mzi8504f	159	18	c	c	NN
cord-328957-mzi8504f	159	19	which	which	WDT
cord-328957-mzi8504f	159	20	is	be	VBZ
cord-328957-mzi8504f	159	21	multiplied	multiply	VBN
cord-328957-mzi8504f	159	22	by	by	IN
cord-328957-mzi8504f	159	23	the	the	DT
cord-328957-mzi8504f	159	24	rate	rate	NN
cord-328957-mzi8504f	159	25	of	of	IN
cord-328957-mzi8504f	159	26	children	child	NNS
cord-328957-mzi8504f	159	27	176	176	CD
cord-328957-mzi8504f	159	28	that	that	WDT
cord-328957-mzi8504f	159	29	do	do	VBP
cord-328957-mzi8504f	159	30	recover	recover	VB
cord-328957-mzi8504f	159	31	from	from	IN
cord-328957-mzi8504f	159	32	the	the	DT
cord-328957-mzi8504f	159	33	disease	disease	NN
cord-328957-mzi8504f	160	1	ρ	ρ	NNP
cord-328957-mzi8504f	160	2	c	c	NNP
cord-328957-mzi8504f	160	3	.	.	.
cord-328957-mzi8504f	161	1	Second	second	JJ
cord-328957-mzi8504f	161	2	,	,	,
cord-328957-mzi8504f	161	3	children	child	NNS
cord-328957-mzi8504f	161	4	grow	grow	VBP
cord-328957-mzi8504f	161	5	from	from	IN
cord-328957-mzi8504f	161	6	birth	birth	NN
cord-328957-mzi8504f	161	7	and	and	CC
cord-328957-mzi8504f	161	8	pass	pass	VB
cord-328957-mzi8504f	161	9	from	from	IN
cord-328957-mzi8504f	161	10	177	177	CD
cord-328957-mzi8504f	161	11	the	the	DT
cord-328957-mzi8504f	161	12	children	child	NNS
cord-328957-mzi8504f	161	13	's	's	POS
cord-328957-mzi8504f	161	14	age	age	NN
cord-328957-mzi8504f	161	15	-	-	HYPH
cord-328957-mzi8504f	161	16	class	class	NN
cord-328957-mzi8504f	161	17	to	to	IN
cord-328957-mzi8504f	161	18	the	the	DT
cord-328957-mzi8504f	161	19	adult	adult	NN
cord-328957-mzi8504f	161	20	age	age	NN
cord-328957-mzi8504f	161	21	-	-	HYPH
cord-328957-mzi8504f	161	22	class	class	NN
cord-328957-mzi8504f	161	23	with	with	IN
cord-328957-mzi8504f	161	24	transition	transition	NN
cord-328957-mzi8504f	161	25	rate	rate	NN
cord-328957-mzi8504f	161	26	α	α	NN
cord-328957-mzi8504f	161	27	,	,	,
cord-328957-mzi8504f	161	28	reduced	reduce	VBN
cord-328957-mzi8504f	161	29	from	from	IN
cord-328957-mzi8504f	161	30	the	the	DT
cord-328957-mzi8504f	161	31	178	178	CD
cord-328957-mzi8504f	161	32	children	child	NNS
cord-328957-mzi8504f	161	33	's	's	POS
cord-328957-mzi8504f	161	34	age	age	NN
cord-328957-mzi8504f	161	35	-	-	HYPH
cord-328957-mzi8504f	161	36	class	class	NN
cord-328957-mzi8504f	161	37	.	.	.
cord-328957-mzi8504f	162	1	In	in	IN
cord-328957-mzi8504f	162	2	Eq	Eq	NNP
cord-328957-mzi8504f	162	3	(	(	-LRB-
cord-328957-mzi8504f	162	4	6	6	CD
cord-328957-mzi8504f	162	5	)	)	-RRB-
cord-328957-mzi8504f	162	6	,	,	,
cord-328957-mzi8504f	162	7	dRa(t	dRa(t	NNP
cord-328957-mzi8504f	162	8	)	)	-RRB-
cord-328957-mzi8504f	162	9	dt	dt	NNP
cord-328957-mzi8504f	162	10	is	be	VBZ
cord-328957-mzi8504f	162	11	the	the	DT
cord-328957-mzi8504f	162	12	dynamical	dynamical	JJ
cord-328957-mzi8504f	162	13	amount	amount	NN
cord-328957-mzi8504f	162	14	of	of	IN
cord-328957-mzi8504f	162	15	recovered	recover	VBN
cord-328957-mzi8504f	162	16	adult	adult	NN
cord-328957-mzi8504f	162	17	individuals	individual	NNS
cord-328957-mzi8504f	162	18	over	over	IN
cord-328957-mzi8504f	162	19	time	time	NN
cord-328957-mzi8504f	162	20	.	.	.
cord-328957-mzi8504f	163	1	180	180	CD
cord-328957-mzi8504f	164	1	It	-PRON-	PRP
cord-328957-mzi8504f	164	2	is	be	VBZ
cord-328957-mzi8504f	164	3	affected	affect	VBN
cord-328957-mzi8504f	164	4	by	by	IN
cord-328957-mzi8504f	164	5	the	the	DT
cord-328957-mzi8504f	164	6	following	follow	VBG
cord-328957-mzi8504f	164	7	two	two	CD
cord-328957-mzi8504f	164	8	terms	term	NNS
cord-328957-mzi8504f	164	9	.	.	.
cord-328957-mzi8504f	165	1	First	first	RB
cord-328957-mzi8504f	165	2	,	,	,
cord-328957-mzi8504f	165	3	in	in	IN
cord-328957-mzi8504f	165	4	each	each	DT
cord-328957-mzi8504f	165	5	point	point	NN
cord-328957-mzi8504f	165	6	,	,	,
cord-328957-mzi8504f	165	7	a	a	DT
cord-328957-mzi8504f	165	8	portion	portion	NN
cord-328957-mzi8504f	165	9	of	of	IN
cord-328957-mzi8504f	165	10	the	the	DT
cord-328957-mzi8504f	165	11	infected	infected	JJ
cord-328957-mzi8504f	165	12	181	181	CD
cord-328957-mzi8504f	165	13	adults	adult	NNS
cord-328957-mzi8504f	165	14	recover	recover	VBP
cord-328957-mzi8504f	165	15	after	after	IN
cord-328957-mzi8504f	165	16	period	period	NN
cord-328957-mzi8504f	165	17	γ	γ	NN
cord-328957-mzi8504f	165	18	a	a	NN
cord-328957-mzi8504f	165	19	which	which	WDT
cord-328957-mzi8504f	165	20	is	be	VBZ
cord-328957-mzi8504f	165	21	multiplied	multiply	VBN
cord-328957-mzi8504f	165	22	by	by	IN
cord-328957-mzi8504f	165	23	the	the	DT
cord-328957-mzi8504f	165	24	rate	rate	NN
cord-328957-mzi8504f	165	25	of	of	IN
cord-328957-mzi8504f	165	26	adults	adult	NNS
cord-328957-mzi8504f	165	27	that	that	WDT
cord-328957-mzi8504f	165	28	do	do	VBP
cord-328957-mzi8504f	165	29	recover	recover	VB
cord-328957-mzi8504f	165	30	182	182	CD
cord-328957-mzi8504f	165	31	from	from	IN
cord-328957-mzi8504f	165	32	the	the	DT
cord-328957-mzi8504f	165	33	disease	disease	NN
cord-328957-mzi8504f	165	34	ρ	ρ	NNP
cord-328957-mzi8504f	165	35	a	a	NN
cord-328957-mzi8504f	165	36	.	.	.
cord-328957-mzi8504f	166	1	Second	second	JJ
cord-328957-mzi8504f	166	2	,	,	,
cord-328957-mzi8504f	166	3	children	child	NNS
cord-328957-mzi8504f	166	4	grow	grow	VBP
cord-328957-mzi8504f	166	5	from	from	IN
cord-328957-mzi8504f	166	6	birth	birth	NN
cord-328957-mzi8504f	166	7	and	and	CC
cord-328957-mzi8504f	166	8	pass	pass	VB
cord-328957-mzi8504f	166	9	from	from	IN
cord-328957-mzi8504f	166	10	the	the	DT
cord-328957-mzi8504f	166	11	children	child	NNS
cord-328957-mzi8504f	166	12	's	's	POS
cord-328957-mzi8504f	166	13	183	183	CD
cord-328957-mzi8504f	166	14	age	age	NN
cord-328957-mzi8504f	166	15	-	-	HYPH
cord-328957-mzi8504f	166	16	class	class	NN
cord-328957-mzi8504f	166	17	to	to	IN
cord-328957-mzi8504f	166	18	the	the	DT
cord-328957-mzi8504f	166	19	adult	adult	NN
cord-328957-mzi8504f	166	20	age	age	NN
cord-328957-mzi8504f	166	21	-	-	HYPH
cord-328957-mzi8504f	166	22	class	class	NN
cord-328957-mzi8504f	166	23	with	with	IN
cord-328957-mzi8504f	166	24	transition	transition	NN
cord-328957-mzi8504f	166	25	rate	rate	NN
cord-328957-mzi8504f	166	26	α	α	NN
cord-328957-mzi8504f	166	27	,	,	,
cord-328957-mzi8504f	166	28	added	add	VBD
cord-328957-mzi8504f	166	29	to	to	IN
cord-328957-mzi8504f	166	30	the	the	DT
cord-328957-mzi8504f	166	31	adult	adult	NN
cord-328957-mzi8504f	166	32	age	age	NN
cord-328957-mzi8504f	166	33	-	-	HYPH
cord-328957-mzi8504f	166	34	class	class	NN
cord-328957-mzi8504f	166	35	.	.	.
cord-328957-mzi8504f	167	1	In	in	IN
cord-328957-mzi8504f	167	2	Eq	Eq	NNP
cord-328957-mzi8504f	167	3	(	(	-LRB-
cord-328957-mzi8504f	167	4	7	7	CD
cord-328957-mzi8504f	167	5	)	)	-RRB-
cord-328957-mzi8504f	167	6	,	,	,
cord-328957-mzi8504f	167	7	dDc(t	dDc(t	NNP
cord-328957-mzi8504f	167	8	)	)	-RRB-
cord-328957-mzi8504f	167	9	dt	dt	NNP
cord-328957-mzi8504f	167	10	is	be	VBZ
cord-328957-mzi8504f	167	11	the	the	DT
cord-328957-mzi8504f	167	12	dynamical	dynamical	JJ
cord-328957-mzi8504f	167	13	amount	amount	NN
cord-328957-mzi8504f	167	14	of	of	IN
cord-328957-mzi8504f	167	15	dead	dead	JJ
cord-328957-mzi8504f	167	16	individual	individual	JJ
cord-328957-mzi8504f	167	17	children	child	NNS
cord-328957-mzi8504f	167	18	over	over	IN
cord-328957-mzi8504f	167	19	time	time	NN
cord-328957-mzi8504f	167	20	.	.	.
cord-328957-mzi8504f	168	1	It	-PRON-	PRP
cord-328957-mzi8504f	168	2	185	185	CD
cord-328957-mzi8504f	168	3	is	be	VBZ
cord-328957-mzi8504f	168	4	affected	affect	VBN
cord-328957-mzi8504f	168	5	by	by	IN
cord-328957-mzi8504f	168	6	the	the	DT
cord-328957-mzi8504f	168	7	portion	portion	NN
cord-328957-mzi8504f	168	8	of	of	IN
cord-328957-mzi8504f	168	9	the	the	DT
cord-328957-mzi8504f	168	10	infected	infected	JJ
cord-328957-mzi8504f	168	11	children	child	NNS
cord-328957-mzi8504f	168	12	that	that	WDT
cord-328957-mzi8504f	168	13	do	do	VBP
cord-328957-mzi8504f	168	14	not	not	RB
cord-328957-mzi8504f	168	15	recover	recover	VB
cord-328957-mzi8504f	168	16	after	after	IN
cord-328957-mzi8504f	168	17	period	period	NN
cord-328957-mzi8504f	168	18	γ	γ	NN
cord-328957-mzi8504f	168	19	c	c	NN
cord-328957-mzi8504f	168	20	186	186	CD
cord-328957-mzi8504f	168	21	which	which	WDT
cord-328957-mzi8504f	168	22	is	be	VBZ
cord-328957-mzi8504f	168	23	multiplied	multiply	VBN
cord-328957-mzi8504f	168	24	by	by	IN
cord-328957-mzi8504f	168	25	the	the	DT
cord-328957-mzi8504f	168	26	rate	rate	NN
cord-328957-mzi8504f	168	27	of	of	IN
cord-328957-mzi8504f	168	28	children	child	NNS
cord-328957-mzi8504f	168	29	that	that	WDT
cord-328957-mzi8504f	168	30	do	do	VBP
cord-328957-mzi8504f	168	31	not	not	RB
cord-328957-mzi8504f	168	32	recover	recover	VB
cord-328957-mzi8504f	168	33	from	from	IN
cord-328957-mzi8504f	168	34	the	the	DT
cord-328957-mzi8504f	168	35	disease	disease	NN
cord-328957-mzi8504f	168	36	ψ	ψ	NN
cord-328957-mzi8504f	168	37	c	c	NNP
cord-328957-mzi8504f	168	38	.	.	.
cord-328957-mzi8504f	169	1	is	be	VBZ
cord-328957-mzi8504f	169	2	the	the	DT
cord-328957-mzi8504f	169	3	dynamical	dynamical	JJ
cord-328957-mzi8504f	169	4	amount	amount	NN
cord-328957-mzi8504f	169	5	of	of	IN
cord-328957-mzi8504f	169	6	dead	dead	JJ
cord-328957-mzi8504f	169	7	adult	adult	NN
cord-328957-mzi8504f	169	8	individuals	individual	NNS
cord-328957-mzi8504f	169	9	over	over	IN
cord-328957-mzi8504f	169	10	time	time	NN
cord-328957-mzi8504f	169	11	.	.	.
cord-328957-mzi8504f	170	1	It	-PRON-	PRP
cord-328957-mzi8504f	170	2	is	be	VBZ
cord-328957-mzi8504f	170	3	188	188	CD
cord-328957-mzi8504f	170	4	affected	affect	VBN
cord-328957-mzi8504f	170	5	by	by	IN
cord-328957-mzi8504f	170	6	a	a	DT
cord-328957-mzi8504f	170	7	portion	portion	NN
cord-328957-mzi8504f	170	8	of	of	IN
cord-328957-mzi8504f	170	9	the	the	DT
cord-328957-mzi8504f	170	10	infected	infected	JJ
cord-328957-mzi8504f	170	11	adult	adult	NN
cord-328957-mzi8504f	170	12	that	that	WDT
cord-328957-mzi8504f	170	13	do	do	VBP
cord-328957-mzi8504f	170	14	not	not	RB
cord-328957-mzi8504f	170	15	recover	recover	VB
cord-328957-mzi8504f	170	16	after	after	IN
cord-328957-mzi8504f	170	17	period	period	NN
cord-328957-mzi8504f	170	18	γ	γ	NN
cord-328957-mzi8504f	170	19	a	a	NN
cord-328957-mzi8504f	170	20	which	which	WDT
cord-328957-mzi8504f	170	21	is	be	VBZ
cord-328957-mzi8504f	170	22	189	189	CD
cord-328957-mzi8504f	170	23	multiplied	multiply	VBN
cord-328957-mzi8504f	170	24	by	by	IN
cord-328957-mzi8504f	170	25	the	the	DT
cord-328957-mzi8504f	170	26	rate	rate	NN
cord-328957-mzi8504f	170	27	of	of	IN
cord-328957-mzi8504f	170	28	adults	adult	NNS
cord-328957-mzi8504f	170	29	that	that	WDT
cord-328957-mzi8504f	170	30	do	do	VBP
cord-328957-mzi8504f	170	31	not	not	RB
cord-328957-mzi8504f	170	32	recover	recover	VB
cord-328957-mzi8504f	170	33	from	from	IN
cord-328957-mzi8504f	170	34	the	the	DT
cord-328957-mzi8504f	170	35	disease	disease	NN
cord-328957-mzi8504f	170	36	ψ	ψ	NNP
cord-328957-mzi8504f	170	37	a	a	NNP
cord-328957-mzi8504f	170	38	.	.	.
cord-328957-mzi8504f	171	1	It	-PRON-	PRP
cord-328957-mzi8504f	171	2	should	should	MD
cord-328957-mzi8504f	171	3	be	be	VB
cord-328957-mzi8504f	171	4	noted	note	VBN
cord-328957-mzi8504f	171	5	that	that	IN
cord-328957-mzi8504f	171	6	both	both	DT
cord-328957-mzi8504f	171	7	Eq	Eq	NNP
cord-328957-mzi8504f	171	8	(	(	-LRB-
cord-328957-mzi8504f	171	9	7	7	CD
cord-328957-mzi8504f	171	10	)	)	-RRB-
cord-328957-mzi8504f	171	11	and	and	CC
cord-328957-mzi8504f	171	12	(	(	-LRB-
cord-328957-mzi8504f	171	13	8)	8)	NNP
cord-328957-mzi8504f	171	14	can	can	MD
cord-328957-mzi8504f	171	15	be	be	VB
cord-328957-mzi8504f	171	16	presented	present	VBN
cord-328957-mzi8504f	171	17	as	as	IN
cord-328957-mzi8504f	171	18	one	one	CD
cord-328957-mzi8504f	171	19	equation	equation	NN
cord-328957-mzi8504f	171	20	as	as	IN
cord-328957-mzi8504f	171	21	D	D	NNP
cord-328957-mzi8504f	171	22	a	a	NNP
cord-328957-mzi8504f	171	23	and	and	CC
cord-328957-mzi8504f	171	24	D	D	NNP
cord-328957-mzi8504f	171	25	c	c	NN
cord-328957-mzi8504f	171	26	are	be	VBP
cord-328957-mzi8504f	171	27	accumulative	accumulative	JJ
cord-328957-mzi8504f	171	28	populations	population	NNS
cord-328957-mzi8504f	171	29	which	which	WDT
cord-328957-mzi8504f	171	30	do	do	VBP
cord-328957-mzi8504f	171	31	not	not	RB
cord-328957-mzi8504f	171	32	infect	infect	VB
cord-328957-mzi8504f	171	33	the	the	DT
cord-328957-mzi8504f	171	34	dynamics	dynamic	NNS
cord-328957-mzi8504f	171	35	separately	separately	RB
cord-328957-mzi8504f	171	36	.	.	.
cord-328957-mzi8504f	172	1	192	192	CD
cord-328957-mzi8504f	173	1	Nevertheless	nevertheless	RB
cord-328957-mzi8504f	173	2	,	,	,
cord-328957-mzi8504f	173	3	to	to	TO
cord-328957-mzi8504f	173	4	provide	provide	VB
cord-328957-mzi8504f	173	5	a	a	DT
cord-328957-mzi8504f	173	6	better	well	JJR
cord-328957-mzi8504f	173	7	representation	representation	NN
cord-328957-mzi8504f	173	8	of	of	IN
cord-328957-mzi8504f	173	9	the	the	DT
cord-328957-mzi8504f	173	10	age	age	NN
cord-328957-mzi8504f	173	11	-	-	HYPH
cord-328957-mzi8504f	173	12	based	base	VBN
cord-328957-mzi8504f	173	13	death	death	NN
cord-328957-mzi8504f	173	14	in	in	IN
cord-328957-mzi8504f	173	15	the	the	DT
cord-328957-mzi8504f	173	16	epidemic	epidemic	NN
cord-328957-mzi8504f	173	17	,	,	,
cord-328957-mzi8504f	173	18	193	193	CD
cord-328957-mzi8504f	173	19	we	-PRON-	PRP
cord-328957-mzi8504f	173	20	chose	choose	VBD
cord-328957-mzi8504f	173	21	to	to	TO
cord-328957-mzi8504f	173	22	divide	divide	VB
cord-328957-mzi8504f	173	23	the	the	DT
cord-328957-mzi8504f	173	24	dead	dead	JJ
cord-328957-mzi8504f	173	25	individuals	individual	NNS
cord-328957-mzi8504f	173	26	into	into	IN
cord-328957-mzi8504f	173	27	the	the	DT
cord-328957-mzi8504f	173	28	same	same	JJ
cord-328957-mzi8504f	173	29	age	age	NN
cord-328957-mzi8504f	173	30	-	-	HYPH
cord-328957-mzi8504f	173	31	groups	group	NNS
cord-328957-mzi8504f	173	32	which	which	WDT
cord-328957-mzi8504f	173	33	allows	allow	VBZ
cord-328957-mzi8504f	173	34	later	later	RB
cord-328957-mzi8504f	173	35	194	194	CD
cord-328957-mzi8504f	173	36	analysis	analysis	NN
cord-328957-mzi8504f	173	37	of	of	IN
cord-328957-mzi8504f	173	38	the	the	DT
cord-328957-mzi8504f	173	39	death	death	NN
cord-328957-mzi8504f	173	40	of	of	IN
cord-328957-mzi8504f	173	41	children	child	NNS
cord-328957-mzi8504f	173	42	and	and	CC
cord-328957-mzi8504f	173	43	adults	adult	NNS
cord-328957-mzi8504f	173	44	separately	separately	RB
cord-328957-mzi8504f	173	45	.	.	.
cord-328957-mzi8504f	174	1	In	in	IN
cord-328957-mzi8504f	174	2	summary	summary	NN
cord-328957-mzi8504f	174	3	,	,	,
cord-328957-mzi8504f	174	4	the	the	DT
cord-328957-mzi8504f	174	5	interactions	interaction	NNS
cord-328957-mzi8504f	174	6	195	195	CD
cord-328957-mzi8504f	174	7	between	between	IN
cord-328957-mzi8504f	174	8	disease	disease	NN
cord-328957-mzi8504f	174	9	stages	stage	NNS
cord-328957-mzi8504f	174	10	presented	present	VBN
cord-328957-mzi8504f	174	11	in	in	IN
cord-328957-mzi8504f	174	12	Fig	Fig	NNP
cord-328957-mzi8504f	174	13	1	1	CD
cord-328957-mzi8504f	174	14	are	be	VBP
cord-328957-mzi8504f	174	15	modelled	model	VBN
cord-328957-mzi8504f	174	16	by	by	IN
cord-328957-mzi8504f	174	17	the	the	DT
cord-328957-mzi8504f	174	18	following	follow	VBG
cord-328957-mzi8504f	174	19	system	system	NN
cord-328957-mzi8504f	174	20	of	of	IN
cord-328957-mzi8504f	174	21	eight	eight	CD
cord-328957-mzi8504f	174	22	196	196	CD
cord-328957-mzi8504f	174	23	coupled	couple	VBN
cord-328957-mzi8504f	174	24	ordinary	ordinary	JJ
cord-328957-mzi8504f	174	25	differential	differential	JJ
cord-328957-mzi8504f	174	26	equations	equation	NNS
cord-328957-mzi8504f	174	27	(	(	-LRB-
cord-328957-mzi8504f	174	28	ODE	ode	NN
cord-328957-mzi8504f	174	29	)	)	-RRB-
cord-328957-mzi8504f	175	1	Eq	Eq	NNP
cord-328957-mzi8504f	175	2	(	(	-LRB-
cord-328957-mzi8504f	175	3	9	9	CD
cord-328957-mzi8504f	175	4	)	)	-RRB-
cord-328957-mzi8504f	175	5	with	with	IN
cord-328957-mzi8504f	175	6	initial	initial	JJ
cord-328957-mzi8504f	175	7	conditions	condition	NNS
cord-328957-mzi8504f	175	8	at	at	IN
cord-328957-mzi8504f	175	9	t	t	NN
cord-328957-mzi8504f	175	10	=	=	SYM
cord-328957-mzi8504f	175	11	0	0	CD
cord-328957-mzi8504f	175	12	,	,	,
cord-328957-mzi8504f	175	13	197	197	CD
cord-328957-mzi8504f	175	14	Eq	eq	NN
cord-328957-mzi8504f	175	15	(	(	-LRB-
cord-328957-mzi8504f	175	16	10	10	CD
cord-328957-mzi8504f	175	17	)	)	-RRB-
cord-328957-mzi8504f	175	18	as	as	IN
cord-328957-mzi8504f	175	19	:	:	:
cord-328957-mzi8504f	175	20	November	November	NNP
cord-328957-mzi8504f	175	21	2	2	CD
cord-328957-mzi8504f	175	22	,	,	,
cord-328957-mzi8504f	175	23	2020	2020	CD
cord-328957-mzi8504f	175	24	7/28	7/28	CD
cord-328957-mzi8504f	175	25	.	.	.
cord-328957-mzi8504f	176	1	CC	CC	NNP
cord-328957-mzi8504f	176	2	-	-	HYPH
cord-328957-mzi8504f	176	3	BY	BY	NNP
cord-328957-mzi8504f	176	4	-	-	HYPH
cord-328957-mzi8504f	176	5	NC	NC	NNP
cord-328957-mzi8504f	176	6	-	-	HYPH
cord-328957-mzi8504f	176	7	ND	ND	NNP
cord-328957-mzi8504f	176	8	4.0	4.0	CD
cord-328957-mzi8504f	176	9	International	international	JJ
cord-328957-mzi8504f	176	10	license	license	NN
cord-328957-mzi8504f	177	1	It	-PRON-	PRP
cord-328957-mzi8504f	177	2	is	be	VBZ
cord-328957-mzi8504f	177	3	made	make	VBN
cord-328957-mzi8504f	177	4	available	available	JJ
cord-328957-mzi8504f	177	5	under	under	IN
cord-328957-mzi8504f	177	6	a	a	DT
cord-328957-mzi8504f	178	1	is	be	VBZ
cord-328957-mzi8504f	178	2	the	the	DT
cord-328957-mzi8504f	178	3	author	author	NN
cord-328957-mzi8504f	178	4	/	/	SYM
cord-328957-mzi8504f	178	5	funder	funder	NN
cord-328957-mzi8504f	178	6	,	,	,
cord-328957-mzi8504f	178	7	who	who	WP
cord-328957-mzi8504f	178	8	has	have	VBZ
cord-328957-mzi8504f	178	9	granted	grant	VBN
cord-328957-mzi8504f	178	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	178	11	a	a	DT
cord-328957-mzi8504f	178	12	license	license	NN
cord-328957-mzi8504f	178	13	to	to	TO
cord-328957-mzi8504f	178	14	display	display	VB
cord-328957-mzi8504f	178	15	the	the	DT
cord-328957-mzi8504f	178	16	preprint	preprint	NN
cord-328957-mzi8504f	178	17	in	in	IN
cord-328957-mzi8504f	178	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	178	19	.	.	.
cord-328957-mzi8504f	179	1	The	the	DT
cord-328957-mzi8504f	179	2	copyright	copyright	NN
cord-328957-mzi8504f	179	3	holder	holder	NN
cord-328957-mzi8504f	179	4	for	for	IN
cord-328957-mzi8504f	179	5	this	this	DT
cord-328957-mzi8504f	179	6	preprint	preprint	NN
cord-328957-mzi8504f	179	7	this	this	DT
cord-328957-mzi8504f	179	8	version	version	NN
cord-328957-mzi8504f	179	9	posted	post	VBN
cord-328957-mzi8504f	179	10	November	November	NNP
cord-328957-mzi8504f	179	11	4	4	CD
cord-328957-mzi8504f	179	12	,	,	,
cord-328957-mzi8504f	179	13	2020	2020	CD
cord-328957-mzi8504f	179	14	.	.	.
cord-328957-mzi8504f	180	1	;	;	:
cord-328957-mzi8504f	180	2	.	.	.
cord-328957-mzi8504f	181	1	The	the	DT
cord-328957-mzi8504f	181	2	parameters	parameter	NNS
cord-328957-mzi8504f	181	3	used	use	VBN
cord-328957-mzi8504f	181	4	in	in	IN
cord-328957-mzi8504f	181	5	the	the	DT
cord-328957-mzi8504f	181	6	calculation	calculation	NN
cord-328957-mzi8504f	181	7	of	of	IN
cord-328957-mzi8504f	181	8	the	the	DT
cord-328957-mzi8504f	181	9	model	model	NN
cord-328957-mzi8504f	181	10	throughout	throughout	IN
cord-328957-mzi8504f	181	11	the	the	DT
cord-328957-mzi8504f	181	12	paper	paper	NN
cord-328957-mzi8504f	181	13	are	be	VBP
cord-328957-mzi8504f	181	14	199	199	CD
cord-328957-mzi8504f	181	15	presented	present	VBN
cord-328957-mzi8504f	181	16	in	in	IN
cord-328957-mzi8504f	181	17	Table	Table	NNP
cord-328957-mzi8504f	181	18	.	.	.
cord-328957-mzi8504f	182	1	1	1	LS
cord-328957-mzi8504f	182	2	.	.	.
cord-328957-mzi8504f	183	1	The	the	DT
cord-328957-mzi8504f	183	2	values	value	NNS
cord-328957-mzi8504f	183	3	are	be	VBP
cord-328957-mzi8504f	183	4	cited	cite	VBN
cord-328957-mzi8504f	183	5	from	from	IN
cord-328957-mzi8504f	183	6	the	the	DT
cord-328957-mzi8504f	183	7	sources	source	NNS
cord-328957-mzi8504f	183	8	themselves	-PRON-	PRP
cord-328957-mzi8504f	183	9	except	except	IN
cord-328957-mzi8504f	183	10	A	a	NN
cord-328957-mzi8504f	183	11	and	and	CC
cord-328957-mzi8504f	183	12	β	β	NN
cord-328957-mzi8504f	183	13	ca	ca	NN
cord-328957-mzi8504f	183	14	200	200	CD
cord-328957-mzi8504f	183	15	calculated	calculate	VBN
cord-328957-mzi8504f	183	16	from	from	IN
cord-328957-mzi8504f	183	17	the	the	DT
cord-328957-mzi8504f	183	18	data	datum	NNS
cord-328957-mzi8504f	183	19	of	of	IN
cord-328957-mzi8504f	183	20	the	the	DT
cord-328957-mzi8504f	183	21	correlated	correlate	VBN
cord-328957-mzi8504f	183	22	source	source	NN
cord-328957-mzi8504f	183	23	[	[	-LRB-
cord-328957-mzi8504f	183	24	6	6	CD
cord-328957-mzi8504f	183	25	,	,	,
cord-328957-mzi8504f	183	26	17	17	CD
cord-328957-mzi8504f	183	27	]	]	-RRB-
cord-328957-mzi8504f	183	28	.	.	.
cord-328957-mzi8504f	184	1	The	the	DT
cord-328957-mzi8504f	184	2	threshold	threshold	NN
cord-328957-mzi8504f	184	3	of	of	IN
cord-328957-mzi8504f	184	4	the	the	DT
cord-328957-mzi8504f	184	5	children	child	NNS
cord-328957-mzi8504f	184	6	's	's	POS
cord-328957-mzi8504f	184	7	201	201	CD
cord-328957-mzi8504f	184	8	age	age	NN
cord-328957-mzi8504f	184	9	to	to	TO
cord-328957-mzi8504f	184	10	become	become	VB
cord-328957-mzi8504f	184	11	adults	adult	NNS
cord-328957-mzi8504f	184	12	in	in	IN
cord-328957-mzi8504f	184	13	parameter	parameter	NN
cord-328957-mzi8504f	184	14	A	a	NN
cord-328957-mzi8504f	184	15	is	be	VBZ
cord-328957-mzi8504f	184	16	set	set	VBN
cord-328957-mzi8504f	184	17	to	to	IN
cord-328957-mzi8504f	184	18	13	13	CD
cord-328957-mzi8504f	184	19	year	year	NN
cord-328957-mzi8504f	184	20	as	as	IN
cord-328957-mzi8504f	184	21	the	the	DT
cord-328957-mzi8504f	184	22	mean	mean	JJ
cord-328957-mzi8504f	184	23	value	value	NN
cord-328957-mzi8504f	184	24	of	of	IN
cord-328957-mzi8504f	184	25	the	the	DT
cord-328957-mzi8504f	184	26	group	group	NN
cord-328957-mzi8504f	184	27	202	202	CD
cord-328957-mzi8504f	184	28	of	of	IN
cord-328957-mzi8504f	184	29	ages	age	NNS
cord-328957-mzi8504f	184	30	in	in	IN
cord-328957-mzi8504f	184	31	which	which	WDT
cord-328957-mzi8504f	184	32	the	the	DT
cord-328957-mzi8504f	184	33	percentage	percentage	NN
cord-328957-mzi8504f	184	34	of	of	IN
cord-328957-mzi8504f	184	35	critical	critical	JJ
cord-328957-mzi8504f	184	36	cases	case	NNS
cord-328957-mzi8504f	184	37	relative	relative	JJ
cord-328957-mzi8504f	184	38	to	to	IN
cord-328957-mzi8504f	184	39	all	all	DT
cord-328957-mzi8504f	184	40	cases	case	NNS
cord-328957-mzi8504f	184	41	is	be	VBZ
cord-328957-mzi8504f	184	42	the	the	DT
cord-328957-mzi8504f	184	43	highest	high	JJS
cord-328957-mzi8504f	184	44	as	as	IN
cord-328957-mzi8504f	184	45	203	203	CD
cord-328957-mzi8504f	184	46	reported	report	VBN
cord-328957-mzi8504f	184	47	by	by	IN
cord-328957-mzi8504f	184	48	Dong	Dong	NNP
cord-328957-mzi8504f	184	49	et	et	FW
cord-328957-mzi8504f	184	50	al	al	NNP
cord-328957-mzi8504f	184	51	.	.	.
cord-328957-mzi8504f	185	1	[	[	-LRB-
cord-328957-mzi8504f	185	2	6	6	CD
cord-328957-mzi8504f	185	3	]	]	-RRB-
cord-328957-mzi8504f	185	4	(	(	-LRB-
cord-328957-mzi8504f	185	5	Table	table	NN
cord-328957-mzi8504f	185	6	2	2	CD
cord-328957-mzi8504f	185	7	)	)	-RRB-
cord-328957-mzi8504f	185	8	.	.	.
cord-328957-mzi8504f	186	1	The	the	DT
cord-328957-mzi8504f	186	2	susceptible	susceptible	JJ
cord-328957-mzi8504f	186	3	contacts	contact	NNS
cord-328957-mzi8504f	186	4	in	in	IN
cord-328957-mzi8504f	186	5	children	child	NNS
cord-328957-mzi8504f	186	6	who	who	WP
cord-328957-mzi8504f	186	7	become	become	VBP
cord-328957-mzi8504f	186	8	204	204	CD
cord-328957-mzi8504f	186	9	infected	infect	VBN
cord-328957-mzi8504f	186	10	due	due	IN
cord-328957-mzi8504f	186	11	to	to	IN
cord-328957-mzi8504f	186	12	direct	direct	JJ
cord-328957-mzi8504f	186	13	disease	disease	NN
cord-328957-mzi8504f	186	14	transmission	transmission	NN
cord-328957-mzi8504f	186	15	from	from	IN
cord-328957-mzi8504f	186	16	an	an	DT
cord-328957-mzi8504f	186	17	adult	adult	NN
cord-328957-mzi8504f	186	18	β	β	NN
cord-328957-mzi8504f	186	19	ca	ca	MD
cord-328957-mzi8504f	186	20	are	be	VBP
cord-328957-mzi8504f	186	21	calculated	calculate	VBN
cord-328957-mzi8504f	186	22	based	base	VBN
cord-328957-mzi8504f	186	23	on	on	IN
cord-328957-mzi8504f	186	24	205	205	CD
cord-328957-mzi8504f	186	25	data	datum	NNS
cord-328957-mzi8504f	186	26	of	of	IN
cord-328957-mzi8504f	186	27	10	10	CD
cord-328957-mzi8504f	186	28	children	child	NNS
cord-328957-mzi8504f	186	29	.	.	.
cord-328957-mzi8504f	187	1	Eight	eight	CD
cord-328957-mzi8504f	187	2	children	child	NNS
cord-328957-mzi8504f	187	3	out	out	IN
cord-328957-mzi8504f	187	4	of	of	IN
cord-328957-mzi8504f	187	5	the	the	DT
cord-328957-mzi8504f	187	6	10	10	CD
cord-328957-mzi8504f	187	7	have	have	VBP
cord-328957-mzi8504f	187	8	been	be	VBN
cord-328957-mzi8504f	187	9	exposed	expose	VBN
cord-328957-mzi8504f	187	10	to	to	IN
cord-328957-mzi8504f	187	11	30	30	CD
cord-328957-mzi8504f	187	12	adults	adult	NNS
cord-328957-mzi8504f	187	13	in	in	IN
cord-328957-mzi8504f	187	14	total	total	JJ
cord-328957-mzi8504f	187	15	206	206	CD
cord-328957-mzi8504f	187	16	and	and	CC
cord-328957-mzi8504f	187	17	later	later	RB
cord-328957-mzi8504f	187	18	found	find	VBD
cord-328957-mzi8504f	187	19	to	to	TO
cord-328957-mzi8504f	187	20	be	be	VB
cord-328957-mzi8504f	187	21	infected	infect	VBN
cord-328957-mzi8504f	187	22	,	,	,
cord-328957-mzi8504f	187	23	as	as	IN
cord-328957-mzi8504f	187	24	reported	report	VBN
cord-328957-mzi8504f	187	25	by	by	IN
cord-328957-mzi8504f	187	26	Cai	Cai	NNP
cord-328957-mzi8504f	187	27	et	et	FW
cord-328957-mzi8504f	187	28	al	al	NNP
cord-328957-mzi8504f	187	29	.	.	.
cord-328957-mzi8504f	188	1	[	[	-LRB-
cord-328957-mzi8504f	188	2	17	17	CD
cord-328957-mzi8504f	188	3	]	]	-RRB-
cord-328957-mzi8504f	188	4	.	.	.
cord-328957-mzi8504f	189	1	Therefore	therefore	RB
cord-328957-mzi8504f	189	2	,	,	,
cord-328957-mzi8504f	189	3	the	the	DT
cord-328957-mzi8504f	189	4	infected	infected	JJ
cord-328957-mzi8504f	189	5	207	207	CD
cord-328957-mzi8504f	189	6	rate	rate	NN
cord-328957-mzi8504f	189	7	is	be	VBZ
cord-328957-mzi8504f	189	8	set	set	VBN
cord-328957-mzi8504f	189	9	to	to	IN
cord-328957-mzi8504f	189	10	8	8	CD
cord-328957-mzi8504f	189	11	30	30	CD
cord-328957-mzi8504f	189	12	=	=	SYM
cord-328957-mzi8504f	189	13	0.266	0.266	CD
cord-328957-mzi8504f	189	14	.	.	.
cord-328957-mzi8504f	190	1	Numerical	numerical	JJ
cord-328957-mzi8504f	190	2	solution	solution	NN
cord-328957-mzi8504f	191	1	To	to	TO
cord-328957-mzi8504f	191	2	obtain	obtain	VB
cord-328957-mzi8504f	191	3	a	a	DT
cord-328957-mzi8504f	191	4	better	well	JJR
cord-328957-mzi8504f	191	5	understanding	understanding	NN
cord-328957-mzi8504f	191	6	of	of	IN
cord-328957-mzi8504f	191	7	how	how	WRB
cord-328957-mzi8504f	191	8	different	different	JJ
cord-328957-mzi8504f	191	9	parameter	parameter	NN
cord-328957-mzi8504f	191	10	values	value	NNS
cord-328957-mzi8504f	191	11	influence	influence	VBP
cord-328957-mzi8504f	191	12	the	the	DT
cord-328957-mzi8504f	191	13	system	system	NN
cord-328957-mzi8504f	191	14	210	210	CD
cord-328957-mzi8504f	191	15	dynamics	dynamic	NNS
cord-328957-mzi8504f	191	16	,	,	,
cord-328957-mzi8504f	191	17	we	-PRON-	PRP
cord-328957-mzi8504f	191	18	illustrate	illustrate	VBP
cord-328957-mzi8504f	191	19	the	the	DT
cord-328957-mzi8504f	191	20	behavior	behavior	NN
cord-328957-mzi8504f	191	21	of	of	IN
cord-328957-mzi8504f	191	22	the	the	DT
cord-328957-mzi8504f	191	23	system	system	NN
cord-328957-mzi8504f	191	24	using	use	VBG
cord-328957-mzi8504f	191	25	numerical	numerical	JJ
cord-328957-mzi8504f	191	26	analysis	analysis	NN
cord-328957-mzi8504f	191	27	.	.	.
cord-328957-mzi8504f	192	1	and	and	CC
cord-328957-mzi8504f	192	2	D	D	NNP
cord-328957-mzi8504f	192	3	a	a	NNP
cord-328957-mzi8504f	192	4	(	(	-LRB-
cord-328957-mzi8504f	192	5	t	t	NN
cord-328957-mzi8504f	192	6	)	)	-RRB-
cord-328957-mzi8504f	192	7	)	)	-RRB-
cord-328957-mzi8504f	192	8	.	.	.
cord-328957-mzi8504f	193	1	We	-PRON-	PRP
cord-328957-mzi8504f	193	2	processed	process	VBD
cord-328957-mzi8504f	193	3	eight	eight	CD
cord-328957-mzi8504f	193	4	-	-	HYPH
cord-328957-mzi8504f	193	5	order	order	NN
cord-328957-mzi8504f	193	6	Runge	Runge	NNP
cord-328957-mzi8504f	193	7	-	-	HYPH
cord-328957-mzi8504f	193	8	Kutta	Kutta	NNP
cord-328957-mzi8504f	193	9	integration	integration	NN
cord-328957-mzi8504f	193	10	on	on	IN
cord-328957-mzi8504f	193	11	214	214	CD
cord-328957-mzi8504f	193	12	the	the	DT
cord-328957-mzi8504f	193	13	differential	differential	JJ
cord-328957-mzi8504f	193	14	system	system	NN
cord-328957-mzi8504f	193	15	to	to	TO
cord-328957-mzi8504f	193	16	enable	enable	VB
cord-328957-mzi8504f	193	17	numerical	numerical	JJ
cord-328957-mzi8504f	193	18	simulations	simulation	NNS
cord-328957-mzi8504f	193	19	.	.	.
cord-328957-mzi8504f	194	1	Runge	Runge	NNP
cord-328957-mzi8504f	194	2	-	-	HYPH
cord-328957-mzi8504f	194	3	Kutta	Kutta	NNP
cord-328957-mzi8504f	194	4	integration	integration	NN
cord-328957-mzi8504f	194	5	of	of	IN
cord-328957-mzi8504f	194	6	215	215	CD
cord-328957-mzi8504f	194	7	the	the	DT
cord-328957-mzi8504f	194	8	equations	equation	NNS
cord-328957-mzi8504f	194	9	was	be	VBD
cord-328957-mzi8504f	194	10	implemented	implement	VBN
cord-328957-mzi8504f	194	11	by	by	IN
cord-328957-mzi8504f	194	12	Octave	Octave	NNP
cord-328957-mzi8504f	194	13	programming	programming	NN
cord-328957-mzi8504f	194	14	(	(	-LRB-
cord-328957-mzi8504f	194	15	version	version	NN
cord-328957-mzi8504f	194	16	5.2.0	5.2.0	CD
cord-328957-mzi8504f	194	17	)	)	-RRB-
cord-328957-mzi8504f	194	18	,	,	,
cord-328957-mzi8504f	194	19	using	use	VBG
cord-328957-mzi8504f	194	20	standard	standard	JJ
cord-328957-mzi8504f	194	21	216	216	CD
cord-328957-mzi8504f	194	22	program	program	NN
cord-328957-mzi8504f	194	23	lsode	lsode	NNP
cord-328957-mzi8504f	194	24	,	,	,
cord-328957-mzi8504f	194	25	for	for	IN
cord-328957-mzi8504f	194	26	a	a	DT
cord-328957-mzi8504f	194	27	set	set	NN
cord-328957-mzi8504f	194	28	of	of	IN
cord-328957-mzi8504f	194	29	initial	initial	JJ
cord-328957-mzi8504f	194	30	conditions	condition	NNS
cord-328957-mzi8504f	194	31	described	describe	VBN
cord-328957-mzi8504f	194	32	in	in	IN
cord-328957-mzi8504f	194	33	Eq	Eq	NNP
cord-328957-mzi8504f	194	34	(	(	-LRB-
cord-328957-mzi8504f	194	35	10	10	CD
cord-328957-mzi8504f	194	36	)	)	-RRB-
cord-328957-mzi8504f	194	37	.	.	.
cord-328957-mzi8504f	195	1	The	the	DT
cord-328957-mzi8504f	195	2	solutions	solution	NNS
cord-328957-mzi8504f	195	3	of	of	IN
cord-328957-mzi8504f	195	4	the	the	DT
cord-328957-mzi8504f	195	5	system	system	NN
cord-328957-mzi8504f	195	6	(	(	-LRB-
cord-328957-mzi8504f	195	7	9	9	CD
cord-328957-mzi8504f	195	8	-	-	SYM
cord-328957-mzi8504f	195	9	10	10	CD
cord-328957-mzi8504f	195	10	)	)	-RRB-
cord-328957-mzi8504f	195	11	are	be	VBP
cord-328957-mzi8504f	195	12	shown	show	VBN
cord-328957-mzi8504f	195	13	in	in	IN
cord-328957-mzi8504f	195	14	Fig	Fig	NNP
cord-328957-mzi8504f	195	15	3	3	CD
cord-328957-mzi8504f	195	16	.	.	.
cord-328957-mzi8504f	196	1	In	in	IN
cord-328957-mzi8504f	196	2	addition	addition	NN
cord-328957-mzi8504f	196	3	,	,	,
cord-328957-mzi8504f	196	4	the	the	DT
cord-328957-mzi8504f	196	5	population	population	NN
cord-328957-mzi8504f	196	6	218	218	CD
cord-328957-mzi8504f	196	7	size	size	NN
cord-328957-mzi8504f	196	8	,	,	,
cord-328957-mzi8504f	196	9	adults	adult	NNS
cord-328957-mzi8504f	196	10	,	,	,
cord-328957-mzi8504f	196	11	and	and	CC
cord-328957-mzi8504f	196	12	children	child	NNS
cord-328957-mzi8504f	196	13	are	be	VBP
cord-328957-mzi8504f	196	14	set	set	VBN
cord-328957-mzi8504f	196	15	to	to	TO
cord-328957-mzi8504f	196	16	be	be	VB
cord-328957-mzi8504f	196	17	N	n	NN
cord-328957-mzi8504f	196	18	=	=	SYM
cord-328957-mzi8504f	196	19	8000000	8000000	CD
cord-328957-mzi8504f	196	20	,	,	,
cord-328957-mzi8504f	196	21	N	n	CD
cord-328957-mzi8504f	196	22	c	c	NN
cord-328957-mzi8504f	196	23	=	=	SYM
cord-328957-mzi8504f	196	24	2240000	2240000	CD
cord-328957-mzi8504f	196	25	,	,	,
cord-328957-mzi8504f	196	26	N	N	NNP
cord-328957-mzi8504f	196	27	a	a	NN
cord-328957-mzi8504f	196	28	=	=	SYM
cord-328957-mzi8504f	196	29	5760000	5760000	CD
cord-328957-mzi8504f	196	30	to	to	IN
cord-328957-mzi8504f	196	31	219	219	CD
cord-328957-mzi8504f	196	32	present	present	VB
cord-328957-mzi8504f	196	33	the	the	DT
cord-328957-mzi8504f	196	34	distribution	distribution	NN
cord-328957-mzi8504f	196	35	of	of	IN
cord-328957-mzi8504f	196	36	the	the	DT
cord-328957-mzi8504f	196	37	Israeli	israeli	JJ
cord-328957-mzi8504f	196	38	population	population	NN
cord-328957-mzi8504f	196	39	in	in	IN
cord-328957-mzi8504f	196	40	2017	2017	CD
cord-328957-mzi8504f	196	41	as	as	IN
cord-328957-mzi8504f	196	42	published	publish	VBN
cord-328957-mzi8504f	196	43	by	by	IN
cord-328957-mzi8504f	196	44	the	the	DT
cord-328957-mzi8504f	196	45	Israeli	israeli	JJ
cord-328957-mzi8504f	196	46	220	220	CD
cord-328957-mzi8504f	196	47	November	November	NNP
cord-328957-mzi8504f	196	48	2	2	CD
cord-328957-mzi8504f	196	49	,	,	,
cord-328957-mzi8504f	196	50	2020	2020	CD
cord-328957-mzi8504f	196	51	8/28	8/28	CD
cord-328957-mzi8504f	196	52	.	.	.
cord-328957-mzi8504f	197	1	CC	CC	NNP
cord-328957-mzi8504f	197	2	-	-	HYPH
cord-328957-mzi8504f	197	3	BY	BY	NNP
cord-328957-mzi8504f	197	4	-	-	HYPH
cord-328957-mzi8504f	197	5	NC	NC	NNP
cord-328957-mzi8504f	197	6	-	-	HYPH
cord-328957-mzi8504f	197	7	ND	ND	NNP
cord-328957-mzi8504f	197	8	4.0	4.0	CD
cord-328957-mzi8504f	197	9	International	international	JJ
cord-328957-mzi8504f	197	10	license	license	NN
cord-328957-mzi8504f	198	1	It	-PRON-	PRP
cord-328957-mzi8504f	198	2	is	be	VBZ
cord-328957-mzi8504f	198	3	made	make	VBN
cord-328957-mzi8504f	198	4	available	available	JJ
cord-328957-mzi8504f	198	5	under	under	IN
cord-328957-mzi8504f	198	6	a	a	DT
cord-328957-mzi8504f	199	1	is	be	VBZ
cord-328957-mzi8504f	199	2	the	the	DT
cord-328957-mzi8504f	199	3	author	author	NN
cord-328957-mzi8504f	199	4	/	/	SYM
cord-328957-mzi8504f	199	5	funder	funder	NN
cord-328957-mzi8504f	199	6	,	,	,
cord-328957-mzi8504f	199	7	who	who	WP
cord-328957-mzi8504f	199	8	has	have	VBZ
cord-328957-mzi8504f	199	9	granted	grant	VBN
cord-328957-mzi8504f	199	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	199	11	a	a	DT
cord-328957-mzi8504f	199	12	license	license	NN
cord-328957-mzi8504f	199	13	to	to	TO
cord-328957-mzi8504f	199	14	display	display	VB
cord-328957-mzi8504f	199	15	the	the	DT
cord-328957-mzi8504f	199	16	preprint	preprint	NN
cord-328957-mzi8504f	199	17	in	in	IN
cord-328957-mzi8504f	199	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	199	19	.	.	.
cord-328957-mzi8504f	200	1	The	the	DT
cord-328957-mzi8504f	200	2	copyright	copyright	NN
cord-328957-mzi8504f	200	3	holder	holder	NN
cord-328957-mzi8504f	200	4	for	for	IN
cord-328957-mzi8504f	200	5	this	this	DT
cord-328957-mzi8504f	200	6	preprint	preprint	NN
cord-328957-mzi8504f	200	7	this	this	DT
cord-328957-mzi8504f	200	8	version	version	NN
cord-328957-mzi8504f	200	9	posted	post	VBN
cord-328957-mzi8504f	200	10	November	November	NNP
cord-328957-mzi8504f	200	11	4	4	CD
cord-328957-mzi8504f	200	12	,	,	,
cord-328957-mzi8504f	200	13	2020	2020	CD
cord-328957-mzi8504f	200	14	.	.	.
cord-328957-mzi8504f	201	1	;	;	:
cord-328957-mzi8504f	201	2	 	 	_SP
cord-328957-mzi8504f	201	3	where	where	WRB
cord-328957-mzi8504f	201	4	the	the	DT
cord-328957-mzi8504f	201	5	x	x	NN
cord-328957-mzi8504f	201	6	-	-	HYPH
cord-328957-mzi8504f	201	7	axis	axis	NN
cord-328957-mzi8504f	201	8	in	in	IN
cord-328957-mzi8504f	201	9	all	all	DT
cord-328957-mzi8504f	201	10	eight	eight	CD
cord-328957-mzi8504f	201	11	graphs	graph	NNS
cord-328957-mzi8504f	201	12	represents	represent	VBZ
cord-328957-mzi8504f	201	13	the	the	DT
cord-328957-mzi8504f	201	14	222	222	CD
cord-328957-mzi8504f	201	15	time	time	NN
cord-328957-mzi8504f	201	16	(	(	-LRB-
cord-328957-mzi8504f	201	17	in	in	IN
cord-328957-mzi8504f	201	18	days	day	NNS
cord-328957-mzi8504f	201	19	)	)	-RRB-
cord-328957-mzi8504f	201	20	that	that	WDT
cord-328957-mzi8504f	201	21	has	have	VBZ
cord-328957-mzi8504f	201	22	passed	pass	VBN
cord-328957-mzi8504f	201	23	from	from	IN
cord-328957-mzi8504f	201	24	the	the	DT
cord-328957-mzi8504f	201	25	beginning	beginning	NN
cord-328957-mzi8504f	201	26	of	of	IN
cord-328957-mzi8504f	201	27	the	the	DT
cord-328957-mzi8504f	201	28	dynamics	dynamic	NNS
cord-328957-mzi8504f	201	29	and	and	CC
cord-328957-mzi8504f	201	30	the	the	DT
cord-328957-mzi8504f	201	31	y	y	NN
cord-328957-mzi8504f	201	32	-	-	HYPH
cord-328957-mzi8504f	201	33	axis	axis	NN
cord-328957-mzi8504f	201	34	is	be	VBZ
cord-328957-mzi8504f	201	35	the	the	DT
cord-328957-mzi8504f	201	36	223	223	CD
cord-328957-mzi8504f	201	37	size	size	NN
cord-328957-mzi8504f	201	38	of	of	IN
cord-328957-mzi8504f	201	39	each	each	DT
cord-328957-mzi8504f	201	40	population	population	NN
cord-328957-mzi8504f	201	41	,	,	,
cord-328957-mzi8504f	201	42	respectively	respectively	RB
cord-328957-mzi8504f	201	43	.	.	.
