id	sid	tid	token	lemma	pos
cord-190242-sb0mjhzm	1	1	key	key	NN
cord-190242-sb0mjhzm	1	2	:	:	:
cord-190242-sb0mjhzm	1	3	cord-190242-sb0mjhzm	cord-190242-sb0mjhzm	ADD
cord-190242-sb0mjhzm	1	4	authors	author	NNS
cord-190242-sb0mjhzm	1	5	:	:	:
cord-190242-sb0mjhzm	1	6	Moore	Moore	NNP
cord-190242-sb0mjhzm	1	7	,	,	,
cord-190242-sb0mjhzm	1	8	Stephen	Stephen	NNP
cord-190242-sb0mjhzm	1	9	E.	E.	NNP
cord-190242-sb0mjhzm	1	10	;	;	:
cord-190242-sb0mjhzm	1	11	Okyere	Okyere	NNP
cord-190242-sb0mjhzm	1	12	,	,	,
cord-190242-sb0mjhzm	1	13	Eric	Eric	NNP
cord-190242-sb0mjhzm	1	14	title	title	NN
cord-190242-sb0mjhzm	1	15	:	:	:
cord-190242-sb0mjhzm	2	1	Controlling	control	VBG
cord-190242-sb0mjhzm	2	2	the	the	DT
cord-190242-sb0mjhzm	2	3	Transmission	Transmission	NNP
cord-190242-sb0mjhzm	2	4	Dynamics	Dynamics	NNPS
cord-190242-sb0mjhzm	2	5	of	of	IN
cord-190242-sb0mjhzm	2	6	COVID-19	covid-19	CD
cord-190242-sb0mjhzm	2	7	date	date	NN
cord-190242-sb0mjhzm	3	1	:	:	:
cord-190242-sb0mjhzm	3	2	2020	2020	CD
cord-190242-sb0mjhzm	3	3	-	-	HYPH
cord-190242-sb0mjhzm	3	4	03	03	CD
cord-190242-sb0mjhzm	3	5	-	-	HYPH
cord-190242-sb0mjhzm	3	6	31	31	CD
cord-190242-sb0mjhzm	3	7	journal	journal	NN
cord-190242-sb0mjhzm	3	8	:	:	:
cord-190242-sb0mjhzm	4	1	nan	nan	NNP
cord-190242-sb0mjhzm	4	2	DOI	DOI	NNP
cord-190242-sb0mjhzm	4	3	:	:	:
cord-190242-sb0mjhzm	4	4	nan	nan	NNP
cord-190242-sb0mjhzm	4	5	sha	sha	NNP
cord-190242-sb0mjhzm	4	6	:	:	:
cord-190242-sb0mjhzm	4	7	0ff1d5f15854ee14f5a1739cc60c2d488d025b70	0ff1d5f15854ee14f5a1739cc60c2d488d025b70	CD
cord-190242-sb0mjhzm	4	8	doc_id	doc_id	CD
cord-190242-sb0mjhzm	4	9	:	:	:
cord-190242-sb0mjhzm	4	10	190242	190242	CD
cord-190242-sb0mjhzm	4	11	cord_uid	cord_uid	NNS
cord-190242-sb0mjhzm	4	12	:	:	:
cord-190242-sb0mjhzm	4	13	sb0mjhzm	sb0mjhzm	ADD
cord-190242-sb0mjhzm	5	1	The	the	DT
cord-190242-sb0mjhzm	5	2	outbreak	outbreak	NN
cord-190242-sb0mjhzm	5	3	of	of	IN
cord-190242-sb0mjhzm	5	4	COVID-19	covid-19	NN
cord-190242-sb0mjhzm	5	5	caused	cause	VBN
cord-190242-sb0mjhzm	5	6	by	by	IN
cord-190242-sb0mjhzm	5	7	SARS	SARS	NNP
cord-190242-sb0mjhzm	5	8	-	-	HYPH
cord-190242-sb0mjhzm	5	9	CoV-2	CoV-2	NNP
cord-190242-sb0mjhzm	5	10	in	in	IN
cord-190242-sb0mjhzm	5	11	Wuhan	Wuhan	NNP
cord-190242-sb0mjhzm	5	12	and	and	CC
cord-190242-sb0mjhzm	5	13	other	other	JJ
cord-190242-sb0mjhzm	5	14	cities	city	NNS
cord-190242-sb0mjhzm	5	15	in	in	IN
cord-190242-sb0mjhzm	5	16	China	China	NNP
cord-190242-sb0mjhzm	5	17	in	in	IN
cord-190242-sb0mjhzm	5	18	2019	2019	CD
cord-190242-sb0mjhzm	5	19	has	have	VBZ
cord-190242-sb0mjhzm	5	20	become	become	VBN
cord-190242-sb0mjhzm	5	21	a	a	DT
cord-190242-sb0mjhzm	5	22	global	global	JJ
cord-190242-sb0mjhzm	5	23	pandemic	pandemic	NN
cord-190242-sb0mjhzm	5	24	as	as	IN
cord-190242-sb0mjhzm	5	25	declared	declare	VBN
cord-190242-sb0mjhzm	5	26	by	by	IN
cord-190242-sb0mjhzm	5	27	World	World	NNP
cord-190242-sb0mjhzm	5	28	Health	Health	NNP
cord-190242-sb0mjhzm	5	29	Organization	Organization	NNP
cord-190242-sb0mjhzm	5	30	(	(	-LRB-
cord-190242-sb0mjhzm	5	31	WHO	who	WP
cord-190242-sb0mjhzm	5	32	)	)	-RRB-
cord-190242-sb0mjhzm	5	33	in	in	IN
cord-190242-sb0mjhzm	5	34	the	the	DT
cord-190242-sb0mjhzm	5	35	first	first	JJ
cord-190242-sb0mjhzm	5	36	quarter	quarter	NN
cord-190242-sb0mjhzm	5	37	of	of	IN
cord-190242-sb0mjhzm	5	38	2020	2020	CD
cord-190242-sb0mjhzm	5	39	.	.	.
cord-190242-sb0mjhzm	6	1	The	the	DT
cord-190242-sb0mjhzm	6	2	delay	delay	NN
cord-190242-sb0mjhzm	6	3	in	in	IN
cord-190242-sb0mjhzm	6	4	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	6	5	,	,	,
cord-190242-sb0mjhzm	6	6	limited	limited	JJ
cord-190242-sb0mjhzm	6	7	hospital	hospital	NN
cord-190242-sb0mjhzm	6	8	resources	resource	NNS
cord-190242-sb0mjhzm	6	9	and	and	CC
cord-190242-sb0mjhzm	6	10	other	other	JJ
cord-190242-sb0mjhzm	6	11	treatment	treatment	NN
cord-190242-sb0mjhzm	6	12	resources	resource	NNS
cord-190242-sb0mjhzm	6	13	leads	lead	VBZ
cord-190242-sb0mjhzm	6	14	to	to	IN
cord-190242-sb0mjhzm	6	15	rapid	rapid	JJ
cord-190242-sb0mjhzm	6	16	spread	spread	NN
cord-190242-sb0mjhzm	6	17	of	of	IN
cord-190242-sb0mjhzm	6	18	COVID-19	covid-19	NN
cord-190242-sb0mjhzm	6	19	.	.	.
cord-190242-sb0mjhzm	7	1	In	in	IN
cord-190242-sb0mjhzm	7	2	this	this	DT
cord-190242-sb0mjhzm	7	3	article	article	NN
cord-190242-sb0mjhzm	7	4	,	,	,
cord-190242-sb0mjhzm	7	5	we	-PRON-	PRP
cord-190242-sb0mjhzm	7	6	consider	consider	VBP
cord-190242-sb0mjhzm	7	7	an	an	DT
cord-190242-sb0mjhzm	7	8	optimal	optimal	JJ
cord-190242-sb0mjhzm	7	9	control	control	NN
cord-190242-sb0mjhzm	7	10	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	7	11	transmission	transmission	NN
cord-190242-sb0mjhzm	7	12	model	model	NN
cord-190242-sb0mjhzm	7	13	and	and	CC
cord-190242-sb0mjhzm	7	14	assess	assess	VB
cord-190242-sb0mjhzm	7	15	the	the	DT
cord-190242-sb0mjhzm	7	16	impact	impact	NN
cord-190242-sb0mjhzm	7	17	of	of	IN
cord-190242-sb0mjhzm	7	18	some	some	DT
cord-190242-sb0mjhzm	7	19	control	control	NN
cord-190242-sb0mjhzm	7	20	measures	measure	NNS
cord-190242-sb0mjhzm	7	21	that	that	WDT
cord-190242-sb0mjhzm	7	22	can	can	MD
cord-190242-sb0mjhzm	7	23	lead	lead	VB
cord-190242-sb0mjhzm	7	24	to	to	IN
cord-190242-sb0mjhzm	7	25	the	the	DT
cord-190242-sb0mjhzm	7	26	reduction	reduction	NN
cord-190242-sb0mjhzm	7	27	of	of	IN
cord-190242-sb0mjhzm	7	28	exposed	expose	VBN
cord-190242-sb0mjhzm	7	29	and	and	CC
cord-190242-sb0mjhzm	7	30	infectious	infectious	JJ
cord-190242-sb0mjhzm	7	31	individuals	individual	NNS
cord-190242-sb0mjhzm	7	32	in	in	IN
cord-190242-sb0mjhzm	7	33	the	the	DT
cord-190242-sb0mjhzm	7	34	population	population	NN
cord-190242-sb0mjhzm	7	35	.	.	.
cord-190242-sb0mjhzm	8	1	We	-PRON-	PRP
cord-190242-sb0mjhzm	8	2	investigate	investigate	VBP
cord-190242-sb0mjhzm	8	3	three	three	CD
cord-190242-sb0mjhzm	8	4	control	control	NN
cord-190242-sb0mjhzm	8	5	strategies	strategy	NNS
cord-190242-sb0mjhzm	8	6	for	for	IN
cord-190242-sb0mjhzm	8	7	this	this	DT
cord-190242-sb0mjhzm	8	8	deadly	deadly	JJ
cord-190242-sb0mjhzm	8	9	infectious	infectious	JJ
cord-190242-sb0mjhzm	8	10	disease	disease	NN
cord-190242-sb0mjhzm	8	11	using	use	VBG
cord-190242-sb0mjhzm	8	12	personal	personal	JJ
cord-190242-sb0mjhzm	8	13	protection	protection	NN
cord-190242-sb0mjhzm	8	14	,	,	,
cord-190242-sb0mjhzm	8	15	treatment	treatment	NN
cord-190242-sb0mjhzm	8	16	with	with	IN
cord-190242-sb0mjhzm	8	17	early	early	JJ
cord-190242-sb0mjhzm	8	18	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	8	19	,	,	,
cord-190242-sb0mjhzm	8	20	treatment	treatment	NN
cord-190242-sb0mjhzm	8	21	with	with	IN
cord-190242-sb0mjhzm	8	22	delay	delay	NN
cord-190242-sb0mjhzm	8	23	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	8	24	and	and	CC
cord-190242-sb0mjhzm	8	25	spraying	spraying	NN
cord-190242-sb0mjhzm	8	26	of	of	IN
cord-190242-sb0mjhzm	8	27	virus	virus	NN
cord-190242-sb0mjhzm	8	28	in	in	IN
cord-190242-sb0mjhzm	8	29	the	the	DT
cord-190242-sb0mjhzm	8	30	environment	environment	NN
cord-190242-sb0mjhzm	8	31	as	as	IN
cord-190242-sb0mjhzm	8	32	time	time	NN
cord-190242-sb0mjhzm	8	33	-	-	HYPH
cord-190242-sb0mjhzm	8	34	dependent	dependent	JJ
cord-190242-sb0mjhzm	8	35	control	control	NN
cord-190242-sb0mjhzm	8	36	functions	function	NNS
cord-190242-sb0mjhzm	8	37	in	in	IN
cord-190242-sb0mjhzm	8	38	our	-PRON-	PRP$
cord-190242-sb0mjhzm	8	39	dynamical	dynamical	JJ
cord-190242-sb0mjhzm	8	40	model	model	NN
cord-190242-sb0mjhzm	8	41	to	to	TO
cord-190242-sb0mjhzm	8	42	curb	curb	VB
cord-190242-sb0mjhzm	8	43	the	the	DT
cord-190242-sb0mjhzm	8	44	disease	disease	NN
cord-190242-sb0mjhzm	8	45	spread	spread	VBD
cord-190242-sb0mjhzm	8	46	.	.	.
cord-190242-sb0mjhzm	9	1	The	the	DT
cord-190242-sb0mjhzm	9	2	recent	recent	JJ
cord-190242-sb0mjhzm	9	3	outbreak	outbreak	NN
cord-190242-sb0mjhzm	9	4	of	of	IN
cord-190242-sb0mjhzm	9	5	the	the	DT
cord-190242-sb0mjhzm	9	6	deadly	deadly	JJ
cord-190242-sb0mjhzm	9	7	and	and	CC
cord-190242-sb0mjhzm	9	8	highly	highly	RB
cord-190242-sb0mjhzm	9	9	infectious	infectious	JJ
cord-190242-sb0mjhzm	9	10	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	9	11	disease	disease	NN
cord-190242-sb0mjhzm	9	12	caused	cause	VBN
cord-190242-sb0mjhzm	9	13	by	by	IN
cord-190242-sb0mjhzm	9	14	SARS	SARS	NNP
cord-190242-sb0mjhzm	9	15	-	-	HYPH
cord-190242-sb0mjhzm	9	16	CoV-2	CoV-2	NNP
cord-190242-sb0mjhzm	9	17	in	in	IN
cord-190242-sb0mjhzm	9	18	Wuhan	Wuhan	NNP
cord-190242-sb0mjhzm	9	19	and	and	CC
cord-190242-sb0mjhzm	9	20	other	other	JJ
cord-190242-sb0mjhzm	9	21	cities	city	NNS
cord-190242-sb0mjhzm	9	22	in	in	IN
cord-190242-sb0mjhzm	9	23	China	China	NNP
cord-190242-sb0mjhzm	9	24	in	in	IN
cord-190242-sb0mjhzm	9	25	2019	2019	CD
cord-190242-sb0mjhzm	9	26	has	have	VBZ
cord-190242-sb0mjhzm	9	27	become	become	VBN
cord-190242-sb0mjhzm	9	28	a	a	DT
cord-190242-sb0mjhzm	9	29	global	global	JJ
cord-190242-sb0mjhzm	9	30	pandemic	pandemic	NN
cord-190242-sb0mjhzm	9	31	as	as	IN
cord-190242-sb0mjhzm	9	32	declared	declare	VBN
cord-190242-sb0mjhzm	9	33	by	by	IN
cord-190242-sb0mjhzm	9	34	World	World	NNP
cord-190242-sb0mjhzm	9	35	Health	Health	NNP
cord-190242-sb0mjhzm	9	36	Organization	Organization	NNP
cord-190242-sb0mjhzm	9	37	(	(	-LRB-
cord-190242-sb0mjhzm	9	38	WHO	who	WP
cord-190242-sb0mjhzm	9	39	)	)	-RRB-
cord-190242-sb0mjhzm	9	40	in	in	IN
cord-190242-sb0mjhzm	9	41	the	the	DT
cord-190242-sb0mjhzm	9	42	first	first	JJ
cord-190242-sb0mjhzm	9	43	quarter	quarter	NN
cord-190242-sb0mjhzm	9	44	of	of	IN
cord-190242-sb0mjhzm	9	45	2020	2020	CD
cord-190242-sb0mjhzm	9	46	[	[	-LRB-
cord-190242-sb0mjhzm	9	47	19	19	CD
cord-190242-sb0mjhzm	9	48	]	]	-RRB-
cord-190242-sb0mjhzm	9	49	.	.	.
cord-190242-sb0mjhzm	10	1	The	the	DT
cord-190242-sb0mjhzm	10	2	most	most	RBS
cord-190242-sb0mjhzm	10	3	vulnerable	vulnerable	JJ
cord-190242-sb0mjhzm	10	4	people	people	NNS
cord-190242-sb0mjhzm	10	5	to	to	TO
cord-190242-sb0mjhzm	10	6	develop	develop	VB
cord-190242-sb0mjhzm	10	7	serious	serious	JJ
cord-190242-sb0mjhzm	10	8	complications	complication	NNS
cord-190242-sb0mjhzm	10	9	from	from	IN
cord-190242-sb0mjhzm	10	10	this	this	DT
cord-190242-sb0mjhzm	10	11	dangerous	dangerous	JJ
cord-190242-sb0mjhzm	10	12	disease	disease	NN
cord-190242-sb0mjhzm	10	13	are	be	VBP
cord-190242-sb0mjhzm	10	14	the	the	DT
cord-190242-sb0mjhzm	10	15	elderly	elderly	JJ
cord-190242-sb0mjhzm	10	16	with	with	IN
cord-190242-sb0mjhzm	10	17	underlying	underlying	JJ
cord-190242-sb0mjhzm	10	18	medical	medical	JJ
cord-190242-sb0mjhzm	10	19	problems	problem	NNS
cord-190242-sb0mjhzm	10	20	.	.	.
cord-190242-sb0mjhzm	11	1	As	as	IN
cord-190242-sb0mjhzm	11	2	at	at	IN
cord-190242-sb0mjhzm	11	3	29th	29th	NN
cord-190242-sb0mjhzm	11	4	March	March	NNP
cord-190242-sb0mjhzm	11	5	,	,	,
cord-190242-sb0mjhzm	11	6	2020	2020	CD
cord-190242-sb0mjhzm	11	7	,	,	,
cord-190242-sb0mjhzm	11	8	the	the	DT
cord-190242-sb0mjhzm	11	9	69th	69th	JJ
cord-190242-sb0mjhzm	11	10	situation	situation	NN
cord-190242-sb0mjhzm	11	11	report	report	NN
cord-190242-sb0mjhzm	11	12	by	by	IN
cord-190242-sb0mjhzm	11	13	WHO	who	WP
cord-190242-sb0mjhzm	11	14	indicated	indicate	VBD
cord-190242-sb0mjhzm	11	15	that	that	IN
cord-190242-sb0mjhzm	11	16	the	the	DT
cord-190242-sb0mjhzm	11	17	deadly	deadly	JJ
cord-190242-sb0mjhzm	11	18	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	11	19	disease	disease	NN
cord-190242-sb0mjhzm	11	20	had	have	VBD
cord-190242-sb0mjhzm	11	21	globally	globally	RB
cord-190242-sb0mjhzm	11	22	infected	infect	VBN
cord-190242-sb0mjhzm	11	23	634	634	CD
cord-190242-sb0mjhzm	11	24	,	,	,
cord-190242-sb0mjhzm	11	25	835	835	CD
cord-190242-sb0mjhzm	11	26	people	people	NNS
cord-190242-sb0mjhzm	11	27	with	with	IN
cord-190242-sb0mjhzm	11	28	29	29	CD
cord-190242-sb0mjhzm	11	29	,	,	,
cord-190242-sb0mjhzm	11	30	891	891	CD
cord-190242-sb0mjhzm	11	31	deaths	death	NNS
cord-190242-sb0mjhzm	11	32	,	,	,
cord-190242-sb0mjhzm	11	33	see	see	VB
cord-190242-sb0mjhzm	11	34	[	[	-LRB-
cord-190242-sb0mjhzm	11	35	20	20	CD
cord-190242-sb0mjhzm	11	36	]	]	-RRB-
cord-190242-sb0mjhzm	11	37	.	.	.
cord-190242-sb0mjhzm	12	1	The	the	DT
cord-190242-sb0mjhzm	12	2	understanding	understanding	NN
cord-190242-sb0mjhzm	12	3	of	of	IN
cord-190242-sb0mjhzm	12	4	the	the	DT
cord-190242-sb0mjhzm	12	5	transmission	transmission	NN
cord-190242-sb0mjhzm	12	6	dynamics	dynamic	NNS
cord-190242-sb0mjhzm	12	7	of	of	IN
cord-190242-sb0mjhzm	12	8	infectious	infectious	JJ
cord-190242-sb0mjhzm	12	9	diseases	disease	NNS
cord-190242-sb0mjhzm	12	10	has	have	VBZ
cord-190242-sb0mjhzm	12	11	been	be	VBN
cord-190242-sb0mjhzm	12	12	well	well	RB
cord-190242-sb0mjhzm	12	13	-	-	HYPH
cord-190242-sb0mjhzm	12	14	studied	study	VBN
cord-190242-sb0mjhzm	12	15	and	and	CC
cord-190242-sb0mjhzm	12	16	researched	research	VBN
cord-190242-sb0mjhzm	12	17	in	in	IN
cord-190242-sb0mjhzm	12	18	mathematics	mathematic	NNS
cord-190242-sb0mjhzm	12	19	and	and	CC
cord-190242-sb0mjhzm	12	20	usually	usually	RB
cord-190242-sb0mjhzm	12	21	referred	refer	VBD
cord-190242-sb0mjhzm	12	22	to	to	IN
cord-190242-sb0mjhzm	12	23	as	as	RB
cord-190242-sb0mjhzm	12	24	mathematical	mathematical	JJ
cord-190242-sb0mjhzm	12	25	epidemiology	epidemiology	NN
cord-190242-sb0mjhzm	12	26	.	.	.
cord-190242-sb0mjhzm	13	1	These	these	DT
cord-190242-sb0mjhzm	13	2	mathematical	mathematical	JJ
cord-190242-sb0mjhzm	13	3	models	model	NNS
cord-190242-sb0mjhzm	13	4	have	have	VBP
cord-190242-sb0mjhzm	13	5	played	play	VBN
cord-190242-sb0mjhzm	13	6	a	a	DT
cord-190242-sb0mjhzm	13	7	major	major	JJ
cord-190242-sb0mjhzm	13	8	role	role	NN
cord-190242-sb0mjhzm	13	9	in	in	IN
cord-190242-sb0mjhzm	13	10	increasing	increase	VBG
cord-190242-sb0mjhzm	13	11	understanding	understanding	NN
cord-190242-sb0mjhzm	13	12	of	of	IN
cord-190242-sb0mjhzm	13	13	the	the	DT
cord-190242-sb0mjhzm	13	14	underlying	underlying	JJ
cord-190242-sb0mjhzm	13	15	mechanisms	mechanism	NNS
cord-190242-sb0mjhzm	13	16	which	which	WDT
cord-190242-sb0mjhzm	13	17	influence	influence	VBP
cord-190242-sb0mjhzm	13	18	the	the	DT
cord-190242-sb0mjhzm	13	19	spread	spread	NN
cord-190242-sb0mjhzm	13	20	of	of	IN
cord-190242-sb0mjhzm	13	21	diseases	disease	NNS
cord-190242-sb0mjhzm	13	22	and	and	CC
cord-190242-sb0mjhzm	13	23	provide	provide	VB
cord-190242-sb0mjhzm	13	24	guidelines	guideline	NNS
cord-190242-sb0mjhzm	13	25	as	as	IN
cord-190242-sb0mjhzm	13	26	to	to	IN
cord-190242-sb0mjhzm	13	27	how	how	WRB
cord-190242-sb0mjhzm	13	28	the	the	DT
cord-190242-sb0mjhzm	13	29	spread	spread	NN
cord-190242-sb0mjhzm	13	30	can	can	MD
cord-190242-sb0mjhzm	13	31	be	be	VB
cord-190242-sb0mjhzm	13	32	controlled	control	VBN
cord-190242-sb0mjhzm	13	33	[	[	-LRB-
cord-190242-sb0mjhzm	13	34	2	2	CD
cord-190242-sb0mjhzm	13	35	,	,	,
cord-190242-sb0mjhzm	13	36	7	7	CD
cord-190242-sb0mjhzm	13	37	,	,	,
cord-190242-sb0mjhzm	13	38	25	25	CD
cord-190242-sb0mjhzm	13	39	]	]	-RRB-
cord-190242-sb0mjhzm	13	40	.	.	.
cord-190242-sb0mjhzm	14	1	The	the	DT
cord-190242-sb0mjhzm	14	2	recent	recent	JJ
cord-190242-sb0mjhzm	14	3	outbreak	outbreak	NN
cord-190242-sb0mjhzm	14	4	of	of	IN
cord-190242-sb0mjhzm	14	5	the	the	DT
cord-190242-sb0mjhzm	14	6	deadly	deadly	JJ
cord-190242-sb0mjhzm	14	7	and	and	CC
cord-190242-sb0mjhzm	14	8	highly	highly	RB
cord-190242-sb0mjhzm	14	9	infectious	infectious	JJ
cord-190242-sb0mjhzm	14	10	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	14	11	disease	disease	NN
cord-190242-sb0mjhzm	14	12	has	have	VBZ
cord-190242-sb0mjhzm	14	13	attracted	attract	VBN
cord-190242-sb0mjhzm	14	14	the	the	DT
cord-190242-sb0mjhzm	14	15	attention	attention	NN
cord-190242-sb0mjhzm	14	16	of	of	IN
cord-190242-sb0mjhzm	14	17	many	many	JJ
cord-190242-sb0mjhzm	14	18	authors	author	NNS
cord-190242-sb0mjhzm	14	19	who	who	WP
cord-190242-sb0mjhzm	14	20	have	have	VBP
cord-190242-sb0mjhzm	14	21	discussed	discuss	VBN
cord-190242-sb0mjhzm	14	22	and	and	CC
cord-190242-sb0mjhzm	14	23	studied	study	VBD
cord-190242-sb0mjhzm	14	24	the	the	DT
cord-190242-sb0mjhzm	14	25	nature	nature	NN
cord-190242-sb0mjhzm	14	26	of	of	IN
cord-190242-sb0mjhzm	14	27	the	the	DT
cord-190242-sb0mjhzm	14	28	virus	virus	NN
cord-190242-sb0mjhzm	14	29	,	,	,
cord-190242-sb0mjhzm	14	30	its	-PRON-	PRP$
cord-190242-sb0mjhzm	14	31	transmission	transmission	NN
cord-190242-sb0mjhzm	14	32	dynamics	dynamic	NNS
cord-190242-sb0mjhzm	14	33	and	and	CC
cord-190242-sb0mjhzm	14	34	the	the	DT
cord-190242-sb0mjhzm	14	35	basic	basic	JJ
cord-190242-sb0mjhzm	14	36	reproduction	reproduction	NN
cord-190242-sb0mjhzm	14	37	number	number	NN
cord-190242-sb0mjhzm	14	38	of	of	IN
cord-190242-sb0mjhzm	14	39	the	the	DT
cord-190242-sb0mjhzm	14	40	disease	disease	NN
cord-190242-sb0mjhzm	14	41	,	,	,
cord-190242-sb0mjhzm	14	42	see	see	VB
cord-190242-sb0mjhzm	14	43	eg	eg	IN
cord-190242-sb0mjhzm	14	44	.	.	.
cord-190242-sb0mjhzm	15	1	[	[	-LRB-
cord-190242-sb0mjhzm	15	2	3	3	CD
cord-190242-sb0mjhzm	15	3	,	,	,
cord-190242-sb0mjhzm	15	4	5	5	CD
cord-190242-sb0mjhzm	15	5	,	,	,
cord-190242-sb0mjhzm	15	6	9	9	CD
cord-190242-sb0mjhzm	15	7	,	,	,
cord-190242-sb0mjhzm	15	8	26	26	CD
cord-190242-sb0mjhzm	15	9	,	,	,
cord-190242-sb0mjhzm	15	10	27	27	CD
cord-190242-sb0mjhzm	15	11	,	,	,
cord-190242-sb0mjhzm	15	12	29	29	CD
cord-190242-sb0mjhzm	15	13	]	]	-RRB-
cord-190242-sb0mjhzm	15	14	.	.	.
cord-190242-sb0mjhzm	16	1	Recently	recently	RB
cord-190242-sb0mjhzm	16	2	,	,	,
cord-190242-sb0mjhzm	16	3	Elsevier	Elsevier	NNP
cord-190242-sb0mjhzm	16	4	and	and	CC
cord-190242-sb0mjhzm	16	5	Springer	Springer	NNP
cord-190242-sb0mjhzm	16	6	have	have	VBP
cord-190242-sb0mjhzm	16	7	made	make	VBN
cord-190242-sb0mjhzm	16	8	open	open	JJ
cord-190242-sb0mjhzm	16	9	access	access	NN
cord-190242-sb0mjhzm	16	10	to	to	IN
cord-190242-sb0mjhzm	16	11	several	several	JJ
cord-190242-sb0mjhzm	16	12	literature	literature	NN
cord-190242-sb0mjhzm	16	13	for	for	IN
cord-190242-sb0mjhzm	16	14	interested	interested	JJ
cord-190242-sb0mjhzm	16	15	researchers	researcher	NNS
cord-190242-sb0mjhzm	16	16	[	[	-LRB-
cord-190242-sb0mjhzm	16	17	4	4	CD
cord-190242-sb0mjhzm	16	18	,	,	,
cord-190242-sb0mjhzm	16	19	14	14	CD
cord-190242-sb0mjhzm	16	20	]	]	-RRB-
cord-190242-sb0mjhzm	16	21	.	.	.
