id sid tid token lemma pos cord-313991-u2rkn5uh 1 1 key key NN cord-313991-u2rkn5uh 1 2 : : : cord-313991-u2rkn5uh 2 1 cord-313991-u2rkn5uh cord-313991-u2rkn5uh NN cord-313991-u2rkn5uh 2 2 authors author NNS cord-313991-u2rkn5uh 2 3 : : : cord-313991-u2rkn5uh 2 4 Dimaschko Dimaschko NNP cord-313991-u2rkn5uh 2 5 , , , cord-313991-u2rkn5uh 2 6 J. J. NNP cord-313991-u2rkn5uh 2 7 title title NN cord-313991-u2rkn5uh 2 8 : : : cord-313991-u2rkn5uh 3 1 Superspreading superspreade VBG cord-313991-u2rkn5uh 3 2 as as IN cord-313991-u2rkn5uh 3 3 a a DT cord-313991-u2rkn5uh 3 4 Regular Regular NNP cord-313991-u2rkn5uh 3 5 Factor factor NN cord-313991-u2rkn5uh 3 6 of of IN cord-313991-u2rkn5uh 3 7 the the DT cord-313991-u2rkn5uh 3 8 COVID-19 COVID-19 NNP cord-313991-u2rkn5uh 3 9 Pandemic Pandemic NNP cord-313991-u2rkn5uh 3 10 : : : cord-313991-u2rkn5uh 3 11 II II NNP cord-313991-u2rkn5uh 3 12 . . . cord-313991-u2rkn5uh 4 1 Quarantine Quarantine NNP cord-313991-u2rkn5uh 4 2 Measures Measures NNPS cord-313991-u2rkn5uh 4 3 and and CC cord-313991-u2rkn5uh 4 4 the the DT cord-313991-u2rkn5uh 4 5 Second Second NNP cord-313991-u2rkn5uh 4 6 Wave Wave NNP cord-313991-u2rkn5uh 4 7 date date NN cord-313991-u2rkn5uh 4 8 : : : cord-313991-u2rkn5uh 4 9 2020 2020 CD cord-313991-u2rkn5uh 4 10 - - HYPH cord-313991-u2rkn5uh 4 11 08 08 CD cord-313991-u2rkn5uh 4 12 - - SYM cord-313991-u2rkn5uh 4 13 16 16 CD cord-313991-u2rkn5uh 4 14 journal journal NN cord-313991-u2rkn5uh 4 15 : : : cord-313991-u2rkn5uh 4 16 nan nan NNP cord-313991-u2rkn5uh 4 17 DOI DOI NNP cord-313991-u2rkn5uh 4 18 : : : cord-313991-u2rkn5uh 4 19 10.1101/2020.08.14.20174557 10.1101/2020.08.14.20174557 CD cord-313991-u2rkn5uh 4 20 sha sha NNP cord-313991-u2rkn5uh 4 21 : : : cord-313991-u2rkn5uh 5 1 2ce1927d65b4db0d855517347539297ceec32f10 2ce1927d65b4db0d855517347539297ceec32f10 CD cord-313991-u2rkn5uh 5 2 doc_id doc_id CD cord-313991-u2rkn5uh 5 3 : : : cord-313991-u2rkn5uh 6 1 313991 313991 CD cord-313991-u2rkn5uh 6 2 cord_uid cord_uid NN cord-313991-u2rkn5uh 6 3 : : : cord-313991-u2rkn5uh 7 1 u2rkn5uh u2rkn5uh NNP cord-313991-u2rkn5uh 8 1 Within within IN cord-313991-u2rkn5uh 8 2 the the DT cord-313991-u2rkn5uh 8 3 framework framework NN cord-313991-u2rkn5uh 8 4 of of IN cord-313991-u2rkn5uh 8 5 a a DT cord-313991-u2rkn5uh 8 6 two two CD cord-313991-u2rkn5uh 8 7 - - HYPH cord-313991-u2rkn5uh 8 8 component component NN cord-313991-u2rkn5uh 8 9 model model NN cord-313991-u2rkn5uh 8 10 of of IN cord-313991-u2rkn5uh 8 11 the the DT cord-313991-u2rkn5uh 8 12 COVID-19 covid-19 JJ cord-313991-u2rkn5uh 8 13 epidemic epidemic NN cord-313991-u2rkn5uh 8 14 , , , cord-313991-u2rkn5uh 8 15 taking take VBG cord-313991-u2rkn5uh 8 16 into into IN cord-313991-u2rkn5uh 8 17 account account NN cord-313991-u2rkn5uh 8 18 the the DT cord-313991-u2rkn5uh 8 19 special special JJ cord-313991-u2rkn5uh 8 20 role role NN cord-313991-u2rkn5uh 8 21 of of IN cord-313991-u2rkn5uh 8 22 superspreaders superspreader NNS cord-313991-u2rkn5uh 8 23 , , , cord-313991-u2rkn5uh 8 24 we -PRON- PRP cord-313991-u2rkn5uh 8 25 consider consider VBP cord-313991-u2rkn5uh 8 26 the the DT cord-313991-u2rkn5uh 8 27 impact impact NN cord-313991-u2rkn5uh 8 28 of of IN cord-313991-u2rkn5uh 8 29 the the DT cord-313991-u2rkn5uh 8 30 recovery recovery NN cord-313991-u2rkn5uh 8 31 factor factor NN cord-313991-u2rkn5uh 8 32 and and CC cord-313991-u2rkn5uh 8 33 quarantine quarantine NN cord-313991-u2rkn5uh 8 34 measures measure NNS cord-313991-u2rkn5uh 8 35 on on IN cord-313991-u2rkn5uh 8 36 the the DT cord-313991-u2rkn5uh 8 37 course course NN cord-313991-u2rkn5uh 8 38 of of IN cord-313991-u2rkn5uh 8 39 the the DT cord-313991-u2rkn5uh 8 40 epidemic epidemic NN cord-313991-u2rkn5uh 8 41 , , , cord-313991-u2rkn5uh 8 42 as as RB cord-313991-u2rkn5uh 8 43 well well RB cord-313991-u2rkn5uh 8 44 as as IN cord-313991-u2rkn5uh 8 45 the the DT cord-313991-u2rkn5uh 8 46 possibility possibility NN cord-313991-u2rkn5uh 8 47 of of IN cord-313991-u2rkn5uh 8 48 a a DT cord-313991-u2rkn5uh 8 49 second second JJ cord-313991-u2rkn5uh 8 50 wave wave NN cord-313991-u2rkn5uh 8 51 of of IN cord-313991-u2rkn5uh 8 52 morbidity morbidity NN cord-313991-u2rkn5uh 8 53 . . . cord-313991-u2rkn5uh 9 1 It -PRON- PRP cord-313991-u2rkn5uh 9 2 is be VBZ cord-313991-u2rkn5uh 9 3 assumed assume VBN cord-313991-u2rkn5uh 9 4 that that IN cord-313991-u2rkn5uh 9 5 there there EX cord-313991-u2rkn5uh 9 6 is be VBZ cord-313991-u2rkn5uh 9 7 no no DT cord-313991-u2rkn5uh 9 8 long long JJ cord-313991-u2rkn5uh 9 9 - - HYPH cord-313991-u2rkn5uh 9 10 term term NN cord-313991-u2rkn5uh 9 11 immunity immunity NN cord-313991-u2rkn5uh 9 12 in in IN cord-313991-u2rkn5uh 9 13 asymptomatic asymptomatic JJ cord-313991-u2rkn5uh 9 14 superspreaders superspreader NNS cord-313991-u2rkn5uh 9 15 who who WP cord-313991-u2rkn5uh 9 16 have have VBP cord-313991-u2rkn5uh 9 17 under- under- JJ cord-313991-u2rkn5uh 9 18 gone go VBN cord-313991-u2rkn5uh 9 19 the the DT cord-313991-u2rkn5uh 9 20 infection infection NN cord-313991-u2rkn5uh 9 21 , , , cord-313991-u2rkn5uh 9 22 and and CC cord-313991-u2rkn5uh 9 23 the the DT cord-313991-u2rkn5uh 9 24 emergence emergence NN cord-313991-u2rkn5uh 9 25 of of IN cord-313991-u2rkn5uh 9 26 long long JJ cord-313991-u2rkn5uh 9 27 - - HYPH cord-313991-u2rkn5uh 9 28 term term NN cord-313991-u2rkn5uh 9 29 immunity immunity NN cord-313991-u2rkn5uh 9 30 in in IN cord-313991-u2rkn5uh 9 31 those those DT cord-313991-u2rkn5uh 9 32 who who WP cord-313991-u2rkn5uh 9 33 have have VBP cord-313991-u2rkn5uh 9 34 undergone undergo VBN cord-313991-u2rkn5uh 9 35 severe severe JJ cord-313991-u2rkn5uh 9 36 illness illness NN cord-313991-u2rkn5uh 9 37 . . . cord-313991-u2rkn5uh 10 1 It -PRON- PRP cord-313991-u2rkn5uh 10 2 is be VBZ cord-313991-u2rkn5uh 10 3 shown show VBN cord-313991-u2rkn5uh 10 4 that that IN cord-313991-u2rkn5uh 10 5 , , , cord-313991-u2rkn5uh 10 6 under under IN cord-313991-u2rkn5uh 10 7 these these DT cord-313991-u2rkn5uh 10 8 assumptions assumption NNS cord-313991-u2rkn5uh 10 9 , , , cord-313991-u2rkn5uh 10 10 the the DT cord-313991-u2rkn5uh 10 11 relaxation relaxation NN cord-313991-u2rkn5uh 10 12 of of IN cord-313991-u2rkn5uh 10 13 quarantine quarantine NN cord-313991-u2rkn5uh 10 14 measures measure NNS cord-313991-u2rkn5uh 10 15 leads lead VBZ cord-313991-u2rkn5uh 10 16 to to IN cord-313991-u2rkn5uh 10 17 the the DT cord-313991-u2rkn5uh 10 18 resumption resumption NN cord-313991-u2rkn5uh 10 19 of of IN cord-313991-u2rkn5uh 10 20 virus virus NN cord-313991-u2rkn5uh 10 21 circulation circulation NN cord-313991-u2rkn5uh 10 22 among among IN cord-313991-u2rkn5uh 10 23 asymptomatic asymptomatic JJ cord-313991-u2rkn5uh 10 24 superspreaders superspreader NNS cord-313991-u2rkn5uh 10 25 . . . cord-313991-u2rkn5uh 11 1 Depending depend VBG cord-313991-u2rkn5uh 11 2 on on IN cord-313991-u2rkn5uh 11 3 the the DT cord-313991-u2rkn5uh 11 4 charac- charac- FW cord-313991-u2rkn5uh 11 5 teristics teristic NNS cord-313991-u2rkn5uh 11 6 of of IN cord-313991-u2rkn5uh 11 7 the the DT cord-313991-u2rkn5uh 11 8 quarantine quarantine NN cord-313991-u2rkn5uh 11 9 , , , cord-313991-u2rkn5uh 11 10 its -PRON- PRP$ cord-313991-u2rkn5uh 11 11 removal removal NN cord-313991-u2rkn5uh 11 12 may may MD cord-313991-u2rkn5uh 11 13 or or CC cord-313991-u2rkn5uh 11 14 may may MD cord-313991-u2rkn5uh 11 15 not not RB cord-313991-u2rkn5uh 11 16 lead lead VB cord-313991-u2rkn5uh 11 17 to to IN cord-313991-u2rkn5uh 11 18 a a DT cord-313991-u2rkn5uh 11 19 renewed renew VBN cord-313991-u2rkn5uh 11 20 wave wave NN cord-313991-u2rkn5uh 11 21 of of IN cord-313991-u2rkn5uh 11 22 daily daily JJ cord-313991-u2rkn5uh 11 23 morbidity morbidity NN cord-313991-u2rkn5uh 11 24 . . . cord-313991-u2rkn5uh 12 1 A a DT cord-313991-u2rkn5uh 12 2 criterion criterion NN cord-313991-u2rkn5uh 12 3 for for IN cord-313991-u2rkn5uh 12 4 the the DT cord-313991-u2rkn5uh 12 5 occurrence occurrence NN cord-313991-u2rkn5uh 12 6 and and CC cord-313991-u2rkn5uh 12 7 repeated repeated JJ cord-313991-u2rkn5uh 12 8 wave wave NN cord-313991-u2rkn5uh 12 9 of of IN cord-313991-u2rkn5uh 12 10 morbidity morbidity NN cord-313991-u2rkn5uh 12 11 is be VBZ cord-313991-u2rkn5uh 12 12 proposed propose VBN cord-313991-u2rkn5uh 12 13 based base VBN cord-313991-u2rkn5uh 12 14 on on IN cord-313991-u2rkn5uh 12 15 the the DT cord-313991-u2rkn5uh 12 16 analysis analysis NN cord-313991-u2rkn5uh 12 17 of of IN cord-313991-u2rkn5uh 12 18 the the DT cord-313991-u2rkn5uh 12 19 final final JJ cord-313991-u2rkn5uh 12 20 phase phase NN cord-313991-u2rkn5uh 12 21 of of IN cord-313991-u2rkn5uh 12 22 the the DT cord-313991-u2rkn5uh 12 23 first first JJ cord-313991-u2rkn5uh 12 24 wave wave NN cord-313991-u2rkn5uh 12 25 . . . cord-313991-u2rkn5uh 13 1 Based base VBN cord-313991-u2rkn5uh 13 2 on on IN cord-313991-u2rkn5uh 13 3 this this DT cord-313991-u2rkn5uh 13 4 criterion criterion NN cord-313991-u2rkn5uh 13 5 , , , cord-313991-u2rkn5uh 13 6 the the DT cord-313991-u2rkn5uh 13 7 repeated repeated JJ cord-313991-u2rkn5uh 13 8 wave wave NN cord-313991-u2rkn5uh 13 9 of of IN cord-313991-u2rkn5uh 13 10 the the DT cord-313991-u2rkn5uh 13 11 epidemic epidemic NN cord-313991-u2rkn5uh 13 12 is be VBZ cord-313991-u2rkn5uh 13 13 predicted predict VBN cord-313991-u2rkn5uh 13 14 in in IN cord-313991-u2rkn5uh 13 15 New New NNP cord-313991-u2rkn5uh 13 16 Zealand Zealand NNP cord-313991-u2rkn5uh 13 17 . . . cord-313991-u2rkn5uh 14 1 A a DT cord-313991-u2rkn5uh 14 2 natural natural JJ cord-313991-u2rkn5uh 14 3 explanation explanation NN cord-313991-u2rkn5uh 14 4 is be VBZ cord-313991-u2rkn5uh 14 5 given give VBN cord-313991-u2rkn5uh 14 6 for for IN cord-313991-u2rkn5uh 14 7 the the DT cord-313991-u2rkn5uh 14 8 decrease decrease NN cord-313991-u2rkn5uh 14 9 in in IN cord-313991-u2rkn5uh 14 10 lethality lethality NN cord-313991-u2rkn5uh 14 11 among among IN cord-313991-u2rkn5uh 14 12 the the DT cord-313991-u2rkn5uh 14 13 infected infect VBN cord-313991-u2rkn5uh 14 14 against against IN cord-313991-u2rkn5uh 14 15 the the DT cord-313991-u2rkn5uh 14 16 background background NN cord-313991-u2rkn5uh 14 17 of of IN cord-313991-u2rkn5uh 14 18 an an DT cord-313991-u2rkn5uh 14 19 absolute absolute JJ cord-313991-u2rkn5uh 14 20 increase increase NN cord-313991-u2rkn5uh 14 21 in in IN cord-313991-u2rkn5uh 14 22 their -PRON- PRP$ cord-313991-u2rkn5uh 14 23 number number NN cord-313991-u2rkn5uh 14 24 . . . cord-313991-u2rkn5uh 15 1 In in IN cord-313991-u2rkn5uh 15 2 previous previous JJ cord-313991-u2rkn5uh 15 3 work work NN cord-313991-u2rkn5uh 15 4 [ [ -LRB- cord-313991-u2rkn5uh 15 5 1 1 CD cord-313991-u2rkn5uh 15 6 ] ] -RRB- cord-313991-u2rkn5uh 15 7 , , , cord-313991-u2rkn5uh 15 8 a a DT cord-313991-u2rkn5uh 15 9 two two CD cord-313991-u2rkn5uh 15 10 - - HYPH cord-313991-u2rkn5uh 15 11 component component NN cord-313991-u2rkn5uh 15 12 model model NN cord-313991-u2rkn5uh 15 13 of of IN cord-313991-u2rkn5uh 15 14 the the DT cord-313991-u2rkn5uh 15 15 COVID-19 covid-19 JJ cord-313991-u2rkn5uh 15 16 epidemic epidemic NN cord-313991-u2rkn5uh 15 17 was be VBD cord-313991-u2rkn5uh 15 18 proposed propose VBN cord-313991-u2rkn5uh 15 19 . . . cord-313991-u2rkn5uh 16 1 The the DT cord-313991-u2rkn5uh 16 2 model model NN cord-313991-u2rkn5uh 16 3 is be VBZ cord-313991-u2rkn5uh 16 4 based base VBN cord-313991-u2rkn5uh 16 5 on on IN cord-313991-u2rkn5uh 16 6 the the DT cord-313991-u2rkn5uh 16 7 selection selection NN cord-313991-u2rkn5uh 16 8 of of IN cord-313991-u2rkn5uh 16 9 two two CD cord-313991-u2rkn5uh 16 10 immunologically immunologically RB