cord-328957-mzi8504f	202	1	A	a	DT
cord-328957-mzi8504f	202	2	maximum	maximum	NN
cord-328957-mzi8504f	202	3	in	in	IN
cord-328957-mzi8504f	202	4	the	the	DT
cord-328957-mzi8504f	202	5	percent	percent	NN
cord-328957-mzi8504f	202	6	of	of	IN
cord-328957-mzi8504f	202	7	infected	infected	JJ
cord-328957-mzi8504f	202	8	children	child	NNS
cord-328957-mzi8504f	202	9	and	and	CC
cord-328957-mzi8504f	202	10	224	224	CD
cord-328957-mzi8504f	202	11	adults	adult	NNS
cord-328957-mzi8504f	202	12	(	(	-LRB-
cord-328957-mzi8504f	202	13	39	39	CD
cord-328957-mzi8504f	202	14	%	%	NN
cord-328957-mzi8504f	202	15	,	,	,
cord-328957-mzi8504f	202	16	89	89	CD
cord-328957-mzi8504f	202	17	%	%	NN
cord-328957-mzi8504f	202	18	)	)	-RRB-
cord-328957-mzi8504f	202	19	is	be	VBZ
cord-328957-mzi8504f	202	20	reached	reach	VBN
cord-328957-mzi8504f	202	21	in	in	IN
cord-328957-mzi8504f	202	22	the	the	DT
cord-328957-mzi8504f	202	23	8th	8th	JJ
cord-328957-mzi8504f	202	24	and	and	CC
cord-328957-mzi8504f	202	25	11th	11th	JJ
cord-328957-mzi8504f	202	26	days	day	NNS
cord-328957-mzi8504f	202	27	as	as	IN
cord-328957-mzi8504f	202	28	shown	show	VBN
cord-328957-mzi8504f	202	29	in	in	IN
cord-328957-mzi8504f	202	30	Fig	Fig	NNP
cord-328957-mzi8504f	202	31	3	3	CD
cord-328957-mzi8504f	202	32	.	.	.
cord-328957-mzi8504f	203	1	Therefore	therefore	RB
cord-328957-mzi8504f	203	2	,	,	,
cord-328957-mzi8504f	203	3	the	the	DT
cord-328957-mzi8504f	203	4	225	225	CD
cord-328957-mzi8504f	203	5	maximum	maximum	JJ
cord-328957-mzi8504f	203	6	infected	infected	JJ
cord-328957-mzi8504f	203	7	population	population	NN
cord-328957-mzi8504f	203	8	was	be	VBD
cord-328957-mzi8504f	203	9	89	89	CD
cord-328957-mzi8504f	203	10	%	%	NN
cord-328957-mzi8504f	203	11	of	of	IN
cord-328957-mzi8504f	203	12	the	the	DT
cord-328957-mzi8504f	203	13	whole	whole	JJ
cord-328957-mzi8504f	203	14	population	population	NN
cord-328957-mzi8504f	203	15	.	.	.
cord-328957-mzi8504f	204	1	Besides	besides	RB
cord-328957-mzi8504f	204	2	,	,	,
cord-328957-mzi8504f	204	3	all	all	DT
cord-328957-mzi8504f	204	4	children	child	NNS
cord-328957-mzi8504f	204	5	226	226	CD
cord-328957-mzi8504f	204	6	infected	infect	VBN
cord-328957-mzi8504f	204	7	and	and	CC
cord-328957-mzi8504f	204	8	recovered	recover	VBN
cord-328957-mzi8504f	204	9	after	after	IN
cord-328957-mzi8504f	204	10	17	17	CD
cord-328957-mzi8504f	204	11	days	day	NNS
cord-328957-mzi8504f	204	12	while	while	IN
cord-328957-mzi8504f	204	13	all	all	DT
cord-328957-mzi8504f	204	14	adults	adult	NNS
cord-328957-mzi8504f	204	15	recovered	recover	VBD
cord-328957-mzi8504f	204	16	after	after	IN
cord-328957-mzi8504f	204	17	82	82	CD
cord-328957-mzi8504f	204	18	days	day	NNS
cord-328957-mzi8504f	204	19	.	.	.
cord-328957-mzi8504f	205	1	In	in	IN
cord-328957-mzi8504f	205	2	epidemiology	epidemiology	NN
cord-328957-mzi8504f	205	3	,	,	,
cord-328957-mzi8504f	205	4	it	-PRON-	PRP
cord-328957-mzi8504f	205	5	is	be	VBZ
cord-328957-mzi8504f	205	6	essential	essential	JJ
cord-328957-mzi8504f	205	7	to	to	TO
cord-328957-mzi8504f	205	8	quantify	quantify	VB
cord-328957-mzi8504f	205	9	the	the	DT
cord-328957-mzi8504f	205	10	severity	severity	NN
cord-328957-mzi8504f	205	11	of	of	IN
cord-328957-mzi8504f	205	12	outbreaks	outbreak	NNS
cord-328957-mzi8504f	205	13	of	of	IN
cord-328957-mzi8504f	205	14	infectious	infectious	JJ
cord-328957-mzi8504f	205	15	diseases	disease	NNS
cord-328957-mzi8504f	205	16	.	.	.
cord-328957-mzi8504f	206	1	229	229	CD
cord-328957-mzi8504f	207	1	The	the	DT
cord-328957-mzi8504f	207	2	standard	standard	JJ
cord-328957-mzi8504f	207	3	parameter	parameter	NN
cord-328957-mzi8504f	207	4	indicates	indicate	VBZ
cord-328957-mzi8504f	207	5	the	the	DT
cord-328957-mzi8504f	207	6	severity	severity	NN
cord-328957-mzi8504f	207	7	called	call	VBN
cord-328957-mzi8504f	207	8	the	the	DT
cord-328957-mzi8504f	207	9	basic	basic	JJ
cord-328957-mzi8504f	207	10	reproduction	reproduction	NN
cord-328957-mzi8504f	207	11	number	number	NN
cord-328957-mzi8504f	207	12	R	r	NN
cord-328957-mzi8504f	207	13	0	0	CD
cord-328957-mzi8504f	207	14	.	.	.
cord-328957-mzi8504f	208	1	230	230	CD
cord-328957-mzi8504f	209	1	In	in	IN
cord-328957-mzi8504f	209	2	the	the	DT
cord-328957-mzi8504f	209	3	standard	standard	JJ
cord-328957-mzi8504f	209	4	SIR	SIR	NNP
cord-328957-mzi8504f	209	5	model	model	NN
cord-328957-mzi8504f	209	6	[	[	-LRB-
cord-328957-mzi8504f	209	7	22	22	CD
cord-328957-mzi8504f	209	8	]	]	-RRB-
cord-328957-mzi8504f	209	9	,	,	,
cord-328957-mzi8504f	209	10	R	r	NN
cord-328957-mzi8504f	209	11	0	0	CD
cord-328957-mzi8504f	209	12	is	be	VBZ
cord-328957-mzi8504f	209	13	defined	define	VBN
cord-328957-mzi8504f	209	14	to	to	TO
cord-328957-mzi8504f	209	15	be	be	VB
cord-328957-mzi8504f	209	16	the	the	DT
cord-328957-mzi8504f	209	17	ratio	ratio	NN
cord-328957-mzi8504f	209	18	between	between	IN
cord-328957-mzi8504f	209	19	individual	individual	JJ
cord-328957-mzi8504f	209	20	infection	infection	NN
cord-328957-mzi8504f	209	21	231	231	CD
cord-328957-mzi8504f	209	22	rate	rate	NN
cord-328957-mzi8504f	209	23	and	and	CC
cord-328957-mzi8504f	209	24	recovery	recovery	NN
cord-328957-mzi8504f	209	25	rate	rate	NN
cord-328957-mzi8504f	209	26	,	,	,
cord-328957-mzi8504f	209	27	where	where	WRB
cord-328957-mzi8504f	209	28	almost	almost	RB
cord-328957-mzi8504f	209	29	everyone	everyone	NN
cord-328957-mzi8504f	209	30	is	be	VBZ
cord-328957-mzi8504f	209	31	susceptible	susceptible	JJ
cord-328957-mzi8504f	209	32	(	(	-LRB-
cord-328957-mzi8504f	209	33	namely	namely	RB
cord-328957-mzi8504f	209	34	,	,	,
cord-328957-mzi8504f	209	35	S	s	NN
cord-328957-mzi8504f	209	36	c	c	NN
cord-328957-mzi8504f	209	37	+	+	CC
cord-328957-mzi8504f	209	38	S	S	NNP
cord-328957-mzi8504f	209	39	a	a	DT
cord-328957-mzi8504f	209	40	∼	∼	NNP
cord-328957-mzi8504f	209	41	N	n	CD
cord-328957-mzi8504f	209	42	)	)	-RRB-
cord-328957-mzi8504f	209	43	.	.	.
cord-328957-mzi8504f	210	1	For	for	IN
cord-328957-mzi8504f	210	2	232	232	CD
cord-328957-mzi8504f	210	3	any	any	DT
cord-328957-mzi8504f	210	4	start	start	NN
cord-328957-mzi8504f	210	5	condition	condition	NN
cord-328957-mzi8504f	210	6	and	and	CC
cord-328957-mzi8504f	210	7	parameters	parameter	NNS
cord-328957-mzi8504f	210	8	,	,	,
cord-328957-mzi8504f	210	9	at	at	IN
cord-328957-mzi8504f	210	10	t	t	NN
cord-328957-mzi8504f	210	11	→	→	WDT
cord-328957-mzi8504f	210	12	∞	∞	NNP
cord-328957-mzi8504f	210	13	the	the	DT
cord-328957-mzi8504f	210	14	model	model	NN
cord-328957-mzi8504f	210	15	's	's	POS
cord-328957-mzi8504f	210	16	state	state	NN
cord-328957-mzi8504f	210	17	is	be	VBZ
cord-328957-mzi8504f	210	18	an	an	DT
cord-328957-mzi8504f	210	19	instance	instance	NN
cord-328957-mzi8504f	210	20	of	of	IN
cord-328957-mzi8504f	210	21	Eq	Eq	NNP
cord-328957-mzi8504f	210	22	233	233	CD
cord-328957-mzi8504f	210	23	(	(	-LRB-
cord-328957-mzi8504f	210	24	10	10	CD
cord-328957-mzi8504f	210	25	)	)	-RRB-
cord-328957-mzi8504f	210	26	according	accord	VBG
cord-328957-mzi8504f	210	27	to	to	IN
cord-328957-mzi8504f	210	28	Lemma	Lemma	NNP
cord-328957-mzi8504f	210	29	1	1	CD
cord-328957-mzi8504f	210	30	.	.	.
cord-328957-mzi8504f	211	1	Definition	definition	NN
cord-328957-mzi8504f	211	2	1	1	CD
cord-328957-mzi8504f	211	3	.	.	.
cord-328957-mzi8504f	212	1	The	the	DT
cord-328957-mzi8504f	212	2	model	model	NN
cord-328957-mzi8504f	212	3	's	's	POS
cord-328957-mzi8504f	212	4	state	state	NN
cord-328957-mzi8504f	212	5	at	at	IN
cord-328957-mzi8504f	212	6	time	time	NN
cord-328957-mzi8504f	213	1	t	t	NNP
cord-328957-mzi8504f	213	2	is	be	VBZ
cord-328957-mzi8504f	213	3	defined	define	VBN
cord-328957-mzi8504f	213	4	by	by	IN
cord-328957-mzi8504f	213	5	where	where	WRB
cord-328957-mzi8504f	213	6	g	g	NNP
cord-328957-mzi8504f	213	7	is	be	VBZ
cord-328957-mzi8504f	213	8	a	a	DT
cord-328957-mzi8504f	213	9	function	function	NN
cord-328957-mzi8504f	213	10	g	g	NN
cord-328957-mzi8504f	213	11	:	:	:
cord-328957-mzi8504f	213	12	November	November	NNP
cord-328957-mzi8504f	213	13	2	2	CD
cord-328957-mzi8504f	213	14	,	,	,
cord-328957-mzi8504f	213	15	2020	2020	CD
cord-328957-mzi8504f	213	16	9/28	9/28	CD
cord-328957-mzi8504f	213	17	.	.	.
cord-328957-mzi8504f	214	1	CC	CC	NNP
cord-328957-mzi8504f	214	2	-	-	HYPH
cord-328957-mzi8504f	214	3	BY	BY	NNP
cord-328957-mzi8504f	214	4	-	-	HYPH
cord-328957-mzi8504f	214	5	NC	NC	NNP
cord-328957-mzi8504f	214	6	-	-	HYPH
cord-328957-mzi8504f	214	7	ND	ND	NNP
cord-328957-mzi8504f	214	8	4.0	4.0	CD
cord-328957-mzi8504f	214	9	International	international	JJ
cord-328957-mzi8504f	214	10	license	license	NN
cord-328957-mzi8504f	214	11	It	-PRON-	PRP
cord-328957-mzi8504f	214	12	is	be	VBZ
cord-328957-mzi8504f	214	13	made	make	VBN
cord-328957-mzi8504f	214	14	available	available	JJ
cord-328957-mzi8504f	214	15	under	under	IN
cord-328957-mzi8504f	214	16	a	a	DT
cord-328957-mzi8504f	215	1	is	be	VBZ
cord-328957-mzi8504f	215	2	the	the	DT
cord-328957-mzi8504f	215	3	author	author	NN
cord-328957-mzi8504f	215	4	/	/	SYM
cord-328957-mzi8504f	215	5	funder	funder	NN
cord-328957-mzi8504f	215	6	,	,	,
cord-328957-mzi8504f	215	7	who	who	WP
cord-328957-mzi8504f	215	8	has	have	VBZ
cord-328957-mzi8504f	215	9	granted	grant	VBN
cord-328957-mzi8504f	215	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	215	11	a	a	DT
cord-328957-mzi8504f	215	12	license	license	NN
cord-328957-mzi8504f	215	13	to	to	TO
cord-328957-mzi8504f	215	14	display	display	VB
cord-328957-mzi8504f	215	15	the	the	DT
cord-328957-mzi8504f	215	16	preprint	preprint	NN
cord-328957-mzi8504f	215	17	in	in	IN
cord-328957-mzi8504f	215	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	215	19	.	.	.
cord-328957-mzi8504f	216	1	The	the	DT
cord-328957-mzi8504f	216	2	copyright	copyright	NN
cord-328957-mzi8504f	216	3	holder	holder	NN
cord-328957-mzi8504f	216	4	for	for	IN
cord-328957-mzi8504f	216	5	this	this	DT
cord-328957-mzi8504f	216	6	preprint	preprint	NN
cord-328957-mzi8504f	216	7	this	this	DT
cord-328957-mzi8504f	216	8	version	version	NN
cord-328957-mzi8504f	216	9	posted	post	VBN
cord-328957-mzi8504f	216	10	November	November	NNP
cord-328957-mzi8504f	216	11	4	4	CD
cord-328957-mzi8504f	216	12	,	,	,
cord-328957-mzi8504f	216	13	2020	2020	CD
cord-328957-mzi8504f	216	14	.	.	.
cord-328957-mzi8504f	216	15	;	;	:
cord-328957-mzi8504f	216	16	Table	table	NN
cord-328957-mzi8504f	216	17	.	.	.
cord-328957-mzi8504f	217	1	1	1	LS
cord-328957-mzi8504f	217	2	.	.	.
cord-328957-mzi8504f	218	1	The	the	DT
cord-328957-mzi8504f	218	2	graphs	graph	NNS
cord-328957-mzi8504f	218	3	show	show	VBP
cord-328957-mzi8504f	218	4	the	the	DT
cord-328957-mzi8504f	218	5	evolution	evolution	NN
cord-328957-mzi8504f	218	6	in	in	IN
cord-328957-mzi8504f	218	7	time	time	NN
cord-328957-mzi8504f	218	8	(	(	-LRB-
cord-328957-mzi8504f	218	9	days	day	NNS
cord-328957-mzi8504f	218	10	)	)	-RRB-
cord-328957-mzi8504f	218	11	of	of	IN
cord-328957-mzi8504f	218	12	S	S	NNP
cord-328957-mzi8504f	218	13	c	c	NN
cord-328957-mzi8504f	218	14	(	(	-LRB-
cord-328957-mzi8504f	218	15	t	t	NNP
cord-328957-mzi8504f	218	16	)	)	-RRB-
cord-328957-mzi8504f	218	17	,	,	,
cord-328957-mzi8504f	218	18	S	S	NNP
cord-328957-mzi8504f	218	19	a	a	LS
cord-328957-mzi8504f	218	20	(	(	-LRB-
cord-328957-mzi8504f	218	21	t	t	NN
cord-328957-mzi8504f	218	22	)	)	-RRB-
cord-328957-mzi8504f	218	23	,	,	.
cord-328957-mzi8504f	219	1	I	-PRON-	PRP
cord-328957-mzi8504f	219	2	c	c	NNP
cord-328957-mzi8504f	219	3	(	(	-LRB-
cord-328957-mzi8504f	219	4	t	t	NNP
cord-328957-mzi8504f	219	5	)	)	-RRB-
cord-328957-mzi8504f	219	6	,	,	.
cord-328957-mzi8504f	220	1	I	-PRON-	PRP
cord-328957-mzi8504f	220	2	a	a	DT
cord-328957-mzi8504f	220	3	(	(	-LRB-
cord-328957-mzi8504f	220	4	t	t	NN
cord-328957-mzi8504f	220	5	)	)	-RRB-
cord-328957-mzi8504f	220	6	,	,	,
cord-328957-mzi8504f	220	7	R	r	NN
cord-328957-mzi8504f	220	8	c	c	NN
cord-328957-mzi8504f	220	9	(	(	-LRB-
cord-328957-mzi8504f	220	10	t	t	NNP
cord-328957-mzi8504f	220	11	)	)	-RRB-
cord-328957-mzi8504f	220	12	,	,	,
cord-328957-mzi8504f	220	13	R	R	NNP
cord-328957-mzi8504f	220	14	a	a	DT
cord-328957-mzi8504f	220	15	(	(	-LRB-
cord-328957-mzi8504f	220	16	t	t	NN
cord-328957-mzi8504f	220	17	)	)	-RRB-
cord-328957-mzi8504f	220	18	,	,	,
cord-328957-mzi8504f	220	19	D	D	NNP
cord-328957-mzi8504f	220	20	c	c	NN
cord-328957-mzi8504f	220	21	(	(	-LRB-
cord-328957-mzi8504f	220	22	t	t	NNP
cord-328957-mzi8504f	220	23	)	)	-RRB-
cord-328957-mzi8504f	220	24	,	,	,
cord-328957-mzi8504f	220	25	and	and	CC
cord-328957-mzi8504f	220	26	D	D	NNP
cord-328957-mzi8504f	220	27	a	a	NN
cord-328957-mzi8504f	220	28	(	(	-LRB-
cord-328957-mzi8504f	220	29	t	t	NN
cord-328957-mzi8504f	220	30	)	)	-RRB-
cord-328957-mzi8504f	220	31	.	.	.
cord-328957-mzi8504f	221	1	Adult	adult	NN
cord-328957-mzi8504f	221	2	and	and	CC
cord-328957-mzi8504f	221	3	children	child	NNS
cord-328957-mzi8504f	221	4	graphs	graph	NNS
cord-328957-mzi8504f	221	5	are	be	VBP
cord-328957-mzi8504f	221	6	presented	present	VBN
cord-328957-mzi8504f	221	7	with	with	IN
cord-328957-mzi8504f	221	8	a	a	DT
cord-328957-mzi8504f	221	9	dotted	dotted	JJ
cord-328957-mzi8504f	221	10	and	and	CC
cord-328957-mzi8504f	221	11	solid	solid	JJ
cord-328957-mzi8504f	221	12	lines	line	NNS
cord-328957-mzi8504f	221	13	,	,	,
cord-328957-mzi8504f	221	14	respectively	respectively	RB
cord-328957-mzi8504f	221	15	.	.	.
cord-328957-mzi8504f	222	1	Susceptible	susceptible	JJ
cord-328957-mzi8504f	222	2	,	,	,
cord-328957-mzi8504f	222	3	infected	infected	JJ
cord-328957-mzi8504f	222	4	,	,	,
cord-328957-mzi8504f	222	5	recovered	recover	VBN
cord-328957-mzi8504f	222	6	,	,	,
cord-328957-mzi8504f	222	7	and	and	CC
cord-328957-mzi8504f	222	8	dead	dead	JJ
cord-328957-mzi8504f	222	9	are	be	VBP
cord-328957-mzi8504f	222	10	shown	show	VBN
cord-328957-mzi8504f	222	11	in	in	IN
cord-328957-mzi8504f	222	12	green	green	JJ
cord-328957-mzi8504f	222	13	,	,	,
cord-328957-mzi8504f	222	14	red	red	JJ
cord-328957-mzi8504f	222	15	,	,	,
cord-328957-mzi8504f	222	16	blue	blue	JJ
cord-328957-mzi8504f	222	17	,	,	,
cord-328957-mzi8504f	222	18	and	and	CC
cord-328957-mzi8504f	222	19	black	black	JJ
cord-328957-mzi8504f	222	20	,	,	,
cord-328957-mzi8504f	222	21	respectively	respectively	RB
cord-328957-mzi8504f	222	22	.	.	.
cord-328957-mzi8504f	223	1	November	November	NNP
cord-328957-mzi8504f	223	2	2	2	CD
cord-328957-mzi8504f	223	3	,	,	,
cord-328957-mzi8504f	223	4	2020	2020	CD
cord-328957-mzi8504f	223	5	10/28	10/28	CD
cord-328957-mzi8504f	223	6	.	.	.
cord-328957-mzi8504f	224	1	CC	CC	NNP
cord-328957-mzi8504f	224	2	-	-	HYPH
cord-328957-mzi8504f	224	3	BY	BY	NNP
cord-328957-mzi8504f	224	4	-	-	HYPH
cord-328957-mzi8504f	224	5	NC	NC	NNP
cord-328957-mzi8504f	224	6	-	-	HYPH
cord-328957-mzi8504f	224	7	ND	ND	NNP
cord-328957-mzi8504f	224	8	4.0	4.0	CD
cord-328957-mzi8504f	224	9	International	international	JJ
cord-328957-mzi8504f	224	10	license	license	NN
cord-328957-mzi8504f	225	1	It	-PRON-	PRP
cord-328957-mzi8504f	225	2	is	be	VBZ
cord-328957-mzi8504f	225	3	made	make	VBN
cord-328957-mzi8504f	225	4	available	available	JJ
cord-328957-mzi8504f	225	5	under	under	IN
cord-328957-mzi8504f	225	6	a	a	DT
cord-328957-mzi8504f	226	1	is	be	VBZ
cord-328957-mzi8504f	226	2	the	the	DT
cord-328957-mzi8504f	226	3	author	author	NN
cord-328957-mzi8504f	226	4	/	/	SYM
cord-328957-mzi8504f	226	5	funder	funder	NN
cord-328957-mzi8504f	226	6	,	,	,
cord-328957-mzi8504f	226	7	who	who	WP
cord-328957-mzi8504f	226	8	has	have	VBZ
cord-328957-mzi8504f	226	9	granted	grant	VBN
cord-328957-mzi8504f	226	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	226	11	a	a	DT
cord-328957-mzi8504f	226	12	license	license	NN
cord-328957-mzi8504f	226	13	to	to	TO
cord-328957-mzi8504f	226	14	display	display	VB
cord-328957-mzi8504f	226	15	the	the	DT
cord-328957-mzi8504f	226	16	preprint	preprint	NN
cord-328957-mzi8504f	226	17	in	in	IN
cord-328957-mzi8504f	226	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	226	19	.	.	.
cord-328957-mzi8504f	227	1	The	the	DT
cord-328957-mzi8504f	227	2	copyright	copyright	NN
cord-328957-mzi8504f	227	3	holder	holder	NN
cord-328957-mzi8504f	227	4	for	for	IN
cord-328957-mzi8504f	227	5	this	this	DT
cord-328957-mzi8504f	227	6	preprint	preprint	NN
cord-328957-mzi8504f	227	7	this	this	DT
cord-328957-mzi8504f	227	8	version	version	NN
cord-328957-mzi8504f	227	9	posted	post	VBN
cord-328957-mzi8504f	227	10	November	November	NNP
cord-328957-mzi8504f	227	11	4	4	CD
cord-328957-mzi8504f	227	12	,	,	,
cord-328957-mzi8504f	227	13	2020	2020	CD
cord-328957-mzi8504f	227	14	.	.	.
cord-328957-mzi8504f	228	1	;	;	:
cord-328957-mzi8504f	228	2	https://doi.org/10.1101/2020.11.02.20224584	https://doi.org/10.1101/2020.11.02.20224584	NNP
cord-328957-mzi8504f	228	3	doi	doi	NN
cord-328957-mzi8504f	228	4	:	:	:
cord-328957-mzi8504f	229	1	medRxiv	medRxiv	NNP
cord-328957-mzi8504f	229	2	preprint	preprint	NN
cord-328957-mzi8504f	229	3	Proof	Proof	NNP
cord-328957-mzi8504f	229	4	.	.	.
cord-328957-mzi8504f	230	1	Define	define	VB
cord-328957-mzi8504f	230	2	a	a	DT
cord-328957-mzi8504f	230	3	non	non	JJ
cord-328957-mzi8504f	230	4	-	-	JJ
cord-328957-mzi8504f	230	5	homogeneous	homogeneous	JJ
cord-328957-mzi8504f	230	6	continuous	continuous	JJ
cord-328957-mzi8504f	230	7	-	-	HYPH
cord-328957-mzi8504f	230	8	time	time	NN
cord-328957-mzi8504f	230	9	Markov	Markov	NNP
cord-328957-mzi8504f	230	10	chain	chain	NN
cord-328957-mzi8504f	230	11	M	M	NNP
cord-328957-mzi8504f	230	12	with	with	IN
cord-328957-mzi8504f	230	13	state	state	NN
cord-328957-mzi8504f	230	14	space	space	NN
cord-328957-mzi8504f	230	15	240	240	CD
cord-328957-mzi8504f	230	16	with	with	IN
cord-328957-mzi8504f	230	17	eight	eight	CD
cord-328957-mzi8504f	230	18	values	value	NNS
cord-328957-mzi8504f	230	19	in	in	IN
cord-328957-mzi8504f	230	20	respect	respect	NN
cord-328957-mzi8504f	230	21	to	to	IN
cord-328957-mzi8504f	230	22	S	S	NNP
cord-328957-mzi8504f	230	23	c	c	NN
cord-328957-mzi8504f	230	24	,	,	,
cord-328957-mzi8504f	230	25	S	S	NNP
cord-328957-mzi8504f	230	26	a	a	NNP
cord-328957-mzi8504f	230	27	,	,	,
cord-328957-mzi8504f	231	1	I	-PRON-	PRP
cord-328957-mzi8504f	231	2	c	c	NNP
cord-328957-mzi8504f	231	3	,	,	,
cord-328957-mzi8504f	231	4	I	-PRON-	PRP
cord-328957-mzi8504f	231	5	a	a	DT
cord-328957-mzi8504f	231	6	,	,	,
cord-328957-mzi8504f	231	7	R	r	NN
cord-328957-mzi8504f	231	8	c	c	NN
cord-328957-mzi8504f	231	9	,	,	,
cord-328957-mzi8504f	232	1	R	R	NNP
cord-328957-mzi8504f	232	2	a	a	NN
cord-328957-mzi8504f	232	3	,	,	,
cord-328957-mzi8504f	232	4	D	D	NNP
cord-328957-mzi8504f	232	5	c	c	NN
cord-328957-mzi8504f	232	6	,	,	,
cord-328957-mzi8504f	232	7	and	and	CC
cord-328957-mzi8504f	232	8	D	D	NNP
cord-328957-mzi8504f	232	9	a	a	NN
cord-328957-mzi8504f	232	10	.	.	.
cord-328957-mzi8504f	233	1	Table	table	NN
cord-328957-mzi8504f	233	2	2	2	CD
cord-328957-mzi8504f	233	3	represents	represent	VBZ
cord-328957-mzi8504f	233	4	241	241	CD
cord-328957-mzi8504f	233	5	the	the	DT
cord-328957-mzi8504f	233	6	transition	transition	NN
cord-328957-mzi8504f	233	7	matrix	matrix	NN
cord-328957-mzi8504f	233	8	of	of	IN
cord-328957-mzi8504f	233	9	M	M	NNP
cord-328957-mzi8504f	233	10	where	where	WRB
cord-328957-mzi8504f	233	11	In	in	IN
cord-328957-mzi8504f	233	12	order	order	NN
cord-328957-mzi8504f	233	13	to	to	TO
cord-328957-mzi8504f	233	14	model	model	VB
cord-328957-mzi8504f	233	15	the	the	DT
cord-328957-mzi8504f	233	16	dynamics	dynamic	NNS
cord-328957-mzi8504f	233	17	as	as	IN
cord-328957-mzi8504f	233	18	a	a	DT
cord-328957-mzi8504f	233	19	Markov	Markov	NNP
cord-328957-mzi8504f	233	20	chain	chain	NN
cord-328957-mzi8504f	233	21	one	one	PRP
cord-328957-mzi8504f	233	22	needs	need	VBZ
cord-328957-mzi8504f	233	23	to	to	TO
cord-328957-mzi8504f	233	24	show	show	VB
cord-328957-mzi8504f	233	25	that	that	IN
cord-328957-mzi8504f	233	26	where	where	WRB
cord-328957-mzi8504f	233	27	{	{	-LRB-
cord-328957-mzi8504f	233	28	X	x	NN
cord-328957-mzi8504f	233	29	}	}	-RRB-
cord-328957-mzi8504f	233	30	t	t	NN
cord-328957-mzi8504f	233	31	is	be	VBZ
cord-328957-mzi8504f	233	32	a	a	DT
cord-328957-mzi8504f	233	33	stochastic	stochastic	JJ
cord-328957-mzi8504f	233	34	process	process	NN
cord-328957-mzi8504f	233	35	with	with	IN
cord-328957-mzi8504f	233	36	values	value	NNS
cord-328957-mzi8504f	233	37	in	in	IN
cord-328957-mzi8504f	233	38	the	the	DT
cord-328957-mzi8504f	233	39	state	state	NN
cord-328957-mzi8504f	233	40	space	space	NN
cord-328957-mzi8504f	233	41	for	for	IN
cord-328957-mzi8504f	233	42	all	all	DT
cord-328957-mzi8504f	233	43	t	t	NN
cord-328957-mzi8504f	233	44	≥	≥	CD
cord-328957-mzi8504f	233	45	0	0	CD
cord-328957-mzi8504f	233	46	and	and	CC
cord-328957-mzi8504f	233	47	all	all	DT
cord-328957-mzi8504f	233	48	244	244	CD
cord-328957-mzi8504f	233	49	states	state	NNS
cord-328957-mzi8504f	233	50	i	i	PRP
cord-328957-mzi8504f	233	51	0	0	CD
cord-328957-mzi8504f	233	52	,	,	,
cord-328957-mzi8504f	233	53	...	...	.
cord-328957-mzi8504f	234	1	i	i	PRP
cord-328957-mzi8504f	234	2	t	t	NNP
cord-328957-mzi8504f	234	3	,	,	,
cord-328957-mzi8504f	234	4	j	j	NNP
cord-328957-mzi8504f	234	5	and	and	CC
cord-328957-mzi8504f	234	6	h	h	NNP
cord-328957-mzi8504f	234	7	is	be	VBZ
cord-328957-mzi8504f	234	8	an	an	DT
cord-328957-mzi8504f	234	9	arbitrary	arbitrary	JJ
cord-328957-mzi8504f	234	10	small	small	JJ
cord-328957-mzi8504f	234	11	step	step	NN
cord-328957-mzi8504f	234	12	in	in	IN
cord-328957-mzi8504f	234	13	time	time	NN
cord-328957-mzi8504f	234	14	[	[	-LRB-
cord-328957-mzi8504f	234	15	31	31	CD
cord-328957-mzi8504f	234	16	]	]	-RRB-
cord-328957-mzi8504f	234	17	.	.	.
cord-328957-mzi8504f	235	1	M	M	NNP
cord-328957-mzi8504f	235	2	satisfies	satisfy	VBZ
cord-328957-mzi8504f	235	3	Eq	Eq	NNP
cord-328957-mzi8504f	235	4	(	(	-LRB-
cord-328957-mzi8504f	235	5	12	12	CD
cord-328957-mzi8504f	235	6	)	)	-RRB-
cord-328957-mzi8504f	235	7	 	 	_SP
cord-328957-mzi8504f	235	8	such	such	JJ
cord-328957-mzi8504f	235	9	that	that	IN
cord-328957-mzi8504f	235	10	(=	(=	NNP
cord-328957-mzi8504f	235	11	*	*	NFP
cord-328957-mzi8504f	235	12	)	)	-RRB-
cord-328957-mzi8504f	235	13	stands	stand	VBZ
cord-328957-mzi8504f	235	14	for	for	IN
cord-328957-mzi8504f	235	15	I	-PRON-	PRP
cord-328957-mzi8504f	236	1	c	c	NNP
cord-328957-mzi8504f	237	1	(	(	-LRB-
cord-328957-mzi8504f	237	2	t+h	t+h	NN
cord-328957-mzi8504f	237	3	)	)	-RRB-
cord-328957-mzi8504f	237	4	=	=	NFP
cord-328957-mzi8504f	238	1	I	-PRON-	PRP
cord-328957-mzi8504f	239	1	c	c	LS
cord-328957-mzi8504f	239	2	(	(	-LRB-
cord-328957-mzi8504f	239	3	t)+dI	t)+dI	NNP
cord-328957-mzi8504f	239	4	c	c	NN
cord-328957-mzi8504f	239	5	(	(	-LRB-
cord-328957-mzi8504f	239	6	t	t	NNP
cord-328957-mzi8504f	239	7	)	)	-RRB-
cord-328957-mzi8504f	239	8	,	,	,
cord-328957-mzi8504f	239	9	I	-PRON-	PRP
cord-328957-mzi8504f	239	10	a	a	DT
cord-328957-mzi8504f	240	1	(	(	-LRB-
cord-328957-mzi8504f	240	2	t+h	t+h	NN
cord-328957-mzi8504f	240	3	)	)	-RRB-
cord-328957-mzi8504f	240	4	=	=	NFP
cord-328957-mzi8504f	241	1	I	-PRON-	PRP
cord-328957-mzi8504f	241	2	a	a	DT
cord-328957-mzi8504f	241	3	(	(	-LRB-
cord-328957-mzi8504f	241	4	t)+dI	t)+di	FW
cord-328957-mzi8504f	241	5	a	a	DT
cord-328957-mzi8504f	241	6	(	(	-LRB-
cord-328957-mzi8504f	241	7	t	t	NN
cord-328957-mzi8504f	241	8	)	)	-RRB-
cord-328957-mzi8504f	241	9	.	.	.
cord-328957-mzi8504f	242	1	From	from	IN
cord-328957-mzi8504f	242	2	Eq	Eq	NNP
cord-328957-mzi8504f	242	3	(	(	-LRB-
cord-328957-mzi8504f	242	4	13	13	CD
cord-328957-mzi8504f	242	5	)	)	-RRB-
cord-328957-mzi8504f	242	6	247	247	CD
cord-328957-mzi8504f	242	7	and	and	CC
cord-328957-mzi8504f	242	8	(	(	-LRB-
cord-328957-mzi8504f	242	9	14	14	CD
cord-328957-mzi8504f	242	10	)	)	-RRB-
cord-328957-mzi8504f	242	11	,	,	,
cord-328957-mzi8504f	242	12	v	v	NN
cord-328957-mzi8504f	242	13	1	1	CD
cord-328957-mzi8504f	242	14	(	(	-LRB-
cord-328957-mzi8504f	242	15	t	t	NN
cord-328957-mzi8504f	242	16	+	+	CC
cord-328957-mzi8504f	242	17	h	h	NNP
cord-328957-mzi8504f	242	18	)	)	-RRB-
cord-328957-mzi8504f	242	19	and	and	CC
cord-328957-mzi8504f	242	20	v	v	LS
cord-328957-mzi8504f	242	21	2	2	CD
cord-328957-mzi8504f	242	22	(	(	-LRB-
cord-328957-mzi8504f	242	23	t	t	NN
cord-328957-mzi8504f	242	24	+	+	CC
cord-328957-mzi8504f	242	25	h	h	NN
cord-328957-mzi8504f	242	26	)	)	-RRB-
cord-328957-mzi8504f	242	27	depends	depend	VBZ
cord-328957-mzi8504f	242	28	only	only	RB
cord-328957-mzi8504f	242	29	on	on	IN
cord-328957-mzi8504f	242	30	the	the	DT
cord-328957-mzi8504f	242	31	previous	previous	JJ
cord-328957-mzi8504f	242	32	state	state	NN
cord-328957-mzi8504f	242	33	X	x	NN
cord-328957-mzi8504f	242	34	t	t	NN
cord-328957-mzi8504f	242	35	=	=	SYM
cord-328957-mzi8504f	242	36	i	i	NN
cord-328957-mzi8504f	242	37	t	t	NN
cord-328957-mzi8504f	242	38	,	,	,
cord-328957-mzi8504f	242	39	respectively	respectively	RB
cord-328957-mzi8504f	242	40	.	.	.
cord-328957-mzi8504f	243	1	248	248	CD
cord-328957-mzi8504f	243	2	Let	let	VB
cord-328957-mzi8504f	243	3	π	π	NN
cord-328957-mzi8504f	243	4	∈	∈	NN
cord-328957-mzi8504f	243	5	N	N	NNP
cord-328957-mzi8504f	243	6	8	8	CD
cord-328957-mzi8504f	243	7	be	be	VB
cord-328957-mzi8504f	243	8	the	the	DT
cord-328957-mzi8504f	243	9	initial	initial	JJ
cord-328957-mzi8504f	243	10	condition	condition	NN
cord-328957-mzi8504f	243	11	for	for	IN
cord-328957-mzi8504f	243	12	the	the	DT
cord-328957-mzi8504f	243	13	system	system	NN
cord-328957-mzi8504f	243	14	.	.	.
cord-328957-mzi8504f	244	1	Therefore	therefore	RB
cord-328957-mzi8504f	244	2	,	,	,
cord-328957-mzi8504f	244	3	the	the	DT
cord-328957-mzi8504f	244	4	model	model	NN
cord-328957-mzi8504f	244	5	's	's	POS
cord-328957-mzi8504f	244	6	state	state	NN
cord-328957-mzi8504f	244	7	at	at	IN
cord-328957-mzi8504f	244	8	some	some	DT
cord-328957-mzi8504f	244	9	249	249	CD
cord-328957-mzi8504f	244	10	time	time	NN
cord-328957-mzi8504f	244	11	t	t	NN
cord-328957-mzi8504f	244	12	is	be	VBZ
cord-328957-mzi8504f	244	13	defined	define	VBN
cord-328957-mzi8504f	244	14	by	by	IN
cord-328957-mzi8504f	244	15	A	a	DT
cord-328957-mzi8504f	244	16	t	t	NN
cord-328957-mzi8504f	244	17	π	π	NN
cord-328957-mzi8504f	244	18	.	.	.
cord-328957-mzi8504f	245	1	For	for	IN
cord-328957-mzi8504f	245	2	any	any	DT
cord-328957-mzi8504f	245	3	initial	initial	JJ
cord-328957-mzi8504f	245	4	condition	condition	NN
cord-328957-mzi8504f	245	5	π	π	NN
cord-328957-mzi8504f	245	6	,	,	,
cord-328957-mzi8504f	245	7	the	the	DT
cord-328957-mzi8504f	245	8	vector	vector	NN
cord-328957-mzi8504f	245	9	lim	lim	NNP
cord-328957-mzi8504f	245	10	t→∞	t→∞	NNP
cord-328957-mzi8504f	245	11	(	(	-LRB-
cord-328957-mzi8504f	245	12	A	a	DT
cord-328957-mzi8504f	245	13	t	t	NN
cord-328957-mzi8504f	245	14	π	π	NN
cord-328957-mzi8504f	245	15	)	)	-RRB-
cord-328957-mzi8504f	245	16	takes	take	VBZ
cord-328957-mzi8504f	245	17	the	the	DT
cord-328957-mzi8504f	245	18	250	250	CD
cord-328957-mzi8504f	245	19	form	form	NN
cord-328957-mzi8504f	245	20	 	 	_SP
cord-328957-mzi8504f	245	21	and	and	CC
cord-328957-mzi8504f	245	22	for	for	IN
cord-328957-mzi8504f	245	23	lim	lim	NNP
cord-328957-mzi8504f	245	24	t→∞	t→∞	NNP
cord-328957-mzi8504f	245	25	(	(	-LRB-
cord-328957-mzi8504f	245	26	1	1	CD
cord-328957-mzi8504f	245	27	−	−	NN
cord-328957-mzi8504f	245	28	α	α	NN
cord-328957-mzi8504f	245	29	)	)	-RRB-
cord-328957-mzi8504f	245	30	t	t	NN
cord-328957-mzi8504f	245	31	=	=	SYM
cord-328957-mzi8504f	245	32	0	0	CD
cord-328957-mzi8504f	245	33	meaning	meaning	NN
cord-328957-mzi8504f	245	34	that	that	IN
cord-328957-mzi8504f	245	35	asymptotically	asymptotically	RB
cord-328957-mzi8504f	245	36	the	the	DT
cord-328957-mzi8504f	245	37	population	population	NN
cord-328957-mzi8504f	245	38	in	in	IN
cord-328957-mzi8504f	245	39	S	S	NNP
cord-328957-mzi8504f	245	40	c	c	NN
cord-328957-mzi8504f	245	41	decreases	decrease	VBZ
cord-328957-mzi8504f	245	42	258	258	CD
cord-328957-mzi8504f	245	43	to	to	IN
cord-328957-mzi8504f	245	44	zero	zero	CD
cord-328957-mzi8504f	245	45	.	.	.
cord-328957-mzi8504f	246	1	Therefore	therefore	RB
cord-328957-mzi8504f	246	2	,	,	,
cord-328957-mzi8504f	246	3	the	the	DT
cord-328957-mzi8504f	246	4	asymptotic	asymptotic	JJ
cord-328957-mzi8504f	246	5	state	state	NN
cord-328957-mzi8504f	246	6	of	of	IN
cord-328957-mzi8504f	246	7	the	the	DT
cord-328957-mzi8504f	246	8	model	model	NN
cord-328957-mzi8504f	246	9	takes	take	VBZ
cord-328957-mzi8504f	246	10	the	the	DT
cord-328957-mzi8504f	246	11	form	form	NN
cord-328957-mzi8504f	246	12	:	:	:
cord-328957-mzi8504f	246	13	,	,	,
cord-328957-mzi8504f	246	14	for	for	IN
cord-328957-mzi8504f	246	15	any	any	DT
cord-328957-mzi8504f	246	16	initial	initial	JJ
cord-328957-mzi8504f	246	17	condition	condition	NN
cord-328957-mzi8504f	246	18	π	π	NN
cord-328957-mzi8504f	246	19	and	and	CC
cord-328957-mzi8504f	246	20	parameters	parameter	NNS
cord-328957-mzi8504f	246	21	such	such	JJ
cord-328957-mzi8504f	246	22	that	that	IN
cord-328957-mzi8504f	246	23	α	α	NN
cord-328957-mzi8504f	246	24	,	,	,
cord-328957-mzi8504f	246	25	γ	γ	NNP
cord-328957-mzi8504f	246	26	a	a	NNP
cord-328957-mzi8504f	246	27	,	,	,
cord-328957-mzi8504f	246	28	γ	γ	NNP
cord-328957-mzi8504f	246	29	c	c	NNP
cord-328957-mzi8504f	246	30	,	,	,
cord-328957-mzi8504f	246	31	β	β	NNP
cord-328957-mzi8504f	246	32	aa	aa	NNP
cord-328957-mzi8504f	246	33	,	,	,
cord-328957-mzi8504f	246	34	β	β	NN
cord-328957-mzi8504f	246	35	cc	cc	NN
cord-328957-mzi8504f	246	36	>	>	XX
cord-328957-mzi8504f	246	37	0	0	CD
cord-328957-mzi8504f	246	38	.	.	.
cord-328957-mzi8504f	247	1	In	in	IN
cord-328957-mzi8504f	247	2	order	order	NN
cord-328957-mzi8504f	247	3	to	to	TO
cord-328957-mzi8504f	247	4	find	find	VB
cord-328957-mzi8504f	247	5	g	g	NN
cord-328957-mzi8504f	247	6	(	(	-LRB-
cord-328957-mzi8504f	247	7	from	from	IN
cord-328957-mzi8504f	247	8	Lemma	Lemma	NNP
cord-328957-mzi8504f	247	9	1	1	CD
cord-328957-mzi8504f	247	10	)	)	-RRB-
cord-328957-mzi8504f	247	11	for	for	IN
cord-328957-mzi8504f	247	12	given	give	VBN
cord-328957-mzi8504f	247	13	initial	initial	JJ
cord-328957-mzi8504f	247	14	conditions	condition	NNS
cord-328957-mzi8504f	247	15	and	and	CC
cord-328957-mzi8504f	247	16	parameters	parameter	NNS
cord-328957-mzi8504f	247	17	,	,	,
cord-328957-mzi8504f	247	18	it	-PRON-	PRP
cord-328957-mzi8504f	247	19	is	be	VBZ
cord-328957-mzi8504f	247	20	262	262	CD
cord-328957-mzi8504f	247	21	possible	possible	JJ
cord-328957-mzi8504f	247	22	to	to	TO
cord-328957-mzi8504f	247	23	use	use	VB
cord-328957-mzi8504f	247	24	the	the	DT
cord-328957-mzi8504f	247	25	next	next	JJ
cord-328957-mzi8504f	247	26	generation	generation	NN
cord-328957-mzi8504f	247	27	matrix	matrix	NN
cord-328957-mzi8504f	247	28	approach	approach	NN
cord-328957-mzi8504f	247	29	[	[	-LRB-
cord-328957-mzi8504f	247	30	32	32	CD
cord-328957-mzi8504f	247	31	]	]	-RRB-
cord-328957-mzi8504f	247	32	.	.	.
cord-328957-mzi8504f	248	1	Let	let	VB
cord-328957-mzi8504f	248	2	V	v	NN
cord-328957-mzi8504f	249	1	+	+	CC
cord-328957-mzi8504f	249	2	i	i	PRP
cord-328957-mzi8504f	249	3	be	be	VBP
cord-328957-mzi8504f	249	4	the	the	DT
cord-328957-mzi8504f	249	5	rate	rate	NN
cord-328957-mzi8504f	249	6	of	of	IN
cord-328957-mzi8504f	249	7	transfer	transfer	NN
cord-328957-mzi8504f	249	8	263	263	CD
cord-328957-mzi8504f	249	9	of	of	IN
cord-328957-mzi8504f	249	10	individuals	individual	NNS
cord-328957-mzi8504f	249	11	by	by	IN
cord-328957-mzi8504f	249	12	all	all	DT
cord-328957-mzi8504f	249	13	means	mean	NNS
cord-328957-mzi8504f	249	14	except	except	IN
cord-328957-mzi8504f	249	15	of	of	IN
cord-328957-mzi8504f	249	16	appearance	appearance	NN
cord-328957-mzi8504f	249	17	of	of	IN
cord-328957-mzi8504f	249	18	new	new	JJ
cord-328957-mzi8504f	249	19	infections	infection	NNS
cord-328957-mzi8504f	249	20	in	in	IN
cord-328957-mzi8504f	249	21	compartment	compartment	NN
cord-328957-mzi8504f	249	22	i	i	NN
cord-328957-mzi8504f	249	23	,	,	,
cord-328957-mzi8504f	249	24	264	264	CD
cord-328957-mzi8504f	249	25	and	and	CC
cord-328957-mzi8504f	249	26	V	V	NNP
cord-328957-mzi8504f	249	27	−	−	NNP
cord-328957-mzi8504f	250	1	i	i	PRP
cord-328957-mzi8504f	250	2	be	be	VBP
cord-328957-mzi8504f	250	3	the	the	DT
cord-328957-mzi8504f	250	4	rate	rate	NN
cord-328957-mzi8504f	250	5	of	of	IN
cord-328957-mzi8504f	250	6	transfer	transfer	NN
cord-328957-mzi8504f	250	7	of	of	IN
cord-328957-mzi8504f	250	8	individuals	individual	NNS
cord-328957-mzi8504f	250	9	out	out	IN
cord-328957-mzi8504f	250	10	of	of	IN
cord-328957-mzi8504f	250	11	compartment	compartment	NN
cord-328957-mzi8504f	250	12	i.	i.	NN
cord-328957-mzi8504f	251	1	Let	let	VB
cord-328957-mzi8504f	251	2	F	F	NNP
cord-328957-mzi8504f	251	3	i	i	PRP
cord-328957-mzi8504f	251	4	be	be	VBP
cord-328957-mzi8504f	251	5	the	the	DT
cord-328957-mzi8504f	251	6	rate	rate	NN
cord-328957-mzi8504f	251	7	265	265	CD
cord-328957-mzi8504f	251	8	of	of	IN
cord-328957-mzi8504f	251	9	appearance	appearance	NN
cord-328957-mzi8504f	251	10	of	of	IN
cord-328957-mzi8504f	251	11	new	new	JJ
cord-328957-mzi8504f	251	12	infections	infection	NNS
cord-328957-mzi8504f	251	13	in	in	IN
cord-328957-mzi8504f	251	14	compartment	compartment	NN
cord-328957-mzi8504f	251	15	i.	i.	NN
cord-328957-mzi8504f	251	16	Eq	eq	NN
cord-328957-mzi8504f	251	17	(	(	-LRB-
cord-328957-mzi8504f	251	18	1	1	CD
cord-328957-mzi8504f	251	19	-8	-8	NNPS
cord-328957-mzi8504f	251	20	)	)	-RRB-
cord-328957-mzi8504f	251	21	takes	take	VBZ
cord-328957-mzi8504f	251	22	the	the	DT
cord-328957-mzi8504f	251	23	form	form	NN
cord-328957-mzi8504f	251	24	:	:	:
cord-328957-mzi8504f	251	25	November	November	NNP
cord-328957-mzi8504f	251	26	2	2	CD
cord-328957-mzi8504f	251	27	,	,	,
cord-328957-mzi8504f	251	28	2020	2020	CD
cord-328957-mzi8504f	251	29	11/28	11/28	CD
cord-328957-mzi8504f	251	30	.	.	.
cord-328957-mzi8504f	252	1	CC	CC	NNP
cord-328957-mzi8504f	252	2	-	-	HYPH
cord-328957-mzi8504f	252	3	BY	BY	NNP
cord-328957-mzi8504f	252	4	-	-	HYPH
cord-328957-mzi8504f	252	5	NC	NC	NNP
cord-328957-mzi8504f	252	6	-	-	HYPH
cord-328957-mzi8504f	252	7	ND	ND	NNP
cord-328957-mzi8504f	252	8	4.0	4.0	CD
cord-328957-mzi8504f	252	9	International	international	JJ
cord-328957-mzi8504f	252	10	license	license	NN
cord-328957-mzi8504f	253	1	It	-PRON-	PRP
cord-328957-mzi8504f	253	2	is	be	VBZ
cord-328957-mzi8504f	253	3	made	make	VBN
cord-328957-mzi8504f	253	4	available	available	JJ
cord-328957-mzi8504f	253	5	under	under	IN
cord-328957-mzi8504f	253	6	a	a	DT
cord-328957-mzi8504f	254	1	is	be	VBZ
cord-328957-mzi8504f	254	2	the	the	DT
cord-328957-mzi8504f	254	3	author	author	NN
cord-328957-mzi8504f	254	4	/	/	SYM
cord-328957-mzi8504f	254	5	funder	funder	NN
cord-328957-mzi8504f	254	6	,	,	,
cord-328957-mzi8504f	254	7	who	who	WP
cord-328957-mzi8504f	254	8	has	have	VBZ
cord-328957-mzi8504f	254	9	granted	grant	VBN
cord-328957-mzi8504f	254	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	254	11	a	a	DT
cord-328957-mzi8504f	254	12	license	license	NN
cord-328957-mzi8504f	254	13	to	to	TO
cord-328957-mzi8504f	254	14	display	display	VB
cord-328957-mzi8504f	254	15	the	the	DT
cord-328957-mzi8504f	254	16	preprint	preprint	NN
cord-328957-mzi8504f	254	17	in	in	IN
cord-328957-mzi8504f	254	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	254	19	.	.	.