cord-190242-sb0mjhzm	17	1	An	an	DT
cord-190242-sb0mjhzm	17	2	SEIR	seir	JJ
cord-190242-sb0mjhzm	17	3	mathematical	mathematical	JJ
cord-190242-sb0mjhzm	17	4	model	model	NN
cord-190242-sb0mjhzm	17	5	for	for	IN
cord-190242-sb0mjhzm	17	6	the	the	DT
cord-190242-sb0mjhzm	17	7	transmission	transmission	NN
cord-190242-sb0mjhzm	17	8	dynamics	dynamic	NNS
cord-190242-sb0mjhzm	17	9	of	of	IN
cord-190242-sb0mjhzm	17	10	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	17	11	disease	disease	NN
cord-190242-sb0mjhzm	17	12	with	with	IN
cord-190242-sb0mjhzm	17	13	data	datum	NNS
cord-190242-sb0mjhzm	17	14	fitting	fitting	NN
cord-190242-sb0mjhzm	17	15	,	,	,
cord-190242-sb0mjhzm	17	16	parameter	parameter	NN
cord-190242-sb0mjhzm	17	17	estimations	estimation	NNS
cord-190242-sb0mjhzm	17	18	and	and	CC
cord-190242-sb0mjhzm	17	19	sensitivity	sensitivity	NN
cord-190242-sb0mjhzm	17	20	analysis	analysis	NN
cord-190242-sb0mjhzm	17	21	is	be	VBZ
cord-190242-sb0mjhzm	17	22	studied	study	VBN
cord-190242-sb0mjhzm	17	23	in	in	IN
cord-190242-sb0mjhzm	18	1	[	[	-LRB-
cord-190242-sb0mjhzm	18	2	5	5	CD
cord-190242-sb0mjhzm	18	3	]	]	-RRB-
cord-190242-sb0mjhzm	18	4	whiles	while	NNS
cord-190242-sb0mjhzm	18	5	a	a	DT
cord-190242-sb0mjhzm	18	6	deterministic	deterministic	JJ
cord-190242-sb0mjhzm	18	7	model	model	NN
cord-190242-sb0mjhzm	18	8	for	for	IN
cord-190242-sb0mjhzm	18	9	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	18	10	that	that	WDT
cord-190242-sb0mjhzm	18	11	captures	capture	VBZ
cord-190242-sb0mjhzm	18	12	the	the	DT
cord-190242-sb0mjhzm	18	13	effect	effect	NN
cord-190242-sb0mjhzm	18	14	of	of	IN
cord-190242-sb0mjhzm	18	15	delay	delay	NN
cord-190242-sb0mjhzm	18	16	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	18	17	on	on	IN
cord-190242-sb0mjhzm	18	18	the	the	DT
cord-190242-sb0mjhzm	18	19	disease	disease	NN
cord-190242-sb0mjhzm	18	20	transmission	transmission	NN
cord-190242-sb0mjhzm	18	21	has	have	VBZ
cord-190242-sb0mjhzm	18	22	also	also	RB
cord-190242-sb0mjhzm	18	23	been	be	VBN
cord-190242-sb0mjhzm	18	24	presented	present	VBN
cord-190242-sb0mjhzm	18	25	,	,	,
cord-190242-sb0mjhzm	18	26	see	see	VB
cord-190242-sb0mjhzm	18	27	[	[	-LRB-
cord-190242-sb0mjhzm	18	28	28	28	CD
cord-190242-sb0mjhzm	18	29	]	]	-RRB-
cord-190242-sb0mjhzm	18	30	.	.	.
cord-190242-sb0mjhzm	19	1	In	in	IN
cord-190242-sb0mjhzm	19	2	[	[	-LRB-
cord-190242-sb0mjhzm	19	3	12	12	CD
cord-190242-sb0mjhzm	19	4	]	]	-RRB-
cord-190242-sb0mjhzm	19	5	,	,	,
cord-190242-sb0mjhzm	19	6	the	the	DT
cord-190242-sb0mjhzm	19	7	authors	author	NNS
cord-190242-sb0mjhzm	19	8	explore	explore	VBP
cord-190242-sb0mjhzm	19	9	a	a	DT
cord-190242-sb0mjhzm	19	10	statistical	statistical	JJ
cord-190242-sb0mjhzm	19	11	analysis	analysis	NN
cord-190242-sb0mjhzm	19	12	of	of	IN
cord-190242-sb0mjhzm	19	13	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	19	14	disease	disease	NNP
cord-190242-sb0mjhzm	19	15	data	datum	NNS
cord-190242-sb0mjhzm	19	16	to	to	TO
cord-190242-sb0mjhzm	19	17	estimate	estimate	VB
cord-190242-sb0mjhzm	19	18	time	time	NN
cord-190242-sb0mjhzm	19	19	-	-	HYPH
cord-190242-sb0mjhzm	19	20	delay	delay	NN
cord-190242-sb0mjhzm	19	21	adjusted	adjust	VBN
cord-190242-sb0mjhzm	19	22	risk	risk	NN
cord-190242-sb0mjhzm	19	23	for	for	IN
cord-190242-sb0mjhzm	19	24	death	death	NN
cord-190242-sb0mjhzm	19	25	from	from	IN
cord-190242-sb0mjhzm	19	26	this	this	DT
cord-190242-sb0mjhzm	19	27	deadly	deadly	JJ
cord-190242-sb0mjhzm	19	28	virus	virus	NN
cord-190242-sb0mjhzm	19	29	in	in	IN
cord-190242-sb0mjhzm	19	30	Wuhan	Wuhan	NNP
cord-190242-sb0mjhzm	19	31	,	,	,
cord-190242-sb0mjhzm	19	32	as	as	RB
cord-190242-sb0mjhzm	19	33	well	well	RB
cord-190242-sb0mjhzm	19	34	as	as	IN
cord-190242-sb0mjhzm	19	35	for	for	IN
cord-190242-sb0mjhzm	19	36	China	China	NNP
cord-190242-sb0mjhzm	19	37	excluding	exclude	VBG
cord-190242-sb0mjhzm	19	38	Wuhan	Wuhan	NNP
cord-190242-sb0mjhzm	19	39	.	.	.
cord-190242-sb0mjhzm	20	1	Their	-PRON-	PRP$
cord-190242-sb0mjhzm	20	2	study	study	NN
cord-190242-sb0mjhzm	20	3	suggested	suggest	VBD
cord-190242-sb0mjhzm	20	4	that	that	IN
cord-190242-sb0mjhzm	20	5	effective	effective	JJ
cord-190242-sb0mjhzm	20	6	social	social	JJ
cord-190242-sb0mjhzm	20	7	distancing	distancing	NN
cord-190242-sb0mjhzm	20	8	and	and	CC
cord-190242-sb0mjhzm	20	9	movement	movement	NN
cord-190242-sb0mjhzm	20	10	restrictions	restriction	NNS
cord-190242-sb0mjhzm	20	11	practices	practice	NNS
cord-190242-sb0mjhzm	20	12	can	can	MD
cord-190242-sb0mjhzm	20	13	help	help	VB
cord-190242-sb0mjhzm	20	14	minimise	minimise	VB
cord-190242-sb0mjhzm	20	15	the	the	DT
cord-190242-sb0mjhzm	20	16	disease	disease	NN
cord-190242-sb0mjhzm	20	17	transmission	transmission	NN
cord-190242-sb0mjhzm	20	18	.	.	.
cord-190242-sb0mjhzm	21	1	A	a	DT
cord-190242-sb0mjhzm	21	2	real	real	JJ
cord-190242-sb0mjhzm	21	3	-	-	HYPH
cord-190242-sb0mjhzm	21	4	time	time	NN
cord-190242-sb0mjhzm	21	5	forecast	forecast	NN
cord-190242-sb0mjhzm	21	6	phenomenological	phenomenological	JJ
cord-190242-sb0mjhzm	21	7	model	model	NN
cord-190242-sb0mjhzm	21	8	has	have	VBZ
cord-190242-sb0mjhzm	21	9	also	also	RB
cord-190242-sb0mjhzm	21	10	been	be	VBN
cord-190242-sb0mjhzm	21	11	designed	design	VBN
cord-190242-sb0mjhzm	21	12	to	to	TO
cord-190242-sb0mjhzm	21	13	study	study	VB
cord-190242-sb0mjhzm	21	14	the	the	DT
cord-190242-sb0mjhzm	21	15	transmission	transmission	NN
cord-190242-sb0mjhzm	21	16	pattern	pattern	NN
cord-190242-sb0mjhzm	21	17	of	of	IN
cord-190242-sb0mjhzm	21	18	COVID-19	covid-19	JJ
cord-190242-sb0mjhzm	21	19	infectious	infectious	JJ
cord-190242-sb0mjhzm	21	20	disease	disease	NN
cord-190242-sb0mjhzm	21	21	,	,	,
cord-190242-sb0mjhzm	21	22	see	see	VB
cord-190242-sb0mjhzm	21	23	e.g.	e.g.	RB
cord-190242-sb0mjhzm	21	24	,	,	,
cord-190242-sb0mjhzm	21	25	[	[	-LRB-
cord-190242-sb0mjhzm	21	26	23	23	CD
cord-190242-sb0mjhzm	21	27	]	]	-RRB-
cord-190242-sb0mjhzm	21	28	.	.	.
cord-190242-sb0mjhzm	22	1	Also	also	RB
cord-190242-sb0mjhzm	22	2	,	,	,
cord-190242-sb0mjhzm	22	3	an	an	DT
cord-190242-sb0mjhzm	22	4	SEIR	seir	NN
cord-190242-sb0mjhzm	22	5	-	-	HYPH
cord-190242-sb0mjhzm	22	6	type	type	NN
cord-190242-sb0mjhzm	22	7	compartmental	compartmental	JJ
cord-190242-sb0mjhzm	22	8	modelling	modelling	NN
cord-190242-sb0mjhzm	22	9	concept	concept	NN
cord-190242-sb0mjhzm	22	10	applied	apply	VBN
cord-190242-sb0mjhzm	22	11	to	to	TO
cord-190242-sb0mjhzm	22	12	design	design	VB
cord-190242-sb0mjhzm	22	13	a	a	DT
cord-190242-sb0mjhzm	22	14	data	data	NN
cord-190242-sb0mjhzm	22	15	-	-	HYPH
cord-190242-sb0mjhzm	22	16	driven	drive	VBN
cord-190242-sb0mjhzm	22	17	epidemic	epidemic	NN
cord-190242-sb0mjhzm	22	18	model	model	NN
cord-190242-sb0mjhzm	22	19	that	that	WDT
cord-190242-sb0mjhzm	22	20	incorporates	incorporate	VBZ
cord-190242-sb0mjhzm	22	21	governmental	governmental	JJ
cord-190242-sb0mjhzm	22	22	actions	action	NNS
cord-190242-sb0mjhzm	22	23	and	and	CC
cord-190242-sb0mjhzm	22	24	individual	individual	JJ
cord-190242-sb0mjhzm	22	25	behavioural	behavioural	JJ
cord-190242-sb0mjhzm	22	26	reactions	reaction	NNS
cord-190242-sb0mjhzm	22	27	for	for	IN
cord-190242-sb0mjhzm	22	28	the	the	DT
cord-190242-sb0mjhzm	22	29	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	22	30	disease	disease	NN
cord-190242-sb0mjhzm	22	31	outbreak	outbreak	NN
cord-190242-sb0mjhzm	22	32	in	in	IN
cord-190242-sb0mjhzm	22	33	Wuhan	Wuhan	NNP
cord-190242-sb0mjhzm	22	34	[	[	-LRB-
cord-190242-sb0mjhzm	22	35	11	11	CD
cord-190242-sb0mjhzm	22	36	]	]	-RRB-
cord-190242-sb0mjhzm	22	37	.	.	.
cord-190242-sb0mjhzm	23	1	Mathematical	mathematical	JJ
cord-190242-sb0mjhzm	23	2	modelling	modelling	NN
cord-190242-sb0mjhzm	23	3	of	of	IN
cord-190242-sb0mjhzm	23	4	epidemics	epidemic	NNS
cord-190242-sb0mjhzm	23	5	using	use	VBG
cord-190242-sb0mjhzm	23	6	deterministic	deterministic	JJ
cord-190242-sb0mjhzm	23	7	optimal	optimal	JJ
cord-190242-sb0mjhzm	23	8	control	control	NN
cord-190242-sb0mjhzm	23	9	problems	problem	NNS
cord-190242-sb0mjhzm	23	10	is	be	VBZ
cord-190242-sb0mjhzm	23	11	widely	widely	RB
cord-190242-sb0mjhzm	23	12	explored	explore	VBN
cord-190242-sb0mjhzm	23	13	in	in	IN
cord-190242-sb0mjhzm	23	14	the	the	DT
cord-190242-sb0mjhzm	23	15	literature	literature	NN
cord-190242-sb0mjhzm	23	16	of	of	IN
cord-190242-sb0mjhzm	23	17	mathematical	mathematical	JJ
cord-190242-sb0mjhzm	23	18	epidemiology	epidemiology	NN
cord-190242-sb0mjhzm	23	19	.	.	.
cord-190242-sb0mjhzm	24	1	A	a	DT
cord-190242-sb0mjhzm	24	2	detailed	detailed	JJ
cord-190242-sb0mjhzm	24	3	comprehensive	comprehensive	JJ
cord-190242-sb0mjhzm	24	4	literature	literature	NN
cord-190242-sb0mjhzm	24	5	of	of	IN
cord-190242-sb0mjhzm	24	6	optimal	optimal	JJ
cord-190242-sb0mjhzm	24	7	control	control	NN
cord-190242-sb0mjhzm	24	8	models	model	NNS
cord-190242-sb0mjhzm	24	9	in	in	IN
cord-190242-sb0mjhzm	24	10	epidemiological	epidemiological	JJ
cord-190242-sb0mjhzm	24	11	modeling	modeling	NN
cord-190242-sb0mjhzm	24	12	and	and	CC
cord-190242-sb0mjhzm	24	13	numerical	numerical	JJ
cord-190242-sb0mjhzm	24	14	approximation	approximation	NN
cord-190242-sb0mjhzm	24	15	techniques	technique	NNS
cord-190242-sb0mjhzm	24	16	can	can	MD
cord-190242-sb0mjhzm	24	17	be	be	VB
cord-190242-sb0mjhzm	24	18	found	find	VBN
cord-190242-sb0mjhzm	24	19	in	in	IN
cord-190242-sb0mjhzm	24	20	[	[	-LRB-
cord-190242-sb0mjhzm	24	21	10	10	CD
cord-190242-sb0mjhzm	24	22	,	,	,
cord-190242-sb0mjhzm	24	23	24	24	CD
cord-190242-sb0mjhzm	24	24	]	]	-RRB-
cord-190242-sb0mjhzm	24	25	.	.	.
cord-190242-sb0mjhzm	25	1	Several	several	JJ
cord-190242-sb0mjhzm	25	2	works	work	NNS
cord-190242-sb0mjhzm	25	3	in	in	IN
cord-190242-sb0mjhzm	25	4	literature	literature	NN
cord-190242-sb0mjhzm	25	5	reveals	reveal	VBZ
cord-190242-sb0mjhzm	25	6	that	that	IN
cord-190242-sb0mjhzm	25	7	epidemic	epidemic	NN
cord-190242-sb0mjhzm	25	8	models	model	NNS
cord-190242-sb0mjhzm	25	9	that	that	WDT
cord-190242-sb0mjhzm	25	10	are	be	VBP
cord-190242-sb0mjhzm	25	11	constructed	construct	VBN
cord-190242-sb0mjhzm	25	12	with	with	IN
cord-190242-sb0mjhzm	25	13	optimal	optimal	JJ
cord-190242-sb0mjhzm	25	14	control	control	NN
cord-190242-sb0mjhzm	25	15	problems	problem	NNS
cord-190242-sb0mjhzm	25	16	are	be	VBP
cord-190242-sb0mjhzm	25	17	appropriate	appropriate	JJ
cord-190242-sb0mjhzm	25	18	and	and	CC
cord-190242-sb0mjhzm	25	19	very	very	RB
cord-190242-sb0mjhzm	25	20	useful	useful	JJ
cord-190242-sb0mjhzm	25	21	for	for	IN
cord-190242-sb0mjhzm	25	22	suggesting	suggest	VBG
cord-190242-sb0mjhzm	25	23	control	control	NN
cord-190242-sb0mjhzm	25	24	strategies	strategy	NNS
cord-190242-sb0mjhzm	25	25	to	to	TO
cord-190242-sb0mjhzm	25	26	curb	curb	VB
cord-190242-sb0mjhzm	25	27	disease	disease	NN
cord-190242-sb0mjhzm	25	28	spread	spread	VB
cord-190242-sb0mjhzm	25	29	,	,	,
cord-190242-sb0mjhzm	25	30	see	see	VB
cord-190242-sb0mjhzm	25	31	,	,	,
cord-190242-sb0mjhzm	25	32	e.g.	e.g.	RB
cord-190242-sb0mjhzm	25	33	,	,	,
cord-190242-sb0mjhzm	25	34	[	[	-LRB-
cord-190242-sb0mjhzm	25	35	1	1	CD
cord-190242-sb0mjhzm	25	36	,	,	,
cord-190242-sb0mjhzm	25	37	13	13	CD
cord-190242-sb0mjhzm	25	38	,	,	,
cord-190242-sb0mjhzm	25	39	17	17	CD
cord-190242-sb0mjhzm	25	40	,	,	,
cord-190242-sb0mjhzm	25	41	18	18	CD
cord-190242-sb0mjhzm	25	42	]	]	-RRB-
cord-190242-sb0mjhzm	25	43	.	.	.
cord-190242-sb0mjhzm	26	1	The	the	DT
cord-190242-sb0mjhzm	26	2	principal	principal	JJ
cord-190242-sb0mjhzm	26	3	purpose	purpose	NN
cord-190242-sb0mjhzm	26	4	of	of	IN
cord-190242-sb0mjhzm	26	5	this	this	DT
cord-190242-sb0mjhzm	26	6	article	article	NN
cord-190242-sb0mjhzm	26	7	is	be	VBZ
cord-190242-sb0mjhzm	26	8	to	to	TO
cord-190242-sb0mjhzm	26	9	present	present	VB
cord-190242-sb0mjhzm	26	10	control	control	NN
cord-190242-sb0mjhzm	26	11	strategies	strategy	NNS
cord-190242-sb0mjhzm	26	12	for	for	IN
cord-190242-sb0mjhzm	26	13	transmission	transmission	NN
cord-190242-sb0mjhzm	26	14	dynamics	dynamic	NNS
cord-190242-sb0mjhzm	26	15	of	of	IN
cord-190242-sb0mjhzm	26	16	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	26	17	and	and	CC
cord-190242-sb0mjhzm	26	18	to	to	TO
cord-190242-sb0mjhzm	26	19	determine	determine	VB
cord-190242-sb0mjhzm	26	20	strategies	strategy	NNS
cord-190242-sb0mjhzm	26	21	that	that	WDT
cord-190242-sb0mjhzm	26	22	are	be	VBP
cord-190242-sb0mjhzm	26	23	critical	critical	JJ
cord-190242-sb0mjhzm	26	24	even	even	RB
cord-190242-sb0mjhzm	26	25	during	during	IN
cord-190242-sb0mjhzm	26	26	instances	instance	NNS
cord-190242-sb0mjhzm	26	27	of	of	IN
cord-190242-sb0mjhzm	26	28	delay	delay	NN
cord-190242-sb0mjhzm	26	29	in	in	IN
cord-190242-sb0mjhzm	26	30	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	26	31	.	.	.
cord-190242-sb0mjhzm	27	1	In	in	IN
cord-190242-sb0mjhzm	27	2	Section	section	NN
cord-190242-sb0mjhzm	27	3	2	2	CD
cord-190242-sb0mjhzm	27	4	,	,	,
cord-190242-sb0mjhzm	27	5	we	-PRON-	PRP
cord-190242-sb0mjhzm	27	6	formulate	formulate	VBP
cord-190242-sb0mjhzm	27	7	an	an	DT
cord-190242-sb0mjhzm	27	8	optimal	optimal	JJ
cord-190242-sb0mjhzm	27	9	control	control	NN
cord-190242-sb0mjhzm	27	10	model	model	NN
cord-190242-sb0mjhzm	27	11	for	for	IN
cord-190242-sb0mjhzm	27	12	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	27	13	with	with	IN
cord-190242-sb0mjhzm	27	14	four	four	CD
cord-190242-sb0mjhzm	27	15	control	control	NN
cord-190242-sb0mjhzm	27	16	measures	measure	NNS
cord-190242-sb0mjhzm	27	17	.	.	.
cord-190242-sb0mjhzm	28	1	The	the	DT
cord-190242-sb0mjhzm	28	2	analysis	analysis	NN
cord-190242-sb0mjhzm	28	3	of	of	IN
cord-190242-sb0mjhzm	28	4	the	the	DT
cord-190242-sb0mjhzm	28	5	control	control	NN
cord-190242-sb0mjhzm	28	6	model	model	NN
cord-190242-sb0mjhzm	28	7	is	be	VBZ
cord-190242-sb0mjhzm	28	8	presented	present	VBN
cord-190242-sb0mjhzm	28	9	in	in	IN
cord-190242-sb0mjhzm	28	10	Section	section	NN
cord-190242-sb0mjhzm	28	11	3	3	CD
cord-190242-sb0mjhzm	28	12	.	.	.
cord-190242-sb0mjhzm	29	1	In	in	IN
cord-190242-sb0mjhzm	29	2	Section	section	NN
cord-190242-sb0mjhzm	29	3	4	4	CD
cord-190242-sb0mjhzm	29	4	,	,	,
cord-190242-sb0mjhzm	29	5	we	-PRON-	PRP
cord-190242-sb0mjhzm	29	6	present	present	VBP
cord-190242-sb0mjhzm	29	7	the	the	DT
cord-190242-sb0mjhzm	29	8	numerical	numerical	JJ
cord-190242-sb0mjhzm	29	9	results	result	NNS
cord-190242-sb0mjhzm	29	10	of	of	IN
cord-190242-sb0mjhzm	29	11	the	the	DT
cord-190242-sb0mjhzm	29	12	optimal	optimal	JJ
cord-190242-sb0mjhzm	29	13	control	control	NN
cord-190242-sb0mjhzm	29	14	model	model	NN
cord-190242-sb0mjhzm	29	15	.	.	.
cord-190242-sb0mjhzm	30	1	Finally	finally	RB
cord-190242-sb0mjhzm	30	2	,	,	,
cord-190242-sb0mjhzm	30	3	we	-PRON-	PRP
cord-190242-sb0mjhzm	30	4	conlude	conlude	VBP
cord-190242-sb0mjhzm	30	5	in	in	IN
cord-190242-sb0mjhzm	30	6	Section	section	NN
cord-190242-sb0mjhzm	30	7	5	5	CD
cord-190242-sb0mjhzm	30	8	with	with	IN
cord-190242-sb0mjhzm	30	9	discussions	discussion	NNS
cord-190242-sb0mjhzm	30	10	on	on	IN
cord-190242-sb0mjhzm	30	11	the	the	DT
cord-190242-sb0mjhzm	30	12	control	control	NN
cord-190242-sb0mjhzm	30	13	measures	measure	NNS
cord-190242-sb0mjhzm	30	14	.	.	.
cord-190242-sb0mjhzm	31	1	In	in	IN
cord-190242-sb0mjhzm	31	2	this	this	DT
cord-190242-sb0mjhzm	31	3	section	section	NN
cord-190242-sb0mjhzm	31	4	,	,	,
cord-190242-sb0mjhzm	31	5	we	-PRON-	PRP
cord-190242-sb0mjhzm	31	6	formulate	formulate	VBP
cord-190242-sb0mjhzm	31	7	an	an	DT
cord-190242-sb0mjhzm	31	8	optimal	optimal	JJ
cord-190242-sb0mjhzm	31	9	control	control	NN
cord-190242-sb0mjhzm	31	10	model	model	NN
cord-190242-sb0mjhzm	31	11	for	for	IN
cord-190242-sb0mjhzm	31	12	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	31	13	to	to	TO
cord-190242-sb0mjhzm	31	14	derive	derive	VB
cord-190242-sb0mjhzm	31	15	four	four	CD
cord-190242-sb0mjhzm	31	16	control	control	NN
cord-190242-sb0mjhzm	31	17	measures	measure	NNS
cord-190242-sb0mjhzm	31	18	with	with	IN
cord-190242-sb0mjhzm	31	19	minimal	minimal	JJ
cord-190242-sb0mjhzm	31	20	implementation	implementation	NN
cord-190242-sb0mjhzm	31	21	cost	cost	NN
cord-190242-sb0mjhzm	31	22	to	to	TO
cord-190242-sb0mjhzm	31	23	eradicate	eradicate	VB
cord-190242-sb0mjhzm	31	24	the	the	DT
cord-190242-sb0mjhzm	31	25	disease	disease	NN
cord-190242-sb0mjhzm	31	26	after	after	IN
cord-190242-sb0mjhzm	31	27	a	a	DT
cord-190242-sb0mjhzm	31	28	defined	define	VBN
cord-190242-sb0mjhzm	31	29	period	period	NN
cord-190242-sb0mjhzm	31	30	of	of	IN
cord-190242-sb0mjhzm	31	31	time	time	NN
cord-190242-sb0mjhzm	31	32	.	.	.
cord-190242-sb0mjhzm	32	1	Our	-PRON-	PRP$
cord-190242-sb0mjhzm	32	2	new	new	JJ
cord-190242-sb0mjhzm	32	3	epidemiological	epidemiological	JJ
cord-190242-sb0mjhzm	32	4	time	time	NN
cord-190242-sb0mjhzm	32	5	-	-	HYPH
cord-190242-sb0mjhzm	32	6	dependent	dependent	JJ
cord-190242-sb0mjhzm	32	7	control	control	NN
cord-190242-sb0mjhzm	32	8	model	model	NN
cord-190242-sb0mjhzm	32	9	is	be	VBZ
cord-190242-sb0mjhzm	32	10	an	an	DT
cord-190242-sb0mjhzm	32	11	extended	extended	JJ
cord-190242-sb0mjhzm	32	12	and	and	CC
cord-190242-sb0mjhzm	32	13	modified	modify	VBN
cord-190242-sb0mjhzm	32	14	version	version	NN
cord-190242-sb0mjhzm	32	15	of	of	IN
cord-190242-sb0mjhzm	32	16	the	the	DT
cord-190242-sb0mjhzm	32	17	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	32	18	transmission	transmission	NN
cord-190242-sb0mjhzm	32	19	dynamical	dynamical	JJ
cord-190242-sb0mjhzm	32	20	model	model	NN
cord-190242-sb0mjhzm	32	21	introduced	introduce	VBN
cord-190242-sb0mjhzm	32	22	in	in	IN
cord-190242-sb0mjhzm	32	23	[	[	-LRB-
cord-190242-sb0mjhzm	32	24	28	28	CD
cord-190242-sb0mjhzm	32	25	]	]	-RRB-
cord-190242-sb0mjhzm	32	26	.	.	.