cord-313991-u2rkn5uh 16 11 different different JJ cord-313991-u2rkn5uh 16 12 groups group NNS cord-313991-u2rkn5uh 16 13 of of IN cord-313991-u2rkn5uh 16 14 the the DT cord-313991-u2rkn5uh 16 15 population population NN cord-313991-u2rkn5uh 16 16 -superspreaders -superspreader NNS cord-313991-u2rkn5uh 16 17 and and CC cord-313991-u2rkn5uh 16 18 sensitive sensitive JJ cord-313991-u2rkn5uh 16 19 . . . cord-313991-u2rkn5uh 17 1 Superspreaders superspreader NNS cord-313991-u2rkn5uh 17 2 carry carry VBP cord-313991-u2rkn5uh 17 3 the the DT cord-313991-u2rkn5uh 17 4 infection infection NN cord-313991-u2rkn5uh 17 5 without without IN cord-313991-u2rkn5uh 17 6 visible visible JJ cord-313991-u2rkn5uh 17 7 symptoms symptom NNS cord-313991-u2rkn5uh 17 8 , , , cord-313991-u2rkn5uh 17 9 so so RB cord-313991-u2rkn5uh 17 10 they -PRON- PRP cord-313991-u2rkn5uh 17 11 spread spread VBD cord-313991-u2rkn5uh 17 12 it -PRON- PRP cord-313991-u2rkn5uh 17 13 . . . cord-313991-u2rkn5uh 18 1 Sensitive sensitive JJ cord-313991-u2rkn5uh 18 2 , , , cord-313991-u2rkn5uh 18 3 having have VBG cord-313991-u2rkn5uh 18 4 received receive VBN cord-313991-u2rkn5uh 18 5 an an DT cord-313991-u2rkn5uh 18 6 infection infection NN cord-313991-u2rkn5uh 18 7 , , , cord-313991-u2rkn5uh 18 8 fall fall VB cord-313991-u2rkn5uh 18 9 ill ill RB cord-313991-u2rkn5uh 18 10 , , , cord-313991-u2rkn5uh 18 11 are be VBP cord-313991-u2rkn5uh 18 12 isolated isolate VBN cord-313991-u2rkn5uh 18 13 and and CC cord-313991-u2rkn5uh 18 14 therefore therefore RB cord-313991-u2rkn5uh 18 15 can can MD cord-313991-u2rkn5uh 18 16 not not RB cord-313991-u2rkn5uh 18 17 spread spread VB cord-313991-u2rkn5uh 18 18 it -PRON- PRP cord-313991-u2rkn5uh 18 19 further further RB cord-313991-u2rkn5uh 18 20 . . . cord-313991-u2rkn5uh 19 1 A a DT cord-313991-u2rkn5uh 19 2 few few JJ cord-313991-u2rkn5uh 19 3 relevant relevant JJ cord-313991-u2rkn5uh 19 4 examples example NNS cord-313991-u2rkn5uh 19 5 have have VBP cord-313991-u2rkn5uh 19 6 shown show VBN cord-313991-u2rkn5uh 19 7 that that IN cord-313991-u2rkn5uh 19 8 the the DT cord-313991-u2rkn5uh 19 9 model model NN cord-313991-u2rkn5uh 19 10 adequately adequately RB cord-313991-u2rkn5uh 19 11 describes describe VBZ cord-313991-u2rkn5uh 19 12 the the DT cord-313991-u2rkn5uh 19 13 course course NN cord-313991-u2rkn5uh 19 14 of of IN cord-313991-u2rkn5uh 19 15 the the DT cord-313991-u2rkn5uh 19 16 COVID-19 covid-19 JJ cord-313991-u2rkn5uh 19 17 epidemic epidemic NN cord-313991-u2rkn5uh 19 18 . . . cord-313991-u2rkn5uh 20 1 At at IN cord-313991-u2rkn5uh 20 2 the the DT cord-313991-u2rkn5uh 20 3 same same JJ cord-313991-u2rkn5uh 20 4 time time NN cord-313991-u2rkn5uh 20 5 , , , cord-313991-u2rkn5uh 20 6 the the DT cord-313991-u2rkn5uh 20 7 two two CD cord-313991-u2rkn5uh 20 8 - - HYPH cord-313991-u2rkn5uh 20 9 component component NN cord-313991-u2rkn5uh 20 10 model model NN cord-313991-u2rkn5uh 20 11 describes describe VBZ cord-313991-u2rkn5uh 20 12 only only RB cord-313991-u2rkn5uh 20 13 the the DT cord-313991-u2rkn5uh 20 14 spread spread NN cord-313991-u2rkn5uh 20 15 of of IN cord-313991-u2rkn5uh 20 16 the the DT cord-313991-u2rkn5uh 20 17 virus virus NN cord-313991-u2rkn5uh 20 18 and and CC cord-313991-u2rkn5uh 20 19 does do VBZ cord-313991-u2rkn5uh 20 20 not not RB cord-313991-u2rkn5uh 20 21 consider consider VB cord-313991-u2rkn5uh 20 22 the the DT cord-313991-u2rkn5uh 20 23 recovery recovery NN cord-313991-u2rkn5uh 20 24 processes process NNS cord-313991-u2rkn5uh 20 25 . . . cord-313991-u2rkn5uh 21 1 Further further RB cord-313991-u2rkn5uh 21 2 , , , cord-313991-u2rkn5uh 21 3 it -PRON- PRP cord-313991-u2rkn5uh 21 4 does do VBZ cord-313991-u2rkn5uh 21 5 not not RB cord-313991-u2rkn5uh 21 6 consider consider VB cord-313991-u2rkn5uh 21 7 quarantine quarantine NN cord-313991-u2rkn5uh 21 8 measures measure NNS cord-313991-u2rkn5uh 21 9 during during IN cord-313991-u2rkn5uh 21 10 the the DT cord-313991-u2rkn5uh 21 11 epidemic epidemic NN cord-313991-u2rkn5uh 21 12 and and CC cord-313991-u2rkn5uh 21 13 the the DT cord-313991-u2rkn5uh 21 14 impact impact NN cord-313991-u2rkn5uh 21 15 of of IN cord-313991-u2rkn5uh 21 16 these these DT cord-313991-u2rkn5uh 21 17 measures measure NNS cord-313991-u2rkn5uh 21 18 on on IN cord-313991-u2rkn5uh 21 19 the the DT cord-313991-u2rkn5uh 21 20 course course NN cord-313991-u2rkn5uh 21 21 of of IN cord-313991-u2rkn5uh 21 22 the the DT cord-313991-u2rkn5uh 21 23 epidemic epidemic NN cord-313991-u2rkn5uh 21 24 itself -PRON- PRP cord-313991-u2rkn5uh 21 25 . . . cord-313991-u2rkn5uh 22 1 In in IN cord-313991-u2rkn5uh 22 2 this this DT cord-313991-u2rkn5uh 22 3 paper paper NN cord-313991-u2rkn5uh 22 4 , , , cord-313991-u2rkn5uh 22 5 we -PRON- PRP cord-313991-u2rkn5uh 22 6 will will MD cord-313991-u2rkn5uh 22 7 include include VB cord-313991-u2rkn5uh 22 8 these these DT cord-313991-u2rkn5uh 22 9 factors factor NNS cord-313991-u2rkn5uh 22 10 in in IN cord-313991-u2rkn5uh 22 11 the the DT cord-313991-u2rkn5uh 22 12 twocomponent twocomponent NN cord-313991-u2rkn5uh 22 13 model model NN cord-313991-u2rkn5uh 22 14 and and CC cord-313991-u2rkn5uh 22 15 examine examine VB cord-313991-u2rkn5uh 22 16 their -PRON- PRP$ cord-313991-u2rkn5uh 22 17 impact impact NN cord-313991-u2rkn5uh 22 18 on on IN cord-313991-u2rkn5uh 22 19 the the DT cord-313991-u2rkn5uh 22 20 final final JJ cord-313991-u2rkn5uh 22 21 phase phase NN cord-313991-u2rkn5uh 22 22 of of IN cord-313991-u2rkn5uh 22 23 the the DT cord-313991-u2rkn5uh 22 24 epidemic epidemic NN cord-313991-u2rkn5uh 22 25 . . . cord-313991-u2rkn5uh 23 1 In in IN cord-313991-u2rkn5uh 23 2 particular particular JJ cord-313991-u2rkn5uh 23 3 , , , cord-313991-u2rkn5uh 23 4 the the DT cord-313991-u2rkn5uh 23 5 possibility possibility NN cord-313991-u2rkn5uh 23 6 of of IN cord-313991-u2rkn5uh 23 7 a a DT cord-313991-u2rkn5uh 23 8 second second JJ cord-313991-u2rkn5uh 23 9 wave wave NN cord-313991-u2rkn5uh 23 10 of of IN cord-313991-u2rkn5uh 23 11 the the DT cord-313991-u2rkn5uh 23 12 epidemic epidemic NN cord-313991-u2rkn5uh 23 13 will will MD cord-313991-u2rkn5uh 23 14 be be VB cord-313991-u2rkn5uh 23 15 considered consider VBN cord-313991-u2rkn5uh 23 16 , , , cord-313991-u2rkn5uh 23 17 and and CC cord-313991-u2rkn5uh 23 18 the the DT cord-313991-u2rkn5uh 23 19 conditions condition NNS cord-313991-u2rkn5uh 23 20 for for IN cord-313991-u2rkn5uh 23 21 its -PRON- PRP$ cord-313991-u2rkn5uh 23 22 appearance appearance NN cord-313991-u2rkn5uh 23 23 will will MD cord-313991-u2rkn5uh 23 24 be be VB cord-313991-u2rkn5uh 23 25 determined determine VBN cord-313991-u2rkn5uh 23 26 . . . cord-313991-u2rkn5uh 24 1 The the DT cord-313991-u2rkn5uh 24 2 article article NN cord-313991-u2rkn5uh 24 3 is be VBZ cord-313991-u2rkn5uh 24 4 structured structure VBN cord-313991-u2rkn5uh 24 5 as as IN cord-313991-u2rkn5uh 24 6 follows follow VBZ cord-313991-u2rkn5uh 24 7 . . . cord-313991-u2rkn5uh 25 1 In in IN cord-313991-u2rkn5uh 25 2 its -PRON- PRP$ cord-313991-u2rkn5uh 25 3 second second JJ cord-313991-u2rkn5uh 25 4 part part NN cord-313991-u2rkn5uh 25 5 , , , cord-313991-u2rkn5uh 25 6 we -PRON- PRP cord-313991-u2rkn5uh 25 7 consider consider VBP cord-313991-u2rkn5uh 25 8 the the DT cord-313991-u2rkn5uh 25 9 impact impact NN cord-313991-u2rkn5uh 25 10 of of IN cord-313991-u2rkn5uh 25 11 recovery recovery NN cord-313991-u2rkn5uh 25 12 processes process NNS cord-313991-u2rkn5uh 25 13 on on IN cord-313991-u2rkn5uh 25 14 the the DT cord-313991-u2rkn5uh 25 15 dynamics dynamic NNS cord-313991-u2rkn5uh 25 16 of of IN cord-313991-u2rkn5uh 25 17 the the DT cord-313991-u2rkn5uh 25 18 epidemic epidemic NN cord-313991-u2rkn5uh 25 19 in in IN cord-313991-u2rkn5uh 25 20 the the DT cord-313991-u2rkn5uh 25 21 framework framework NN cord-313991-u2rkn5uh 25 22 of of IN cord-313991-u2rkn5uh 25 23 the the DT cord-313991-u2rkn5uh 25 24 two two CD cord-313991-u2rkn5uh 25 25 - - HYPH cord-313991-u2rkn5uh 25 26 component component NN cord-313991-u2rkn5uh 25 27 model model NN cord-313991-u2rkn5uh 25 28 , , , cord-313991-u2rkn5uh 25 29 as as RB cord-313991-u2rkn5uh 25 30 well well RB cord-313991-u2rkn5uh 25 31 as as IN cord-313991-u2rkn5uh 25 32 the the DT cord-313991-u2rkn5uh 25 33 impact impact NN cord-313991-u2rkn5uh 25 34 of of IN cord-313991-u2rkn5uh 25 35 the the DT cord-313991-u2rkn5uh 25 36 quarantine quarantine NN cord-313991-u2rkn5uh 25 37 as as IN cord-313991-u2rkn5uh 25 38 a a DT cord-313991-u2rkn5uh 25 39 factor factor NN cord-313991-u2rkn5uh 25 40 affecting affect VBG cord-313991-u2rkn5uh 25 41 the the DT cord-313991-u2rkn5uh 25 42 spread spread NN cord-313991-u2rkn5uh 25 43 rate rate NN cord-313991-u2rkn5uh 25 44 . . . cord-313991-u2rkn5uh 26 1 In in IN cord-313991-u2rkn5uh 26 2 this this DT cord-313991-u2rkn5uh 26 3 part part NN cord-313991-u2rkn5uh 26 4 , , , cord-313991-u2rkn5uh 26 5 we -PRON- PRP cord-313991-u2rkn5uh 26 6 introduce introduce VBP cord-313991-u2rkn5uh 26 7 both both DT cord-313991-u2rkn5uh 26 8 factors factor NNS cord-313991-u2rkn5uh 26 9 into into IN cord-313991-u2rkn5uh 26 10 the the DT cord-313991-u2rkn5uh 26 11 dynamic dynamic JJ cord-313991-u2rkn5uh 26 12 equations equation NNS cord-313991-u2rkn5uh 26 13 of of IN cord-313991-u2rkn5uh 26 14 the the DT cord-313991-u2rkn5uh 26 15 two two CD cord-313991-u2rkn5uh 26 16 - - HYPH cord-313991-u2rkn5uh 26 17 component component NN cord-313991-u2rkn5uh 26 18 model model NN cord-313991-u2rkn5uh 26 19 and and CC cord-313991-u2rkn5uh 26 20 find find VB cord-313991-u2rkn5uh 26 21 an an DT cord-313991-u2rkn5uh 26 22 analytical analytical JJ cord-313991-u2rkn5uh 26 23 solution solution NN cord-313991-u2rkn5uh 26 24 under under IN cord-313991-u2rkn5uh 26 25 conditions condition NNS cord-313991-u2rkn5uh 26 26 of of IN cord-313991-u2rkn5uh 26 27 permanent permanent JJ cord-313991-u2rkn5uh 26 28 quarantine quarantine NN cord-313991-u2rkn5uh 26 29 . . . cord-313991-u2rkn5uh 27 1 The the DT cord-313991-u2rkn5uh 27 2 third third JJ cord-313991-u2rkn5uh 27 3 part part NN cord-313991-u2rkn5uh 27 4 examines examine VBZ cord-313991-u2rkn5uh 27 5 the the DT cord-313991-u2rkn5uh 27 6 4 4 CD cord-313991-u2rkn5uh 27 7 phases phase NNS cord-313991-u2rkn5uh 27 8 of of IN cord-313991-u2rkn5uh 27 9 the the DT cord-313991-u2rkn5uh 27 10 epidemic epidemic NN cord-313991-u2rkn5uh 27 11 . . . cord-313991-u2rkn5uh 28 1 In in IN cord-313991-u2rkn5uh 28 2 particular particular JJ cord-313991-u2rkn5uh 28 3 , , , cord-313991-u2rkn5uh 28 4 the the DT cord-313991-u2rkn5uh 28 5 effect effect NN cord-313991-u2rkn5uh 28 6 of of IN cord-313991-u2rkn5uh 28 7 lifting lift VBG cord-313991-u2rkn5uh 28 8 the the DT cord-313991-u2rkn5uh 28 9 quarantine quarantine NN cord-313991-u2rkn5uh 28 10 in in IN cord-313991-u2rkn5uh 28 11 the the DT cord-313991-u2rkn5uh 28 12 final final JJ cord-313991-u2rkn5uh 28 13 phase phase NN cord-313991-u2rkn5uh 28 14 is be VBZ cord-313991-u2rkn5uh 28 15 being be VBG cord-313991-u2rkn5uh 28 16 investigated investigate VBN cord-313991-u2rkn5uh 28 17 . . . cord-313991-u2rkn5uh 29 1 The the DT cord-313991-u2rkn5uh 29 2 effect effect NN cord-313991-u2rkn5uh 29 3 is be VBZ cord-313991-u2rkn5uh 29 4 to to TO cord-313991-u2rkn5uh 29 5 re re VB cord-313991-u2rkn5uh 29 6 - - VB cord-313991-u2rkn5uh 29 7 increase increase VB cord-313991-u2rkn5uh 29 8 the the DT cord-313991-u2rkn5uh 29 9 endemic endemic JJ cord-313991-u2rkn5uh 29 10 equilibrium equilibrium NN cord-313991-u2rkn5uh 29 11 number number NN cord-313991-u2rkn5uh 29 12 of of IN cord-313991-u2rkn5uh 29 13 asymptomatic asymptomatic JJ cord-313991-u2rkn5uh 29 14 superspreaders