cord-328957-mzi8504f	255	1	The	the	DT
cord-328957-mzi8504f	255	2	copyright	copyright	NN
cord-328957-mzi8504f	255	3	holder	holder	NN
cord-328957-mzi8504f	255	4	for	for	IN
cord-328957-mzi8504f	255	5	this	this	DT
cord-328957-mzi8504f	255	6	preprint	preprint	NN
cord-328957-mzi8504f	255	7	this	this	DT
cord-328957-mzi8504f	255	8	version	version	NN
cord-328957-mzi8504f	255	9	posted	post	VBN
cord-328957-mzi8504f	255	10	November	November	NNP
cord-328957-mzi8504f	255	11	4	4	CD
cord-328957-mzi8504f	255	12	,	,	,
cord-328957-mzi8504f	255	13	2020	2020	CD
cord-328957-mzi8504f	255	14	.	.	.
cord-328957-mzi8504f	256	1	;	;	:
cord-328957-mzi8504f	256	2	https://doi.org/10.1101/2020.11.02.20224584	https://doi.org/10.1101/2020.11.02.20224584	NNP
cord-328957-mzi8504f	256	3	doi	doi	NN
cord-328957-mzi8504f	256	4	:	:	:
cord-328957-mzi8504f	257	1	medRxiv	medRxiv	NNP
cord-328957-mzi8504f	257	2	preprint	preprint	NN
cord-328957-mzi8504f	257	3	Table	Table	NNP
cord-328957-mzi8504f	257	4	2	2	CD
cord-328957-mzi8504f	257	5	.	.	.
cord-328957-mzi8504f	258	1	Markov	Markov	NNP
cord-328957-mzi8504f	258	2	chain	chain	NN
cord-328957-mzi8504f	258	3	transformation	transformation	NN
cord-328957-mzi8504f	258	4	matrix	matrix	NN
cord-328957-mzi8504f	258	5	representation	representation	NN
cord-328957-mzi8504f	258	6	of	of	IN
cord-328957-mzi8504f	258	7	Eq	Eq	NNP
cord-328957-mzi8504f	258	8	(	(	-LRB-
cord-328957-mzi8504f	258	9	1	1	CD
cord-328957-mzi8504f	258	10	)	)	-RRB-
cord-328957-mzi8504f	258	11	(	(	-LRB-
cord-328957-mzi8504f	258	12	2	2	LS
cord-328957-mzi8504f	258	13	)	)	-RRB-
cord-328957-mzi8504f	258	14	(	(	-LRB-
cord-328957-mzi8504f	258	15	3	3	LS
cord-328957-mzi8504f	258	16	)	)	-RRB-
cord-328957-mzi8504f	258	17	(	(	-LRB-
cord-328957-mzi8504f	258	18	4	4	LS
cord-328957-mzi8504f	258	19	)	)	-RRB-
cord-328957-mzi8504f	258	20	(	(	-LRB-
cord-328957-mzi8504f	258	21	5	5	LS
cord-328957-mzi8504f	258	22	)	)	-RRB-
cord-328957-mzi8504f	258	23	(	(	-LRB-
cord-328957-mzi8504f	258	24	6	6	LS
cord-328957-mzi8504f	258	25	)	)	-RRB-
cord-328957-mzi8504f	258	26	(	(	-LRB-
cord-328957-mzi8504f	258	27	7	7	CD
cord-328957-mzi8504f	258	28	)	)	-RRB-
cord-328957-mzi8504f	259	1	(	(	-LRB-
cord-328957-mzi8504f	259	2	8)	8)	NNP
cord-328957-mzi8504f	259	3	.	.	.
cord-328957-mzi8504f	260	1	In	in	IN
cord-328957-mzi8504f	260	2	equilibrium	equilibrium	NN
cord-328957-mzi8504f	260	3	,	,	,
cord-328957-mzi8504f	260	4	I	-PRON-	PRP
cord-328957-mzi8504f	260	5	c	c	NN
cord-328957-mzi8504f	260	6	and	and	CC
cord-328957-mzi8504f	260	7	I	-PRON-	PRP
cord-328957-mzi8504f	260	8	a	a	DT
cord-328957-mzi8504f	260	9	are	be	VBP
cord-328957-mzi8504f	260	10	both	both	RB
cord-328957-mzi8504f	260	11	equal	equal	JJ
cord-328957-mzi8504f	260	12	to	to	IN
cord-328957-mzi8504f	260	13	zero	zero	CD
cord-328957-mzi8504f	261	1	so	so	IN
cord-328957-mzi8504f	261	2	the	the	DT
cord-328957-mzi8504f	261	3	derivatives	derivative	NNS
cord-328957-mzi8504f	261	4	at	at	IN
cord-328957-mzi8504f	261	5	equilibrium	equilibrium	NN
cord-328957-mzi8504f	261	6	,	,	,
cord-328957-mzi8504f	261	7	270	270	CD
cord-328957-mzi8504f	261	8	focusing	focus	VBG
cord-328957-mzi8504f	261	9	on	on	IN
cord-328957-mzi8504f	261	10	I	-PRON-	PRP
cord-328957-mzi8504f	261	11	c	c	NN
cord-328957-mzi8504f	262	1	and	and	CC
cord-328957-mzi8504f	262	2	I	-PRON-	PRP
cord-328957-mzi8504f	262	3	a	a	DT
cord-328957-mzi8504f	262	4	from	from	IN
cord-328957-mzi8504f	262	5	Eqs	Eqs	NNP
cord-328957-mzi8504f	262	6	.	.	.
cord-328957-mzi8504f	263	1	(	(	-LRB-
cord-328957-mzi8504f	263	2	3	3	LS
cord-328957-mzi8504f	263	3	)	)	-RRB-
cord-328957-mzi8504f	263	4	and	and	CC
cord-328957-mzi8504f	263	5	(	(	-LRB-
cord-328957-mzi8504f	263	6	4	4	LS
cord-328957-mzi8504f	263	7	)	)	-RRB-
cord-328957-mzi8504f	263	8	,	,	,
cord-328957-mzi8504f	263	9	are	be	VBP
cord-328957-mzi8504f	263	10	mapped	map	VBN
cord-328957-mzi8504f	263	11	to	to	IN
cord-328957-mzi8504f	263	12	the	the	DT
cord-328957-mzi8504f	263	13	third	third	JJ
cord-328957-mzi8504f	263	14	and	and	CC
cord-328957-mzi8504f	263	15	forth	forth	JJ
cord-328957-mzi8504f	263	16	elements	element	NNS
cord-328957-mzi8504f	263	17	271	271	CD
cord-328957-mzi8504f	263	18	in	in	IN
cord-328957-mzi8504f	263	19	vectors	vector	NNS
cord-328957-mzi8504f	263	20	F	F	NNP
cord-328957-mzi8504f	263	21	and	and	CC
cord-328957-mzi8504f	263	22	V	v	NN
cord-328957-mzi8504f	263	23	giving	give	VBG
cord-328957-mzi8504f	263	24	the	the	DT
cord-328957-mzi8504f	263	25	matrices	matrix	NNS
cord-328957-mzi8504f	263	26	F	F	NNP
cord-328957-mzi8504f	263	27	and	and	CC
cord-328957-mzi8504f	263	28	V.	V.	NNP
cord-328957-mzi8504f	264	1	The	the	DT
cord-328957-mzi8504f	264	2	next	next	JJ
cord-328957-mzi8504f	264	3	generation	generation	NN
cord-328957-mzi8504f	264	4	matrix	matrix	NN
cord-328957-mzi8504f	264	5	is	be	VBZ
cord-328957-mzi8504f	264	6	defined	define	VBN
cord-328957-mzi8504f	264	7	as	as	IN
cord-328957-mzi8504f	264	8	FV	FV	NNP
cord-328957-mzi8504f	264	9	−1	−1	NNP
cord-328957-mzi8504f	264	10	[	[	-LRB-
cord-328957-mzi8504f	264	11	32	32	CD
cord-328957-mzi8504f	264	12	]	]	-RRB-
cord-328957-mzi8504f	264	13	.	.	.
cord-328957-mzi8504f	264	14	 	 	_SP
cord-328957-mzi8504f	265	1	After	after	IN
cord-328957-mzi8504f	265	2	one	one	CD
cord-328957-mzi8504f	265	3	time	time	NN
cord-328957-mzi8504f	265	4	unit	unit	NN
cord-328957-mzi8504f	265	5	,	,	,
cord-328957-mzi8504f	265	6	the	the	DT
cord-328957-mzi8504f	265	7	amount	amount	NN
cord-328957-mzi8504f	265	8	of	of	IN
cord-328957-mzi8504f	265	9	infected	infected	JJ
cord-328957-mzi8504f	265	10	individuals	individual	NNS
cord-328957-mzi8504f	265	11	can	can	MD
cord-328957-mzi8504f	265	12	be	be	VB
cord-328957-mzi8504f	265	13	275	275	CD
cord-328957-mzi8504f	265	14	calculated	calculate	VBN
cord-328957-mzi8504f	265	15	using	use	VBG
cord-328957-mzi8504f	265	16	v	v	NN
cord-328957-mzi8504f	265	17	=	=	SYM
cord-328957-mzi8504f	265	18	Gv	Gv	NNP
cord-328957-mzi8504f	265	19	.	.	.
cord-328957-mzi8504f	266	1	Therefore	therefore	RB
cord-328957-mzi8504f	266	2	,	,	,
cord-328957-mzi8504f	266	3	for	for	IN
cord-328957-mzi8504f	266	4	any	any	DT
cord-328957-mzi8504f	266	5	start	start	NN
cord-328957-mzi8504f	266	6	condition	condition	NN
cord-328957-mzi8504f	266	7	and	and	CC
cord-328957-mzi8504f	266	8	model	model	NN
cord-328957-mzi8504f	266	9	parameters	parameter	VBZ
cord-328957-mzi8504f	266	10	one	one	CD
cord-328957-mzi8504f	266	11	276	276	CD
cord-328957-mzi8504f	266	12	can	can	MD
cord-328957-mzi8504f	266	13	find	find	VB
cord-328957-mzi8504f	266	14	g	g	NN
cord-328957-mzi8504f	266	15	by	by	IN
cord-328957-mzi8504f	266	16	calculating	calculate	VBG
cord-328957-mzi8504f	266	17	where	where	WRB
cord-328957-mzi8504f	266	18	C	c	NN
cord-328957-mzi8504f	266	19	∈	∈	NN
cord-328957-mzi8504f	267	1	N	N	NNP
cord-328957-mzi8504f	267	2	is	be	VBZ
cord-328957-mzi8504f	267	3	the	the	DT
cord-328957-mzi8504f	267	4	first	first	JJ
cord-328957-mzi8504f	267	5	index	index	NN
cord-328957-mzi8504f	267	6	that	that	WDT
cord-328957-mzi8504f	267	7	satisfies	satisfy	VBZ
cord-328957-mzi8504f	267	8	I	-PRON-	PRP
cord-328957-mzi8504f	267	9	c	c	NN
cord-328957-mzi8504f	267	10	(	(	-LRB-
cord-328957-mzi8504f	267	11	C	C	NNP
cord-328957-mzi8504f	267	12	)	)	-RRB-
cord-328957-mzi8504f	268	1	+	+	CC
cord-328957-mzi8504f	269	1	I	-PRON-	PRP
cord-328957-mzi8504f	269	2	a	a	DT
cord-328957-mzi8504f	269	3	(	(	-LRB-
cord-328957-mzi8504f	269	4	C	c	NN
cord-328957-mzi8504f	269	5	)	)	-RRB-
cord-328957-mzi8504f	269	6	=	=	SYM
cord-328957-mzi8504f	269	7	0	0	NFP
cord-328957-mzi8504f	269	8	.	.	.
cord-328957-mzi8504f	269	9	 	 	_SP
cord-328957-mzi8504f	270	1	Both	both	DT
cord-328957-mzi8504f	270	2	γ	γ	NN
cord-328957-mzi8504f	270	3	c	c	NN
cord-328957-mzi8504f	270	4	and	and	CC
cord-328957-mzi8504f	270	5	γ	γ	NNP
cord-328957-mzi8504f	270	6	a	a	DT
cord-328957-mzi8504f	270	7	are	be	VBP
cord-328957-mzi8504f	270	8	biological	biological	JJ
cord-328957-mzi8504f	270	9	properties	property	NNS
cord-328957-mzi8504f	270	10	of	of	IN
cord-328957-mzi8504f	270	11	the	the	DT
cord-328957-mzi8504f	270	12	disease	disease	NN
cord-328957-mzi8504f	270	13	;	;	:
cord-328957-mzi8504f	270	14	on	on	IN
cord-328957-mzi8504f	270	15	the	the	DT
cord-328957-mzi8504f	270	16	other	other	JJ
cord-328957-mzi8504f	270	17	hand	hand	NN
cord-328957-mzi8504f	270	18	,	,	,
cord-328957-mzi8504f	270	19	β	β	NNP
cord-328957-mzi8504f	270	20	aa	aa	NNP
cord-328957-mzi8504f	270	21	,	,	,
cord-328957-mzi8504f	270	22	β	β	NNP
cord-328957-mzi8504f	270	23	ac	ac	NNP
cord-328957-mzi8504f	270	24	,	,	,
cord-328957-mzi8504f	270	25	β	β	NNP
cord-328957-mzi8504f	270	26	ca	ca	NNP
cord-328957-mzi8504f	270	27	,	,	,
cord-328957-mzi8504f	270	28	286	286	CD
cord-328957-mzi8504f	270	29	and	and	CC
cord-328957-mzi8504f	271	1	β	β	NN
cord-328957-mzi8504f	271	2	cc	cc	NNP
cord-328957-mzi8504f	271	3	can	can	MD
cord-328957-mzi8504f	271	4	be	be	VB
cord-328957-mzi8504f	271	5	managed	manage	VBN
cord-328957-mzi8504f	271	6	using	use	VBG
cord-328957-mzi8504f	271	7	social	social	JJ
cord-328957-mzi8504f	271	8	distance	distance	NN
cord-328957-mzi8504f	271	9	,	,	,
cord-328957-mzi8504f	271	10	quarantine	quarantine	NN
cord-328957-mzi8504f	271	11	,	,	,
cord-328957-mzi8504f	271	12	masks	mask	NNS
cord-328957-mzi8504f	271	13	,	,	,
cord-328957-mzi8504f	271	14	and	and	CC
cord-328957-mzi8504f	271	15	other	other	JJ
cord-328957-mzi8504f	271	16	meth-287	meth-287	NNP
cord-328957-mzi8504f	271	17	ods	od	NNS
cord-328957-mzi8504f	271	18	.	.	.
cord-328957-mzi8504f	272	1	Figs	fig	NNS
cord-328957-mzi8504f	272	2	4a	4a	CD
cord-328957-mzi8504f	272	3	-4e	-4e	VBZ
cord-328957-mzi8504f	272	4	presents	present	VBZ
cord-328957-mzi8504f	272	5	five	five	CD
cord-328957-mzi8504f	272	6	projections	projection	NNS
cord-328957-mzi8504f	272	7	of	of	IN
cord-328957-mzi8504f	272	8	stability	stability	NN
cord-328957-mzi8504f	272	9	from	from	IN
cord-328957-mzi8504f	272	10	the	the	DT
cord-328957-mzi8504f	272	11	parameter	parameter	NN
cord-328957-mzi8504f	272	12	space	space	NN
cord-328957-mzi8504f	272	13	288	288	CD
cord-328957-mzi8504f	272	14	November	November	NNP
cord-328957-mzi8504f	272	15	2	2	CD
cord-328957-mzi8504f	272	16	,	,	,
cord-328957-mzi8504f	272	17	2020	2020	CD
cord-328957-mzi8504f	272	18	12/28	12/28	CD
cord-328957-mzi8504f	272	19	.	.	.
cord-328957-mzi8504f	273	1	CC	CC	NNP
cord-328957-mzi8504f	273	2	-	-	HYPH
cord-328957-mzi8504f	273	3	BY	BY	NNP
cord-328957-mzi8504f	273	4	-	-	HYPH
cord-328957-mzi8504f	273	5	NC	NC	NNP
cord-328957-mzi8504f	273	6	-	-	HYPH
cord-328957-mzi8504f	273	7	ND	ND	NNP
cord-328957-mzi8504f	273	8	4.0	4.0	CD
cord-328957-mzi8504f	273	9	International	international	JJ
cord-328957-mzi8504f	273	10	license	license	NN
cord-328957-mzi8504f	274	1	It	-PRON-	PRP
cord-328957-mzi8504f	274	2	is	be	VBZ
cord-328957-mzi8504f	274	3	made	make	VBN
cord-328957-mzi8504f	274	4	available	available	JJ
cord-328957-mzi8504f	274	5	under	under	IN
cord-328957-mzi8504f	274	6	a	a	DT
cord-328957-mzi8504f	275	1	is	be	VBZ
cord-328957-mzi8504f	275	2	the	the	DT
cord-328957-mzi8504f	275	3	author	author	NN
cord-328957-mzi8504f	275	4	/	/	SYM
cord-328957-mzi8504f	275	5	funder	funder	NN
cord-328957-mzi8504f	275	6	,	,	,
cord-328957-mzi8504f	275	7	who	who	WP
cord-328957-mzi8504f	275	8	has	have	VBZ
cord-328957-mzi8504f	275	9	granted	grant	VBN
cord-328957-mzi8504f	275	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	275	11	a	a	DT
cord-328957-mzi8504f	275	12	license	license	NN
cord-328957-mzi8504f	275	13	to	to	TO
cord-328957-mzi8504f	275	14	display	display	VB
cord-328957-mzi8504f	275	15	the	the	DT
cord-328957-mzi8504f	275	16	preprint	preprint	NN
cord-328957-mzi8504f	275	17	in	in	IN
cord-328957-mzi8504f	275	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	275	19	.	.	.
cord-328957-mzi8504f	276	1	The	the	DT
cord-328957-mzi8504f	276	2	copyright	copyright	NN
cord-328957-mzi8504f	276	3	holder	holder	NN
cord-328957-mzi8504f	276	4	for	for	IN
cord-328957-mzi8504f	276	5	this	this	DT
cord-328957-mzi8504f	276	6	preprint	preprint	NN
cord-328957-mzi8504f	276	7	this	this	DT
cord-328957-mzi8504f	276	8	version	version	NN
cord-328957-mzi8504f	276	9	posted	post	VBN
cord-328957-mzi8504f	276	10	November	November	NNP
cord-328957-mzi8504f	276	11	4	4	CD
cord-328957-mzi8504f	276	12	,	,	,
cord-328957-mzi8504f	276	13	2020	2020	CD
cord-328957-mzi8504f	276	14	.	.	.
cord-328957-mzi8504f	277	1	;	;	:
cord-328957-mzi8504f	277	2	https://doi.org/10.1101/2020.11.02.20224584	https://doi.org/10.1101/2020.11.02.20224584	NNP
cord-328957-mzi8504f	277	3	doi	doi	NN
cord-328957-mzi8504f	277	4	:	:	:
cord-328957-mzi8504f	278	1	medRxiv	medRxiv	NNP
cord-328957-mzi8504f	278	2	preprint	preprint	NNP
cord-328957-mzi8504f	278	3	{	{	-LRB-
cord-328957-mzi8504f	278	4	β	β	NNP
cord-328957-mzi8504f	278	5	aa	aa	NNP
cord-328957-mzi8504f	278	6	,	,	,
cord-328957-mzi8504f	278	7	β	β	NNP
cord-328957-mzi8504f	278	8	ac	ac	NNP
cord-328957-mzi8504f	278	9	,	,	,
cord-328957-mzi8504f	278	10	β	β	NNP
cord-328957-mzi8504f	278	11	ca	ca	NNP
cord-328957-mzi8504f	278	12	,	,	,
cord-328957-mzi8504f	278	13	β	β	NN
cord-328957-mzi8504f	278	14	cc	cc	NNP
cord-328957-mzi8504f	278	15	}	}	-RRB-
cord-328957-mzi8504f	278	16	calculated	calculate	VBD
cord-328957-mzi8504f	278	17	using	use	VBG
cord-328957-mzi8504f	278	18	Eq	Eq	NNP
cord-328957-mzi8504f	278	19	(	(	-LRB-
cord-328957-mzi8504f	278	20	16	16	CD
cord-328957-mzi8504f	278	21	)	)	-RRB-
cord-328957-mzi8504f	278	22	.	.	.
cord-328957-mzi8504f	279	1	Fig	fig	NN
cord-328957-mzi8504f	279	2	4a	4a	CD
cord-328957-mzi8504f	279	3	shows	show	VBZ
cord-328957-mzi8504f	279	4	the	the	DT
cord-328957-mzi8504f	279	5	β	β	NNP
cord-328957-mzi8504f	279	6	aa	aa	NNP
cord-328957-mzi8504f	279	7	−	−	NNP
cord-328957-mzi8504f	279	8	β	β	NNP
cord-328957-mzi8504f	279	9	ac	ac	NN
cord-328957-mzi8504f	279	10	projection	projection	NN
cord-328957-mzi8504f	279	11	289	289	CD
cord-328957-mzi8504f	279	12	where	where	WRB
cord-328957-mzi8504f	279	13	β	β	NN
cord-328957-mzi8504f	279	14	cc	cc	NN
cord-328957-mzi8504f	279	15	=	=	SYM
cord-328957-mzi8504f	279	16	0.308	0.308	CD
cord-328957-mzi8504f	279	17	,	,	,
cord-328957-mzi8504f	279	18	β	β	NN
cord-328957-mzi8504f	279	19	ca	ca	NN
cord-328957-mzi8504f	279	20	=	=	NN
cord-328957-mzi8504f	279	21	0.266	0.266	CD
cord-328957-mzi8504f	279	22	.	.	.
cord-328957-mzi8504f	280	1	There	there	EX
cord-328957-mzi8504f	280	2	are	be	VBP
cord-328957-mzi8504f	280	3	no	no	DT
cord-328957-mzi8504f	280	4	values	value	NNS
cord-328957-mzi8504f	280	5	such	such	JJ
cord-328957-mzi8504f	280	6	that	that	IN
cord-328957-mzi8504f	280	7	R	r	NN
cord-328957-mzi8504f	280	8	0	0	CD
cord-328957-mzi8504f	280	9	<	<	XX
cord-328957-mzi8504f	280	10	1	1	CD
cord-328957-mzi8504f	280	11	and	and	CC
cord-328957-mzi8504f	280	12	from	from	IN
cord-328957-mzi8504f	280	13	the	the	DT
cord-328957-mzi8504f	280	14	290	290	CD
cord-328957-mzi8504f	280	15	color	color	NN
cord-328957-mzi8504f	280	16	gradient	gradient	NN
cord-328957-mzi8504f	280	17	,	,	,
cord-328957-mzi8504f	280	18	it	-PRON-	PRP
cord-328957-mzi8504f	280	19	is	be	VBZ
cord-328957-mzi8504f	280	20	possible	possible	JJ
cord-328957-mzi8504f	280	21	to	to	TO
cord-328957-mzi8504f	280	22	see	see	VB
cord-328957-mzi8504f	280	23	that	that	IN
cord-328957-mzi8504f	280	24	β	β	NN
cord-328957-mzi8504f	280	25	ac	ac	NN
cord-328957-mzi8504f	280	26	has	have	VBZ
cord-328957-mzi8504f	280	27	slightly	slightly	RB
cord-328957-mzi8504f	280	28	more	more	JJR
cord-328957-mzi8504f	280	29	influence	influence	NN
cord-328957-mzi8504f	280	30	on	on	IN
cord-328957-mzi8504f	280	31	R	r	NN
cord-328957-mzi8504f	280	32	0	0	CD
cord-328957-mzi8504f	280	33	relatively	relatively	RB
cord-328957-mzi8504f	280	34	291	291	CD
cord-328957-mzi8504f	280	35	to	to	IN
cord-328957-mzi8504f	280	36	β	β	NNP
cord-328957-mzi8504f	280	37	aa	aa	NNP
cord-328957-mzi8504f	280	38	.	.	.
cord-328957-mzi8504f	281	1	Fig	fig	NN
cord-328957-mzi8504f	281	2	4b	4b	NNS
cord-328957-mzi8504f	281	3	shows	show	VBZ
cord-328957-mzi8504f	281	4	the	the	DT
cord-328957-mzi8504f	281	5	β	β	XX
cord-328957-mzi8504f	281	6	aa	aa	NNP
cord-328957-mzi8504f	281	7	−	−	NNP
cord-328957-mzi8504f	281	8	β	β	NN
cord-328957-mzi8504f	281	9	ca	ca	MD
cord-328957-mzi8504f	281	10	projection	projection	NN
cord-328957-mzi8504f	281	11	where	where	WRB
cord-328957-mzi8504f	281	12	β	β	NN
cord-328957-mzi8504f	281	13	cc	cc	NN
cord-328957-mzi8504f	281	14	=	=	SYM
cord-328957-mzi8504f	281	15	0.308	0.308	CD
cord-328957-mzi8504f	281	16	,	,	,
cord-328957-mzi8504f	281	17	β	β	NN
cord-328957-mzi8504f	281	18	ac	ac	NN
cord-328957-mzi8504f	281	19	=	=	NN
cord-328957-mzi8504f	281	20	0	0	CD
cord-328957-mzi8504f	281	21	.	.	.
cord-328957-mzi8504f	282	1	There	there	EX
cord-328957-mzi8504f	282	2	are	be	VBP
cord-328957-mzi8504f	282	3	no	no	DT
cord-328957-mzi8504f	282	4	292	292	CD
cord-328957-mzi8504f	282	5	values	value	NNS
cord-328957-mzi8504f	282	6	such	such	JJ
cord-328957-mzi8504f	282	7	that	that	IN
cord-328957-mzi8504f	282	8	R	r	NN
cord-328957-mzi8504f	282	9	0	0	CD
cord-328957-mzi8504f	282	10	<	<	XX
cord-328957-mzi8504f	282	11	1	1	CD
cord-328957-mzi8504f	282	12	and	and	CC
cord-328957-mzi8504f	282	13	from	from	IN
cord-328957-mzi8504f	282	14	the	the	DT
cord-328957-mzi8504f	282	15	color	color	NN
cord-328957-mzi8504f	282	16	gradient	gradient	NN
cord-328957-mzi8504f	282	17	,	,	,
cord-328957-mzi8504f	282	18	it	-PRON-	PRP
cord-328957-mzi8504f	282	19	is	be	VBZ
cord-328957-mzi8504f	282	20	possible	possible	JJ
cord-328957-mzi8504f	282	21	to	to	TO
cord-328957-mzi8504f	282	22	see	see	VB
cord-328957-mzi8504f	282	23	that	that	IN
cord-328957-mzi8504f	282	24	β	β	NNP
cord-328957-mzi8504f	282	25	aa	aa	NNP
cord-328957-mzi8504f	282	26	has	have	VBZ
cord-328957-mzi8504f	282	27	293	293	CD
cord-328957-mzi8504f	282	28	a	a	DT
cord-328957-mzi8504f	282	29	minor	minor	JJ
cord-328957-mzi8504f	282	30	to	to	IN
cord-328957-mzi8504f	282	31	no	no	DT
cord-328957-mzi8504f	282	32	influence	influence	NN
cord-328957-mzi8504f	282	33	on	on	IN
cord-328957-mzi8504f	282	34	R	r	NN
cord-328957-mzi8504f	282	35	0	0	CD
cord-328957-mzi8504f	282	36	relatively	relatively	RB
cord-328957-mzi8504f	282	37	to	to	IN
cord-328957-mzi8504f	282	38	β	β	NN
cord-328957-mzi8504f	282	39	ca	ca	NN
cord-328957-mzi8504f	282	40	.	.	.
cord-328957-mzi8504f	283	1	Fig	fig	NN
cord-328957-mzi8504f	283	2	4c	4c	CD
cord-328957-mzi8504f	283	3	shows	show	VBZ
cord-328957-mzi8504f	283	4	the	the	DT
cord-328957-mzi8504f	283	5	β	β	NN
cord-328957-mzi8504f	283	6	cc	cc	NNP
cord-328957-mzi8504f	283	7	−	−	NN
cord-328957-mzi8504f	283	8	β	β	NN
cord-328957-mzi8504f	283	9	ca	ca	MD
cord-328957-mzi8504f	283	10	projection	projection	NN
cord-328957-mzi8504f	283	11	294	294	CD
cord-328957-mzi8504f	283	12	where	where	WRB
cord-328957-mzi8504f	283	13	β	β	NNP
cord-328957-mzi8504f	283	14	aa	aa	NNP
cord-328957-mzi8504f	283	15	=	=	NNP
cord-328957-mzi8504f	283	16	0.308	0.308	CD
cord-328957-mzi8504f	283	17	,	,	,
cord-328957-mzi8504f	284	1	β	β	NN
cord-328957-mzi8504f	284	2	ca	ca	NN
cord-328957-mzi8504f	284	3	=	=	NN
cord-328957-mzi8504f	284	4	0.266	0.266	CD
cord-328957-mzi8504f	284	5	.	.	.
cord-328957-mzi8504f	285	1	R	r	NN
cord-328957-mzi8504f	285	2	0	0	CD
cord-328957-mzi8504f	285	3	<	<	XX
cord-328957-mzi8504f	285	4	1	1	CD
cord-328957-mzi8504f	285	5	for	for	IN
cord-328957-mzi8504f	285	6	any	any	DT
cord-328957-mzi8504f	285	7	combination	combination	NN
cord-328957-mzi8504f	285	8	of	of	IN
cord-328957-mzi8504f	285	9	β	β	NN
cord-328957-mzi8504f	285	10	cc	cc	CD
cord-328957-mzi8504f	285	11	,	,	.
cord-328957-mzi8504f	286	1	β	β	NNP
cord-328957-mzi8504f	286	2	ac	ac	NNP
cord-328957-mzi8504f	287	1	such	such	JJ
cord-328957-mzi8504f	287	2	that	that	IN
cord-328957-mzi8504f	287	3	295	295	CD
cord-328957-mzi8504f	287	4	β	β	NN
cord-328957-mzi8504f	287	5	ac	ac	NN
cord-328957-mzi8504f	287	6	<	<	XX
cord-328957-mzi8504f	287	7	0.08	0.08	CD
cord-328957-mzi8504f	287	8	−	−	NNP
cord-328957-mzi8504f	287	9	1.6β	1.6β	CD
cord-328957-mzi8504f	287	10	cc	cc	NN
cord-328957-mzi8504f	287	11	.	.	.
cord-328957-mzi8504f	288	1	Fig	Fig	NNP
cord-328957-mzi8504f	288	2	4d	4d	CD
cord-328957-mzi8504f	288	3	shows	show	VBZ
cord-328957-mzi8504f	288	4	the	the	DT
cord-328957-mzi8504f	288	5	β	β	NN
cord-328957-mzi8504f	288	6	cc	cc	NNP
cord-328957-mzi8504f	288	7	−	−	NN
cord-328957-mzi8504f	288	8	β	β	NN
cord-328957-mzi8504f	288	9	ac	ac	NN
cord-328957-mzi8504f	288	10	projection	projection	NN
cord-328957-mzi8504f	288	11	where	where	WRB
cord-328957-mzi8504f	288	12	β	β	NNP
cord-328957-mzi8504f	288	13	aa	aa	NNP
cord-328957-mzi8504f	288	14	=	=	NNP
cord-328957-mzi8504f	288	15	0.308	0.308	CD
cord-328957-mzi8504f	288	16	,	,	,
cord-328957-mzi8504f	289	1	β	β	NN
cord-328957-mzi8504f	289	2	ac	ac	NN
cord-328957-mzi8504f	289	3	=	=	NN
cord-328957-mzi8504f	289	4	0	0	CD
cord-328957-mzi8504f	289	5	.	.	.
cord-328957-mzi8504f	290	1	296	296	CD
cord-328957-mzi8504f	290	2	R	r	NN
cord-328957-mzi8504f	290	3	0	0	CD
cord-328957-mzi8504f	290	4	<	<	XX
cord-328957-mzi8504f	290	5	1	1	CD
cord-328957-mzi8504f	290	6	for	for	IN
cord-328957-mzi8504f	290	7	any	any	DT
cord-328957-mzi8504f	290	8	combination	combination	NN
cord-328957-mzi8504f	290	9	of	of	IN
cord-328957-mzi8504f	290	10	β	β	NN
cord-328957-mzi8504f	290	11	cc	cc	NNP
cord-328957-mzi8504f	290	12	,	,	,
cord-328957-mzi8504f	290	13	β	β	NN
cord-328957-mzi8504f	290	14	ac	ac	NN
cord-328957-mzi8504f	290	15	such	such	JJ
cord-328957-mzi8504f	290	16	that	that	DT
cord-328957-mzi8504f	291	1	β	β	NN
cord-328957-mzi8504f	291	2	cc	cc	NNP
cord-328957-mzi8504f	291	3	≤	≤	NNP
cord-328957-mzi8504f	291	4	0.3	0.3	CD
cord-328957-mzi8504f	291	5	.	.	.
cord-328957-mzi8504f	292	1	Fig	Fig	NNP
cord-328957-mzi8504f	292	2	4e	4e	CD
cord-328957-mzi8504f	292	3	shows	show	VBZ
cord-328957-mzi8504f	292	4	the	the	DT
cord-328957-mzi8504f	292	5	β	β	NNP
cord-328957-mzi8504f	292	6	aa	aa	NNP
cord-328957-mzi8504f	292	7	−	−	NNP
cord-328957-mzi8504f	292	8	β	β	NN
cord-328957-mzi8504f	292	9	cc	cc	NN
cord-328957-mzi8504f	292	10	297	297	CD
cord-328957-mzi8504f	292	11	projection	projection	NN
cord-328957-mzi8504f	292	12	where	where	WRB
cord-328957-mzi8504f	292	13	β	β	NN
cord-328957-mzi8504f	292	14	ca	ca	NN
cord-328957-mzi8504f	292	15	=	=	NN
cord-328957-mzi8504f	292	16	0.266	0.266	.
cord-328957-mzi8504f	293	1	,	,	,
cord-328957-mzi8504f	294	1	β	β	NN
cord-328957-mzi8504f	294	2	ac	ac	NN
cord-328957-mzi8504f	294	3	=	=	NN
cord-328957-mzi8504f	294	4	0	0	CD
cord-328957-mzi8504f	294	5	.	.	.
cord-328957-mzi8504f	295	1	R	r	NN
cord-328957-mzi8504f	295	2	0	0	CD
cord-328957-mzi8504f	295	3	<	<	XX
cord-328957-mzi8504f	295	4	1	1	CD
cord-328957-mzi8504f	295	5	for	for	IN
cord-328957-mzi8504f	295	6	any	any	DT
cord-328957-mzi8504f	295	7	combination	combination	NN
cord-328957-mzi8504f	295	8	of	of	IN
cord-328957-mzi8504f	295	9	β	β	NNP
cord-328957-mzi8504f	295	10	aa	aa	NNP
cord-328957-mzi8504f	295	11	,	,	,
cord-328957-mzi8504f	295	12	β	β	NNP
cord-328957-mzi8504f	295	13	cc	cc	VBD
cord-328957-mzi8504f	295	14	such	such	JJ
cord-328957-mzi8504f	295	15	that	that	IN
cord-328957-mzi8504f	295	16	298	298	CD
cord-328957-mzi8504f	295	17	β	β	NN
cord-328957-mzi8504f	295	18	cc	cc	NN
cord-328957-mzi8504f	295	19	<	<	XX
cord-328957-mzi8504f	295	20	0.9	0.9	CD
cord-328957-mzi8504f	295	21	−	−	NN
cord-328957-mzi8504f	295	22	0.155β	0.155β	NNP
cord-328957-mzi8504f	295	23	aa	aa	NNP
cord-328957-mzi8504f	295	24	.	.	.
cord-328957-mzi8504f	296	1	In	in	IN
cord-328957-mzi8504f	296	2	order	order	NN
cord-328957-mzi8504f	296	3	to	to	TO
cord-328957-mzi8504f	296	4	obtain	obtain	VB
cord-328957-mzi8504f	296	5	the	the	DT
cord-328957-mzi8504f	296	6	equilibria	equilibria	JJ
cord-328957-mzi8504f	296	7	points	point	NNS
cord-328957-mzi8504f	296	8	of	of	IN
cord-328957-mzi8504f	296	9	the	the	DT
cord-328957-mzi8504f	296	10	model	model	NN
cord-328957-mzi8504f	296	11	and	and	CC
cord-328957-mzi8504f	296	12	their	-PRON-	PRP$
cord-328957-mzi8504f	296	13	stability	stability	NN
cord-328957-mzi8504f	296	14	properties	property	NNS
cord-328957-mzi8504f	296	15	,	,	,
cord-328957-mzi8504f	296	16	300	300	CD
cord-328957-mzi8504f	296	17	the	the	DT
cord-328957-mzi8504f	296	18	Jacobian	Jacobian	NNP
cord-328957-mzi8504f	296	19	(	(	-LRB-
cord-328957-mzi8504f	296	20	J	J	NNP
cord-328957-mzi8504f	296	21	)	)	-RRB-
cord-328957-mzi8504f	296	22	is	be	VBZ
cord-328957-mzi8504f	296	23	obtained	obtain	VBN
cord-328957-mzi8504f	296	24	by	by	IN
cord-328957-mzi8504f	296	25	linearizing	linearize	VBG
cord-328957-mzi8504f	296	26	Eqs	Eqs	NNP
cord-328957-mzi8504f	296	27	(	(	-LRB-
cord-328957-mzi8504f	296	28	3	3	CD
cord-328957-mzi8504f	296	29	)	)	-RRB-
cord-328957-mzi8504f	296	30	and	and	CC
cord-328957-mzi8504f	296	31	(	(	-LRB-
cord-328957-mzi8504f	296	32	4	4	LS
cord-328957-mzi8504f	296	33	)	)	-RRB-
cord-328957-mzi8504f	296	34	in	in	IN
cord-328957-mzi8504f	296	35	the	the	DT
cord-328957-mzi8504f	296	36	system	system	NN
cord-328957-mzi8504f	296	37	(	(	-LRB-
cord-328957-mzi8504f	296	38	Eqs	Eqs	NNP
cord-328957-mzi8504f	296	39	(	(	-LRB-
cord-328957-mzi8504f	296	40	1	1	CD
cord-328957-mzi8504f	296	41	-8	-8	NNPS
cord-328957-mzi8504f	296	42	)	)	-RRB-
cord-328957-mzi8504f	296	43	)	)	-RRB-
cord-328957-mzi8504f	296	44	.	.	.
cord-328957-mzi8504f	297	1	301	301	CD
cord-328957-mzi8504f	298	1	The	the	DT
cord-328957-mzi8504f	298	2	calculations	calculation	NNS
cord-328957-mzi8504f	298	3	show	show	VBP
cord-328957-mzi8504f	298	4	that	that	IN
cord-328957-mzi8504f	298	5	 	 	_SP
cord-328957-mzi8504f	298	6	The	the	DT
cord-328957-mzi8504f	298	7	system	system	NN
cord-328957-mzi8504f	298	8	(	(	-LRB-
cord-328957-mzi8504f	298	9	Eqs	Eqs	NNP
cord-328957-mzi8504f	298	10	(	(	-LRB-
cord-328957-mzi8504f	298	11	9	9	CD
cord-328957-mzi8504f	298	12	-	-	SYM
cord-328957-mzi8504f	298	13	10	10	CD
cord-328957-mzi8504f	298	14	)	)	-RRB-
cord-328957-mzi8504f	298	15	)	)	-RRB-
cord-328957-mzi8504f	298	16	has	have	VBZ
cord-328957-mzi8504f	298	17	four	four	CD
cord-328957-mzi8504f	298	18	non	non	JJ
cord-328957-mzi8504f	298	19	-	-	JJ
cord-328957-mzi8504f	298	20	trivial	trivial	JJ
cord-328957-mzi8504f	298	21	equilibria	equilibrium	NNS
cord-328957-mzi8504f	298	22	which	which	WDT
cord-328957-mzi8504f	298	23	may	may	MD
cord-328957-mzi8504f	298	24	be	be	VB
cord-328957-mzi8504f	298	25	found	find	VBN
cord-328957-mzi8504f	298	26	by	by	IN
cord-328957-mzi8504f	298	27	setting	set	VBG
cord-328957-mzi8504f	298	28	303	303	CD
cord-328957-mzi8504f	298	29	all	all	DT
cord-328957-mzi8504f	298	30	rates	rate	NNS
cord-328957-mzi8504f	298	31	in	in	IN
cord-328957-mzi8504f	298	32	Eq	Eq	NNP
cord-328957-mzi8504f	298	33	(	(	-LRB-
cord-328957-mzi8504f	298	34	9	9	CD
cord-328957-mzi8504f	298	35	)	)	-RRB-
cord-328957-mzi8504f	298	36	to	to	IN
cord-328957-mzi8504f	298	37	zero	zero	CD
cord-328957-mzi8504f	298	38	;	;	,
cord-328957-mzi8504f	298	39	marked	mark	VBN
cord-328957-mzi8504f	298	40	by	by	IN
cord-328957-mzi8504f	298	41	EQ	EQ	NNP
cord-328957-mzi8504f	298	42	1	1	CD
cord-328957-mzi8504f	298	43	,	,	,
cord-328957-mzi8504f	298	44	EQ	EQ	NNP
cord-328957-mzi8504f	298	45	2	2	CD
cord-328957-mzi8504f	298	46	,	,	,
cord-328957-mzi8504f	298	47	EQ	EQ	NNP
cord-328957-mzi8504f	298	48	3	3	CD
cord-328957-mzi8504f	298	49	,	,	,
cord-328957-mzi8504f	298	50	and	and	CC
cord-328957-mzi8504f	298	51	EQ	EQ	NNP
cord-328957-mzi8504f	298	52	4	4	CD
cord-328957-mzi8504f	298	53	.	.	.
cord-328957-mzi8504f	299	1	Thus	thus	RB
cord-328957-mzi8504f	299	2	equilibria	equilibrium	NNS
cord-328957-mzi8504f	299	3	are	be	VBP
cord-328957-mzi8504f	299	4	304	304	CD
cord-328957-mzi8504f	299	5	provided	provide	VBN
cord-328957-mzi8504f	299	6	as	as	IN
cord-328957-mzi8504f	299	7	the	the	DT
cord-328957-mzi8504f	299	8	state	state	NN
cord-328957-mzi8504f	299	9	vector	vector	NN
cord-328957-mzi8504f	299	10	of	of	IN
cord-328957-mzi8504f	299	11	the	the	DT
cord-328957-mzi8504f	299	12	eight	eight	CD
cord-328957-mzi8504f	299	13	population	population	NN
cord-328957-mzi8504f	299	14	states	state	NNS
cord-328957-mzi8504f	299	15	in	in	IN
cord-328957-mzi8504f	299	16	Table	Table	NNP
cord-328957-mzi8504f	299	17	3	3	CD
cord-328957-mzi8504f	299	18	,	,	,
cord-328957-mzi8504f	299	19	where	where	WRB
cord-328957-mzi8504f	299	20	There	there	EX
cord-328957-mzi8504f	299	21	are	be	VBP
cord-328957-mzi8504f	299	22	other	other	JJ
cord-328957-mzi8504f	299	23	equilibria	equilibrium	NNS
cord-328957-mzi8504f	299	24	for	for	IN
cord-328957-mzi8504f	299	25	trivial	trivial	JJ
cord-328957-mzi8504f	299	26	cases	case	NNS
cord-328957-mzi8504f	299	27	such	such	JJ
cord-328957-mzi8504f	299	28	as	as	IN
cord-328957-mzi8504f	299	29	S	S	NNP
cord-328957-mzi8504f	299	30	a	a	NNP
cord-328957-mzi8504f	299	31	(	(	-LRB-
cord-328957-mzi8504f	299	32	0	0	NFP
cord-328957-mzi8504f	299	33	)	)	-RRB-
cord-328957-mzi8504f	299	34	=	=	SYM
cord-328957-mzi8504f	299	35	0	0	NFP
cord-328957-mzi8504f	299	36	or	or	CC
cord-328957-mzi8504f	299	37	S	s	NN
cord-328957-mzi8504f	299	38	c	c	NN
cord-328957-mzi8504f	299	39	(	(	-LRB-
cord-328957-mzi8504f	299	40	0	0	NFP
cord-328957-mzi8504f	299	41	)	)	-RRB-
cord-328957-mzi8504f	299	42	=	=	SYM
cord-328957-mzi8504f	299	43	0	0	NFP
cord-328957-mzi8504f	299	44	which	which	WDT
cord-328957-mzi8504f	299	45	are	be	VBP
cord-328957-mzi8504f	299	46	306	306	CD
cord-328957-mzi8504f	299	47	unrealistic	unrealistic	JJ
cord-328957-mzi8504f	299	48	for	for	IN
cord-328957-mzi8504f	299	49	real	real	JJ
cord-328957-mzi8504f	299	50	-	-	HYPH
cord-328957-mzi8504f	299	51	world	world	NN
cord-328957-mzi8504f	299	52	dynamics	dynamic	NNS
cord-328957-mzi8504f	299	53	.	.	.
cord-328957-mzi8504f	300	1	Below	below	IN
cord-328957-mzi8504f	300	2	we	-PRON-	PRP
cord-328957-mzi8504f	300	3	investigate	investigate	VBP
cord-328957-mzi8504f	300	4	the	the	DT
cord-328957-mzi8504f	300	5	stability	stability	NN
cord-328957-mzi8504f	300	6	of	of	IN
cord-328957-mzi8504f	300	7	four	four	CD
cord-328957-mzi8504f	300	8	nontrivial	nontrivial	JJ
cord-328957-mzi8504f	300	9	307	307	CD
cord-328957-mzi8504f	300	10	equilibria	equilibrium	NNS
cord-328957-mzi8504f	300	11	.	.	.
cord-328957-mzi8504f	301	1	308	308	CD
cord-328957-mzi8504f	301	2	EQ	eq	NN
cord-328957-mzi8504f	301	3	1	1	CD
cord-328957-mzi8504f	301	4	:	:	:
cord-328957-mzi8504f	301	5	is	be	VBZ
cord-328957-mzi8504f	301	6	the	the	DT
cord-328957-mzi8504f	301	7	case	case	NN
cord-328957-mzi8504f	301	8	for	for	IN
cord-328957-mzi8504f	301	9	I	I	NNP
cord-328957-mzi8504f	301	10	c	c	NNP
cord-328957-mzi8504f	301	11	(	(	-LRB-
cord-328957-mzi8504f	301	12	t	t	NN
cord-328957-mzi8504f	301	13	)	)	-RRB-
cord-328957-mzi8504f	301	14	=	=	NFP
cord-328957-mzi8504f	302	1	I	-PRON-	PRP
cord-328957-mzi8504f	302	2	a	a	DT
cord-328957-mzi8504f	302	3	(	(	-LRB-
cord-328957-mzi8504f	302	4	t	t	NN
cord-328957-mzi8504f	302	5	)	)	-RRB-
cord-328957-mzi8504f	302	6	=	=	SYM
cord-328957-mzi8504f	302	7	0	0	NFP
cord-328957-mzi8504f	302	8	for	for	IN
cord-328957-mzi8504f	302	9	every	every	DT
cord-328957-mzi8504f	302	10	t	t	NN
cord-328957-mzi8504f	302	11	∈	∈	NN
cord-328957-mzi8504f	303	1	N	n	LS
cord-328957-mzi8504f	303	2	(	(	-LRB-
cord-328957-mzi8504f	303	3	see	see	VB
cord-328957-mzi8504f	303	4	Table	Table	NNP
cord-328957-mzi8504f	303	5	3	3	CD
cord-328957-mzi8504f	303	6	)	)	-RRB-
cord-328957-mzi8504f	303	7	.	.	.
cord-328957-mzi8504f	304	1	This	this	DT
cord-328957-mzi8504f	304	2	is	be	VBZ
cord-328957-mzi8504f	304	3	a	a	DT
cord-328957-mzi8504f	304	4	trivial	trivial	JJ
cord-328957-mzi8504f	304	5	309	309	CD
cord-328957-mzi8504f	304	6	equilibrium	equilibrium	NN
cord-328957-mzi8504f	304	7	where	where	WRB
cord-328957-mzi8504f	304	8	there	there	EX
cord-328957-mzi8504f	304	9	is	be	VBZ
cord-328957-mzi8504f	304	10	no	no	DT
cord-328957-mzi8504f	304	11	epidemic	epidemic	NN
cord-328957-mzi8504f	304	12	at	at	RB
cord-328957-mzi8504f	304	13	all	all	RB
cord-328957-mzi8504f	304	14	.	.	.
cord-328957-mzi8504f	305	1	Because	because	IN
cord-328957-mzi8504f	305	2	the	the	DT
cord-328957-mzi8504f	305	3	model	model	NN
cord-328957-mzi8504f	305	4	does	do	VBZ
cord-328957-mzi8504f	305	5	not	not	RB
cord-328957-mzi8504f	305	6	take	take	VB
cord-328957-mzi8504f	305	7	into	into	IN
cord-328957-mzi8504f	305	8	310	310	CD
cord-328957-mzi8504f	305	9	consideration	consideration	NN
cord-328957-mzi8504f	305	10	the	the	DT
cord-328957-mzi8504f	305	11	birth	birth	NN
cord-328957-mzi8504f	305	12	of	of	IN
cord-328957-mzi8504f	305	13	new	new	JJ
cord-328957-mzi8504f	305	14	children	child	NNS
cord-328957-mzi8504f	305	15	,	,	,
cord-328957-mzi8504f	305	16	after	after	IN
cord-328957-mzi8504f	305	17	A	a	DT
cord-328957-mzi8504f	305	18	days	day	NNS
cord-328957-mzi8504f	305	19	all	all	DT
cord-328957-mzi8504f	305	20	children	child	NNS
cord-328957-mzi8504f	305	21	become	become	VBP
cord-328957-mzi8504f	305	22	adults	adult	NNS
cord-328957-mzi8504f	305	23	and	and	CC
cord-328957-mzi8504f	305	24	EQ	eq	NN
cord-328957-mzi8504f	305	25	1	1	CD
cord-328957-mzi8504f	305	26	311	311	CD
cord-328957-mzi8504f	305	27	is	be	VBZ
cord-328957-mzi8504f	305	28	derived	derive	VBN
cord-328957-mzi8504f	305	29	.	.	.
cord-328957-mzi8504f	306	1	By	by	IN
cord-328957-mzi8504f	306	2	settings	setting	NNS
cord-328957-mzi8504f	306	3	J(EQ	J(EQ	NNP
cord-328957-mzi8504f	306	4	1	1	CD
cord-328957-mzi8504f	306	5	)	)	-RRB-
cord-328957-mzi8504f	306	6	,	,	,
cord-328957-mzi8504f	306	7	all	all	DT
cord-328957-mzi8504f	306	8	eigenvalues	eigenvalue	NNS
cord-328957-mzi8504f	306	9	are	be	VBP
cord-328957-mzi8504f	306	10	negative	negative	JJ
cord-328957-mzi8504f	306	11	for	for	IN
cord-328957-mzi8504f	306	12	all	all	DT
cord-328957-mzi8504f	306	13	parameter	parameter	NN
cord-328957-mzi8504f	306	14	values	value	NNS
cord-328957-mzi8504f	306	15	312	312	CD
cord-328957-mzi8504f	306	16	except	except	IN
cord-328957-mzi8504f	306	17	λ	λ	NN
cord-328957-mzi8504f	306	18	=	=	NFP
cord-328957-mzi8504f	306	19	−γ	−γ	VBN
cord-328957-mzi8504f	306	20	a	a	DT
cord-328957-mzi8504f	306	21	+	+	NN
cord-328957-mzi8504f	307	1	β	β	NNP
cord-328957-mzi8504f	307	2	aa	aa	NNP
cord-328957-mzi8504f	307	3	N	N	NNP
cord-328957-mzi8504f	307	4	a+N	a+N	NNP
cord-328957-mzi8504f	307	5	c	c	NN
cord-328957-mzi8504f	307	6	N	n	NN
cord-328957-mzi8504f	307	7	a	a	NN
cord-328957-mzi8504f	307	8	.	.	.
cord-328957-mzi8504f	308	1	Therefore	therefore	RB
cord-328957-mzi8504f	308	2	,	,	,
cord-328957-mzi8504f	308	3	this	this	DT
cord-328957-mzi8504f	308	4	equilibrium	equilibrium	NN
cord-328957-mzi8504f	308	5	is	be	VBZ
cord-328957-mzi8504f	308	6	stable	stable	JJ
cord-328957-mzi8504f	308	7	if	if	IN
cord-328957-mzi8504f	308	8	β	β	NN
cord-328957-mzi8504f	309	1	aa	aa	NNP
cord-328957-mzi8504f	309	2	N	N	NNP
cord-328957-mzi8504f	309	3	a+N	a+N	NNP
cord-328957-mzi8504f	309	4	c	c	NN
cord-328957-mzi8504f	309	5	N	n	NN
cord-328957-mzi8504f	309	6	a	a	DT
cord-328957-mzi8504f	309	7	<	<	XX
cord-328957-mzi8504f	309	8	γ	γ	NNP
cord-328957-mzi8504f	309	9	a	a	NN
cord-328957-mzi8504f	309	10	.	.	.