cord-190242-sb0mjhzm	33	1	Here	here	RB
cord-190242-sb0mjhzm	33	2	,	,	,
cord-190242-sb0mjhzm	33	3	we	-PRON-	PRP
cord-190242-sb0mjhzm	33	4	note	note	VBP
cord-190242-sb0mjhzm	33	5	that	that	IN
cord-190242-sb0mjhzm	33	6	the	the	DT
cord-190242-sb0mjhzm	33	7	population	population	NN
cord-190242-sb0mjhzm	33	8	is	be	VBZ
cord-190242-sb0mjhzm	33	9	divided	divide	VBN
cord-190242-sb0mjhzm	33	10	into	into	IN
cord-190242-sb0mjhzm	33	11	susceptible	susceptible	JJ
cord-190242-sb0mjhzm	33	12	(	(	-LRB-
cord-190242-sb0mjhzm	33	13	S	S	NNP
cord-190242-sb0mjhzm	33	14	)	)	-RRB-
cord-190242-sb0mjhzm	33	15	,	,	,
cord-190242-sb0mjhzm	33	16	self	self	NN
cord-190242-sb0mjhzm	33	17	-	-	HYPH
cord-190242-sb0mjhzm	33	18	quarantine	quarantine	NN
cord-190242-sb0mjhzm	33	19	susceptible	susceptible	JJ
cord-190242-sb0mjhzm	33	20	(	(	-LRB-
cord-190242-sb0mjhzm	33	21	S	S	NNP
cord-190242-sb0mjhzm	33	22	q	q	NNP
cord-190242-sb0mjhzm	33	23	)	)	-RRB-
cord-190242-sb0mjhzm	33	24	,	,	,
cord-190242-sb0mjhzm	33	25	exposed	expose	VBN
cord-190242-sb0mjhzm	33	26	(	(	-LRB-
cord-190242-sb0mjhzm	33	27	E	E	NNP
cord-190242-sb0mjhzm	33	28	)	)	-RRB-
cord-190242-sb0mjhzm	33	29	,	,	,
cord-190242-sb0mjhzm	33	30	infectious	infectious	JJ
cord-190242-sb0mjhzm	33	31	with	with	IN
cord-190242-sb0mjhzm	33	32	timely	timely	JJ
cord-190242-sb0mjhzm	33	33	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	33	34	(	(	-LRB-
cord-190242-sb0mjhzm	33	35	I	i	NN
cord-190242-sb0mjhzm	33	36	1	1	CD
cord-190242-sb0mjhzm	33	37	)	)	-RRB-
cord-190242-sb0mjhzm	33	38	,	,	,
cord-190242-sb0mjhzm	33	39	infectious	infectious	JJ
cord-190242-sb0mjhzm	33	40	with	with	IN
cord-190242-sb0mjhzm	33	41	delayed	delayed	JJ
cord-190242-sb0mjhzm	33	42	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	33	43	(	(	-LRB-
cord-190242-sb0mjhzm	33	44	I	i	NN
cord-190242-sb0mjhzm	33	45	2	2	CD
cord-190242-sb0mjhzm	33	46	)	)	-RRB-
cord-190242-sb0mjhzm	33	47	,	,	,
cord-190242-sb0mjhzm	33	48	hospitalized	hospitalize	VBN
cord-190242-sb0mjhzm	33	49	(	(	-LRB-
cord-190242-sb0mjhzm	33	50	H	H	NNP
cord-190242-sb0mjhzm	33	51	)	)	-RRB-
cord-190242-sb0mjhzm	33	52	,	,	,
cord-190242-sb0mjhzm	33	53	recovered	recover	VBN
cord-190242-sb0mjhzm	33	54	(	(	-LRB-
cord-190242-sb0mjhzm	33	55	R	r	NN
cord-190242-sb0mjhzm	33	56	)	)	-RRB-
cord-190242-sb0mjhzm	33	57	and	and	CC
cord-190242-sb0mjhzm	33	58	the	the	DT
cord-190242-sb0mjhzm	33	59	viral	viral	JJ
cord-190242-sb0mjhzm	33	60	spread	spread	NN
cord-190242-sb0mjhzm	33	61	in	in	IN
cord-190242-sb0mjhzm	33	62	the	the	DT
cord-190242-sb0mjhzm	33	63	environment	environment	NN
cord-190242-sb0mjhzm	33	64	(	(	-LRB-
cord-190242-sb0mjhzm	33	65	V	v	NN
cord-190242-sb0mjhzm	33	66	)	)	-RRB-
cord-190242-sb0mjhzm	33	67	.	.	.
cord-190242-sb0mjhzm	34	1	Following	follow	VBG
cord-190242-sb0mjhzm	34	2	the	the	DT
cord-190242-sb0mjhzm	34	3	compartmental	compartmental	JJ
cord-190242-sb0mjhzm	34	4	transition	transition	NN
cord-190242-sb0mjhzm	34	5	diagram	diagram	NN
cord-190242-sb0mjhzm	34	6	as	as	IN
cord-190242-sb0mjhzm	34	7	shown	show	VBN
cord-190242-sb0mjhzm	34	8	in	in	IN
cord-190242-sb0mjhzm	34	9	Figure	Figure	NNP
cord-190242-sb0mjhzm	34	10	1	1	CD
cord-190242-sb0mjhzm	34	11	,	,	,
cord-190242-sb0mjhzm	34	12	the	the	DT
cord-190242-sb0mjhzm	34	13	eightstate	eightstate	NN
cord-190242-sb0mjhzm	34	14	dynamical	dynamical	JJ
cord-190242-sb0mjhzm	34	15	model	model	NN
cord-190242-sb0mjhzm	34	16	describing	describe	VBG
cord-190242-sb0mjhzm	34	17	the	the	DT
cord-190242-sb0mjhzm	34	18	transmission	transmission	NN
cord-190242-sb0mjhzm	34	19	dynamics	dynamic	NNS
cord-190242-sb0mjhzm	34	20	of	of	IN
cord-190242-sb0mjhzm	34	21	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	34	22	is	be	VBZ
cord-190242-sb0mjhzm	34	23	given	give	VBN
cord-190242-sb0mjhzm	34	24	by	by	IN
cord-190242-sb0mjhzm	34	25	,	,	,
cord-190242-sb0mjhzm	34	26	see	see	VB
cord-190242-sb0mjhzm	34	27	[	[	-LRB-
cord-190242-sb0mjhzm	34	28	28	28	CD
cord-190242-sb0mjhzm	34	29	]	]	-RRB-
cord-190242-sb0mjhzm	34	30	.	.	.
cord-190242-sb0mjhzm	35	1	where	where	WRB
cord-190242-sb0mjhzm	35	2	β	β	NNP
cord-190242-sb0mjhzm	35	3	e	e	NNP
cord-190242-sb0mjhzm	35	4	,	,	,
cord-190242-sb0mjhzm	35	5	β	β	NN
cord-190242-sb0mjhzm	35	6	i	i	IN
cord-190242-sb0mjhzm	35	7	1	1	CD
cord-190242-sb0mjhzm	35	8	,	,	,
cord-190242-sb0mjhzm	35	9	β	β	NN
cord-190242-sb0mjhzm	35	10	i	i	IN
cord-190242-sb0mjhzm	35	11	2	2	CD
cord-190242-sb0mjhzm	35	12	and	and	CC
cord-190242-sb0mjhzm	35	13	β	β	NN
cord-190242-sb0mjhzm	35	14	v	v	LS
cord-190242-sb0mjhzm	35	15	denote	denote	VB
cord-190242-sb0mjhzm	35	16	the	the	DT
cord-190242-sb0mjhzm	35	17	transmission	transmission	NN
cord-190242-sb0mjhzm	35	18	rates	rate	NNS
cord-190242-sb0mjhzm	35	19	from	from	IN
cord-190242-sb0mjhzm	35	20	the	the	DT
cord-190242-sb0mjhzm	35	21	exposed	expose	VBN
cord-190242-sb0mjhzm	35	22	,	,	,
cord-190242-sb0mjhzm	35	23	infectious	infectious	JJ
cord-190242-sb0mjhzm	35	24	with	with	IN
cord-190242-sb0mjhzm	35	25	timely	timely	JJ
cord-190242-sb0mjhzm	35	26	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	35	27	,	,	,
cord-190242-sb0mjhzm	35	28	infectious	infectious	JJ
cord-190242-sb0mjhzm	35	29	with	with	IN
cord-190242-sb0mjhzm	35	30	delay	delay	NN
cord-190242-sb0mjhzm	35	31	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	35	32	and	and	CC
cord-190242-sb0mjhzm	35	33	virus	virus	NN
cord-190242-sb0mjhzm	35	34	in	in	IN
cord-190242-sb0mjhzm	35	35	the	the	DT
cord-190242-sb0mjhzm	35	36	environment	environment	NN
cord-190242-sb0mjhzm	35	37	to	to	IN
cord-190242-sb0mjhzm	35	38	the	the	DT
cord-190242-sb0mjhzm	35	39	susceptible	susceptible	JJ
cord-190242-sb0mjhzm	35	40	,	,	,
cord-190242-sb0mjhzm	35	41	respectively	respectively	RB
cord-190242-sb0mjhzm	35	42	.	.	.
cord-190242-sb0mjhzm	36	1	Also	also	RB
cord-190242-sb0mjhzm	36	2	f	f	NNP
cord-190242-sb0mjhzm	36	3	i	i	NNP
cord-190242-sb0mjhzm	36	4	,	,	,
cord-190242-sb0mjhzm	36	5	i	i	PRP
cord-190242-sb0mjhzm	36	6	=	=	SYM
cord-190242-sb0mjhzm	36	7	1	1	CD
cord-190242-sb0mjhzm	36	8	,	,	,
cord-190242-sb0mjhzm	36	9	2	2	CD
cord-190242-sb0mjhzm	36	10	,	,	,
cord-190242-sb0mjhzm	36	11	3	3	CD
cord-190242-sb0mjhzm	36	12	is	be	VBZ
cord-190242-sb0mjhzm	36	13	the	the	DT
cord-190242-sb0mjhzm	36	14	rate	rate	NN
cord-190242-sb0mjhzm	36	15	of	of	IN
cord-190242-sb0mjhzm	36	16	virus	virus	NN
cord-190242-sb0mjhzm	36	17	in	in	IN
cord-190242-sb0mjhzm	36	18	the	the	DT
cord-190242-sb0mjhzm	36	19	environment	environment	NN
cord-190242-sb0mjhzm	36	20	from	from	IN
cord-190242-sb0mjhzm	36	21	both	both	CC
cord-190242-sb0mjhzm	36	22	the	the	DT
cord-190242-sb0mjhzm	36	23	exposed	expose	VBN
cord-190242-sb0mjhzm	36	24	and	and	CC
cord-190242-sb0mjhzm	36	25	the	the	DT
cord-190242-sb0mjhzm	36	26	infectious	infectious	JJ
cord-190242-sb0mjhzm	36	27	and	and	CC
cord-190242-sb0mjhzm	36	28	removed	remove	VBN
cord-190242-sb0mjhzm	36	29	at	at	IN
cord-190242-sb0mjhzm	36	30	rate	rate	NN
cord-190242-sb0mjhzm	36	31	d	d	NN
cord-190242-sb0mjhzm	36	32	v	v	NN
cord-190242-sb0mjhzm	36	33	.	.	.
cord-190242-sb0mjhzm	37	1	For	for	IN
cord-190242-sb0mjhzm	37	2	the	the	DT
cord-190242-sb0mjhzm	37	3	rest	rest	NN
cord-190242-sb0mjhzm	37	4	of	of	IN
cord-190242-sb0mjhzm	37	5	the	the	DT
cord-190242-sb0mjhzm	37	6	model	model	NN
cord-190242-sb0mjhzm	37	7	parameters	parameter	NNS
cord-190242-sb0mjhzm	37	8	,	,	,
cord-190242-sb0mjhzm	37	9	we	-PRON-	PRP
cord-190242-sb0mjhzm	37	10	refer	refer	VBP
cord-190242-sb0mjhzm	37	11	the	the	DT
cord-190242-sb0mjhzm	37	12	interested	interested	JJ
cord-190242-sb0mjhzm	37	13	reader	reader	NN
cord-190242-sb0mjhzm	37	14	to	to	TO
cord-190242-sb0mjhzm	37	15	reference	reference	VB
cord-190242-sb0mjhzm	37	16	[	[	-LRB-
cord-190242-sb0mjhzm	37	17	28	28	CD
cord-190242-sb0mjhzm	37	18	]	]	-RRB-
cord-190242-sb0mjhzm	37	19	for	for	IN
cord-190242-sb0mjhzm	37	20	detailed	detailed	JJ
cord-190242-sb0mjhzm	37	21	descriptions	description	NNS
cord-190242-sb0mjhzm	37	22	.	.	.
cord-190242-sb0mjhzm	38	1	Following	follow	VBG
cord-190242-sb0mjhzm	38	2	from	from	IN
cord-190242-sb0mjhzm	38	3	the	the	DT
cord-190242-sb0mjhzm	38	4	system	system	NN
cord-190242-sb0mjhzm	38	5	(	(	-LRB-
cord-190242-sb0mjhzm	38	6	2.1	2.1	CD
cord-190242-sb0mjhzm	38	7	)	)	-RRB-
cord-190242-sb0mjhzm	38	8	,	,	,
cord-190242-sb0mjhzm	38	9	we	-PRON-	PRP
cord-190242-sb0mjhzm	38	10	modified	modify	VBD
cord-190242-sb0mjhzm	38	11	the	the	DT
cord-190242-sb0mjhzm	38	12	transmission	transmission	NN
cord-190242-sb0mjhzm	38	13	rate	rate	NN
cord-190242-sb0mjhzm	38	14	by	by	IN
cord-190242-sb0mjhzm	38	15	reducing	reduce	VBG
cord-190242-sb0mjhzm	38	16	the	the	DT
cord-190242-sb0mjhzm	38	17	factor	factor	NN
cord-190242-sb0mjhzm	38	18	by	by	IN
cord-190242-sb0mjhzm	38	19	(	(	-LRB-
cord-190242-sb0mjhzm	38	20	1	1	CD
cord-190242-sb0mjhzm	38	21	−	−	NN
cord-190242-sb0mjhzm	38	22	u	u	NN
cord-190242-sb0mjhzm	38	23	1	1	CD
cord-190242-sb0mjhzm	38	24	)	)	-RRB-
cord-190242-sb0mjhzm	38	25	,	,	,
cord-190242-sb0mjhzm	38	26	where	where	WRB
cord-190242-sb0mjhzm	38	27	u	u	NNP
cord-190242-sb0mjhzm	38	28	1	1	CD
cord-190242-sb0mjhzm	38	29	measures	measure	NNS
cord-190242-sb0mjhzm	38	30	the	the	DT
cord-190242-sb0mjhzm	38	31	effort	effort	NN
cord-190242-sb0mjhzm	38	32	of	of	IN
cord-190242-sb0mjhzm	38	33	individuals	individual	NNS
cord-190242-sb0mjhzm	38	34	to	to	TO
cord-190242-sb0mjhzm	38	35	protect	protect	VB
cord-190242-sb0mjhzm	38	36	themselves	-PRON-	PRP
cord-190242-sb0mjhzm	38	37	(	(	-LRB-
cord-190242-sb0mjhzm	38	38	i.e.	i.e.	FW
cord-190242-sb0mjhzm	38	39	personal	personal	JJ
cord-190242-sb0mjhzm	38	40	protection	protection	NN
cord-190242-sb0mjhzm	38	41	)	)	-RRB-
cord-190242-sb0mjhzm	38	42	.	.	.
cord-190242-sb0mjhzm	39	1	The	the	DT
cord-190242-sb0mjhzm	39	2	control	control	NN
cord-190242-sb0mjhzm	39	3	variable	variable	NN
cord-190242-sb0mjhzm	39	4	u	u	NNP
cord-190242-sb0mjhzm	39	5	2	2	CD
cord-190242-sb0mjhzm	39	6	measures	measure	VBZ
cord-190242-sb0mjhzm	39	7	the	the	DT
cord-190242-sb0mjhzm	39	8	treatment	treatment	NN
cord-190242-sb0mjhzm	39	9	rate	rate	NN
cord-190242-sb0mjhzm	39	10	of	of	IN
cord-190242-sb0mjhzm	39	11	timely	timely	RB
cord-190242-sb0mjhzm	39	12	diagnosed	diagnose	VBN
cord-190242-sb0mjhzm	39	13	individuals	individual	NNS
cord-190242-sb0mjhzm	39	14	whiles	whiles	NNP
cord-190242-sb0mjhzm	39	15	the	the	DT
cord-190242-sb0mjhzm	39	16	u	u	NNP
cord-190242-sb0mjhzm	39	17	3	3	CD
cord-190242-sb0mjhzm	39	18	measures	measure	VBZ
cord-190242-sb0mjhzm	39	19	the	the	DT
cord-190242-sb0mjhzm	39	20	treatment	treatment	NN
cord-190242-sb0mjhzm	39	21	rate	rate	NN
cord-190242-sb0mjhzm	39	22	of	of	IN
cord-190242-sb0mjhzm	39	23	delayed	delay	VBN
cord-190242-sb0mjhzm	39	24	diagnosed	diagnose	VBN
cord-190242-sb0mjhzm	39	25	individuals	individual	NNS
cord-190242-sb0mjhzm	39	26	.	.	.
cord-190242-sb0mjhzm	40	1	We	-PRON-	PRP
cord-190242-sb0mjhzm	40	2	assume	assume	VBP
cord-190242-sb0mjhzm	40	3	that	that	IN
cord-190242-sb0mjhzm	40	4	u	u	NNP
cord-190242-sb0mjhzm	40	5	2	2	CD
cord-190242-sb0mjhzm	40	6	I	i	NN
cord-190242-sb0mjhzm	40	7	1	1	CD
cord-190242-sb0mjhzm	40	8	and	and	CC
cord-190242-sb0mjhzm	40	9	u	u	NNP
cord-190242-sb0mjhzm	40	10	3	3	CD
cord-190242-sb0mjhzm	40	11	I	i	NN
cord-190242-sb0mjhzm	40	12	2	2	CD
cord-190242-sb0mjhzm	40	13	individuals	individual	NNS
cord-190242-sb0mjhzm	40	14	are	be	VBP
cord-190242-sb0mjhzm	40	15	removed	remove	VBN
cord-190242-sb0mjhzm	40	16	from	from	IN
cord-190242-sb0mjhzm	40	17	the	the	DT
cord-190242-sb0mjhzm	40	18	timely	timely	RB
cord-190242-sb0mjhzm	40	19	diagnosed	diagnose	VBN
cord-190242-sb0mjhzm	40	20	class	class	NN
cord-190242-sb0mjhzm	40	21	and	and	CC
cord-190242-sb0mjhzm	40	22	delayed	delay	VBD
cord-190242-sb0mjhzm	40	23	diagnosed	diagnosed	JJ
cord-190242-sb0mjhzm	40	24	class	class	NN
cord-190242-sb0mjhzm	40	25	and	and	CC
cord-190242-sb0mjhzm	40	26	added	add	VBD
cord-190242-sb0mjhzm	40	27	to	to	IN
cord-190242-sb0mjhzm	40	28	the	the	DT
cord-190242-sb0mjhzm	40	29	Hospitalized	Hospitalized	NNP
cord-190242-sb0mjhzm	40	30	class	class	NN
cord-190242-sb0mjhzm	40	31	.	.	.
cord-190242-sb0mjhzm	41	1	The	the	DT
cord-190242-sb0mjhzm	41	2	fourth	fourth	JJ
cord-190242-sb0mjhzm	41	3	control	control	NN
cord-190242-sb0mjhzm	41	4	variable	variable	NN
cord-190242-sb0mjhzm	41	5	u	u	NNP
cord-190242-sb0mjhzm	41	6	4	4	CD
cord-190242-sb0mjhzm	41	7	measures	measure	NNS
cord-190242-sb0mjhzm	41	8	the	the	DT
cord-190242-sb0mjhzm	41	9	spraying	spraying	NN
cord-190242-sb0mjhzm	41	10	of	of	IN
cord-190242-sb0mjhzm	41	11	the	the	DT
cord-190242-sb0mjhzm	41	12	environment	environment	NN
cord-190242-sb0mjhzm	41	13	to	to	TO
cord-190242-sb0mjhzm	41	14	prevent	prevent	VB
cord-190242-sb0mjhzm	41	15	viral	viral	JJ
cord-190242-sb0mjhzm	41	16	release	release	NN
cord-190242-sb0mjhzm	41	17	.	.	.
cord-190242-sb0mjhzm	42	1	We	-PRON-	PRP
cord-190242-sb0mjhzm	42	2	also	also	RB
cord-190242-sb0mjhzm	42	3	assume	assume	VBP
cord-190242-sb0mjhzm	42	4	that	that	IN
cord-190242-sb0mjhzm	42	5	u	u	NNP
cord-190242-sb0mjhzm	42	6	4	4	CD
cord-190242-sb0mjhzm	42	7	V	v	NN
cord-190242-sb0mjhzm	42	8	virus	virus	NN
cord-190242-sb0mjhzm	42	9	are	be	VBP
cord-190242-sb0mjhzm	42	10	removed	remove	VBN
cord-190242-sb0mjhzm	42	11	from	from	IN
cord-190242-sb0mjhzm	42	12	the	the	DT
cord-190242-sb0mjhzm	42	13	environment	environment	NN
cord-190242-sb0mjhzm	42	14	.	.	.
cord-190242-sb0mjhzm	43	1	We	-PRON-	PRP
cord-190242-sb0mjhzm	43	2	further	further	RB
cord-190242-sb0mjhzm	43	3	assume	assume	VBP
cord-190242-sb0mjhzm	43	4	that	that	IN
cord-190242-sb0mjhzm	43	5	individuals	individual	NNS
cord-190242-sb0mjhzm	43	6	that	that	WDT
cord-190242-sb0mjhzm	43	7	recovers	recover	VBZ
cord-190242-sb0mjhzm	43	8	at	at	IN
cord-190242-sb0mjhzm	43	9	any	any	DT
cord-190242-sb0mjhzm	43	10	time	time	NN
cord-190242-sb0mjhzm	43	11	t	t	NN
cord-190242-sb0mjhzm	43	12	after	after	IN
cord-190242-sb0mjhzm	43	13	hospitalization	hospitalization	NN
cord-190242-sb0mjhzm	43	14	and	and	CC
cord-190242-sb0mjhzm	43	15	treatment	treatment	NN
cord-190242-sb0mjhzm	43	16	are	be	VBP
cord-190242-sb0mjhzm	43	17	removed	remove	VBN
cord-190242-sb0mjhzm	43	18	from	from	IN
cord-190242-sb0mjhzm	43	19	the	the	DT
cord-190242-sb0mjhzm	43	20	hospitalized	hospitalize	VBN
cord-190242-sb0mjhzm	43	21	class	class	NN
cord-190242-sb0mjhzm	43	22	to	to	IN
cord-190242-sb0mjhzm	43	23	the	the	DT
cord-190242-sb0mjhzm	43	24	recovered	recover	VBN
cord-190242-sb0mjhzm	43	25	class	class	NN
cord-190242-sb0mjhzm	43	26	.	.	.
cord-190242-sb0mjhzm	44	1	With	with	IN
cord-190242-sb0mjhzm	44	2	regards	regard	NNS
cord-190242-sb0mjhzm	44	3	to	to	IN
cord-190242-sb0mjhzm	44	4	these	these	DT
cord-190242-sb0mjhzm	44	5	assumptions	assumption	NNS
cord-190242-sb0mjhzm	44	6	,	,	,
cord-190242-sb0mjhzm	44	7	the	the	DT
cord-190242-sb0mjhzm	44	8	dynamics	dynamic	NNS
cord-190242-sb0mjhzm	44	9	of	of	IN
cord-190242-sb0mjhzm	44	10	system	system	NN
cord-190242-sb0mjhzm	44	11	(	(	-LRB-
cord-190242-sb0mjhzm	44	12	2.1	2.1	CD
cord-190242-sb0mjhzm	44	13	)	)	-RRB-
cord-190242-sb0mjhzm	44	14	are	be	VBP
cord-190242-sb0mjhzm	44	15	modified	modify	VBN
cord-190242-sb0mjhzm	44	16	into	into	IN
cord-190242-sb0mjhzm	44	17	the	the	DT
cord-190242-sb0mjhzm	44	18	following	follow	VBG
cord-190242-sb0mjhzm	44	19	system	system	NN
cord-190242-sb0mjhzm	44	20	of	of	IN
cord-190242-sb0mjhzm	44	21	equations	equation	NNS
cord-190242-sb0mjhzm	44	22	:	:	:
cord-190242-sb0mjhzm	44	23	where	where	WRB
cord-190242-sb0mjhzm	44	24	q	q	NNP
cord-190242-sb0mjhzm	44	25	is	be	VBZ
cord-190242-sb0mjhzm	44	26	the	the	DT
cord-190242-sb0mjhzm	44	27	rate	rate	NN
cord-190242-sb0mjhzm	44	28	at	at	IN
cord-190242-sb0mjhzm	44	29	which	which	WDT
cord-190242-sb0mjhzm	44	30	susceptible	susceptible	JJ
cord-190242-sb0mjhzm	44	31	(	(	-LRB-
cord-190242-sb0mjhzm	44	32	S	s	NN
cord-190242-sb0mjhzm	44	33	)	)	-RRB-
cord-190242-sb0mjhzm	44	34	individuals	individual	NNS
cord-190242-sb0mjhzm	44	35	move	move	VBP
cord-190242-sb0mjhzm	44	36	into	into	IN
cord-190242-sb0mjhzm	44	37	self	self	NN
cord-190242-sb0mjhzm	44	38	-	-	HYPH
cord-190242-sb0mjhzm	44	39	quarantine	quarantine	NN
cord-190242-sb0mjhzm	44	40	(	(	-LRB-
cord-190242-sb0mjhzm	44	41	S	S	NNP
cord-190242-sb0mjhzm	44	42	q	q	NNP
cord-190242-sb0mjhzm	44	43	)	)	-RRB-
cord-190242-sb0mjhzm	44	44	and	and	CC
cord-190242-sb0mjhzm	44	45	q	q	NNP
cord-190242-sb0mjhzm	44	46	1	1	CD
cord-190242-sb0mjhzm	44	47	is	be	VBZ
cord-190242-sb0mjhzm	44	48	the	the	DT
cord-190242-sb0mjhzm	44	49	rate	rate	NN
cord-190242-sb0mjhzm	44	50	at	at	IN
cord-190242-sb0mjhzm	44	51	which	which	WDT
cord-190242-sb0mjhzm	44	52	self	self	NN
cord-190242-sb0mjhzm	44	53	-	-	HYPH
cord-190242-sb0mjhzm	44	54	quarantined	quarantine	VBN
cord-190242-sb0mjhzm	44	55	individuals	individual	NNS
cord-190242-sb0mjhzm	44	56	become	become	VBP
cord-190242-sb0mjhzm	44	57	susceptible	susceptible	JJ
cord-190242-sb0mjhzm	44	58	again	again	RB
cord-190242-sb0mjhzm	44	59	.	.	.
cord-190242-sb0mjhzm	45	1	Also	also	RB
cord-190242-sb0mjhzm	45	2	,	,	,
cord-190242-sb0mjhzm	45	3	µ	µ	NN
cord-190242-sb0mjhzm	45	4	is	be	VBZ
cord-190242-sb0mjhzm	45	5	the	the	DT
cord-190242-sb0mjhzm	45	6	death	death	NN
cord-190242-sb0mjhzm	45	7	rate	rate	NN
cord-190242-sb0mjhzm	45	8	and	and	CC
cord-190242-sb0mjhzm	45	9	hospitalized	hospitalize	VBN
cord-190242-sb0mjhzm	45	10	individuals	individual	NNS
cord-190242-sb0mjhzm	45	11	are	be	VBP
cord-190242-sb0mjhzm	45	12	decreased	decrease	VBN
cord-190242-sb0mjhzm	45	13	at	at	IN
cord-190242-sb0mjhzm	45	14	recovery	recovery	NN
cord-190242-sb0mjhzm	45	15	rate	rate	NN
cord-190242-sb0mjhzm	45	16	m.	m.	NN
cord-190242-sb0mjhzm	46	1	In	in	IN
cord-190242-sb0mjhzm	46	2	this	this	DT
cord-190242-sb0mjhzm	46	3	section	section	NN
cord-190242-sb0mjhzm	46	4	,	,	,
cord-190242-sb0mjhzm	46	5	we	-PRON-	PRP
cord-190242-sb0mjhzm	46	6	will	will	MD
cord-190242-sb0mjhzm	46	7	formulate	formulate	VB
cord-190242-sb0mjhzm	46	8	an	an	DT
cord-190242-sb0mjhzm	46	9	objective	objective	JJ
cord-190242-sb0mjhzm	46	10	functional	functional	JJ
cord-190242-sb0mjhzm	46	11	and	and	CC
cord-190242-sb0mjhzm	46	12	present	present	VB
cord-190242-sb0mjhzm	46	13	the	the	DT
cord-190242-sb0mjhzm	46	14	existence	existence	NN
cord-190242-sb0mjhzm	46	15	of	of	IN
cord-190242-sb0mjhzm	46	16	optimal	optimal	JJ
cord-190242-sb0mjhzm	46	17	control	control	NN
cord-190242-sb0mjhzm	46	18	by	by	IN
cord-190242-sb0mjhzm	46	19	means	mean	NNS
cord-190242-sb0mjhzm	46	20	of	of	IN
cord-190242-sb0mjhzm	46	21	Pontryagin	Pontryagin	NNP
cord-190242-sb0mjhzm	46	22	's	's	POS
cord-190242-sb0mjhzm	46	23	Maximum	Maximum	NNP
cord-190242-sb0mjhzm	46	24	Principle	Principle	NNP
cord-190242-sb0mjhzm	46	25	.	.	.