superspreader NNS cord-313991-u2rkn5uh 29 15 . . . cord-313991-u2rkn5uh 30 1 This this DT cord-313991-u2rkn5uh 30 2 , , , cord-313991-u2rkn5uh 30 3 however however RB cord-313991-u2rkn5uh 30 4 , , , cord-313991-u2rkn5uh 30 5 does do VBZ cord-313991-u2rkn5uh 30 6 not not RB cord-313991-u2rkn5uh 30 7 mean mean VB cord-313991-u2rkn5uh 31 1 * * NFP cord-313991-u2rkn5uh 31 2 Electronic electronic JJ cord-313991-u2rkn5uh 31 3 address address NN cord-313991-u2rkn5uh 31 4 : : : cord-313991-u2rkn5uh 31 5 dimaschko@gmx.net dimaschko@gmx.net ADD cord-313991-u2rkn5uh 31 6 an an DT cord-313991-u2rkn5uh 31 7 automatic automatic JJ cord-313991-u2rkn5uh 31 8 re re NN cord-313991-u2rkn5uh 31 9 - - NN cord-313991-u2rkn5uh 31 10 increase increase NN cord-313991-u2rkn5uh 31 11 in in IN cord-313991-u2rkn5uh 31 12 the the DT cord-313991-u2rkn5uh 31 13 incidence incidence NN cord-313991-u2rkn5uh 31 14 , , , cord-313991-u2rkn5uh 31 15 if if IN cord-313991-u2rkn5uh 31 16 the the DT cord-313991-u2rkn5uh 31 17 proportion proportion NN cord-313991-u2rkn5uh 31 18 of of IN cord-313991-u2rkn5uh 31 19 those those DT cord-313991-u2rkn5uh 31 20 who who WP cord-313991-u2rkn5uh 31 21 have have VBP cord-313991-u2rkn5uh 31 22 been be VBN cord-313991-u2rkn5uh 31 23 ill ill JJ cord-313991-u2rkn5uh 31 24 and and CC cord-313991-u2rkn5uh 31 25 who who WP cord-313991-u2rkn5uh 31 26 have have VBP cord-313991-u2rkn5uh 31 27 received receive VBN cord-313991-u2rkn5uh 31 28 immunity immunity NN cord-313991-u2rkn5uh 31 29 among among IN cord-313991-u2rkn5uh 31 30 the the DT cord-313991-u2rkn5uh 31 31 sensitive sensitive JJ cord-313991-u2rkn5uh 31 32 is be VBZ cord-313991-u2rkn5uh 31 33 already already RB cord-313991-u2rkn5uh 31 34 large large JJ cord-313991-u2rkn5uh 31 35 enough enough RB cord-313991-u2rkn5uh 31 36 . . . cord-313991-u2rkn5uh 32 1 In in IN cord-313991-u2rkn5uh 32 2 the the DT cord-313991-u2rkn5uh 32 3 fourth fourth JJ cord-313991-u2rkn5uh 32 4 section section NN cord-313991-u2rkn5uh 32 5 , , , cord-313991-u2rkn5uh 32 6 we -PRON- PRP cord-313991-u2rkn5uh 32 7 formulate formulate VBP cord-313991-u2rkn5uh 32 8 a a DT cord-313991-u2rkn5uh 32 9 criterion criterion NN cord-313991-u2rkn5uh 32 10 for for IN cord-313991-u2rkn5uh 32 11 predicting predict VBG cord-313991-u2rkn5uh 32 12 the the DT cord-313991-u2rkn5uh 32 13 presence presence NN cord-313991-u2rkn5uh 32 14 of of IN cord-313991-u2rkn5uh 32 15 a a DT cord-313991-u2rkn5uh 32 16 re re NN cord-313991-u2rkn5uh 32 17 - - NN cord-313991-u2rkn5uh 32 18 wave wave NN cord-313991-u2rkn5uh 32 19 based base VBN cord-313991-u2rkn5uh 32 20 on on IN cord-313991-u2rkn5uh 32 21 the the DT cord-313991-u2rkn5uh 32 22 analysis analysis NN cord-313991-u2rkn5uh 32 23 of of IN cord-313991-u2rkn5uh 32 24 the the DT cord-313991-u2rkn5uh 32 25 final final JJ cord-313991-u2rkn5uh 32 26 segment segment NN cord-313991-u2rkn5uh 32 27 of of IN cord-313991-u2rkn5uh 32 28 the the DT cord-313991-u2rkn5uh 32 29 first first JJ cord-313991-u2rkn5uh 32 30 phase phase NN cord-313991-u2rkn5uh 32 31 of of IN cord-313991-u2rkn5uh 32 32 the the DT cord-313991-u2rkn5uh 32 33 epidemic epidemic NN cord-313991-u2rkn5uh 32 34 . . . cord-313991-u2rkn5uh 33 1 Next next RB cord-313991-u2rkn5uh 33 2 , , , cord-313991-u2rkn5uh 33 3 we -PRON- PRP cord-313991-u2rkn5uh 33 4 compare compare VBP cord-313991-u2rkn5uh 33 5 the the DT cord-313991-u2rkn5uh 33 6 results result NNS cord-313991-u2rkn5uh 33 7 obtained obtain VBN cord-313991-u2rkn5uh 33 8 with with IN cord-313991-u2rkn5uh 33 9 the the DT cord-313991-u2rkn5uh 33 10 current current JJ cord-313991-u2rkn5uh 33 11 course course NN cord-313991-u2rkn5uh 33 12 of of IN cord-313991-u2rkn5uh 33 13 the the DT cord-313991-u2rkn5uh 33 14 epidemic epidemic NN cord-313991-u2rkn5uh 33 15 in in IN cord-313991-u2rkn5uh 33 16 a a DT cord-313991-u2rkn5uh 33 17 few few JJ cord-313991-u2rkn5uh 33 18 countries country NNS cord-313991-u2rkn5uh 33 19 and and CC cord-313991-u2rkn5uh 33 20 territories territory NNS cord-313991-u2rkn5uh 33 21 . . . cord-313991-u2rkn5uh 34 1 The the DT cord-313991-u2rkn5uh 34 2 final final JJ cord-313991-u2rkn5uh 34 3 section section NN cord-313991-u2rkn5uh 34 4 summarizes summarize VBZ cord-313991-u2rkn5uh 34 5 the the DT cord-313991-u2rkn5uh 34 6 application application NN cord-313991-u2rkn5uh 34 7 of of IN cord-313991-u2rkn5uh 34 8 the the DT cord-313991-u2rkn5uh 34 9 model model NN cord-313991-u2rkn5uh 34 10 to to IN cord-313991-u2rkn5uh 34 11 the the DT cord-313991-u2rkn5uh 34 12 course course NN cord-313991-u2rkn5uh 34 13 of of IN cord-313991-u2rkn5uh 34 14 the the DT cord-313991-u2rkn5uh 34 15 current current JJ cord-313991-u2rkn5uh 34 16 COVID-19 covid-19 CD cord-313991-u2rkn5uh 34 17 pandemic pandemic NN cord-313991-u2rkn5uh 34 18 and and CC cord-313991-u2rkn5uh 34 19 provides provide VBZ cord-313991-u2rkn5uh 34 20 a a DT cord-313991-u2rkn5uh 34 21 natural natural JJ cord-313991-u2rkn5uh 34 22 explanation explanation NN cord-313991-u2rkn5uh 34 23 for for IN cord-313991-u2rkn5uh 34 24 the the DT cord-313991-u2rkn5uh 34 25 decrease decrease NN cord-313991-u2rkn5uh 34 26 in in IN cord-313991-u2rkn5uh 34 27 mortality mortality NN cord-313991-u2rkn5uh 34 28 resulting result VBG cord-313991-u2rkn5uh 34 29 from from IN cord-313991-u2rkn5uh 34 30 the the DT cord-313991-u2rkn5uh 34 31 two two CD cord-313991-u2rkn5uh 34 32 - - HYPH cord-313991-u2rkn5uh 34 33 component component NN cord-313991-u2rkn5uh 34 34 model model NN cord-313991-u2rkn5uh 34 35 . . . cord-313991-u2rkn5uh 35 1 The the DT cord-313991-u2rkn5uh 35 2 dynamic dynamic JJ cord-313991-u2rkn5uh 35 3 equations equation NNS cord-313991-u2rkn5uh 35 4 of of IN cord-313991-u2rkn5uh 35 5 the the DT cord-313991-u2rkn5uh 35 6 two two CD cord-313991-u2rkn5uh 35 7 - - HYPH cord-313991-u2rkn5uh 35 8 component component NN cord-313991-u2rkn5uh 35 9 model model NN cord-313991-u2rkn5uh 35 10 [ [ -LRB- cord-313991-u2rkn5uh 35 11 1 1 CD cord-313991-u2rkn5uh 35 12 ] ] -RRB- cord-313991-u2rkn5uh 35 13 describe describe VB cord-313991-u2rkn5uh 35 14 the the DT cord-313991-u2rkn5uh 35 15 change change NN cord-313991-u2rkn5uh 35 16 in in IN cord-313991-u2rkn5uh 35 17 the the DT cord-313991-u2rkn5uh 35 18 number number NN cord-313991-u2rkn5uh 35 19 of of IN cord-313991-u2rkn5uh 35 20 infected infected JJ cord-313991-u2rkn5uh 35 21 sensitive sensitive JJ cord-313991-u2rkn5uh 35 22 ( ( -LRB- cord-313991-u2rkn5uh 35 23 n n NN cord-313991-u2rkn5uh 35 24 1 1 CD cord-313991-u2rkn5uh 35 25 out out IN cord-313991-u2rkn5uh 35 26 of of IN cord-313991-u2rkn5uh 35 27 their -PRON- PRP$ cord-313991-u2rkn5uh 35 28 total total JJ cord-313991-u2rkn5uh 35 29 number number NN cord-313991-u2rkn5uh 35 30 N n CD cord-313991-u2rkn5uh 35 31 1 1 CD cord-313991-u2rkn5uh 35 32 ) ) -RRB- cord-313991-u2rkn5uh 35 33 and and CC cord-313991-u2rkn5uh 35 34 the the DT cord-313991-u2rkn5uh 35 35 number number NN cord-313991-u2rkn5uh 35 36 of of IN cord-313991-u2rkn5uh 35 37 infected infected JJ cord-313991-u2rkn5uh 35 38 superspreaders superspreader NNS cord-313991-u2rkn5uh 35 39 ( ( -LRB- cord-313991-u2rkn5uh 35 40 n n NN cord-313991-u2rkn5uh 35 41 2 2 CD cord-313991-u2rkn5uh 35 42 out out IN cord-313991-u2rkn5uh 35 43 of of IN cord-313991-u2rkn5uh 35 44 their -PRON- PRP$ cord-313991-u2rkn5uh 35 45 total total JJ cord-313991-u2rkn5uh 35 46 number number NN cord-313991-u2rkn5uh 35 47 N n CD cord-313991-u2rkn5uh 35 48 2 2 CD cord-313991-u2rkn5uh 35 49 ) ) -RRB- cord-313991-u2rkn5uh 35 50 over over IN cord-313991-u2rkn5uh 35 51 time time NN cord-313991-u2rkn5uh 35 52 : : : cord-313991-u2rkn5uh 35 53 In in IN cord-313991-u2rkn5uh 35 54 this this DT cord-313991-u2rkn5uh 35 55 model model NN cord-313991-u2rkn5uh 35 56 , , , cord-313991-u2rkn5uh 35 57 only only RB cord-313991-u2rkn5uh 35 58 superspreaders superspreader NNS cord-313991-u2rkn5uh 35 59 spread spread VBD cord-313991-u2rkn5uh 35 60 the the DT cord-313991-u2rkn5uh 35 61 infection infection NN cord-313991-u2rkn5uh 35 62 , , , cord-313991-u2rkn5uh 35 63 see see VB cord-313991-u2rkn5uh 35 64 Fig.1 fig.1 NN cord-313991-u2rkn5uh 35 65 . . . cord-313991-u2rkn5uh 36 1 Equations equation NNS cord-313991-u2rkn5uh 36 2 ( ( -LRB- cord-313991-u2rkn5uh 36 3 1,2 1,2 CD cord-313991-u2rkn5uh 36 4 ) ) -RRB- cord-313991-u2rkn5uh 36 5 take take VB cord-313991-u2rkn5uh 36 6 into into IN cord-313991-u2rkn5uh 36 7 account account NN cord-313991-u2rkn5uh 36 8 only only RB cord-313991-u2rkn5uh 36 9 the the DT cord-313991-u2rkn5uh 36 10 process process NN cord-313991-u2rkn5uh 36 11 of of IN cord-313991-u2rkn5uh 36 12 infection infection NN cord-313991-u2rkn5uh 36 13 spread spread VBD cord-313991-u2rkn5uh 36 14 and and CC cord-313991-u2rkn5uh 36 15 do do VBP cord-313991-u2rkn5uh 36 16 not not RB cord-313991-u2rkn5uh 36 17 take take VB cord-313991-u2rkn5uh 36 18 into into IN cord-313991-u2rkn5uh 36 19 account account NN cord-313991-u2rkn5uh 36 20 the the DT cord-313991-u2rkn5uh 36 21 recovery recovery NN cord-313991-u2rkn5uh 36 22 processes process NNS cord-313991-u2rkn5uh 36 23 . . . cord-313991-u2rkn5uh 37 1 In in IN cord-313991-u2rkn5uh 37 2 addition addition NN cord-313991-u2rkn5uh 37 3 , , , cord-313991-u2rkn5uh 37 4 they -PRON- PRP cord-313991-u2rkn5uh 37 5 do do VBP cord-313991-u2rkn5uh 37 6 not not RB cord-313991-u2rkn5uh 37 7 take take VB cord-313991-u2rkn5uh 37 8 into into IN cord-313991-u2rkn5uh 37 9 account account NN cord-313991-u2rkn5uh 37 10 the the DT cord-313991-u2rkn5uh 37 11 quarantine quarantine NN cord-313991-u2rkn5uh 37 12 measures measure NNS cord-313991-u2rkn5uh 37 13 that that WDT cord-313991-u2rkn5uh 37 14 have have VBP cord-313991-u2rkn5uh 37 15 a a DT cord-313991-u2rkn5uh 37 16 direct direct JJ cord-313991-u2rkn5uh 37 17 impact impact NN cord-313991-u2rkn5uh 37 18 on on IN cord-313991-u2rkn5uh 37 19 the the DT cord-313991-u2rkn5uh 37 20 spread spread NN cord-313991-u2rkn5uh 37 21 rates rate NNS cord-313991-u2rkn5uh 37 22 of of IN cord-313991-u2rkn5uh 37 23 g g NN cord-313991-u2rkn5uh 37 24 1 1 CD cord-313991-u2rkn5uh 37 25 and and CC cord-313991-u2rkn5uh 37 26 g g NN cord-313991-u2rkn5uh 37 27 2 2 CD cord-313991-u2rkn5uh 37 28 . . . cord-313991-u2rkn5uh 38 1 To to TO cord-313991-u2rkn5uh 38 2 consider consider VB cord-313991-u2rkn5uh 38 3 this this DT cord-313991-u2rkn5uh 38 4 effect effect NN cord-313991-u2rkn5uh 38 5 , , , cord-313991-u2rkn5uh 38 6 we -PRON- PRP cord-313991-u2rkn5uh 38 7 introduce introduce VBP cord-313991-u2rkn5uh 38 8 the the DT cord-313991-u2rkn5uh 38 9 quarantine quarantine NN cord-313991-u2rkn5uh 38 10 factor factor NN cord-313991-u2rkn5uh 38 11 Q Q NNP cord-313991-u2rkn5uh 38 12 , , , cord-313991-u2rkn5uh 38 13 which which WDT cord-313991-u2rkn5uh 38 14 takes take VBZ cord-313991-u2rkn5uh 38 15 a a DT cord-313991-u2rkn5uh 38 16 value value NN cord-313991-u2rkn5uh 38 17 from from IN cord-313991-u2rkn5uh 38 18 0 0 CD cord-313991-u2rkn5uh 38 19 to to IN cord-313991-u2rkn5uh 38 20 1 1 CD cord-313991-u2rkn5uh 38 21 . . . cord-313991-u2rkn5uh 39 1 The the DT cord-313991-u2rkn5uh 39 2 effect effect NN cord-313991-u2rkn5uh 39 3 of of IN cord-313991-u2rkn5uh 39 4 Fig Fig NNP cord-313991-u2rkn5uh 39 5 . . . cord-313991-u2rkn5uh 39 6 1 1 CD cord-313991-u2rkn5uh 39 7 : : : cord-313991-u2rkn5uh 39 8 Scheme scheme NN cord-313991-u2rkn5uh 39 9 of of IN cord-313991-u2rkn5uh 39 10 the the DT cord-313991-u2rkn5uh 39 11 two two CD cord-313991-u2rkn5uh 39 12 - - HYPH cord-313991-u2rkn5uh 39 13 component component NN cord-313991-u2rkn5uh 39 14 epidemic epidemic NN cord-313991-u2rkn5uh 39 15 model model NN cord-313991-u2rkn5uh 39 16 quarantine quarantine NN cord-313991-u2rkn5uh 