cord-328957-mzi8504f	310	1	EQ	EQ	NNP
cord-328957-mzi8504f	310	2	2	2	CD
cord-328957-mzi8504f	310	3	:	:	:
cord-328957-mzi8504f	310	4	is	be	VBZ
cord-328957-mzi8504f	310	5	the	the	DT
cord-328957-mzi8504f	310	6	case	case	NN
cord-328957-mzi8504f	310	7	for	for	IN
cord-328957-mzi8504f	310	8	I	-PRON-	PRP
cord-328957-mzi8504f	310	9	a	a	DT
cord-328957-mzi8504f	310	10	(	(	-LRB-
cord-328957-mzi8504f	310	11	t	t	NN
cord-328957-mzi8504f	310	12	)	)	-RRB-
cord-328957-mzi8504f	310	13	=	=	SYM
cord-328957-mzi8504f	310	14	0	0	NFP
cord-328957-mzi8504f	311	1	for	for	IN
cord-328957-mzi8504f	311	2	every	every	DT
cord-328957-mzi8504f	311	3	t	t	NN
cord-328957-mzi8504f	311	4	∈	∈	NN
cord-328957-mzi8504f	312	1	N	n	LS
cord-328957-mzi8504f	312	2	(	(	-LRB-
cord-328957-mzi8504f	312	3	see	see	VB
cord-328957-mzi8504f	312	4	Table	Table	NNP
cord-328957-mzi8504f	312	5	3	3	CD
cord-328957-mzi8504f	312	6	)	)	-RRB-
cord-328957-mzi8504f	312	7	.	.	.
cord-328957-mzi8504f	313	1	This	this	DT
cord-328957-mzi8504f	313	2	equilibrium	equilibrium	NN
cord-328957-mzi8504f	313	3	can	can	MD
cord-328957-mzi8504f	313	4	be	be	VB
cord-328957-mzi8504f	313	5	314	314	CD
cord-328957-mzi8504f	313	6	achieved	achieve	VBN
cord-328957-mzi8504f	313	7	if	if	IN
cord-328957-mzi8504f	313	8	β	β	NN
cord-328957-mzi8504f	313	9	ac	ac	NN
cord-328957-mzi8504f	313	10	=	=	NN
cord-328957-mzi8504f	313	11	0	0	NFP
cord-328957-mzi8504f	313	12	because	because	IN
cord-328957-mzi8504f	313	13	in	in	IN
cord-328957-mzi8504f	313	14	any	any	DT
cord-328957-mzi8504f	313	15	other	other	JJ
cord-328957-mzi8504f	313	16	case	case	NN
cord-328957-mzi8504f	313	17	(	(	-LRB-
cord-328957-mzi8504f	313	18	assuming	assume	VBG
cord-328957-mzi8504f	313	19	S	S	NNP
cord-328957-mzi8504f	313	20	a	a	NNP
cord-328957-mzi8504f	313	21	(	(	-LRB-
cord-328957-mzi8504f	313	22	0	0	NFP
cord-328957-mzi8504f	313	23	)	)	-RRB-
cord-328957-mzi8504f	313	24	>	>	XX
cord-328957-mzi8504f	313	25	0	0	NFP
cord-328957-mzi8504f	313	26	)	)	-RRB-
cord-328957-mzi8504f	313	27	exists	exist	VBZ
cord-328957-mzi8504f	313	28	time	time	NN
cord-328957-mzi8504f	313	29	t	t	NN
cord-328957-mzi8504f	313	30	such	such	JJ
cord-328957-mzi8504f	313	31	315	315	CD
cord-328957-mzi8504f	313	32	that	that	IN
cord-328957-mzi8504f	313	33	dIa(t	dIa(t	NNP
cord-328957-mzi8504f	313	34	)	)	-RRB-
cord-328957-mzi8504f	313	35	dt	dt	NN
cord-328957-mzi8504f	313	36	>	>	XX
cord-328957-mzi8504f	313	37	0	0	CD
cord-328957-mzi8504f	314	1	and	and	CC
cord-328957-mzi8504f	314	2	therefore	therefore	RB
cord-328957-mzi8504f	314	3	I	-PRON-	PRP
cord-328957-mzi8504f	314	4	a	a	DT
cord-328957-mzi8504f	314	5	(	(	-LRB-
cord-328957-mzi8504f	314	6	t	t	NN
cord-328957-mzi8504f	314	7	+	+	SYM
cord-328957-mzi8504f	314	8	1	1	CD
cord-328957-mzi8504f	314	9	)	)	-RRB-
cord-328957-mzi8504f	314	10	=	=	NFP
cord-328957-mzi8504f	315	1	0	0	NFP
cord-328957-mzi8504f	315	2	.	.	.
cord-328957-mzi8504f	316	1	316	316	CD
cord-328957-mzi8504f	316	2	EQ	eq	NN
cord-328957-mzi8504f	316	3	3	3	CD
cord-328957-mzi8504f	316	4	:	:	:
cord-328957-mzi8504f	316	5	is	be	VBZ
cord-328957-mzi8504f	316	6	the	the	DT
cord-328957-mzi8504f	316	7	case	case	NN
cord-328957-mzi8504f	316	8	for	for	IN
cord-328957-mzi8504f	316	9	I	I	NNP
cord-328957-mzi8504f	316	10	c	c	NNP
cord-328957-mzi8504f	316	11	(	(	-LRB-
cord-328957-mzi8504f	316	12	t	t	NN
cord-328957-mzi8504f	316	13	)	)	-RRB-
cord-328957-mzi8504f	316	14	=	=	SYM
cord-328957-mzi8504f	316	15	0	0	NFP
cord-328957-mzi8504f	317	1	for	for	IN
cord-328957-mzi8504f	317	2	every	every	DT
cord-328957-mzi8504f	317	3	t	t	NN
cord-328957-mzi8504f	317	4	∈	∈	NN
cord-328957-mzi8504f	318	1	N	n	LS
cord-328957-mzi8504f	318	2	(	(	-LRB-
cord-328957-mzi8504f	318	3	see	see	VB
cord-328957-mzi8504f	318	4	Table	Table	NNP
cord-328957-mzi8504f	318	5	3	3	CD
cord-328957-mzi8504f	318	6	)	)	-RRB-
cord-328957-mzi8504f	318	7	.	.	.
cord-328957-mzi8504f	319	1	This	this	DT
cord-328957-mzi8504f	319	2	equilibrium	equilibrium	NN
cord-328957-mzi8504f	319	3	can	can	MD
cord-328957-mzi8504f	319	4	be	be	VB
cord-328957-mzi8504f	319	5	317	317	CD
cord-328957-mzi8504f	319	6	achieved	achieve	VBN
cord-328957-mzi8504f	319	7	if	if	IN
cord-328957-mzi8504f	319	8	β	β	NN
cord-328957-mzi8504f	319	9	ca	ca	NN
cord-328957-mzi8504f	319	10	=	=	SYM
cord-328957-mzi8504f	319	11	0	0	NFP
cord-328957-mzi8504f	319	12	because	because	IN
cord-328957-mzi8504f	319	13	in	in	IN
cord-328957-mzi8504f	319	14	any	any	DT
cord-328957-mzi8504f	319	15	other	other	JJ
cord-328957-mzi8504f	319	16	case	case	NN
cord-328957-mzi8504f	319	17	(	(	-LRB-
cord-328957-mzi8504f	319	18	assuming	assume	VBG
cord-328957-mzi8504f	319	19	S	S	NNP
cord-328957-mzi8504f	319	20	c	c	NN
cord-328957-mzi8504f	319	21	(	(	-LRB-
cord-328957-mzi8504f	319	22	0	0	NFP
cord-328957-mzi8504f	319	23	)	)	-RRB-
cord-328957-mzi8504f	319	24	>	>	XX
cord-328957-mzi8504f	319	25	0	0	NFP
cord-328957-mzi8504f	319	26	)	)	-RRB-
cord-328957-mzi8504f	319	27	exists	exist	VBZ
cord-328957-mzi8504f	319	28	time	time	NN
cord-328957-mzi8504f	319	29	t	t	NN
cord-328957-mzi8504f	319	30	such	such	JJ
cord-328957-mzi8504f	319	31	318	318	CD
cord-328957-mzi8504f	319	32	that	that	WDT
cord-328957-mzi8504f	319	33	dIc(t	dIc(t	NNP
cord-328957-mzi8504f	319	34	)	)	-RRB-
cord-328957-mzi8504f	319	35	dt	dt	NN
cord-328957-mzi8504f	319	36	>	>	XX
cord-328957-mzi8504f	319	37	0	0	CD
cord-328957-mzi8504f	320	1	and	and	CC
cord-328957-mzi8504f	320	2	therefore	therefore	RB
cord-328957-mzi8504f	320	3	I	-PRON-	PRP
cord-328957-mzi8504f	320	4	c	c	NN
cord-328957-mzi8504f	321	1	(	(	-LRB-
cord-328957-mzi8504f	321	2	t	t	NN
cord-328957-mzi8504f	321	3	+	+	SYM
cord-328957-mzi8504f	321	4	1	1	CD
cord-328957-mzi8504f	321	5	)	)	-RRB-
cord-328957-mzi8504f	321	6	=	=	SYM
cord-328957-mzi8504f	321	7	0	0	CD
cord-328957-mzi8504f	321	8	.	.	.
cord-328957-mzi8504f	322	1	319	319	CD
cord-328957-mzi8504f	322	2	EQ	eq	NN
cord-328957-mzi8504f	322	3	4	4	CD
cord-328957-mzi8504f	322	4	:	:	:
cord-328957-mzi8504f	322	5	is	be	VBZ
cord-328957-mzi8504f	322	6	the	the	DT
cord-328957-mzi8504f	322	7	case	case	NN
cord-328957-mzi8504f	322	8	for	for	IN
cord-328957-mzi8504f	322	9	∃t	∃t	NNP
cord-328957-mzi8504f	322	10	such	such	JJ
cord-328957-mzi8504f	322	11	that	that	IN
cord-328957-mzi8504f	322	12	I	-PRON-	PRP
cord-328957-mzi8504f	322	13	c	c	NN
cord-328957-mzi8504f	322	14	(	(	-LRB-
cord-328957-mzi8504f	322	15	t	t	NN
cord-328957-mzi8504f	322	16	)	)	-RRB-
cord-328957-mzi8504f	322	17	=	=	SYM
cord-328957-mzi8504f	322	18	0	0	NFP
cord-328957-mzi8504f	323	1	and	and	CC
cord-328957-mzi8504f	323	2	I	-PRON-	PRP
cord-328957-mzi8504f	323	3	a	a	DT
cord-328957-mzi8504f	323	4	(	(	-LRB-
cord-328957-mzi8504f	323	5	t	t	NN
cord-328957-mzi8504f	323	6	)	)	-RRB-
cord-328957-mzi8504f	323	7	=	=	SYM
cord-328957-mzi8504f	323	8	0	0	NFP
cord-328957-mzi8504f	323	9	(	(	-LRB-
cord-328957-mzi8504f	323	10	see	see	VB
cord-328957-mzi8504f	323	11	Table	Table	NNP
cord-328957-mzi8504f	323	12	3	3	CD
cord-328957-mzi8504f	323	13	)	)	-RRB-
cord-328957-mzi8504f	323	14	.	.	.
cord-328957-mzi8504f	324	1	This	this	DT
cord-328957-mzi8504f	324	2	320	320	CD
cord-328957-mzi8504f	324	3	equilibrium	equilibrium	NN
cord-328957-mzi8504f	324	4	is	be	VBZ
cord-328957-mzi8504f	324	5	the	the	DT
cord-328957-mzi8504f	324	6	generic	generic	JJ
cord-328957-mzi8504f	324	7	case	case	NN
cord-328957-mzi8504f	324	8	for	for	IN
cord-328957-mzi8504f	324	9	the	the	DT
cord-328957-mzi8504f	324	10	model	model	NN
cord-328957-mzi8504f	324	11	.	.	.
cord-328957-mzi8504f	325	1	According	accord	VBG
cord-328957-mzi8504f	325	2	to	to	IN
cord-328957-mzi8504f	325	3	Lemma	Lemma	NNP
cord-328957-mzi8504f	325	4	1	1	CD
cord-328957-mzi8504f	325	5	,	,	,
cord-328957-mzi8504f	325	6	EQ	EQ	NNP
cord-328957-mzi8504f	325	7	2	2	CD
cord-328957-mzi8504f	325	8	,	,	,
cord-328957-mzi8504f	325	9	EQ	EQ	NNP
cord-328957-mzi8504f	325	10	3	3	CD
cord-328957-mzi8504f	325	11	,	,	,
cord-328957-mzi8504f	325	12	and	and	CC
cord-328957-mzi8504f	325	13	EQ	EQ	NNP
cord-328957-mzi8504f	325	14	4	4	CD
cord-328957-mzi8504f	325	15	are	be	VBP
cord-328957-mzi8504f	325	16	not	not	RB
cord-328957-mzi8504f	325	17	possible	possible	JJ
cord-328957-mzi8504f	325	18	asymptotic	asymptotic	JJ
cord-328957-mzi8504f	325	19	forms	form	NNS
cord-328957-mzi8504f	325	20	of	of	IN
cord-328957-mzi8504f	325	21	322	322	CD
cord-328957-mzi8504f	325	22	the	the	DT
cord-328957-mzi8504f	325	23	system	system	NN
cord-328957-mzi8504f	325	24	and	and	CC
cord-328957-mzi8504f	325	25	are	be	VBP
cord-328957-mzi8504f	325	26	therefore	therefore	RB
cord-328957-mzi8504f	325	27	not	not	RB
cord-328957-mzi8504f	325	28	stable	stable	JJ
cord-328957-mzi8504f	325	29	.	.	.
cord-328957-mzi8504f	325	30	.	.	.
cord-328957-mzi8504f	326	1	CC	CC	NNP
cord-328957-mzi8504f	326	2	-	-	HYPH
cord-328957-mzi8504f	326	3	BY	BY	NNP
cord-328957-mzi8504f	326	4	-	-	HYPH
cord-328957-mzi8504f	326	5	NC	NC	NNP
cord-328957-mzi8504f	326	6	-	-	HYPH
cord-328957-mzi8504f	326	7	ND	ND	NNP
cord-328957-mzi8504f	326	8	4.0	4.0	CD
cord-328957-mzi8504f	326	9	International	international	JJ
cord-328957-mzi8504f	326	10	license	license	NN
cord-328957-mzi8504f	327	1	It	-PRON-	PRP
cord-328957-mzi8504f	327	2	is	be	VBZ
cord-328957-mzi8504f	327	3	made	make	VBN
cord-328957-mzi8504f	327	4	available	available	JJ
cord-328957-mzi8504f	327	5	under	under	IN
cord-328957-mzi8504f	327	6	a	a	DT
cord-328957-mzi8504f	328	1	is	be	VBZ
cord-328957-mzi8504f	328	2	the	the	DT
cord-328957-mzi8504f	328	3	author	author	NN
cord-328957-mzi8504f	328	4	/	/	SYM
cord-328957-mzi8504f	328	5	funder	funder	NN
cord-328957-mzi8504f	328	6	,	,	,
cord-328957-mzi8504f	328	7	who	who	WP
cord-328957-mzi8504f	328	8	has	have	VBZ
cord-328957-mzi8504f	328	9	granted	grant	VBN
cord-328957-mzi8504f	328	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	328	11	a	a	DT
cord-328957-mzi8504f	328	12	license	license	NN
cord-328957-mzi8504f	328	13	to	to	TO
cord-328957-mzi8504f	328	14	display	display	VB
cord-328957-mzi8504f	328	15	the	the	DT
cord-328957-mzi8504f	328	16	preprint	preprint	NN
cord-328957-mzi8504f	328	17	in	in	IN
cord-328957-mzi8504f	328	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	328	19	.	.	.
cord-328957-mzi8504f	329	1	The	the	DT
cord-328957-mzi8504f	329	2	copyright	copyright	NN
cord-328957-mzi8504f	329	3	holder	holder	NN
cord-328957-mzi8504f	329	4	for	for	IN
cord-328957-mzi8504f	329	5	this	this	DT
cord-328957-mzi8504f	329	6	preprint	preprint	NN
cord-328957-mzi8504f	329	7	this	this	DT
cord-328957-mzi8504f	329	8	version	version	NN
cord-328957-mzi8504f	329	9	posted	post	VBN
cord-328957-mzi8504f	329	10	November	November	NNP
cord-328957-mzi8504f	329	11	4	4	CD
cord-328957-mzi8504f	329	12	,	,	,
cord-328957-mzi8504f	329	13	2020	2020	CD
cord-328957-mzi8504f	329	14	.	.	.
cord-328957-mzi8504f	330	1	;	;	:
cord-328957-mzi8504f	330	2	https://doi.org/10.1101/2020.11.02.20224584	https://doi.org/10.1101/2020.11.02.20224584	NNP
cord-328957-mzi8504f	330	3	doi	doi	NN
cord-328957-mzi8504f	330	4	:	:	:
cord-328957-mzi8504f	331	1	medRxiv	medRxiv	NNP
cord-328957-mzi8504f	331	2	preprint	preprint	NN
cord-328957-mzi8504f	331	3	.	.	.
cord-328957-mzi8504f	332	1	CC	CC	NNP
cord-328957-mzi8504f	332	2	-	-	HYPH
cord-328957-mzi8504f	332	3	BY	BY	NNP
cord-328957-mzi8504f	332	4	-	-	HYPH
cord-328957-mzi8504f	332	5	NC	NC	NNP
cord-328957-mzi8504f	332	6	-	-	HYPH
cord-328957-mzi8504f	332	7	ND	ND	NNP
cord-328957-mzi8504f	332	8	4.0	4.0	CD
cord-328957-mzi8504f	332	9	International	international	JJ
cord-328957-mzi8504f	332	10	license	license	NN
cord-328957-mzi8504f	333	1	It	-PRON-	PRP
cord-328957-mzi8504f	333	2	is	be	VBZ
cord-328957-mzi8504f	333	3	made	make	VBN
cord-328957-mzi8504f	333	4	available	available	JJ
cord-328957-mzi8504f	333	5	under	under	IN
cord-328957-mzi8504f	333	6	a	a	DT
cord-328957-mzi8504f	334	1	is	be	VBZ
cord-328957-mzi8504f	334	2	the	the	DT
cord-328957-mzi8504f	334	3	author	author	NN
cord-328957-mzi8504f	334	4	/	/	SYM
cord-328957-mzi8504f	334	5	funder	funder	NN
cord-328957-mzi8504f	334	6	,	,	,
cord-328957-mzi8504f	334	7	who	who	WP
cord-328957-mzi8504f	334	8	has	have	VBZ
cord-328957-mzi8504f	334	9	granted	grant	VBN
cord-328957-mzi8504f	334	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	334	11	a	a	DT
cord-328957-mzi8504f	334	12	license	license	NN
cord-328957-mzi8504f	334	13	to	to	TO
cord-328957-mzi8504f	334	14	display	display	VB
cord-328957-mzi8504f	334	15	the	the	DT
cord-328957-mzi8504f	334	16	preprint	preprint	NN
cord-328957-mzi8504f	334	17	in	in	IN
cord-328957-mzi8504f	334	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	334	19	.	.	.
cord-328957-mzi8504f	335	1	The	the	DT
cord-328957-mzi8504f	335	2	copyright	copyright	NN
cord-328957-mzi8504f	335	3	holder	holder	NN
cord-328957-mzi8504f	335	4	for	for	IN
cord-328957-mzi8504f	335	5	this	this	DT
cord-328957-mzi8504f	335	6	preprint	preprint	NN
cord-328957-mzi8504f	335	7	this	this	DT
cord-328957-mzi8504f	335	8	version	version	NN
cord-328957-mzi8504f	335	9	posted	post	VBN
cord-328957-mzi8504f	335	10	November	November	NNP
cord-328957-mzi8504f	335	11	4	4	CD
cord-328957-mzi8504f	335	12	,	,	,
cord-328957-mzi8504f	335	13	2020	2020	CD
cord-328957-mzi8504f	335	14	.	.	.
cord-328957-mzi8504f	335	15	;	;	:
cord-328957-mzi8504f	335	16	Table	table	NN
cord-328957-mzi8504f	335	17	3	3	CD
cord-328957-mzi8504f	335	18	.	.	.
cord-328957-mzi8504f	336	1	The	the	DT
cord-328957-mzi8504f	336	2	four	four	CD
cord-328957-mzi8504f	336	3	equilibria	equilibrium	NNS
cord-328957-mzi8504f	336	4	solutions	solution	NNS
cord-328957-mzi8504f	336	5	for	for	IN
cord-328957-mzi8504f	336	6	Eqs	Eqs	NNP
cord-328957-mzi8504f	336	7	(	(	-LRB-
cord-328957-mzi8504f	336	8	9	9	CD
cord-328957-mzi8504f	336	9	)	)	-RRB-
cord-328957-mzi8504f	336	10	(	(	-LRB-
cord-328957-mzi8504f	336	11	10	10	CD
cord-328957-mzi8504f	336	12	)	)	-RRB-
cord-328957-mzi8504f	336	13	.	.	.
cord-328957-mzi8504f	337	1	5	5	LS
cord-328957-mzi8504f	337	2	.	.	.
cord-328957-mzi8504f	338	1	t	t	NNP
cord-328957-mzi8504f	338	2	d	d	NNP
cord-328957-mzi8504f	338	3	a	a	DT
cord-328957-mzi8504f	338	4	hours	hour	NNS
cord-328957-mzi8504f	338	5	of	of	IN
cord-328957-mzi8504f	338	6	the	the	DT
cord-328957-mzi8504f	338	7	day	day	NN
cord-328957-mzi8504f	338	8	that	that	WDT
cord-328957-mzi8504f	338	9	adults	adult	NNS
cord-328957-mzi8504f	338	10	are	be	VBP
cord-328957-mzi8504f	338	11	at	at	IN
cord-328957-mzi8504f	338	12	home	home	NN
cord-328957-mzi8504f	338	13	and	and	CC
cord-328957-mzi8504f	339	1	t	t	NNP
cord-328957-mzi8504f	339	2	n	n	NNP
cord-328957-mzi8504f	339	3	a	a	NNP
cord-328957-mzi8504f	340	1	=	=	SYM
cord-328957-mzi8504f	340	2	24	24	CD
cord-328957-mzi8504f	340	3	−	−	NNP
cord-328957-mzi8504f	340	4	t	t	NN
cord-328957-mzi8504f	340	5	d	d	NN
cord-328957-mzi8504f	340	6	a	a	DT
cord-328957-mzi8504f	340	7	hours	hour	NNS
cord-328957-mzi8504f	340	8	of	of	IN
cord-328957-mzi8504f	340	9	the	the	DT
cord-328957-mzi8504f	340	10	day	day	NN
cord-328957-mzi8504f	340	11	that	that	IN
cord-328957-mzi8504f	340	12	334	334	CD
cord-328957-mzi8504f	340	13	adults	adult	NNS
cord-328957-mzi8504f	340	14	are	be	VBP
cord-328957-mzi8504f	340	15	at	at	IN
cord-328957-mzi8504f	340	16	work	work	NN
cord-328957-mzi8504f	340	17	.	.	.
cord-328957-mzi8504f	341	1	335	335	CD
cord-328957-mzi8504f	342	1	We	-PRON-	PRP
cord-328957-mzi8504f	342	2	assume	assume	VBP
cord-328957-mzi8504f	342	3	the	the	DT
cord-328957-mzi8504f	342	4	transition	transition	NN
cord-328957-mzi8504f	342	5	from	from	IN
cord-328957-mzi8504f	342	6	home	home	NN
cord-328957-mzi8504f	342	7	to	to	IN
cord-328957-mzi8504f	342	8	either	either	CC
cord-328957-mzi8504f	342	9	work	work	NN
cord-328957-mzi8504f	342	10	or	or	CC
cord-328957-mzi8504f	342	11	school	school	NN
cord-328957-mzi8504f	342	12	and	and	CC
cord-328957-mzi8504f	342	13	back	back	NN
cord-328957-mzi8504f	342	14	is	be	VBZ
cord-328957-mzi8504f	342	15	immediate	immediate	JJ
cord-328957-mzi8504f	342	16	and	and	CC
cord-328957-mzi8504f	342	17	336	336	CD
cord-328957-mzi8504f	342	18	that	that	IN
cord-328957-mzi8504f	342	19	everybody	everybody	NN
cord-328957-mzi8504f	342	20	is	be	VBZ
cord-328957-mzi8504f	342	21	following	follow	VBG
cord-328957-mzi8504f	342	22	the	the	DT
cord-328957-mzi8504f	342	23	same	same	JJ
cord-328957-mzi8504f	342	24	clock	clock	NN
cord-328957-mzi8504f	342	25	.	.	.
cord-328957-mzi8504f	343	1	Each	each	DT
cord-328957-mzi8504f	343	2	simulation	simulation	NN
cord-328957-mzi8504f	343	3	step	step	NN
cord-328957-mzi8504f	343	4	simulates	simulate	VBZ
cord-328957-mzi8504f	343	5	one	one	CD
cord-328957-mzi8504f	343	6	hour	hour	NN
cord-328957-mzi8504f	343	7	.	.	.
cord-328957-mzi8504f	344	1	337	337	CD
cord-328957-mzi8504f	345	1	The	the	DT
cord-328957-mzi8504f	345	2	population	population	NN
cord-328957-mzi8504f	345	3	size	size	NN
cord-328957-mzi8504f	345	4	is	be	VBZ
cord-328957-mzi8504f	345	5	constant	constant	JJ
cord-328957-mzi8504f	345	6	during	during	IN
cord-328957-mzi8504f	345	7	the	the	DT
cord-328957-mzi8504f	345	8	simulation	simulation	NN
cord-328957-mzi8504f	345	9	and	and	CC
cord-328957-mzi8504f	345	10	initialized	initialize	VBN
cord-328957-mzi8504f	345	11	in	in	IN
cord-328957-mzi8504f	345	12	the	the	DT
cord-328957-mzi8504f	345	13	beginning	beginning	NN
cord-328957-mzi8504f	345	14	of	of	IN
cord-328957-mzi8504f	345	15	338	338	CD
cord-328957-mzi8504f	345	16	each	each	DT
cord-328957-mzi8504f	345	17	iteration	iteration	NN
cord-328957-mzi8504f	345	18	by	by	IN
cord-328957-mzi8504f	345	19	setting	set	VBG
cord-328957-mzi8504f	345	20	children	child	NNS
cord-328957-mzi8504f	345	21	population	population	NN
cord-328957-mzi8504f	345	22	size	size	NN
cord-328957-mzi8504f	345	23	N	N	NNP
cord-328957-mzi8504f	345	24	c	c	NN
cord-328957-mzi8504f	345	25	and	and	CC
cord-328957-mzi8504f	345	26	adult	adult	NN
cord-328957-mzi8504f	345	27	population	population	NN
cord-328957-mzi8504f	345	28	size	size	NN
cord-328957-mzi8504f	345	29	N	N	NNP
cord-328957-mzi8504f	345	30	a	a	NN
cord-328957-mzi8504f	345	31	.	.	.
cord-328957-mzi8504f	346	1	In	in	IN
cord-328957-mzi8504f	346	2	339	339	CD
cord-328957-mzi8504f	346	3	each	each	DT
cord-328957-mzi8504f	346	4	simulation	simulation	NN
cord-328957-mzi8504f	346	5	step	step	NN
cord-328957-mzi8504f	346	6	,	,	,
cord-328957-mzi8504f	346	7	the	the	DT
cord-328957-mzi8504f	346	8	following	follow	VBG
cord-328957-mzi8504f	346	9	three	three	CD
cord-328957-mzi8504f	346	10	actions	action	NNS
cord-328957-mzi8504f	346	11	take	take	VBP
cord-328957-mzi8504f	346	12	place	place	NN
cord-328957-mzi8504f	346	13	:	:	:
cord-328957-mzi8504f	346	14	340	340	CD
cord-328957-mzi8504f	346	15	 	 	_SP
cord-328957-mzi8504f	346	16	group	group	NN
cord-328957-mzi8504f	346	17	there	there	EX
cord-328957-mzi8504f	346	18	is	be	VBZ
cord-328957-mzi8504f	346	19	a	a	DT
cord-328957-mzi8504f	346	20	change	change	NN
cord-328957-mzi8504f	346	21	of	of	IN
cord-328957-mzi8504f	346	22	β	β	NNP
cord-328957-mzi8504f	346	23	aa	aa	NNP
cord-328957-mzi8504f	346	24	,	,	,
cord-328957-mzi8504f	346	25	β	β	NNP
cord-328957-mzi8504f	346	26	ac	ac	NNP
cord-328957-mzi8504f	346	27	,	,	,
cord-328957-mzi8504f	346	28	β	β	NNP
cord-328957-mzi8504f	346	29	ca	ca	NNP
cord-328957-mzi8504f	346	30	,	,	,
cord-328957-mzi8504f	346	31	or	or	CC
cord-328957-mzi8504f	346	32	β	β	NN
cord-328957-mzi8504f	346	33	cc	cc	NNP
cord-328957-mzi8504f	346	34	according	accord	VBG
cord-328957-mzi8504f	346	35	to	to	IN
cord-328957-mzi8504f	346	36	the	the	DT
cord-328957-mzi8504f	346	37	age	age	NN
cord-328957-mzi8504f	346	38	-	-	HYPH
cord-328957-mzi8504f	346	39	class	class	NN
cord-328957-mzi8504f	346	40	of	of	IN
cord-328957-mzi8504f	346	41	the	the	DT
cord-328957-mzi8504f	346	42	342	342	CD
cord-328957-mzi8504f	346	43	two	two	CD
cord-328957-mzi8504f	346	44	members	member	NNS
cord-328957-mzi8504f	346	45	that	that	IN
cord-328957-mzi8504f	346	46	the	the	DT
cord-328957-mzi8504f	346	47	first	first	JJ
cord-328957-mzi8504f	346	48	will	will	MD
cord-328957-mzi8504f	346	49	be	be	VB
cord-328957-mzi8504f	346	50	infected	infect	VBN
cord-328957-mzi8504f	346	51	.	.	.
cord-328957-mzi8504f	347	1	343	343	CD
cord-328957-mzi8504f	347	2	2	2	CD
cord-328957-mzi8504f	347	3	.	.	.
cord-328957-mzi8504f	348	1	Each	each	DT
cord-328957-mzi8504f	348	2	infected	infected	JJ
cord-328957-mzi8504f	348	3	child	child	NN
cord-328957-mzi8504f	348	4	or	or	CC
cord-328957-mzi8504f	348	5	adult	adult	NN
cord-328957-mzi8504f	348	6	that	that	WDT
cord-328957-mzi8504f	348	7	was	be	VBD
cord-328957-mzi8504f	348	8	infected	infect	VBN
cord-328957-mzi8504f	348	9	for	for	IN
cord-328957-mzi8504f	348	10	1	1	CD
cord-328957-mzi8504f	348	11	γc	γc	NN
cord-328957-mzi8504f	348	12	,	,	,
cord-328957-mzi8504f	348	13	1	1	CD
cord-328957-mzi8504f	348	14	γa	γa	NN
cord-328957-mzi8504f	348	15	simulation	simulation	NN
cord-328957-mzi8504f	348	16	steps	step	NNS
cord-328957-mzi8504f	348	17	becomes	become	VBZ
cord-328957-mzi8504f	348	18	344	344	CD
cord-328957-mzi8504f	348	19	either	either	CC
cord-328957-mzi8504f	348	20	recovered	recover	VBN
cord-328957-mzi8504f	348	21	or	or	CC
cord-328957-mzi8504f	348	22	deceased	decease	VBN
cord-328957-mzi8504f	348	23	,	,	,
cord-328957-mzi8504f	348	24	respectively	respectively	RB
cord-328957-mzi8504f	348	25	.	.	.
cord-328957-mzi8504f	349	1	345	345	CD
cord-328957-mzi8504f	349	2	3	3	CD
cord-328957-mzi8504f	349	3	.	.	.
cord-328957-mzi8504f	350	1	According	accord	VBG
cord-328957-mzi8504f	350	2	to	to	IN
cord-328957-mzi8504f	350	3	the	the	DT
cord-328957-mzi8504f	350	4	hour	hour	NN
cord-328957-mzi8504f	350	5	of	of	IN
cord-328957-mzi8504f	350	6	the	the	DT
cord-328957-mzi8504f	350	7	day	day	NN
cord-328957-mzi8504f	350	8	,	,	,
cord-328957-mzi8504f	350	9	the	the	DT
cord-328957-mzi8504f	350	10	adults	adult	NNS
cord-328957-mzi8504f	350	11	transition	transition	NN
cord-328957-mzi8504f	350	12	to	to	IN
cord-328957-mzi8504f	350	13	home	home	NN
cord-328957-mzi8504f	350	14	or	or	CC
cord-328957-mzi8504f	350	15	work	work	VB
cord-328957-mzi8504f	350	16	and	and	CC
cord-328957-mzi8504f	350	17	the	the	DT
cord-328957-mzi8504f	350	18	346	346	CD
cord-328957-mzi8504f	350	19	children	child	NNS
cord-328957-mzi8504f	350	20	to	to	TO
cord-328957-mzi8504f	350	21	home	home	NN
cord-328957-mzi8504f	350	22	or	or	CC
cord-328957-mzi8504f	350	23	school	school	NN
cord-328957-mzi8504f	350	24	.	.	.
cord-328957-mzi8504f	351	1	The	the	DT
cord-328957-mzi8504f	351	2	spatial	spatial	JJ
cord-328957-mzi8504f	351	3	model	model	NN
cord-328957-mzi8504f	351	4	adds	add	VBZ
cord-328957-mzi8504f	351	5	day	day	NN
cord-328957-mzi8504f	351	6	-	-	HYPH
cord-328957-mzi8504f	351	7	night	night	NN
cord-328957-mzi8504f	351	8	circle	circle	NN
cord-328957-mzi8504f	351	9	and	and	CC
cord-328957-mzi8504f	351	10	three	three	CD
cord-328957-mzi8504f	351	11	main	main	JJ
cord-328957-mzi8504f	351	12	locations	location	NNS
cord-328957-mzi8504f	351	13	to	to	IN
cord-328957-mzi8504f	351	14	the	the	DT
cord-328957-mzi8504f	351	15	dynamics	dynamic	NNS
cord-328957-mzi8504f	351	16	of	of	IN
cord-328957-mzi8504f	351	17	the	the	DT
cord-328957-mzi8504f	351	18	348	348	CD
cord-328957-mzi8504f	351	19	hybrid	hybrid	JJ
cord-328957-mzi8504f	351	20	model	model	NN
cord-328957-mzi8504f	351	21	.	.	.
cord-328957-mzi8504f	352	1	November	November	NNP
cord-328957-mzi8504f	352	2	2	2	CD
cord-328957-mzi8504f	352	3	,	,	,
cord-328957-mzi8504f	352	4	2020	2020	CD
cord-328957-mzi8504f	352	5	15/28	15/28	CD
cord-328957-mzi8504f	352	6	.	.	.
cord-328957-mzi8504f	353	1	CC	CC	NNP
cord-328957-mzi8504f	353	2	-	-	HYPH
cord-328957-mzi8504f	353	3	BY	BY	NNP
cord-328957-mzi8504f	353	4	-	-	HYPH
cord-328957-mzi8504f	353	5	NC	NC	NNP
cord-328957-mzi8504f	353	6	-	-	HYPH
cord-328957-mzi8504f	353	7	ND	ND	NNP
cord-328957-mzi8504f	353	8	4.0	4.0	CD
cord-328957-mzi8504f	353	9	International	international	JJ
cord-328957-mzi8504f	353	10	license	license	NN
cord-328957-mzi8504f	354	1	It	-PRON-	PRP
cord-328957-mzi8504f	354	2	is	be	VBZ
cord-328957-mzi8504f	354	3	made	make	VBN
cord-328957-mzi8504f	354	4	available	available	JJ
cord-328957-mzi8504f	354	5	under	under	IN
cord-328957-mzi8504f	354	6	a	a	DT
cord-328957-mzi8504f	355	1	is	be	VBZ
cord-328957-mzi8504f	355	2	the	the	DT
cord-328957-mzi8504f	355	3	author	author	NN
cord-328957-mzi8504f	355	4	/	/	SYM
cord-328957-mzi8504f	355	5	funder	funder	NN
cord-328957-mzi8504f	355	6	,	,	,
cord-328957-mzi8504f	355	7	who	who	WP
cord-328957-mzi8504f	355	8	has	have	VBZ
cord-328957-mzi8504f	355	9	granted	grant	VBN
cord-328957-mzi8504f	355	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	355	11	a	a	DT
cord-328957-mzi8504f	355	12	license	license	NN
cord-328957-mzi8504f	355	13	to	to	TO
cord-328957-mzi8504f	355	14	display	display	VB
cord-328957-mzi8504f	355	15	the	the	DT
cord-328957-mzi8504f	355	16	preprint	preprint	NN
cord-328957-mzi8504f	355	17	in	in	IN
cord-328957-mzi8504f	355	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	355	19	.	.	.
cord-328957-mzi8504f	356	1	The	the	DT
cord-328957-mzi8504f	356	2	copyright	copyright	NN
cord-328957-mzi8504f	356	3	holder	holder	NN
cord-328957-mzi8504f	356	4	for	for	IN
cord-328957-mzi8504f	356	5	this	this	DT
cord-328957-mzi8504f	356	6	preprint	preprint	NN
cord-328957-mzi8504f	356	7	this	this	DT
cord-328957-mzi8504f	356	8	version	version	NN
cord-328957-mzi8504f	356	9	posted	post	VBN
cord-328957-mzi8504f	356	10	November	November	NNP
cord-328957-mzi8504f	356	11	4	4	CD
cord-328957-mzi8504f	356	12	,	,	,
cord-328957-mzi8504f	356	13	2020	2020	CD
cord-328957-mzi8504f	356	14	.	.	.
cord-328957-mzi8504f	356	15	;	;	:
cord-328957-mzi8504f	356	16	Table	table	NN
cord-328957-mzi8504f	356	17	.	.	.
cord-328957-mzi8504f	357	1	1	1	LS
cord-328957-mzi8504f	357	2	.	.	.
cord-328957-mzi8504f	358	1	Children	child	NNS
cord-328957-mzi8504f	358	2	and	and	CC
cord-328957-mzi8504f	358	3	adult	adult	NN
cord-328957-mzi8504f	358	4	graphs	graph	NNS
cord-328957-mzi8504f	358	5	are	be	VBP
cord-328957-mzi8504f	358	6	presented	present	VBN
cord-328957-mzi8504f	358	7	with	with	IN
cord-328957-mzi8504f	358	8	a	a	DT
cord-328957-mzi8504f	358	9	dotted	dotted	JJ
cord-328957-mzi8504f	358	10	and	and	CC
cord-328957-mzi8504f	358	11	solid	solid	JJ
cord-328957-mzi8504f	358	12	lines	line	NNS
cord-328957-mzi8504f	358	13	,	,	,
cord-328957-mzi8504f	358	14	respectively	respectively	RB
cord-328957-mzi8504f	358	15	.	.	.
cord-328957-mzi8504f	359	1	Susceptible	susceptible	JJ
cord-328957-mzi8504f	359	2	,	,	,
cord-328957-mzi8504f	359	3	infected	infected	JJ
cord-328957-mzi8504f	359	4	,	,	,
cord-328957-mzi8504f	359	5	recovered	recover	VBN
cord-328957-mzi8504f	359	6	,	,	,
cord-328957-mzi8504f	359	7	and	and	CC
cord-328957-mzi8504f	359	8	dead	dead	JJ
cord-328957-mzi8504f	359	9	are	be	VBP
cord-328957-mzi8504f	359	10	shown	show	VBN
cord-328957-mzi8504f	359	11	in	in	IN
cord-328957-mzi8504f	359	12	green	green	JJ
cord-328957-mzi8504f	359	13	,	,	,
cord-328957-mzi8504f	359	14	red	red	JJ
cord-328957-mzi8504f	359	15	,	,	,
cord-328957-mzi8504f	359	16	blue	blue	JJ
cord-328957-mzi8504f	359	17	,	,	,
cord-328957-mzi8504f	359	18	and	and	CC
cord-328957-mzi8504f	359	19	black	black	JJ
cord-328957-mzi8504f	359	20	,	,	,
cord-328957-mzi8504f	359	21	respectively	respectively	RB
cord-328957-mzi8504f	359	22	.	.	.
cord-328957-mzi8504f	359	23	 	 	_SP
cord-328957-mzi8504f	360	1	A	a	DT
cord-328957-mzi8504f	360	2	maximum	maximum	NN
cord-328957-mzi8504f	360	3	in	in	IN
cord-328957-mzi8504f	360	4	the	the	DT
cord-328957-mzi8504f	360	5	percent	percent	NN
cord-328957-mzi8504f	360	6	of	of	IN
cord-328957-mzi8504f	360	7	infected	infected	JJ
cord-328957-mzi8504f	360	8	children	child	NNS
cord-328957-mzi8504f	360	9	and	and	CC
cord-328957-mzi8504f	360	10	adults	adult	NNS
cord-328957-mzi8504f	360	11	(	(	-LRB-
cord-328957-mzi8504f	360	12	38.5	38.5	CD
cord-328957-mzi8504f	360	13	%	%	NN
cord-328957-mzi8504f	360	14	,	,	,
cord-328957-mzi8504f	360	15	100	100	CD
cord-328957-mzi8504f	360	16	%	%	NN
cord-328957-mzi8504f	360	17	)	)	-RRB-
cord-328957-mzi8504f	360	18	is	be	VBZ
cord-328957-mzi8504f	360	19	reached	reach	VBN
cord-328957-mzi8504f	360	20	355	355	CD
cord-328957-mzi8504f	360	21	on	on	IN
cord-328957-mzi8504f	360	22	the	the	DT
cord-328957-mzi8504f	360	23	9	9	CD
cord-328957-mzi8504f	360	24	th	th	XX
cord-328957-mzi8504f	360	25	and	and	CC
cord-328957-mzi8504f	360	26	12	12	CD
cord-328957-mzi8504f	360	27	th	th	XX
cord-328957-mzi8504f	360	28	day	day	NN
cord-328957-mzi8504f	360	29	,	,	,
cord-328957-mzi8504f	360	30	as	as	IN
cord-328957-mzi8504f	360	31	shown	show	VBN
cord-328957-mzi8504f	360	32	in	in	IN
cord-328957-mzi8504f	360	33	Fig	Fig	NNP
cord-328957-mzi8504f	360	34	6	6	CD
cord-328957-mzi8504f	360	35	.	.	.
cord-328957-mzi8504f	361	1	In	in	IN
cord-328957-mzi8504f	361	2	addition	addition	NN
cord-328957-mzi8504f	361	3	,	,	,
cord-328957-mzi8504f	361	4	all	all	DT
cord-328957-mzi8504f	361	5	children	child	NNS
cord-328957-mzi8504f	361	6	were	be	VBD
cord-328957-mzi8504f	361	7	infected	infect	VBN
cord-328957-mzi8504f	361	8	and	and	CC
cord-328957-mzi8504f	361	9	356	356	CD
cord-328957-mzi8504f	361	10	recovered	recover	VBD
cord-328957-mzi8504f	361	11	after	after	IN
cord-328957-mzi8504f	361	12	12	12	CD
cord-328957-mzi8504f	361	13	days	day	NNS
cord-328957-mzi8504f	361	14	while	while	IN
cord-328957-mzi8504f	361	15	all	all	DT
cord-328957-mzi8504f	361	16	adults	adult	NNS
cord-328957-mzi8504f	361	17	recovered	recover	VBD
cord-328957-mzi8504f	361	18	after	after	IN
cord-328957-mzi8504f	361	19	28	28	CD
cord-328957-mzi8504f	361	20	days	day	NNS
cord-328957-mzi8504f	361	21	.	.	.
cord-328957-mzi8504f	362	1	The	the	DT
cord-328957-mzi8504f	362	2	simulation	simulation	NN
cord-328957-mzi8504f	362	3	shows	show	VBZ
cord-328957-mzi8504f	362	4	357	357	CD
cord-328957-mzi8504f	362	5	similar	similar	JJ
cord-328957-mzi8504f	362	6	results	result	NNS
cord-328957-mzi8504f	362	7	to	to	IN
cord-328957-mzi8504f	362	8	the	the	DT
cord-328957-mzi8504f	362	9	results	result	NNS
cord-328957-mzi8504f	362	10	derived	derive	VBN
cord-328957-mzi8504f	362	11	by	by	IN
cord-328957-mzi8504f	362	12	solving	solve	VBG
cord-328957-mzi8504f	362	13	the	the	DT
cord-328957-mzi8504f	362	14	model	model	NN
cord-328957-mzi8504f	362	15	(	(	-LRB-
cord-328957-mzi8504f	362	16	Eqs	Eqs	NNP
cord-328957-mzi8504f	362	17	(	(	-LRB-
cord-328957-mzi8504f	362	18	9	9	CD
cord-328957-mzi8504f	362	19	-	-	SYM
cord-328957-mzi8504f	362	20	10	10	CD
cord-328957-mzi8504f	362	21	)	)	-RRB-
cord-328957-mzi8504f	362	22	)	)	-RRB-
cord-328957-mzi8504f	362	23	as	as	IN
cord-328957-mzi8504f	362	24	presented	present	VBN
cord-328957-mzi8504f	362	25	in	in	IN
cord-328957-mzi8504f	362	26	358	358	CD
cord-328957-mzi8504f	362	27	Fig	Fig	NNP
cord-328957-mzi8504f	362	28	3	3	CD
cord-328957-mzi8504f	362	29	.	.	.
cord-328957-mzi8504f	363	1	The	the	DT
cord-328957-mzi8504f	363	2	main	main	JJ
cord-328957-mzi8504f	363	3	difference	difference	NN
cord-328957-mzi8504f	363	4	between	between	IN
cord-328957-mzi8504f	363	5	the	the	DT
cord-328957-mzi8504f	363	6	two	two	CD
cord-328957-mzi8504f	363	7	is	be	VBZ
cord-328957-mzi8504f	363	8	that	that	IN
cord-328957-mzi8504f	363	9	the	the	DT
cord-328957-mzi8504f	363	10	simulation	simulation	NN
cord-328957-mzi8504f	363	11	predicts	predict	VBZ
cord-328957-mzi8504f	363	12	4.43	4.43	CD
cord-328957-mzi8504f	363	13	times	time	NNS
cord-328957-mzi8504f	363	14	359	359	CD
cord-328957-mzi8504f	363	15	shorter	short	JJR
cord-328957-mzi8504f	363	16	duration	duration	NN
cord-328957-mzi8504f	363	17	from	from	IN
cord-328957-mzi8504f	363	18	the	the	DT
cord-328957-mzi8504f	363	19	time	time	NN
cord-328957-mzi8504f	363	20	of	of	IN
cord-328957-mzi8504f	363	21	maximum	maximum	JJ
cord-328957-mzi8504f	363	22	infected	infected	JJ
cord-328957-mzi8504f	363	23	adults	adult	NNS
cord-328957-mzi8504f	363	24	to	to	IN
cord-328957-mzi8504f	363	25	the	the	DT
cord-328957-mzi8504f	363	26	time	time	NN
cord-328957-mzi8504f	363	27	that	that	WDT
cord-328957-mzi8504f	363	28	all	all	DT
cord-328957-mzi8504f	363	29	adults	adult	NNS
cord-328957-mzi8504f	363	30	360	360	CD
cord-328957-mzi8504f	363	31	are	be	VBP
cord-328957-mzi8504f	363	32	either	either	RB
cord-328957-mzi8504f	363	33	dead	dead	JJ
cord-328957-mzi8504f	363	34	or	or	CC
cord-328957-mzi8504f	363	35	recovered	recover	VBN
cord-328957-mzi8504f	363	36	,	,	,
cord-328957-mzi8504f	363	37	as	as	IN
cord-328957-mzi8504f	363	38	the	the	DT
cord-328957-mzi8504f	363	39	infected	infected	JJ
cord-328957-mzi8504f	363	40	adult	adult	NN
cord-328957-mzi8504f	363	41	population	population	NN
cord-328957-mzi8504f	363	42	equals	equal	VBZ
cord-328957-mzi8504f	363	43	zero	zero	CD
cord-328957-mzi8504f	363	44	on	on	IN
cord-328957-mzi8504f	363	45	the	the	DT
cord-328957-mzi8504f	363	46	82	82	CD
cord-328957-mzi8504f	363	47	nd	nd	NNP
cord-328957-mzi8504f	363	48	361	361	CD
cord-328957-mzi8504f	363	49	and	and	CC
cord-328957-mzi8504f	363	50	28	28	CD
cord-328957-mzi8504f	363	51	th	th	CD
cord-328957-mzi8504f	363	52	days	day	NNS
cord-328957-mzi8504f	363	53	.	.	.
cord-328957-mzi8504f	364	1	In	in	IN
cord-328957-mzi8504f	364	2	addition	addition	NN
cord-328957-mzi8504f	364	3	,	,	,
cord-328957-mzi8504f	364	4	the	the	DT
cord-328957-mzi8504f	364	5	maximum	maximum	NN
cord-328957-mzi8504f	364	6	of	of	IN
cord-328957-mzi8504f	364	7	infected	infected	JJ
cord-328957-mzi8504f	364	8	adults	adult	NNS
cord-328957-mzi8504f	364	9	is	be	VBZ
cord-328957-mzi8504f	364	10	reached	reach	VBN
cord-328957-mzi8504f	364	11	on	on	IN
cord-328957-mzi8504f	364	12	the	the	DT
cord-328957-mzi8504f	364	13	11	11	CD
cord-328957-mzi8504f	364	14	th	th	XX
cord-328957-mzi8504f	364	15	and	and	CC
cord-328957-mzi8504f	364	16	362	362	CD
cord-328957-mzi8504f	364	17	12	12	CD
cord-328957-mzi8504f	364	18	th	th	CD
cord-328957-mzi8504f	364	19	days	day	NNS
cord-328957-mzi8504f	364	20	resulting	result	VBG
cord-328957-mzi8504f	364	21	in	in	IN
cord-328957-mzi8504f	364	22	71	71	CD
cord-328957-mzi8504f	364	23	and	and	CC
cord-328957-mzi8504f	364	24	16	16	CD
cord-328957-mzi8504f	364	25	days	day	NNS
cord-328957-mzi8504f	364	26	for	for	IN
cord-328957-mzi8504f	364	27	full	full	JJ
cord-328957-mzi8504f	364	28	recovery	recovery	NN
cord-328957-mzi8504f	364	29	.	.	.
cord-328957-mzi8504f	365	1	One	one	CD
cord-328957-mzi8504f	365	2	of	of	IN
cord-328957-mzi8504f	365	3	the	the	DT
cord-328957-mzi8504f	365	4	major	major	JJ
cord-328957-mzi8504f	365	5	hopes	hope	NNS
cord-328957-mzi8504f	365	6	of	of	IN
cord-328957-mzi8504f	365	7	politicians	politician	NNS
cord-328957-mzi8504f	365	8	is	be	VBZ
cord-328957-mzi8504f	365	9	for	for	IN
cord-328957-mzi8504f	365	10	a	a	DT
cord-328957-mzi8504f	365	11	NPI	NPI	NNP
cord-328957-mzi8504f	365	12	policy	policy	NN
cord-328957-mzi8504f	365	13	in	in	IN
cord-328957-mzi8504f	365	14	which	which	WDT
cord-328957-mzi8504f	365	15	the	the	DT
cord-328957-mzi8504f	365	16	epidemic	epidemic	NN
cord-328957-mzi8504f	365	17	does	do	VBZ
cord-328957-mzi8504f	365	18	368	368	CD
cord-328957-mzi8504f	365	19	not	not	RB
cord-328957-mzi8504f	365	20	reach	reach	VB
cord-328957-mzi8504f	365	21	an	an	DT
cord-328957-mzi8504f	365	22	outbreak	outbreak	NN
cord-328957-mzi8504f	365	23	at	at	IN
cord-328957-mzi8504f	365	24	any	any	DT
cord-328957-mzi8504f	365	25	time	time	NN
cord-328957-mzi8504f	365	26	after	after	IN
cord-328957-mzi8504f	365	27	they	-PRON-	PRP
cord-328957-mzi8504f	365	28	initialized	initialize	VBD
cord-328957-mzi8504f	365	29	a	a	DT
cord-328957-mzi8504f	365	30	given	give	VBN
cord-328957-mzi8504f	365	31	decision	decision	NN
cord-328957-mzi8504f	365	32	.	.	.
cord-328957-mzi8504f	366	1	We	-PRON-	PRP
cord-328957-mzi8504f	366	2	define	define	VBP
cord-328957-mzi8504f	366	3	this	this	DT
cord-328957-mzi8504f	366	4	369	369	CD
cord-328957-mzi8504f	366	5	November	November	NNP
cord-328957-mzi8504f	366	6	2	2	CD
cord-328957-mzi8504f	366	7	,	,	,
cord-328957-mzi8504f	366	8	2020	2020	CD
cord-328957-mzi8504f	366	9	17/28	17/28	CD
cord-328957-mzi8504f	366	10	.	.	.