cord-190242-sb0mjhzm	47	1	Given	give	VBN
cord-190242-sb0mjhzm	47	2	the	the	DT
cord-190242-sb0mjhzm	47	3	optimal	optimal	JJ
cord-190242-sb0mjhzm	47	4	control	control	NN
cord-190242-sb0mjhzm	47	5	problem	problem	NN
cord-190242-sb0mjhzm	47	6	(	(	-LRB-
cord-190242-sb0mjhzm	47	7	2.2	2.2	CD
cord-190242-sb0mjhzm	47	8	)	)	-RRB-
cord-190242-sb0mjhzm	47	9	,	,	,
cord-190242-sb0mjhzm	47	10	we	-PRON-	PRP
cord-190242-sb0mjhzm	47	11	prove	prove	VBP
cord-190242-sb0mjhzm	47	12	the	the	DT
cord-190242-sb0mjhzm	47	13	existence	existence	NN
cord-190242-sb0mjhzm	47	14	of	of	IN
cord-190242-sb0mjhzm	47	15	control	control	NN
cord-190242-sb0mjhzm	47	16	problem	problem	NN
cord-190242-sb0mjhzm	47	17	following	follow	VBG
cord-190242-sb0mjhzm	47	18	[	[	-LRB-
cord-190242-sb0mjhzm	47	19	25	25	CD
cord-190242-sb0mjhzm	47	20	]	]	-RRB-
cord-190242-sb0mjhzm	47	21	and	and	CC
cord-190242-sb0mjhzm	47	22	then	then	RB
cord-190242-sb0mjhzm	47	23	characterizing	characterize	VBG
cord-190242-sb0mjhzm	47	24	it	-PRON-	PRP
cord-190242-sb0mjhzm	47	25	for	for	IN
cord-190242-sb0mjhzm	47	26	optimality	optimality	NN
cord-190242-sb0mjhzm	47	27	.	.	.
cord-190242-sb0mjhzm	48	1	The	the	DT
cord-190242-sb0mjhzm	48	2	objective	objective	JJ
cord-190242-sb0mjhzm	48	3	functional	functional	JJ
cord-190242-sb0mjhzm	48	4	J	J	NNP
cord-190242-sb0mjhzm	48	5	formulates	formulate	VBZ
cord-190242-sb0mjhzm	48	6	the	the	DT
cord-190242-sb0mjhzm	48	7	optimization	optimization	NN
cord-190242-sb0mjhzm	48	8	problem	problem	NN
cord-190242-sb0mjhzm	48	9	of	of	IN
cord-190242-sb0mjhzm	48	10	identifying	identify	VBG
cord-190242-sb0mjhzm	48	11	the	the	DT
cord-190242-sb0mjhzm	48	12	most	most	RBS
cord-190242-sb0mjhzm	48	13	effective	effective	JJ
cord-190242-sb0mjhzm	48	14	strategies	strategy	NNS
cord-190242-sb0mjhzm	48	15	.	.	.
cord-190242-sb0mjhzm	49	1	The	the	DT
cord-190242-sb0mjhzm	49	2	overall	overall	JJ
cord-190242-sb0mjhzm	49	3	preselected	preselected	JJ
cord-190242-sb0mjhzm	49	4	objective	objective	NN
cord-190242-sb0mjhzm	49	5	involves	involve	VBZ
cord-190242-sb0mjhzm	49	6	the	the	DT
cord-190242-sb0mjhzm	49	7	minimization	minimization	NN
cord-190242-sb0mjhzm	49	8	of	of	IN
cord-190242-sb0mjhzm	49	9	the	the	DT
cord-190242-sb0mjhzm	49	10	number	number	NN
cord-190242-sb0mjhzm	49	11	of	of	IN
cord-190242-sb0mjhzm	49	12	exposed	expose	VBN
cord-190242-sb0mjhzm	49	13	,	,	,
cord-190242-sb0mjhzm	49	14	delayed	delay	VBN
cord-190242-sb0mjhzm	49	15	diagnosed	diagnose	VBN
cord-190242-sb0mjhzm	49	16	infectious	infectious	JJ
cord-190242-sb0mjhzm	49	17	individuals	individual	NNS
cord-190242-sb0mjhzm	49	18	and	and	CC
cord-190242-sb0mjhzm	49	19	the	the	DT
cord-190242-sb0mjhzm	49	20	viral	viral	JJ
cord-190242-sb0mjhzm	49	21	spread	spread	NN
cord-190242-sb0mjhzm	49	22	in	in	IN
cord-190242-sb0mjhzm	49	23	the	the	DT
cord-190242-sb0mjhzm	49	24	environment	environment	NN
cord-190242-sb0mjhzm	49	25	over	over	IN
cord-190242-sb0mjhzm	49	26	a	a	DT
cord-190242-sb0mjhzm	49	27	finite	finite	JJ
cord-190242-sb0mjhzm	49	28	time	time	NN
cord-190242-sb0mjhzm	49	29	interval	interval	NN
cord-190242-sb0mjhzm	49	30	[	[	-LRB-
cord-190242-sb0mjhzm	49	31	0	0	NFP
cord-190242-sb0mjhzm	49	32	,	,	,
cord-190242-sb0mjhzm	49	33	T	T	NNP
cord-190242-sb0mjhzm	49	34	]	]	-RRB-
cord-190242-sb0mjhzm	49	35	.	.	.
cord-190242-sb0mjhzm	50	1	We	-PRON-	PRP
cord-190242-sb0mjhzm	50	2	define	define	VBP
cord-190242-sb0mjhzm	50	3	the	the	DT
cord-190242-sb0mjhzm	50	4	objective	objective	JJ
cord-190242-sb0mjhzm	50	5	functional	functional	JJ
cord-190242-sb0mjhzm	50	6	J	J	NNP
cord-190242-sb0mjhzm	50	7	,	,	,
cord-190242-sb0mjhzm	50	8	as	as	IN
cord-190242-sb0mjhzm	50	9	follows	follow	VBZ
cord-190242-sb0mjhzm	50	10	We	-PRON-	PRP
cord-190242-sb0mjhzm	50	11	aim	aim	VBP
cord-190242-sb0mjhzm	50	12	to	to	TO
cord-190242-sb0mjhzm	50	13	minimize	minimize	VB
cord-190242-sb0mjhzm	50	14	the	the	DT
cord-190242-sb0mjhzm	50	15	cost	cost	NN
cord-190242-sb0mjhzm	50	16	functional	functional	JJ
cord-190242-sb0mjhzm	50	17	(	(	-LRB-
cord-190242-sb0mjhzm	50	18	3.1	3.1	CD
cord-190242-sb0mjhzm	50	19	)	)	-RRB-
cord-190242-sb0mjhzm	50	20	which	which	WDT
cord-190242-sb0mjhzm	50	21	includes	include	VBZ
cord-190242-sb0mjhzm	50	22	the	the	DT
cord-190242-sb0mjhzm	50	23	number	number	NN
cord-190242-sb0mjhzm	50	24	of	of	IN
cord-190242-sb0mjhzm	50	25	exposed	expose	VBN
cord-190242-sb0mjhzm	50	26	(	(	-LRB-
cord-190242-sb0mjhzm	50	27	E	E	NNP
cord-190242-sb0mjhzm	50	28	)	)	-RRB-
cord-190242-sb0mjhzm	50	29	,	,	,
cord-190242-sb0mjhzm	50	30	infectious	infectious	JJ
cord-190242-sb0mjhzm	50	31	with	with	IN
cord-190242-sb0mjhzm	50	32	delay	delay	NN
cord-190242-sb0mjhzm	50	33	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	50	34	(	(	-LRB-
cord-190242-sb0mjhzm	50	35	I	i	NN
cord-190242-sb0mjhzm	50	36	2	2	CD
cord-190242-sb0mjhzm	50	37	)	)	-RRB-
cord-190242-sb0mjhzm	50	38	,	,	,
cord-190242-sb0mjhzm	50	39	and	and	CC
cord-190242-sb0mjhzm	50	40	the	the	DT
cord-190242-sb0mjhzm	50	41	virus	virus	NN
cord-190242-sb0mjhzm	50	42	in	in	IN
cord-190242-sb0mjhzm	50	43	the	the	DT
cord-190242-sb0mjhzm	50	44	environment	environment	NN
cord-190242-sb0mjhzm	50	45	(	(	-LRB-
cord-190242-sb0mjhzm	50	46	V	V	NNP
cord-190242-sb0mjhzm	50	47	)	)	-RRB-
cord-190242-sb0mjhzm	50	48	,	,	,
cord-190242-sb0mjhzm	50	49	as	as	RB
cord-190242-sb0mjhzm	50	50	well	well	RB
cord-190242-sb0mjhzm	50	51	as	as	IN
cord-190242-sb0mjhzm	50	52	the	the	DT
cord-190242-sb0mjhzm	50	53	social	social	JJ
cord-190242-sb0mjhzm	50	54	costs	cost	NNS
cord-190242-sb0mjhzm	50	55	related	relate	VBN
cord-190242-sb0mjhzm	50	56	to	to	IN
cord-190242-sb0mjhzm	50	57	the	the	DT
cord-190242-sb0mjhzm	50	58	resources	resource	NNS
cord-190242-sb0mjhzm	50	59	needed	need	VBN
cord-190242-sb0mjhzm	50	60	for	for	IN
cord-190242-sb0mjhzm	50	61	personal	personal	JJ
cord-190242-sb0mjhzm	50	62	protection	protection	NN
cord-190242-sb0mjhzm	50	63	C	c	NN
cord-190242-sb0mjhzm	50	64	1	1	CD
cord-190242-sb0mjhzm	50	65	u	u	NNP
cord-190242-sb0mjhzm	50	66	2	2	CD
cord-190242-sb0mjhzm	50	67	1	1	CD
cord-190242-sb0mjhzm	50	68	,	,	,
cord-190242-sb0mjhzm	50	69	early	early	RB
cord-190242-sb0mjhzm	50	70	detected	detect	VBN
cord-190242-sb0mjhzm	50	71	treatment	treatment	NN
cord-190242-sb0mjhzm	50	72	C	c	NN
cord-190242-sb0mjhzm	50	73	2	2	CD
cord-190242-sb0mjhzm	50	74	u	u	NNP
cord-190242-sb0mjhzm	50	75	2	2	CD
cord-190242-sb0mjhzm	50	76	2	2	CD
cord-190242-sb0mjhzm	50	77	,	,	,
cord-190242-sb0mjhzm	50	78	delay	delay	NN
cord-190242-sb0mjhzm	50	79	detected	detect	VBN
cord-190242-sb0mjhzm	50	80	treatment	treatment	NN
cord-190242-sb0mjhzm	50	81	C	c	NN
cord-190242-sb0mjhzm	50	82	3	3	CD
cord-190242-sb0mjhzm	50	83	u	u	NN
cord-190242-sb0mjhzm	50	84	2	2	CD
cord-190242-sb0mjhzm	50	85	3	3	CD
cord-190242-sb0mjhzm	50	86	,	,	,
cord-190242-sb0mjhzm	50	87	and	and	CC
cord-190242-sb0mjhzm	50	88	spraying	spraying	NN
cord-190242-sb0mjhzm	50	89	of	of	IN
cord-190242-sb0mjhzm	50	90	environment	environment	NN
cord-190242-sb0mjhzm	51	1	The	the	DT
cord-190242-sb0mjhzm	51	2	objective	objective	NN
cord-190242-sb0mjhzm	51	3	of	of	IN
cord-190242-sb0mjhzm	51	4	the	the	DT
cord-190242-sb0mjhzm	51	5	control	control	NN
cord-190242-sb0mjhzm	51	6	problem	problem	NN
cord-190242-sb0mjhzm	51	7	is	be	VBZ
cord-190242-sb0mjhzm	51	8	to	to	TO
cord-190242-sb0mjhzm	51	9	seek	seek	VB
cord-190242-sb0mjhzm	51	10	functions	function	NNS
cord-190242-sb0mjhzm	51	11	(	(	-LRB-
cord-190242-sb0mjhzm	51	12	u	u	NNP
cord-190242-sb0mjhzm	51	13	*	*	NNP
cord-190242-sb0mjhzm	51	14	1	1	CD
cord-190242-sb0mjhzm	51	15	(	(	-LRB-
cord-190242-sb0mjhzm	51	16	t	t	NN
cord-190242-sb0mjhzm	51	17	)	)	-RRB-
cord-190242-sb0mjhzm	51	18	,	,	,
cord-190242-sb0mjhzm	51	19	u	u	NNP
cord-190242-sb0mjhzm	51	20	*	*	NFP
cord-190242-sb0mjhzm	51	21	2	2	,
cord-190242-sb0mjhzm	51	22	(	(	-LRB-
cord-190242-sb0mjhzm	51	23	t	t	NN
cord-190242-sb0mjhzm	51	24	)	)	-RRB-
cord-190242-sb0mjhzm	51	25	,	,	,
cord-190242-sb0mjhzm	51	26	u	u	NNP
cord-190242-sb0mjhzm	51	27	*	*	NNP
cord-190242-sb0mjhzm	51	28	3	3	CD
cord-190242-sb0mjhzm	51	29	(	(	-LRB-
cord-190242-sb0mjhzm	51	30	t	t	NN
cord-190242-sb0mjhzm	51	31	)	)	-RRB-
cord-190242-sb0mjhzm	51	32	,	,	.
cord-190242-sb0mjhzm	52	1	u	u	NNP
cord-190242-sb0mjhzm	52	2	*	*	NNP
cord-190242-sb0mjhzm	52	3	4	4	CD
cord-190242-sb0mjhzm	52	4	(	(	-LRB-
cord-190242-sb0mjhzm	52	5	t	t	NN
cord-190242-sb0mjhzm	52	6	)	)	-RRB-
cord-190242-sb0mjhzm	52	7	)	)	-RRB-
cord-190242-sb0mjhzm	53	1	such	such	JJ
cord-190242-sb0mjhzm	53	2	that	that	IN
cord-190242-sb0mjhzm	53	3	where	where	WRB
cord-190242-sb0mjhzm	53	4	the	the	DT
cord-190242-sb0mjhzm	53	5	control	control	NN
cord-190242-sb0mjhzm	53	6	set	set	NN
cord-190242-sb0mjhzm	53	7	is	be	VBZ
cord-190242-sb0mjhzm	53	8	defined	define	VBN
cord-190242-sb0mjhzm	53	9	as	as	IN
cord-190242-sb0mjhzm	53	10	subject	subject	JJ
cord-190242-sb0mjhzm	53	11	to	to	IN
cord-190242-sb0mjhzm	53	12	the	the	DT
cord-190242-sb0mjhzm	53	13	COVID-19	covid-19	JJ
cord-190242-sb0mjhzm	53	14	model	model	NN
cord-190242-sb0mjhzm	53	15	with	with	IN
cord-190242-sb0mjhzm	53	16	controls	control	NNS
cord-190242-sb0mjhzm	53	17	(	(	-LRB-
cord-190242-sb0mjhzm	53	18	2.2	2.2	CD
cord-190242-sb0mjhzm	53	19	)	)	-RRB-
cord-190242-sb0mjhzm	53	20	and	and	CC
cord-190242-sb0mjhzm	53	21	appropriate	appropriate	JJ
cord-190242-sb0mjhzm	53	22	initial	initial	JJ
cord-190242-sb0mjhzm	53	23	conditions	condition	NNS
cord-190242-sb0mjhzm	53	24	.	.	.
cord-190242-sb0mjhzm	54	1	In	in	IN
cord-190242-sb0mjhzm	54	2	the	the	DT
cord-190242-sb0mjhzm	54	3	next	next	JJ
cord-190242-sb0mjhzm	54	4	section	section	NN
cord-190242-sb0mjhzm	54	5	,	,	,
cord-190242-sb0mjhzm	54	6	we	-PRON-	PRP
cord-190242-sb0mjhzm	54	7	prove	prove	VBP
cord-190242-sb0mjhzm	54	8	the	the	DT
cord-190242-sb0mjhzm	54	9	existence	existence	NN
cord-190242-sb0mjhzm	54	10	of	of	IN
cord-190242-sb0mjhzm	54	11	an	an	DT
cord-190242-sb0mjhzm	54	12	optimal	optimal	JJ
cord-190242-sb0mjhzm	54	13	control	control	NN
cord-190242-sb0mjhzm	54	14	for	for	IN
cord-190242-sb0mjhzm	54	15	the	the	DT
cord-190242-sb0mjhzm	54	16	system	system	NN
cord-190242-sb0mjhzm	54	17	(	(	-LRB-
cord-190242-sb0mjhzm	54	18	2.2	2.2	CD
cord-190242-sb0mjhzm	54	19	)	)	-RRB-
cord-190242-sb0mjhzm	54	20	and	and	CC
cord-190242-sb0mjhzm	54	21	then	then	RB
cord-190242-sb0mjhzm	54	22	derive	derive	VB
cord-190242-sb0mjhzm	54	23	the	the	DT
cord-190242-sb0mjhzm	54	24	optimality	optimality	NN
cord-190242-sb0mjhzm	54	25	system	system	NN
cord-190242-sb0mjhzm	54	26	.	.	.
cord-190242-sb0mjhzm	55	1	It	-PRON-	PRP
cord-190242-sb0mjhzm	55	2	is	be	VBZ
cord-190242-sb0mjhzm	55	3	well	well	RB
cord-190242-sb0mjhzm	55	4	known	know	VBN
cord-190242-sb0mjhzm	55	5	that	that	IN
cord-190242-sb0mjhzm	55	6	Pontryagin	Pontryagin	NNP
cord-190242-sb0mjhzm	55	7	's	's	POS
cord-190242-sb0mjhzm	55	8	maximum	maximum	JJ
cord-190242-sb0mjhzm	55	9	principle	principle	NN
cord-190242-sb0mjhzm	55	10	(	(	-LRB-
cord-190242-sb0mjhzm	55	11	PMP	PMP	NNP
cord-190242-sb0mjhzm	55	12	)	)	-RRB-
cord-190242-sb0mjhzm	55	13	is	be	VBZ
cord-190242-sb0mjhzm	55	14	required	require	VBN
cord-190242-sb0mjhzm	55	15	to	to	TO
cord-190242-sb0mjhzm	55	16	solve	solve	VB
cord-190242-sb0mjhzm	55	17	this	this	DT
cord-190242-sb0mjhzm	55	18	control	control	NN
cord-190242-sb0mjhzm	55	19	problem	problem	NN
cord-190242-sb0mjhzm	55	20	and	and	CC
cord-190242-sb0mjhzm	55	21	the	the	DT
cord-190242-sb0mjhzm	55	22	derivation	derivation	NN
cord-190242-sb0mjhzm	55	23	of	of	IN
cord-190242-sb0mjhzm	55	24	the	the	DT
cord-190242-sb0mjhzm	55	25	necessary	necessary	JJ
cord-190242-sb0mjhzm	55	26	conditions	condition	NNS
cord-190242-sb0mjhzm	55	27	[	[	-LRB-
cord-190242-sb0mjhzm	55	28	21	21	CD
cord-190242-sb0mjhzm	55	29	,	,	,
cord-190242-sb0mjhzm	55	30	22	22	CD
cord-190242-sb0mjhzm	55	31	]	]	-RRB-
cord-190242-sb0mjhzm	55	32	.	.	.
cord-190242-sb0mjhzm	56	1	The	the	DT
cord-190242-sb0mjhzm	56	2	necessary	necessary	JJ
cord-190242-sb0mjhzm	56	3	conditions	condition	NNS
cord-190242-sb0mjhzm	56	4	include	include	VBP
cord-190242-sb0mjhzm	56	5	the	the	DT
cord-190242-sb0mjhzm	56	6	optimality	optimality	NN
cord-190242-sb0mjhzm	56	7	solutions	solution	NNS
cord-190242-sb0mjhzm	56	8	and	and	CC
cord-190242-sb0mjhzm	56	9	the	the	DT
cord-190242-sb0mjhzm	56	10	adjoint	adjoint	JJ
cord-190242-sb0mjhzm	56	11	equations	equation	NNS
cord-190242-sb0mjhzm	56	12	that	that	WDT
cord-190242-sb0mjhzm	56	13	an	an	DT
cord-190242-sb0mjhzm	56	14	optimal	optimal	JJ
cord-190242-sb0mjhzm	56	15	control	control	NN
cord-190242-sb0mjhzm	56	16	must	must	MD
cord-190242-sb0mjhzm	56	17	satisfy	satisfy	VB
cord-190242-sb0mjhzm	56	18	which	which	WDT
cord-190242-sb0mjhzm	56	19	come	come	VB
cord-190242-sb0mjhzm	56	20	from	from	IN
cord-190242-sb0mjhzm	56	21	Pontryagin	Pontryagin	NNP
cord-190242-sb0mjhzm	56	22	's	's	POS
cord-190242-sb0mjhzm	56	23	maximum	maximum	JJ
cord-190242-sb0mjhzm	56	24	principle	principle	NN
cord-190242-sb0mjhzm	56	25	[	[	-LRB-
cord-190242-sb0mjhzm	56	26	22	22	CD
cord-190242-sb0mjhzm	56	27	]	]	-RRB-
cord-190242-sb0mjhzm	56	28	.	.	.
cord-190242-sb0mjhzm	57	1	This	this	DT
cord-190242-sb0mjhzm	57	2	principle	principle	NN
cord-190242-sb0mjhzm	57	3	converts	convert	VBZ
cord-190242-sb0mjhzm	57	4	the	the	DT
cord-190242-sb0mjhzm	57	5	control	control	NN
cord-190242-sb0mjhzm	57	6	model	model	NN
cord-190242-sb0mjhzm	57	7	(	(	-LRB-
cord-190242-sb0mjhzm	57	8	2.2	2.2	CD
cord-190242-sb0mjhzm	57	9	)	)	-RRB-
cord-190242-sb0mjhzm	57	10	and	and	CC
cord-190242-sb0mjhzm	57	11	the	the	DT
cord-190242-sb0mjhzm	57	12	objective	objective	JJ
cord-190242-sb0mjhzm	57	13	functional	functional	NN
cord-190242-sb0mjhzm	57	14	(	(	-LRB-
cord-190242-sb0mjhzm	57	15	3.1	3.1	CD
cord-190242-sb0mjhzm	57	16	)	)	-RRB-
cord-190242-sb0mjhzm	57	17	into	into	IN
cord-190242-sb0mjhzm	57	18	a	a	DT
cord-190242-sb0mjhzm	57	19	problem	problem	NN
cord-190242-sb0mjhzm	57	20	of	of	IN
cord-190242-sb0mjhzm	57	21	minimizing	minimize	VBG
cord-190242-sb0mjhzm	57	22	pointwise	pointwise	DT
cord-190242-sb0mjhzm	57	23	Hamiltonian	hamiltonian	JJ
cord-190242-sb0mjhzm	57	24	function	function	NN
cord-190242-sb0mjhzm	57	25	(	(	-LRB-
cord-190242-sb0mjhzm	57	26	3.5	3.5	CD
cord-190242-sb0mjhzm	57	27	)	)	-RRB-
cord-190242-sb0mjhzm	57	28	,	,	,
cord-190242-sb0mjhzm	57	29	which	which	WDT
cord-190242-sb0mjhzm	57	30	is	be	VBZ
cord-190242-sb0mjhzm	57	31	formed	form	VBN
cord-190242-sb0mjhzm	57	32	by	by	IN
cord-190242-sb0mjhzm	57	33	allowing	allow	VBG
cord-190242-sb0mjhzm	57	34	each	each	DT
cord-190242-sb0mjhzm	57	35	of	of	IN
cord-190242-sb0mjhzm	57	36	the	the	DT
cord-190242-sb0mjhzm	57	37	adjoint	adjoint	NN
cord-190242-sb0mjhzm	57	38	variables	variable	NNS
cord-190242-sb0mjhzm	57	39	to	to	TO
cord-190242-sb0mjhzm	57	40	correspond	correspond	VB
cord-190242-sb0mjhzm	57	41	to	to	IN
cord-190242-sb0mjhzm	57	42	each	each	DT
cord-190242-sb0mjhzm	57	43	of	of	IN
cord-190242-sb0mjhzm	57	44	the	the	DT
cord-190242-sb0mjhzm	57	45	state	state	NN
cord-190242-sb0mjhzm	57	46	variables	variable	NNS
cord-190242-sb0mjhzm	57	47	accordingly	accordingly	RB
cord-190242-sb0mjhzm	57	48	and	and	CC
cord-190242-sb0mjhzm	57	49	combining	combine	VBG
cord-190242-sb0mjhzm	57	50	the	the	DT
cord-190242-sb0mjhzm	57	51	results	result	NNS
cord-190242-sb0mjhzm	57	52	with	with	IN
cord-190242-sb0mjhzm	57	53	the	the	DT
cord-190242-sb0mjhzm	57	54	objective	objective	JJ
cord-190242-sb0mjhzm	57	55	functional	functional	JJ
cord-190242-sb0mjhzm	57	56	.	.	.
cord-190242-sb0mjhzm	58	1	Theorem	theorem	NN
cord-190242-sb0mjhzm	58	2	1	1	CD
cord-190242-sb0mjhzm	58	3	.	.	.
cord-190242-sb0mjhzm	59	1	Given	give	VBN
cord-190242-sb0mjhzm	59	2	the	the	DT
cord-190242-sb0mjhzm	59	3	objective	objective	JJ
cord-190242-sb0mjhzm	59	4	functional	functional	JJ
cord-190242-sb0mjhzm	59	5	J	J	NNP
cord-190242-sb0mjhzm	59	6	(	(	-LRB-
cord-190242-sb0mjhzm	59	7	u	u	NNP
cord-190242-sb0mjhzm	59	8	1	1	CD
cord-190242-sb0mjhzm	59	9	,	,	,
cord-190242-sb0mjhzm	59	10	u	u	NNP
cord-190242-sb0mjhzm	59	11	2	2	CD
cord-190242-sb0mjhzm	59	12	,	,	,
cord-190242-sb0mjhzm	59	13	u	u	NNP
cord-190242-sb0mjhzm	59	14	3	3	CD
cord-190242-sb0mjhzm	59	15	,	,	,
cord-190242-sb0mjhzm	59	16	u	u	NNP
cord-190242-sb0mjhzm	59	17	4	4	CD
cord-190242-sb0mjhzm	59	18	)	)	-RRB-
cord-190242-sb0mjhzm	59	19	as	as	IN
cord-190242-sb0mjhzm	59	20	in	in	IN
cord-190242-sb0mjhzm	59	21	(	(	-LRB-
cord-190242-sb0mjhzm	59	22	3.1	3.1	CD
cord-190242-sb0mjhzm	59	23	)	)	-RRB-
cord-190242-sb0mjhzm	59	24	,	,	,
cord-190242-sb0mjhzm	59	25	where	where	WRB
cord-190242-sb0mjhzm	59	26	the	the	DT
cord-190242-sb0mjhzm	59	27	control	control	NN
cord-190242-sb0mjhzm	59	28	set	set	VBD
cord-190242-sb0mjhzm	59	29	U	U	NNP
cord-190242-sb0mjhzm	59	30	given	give	VBN
cord-190242-sb0mjhzm	59	31	by	by	IN
cord-190242-sb0mjhzm	59	32	(	(	-LRB-
cord-190242-sb0mjhzm	59	33	3.3	3.3	CD
cord-190242-sb0mjhzm	59	34	)	)	-RRB-
cord-190242-sb0mjhzm	59	35	is	be	VBZ
cord-190242-sb0mjhzm	59	36	measurable	measurable	JJ
cord-190242-sb0mjhzm	59	37	subject	subject	NN
cord-190242-sb0mjhzm	59	38	to	to	IN
cord-190242-sb0mjhzm	59	39	(	(	-LRB-
cord-190242-sb0mjhzm	59	40	2.2	2.2	CD
cord-190242-sb0mjhzm	59	41	)	)	-RRB-
cord-190242-sb0mjhzm	59	42	with	with	IN
cord-190242-sb0mjhzm	59	43	initial	initial	JJ
cord-190242-sb0mjhzm	59	44	conditions	condition	NNS
cord-190242-sb0mjhzm	59	45	given	give	VBN
cord-190242-sb0mjhzm	59	46	at	at	IN
cord-190242-sb0mjhzm	59	47	t	t	NN
cord-190242-sb0mjhzm	59	48	=	=	SYM
cord-190242-sb0mjhzm	59	49	0	0	NFP
cord-190242-sb0mjhzm	59	50	,	,	,
cord-190242-sb0mjhzm	59	51	then	then	RB
cord-190242-sb0mjhzm	59	52	there	there	EX
cord-190242-sb0mjhzm	59	53	exists	exist	VBZ
cord-190242-sb0mjhzm	59	54	an	an	DT
cord-190242-sb0mjhzm	59	55	optimal	optimal	JJ
cord-190242-sb0mjhzm	59	56	control	control	NN
cord-190242-sb0mjhzm	60	1	u	u	NNP
cord-190242-sb0mjhzm	61	1	*	*	NFP
cord-190242-sb0mjhzm	61	2	=	=	NFP
cord-190242-sb0mjhzm	61	3	(	(	-LRB-
cord-190242-sb0mjhzm	61	4	u	u	NNP
cord-190242-sb0mjhzm	61	5	*	*	NNP
cord-190242-sb0mjhzm	61	6	1	1	CD
cord-190242-sb0mjhzm	61	7	(	(	-LRB-
cord-190242-sb0mjhzm	61	8	t	t	NN
cord-190242-sb0mjhzm	61	9	)	)	-RRB-
cord-190242-sb0mjhzm	61	10	,	,	,
cord-190242-sb0mjhzm	61	11	u	u	NNP
cord-190242-sb0mjhzm	61	12	*	*	NFP
cord-190242-sb0mjhzm	61	13	2	2	,
cord-190242-sb0mjhzm	61	14	(	(	-LRB-
cord-190242-sb0mjhzm	61	15	t	t	NN
cord-190242-sb0mjhzm	61	16	)	)	-RRB-
cord-190242-sb0mjhzm	61	17	,	,	.