39 17 on on IN cord-313991-u2rkn5uh 39 18 the the DT cord-313991-u2rkn5uh 39 19 dynamics dynamic NNS cord-313991-u2rkn5uh 39 20 of of IN cord-313991-u2rkn5uh 39 21 the the DT cord-313991-u2rkn5uh 39 22 spread spread NN cord-313991-u2rkn5uh 39 23 is be VBZ cord-313991-u2rkn5uh 39 24 reduced reduce VBN cord-313991-u2rkn5uh 39 25 due due IN cord-313991-u2rkn5uh 39 26 to to IN cord-313991-u2rkn5uh 39 27 the the DT cord-313991-u2rkn5uh 39 28 same same JJ cord-313991-u2rkn5uh 39 29 decrease decrease NN cord-313991-u2rkn5uh 39 30 in in IN cord-313991-u2rkn5uh 39 31 the the DT cord-313991-u2rkn5uh 39 32 spread spread NN cord-313991-u2rkn5uh 39 33 rates rate NNS cord-313991-u2rkn5uh 39 34 g g NNP cord-313991-u2rkn5uh 39 35 1 1 CD cord-313991-u2rkn5uh 39 36 and and CC cord-313991-u2rkn5uh 39 37 g g NN cord-313991-u2rkn5uh 39 38 2 2 CD cord-313991-u2rkn5uh 39 39 : : : cord-313991-u2rkn5uh 39 40 When when WRB cord-313991-u2rkn5uh 39 41 considering consider VBG cord-313991-u2rkn5uh 39 42 the the DT cord-313991-u2rkn5uh 39 43 recovery recovery NN cord-313991-u2rkn5uh 39 44 processes process NNS cord-313991-u2rkn5uh 39 45 , , , cord-313991-u2rkn5uh 39 46 we -PRON- PRP cord-313991-u2rkn5uh 39 47 will will MD cord-313991-u2rkn5uh 39 48 proceed proceed VB cord-313991-u2rkn5uh 39 49 from from IN cord-313991-u2rkn5uh 39 50 the the DT cord-313991-u2rkn5uh 39 51 assumption assumption NN cord-313991-u2rkn5uh 39 52 that that IN cord-313991-u2rkn5uh 39 53 after after IN cord-313991-u2rkn5uh 39 54 suffering suffer VBG cord-313991-u2rkn5uh 39 55 a a DT cord-313991-u2rkn5uh 39 56 disease disease NN cord-313991-u2rkn5uh 39 57 with with IN cord-313991-u2rkn5uh 39 58 severe severe JJ cord-313991-u2rkn5uh 39 59 symptoms symptom NNS cord-313991-u2rkn5uh 39 60 , , , cord-313991-u2rkn5uh 39 61 a a DT cord-313991-u2rkn5uh 39 62 person person NN cord-313991-u2rkn5uh 39 63 acquires acquire VBZ cord-313991-u2rkn5uh 39 64 absolute absolute JJ cord-313991-u2rkn5uh 39 65 immunity immunity NN cord-313991-u2rkn5uh 39 66 . . . cord-313991-u2rkn5uh 40 1 Thus thus RB cord-313991-u2rkn5uh 40 2 , , , cord-313991-u2rkn5uh 40 3 he -PRON- PRP cord-313991-u2rkn5uh 40 4 is be VBZ cord-313991-u2rkn5uh 40 5 deprived deprive VBN cord-313991-u2rkn5uh 40 6 of of IN cord-313991-u2rkn5uh 40 7 the the DT cord-313991-u2rkn5uh 40 8 opportunity opportunity NN cord-313991-u2rkn5uh 40 9 to to TO cord-313991-u2rkn5uh 40 10 be be VB cord-313991-u2rkn5uh 40 11 re re VBN cord-313991-u2rkn5uh 40 12 - - VBN cord-313991-u2rkn5uh 40 13 infected infect VBN cord-313991-u2rkn5uh 40 14 and and CC cord-313991-u2rkn5uh 40 15 , , , cord-313991-u2rkn5uh 40 16 from from IN cord-313991-u2rkn5uh 40 17 the the DT cord-313991-u2rkn5uh 40 18 point point NN cord-313991-u2rkn5uh 40 19 of of IN cord-313991-u2rkn5uh 40 20 view view NN cord-313991-u2rkn5uh 40 21 of of IN cord-313991-u2rkn5uh 40 22 the the DT cord-313991-u2rkn5uh 40 23 model model NN cord-313991-u2rkn5uh 40 24 , , , cord-313991-u2rkn5uh 40 25 is be VBZ cord-313991-u2rkn5uh 40 26 no no RB cord-313991-u2rkn5uh 40 27 different different JJ cord-313991-u2rkn5uh 40 28 from from IN cord-313991-u2rkn5uh 40 29 a a DT cord-313991-u2rkn5uh 40 30 simple simple JJ cord-313991-u2rkn5uh 40 31 patient patient NN cord-313991-u2rkn5uh 41 1 -both -both . cord-313991-u2rkn5uh 42 1 during during IN cord-313991-u2rkn5uh 42 2 the the DT cord-313991-u2rkn5uh 42 3 illness illness NN cord-313991-u2rkn5uh 42 4 and and CC cord-313991-u2rkn5uh 42 5 after after IN cord-313991-u2rkn5uh 42 6 it -PRON- PRP cord-313991-u2rkn5uh 42 7 , , , cord-313991-u2rkn5uh 42 8 a a DT cord-313991-u2rkn5uh 42 9 person person NN cord-313991-u2rkn5uh 42 10 from from IN cord-313991-u2rkn5uh 42 11 the the DT cord-313991-u2rkn5uh 42 12 sensitive sensitive JJ cord-313991-u2rkn5uh 42 13 group group NN cord-313991-u2rkn5uh 42 14 can can MD cord-313991-u2rkn5uh 42 15 not not RB cord-313991-u2rkn5uh 42 16 spread spread VB cord-313991-u2rkn5uh 42 17 the the DT cord-313991-u2rkn5uh 42 18 infection infection NN cord-313991-u2rkn5uh 42 19 . . . cord-313991-u2rkn5uh 43 1 Therefore therefore RB cord-313991-u2rkn5uh 43 2 , , , cord-313991-u2rkn5uh 43 3 such such PDT cord-313991-u2rkn5uh 43 4 a a DT cord-313991-u2rkn5uh 43 5 restoration restoration NN cord-313991-u2rkn5uh 43 6 does do VBZ cord-313991-u2rkn5uh 43 7 not not RB cord-313991-u2rkn5uh 43 8 affect affect VB cord-313991-u2rkn5uh 43 9 the the DT cord-313991-u2rkn5uh 43 10 dynamics dynamic NNS cord-313991-u2rkn5uh 43 11 of of IN cord-313991-u2rkn5uh 43 12 the the DT cord-313991-u2rkn5uh 43 13 two two CD cord-313991-u2rkn5uh 43 14 - - HYPH cord-313991-u2rkn5uh 43 15 component component NN cord-313991-u2rkn5uh 43 16 model model NN cord-313991-u2rkn5uh 43 17 . . . cord-313991-u2rkn5uh 44 1 In in IN cord-313991-u2rkn5uh 44 2 contrast contrast NN cord-313991-u2rkn5uh 44 3 , , , cord-313991-u2rkn5uh 44 4 recovery recovery NN cord-313991-u2rkn5uh 44 5 processes process NNS cord-313991-u2rkn5uh 44 6 in in IN cord-313991-u2rkn5uh 44 7 asymptomatic asymptomatic JJ cord-313991-u2rkn5uh 44 8 infected infected JJ cord-313991-u2rkn5uh 44 9 individuals individual NNS cord-313991-u2rkn5uh 44 10 have have VBP cord-313991-u2rkn5uh 44 11 a a DT cord-313991-u2rkn5uh 44 12 direct direct JJ cord-313991-u2rkn5uh 44 13 impact impact NN cord-313991-u2rkn5uh 44 14 on on IN cord-313991-u2rkn5uh 44 15 the the DT cord-313991-u2rkn5uh 44 16 spread spread NN cord-313991-u2rkn5uh 44 17 of of IN cord-313991-u2rkn5uh 44 18 the the DT cord-313991-u2rkn5uh 44 19 virus virus NN cord-313991-u2rkn5uh 44 20 . . . cord-313991-u2rkn5uh 45 1 We -PRON- PRP cord-313991-u2rkn5uh 45 2 will will MD cord-313991-u2rkn5uh 45 3 assume assume VB cord-313991-u2rkn5uh 45 4 that that IN cord-313991-u2rkn5uh 45 5 asymptomatic asymptomatic JJ cord-313991-u2rkn5uh 45 6 infected infect VBN cord-313991-u2rkn5uh 45 7 are be VBP cord-313991-u2rkn5uh 45 8 deactivated deactivate VBN cord-313991-u2rkn5uh 45 9 with with IN cord-313991-u2rkn5uh 45 10 a a DT cord-313991-u2rkn5uh 45 11 recovery recovery NN cord-313991-u2rkn5uh 45 12 rate rate NN cord-313991-u2rkn5uh 45 13 of of IN cord-313991-u2rkn5uh 45 14 γ γ NN cord-313991-u2rkn5uh 45 15 . . . cord-313991-u2rkn5uh 46 1 However however RB cord-313991-u2rkn5uh 46 2 , , , cord-313991-u2rkn5uh 46 3 they -PRON- PRP cord-313991-u2rkn5uh 46 4 do do VBP cord-313991-u2rkn5uh 46 5 not not RB cord-313991-u2rkn5uh 46 6 acquire acquire VB cord-313991-u2rkn5uh 46 7 any any DT cord-313991-u2rkn5uh 46 8 lasting last VBG cord-313991-u2rkn5uh 46 9 immunity immunity NN cord-313991-u2rkn5uh 46 10 and and CC cord-313991-u2rkn5uh 46 11 can can MD cord-313991-u2rkn5uh 46 12 be be VB cord-313991-u2rkn5uh 46 13 re re VBN cord-313991-u2rkn5uh 46 14 - - VBN cord-313991-u2rkn5uh 46 15 infected infect VBN cord-313991-u2rkn5uh 46 16 . . . cord-313991-u2rkn5uh 47 1 This this DT cord-313991-u2rkn5uh 47 2 creates create VBZ cord-313991-u2rkn5uh 47 3 a a DT cord-313991-u2rkn5uh 47 4 circulation circulation NN cord-313991-u2rkn5uh 47 5 of of IN cord-313991-u2rkn5uh 47 6 infection infection NN cord-313991-u2rkn5uh 47 7 among among IN cord-313991-u2rkn5uh 47 8 the the DT cord-313991-u2rkn5uh 47 9 superspreaders superspreader NNS cord-313991-u2rkn5uh 47 10 , , , cord-313991-u2rkn5uh 47 11 leading lead VBG cord-313991-u2rkn5uh 47 12 to to IN cord-313991-u2rkn5uh 47 13 endemic endemic JJ cord-313991-u2rkn5uh 47 14 equilibrium equilibrium NN cord-313991-u2rkn5uh 47 15 . . . cord-313991-u2rkn5uh 48 1 Considering consider VBG cord-313991-u2rkn5uh 48 2 the the DT cord-313991-u2rkn5uh 48 3 factors factor NNS cord-313991-u2rkn5uh 48 4 of of IN cord-313991-u2rkn5uh 48 5 quarantine quarantine NN cord-313991-u2rkn5uh 48 6 Q q NN cord-313991-u2rkn5uh 48 7 and and CC cord-313991-u2rkn5uh 48 8 the the DT cord-313991-u2rkn5uh 48 9 recovery recovery NN cord-313991-u2rkn5uh 48 10 rate rate NN cord-313991-u2rkn5uh 48 11 γ γ NN cord-313991-u2rkn5uh 48 12 , , , cord-313991-u2rkn5uh 48 13 the the DT cord-313991-u2rkn5uh 48 14 equations equation NNS cord-313991-u2rkn5uh 48 15 of of IN cord-313991-u2rkn5uh 48 16 the the DT cord-313991-u2rkn5uh 48 17 two two CD cord-313991-u2rkn5uh 48 18 - - HYPH cord-313991-u2rkn5uh 48 19 component component NN cord-313991-u2rkn5uh 48 20 model model NN cord-313991-u2rkn5uh 48 21 take take VB cord-313991-u2rkn5uh 48 22 the the DT cord-313991-u2rkn5uh 48 23 form form NN cord-313991-u2rkn5uh 48 24 After after IN cord-313991-u2rkn5uh 48 25 switching switch VBG cord-313991-u2rkn5uh 48 26 to to IN cord-313991-u2rkn5uh 48 27 new new JJ cord-313991-u2rkn5uh 48 28 variables variable NNS cord-313991-u2rkn5uh 48 29 it -PRON- PRP cord-313991-u2rkn5uh 48 30 is be VBZ cord-313991-u2rkn5uh 48 31 reduced reduce VBN cord-313991-u2rkn5uh 48 32 to to IN cord-313991-u2rkn5uh 48 33 a a DT cord-313991-u2rkn5uh 48 34 simple simple JJ cord-313991-u2rkn5uh 48 35 form form NN cord-313991-u2rkn5uh 48 36 : : : cord-313991-u2rkn5uh 49 1 Here here RB cord-313991-u2rkn5uh 49 2 the the DT cord-313991-u2rkn5uh 49 3 value value NN cord-313991-u2rkn5uh 49 4 is be VBZ cord-313991-u2rkn5uh 49 5 the the DT cord-313991-u2rkn5uh 49 6 ratio ratio NN cord-313991-u2rkn5uh 49 7 of of IN cord-313991-u2rkn5uh 49 8 the the DT cord-313991-u2rkn5uh 49 9 spread spread NN cord-313991-u2rkn5uh 49 10 rates rate NNS cord-313991-u2rkn5uh 50 1 g g NNP cord-313991-u2rkn5uh 51 1 1 1 LS cord-313991-u2rkn5uh 51 2 ≡ ≡ NNP cord-313991-u2rkn5uh 51 3 αg αg XX cord-313991-u2rkn5uh 52 1 and and CC cord-313991-u2rkn5uh 52 2 g g NN cord-313991-u2rkn5uh 52 3 2 2 CD cord-313991-u2rkn5uh 53 1 ≡ ≡ NNP cord-313991-u2rkn5uh 54 1 g. g. NNP cord-313991-u2rkn5uh 55 1 In in IN cord-313991-u2rkn5uh 55 2 the the DT cord-313991-u2rkn5uh 55 3 case case NN cord-313991-u2rkn5uh 55 4 of of IN cord-313991-u2rkn5uh 55 5 a a DT cord-313991-u2rkn5uh 55 6 long long JJ cord-313991-u2rkn5uh 55 7 - - HYPH cord-313991-u2rkn5uh 55 8 time time NN cord-313991-u2rkn5uh 55 9 permanent permanent JJ cord-313991-u2rkn5uh 55 10 quarantine quarantine NN cord-313991-u2rkn5uh 55 11 , , , cord-313991-u2rkn5uh 55 12 Q q NN cord-313991-u2rkn5uh 55 13 = = NN cord-313991-u2rkn5uh 55 14 const const NN cord-313991-u2rkn5uh 55 15 , , , cord-313991-u2rkn5uh 55 16 this this DT cord-313991-u2rkn5uh 55 17 system system NN cord-313991-u2rkn5uh 55 18 of of IN cord-313991-u2rkn5uh 55 19 equations equation NNS cord-313991-u2rkn5uh 55 20 has have VBZ cord-313991-u2rkn5uh 55 21 an an DT cord-313991-u2rkn5uh 55 22 exact exact JJ cord-313991-u2rkn5uh 55 23 solution solution NN cord-313991-u2rkn5uh 55 24 where where WRB cord-313991-u2rkn5uh 55 25 τ τ NN cord-313991-u2rkn5uh 55 26 ≡ ≡ NNP cord-313991-u2rkn5uh 55 27 Qgt Qgt NNP cord-313991-u2rkn5uh 55 28 is be VBZ cord-313991-u2rkn5uh 55 29 dimensionless dimensionless JJ cord-313991-u2rkn5uh 55 30 time time NN cord-313991-u2rkn5uh 55 31 and and CC cord-313991-u2rkn5uh 55 32 -dimensionless -dimensionless NN cord-313991-u2rkn5uh 55 33 parameter parameter NN cord-313991-u2rkn5uh 55 34 of of IN cord-313991-u2rkn5uh 55 35 superspreaders superspreader NNS cord-313991-u2rkn5uh 55 36 deactivation deactivation NN cord-313991-u2rkn5uh 55 37 rate rate NN cord-313991-u2rkn5uh 55 38 . . . cord-313991-u2rkn5uh 56 1 As as IN cord-313991-u2rkn5uh 56 2 in in IN cord-313991-u2rkn5uh 56 3 the the DT cord-313991-u2rkn5uh 56 4 absence absence NN cord-313991-u2rkn5uh 56 5 of of IN cord-313991-u2rkn5uh 56 6 the the DT cord-313991-u2rkn5uh 56 7 quarantine quarantine NN cord-313991-u2rkn5uh 56 8 ( ( -LRB- cord-313991-u2rkn5uh 56 9 Q q NN cord-313991-u2rkn5uh 56 10 = = SYM cord-313991-u2rkn5uh 56 11 1 1 CD cord-313991-u2rkn5uh 