cord-328957-mzi8504f	367	1	CC	CC	NNP
cord-328957-mzi8504f	367	2	-	-	HYPH
cord-328957-mzi8504f	367	3	BY	BY	NNP
cord-328957-mzi8504f	367	4	-	-	HYPH
cord-328957-mzi8504f	367	5	NC	NC	NNP
cord-328957-mzi8504f	367	6	-	-	HYPH
cord-328957-mzi8504f	367	7	ND	ND	NNP
cord-328957-mzi8504f	367	8	4.0	4.0	CD
cord-328957-mzi8504f	367	9	International	international	JJ
cord-328957-mzi8504f	367	10	license	license	NN
cord-328957-mzi8504f	368	1	It	-PRON-	PRP
cord-328957-mzi8504f	368	2	is	be	VBZ
cord-328957-mzi8504f	368	3	made	make	VBN
cord-328957-mzi8504f	368	4	available	available	JJ
cord-328957-mzi8504f	368	5	under	under	IN
cord-328957-mzi8504f	368	6	a	a	DT
cord-328957-mzi8504f	369	1	is	be	VBZ
cord-328957-mzi8504f	369	2	the	the	DT
cord-328957-mzi8504f	369	3	author	author	NN
cord-328957-mzi8504f	369	4	/	/	SYM
cord-328957-mzi8504f	369	5	funder	funder	NN
cord-328957-mzi8504f	369	6	,	,	,
cord-328957-mzi8504f	369	7	who	who	WP
cord-328957-mzi8504f	369	8	has	have	VBZ
cord-328957-mzi8504f	369	9	granted	grant	VBN
cord-328957-mzi8504f	369	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	369	11	a	a	DT
cord-328957-mzi8504f	369	12	license	license	NN
cord-328957-mzi8504f	369	13	to	to	TO
cord-328957-mzi8504f	369	14	display	display	VB
cord-328957-mzi8504f	369	15	the	the	DT
cord-328957-mzi8504f	369	16	preprint	preprint	NN
cord-328957-mzi8504f	369	17	in	in	IN
cord-328957-mzi8504f	369	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	369	19	.	.	.
cord-328957-mzi8504f	370	1	The	the	DT
cord-328957-mzi8504f	370	2	copyright	copyright	NN
cord-328957-mzi8504f	370	3	holder	holder	NN
cord-328957-mzi8504f	370	4	for	for	IN
cord-328957-mzi8504f	370	5	this	this	DT
cord-328957-mzi8504f	370	6	preprint	preprint	NN
cord-328957-mzi8504f	370	7	this	this	DT
cord-328957-mzi8504f	370	8	version	version	NN
cord-328957-mzi8504f	370	9	posted	post	VBN
cord-328957-mzi8504f	370	10	November	November	NNP
cord-328957-mzi8504f	370	11	4	4	CD
cord-328957-mzi8504f	370	12	,	,	,
cord-328957-mzi8504f	370	13	2020	2020	CD
cord-328957-mzi8504f	370	14	.	.	.
cord-328957-mzi8504f	371	1	;	;	:
cord-328957-mzi8504f	371	2	https://doi.org/10.1101/2020.11.02.20224584	https://doi.org/10.1101/2020.11.02.20224584	NNP
cord-328957-mzi8504f	371	3	doi	doi	NN
cord-328957-mzi8504f	371	4	:	:	:
cord-328957-mzi8504f	372	1	medRxiv	medRxiv	NNP
cord-328957-mzi8504f	372	2	preprint	preprint	NN
cord-328957-mzi8504f	372	3	condition	condition	NN
cord-328957-mzi8504f	372	4	mathematically	mathematically	RB
cord-328957-mzi8504f	372	5	as	as	IN
cord-328957-mzi8504f	372	6	follows	follow	VBZ
cord-328957-mzi8504f	372	7	:	:	:
cord-328957-mzi8504f	372	8	370	370	CD
cord-328957-mzi8504f	372	9	Definition	Definition	NNP
cord-328957-mzi8504f	372	10	2	2	CD
cord-328957-mzi8504f	372	11	.	.	.
cord-328957-mzi8504f	373	1	For	for	IN
cord-328957-mzi8504f	373	2	given	give	VBN
cord-328957-mzi8504f	373	3	initial	initial	JJ
cord-328957-mzi8504f	373	4	condition	condition	NN
cord-328957-mzi8504f	373	5	and	and	CC
cord-328957-mzi8504f	373	6	model	model	NN
cord-328957-mzi8504f	373	7	's	's	POS
cord-328957-mzi8504f	373	8	parameter	parameter	NN
cord-328957-mzi8504f	373	9	(	(	-LRB-
cord-328957-mzi8504f	373	10	P	p	NN
cord-328957-mzi8504f	373	11	)	)	-RRB-
cord-328957-mzi8504f	373	12	.	.	.
cord-328957-mzi8504f	374	1	A	a	DT
cord-328957-mzi8504f	374	2	solution	solution	NN
cord-328957-mzi8504f	374	3	of	of	IN
cord-328957-mzi8504f	374	4	371	371	CD
cord-328957-mzi8504f	374	5	Eq	eq	NN
cord-328957-mzi8504f	374	6	(	(	-LRB-
cord-328957-mzi8504f	374	7	9	9	CD
cord-328957-mzi8504f	374	8	-	-	SYM
cord-328957-mzi8504f	374	9	10	10	CD
cord-328957-mzi8504f	374	10	)	)	-RRB-
cord-328957-mzi8504f	374	11	is	be	VBZ
cord-328957-mzi8504f	374	12	defined	define	VBN
cord-328957-mzi8504f	374	13	as	as	IN
cord-328957-mzi8504f	374	14	outbreak	outbreak	NN
cord-328957-mzi8504f	374	15	dynamics	dynamic	NNS
cord-328957-mzi8504f	374	16	if	if	IN
cord-328957-mzi8504f	374	17	∃t	∃t	NNP
cord-328957-mzi8504f	374	18	∈	∈	NN
cord-328957-mzi8504f	374	19	N	n	NN
cord-328957-mzi8504f	374	20	:	:	:
cord-328957-mzi8504f	374	21	R	r	NN
cord-328957-mzi8504f	374	22	0	0	CD
cord-328957-mzi8504f	375	1	(	(	-LRB-
cord-328957-mzi8504f	375	2	t	t	NN
cord-328957-mzi8504f	375	3	)	)	-RRB-
cord-328957-mzi8504f	375	4	>	>	XX
cord-328957-mzi8504f	375	5	1	1	CD
cord-328957-mzi8504f	375	6	.	.	.
cord-328957-mzi8504f	376	1	372	372	CD
cord-328957-mzi8504f	376	2	We	-PRON-	PRP
cord-328957-mzi8504f	376	3	will	will	MD
cord-328957-mzi8504f	376	4	examine	examine	VB
cord-328957-mzi8504f	376	5	two	two	CD
cord-328957-mzi8504f	376	6	policies	policy	NNS
cord-328957-mzi8504f	376	7	,	,	,
cord-328957-mzi8504f	376	8	based	base	VBN
cord-328957-mzi8504f	376	9	on	on	IN
cord-328957-mzi8504f	376	10	this	this	DT
cord-328957-mzi8504f	376	11	condition	condition	NN
cord-328957-mzi8504f	376	12	,	,	,
cord-328957-mzi8504f	376	13	to	to	TO
cord-328957-mzi8504f	376	14	determine	determine	VB
cord-328957-mzi8504f	376	15	if	if	IN
cord-328957-mzi8504f	376	16	each	each	DT
cord-328957-mzi8504f	376	17	one	one	NN
cord-328957-mzi8504f	376	18	is	be	VBZ
cord-328957-mzi8504f	376	19	373	373	CD
cord-328957-mzi8504f	376	20	possible	possible	JJ
cord-328957-mzi8504f	376	21	to	to	TO
cord-328957-mzi8504f	376	22	fulfill	fulfill	VB
cord-328957-mzi8504f	376	23	the	the	DT
cord-328957-mzi8504f	376	24	condition	condition	NN
cord-328957-mzi8504f	376	25	.	.	.
cord-328957-mzi8504f	377	1	If	if	IN
cord-328957-mzi8504f	377	2	so	so	RB
cord-328957-mzi8504f	377	3	,	,	,
cord-328957-mzi8504f	377	4	the	the	DT
cord-328957-mzi8504f	377	5	optimal	optimal	JJ
cord-328957-mzi8504f	377	6	NPI	npi	NN
cord-328957-mzi8504f	377	7	policy	policy	NN
cord-328957-mzi8504f	377	8	is	be	VBZ
cord-328957-mzi8504f	377	9	based	base	VBN
cord-328957-mzi8504f	377	10	on	on	IN
cord-328957-mzi8504f	377	11	the	the	DT
cord-328957-mzi8504f	377	12	parameter-374	parameter-374	NNP
cord-328957-mzi8504f	377	13	space	space	NN
cord-328957-mzi8504f	377	14	criteria	criterion	NNS
cord-328957-mzi8504f	377	15	:	:	:
cord-328957-mzi8504f	377	16	375	375	CD
cord-328957-mzi8504f	377	17	1	1	CD
cord-328957-mzi8504f	377	18	.	.	.
cord-328957-mzi8504f	378	1	The	the	DT
cord-328957-mzi8504f	378	2	influence	influence	NN
cord-328957-mzi8504f	378	3	of	of	IN
cord-328957-mzi8504f	378	4	the	the	DT
cord-328957-mzi8504f	378	5	duration	duration	NN
cord-328957-mzi8504f	378	6	of	of	IN
cord-328957-mzi8504f	378	7	the	the	DT
cord-328957-mzi8504f	378	8	work	work	NN
cord-328957-mzi8504f	378	9	/	/	SYM
cord-328957-mzi8504f	378	10	school	school	NN
cord-328957-mzi8504f	378	11	day	day	NN
cord-328957-mzi8504f	378	12	.	.	.
cord-328957-mzi8504f	379	1	376	376	CD
cord-328957-mzi8504f	379	2	2	2	CD
cord-328957-mzi8504f	379	3	.	.	.
cord-328957-mzi8504f	380	1	Lockdown	lockdown	NN
cord-328957-mzi8504f	380	2	in	in	IN
cord-328957-mzi8504f	380	3	homes	home	NNS
cord-328957-mzi8504f	380	4	with	with	IN
cord-328957-mzi8504f	380	5	partial	partial	JJ
cord-328957-mzi8504f	380	6	to	to	IN
cord-328957-mzi8504f	380	7	full	full	JJ
cord-328957-mzi8504f	380	8	separation	separation	NN
cord-328957-mzi8504f	380	9	between	between	IN
cord-328957-mzi8504f	380	10	individuals	individual	NNS
cord-328957-mzi8504f	380	11	.	.	.
cord-328957-mzi8504f	381	1	Duration	duration	NN
cord-328957-mzi8504f	381	2	of	of	IN
cord-328957-mzi8504f	381	3	working	work	VBG
cord-328957-mzi8504f	381	4	and	and	CC
cord-328957-mzi8504f	381	5	schooling	schooling	NN
cord-328957-mzi8504f	381	6	day	day	NN
cord-328957-mzi8504f	381	7	378	378	CD
cord-328957-mzi8504f	382	1	We	-PRON-	PRP
cord-328957-mzi8504f	382	2	will	will	MD
cord-328957-mzi8504f	382	3	assume	assume	VB
cord-328957-mzi8504f	382	4	that	that	IN
cord-328957-mzi8504f	382	5	children	child	NNS
cord-328957-mzi8504f	382	6	meet	meet	VB
cord-328957-mzi8504f	382	7	only	only	JJ
cord-328957-mzi8504f	382	8	children	child	NNS
cord-328957-mzi8504f	382	9	in	in	IN
cord-328957-mzi8504f	382	10	school	school	NN
cord-328957-mzi8504f	382	11	and	and	CC
cord-328957-mzi8504f	382	12	adults	adult	NNS
cord-328957-mzi8504f	382	13	meet	meet	VBP
cord-328957-mzi8504f	382	14	only	only	RB
cord-328957-mzi8504f	382	15	adults	adult	NNS
cord-328957-mzi8504f	382	16	at	at	IN
cord-328957-mzi8504f	382	17	379	379	CD
cord-328957-mzi8504f	382	18	work	work	NN
cord-328957-mzi8504f	382	19	and	and	CC
cord-328957-mzi8504f	382	20	at	at	IN
cord-328957-mzi8504f	382	21	home	home	NN
cord-328957-mzi8504f	382	22	adults	adult	NNS
cord-328957-mzi8504f	382	23	and	and	CC
cord-328957-mzi8504f	382	24	children	child	NNS
cord-328957-mzi8504f	382	25	meet	meet	VBP
cord-328957-mzi8504f	382	26	each	each	DT
cord-328957-mzi8504f	382	27	other	other	JJ
cord-328957-mzi8504f	382	28	.	.	.
cord-328957-mzi8504f	383	1	This	this	DT
cord-328957-mzi8504f	383	2	is	be	VBZ
cord-328957-mzi8504f	383	3	a	a	DT
cord-328957-mzi8504f	383	4	good	good	JJ
cord-328957-mzi8504f	383	5	approximation	approximation	NN
cord-328957-mzi8504f	383	6	of	of	IN
cord-328957-mzi8504f	383	7	380	380	CD
cord-328957-mzi8504f	383	8	the	the	DT
cord-328957-mzi8504f	383	9	real	real	JJ
cord-328957-mzi8504f	383	10	dynamics	dynamic	NNS
cord-328957-mzi8504f	383	11	as	as	IN
cord-328957-mzi8504f	383	12	a	a	DT
cord-328957-mzi8504f	383	13	relatively	relatively	RB
cord-328957-mzi8504f	383	14	small	small	JJ
cord-328957-mzi8504f	383	15	percent	percent	NN
cord-328957-mzi8504f	383	16	of	of	IN
cord-328957-mzi8504f	383	17	adults	adult	NNS
cord-328957-mzi8504f	383	18	work	work	VBP
cord-328957-mzi8504f	383	19	with	with	IN
cord-328957-mzi8504f	383	20	children	child	NNS
cord-328957-mzi8504f	383	21	during	during	IN
cord-328957-mzi8504f	383	22	the	the	DT
cord-328957-mzi8504f	383	23	381	381	CD
cord-328957-mzi8504f	383	24	day	day	NN
cord-328957-mzi8504f	383	25	which	which	WDT
cord-328957-mzi8504f	383	26	keeps	keep	VBZ
cord-328957-mzi8504f	383	27	the	the	DT
cord-328957-mzi8504f	383	28	interactions	interaction	NNS
cord-328957-mzi8504f	383	29	between	between	IN
cord-328957-mzi8504f	383	30	children	child	NNS
cord-328957-mzi8504f	383	31	and	and	CC
cord-328957-mzi8504f	383	32	adults	adult	NNS
cord-328957-mzi8504f	383	33	at	at	IN
cord-328957-mzi8504f	383	34	this	this	DT
cord-328957-mzi8504f	383	35	time	time	NN
cord-328957-mzi8504f	383	36	relatively	relatively	RB
cord-328957-mzi8504f	383	37	small	small	JJ
cord-328957-mzi8504f	383	38	382	382	CD
cord-328957-mzi8504f	383	39	to	to	IN
cord-328957-mzi8504f	383	40	the	the	DT
cord-328957-mzi8504f	383	41	extent	extent	NN
cord-328957-mzi8504f	383	42	of	of	IN
cord-328957-mzi8504f	383	43	interaction	interaction	NN
cord-328957-mzi8504f	383	44	when	when	WRB
cord-328957-mzi8504f	383	45	both	both	DT
cord-328957-mzi8504f	383	46	adults	adult	NNS
cord-328957-mzi8504f	383	47	and	and	CC
cord-328957-mzi8504f	383	48	children	child	NNS
cord-328957-mzi8504f	383	49	are	be	VBP
cord-328957-mzi8504f	383	50	at	at	IN
cord-328957-mzi8504f	383	51	home	home	NN
cord-328957-mzi8504f	383	52	and	and	CC
cord-328957-mzi8504f	383	53	therefore	therefore	RB
cord-328957-mzi8504f	383	54	383	383	CD
cord-328957-mzi8504f	383	55	can	can	MD
cord-328957-mzi8504f	383	56	be	be	VB
cord-328957-mzi8504f	383	57	neglected	neglect	VBN
cord-328957-mzi8504f	383	58	.	.	.
cord-328957-mzi8504f	384	1	Based	base	VBN
cord-328957-mzi8504f	384	2	on	on	IN
cord-328957-mzi8504f	384	3	the	the	DT
cord-328957-mzi8504f	384	4	proposed	propose	VBN
cord-328957-mzi8504f	384	5	spatial	spatial	JJ
cord-328957-mzi8504f	384	6	model	model	NN
cord-328957-mzi8504f	384	7	,	,	,
cord-328957-mzi8504f	384	8	we	-PRON-	PRP
cord-328957-mzi8504f	384	9	change	change	VBP
cord-328957-mzi8504f	384	10	the	the	DT
cord-328957-mzi8504f	384	11	number	number	NN
cord-328957-mzi8504f	384	12	of	of	IN
cord-328957-mzi8504f	384	13	hours	hour	NNS
cord-328957-mzi8504f	384	14	children	child	NNS
cord-328957-mzi8504f	384	15	and	and	CC
cord-328957-mzi8504f	384	16	385	385	CD
cord-328957-mzi8504f	384	17	adults	adult	NNS
cord-328957-mzi8504f	384	18	spend	spend	VBP
cord-328957-mzi8504f	384	19	in	in	IN
cord-328957-mzi8504f	384	20	school	school	NN
cord-328957-mzi8504f	384	21	and	and	CC
cord-328957-mzi8504f	384	22	work	work	VB
cord-328957-mzi8504f	384	23	each	each	DT
cord-328957-mzi8504f	384	24	day	day	NN
cord-328957-mzi8504f	384	25	,	,	,
cord-328957-mzi8504f	384	26	respectively	respectively	RB
cord-328957-mzi8504f	384	27	.	.	.
cord-328957-mzi8504f	385	1	Fig	fig	NN
cord-328957-mzi8504f	385	2	7a	7a	NN
cord-328957-mzi8504f	385	3	shows	show	VBZ
cord-328957-mzi8504f	385	4	the	the	DT
cord-328957-mzi8504f	385	5	average	average	JJ
cord-328957-mzi8504f	385	6	R	r	NN
cord-328957-mzi8504f	385	7	0	0	CD
cord-328957-mzi8504f	385	8	as	as	IN
cord-328957-mzi8504f	385	9	386	386	CD
cord-328957-mzi8504f	385	10	a	a	DT
cord-328957-mzi8504f	385	11	function	function	NN
cord-328957-mzi8504f	385	12	of	of	IN
cord-328957-mzi8504f	385	13	the	the	DT
cord-328957-mzi8504f	385	14	duration	duration	NN
cord-328957-mzi8504f	385	15	in	in	IN
cord-328957-mzi8504f	385	16	hours	hour	NNS
cord-328957-mzi8504f	385	17	of	of	IN
cord-328957-mzi8504f	385	18	the	the	DT
cord-328957-mzi8504f	385	19	working	work	VBG
cord-328957-mzi8504f	385	20	(	(	-LRB-
cord-328957-mzi8504f	385	21	d	d	NNP
cord-328957-mzi8504f	385	22	W	W	NNP
cord-328957-mzi8504f	385	23	)	)	-RRB-
cord-328957-mzi8504f	385	24	and	and	CC
cord-328957-mzi8504f	385	25	schooling	schooling	NN
cord-328957-mzi8504f	385	26	(	(	-LRB-
cord-328957-mzi8504f	385	27	d	d	NNP
cord-328957-mzi8504f	385	28	S	S	NNP
cord-328957-mzi8504f	385	29	)	)	-RRB-
cord-328957-mzi8504f	385	30	day	day	NN
cord-328957-mzi8504f	385	31	.	.	.
cord-328957-mzi8504f	386	1	The	the	DT
cord-328957-mzi8504f	386	2	387	387	CD
cord-328957-mzi8504f	386	3	dots	dot	NNS
cord-328957-mzi8504f	386	4	are	be	VBP
cord-328957-mzi8504f	386	5	the	the	DT
cord-328957-mzi8504f	386	6	calculated	calculate	VBN
cord-328957-mzi8504f	386	7	values	value	NNS
cord-328957-mzi8504f	386	8	from	from	IN
cord-328957-mzi8504f	386	9	the	the	DT
cord-328957-mzi8504f	386	10	simulator	simulator	NN
cord-328957-mzi8504f	386	11	and	and	CC
cord-328957-mzi8504f	386	12	the	the	DT
cord-328957-mzi8504f	386	13	surface	surface	NN
cord-328957-mzi8504f	386	14	is	be	VBZ
cord-328957-mzi8504f	386	15	a	a	DT
cord-328957-mzi8504f	386	16	fitting	fitting	JJ
cord-328957-mzi8504f	386	17	function	function	NN
cord-328957-mzi8504f	386	18	388	388	CD
cord-328957-mzi8504f	386	19	R	r	NN
cord-328957-mzi8504f	386	20	0	0	CD
cord-328957-mzi8504f	386	21	(	(	-LRB-
cord-328957-mzi8504f	386	22	d	d	NNP
cord-328957-mzi8504f	386	23	W	W	NNP
cord-328957-mzi8504f	386	24	,	,	,
cord-328957-mzi8504f	386	25	d	d	NNP
cord-328957-mzi8504f	386	26	S	S	NNP
cord-328957-mzi8504f	386	27	)	)	-RRB-
cord-328957-mzi8504f	386	28	.	.	.
cord-328957-mzi8504f	387	1	The	the	DT
cord-328957-mzi8504f	387	2	fitting	fitting	JJ
cord-328957-mzi8504f	387	3	function	function	NN
cord-328957-mzi8504f	387	4	is	be	VBZ
cord-328957-mzi8504f	387	5	calculated	calculate	VBN
cord-328957-mzi8504f	387	6	using	use	VBG
cord-328957-mzi8504f	387	7	the	the	DT
cord-328957-mzi8504f	387	8	least	least	JJS
cord-328957-mzi8504f	387	9	mean	mean	VBP
cord-328957-mzi8504f	387	10	square	square	JJ
cord-328957-mzi8504f	387	11	(	(	-LRB-
cord-328957-mzi8504f	387	12	LMS	LMS	NNP
cord-328957-mzi8504f	387	13	)	)	-RRB-
cord-328957-mzi8504f	387	14	389	389	CD
cord-328957-mzi8504f	387	15	method	method	NN
cord-328957-mzi8504f	387	16	[	[	-LRB-
cord-328957-mzi8504f	387	17	33	33	CD
cord-328957-mzi8504f	387	18	]	]	-RRB-
cord-328957-mzi8504f	387	19	.	.	.
cord-328957-mzi8504f	388	1	In	in	IN
cord-328957-mzi8504f	388	2	order	order	NN
cord-328957-mzi8504f	388	3	to	to	TO
cord-328957-mzi8504f	388	4	use	use	VB
cord-328957-mzi8504f	388	5	the	the	DT
cord-328957-mzi8504f	388	6	LMS	LMS	NNP
cord-328957-mzi8504f	388	7	method	method	NN
cord-328957-mzi8504f	388	8	,	,	,
cord-328957-mzi8504f	388	9	one	one	PRP
cord-328957-mzi8504f	388	10	needs	need	VBZ
cord-328957-mzi8504f	388	11	to	to	TO
cord-328957-mzi8504f	388	12	define	define	VB
cord-328957-mzi8504f	388	13	the	the	DT
cord-328957-mzi8504f	388	14	family	family	NN
cord-328957-mzi8504f	388	15	function	function	VB
cord-328957-mzi8504f	388	16	390	390	CD
cord-328957-mzi8504f	388	17	approximating	approximate	VBG
cord-328957-mzi8504f	388	18	a	a	DT
cord-328957-mzi8504f	388	19	function	function	NN
cord-328957-mzi8504f	388	20	.	.	.
cord-328957-mzi8504f	389	1	The	the	DT
cord-328957-mzi8504f	389	2	family	family	NN
cord-328957-mzi8504f	389	3	function	function	NN
cord-328957-mzi8504f	389	4	391	391	CD
cord-328957-mzi8504f	389	5	f	f	NN
cord-328957-mzi8504f	389	6	(	(	-LRB-
cord-328957-mzi8504f	389	7	a	a	NNP
cord-328957-mzi8504f	389	8	,	,	,
cord-328957-mzi8504f	389	9	c	c	NN
cord-328957-mzi8504f	389	10	)	)	-RRB-
cord-328957-mzi8504f	389	11	=	=	NFP
cord-328957-mzi8504f	390	1	p	p	NN
cord-328957-mzi8504f	390	2	1	1	CD
cord-328957-mzi8504f	390	3	+	+	CC
cord-328957-mzi8504f	390	4	p	p	NN
cord-328957-mzi8504f	390	5	2	2	CD
cord-328957-mzi8504f	391	1	a	a	LS
cord-328957-mzi8504f	391	2	+	+	NN
cord-328957-mzi8504f	392	1	p	p	NN
cord-328957-mzi8504f	392	2	3	3	CD
cord-328957-mzi8504f	392	3	c	c	NN
cord-328957-mzi8504f	392	4	+	+	CC
cord-328957-mzi8504f	393	1	p	p	NN
cord-328957-mzi8504f	393	2	4	4	CD
cord-328957-mzi8504f	393	3	ac	ac	NN
cord-328957-mzi8504f	393	4	+	+	CC
cord-328957-mzi8504f	394	1	p	p	NN
cord-328957-mzi8504f	394	2	5	5	CD
cord-328957-mzi8504f	394	3	a	a	DT
cord-328957-mzi8504f	394	4	2	2	CD
cord-328957-mzi8504f	395	1	+	+	CC
cord-328957-mzi8504f	395	2	p	p	NN
cord-328957-mzi8504f	395	3	6	6	CD
cord-328957-mzi8504f	395	4	c	c	NN
cord-328957-mzi8504f	395	5	2	2	CD
cord-328957-mzi8504f	395	6	has	have	VBZ
cord-328957-mzi8504f	395	7	been	be	VBN
cord-328957-mzi8504f	395	8	chosen	choose	VBN
cord-328957-mzi8504f	395	9	to	to	TO
cord-328957-mzi8504f	395	10	balance	balance	VB
cord-328957-mzi8504f	395	11	between	between	IN
cord-328957-mzi8504f	395	12	the	the	DT
cord-328957-mzi8504f	395	13	accuracy	accuracy	NN
cord-328957-mzi8504f	395	14	of	of	IN
cord-328957-mzi8504f	395	15	the	the	DT
cord-328957-mzi8504f	395	16	sampled	sample	VBN
cord-328957-mzi8504f	395	17	data	datum	NNS
cord-328957-mzi8504f	395	18	on	on	IN
cord-328957-mzi8504f	395	19	the	the	DT
cord-328957-mzi8504f	395	20	one	one	CD
cord-328957-mzi8504f	395	21	hand	hand	NN
cord-328957-mzi8504f	395	22	392	392	CD
cord-328957-mzi8504f	395	23	and	and	CC
cord-328957-mzi8504f	395	24	simplicity	simplicity	NN
cord-328957-mzi8504f	395	25	of	of	IN
cord-328957-mzi8504f	395	26	usage	usage	NN
cord-328957-mzi8504f	395	27	on	on	IN
cord-328957-mzi8504f	395	28	the	the	DT
cord-328957-mzi8504f	395	29	other	other	JJ
cord-328957-mzi8504f	395	30	[	[	-LRB-
cord-328957-mzi8504f	395	31	34	34	CD
cord-328957-mzi8504f	395	32	]	]	-RRB-
cord-328957-mzi8504f	395	33	,	,	,
cord-328957-mzi8504f	395	34	and	and	CC
cord-328957-mzi8504f	395	35	was	be	VBD
cord-328957-mzi8504f	395	36	obtained	obtain	VBN
cord-328957-mzi8504f	395	37	with	with	IN
cord-328957-mzi8504f	395	38	a	a	DT
cord-328957-mzi8504f	395	39	coefficient	coefficient	NN
cord-328957-mzi8504f	395	40	of	of	IN
cord-328957-mzi8504f	395	41	determination	determination	NN
cord-328957-mzi8504f	395	42	 	 	_SP
cord-328957-mzi8504f	395	43	obtained	obtain	VBD
cord-328957-mzi8504f	395	44	with	with	IN
cord-328957-mzi8504f	395	45	a	a	DT
cord-328957-mzi8504f	395	46	coefficient	coefficient	NN
cord-328957-mzi8504f	395	47	of	of	IN
cord-328957-mzi8504f	395	48	determination	determination	NN
cord-328957-mzi8504f	395	49	R	r	NN
cord-328957-mzi8504f	395	50	2	2	CD
cord-328957-mzi8504f	395	51	=	=	SYM
cord-328957-mzi8504f	395	52	0.748	0.748	CD
cord-328957-mzi8504f	395	53	.	.	.
cord-328957-mzi8504f	396	1	The	the	DT
cord-328957-mzi8504f	396	2	duration	duration	NN
cord-328957-mzi8504f	396	3	of	of	IN
cord-328957-mzi8504f	396	4	either	either	DT
cord-328957-mzi8504f	396	5	working	work	VBG
cord-328957-mzi8504f	396	6	or	or	CC
cord-328957-mzi8504f	396	7	schooling	schooling	NN
cord-328957-mzi8504f	396	8	day	day	NN
cord-328957-mzi8504f	396	9	has	have	VBZ
cord-328957-mzi8504f	396	10	a	a	DT
cord-328957-mzi8504f	396	11	local	local	JJ
cord-328957-mzi8504f	396	12	minimum	minimum	NN
cord-328957-mzi8504f	396	13	at	at	IN
cord-328957-mzi8504f	396	14	(	(	-LRB-
cord-328957-mzi8504f	396	15	d	d	NNP
cord-328957-mzi8504f	396	16	W	W	NNP
cord-328957-mzi8504f	396	17	,	,	,
cord-328957-mzi8504f	396	18	d	d	NNP
cord-328957-mzi8504f	396	19	S	S	NNP
cord-328957-mzi8504f	396	20	)	)	-RRB-
cord-328957-mzi8504f	396	21	=	=	SYM
cord-328957-mzi8504f	396	22	399	399	CD
cord-328957-mzi8504f	396	23	(	(	-LRB-
cord-328957-mzi8504f	396	24	18	18	CD
cord-328957-mzi8504f	396	25	,	,	,
cord-328957-mzi8504f	396	26	14	14	CD
cord-328957-mzi8504f	396	27	)	)	-RRB-
cord-328957-mzi8504f	396	28	with	with	IN
cord-328957-mzi8504f	396	29	R	r	NN
cord-328957-mzi8504f	396	30	0	0	CD
cord-328957-mzi8504f	396	31	=	=	SYM
cord-328957-mzi8504f	396	32	0.808	0.808	CD
cord-328957-mzi8504f	396	33	,	,	,
cord-328957-mzi8504f	396	34	as	as	IN
cord-328957-mzi8504f	396	35	shown	show	VBN
cord-328957-mzi8504f	396	36	in	in	IN
cord-328957-mzi8504f	396	37	Fig	Fig	NNP
cord-328957-mzi8504f	396	38	7a	7a	NN
cord-328957-mzi8504f	396	39	.	.	.
cord-328957-mzi8504f	397	1	The	the	DT
cord-328957-mzi8504f	397	2	optimal	optimal	JJ
cord-328957-mzi8504f	397	3	point	point	NN
cord-328957-mzi8504f	397	4	from	from	IN
cord-328957-mzi8504f	397	5	Eq	Eq	NNP
cord-328957-mzi8504f	397	6	(	(	-LRB-
cord-328957-mzi8504f	397	7	17	17	CD
cord-328957-mzi8504f	397	8	)	)	-RRB-
cord-328957-mzi8504f	397	9	is	be	VBZ
cord-328957-mzi8504f	397	10	400	400	CD
cord-328957-mzi8504f	398	1	(	(	-LRB-
cord-328957-mzi8504f	398	2	d	d	NNP
cord-328957-mzi8504f	398	3	W	W	NNP
cord-328957-mzi8504f	398	4	,	,	,
cord-328957-mzi8504f	398	5	d	d	NNP
cord-328957-mzi8504f	398	6	S	s	NN
cord-328957-mzi8504f	398	7	)	)	-RRB-
cord-328957-mzi8504f	398	8	=	=	NFP
cord-328957-mzi8504f	398	9	(	(	-LRB-
cord-328957-mzi8504f	398	10	9	9	CD
cord-328957-mzi8504f	398	11	,	,	,
cord-328957-mzi8504f	398	12	17.5	17.5	CD
cord-328957-mzi8504f	398	13	)	)	-RRB-
cord-328957-mzi8504f	398	14	with	with	IN
cord-328957-mzi8504f	398	15	R	r	NN
cord-328957-mzi8504f	398	16	0	0	CD
cord-328957-mzi8504f	398	17	=	=	SYM
cord-328957-mzi8504f	398	18	0.967	0.967	CD
cord-328957-mzi8504f	398	19	obtained	obtain	VBN
cord-328957-mzi8504f	398	20	by	by	IN
cord-328957-mzi8504f	398	21	setting	set	VBG
cord-328957-mzi8504f	398	22	the	the	DT
cord-328957-mzi8504f	398	23	gradient	gradient	NN
cord-328957-mzi8504f	398	24	of	of	IN
cord-328957-mzi8504f	398	25	R	r	NN
cord-328957-mzi8504f	398	26	0	0	CD
cord-328957-mzi8504f	399	1	(	(	-LRB-
cord-328957-mzi8504f	399	2	d	d	NNP
cord-328957-mzi8504f	399	3	W	W	NNP
cord-328957-mzi8504f	399	4	,	,	,
cord-328957-mzi8504f	399	5	d	d	NNP
cord-328957-mzi8504f	399	6	S	S	NNP
cord-328957-mzi8504f	399	7	)	)	-RRB-
cord-328957-mzi8504f	399	8	401	401	CD
cord-328957-mzi8504f	399	9	to	to	IN
cord-328957-mzi8504f	399	10	zero	zero	CD
cord-328957-mzi8504f	399	11	.	.	.
cord-328957-mzi8504f	400	1	The	the	DT
cord-328957-mzi8504f	400	2	inconsistency	inconsistency	NN
cord-328957-mzi8504f	400	3	in	in	IN
cord-328957-mzi8504f	400	4	the	the	DT
cord-328957-mzi8504f	400	5	values	value	NNS
cord-328957-mzi8504f	400	6	is	be	VBZ
cord-328957-mzi8504f	400	7	resulted	result	VBN
cord-328957-mzi8504f	400	8	by	by	IN
cord-328957-mzi8504f	400	9	the	the	DT
cord-328957-mzi8504f	400	10	error	error	NN
cord-328957-mzi8504f	400	11	in	in	IN
cord-328957-mzi8504f	400	12	the	the	DT
cord-328957-mzi8504f	400	13	fitting	fitting	JJ
cord-328957-mzi8504f	400	14	function	function	NN
cord-328957-mzi8504f	400	15	402	402	CD
cord-328957-mzi8504f	400	16	but	but	CC
cord-328957-mzi8504f	400	17	both	both	DT
cord-328957-mzi8504f	400	18	show	show	VBP
cord-328957-mzi8504f	400	19	the	the	DT
cord-328957-mzi8504f	400	20	same	same	JJ
cord-328957-mzi8504f	400	21	behavior	behavior	NN
cord-328957-mzi8504f	400	22	in	in	IN
cord-328957-mzi8504f	400	23	which	which	WDT
cord-328957-mzi8504f	400	24	longer	long	RBR
cord-328957-mzi8504f	400	25	working	work	VBG
cord-328957-mzi8504f	400	26	hours	hour	NNS
cord-328957-mzi8504f	400	27	reduce	reduce	VBP
cord-328957-mzi8504f	400	28	significantly	significantly	RB
cord-328957-mzi8504f	400	29	403	403	CD
cord-328957-mzi8504f	400	30	the	the	DT
cord-328957-mzi8504f	400	31	infection	infection	NN
cord-328957-mzi8504f	400	32	rate	rate	NN
cord-328957-mzi8504f	400	33	but	but	CC
cord-328957-mzi8504f	401	1	too	too	RB
cord-328957-mzi8504f	401	2	many	many	JJ
cord-328957-mzi8504f	401	3	hours	hour	NNS
cord-328957-mzi8504f	401	4	increase	increase	VBP
cord-328957-mzi8504f	401	5	the	the	DT
cord-328957-mzi8504f	401	6	infection	infection	NN
cord-328957-mzi8504f	401	7	rate	rate	NN
cord-328957-mzi8504f	401	8	back	back	RB
cord-328957-mzi8504f	401	9	as	as	IN
cord-328957-mzi8504f	401	10	the	the	DT
cord-328957-mzi8504f	401	11	lack	lack	NN
cord-328957-mzi8504f	401	12	of	of	IN
cord-328957-mzi8504f	401	13	404	404	CD
cord-328957-mzi8504f	401	14	circulation	circulation	NN
cord-328957-mzi8504f	401	15	of	of	IN
cord-328957-mzi8504f	401	16	contagious	contagious	JJ
cord-328957-mzi8504f	401	17	adults	adult	NNS
cord-328957-mzi8504f	401	18	and	and	CC
cord-328957-mzi8504f	401	19	children	child	NNS
cord-328957-mzi8504f	401	20	during	during	IN
cord-328957-mzi8504f	401	21	the	the	DT
cord-328957-mzi8504f	401	22	day	day	NN
cord-328957-mzi8504f	401	23	helps	help	VBZ
cord-328957-mzi8504f	401	24	to	to	TO
cord-328957-mzi8504f	401	25	reduce	reduce	VB
cord-328957-mzi8504f	401	26	the	the	DT
cord-328957-mzi8504f	401	27	infection	infection	NN
cord-328957-mzi8504f	401	28	405	405	CD
cord-328957-mzi8504f	401	29	rate	rate	NN
cord-328957-mzi8504f	401	30	.	.	.
cord-328957-mzi8504f	402	1	Furthermore	furthermore	RB
cord-328957-mzi8504f	402	2	,	,	,
cord-328957-mzi8504f	402	3	Fig	Fig	NNP
cord-328957-mzi8504f	402	4	7b	7b	NN
cord-328957-mzi8504f	402	5	presents	present	VBZ
cord-328957-mzi8504f	402	6	a	a	DT
cord-328957-mzi8504f	402	7	binary	binary	JJ
cord-328957-mzi8504f	402	8	classification	classification	NN
cord-328957-mzi8504f	402	9	where	where	WRB
cord-328957-mzi8504f	402	10	red	red	JJ
cord-328957-mzi8504f	402	11	cells	cell	NNS
cord-328957-mzi8504f	402	12	are	be	VBP
cord-328957-mzi8504f	402	13	cases	case	NNS
cord-328957-mzi8504f	402	14	406	406	CD
cord-328957-mzi8504f	402	15	with	with	IN
cord-328957-mzi8504f	402	16	an	an	DT
cord-328957-mzi8504f	402	17	outbreak	outbreak	NN
cord-328957-mzi8504f	402	18	and	and	CC
cord-328957-mzi8504f	402	19	green	green	JJ
cord-328957-mzi8504f	402	20	cells	cell	NNS
cord-328957-mzi8504f	402	21	are	be	VBP
cord-328957-mzi8504f	402	22	cases	case	NNS
cord-328957-mzi8504f	402	23	without	without	IN
cord-328957-mzi8504f	402	24	outbreak	outbreak	NN
cord-328957-mzi8504f	402	25	during	during	IN
cord-328957-mzi8504f	402	26	the	the	DT
cord-328957-mzi8504f	402	27	simulation	simulation	NN
cord-328957-mzi8504f	402	28	as	as	IN
cord-328957-mzi8504f	402	29	a	a	DT
cord-328957-mzi8504f	402	30	407	407	CD
cord-328957-mzi8504f	402	31	function	function	NN
cord-328957-mzi8504f	402	32	of	of	IN
cord-328957-mzi8504f	402	33	the	the	DT
cord-328957-mzi8504f	402	34	working	work	VBG
cord-328957-mzi8504f	402	35	(	(	-LRB-
cord-328957-mzi8504f	402	36	d	d	NNP
cord-328957-mzi8504f	402	37	W	W	NNP
cord-328957-mzi8504f	402	38	)	)	-RRB-
cord-328957-mzi8504f	402	39	and	and	CC
cord-328957-mzi8504f	402	40	schooling	schooling	NN
cord-328957-mzi8504f	402	41	(	(	-LRB-
cord-328957-mzi8504f	402	42	d	d	NNP
cord-328957-mzi8504f	402	43	S	S	NNP
cord-328957-mzi8504f	402	44	)	)	-RRB-
cord-328957-mzi8504f	402	45	duration	duration	NN
cord-328957-mzi8504f	402	46	in	in	IN
cord-328957-mzi8504f	402	47	hours	hour	NNS
cord-328957-mzi8504f	402	48	each	each	DT
cord-328957-mzi8504f	402	49	day	day	NN
cord-328957-mzi8504f	402	50	.	.	.
cord-328957-mzi8504f	403	1	November	November	NNP
cord-328957-mzi8504f	403	2	2	2	CD
cord-328957-mzi8504f	403	3	,	,	,
cord-328957-mzi8504f	403	4	2020	2020	CD
cord-328957-mzi8504f	403	5	18/28	18/28	CD
cord-328957-mzi8504f	403	6	.	.	.
cord-328957-mzi8504f	404	1	CC	CC	NNP
cord-328957-mzi8504f	404	2	-	-	HYPH
cord-328957-mzi8504f	404	3	BY	BY	NNP
cord-328957-mzi8504f	404	4	-	-	HYPH
cord-328957-mzi8504f	404	5	NC	NC	NNP
cord-328957-mzi8504f	404	6	-	-	HYPH
cord-328957-mzi8504f	404	7	ND	ND	NNP
cord-328957-mzi8504f	404	8	4.0	4.0	CD
cord-328957-mzi8504f	404	9	International	international	JJ
cord-328957-mzi8504f	404	10	license	license	NN
cord-328957-mzi8504f	404	11	It	-PRON-	PRP
cord-328957-mzi8504f	404	12	is	be	VBZ
cord-328957-mzi8504f	404	13	made	make	VBN
cord-328957-mzi8504f	404	14	available	available	JJ
cord-328957-mzi8504f	404	15	under	under	IN
cord-328957-mzi8504f	404	16	a	a	DT
cord-328957-mzi8504f	405	1	is	be	VBZ
cord-328957-mzi8504f	405	2	the	the	DT
cord-328957-mzi8504f	405	3	author	author	NN
cord-328957-mzi8504f	405	4	/	/	SYM
cord-328957-mzi8504f	405	5	funder	funder	NN
cord-328957-mzi8504f	405	6	,	,	,
cord-328957-mzi8504f	405	7	who	who	WP
cord-328957-mzi8504f	405	8	has	have	VBZ
cord-328957-mzi8504f	405	9	granted	grant	VBN
cord-328957-mzi8504f	405	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	405	11	a	a	DT
cord-328957-mzi8504f	405	12	license	license	NN
cord-328957-mzi8504f	405	13	to	to	TO
cord-328957-mzi8504f	405	14	display	display	VB
cord-328957-mzi8504f	405	15	the	the	DT
cord-328957-mzi8504f	405	16	preprint	preprint	NN
cord-328957-mzi8504f	405	17	in	in	IN
cord-328957-mzi8504f	405	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	405	19	.	.	.
cord-328957-mzi8504f	406	1	The	the	DT
cord-328957-mzi8504f	406	2	copyright	copyright	NN
cord-328957-mzi8504f	406	3	holder	holder	NN
cord-328957-mzi8504f	406	4	for	for	IN
cord-328957-mzi8504f	406	5	this	this	DT
cord-328957-mzi8504f	406	6	preprint	preprint	NN
cord-328957-mzi8504f	406	7	this	this	DT
cord-328957-mzi8504f	406	8	version	version	NN
cord-328957-mzi8504f	406	9	posted	post	VBN
cord-328957-mzi8504f	406	10	November	November	NNP
cord-328957-mzi8504f	406	11	4	4	CD
cord-328957-mzi8504f	406	12	,	,	,
cord-328957-mzi8504f	406	13	2020	2020	CD
cord-328957-mzi8504f	406	14	.	.	.
cord-328957-mzi8504f	407	1	;	;	:
cord-328957-mzi8504f	407	2	https://doi.org/10.1101/2020.11.02.20224584	https://doi.org/10.1101/2020.11.02.20224584	NNP
cord-328957-mzi8504f	407	3	doi	doi	NN
cord-328957-mzi8504f	407	4	:	:	:
cord-328957-mzi8504f	408	1	medRxiv	medRxiv	NNP
cord-328957-mzi8504f	408	2	preprint	preprint	NN
cord-328957-mzi8504f	408	3	(	(	-LRB-
cord-328957-mzi8504f	408	4	a	a	DT
cord-328957-mzi8504f	408	5	)	)	-RRB-
cord-328957-mzi8504f	408	6	Average	average	JJ
cord-328957-mzi8504f	408	7	R0	R0	NNP
cord-328957-mzi8504f	408	8	.	.	.
cord-328957-mzi8504f	409	1	(	(	-LRB-
cord-328957-mzi8504f	409	2	18	18	CD
cord-328957-mzi8504f	409	3	)	)	-RRB-
cord-328957-mzi8504f	409	4	.	.	.
cord-328957-mzi8504f	410	1	There	there	EX
cord-328957-mzi8504f	410	2	is	be	VBZ
cord-328957-mzi8504f	410	3	a	a	DT
cord-328957-mzi8504f	410	4	sharp	sharp	JJ
cord-328957-mzi8504f	410	5	decline	decline	NN
cord-328957-mzi8504f	410	6	between	between	IN
cord-328957-mzi8504f	410	7	a	a	DT
cord-328957-mzi8504f	410	8	shorter	short	JJR
cord-328957-mzi8504f	410	9	412	412	CD
cord-328957-mzi8504f	410	10	working	working	NN
cord-328957-mzi8504f	410	11	-	-	HYPH
cord-328957-mzi8504f	410	12	schooling	school	VBG
cord-328957-mzi8504f	410	13	duration	duration	NN
cord-328957-mzi8504f	410	14	of	of	IN
cord-328957-mzi8504f	410	15	10	10	CD
cord-328957-mzi8504f	410	16	hours	hour	NNS
cord-328957-mzi8504f	410	17	or	or	CC
cord-328957-mzi8504f	410	18	less	less	JJR
cord-328957-mzi8504f	410	19	and	and	CC
cord-328957-mzi8504f	410	20	longer	long	RBR
cord-328957-mzi8504f	410	21	than	than	IN
cord-328957-mzi8504f	410	22	that	that	DT
cord-328957-mzi8504f	410	23	.	.	.
cord-328957-mzi8504f	411	1	This	this	DT
cord-328957-mzi8504f	411	2	is	be	VBZ
cord-328957-mzi8504f	411	3	associated	associate	VBN
cord-328957-mzi8504f	411	4	413	413	CD
cord-328957-mzi8504f	411	5	with	with	IN
cord-328957-mzi8504f	411	6	the	the	DT
cord-328957-mzi8504f	411	7	fact	fact	NN
cord-328957-mzi8504f	411	8	that	that	IN
cord-328957-mzi8504f	411	9	with	with	IN
cord-328957-mzi8504f	411	10	more	more	JJR
cord-328957-mzi8504f	411	11	than	than	IN
cord-328957-mzi8504f	411	12	12	12	CD
cord-328957-mzi8504f	411	13	hours	hour	NNS
cord-328957-mzi8504f	411	14	(	(	-LRB-
cord-328957-mzi8504f	411	15	half	half	JJ
cord-328957-mzi8504f	411	16	-	-	HYPH
cord-328957-mzi8504f	411	17	day	day	NN
cord-328957-mzi8504f	411	18	)	)	-RRB-
cord-328957-mzi8504f	411	19	the	the	DT
cord-328957-mzi8504f	411	20	dynamics	dynamic	NNS
cord-328957-mzi8504f	411	21	that	that	WDT
cord-328957-mzi8504f	411	22	have	have	VBP
cord-328957-mzi8504f	411	23	a	a	DT
cord-328957-mzi8504f	411	24	higher	high	JJR
cord-328957-mzi8504f	411	25	414	414	CD
cord-328957-mzi8504f	411	26	incidence	incidence	NN
cord-328957-mzi8504f	411	27	are	be	VBP
cord-328957-mzi8504f	411	28	the	the	DT
cord-328957-mzi8504f	411	29	ones	one	NNS
cord-328957-mzi8504f	411	30	with	with	IN
cord-328957-mzi8504f	411	31	β	β	NN
cord-328957-mzi8504f	411	32	ca	ca	NN
cord-328957-mzi8504f	411	33	=	=	.
cord-328957-mzi8504f	412	1	β	β	NN
cord-328957-mzi8504f	412	2	ac	ac	NN
cord-328957-mzi8504f	412	3	=	=	NN
cord-328957-mzi8504f	412	4	0	0	NFP
cord-328957-mzi8504f	412	5	which	which	WDT
cord-328957-mzi8504f	412	6	reduces	reduce	VBZ
cord-328957-mzi8504f	412	7	the	the	DT
cord-328957-mzi8504f	412	8	number	number	NN
cord-328957-mzi8504f	412	9	of	of	IN
cord-328957-mzi8504f	412	10	infected	infect	VBN
cord-328957-mzi8504f	412	11	415	415	CD
cord-328957-mzi8504f	412	12	individuals	individual	NNS
cord-328957-mzi8504f	412	13	in	in	IN
cord-328957-mzi8504f	412	14	total	total	NN
cord-328957-mzi8504f	412	15	.	.	.
cord-328957-mzi8504f	412	16	.	.	.
cord-328957-mzi8504f	413	1	CC	CC	NNP
cord-328957-mzi8504f	413	2	-	-	HYPH
cord-328957-mzi8504f	413	3	BY	BY	NNP
cord-328957-mzi8504f	413	4	-	-	HYPH
cord-328957-mzi8504f	413	5	NC	NC	NNP
cord-328957-mzi8504f	413	6	-	-	HYPH
cord-328957-mzi8504f	413	7	ND	ND	NNP
cord-328957-mzi8504f	413	8	4.0	4.0	CD
cord-328957-mzi8504f	413	9	International	international	JJ
cord-328957-mzi8504f	413	10	license	license	NN
cord-328957-mzi8504f	414	1	It	-PRON-	PRP
cord-328957-mzi8504f	414	2	is	be	VBZ
cord-328957-mzi8504f	414	3	made	make	VBN
cord-328957-mzi8504f	414	4	available	available	JJ
cord-328957-mzi8504f	414	5	under	under	IN
cord-328957-mzi8504f	414	6	a	a	DT
cord-328957-mzi8504f	415	1	is	be	VBZ
cord-328957-mzi8504f	415	2	the	the	DT
cord-328957-mzi8504f	415	3	author	author	NN
cord-328957-mzi8504f	415	4	/	/	SYM
cord-328957-mzi8504f	415	5	funder	funder	NN
cord-328957-mzi8504f	415	6	,	,	,
cord-328957-mzi8504f	415	7	who	who	WP
cord-328957-mzi8504f	415	8	has	have	VBZ
cord-328957-mzi8504f	415	9	granted	grant	VBN
cord-328957-mzi8504f	415	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	415	11	a	a	DT
cord-328957-mzi8504f	415	12	license	license	NN
cord-328957-mzi8504f	415	13	to	to	TO
cord-328957-mzi8504f	415	14	display	display	VB
cord-328957-mzi8504f	415	15	the	the	DT
cord-328957-mzi8504f	415	16	preprint	preprint	NN
cord-328957-mzi8504f	415	17	in	in	IN
cord-328957-mzi8504f	415	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	415	19	.	.	.
cord-328957-mzi8504f	416	1	The	the	DT
cord-328957-mzi8504f	416	2	copyright	copyright	NN
cord-328957-mzi8504f	416	3	holder	holder	NN
cord-328957-mzi8504f	416	4	for	for	IN
cord-328957-mzi8504f	416	5	this	this	DT
cord-328957-mzi8504f	416	6	preprint	preprint	NN
cord-328957-mzi8504f	416	7	this	this	DT
cord-328957-mzi8504f	416	8	version	version	NN
cord-328957-mzi8504f	416	9	posted	post	VBN
cord-328957-mzi8504f	416	10	November	November	NNP
cord-328957-mzi8504f	416	11	4	4	CD
cord-328957-mzi8504f	416	12	,	,	,
cord-328957-mzi8504f	416	13	2020	2020	CD
cord-328957-mzi8504f	416	14	.	.	.
cord-328957-mzi8504f	417	1	;	;	:
cord-328957-mzi8504f	417	2	https://doi.org/10.1101/2020.11.02.20224584	https://doi.org/10.1101/2020.11.02.20224584	NNP
cord-328957-mzi8504f	417	3	doi	doi	NN
cord-328957-mzi8504f	417	4	:	:	:
cord-328957-mzi8504f	418	1	medRxiv	medRxiv	NNP
cord-328957-mzi8504f	418	2	preprint	preprint	NN
cord-328957-mzi8504f	418	3	and	and	CC
cord-328957-mzi8504f	418	4	mental	mental	JJ
cord-328957-mzi8504f	418	5	)	)	-RRB-
cord-328957-mzi8504f	418	6	in	in	IN
cord-328957-mzi8504f	418	7	the	the	DT
cord-328957-mzi8504f	418	8	population	population	NN
cord-328957-mzi8504f	418	9	.	.	.