cord-190242-sb0mjhzm	62	1	u	u	NNP
cord-190242-sb0mjhzm	62	2	*	*	NNP
cord-190242-sb0mjhzm	62	3	3	3	CD
cord-190242-sb0mjhzm	62	4	(	(	-LRB-
cord-190242-sb0mjhzm	62	5	t	t	NN
cord-190242-sb0mjhzm	62	6	)	)	-RRB-
cord-190242-sb0mjhzm	62	7	,	,	.
cord-190242-sb0mjhzm	63	1	u	u	NNP
cord-190242-sb0mjhzm	63	2	*	*	NNP
cord-190242-sb0mjhzm	63	3	4	4	CD
cord-190242-sb0mjhzm	63	4	(	(	-LRB-
cord-190242-sb0mjhzm	63	5	t	t	NN
cord-190242-sb0mjhzm	63	6	)	)	-RRB-
cord-190242-sb0mjhzm	63	7	)	)	-RRB-
cord-190242-sb0mjhzm	63	8	such	such	JJ
cord-190242-sb0mjhzm	63	9	that	that	IN
cord-190242-sb0mjhzm	63	10	J	J	NNP
cord-190242-sb0mjhzm	64	1	(	(	-LRB-
cord-190242-sb0mjhzm	64	2	u	u	NNP
cord-190242-sb0mjhzm	64	3	*	*	NNP
cord-190242-sb0mjhzm	64	4	1	1	CD
cord-190242-sb0mjhzm	64	5	(	(	-LRB-
cord-190242-sb0mjhzm	64	6	t	t	NN
cord-190242-sb0mjhzm	64	7	)	)	-RRB-
cord-190242-sb0mjhzm	64	8	,	,	,
cord-190242-sb0mjhzm	64	9	u	u	NNP
cord-190242-sb0mjhzm	64	10	*	*	NFP
cord-190242-sb0mjhzm	64	11	2	2	,
cord-190242-sb0mjhzm	64	12	(	(	-LRB-
cord-190242-sb0mjhzm	64	13	t	t	NN
cord-190242-sb0mjhzm	64	14	)	)	-RRB-
cord-190242-sb0mjhzm	64	15	,	,	.
cord-190242-sb0mjhzm	65	1	u	u	NNP
cord-190242-sb0mjhzm	65	2	*	*	NNP
cord-190242-sb0mjhzm	65	3	3	3	CD
cord-190242-sb0mjhzm	65	4	(	(	-LRB-
cord-190242-sb0mjhzm	65	5	t	t	NN
cord-190242-sb0mjhzm	65	6	)	)	-RRB-
cord-190242-sb0mjhzm	65	7	,	,	.
cord-190242-sb0mjhzm	66	1	u	u	NNP
cord-190242-sb0mjhzm	66	2	*	*	NNP
cord-190242-sb0mjhzm	66	3	4	4	CD
cord-190242-sb0mjhzm	66	4	(	(	-LRB-
cord-190242-sb0mjhzm	66	5	t	t	NN
cord-190242-sb0mjhzm	66	6	)	)	-RRB-
cord-190242-sb0mjhzm	66	7	)	)	-RRB-
cord-190242-sb0mjhzm	66	8	:	:	:
cord-190242-sb0mjhzm	67	1	=	=	NFP
cord-190242-sb0mjhzm	68	1	min{J	min{j	LS
cord-190242-sb0mjhzm	68	2	(	(	-LRB-
cord-190242-sb0mjhzm	69	1	u	u	NNP
cord-190242-sb0mjhzm	69	2	1	1	CD
cord-190242-sb0mjhzm	69	3	,	,	,
cord-190242-sb0mjhzm	69	4	u	u	NNP
cord-190242-sb0mjhzm	69	5	2	2	CD
cord-190242-sb0mjhzm	69	6	,	,	,
cord-190242-sb0mjhzm	69	7	u	u	NNP
cord-190242-sb0mjhzm	69	8	3	3	CD
cord-190242-sb0mjhzm	69	9	,	,	,
cord-190242-sb0mjhzm	69	10	u	u	NNP
cord-190242-sb0mjhzm	69	11	4	4	CD
cord-190242-sb0mjhzm	69	12	)	)	-RRB-
cord-190242-sb0mjhzm	69	13	,	,	,
cord-190242-sb0mjhzm	69	14	(	(	-LRB-
cord-190242-sb0mjhzm	69	15	u	u	NNP
cord-190242-sb0mjhzm	69	16	1	1	CD
cord-190242-sb0mjhzm	69	17	,	,	,
cord-190242-sb0mjhzm	69	18	u	u	NNP
cord-190242-sb0mjhzm	69	19	2	2	CD
cord-190242-sb0mjhzm	69	20	,	,	,
cord-190242-sb0mjhzm	69	21	u	u	NNP
cord-190242-sb0mjhzm	69	22	3	3	CD
cord-190242-sb0mjhzm	69	23	,	,	,
cord-190242-sb0mjhzm	69	24	u	u	NNP
cord-190242-sb0mjhzm	69	25	4	4	CD
cord-190242-sb0mjhzm	69	26	)	)	-RRB-
cord-190242-sb0mjhzm	69	27	∈	∈	NN
cord-190242-sb0mjhzm	69	28	U	u	NN
cord-190242-sb0mjhzm	69	29	}	}	-RRB-
cord-190242-sb0mjhzm	69	30	.	.	.
cord-190242-sb0mjhzm	70	1	Proof	proof	NN
cord-190242-sb0mjhzm	70	2	.	.	.
cord-190242-sb0mjhzm	71	1	The	the	DT
cord-190242-sb0mjhzm	71	2	existence	existence	NN
cord-190242-sb0mjhzm	71	3	of	of	IN
cord-190242-sb0mjhzm	71	4	an	an	DT
cord-190242-sb0mjhzm	71	5	optimal	optimal	JJ
cord-190242-sb0mjhzm	71	6	control	control	NN
cord-190242-sb0mjhzm	71	7	due	due	IN
cord-190242-sb0mjhzm	71	8	to	to	IN
cord-190242-sb0mjhzm	71	9	the	the	DT
cord-190242-sb0mjhzm	71	10	convexity	convexity	NN
cord-190242-sb0mjhzm	71	11	of	of	IN
cord-190242-sb0mjhzm	71	12	the	the	DT
cord-190242-sb0mjhzm	71	13	integrand	integrand	NN
cord-190242-sb0mjhzm	71	14	of	of	IN
cord-190242-sb0mjhzm	71	15	J	J	NNP
cord-190242-sb0mjhzm	71	16	with	with	IN
cord-190242-sb0mjhzm	71	17	respect	respect	NN
cord-190242-sb0mjhzm	71	18	to	to	IN
cord-190242-sb0mjhzm	71	19	the	the	DT
cord-190242-sb0mjhzm	71	20	control	control	NN
cord-190242-sb0mjhzm	71	21	measures	measure	NNS
cord-190242-sb0mjhzm	71	22	u	u	NNP
cord-190242-sb0mjhzm	71	23	i	i	NNP
cord-190242-sb0mjhzm	71	24	,	,	,
cord-190242-sb0mjhzm	71	25	i	i	PRP
cord-190242-sb0mjhzm	71	26	=	=	SYM
cord-190242-sb0mjhzm	71	27	1	1	CD
cord-190242-sb0mjhzm	71	28	,	,	,
cord-190242-sb0mjhzm	71	29	.	.	.
cord-190242-sb0mjhzm	71	30	.	.	.
cord-190242-sb0mjhzm	71	31	.	.	.
cord-190242-sb0mjhzm	71	32	,	,	,
cord-190242-sb0mjhzm	71	33	4	4	CD
cord-190242-sb0mjhzm	71	34	,	,	,
cord-190242-sb0mjhzm	71	35	an	an	DT
cord-190242-sb0mjhzm	71	36	a	a	FW
cord-190242-sb0mjhzm	71	37	priori	priori	FW
cord-190242-sb0mjhzm	71	38	boundedness	boundedness	NN
cord-190242-sb0mjhzm	71	39	of	of	IN
cord-190242-sb0mjhzm	71	40	the	the	DT
cord-190242-sb0mjhzm	71	41	solutions	solution	NNS
cord-190242-sb0mjhzm	71	42	of	of	IN
cord-190242-sb0mjhzm	71	43	both	both	CC
cord-190242-sb0mjhzm	71	44	the	the	DT
cord-190242-sb0mjhzm	71	45	state	state	NN
cord-190242-sb0mjhzm	71	46	and	and	CC
cord-190242-sb0mjhzm	71	47	adjoint	adjoint	NN
cord-190242-sb0mjhzm	71	48	equations	equation	NNS
cord-190242-sb0mjhzm	71	49	and	and	CC
cord-190242-sb0mjhzm	71	50	the	the	DT
cord-190242-sb0mjhzm	71	51	Lipchitz	Lipchitz	NNP
cord-190242-sb0mjhzm	71	52	property	property	NN
cord-190242-sb0mjhzm	71	53	of	of	IN
cord-190242-sb0mjhzm	71	54	the	the	DT
cord-190242-sb0mjhzm	71	55	state	state	NN
cord-190242-sb0mjhzm	71	56	system	system	NN
cord-190242-sb0mjhzm	71	57	with	with	IN
cord-190242-sb0mjhzm	71	58	respect	respect	NN
cord-190242-sb0mjhzm	71	59	to	to	IN
cord-190242-sb0mjhzm	71	60	the	the	DT
cord-190242-sb0mjhzm	71	61	state	state	NN
cord-190242-sb0mjhzm	71	62	variables	variable	NNS
cord-190242-sb0mjhzm	71	63	follows	follow	VBZ
cord-190242-sb0mjhzm	71	64	from	from	IN
cord-190242-sb0mjhzm	71	65	[	[	-LRB-
cord-190242-sb0mjhzm	71	66	6	6	CD
cord-190242-sb0mjhzm	71	67	]	]	-RRB-
cord-190242-sb0mjhzm	71	68	.	.	.
cord-190242-sb0mjhzm	72	1	To	to	TO
cord-190242-sb0mjhzm	72	2	find	find	VB
cord-190242-sb0mjhzm	72	3	the	the	DT
cord-190242-sb0mjhzm	72	4	optimal	optimal	JJ
cord-190242-sb0mjhzm	72	5	solution	solution	NN
cord-190242-sb0mjhzm	72	6	,	,	,
cord-190242-sb0mjhzm	72	7	we	-PRON-	PRP
cord-190242-sb0mjhzm	72	8	need	need	VBP
cord-190242-sb0mjhzm	72	9	the	the	DT
cord-190242-sb0mjhzm	72	10	Lagrangian	Lagrangian	NNP
cord-190242-sb0mjhzm	72	11	(	(	-LRB-
cord-190242-sb0mjhzm	72	12	L	L	NNP
cord-190242-sb0mjhzm	72	13	)	)	-RRB-
cord-190242-sb0mjhzm	72	14	and	and	CC
cord-190242-sb0mjhzm	72	15	Hamiltonian	Hamiltonian	NNP
cord-190242-sb0mjhzm	72	16	(	(	-LRB-
cord-190242-sb0mjhzm	72	17	H	H	NNP
cord-190242-sb0mjhzm	72	18	)	)	-RRB-
cord-190242-sb0mjhzm	72	19	for	for	IN
cord-190242-sb0mjhzm	72	20	the	the	DT
cord-190242-sb0mjhzm	72	21	optimal	optimal	JJ
cord-190242-sb0mjhzm	72	22	control	control	NN
cord-190242-sb0mjhzm	72	23	problem	problem	NN
cord-190242-sb0mjhzm	72	24	(	(	-LRB-
cord-190242-sb0mjhzm	72	25	2.2	2.2	CD
cord-190242-sb0mjhzm	72	26	)	)	-RRB-
cord-190242-sb0mjhzm	72	27	and	and	CC
cord-190242-sb0mjhzm	72	28	(	(	-LRB-
cord-190242-sb0mjhzm	72	29	3.1	3.1	CD
cord-190242-sb0mjhzm	72	30	)	)	-RRB-
cord-190242-sb0mjhzm	72	31	.	.	.
cord-190242-sb0mjhzm	73	1	The	the	DT
cord-190242-sb0mjhzm	73	2	Lagrangian	Lagrangian	NNP
cord-190242-sb0mjhzm	73	3	of	of	IN
cord-190242-sb0mjhzm	73	4	the	the	DT
cord-190242-sb0mjhzm	73	5	control	control	NN
cord-190242-sb0mjhzm	73	6	problem	problem	NN
cord-190242-sb0mjhzm	73	7	is	be	VBZ
cord-190242-sb0mjhzm	73	8	given	give	VBN
cord-190242-sb0mjhzm	73	9	by	by	IN
cord-190242-sb0mjhzm	73	10	Since	since	IN
cord-190242-sb0mjhzm	73	11	we	-PRON-	PRP
cord-190242-sb0mjhzm	73	12	want	want	VBP
cord-190242-sb0mjhzm	73	13	the	the	DT
cord-190242-sb0mjhzm	73	14	minimal	minimal	JJ
cord-190242-sb0mjhzm	73	15	value	value	NN
cord-190242-sb0mjhzm	73	16	of	of	IN
cord-190242-sb0mjhzm	73	17	the	the	DT
cord-190242-sb0mjhzm	73	18	Lagrangian	Lagrangian	NNP
cord-190242-sb0mjhzm	73	19	,	,	,
cord-190242-sb0mjhzm	73	20	we	-PRON-	PRP
cord-190242-sb0mjhzm	73	21	define	define	VBP
cord-190242-sb0mjhzm	73	22	the	the	DT
cord-190242-sb0mjhzm	73	23	Hamiltonian	hamiltonian	JJ
cord-190242-sb0mjhzm	73	24	function	function	NN
cord-190242-sb0mjhzm	73	25	for	for	IN
cord-190242-sb0mjhzm	73	26	the	the	DT
cord-190242-sb0mjhzm	73	27	system	system	NN
cord-190242-sb0mjhzm	73	28	as	as	IN
cord-190242-sb0mjhzm	73	29	where	where	WRB
cord-190242-sb0mjhzm	73	30	λ	λ	NNP
cord-190242-sb0mjhzm	73	31	j	j	NNP
cord-190242-sb0mjhzm	73	32	,	,	,
cord-190242-sb0mjhzm	73	33	j	j	NNP
cord-190242-sb0mjhzm	73	34	∈	∈	NNP
cord-190242-sb0mjhzm	73	35	{	{	-LRB-
cord-190242-sb0mjhzm	73	36	S	S	NNP
cord-190242-sb0mjhzm	73	37	,	,	,
cord-190242-sb0mjhzm	73	38	S	S	NNP
cord-190242-sb0mjhzm	73	39	q	q	NNP
cord-190242-sb0mjhzm	73	40	,	,	,
cord-190242-sb0mjhzm	73	41	E	E	NNP
cord-190242-sb0mjhzm	73	42	,	,	,
cord-190242-sb0mjhzm	73	43	I	-PRON-	PRP
cord-190242-sb0mjhzm	73	44	1	1	CD
cord-190242-sb0mjhzm	73	45	,	,	,
cord-190242-sb0mjhzm	73	46	I	-PRON-	PRP
cord-190242-sb0mjhzm	73	47	2	2	CD
cord-190242-sb0mjhzm	73	48	,	,	,
cord-190242-sb0mjhzm	73	49	H	H	NNP
cord-190242-sb0mjhzm	73	50	,	,	,
cord-190242-sb0mjhzm	73	51	R	r	NN
cord-190242-sb0mjhzm	73	52	,	,	,
cord-190242-sb0mjhzm	73	53	V	v	NN
cord-190242-sb0mjhzm	73	54	}	}	-RRB-
cord-190242-sb0mjhzm	73	55	are	be	VBP
cord-190242-sb0mjhzm	73	56	the	the	DT
cord-190242-sb0mjhzm	73	57	adjoint	adjoint	NN
cord-190242-sb0mjhzm	73	58	variables	variable	NNS
cord-190242-sb0mjhzm	73	59	.	.	.
cord-190242-sb0mjhzm	74	1	Next	next	RB
cord-190242-sb0mjhzm	74	2	,	,	,
cord-190242-sb0mjhzm	74	3	we	-PRON-	PRP
cord-190242-sb0mjhzm	74	4	apply	apply	VBP
cord-190242-sb0mjhzm	74	5	the	the	DT
cord-190242-sb0mjhzm	74	6	necessary	necessary	JJ
cord-190242-sb0mjhzm	74	7	conditions	condition	NNS
cord-190242-sb0mjhzm	74	8	to	to	IN
cord-190242-sb0mjhzm	74	9	the	the	DT
cord-190242-sb0mjhzm	74	10	Hamiltonian	Hamiltonian	NNP
cord-190242-sb0mjhzm	74	11	H	H	NNP
cord-190242-sb0mjhzm	74	12	in	in	IN
cord-190242-sb0mjhzm	74	13	(	(	-LRB-
cord-190242-sb0mjhzm	74	14	3.5	3.5	CD
cord-190242-sb0mjhzm	74	15	)	)	-RRB-
cord-190242-sb0mjhzm	74	16	.	.	.
cord-190242-sb0mjhzm	75	1	Theorem	theorem	NN
cord-190242-sb0mjhzm	75	2	2	2	CD
cord-190242-sb0mjhzm	75	3	.	.	.
cord-190242-sb0mjhzm	76	1	Given	give	VBN
cord-190242-sb0mjhzm	76	2	an	an	DT
cord-190242-sb0mjhzm	76	3	optimal	optimal	JJ
cord-190242-sb0mjhzm	76	4	control	control	NN
cord-190242-sb0mjhzm	77	1	u	u	NNP
cord-190242-sb0mjhzm	77	2	*	*	NFP
cord-190242-sb0mjhzm	77	3	:	:	:
cord-190242-sb0mjhzm	77	4	=	=	NFP
cord-190242-sb0mjhzm	77	5	(	(	-LRB-
cord-190242-sb0mjhzm	77	6	u	u	NNP
cord-190242-sb0mjhzm	77	7	*	*	NNP
cord-190242-sb0mjhzm	77	8	1	1	CD
cord-190242-sb0mjhzm	77	9	,	,	,
cord-190242-sb0mjhzm	78	1	u	u	NNP
cord-190242-sb0mjhzm	78	2	*	*	NNP
cord-190242-sb0mjhzm	78	3	2	2	CD
cord-190242-sb0mjhzm	78	4	,	,	,
cord-190242-sb0mjhzm	78	5	u	u	NNP
cord-190242-sb0mjhzm	78	6	*	*	NNP
cord-190242-sb0mjhzm	78	7	3	3	CD
cord-190242-sb0mjhzm	78	8	,	,	,
cord-190242-sb0mjhzm	78	9	u	u	NNP
cord-190242-sb0mjhzm	78	10	*	*	NNP
cord-190242-sb0mjhzm	78	11	4	4	CD
cord-190242-sb0mjhzm	78	12	)	)	-RRB-
cord-190242-sb0mjhzm	78	13	and	and	CC
cord-190242-sb0mjhzm	78	14	a	a	DT
cord-190242-sb0mjhzm	78	15	solution	solution	NN
cord-190242-sb0mjhzm	79	1	y	y	NNP
cord-190242-sb0mjhzm	79	2	*	*	NFP
cord-190242-sb0mjhzm	79	3	=	=	NFP
cord-190242-sb0mjhzm	79	4	(	(	-LRB-
cord-190242-sb0mjhzm	79	5	S	S	NNP
cord-190242-sb0mjhzm	79	6	*	*	NFP
cord-190242-sb0mjhzm	79	7	,	,	,
cord-190242-sb0mjhzm	79	8	S	S	NNP
cord-190242-sb0mjhzm	80	1	*	*	NFP
cord-190242-sb0mjhzm	80	2	q	q	NNP
cord-190242-sb0mjhzm	80	3	,	,	,
cord-190242-sb0mjhzm	80	4	E	E	NNP
cord-190242-sb0mjhzm	81	1	*	*	NFP
cord-190242-sb0mjhzm	81	2	,	,	,
cord-190242-sb0mjhzm	81	3	I	-PRON-	PRP
cord-190242-sb0mjhzm	82	1	*	*	NFP
cord-190242-sb0mjhzm	82	2	1	1	CD
cord-190242-sb0mjhzm	82	3	,	,	,
cord-190242-sb0mjhzm	82	4	I	-PRON-	PRP
cord-190242-sb0mjhzm	82	5	*	*	NFP
cord-190242-sb0mjhzm	82	6	2	2	CD
cord-190242-sb0mjhzm	82	7	,	,	,
cord-190242-sb0mjhzm	82	8	H	H	NNP
cord-190242-sb0mjhzm	82	9	*	*	NFP
cord-190242-sb0mjhzm	82	10	,	,	,
cord-190242-sb0mjhzm	82	11	R	R	NNP
cord-190242-sb0mjhzm	82	12	*	*	NFP
cord-190242-sb0mjhzm	82	13	,	,	,
cord-190242-sb0mjhzm	82	14	V	V	NNP
cord-190242-sb0mjhzm	82	15	*	*	NFP
cord-190242-sb0mjhzm	82	16	)	)	-RRB-
cord-190242-sb0mjhzm	82	17	of	of	IN
cord-190242-sb0mjhzm	82	18	the	the	DT
cord-190242-sb0mjhzm	82	19	corresponding	corresponding	JJ
cord-190242-sb0mjhzm	82	20	state	state	NN
cord-190242-sb0mjhzm	82	21	system	system	NN
cord-190242-sb0mjhzm	82	22	(	(	-LRB-
cord-190242-sb0mjhzm	82	23	2.2	2.2	CD
cord-190242-sb0mjhzm	82	24	)	)	-RRB-
cord-190242-sb0mjhzm	83	1	,	,	,
cord-190242-sb0mjhzm	83	2	there	there	EX
cord-190242-sb0mjhzm	83	3	exists	exist	VBZ
cord-190242-sb0mjhzm	83	4	adjoint	adjoint	NN
cord-190242-sb0mjhzm	83	5	variable	variable	NN
cord-190242-sb0mjhzm	83	6	λ	λ	NNP
cord-190242-sb0mjhzm	83	7	j	j	NNP
cord-190242-sb0mjhzm	83	8	,	,	,
cord-190242-sb0mjhzm	83	9	j	j	NNP
cord-190242-sb0mjhzm	83	10	∈	∈	NNP
cord-190242-sb0mjhzm	83	11	{	{	-LRB-
cord-190242-sb0mjhzm	83	12	S	S	NNP
cord-190242-sb0mjhzm	83	13	,	,	,
cord-190242-sb0mjhzm	83	14	S	S	NNP
cord-190242-sb0mjhzm	83	15	q	q	NNP
cord-190242-sb0mjhzm	83	16	,	,	,
cord-190242-sb0mjhzm	83	17	E	E	NNP
cord-190242-sb0mjhzm	83	18	,	,	,
cord-190242-sb0mjhzm	83	19	I	-PRON-	PRP
cord-190242-sb0mjhzm	83	20	1	1	CD
cord-190242-sb0mjhzm	83	21	,	,	,
cord-190242-sb0mjhzm	83	22	I	-PRON-	PRP
cord-190242-sb0mjhzm	83	23	2	2	CD
cord-190242-sb0mjhzm	83	24	,	,	,
cord-190242-sb0mjhzm	83	25	H	H	NNP
cord-190242-sb0mjhzm	83	26	,	,	,
cord-190242-sb0mjhzm	83	27	R	r	NN
cord-190242-sb0mjhzm	83	28	,	,	,
cord-190242-sb0mjhzm	83	29	V	v	NN
cord-190242-sb0mjhzm	83	30	}	}	-RRB-
cord-190242-sb0mjhzm	83	31	satisfying	satisfy	VBG
cord-190242-sb0mjhzm	83	32	with	with	IN
cord-190242-sb0mjhzm	83	33	transversality	transversality	NN
cord-190242-sb0mjhzm	83	34	conditions	condition	NNS
cord-190242-sb0mjhzm	83	35	λ	λ	NNP
cord-190242-sb0mjhzm	83	36	j	j	NNP
cord-190242-sb0mjhzm	83	37	(	(	-LRB-
cord-190242-sb0mjhzm	83	38	T	T	NNP
cord-190242-sb0mjhzm	83	39	)	)	-RRB-
cord-190242-sb0mjhzm	83	40	=	=	SYM
cord-190242-sb0mjhzm	83	41	0	0	CD
cord-190242-sb0mjhzm	83	42	,	,	,
cord-190242-sb0mjhzm	83	43	j	j	NNP
cord-190242-sb0mjhzm	83	44	∈	∈	NNP
cord-190242-sb0mjhzm	83	45	{	{	-LRB-
cord-190242-sb0mjhzm	83	46	S	S	NNP
cord-190242-sb0mjhzm	83	47	,	,	,
cord-190242-sb0mjhzm	83	48	S	S	NNP
cord-190242-sb0mjhzm	83	49	q	q	NNP
cord-190242-sb0mjhzm	83	50	,	,	,
cord-190242-sb0mjhzm	83	51	E	E	NNP
cord-190242-sb0mjhzm	83	52	,	,	,
cord-190242-sb0mjhzm	83	53	I	-PRON-	PRP
cord-190242-sb0mjhzm	83	54	1	1	CD
cord-190242-sb0mjhzm	83	55	,	,	,
cord-190242-sb0mjhzm	83	56	I	-PRON-	PRP
cord-190242-sb0mjhzm	83	57	2	2	CD
cord-190242-sb0mjhzm	83	58	,	,	,
cord-190242-sb0mjhzm	83	59	H	H	NNP
cord-190242-sb0mjhzm	83	60	,	,	,
cord-190242-sb0mjhzm	83	61	R	r	NN
cord-190242-sb0mjhzm	83	62	,	,	,
cord-190242-sb0mjhzm	83	63	V	v	NN
cord-190242-sb0mjhzm	83	64	}	}	-RRB-
cord-190242-sb0mjhzm	83	65	.	.	.
cord-190242-sb0mjhzm	84	1	Furthermore	furthermore	RB
cord-190242-sb0mjhzm	84	2	,	,	,
cord-190242-sb0mjhzm	84	3	the	the	DT
cord-190242-sb0mjhzm	84	4	control	control	NN
cord-190242-sb0mjhzm	84	5	functions	function	VBZ
cord-190242-sb0mjhzm	84	6	u	u	NNP
cord-190242-sb0mjhzm	84	7	*	*	NNP
cord-190242-sb0mjhzm	84	8	1	1	CD
cord-190242-sb0mjhzm	84	9	,	,	,
cord-190242-sb0mjhzm	84	10	u	u	NNP
cord-190242-sb0mjhzm	84	11	*	*	NNP
cord-190242-sb0mjhzm	84	12	2	2	CD
cord-190242-sb0mjhzm	84	13	,	,	,
cord-190242-sb0mjhzm	84	14	u	u	NNP
cord-190242-sb0mjhzm	84	15	*	*	NNP
cord-190242-sb0mjhzm	84	16	3	3	CD
cord-190242-sb0mjhzm	84	17	and	and	CC
cord-190242-sb0mjhzm	84	18	u	u	NNP
cord-190242-sb0mjhzm	84	19	*	*	NNP
cord-190242-sb0mjhzm	84	20	4	4	CD
cord-190242-sb0mjhzm	84	21	are	be	VBP
cord-190242-sb0mjhzm	84	22	given	give	VBN
cord-190242-sb0mjhzm	84	23	by	by	IN
cord-190242-sb0mjhzm	84	24	Proof	Proof	NNP
cord-190242-sb0mjhzm	84	25	.	.	.
cord-190242-sb0mjhzm	85	1	The	the	DT
cord-190242-sb0mjhzm	85	2	proof	proof	NN
cord-190242-sb0mjhzm	85	3	methodology	methodology	NN
cord-190242-sb0mjhzm	85	4	follows	follow	VBZ
cord-190242-sb0mjhzm	85	5	similarly	similarly	RB
cord-190242-sb0mjhzm	85	6	as	as	IN
cord-190242-sb0mjhzm	85	7	presented	present	VBN
cord-190242-sb0mjhzm	85	8	by	by	IN
cord-190242-sb0mjhzm	85	9	[	[	-LRB-
cord-190242-sb0mjhzm	85	10	10	10	CD
cord-190242-sb0mjhzm	85	11	]	]	-RRB-
cord-190242-sb0mjhzm	85	12	.	.	.