56 12 ) ) -RRB- cord-313991-u2rkn5uh 57 1 we -PRON- PRP cord-313991-u2rkn5uh 57 2 have have VBP cord-313991-u2rkn5uh 57 3 an an DT cord-313991-u2rkn5uh 57 4 epidemic epidemic NN cord-313991-u2rkn5uh 57 5 occurs occur VBZ cord-313991-u2rkn5uh 57 6 , , , cord-313991-u2rkn5uh 57 7 the the DT cord-313991-u2rkn5uh 57 8 epidemic epidemic NN cord-313991-u2rkn5uh 57 9 criterion criterion NN cord-313991-u2rkn5uh 57 10 is be VBZ cord-313991-u2rkn5uh 57 11 met meet VBN cord-313991-u2rkn5uh 57 12 ( ( -LRB- cord-313991-u2rkn5uh 57 13 µ µ NN cord-313991-u2rkn5uh 57 14 < < XX cord-313991-u2rkn5uh 57 15 1 1 CD cord-313991-u2rkn5uh 57 16 ) ) -RRB- cord-313991-u2rkn5uh 57 17 . . . cord-313991-u2rkn5uh 58 1 Consequently consequently RB cord-313991-u2rkn5uh 58 2 , , , cord-313991-u2rkn5uh 58 3 the the DT cord-313991-u2rkn5uh 58 4 ratio ratio NN cord-313991-u2rkn5uh 58 5 of of IN cord-313991-u2rkn5uh 58 6 the the DT cord-313991-u2rkn5uh 58 7 recovery recovery NN cord-313991-u2rkn5uh 58 8 ( ( -LRB- cord-313991-u2rkn5uh 58 9 γ γ NN cord-313991-u2rkn5uh 58 10 ) ) -RRB- cord-313991-u2rkn5uh 58 11 and and CC cord-313991-u2rkn5uh 58 12 spread spread VB cord-313991-u2rkn5uh 58 13 ( ( -LRB- cord-313991-u2rkn5uh 58 14 g g NN cord-313991-u2rkn5uh 58 15 ) ) -RRB- cord-313991-u2rkn5uh 58 16 rates rate NNS cord-313991-u2rkn5uh 58 17 is be VBZ cord-313991-u2rkn5uh 58 18 also also RB cord-313991-u2rkn5uh 58 19 less less JJR cord-313991-u2rkn5uh 58 20 than than IN cord-313991-u2rkn5uh 58 21 one one CD cord-313991-u2rkn5uh 58 22 : : : cord-313991-u2rkn5uh 59 1 The the DT cord-313991-u2rkn5uh 59 2 found find VBN cord-313991-u2rkn5uh 59 3 solution solution NN cord-313991-u2rkn5uh 59 4 ( ( -LRB- cord-313991-u2rkn5uh 59 5 10,11 10,11 CD cord-313991-u2rkn5uh 59 6 ) ) -RRB- cord-313991-u2rkn5uh 59 7 meets meet VBZ cord-313991-u2rkn5uh 59 8 the the DT cord-313991-u2rkn5uh 59 9 initial initial JJ cord-313991-u2rkn5uh 59 10 conditions condition NNS cord-313991-u2rkn5uh 59 11 that that WDT cord-313991-u2rkn5uh 59 12 is is RB cord-313991-u2rkn5uh 59 13 , , , cord-313991-u2rkn5uh 59 14 at at IN cord-313991-u2rkn5uh 59 15 the the DT cord-313991-u2rkn5uh 59 16 beginning beginning NN cord-313991-u2rkn5uh 59 17 of of IN cord-313991-u2rkn5uh 59 18 the the DT cord-313991-u2rkn5uh 59 19 epidemic epidemic NN cord-313991-u2rkn5uh 59 20 , , , cord-313991-u2rkn5uh 59 21 there there EX cord-313991-u2rkn5uh 59 22 are be VBP cord-313991-u2rkn5uh 59 23 already already RB cord-313991-u2rkn5uh 59 24 infected infect VBN cord-313991-u2rkn5uh 59 25 people people NNS cord-313991-u2rkn5uh 59 26 , , , cord-313991-u2rkn5uh 59 27 but but CC cord-313991-u2rkn5uh 59 28 no no DT cord-313991-u2rkn5uh 59 29 sick sick JJ cord-313991-u2rkn5uh 59 30 ones one NNS cord-313991-u2rkn5uh 59 31 yet yet RB cord-313991-u2rkn5uh 59 32 . . . cord-313991-u2rkn5uh 60 1 A a DT cord-313991-u2rkn5uh 60 2 stable stable JJ cord-313991-u2rkn5uh 60 3 endemic endemic JJ cord-313991-u2rkn5uh 60 4 equilibrium equilibrium NN cord-313991-u2rkn5uh 60 5 among among IN cord-313991-u2rkn5uh 60 6 superspreaders superspreader NNS cord-313991-u2rkn5uh 60 7 is be VBZ cord-313991-u2rkn5uh 60 8 the the DT cord-313991-u2rkn5uh 60 9 state state NN cord-313991-u2rkn5uh 60 10 of of IN cord-313991-u2rkn5uh 61 1 In in IN cord-313991-u2rkn5uh 61 2 accordance accordance NN cord-313991-u2rkn5uh 61 3 with with IN cord-313991-u2rkn5uh 61 4 ( ( -LRB- cord-313991-u2rkn5uh 61 5 12,15 12,15 CD cord-313991-u2rkn5uh 61 6 ) ) -RRB- cord-313991-u2rkn5uh 61 7 , , , cord-313991-u2rkn5uh 61 8 at at IN cord-313991-u2rkn5uh 61 9 a a DT cord-313991-u2rkn5uh 61 10 sufficiently sufficiently RB cord-313991-u2rkn5uh 61 11 small small JJ cord-313991-u2rkn5uh 61 12 value value NN cord-313991-u2rkn5uh 61 13 of of IN cord-313991-u2rkn5uh 61 14 Q q NN cord-313991-u2rkn5uh 61 15 , , , cord-313991-u2rkn5uh 61 16 i.e. i.e. FW cord-313991-u2rkn5uh 61 17 with with IN cord-313991-u2rkn5uh 61 18 a a DT cord-313991-u2rkn5uh 61 19 sufficiently sufficiently RB cord-313991-u2rkn5uh 61 20 strict strict JJ cord-313991-u2rkn5uh 61 21 quarantine quarantine NN cord-313991-u2rkn5uh 61 22 leading lead VBG cord-313991-u2rkn5uh 61 23 to to IN cord-313991-u2rkn5uh 61 24 the the DT cord-313991-u2rkn5uh 61 25 case case NN cord-313991-u2rkn5uh 61 26 of of IN cord-313991-u2rkn5uh 61 27 µ µ NN cord-313991-u2rkn5uh 61 28 ≥ ≥ CD cord-313991-u2rkn5uh 61 29 1 1 CD cord-313991-u2rkn5uh 61 30 , , , cord-313991-u2rkn5uh 61 31 s s NN cord-313991-u2rkn5uh 61 32 2 2 CD cord-313991-u2rkn5uh 61 33 = = SYM cord-313991-u2rkn5uh 61 34 0 0 CD cord-313991-u2rkn5uh 62 1 -all -all : cord-313991-u2rkn5uh 62 2 superspreaders superspreaders NNPS cord-313991-u2rkn5uh 62 3 are be VBP cord-313991-u2rkn5uh 62 4 deactivated deactivate VBN cord-313991-u2rkn5uh 62 5 . . . cord-313991-u2rkn5uh 63 1 In in IN cord-313991-u2rkn5uh 63 2 the the DT cord-313991-u2rkn5uh 63 3 opposite opposite JJ cord-313991-u2rkn5uh 63 4 case case NN cord-313991-u2rkn5uh 63 5 of of IN cord-313991-u2rkn5uh 63 6 non non JJ cord-313991-u2rkn5uh 63 7 - - JJ cord-313991-u2rkn5uh 63 8 strict strict JJ cord-313991-u2rkn5uh 63 9 quarantine quarantine NN cord-313991-u2rkn5uh 63 10 , , , cord-313991-u2rkn5uh 63 11 when when WRB cord-313991-u2rkn5uh 63 12 the the DT cord-313991-u2rkn5uh 63 13 value value NN cord-313991-u2rkn5uh 63 14 of of IN cord-313991-u2rkn5uh 63 15 the the DT cord-313991-u2rkn5uh 63 16 quarantine quarantine NN cord-313991-u2rkn5uh 63 17 factor factor NN cord-313991-u2rkn5uh 63 18 Q Q NNP cord-313991-u2rkn5uh 63 19 is be VBZ cord-313991-u2rkn5uh 63 20 not not RB cord-313991-u2rkn5uh 63 21 small small JJ cord-313991-u2rkn5uh 63 22 enough enough RB cord-313991-u2rkn5uh 63 23 and and CC cord-313991-u2rkn5uh 63 24 the the DT cord-313991-u2rkn5uh 63 25 parameter parameter NN cord-313991-u2rkn5uh 63 26 µ µ NN cord-313991-u2rkn5uh 63 27 is be VBZ cord-313991-u2rkn5uh 63 28 less less JJR cord-313991-u2rkn5uh 63 29 than than IN cord-313991-u2rkn5uh 63 30 one one CD cord-313991-u2rkn5uh 64 1 ( ( -LRB- cord-313991-u2rkn5uh 64 2 µ µ NN cord-313991-u2rkn5uh 64 3 < < XX cord-313991-u2rkn5uh 64 4 1 1 CD cord-313991-u2rkn5uh 64 5 ) ) -RRB- cord-313991-u2rkn5uh 64 6 , , , cord-313991-u2rkn5uh 64 7 an an DT cord-313991-u2rkn5uh 64 8 endemic endemic JJ cord-313991-u2rkn5uh 64 9 equilibrium equilibrium NN cord-313991-u2rkn5uh 64 10 takes take VBZ cord-313991-u2rkn5uh 64 11 place place NN cord-313991-u2rkn5uh 64 12 with with IN cord-313991-u2rkn5uh 64 13 a a DT cord-313991-u2rkn5uh 64 14 certain certain JJ cord-313991-u2rkn5uh 64 15 proportion proportion NN cord-313991-u2rkn5uh 64 16 of of IN cord-313991-u2rkn5uh 64 17 active active JJ cord-313991-u2rkn5uh 64 18 infected infected JJ cord-313991-u2rkn5uh 64 19 superspreaders superspreader NNS cord-313991-u2rkn5uh 64 20 , , , cord-313991-u2rkn5uh 64 21 s s NN cord-313991-u2rkn5uh 64 22 2 2 CD cord-313991-u2rkn5uh 64 23 > > SYM cord-313991-u2rkn5uh 64 24 0 0 CD cord-313991-u2rkn5uh 64 25 . . . cord-313991-u2rkn5uh 65 1 In in IN cord-313991-u2rkn5uh 65 2 such such PDT cord-313991-u2rkn5uh 65 3 a a DT cord-313991-u2rkn5uh 65 4 solution solution NN cord-313991-u2rkn5uh 65 5 the the DT cord-313991-u2rkn5uh 65 6 proportion proportion NN cord-313991-u2rkn5uh 65 7 of of IN cord-313991-u2rkn5uh 65 8 cases case NNS cord-313991-u2rkn5uh 65 9 sensitive sensitive JJ cord-313991-u2rkn5uh 65 10 s s NNP cord-313991-u2rkn5uh 65 11 1 1 CD cord-313991-u2rkn5uh 65 12 continues continue VBZ cord-313991-u2rkn5uh 65 13 to to TO cord-313991-u2rkn5uh 65 14 grow grow VB cord-313991-u2rkn5uh 65 15 until until IN cord-313991-u2rkn5uh 65 16 it -PRON- PRP cord-313991-u2rkn5uh 65 17 reaches reach VBZ cord-313991-u2rkn5uh 65 18 the the DT cord-313991-u2rkn5uh 65 19 limit limit NN cord-313991-u2rkn5uh 65 20 value value NN cord-313991-u2rkn5uh 66 1 s s NNP cord-313991-u2rkn5uh 66 2 1 1 CD cord-313991-u2rkn5uh 66 3 = = SYM cord-313991-u2rkn5uh 66 4 1 1 CD cord-313991-u2rkn5uh 66 5 . . . cord-313991-u2rkn5uh 67 1 It -PRON- PRP cord-313991-u2rkn5uh 67 2 is be VBZ cord-313991-u2rkn5uh 67 3 this this DT cord-313991-u2rkn5uh 67 4 condition condition NN cord-313991-u2rkn5uh 67 5 that that WDT cord-313991-u2rkn5uh 67 6 corresponds correspond VBZ cord-313991-u2rkn5uh 67 7 to to IN cord-313991-u2rkn5uh 67 8 the the DT cord-313991-u2rkn5uh 67 9 end end NN cord-313991-u2rkn5uh 67 10 of of IN cord-313991-u2rkn5uh 67 11 the the DT cord-313991-u2rkn5uh 67 12 epidemic epidemic NN cord-313991-u2rkn5uh 67 13 and and CC cord-313991-u2rkn5uh 67 14 the the DT cord-313991-u2rkn5uh 67 15 vanishing vanishing NN cord-313991-u2rkn5uh 67 16 of of IN cord-313991-u2rkn5uh 67 17 the the DT cord-313991-u2rkn5uh 67 18 daily daily NNP cord-313991-u2rkn5uh 67 19 incidench incidench NNP cord-313991-u2rkn5uh 67 20 among among IN cord-313991-u2rkn5uh 67 21 superspreaders superspreader NNS cord-313991-u2rkn5uh 67 22 the the DT cord-313991-u2rkn5uh 67 23 infection infection NN cord-313991-u2rkn5uh 67 24 continues continue VBZ cord-313991-u2rkn5uh 67 25 , , , cord-313991-u2rkn5uh 67 26 as as IN cord-313991-u2rkn5uh 67 27 at at IN cord-313991-u2rkn5uh 67 28 the the DT cord-313991-u2rkn5uh 67 29 beginning beginning NN cord-313991-u2rkn5uh 67 30 of of IN cord-313991-u2rkn5uh 67 31 the the DT cord-313991-u2rkn5uh 67 32 epidemic epidemic NN cord-313991-u2rkn5uh 67 33 , , , cord-313991-u2rkn5uh 67 34 to to TO cord-313991-u2rkn5uh 67 35 circulate circulate VB cord-313991-u2rkn5uh 67 36 at at IN cord-313991-u2rkn5uh 67 37 the the DT cord-313991-u2rkn5uh 67 38 stationary stationary JJ cord-313991-u2rkn5uh 67 39 endemic endemic JJ cord-313991-u2rkn5uh 67 40 level level NN cord-313991-u2rkn5uh 67 41 . . . cord-313991-u2rkn5uh 68 1 The the DT cord-313991-u2rkn5uh 68 2 course course NN cord-313991-u2rkn5uh 68 3 of of IN cord-313991-u2rkn5uh 68 4 the the DT cord-313991-u2rkn5uh 68 5 epidemic epidemic NN cord-313991-u2rkn5uh 68 6 according accord VBG cord-313991-u2rkn5uh 68 7 to to IN cord-313991-u2rkn5uh 68 8 the the DT cord-313991-u2rkn5uh 68 9 found find VBN cord-313991-u2rkn5uh 68 10 solution solution NN cord-313991-u2rkn5uh 68 11 ( ( -LRB- cord-313991-u2rkn5uh 68 12 10 10 CD cord-313991-u2rkn5uh 68 13 , , , cord-313991-u2rkn5uh 68 14 11 11 CD cord-313991-u2rkn5uh 68 15 ) ) -RRB- cord-313991-u2rkn5uh 68 16 is be VBZ cord-313991-u2rkn5uh 68 17 shown show VBN cord-313991-u2rkn5uh 68 18 in in IN cord-313991-u2rkn5uh 68 19 Fig Fig NNP cord-313991-u2rkn5uh 68 20 . . . cord-313991-u2rkn5uh 69 1 2 2 LS cord-313991-u2rkn5uh 69 2 . . . cord-313991-u2rkn5uh 70 1 Thus thus RB cord-313991-u2rkn5uh 70 2 , , , cord-313991-u2rkn5uh 70 3 in in IN cord-313991-u2rkn5uh 70 4 the the DT cord-313991-u2rkn5uh 70 5 two two CD cord-313991-u2rkn5uh 70 6 - - HYPH cord-313991-u2rkn5uh 70 7 component component NN cord-313991-u2rkn5uh 70 8 model model NN cord-313991-u2rkn5uh 70 9 , , , cord-313991-u2rkn5uh 70 10 the the DT cord-313991-u2rkn5uh 70 11 quarantine quarantine NN cord-313991-u2rkn5uh 70 12 factor factor NN cord-313991-u2rkn5uh 70 13 does do VBZ cord-313991-u2rkn5uh 70 14 not not RB cord-313991-u2rkn5uh 70 15 affect affect VB cord-313991-u2rkn5uh 70 16 the the DT cord-313991-u2rkn5uh 70 17 reproductive reproductive JJ cord-313991-u2rkn5uh 70 18 number number NN cord-313991-u2rkn5uh 70 19 , , , cord-313991-u2rkn5uh 70 20 which which WDT cord-313991-u2rkn5uh 70 21 determines determine VBZ cord-313991-u2rkn5uh 70 22 the the DT cord-313991-u2rkn5uh 70 23 exponential exponential JJ cord-313991-u2rkn5uh 70 24 growth growth NN cord-313991-u2rkn5uh 70 25 rate rate NN cord-313991-u2rkn5uh 70 26 of of IN cord-313991-u2rkn5uh 70 27 the the DT cord-313991-u2rkn5uh 