cord-328957-mzi8504f	419	1	Therefore	therefore	RB
cord-328957-mzi8504f	419	2	,	,	,
cord-328957-mzi8504f	419	3	the	the	DT
cord-328957-mzi8504f	419	4	optimization	optimization	NN
cord-328957-mzi8504f	419	5	task	task	NN
cord-328957-mzi8504f	419	6	of	of	IN
cord-328957-mzi8504f	419	7	finding	find	VBG
cord-328957-mzi8504f	419	8	the	the	DT
cord-328957-mzi8504f	419	9	minimal	minimal	JJ
cord-328957-mzi8504f	419	10	423	423	CD
cord-328957-mzi8504f	419	11	portion	portion	NN
cord-328957-mzi8504f	419	12	of	of	IN
cord-328957-mzi8504f	419	13	the	the	DT
cord-328957-mzi8504f	419	14	population	population	NN
cord-328957-mzi8504f	419	15	to	to	TO
cord-328957-mzi8504f	419	16	be	be	VB
cord-328957-mzi8504f	419	17	locked	lock	VBN
cord-328957-mzi8504f	419	18	down	down	RP
cord-328957-mzi8504f	419	19	such	such	JJ
cord-328957-mzi8504f	419	20	that	that	IN
cord-328957-mzi8504f	419	21	the	the	DT
cord-328957-mzi8504f	419	22	epidemic	epidemic	NN
cord-328957-mzi8504f	419	23	will	will	MD
cord-328957-mzi8504f	419	24	be	be	VB
cord-328957-mzi8504f	419	25	constrained	constrain	VBN
cord-328957-mzi8504f	419	26	424	424	CD
cord-328957-mzi8504f	419	27	is	be	VBZ
cord-328957-mzi8504f	419	28	important	important	JJ
cord-328957-mzi8504f	419	29	.	.	.
cord-328957-mzi8504f	420	1	The	the	DT
cord-328957-mzi8504f	420	2	optimization	optimization	NN
cord-328957-mzi8504f	420	3	problem	problem	NN
cord-328957-mzi8504f	420	4	can	can	MD
cord-328957-mzi8504f	420	5	be	be	VB
cord-328957-mzi8504f	420	6	written	write	VBN
cord-328957-mzi8504f	420	7	formally	formally	RB
cord-328957-mzi8504f	420	8	as	as	IN
cord-328957-mzi8504f	420	9	426	426	CD
cord-328957-mzi8504f	420	10	min	min	NNP
cord-328957-mzi8504f	420	11	La	La	NNP
cord-328957-mzi8504f	420	12	,	,	,
cord-328957-mzi8504f	420	13	Lc	Lc	NNP
cord-328957-mzi8504f	421	1	where	where	WRB
cord-328957-mzi8504f	421	2	L	L	NNP
cord-328957-mzi8504f	421	3	a	a	NNP
cord-328957-mzi8504f	421	4	and	and	CC
cord-328957-mzi8504f	421	5	L	L	NNP
cord-328957-mzi8504f	421	6	c	c	NNP
cord-328957-mzi8504f	421	7	are	be	VBP
cord-328957-mzi8504f	421	8	the	the	DT
cord-328957-mzi8504f	421	9	portion	portion	NN
cord-328957-mzi8504f	421	10	of	of	IN
cord-328957-mzi8504f	421	11	adults	adult	NNS
cord-328957-mzi8504f	421	12	and	and	CC
cord-328957-mzi8504f	421	13	children	child	NNS
cord-328957-mzi8504f	421	14	in	in	IN
cord-328957-mzi8504f	421	15	lockdown	lockdown	NN
cord-328957-mzi8504f	421	16	.	.	.
cord-328957-mzi8504f	422	1	We	-PRON-	PRP
cord-328957-mzi8504f	422	2	ran	run	VBD
cord-328957-mzi8504f	422	3	the	the	DT
cord-328957-mzi8504f	422	4	spatial	spatial	JJ
cord-328957-mzi8504f	422	5	427	427	CD
cord-328957-mzi8504f	422	6	model	model	NN
cord-328957-mzi8504f	422	7	multiple	multiple	JJ
cord-328957-mzi8504f	422	8	times	time	NNS
cord-328957-mzi8504f	422	9	where	where	WRB
cord-328957-mzi8504f	422	10	each	each	DT
cord-328957-mzi8504f	422	11	time	time	NN
cord-328957-mzi8504f	422	12	a	a	DT
cord-328957-mzi8504f	422	13	combination	combination	NN
cord-328957-mzi8504f	422	14	of	of	IN
cord-328957-mzi8504f	422	15	(	(	-LRB-
cord-328957-mzi8504f	422	16	L	L	NNP
cord-328957-mzi8504f	422	17	a	a	NNP
cord-328957-mzi8504f	422	18	,	,	,
cord-328957-mzi8504f	422	19	L	L	NNP
cord-328957-mzi8504f	422	20	c	c	NN
cord-328957-mzi8504f	422	21	)	)	-RRB-
cord-328957-mzi8504f	422	22	=	=	NFP
cord-328957-mzi8504f	422	23	{	{	-LRB-
cord-328957-mzi8504f	422	24	(	(	-LRB-
cord-328957-mzi8504f	422	25	0.1i	0.1i	CD
cord-328957-mzi8504f	422	26	,	,	,
cord-328957-mzi8504f	422	27	0.1i	0.1i	LS
cord-328957-mzi8504f	422	28	)	)	-RRB-
cord-328957-mzi8504f	422	29	}	}	-RRB-
cord-328957-mzi8504f	423	1	10	10	CD
cord-328957-mzi8504f	423	2	i=0	i=0	NNS
cord-328957-mzi8504f	423	3	of	of	IN
cord-328957-mzi8504f	423	4	428	428	CD
cord-328957-mzi8504f	423	5	the	the	DT
cord-328957-mzi8504f	423	6	population	population	NN
cord-328957-mzi8504f	423	7	is	be	VBZ
cord-328957-mzi8504f	423	8	assumed	assume	VBN
cord-328957-mzi8504f	423	9	to	to	TO
cord-328957-mzi8504f	423	10	be	be	VB
cord-328957-mzi8504f	423	11	in	in	IN
cord-328957-mzi8504f	423	12	lockdown	lockdown	NN
cord-328957-mzi8504f	423	13	.	.	.
cord-328957-mzi8504f	424	1	Fig	fig	NN
cord-328957-mzi8504f	424	2	8a	8a	NN
cord-328957-mzi8504f	424	3	shows	show	VBZ
cord-328957-mzi8504f	424	4	the	the	DT
cord-328957-mzi8504f	424	5	results	result	NNS
cord-328957-mzi8504f	424	6	of	of	IN
cord-328957-mzi8504f	424	7	this	this	DT
cord-328957-mzi8504f	424	8	calculation	calculation	NN
cord-328957-mzi8504f	424	9	.	.	.
cord-328957-mzi8504f	425	1	429	429	CD
cord-328957-mzi8504f	426	1	Each	each	DT
cord-328957-mzi8504f	426	2	dot	dot	NN
cord-328957-mzi8504f	426	3	represents	represent	VBZ
cord-328957-mzi8504f	426	4	R	r	NN
cord-328957-mzi8504f	426	5	0	0	CD
cord-328957-mzi8504f	426	6	of	of	IN
cord-328957-mzi8504f	426	7	each	each	DT
cord-328957-mzi8504f	426	8	case	case	NN
cord-328957-mzi8504f	426	9	L	L	NNP
cord-328957-mzi8504f	426	10	a	a	NNP
cord-328957-mzi8504f	426	11	,	,	,
cord-328957-mzi8504f	426	12	L	L	NNP
cord-328957-mzi8504f	426	13	c	c	NN
cord-328957-mzi8504f	426	14	.	.	.
cord-328957-mzi8504f	427	1	The	the	DT
cord-328957-mzi8504f	427	2	black	black	JJ
cord-328957-mzi8504f	427	3	grid	grid	NN
cord-328957-mzi8504f	427	4	shows	show	VBZ
cord-328957-mzi8504f	427	5	the	the	DT
cord-328957-mzi8504f	427	6	threshold	threshold	NN
cord-328957-mzi8504f	427	7	R	r	NN
cord-328957-mzi8504f	427	8	0	0	CD
cord-328957-mzi8504f	427	9	=	=	SYM
cord-328957-mzi8504f	427	10	1	1	CD
cord-328957-mzi8504f	427	11	.	.	.
cord-328957-mzi8504f	427	12	430	430	CD
cord-328957-mzi8504f	428	1	The	the	DT
cord-328957-mzi8504f	428	2	behavior	behavior	NN
cord-328957-mzi8504f	428	3	of	of	IN
cord-328957-mzi8504f	428	4	R	r	NN
cord-328957-mzi8504f	428	5	0	0	CD
cord-328957-mzi8504f	428	6	as	as	IN
cord-328957-mzi8504f	428	7	a	a	DT
cord-328957-mzi8504f	428	8	function	function	NN
cord-328957-mzi8504f	428	9	of	of	IN
cord-328957-mzi8504f	428	10	L	L	NNP
cord-328957-mzi8504f	428	11	a	a	NNP
cord-328957-mzi8504f	428	12	,	,	,
cord-328957-mzi8504f	428	13	L	L	NNP
cord-328957-mzi8504f	428	14	c	c	NN
cord-328957-mzi8504f	428	15	has	have	VBZ
cord-328957-mzi8504f	428	16	been	be	VBN
cord-328957-mzi8504f	428	17	retrieved	retrieve	VBN
cord-328957-mzi8504f	428	18	using	use	VBG
cord-328957-mzi8504f	428	19	the	the	DT
cord-328957-mzi8504f	428	20	LMS	LMS	NNP
cord-328957-mzi8504f	428	21	method	method	NN
cord-328957-mzi8504f	428	22	431	431	CD
cord-328957-mzi8504f	428	23	and	and	CC
cord-328957-mzi8504f	428	24	takes	take	VBZ
cord-328957-mzi8504f	428	25	the	the	DT
cord-328957-mzi8504f	428	26	form	form	NN
cord-328957-mzi8504f	428	27	obtained	obtain	VBN
cord-328957-mzi8504f	428	28	with	with	IN
cord-328957-mzi8504f	428	29	a	a	DT
cord-328957-mzi8504f	428	30	coefficient	coefficient	NN
cord-328957-mzi8504f	428	31	of	of	IN
cord-328957-mzi8504f	428	32	determination	determination	NN
cord-328957-mzi8504f	428	33	R	r	NN
cord-328957-mzi8504f	428	34	2	2	CD
cord-328957-mzi8504f	428	35	=	=	SYM
cord-328957-mzi8504f	428	36	0.971	0.971	CD
cord-328957-mzi8504f	428	37	.	.	.
cord-328957-mzi8504f	429	1	Therefore	therefore	RB
cord-328957-mzi8504f	429	2	,	,	,
cord-328957-mzi8504f	429	3	it	-PRON-	PRP
cord-328957-mzi8504f	429	4	is	be	VBZ
cord-328957-mzi8504f	429	5	safe	safe	JJ
cord-328957-mzi8504f	429	6	to	to	IN
cord-328957-mzi8504f	429	7	433	433	CD
cord-328957-mzi8504f	429	8	claim	claim	NN
cord-328957-mzi8504f	429	9	that	that	DT
cord-328957-mzi8504f	429	10	function	function	NN
cord-328957-mzi8504f	429	11	R	r	NN
cord-328957-mzi8504f	429	12	0	0	CD
cord-328957-mzi8504f	429	13	(	(	-LRB-
cord-328957-mzi8504f	429	14	a	a	NN
cord-328957-mzi8504f	429	15	,	,	,
cord-328957-mzi8504f	429	16	c	c	NN
cord-328957-mzi8504f	429	17	)	)	-RRB-
cord-328957-mzi8504f	430	1	is	be	VBZ
cord-328957-mzi8504f	430	2	well	well	RB
cord-328957-mzi8504f	430	3	fitting	fit	VBG
cord-328957-mzi8504f	430	4	the	the	DT
cord-328957-mzi8504f	430	5	data	datum	NNS
cord-328957-mzi8504f	430	6	despite	despite	IN
cord-328957-mzi8504f	430	7	the	the	DT
cord-328957-mzi8504f	430	8	stochastic	stochastic	JJ
cord-328957-mzi8504f	430	9	noise	noise	NN
cord-328957-mzi8504f	430	10	of	of	IN
cord-328957-mzi8504f	430	11	the	the	DT
cord-328957-mzi8504f	430	12	434	434	CD
cord-328957-mzi8504f	430	13	simulation	simulation	NN
cord-328957-mzi8504f	430	14	and	and	CC
cord-328957-mzi8504f	430	15	presents	present	VBZ
cord-328957-mzi8504f	430	16	a	a	DT
cord-328957-mzi8504f	430	17	fair	fair	JJ
cord-328957-mzi8504f	430	18	approximation	approximation	NN
cord-328957-mzi8504f	430	19	for	for	IN
cord-328957-mzi8504f	430	20	the	the	DT
cord-328957-mzi8504f	430	21	R	r	NN
cord-328957-mzi8504f	430	22	0	0	CD
cord-328957-mzi8504f	430	23	behavior	behavior	NN
cord-328957-mzi8504f	430	24	as	as	IN
cord-328957-mzi8504f	430	25	a	a	DT
cord-328957-mzi8504f	430	26	function	function	NN
cord-328957-mzi8504f	430	27	of	of	IN
cord-328957-mzi8504f	430	28	L	L	NNP
cord-328957-mzi8504f	430	29	a	a	NNP
cord-328957-mzi8504f	430	30	,	,	,
cord-328957-mzi8504f	430	31	L	L	NNP
cord-328957-mzi8504f	430	32	c	c	NN
cord-328957-mzi8504f	430	33	.	.	.
cord-328957-mzi8504f	431	1	435	435	CD
cord-328957-mzi8504f	432	1	Using	use	VBG
cord-328957-mzi8504f	432	2	Eq	Eq	NNP
cord-328957-mzi8504f	432	3	(	(	-LRB-
cord-328957-mzi8504f	432	4	19	19	CD
cord-328957-mzi8504f	432	5	)	)	-RRB-
cord-328957-mzi8504f	433	1	it	-PRON-	PRP
cord-328957-mzi8504f	433	2	is	be	VBZ
cord-328957-mzi8504f	433	3	possible	possible	JJ
cord-328957-mzi8504f	433	4	to	to	TO
cord-328957-mzi8504f	433	5	find	find	VB
cord-328957-mzi8504f	433	6	the	the	DT
cord-328957-mzi8504f	433	7	constraints	constraint	NNS
cord-328957-mzi8504f	433	8	of	of	IN
cord-328957-mzi8504f	433	9	L	L	NNP
cord-328957-mzi8504f	433	10	a	a	NNP
cord-328957-mzi8504f	433	11	,	,	,
cord-328957-mzi8504f	433	12	L	L	NNP
cord-328957-mzi8504f	433	13	c	c	NN
cord-328957-mzi8504f	433	14	such	such	JJ
cord-328957-mzi8504f	433	15	that	that	IN
cord-328957-mzi8504f	433	16	R	r	NN
cord-328957-mzi8504f	433	17	0	0	CD
cord-328957-mzi8504f	433	18	≤	≤	NN
cord-328957-mzi8504f	433	19	1	1	CD
cord-328957-mzi8504f	433	20	,	,	,
cord-328957-mzi8504f	433	21	by	by	IN
cord-328957-mzi8504f	433	22	solving	solve	VBG
cord-328957-mzi8504f	433	23	436	436	CD
cord-328957-mzi8504f	433	24	R	r	NN
cord-328957-mzi8504f	433	25	0	0	CD
cord-328957-mzi8504f	434	1	(	(	-LRB-
cord-328957-mzi8504f	434	2	L	L	NNP
cord-328957-mzi8504f	434	3	a	a	NNP
cord-328957-mzi8504f	434	4	,	,	,
cord-328957-mzi8504f	434	5	L	L	NNP
cord-328957-mzi8504f	434	6	c	c	NN
cord-328957-mzi8504f	434	7	)	)	-RRB-
cord-328957-mzi8504f	434	8	≤	≤	NN
cord-328957-mzi8504f	434	9	1	1	CD
cord-328957-mzi8504f	434	10	.	.	.
cord-328957-mzi8504f	435	1	Closing	close	VBG
cord-328957-mzi8504f	435	2	only	only	RB
cord-328957-mzi8504f	435	3	schools	school	NNS
cord-328957-mzi8504f	435	4	without	without	IN
cord-328957-mzi8504f	435	5	any	any	DT
cord-328957-mzi8504f	435	6	reduction	reduction	NN
cord-328957-mzi8504f	435	7	in	in	IN
cord-328957-mzi8504f	435	8	adults	adult	NNS
cord-328957-mzi8504f	435	9	going	go	VBG
cord-328957-mzi8504f	435	10	to	to	TO
cord-328957-mzi8504f	435	11	work	work	VB
cord-328957-mzi8504f	435	12	does	do	VBZ
cord-328957-mzi8504f	435	13	not	not	RB
cord-328957-mzi8504f	435	14	prevent	prevent	VB
cord-328957-mzi8504f	435	15	438	438	CD
cord-328957-mzi8504f	435	16	an	an	DT
cord-328957-mzi8504f	435	17	epidemic	epidemic	NN
cord-328957-mzi8504f	435	18	outbreak	outbreak	NN
cord-328957-mzi8504f	435	19	while	while	IN
cord-328957-mzi8504f	435	20	locking	lock	VBG
cord-328957-mzi8504f	435	21	down	down	RP
cord-328957-mzi8504f	435	22	half	half	NN
cord-328957-mzi8504f	435	23	of	of	IN
cord-328957-mzi8504f	435	24	the	the	DT
cord-328957-mzi8504f	435	25	adult	adult	NN
cord-328957-mzi8504f	435	26	population	population	NN
cord-328957-mzi8504f	435	27	will	will	MD
cord-328957-mzi8504f	435	28	prevent	prevent	VB
cord-328957-mzi8504f	435	29	an	an	DT
cord-328957-mzi8504f	435	30	439	439	CD
cord-328957-mzi8504f	435	31	outbreak	outbreak	NN
cord-328957-mzi8504f	435	32	.	.	.
cord-328957-mzi8504f	436	1	Lockdown	lockdown	NN
cord-328957-mzi8504f	436	2	of	of	IN
cord-328957-mzi8504f	436	3	children	child	NNS
cord-328957-mzi8504f	436	4	(	(	-LRB-
cord-328957-mzi8504f	436	5	L	l	NN
cord-328957-mzi8504f	436	6	c	c	NNP
cord-328957-mzi8504f	436	7	)	)	-RRB-
cord-328957-mzi8504f	436	8	have	have	VB
cord-328957-mzi8504f	436	9	a	a	DT
cord-328957-mzi8504f	436	10	minor	minor	JJ
cord-328957-mzi8504f	436	11	effect	effect	NN
cord-328957-mzi8504f	436	12	relatively	relatively	RB
cord-328957-mzi8504f	436	13	to	to	IN
cord-328957-mzi8504f	436	14	lockdown	lockdown	NN
cord-328957-mzi8504f	436	15	adults	adult	NNS
cord-328957-mzi8504f	436	16	440	440	CD
cord-328957-mzi8504f	437	1	(	(	-LRB-
cord-328957-mzi8504f	437	2	L	L	NNP
cord-328957-mzi8504f	437	3	a	a	NNP
cord-328957-mzi8504f	437	4	)	)	-RRB-
cord-328957-mzi8504f	437	5	as	as	IN
cord-328957-mzi8504f	437	6	shown	show	VBN
cord-328957-mzi8504f	437	7	in	in	IN
cord-328957-mzi8504f	437	8	both	both	DT
cord-328957-mzi8504f	437	9	Eq	Eq	NNP
cord-328957-mzi8504f	437	10	(	(	-LRB-
cord-328957-mzi8504f	437	11	19	19	CD
cord-328957-mzi8504f	437	12	)	)	-RRB-
cord-328957-mzi8504f	437	13	and	and	CC
cord-328957-mzi8504f	437	14	 	 	_SP
cord-328957-mzi8504f	437	15	and	and	CC
cord-328957-mzi8504f	437	16	obtained	obtain	VBD
cord-328957-mzi8504f	437	17	with	with	IN
cord-328957-mzi8504f	437	18	a	a	DT
cord-328957-mzi8504f	437	19	coefficient	coefficient	NN
cord-328957-mzi8504f	437	20	of	of	IN
cord-328957-mzi8504f	437	21	determination	determination	NN
cord-328957-mzi8504f	437	22	R	r	NN
cord-328957-mzi8504f	437	23	2	2	CD
cord-328957-mzi8504f	437	24	=	=	SYM
cord-328957-mzi8504f	437	25	0.840	0.840	CD
cord-328957-mzi8504f	437	26	.	.	.
cord-328957-mzi8504f	438	1	In	in	IN
cord-328957-mzi8504f	438	2	addition	addition	NN
cord-328957-mzi8504f	438	3	,	,	,
cord-328957-mzi8504f	438	4	we	-PRON-	PRP
cord-328957-mzi8504f	438	5	repeat	repeat	VBP
cord-328957-mzi8504f	438	6	the	the	DT
cord-328957-mzi8504f	438	7	analysis	analysis	NN
cord-328957-mzi8504f	438	8	by	by	IN
cord-328957-mzi8504f	438	9	numerically	numerically	RB
cord-328957-mzi8504f	438	10	solving	solve	VBG
cord-328957-mzi8504f	438	11	the	the	DT
cord-328957-mzi8504f	438	12	system	system	NN
cord-328957-mzi8504f	438	13	(	(	-LRB-
cord-328957-mzi8504f	438	14	Eq	Eq	NNP
cord-328957-mzi8504f	438	15	(	(	-LRB-
cord-328957-mzi8504f	438	16	9	9	CD
cord-328957-mzi8504f	438	17	-	-	SYM
cord-328957-mzi8504f	438	18	10	10	CD
cord-328957-mzi8504f	438	19	)	)	-RRB-
cord-328957-mzi8504f	438	20	)	)	-RRB-
cord-328957-mzi8504f	438	21	.	.	.
cord-328957-mzi8504f	439	1	445	445	CD
cord-328957-mzi8504f	440	1	The	the	DT
cord-328957-mzi8504f	440	2	lockdown	lockdown	NN
cord-328957-mzi8504f	440	3	is	be	VBZ
cord-328957-mzi8504f	440	4	reflected	reflect	VBN
cord-328957-mzi8504f	440	5	in	in	IN
cord-328957-mzi8504f	440	6	the	the	DT
cord-328957-mzi8504f	440	7	model	model	NN
cord-328957-mzi8504f	440	8	as	as	IN
cord-328957-mzi8504f	440	9	the	the	DT
cord-328957-mzi8504f	440	10	infection	infection	NN
cord-328957-mzi8504f	440	11	rate	rate	NN
cord-328957-mzi8504f	440	12	between	between	IN
cord-328957-mzi8504f	440	13	every	every	DT
cord-328957-mzi8504f	440	14	two	two	CD
cord-328957-mzi8504f	440	15	individuals	individual	NNS
cord-328957-mzi8504f	440	16	.	.	.
cord-328957-mzi8504f	441	1	446	446	CD
cord-328957-mzi8504f	441	2	L	l	NN
cord-328957-mzi8504f	441	3	a	a	DT
cord-328957-mzi8504f	441	4	affects	affect	VBZ
cord-328957-mzi8504f	441	5	the	the	DT
cord-328957-mzi8504f	441	6	interactions	interaction	NNS
cord-328957-mzi8504f	441	7	between	between	IN
cord-328957-mzi8504f	441	8	adults	adult	NNS
cord-328957-mzi8504f	441	9	and	and	CC
cord-328957-mzi8504f	441	10	either	either	CC
cord-328957-mzi8504f	441	11	other	other	JJ
cord-328957-mzi8504f	441	12	adults	adult	NNS
cord-328957-mzi8504f	441	13	or	or	CC
cord-328957-mzi8504f	442	1	children	child	NNS
cord-328957-mzi8504f	442	2	β	β	NNP
cord-328957-mzi8504f	442	3	aa	aa	NNP
cord-328957-mzi8504f	442	4	,	,	,
cord-328957-mzi8504f	442	5	β	β	NN
cord-328957-mzi8504f	442	6	ac	ac	IN
cord-328957-mzi8504f	442	7	447	447	CD
cord-328957-mzi8504f	442	8	and	and	CC
cord-328957-mzi8504f	442	9	L	L	NNP
cord-328957-mzi8504f	442	10	c	c	NNP
cord-328957-mzi8504f	442	11	affects	affect	VBZ
cord-328957-mzi8504f	442	12	the	the	DT
cord-328957-mzi8504f	442	13	interactions	interaction	NNS
cord-328957-mzi8504f	442	14	between	between	IN
cord-328957-mzi8504f	442	15	children	child	NNS
cord-328957-mzi8504f	442	16	and	and	CC
cord-328957-mzi8504f	442	17	either	either	CC
cord-328957-mzi8504f	442	18	other	other	JJ
cord-328957-mzi8504f	442	19	children	child	NNS
cord-328957-mzi8504f	442	20	or	or	CC
cord-328957-mzi8504f	442	21	adults	adult	NNS
cord-328957-mzi8504f	442	22	448	448	CD
cord-328957-mzi8504f	442	23	β	β	NN
cord-328957-mzi8504f	442	24	cc	cc	NNP
cord-328957-mzi8504f	442	25	,	,	,
cord-328957-mzi8504f	442	26	β	β	XX
cord-328957-mzi8504f	442	27	ca	ca	NN
cord-328957-mzi8504f	442	28	.	.	.
cord-328957-mzi8504f	443	1	Mark	Mark	NNP
cord-328957-mzi8504f	443	2	the	the	DT
cord-328957-mzi8504f	443	3	original	original	JJ
cord-328957-mzi8504f	443	4	values	value	NNS
cord-328957-mzi8504f	443	5	of	of	IN
cord-328957-mzi8504f	443	6	β	β	NNP
cord-328957-mzi8504f	443	7	aa	aa	NNP
cord-328957-mzi8504f	443	8	,	,	,
cord-328957-mzi8504f	443	9	β	β	NNP
cord-328957-mzi8504f	443	10	ac	ac	NNP
cord-328957-mzi8504f	443	11	,	,	,
cord-328957-mzi8504f	443	12	β	β	NNP
cord-328957-mzi8504f	443	13	ca	ca	NNP
cord-328957-mzi8504f	443	14	,	,	,
cord-328957-mzi8504f	443	15	β	β	NN
cord-328957-mzi8504f	443	16	cc	cc	NNP
cord-328957-mzi8504f	443	17	from	from	IN
cord-328957-mzi8504f	443	18	Table	Table	NNP
cord-328957-mzi8504f	443	19	1	1	CD
cord-328957-mzi8504f	443	20	as	as	IN
cord-328957-mzi8504f	443	21	β	β	NNP
cord-328957-mzi8504f	443	22	*	*	NFP
cord-328957-mzi8504f	443	23	aa	aa	NNP
cord-328957-mzi8504f	443	24	,	,	,
cord-328957-mzi8504f	443	25	β	β	NNP
cord-328957-mzi8504f	443	26	*	*	NFP
cord-328957-mzi8504f	443	27	ac	ac	NN
cord-328957-mzi8504f	443	28	,	,	,
cord-328957-mzi8504f	444	1	β	β	NNP
cord-328957-mzi8504f	444	2	*	*	NFP
cord-328957-mzi8504f	444	3	ca	ca	NN
cord-328957-mzi8504f	445	1	,	,	,
cord-328957-mzi8504f	445	2	β	β	NNP
cord-328957-mzi8504f	445	3	*	*	NFP
cord-328957-mzi8504f	445	4	cc	cc	NN
cord-328957-mzi8504f	445	5	.	.	.
cord-328957-mzi8504f	445	6	449	449	CD
cord-328957-mzi8504f	445	7	Each	each	DT
cord-328957-mzi8504f	445	8	time	time	NN
cord-328957-mzi8504f	445	9	,	,	,
cord-328957-mzi8504f	445	10	the	the	DT
cord-328957-mzi8504f	445	11	system	system	NN
cord-328957-mzi8504f	445	12	solved	solve	VBD
cord-328957-mzi8504f	445	13	where	where	WRB
cord-328957-mzi8504f	445	14	(	(	-LRB-
cord-328957-mzi8504f	445	15	L	L	NNP
cord-328957-mzi8504f	445	16	a	a	NNP
cord-328957-mzi8504f	445	17	,	,	,
cord-328957-mzi8504f	445	18	L	L	NNP
cord-328957-mzi8504f	445	19	c	c	NN
cord-328957-mzi8504f	445	20	)	)	-RRB-
cord-328957-mzi8504f	445	21	=	=	NFP
cord-328957-mzi8504f	445	22	{	{	-LRB-
cord-328957-mzi8504f	445	23	(	(	-LRB-
cord-328957-mzi8504f	445	24	0.1i	0.1i	CD
cord-328957-mzi8504f	445	25	,	,	,
cord-328957-mzi8504f	445	26	0.1i	0.1i	LS
cord-328957-mzi8504f	445	27	)	)	-RRB-
cord-328957-mzi8504f	445	28	}	}	-RRB-
cord-328957-mzi8504f	445	29	10	10	CD
cord-328957-mzi8504f	445	30	i=0	i=0	NNS
cord-328957-mzi8504f	445	31	such	such	JJ
cord-328957-mzi8504f	445	32	that	that	IN
cord-328957-mzi8504f	445	33	β	β	NN
cord-328957-mzi8504f	445	34	aa	aa	NN
cord-328957-mzi8504f	445	35	=	=	NN
cord-328957-mzi8504f	446	1	β	β	NNP
cord-328957-mzi8504f	446	2	*	*	NFP
cord-328957-mzi8504f	446	3	aa	aa	NNP
cord-328957-mzi8504f	446	4	·	·	NFP
cord-328957-mzi8504f	446	5	L	L	NNP
cord-328957-mzi8504f	446	6	a	a	DT
cord-328957-mzi8504f	447	1	,	,	,
cord-328957-mzi8504f	447	2	450	450	CD
cord-328957-mzi8504f	447	3	β	β	NN
cord-328957-mzi8504f	447	4	ac	ac	NN
cord-328957-mzi8504f	447	5	=	=	NN
cord-328957-mzi8504f	447	6	β	β	NN
cord-328957-mzi8504f	447	7	*	*	NFP
cord-328957-mzi8504f	447	8	ac	ac	NN
cord-328957-mzi8504f	447	9	·	·	NFP
cord-328957-mzi8504f	447	10	L	L	NNP
cord-328957-mzi8504f	447	11	a	a	NNP
cord-328957-mzi8504f	447	12	,	,	,
cord-328957-mzi8504f	447	13	β	β	NN
cord-328957-mzi8504f	447	14	ca	ca	NN
cord-328957-mzi8504f	447	15	=	=	.
cord-328957-mzi8504f	448	1	β	β	NN
cord-328957-mzi8504f	449	1	*	*	NFP
cord-328957-mzi8504f	449	2	ca	ca	MD
cord-328957-mzi8504f	449	3	·	·	NFP
cord-328957-mzi8504f	449	4	L	L	NNP
cord-328957-mzi8504f	449	5	c	c	NNP
cord-328957-mzi8504f	449	6	,	,	,
cord-328957-mzi8504f	449	7	and	and	CC
cord-328957-mzi8504f	449	8	β	β	NN
cord-328957-mzi8504f	449	9	cc	cc	NN
cord-328957-mzi8504f	449	10	=	=	SYM
cord-328957-mzi8504f	449	11	β	β	NN
cord-328957-mzi8504f	449	12	*	*	NFP
cord-328957-mzi8504f	449	13	cc	cc	NN
cord-328957-mzi8504f	449	14	·	·	NFP
cord-328957-mzi8504f	449	15	L	l	NN
cord-328957-mzi8504f	449	16	c	c	NN
cord-328957-mzi8504f	449	17	.	.	.
cord-328957-mzi8504f	450	1	The	the	DT
cord-328957-mzi8504f	450	2	behavior	behavior	NN
cord-328957-mzi8504f	450	3	of	of	IN
cord-328957-mzi8504f	450	4	R	r	NN
cord-328957-mzi8504f	450	5	0	0	CD
cord-328957-mzi8504f	450	6	as	as	IN
cord-328957-mzi8504f	450	7	a	a	DT
cord-328957-mzi8504f	450	8	function	function	NN
cord-328957-mzi8504f	450	9	of	of	IN
cord-328957-mzi8504f	450	10	L	L	NNP
cord-328957-mzi8504f	450	11	a	a	NNP
cord-328957-mzi8504f	450	12	,	,	,
cord-328957-mzi8504f	450	13	L	L	NNP
cord-328957-mzi8504f	450	14	c	c	NN
cord-328957-mzi8504f	450	15	has	have	VBZ
cord-328957-mzi8504f	450	16	been	be	VBN
cord-328957-mzi8504f	450	17	derived	derive	VBN
cord-328957-mzi8504f	450	18	using	use	VBG
cord-328957-mzi8504f	450	19	the	the	DT
cord-328957-mzi8504f	450	20	LMS	LMS	NNP
cord-328957-mzi8504f	450	21	method	method	NN
cord-328957-mzi8504f	450	22	461	461	CD
cord-328957-mzi8504f	450	23	and	and	CC
cord-328957-mzi8504f	450	24	takes	take	VBZ
cord-328957-mzi8504f	450	25	the	the	DT
cord-328957-mzi8504f	450	26	form	form	NN
cord-328957-mzi8504f	450	27	November	November	NNP
cord-328957-mzi8504f	450	28	2	2	CD
cord-328957-mzi8504f	450	29	,	,	,
cord-328957-mzi8504f	450	30	2020	2020	CD
cord-328957-mzi8504f	450	31	20/28	20/28	CD
cord-328957-mzi8504f	450	32	.	.	.
cord-328957-mzi8504f	451	1	CC	CC	NNP
cord-328957-mzi8504f	451	2	-	-	HYPH
cord-328957-mzi8504f	451	3	BY	BY	NNP
cord-328957-mzi8504f	451	4	-	-	HYPH
cord-328957-mzi8504f	451	5	NC	NC	NNP
cord-328957-mzi8504f	451	6	-	-	HYPH
cord-328957-mzi8504f	451	7	ND	ND	NNP
cord-328957-mzi8504f	451	8	4.0	4.0	CD
cord-328957-mzi8504f	451	9	International	international	JJ
cord-328957-mzi8504f	451	10	license	license	NN
cord-328957-mzi8504f	452	1	It	-PRON-	PRP
cord-328957-mzi8504f	452	2	is	be	VBZ
cord-328957-mzi8504f	452	3	made	make	VBN
cord-328957-mzi8504f	452	4	available	available	JJ
cord-328957-mzi8504f	452	5	under	under	IN
cord-328957-mzi8504f	452	6	a	a	DT
cord-328957-mzi8504f	453	1	is	be	VBZ
cord-328957-mzi8504f	453	2	the	the	DT
cord-328957-mzi8504f	453	3	author	author	NN
cord-328957-mzi8504f	453	4	/	/	SYM
cord-328957-mzi8504f	453	5	funder	funder	NN
cord-328957-mzi8504f	453	6	,	,	,
cord-328957-mzi8504f	453	7	who	who	WP
cord-328957-mzi8504f	453	8	has	have	VBZ
cord-328957-mzi8504f	453	9	granted	grant	VBN
cord-328957-mzi8504f	453	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	453	11	a	a	DT
cord-328957-mzi8504f	453	12	license	license	NN
cord-328957-mzi8504f	453	13	to	to	TO
cord-328957-mzi8504f	453	14	display	display	VB
cord-328957-mzi8504f	453	15	the	the	DT
cord-328957-mzi8504f	453	16	preprint	preprint	NN
cord-328957-mzi8504f	453	17	in	in	IN
cord-328957-mzi8504f	453	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	453	19	.	.	.
cord-328957-mzi8504f	454	1	The	the	DT
cord-328957-mzi8504f	454	2	copyright	copyright	NN
cord-328957-mzi8504f	454	3	holder	holder	NN
cord-328957-mzi8504f	454	4	for	for	IN
cord-328957-mzi8504f	454	5	this	this	DT
cord-328957-mzi8504f	454	6	preprint	preprint	NN
cord-328957-mzi8504f	454	7	this	this	DT
cord-328957-mzi8504f	454	8	version	version	NN
cord-328957-mzi8504f	454	9	posted	post	VBN
cord-328957-mzi8504f	454	10	November	November	NNP
cord-328957-mzi8504f	454	11	4	4	CD
cord-328957-mzi8504f	454	12	,	,	,
cord-328957-mzi8504f	454	13	2020	2020	CD
cord-328957-mzi8504f	454	14	.	.	.
cord-328957-mzi8504f	455	1	;	;	:
cord-328957-mzi8504f	455	2	https://doi.org/10.1101/2020.11.02.20224584	https://doi.org/10.1101/2020.11.02.20224584	NNP
cord-328957-mzi8504f	455	3	doi	doi	NN
cord-328957-mzi8504f	455	4	:	:	:
cord-328957-mzi8504f	456	1	medRxiv	medRxiv	NNP
cord-328957-mzi8504f	456	2	preprint	preprint	NN
cord-328957-mzi8504f	456	3	(	(	-LRB-
cord-328957-mzi8504f	456	4	a	a	DT
cord-328957-mzi8504f	456	5	)	)	-RRB-
cord-328957-mzi8504f	456	6	Average	average	JJ
cord-328957-mzi8504f	456	7	R0	R0	NNP
cord-328957-mzi8504f	456	8	.	.	.
cord-328957-mzi8504f	456	9	.	.	.
cord-328957-mzi8504f	457	1	CC	CC	NNP
cord-328957-mzi8504f	457	2	-	-	HYPH
cord-328957-mzi8504f	457	3	BY	BY	NNP
cord-328957-mzi8504f	457	4	-	-	HYPH
cord-328957-mzi8504f	457	5	NC	NC	NNP
cord-328957-mzi8504f	457	6	-	-	HYPH
cord-328957-mzi8504f	457	7	ND	ND	NNP
cord-328957-mzi8504f	457	8	4.0	4.0	CD
cord-328957-mzi8504f	457	9	International	international	JJ
cord-328957-mzi8504f	457	10	license	license	NN
cord-328957-mzi8504f	458	1	It	-PRON-	PRP
cord-328957-mzi8504f	458	2	is	be	VBZ
cord-328957-mzi8504f	458	3	made	make	VBN
cord-328957-mzi8504f	458	4	available	available	JJ
cord-328957-mzi8504f	458	5	under	under	IN
cord-328957-mzi8504f	458	6	a	a	DT
cord-328957-mzi8504f	459	1	is	be	VBZ
cord-328957-mzi8504f	459	2	the	the	DT
cord-328957-mzi8504f	459	3	author	author	NN
cord-328957-mzi8504f	459	4	/	/	SYM
cord-328957-mzi8504f	459	5	funder	funder	NN
cord-328957-mzi8504f	459	6	,	,	,
cord-328957-mzi8504f	459	7	who	who	WP
cord-328957-mzi8504f	459	8	has	have	VBZ
cord-328957-mzi8504f	459	9	granted	grant	VBN
cord-328957-mzi8504f	459	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	459	11	a	a	DT
cord-328957-mzi8504f	459	12	license	license	NN
cord-328957-mzi8504f	459	13	to	to	TO
cord-328957-mzi8504f	459	14	display	display	VB
cord-328957-mzi8504f	459	15	the	the	DT
cord-328957-mzi8504f	459	16	preprint	preprint	NN
cord-328957-mzi8504f	459	17	in	in	IN
cord-328957-mzi8504f	459	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	459	19	.	.	.
cord-328957-mzi8504f	460	1	The	the	DT
cord-328957-mzi8504f	460	2	copyright	copyright	NN
cord-328957-mzi8504f	460	3	holder	holder	NN
cord-328957-mzi8504f	460	4	for	for	IN
cord-328957-mzi8504f	460	5	this	this	DT
cord-328957-mzi8504f	460	6	preprint	preprint	NN
cord-328957-mzi8504f	460	7	this	this	DT
cord-328957-mzi8504f	460	8	version	version	NN
cord-328957-mzi8504f	460	9	posted	post	VBN
cord-328957-mzi8504f	460	10	November	November	NNP
cord-328957-mzi8504f	460	11	4	4	CD
cord-328957-mzi8504f	460	12	,	,	,
cord-328957-mzi8504f	460	13	2020	2020	CD
cord-328957-mzi8504f	460	14	.	.	.
cord-328957-mzi8504f	461	1	;	;	:
cord-328957-mzi8504f	461	2	From	from	IN
cord-328957-mzi8504f	461	3	[	[	-LRB-
cord-328957-mzi8504f	461	4	4	4	CD
cord-328957-mzi8504f	461	5	]	]	-RRB-
cord-328957-mzi8504f	461	6	there	there	EX
cord-328957-mzi8504f	461	7	was	be	VBD
cord-328957-mzi8504f	461	8	90232	90232	CD
cord-328957-mzi8504f	461	9	infected	infect	VBN
cord-328957-mzi8504f	461	10	at	at	IN
cord-328957-mzi8504f	461	11	August	August	NNP
cord-328957-mzi8504f	461	12	15	15	CD
cord-328957-mzi8504f	461	13	.	.	.
cord-328957-mzi8504f	462	1	Given	give	VBN
cord-328957-mzi8504f	462	2	that	that	IN
cord-328957-mzi8504f	462	3	the	the	DT
cord-328957-mzi8504f	462	4	average	average	JJ
cord-328957-mzi8504f	462	5	recover	recover	VBP
cord-328957-mzi8504f	462	6	rate	rate	NN
cord-328957-mzi8504f	462	7	482	482	CD
cord-328957-mzi8504f	462	8	of	of	IN
cord-328957-mzi8504f	462	9	children	child	NNS
cord-328957-mzi8504f	462	10	is	be	VBZ
cord-328957-mzi8504f	462	11	2	2	CD
cord-328957-mzi8504f	462	12	days	day	NNS
cord-328957-mzi8504f	462	13	and	and	CC
cord-328957-mzi8504f	462	14	adults	adult	NNS
cord-328957-mzi8504f	462	15	is	be	VBZ
cord-328957-mzi8504f	462	16	14	14	CD
cord-328957-mzi8504f	462	17	days	day	NNS
cord-328957-mzi8504f	462	18	(	(	-LRB-
cord-328957-mzi8504f	462	19	see	see	VB
cord-328957-mzi8504f	462	20	Table	table	NN
cord-328957-mzi8504f	462	21	1	1	CD
cord-328957-mzi8504f	462	22	)	)	-RRB-
cord-328957-mzi8504f	462	23	and	and	CC
cord-328957-mzi8504f	462	24	that	that	IN
cord-328957-mzi8504f	462	25	children	child	NNS
cord-328957-mzi8504f	462	26	is	be	VBZ
cord-328957-mzi8504f	462	27	28	28	CD
cord-328957-mzi8504f	462	28	%	%	NN
cord-328957-mzi8504f	462	29	of	of	IN
cord-328957-mzi8504f	462	30	483	483	CD
cord-328957-mzi8504f	462	31	the	the	DT
cord-328957-mzi8504f	462	32	population	population	NN
cord-328957-mzi8504f	462	33	,	,	,
cord-328957-mzi8504f	462	34	we	-PRON-	PRP
cord-328957-mzi8504f	462	35	obtain	obtain	VBP
cord-328957-mzi8504f	462	36	that	that	IN
cord-328957-mzi8504f	462	37	there	there	EX
cord-328957-mzi8504f	462	38	was	be	VBD
cord-328957-mzi8504f	462	39	approximately	approximately	RB
cord-328957-mzi8504f	462	40	18899	18899	CD
cord-328957-mzi8504f	462	41	infected	infected	JJ
cord-328957-mzi8504f	462	42	adults	adult	NNS
cord-328957-mzi8504f	462	43	and	and	CC
cord-328957-mzi8504f	462	44	868	868	CD
cord-328957-mzi8504f	462	45	484	484	CD
cord-328957-mzi8504f	462	46	infected	infect	VBN
cord-328957-mzi8504f	462	47	children	child	NNS
cord-328957-mzi8504f	462	48	.	.	.
cord-328957-mzi8504f	463	1	We	-PRON-	PRP
cord-328957-mzi8504f	463	2	assume	assume	VBP
cord-328957-mzi8504f	463	3	that	that	IN
cord-328957-mzi8504f	463	4	the	the	DT
cord-328957-mzi8504f	463	5	amount	amount	NN
cord-328957-mzi8504f	463	6	of	of	IN
cord-328957-mzi8504f	463	7	recovered	recover	VBN
cord-328957-mzi8504f	463	8	individuals	individual	NNS
cord-328957-mzi8504f	463	9	is	be	VBZ
cord-328957-mzi8504f	463	10	heterogeneous	heterogeneous	JJ
cord-328957-mzi8504f	463	11	485	485	CD
cord-328957-mzi8504f	463	12	in	in	IN
cord-328957-mzi8504f	463	13	the	the	DT
cord-328957-mzi8504f	463	14	population	population	NN
cord-328957-mzi8504f	463	15	and	and	CC
cord-328957-mzi8504f	463	16	that	that	IN
cord-328957-mzi8504f	463	17	only	only	JJ
cord-328957-mzi8504f	463	18	adults	adult	NNS
cord-328957-mzi8504f	463	19	die	die	VBP
cord-328957-mzi8504f	463	20	from	from	IN
cord-328957-mzi8504f	463	21	the	the	DT
cord-328957-mzi8504f	463	22	epidemic	epidemic	NN
cord-328957-mzi8504f	463	23	until	until	IN
cord-328957-mzi8504f	463	24	this	this	DT
cord-328957-mzi8504f	463	25	point	point	NN
cord-328957-mzi8504f	463	26	.	.	.
cord-328957-mzi8504f	464	1	Eq	Eq	NNP
cord-328957-mzi8504f	464	2	(	(	-LRB-
cord-328957-mzi8504f	464	3	23	23	CD
cord-328957-mzi8504f	464	4	)	)	-RRB-
cord-328957-mzi8504f	464	5	486	486	CD
cord-328957-mzi8504f	464	6	shows	show	VBZ
cord-328957-mzi8504f	464	7	the	the	DT
cord-328957-mzi8504f	464	8	initial	initial	JJ
cord-328957-mzi8504f	464	9	conditions	condition	NNS
cord-328957-mzi8504f	464	10	for	for	IN
cord-328957-mzi8504f	464	11	August	August	NNP
cord-328957-mzi8504f	464	12	15	15	CD
cord-328957-mzi8504f	464	13	(	(	-LRB-
cord-328957-mzi8504f	464	14	t	t	NN
cord-328957-mzi8504f	464	15	0	0	CD
cord-328957-mzi8504f	464	16	)	)	-RRB-
cord-328957-mzi8504f	464	17	,	,	,
cord-328957-mzi8504f	464	18	Israel	Israel	NNP
cord-328957-mzi8504f	464	19	.	.	.
cord-328957-mzi8504f	465	1	Considering	consider	VBG
cord-328957-mzi8504f	465	2	that	that	IN
cord-328957-mzi8504f	465	3	,	,	,
cord-328957-mzi8504f	465	4	longer	long	JJR
cord-328957-mzi8504f	465	5	school	school	NN
cord-328957-mzi8504f	465	6	day	day	NN
cord-328957-mzi8504f	465	7	is	be	VBZ
cord-328957-mzi8504f	465	8	reducing	reduce	VBG
cord-328957-mzi8504f	465	9	the	the	DT
cord-328957-mzi8504f	465	10	infection	infection	NN
cord-328957-mzi8504f	465	11	rate	rate	NN
cord-328957-mzi8504f	465	12	(	(	-LRB-
cord-328957-mzi8504f	465	13	Fig	Fig	NNP
cord-328957-mzi8504f	465	14	7a	7a	NN
cord-328957-mzi8504f	465	15	)	)	-RRB-
cord-328957-mzi8504f	465	16	,	,	,
cord-328957-mzi8504f	465	17	we	-PRON-	PRP
cord-328957-mzi8504f	465	18	solve	solve	VBP
cord-328957-mzi8504f	465	19	497	497	CD
cord-328957-mzi8504f	465	20	numerically	numerically	RB
cord-328957-mzi8504f	465	21	the	the	DT
cord-328957-mzi8504f	465	22	hybrid	hybrid	JJ
cord-328957-mzi8504f	465	23	model	model	NN
cord-328957-mzi8504f	465	24	and	and	CC
cord-328957-mzi8504f	465	25	calculate	calculate	VB
cord-328957-mzi8504f	465	26	R	r	NN
cord-328957-mzi8504f	465	27	0	0	CD
cord-328957-mzi8504f	465	28	for	for	IN
cord-328957-mzi8504f	465	29	the	the	DT
cord-328957-mzi8504f	465	30	case	case	NN
cord-328957-mzi8504f	465	31	when	when	WRB
cord-328957-mzi8504f	465	32	the	the	DT
cord-328957-mzi8504f	465	33	schools	school	NNS
cord-328957-mzi8504f	465	34	are	be	VBP
cord-328957-mzi8504f	465	35	open	open	JJ
cord-328957-mzi8504f	465	36	498	498	CD
cord-328957-mzi8504f	465	37	(	(	-LRB-
cord-328957-mzi8504f	465	38	from	from	IN
cord-328957-mzi8504f	465	39	September	September	NNP
cord-328957-mzi8504f	465	40	1	1	CD
cord-328957-mzi8504f	465	41	)	)	-RRB-
cord-328957-mzi8504f	465	42	.	.	.
cord-328957-mzi8504f	466	1	We	-PRON-	PRP
cord-328957-mzi8504f	466	2	assume	assume	VBP
cord-328957-mzi8504f	466	3	that	that	IN
cord-328957-mzi8504f	466	4	children	child	NNS
cord-328957-mzi8504f	466	5	go	go	VBP
cord-328957-mzi8504f	466	6	to	to	IN
cord-328957-mzi8504f	466	7	school	school	NN
cord-328957-mzi8504f	466	8	every	every	DT
cord-328957-mzi8504f	466	9	day	day	NN
cord-328957-mzi8504f	466	10	(	(	-LRB-
cord-328957-mzi8504f	466	11	except	except	IN
cord-328957-mzi8504f	466	12	weekends	weekend	NNS
cord-328957-mzi8504f	466	13	)	)	-RRB-
cord-328957-mzi8504f	466	14	499	499	CD
cord-328957-mzi8504f	466	15	for	for	IN
cord-328957-mzi8504f	466	16	nine	nine	CD
cord-328957-mzi8504f	466	17	hours	hour	NNS
cord-328957-mzi8504f	466	18	while	while	IN
cord-328957-mzi8504f	466	19	the	the	DT
cord-328957-mzi8504f	466	20	adults	adult	NNS
cord-328957-mzi8504f	466	21	go	go	VBP
cord-328957-mzi8504f	466	22	to	to	TO
cord-328957-mzi8504f	466	23	work	work	VB
cord-328957-mzi8504f	466	24	for	for	IN
cord-328957-mzi8504f	466	25	the	the	DT
cord-328957-mzi8504f	466	26	same	same	JJ
cord-328957-mzi8504f	466	27	period	period	NN
cord-328957-mzi8504f	466	28	.	.	.
cord-328957-mzi8504f	467	1	We	-PRON-	PRP
cord-328957-mzi8504f	467	2	obtain	obtain	VBP
cord-328957-mzi8504f	467	3	that	that	IN
cord-328957-mzi8504f	467	4	the	the	DT
cord-328957-mzi8504f	467	5	500	500	CD
cord-328957-mzi8504f	467	6	difference	difference	NN
cord-328957-mzi8504f	467	7	average	average	JJ
cord-328957-mzi8504f	467	8	R	r	NN
cord-328957-mzi8504f	467	9	0	0	CD
cord-328957-mzi8504f	467	10	of	of	IN
cord-328957-mzi8504f	467	11	the	the	DT
cord-328957-mzi8504f	467	12	case	case	NN
cord-328957-mzi8504f	467	13	with	with	IN
cord-328957-mzi8504f	467	14	the	the	DT
cord-328957-mzi8504f	467	15	optimal	optimal	JJ
cord-328957-mzi8504f	467	16	NPI	npi	NN
cord-328957-mzi8504f	467	17	(	(	-LRB-
cord-328957-mzi8504f	467	18	R	r	NN
cord-328957-mzi8504f	467	19	0	0	CD
cord-328957-mzi8504f	467	20	=	=	SYM
cord-328957-mzi8504f	467	21	1.45	1.45	CD
cord-328957-mzi8504f	467	22	)	)	-RRB-
cord-328957-mzi8504f	467	23	and	and	CC
cord-328957-mzi8504f	467	24	the	the	DT
cord-328957-mzi8504f	467	25	historical	historical	JJ
cord-328957-mzi8504f	467	26	501	501	CD
cord-328957-mzi8504f	467	27	NPI	NPI	NNP
cord-328957-mzi8504f	467	28	(	(	-LRB-
cord-328957-mzi8504f	467	29	R	r	NN
cord-328957-mzi8504f	467	30	0	0	CD
cord-328957-mzi8504f	467	31	=	=	SYM
cord-328957-mzi8504f	467	32	2.28	2.28	CD
cord-328957-mzi8504f	467	33	)	)	-RRB-
cord-328957-mzi8504f	467	34	is	be	VBZ
cord-328957-mzi8504f	467	35	∆R	∆R	VBZ
cord-328957-mzi8504f	467	36	0	0	CD
cord-328957-mzi8504f	467	37	=	=	SYM
cord-328957-mzi8504f	467	38	0.83	0.83	CD
cord-328957-mzi8504f	467	39	(	(	-LRB-
cord-328957-mzi8504f	467	40	see	see	VB
cord-328957-mzi8504f	467	41	Fig	Fig	NNP
cord-328957-mzi8504f	467	42	11	11	CD
cord-328957-mzi8504f	467	43	)	)	-RRB-
cord-328957-mzi8504f	467	44	.	.	.