cord-190242-sb0mjhzm	86	1	In	in	IN
cord-190242-sb0mjhzm	86	2	this	this	DT
cord-190242-sb0mjhzm	86	3	section	section	NN
cord-190242-sb0mjhzm	86	4	,	,	,
cord-190242-sb0mjhzm	86	5	we	-PRON-	PRP
cord-190242-sb0mjhzm	86	6	present	present	VBP
cord-190242-sb0mjhzm	86	7	the	the	DT
cord-190242-sb0mjhzm	86	8	numerical	numerical	JJ
cord-190242-sb0mjhzm	86	9	solutions	solution	NNS
cord-190242-sb0mjhzm	86	10	for	for	IN
cord-190242-sb0mjhzm	86	11	our	-PRON-	PRP$
cord-190242-sb0mjhzm	86	12	optimality	optimality	NN
cord-190242-sb0mjhzm	86	13	problem	problem	NN
cord-190242-sb0mjhzm	86	14	using	use	VBG
cord-190242-sb0mjhzm	86	15	the	the	DT
cord-190242-sb0mjhzm	86	16	fourth	fourth	JJ
cord-190242-sb0mjhzm	86	17	-	-	HYPH
cord-190242-sb0mjhzm	86	18	order	order	NN
cord-190242-sb0mjhzm	86	19	runge	runge	NNP
cord-190242-sb0mjhzm	86	20	-	-	HYPH
cord-190242-sb0mjhzm	86	21	kutta	kutta	NNP
cord-190242-sb0mjhzm	86	22	forward	forward	RB
cord-190242-sb0mjhzm	86	23	-	-	HYPH
cord-190242-sb0mjhzm	86	24	backward	backward	JJ
cord-190242-sb0mjhzm	86	25	sweep	sweep	NN
cord-190242-sb0mjhzm	86	26	method	method	NN
cord-190242-sb0mjhzm	86	27	.	.	.
cord-190242-sb0mjhzm	87	1	This	this	DT
cord-190242-sb0mjhzm	87	2	numerical	numerical	JJ
cord-190242-sb0mjhzm	87	3	scheme	scheme	NN
cord-190242-sb0mjhzm	87	4	is	be	VBZ
cord-190242-sb0mjhzm	87	5	very	very	RB
cord-190242-sb0mjhzm	87	6	efficient	efficient	JJ
cord-190242-sb0mjhzm	87	7	and	and	CC
cord-190242-sb0mjhzm	87	8	has	have	VBZ
cord-190242-sb0mjhzm	87	9	been	be	VBN
cord-190242-sb0mjhzm	87	10	widely	widely	RB
cord-190242-sb0mjhzm	87	11	used	use	VBN
cord-190242-sb0mjhzm	87	12	by	by	IN
cord-190242-sb0mjhzm	87	13	several	several	JJ
cord-190242-sb0mjhzm	87	14	authors	author	NNS
cord-190242-sb0mjhzm	87	15	in	in	IN
cord-190242-sb0mjhzm	87	16	simulating	simulate	VBG
cord-190242-sb0mjhzm	87	17	their	-PRON-	PRP$
cord-190242-sb0mjhzm	87	18	optimal	optimal	JJ
cord-190242-sb0mjhzm	87	19	control	control	NN
cord-190242-sb0mjhzm	87	20	problems	problem	NNS
cord-190242-sb0mjhzm	87	21	[	[	-LRB-
cord-190242-sb0mjhzm	87	22	1	1	CD
cord-190242-sb0mjhzm	87	23	,	,	,
cord-190242-sb0mjhzm	87	24	8	8	CD
cord-190242-sb0mjhzm	87	25	,	,	,
cord-190242-sb0mjhzm	87	26	[	[	-LRB-
cord-190242-sb0mjhzm	87	27	15	15	CD
cord-190242-sb0mjhzm	87	28	]	]	-RRB-
cord-190242-sb0mjhzm	87	29	[	[	-LRB-
cord-190242-sb0mjhzm	87	30	16	16	CD
cord-190242-sb0mjhzm	87	31	]	]	-RRB-
cord-190242-sb0mjhzm	87	32	[	[	-LRB-
cord-190242-sb0mjhzm	87	33	17	17	CD
cord-190242-sb0mjhzm	87	34	]	]	-RRB-
cord-190242-sb0mjhzm	87	35	.	.	.
cord-190242-sb0mjhzm	88	1	The	the	DT
cord-190242-sb0mjhzm	88	2	details	detail	NNS
cord-190242-sb0mjhzm	88	3	of	of	IN
cord-190242-sb0mjhzm	88	4	this	this	DT
cord-190242-sb0mjhzm	88	5	scheme	scheme	NN
cord-190242-sb0mjhzm	88	6	can	can	MD
cord-190242-sb0mjhzm	88	7	be	be	VB
cord-190242-sb0mjhzm	88	8	found	find	VBN
cord-190242-sb0mjhzm	88	9	in	in	IN
cord-190242-sb0mjhzm	88	10	the	the	DT
cord-190242-sb0mjhzm	88	11	monograph	monograph	NN
cord-190242-sb0mjhzm	88	12	[	[	-LRB-
cord-190242-sb0mjhzm	88	13	10	10	CD
cord-190242-sb0mjhzm	88	14	]	]	-RRB-
cord-190242-sb0mjhzm	88	15	.	.	.
cord-190242-sb0mjhzm	89	1	Parameter	parameter	NN
cord-190242-sb0mjhzm	89	2	values	value	NNS
cord-190242-sb0mjhzm	89	3	for	for	IN
cord-190242-sb0mjhzm	89	4	our	-PRON-	PRP$
cord-190242-sb0mjhzm	89	5	numerical	numerical	JJ
cord-190242-sb0mjhzm	89	6	illustrations	illustration	NNS
cord-190242-sb0mjhzm	89	7	are	be	VBP
cord-190242-sb0mjhzm	89	8	adapted	adapt	VBN
cord-190242-sb0mjhzm	89	9	from	from	IN
cord-190242-sb0mjhzm	89	10	[	[	-LRB-
cord-190242-sb0mjhzm	89	11	28	28	CD
cord-190242-sb0mjhzm	89	12	]	]	-RRB-
cord-190242-sb0mjhzm	89	13	where	where	WRB
cord-190242-sb0mjhzm	89	14	the	the	DT
cord-190242-sb0mjhzm	89	15	authors	author	NNS
cord-190242-sb0mjhzm	89	16	used	use	VBD
cord-190242-sb0mjhzm	89	17	data	datum	NNS
cord-190242-sb0mjhzm	89	18	from	from	IN
cord-190242-sb0mjhzm	89	19	the	the	DT
cord-190242-sb0mjhzm	89	20	city	city	NN
cord-190242-sb0mjhzm	89	21	of	of	IN
cord-190242-sb0mjhzm	89	22	Wuhan	Wuhan	NNP
cord-190242-sb0mjhzm	89	23	in	in	IN
cord-190242-sb0mjhzm	89	24	the	the	DT
cord-190242-sb0mjhzm	89	25	Hubei	Hubei	NNP
cord-190242-sb0mjhzm	89	26	province	province	NN
cord-190242-sb0mjhzm	89	27	of	of	IN
cord-190242-sb0mjhzm	89	28	China	China	NNP
cord-190242-sb0mjhzm	89	29	.	.	.
cord-190242-sb0mjhzm	90	1	We	-PRON-	PRP
cord-190242-sb0mjhzm	90	2	assume	assume	VBP
cord-190242-sb0mjhzm	90	3	A	a	DT
cord-190242-sb0mjhzm	90	4	1	1	CD
cord-190242-sb0mjhzm	90	5	=	=	SYM
cord-190242-sb0mjhzm	90	6	5	5	CD
cord-190242-sb0mjhzm	90	7	,	,	,
cord-190242-sb0mjhzm	90	8	A	a	DT
cord-190242-sb0mjhzm	90	9	2	2	CD
cord-190242-sb0mjhzm	90	10	=	=	SYM
cord-190242-sb0mjhzm	90	11	5	5	CD
cord-190242-sb0mjhzm	90	12	,	,	,
cord-190242-sb0mjhzm	90	13	A	a	DT
cord-190242-sb0mjhzm	90	14	3	3	CD
cord-190242-sb0mjhzm	90	15	=	=	SYM
cord-190242-sb0mjhzm	90	16	10	10	CD
cord-190242-sb0mjhzm	90	17	,	,	,
cord-190242-sb0mjhzm	90	18	C	C	NNP
cord-190242-sb0mjhzm	90	19	1	1	CD
cord-190242-sb0mjhzm	90	20	=	=	SYM
cord-190242-sb0mjhzm	90	21	10	10	CD
cord-190242-sb0mjhzm	90	22	,	,	,
cord-190242-sb0mjhzm	90	23	C	C	NNP
cord-190242-sb0mjhzm	90	24	2	2	CD
cord-190242-sb0mjhzm	90	25	=	=	SYM
cord-190242-sb0mjhzm	90	26	30	30	CD
cord-190242-sb0mjhzm	90	27	,	,	,
cord-190242-sb0mjhzm	90	28	C	c	NN
cord-190242-sb0mjhzm	90	29	3	3	CD
cord-190242-sb0mjhzm	90	30	=	=	SYM
cord-190242-sb0mjhzm	90	31	25	25	CD
cord-190242-sb0mjhzm	90	32	and	and	CC
cord-190242-sb0mjhzm	90	33	C	C	NNP
cord-190242-sb0mjhzm	90	34	4	4	CD
cord-190242-sb0mjhzm	90	35	=	=	SYM
cord-190242-sb0mjhzm	90	36	30	30	CD
cord-190242-sb0mjhzm	90	37	.	.	.
cord-190242-sb0mjhzm	91	1	Figure	figure	NN
cord-190242-sb0mjhzm	91	2	2	2	CD
cord-190242-sb0mjhzm	91	3	below	below	IN
cord-190242-sb0mjhzm	91	4	represent	represent	JJ
cord-190242-sb0mjhzm	91	5	profiles	profile	NNS
cord-190242-sb0mjhzm	91	6	of	of	IN
cord-190242-sb0mjhzm	91	7	the	the	DT
cord-190242-sb0mjhzm	91	8	optimal	optimal	JJ
cord-190242-sb0mjhzm	91	9	control	control	NN
cord-190242-sb0mjhzm	91	10	functions	function	NNS
cord-190242-sb0mjhzm	91	11	(	(	-LRB-
cord-190242-sb0mjhzm	91	12	u	u	NNP
cord-190242-sb0mjhzm	91	13	1	1	CD
cord-190242-sb0mjhzm	91	14	,	,	,
cord-190242-sb0mjhzm	91	15	u	u	NNP
cord-190242-sb0mjhzm	91	16	2	2	CD
cord-190242-sb0mjhzm	91	17	,	,	,
cord-190242-sb0mjhzm	91	18	u	u	NNP
cord-190242-sb0mjhzm	91	19	3	3	CD
cord-190242-sb0mjhzm	91	20	,	,	,
cord-190242-sb0mjhzm	91	21	u	u	NNP
cord-190242-sb0mjhzm	91	22	4	4	CD
cord-190242-sb0mjhzm	91	23	)	)	-RRB-
cord-190242-sb0mjhzm	91	24	.	.	.
cord-190242-sb0mjhzm	91	25	 	 	_SP
cord-190242-sb0mjhzm	92	1	In	in	IN
cord-190242-sb0mjhzm	92	2	this	this	DT
cord-190242-sb0mjhzm	92	3	strategy	strategy	NN
cord-190242-sb0mjhzm	92	4	,	,	,
cord-190242-sb0mjhzm	92	5	we	-PRON-	PRP
cord-190242-sb0mjhzm	92	6	consider	consider	VBP
cord-190242-sb0mjhzm	92	7	personal	personal	JJ
cord-190242-sb0mjhzm	92	8	protection	protection	NN
cord-190242-sb0mjhzm	92	9	(	(	-LRB-
cord-190242-sb0mjhzm	92	10	u	u	NNP
cord-190242-sb0mjhzm	92	11	1	1	CD
cord-190242-sb0mjhzm	92	12	=	=	SYM
cord-190242-sb0mjhzm	92	13	0	0	CD
cord-190242-sb0mjhzm	92	14	)	)	-RRB-
cord-190242-sb0mjhzm	92	15	,	,	,
cord-190242-sb0mjhzm	92	16	treatment	treatment	NN
cord-190242-sb0mjhzm	92	17	with	with	IN
cord-190242-sb0mjhzm	92	18	early	early	JJ
cord-190242-sb0mjhzm	92	19	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	93	1	(	(	-LRB-
cord-190242-sb0mjhzm	93	2	u	u	NNP
cord-190242-sb0mjhzm	93	3	2	2	CD
cord-190242-sb0mjhzm	93	4	=	=	SYM
cord-190242-sb0mjhzm	93	5	0	0	CD
cord-190242-sb0mjhzm	93	6	)	)	-RRB-
cord-190242-sb0mjhzm	93	7	,	,	,
cord-190242-sb0mjhzm	93	8	treatment	treatment	NN
cord-190242-sb0mjhzm	93	9	with	with	IN
cord-190242-sb0mjhzm	93	10	delay	delay	NN
cord-190242-sb0mjhzm	93	11	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	94	1	(	(	-LRB-
cord-190242-sb0mjhzm	94	2	u	u	NN
cord-190242-sb0mjhzm	94	3	3	3	CD
cord-190242-sb0mjhzm	94	4	=	=	SYM
cord-190242-sb0mjhzm	94	5	0	0	CD
cord-190242-sb0mjhzm	94	6	)	)	-RRB-
cord-190242-sb0mjhzm	94	7	time	time	NN
cord-190242-sb0mjhzm	94	8	-	-	HYPH
cord-190242-sb0mjhzm	94	9	dependent	dependent	JJ
cord-190242-sb0mjhzm	94	10	control	control	NN
cord-190242-sb0mjhzm	94	11	functions	function	NNS
cord-190242-sb0mjhzm	94	12	to	to	TO
cord-190242-sb0mjhzm	94	13	minimise	minimise	VB
cord-190242-sb0mjhzm	94	14	our	-PRON-	PRP$
cord-190242-sb0mjhzm	94	15	objective	objective	JJ
cord-190242-sb0mjhzm	94	16	functional	functional	JJ
cord-190242-sb0mjhzm	94	17	.	.	.
cord-190242-sb0mjhzm	95	1	Our	-PRON-	PRP$
cord-190242-sb0mjhzm	95	2	main	main	JJ
cord-190242-sb0mjhzm	95	3	aim	aim	NN
cord-190242-sb0mjhzm	95	4	in	in	IN
cord-190242-sb0mjhzm	95	5	this	this	DT
cord-190242-sb0mjhzm	95	6	control	control	NN
cord-190242-sb0mjhzm	95	7	strategy	strategy	NN
cord-190242-sb0mjhzm	95	8	is	be	VBZ
cord-190242-sb0mjhzm	95	9	to	to	TO
cord-190242-sb0mjhzm	95	10	minimise	minimise	VB
cord-190242-sb0mjhzm	95	11	the	the	DT
cord-190242-sb0mjhzm	95	12	number	number	NN
cord-190242-sb0mjhzm	95	13	of	of	IN
cord-190242-sb0mjhzm	95	14	exposed	expose	VBN
cord-190242-sb0mjhzm	95	15	(	(	-LRB-
cord-190242-sb0mjhzm	95	16	E	E	NNP
cord-190242-sb0mjhzm	95	17	)	)	-RRB-
cord-190242-sb0mjhzm	95	18	,	,	,
cord-190242-sb0mjhzm	95	19	infectious	infectious	JJ
cord-190242-sb0mjhzm	95	20	with	with	IN
cord-190242-sb0mjhzm	95	21	delay	delay	NN
cord-190242-sb0mjhzm	95	22	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	95	23	(	(	-LRB-
cord-190242-sb0mjhzm	95	24	I	i	NN
cord-190242-sb0mjhzm	95	25	2	2	CD
cord-190242-sb0mjhzm	95	26	)	)	-RRB-
cord-190242-sb0mjhzm	95	27	and	and	CC
cord-190242-sb0mjhzm	95	28	virus	virus	NN
cord-190242-sb0mjhzm	95	29	in	in	IN
cord-190242-sb0mjhzm	95	30	the	the	DT
cord-190242-sb0mjhzm	95	31	environment	environment	NN
cord-190242-sb0mjhzm	95	32	(	(	-LRB-
cord-190242-sb0mjhzm	95	33	V	v	NN
cord-190242-sb0mjhzm	95	34	)	)	-RRB-
cord-190242-sb0mjhzm	95	35	.	.	.
cord-190242-sb0mjhzm	96	1	In	in	IN
cord-190242-sb0mjhzm	96	2	the	the	DT
cord-190242-sb0mjhzm	96	3	non	non	JJ
cord-190242-sb0mjhzm	96	4	-	-	JJ
cord-190242-sb0mjhzm	96	5	optimal	optimal	JJ
cord-190242-sb0mjhzm	96	6	control	control	NN
cord-190242-sb0mjhzm	96	7	model	model	NN
cord-190242-sb0mjhzm	96	8	(	(	-LRB-
cord-190242-sb0mjhzm	96	9	2.2	2.2	CD
cord-190242-sb0mjhzm	96	10	)	)	-RRB-
cord-190242-sb0mjhzm	96	11	,	,	,
cord-190242-sb0mjhzm	96	12	treatment	treatment	NN
cord-190242-sb0mjhzm	96	13	with	with	IN
cord-190242-sb0mjhzm	96	14	early	early	JJ
cord-190242-sb0mjhzm	96	15	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	96	16	(	(	-LRB-
cord-190242-sb0mjhzm	96	17	γ	γ	NN
cord-190242-sb0mjhzm	96	18	1	1	CD
cord-190242-sb0mjhzm	96	19	=	=	SYM
cord-190242-sb0mjhzm	96	20	u	u	NN
cord-190242-sb0mjhzm	96	21	2	2	CD
cord-190242-sb0mjhzm	96	22	=	=	SYM
cord-190242-sb0mjhzm	96	23	1	1	CD
cord-190242-sb0mjhzm	96	24	2.9	2.9	CD
cord-190242-sb0mjhzm	96	25	)	)	-RRB-
cord-190242-sb0mjhzm	96	26	and	and	CC
cord-190242-sb0mjhzm	96	27	treatment	treatment	NN
cord-190242-sb0mjhzm	96	28	with	with	IN
cord-190242-sb0mjhzm	96	29	delay	delay	NN
cord-190242-sb0mjhzm	96	30	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	96	31	(	(	-LRB-
cord-190242-sb0mjhzm	96	32	γ	γ	NN
cord-190242-sb0mjhzm	96	33	2	2	CD
cord-190242-sb0mjhzm	96	34	=	=	SYM
cord-190242-sb0mjhzm	96	35	u	u	NN
cord-190242-sb0mjhzm	96	36	3	3	CD
cord-190242-sb0mjhzm	96	37	=	=	SYM
cord-190242-sb0mjhzm	96	38	1	1	CD
cord-190242-sb0mjhzm	96	39	10	10	CD
cord-190242-sb0mjhzm	96	40	)	)	-RRB-
cord-190242-sb0mjhzm	96	41	are	be	VBP
cord-190242-sb0mjhzm	96	42	captured	capture	VBN
cord-190242-sb0mjhzm	96	43	as	as	IN
cord-190242-sb0mjhzm	96	44	constant	constant	JJ
cord-190242-sb0mjhzm	96	45	controls	control	NNS
cord-190242-sb0mjhzm	96	46	.	.	.
cord-190242-sb0mjhzm	97	1	Fig	Fig	NNP
cord-190242-sb0mjhzm	97	2	.	.	.
cord-190242-sb0mjhzm	98	1	3	3	LS
cord-190242-sb0mjhzm	98	2	.	.	.
cord-190242-sb0mjhzm	99	1	Solution	solution	NN
cord-190242-sb0mjhzm	99	2	trajectories	trajectory	NNS
cord-190242-sb0mjhzm	99	3	for	for	IN
cord-190242-sb0mjhzm	99	4	Exposed	expose	VBN
cord-190242-sb0mjhzm	99	5	individuals	individual	NNS
cord-190242-sb0mjhzm	99	6	with	with	IN
cord-190242-sb0mjhzm	99	7	varying	vary	VBG
cord-190242-sb0mjhzm	99	8	parameter	parameter	NN
cord-190242-sb0mjhzm	99	9	φ	φ	NN
cord-190242-sb0mjhzm	99	10	=	=	SYM
cord-190242-sb0mjhzm	99	11	0.4	0.4	CD
cord-190242-sb0mjhzm	99	12	,	,	,
cord-190242-sb0mjhzm	99	13	φ	φ	NN
cord-190242-sb0mjhzm	99	14	=	=	SYM
cord-190242-sb0mjhzm	99	15	0.6	0.6	CD
cord-190242-sb0mjhzm	99	16	and	and	CC
cord-190242-sb0mjhzm	99	17	φ	φ	NN
cord-190242-sb0mjhzm	99	18	=	=	SYM
cord-190242-sb0mjhzm	99	19	0.8	0.8	CD
cord-190242-sb0mjhzm	99	20	.	.	.
cord-190242-sb0mjhzm	100	1	The	the	DT
cord-190242-sb0mjhzm	100	2	red	red	JJ
cord-190242-sb0mjhzm	100	3	line	line	NN
cord-190242-sb0mjhzm	100	4	represents	represent	VBZ
cord-190242-sb0mjhzm	100	5	the	the	DT
cord-190242-sb0mjhzm	100	6	controlled	control	VBN
cord-190242-sb0mjhzm	100	7	Exposed	exposed	JJ
cord-190242-sb0mjhzm	100	8	population	population	NN
cord-190242-sb0mjhzm	100	9	whiles	while	NNS
cord-190242-sb0mjhzm	100	10	the	the	DT
cord-190242-sb0mjhzm	100	11	blue	blue	JJ
cord-190242-sb0mjhzm	100	12	line	line	NN
cord-190242-sb0mjhzm	100	13	represents	represent	VBZ
cord-190242-sb0mjhzm	100	14	the	the	DT
cord-190242-sb0mjhzm	100	15	uncontrolled	uncontrolled	JJ
cord-190242-sb0mjhzm	100	16	exposed	expose	VBN
cord-190242-sb0mjhzm	100	17	population	population	NN
cord-190242-sb0mjhzm	100	18	.	.	.
cord-190242-sb0mjhzm	100	19	 	 	_SP
cord-190242-sb0mjhzm	101	1	This	this	DT
cord-190242-sb0mjhzm	101	2	strategy	strategy	NN
cord-190242-sb0mjhzm	101	3	deals	deal	VBZ
cord-190242-sb0mjhzm	101	4	with	with	IN
cord-190242-sb0mjhzm	101	5	treatment	treatment	NN
cord-190242-sb0mjhzm	101	6	control	control	NN
cord-190242-sb0mjhzm	101	7	with	with	IN
cord-190242-sb0mjhzm	101	8	early	early	JJ
cord-190242-sb0mjhzm	101	9	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	102	1	(	(	-LRB-
cord-190242-sb0mjhzm	102	2	u	u	NNP
cord-190242-sb0mjhzm	102	3	2	2	CD
cord-190242-sb0mjhzm	102	4	=	=	SYM
cord-190242-sb0mjhzm	102	5	0	0	CD
cord-190242-sb0mjhzm	102	6	)	)	-RRB-
cord-190242-sb0mjhzm	102	7	and	and	CC
cord-190242-sb0mjhzm	102	8	treatment	treatment	NN
cord-190242-sb0mjhzm	102	9	control	control	NN
cord-190242-sb0mjhzm	102	10	with	with	IN
cord-190242-sb0mjhzm	102	11	delay	delay	NN
cord-190242-sb0mjhzm	102	12	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	103	1	(	(	-LRB-
cord-190242-sb0mjhzm	103	2	u	u	NN
cord-190242-sb0mjhzm	103	3	3	3	CD
cord-190242-sb0mjhzm	103	4	=	=	SYM
cord-190242-sb0mjhzm	103	5	0	0	CD
cord-190242-sb0mjhzm	103	6	)	)	-RRB-
cord-190242-sb0mjhzm	103	7	to	to	TO
cord-190242-sb0mjhzm	103	8	minimise	minimise	VB
cord-190242-sb0mjhzm	103	9	our	-PRON-	PRP$
cord-190242-sb0mjhzm	103	10	objective	objective	JJ
cord-190242-sb0mjhzm	103	11	functional	functional	JJ
cord-190242-sb0mjhzm	103	12	.	.	.
cord-190242-sb0mjhzm	104	1	Our	-PRON-	PRP$
cord-190242-sb0mjhzm	104	2	main	main	JJ
cord-190242-sb0mjhzm	104	3	aim	aim	NN
cord-190242-sb0mjhzm	104	4	in	in	IN
cord-190242-sb0mjhzm	104	5	this	this	DT
cord-190242-sb0mjhzm	104	6	control	control	NN
cord-190242-sb0mjhzm	104	7	strategy	strategy	NN
cord-190242-sb0mjhzm	104	8	is	be	VBZ
cord-190242-sb0mjhzm	104	9	to	to	TO
cord-190242-sb0mjhzm	104	10	minimise	minimise	VB
cord-190242-sb0mjhzm	104	11	the	the	DT
cord-190242-sb0mjhzm	104	12	number	number	NN
cord-190242-sb0mjhzm	104	13	of	of	IN
cord-190242-sb0mjhzm	104	14	exposed	expose	VBN
cord-190242-sb0mjhzm	104	15	(	(	-LRB-
cord-190242-sb0mjhzm	104	16	E	E	NNP
cord-190242-sb0mjhzm	104	17	)	)	-RRB-
cord-190242-sb0mjhzm	104	18	,	,	,
cord-190242-sb0mjhzm	104	19	infectious	infectious	JJ
cord-190242-sb0mjhzm	104	20	with	with	IN
cord-190242-sb0mjhzm	104	21	delay	delay	NN
cord-190242-sb0mjhzm	104	22	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	104	23	(	(	-LRB-
cord-190242-sb0mjhzm	104	24	I	i	NN
cord-190242-sb0mjhzm	104	25	2	2	CD
cord-190242-sb0mjhzm	104	26	)	)	-RRB-
cord-190242-sb0mjhzm	104	27	and	and	CC
cord-190242-sb0mjhzm	104	28	virus	virus	NN
cord-190242-sb0mjhzm	104	29	in	in	IN
cord-190242-sb0mjhzm	104	30	the	the	DT
cord-190242-sb0mjhzm	104	31	environment	environment	NN
cord-190242-sb0mjhzm	104	32	(	(	-LRB-
cord-190242-sb0mjhzm	104	33	V	v	NN
cord-190242-sb0mjhzm	104	34	)	)	-RRB-
cord-190242-sb0mjhzm	104	35	.	.	.
cord-190242-sb0mjhzm	105	1	In	in	IN
cord-190242-sb0mjhzm	105	2	the	the	DT
cord-190242-sb0mjhzm	105	3	non	non	JJ
cord-190242-sb0mjhzm	105	4	-	-	JJ
cord-190242-sb0mjhzm	105	5	optimal	optimal	JJ
cord-190242-sb0mjhzm	105	6	control	control	NN
cord-190242-sb0mjhzm	105	7	model	model	NN
cord-190242-sb0mjhzm	105	8	(	(	-LRB-
cord-190242-sb0mjhzm	105	9	2.2	2.2	CD
cord-190242-sb0mjhzm	105	10	)	)	-RRB-
cord-190242-sb0mjhzm	105	11	,	,	,
cord-190242-sb0mjhzm	105	12	treatment	treatment	NN
cord-190242-sb0mjhzm	105	13	with	with	IN
cord-190242-sb0mjhzm	105	14	early	early	JJ
cord-190242-sb0mjhzm	105	15	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	105	16	(	(	-LRB-
cord-190242-sb0mjhzm	105	17	γ	γ	NN
cord-190242-sb0mjhzm	105	18	1	1	CD
cord-190242-sb0mjhzm	105	19	=	=	SYM
cord-190242-sb0mjhzm	105	20	u	u	NN
cord-190242-sb0mjhzm	105	21	2	2	CD
cord-190242-sb0mjhzm	105	22	=	=	SYM
cord-190242-sb0mjhzm	105	23	1	1	CD
cord-190242-sb0mjhzm	105	24	2.9	2.9	CD
cord-190242-sb0mjhzm	105	25	)	)	-RRB-
cord-190242-sb0mjhzm	105	26	and	and	CC
cord-190242-sb0mjhzm	105	27	treatment	treatment	NN
cord-190242-sb0mjhzm	105	28	with	with	IN
cord-190242-sb0mjhzm	105	29	delay	delay	NN
cord-190242-sb0mjhzm	105	30	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	105	31	(	(	-LRB-
cord-190242-sb0mjhzm	105	32	γ	γ	NN
cord-190242-sb0mjhzm	105	33	2	2	CD
cord-190242-sb0mjhzm	105	34	=	=	SYM
cord-190242-sb0mjhzm	105	35	u	u	NN
cord-190242-sb0mjhzm	105	36	3	3	CD
cord-190242-sb0mjhzm	105	37	=	=	SYM
cord-190242-sb0mjhzm	105	38	1	1	CD
cord-190242-sb0mjhzm	105	39	10	10	CD
cord-190242-sb0mjhzm	105	40	)	)	-RRB-
cord-190242-sb0mjhzm	105	41	are	be	VBP
cord-190242-sb0mjhzm	105	42	captured	capture	VBN
cord-190242-sb0mjhzm	105	43	as	as	IN
cord-190242-sb0mjhzm	105	44	constant	constant	JJ
cord-190242-sb0mjhzm	105	45	controls	control	NNS
cord-190242-sb0mjhzm	105	46	.	.	.