70 28 incidence incidence NN cord-313991-u2rkn5uh 70 29 , , , cord-313991-u2rkn5uh 70 30 but but CC cord-313991-u2rkn5uh 70 31 rather rather RB cord-313991-u2rkn5uh 70 32 the the DT cord-313991-u2rkn5uh 70 33 endemic endemic JJ cord-313991-u2rkn5uh 70 34 equilibrium equilibrium NN cord-313991-u2rkn5uh 70 35 number number NN cord-313991-u2rkn5uh 70 36 of of IN cord-313991-u2rkn5uh 70 37 asymptomatic asymptomatic JJ cord-313991-u2rkn5uh 70 38 superspreaders superspreader NNS cord-313991-u2rkn5uh 70 39 . . . cord-313991-u2rkn5uh 71 1 The the DT cord-313991-u2rkn5uh 71 2 daily daily JJ cord-313991-u2rkn5uh 71 3 incidence incidence NN cord-313991-u2rkn5uh 71 4 is be VBZ cord-313991-u2rkn5uh 71 5 directly directly RB cord-313991-u2rkn5uh 71 6 proportional proportional JJ cord-313991-u2rkn5uh 71 7 to to IN cord-313991-u2rkn5uh 71 8 this this DT cord-313991-u2rkn5uh 71 9 number number NN cord-313991-u2rkn5uh 71 10 . . . cord-313991-u2rkn5uh 72 1 In in IN cord-313991-u2rkn5uh 72 2 addition addition NN cord-313991-u2rkn5uh 72 3 , , , cord-313991-u2rkn5uh 72 4 it -PRON- PRP cord-313991-u2rkn5uh 72 5 is be VBZ cord-313991-u2rkn5uh 72 6 proportional proportional JJ cord-313991-u2rkn5uh 72 7 to to TO cord-313991-u2rkn5uh 72 8 remix remix VB cord-313991-u2rkn5uh 72 9 , , , cord-313991-u2rkn5uh 72 10 or or CC cord-313991-u2rkn5uh 72 11 adapt adapt VB cord-313991-u2rkn5uh 72 12 this this DT cord-313991-u2rkn5uh 72 13 material material NN cord-313991-u2rkn5uh 72 14 for for IN cord-313991-u2rkn5uh 72 15 any any DT cord-313991-u2rkn5uh 72 16 purpose purpose NN cord-313991-u2rkn5uh 72 17 without without IN cord-313991-u2rkn5uh 72 18 crediting credit VBG cord-313991-u2rkn5uh 72 19 the the DT cord-313991-u2rkn5uh 72 20 original original JJ cord-313991-u2rkn5uh 72 21 authors author NNS cord-313991-u2rkn5uh 72 22 . . . cord-313991-u2rkn5uh 73 1 preprint preprint NN cord-313991-u2rkn5uh 73 2 ( ( -LRB- cord-313991-u2rkn5uh 73 3 which which WDT cord-313991-u2rkn5uh 73 4 was be VBD cord-313991-u2rkn5uh 73 5 not not RB cord-313991-u2rkn5uh 73 6 certified certify VBN cord-313991-u2rkn5uh 73 7 by by IN cord-313991-u2rkn5uh 73 8 peer peer NN cord-313991-u2rkn5uh 73 9 review review NN cord-313991-u2rkn5uh 73 10 ) ) -RRB- cord-313991-u2rkn5uh 73 11 in in IN cord-313991-u2rkn5uh 73 12 the the DT cord-313991-u2rkn5uh 73 13 Public Public NNP cord-313991-u2rkn5uh 73 14 Domain Domain NNP cord-313991-u2rkn5uh 73 15 . . . cord-313991-u2rkn5uh 74 1 It -PRON- PRP cord-313991-u2rkn5uh 74 2 is be VBZ cord-313991-u2rkn5uh 74 3 no no RB cord-313991-u2rkn5uh 74 4 longer long RBR cord-313991-u2rkn5uh 74 5 restricted restrict VBN cord-313991-u2rkn5uh 74 6 by by IN cord-313991-u2rkn5uh 74 7 copyright copyright NN cord-313991-u2rkn5uh 74 8 . . . cord-313991-u2rkn5uh 75 1 Anyone anyone NN cord-313991-u2rkn5uh 75 2 can can MD cord-313991-u2rkn5uh 75 3 legally legally RB cord-313991-u2rkn5uh 75 4 share share VB cord-313991-u2rkn5uh 75 5 , , , cord-313991-u2rkn5uh 75 6 reuse reuse VB cord-313991-u2rkn5uh 75 7 , , , cord-313991-u2rkn5uh 75 8 The the DT cord-313991-u2rkn5uh 75 9 copyright copyright NN cord-313991-u2rkn5uh 75 10 holder holder NN cord-313991-u2rkn5uh 75 11 has have VBZ cord-313991-u2rkn5uh 75 12 placed place VBN cord-313991-u2rkn5uh 75 13 this this DT cord-313991-u2rkn5uh 75 14 this this DT cord-313991-u2rkn5uh 75 15 version version NN cord-313991-u2rkn5uh 75 16 posted post VBD cord-313991-u2rkn5uh 75 17 August August NNP cord-313991-u2rkn5uh 75 18 16 16 CD cord-313991-u2rkn5uh 75 19 , , , cord-313991-u2rkn5uh 75 20 2020 2020 CD cord-313991-u2rkn5uh 75 21 . . . cord-313991-u2rkn5uh 75 22 . . . cord-313991-u2rkn5uh 76 1 https://doi.org/10.1101/2020.08.14.20174557 https://doi.org/10.1101/2020.08.14.20174557 NNP cord-313991-u2rkn5uh 76 2 doi doi NN cord-313991-u2rkn5uh 76 3 : : : cord-313991-u2rkn5uh 77 1 medRxiv medRxiv NNP cord-313991-u2rkn5uh 77 2 preprint preprint NNP cord-313991-u2rkn5uh 77 3 Fig Fig NNP cord-313991-u2rkn5uh 77 4 . . . cord-313991-u2rkn5uh 78 1 2 2 LS cord-313991-u2rkn5uh 78 2 : : : cord-313991-u2rkn5uh 78 3 Course course NN cord-313991-u2rkn5uh 78 4 of of IN cord-313991-u2rkn5uh 78 5 an an DT cord-313991-u2rkn5uh 78 6 epidemic epidemic NN cord-313991-u2rkn5uh 78 7 within within IN cord-313991-u2rkn5uh 78 8 the the DT cord-313991-u2rkn5uh 78 9 two two CD cord-313991-u2rkn5uh 78 10 - - HYPH cord-313991-u2rkn5uh 78 11 component component NN cord-313991-u2rkn5uh 78 12 model model NN cord-313991-u2rkn5uh 78 13 . . . cord-313991-u2rkn5uh 79 1 Filled fill VBN cord-313991-u2rkn5uh 79 2 areas area NNS cord-313991-u2rkn5uh 79 3 show show VBP cord-313991-u2rkn5uh 79 4 share share NN cord-313991-u2rkn5uh 79 5 of of IN cord-313991-u2rkn5uh 79 6 infected infected JJ cord-313991-u2rkn5uh 79 7 sensitive sensitive JJ cord-313991-u2rkn5uh 79 8 s s NN cord-313991-u2rkn5uh 79 9 1 1 CD cord-313991-u2rkn5uh 79 10 ( ( -LRB- cord-313991-u2rkn5uh 79 11 t t NN cord-313991-u2rkn5uh 79 12 ) ) -RRB- cord-313991-u2rkn5uh 79 13 ( ( -LRB- cord-313991-u2rkn5uh 79 14 orange orange NNP cord-313991-u2rkn5uh 79 15 ) ) -RRB- cord-313991-u2rkn5uh 79 16 and and CC cord-313991-u2rkn5uh 79 17 superspreaders superspreaders NNP cord-313991-u2rkn5uh 79 18 s s POS cord-313991-u2rkn5uh 79 19 2 2 CD cord-313991-u2rkn5uh 79 20 ( ( -LRB- cord-313991-u2rkn5uh 79 21 t t NN cord-313991-u2rkn5uh 79 22 ) ) -RRB- cord-313991-u2rkn5uh 79 23 ( ( -LRB- cord-313991-u2rkn5uh 79 24 blue blue NNP cord-313991-u2rkn5uh 79 25 ) ) -RRB- cord-313991-u2rkn5uh 79 26 . . . cord-313991-u2rkn5uh 80 1 When when WRB cord-313991-u2rkn5uh 80 2 t t NNP cord-313991-u2rkn5uh 80 3 → → SYM cord-313991-u2rkn5uh 80 4 ∞ ∞ NNP cord-313991-u2rkn5uh 80 5 , , , cord-313991-u2rkn5uh 80 6 the the DT cord-313991-u2rkn5uh 80 7 share share NN cord-313991-u2rkn5uh 80 8 of of IN cord-313991-u2rkn5uh 80 9 infected infected JJ cord-313991-u2rkn5uh 80 10 sensitive sensitive JJ cord-313991-u2rkn5uh 80 11 s s NN cord-313991-u2rkn5uh 80 12 1 1 CD cord-313991-u2rkn5uh 80 13 ( ( -LRB- cord-313991-u2rkn5uh 80 14 t t NN cord-313991-u2rkn5uh 80 15 ) ) -RRB- cord-313991-u2rkn5uh 80 16 tends tend VBZ cord-313991-u2rkn5uh 80 17 to to IN cord-313991-u2rkn5uh 80 18 1 1 CD cord-313991-u2rkn5uh 80 19 , , , cord-313991-u2rkn5uh 80 20 the the DT cord-313991-u2rkn5uh 80 21 share share NN cord-313991-u2rkn5uh 80 22 of of IN cord-313991-u2rkn5uh 80 23 infected infected JJ cord-313991-u2rkn5uh 80 24 superspreaders superspreader NNS cord-313991-u2rkn5uh 80 25 s s POS cord-313991-u2rkn5uh 80 26 2 2 CD cord-313991-u2rkn5uh 80 27 ( ( -LRB- cord-313991-u2rkn5uh 80 28 t t NN cord-313991-u2rkn5uh 80 29 ) ) -RRB- cord-313991-u2rkn5uh 80 30 tends tend VBZ cord-313991-u2rkn5uh 80 31 to to IN cord-313991-u2rkn5uh 80 32 the the DT cord-313991-u2rkn5uh 80 33 endemic endemic JJ cord-313991-u2rkn5uh 80 34 equilibrium equilibrium NN cord-313991-u2rkn5uh 80 35 value value NN cord-313991-u2rkn5uh 80 36 of of IN cord-313991-u2rkn5uh 80 37 ( ( -LRB- cord-313991-u2rkn5uh 80 38 1 1 CD cord-313991-u2rkn5uh 80 39 − − CD cord-313991-u2rkn5uh 80 40 µ µ NN cord-313991-u2rkn5uh 80 41 ) ) -RRB- cord-313991-u2rkn5uh 80 42 . . . cord-313991-u2rkn5uh 81 1 the the DT cord-313991-u2rkn5uh 81 2 proportion proportion NN cord-313991-u2rkn5uh 81 3 of of IN cord-313991-u2rkn5uh 81 4 those those DT cord-313991-u2rkn5uh 81 5 who who WP cord-313991-u2rkn5uh 81 6 do do VBP cord-313991-u2rkn5uh 81 7 not not RB cord-313991-u2rkn5uh 81 8 recover recover VB cord-313991-u2rkn5uh 81 9 among among IN cord-313991-u2rkn5uh 81 10 sensitive sensitive JJ cord-313991-u2rkn5uh 81 11 , , , cord-313991-u2rkn5uh 81 12 which which WDT cord-313991-u2rkn5uh 81 13 decreases decrease VBZ cord-313991-u2rkn5uh 81 14 during during IN cord-313991-u2rkn5uh 81 15 the the DT cord-313991-u2rkn5uh 81 16 epidemic epidemic NN cord-313991-u2rkn5uh 81 17 . . . cord-313991-u2rkn5uh 82 1 The the DT cord-313991-u2rkn5uh 82 2 end end NN cord-313991-u2rkn5uh 82 3 of of IN cord-313991-u2rkn5uh 82 4 the the DT cord-313991-u2rkn5uh 82 5 epidemic epidemic NN cord-313991-u2rkn5uh 82 6 in in IN cord-313991-u2rkn5uh 82 7 this this DT cord-313991-u2rkn5uh 82 8 model model NN cord-313991-u2rkn5uh 82 9 does do VBZ cord-313991-u2rkn5uh 82 10 not not RB cord-313991-u2rkn5uh 82 11 correspond correspond VB cord-313991-u2rkn5uh 82 12 to to IN cord-313991-u2rkn5uh 82 13 the the DT cord-313991-u2rkn5uh 82 14 disappearance disappearance NN cord-313991-u2rkn5uh 82 15 of of IN cord-313991-u2rkn5uh 82 16 infected infected JJ cord-313991-u2rkn5uh 82 17 superspreaders superspreader NNS cord-313991-u2rkn5uh 82 18 , , , cord-313991-u2rkn5uh 82 19 but but CC cord-313991-u2rkn5uh 82 20 to to IN cord-313991-u2rkn5uh 82 21 the the DT cord-313991-u2rkn5uh 82 22 exhaustion exhaustion NN cord-313991-u2rkn5uh 82 23 of of IN cord-313991-u2rkn5uh 82 24 the the DT cord-313991-u2rkn5uh 82 25 number number NN cord-313991-u2rkn5uh 82 26 of of IN cord-313991-u2rkn5uh 82 27 still still RB cord-313991-u2rkn5uh 82 28 not not RB cord-313991-u2rkn5uh 82 29 infected infect VBN cord-313991-u2rkn5uh 82 30 sensitive sensitive JJ cord-313991-u2rkn5uh 82 31 individuals individual NNS cord-313991-u2rkn5uh 82 32 , , , cord-313991-u2rkn5uh 82 33 which which WDT cord-313991-u2rkn5uh 82 34 constitute constitute VBP cord-313991-u2rkn5uh 82 35 only only RB cord-313991-u2rkn5uh 82 36 a a DT cord-313991-u2rkn5uh 82 37 relatively relatively RB cord-313991-u2rkn5uh 82 38 small small JJ cord-313991-u2rkn5uh 82 39 part part NN cord-313991-u2rkn5uh 82 40 of of IN cord-313991-u2rkn5uh 82 41 the the DT cord-313991-u2rkn5uh 82 42 total total JJ cord-313991-u2rkn5uh 82 43 population population NN cord-313991-u2rkn5uh 82 44 . . . cord-313991-u2rkn5uh 83 1 The the DT cord-313991-u2rkn5uh 83 2 whole whole JJ cord-313991-u2rkn5uh 83 3 course course NN cord-313991-u2rkn5uh 83 4 of of IN cord-313991-u2rkn5uh 83 5 the the DT cord-313991-u2rkn5uh 83 6 epidemic epidemic NN cord-313991-u2rkn5uh 83 7 in in IN cord-313991-u2rkn5uh 83 8 the the DT cord-313991-u2rkn5uh 83 9 two two CD cord-313991-u2rkn5uh 83 10 - - HYPH cord-313991-u2rkn5uh 83 11 component component NN cord-313991-u2rkn5uh 83 12 model model NN cord-313991-u2rkn5uh 83 13 is be VBZ cord-313991-u2rkn5uh 83 14 shown show VBN cord-313991-u2rkn5uh 83 15 in in IN cord-313991-u2rkn5uh 83 16 Fig.2 Fig.2 NNP cord-313991-u2rkn5uh 83 17 . . . cord-313991-u2rkn5uh 84 1 In in IN cord-313991-u2rkn5uh 84 2 the the DT cord-313991-u2rkn5uh 84 3 general general JJ cord-313991-u2rkn5uh 84 4 case case NN cord-313991-u2rkn5uh 84 5 , , , cord-313991-u2rkn5uh 84 6 the the DT cord-313991-u2rkn5uh 84 7 value value NN cord-313991-u2rkn5uh 84 8 of of IN cord-313991-u2rkn5uh 84 9 the the DT cord-313991-u2rkn5uh 84 10 quarantine quarantine NN cord-313991-u2rkn5uh 84 11 factor factor NN cord-313991-u2rkn5uh 84 12 Q Q NNP cord-313991-u2rkn5uh 84 13 is be VBZ cord-313991-u2rkn5uh 84 14 some some DT cord-313991-u2rkn5uh 84 15 function function NN cord-313991-u2rkn5uh 84 16 of of IN cord-313991-u2rkn5uh 84 17 time time NN cord-313991-u2rkn5uh 84 18 Q(t Q(t NNP cord-313991-u2rkn5uh 84 19 ) ) -RRB- cord-313991-u2rkn5uh 84 20 , , , cord-313991-u2rkn5uh 84 21 determined determine VBN cord-313991-u2rkn5uh 84 22 by by IN cord-313991-u2rkn5uh 84 23 the the DT cord-313991-u2rkn5uh 84 24 sequence sequence NN cord-313991-u2rkn5uh 84 25 and and CC cord-313991-u2rkn5uh 84 26 severity severity NN cord-313991-u2rkn5uh 84 27 of of IN cord-313991-u2rkn5uh 84 28 quarantine quarantine NN cord-313991-u2rkn5uh 84 29 measures measure NNS cord-313991-u2rkn5uh 84 30 . . . cord-313991-u2rkn5uh 85 1 A a DT cord-313991-u2rkn5uh 85 2 typical typical