cord-328957-mzi8504f	468	1	This	this	DT
cord-328957-mzi8504f	468	2	study	study	NN
cord-328957-mzi8504f	468	3	presents	present	VBZ
cord-328957-mzi8504f	468	4	a	a	DT
cord-328957-mzi8504f	468	5	model	model	NN
cord-328957-mzi8504f	468	6	showing	show	VBG
cord-328957-mzi8504f	468	7	the	the	DT
cord-328957-mzi8504f	468	8	effects	effect	NNS
cord-328957-mzi8504f	468	9	of	of	IN
cord-328957-mzi8504f	468	10	population	population	NN
cord-328957-mzi8504f	468	11	age	age	NN
cord-328957-mzi8504f	468	12	,	,	,
cord-328957-mzi8504f	468	13	time	time	NN
cord-328957-mzi8504f	468	14	of	of	IN
cord-328957-mzi8504f	468	15	day	day	NN
cord-328957-mzi8504f	468	16	,	,	,
cord-328957-mzi8504f	468	17	and	and	CC
cord-328957-mzi8504f	468	18	504	504	CD
cord-328957-mzi8504f	468	19	gathering	gather	VBG
cord-328957-mzi8504f	468	20	location	location	NN
cord-328957-mzi8504f	468	21	on	on	IN
cord-328957-mzi8504f	468	22	the	the	DT
cord-328957-mzi8504f	468	23	spread	spread	NN
cord-328957-mzi8504f	468	24	of	of	IN
cord-328957-mzi8504f	468	25	the	the	DT
cord-328957-mzi8504f	468	26	epidemic	epidemic	NN
cord-328957-mzi8504f	468	27	.	.	.
cord-328957-mzi8504f	469	1	Based	base	VBN
cord-328957-mzi8504f	469	2	on	on	IN
cord-328957-mzi8504f	469	3	the	the	DT
cord-328957-mzi8504f	469	4	proposed	propose	VBN
cord-328957-mzi8504f	469	5	model	model	NN
cord-328957-mzi8504f	469	6	Eqs	Eqs	NNP
cord-328957-mzi8504f	469	7	(	(	-LRB-
cord-328957-mzi8504f	469	8	9	9	CD
cord-328957-mzi8504f	469	9	-	-	SYM
cord-328957-mzi8504f	469	10	505	505	CD
cord-328957-mzi8504f	469	11	10	10	CD
cord-328957-mzi8504f	469	12	)	)	-RRB-
cord-328957-mzi8504f	469	13	,	,	,
cord-328957-mzi8504f	469	14	the	the	DT
cord-328957-mzi8504f	469	15	non	non	JJ
cord-328957-mzi8504f	469	16	-	-	JJ
cord-328957-mzi8504f	469	17	trivial	trivial	JJ
cord-328957-mzi8504f	469	18	equilibria	equilibrium	NNS
cord-328957-mzi8504f	469	19	of	of	IN
cord-328957-mzi8504f	469	20	the	the	DT
cord-328957-mzi8504f	469	21	system	system	NN
cord-328957-mzi8504f	469	22	is	be	VBZ
cord-328957-mzi8504f	469	23	presented	present	VBN
cord-328957-mzi8504f	469	24	in	in	IN
cord-328957-mzi8504f	469	25	Table	Table	NNP
cord-328957-mzi8504f	469	26	3	3	CD
cord-328957-mzi8504f	469	27	.	.	.
cord-328957-mzi8504f	470	1	Based	base	VBN
cord-328957-mzi8504f	470	2	on	on	IN
cord-328957-mzi8504f	470	3	Lemma	Lemma	NNP
cord-328957-mzi8504f	470	4	1	1	CD
cord-328957-mzi8504f	470	5	,	,	,
cord-328957-mzi8504f	470	6	506	506	CD
cord-328957-mzi8504f	470	7	the	the	DT
cord-328957-mzi8504f	470	8	equilibria	equilibrium	NNS
cord-328957-mzi8504f	470	9	do	do	VBP
cord-328957-mzi8504f	470	10	not	not	RB
cord-328957-mzi8504f	470	11	take	take	VB
cord-328957-mzi8504f	470	12	the	the	DT
cord-328957-mzi8504f	470	13	form	form	NN
cord-328957-mzi8504f	470	14	of	of	IN
cord-328957-mzi8504f	470	15	the	the	DT
cord-328957-mzi8504f	470	16	asymptotic	asymptotic	JJ
cord-328957-mzi8504f	470	17	case	case	NN
cord-328957-mzi8504f	470	18	(	(	-LRB-
cord-328957-mzi8504f	470	19	Eq	Eq	NNP
cord-328957-mzi8504f	470	20	(	(	-LRB-
cord-328957-mzi8504f	470	21	11	11	CD
cord-328957-mzi8504f	470	22	)	)	-RRB-
cord-328957-mzi8504f	470	23	)	)	-RRB-
cord-328957-mzi8504f	470	24	of	of	IN
cord-328957-mzi8504f	470	25	the	the	DT
cord-328957-mzi8504f	470	26	model	model	NN
cord-328957-mzi8504f	470	27	and	and	CC
cord-328957-mzi8504f	470	28	507	507	CD
cord-328957-mzi8504f	470	29	therefore	therefore	RB
cord-328957-mzi8504f	470	30	are	be	VBP
cord-328957-mzi8504f	470	31	not	not	RB
cord-328957-mzi8504f	470	32	stable	stable	JJ
cord-328957-mzi8504f	470	33	.	.	.
cord-328957-mzi8504f	471	1	Although	although	IN
cord-328957-mzi8504f	471	2	the	the	DT
cord-328957-mzi8504f	471	3	proposed	propose	VBN
cord-328957-mzi8504f	471	4	model	model	NN
cord-328957-mzi8504f	471	5	is	be	VBZ
cord-328957-mzi8504f	471	6	a	a	DT
cord-328957-mzi8504f	471	7	simplification	simplification	NN
cord-328957-mzi8504f	471	8	of	of	IN
cord-328957-mzi8504f	471	9	the	the	DT
cord-328957-mzi8504f	471	10	total	total	JJ
cord-328957-mzi8504f	471	11	508	508	CD
cord-328957-mzi8504f	471	12	complexity	complexity	NN
cord-328957-mzi8504f	471	13	of	of	IN
cord-328957-mzi8504f	471	14	the	the	DT
cord-328957-mzi8504f	471	15	COVID-19	covid-19	JJ
cord-328957-mzi8504f	471	16	epidemic	epidemic	NN
cord-328957-mzi8504f	471	17	,	,	,
cord-328957-mzi8504f	471	18	the	the	DT
cord-328957-mzi8504f	471	19	asymptotic	asymptotic	JJ
cord-328957-mzi8504f	471	20	solution	solution	NN
cord-328957-mzi8504f	471	21	without	without	IN
cord-328957-mzi8504f	471	22	any	any	DT
cord-328957-mzi8504f	471	23	intervention	intervention	NN
cord-328957-mzi8504f	471	24	509	509	CD
cord-328957-mzi8504f	471	25	will	will	MD
cord-328957-mzi8504f	471	26	result	result	VB
cord-328957-mzi8504f	471	27	in	in	IN
cord-328957-mzi8504f	471	28	a	a	DT
cord-328957-mzi8504f	471	29	high	high	JJ
cord-328957-mzi8504f	471	30	percentage	percentage	NN
cord-328957-mzi8504f	471	31	39	39	CD
cord-328957-mzi8504f	471	32	%	%	NN
cord-328957-mzi8504f	471	33	children	child	NNS
cord-328957-mzi8504f	471	34	,	,	,
cord-328957-mzi8504f	471	35	89	89	CD
cord-328957-mzi8504f	471	36	%	%	NN
cord-328957-mzi8504f	471	37	adults	adult	NNS
cord-328957-mzi8504f	471	38	and	and	CC
cord-328957-mzi8504f	471	39	38.5	38.5	CD
cord-328957-mzi8504f	471	40	%	%	NN
cord-328957-mzi8504f	471	41	children	child	NNS
cord-328957-mzi8504f	471	42	,	,	,
cord-328957-mzi8504f	471	43	100	100	CD
cord-328957-mzi8504f	471	44	%	%	NN
cord-328957-mzi8504f	471	45	510	510	CD
cord-328957-mzi8504f	471	46	adults	adult	NNS
cord-328957-mzi8504f	471	47	of	of	IN
cord-328957-mzi8504f	471	48	infected	infected	JJ
cord-328957-mzi8504f	471	49	individuals	individual	NNS
cord-328957-mzi8504f	471	50	as	as	IN
cord-328957-mzi8504f	471	51	shown	show	VBN
cord-328957-mzi8504f	471	52	in	in	IN
cord-328957-mzi8504f	471	53	Figs	Figs	NNP
cord-328957-mzi8504f	471	54	3	3	CD
cord-328957-mzi8504f	471	55	and	and	CC
cord-328957-mzi8504f	471	56	6	6	CD
cord-328957-mzi8504f	471	57	,	,	,
cord-328957-mzi8504f	471	58	respectively	respectively	RB
cord-328957-mzi8504f	471	59	.	.	.
cord-328957-mzi8504f	472	1	In	in	IN
cord-328957-mzi8504f	472	2	addition	addition	NN
cord-328957-mzi8504f	472	3	,	,	,
cord-328957-mzi8504f	472	4	the	the	DT
cord-328957-mzi8504f	472	5	asymptotic	asymptotic	JJ
cord-328957-mzi8504f	472	6	solutions	solution	NNS
cord-328957-mzi8504f	472	7	of	of	IN
cord-328957-mzi8504f	472	8	the	the	DT
cord-328957-mzi8504f	472	9	model	model	NN
cord-328957-mzi8504f	472	10	are	be	VBP
cord-328957-mzi8504f	472	11	insignificant	insignificant	JJ
cord-328957-mzi8504f	472	12	for	for	IN
cord-328957-mzi8504f	472	13	themselves	-PRON-	PRP
cord-328957-mzi8504f	472	14	as	as	IN
cord-328957-mzi8504f	472	15	512	512	CD
cord-328957-mzi8504f	472	16	November	November	NNP
cord-328957-mzi8504f	472	17	2	2	CD
cord-328957-mzi8504f	472	18	,	,	,
cord-328957-mzi8504f	472	19	2020	2020	CD
cord-328957-mzi8504f	472	20	24/28	24/28	CD
cord-328957-mzi8504f	472	21	.	.	.
cord-328957-mzi8504f	473	1	CC	CC	NNP
cord-328957-mzi8504f	473	2	-	-	HYPH
cord-328957-mzi8504f	473	3	BY	BY	NNP
cord-328957-mzi8504f	473	4	-	-	HYPH
cord-328957-mzi8504f	473	5	NC	NC	NNP
cord-328957-mzi8504f	473	6	-	-	HYPH
cord-328957-mzi8504f	473	7	ND	ND	NNP
cord-328957-mzi8504f	473	8	4.0	4.0	CD
cord-328957-mzi8504f	473	9	International	international	JJ
cord-328957-mzi8504f	473	10	license	license	NN
cord-328957-mzi8504f	473	11	It	-PRON-	PRP
cord-328957-mzi8504f	473	12	is	be	VBZ
cord-328957-mzi8504f	473	13	made	make	VBN
cord-328957-mzi8504f	473	14	available	available	JJ
cord-328957-mzi8504f	473	15	under	under	IN
cord-328957-mzi8504f	473	16	a	a	DT
cord-328957-mzi8504f	474	1	is	be	VBZ
cord-328957-mzi8504f	474	2	the	the	DT
cord-328957-mzi8504f	474	3	author	author	NN
cord-328957-mzi8504f	474	4	/	/	SYM
cord-328957-mzi8504f	474	5	funder	funder	NN
cord-328957-mzi8504f	474	6	,	,	,
cord-328957-mzi8504f	474	7	who	who	WP
cord-328957-mzi8504f	474	8	has	have	VBZ
cord-328957-mzi8504f	474	9	granted	grant	VBN
cord-328957-mzi8504f	474	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	474	11	a	a	DT
cord-328957-mzi8504f	474	12	license	license	NN
cord-328957-mzi8504f	474	13	to	to	TO
cord-328957-mzi8504f	474	14	display	display	VB
cord-328957-mzi8504f	474	15	the	the	DT
cord-328957-mzi8504f	474	16	preprint	preprint	NN
cord-328957-mzi8504f	474	17	in	in	IN
cord-328957-mzi8504f	474	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	474	19	.	.	.
cord-328957-mzi8504f	475	1	(	(	-LRB-
cord-328957-mzi8504f	475	2	which	which	WDT
cord-328957-mzi8504f	475	3	was	be	VBD
cord-328957-mzi8504f	475	4	not	not	RB
cord-328957-mzi8504f	475	5	certified	certify	VBN
cord-328957-mzi8504f	475	6	by	by	IN
cord-328957-mzi8504f	475	7	peer	peer	NN
cord-328957-mzi8504f	475	8	review	review	NN
cord-328957-mzi8504f	475	9	)	)	-RRB-
cord-328957-mzi8504f	476	1	The	the	DT
cord-328957-mzi8504f	476	2	copyright	copyright	NN
cord-328957-mzi8504f	476	3	holder	holder	NN
cord-328957-mzi8504f	476	4	for	for	IN
cord-328957-mzi8504f	476	5	this	this	DT
cord-328957-mzi8504f	476	6	preprint	preprint	NN
cord-328957-mzi8504f	476	7	this	this	DT
cord-328957-mzi8504f	476	8	version	version	NN
cord-328957-mzi8504f	476	9	posted	post	VBN
cord-328957-mzi8504f	476	10	November	November	NNP
cord-328957-mzi8504f	476	11	4	4	CD
cord-328957-mzi8504f	476	12	,	,	,
cord-328957-mzi8504f	476	13	2020	2020	CD
cord-328957-mzi8504f	476	14	.	.	.
cord-328957-mzi8504f	477	1	;	;	:
cord-328957-mzi8504f	477	2	https://doi.org/10.1101/2020.11.02.20224584	https://doi.org/10.1101/2020.11.02.20224584	NNP
cord-328957-mzi8504f	477	3	doi	doi	NN
cord-328957-mzi8504f	477	4	:	:	:
cord-328957-mzi8504f	478	1	medRxiv	medRxiv	NNP
cord-328957-mzi8504f	478	2	preprint	preprint	NN
cord-328957-mzi8504f	478	3	in	in	IN
cord-328957-mzi8504f	478	4	practice	practice	NN
cord-328957-mzi8504f	479	1	these	these	DT
cord-328957-mzi8504f	479	2	results	result	NNS
cord-328957-mzi8504f	479	3	occur	occur	VBP
cord-328957-mzi8504f	479	4	after	after	IN
cord-328957-mzi8504f	479	5	A	a	DT
cord-328957-mzi8504f	479	6	days	day	NNS
cord-328957-mzi8504f	479	7	(	(	-LRB-
cord-328957-mzi8504f	479	8	13	13	CD
cord-328957-mzi8504f	479	9	years	year	NNS
cord-328957-mzi8504f	479	10	)	)	-RRB-
cord-328957-mzi8504f	479	11	.	.	.
cord-328957-mzi8504f	480	1	The	the	DT
cord-328957-mzi8504f	480	2	main	main	JJ
cord-328957-mzi8504f	480	3	epidemic	epidemic	NN
cord-328957-mzi8504f	480	4	dynamics	dynamic	NNS
cord-328957-mzi8504f	480	5	as	as	IN
cord-328957-mzi8504f	480	6	513	513	CD
cord-328957-mzi8504f	480	7	obtained	obtain	VBD
cord-328957-mzi8504f	480	8	from	from	IN
cord-328957-mzi8504f	480	9	both	both	CC
cord-328957-mzi8504f	480	10	the	the	DT
cord-328957-mzi8504f	480	11	SIRD	SIRD	NNP
cord-328957-mzi8504f	480	12	model	model	NN
cord-328957-mzi8504f	480	13	Eqs	Eqs	NNP
cord-328957-mzi8504f	480	14	(	(	-LRB-
cord-328957-mzi8504f	480	15	9	9	CD
cord-328957-mzi8504f	480	16	)	)	-RRB-
cord-328957-mzi8504f	480	17	(	(	-LRB-
cord-328957-mzi8504f	480	18	10	10	CD
cord-328957-mzi8504f	480	19	)	)	-RRB-
cord-328957-mzi8504f	480	20	and	and	CC
cord-328957-mzi8504f	480	21	the	the	DT
cord-328957-mzi8504f	480	22	hybrid	hybrid	JJ
cord-328957-mzi8504f	480	23	model	model	NN
cord-328957-mzi8504f	480	24	is	be	VBZ
cord-328957-mzi8504f	480	25	a	a	DT
cord-328957-mzi8504f	480	26	few	few	JJ
cord-328957-mzi8504f	480	27	month	month	NN
cord-328957-mzi8504f	480	28	514	514	CD
cord-328957-mzi8504f	480	29	long	long	RB
cord-328957-mzi8504f	480	30	,	,	,
cord-328957-mzi8504f	480	31	as	as	IN
cord-328957-mzi8504f	480	32	shown	show	VBN
cord-328957-mzi8504f	480	33	in	in	IN
cord-328957-mzi8504f	480	34	Figs	Figs	NNP
cord-328957-mzi8504f	480	35	3	3	CD
cord-328957-mzi8504f	480	36	and	and	CC
cord-328957-mzi8504f	480	37	6	6	CD
cord-328957-mzi8504f	480	38	.	.	.
cord-328957-mzi8504f	481	1	Besides	besides	RB
cord-328957-mzi8504f	481	2	,	,	,
cord-328957-mzi8504f	481	3	the	the	DT
cord-328957-mzi8504f	481	4	asymptotic	asymptotic	JJ
cord-328957-mzi8504f	481	5	solution	solution	NN
cord-328957-mzi8504f	481	6	can	can	MD
cord-328957-mzi8504f	481	7	be	be	VB
cord-328957-mzi8504f	481	8	used	use	VBN
cord-328957-mzi8504f	481	9	to	to	IN
cord-328957-mzi8504f	481	10	easily	easily	RB
cord-328957-mzi8504f	481	11	515	515	CD
cord-328957-mzi8504f	481	12	obtain	obtain	VB
cord-328957-mzi8504f	481	13	D	D	NNP
cord-328957-mzi8504f	481	14	a	a	NN
cord-328957-mzi8504f	481	15	and	and	CC
cord-328957-mzi8504f	481	16	D	d	NN
cord-328957-mzi8504f	481	17	c	c	NN
cord-328957-mzi8504f	482	1	as	as	IN
cord-328957-mzi8504f	482	2	they	-PRON-	PRP
cord-328957-mzi8504f	482	3	accumulative	accumulative	JJ
cord-328957-mzi8504f	482	4	sums	sum	NNS
cord-328957-mzi8504f	482	5	of	of	IN
cord-328957-mzi8504f	482	6	infected	infected	JJ
cord-328957-mzi8504f	482	7	infected	infected	JJ
cord-328957-mzi8504f	482	8	adults	adult	NNS
cord-328957-mzi8504f	482	9	and	and	CC
cord-328957-mzi8504f	482	10	children	child	NNS
cord-328957-mzi8504f	482	11	516	516	CD
cord-328957-mzi8504f	482	12	multiplied	multiply	VBD
cord-328957-mzi8504f	482	13	by	by	IN
cord-328957-mzi8504f	482	14	a	a	DT
cord-328957-mzi8504f	482	15	factor	factor	NN
cord-328957-mzi8504f	482	16	ψ	ψ	NN
cord-328957-mzi8504f	482	17	a	a	NN
cord-328957-mzi8504f	482	18	and	and	CC
cord-328957-mzi8504f	482	19	ψ	ψ	NN
cord-328957-mzi8504f	482	20	c	c	NN
cord-328957-mzi8504f	482	21	and	and	CC
cord-328957-mzi8504f	482	22	do	do	VB
cord-328957-mzi8504f	482	23	not	not	RB
cord-328957-mzi8504f	482	24	change	change	VB
cord-328957-mzi8504f	482	25	after	after	IN
cord-328957-mzi8504f	482	26	the	the	DT
cord-328957-mzi8504f	482	27	epidemic	epidemic	NN
cord-328957-mzi8504f	482	28	is	be	VBZ
cord-328957-mzi8504f	482	29	over	over	RB
cord-328957-mzi8504f	482	30	.	.	.
cord-328957-mzi8504f	483	1	As	as	IN
cord-328957-mzi8504f	483	2	a	a	DT
cord-328957-mzi8504f	483	3	517	517	CD
cord-328957-mzi8504f	483	4	result	result	NN
cord-328957-mzi8504f	483	5	,	,	,
cord-328957-mzi8504f	483	6	α	α	NN
cord-328957-mzi8504f	483	7	=	=	SYM
cord-328957-mzi8504f	483	8	2.1	2.1	CD
cord-328957-mzi8504f	483	9	·	·	NFP
cord-328957-mzi8504f	483	10	10	10	CD
cord-328957-mzi8504f	483	11	−4	−4	CD
cord-328957-mzi8504f	483	12	is	be	VBZ
cord-328957-mzi8504f	483	13	not	not	RB
cord-328957-mzi8504f	483	14	used	use	VBN
cord-328957-mzi8504f	483	15	as	as	IN
cord-328957-mzi8504f	483	16	for	for	IN
cord-328957-mzi8504f	483	17	82	82	CD
cord-328957-mzi8504f	483	18	days	day	NNS
cord-328957-mzi8504f	483	19	(	(	-LRB-
cord-328957-mzi8504f	483	20	as	as	IN
cord-328957-mzi8504f	483	21	shown	show	VBN
cord-328957-mzi8504f	483	22	in	in	IN
cord-328957-mzi8504f	483	23	Fig	Fig	NNP
cord-328957-mzi8504f	483	24	3	3	CD
cord-328957-mzi8504f	483	25	)	)	-RRB-
cord-328957-mzi8504f	483	26	only	only	RB
cord-328957-mzi8504f	483	27	0.017	0.017	CD
cord-328957-mzi8504f	483	28	%	%	NN
cord-328957-mzi8504f	483	29	of	of	IN
cord-328957-mzi8504f	483	30	the	the	DT
cord-328957-mzi8504f	483	31	518	518	CD
cord-328957-mzi8504f	483	32	children	child	NNS
cord-328957-mzi8504f	483	33	will	will	MD
cord-328957-mzi8504f	483	34	become	become	VB
cord-328957-mzi8504f	483	35	adults	adult	NNS
cord-328957-mzi8504f	483	36	which	which	WDT
cord-328957-mzi8504f	483	37	effectually	effectually	RB
cord-328957-mzi8504f	483	38	has	have	VBZ
cord-328957-mzi8504f	483	39	only	only	RB
cord-328957-mzi8504f	483	40	a	a	DT
cord-328957-mzi8504f	483	41	minor	minor	JJ
cord-328957-mzi8504f	483	42	affect	affect	NN
cord-328957-mzi8504f	483	43	on	on	IN
cord-328957-mzi8504f	483	44	the	the	DT
cord-328957-mzi8504f	483	45	epidemic	epidemic	NN
cord-328957-mzi8504f	483	46	519	519	CD
cord-328957-mzi8504f	483	47	results	result	NNS
cord-328957-mzi8504f	483	48	.	.	.
cord-328957-mzi8504f	484	1	520	520	CD
cord-328957-mzi8504f	485	1	We	-PRON-	PRP
cord-328957-mzi8504f	485	2	presented	present	VBD
cord-328957-mzi8504f	485	3	the	the	DT
cord-328957-mzi8504f	485	4	proposed	propose	VBN
cord-328957-mzi8504f	485	5	model	model	NN
cord-328957-mzi8504f	485	6	as	as	IN
cord-328957-mzi8504f	485	7	a	a	DT
cord-328957-mzi8504f	485	8	stochastic	stochastic	JJ
cord-328957-mzi8504f	485	9	process	process	NN
cord-328957-mzi8504f	485	10	using	use	VBG
cord-328957-mzi8504f	485	11	the	the	DT
cord-328957-mzi8504f	485	12	Markov	Markov	NNP
cord-328957-mzi8504f	485	13	chain	chain	NN
cord-328957-mzi8504f	485	14	521	521	CD
cord-328957-mzi8504f	485	15	modeling	modeling	NN
cord-328957-mzi8504f	485	16	approach	approach	NN
cord-328957-mzi8504f	485	17	as	as	IN
cord-328957-mzi8504f	485	18	shown	show	VBN
cord-328957-mzi8504f	485	19	in	in	IN
cord-328957-mzi8504f	485	20	Lemma	Lemma	NNP
cord-328957-mzi8504f	485	21	1	1	CD
cord-328957-mzi8504f	485	22	.	.	.
cord-328957-mzi8504f	486	1	Using	use	VBG
cord-328957-mzi8504f	486	2	this	this	DT
cord-328957-mzi8504f	486	3	representation	representation	NN
cord-328957-mzi8504f	486	4	,	,	,
cord-328957-mzi8504f	486	5	it	-PRON-	PRP
cord-328957-mzi8504f	486	6	is	be	VBZ
cord-328957-mzi8504f	486	7	easy	easy	JJ
cord-328957-mzi8504f	486	8	to	to	TO
cord-328957-mzi8504f	486	9	find	find	VB
cord-328957-mzi8504f	486	10	522	522	CD
cord-328957-mzi8504f	486	11	the	the	DT
cord-328957-mzi8504f	486	12	stationary	stationary	JJ
cord-328957-mzi8504f	486	13	state	state	NN
cord-328957-mzi8504f	486	14	of	of	IN
cord-328957-mzi8504f	486	15	the	the	DT
cord-328957-mzi8504f	486	16	chain	chain	NN
cord-328957-mzi8504f	487	1	(	(	-LRB-
cord-328957-mzi8504f	487	2	Eq	Eq	NNP
cord-328957-mzi8504f	487	3	(	(	-LRB-
cord-328957-mzi8504f	487	4	11	11	CD
cord-328957-mzi8504f	487	5	)	)	-RRB-
cord-328957-mzi8504f	487	6	)	)	-RRB-
cord-328957-mzi8504f	487	7	and	and	CC
cord-328957-mzi8504f	487	8	therefore	therefore	RB
cord-328957-mzi8504f	487	9	the	the	DT
cord-328957-mzi8504f	487	10	possible	possible	JJ
cord-328957-mzi8504f	487	11	asymptotic	asymptotic	JJ
cord-328957-mzi8504f	487	12	forms	form	NNS
cord-328957-mzi8504f	487	13	523	523	CD
cord-328957-mzi8504f	487	14	of	of	IN
cord-328957-mzi8504f	487	15	the	the	DT
cord-328957-mzi8504f	487	16	SIRD	SIRD	NNP
cord-328957-mzi8504f	487	17	model	model	NN
cord-328957-mzi8504f	487	18	Eqs	Eqs	NNP
cord-328957-mzi8504f	487	19	(	(	-LRB-
cord-328957-mzi8504f	487	20	9	9	CD
cord-328957-mzi8504f	487	21	-	-	SYM
cord-328957-mzi8504f	487	22	10	10	CD
cord-328957-mzi8504f	487	23	)	)	-RRB-
cord-328957-mzi8504f	487	24	.	.	.
cord-328957-mzi8504f	488	1	Furthermore	furthermore	RB
cord-328957-mzi8504f	488	2	,	,	,
cord-328957-mzi8504f	488	3	two	two	CD
cord-328957-mzi8504f	488	4	policies	policy	NNS
cord-328957-mzi8504f	488	5	for	for	IN
cord-328957-mzi8504f	488	6	controlling	control	VBG
cord-328957-mzi8504f	488	7	the	the	DT
cord-328957-mzi8504f	488	8	epidemic	epidemic	NN
cord-328957-mzi8504f	488	9	and	and	CC
cord-328957-mzi8504f	488	10	preventing	prevent	VBG
cord-328957-mzi8504f	488	11	outbreak	outbreak	NN
cord-328957-mzi8504f	488	12	have	have	VBP
cord-328957-mzi8504f	488	13	525	525	CD
cord-328957-mzi8504f	488	14	been	be	VBN
cord-328957-mzi8504f	488	15	investigated	investigate	VBN
cord-328957-mzi8504f	488	16	using	use	VBG
cord-328957-mzi8504f	488	17	the	the	DT
cord-328957-mzi8504f	488	18	hybrid	hybrid	JJ
cord-328957-mzi8504f	488	19	model	model	NN
cord-328957-mzi8504f	488	20	.	.	.
cord-328957-mzi8504f	489	1	First	first	RB
cord-328957-mzi8504f	489	2	,	,	,
cord-328957-mzi8504f	489	3	the	the	DT
cord-328957-mzi8504f	489	4	duration	duration	NN
cord-328957-mzi8504f	489	5	of	of	IN
cord-328957-mzi8504f	489	6	working	work	VBG
cord-328957-mzi8504f	489	7	and	and	CC
cord-328957-mzi8504f	489	8	schooling	school	VBG
cord-328957-mzi8504f	489	9	526	526	CD
cord-328957-mzi8504f	489	10	day	day	NN
cord-328957-mzi8504f	489	11	has	have	VBZ
cord-328957-mzi8504f	489	12	an	an	DT
cord-328957-mzi8504f	489	13	influence	influence	NN
cord-328957-mzi8504f	489	14	(	(	-LRB-
cord-328957-mzi8504f	489	15	up	up	IN
cord-328957-mzi8504f	489	16	to	to	TO
cord-328957-mzi8504f	489	17	10	10	CD
cord-328957-mzi8504f	489	18	%	%	NN
cord-328957-mzi8504f	489	19	)	)	-RRB-
cord-328957-mzi8504f	489	20	on	on	IN
cord-328957-mzi8504f	489	21	the	the	DT
cord-328957-mzi8504f	489	22	maximum	maximum	NN
cord-328957-mzi8504f	489	23	of	of	IN
cord-328957-mzi8504f	489	24	infected	infected	JJ
cord-328957-mzi8504f	489	25	individuals	individual	NNS
cord-328957-mzi8504f	489	26	but	but	CC
cord-328957-mzi8504f	489	27	can	can	MD
cord-328957-mzi8504f	489	28	prevent	prevent	VB
cord-328957-mzi8504f	489	29	527	527	CD
cord-328957-mzi8504f	489	30	outbreaks	outbreak	NNS
cord-328957-mzi8504f	489	31	under	under	IN
cord-328957-mzi8504f	489	32	the	the	DT
cord-328957-mzi8504f	489	33	assumption	assumption	NN
cord-328957-mzi8504f	489	34	that	that	IN
cord-328957-mzi8504f	489	35	during	during	IN
cord-328957-mzi8504f	489	36	this	this	DT
cord-328957-mzi8504f	489	37	time	time	NN
cord-328957-mzi8504f	489	38	adults	adult	NNS
cord-328957-mzi8504f	489	39	do	do	VBP
cord-328957-mzi8504f	489	40	not	not	RB
cord-328957-mzi8504f	489	41	contact	contact	VB
cord-328957-mzi8504f	489	42	children	child	NNS
cord-328957-mzi8504f	489	43	at	at	IN
cord-328957-mzi8504f	489	44	528	528	CD
cord-328957-mzi8504f	489	45	all	all	DT
cord-328957-mzi8504f	489	46	as	as	IN
cord-328957-mzi8504f	489	47	shown	show	VBN
cord-328957-mzi8504f	489	48	in	in	IN
cord-328957-mzi8504f	489	49	Fig	Fig	NNP
cord-328957-mzi8504f	489	50	7	7	CD
cord-328957-mzi8504f	489	51	.	.	.
cord-328957-mzi8504f	490	1	These	these	DT
cord-328957-mzi8504f	490	2	results	result	NNS
cord-328957-mzi8504f	490	3	match	match	VBP
cord-328957-mzi8504f	490	4	the	the	DT
cord-328957-mzi8504f	490	5	conclusions	conclusion	NNS
cord-328957-mzi8504f	490	6	reported	report	VBN
cord-328957-mzi8504f	490	7	by	by	IN
cord-328957-mzi8504f	490	8	Keskinocak	Keskinocak	NNP
cord-328957-mzi8504f	490	9	et	et	NNP
cord-328957-mzi8504f	490	10	529	529	CD
cord-328957-mzi8504f	490	11	al	al	NNP
cord-328957-mzi8504f	490	12	.	.	.
cord-328957-mzi8504f	491	1	(	(	-LRB-
cord-328957-mzi8504f	491	2	2020	2020	CD
cord-328957-mzi8504f	491	3	)	)	-RRB-
cord-328957-mzi8504f	491	4	for	for	IN
cord-328957-mzi8504f	491	5	Georgia	Georgia	NNP
cord-328957-mzi8504f	491	6	state	state	NN
cord-328957-mzi8504f	491	7	[	[	-LRB-
cord-328957-mzi8504f	491	8	35	35	CD
cord-328957-mzi8504f	491	9	]	]	-RRB-
cord-328957-mzi8504f	491	10	.	.	.
cord-328957-mzi8504f	492	1	In	in	IN
cord-328957-mzi8504f	492	2	addition	addition	NN
cord-328957-mzi8504f	492	3	,	,	,
cord-328957-mzi8504f	492	4	these	these	DT
cord-328957-mzi8504f	492	5	results	result	NNS
cord-328957-mzi8504f	492	6	match	match	VBP
cord-328957-mzi8504f	492	7	the	the	DT
cord-328957-mzi8504f	492	8	results	result	NNS
cord-328957-mzi8504f	492	9	reported	report	VBD
cord-328957-mzi8504f	492	10	530	530	CD
cord-328957-mzi8504f	492	11	by	by	IN
cord-328957-mzi8504f	492	12	Di	Di	NNP
cord-328957-mzi8504f	492	13	Domenico	Domenico	NNP
cord-328957-mzi8504f	492	14	[	[	-LRB-
cord-328957-mzi8504f	492	15	16	16	CD
cord-328957-mzi8504f	492	16	]	]	-RRB-
cord-328957-mzi8504f	492	17	that	that	IN
cord-328957-mzi8504f	492	18	school	school	NN
cord-328957-mzi8504f	492	19	closure	closure	NN
cord-328957-mzi8504f	492	20	has	have	VBZ
cord-328957-mzi8504f	492	21	a	a	DT
cord-328957-mzi8504f	492	22	minor	minor	JJ
cord-328957-mzi8504f	492	23	influence	influence	NN
cord-328957-mzi8504f	492	24	on	on	IN
cord-328957-mzi8504f	492	25	the	the	DT
cord-328957-mzi8504f	492	26	epidemic	epidemic	NN
cord-328957-mzi8504f	492	27	peak	peak	NN
cord-328957-mzi8504f	492	28	,	,	,
cord-328957-mzi8504f	492	29	531	531	CD
cord-328957-mzi8504f	492	30	just	just	RB
cord-328957-mzi8504f	492	31	delays	delay	VBZ
cord-328957-mzi8504f	492	32	it	-PRON-	PRP
cord-328957-mzi8504f	492	33	.	.	.
cord-328957-mzi8504f	493	1	Second	second	RB
cord-328957-mzi8504f	493	2	,	,	,
cord-328957-mzi8504f	493	3	a	a	DT
cord-328957-mzi8504f	493	4	partial	partial	JJ
cord-328957-mzi8504f	493	5	lockdown	lockdown	NN
cord-328957-mzi8504f	493	6	of	of	IN
cord-328957-mzi8504f	493	7	adults	adult	NNS
cord-328957-mzi8504f	493	8	and	and	CC
cord-328957-mzi8504f	493	9	children	child	NNS
cord-328957-mzi8504f	493	10	show	show	VBP
cord-328957-mzi8504f	493	11	that	that	IN
cord-328957-mzi8504f	493	12	adults	adult	NNS
cord-328957-mzi8504f	493	13	and	and	CC
cord-328957-mzi8504f	493	14	532	532	CD
cord-328957-mzi8504f	493	15	children	child	NNS
cord-328957-mzi8504f	493	16	lockdown	lockdown	NN
cord-328957-mzi8504f	493	17	has	have	VBZ
cord-328957-mzi8504f	493	18	a	a	DT
cord-328957-mzi8504f	493	19	similar	similar	JJ
cord-328957-mzi8504f	493	20	first	first	JJ
cord-328957-mzi8504f	493	21	-	-	HYPH
cord-328957-mzi8504f	493	22	order	order	NN
cord-328957-mzi8504f	493	23	effect	effect	NN
cord-328957-mzi8504f	493	24	(	(	-LRB-
cord-328957-mzi8504f	493	25	linear	linear	JJ
cord-328957-mzi8504f	493	26	coefficients	coefficient	NNS
cord-328957-mzi8504f	493	27	of	of	IN
cord-328957-mzi8504f	493	28	L	L	NNP
cord-328957-mzi8504f	493	29	a	a	NNP
cord-328957-mzi8504f	493	30	and	and	CC
cord-328957-mzi8504f	493	31	L	L	NNP
cord-328957-mzi8504f	493	32	c	c	NN
cord-328957-mzi8504f	493	33	)	)	-RRB-
cord-328957-mzi8504f	493	34	but	but	CC
cord-328957-mzi8504f	494	1	533	533	CD
cord-328957-mzi8504f	494	2	the	the	DT
cord-328957-mzi8504f	494	3	combination	combination	NN
cord-328957-mzi8504f	494	4	between	between	IN
cord-328957-mzi8504f	494	5	the	the	DT
cord-328957-mzi8504f	494	6	two	two	CD
cord-328957-mzi8504f	494	7	(	(	-LRB-
cord-328957-mzi8504f	494	8	L	L	NNP
cord-328957-mzi8504f	494	9	a	a	DT
cord-328957-mzi8504f	494	10	L	l	NN
cord-328957-mzi8504f	494	11	c	c	NN
cord-328957-mzi8504f	494	12	)	)	-RRB-
cord-328957-mzi8504f	494	13	has	have	VBZ
cord-328957-mzi8504f	494	14	a	a	DT
cord-328957-mzi8504f	494	15	bigger	big	JJR
cord-328957-mzi8504f	494	16	weight	weight	NN
cord-328957-mzi8504f	494	17	on	on	IN
cord-328957-mzi8504f	494	18	the	the	DT
cord-328957-mzi8504f	494	19	average	average	JJ
cord-328957-mzi8504f	494	20	infection	infection	NN
cord-328957-mzi8504f	494	21	534	534	CD
cord-328957-mzi8504f	494	22	rate	rate	NN
cord-328957-mzi8504f	494	23	as	as	IN
cord-328957-mzi8504f	494	24	shown	show	VBN
cord-328957-mzi8504f	494	25	in	in	IN
cord-328957-mzi8504f	494	26	Eqs	Eqs	NNP
cord-328957-mzi8504f	494	27	(	(	-LRB-
cord-328957-mzi8504f	494	28	19	19	CD
cord-328957-mzi8504f	494	29	)	)	-RRB-
cord-328957-mzi8504f	494	30	and	and	CC
cord-328957-mzi8504f	494	31	(	(	-LRB-
cord-328957-mzi8504f	494	32	21	21	CD
cord-328957-mzi8504f	494	33	)	)	-RRB-
cord-328957-mzi8504f	494	34	.	.	.
cord-328957-mzi8504f	495	1	These	these	DT
cord-328957-mzi8504f	495	2	results	result	NNS
cord-328957-mzi8504f	495	3	match	match	VBP
cord-328957-mzi8504f	495	4	the	the	DT
cord-328957-mzi8504f	495	5	conclusions	conclusion	NNS
cord-328957-mzi8504f	495	6	reported	report	VBN
cord-328957-mzi8504f	495	7	by	by	IN
cord-328957-mzi8504f	495	8	535	535	CD
cord-328957-mzi8504f	495	9	Aglar	Aglar	NNP
cord-328957-mzi8504f	495	10	et	et	NNP
cord-328957-mzi8504f	495	11	al	al	NNP
cord-328957-mzi8504f	495	12	.	.	.
cord-328957-mzi8504f	496	1	(	(	-LRB-
cord-328957-mzi8504f	496	2	2020	2020	CD
cord-328957-mzi8504f	496	3	)	)	-RRB-
cord-328957-mzi8504f	496	4	for	for	IN
cord-328957-mzi8504f	496	5	the	the	DT
cord-328957-mzi8504f	496	6	state	state	NN
cord-328957-mzi8504f	496	7	of	of	IN
cord-328957-mzi8504f	496	8	Georgia	Georgia	NNP
cord-328957-mzi8504f	496	9	regarding	regard	VBG
cord-328957-mzi8504f	496	10	the	the	DT
cord-328957-mzi8504f	496	11	voluntary	voluntary	JJ
cord-328957-mzi8504f	496	12	lockdown	lockdown	NN
cord-328957-mzi8504f	496	13	with	with	IN
cord-328957-mzi8504f	496	14	536	536	CD
cord-328957-mzi8504f	496	15	school	school	NN
cord-328957-mzi8504f	496	16	closure	closure	NN
cord-328957-mzi8504f	496	17	[	[	-LRB-
cord-328957-mzi8504f	496	18	36	36	CD
cord-328957-mzi8504f	496	19	]	]	-RRB-
cord-328957-mzi8504f	496	20	.	.	.
cord-328957-mzi8504f	497	1	By	by	IN
cord-328957-mzi8504f	497	2	the	the	DT
cord-328957-mzi8504f	497	3	same	same	JJ
cord-328957-mzi8504f	497	4	token	token	NN
cord-328957-mzi8504f	497	5	,	,	,
cord-328957-mzi8504f	497	6	a	a	DT
cord-328957-mzi8504f	497	7	lockdown	lockdown	NN
cord-328957-mzi8504f	497	8	of	of	IN
cord-328957-mzi8504f	497	9	approximately	approximately	RB
cord-328957-mzi8504f	497	10	half	half	NN
cord-328957-mzi8504f	497	11	of	of	IN
cord-328957-mzi8504f	497	12	the	the	DT
cord-328957-mzi8504f	497	13	adult	adult	NN
cord-328957-mzi8504f	497	14	537	537	CD
cord-328957-mzi8504f	497	15	population	population	NN
cord-328957-mzi8504f	497	16	prevents	prevent	VBZ
cord-328957-mzi8504f	497	17	an	an	DT
cord-328957-mzi8504f	497	18	outbreak	outbreak	NN
cord-328957-mzi8504f	497	19	where	where	WRB
cord-328957-mzi8504f	497	20	children	child	NNS
cord-328957-mzi8504f	497	21	lockdown	lockdown	NN
cord-328957-mzi8504f	497	22	has	have	VBZ
cord-328957-mzi8504f	497	23	a	a	DT
cord-328957-mzi8504f	497	24	less	less	RBR
cord-328957-mzi8504f	497	25	significant	significant	JJ
cord-328957-mzi8504f	497	26	influence	influence	NN
cord-328957-mzi8504f	497	27	538	538	CD
cord-328957-mzi8504f	497	28	as	as	IN
cord-328957-mzi8504f	497	29	shown	show	VBN
cord-328957-mzi8504f	497	30	in	in	IN
cord-328957-mzi8504f	497	31	Figs	Figs	NNP
cord-328957-mzi8504f	497	32	8	8	CD
cord-328957-mzi8504f	497	33	and	and	CC
cord-328957-mzi8504f	497	34	9	9	CD
cord-328957-mzi8504f	497	35	.	.	.
cord-328957-mzi8504f	498	1	These	these	DT
cord-328957-mzi8504f	498	2	results	result	NNS
cord-328957-mzi8504f	498	3	are	be	VBP
cord-328957-mzi8504f	498	4	based	base	VBN
cord-328957-mzi8504f	498	5	on	on	IN
cord-328957-mzi8504f	498	6	values	value	NNS
cord-328957-mzi8504f	498	7	from	from	IN
cord-328957-mzi8504f	498	8	Table	table	NN
cord-328957-mzi8504f	498	9	1	1	CD
cord-328957-mzi8504f	498	10	,	,	,
cord-328957-mzi8504f	498	11	which	which	WDT
cord-328957-mzi8504f	498	12	can	can	MD
cord-328957-mzi8504f	498	13	vary	vary	VB
cord-328957-mzi8504f	498	14	539	539	CD
cord-328957-mzi8504f	498	15	significantly	significantly	RB
cord-328957-mzi8504f	498	16	between	between	IN
cord-328957-mzi8504f	498	17	countries	country	NNS
cord-328957-mzi8504f	498	18	and	and	CC
cord-328957-mzi8504f	498	19	depend	depend	VB
cord-328957-mzi8504f	498	20	on	on	IN
cord-328957-mzi8504f	498	21	other	other	JJ
cord-328957-mzi8504f	498	22	hyperparameters	hyperparameter	NNS
cord-328957-mzi8504f	498	23	such	such	JJ
cord-328957-mzi8504f	498	24	as	as	IN
cord-328957-mzi8504f	498	25	population	population	NN
cord-328957-mzi8504f	498	26	540	540	CD
cord-328957-mzi8504f	498	27	density	density	NN
cord-328957-mzi8504f	498	28	,	,	,
cord-328957-mzi8504f	498	29	age	age	NN
cord-328957-mzi8504f	498	30	distribution	distribution	NN
cord-328957-mzi8504f	498	31	of	of	IN
cord-328957-mzi8504f	498	32	the	the	DT
cord-328957-mzi8504f	498	33	population	population	NN
cord-328957-mzi8504f	498	34	and	and	CC
cord-328957-mzi8504f	498	35	others	other	NNS
cord-328957-mzi8504f	498	36	.	.	.
cord-328957-mzi8504f	499	1	The	the	DT
cord-328957-mzi8504f	499	2	model	model	NN
cord-328957-mzi8504f	499	3	explains	explain	VBZ
cord-328957-mzi8504f	499	4	the	the	DT
cord-328957-mzi8504f	499	5	dynamics	dynamic	NNS
cord-328957-mzi8504f	499	6	that	that	WDT
cord-328957-mzi8504f	499	7	took	take	VBD
cord-328957-mzi8504f	499	8	place	place	NN
cord-328957-mzi8504f	499	9	between	between	IN
cord-328957-mzi8504f	499	10	August	August	NNP
cord-328957-mzi8504f	499	11	15	15	CD
cord-328957-mzi8504f	499	12	and	and	CC
cord-328957-mzi8504f	499	13	September	September	NNP
cord-328957-mzi8504f	499	14	542	542	CD
cord-328957-mzi8504f	499	15	15	15	CD
cord-328957-mzi8504f	499	16	(	(	-LRB-
cord-328957-mzi8504f	499	17	2020	2020	CD
cord-328957-mzi8504f	499	18	)	)	-RRB-
cord-328957-mzi8504f	499	19	in	in	IN
cord-328957-mzi8504f	499	20	Israel	Israel	NNP
cord-328957-mzi8504f	499	21	as	as	IN
cord-328957-mzi8504f	499	22	presented	present	VBN
cord-328957-mzi8504f	499	23	in	in	IN
cord-328957-mzi8504f	499	24	Fig	Fig	NNP
cord-328957-mzi8504f	499	25	11	11	CD
cord-328957-mzi8504f	499	26	with	with	IN
cord-328957-mzi8504f	499	27	mean	mean	JJ
cord-328957-mzi8504f	499	28	square	square	JJ
cord-328957-mzi8504f	499	29	error	error	NN
cord-328957-mzi8504f	499	30	(	(	-LRB-
cord-328957-mzi8504f	499	31	MSE	MSE	NNP
cord-328957-mzi8504f	499	32	)	)	-RRB-
cord-328957-mzi8504f	499	33	of	of	IN
cord-328957-mzi8504f	499	34	0.205	0.205	CD
cord-328957-mzi8504f	499	35	.	.	.
cord-328957-mzi8504f	500	1	The	the	DT
cord-328957-mzi8504f	500	2	543	543	CD
cord-328957-mzi8504f	500	3	opening	opening	NN
cord-328957-mzi8504f	500	4	of	of	IN
cord-328957-mzi8504f	500	5	the	the	DT
cord-328957-mzi8504f	500	6	schools	school	NNS
cord-328957-mzi8504f	500	7	is	be	VBZ
cord-328957-mzi8504f	500	8	equal	equal	JJ
cord-328957-mzi8504f	500	9	to	to	IN
cord-328957-mzi8504f	500	10	reducing	reduce	VBG
cord-328957-mzi8504f	500	11	the	the	DT
cord-328957-mzi8504f	500	12	lockdown	lockdown	NN
cord-328957-mzi8504f	500	13	for	for	IN
cord-328957-mzi8504f	500	14	children	child	NNS
cord-328957-mzi8504f	500	15	with	with	IN
cord-328957-mzi8504f	500	16	some	some	DT
cord-328957-mzi8504f	500	17	relaxation	relaxation	NN
cord-328957-mzi8504f	500	18	544	544	CD
cord-328957-mzi8504f	500	19	(	(	-LRB-
cord-328957-mzi8504f	500	20	smaller	small	JJR
cord-328957-mzi8504f	500	21	L	L	NNP
cord-328957-mzi8504f	500	22	a	a	DT
cord-328957-mzi8504f	500	23	)	)	-RRB-
cord-328957-mzi8504f	500	24	of	of	IN
cord-328957-mzi8504f	500	25	the	the	DT
cord-328957-mzi8504f	500	26	lockdown	lockdown	NN
cord-328957-mzi8504f	500	27	for	for	IN
cord-328957-mzi8504f	500	28	adults	adult	NNS
cord-328957-mzi8504f	500	29	(	(	-LRB-
cord-328957-mzi8504f	500	30	because	because	IN
cord-328957-mzi8504f	500	31	if	if	IN
cord-328957-mzi8504f	500	32	the	the	DT
cord-328957-mzi8504f	500	33	children	child	NNS
cord-328957-mzi8504f	500	34	in	in	IN
cord-328957-mzi8504f	500	35	school	school	NN
cord-328957-mzi8504f	500	36	they	-PRON-	PRP
cord-328957-mzi8504f	500	37	can	can	MD
cord-328957-mzi8504f	500	38	go	go	VB
cord-328957-mzi8504f	500	39	to	to	IN
cord-328957-mzi8504f	500	40	545	545	CD
cord-328957-mzi8504f	500	41	work	work	NN
cord-328957-mzi8504f	500	42	)	)	-RRB-
cord-328957-mzi8504f	500	43	with	with	IN
cord-328957-mzi8504f	500	44	less	less	JJR
cord-328957-mzi8504f	500	45	then	then	RB
cord-328957-mzi8504f	500	46	half	half	NN
cord-328957-mzi8504f	500	47	(	(	-LRB-
cord-328957-mzi8504f	500	48	50	50	CD
cord-328957-mzi8504f	500	49	%	%	NN
cord-328957-mzi8504f	500	50	)	)	-RRB-
cord-328957-mzi8504f	500	51	of	of	IN
cord-328957-mzi8504f	500	52	the	the	DT
cord-328957-mzi8504f	500	53	adult	adult	NN
cord-328957-mzi8504f	500	54	population	population	NN
cord-328957-mzi8504f	500	55	voluntary	voluntary	JJ
cord-328957-mzi8504f	500	56	in	in	IN
cord-328957-mzi8504f	500	57	lockdown	lockdown	NN
cord-328957-mzi8504f	500	58	.	.	.
cord-328957-mzi8504f	501	1	Also	also	RB
cord-328957-mzi8504f	501	2	,	,	,
cord-328957-mzi8504f	501	3	546	546	CD
cord-328957-mzi8504f	501	4	the	the	DT
cord-328957-mzi8504f	501	5	schooling	schooling	NN
cord-328957-mzi8504f	501	6	hours	hour	NNS
cord-328957-mzi8504f	501	7	were	be	VBD
cord-328957-mzi8504f	501	8	reduced	reduce	VBN
cord-328957-mzi8504f	501	9	to	to	IN
cord-328957-mzi8504f	501	10	less	less	JJR
cord-328957-mzi8504f	501	11	than	than	IN
cord-328957-mzi8504f	501	12	6	6	CD
cord-328957-mzi8504f	501	13	hours	hour	NNS
cord-328957-mzi8504f	501	14	each	each	DT
cord-328957-mzi8504f	501	15	day	day	NN
cord-328957-mzi8504f	501	16	.	.	.