cord-190242-sb0mjhzm	106	1	Fig	Fig	NNP
cord-190242-sb0mjhzm	106	2	.	.	NNP
cord-190242-sb0mjhzm	106	3	6	6	CD
cord-190242-sb0mjhzm	106	4	.	.	.
cord-190242-sb0mjhzm	107	1	Solution	solution	NN
cord-190242-sb0mjhzm	107	2	trajectories	trajectory	NNS
cord-190242-sb0mjhzm	107	3	for	for	IN
cord-190242-sb0mjhzm	107	4	Exposed	expose	VBN
cord-190242-sb0mjhzm	107	5	individuals	individual	NNS
cord-190242-sb0mjhzm	107	6	with	with	IN
cord-190242-sb0mjhzm	107	7	varying	vary	VBG
cord-190242-sb0mjhzm	107	8	parameter	parameter	NN
cord-190242-sb0mjhzm	107	9	φ	φ	NN
cord-190242-sb0mjhzm	107	10	=	=	SYM
cord-190242-sb0mjhzm	107	11	0.4	0.4	CD
cord-190242-sb0mjhzm	107	12	,	,	,
cord-190242-sb0mjhzm	107	13	φ	φ	NN
cord-190242-sb0mjhzm	107	14	=	=	SYM
cord-190242-sb0mjhzm	107	15	0.6	0.6	CD
cord-190242-sb0mjhzm	107	16	and	and	CC
cord-190242-sb0mjhzm	107	17	φ	φ	NN
cord-190242-sb0mjhzm	107	18	=	=	SYM
cord-190242-sb0mjhzm	107	19	0.8	0.8	CD
cord-190242-sb0mjhzm	107	20	.	.	.
cord-190242-sb0mjhzm	108	1	The	the	DT
cord-190242-sb0mjhzm	108	2	red	red	JJ
cord-190242-sb0mjhzm	108	3	line	line	NN
cord-190242-sb0mjhzm	108	4	represents	represent	VBZ
cord-190242-sb0mjhzm	108	5	the	the	DT
cord-190242-sb0mjhzm	108	6	controlled	control	VBN
cord-190242-sb0mjhzm	108	7	exposed	expose	VBN
cord-190242-sb0mjhzm	108	8	population	population	NN
cord-190242-sb0mjhzm	108	9	whiles	while	NNS
cord-190242-sb0mjhzm	109	1	the	the	DT
cord-190242-sb0mjhzm	109	2	blue	blue	JJ
cord-190242-sb0mjhzm	109	3	line	line	NN
cord-190242-sb0mjhzm	109	4	represents	represent	VBZ
cord-190242-sb0mjhzm	109	5	the	the	DT
cord-190242-sb0mjhzm	109	6	uncontrolled	uncontrolled	JJ
cord-190242-sb0mjhzm	109	7	exposed	expose	VBN
cord-190242-sb0mjhzm	109	8	population	population	NN
cord-190242-sb0mjhzm	109	9	.	.	.
cord-190242-sb0mjhzm	109	10	 	 	_SP
cord-190242-sb0mjhzm	110	1	In	in	IN
cord-190242-sb0mjhzm	110	2	this	this	DT
cord-190242-sb0mjhzm	110	3	strategy	strategy	NN
cord-190242-sb0mjhzm	110	4	all	all	PDT
cord-190242-sb0mjhzm	110	5	the	the	DT
cord-190242-sb0mjhzm	110	6	four	four	CD
cord-190242-sb0mjhzm	110	7	time	time	NN
cord-190242-sb0mjhzm	110	8	-	-	HYPH
cord-190242-sb0mjhzm	110	9	dependent	dependent	JJ
cord-190242-sb0mjhzm	110	10	control	control	NN
cord-190242-sb0mjhzm	110	11	functions	function	NNS
cord-190242-sb0mjhzm	110	12	(	(	-LRB-
cord-190242-sb0mjhzm	110	13	u	u	NNP
cord-190242-sb0mjhzm	110	14	1	1	CD
cord-190242-sb0mjhzm	110	15	=	=	SYM
cord-190242-sb0mjhzm	110	16	0	0	CD
cord-190242-sb0mjhzm	110	17	,	,	,
cord-190242-sb0mjhzm	110	18	u	u	NN
cord-190242-sb0mjhzm	110	19	2	2	CD
cord-190242-sb0mjhzm	110	20	=	=	SYM
cord-190242-sb0mjhzm	110	21	0	0	CD
cord-190242-sb0mjhzm	110	22	,	,	,
cord-190242-sb0mjhzm	110	23	u	u	NN
cord-190242-sb0mjhzm	110	24	3	3	CD
cord-190242-sb0mjhzm	110	25	=	=	SYM
cord-190242-sb0mjhzm	110	26	0	0	CD
cord-190242-sb0mjhzm	110	27	,	,	,
cord-190242-sb0mjhzm	110	28	u	u	NN
cord-190242-sb0mjhzm	110	29	4	4	CD
cord-190242-sb0mjhzm	110	30	=	=	SYM
cord-190242-sb0mjhzm	110	31	0	0	CD
cord-190242-sb0mjhzm	110	32	)	)	-RRB-
cord-190242-sb0mjhzm	110	33	proposed	propose	VBN
cord-190242-sb0mjhzm	110	34	in	in	IN
cord-190242-sb0mjhzm	110	35	this	this	DT
cord-190242-sb0mjhzm	110	36	study	study	NN
cord-190242-sb0mjhzm	110	37	are	be	VBP
cord-190242-sb0mjhzm	110	38	incorporated	incorporate	VBN
cord-190242-sb0mjhzm	110	39	into	into	IN
cord-190242-sb0mjhzm	110	40	the	the	DT
cord-190242-sb0mjhzm	110	41	optimal	optimal	JJ
cord-190242-sb0mjhzm	110	42	control	control	NN
cord-190242-sb0mjhzm	110	43	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	110	44	model	model	NN
cord-190242-sb0mjhzm	110	45	problem	problem	NN
cord-190242-sb0mjhzm	110	46	to	to	TO
cord-190242-sb0mjhzm	110	47	minimise	minimise	VB
cord-190242-sb0mjhzm	110	48	the	the	DT
cord-190242-sb0mjhzm	110	49	objective	objective	JJ
cord-190242-sb0mjhzm	110	50	function	function	NN
cord-190242-sb0mjhzm	110	51	.	.	.
cord-190242-sb0mjhzm	111	1	In	in	IN
cord-190242-sb0mjhzm	111	2	the	the	DT
cord-190242-sb0mjhzm	111	3	non	non	JJ
cord-190242-sb0mjhzm	111	4	-	-	JJ
cord-190242-sb0mjhzm	111	5	optimal	optimal	JJ
cord-190242-sb0mjhzm	111	6	control	control	NN
cord-190242-sb0mjhzm	111	7	model	model	NN
cord-190242-sb0mjhzm	111	8	,	,	,
cord-190242-sb0mjhzm	111	9	treatment	treatment	NN
cord-190242-sb0mjhzm	111	10	with	with	IN
cord-190242-sb0mjhzm	111	11	early	early	JJ
cord-190242-sb0mjhzm	111	12	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	111	13	(	(	-LRB-
cord-190242-sb0mjhzm	111	14	γ	γ	NN
cord-190242-sb0mjhzm	111	15	1	1	CD
cord-190242-sb0mjhzm	111	16	=	=	SYM
cord-190242-sb0mjhzm	111	17	u	u	NN
cord-190242-sb0mjhzm	111	18	2	2	CD
cord-190242-sb0mjhzm	111	19	=	=	SYM
cord-190242-sb0mjhzm	111	20	1	1	CD
cord-190242-sb0mjhzm	111	21	2.9	2.9	CD
cord-190242-sb0mjhzm	111	22	)	)	-RRB-
cord-190242-sb0mjhzm	111	23	and	and	CC
cord-190242-sb0mjhzm	111	24	treatment	treatment	NN
cord-190242-sb0mjhzm	111	25	with	with	IN
cord-190242-sb0mjhzm	111	26	delay	delay	NN
cord-190242-sb0mjhzm	111	27	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	111	28	(	(	-LRB-
cord-190242-sb0mjhzm	111	29	γ	γ	NN
cord-190242-sb0mjhzm	111	30	2	2	CD
cord-190242-sb0mjhzm	111	31	=	=	NFP
cord-190242-sb0mjhzm	112	1	u	u	NNP
cord-190242-sb0mjhzm	112	2	3	3	CD
cord-190242-sb0mjhzm	112	3	=	=	SYM
cord-190242-sb0mjhzm	112	4	1	1	CD
cord-190242-sb0mjhzm	112	5	10	10	CD
cord-190242-sb0mjhzm	112	6	)	)	-RRB-
cord-190242-sb0mjhzm	112	7	are	be	VBP
cord-190242-sb0mjhzm	112	8	captured	capture	VBN
cord-190242-sb0mjhzm	112	9	as	as	IN
cord-190242-sb0mjhzm	112	10	constant	constant	JJ
cord-190242-sb0mjhzm	112	11	controls	control	NNS
cord-190242-sb0mjhzm	112	12	.	.	.
cord-190242-sb0mjhzm	113	1	Fig	Fig	NNP
cord-190242-sb0mjhzm	113	2	.	.	NNP
cord-190242-sb0mjhzm	113	3	9	9	CD
cord-190242-sb0mjhzm	113	4	.	.	.
cord-190242-sb0mjhzm	114	1	Solution	solution	NN
cord-190242-sb0mjhzm	114	2	trajectories	trajectory	NNS
cord-190242-sb0mjhzm	114	3	for	for	IN
cord-190242-sb0mjhzm	114	4	Exposed	expose	VBN
cord-190242-sb0mjhzm	114	5	individuals	individual	NNS
cord-190242-sb0mjhzm	114	6	with	with	IN
cord-190242-sb0mjhzm	114	7	varying	vary	VBG
cord-190242-sb0mjhzm	114	8	parameter	parameter	NN
cord-190242-sb0mjhzm	114	9	φ	φ	NN
cord-190242-sb0mjhzm	114	10	=	=	SYM
cord-190242-sb0mjhzm	114	11	0.4	0.4	CD
cord-190242-sb0mjhzm	114	12	,	,	,
cord-190242-sb0mjhzm	114	13	φ	φ	NN
cord-190242-sb0mjhzm	114	14	=	=	SYM
cord-190242-sb0mjhzm	114	15	0.6	0.6	CD
cord-190242-sb0mjhzm	114	16	and	and	CC
cord-190242-sb0mjhzm	114	17	φ	φ	NN
cord-190242-sb0mjhzm	114	18	=	=	SYM
cord-190242-sb0mjhzm	114	19	0.8	0.8	CD
cord-190242-sb0mjhzm	114	20	.	.	.
cord-190242-sb0mjhzm	115	1	The	the	DT
cord-190242-sb0mjhzm	115	2	red	red	JJ
cord-190242-sb0mjhzm	115	3	line	line	NN
cord-190242-sb0mjhzm	115	4	represents	represent	VBZ
cord-190242-sb0mjhzm	115	5	the	the	DT
cord-190242-sb0mjhzm	115	6	controlled	control	VBN
cord-190242-sb0mjhzm	115	7	Exposed	exposed	JJ
cord-190242-sb0mjhzm	115	8	population	population	NN
cord-190242-sb0mjhzm	115	9	whiles	while	NNS
cord-190242-sb0mjhzm	115	10	the	the	DT
cord-190242-sb0mjhzm	115	11	blue	blue	JJ
cord-190242-sb0mjhzm	115	12	line	line	NN
cord-190242-sb0mjhzm	115	13	represents	represent	VBZ
cord-190242-sb0mjhzm	115	14	the	the	DT
cord-190242-sb0mjhzm	115	15	uncontrolled	uncontrolled	JJ
cord-190242-sb0mjhzm	115	16	exposed	expose	VBN
cord-190242-sb0mjhzm	115	17	population	population	NN
cord-190242-sb0mjhzm	115	18	.	.	.
cord-190242-sb0mjhzm	116	1	In	in	IN
cord-190242-sb0mjhzm	116	2	this	this	DT
cord-190242-sb0mjhzm	116	3	subsection	subsection	NN
cord-190242-sb0mjhzm	116	4	,	,	,
cord-190242-sb0mjhzm	116	5	solution	solution	NN
cord-190242-sb0mjhzm	116	6	trajectories	trajectory	NNS
cord-190242-sb0mjhzm	116	7	for	for	IN
cord-190242-sb0mjhzm	116	8	the	the	DT
cord-190242-sb0mjhzm	116	9	number	number	NN
cord-190242-sb0mjhzm	116	10	of	of	IN
cord-190242-sb0mjhzm	116	11	exposed	expose	VBN
cord-190242-sb0mjhzm	116	12	,	,	,
cord-190242-sb0mjhzm	116	13	infectious	infectious	JJ
cord-190242-sb0mjhzm	116	14	with	with	IN
cord-190242-sb0mjhzm	116	15	delay	delay	NN
cord-190242-sb0mjhzm	116	16	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	116	17	and	and	CC
cord-190242-sb0mjhzm	116	18	virus	virus	NN
cord-190242-sb0mjhzm	116	19	in	in	IN
cord-190242-sb0mjhzm	116	20	the	the	DT
cord-190242-sb0mjhzm	116	21	environment	environment	NN
cord-190242-sb0mjhzm	116	22	for	for	IN
cord-190242-sb0mjhzm	116	23	all	all	PDT
cord-190242-sb0mjhzm	116	24	the	the	DT
cord-190242-sb0mjhzm	116	25	three	three	CD
cord-190242-sb0mjhzm	116	26	control	control	NN
cord-190242-sb0mjhzm	116	27	strategies	strategy	NNS
cord-190242-sb0mjhzm	116	28	are	be	VBP
cord-190242-sb0mjhzm	116	29	numerically	numerically	RB
cord-190242-sb0mjhzm	116	30	compared	compare	VBN
cord-190242-sb0mjhzm	116	31	with	with	IN
cord-190242-sb0mjhzm	116	32	that	that	DT
cord-190242-sb0mjhzm	116	33	of	of	IN
cord-190242-sb0mjhzm	116	34	the	the	DT
cord-190242-sb0mjhzm	116	35	non	non	JJ
cord-190242-sb0mjhzm	116	36	-	-	JJ
cord-190242-sb0mjhzm	116	37	optimal	optimal	JJ
cord-190242-sb0mjhzm	116	38	control	control	NN
cord-190242-sb0mjhzm	116	39	model	model	NN
cord-190242-sb0mjhzm	116	40	.	.	.
cord-190242-sb0mjhzm	117	1	Our	-PRON-	PRP$
cord-190242-sb0mjhzm	117	2	numerical	numerical	JJ
cord-190242-sb0mjhzm	117	3	results	result	NNS
cord-190242-sb0mjhzm	117	4	suggest	suggest	VBP
cord-190242-sb0mjhzm	117	5	that	that	IN
cord-190242-sb0mjhzm	117	6	,	,	,
cord-190242-sb0mjhzm	117	7	if	if	IN
cord-190242-sb0mjhzm	117	8	people	people	NNS
cord-190242-sb0mjhzm	117	9	can	can	MD
cord-190242-sb0mjhzm	117	10	adhere	adhere	VB
cord-190242-sb0mjhzm	117	11	to	to	IN
cord-190242-sb0mjhzm	117	12	effective	effective	JJ
cord-190242-sb0mjhzm	117	13	personal	personal	JJ
cord-190242-sb0mjhzm	117	14	protection	protection	NN
cord-190242-sb0mjhzm	117	15	practices	practice	NNS
cord-190242-sb0mjhzm	117	16	such	such	JJ
cord-190242-sb0mjhzm	117	17	as	as	IN
cord-190242-sb0mjhzm	117	18	the	the	DT
cord-190242-sb0mjhzm	117	19	use	use	NN
cord-190242-sb0mjhzm	117	20	of	of	IN
cord-190242-sb0mjhzm	117	21	hand	hand	NN
cord-190242-sb0mjhzm	117	22	sanitizers	sanitizer	NNS
cord-190242-sb0mjhzm	117	23	,	,	,
cord-190242-sb0mjhzm	117	24	washing	washing	NN
cord-190242-sb0mjhzm	117	25	of	of	IN
cord-190242-sb0mjhzm	117	26	hands	hand	NNS
cord-190242-sb0mjhzm	117	27	regularly	regularly	RB
cord-190242-sb0mjhzm	117	28	and	and	CC
cord-190242-sb0mjhzm	117	29	social	social	JJ
cord-190242-sb0mjhzm	117	30	distancing	distancing	NN
cord-190242-sb0mjhzm	117	31	,	,	,
cord-190242-sb0mjhzm	117	32	there	there	EX
cord-190242-sb0mjhzm	117	33	will	will	MD
cord-190242-sb0mjhzm	117	34	less	less	JJR
cord-190242-sb0mjhzm	117	35	infections	infection	NNS
cord-190242-sb0mjhzm	117	36	in	in	IN
cord-190242-sb0mjhzm	117	37	the	the	DT
cord-190242-sb0mjhzm	117	38	population	population	NN
cord-190242-sb0mjhzm	117	39	.	.	.
cord-190242-sb0mjhzm	118	1	From	from	IN
cord-190242-sb0mjhzm	118	2	our	-PRON-	PRP$
cord-190242-sb0mjhzm	118	3	results	result	NNS
cord-190242-sb0mjhzm	118	4	,	,	,
cord-190242-sb0mjhzm	118	5	we	-PRON-	PRP
cord-190242-sb0mjhzm	118	6	can	can	MD
cord-190242-sb0mjhzm	118	7	further	further	RB
cord-190242-sb0mjhzm	118	8	argue	argue	VB
cord-190242-sb0mjhzm	118	9	that	that	IN
cord-190242-sb0mjhzm	118	10	,	,	,
cord-190242-sb0mjhzm	118	11	effective	effective	JJ
cord-190242-sb0mjhzm	118	12	spraying	spraying	NN
cord-190242-sb0mjhzm	118	13	of	of	IN
cord-190242-sb0mjhzm	118	14	the	the	DT
cord-190242-sb0mjhzm	118	15	environment	environment	NN
cord-190242-sb0mjhzm	118	16	and	and	CC
cord-190242-sb0mjhzm	118	17	early	early	JJ
cord-190242-sb0mjhzm	118	18	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	118	19	of	of	IN
cord-190242-sb0mjhzm	118	20	infected	infected	JJ
cord-190242-sb0mjhzm	118	21	or	or	CC
cord-190242-sb0mjhzm	118	22	infectious	infectious	JJ
cord-190242-sb0mjhzm	118	23	individuals	individual	NNS
cord-190242-sb0mjhzm	118	24	and	and	CC
cord-190242-sb0mjhzm	118	25	treatment	treatment	NN
cord-190242-sb0mjhzm	118	26	can	can	MD
cord-190242-sb0mjhzm	118	27	help	help	VB
cord-190242-sb0mjhzm	118	28	reduce	reduce	VB
cord-190242-sb0mjhzm	118	29	of	of	IN
cord-190242-sb0mjhzm	118	30	the	the	DT
cord-190242-sb0mjhzm	118	31	number	number	NN
cord-190242-sb0mjhzm	118	32	of	of	IN
cord-190242-sb0mjhzm	118	33	COVID-19	covid-19	JJ
cord-190242-sb0mjhzm	118	34	infections	infection	NNS
cord-190242-sb0mjhzm	118	35	significantly	significantly	RB
cord-190242-sb0mjhzm	118	36	.	.	.
cord-190242-sb0mjhzm	118	37	 	 	_SP
cord-190242-sb0mjhzm	119	1	In	in	IN
cord-190242-sb0mjhzm	119	2	this	this	DT
cord-190242-sb0mjhzm	119	3	article	article	NN
cord-190242-sb0mjhzm	119	4	,	,	,
cord-190242-sb0mjhzm	119	5	we	-PRON-	PRP
cord-190242-sb0mjhzm	119	6	presented	present	VBD
cord-190242-sb0mjhzm	119	7	control	control	NN
cord-190242-sb0mjhzm	119	8	strategies	strategy	NNS
cord-190242-sb0mjhzm	119	9	to	to	IN
cord-190242-sb0mjhzm	119	10	the	the	DT
cord-190242-sb0mjhzm	119	11	transmission	transmission	NN
cord-190242-sb0mjhzm	119	12	dynamics	dynamic	NNS
cord-190242-sb0mjhzm	119	13	of	of	IN
cord-190242-sb0mjhzm	119	14	COVID-19	COVID-19	NNP
cord-190242-sb0mjhzm	119	15	.	.	.
cord-190242-sb0mjhzm	120	1	The	the	DT
cord-190242-sb0mjhzm	120	2	control	control	NN
cord-190242-sb0mjhzm	120	3	set	set	VBD
cord-190242-sb0mjhzm	120	4	including	include	VBG
cord-190242-sb0mjhzm	120	5	personal	personal	JJ
cord-190242-sb0mjhzm	120	6	protection	protection	NN
cord-190242-sb0mjhzm	120	7	,	,	,
cord-190242-sb0mjhzm	120	8	treatment	treatment	NN
cord-190242-sb0mjhzm	120	9	when	when	WRB
cord-190242-sb0mjhzm	120	10	individuals	individual	NNS
cord-190242-sb0mjhzm	120	11	are	be	VBP
cord-190242-sb0mjhzm	120	12	early	early	RB
cord-190242-sb0mjhzm	120	13	diagnosed	diagnose	VBN
cord-190242-sb0mjhzm	120	14	,	,	,
cord-190242-sb0mjhzm	120	15	treatment	treatment	NN
cord-190242-sb0mjhzm	120	16	when	when	WRB
cord-190242-sb0mjhzm	120	17	individuals	individual	NNS
cord-190242-sb0mjhzm	120	18	are	be	VBP
cord-190242-sb0mjhzm	120	19	delay	delay	NN
cord-190242-sb0mjhzm	120	20	diagnosed	diagnose	VBN
cord-190242-sb0mjhzm	120	21	,	,	,
cord-190242-sb0mjhzm	120	22	effective	effective	JJ
cord-190242-sb0mjhzm	120	23	spraying	spraying	NN
cord-190242-sb0mjhzm	120	24	of	of	IN
cord-190242-sb0mjhzm	120	25	the	the	DT
cord-190242-sb0mjhzm	120	26	environment	environment	NN
cord-190242-sb0mjhzm	120	27	and	and	CC
cord-190242-sb0mjhzm	120	28	cleaning	clean	VBG
cord-190242-sb0mjhzm	120	29	possible	possible	JJ
cord-190242-sb0mjhzm	120	30	infected	infected	JJ
cord-190242-sb0mjhzm	120	31	surfaces	surface	NNS
cord-190242-sb0mjhzm	120	32	can	can	MD
cord-190242-sb0mjhzm	120	33	help	help	VB
cord-190242-sb0mjhzm	120	34	reduce	reduce	VB
cord-190242-sb0mjhzm	120	35	the	the	DT
cord-190242-sb0mjhzm	120	36	quantity	quantity	NN
cord-190242-sb0mjhzm	120	37	of	of	IN
cord-190242-sb0mjhzm	120	38	the	the	DT
cord-190242-sb0mjhzm	120	39	virus	virus	NN
cord-190242-sb0mjhzm	120	40	.	.	.
cord-190242-sb0mjhzm	121	1	The	the	DT
cord-190242-sb0mjhzm	121	2	numerical	numerical	JJ
cord-190242-sb0mjhzm	121	3	simulations	simulation	NNS
cord-190242-sb0mjhzm	121	4	reveals	reveal	VBZ
cord-190242-sb0mjhzm	121	5	that	that	IN
cord-190242-sb0mjhzm	121	6	optimal	optimal	JJ
cord-190242-sb0mjhzm	121	7	control	control	NN
cord-190242-sb0mjhzm	121	8	strategies	strategy	NNS
cord-190242-sb0mjhzm	121	9	can	can	MD
cord-190242-sb0mjhzm	121	10	yield	yield	VB
cord-190242-sb0mjhzm	121	11	significant	significant	JJ
cord-190242-sb0mjhzm	121	12	reduction	reduction	NN
cord-190242-sb0mjhzm	121	13	of	of	IN
cord-190242-sb0mjhzm	121	14	the	the	DT
cord-190242-sb0mjhzm	121	15	number	number	NN
cord-190242-sb0mjhzm	121	16	of	of	IN
cord-190242-sb0mjhzm	121	17	COVID-19	covid-19	JJ
cord-190242-sb0mjhzm	121	18	exposed	exposed	JJ
cord-190242-sb0mjhzm	121	19	and	and	CC
cord-190242-sb0mjhzm	121	20	infectious	infectious	JJ
cord-190242-sb0mjhzm	121	21	or	or	CC
cord-190242-sb0mjhzm	121	22	infected	infected	JJ
cord-190242-sb0mjhzm	121	23	individuals	individual	NNS
cord-190242-sb0mjhzm	121	24	in	in	IN
cord-190242-sb0mjhzm	121	25	the	the	DT
cord-190242-sb0mjhzm	121	26	population	population	NN
cord-190242-sb0mjhzm	121	27	.	.	.
cord-190242-sb0mjhzm	122	1	By	by	IN
cord-190242-sb0mjhzm	122	2	instituting	institute	VBG
cord-190242-sb0mjhzm	122	3	control	control	NN
cord-190242-sb0mjhzm	122	4	strategies	strategy	NNS
cord-190242-sb0mjhzm	122	5	,	,	,
cord-190242-sb0mjhzm	122	6	we	-PRON-	PRP
cord-190242-sb0mjhzm	122	7	realise	realise	VBP
cord-190242-sb0mjhzm	122	8	that	that	IN
cord-190242-sb0mjhzm	122	9	the	the	DT
cord-190242-sb0mjhzm	122	10	number	number	NN
cord-190242-sb0mjhzm	122	11	of	of	IN
cord-190242-sb0mjhzm	122	12	days	day	NNS
cord-190242-sb0mjhzm	122	13	required	require	VBN
cord-190242-sb0mjhzm	122	14	for	for	IN
cord-190242-sb0mjhzm	122	15	the	the	DT
cord-190242-sb0mjhzm	122	16	virus	virus	NN
cord-190242-sb0mjhzm	122	17	to	to	TO
cord-190242-sb0mjhzm	122	18	be	be	VB
cord-190242-sb0mjhzm	122	19	eliminated	eliminate	VBN
cord-190242-sb0mjhzm	122	20	from	from	IN
cord-190242-sb0mjhzm	122	21	the	the	DT
cord-190242-sb0mjhzm	122	22	system	system	NN
cord-190242-sb0mjhzm	122	23	is	be	VBZ
cord-190242-sb0mjhzm	122	24	significantly	significantly	RB
cord-190242-sb0mjhzm	122	25	reduced	reduce	VBN
cord-190242-sb0mjhzm	122	26	as	as	IN
cord-190242-sb0mjhzm	122	27	compared	compare	VBN
cord-190242-sb0mjhzm	122	28	to	to	IN
cord-190242-sb0mjhzm	122	29	when	when	WRB
cord-190242-sb0mjhzm	122	30	there	there	EX
cord-190242-sb0mjhzm	122	31	is	be	VBZ
cord-190242-sb0mjhzm	122	32	no	no	DT
cord-190242-sb0mjhzm	122	33	control	control	NN
cord-190242-sb0mjhzm	122	34	strategy	strategy	NN
cord-190242-sb0mjhzm	122	35	.	.	.