JJ cord-313991-u2rkn5uh 85 3 course course NN cord-313991-u2rkn5uh 85 4 of of IN cord-313991-u2rkn5uh 85 5 the the DT cord-313991-u2rkn5uh 85 6 function function NN cord-313991-u2rkn5uh 85 7 Q(t Q(t NNP cord-313991-u2rkn5uh 85 8 ) ) -RRB- cord-313991-u2rkn5uh 85 9 is be VBZ cord-313991-u2rkn5uh 85 10 shown show VBN cord-313991-u2rkn5uh 85 11 in in IN cord-313991-u2rkn5uh 85 12 Fig Fig NNP cord-313991-u2rkn5uh 85 13 . . . cord-313991-u2rkn5uh 86 1 3 3 LS cord-313991-u2rkn5uh 86 2 . . . cord-313991-u2rkn5uh 87 1 Natural natural JJ cord-313991-u2rkn5uh 87 2 boundary boundary JJ cord-313991-u2rkn5uh 87 3 conditions condition NNS cord-313991-u2rkn5uh 87 4 for for IN cord-313991-u2rkn5uh 87 5 it -PRON- PRP cord-313991-u2rkn5uh 87 6 are be VBP cord-313991-u2rkn5uh 87 7 At at IN cord-313991-u2rkn5uh 87 8 the the DT cord-313991-u2rkn5uh 87 9 beginning beginning NN cord-313991-u2rkn5uh 87 10 of of IN cord-313991-u2rkn5uh 87 11 the the DT cord-313991-u2rkn5uh 87 12 epidemic epidemic NN cord-313991-u2rkn5uh 87 13 , , , cord-313991-u2rkn5uh 87 14 there there EX cord-313991-u2rkn5uh 87 15 is be VBZ cord-313991-u2rkn5uh 87 16 no no DT cord-313991-u2rkn5uh 87 17 quarantine quarantine NN cord-313991-u2rkn5uh 87 18 and and CC cord-313991-u2rkn5uh 87 19 the the DT cord-313991-u2rkn5uh 87 20 quarantine quarantine NN cord-313991-u2rkn5uh 87 21 factor factor NN cord-313991-u2rkn5uh 87 22 is be VBZ cord-313991-u2rkn5uh 87 23 close close JJ cord-313991-u2rkn5uh 87 24 to to IN cord-313991-u2rkn5uh 87 25 one one CD cord-313991-u2rkn5uh 87 26 , , , cord-313991-u2rkn5uh 87 27 which which WDT cord-313991-u2rkn5uh 87 28 corresponds correspond VBZ cord-313991-u2rkn5uh 87 29 to to IN cord-313991-u2rkn5uh 87 30 the the DT cord-313991-u2rkn5uh 87 31 boundary boundary JJ cord-313991-u2rkn5uh 87 32 condition condition NN cord-313991-u2rkn5uh 87 33 Q(0 Q(0 NNP cord-313991-u2rkn5uh 87 34 ) ) -RRB- cord-313991-u2rkn5uh 88 1 = = NFP cord-313991-u2rkn5uh 89 1 1 1 LS cord-313991-u2rkn5uh 89 2 . . . cord-313991-u2rkn5uh 90 1 As as IN cord-313991-u2rkn5uh 90 2 the the DT cord-313991-u2rkn5uh 90 3 epidemic epidemic NN cord-313991-u2rkn5uh 90 4 develops develop VBZ cord-313991-u2rkn5uh 90 5 , , , cord-313991-u2rkn5uh 90 6 quarantine quarantine NN cord-313991-u2rkn5uh 90 7 measures measure NNS cord-313991-u2rkn5uh 90 8 are be VBP cord-313991-u2rkn5uh 90 9 taken take VBN cord-313991-u2rkn5uh 90 10 , , , cord-313991-u2rkn5uh 90 11 which which WDT cord-313991-u2rkn5uh 90 12 are be VBP cord-313991-u2rkn5uh 90 13 responsible responsible JJ cord-313991-u2rkn5uh 90 14 for for IN cord-313991-u2rkn5uh 90 15 reducing reduce VBG cord-313991-u2rkn5uh 90 16 the the DT cord-313991-u2rkn5uh 90 17 value value NN cord-313991-u2rkn5uh 90 18 of of IN cord-313991-u2rkn5uh 90 19 the the DT cord-313991-u2rkn5uh 90 20 Q Q NNP cord-313991-u2rkn5uh 90 21 factor factor NN cord-313991-u2rkn5uh 90 22 . . . cord-313991-u2rkn5uh 91 1 As as IN cord-313991-u2rkn5uh 91 2 the the DT cord-313991-u2rkn5uh 91 3 incidence incidence NN cord-313991-u2rkn5uh 91 4 decreases decrease VBZ cord-313991-u2rkn5uh 91 5 , , , cord-313991-u2rkn5uh 91 6 the the DT cord-313991-u2rkn5uh 91 7 quarantine quarantine NN cord-313991-u2rkn5uh 91 8 measures measure NNS cord-313991-u2rkn5uh 91 9 are be VBP cord-313991-u2rkn5uh 91 10 removed remove VBN cord-313991-u2rkn5uh 91 11 , , , cord-313991-u2rkn5uh 91 12 and and CC cord-313991-u2rkn5uh 91 13 the the DT cord-313991-u2rkn5uh 91 14 quarantine quarantine NN cord-313991-u2rkn5uh 91 15 factor factor NN cord-313991-u2rkn5uh 91 16 returns return VBZ cord-313991-u2rkn5uh 91 17 to to IN cord-313991-u2rkn5uh 91 18 the the DT cord-313991-u2rkn5uh 91 19 initial initial JJ cord-313991-u2rkn5uh 91 20 value value NN cord-313991-u2rkn5uh 91 21 . . . cord-313991-u2rkn5uh 92 1 This this DT cord-313991-u2rkn5uh 92 2 corresponds correspond VBZ cord-313991-u2rkn5uh 92 3 to to IN cord-313991-u2rkn5uh 92 4 the the DT cord-313991-u2rkn5uh 92 5 second second JJ cord-313991-u2rkn5uh 92 6 boundary boundary JJ cord-313991-u2rkn5uh 92 7 condition condition NN cord-313991-u2rkn5uh 92 8 Q(∞ Q(∞ NNP cord-313991-u2rkn5uh 92 9 ) ) -RRB- cord-313991-u2rkn5uh 92 10 = = NFP cord-313991-u2rkn5uh 93 1 1 1 LS cord-313991-u2rkn5uh 93 2 . . . cord-313991-u2rkn5uh 94 1 For for IN cord-313991-u2rkn5uh 94 2 an an DT cord-313991-u2rkn5uh 94 3 arbitrary arbitrary JJ cord-313991-u2rkn5uh 94 4 dependence dependence NN cord-313991-u2rkn5uh 94 5 Q(t Q(t NNP cord-313991-u2rkn5uh 94 6 ) ) -RRB- cord-313991-u2rkn5uh 94 7 , , , cord-313991-u2rkn5uh 94 8 the the DT cord-313991-u2rkn5uh 94 9 dynamic dynamic JJ cord-313991-u2rkn5uh 94 10 equations equation NNS cord-313991-u2rkn5uh 94 11 ( ( -LRB- cord-313991-u2rkn5uh 94 12 7,8 7,8 CD cord-313991-u2rkn5uh 94 13 ) ) -RRB- cord-313991-u2rkn5uh 94 14 have have VBP cord-313991-u2rkn5uh 94 15 no no DT cord-313991-u2rkn5uh 94 16 exact exact JJ cord-313991-u2rkn5uh 94 17 solution solution NN cord-313991-u2rkn5uh 94 18 . . . cord-313991-u2rkn5uh 95 1 However however RB cord-313991-u2rkn5uh 95 2 , , , cord-313991-u2rkn5uh 95 3 taking take VBG cord-313991-u2rkn5uh 95 4 into into IN cord-313991-u2rkn5uh 95 5 account account NN cord-313991-u2rkn5uh 95 6 the the DT cord-313991-u2rkn5uh 95 7 boundary boundary JJ cord-313991-u2rkn5uh 95 8 conditions condition NNS cord-313991-u2rkn5uh 95 9 ( ( -LRB- cord-313991-u2rkn5uh 95 10 16 16 CD cord-313991-u2rkn5uh 95 11 ) ) -RRB- cord-313991-u2rkn5uh 95 12 , , , cord-313991-u2rkn5uh 95 13 it -PRON- PRP cord-313991-u2rkn5uh 95 14 turns turn VBZ cord-313991-u2rkn5uh 95 15 out out RP cord-313991-u2rkn5uh 95 16 to to TO cord-313991-u2rkn5uh 95 17 be be VB cord-313991-u2rkn5uh 95 18 possible possible JJ cord-313991-u2rkn5uh 95 19 to to TO cord-313991-u2rkn5uh 95 20 carry carry VB cord-313991-u2rkn5uh 95 21 out out RP cord-313991-u2rkn5uh 95 22 a a DT cord-313991-u2rkn5uh 95 23 qualitative qualitative JJ cord-313991-u2rkn5uh 95 24 analysis analysis NN cord-313991-u2rkn5uh 95 25 of of IN cord-313991-u2rkn5uh 95 26 the the DT cord-313991-u2rkn5uh 95 27 course course NN cord-313991-u2rkn5uh 95 28 of of IN cord-313991-u2rkn5uh 95 29 the the DT cord-313991-u2rkn5uh 95 30 epidemic epidemic NN cord-313991-u2rkn5uh 95 31 corresponding correspond VBG cord-313991-u2rkn5uh 95 32 to to IN cord-313991-u2rkn5uh 95 33 the the DT cord-313991-u2rkn5uh 95 34 real real JJ cord-313991-u2rkn5uh 95 35 dependence dependence NN cord-313991-u2rkn5uh 95 36 Q(t Q(t NNP cord-313991-u2rkn5uh 95 37 ) ) -RRB- cord-313991-u2rkn5uh 95 38 . . . cord-313991-u2rkn5uh 96 1 In in IN cord-313991-u2rkn5uh 96 2 this this DT cord-313991-u2rkn5uh 96 3 analysis analysis NN cord-313991-u2rkn5uh 96 4 , , , cord-313991-u2rkn5uh 96 5 it -PRON- PRP cord-313991-u2rkn5uh 96 6 is be VBZ cord-313991-u2rkn5uh 96 7 convenient convenient JJ cord-313991-u2rkn5uh 96 8 to to TO cord-313991-u2rkn5uh 96 9 divide divide VB cord-313991-u2rkn5uh 96 10 the the DT cord-313991-u2rkn5uh 96 11 entire entire JJ cord-313991-u2rkn5uh 96 12 course course NN cord-313991-u2rkn5uh 96 13 of of IN cord-313991-u2rkn5uh 96 14 the the DT cord-313991-u2rkn5uh 96 15 epidemic epidemic NN cord-313991-u2rkn5uh 96 16 into into IN cord-313991-u2rkn5uh 96 17 4 4 CD cord-313991-u2rkn5uh 96 18 phases phase NNS cord-313991-u2rkn5uh 96 19 . . . cord-313991-u2rkn5uh 97 1 A a LS cord-313991-u2rkn5uh 97 2 ) ) -RRB- cord-313991-u2rkn5uh 98 1 The the DT cord-313991-u2rkn5uh 98 2 epidemic epidemic NN cord-313991-u2rkn5uh 98 3 phase phase NN cord-313991-u2rkn5uh 98 4 itself -PRON- PRP cord-313991-u2rkn5uh 98 5 . . . cord-313991-u2rkn5uh 99 1 At at IN cord-313991-u2rkn5uh 99 2 the the DT cord-313991-u2rkn5uh 99 3 beginning beginning NN cord-313991-u2rkn5uh 99 4 of of IN cord-313991-u2rkn5uh 99 5 the the DT cord-313991-u2rkn5uh 99 6 epidemic epidemic NN cord-313991-u2rkn5uh 99 7 , , , cord-313991-u2rkn5uh 99 8 there there EX cord-313991-u2rkn5uh 99 9 is be VBZ cord-313991-u2rkn5uh 99 10 no no DT cord-313991-u2rkn5uh 99 11 quarantine quarantine NN cord-313991-u2rkn5uh 99 12 , , , cord-313991-u2rkn5uh 99 13 Q q NN cord-313991-u2rkn5uh 99 14 = = SYM cord-313991-u2rkn5uh 99 15 1 1 CD cord-313991-u2rkn5uh 99 16 . . . cord-313991-u2rkn5uh 100 1 At at IN cord-313991-u2rkn5uh 100 2 the the DT cord-313991-u2rkn5uh 100 3 same same JJ cord-313991-u2rkn5uh 100 4 time time NN cord-313991-u2rkn5uh 100 5 , , , cord-313991-u2rkn5uh 100 6 the the DT cord-313991-u2rkn5uh 100 7 number number NN cord-313991-u2rkn5uh 100 8 of of IN cord-313991-u2rkn5uh 100 9 the the DT cord-313991-u2rkn5uh 100 10 superspreaders superspreader NNS cord-313991-u2rkn5uh 100 11 is be VBZ cord-313991-u2rkn5uh 100 12 growing grow VBG cord-313991-u2rkn5uh 100 13 exponentially exponentially RB cord-313991-u2rkn5uh 100 14 , , , cord-313991-u2rkn5uh 100 15 s s VBZ cord-313991-u2rkn5uh 100 16 2 2 CD cord-313991-u2rkn5uh 100 17 ∝ ∝ NNP cord-313991-u2rkn5uh 100 18 e e NN cord-313991-u2rkn5uh 100 19 ( ( -LRB- cord-313991-u2rkn5uh 100 20 g−γ)t g−γ)t NNP cord-313991-u2rkn5uh 100 21 . . . cord-313991-u2rkn5uh 101 1 The the DT cord-313991-u2rkn5uh 101 2 daily daily JJ cord-313991-u2rkn5uh 101 3 incidence incidence NN cord-313991-u2rkn5uh 101 4 among among IN cord-313991-u2rkn5uh 101 5 sensitives sensitive NNS cord-313991-u2rkn5uh 101 6 is be VBZ cord-313991-u2rkn5uh 101 7 directly directly RB cord-313991-u2rkn5uh 101 8 proportional proportional JJ cord-313991-u2rkn5uh 101 9 to to IN cord-313991-u2rkn5uh 101 10 the the DT cord-313991-u2rkn5uh 101 11 number number NN cord-313991-u2rkn5uh 101 12 of of IN cord-313991-u2rkn5uh 101 13 superspreaders superspreader NNS cord-313991-u2rkn5uh 101 14 ds ds NNP cord-313991-u2rkn5uh 101 15 1 1 CD cord-313991-u2rkn5uh 101 16 /dt /dt . cord-313991-u2rkn5uh 101 17 ∝ ∝ NNP cord-313991-u2rkn5uh 101 18 s s NNP cord-313991-u2rkn5uh 101 19 2 2 CD cord-313991-u2rkn5uh 101 20 and and CC cord-313991-u2rkn5uh 101 21 therefore therefore RB cord-313991-u2rkn5uh 101 22 also also RB cord-313991-u2rkn5uh 101 23 grows grow VBZ cord-313991-u2rkn5uh 101 24 exponentially exponentially RB cord-313991-u2rkn5uh 101 25 . . . cord-313991-u2rkn5uh 102 1 B b NN cord-313991-u2rkn5uh 102 2 ) ) -RRB- cord-313991-u2rkn5uh 103 1 Quarantine quarantine NN cord-313991-u2rkn5uh 103 2 start start NN cord-313991-u2rkn5uh 103 3 phase phase NN cord-313991-u2rkn5uh 103 4 . . . cord-313991-u2rkn5uh 104 1 In in IN cord-313991-u2rkn5uh 104 2 this this DT cord-313991-u2rkn5uh 104 3 phase phase NN cord-313991-u2rkn5uh 104 4 , , , cord-313991-u2rkn5uh 104 5 the the DT cord-313991-u2rkn5uh 104 6 spread spread NN cord-313991-u2rkn5uh 104 7 rates rate NNS cord-313991-u2rkn5uh 104 8 are be VBP cord-313991-u2rkn5uh 104 9 suppressed suppress VBN cord-313991-u2rkn5uh 104 10 by by IN cord-313991-u2rkn5uh 104 11 quarantine quarantine NN cord-313991-u2rkn5uh 104 12 measures measure NNS cord-313991-u2rkn5uh 104 13 with with IN cord-313991-u2rkn5uh 104 14 a a DT cord-313991-u2rkn5uh 104 15 factor factor NN cord-313991-u2rkn5uh 104 16 of of IN cord-313991-u2rkn5uh 104 17 Q Q NNP cord-313991-u2rkn5uh 104 18 < < XX cord-313991-u2rkn5uh 104 19 1 1 CD cord-313991-u2rkn5uh 104 20 , , , cord-313991-u2rkn5uh 104 21 the the DT cord-313991-u2rkn5uh 104 22 relative relative JJ cord-313991-u2rkn5uh 104 23 number number NN cord-313991-u2rkn5uh 104 24 of of IN cord-313991-u2rkn5uh 104 25 the the DT cord-313991-u2rkn5uh 104 26 superspreaders superspreader NNS cord-313991-u2rkn5uh 104 27 reaches reach VBZ cord-313991-u2rkn5uh 104 28 the the DT cord-313991-u2rkn5uh 104 29 endemic endemic JJ cord-313991-u2rkn5uh 104 30 equilibrium equilibrium NN cord-313991-u2rkn5uh 104 31 value value NN