cord-328957-mzi8504f	502	1	From	from	IN
cord-328957-mzi8504f	502	2	Figs	Figs	NNP
cord-328957-mzi8504f	502	3	7a	7a	NN
cord-328957-mzi8504f	502	4	and	and	CC
cord-328957-mzi8504f	502	5	8c	8c	CD
cord-328957-mzi8504f	502	6	547	547	CD
cord-328957-mzi8504f	503	1	it	-PRON-	PRP
cord-328957-mzi8504f	503	2	is	be	VBZ
cord-328957-mzi8504f	503	3	easy	easy	JJ
cord-328957-mzi8504f	503	4	to	to	TO
cord-328957-mzi8504f	503	5	see	see	VB
cord-328957-mzi8504f	503	6	that	that	IN
cord-328957-mzi8504f	503	7	this	this	DT
cord-328957-mzi8504f	503	8	policy	policy	NN
cord-328957-mzi8504f	503	9	predicts	predict	VBZ
cord-328957-mzi8504f	503	10	high	high	JJ
cord-328957-mzi8504f	503	11	increase	increase	NN
cord-328957-mzi8504f	503	12	in	in	IN
cord-328957-mzi8504f	503	13	the	the	DT
cord-328957-mzi8504f	503	14	infection	infection	NN
cord-328957-mzi8504f	503	15	rate	rate	NN
cord-328957-mzi8504f	503	16	,	,	,
cord-328957-mzi8504f	503	17	as	as	IN
cord-328957-mzi8504f	503	18	indeed	indeed	RB
cord-328957-mzi8504f	503	19	548	548	CD
cord-328957-mzi8504f	503	20	happened	happen	VBD
cord-328957-mzi8504f	503	21	.	.	.
cord-328957-mzi8504f	504	1	Keeping	keep	VBG
cord-328957-mzi8504f	504	2	the	the	DT
cord-328957-mzi8504f	504	3	schools	school	NNS
cord-328957-mzi8504f	504	4	open	open	JJ
cord-328957-mzi8504f	504	5	while	while	IN
cord-328957-mzi8504f	504	6	keeping	keep	VBG
cord-328957-mzi8504f	504	7	the	the	DT
cord-328957-mzi8504f	504	8	increase	increase	NN
cord-328957-mzi8504f	504	9	in	in	IN
cord-328957-mzi8504f	504	10	the	the	DT
cord-328957-mzi8504f	504	11	infection	infection	NN
cord-328957-mzi8504f	504	12	rate	rate	NN
cord-328957-mzi8504f	504	13	549	549	CD
cord-328957-mzi8504f	504	14	from	from	IN
cord-328957-mzi8504f	504	15	increasing	increase	VBG
cord-328957-mzi8504f	504	16	significantly	significantly	RB
cord-328957-mzi8504f	504	17	is	be	VBZ
cord-328957-mzi8504f	504	18	possible	possible	JJ
cord-328957-mzi8504f	504	19	if	if	IN
cord-328957-mzi8504f	504	20	the	the	DT
cord-328957-mzi8504f	504	21	schooling	schooling	NN
cord-328957-mzi8504f	504	22	hours	hour	NNS
cord-328957-mzi8504f	504	23	are	be	VBP
cord-328957-mzi8504f	504	24	longer	long	JJR
cord-328957-mzi8504f	504	25	(	(	-LRB-
cord-328957-mzi8504f	504	26	8	8	CD
cord-328957-mzi8504f	504	27	-	-	SYM
cord-328957-mzi8504f	504	28	9	9	CD
cord-328957-mzi8504f	504	29	hours	hour	NNS
cord-328957-mzi8504f	504	30	)	)	-RRB-
cord-328957-mzi8504f	504	31	as	as	IN
cord-328957-mzi8504f	504	32	550	550	CD
cord-328957-mzi8504f	504	33	shown	show	VBN
cord-328957-mzi8504f	504	34	in	in	IN
cord-328957-mzi8504f	504	35	Fig	Fig	NNP
cord-328957-mzi8504f	504	36	7a	7a	NN
cord-328957-mzi8504f	504	37	.	.	.
cord-328957-mzi8504f	505	1	The	the	DT
cord-328957-mzi8504f	505	2	influence	influence	NN
cord-328957-mzi8504f	505	3	of	of	IN
cord-328957-mzi8504f	505	4	this	this	DT
cord-328957-mzi8504f	505	5	policy	policy	NN
cord-328957-mzi8504f	505	6	in	in	IN
cord-328957-mzi8504f	505	7	Israel	Israel	NNP
cord-328957-mzi8504f	505	8	during	during	IN
cord-328957-mzi8504f	505	9	the	the	DT
cord-328957-mzi8504f	505	10	school	school	NN
cord-328957-mzi8504f	505	11	opening	opening	NN
cord-328957-mzi8504f	505	12	which	which	WDT
cord-328957-mzi8504f	505	13	551	551	CD
cord-328957-mzi8504f	505	14	take	take	VB
cord-328957-mzi8504f	505	15	place	place	NN
cord-328957-mzi8504f	505	16	in	in	IN
cord-328957-mzi8504f	505	17	September	September	NNP
cord-328957-mzi8504f	505	18	1	1	CD
cord-328957-mzi8504f	505	19	show	show	VBP
cord-328957-mzi8504f	505	20	that	that	IN
cord-328957-mzi8504f	505	21	the	the	DT
cord-328957-mzi8504f	505	22	R	r	NN
cord-328957-mzi8504f	505	23	0	0	CD
cord-328957-mzi8504f	505	24	can	can	MD
cord-328957-mzi8504f	505	25	be	be	VB
cord-328957-mzi8504f	505	26	reduced	reduce	VBN
cord-328957-mzi8504f	505	27	by	by	IN
cord-328957-mzi8504f	505	28	0.83	0.83	CD
cord-328957-mzi8504f	505	29	in	in	IN
cord-328957-mzi8504f	505	30	comparison	comparison	NN
cord-328957-mzi8504f	505	31	to	to	IN
cord-328957-mzi8504f	505	32	552	552	CD
cord-328957-mzi8504f	505	33	a	a	DT
cord-328957-mzi8504f	505	34	policy	policy	NN
cord-328957-mzi8504f	505	35	in	in	IN
cord-328957-mzi8504f	505	36	which	which	WDT
cord-328957-mzi8504f	505	37	children	child	NNS
cord-328957-mzi8504f	505	38	go	go	VBP
cord-328957-mzi8504f	505	39	to	to	IN
cord-328957-mzi8504f	505	40	school	school	NN
cord-328957-mzi8504f	505	41	every	every	DT
cord-328957-mzi8504f	505	42	other	other	JJ
cord-328957-mzi8504f	505	43	day	day	NN
cord-328957-mzi8504f	505	44	for	for	IN
cord-328957-mzi8504f	505	45	five	five	CD
cord-328957-mzi8504f	505	46	hours	hour	NNS
cord-328957-mzi8504f	505	47	,	,	,
cord-328957-mzi8504f	505	48	as	as	IN
cord-328957-mzi8504f	505	49	shown	show	VBN
cord-328957-mzi8504f	505	50	in	in	IN
cord-328957-mzi8504f	505	51	Fig	Fig	NNP
cord-328957-mzi8504f	505	52	553	553	CD
cord-328957-mzi8504f	505	53	 	 	_SP
cord-328957-mzi8504f	505	54	11	11	CD
cord-328957-mzi8504f	505	55	.	.	.
cord-328957-mzi8504f	506	1	Also	also	RB
cord-328957-mzi8504f	506	2	,	,	,
cord-328957-mzi8504f	506	3	if	if	IN
cord-328957-mzi8504f	506	4	at	at	RB
cord-328957-mzi8504f	506	5	least	least	JJS
cord-328957-mzi8504f	506	6	half	half	NN
cord-328957-mzi8504f	506	7	of	of	IN
cord-328957-mzi8504f	506	8	the	the	DT
cord-328957-mzi8504f	506	9	adult	adult	NN
cord-328957-mzi8504f	506	10	population	population	NN
cord-328957-mzi8504f	506	11	will	will	MD
cord-328957-mzi8504f	506	12	be	be	VB
cord-328957-mzi8504f	506	13	in	in	IN
cord-328957-mzi8504f	506	14	lockdown	lockdown	NN
cord-328957-mzi8504f	506	15	the	the	DT
cord-328957-mzi8504f	506	16	influence	influence	NN
cord-328957-mzi8504f	506	17	of	of	IN
cord-328957-mzi8504f	506	18	the	the	DT
cord-328957-mzi8504f	506	19	554	554	CD
cord-328957-mzi8504f	506	20	schools	school	NNS
cord-328957-mzi8504f	506	21	on	on	IN
cord-328957-mzi8504f	506	22	the	the	DT
cord-328957-mzi8504f	506	23	infection	infection	NN
cord-328957-mzi8504f	506	24	rate	rate	NN
cord-328957-mzi8504f	506	25	will	will	MD
cord-328957-mzi8504f	506	26	be	be	VB
cord-328957-mzi8504f	506	27	relatively	relatively	RB
cord-328957-mzi8504f	506	28	small	small	JJ
cord-328957-mzi8504f	506	29	as	as	IN
cord-328957-mzi8504f	506	30	shown	show	VBN
cord-328957-mzi8504f	506	31	in	in	IN
cord-328957-mzi8504f	506	32	Fig	Fig	NNP
cord-328957-mzi8504f	506	33	8b	8b	NN
cord-328957-mzi8504f	506	34	.	.	.
cord-328957-mzi8504f	506	35	 	 	_SP
cord-328957-mzi8504f	507	1	In	in	IN
cord-328957-mzi8504f	507	2	the	the	DT
cord-328957-mzi8504f	507	3	case	case	NN
cord-328957-mzi8504f	507	4	of	of	IN
cord-328957-mzi8504f	507	5	a	a	DT
cord-328957-mzi8504f	507	6	future	future	JJ
cord-328957-mzi8504f	507	7	pandemic	pandemic	NN
cord-328957-mzi8504f	507	8	virus	virus	NN
cord-328957-mzi8504f	507	9	,	,	,
cord-328957-mzi8504f	507	10	researchers	researcher	NNS
cord-328957-mzi8504f	507	11	will	will	MD
cord-328957-mzi8504f	507	12	be	be	VB
cord-328957-mzi8504f	507	13	able	able	JJ
cord-328957-mzi8504f	507	14	to	to	TO
cord-328957-mzi8504f	507	15	use	use	VB
cord-328957-mzi8504f	507	16	our	-PRON-	PRP$
cord-328957-mzi8504f	507	17	approach	approach	NN
cord-328957-mzi8504f	507	18	556	556	CD
cord-328957-mzi8504f	507	19	to	to	TO
cord-328957-mzi8504f	507	20	predict	predict	VB
cord-328957-mzi8504f	507	21	the	the	DT
cord-328957-mzi8504f	507	22	exact	exact	JJ
cord-328957-mzi8504f	507	23	consequences	consequence	NNS
cord-328957-mzi8504f	507	24	of	of	IN
cord-328957-mzi8504f	507	25	choosing	choose	VBG
cord-328957-mzi8504f	507	26	"	"	``
cord-328957-mzi8504f	507	27	Lockdown	lockdown	NN
cord-328957-mzi8504f	507	28	"	"	''
cord-328957-mzi8504f	507	29	strategies	strategy	NNS
cord-328957-mzi8504f	507	30	,	,	,
cord-328957-mzi8504f	507	31	especially	especially	RB
cord-328957-mzi8504f	507	32	those	those	DT
cord-328957-mzi8504f	507	33	557	557	CD
cord-328957-mzi8504f	507	34	needed	need	VBD
cord-328957-mzi8504f	507	35	for	for	IN
cord-328957-mzi8504f	507	36	pandemics	pandemic	NNS
cord-328957-mzi8504f	507	37	with	with	IN
cord-328957-mzi8504f	507	38	a	a	DT
cord-328957-mzi8504f	507	39	lack	lack	NN
cord-328957-mzi8504f	507	40	of	of	IN
cord-328957-mzi8504f	507	41	immunity	immunity	NN
cord-328957-mzi8504f	507	42	in	in	IN
cord-328957-mzi8504f	507	43	the	the	DT
cord-328957-mzi8504f	507	44	world	world	NN
cord-328957-mzi8504f	507	45	's	's	POS
cord-328957-mzi8504f	507	46	population	population	NN
cord-328957-mzi8504f	507	47	.	.	.
cord-328957-mzi8504f	508	1	Understanding	understand	VBG
cord-328957-mzi8504f	508	2	558	558	CD
cord-328957-mzi8504f	508	3	the	the	DT
cord-328957-mzi8504f	508	4	age	age	NN
cord-328957-mzi8504f	508	5	-	-	HYPH
cord-328957-mzi8504f	508	6	based	base	VBN
cord-328957-mzi8504f	508	7	dynamics	dynamic	NNS
cord-328957-mzi8504f	508	8	in	in	IN
cord-328957-mzi8504f	508	9	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	508	10	spread	spread	NN
cord-328957-mzi8504f	508	11	in	in	IN
cord-328957-mzi8504f	508	12	the	the	DT
cord-328957-mzi8504f	508	13	population	population	NN
cord-328957-mzi8504f	508	14	will	will	MD
cord-328957-mzi8504f	508	15	be	be	VB
cord-328957-mzi8504f	508	16	crucial	crucial	JJ
cord-328957-mzi8504f	508	17	for	for	IN
cord-328957-mzi8504f	508	18	the	the	DT
cord-328957-mzi8504f	508	19	559	559	CD
cord-328957-mzi8504f	508	20	development	development	NN
cord-328957-mzi8504f	508	21	of	of	IN
cord-328957-mzi8504f	508	22	an	an	DT
cord-328957-mzi8504f	508	23	optimal	optimal	JJ
cord-328957-mzi8504f	508	24	NPI	npi	NN
cord-328957-mzi8504f	508	25	policy	policy	NN
cord-328957-mzi8504f	508	26	,	,	,
cord-328957-mzi8504f	508	27	as	as	RB
cord-328957-mzi8504f	508	28	well	well	RB
cord-328957-mzi8504f	508	29	as	as	IN
cord-328957-mzi8504f	508	30	for	for	IN
cord-328957-mzi8504f	508	31	optimizing	optimize	VBG
cord-328957-mzi8504f	508	32	current	current	JJ
cord-328957-mzi8504f	508	33	polices	police	NNS
cord-328957-mzi8504f	508	34	and	and	CC
cord-328957-mzi8504f	508	35	560	560	CD
cord-328957-mzi8504f	508	36	analyzing	analyze	VBG
cord-328957-mzi8504f	508	37	clinical	clinical	JJ
cord-328957-mzi8504f	508	38	data	datum	NNS
cord-328957-mzi8504f	508	39	.	.	.
cord-328957-mzi8504f	509	1	The	the	DT
cord-328957-mzi8504f	509	2	further	further	JJ
cord-328957-mzi8504f	509	3	extensions	extension	NNS
cord-328957-mzi8504f	509	4	of	of	IN
cord-328957-mzi8504f	509	5	the	the	DT
cord-328957-mzi8504f	509	6	model	model	NN
cord-328957-mzi8504f	509	7	will	will	MD
cord-328957-mzi8504f	509	8	be	be	VB
cord-328957-mzi8504f	509	9	used	use	VBN
cord-328957-mzi8504f	509	10	to	to	TO
cord-328957-mzi8504f	509	11	learn	learn	VB
cord-328957-mzi8504f	509	12	how	how	WRB
cord-328957-mzi8504f	509	13	to	to	IN
cord-328957-mzi8504f	509	14	561	561	CD
cord-328957-mzi8504f	509	15	manage	manage	VB
cord-328957-mzi8504f	509	16	international	international	JJ
cord-328957-mzi8504f	509	17	travel	travel	NN
cord-328957-mzi8504f	509	18	between	between	IN
cord-328957-mzi8504f	509	19	countries	country	NNS
cord-328957-mzi8504f	509	20	with	with	IN
cord-328957-mzi8504f	509	21	a	a	DT
cord-328957-mzi8504f	509	22	range	range	NN
cord-328957-mzi8504f	509	23	of	of	IN
cord-328957-mzi8504f	509	24	healthcare	healthcare	NN
cord-328957-mzi8504f	509	25	system	system	NN
cord-328957-mzi8504f	509	26	abilities	abilitie	VBZ
cord-328957-mzi8504f	509	27	562	562	CD
cord-328957-mzi8504f	509	28	in	in	IN
cord-328957-mzi8504f	509	29	both	both	CC
cord-328957-mzi8504f	509	30	the	the	DT
cord-328957-mzi8504f	509	31	context	context	NN
cord-328957-mzi8504f	509	32	of	of	IN
cord-328957-mzi8504f	509	33	the	the	DT
cord-328957-mzi8504f	509	34	COVID-19	covid-19	JJ
cord-328957-mzi8504f	509	35	epidemic	epidemic	NN
cord-328957-mzi8504f	509	36	and	and	CC
cord-328957-mzi8504f	509	37	for	for	IN
cord-328957-mzi8504f	509	38	other	other	JJ
cord-328957-mzi8504f	509	39	epidemics	epidemic	NNS
cord-328957-mzi8504f	509	40	scenarios	scenario	NNS
cord-328957-mzi8504f	509	41	.	.	.
cord-328957-mzi8504f	510	1	November	November	NNP
cord-328957-mzi8504f	510	2	2	2	CD
cord-328957-mzi8504f	510	3	,	,	,
cord-328957-mzi8504f	510	4	2020	2020	CD
cord-328957-mzi8504f	510	5	25/28	25/28	CD
cord-328957-mzi8504f	510	6	.	.	.
cord-328957-mzi8504f	511	1	CC	CC	NNP
cord-328957-mzi8504f	511	2	-	-	HYPH
cord-328957-mzi8504f	511	3	BY	BY	NNP
cord-328957-mzi8504f	511	4	-	-	HYPH
cord-328957-mzi8504f	511	5	NC	NC	NNP
cord-328957-mzi8504f	511	6	-	-	HYPH
cord-328957-mzi8504f	511	7	ND	ND	NNP
cord-328957-mzi8504f	511	8	4.0	4.0	CD
cord-328957-mzi8504f	511	9	International	international	JJ
cord-328957-mzi8504f	511	10	license	license	NN
cord-328957-mzi8504f	511	11	It	-PRON-	PRP
cord-328957-mzi8504f	511	12	is	be	VBZ
cord-328957-mzi8504f	511	13	made	make	VBN
cord-328957-mzi8504f	511	14	available	available	JJ
cord-328957-mzi8504f	511	15	under	under	IN
cord-328957-mzi8504f	511	16	a	a	DT
cord-328957-mzi8504f	512	1	is	be	VBZ
cord-328957-mzi8504f	512	2	the	the	DT
cord-328957-mzi8504f	512	3	author	author	NN
cord-328957-mzi8504f	512	4	/	/	SYM
cord-328957-mzi8504f	512	5	funder	funder	NN
cord-328957-mzi8504f	512	6	,	,	,
cord-328957-mzi8504f	512	7	who	who	WP
cord-328957-mzi8504f	512	8	has	have	VBZ
cord-328957-mzi8504f	512	9	granted	grant	VBN
cord-328957-mzi8504f	512	10	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	512	11	a	a	DT
cord-328957-mzi8504f	512	12	license	license	NN
cord-328957-mzi8504f	512	13	to	to	TO
cord-328957-mzi8504f	512	14	display	display	VB
cord-328957-mzi8504f	512	15	the	the	DT
cord-328957-mzi8504f	512	16	preprint	preprint	NN
cord-328957-mzi8504f	512	17	in	in	IN
cord-328957-mzi8504f	512	18	perpetuity	perpetuity	NN
cord-328957-mzi8504f	512	19	.	.	.
cord-328957-mzi8504f	513	1	(	(	-LRB-
cord-328957-mzi8504f	513	2	which	which	WDT
cord-328957-mzi8504f	513	3	was	be	VBD
cord-328957-mzi8504f	513	4	not	not	RB
cord-328957-mzi8504f	513	5	certified	certify	VBN
cord-328957-mzi8504f	513	6	by	by	IN
cord-328957-mzi8504f	513	7	peer	peer	NN
cord-328957-mzi8504f	513	8	review	review	NN
cord-328957-mzi8504f	513	9	)	)	-RRB-
cord-328957-mzi8504f	514	1	The	the	DT
cord-328957-mzi8504f	514	2	copyright	copyright	NN
cord-328957-mzi8504f	514	3	holder	holder	NN
cord-328957-mzi8504f	514	4	for	for	IN
cord-328957-mzi8504f	514	5	this	this	DT
cord-328957-mzi8504f	514	6	preprint	preprint	NN
cord-328957-mzi8504f	514	7	this	this	DT
cord-328957-mzi8504f	514	8	version	version	NN
cord-328957-mzi8504f	514	9	posted	post	VBN
cord-328957-mzi8504f	514	10	November	November	NNP
cord-328957-mzi8504f	514	11	4	4	CD
cord-328957-mzi8504f	514	12	,	,	,
cord-328957-mzi8504f	514	13	2020	2020	CD
cord-328957-mzi8504f	514	14	.	.	.
cord-328957-mzi8504f	515	1	;	;	:
cord-328957-mzi8504f	515	2	https://doi.org/10.1101/2020.11.02.20224584	https://doi.org/10.1101/2020.11.02.20224584	NNP
cord-328957-mzi8504f	515	3	doi	doi	NN
cord-328957-mzi8504f	515	4	:	:	:
cord-328957-mzi8504f	516	1	medRxiv	medRxiv	NNP
cord-328957-mzi8504f	516	2	preprint	preprint	NN
cord-328957-mzi8504f	516	3	Clinical	clinical	JJ
cord-328957-mzi8504f	516	4	progression	progression	NN
cord-328957-mzi8504f	516	5	of	of	IN
cord-328957-mzi8504f	516	6	patients	patient	NNS
cord-328957-mzi8504f	516	7	with	with	IN
cord-328957-mzi8504f	516	8	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	516	9	in	in	IN
cord-328957-mzi8504f	516	10	A	a	DT
cord-328957-mzi8504f	516	11	familial	familial	JJ
cord-328957-mzi8504f	516	12	cluster	cluster	NN
cord-328957-mzi8504f	516	13	of	of	IN
cord-328957-mzi8504f	516	14	pneumonia	pneumonia	NN
cord-328957-mzi8504f	516	15	associated	associate	VBN
cord-328957-mzi8504f	516	16	with	with	IN
cord-328957-mzi8504f	516	17	the	the	DT
cord-328957-mzi8504f	516	18	2019	2019	CD
cord-328957-mzi8504f	516	19	novel	novel	NN
cord-328957-mzi8504f	516	20	coronavirus	coronavirus	NN
cord-328957-mzi8504f	516	21	indicating	indicate	VBG
cord-328957-mzi8504f	516	22	person	person	NN
cord-328957-mzi8504f	516	23	-	-	HYPH
cord-328957-mzi8504f	516	24	toperson	toperson	NN
cord-328957-mzi8504f	516	25	transmission	transmission	NN
cord-328957-mzi8504f	516	26	:	:	:
cord-328957-mzi8504f	516	27	a	a	DT
cord-328957-mzi8504f	516	28	study	study	NN
cord-328957-mzi8504f	516	29	of	of	IN
cord-328957-mzi8504f	516	30	a	a	DT
cord-328957-mzi8504f	516	31	family	family	NN
cord-328957-mzi8504f	516	32	cluster	cluster	NN
cord-328957-mzi8504f	516	33	Note	note	VB
cord-328957-mzi8504f	516	34	from	from	IN
cord-328957-mzi8504f	516	35	the	the	DT
cord-328957-mzi8504f	516	36	editors	editor	NNS
cord-328957-mzi8504f	517	1	:	:	:
cord-328957-mzi8504f	517	2	World	World	NNP
cord-328957-mzi8504f	517	3	Health	Health	NNP
cord-328957-mzi8504f	517	4	Organization	Organization	NNP
cord-328957-mzi8504f	517	5	declares	declare	VBZ
cord-328957-mzi8504f	517	6	novel	novel	JJ
cord-328957-mzi8504f	517	7	coronavirus	coronavirus	NN
cord-328957-mzi8504f	517	8	(	(	-LRB-
cord-328957-mzi8504f	517	9	2019-nCoV	2019-ncov	CD
cord-328957-mzi8504f	517	10	)	)	-RRB-
cord-328957-mzi8504f	517	11	sixth	sixth	JJ
cord-328957-mzi8504f	517	12	public	public	JJ
cord-328957-mzi8504f	517	13	health	health	NN
cord-328957-mzi8504f	517	14	emergency	emergency	NN
cord-328957-mzi8504f	517	15	of	of	IN
cord-328957-mzi8504f	517	16	international	international	JJ
cord-328957-mzi8504f	517	17	concern	concern	NN
cord-328957-mzi8504f	517	18	Epidemic	Epidemic	NNP
cord-328957-mzi8504f	517	19	spread	spread	VBD
cord-328957-mzi8504f	517	20	in	in	IN
cord-328957-mzi8504f	517	21	human	human	JJ
cord-328957-mzi8504f	517	22	networks	network	NNS
cord-328957-mzi8504f	517	23	Epidemiological	epidemiological	JJ
cord-328957-mzi8504f	517	24	Characteristics	characteristic	NNS
cord-328957-mzi8504f	517	25	of	of	IN
cord-328957-mzi8504f	517	26	2143	2143	CD
cord-328957-mzi8504f	517	27	Pediatric	Pediatric	NNP
cord-328957-mzi8504f	517	28	Patients	patient	NNS
cord-328957-mzi8504f	518	1	With	with	IN
cord-328957-mzi8504f	518	2	2019	2019	CD
cord-328957-mzi8504f	518	3	Coronavirus	Coronavirus	NNP
cord-328957-mzi8504f	518	4	Disease	Disease	NNP
cord-328957-mzi8504f	518	5	in	in	IN
cord-328957-mzi8504f	518	6	China	China	NNP
cord-328957-mzi8504f	518	7	Clinical	clinical	JJ
cord-328957-mzi8504f	518	8	and	and	CC
cord-328957-mzi8504f	518	9	epidemiological	epidemiological	JJ
cord-328957-mzi8504f	518	10	characteristics	characteristic	NNS
cord-328957-mzi8504f	518	11	of	of	IN
cord-328957-mzi8504f	518	12	1420	1420	CD
cord-328957-mzi8504f	518	13	European	european	JJ
cord-328957-mzi8504f	518	14	patients	patient	NNS
cord-328957-mzi8504f	518	15	with	with	IN
cord-328957-mzi8504f	518	16	mild	mild	NN
cord-328957-mzi8504f	518	17	-	-	HYPH
cord-328957-mzi8504f	518	18	to	to	IN
cord-328957-mzi8504f	518	19	-	-	HYPH
cord-328957-mzi8504f	518	20	moderate	moderate	JJ
cord-328957-mzi8504f	518	21	coronavirus	coronavirus	NN
cord-328957-mzi8504f	518	22	disease	disease	NN
cord-328957-mzi8504f	518	23	2019	2019	CD
cord-328957-mzi8504f	518	24	Effects	effect	NNS
cord-328957-mzi8504f	518	25	of	of	IN
cord-328957-mzi8504f	518	26	age	age	NN
cord-328957-mzi8504f	518	27	and	and	CC
cord-328957-mzi8504f	518	28	sex	sex	NN
cord-328957-mzi8504f	518	29	on	on	IN
cord-328957-mzi8504f	518	30	recovery	recovery	NN
cord-328957-mzi8504f	518	31	from	from	IN
cord-328957-mzi8504f	518	32	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	518	33	:	:	:
cord-328957-mzi8504f	518	34	Analysis	analysis	NN
cord-328957-mzi8504f	518	35	of	of	IN
cord-328957-mzi8504f	518	36	5769	5769	CD
cord-328957-mzi8504f	518	37	Israeli	israeli	JJ
cord-328957-mzi8504f	518	38	patients	patient	NNS
cord-328957-mzi8504f	518	39	Early	early	JJ
cord-328957-mzi8504f	518	40	antiviral	antiviral	JJ
cord-328957-mzi8504f	518	41	treatment	treatment	NN
cord-328957-mzi8504f	518	42	contributes	contribute	VBZ
cord-328957-mzi8504f	518	43	to	to	TO
cord-328957-mzi8504f	518	44	alleviate	alleviate	VB
cord-328957-mzi8504f	518	45	the	the	DT
cord-328957-mzi8504f	518	46	severity	severity	NN
cord-328957-mzi8504f	518	47	and	and	CC
cord-328957-mzi8504f	518	48	improve	improve	VB
cord-328957-mzi8504f	518	49	the	the	DT
cord-328957-mzi8504f	518	50	prognosis	prognosis	NN
cord-328957-mzi8504f	518	51	of	of	IN
cord-328957-mzi8504f	518	52	patients	patient	NNS
cord-328957-mzi8504f	518	53	with	with	IN
cord-328957-mzi8504f	518	54	novel	novel	JJ
cord-328957-mzi8504f	518	55	coronavirus	coronavirus	NN
cord-328957-mzi8504f	518	56	disease	disease	NN
cord-328957-mzi8504f	518	57	(	(	-LRB-
cord-328957-mzi8504f	518	58	COVID-19	covid-19	VB
cord-328957-mzi8504f	518	59	)	)	-RRB-
cord-328957-mzi8504f	518	60	Mathematical	mathematical	JJ
cord-328957-mzi8504f	518	61	models	model	NNS
cord-328957-mzi8504f	518	62	of	of	IN
cord-328957-mzi8504f	518	63	SIR	SIR	NNP
cord-328957-mzi8504f	518	64	disease	disease	NN
cord-328957-mzi8504f	518	65	spread	spread	VBD
cord-328957-mzi8504f	518	66	with	with	IN
cord-328957-mzi8504f	518	67	combined	combine	VBN
cord-328957-mzi8504f	518	68	non	non	JJ
cord-328957-mzi8504f	518	69	-	-	JJ
cord-328957-mzi8504f	518	70	sexual	sexual	JJ
cord-328957-mzi8504f	518	71	and	and	CC
cord-328957-mzi8504f	518	72	sexual	sexual	JJ
cord-328957-mzi8504f	518	73	transmission	transmission	NN
cord-328957-mzi8504f	518	74	routes	route	NNS
cord-328957-mzi8504f	518	75	.	.	.
cord-328957-mzi8504f	519	1	Infectious	Infectious	NNP
cord-328957-mzi8504f	519	2	Disease	Disease	NNP
cord-328957-mzi8504f	519	3	Modelling	Modelling	NNP
cord-328957-mzi8504f	519	4	Mathematical	mathematical	JJ
cord-328957-mzi8504f	519	5	modelling	modelling	NN
cord-328957-mzi8504f	519	6	of	of	IN
cord-328957-mzi8504f	519	7	COVID-19	covid-19	JJ
cord-328957-mzi8504f	519	8	transmission	transmission	NN
cord-328957-mzi8504f	519	9	and	and	CC
cord-328957-mzi8504f	519	10	mitigation	mitigation	NN
cord-328957-mzi8504f	519	11	strategies	strategy	NNS
cord-328957-mzi8504f	519	12	in	in	IN
cord-328957-mzi8504f	519	13	the	the	DT
cord-328957-mzi8504f	519	14	population	population	NN
cord-328957-mzi8504f	519	15	of	of	IN
cord-328957-mzi8504f	519	16	Ontario	Ontario	NNP
cord-328957-mzi8504f	519	17	Statistics	Statistics	NNP
cord-328957-mzi8504f	519	18	-	-	HYPH
cord-328957-mzi8504f	519	19	based	base	VBN
cord-328957-mzi8504f	519	20	Predictions	prediction	NNS
cord-328957-mzi8504f	519	21	of	of	IN
cord-328957-mzi8504f	519	22	Coronavirus	Coronavirus	NNP
cord-328957-mzi8504f	519	23	Epidemic	Epidemic	NNP
cord-328957-mzi8504f	519	24	Spreading	spread	VBG
cord-328957-mzi8504f	519	25	in	in	IN
cord-328957-mzi8504f	519	26	Mainland	Mainland	NNP
cord-328957-mzi8504f	519	27	China	China	NNP
cord-328957-mzi8504f	519	28	Mathematical	Mathematical	NNP
cord-328957-mzi8504f	519	29	modeling	modeling	NN
cord-328957-mzi8504f	519	30	of	of	IN
cord-328957-mzi8504f	519	31	the	the	DT
cord-328957-mzi8504f	519	32	spread	spread	NN
cord-328957-mzi8504f	519	33	of	of	IN
cord-328957-mzi8504f	519	34	the	the	DT
cord-328957-mzi8504f	519	35	coronavirus	coronavirus	NN
cord-328957-mzi8504f	519	36	disease	disease	NN
cord-328957-mzi8504f	519	37	2019	2019	CD
cord-328957-mzi8504f	519	38	(	(	-LRB-
cord-328957-mzi8504f	519	39	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	519	40	)	)	-RRB-
cord-328957-mzi8504f	519	41	taking	take	VBG
cord-328957-mzi8504f	519	42	into	into	IN
cord-328957-mzi8504f	519	43	account	account	NN
cord-328957-mzi8504f	519	44	the	the	DT
cord-328957-mzi8504f	519	45	undetected	undetected	JJ
cord-328957-mzi8504f	519	46	infections	infection	NNS
cord-328957-mzi8504f	519	47	.	.	.
cord-328957-mzi8504f	520	1	The	the	DT
cord-328957-mzi8504f	520	2	case	case	NN
cord-328957-mzi8504f	520	3	of	of	IN
cord-328957-mzi8504f	520	4	China	China	NNP
cord-328957-mzi8504f	520	5	.	.	.
cord-328957-mzi8504f	521	1	Communications	communication	NNS
cord-328957-mzi8504f	521	2	in	in	IN
cord-328957-mzi8504f	521	3	nonlinear	nonlinear	JJ
cord-328957-mzi8504f	521	4	science	science	NN
cord-328957-mzi8504f	521	5	and	and	CC
cord-328957-mzi8504f	521	6	numerical	numerical	JJ
cord-328957-mzi8504f	521	7	simulation	simulation	NN
cord-328957-mzi8504f	521	8	Artificial	Artificial	NNP
cord-328957-mzi8504f	521	9	Intelligence	Intelligence	NNP
cord-328957-mzi8504f	521	10	(	(	-LRB-
cord-328957-mzi8504f	521	11	AI	AI	NNP
cord-328957-mzi8504f	521	12	)	)	-RRB-
cord-328957-mzi8504f	522	1	Provided	provide	VBN
cord-328957-mzi8504f	522	2	Early	Early	NNP
cord-328957-mzi8504f	522	3	Detection	Detection	NNP
cord-328957-mzi8504f	522	4	of	of	IN
cord-328957-mzi8504f	522	5	the	the	DT
cord-328957-mzi8504f	522	6	Coronavirus	Coronavirus	NNP
cord-328957-mzi8504f	522	7	(	(	-LRB-
cord-328957-mzi8504f	522	8	COVID-19	covid-19	VB
cord-328957-mzi8504f	522	9	)	)	-RRB-
cord-328957-mzi8504f	522	10	in	in	IN
cord-328957-mzi8504f	522	11	China	China	NNP
cord-328957-mzi8504f	522	12	and	and	CC
cord-328957-mzi8504f	522	13	Will	Will	MD
cord-328957-mzi8504f	522	14	Influence	influence	VB
cord-328957-mzi8504f	522	15	Future	future	NN
cord-328957-mzi8504f	523	1	Urban	Urban	NNP
cord-328957-mzi8504f	523	2	Health	Health	NNP
cord-328957-mzi8504f	523	3	Policy	Policy	NNP
cord-328957-mzi8504f	523	4	Internationally	internationally	RB
cord-328957-mzi8504f	523	5	Imitation	imitation	NN
cord-328957-mzi8504f	523	6	dynamics	dynamic	NNS
cord-328957-mzi8504f	523	7	in	in	IN
cord-328957-mzi8504f	523	8	the	the	DT
cord-328957-mzi8504f	523	9	mitigation	mitigation	NN
cord-328957-mzi8504f	523	10	of	of	IN
cord-328957-mzi8504f	523	11	the	the	DT
cord-328957-mzi8504f	523	12	novel	novel	JJ
cord-328957-mzi8504f	523	13	coronavirus	coronavirus	NN
cord-328957-mzi8504f	523	14	disease	disease	NN
cord-328957-mzi8504f	523	15	(	(	-LRB-
cord-328957-mzi8504f	523	16	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	523	17	)	)	-RRB-
cord-328957-mzi8504f	523	18	outbreak	outbreak	NN
cord-328957-mzi8504f	523	19	in	in	IN
cord-328957-mzi8504f	523	20	Wuhan	Wuhan	NNP
cord-328957-mzi8504f	523	21	Impact	Impact	NNP
cord-328957-mzi8504f	523	22	of	of	IN
cord-328957-mzi8504f	523	23	lockdown	lockdown	NN
cord-328957-mzi8504f	523	24	on	on	IN
cord-328957-mzi8504f	523	25	COVID-19	covid-19	JJ
cord-328957-mzi8504f	523	26	epidemic	epidemic	NN
cord-328957-mzi8504f	523	27	in	in	IN
cord-328957-mzi8504f	523	28	Ile	Ile	NNP
cord-328957-mzi8504f	523	29	-	-	HYPH
cord-328957-mzi8504f	523	30	de	de	NNP
cord-328957-mzi8504f	523	31	-	-	HYPH
cord-328957-mzi8504f	523	32	France	France	NNP
cord-328957-mzi8504f	523	33	and	and	CC
cord-328957-mzi8504f	523	34	possible	possible	JJ
cord-328957-mzi8504f	523	35	exit	exit	NN
cord-328957-mzi8504f	523	36	strategies	strategy	NNS
cord-328957-mzi8504f	523	37	A	A	NNP
cord-328957-mzi8504f	523	38	Case	Case	NNP
cord-328957-mzi8504f	523	39	Series	Series	NNP
cord-328957-mzi8504f	523	40	of	of	IN
cord-328957-mzi8504f	523	41	Children	Children	NNP
cord-328957-mzi8504f	523	42	With	with	IN
cord-328957-mzi8504f	523	43	2019	2019	CD
cord-328957-mzi8504f	523	44	Novel	Novel	NNP
cord-328957-mzi8504f	523	45	Coronavirus	Coronavirus	NNP
cord-328957-mzi8504f	523	46	Infection	infection	NN
cord-328957-mzi8504f	523	47	:	:	:
cord-328957-mzi8504f	523	48	Clinical	clinical	JJ
cord-328957-mzi8504f	523	49	and	and	CC
cord-328957-mzi8504f	523	50	Epidemiological	Epidemiological	NNP
cord-328957-mzi8504f	523	51	Features	Features	NNPS
cord-328957-mzi8504f	523	52	Estimation	Estimation	NNP
cord-328957-mzi8504f	523	53	of	of	IN
cord-328957-mzi8504f	523	54	the	the	DT
cord-328957-mzi8504f	523	55	asymptomatic	asymptomatic	JJ
cord-328957-mzi8504f	523	56	ratio	ratio	NN
cord-328957-mzi8504f	523	57	of	of	IN
cord-328957-mzi8504f	523	58	novel	novel	JJ
cord-328957-mzi8504f	523	59	coronavirus	coronavirus	NN
cord-328957-mzi8504f	523	60	infections	infection	NNS
cord-328957-mzi8504f	523	61	(	(	-LRB-
cord-328957-mzi8504f	523	62	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	523	63	)	)	-RRB-
cord-328957-mzi8504f	523	64	COVID-19	covid-19	JJ
cord-328957-mzi8504f	523	65	epidemic	epidemic	NN
cord-328957-mzi8504f	523	66	:	:	:
cord-328957-mzi8504f	523	67	Disease	Disease	NNP
cord-328957-mzi8504f	523	68	characteristics	characteristic	NNS
cord-328957-mzi8504f	523	69	in	in	IN
cord-328957-mzi8504f	523	70	children	child	NNS
cord-328957-mzi8504f	523	71	Simulating	simulate	VBG
cord-328957-mzi8504f	523	72	the	the	DT
cord-328957-mzi8504f	523	73	spread	spread	NN
cord-328957-mzi8504f	523	74	of	of	IN
cord-328957-mzi8504f	523	75	COVID-19	covid-19	NN
cord-328957-mzi8504f	523	76	via	via	IN
cord-328957-mzi8504f	523	77	a	a	DT
cord-328957-mzi8504f	523	78	spatially	spatially	RB
cord-328957-mzi8504f	523	79	-	-	HYPH
cord-328957-mzi8504f	523	80	resolved	resolve	VBN
cord-328957-mzi8504f	523	81	susceptible	susceptible	JJ
cord-328957-mzi8504f	523	82	-	-	HYPH
cord-328957-mzi8504f	523	83	exposed	expose	VBN
cord-328957-mzi8504f	523	84	-	-	HYPH
cord-328957-mzi8504f	523	85	infected	infect	VBN
cord-328957-mzi8504f	523	86	-	-	HYPH
cord-328957-mzi8504f	523	87	recovered	recover	VBN
cord-328957-mzi8504f	523	88	-	-	HYPH
cord-328957-mzi8504f	523	89	deceased	deceased	JJ
cord-328957-mzi8504f	523	90	(	(	-LRB-
cord-328957-mzi8504f	523	91	SEIRD	SEIRD	NNP
cord-328957-mzi8504f	523	92	)	)	-RRB-
cord-328957-mzi8504f	523	93	model	model	NN
cord-328957-mzi8504f	523	94	with	with	IN
cord-328957-mzi8504f	523	95	heterogeneous	heterogeneous	JJ
cord-328957-mzi8504f	523	96	diffusion	diffusion	NN
cord-328957-mzi8504f	523	97	System	System	NNP
cord-328957-mzi8504f	523	98	inference	inference	NN
cord-328957-mzi8504f	523	99	for	for	IN
cord-328957-mzi8504f	523	100	the	the	DT
cord-328957-mzi8504f	523	101	spatio	spatio	JJ
cord-328957-mzi8504f	523	102	-	-	HYPH
cord-328957-mzi8504f	523	103	temporal	temporal	JJ
cord-328957-mzi8504f	523	104	evolution	evolution	NN
cord-328957-mzi8504f	523	105	of	of	IN
cord-328957-mzi8504f	523	106	infectious	infectious	JJ
cord-328957-mzi8504f	523	107	diseases	disease	NNS
cord-328957-mzi8504f	523	108	:	:	:
cord-328957-mzi8504f	523	109	Michigan	Michigan	NNP
cord-328957-mzi8504f	523	110	in	in	IN
cord-328957-mzi8504f	523	111	the	the	DT
cord-328957-mzi8504f	523	112	time	time	NN
cord-328957-mzi8504f	523	113	of	of	IN
cord-328957-mzi8504f	523	114	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	523	115	A	a	DT
cord-328957-mzi8504f	523	116	contribution	contribution	NN
cord-328957-mzi8504f	523	117	to	to	IN
cord-328957-mzi8504f	523	118	the	the	DT
cord-328957-mzi8504f	523	119	mathematical	mathematical	JJ
cord-328957-mzi8504f	523	120	theory	theory	NN
cord-328957-mzi8504f	523	121	of	of	IN
cord-328957-mzi8504f	523	122	epidemics	epidemic	NNS
cord-328957-mzi8504f	523	123	Rational	rational	JJ
cord-328957-mzi8504f	523	124	evaluation	evaluation	NN
cord-328957-mzi8504f	523	125	of	of	IN
cord-328957-mzi8504f	523	126	various	various	JJ
cord-328957-mzi8504f	523	127	epidemic	epidemic	NN
cord-328957-mzi8504f	523	128	models	model	NNS
cord-328957-mzi8504f	523	129	based	base	VBN
cord-328957-mzi8504f	523	130	on	on	IN
cord-328957-mzi8504f	523	131	the	the	DT
cord-328957-mzi8504f	523	132	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	523	133	data	datum	NNS
cord-328957-mzi8504f	523	134	of	of	IN
cord-328957-mzi8504f	523	135	China	China	NNP
cord-328957-mzi8504f	523	136	.	.	.
cord-328957-mzi8504f	524	1	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	524	2	Modeling	model	VBG
cord-328957-mzi8504f	524	3	seasonal	seasonal	JJ
cord-328957-mzi8504f	524	4	influenze	influenze	NN
cord-328957-mzi8504f	524	5	in	in	IN
cord-328957-mzi8504f	524	6	Israel	Israel	NNP
cord-328957-mzi8504f	524	7	Births	Births	NNP
cord-328957-mzi8504f	524	8	:	:	:
cord-328957-mzi8504f	524	9	Final	Final	NNP
cord-328957-mzi8504f	524	10	Data	datum	NNS
cord-328957-mzi8504f	524	11	for	for	IN
cord-328957-mzi8504f	524	12	2018	2018	CD
cord-328957-mzi8504f	524	13	Deaths	death	NNS
cord-328957-mzi8504f	524	14	:	:	:
cord-328957-mzi8504f	524	15	Final	Final	NNP
cord-328957-mzi8504f	524	16	Data	datum	NNS
cord-328957-mzi8504f	524	17	for	for	IN
cord-328957-mzi8504f	524	18	2017	2017	CD
cord-328957-mzi8504f	524	19	Cardiovascular	Cardiovascular	NNP
cord-328957-mzi8504f	524	20	Disease	Disease	NNP
cord-328957-mzi8504f	524	21	,	,	,
cord-328957-mzi8504f	524	22	Drug	Drug	NNP
cord-328957-mzi8504f	524	23	Therapy	Therapy	NNP
cord-328957-mzi8504f	524	24	,	,	,
cord-328957-mzi8504f	524	25	and	and	CC
cord-328957-mzi8504f	524	26	Mortality	mortality	NN
cord-328957-mzi8504f	524	27	in	in	IN
cord-328957-mzi8504f	524	28	Covid-19	Covid-19	NNP
cord-328957-mzi8504f	524	29	Characteristics	Characteristics	NNPS
cord-328957-mzi8504f	524	30	of	of	IN
cord-328957-mzi8504f	524	31	and	and	CC
cord-328957-mzi8504f	524	32	important	important	JJ
cord-328957-mzi8504f	524	33	lessons	lesson	NNS
cord-328957-mzi8504f	524	34	from	from	IN
cord-328957-mzi8504f	524	35	the	the	DT
cord-328957-mzi8504f	524	36	coronavirus	coronavirus	NN
cord-328957-mzi8504f	524	37	disease	disease	NN
cord-328957-mzi8504f	524	38	2019	2019	CD
cord-328957-mzi8504f	524	39	(	(	-LRB-
cord-328957-mzi8504f	524	40	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	524	41	)	)	-RRB-
cord-328957-mzi8504f	524	42	outbreak	outbreak	NN
cord-328957-mzi8504f	524	43	in	in	IN
cord-328957-mzi8504f	524	44	China	China	NNP
cord-328957-mzi8504f	524	45	:	:	:
cord-328957-mzi8504f	524	46	summary	summary	NN
cord-328957-mzi8504f	524	47	of	of	IN
cord-328957-mzi8504f	524	48	a	a	DT
cord-328957-mzi8504f	524	49	report	report	NN
cord-328957-mzi8504f	524	50	of	of	IN
cord-328957-mzi8504f	524	51	72314	72314	CD
cord-328957-mzi8504f	524	52	cases	case	NNS
cord-328957-mzi8504f	524	53	from	from	IN
cord-328957-mzi8504f	524	54	the	the	DT
cord-328957-mzi8504f	524	55	Chinese	Chinese	NNP
cord-328957-mzi8504f	524	56	Center	Center	NNP
cord-328957-mzi8504f	524	57	for	for	IN
cord-328957-mzi8504f	524	58	Disease	Disease	NNP
cord-328957-mzi8504f	524	59	Control	Control	NNP
cord-328957-mzi8504f	524	60	and	and	CC
cord-328957-mzi8504f	524	61	Prevention	Prevention	NNP
cord-328957-mzi8504f	524	62	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	524	63	in	in	IN
cord-328957-mzi8504f	524	64	children	child	NNS
cord-328957-mzi8504f	524	65	:	:	:
cord-328957-mzi8504f	524	66	the	the	DT
cord-328957-mzi8504f	524	67	link	link	NN
cord-328957-mzi8504f	524	68	in	in	IN
cord-328957-mzi8504f	524	69	the	the	DT
cord-328957-mzi8504f	524	70	transmission	transmission	NN
cord-328957-mzi8504f	524	71	chain	chain	NN
cord-328957-mzi8504f	524	72	Non	non	JJ
cord-328957-mzi8504f	524	73	-	-	JJ
cord-328957-mzi8504f	524	74	homogeneous	homogeneous	JJ
cord-328957-mzi8504f	524	75	Markov	Markov	NNP
cord-328957-mzi8504f	524	76	Chains	Chains	NNP
cord-328957-mzi8504f	524	77	Reproduction	Reproduction	NNP
cord-328957-mzi8504f	524	78	numbers	number	NNS
cord-328957-mzi8504f	524	79	and	and	CC
cord-328957-mzi8504f	524	80	subthreshold	subthreshold	VBP
cord-328957-mzi8504f	524	81	endemic	endemic	JJ
cord-328957-mzi8504f	524	82	equilibria	equilibrium	NNS
cord-328957-mzi8504f	524	83	for	for	IN
cord-328957-mzi8504f	524	84	compartmental	compartmental	JJ
cord-328957-mzi8504f	524	85	models	model	NNS
cord-328957-mzi8504f	524	86	of	of	IN
cord-328957-mzi8504f	524	87	disease	disease	NN
cord-328957-mzi8504f	524	88	transmission	transmission	NN
cord-328957-mzi8504f	524	89	Numerical	Numerical	NNP
cord-328957-mzi8504f	524	90	Methods	Methods	NNPS
cord-328957-mzi8504f	524	91	for	for	IN
cord-328957-mzi8504f	524	92	Least	Least	JJS
cord-328957-mzi8504f	524	93	Squares	Squares	NNPS
cord-328957-mzi8504f	524	94	Problems	Problems	NNPS
cord-328957-mzi8504f	524	95	Polynomial	Polynomial	NNP
cord-328957-mzi8504f	524	96	Regression	Regression	NNP
cord-328957-mzi8504f	524	97	with	with	IN
cord-328957-mzi8504f	524	98	Response	Response	NNP
cord-328957-mzi8504f	524	99	Surface	Surface	NNP
cord-328957-mzi8504f	524	100	Analysis	Analysis	NNP
cord-328957-mzi8504f	524	101	:	:	:
cord-328957-mzi8504f	524	102	A	a	DT
cord-328957-mzi8504f	524	103	Powerful	powerful	JJ
cord-328957-mzi8504f	524	104	Approach	approach	NN
cord-328957-mzi8504f	524	105	for	for	IN
cord-328957-mzi8504f	524	106	Examining	examine	VBG
cord-328957-mzi8504f	524	107	Moderation	moderation	NN
cord-328957-mzi8504f	524	108	and	and	CC
cord-328957-mzi8504f	524	109	Overcoming	overcoming	NN
cord-328957-mzi8504f	524	110	Limitations	limitation	NNS
cord-328957-mzi8504f	524	111	of	of	IN
cord-328957-mzi8504f	524	112	Difference	difference	NN
cord-328957-mzi8504f	524	113	Scores	score	NNS
cord-328957-mzi8504f	524	114	Evaluating	evaluate	VBG
cord-328957-mzi8504f	524	115	Scenarios	Scenarios	NNPS
cord-328957-mzi8504f	524	116	for	for	IN
cord-328957-mzi8504f	524	117	School	School	NNP
cord-328957-mzi8504f	524	118	Reopening	reopen	VBG
cord-328957-mzi8504f	524	119	under	under	IN
cord-328957-mzi8504f	524	120	COVID19	covid19	NN
cord-328957-mzi8504f	524	121	.	.	.
cord-328957-mzi8504f	525	1	medRxiv	medRxiv	NNS
cord-328957-mzi8504f	525	2	Homebound	Homebound	NNP
cord-328957-mzi8504f	525	3	by	by	IN
cord-328957-mzi8504f	525	4	COVID19	covid19	NN
cord-328957-mzi8504f	525	5	:	:	:
cord-328957-mzi8504f	526	1	The	the	DT
cord-328957-mzi8504f	526	2	Benets	Benets	NNPS
cord-328957-mzi8504f	526	3	and	and	CC
cord-328957-mzi8504f	526	4	Consequences	consequence	NNS
cord-328957-mzi8504f	526	5	of	of	IN
cord-328957-mzi8504f	526	6	Non	non	JJ
cord-328957-mzi8504f	526	7	-	-	JJ
cord-328957-mzi8504f	526	8	pharmaceutical	pharmaceutical	JJ
cord-328957-mzi8504f	526	9	Intervention	Intervention	NNP
cord-328957-mzi8504f	526	10	Strategies	Strategies	NNPS
cord-328957-mzi8504f	526	11	COVID-19	COVID-19	NNP
cord-328957-mzi8504f	526	12	lockdown	lockdown	NN
cord-328957-mzi8504f	526	13	:	:	:
cord-328957-mzi8504f	526	14	if	if	IN
cord-328957-mzi8504f	526	15	,	,	,
cord-328957-mzi8504f	526	16	when	when	WRB
cord-328957-mzi8504f	526	17	and	and	CC
cord-328957-mzi8504f	526	18	how	how	WRB