cord-190242-sb0mjhzm	123	1	The	the	DT
cord-190242-sb0mjhzm	123	2	numerical	numerical	JJ
cord-190242-sb0mjhzm	123	3	illustrations	illustration	NNS
cord-190242-sb0mjhzm	123	4	also	also	RB
cord-190242-sb0mjhzm	123	5	shows	show	VBZ
cord-190242-sb0mjhzm	123	6	that	that	IN
cord-190242-sb0mjhzm	123	7	by	by	IN
cord-190242-sb0mjhzm	123	8	increasing	increase	VBG
cord-190242-sb0mjhzm	123	9	φ	φ	NN
cord-190242-sb0mjhzm	123	10	i.e.	i.e.	FW
cord-190242-sb0mjhzm	123	11	improving	improve	VBG
cord-190242-sb0mjhzm	123	12	the	the	DT
cord-190242-sb0mjhzm	123	13	diagnostic	diagnostic	JJ
cord-190242-sb0mjhzm	123	14	resources	resource	NNS
cord-190242-sb0mjhzm	123	15	,	,	,
cord-190242-sb0mjhzm	123	16	and	and	CC
cord-190242-sb0mjhzm	123	17	increasing	increase	VBG
cord-190242-sb0mjhzm	123	18	γ	γ	NN
cord-190242-sb0mjhzm	123	19	2	2	CD
cord-190242-sb0mjhzm	123	20	i.e.	i.e.	FW
cord-190242-sb0mjhzm	123	21	improving	improve	VBG
cord-190242-sb0mjhzm	123	22	the	the	DT
cord-190242-sb0mjhzm	123	23	diagnostic	diagnostic	JJ
cord-190242-sb0mjhzm	123	24	efficiency	efficiency	NN
cord-190242-sb0mjhzm	123	25	,	,	,
cord-190242-sb0mjhzm	123	26	we	-PRON-	PRP
cord-190242-sb0mjhzm	123	27	can	can	MD
cord-190242-sb0mjhzm	123	28	control	control	VB
cord-190242-sb0mjhzm	123	29	significantly	significantly	RB
cord-190242-sb0mjhzm	123	30	the	the	DT
cord-190242-sb0mjhzm	123	31	number	number	NN
cord-190242-sb0mjhzm	123	32	of	of	IN
cord-190242-sb0mjhzm	123	33	new	new	JJ
cord-190242-sb0mjhzm	123	34	confirmed	confirm	VBN
cord-190242-sb0mjhzm	123	35	cases	case	NNS
cord-190242-sb0mjhzm	123	36	,	,	,
cord-190242-sb0mjhzm	123	37	new	new	JJ
cord-190242-sb0mjhzm	123	38	infections	infection	NNS
cord-190242-sb0mjhzm	123	39	and	and	CC
cord-190242-sb0mjhzm	123	40	thus	thus	RB
cord-190242-sb0mjhzm	123	41	can	can	MD
cord-190242-sb0mjhzm	123	42	reduce	reduce	VB
cord-190242-sb0mjhzm	123	43	the	the	DT
cord-190242-sb0mjhzm	123	44	transmission	transmission	NN
cord-190242-sb0mjhzm	123	45	risk	risk	NN
cord-190242-sb0mjhzm	123	46	.	.	.
cord-190242-sb0mjhzm	124	1	From	from	IN
cord-190242-sb0mjhzm	124	2	all	all	PDT
cord-190242-sb0mjhzm	124	3	the	the	DT
cord-190242-sb0mjhzm	124	4	three	three	CD
cord-190242-sb0mjhzm	124	5	control	control	NN
cord-190242-sb0mjhzm	124	6	strategies	strategy	NNS
cord-190242-sb0mjhzm	124	7	considered	consider	VBN
cord-190242-sb0mjhzm	124	8	in	in	IN
cord-190242-sb0mjhzm	124	9	this	this	DT
cord-190242-sb0mjhzm	124	10	study	study	NN
cord-190242-sb0mjhzm	124	11	,	,	,
cord-190242-sb0mjhzm	124	12	we	-PRON-	PRP
cord-190242-sb0mjhzm	124	13	realised	realise	VBD
cord-190242-sb0mjhzm	124	14	that	that	IN
cord-190242-sb0mjhzm	124	15	the	the	DT
cord-190242-sb0mjhzm	124	16	third	third	JJ
cord-190242-sb0mjhzm	124	17	strategy	strategy	NN
cord-190242-sb0mjhzm	124	18	which	which	WDT
cord-190242-sb0mjhzm	124	19	captures	capture	VBZ
cord-190242-sb0mjhzm	124	20	all	all	PDT
cord-190242-sb0mjhzm	124	21	the	the	DT
cord-190242-sb0mjhzm	124	22	four	four	CD
cord-190242-sb0mjhzm	124	23	time	time	NN
cord-190242-sb0mjhzm	124	24	-	-	HYPH
cord-190242-sb0mjhzm	124	25	dependent	dependent	JJ
cord-190242-sb0mjhzm	124	26	control	control	NN
cord-190242-sb0mjhzm	124	27	functions	function	NNS
cord-190242-sb0mjhzm	124	28	yields	yield	NNS
cord-190242-sb0mjhzm	124	29	better	well	JJR
cord-190242-sb0mjhzm	124	30	results	result	NNS
cord-190242-sb0mjhzm	124	31	.	.	.
cord-190242-sb0mjhzm	125	1	Modelling	model	VBG
cord-190242-sb0mjhzm	125	2	the	the	DT
cord-190242-sb0mjhzm	125	3	effects	effect	NNS
cord-190242-sb0mjhzm	125	4	of	of	IN
cord-190242-sb0mjhzm	125	5	heavy	heavy	JJ
cord-190242-sb0mjhzm	125	6	alcohol	alcohol	NN
cord-190242-sb0mjhzm	125	7	consumption	consumption	NN
cord-190242-sb0mjhzm	125	8	on	on	IN
cord-190242-sb0mjhzm	125	9	the	the	DT
cord-190242-sb0mjhzm	125	10	transmission	transmission	NN
cord-190242-sb0mjhzm	125	11	dynamics	dynamic	NNS
cord-190242-sb0mjhzm	125	12	of	of	IN
cord-190242-sb0mjhzm	125	13	gonorrhea	gonorrhea	NN
cord-190242-sb0mjhzm	125	14	with	with	IN
cord-190242-sb0mjhzm	125	15	optimal	optimal	JJ
cord-190242-sb0mjhzm	125	16	control	control	NN
cord-190242-sb0mjhzm	125	17	Mathematical	mathematical	JJ
cord-190242-sb0mjhzm	125	18	epidemiology	epidemiology	NN
cord-190242-sb0mjhzm	125	19	:	:	:
cord-190242-sb0mjhzm	125	20	Past	past	NN
cord-190242-sb0mjhzm	125	21	,	,	,
cord-190242-sb0mjhzm	125	22	present	present	JJ
cord-190242-sb0mjhzm	125	23	,	,	,
cord-190242-sb0mjhzm	125	24	and	and	CC
cord-190242-sb0mjhzm	125	25	future	future	VB
cord-190242-sb0mjhzm	125	26	A	a	DT
cord-190242-sb0mjhzm	125	27	mathematical	mathematical	JJ
cord-190242-sb0mjhzm	125	28	model	model	NN
cord-190242-sb0mjhzm	125	29	for	for	IN
cord-190242-sb0mjhzm	125	30	simulating	simulate	VBG
cord-190242-sb0mjhzm	125	31	the	the	DT
cord-190242-sb0mjhzm	125	32	phase	phase	NN
cord-190242-sb0mjhzm	125	33	-	-	HYPH
cord-190242-sb0mjhzm	125	34	based	base	VBN
cord-190242-sb0mjhzm	125	35	transmissibility	transmissibility	NN
cord-190242-sb0mjhzm	125	36	of	of	IN
cord-190242-sb0mjhzm	125	37	a	a	DT
cord-190242-sb0mjhzm	125	38	novel	novel	JJ
cord-190242-sb0mjhzm	125	39	coronavirus	coronavirus	NN
cord-190242-sb0mjhzm	125	40	Novel	Novel	NNP
cord-190242-sb0mjhzm	125	41	coronavirus	coronavirus	NN
cord-190242-sb0mjhzm	125	42	information	information	NN
cord-190242-sb0mjhzm	125	43	center	center	NN
cord-190242-sb0mjhzm	125	44	Transmission	Transmission	NNP
cord-190242-sb0mjhzm	125	45	dynamics	dynamic	NNS
cord-190242-sb0mjhzm	125	46	of	of	IN
cord-190242-sb0mjhzm	125	47	the	the	DT
cord-190242-sb0mjhzm	125	48	covid-19	covid-19	CD
cord-190242-sb0mjhzm	125	49	outbreak	outbreak	NN
cord-190242-sb0mjhzm	125	50	and	and	CC
cord-190242-sb0mjhzm	125	51	effectiveness	effectiveness	NN
cord-190242-sb0mjhzm	125	52	of	of	IN
cord-190242-sb0mjhzm	125	53	government	government	NN
cord-190242-sb0mjhzm	125	54	interventions	intervention	NNS
cord-190242-sb0mjhzm	125	55	:	:	:
cord-190242-sb0mjhzm	125	56	A	a	DT
cord-190242-sb0mjhzm	125	57	data	data	NN
cord-190242-sb0mjhzm	125	58	-	-	HYPH
cord-190242-sb0mjhzm	125	59	driven	drive	VBN
cord-190242-sb0mjhzm	125	60	analysis	analysis	NN
cord-190242-sb0mjhzm	125	61	Deterministic	deterministic	JJ
cord-190242-sb0mjhzm	125	62	and	and	CC
cord-190242-sb0mjhzm	125	63	Stochastic	Stochastic	NNP
cord-190242-sb0mjhzm	125	64	Optimal	Optimal	NNP
cord-190242-sb0mjhzm	125	65	Control	Control	NNP
cord-190242-sb0mjhzm	125	66	.	.	.
cord-190242-sb0mjhzm	126	1	Stochastic	stochastic	JJ
cord-190242-sb0mjhzm	126	2	Modelling	Modelling	NNP
cord-190242-sb0mjhzm	126	3	and	and	CC
cord-190242-sb0mjhzm	126	4	Applied	Applied	NNP
cord-190242-sb0mjhzm	126	5	Probability	Probability	NNP
cord-190242-sb0mjhzm	127	1	The	the	DT
cord-190242-sb0mjhzm	127	2	mathematics	mathematic	NNS
cord-190242-sb0mjhzm	127	3	of	of	IN
cord-190242-sb0mjhzm	127	4	infectious	infectious	JJ
cord-190242-sb0mjhzm	127	5	diseases	disease	NNS
cord-190242-sb0mjhzm	127	6	Optimal	Optimal	NNP
cord-190242-sb0mjhzm	127	7	control	control	NN
cord-190242-sb0mjhzm	127	8	and	and	CC
cord-190242-sb0mjhzm	127	9	cost	cost	NN
cord-190242-sb0mjhzm	127	10	effectiveness	effectiveness	NN
cord-190242-sb0mjhzm	127	11	analysis	analysis	NN
cord-190242-sb0mjhzm	127	12	for	for	IN
cord-190242-sb0mjhzm	127	13	newcastle	newcastle	NNP
cord-190242-sb0mjhzm	127	14	disease	disease	NNP
cord-190242-sb0mjhzm	127	15	eco	eco	JJ
cord-190242-sb0mjhzm	127	16	-	-	HYPH
cord-190242-sb0mjhzm	127	17	epidemiological	epidemiological	JJ
cord-190242-sb0mjhzm	127	18	model	model	NN
cord-190242-sb0mjhzm	127	19	in	in	IN
cord-190242-sb0mjhzm	127	20	tanzania	tanzania	NNP
cord-190242-sb0mjhzm	127	21	Extended	Extended	NNP
cord-190242-sb0mjhzm	127	22	sir	sir	NNP
cord-190242-sb0mjhzm	127	23	prediction	prediction	NN
cord-190242-sb0mjhzm	127	24	of	of	IN
cord-190242-sb0mjhzm	127	25	the	the	DT
cord-190242-sb0mjhzm	127	26	epidemics	epidemic	NNS
cord-190242-sb0mjhzm	127	27	trend	trend	NN
cord-190242-sb0mjhzm	127	28	of	of	IN
cord-190242-sb0mjhzm	127	29	covid-19	covid-19	NNP
cord-190242-sb0mjhzm	127	30	in	in	IN
cord-190242-sb0mjhzm	127	31	italy	italy	NNP
cord-190242-sb0mjhzm	127	32	and	and	CC
cord-190242-sb0mjhzm	127	33	compared	compare	VBN
cord-190242-sb0mjhzm	127	34	with	with	IN
cord-190242-sb0mjhzm	127	35	hunan	hunan	NNP
cord-190242-sb0mjhzm	127	36	,	,	,
cord-190242-sb0mjhzm	127	37	china	china	NNP
cord-190242-sb0mjhzm	127	38	.	.	.
cord-190242-sb0mjhzm	128	1	medRxiv	medRxiv	NNS
cord-190242-sb0mjhzm	128	2	Optimal	Optimal	NNP
cord-190242-sb0mjhzm	128	3	control	control	NN
cord-190242-sb0mjhzm	128	4	applied	apply	VBD
cord-190242-sb0mjhzm	128	5	to	to	IN
cord-190242-sb0mjhzm	128	6	biological	biological	JJ
cord-190242-sb0mjhzm	128	7	models	model	NNS
cord-190242-sb0mjhzm	129	1	A	a	DT
cord-190242-sb0mjhzm	129	2	conceptual	conceptual	JJ
cord-190242-sb0mjhzm	129	3	model	model	NN
cord-190242-sb0mjhzm	129	4	for	for	IN
cord-190242-sb0mjhzm	129	5	the	the	DT
cord-190242-sb0mjhzm	129	6	coronavirus	coronavirus	NN
cord-190242-sb0mjhzm	129	7	disease	disease	NN
cord-190242-sb0mjhzm	129	8	2019	2019	CD
cord-190242-sb0mjhzm	129	9	(	(	-LRB-
cord-190242-sb0mjhzm	129	10	covid-19	covid-19	NNP
cord-190242-sb0mjhzm	129	11	)	)	-RRB-
cord-190242-sb0mjhzm	129	12	outbreak	outbreak	NN
cord-190242-sb0mjhzm	129	13	in	in	IN
cord-190242-sb0mjhzm	129	14	wuhan	wuhan	NNP
cord-190242-sb0mjhzm	129	15	,	,	,
cord-190242-sb0mjhzm	129	16	china	china	NNP
cord-190242-sb0mjhzm	129	17	with	with	IN
cord-190242-sb0mjhzm	129	18	individual	individual	JJ
cord-190242-sb0mjhzm	129	19	reaction	reaction	NN
cord-190242-sb0mjhzm	129	20	and	and	CC
cord-190242-sb0mjhzm	129	21	governmental	governmental	JJ
cord-190242-sb0mjhzm	129	22	action	action	NN
cord-190242-sb0mjhzm	129	23	Estimating	Estimating	NNP
cord-190242-sb0mjhzm	129	24	risk	risk	NN
cord-190242-sb0mjhzm	129	25	for	for	IN
cord-190242-sb0mjhzm	129	26	death	death	NN
cord-190242-sb0mjhzm	129	27	from	from	IN
cord-190242-sb0mjhzm	129	28	2019	2019	CD
cord-190242-sb0mjhzm	129	29	novel	novel	JJ
cord-190242-sb0mjhzm	129	30	coronavirus	coronavirus	NN
cord-190242-sb0mjhzm	129	31	disease	disease	NN
cord-190242-sb0mjhzm	129	32	,	,	,
cord-190242-sb0mjhzm	129	33	china	china	NNP
cord-190242-sb0mjhzm	129	34	Optimal	Optimal	NNP
cord-190242-sb0mjhzm	129	35	control	control	NN
cord-190242-sb0mjhzm	129	36	of	of	IN
cord-190242-sb0mjhzm	129	37	intervention	intervention	NN
cord-190242-sb0mjhzm	129	38	strategies	strategy	NNS
cord-190242-sb0mjhzm	129	39	and	and	CC
cord-190242-sb0mjhzm	129	40	cost	cost	NN
cord-190242-sb0mjhzm	129	41	effectiveness	effectiveness	NN
cord-190242-sb0mjhzm	129	42	analysis	analysis	NN
cord-190242-sb0mjhzm	129	43	for	for	IN
cord-190242-sb0mjhzm	129	44	a	a	DT
cord-190242-sb0mjhzm	129	45	zika	zika	NNP
cord-190242-sb0mjhzm	129	46	virus	virus	NN
cord-190242-sb0mjhzm	129	47	model	model	NN
cord-190242-sb0mjhzm	129	48	.	.	.
cord-190242-sb0mjhzm	130	1	Operations	Operations	NNPS
cord-190242-sb0mjhzm	130	2	Research	Research	NNP
cord-190242-sb0mjhzm	130	3	for	for	IN
cord-190242-sb0mjhzm	130	4	Health	Health	NNP
cord-190242-sb0mjhzm	130	5	Care	Care	NNP
cord-190242-sb0mjhzm	130	6	Sars	Sars	NNP
cord-190242-sb0mjhzm	131	1	-cov-2	-cov-2	:
cord-190242-sb0mjhzm	131	2	and	and	CC
cord-190242-sb0mjhzm	131	3	covid-19	covid-19	NNP
cord-190242-sb0mjhzm	131	4	:	:	:
cord-190242-sb0mjhzm	131	5	A	a	DT
cord-190242-sb0mjhzm	131	6	new	new	JJ
cord-190242-sb0mjhzm	131	7	virus	virus	NN
cord-190242-sb0mjhzm	131	8	and	and	CC
cord-190242-sb0mjhzm	131	9	associated	associate	VBD
cord-190242-sb0mjhzm	131	10	respiratory	respiratory	JJ
cord-190242-sb0mjhzm	131	11	disease	disease	NN
cord-190242-sb0mjhzm	132	1	Modeling	model	VBG
cord-190242-sb0mjhzm	132	2	optimal	optimal	JJ
cord-190242-sb0mjhzm	132	3	intervention	intervention	NN
cord-190242-sb0mjhzm	132	4	strategies	strategy	NNS
cord-190242-sb0mjhzm	132	5	for	for	IN
cord-190242-sb0mjhzm	132	6	cholera	cholera	NN
cord-190242-sb0mjhzm	132	7	A	a	DT
cord-190242-sb0mjhzm	132	8	co	co	NN
cord-190242-sb0mjhzm	132	9	-	-	NN
cord-190242-sb0mjhzm	132	10	infection	infection	JJ
cord-190242-sb0mjhzm	132	11	model	model	NN
cord-190242-sb0mjhzm	132	12	of	of	IN
cord-190242-sb0mjhzm	132	13	malaria	malaria	NN
cord-190242-sb0mjhzm	132	14	and	and	CC
cord-190242-sb0mjhzm	132	15	cholera	cholera	NN
cord-190242-sb0mjhzm	132	16	diseases	disease	NNS
cord-190242-sb0mjhzm	132	17	with	with	IN
cord-190242-sb0mjhzm	132	18	optimal	optimal	JJ
cord-190242-sb0mjhzm	132	19	control	control	NN
cord-190242-sb0mjhzm	132	20	Deterministic	deterministic	JJ
cord-190242-sb0mjhzm	132	21	epidemic	epidemic	NN
cord-190242-sb0mjhzm	132	22	models	model	NNS
cord-190242-sb0mjhzm	132	23	for	for	IN
cord-190242-sb0mjhzm	132	24	ebola	ebola	NNP
cord-190242-sb0mjhzm	132	25	infection	infection	NN
cord-190242-sb0mjhzm	132	26	with	with	IN
cord-190242-sb0mjhzm	132	27	time	time	NN
cord-190242-sb0mjhzm	132	28	-	-	HYPH
cord-190242-sb0mjhzm	132	29	dependent	dependent	JJ
cord-190242-sb0mjhzm	132	30	controls	control	VBZ
cord-190242-sb0mjhzm	132	31	Global	global	JJ
cord-190242-sb0mjhzm	132	32	stability	stability	NN
cord-190242-sb0mjhzm	132	33	and	and	CC
cord-190242-sb0mjhzm	132	34	optimal	optimal	JJ
cord-190242-sb0mjhzm	132	35	control	control	NN
cord-190242-sb0mjhzm	132	36	analysis	analysis	NN
cord-190242-sb0mjhzm	132	37	of	of	IN
cord-190242-sb0mjhzm	132	38	malaria	malaria	NN
cord-190242-sb0mjhzm	132	39	dynamics	dynamic	NNS
cord-190242-sb0mjhzm	132	40	in	in	IN
cord-190242-sb0mjhzm	132	41	the	the	DT
cord-190242-sb0mjhzm	132	42	presence	presence	NN
cord-190242-sb0mjhzm	132	43	of	of	IN
cord-190242-sb0mjhzm	132	44	human	human	JJ
cord-190242-sb0mjhzm	132	45	travelers	traveler	NNS
cord-190242-sb0mjhzm	132	46	World	World	NNP
cord-190242-sb0mjhzm	132	47	Health	Health	NNP
cord-190242-sb0mjhzm	132	48	Organization	Organization	NNP
cord-190242-sb0mjhzm	132	49	.	.	.
cord-190242-sb0mjhzm	133	1	WHO	who	WP
cord-190242-sb0mjhzm	133	2	characterizes	characterize	VBZ
cord-190242-sb0mjhzm	133	3	covid-19	covid-19	NNP
cord-190242-sb0mjhzm	133	4	as	as	IN
cord-190242-sb0mjhzm	133	5	a	a	DT
cord-190242-sb0mjhzm	133	6	pandemic	pandemic	NN
cord-190242-sb0mjhzm	133	7	World	World	NNP
cord-190242-sb0mjhzm	133	8	Health	Health	NNP
cord-190242-sb0mjhzm	133	9	Organization	Organization	NNP
cord-190242-sb0mjhzm	133	10	.	.	.
cord-190242-sb0mjhzm	134	1	WHO	who	WP
cord-190242-sb0mjhzm	134	2	coronavirus	coronavirus	NN
cord-190242-sb0mjhzm	134	3	disease	disease	NN
cord-190242-sb0mjhzm	134	4	(	(	-LRB-
cord-190242-sb0mjhzm	134	5	covid-2019	covid-2019	NNP
cord-190242-sb0mjhzm	134	6	)	)	-RRB-
cord-190242-sb0mjhzm	134	7	situation	situation	NN
cord-190242-sb0mjhzm	134	8	reports	report	VBZ
cord-190242-sb0mjhzm	134	9	The	the	DT
cord-190242-sb0mjhzm	134	10	mathematical	mathematical	JJ
cord-190242-sb0mjhzm	134	11	theory	theory	NN
cord-190242-sb0mjhzm	134	12	of	of	IN
cord-190242-sb0mjhzm	134	13	optimal	optimal	JJ
cord-190242-sb0mjhzm	134	14	processes	process	NNS
cord-190242-sb0mjhzm	134	15	and	and	CC
cord-190242-sb0mjhzm	134	16	differential	differential	JJ
cord-190242-sb0mjhzm	134	17	games	game	NNS
cord-190242-sb0mjhzm	135	1	The	the	DT
cord-190242-sb0mjhzm	135	2	mathematical	mathematical	JJ
cord-190242-sb0mjhzm	135	3	theory	theory	NN
cord-190242-sb0mjhzm	135	4	of	of	IN
cord-190242-sb0mjhzm	135	5	optimal	optimal	JJ
cord-190242-sb0mjhzm	135	6	processes	process	VBZ
cord-190242-sb0mjhzm	135	7	Real	real	JJ
cord-190242-sb0mjhzm	135	8	-	-	HYPH
cord-190242-sb0mjhzm	135	9	time	time	NN
cord-190242-sb0mjhzm	135	10	forecasts	forecast	NNS
cord-190242-sb0mjhzm	135	11	of	of	IN
cord-190242-sb0mjhzm	135	12	the	the	DT
cord-190242-sb0mjhzm	135	13	covid-19	covid-19	JJ
cord-190242-sb0mjhzm	135	14	epidemic	epidemic	NN
cord-190242-sb0mjhzm	135	15	in	in	IN
cord-190242-sb0mjhzm	135	16	china	china	NNP
cord-190242-sb0mjhzm	135	17	from	from	IN
cord-190242-sb0mjhzm	135	18	february	february	NNP
cord-190242-sb0mjhzm	135	19	5th	5th	NN
cord-190242-sb0mjhzm	135	20	to	to	IN
cord-190242-sb0mjhzm	135	21	february	february	NNP
cord-190242-sb0mjhzm	135	22	24th	24th	NN
cord-190242-sb0mjhzm	136	1	Optimal	optimal	JJ
cord-190242-sb0mjhzm	136	2	control	control	NN
cord-190242-sb0mjhzm	136	3	in	in	IN
cord-190242-sb0mjhzm	136	4	epidemiology	epidemiology	NN
cord-190242-sb0mjhzm	136	5	Mathematical	mathematical	JJ
cord-190242-sb0mjhzm	136	6	modeling	modeling	NN
cord-190242-sb0mjhzm	136	7	of	of	IN
cord-190242-sb0mjhzm	136	8	infectious	infectious	JJ
cord-190242-sb0mjhzm	136	9	disease	disease	NN
cord-190242-sb0mjhzm	136	10	dynamics	dynamic	NNS
cord-190242-sb0mjhzm	137	1	An	an	DT
cord-190242-sb0mjhzm	137	2	updated	update	VBN
cord-190242-sb0mjhzm	137	3	estimation	estimation	NN
cord-190242-sb0mjhzm	137	4	of	of	IN
cord-190242-sb0mjhzm	137	5	the	the	DT
cord-190242-sb0mjhzm	137	6	risk	risk	NN
cord-190242-sb0mjhzm	137	7	of	of	IN
cord-190242-sb0mjhzm	137	8	transmission	transmission	NN
cord-190242-sb0mjhzm	137	9	of	of	IN
cord-190242-sb0mjhzm	137	10	the	the	DT
cord-190242-sb0mjhzm	137	11	novel	novel	JJ
cord-190242-sb0mjhzm	137	12	coronavirus	coronavirus	NN
cord-190242-sb0mjhzm	137	13	(	(	-LRB-
cord-190242-sb0mjhzm	137	14	2019-ncov	2019-ncov	CD
cord-190242-sb0mjhzm	137	15	)	)	-RRB-
cord-190242-sb0mjhzm	137	16	Phase	phase	NN
cord-190242-sb0mjhzm	137	17	-	-	HYPH
cord-190242-sb0mjhzm	137	18	adjusted	adjust	VBN
cord-190242-sb0mjhzm	137	19	estimation	estimation	NN
cord-190242-sb0mjhzm	137	20	of	of	IN
cord-190242-sb0mjhzm	137	21	the	the	DT
cord-190242-sb0mjhzm	137	22	number	number	NN
cord-190242-sb0mjhzm	137	23	of	of	IN
cord-190242-sb0mjhzm	137	24	coronavirus	coronavirus	NN
cord-190242-sb0mjhzm	137	25	disease	disease	NN
cord-190242-sb0mjhzm	137	26	2019	2019	CD
cord-190242-sb0mjhzm	137	27	cases	case	NNS
cord-190242-sb0mjhzm	137	28	in	in	IN
cord-190242-sb0mjhzm	137	29	wuhan	wuhan	NNP
cord-190242-sb0mjhzm	137	30	,	,	,
cord-190242-sb0mjhzm	137	31	china	china	NNP
cord-190242-sb0mjhzm	137	32	Effect	Effect	NNP
cord-190242-sb0mjhzm	137	33	of	of	IN
cord-190242-sb0mjhzm	137	34	delay	delay	NN
cord-190242-sb0mjhzm	137	35	in	in	IN
cord-190242-sb0mjhzm	137	36	diagnosis	diagnosis	NN
cord-190242-sb0mjhzm	137	37	on	on	IN
cord-190242-sb0mjhzm	137	38	transmission	transmission	NN
cord-190242-sb0mjhzm	137	39	of	of	IN
cord-190242-sb0mjhzm	137	40	covid-19	covid-19	NNP
cord-190242-sb0mjhzm	137	41	Estimation	Estimation	NNP
cord-190242-sb0mjhzm	137	42	of	of	IN
cord-190242-sb0mjhzm	137	43	the	the	DT
cord-190242-sb0mjhzm	137	44	reproductive	reproductive	JJ
cord-190242-sb0mjhzm	137	45	number	number	NN
cord-190242-sb0mjhzm	137	46	of	of	IN
cord-190242-sb0mjhzm	137	47	novel	novel	JJ
cord-190242-sb0mjhzm	137	48	coronavirus	coronavirus	NN
cord-190242-sb0mjhzm	137	49	(	(	-LRB-
cord-190242-sb0mjhzm	137	50	covid-19	covid-19	NNP
cord-190242-sb0mjhzm	137	51	)	)	-RRB-
cord-190242-sb0mjhzm	137	52	and	and	CC
cord-190242-sb0mjhzm	137	53	the	the	DT
cord-190242-sb0mjhzm	137	54	probable	probable	JJ
cord-190242-sb0mjhzm	137	55	outbreak	outbreak	NN
cord-190242-sb0mjhzm	137	56	size	size	NN
cord-190242-sb0mjhzm	137	57	on	on	IN
cord-190242-sb0mjhzm	137	58	the	the	DT
cord-190242-sb0mjhzm	137	59	diamond	diamond	NN
cord-190242-sb0mjhzm	137	60	princess	princess	NN
cord-190242-sb0mjhzm	137	61	cruise	cruise	NN
cord-190242-sb0mjhzm	137	62	ship	ship	NN
cord-190242-sb0mjhzm	137	63	:	:	:
cord-190242-sb0mjhzm	137	64	A	a	DT
cord-190242-sb0mjhzm	137	65	data	data	NN
cord-190242-sb0mjhzm	137	66	-	-	HYPH
cord-190242-sb0mjhzm	137	67	driven	drive	VBN
cord-190242-sb0mjhzm	137	68	analysis	analysis	NN