cord-313991-u2rkn5uh 104 32 s s NN cord-313991-u2rkn5uh 104 33 2 2 CD cord-313991-u2rkn5uh 104 34 = = SYM cord-313991-u2rkn5uh 104 35 1 1 CD cord-313991-u2rkn5uh 104 36 − − NN cord-313991-u2rkn5uh 104 37 γ/(Qg γ/(Qg NNP cord-313991-u2rkn5uh 104 38 ) ) -RRB- cord-313991-u2rkn5uh 104 39 and and CC cord-313991-u2rkn5uh 104 40 stops stop VBZ cord-313991-u2rkn5uh 104 41 growing grow VBG cord-313991-u2rkn5uh 104 42 . . . cord-313991-u2rkn5uh 105 1 Therefore therefore RB cord-313991-u2rkn5uh 105 2 , , , cord-313991-u2rkn5uh 105 3 the the DT cord-313991-u2rkn5uh 105 4 daily daily JJ cord-313991-u2rkn5uh 105 5 incidence incidence NN cord-313991-u2rkn5uh 105 6 ds ds NNP cord-313991-u2rkn5uh 105 7 1 1 CD cord-313991-u2rkn5uh 105 8 /dt /dt NNP cord-313991-u2rkn5uh 105 9 , , , cord-313991-u2rkn5uh 105 10 which which WDT cord-313991-u2rkn5uh 105 11 is be VBZ cord-313991-u2rkn5uh 105 12 directly directly RB cord-313991-u2rkn5uh 105 13 proportional proportional JJ cord-313991-u2rkn5uh 105 14 to to IN cord-313991-u2rkn5uh 105 15 the the DT cord-313991-u2rkn5uh 105 16 number number NN cord-313991-u2rkn5uh 105 17 of of IN cord-313991-u2rkn5uh 105 18 superspreaders superspreader NNS cord-313991-u2rkn5uh 105 19 , , , cord-313991-u2rkn5uh 105 20 also also RB cord-313991-u2rkn5uh 105 21 stops stop VBZ cord-313991-u2rkn5uh 105 22 growing grow VBG cord-313991-u2rkn5uh 105 23 . . . cord-313991-u2rkn5uh 106 1 In in IN cord-313991-u2rkn5uh 106 2 this this DT cord-313991-u2rkn5uh 106 3 phase phase NN cord-313991-u2rkn5uh 106 4 , , , cord-313991-u2rkn5uh 106 5 the the DT cord-313991-u2rkn5uh 106 6 daily daily JJ cord-313991-u2rkn5uh 106 7 incidence incidence NN cord-313991-u2rkn5uh 106 8 reaches reach VBZ cord-313991-u2rkn5uh 106 9 its -PRON- PRP$ cord-313991-u2rkn5uh 106 10 maximum maximum NN cord-313991-u2rkn5uh 106 11 . . . cord-313991-u2rkn5uh 107 1 C C NNP cord-313991-u2rkn5uh 107 2 ) ) -RRB- cord-313991-u2rkn5uh 108 1 Endemic endemic JJ cord-313991-u2rkn5uh 108 2 phase phase NN cord-313991-u2rkn5uh 108 3 . . . cord-313991-u2rkn5uh 109 1 In in IN cord-313991-u2rkn5uh 109 2 conditions condition NNS cord-313991-u2rkn5uh 109 3 of of IN cord-313991-u2rkn5uh 109 4 constant constant JJ cord-313991-u2rkn5uh 109 5 quarantine quarantine NN cord-313991-u2rkn5uh 109 6 and and CC cord-313991-u2rkn5uh 109 7 , , , cord-313991-u2rkn5uh 109 8 accordingly accordingly RB cord-313991-u2rkn5uh 109 9 , , , cord-313991-u2rkn5uh 109 10 an an DT cord-313991-u2rkn5uh 109 11 endemic endemic JJ cord-313991-u2rkn5uh 109 12 constant constant JJ cord-313991-u2rkn5uh 109 13 number number NN cord-313991-u2rkn5uh 109 14 of of IN cord-313991-u2rkn5uh 109 15 the the DT cord-313991-u2rkn5uh 109 16 superspreaders superspreader NNS cord-313991-u2rkn5uh 109 17 , , , cord-313991-u2rkn5uh 109 18 the the DT cord-313991-u2rkn5uh 109 19 daily daily JJ cord-313991-u2rkn5uh 109 20 incidence incidence NN cord-313991-u2rkn5uh 109 21 is be VBZ cord-313991-u2rkn5uh 109 22 gradually gradually RB cord-313991-u2rkn5uh 109 23 decreasing decrease VBG cord-313991-u2rkn5uh 109 24 due due IN cord-313991-u2rkn5uh 109 25 to to IN cord-313991-u2rkn5uh 109 26 a a DT cord-313991-u2rkn5uh 109 27 decrease decrease NN cord-313991-u2rkn5uh 109 28 in in IN cord-313991-u2rkn5uh 109 29 the the DT cord-313991-u2rkn5uh 109 30 proportion proportion NN cord-313991-u2rkn5uh 109 31 of of IN cord-313991-u2rkn5uh 109 32 those those DT cord-313991-u2rkn5uh 109 33 who who WP cord-313991-u2rkn5uh 109 34 have have VBP cord-313991-u2rkn5uh 109 35 not not RB cord-313991-u2rkn5uh 109 36 been be VBN cord-313991-u2rkn5uh 109 37 cured cure VBN cord-313991-u2rkn5uh 109 38 among among IN cord-313991-u2rkn5uh 109 39 sensitive sensitive JJ cord-313991-u2rkn5uh 109 40 , , , cord-313991-u2rkn5uh 109 41 ( ( -LRB- cord-313991-u2rkn5uh 109 42 1 1 CD cord-313991-u2rkn5uh 109 43 − − NN cord-313991-u2rkn5uh 109 44 s s POS cord-313991-u2rkn5uh 109 45 1 1 CD cord-313991-u2rkn5uh 109 46 ) ) -RRB- cord-313991-u2rkn5uh 109 47 . . . cord-313991-u2rkn5uh 110 1 Ideally ideally RB cord-313991-u2rkn5uh 110 2 , , , cord-313991-u2rkn5uh 110 3 by by IN cord-313991-u2rkn5uh 110 4 the the DT cord-313991-u2rkn5uh 110 5 end end NN cord-313991-u2rkn5uh 110 6 of of IN cord-313991-u2rkn5uh 110 7 this this DT cord-313991-u2rkn5uh 110 8 phase phase NN cord-313991-u2rkn5uh 110 9 , , , cord-313991-u2rkn5uh 110 10 this this DT cord-313991-u2rkn5uh 110 11 proportion proportion NN cord-313991-u2rkn5uh 110 12 is be VBZ cord-313991-u2rkn5uh 110 13 already already RB cord-313991-u2rkn5uh 110 14 small small JJ cord-313991-u2rkn5uh 110 15 , , , cord-313991-u2rkn5uh 110 16 1 1 CD cord-313991-u2rkn5uh 110 17 − − NN cord-313991-u2rkn5uh 110 18 s s POS cord-313991-u2rkn5uh 110 19 1 1 CD cord-313991-u2rkn5uh 110 20 1 1 CD cord-313991-u2rkn5uh 110 21 . . . cord-313991-u2rkn5uh 111 1 D D NNP cord-313991-u2rkn5uh 111 2 ) ) -RRB- cord-313991-u2rkn5uh 111 3 Quarantine Quarantine NNP cord-313991-u2rkn5uh 111 4 release release NN cord-313991-u2rkn5uh 111 5 phase phase NN cord-313991-u2rkn5uh 111 6 . . . cord-313991-u2rkn5uh 112 1 After after IN cord-313991-u2rkn5uh 112 2 the the DT cord-313991-u2rkn5uh 112 3 quarantine quarantine NN cord-313991-u2rkn5uh 112 4 is be VBZ cord-313991-u2rkn5uh 112 5 released release VBN cord-313991-u2rkn5uh 112 6 , , , cord-313991-u2rkn5uh 112 7 the the DT cord-313991-u2rkn5uh 112 8 equilibrium equilibrium NN cord-313991-u2rkn5uh 112 9 number number NN cord-313991-u2rkn5uh 112 10 of of IN cord-313991-u2rkn5uh 112 11 the the DT cord-313991-u2rkn5uh 112 12 superspreaders superspreader NNS cord-313991-u2rkn5uh 112 13 increases increase VBZ cord-313991-u2rkn5uh 112 14 from from IN cord-313991-u2rkn5uh 112 15 the the DT cord-313991-u2rkn5uh 112 16 value value NN cord-313991-u2rkn5uh 112 17 s s NN cord-313991-u2rkn5uh 112 18 2 2 CD cord-313991-u2rkn5uh 112 19 = = SYM cord-313991-u2rkn5uh 112 20 1−γ/(Qg 1−γ/(qg CD cord-313991-u2rkn5uh 112 21 ) ) -RRB- cord-313991-u2rkn5uh 112 22 established establish VBN cord-313991-u2rkn5uh 112 23 after after IN cord-313991-u2rkn5uh 112 24 the the DT cord-313991-u2rkn5uh 112 25 quarantine quarantine NN cord-313991-u2rkn5uh 112 26 is be VBZ cord-313991-u2rkn5uh 112 27 turned turn VBN cord-313991-u2rkn5uh 112 28 on on RP cord-313991-u2rkn5uh 112 29 to to IN cord-313991-u2rkn5uh 112 30 the the DT cord-313991-u2rkn5uh 112 31 maximum maximum JJ cord-313991-u2rkn5uh 112 32 possible possible JJ cord-313991-u2rkn5uh 112 33 value value NN cord-313991-u2rkn5uh 112 34 s s NN cord-313991-u2rkn5uh 112 35 2 2 CD cord-313991-u2rkn5uh 112 36 = = SYM cord-313991-u2rkn5uh 112 37 1 1 CD cord-313991-u2rkn5uh 112 38 − − NN cord-313991-u2rkn5uh 112 39 γ γ NN cord-313991-u2rkn5uh 112 40 / / SYM cord-313991-u2rkn5uh 112 41 g g NN cord-313991-u2rkn5uh 112 42 . . . cord-313991-u2rkn5uh 113 1 Thus thus RB cord-313991-u2rkn5uh 113 2 , , , cord-313991-u2rkn5uh 113 3 even even RB cord-313991-u2rkn5uh 113 4 if if IN cord-313991-u2rkn5uh 113 5 the the DT cord-313991-u2rkn5uh 113 6 endemic endemic JJ cord-313991-u2rkn5uh 113 7 equilibrium equilibrium NN cord-313991-u2rkn5uh 113 8 number number NN cord-313991-u2rkn5uh 113 9 of of IN cord-313991-u2rkn5uh 113 10 the the DT cord-313991-u2rkn5uh 113 11 superspreaders superspreader NNS cord-313991-u2rkn5uh 113 12 was be VBD cord-313991-u2rkn5uh 113 13 significantly significantly RB cord-313991-u2rkn5uh 113 14 reduced reduce VBN cord-313991-u2rkn5uh 113 15 during during IN cord-313991-u2rkn5uh 113 16 quarantine quarantine NN cord-313991-u2rkn5uh 113 17 , , , cord-313991-u2rkn5uh 113 18 after after IN cord-313991-u2rkn5uh 113 19 the the DT cord-313991-u2rkn5uh 113 20 quarantine quarantine NN cord-313991-u2rkn5uh 113 21 was be VBD cord-313991-u2rkn5uh 113 22 lifted lift VBN cord-313991-u2rkn5uh 113 23 at at IN cord-313991-u2rkn5uh 113 24 the the DT cord-313991-u2rkn5uh 113 25 end end NN cord-313991-u2rkn5uh 113 26 of of IN cord-313991-u2rkn5uh 113 27 the the DT cord-313991-u2rkn5uh 113 28 epidemic epidemic NN cord-313991-u2rkn5uh 113 29 , , , cord-313991-u2rkn5uh 113 30 it -PRON- PRP cord-313991-u2rkn5uh 113 31 again again RB cord-313991-u2rkn5uh 113 32 increases increase VBZ cord-313991-u2rkn5uh 113 33 to to IN cord-313991-u2rkn5uh 113 34 its -PRON- PRP$ cord-313991-u2rkn5uh 113 35 maximum maximum JJ cord-313991-u2rkn5uh 113 36 value value NN cord-313991-u2rkn5uh 113 37 . . . cord-313991-u2rkn5uh 114 1 If if IN cord-313991-u2rkn5uh 114 2 the the DT cord-313991-u2rkn5uh 114 3 proportion proportion NN cord-313991-u2rkn5uh 114 4 of of IN cord-313991-u2rkn5uh 114 5 those those DT cord-313991-u2rkn5uh 114 6 who who WP cord-313991-u2rkn5uh 114 7 did do VBD cord-313991-u2rkn5uh 114 8 not not RB cord-313991-u2rkn5uh 114 9 recover recover VB cord-313991-u2rkn5uh 114 10 among among IN cord-313991-u2rkn5uh 114 11 the the DT cord-313991-u2rkn5uh 114 12 sensitive sensitive JJ cord-313991-u2rkn5uh 114 13 by by IN cord-313991-u2rkn5uh 114 14 the the DT cord-313991-u2rkn5uh 114 15 time time NN cord-313991-u2rkn5uh 114 16 the the DT cord-313991-u2rkn5uh 114 17 quarantine quarantine NN cord-313991-u2rkn5uh 114 18 was be VBD cord-313991-u2rkn5uh 114 19 lifted lift VBN cord-313991-u2rkn5uh 114 20 is be VBZ cord-313991-u2rkn5uh 114 21 already already RB cord-313991-u2rkn5uh 114 22 small small JJ cord-313991-u2rkn5uh 114 23 , , , cord-313991-u2rkn5uh 114 24 1 1 CD cord-313991-u2rkn5uh 114 25 − − NN cord-313991-u2rkn5uh 114 26 s s POS cord-313991-u2rkn5uh 114 27 1 1 CD cord-313991-u2rkn5uh 114 28 1 1 CD cord-313991-u2rkn5uh 114 29 , , , cord-313991-u2rkn5uh 114 30 then then RB cord-313991-u2rkn5uh 114 31 this this DT cord-313991-u2rkn5uh 114 32 does do VBZ cord-313991-u2rkn5uh 114 33 not not RB cord-313991-u2rkn5uh 114 34 lead lead VB cord-313991-u2rkn5uh 114 35 to to IN cord-313991-u2rkn5uh 114 36 a a DT cord-313991-u2rkn5uh 114 37 noticeable noticeable JJ cord-313991-u2rkn5uh 114 38 increase increase NN cord-313991-u2rkn5uh 114 39 in in IN cord-313991-u2rkn5uh 114 40 the the DT cord-313991-u2rkn5uh 114 41 daily daily JJ cord-313991-u2rkn5uh 114 42 incidence incidence NN cord-313991-u2rkn5uh 114 43 at at IN cord-313991-u2rkn5uh 114 44 the the DT cord-313991-u2rkn5uh 114 45 end end NN cord-313991-u2rkn5uh 114 46 of of IN cord-313991-u2rkn5uh 114 47 the the DT cord-313991-u2rkn5uh 114 48 epidemic epidemic NN cord-313991-u2rkn5uh 114 49 . . . cord-313991-u2rkn5uh 115 1 If if IN cord-313991-u2rkn5uh 115 2 this this DT cord-313991-u2rkn5uh 115 3 share share NN cord-313991-u2rkn5uh 115 4 has have VBZ cord-313991-u2rkn5uh 115 5 not not RB cord-313991-u2rkn5uh 115 6 yet yet RB cord-313991-u2rkn5uh 115 7 managed manage VBN cord-313991-u2rkn5uh 115 8 to to TO cord-313991-u2rkn5uh 115 9 become become VB cord-313991-u2rkn5uh 115 10 sufficiently sufficiently RB cord-313991-u2rkn5uh 115 11 small small JJ cord-313991-u2rkn5uh 115 12 , , , cord-313991-u2rkn5uh 115 13 i.e. i.e. FW cord-313991-u2rkn5uh 115 14 a a DT cord-313991-u2rkn5uh 115 15 significant significant JJ cord-313991-u2rkn5uh 115 16 part part NN cord-313991-u2rkn5uh 115 17 of of IN cord-313991-u2rkn5uh 115 18 the the DT cord-313991-u2rkn5uh 115 19 sensitive sensitive JJ cord-313991-u2rkn5uh 115 20 , , , cord-313991-u2rkn5uh 115 21 then then RB cord-313991-u2rkn5uh 115 22 the the DT cord-313991-u2rkn5uh 115 23 release release NN cord-313991-u2rkn5uh 115 24 of of IN cord-313991-u2rkn5uh 115 25 quarantine quarantine NN cord-313991-u2rkn5uh 115 26 leads lead VBZ cord-313991-u2rkn5uh 115 27 to to IN cord-313991-u2rkn5uh 115 28 a a DT cord-313991-u2rkn5uh 115 29 noticeable noticeable JJ cord-313991-u2rkn5uh 115 30 increase increase NN cord-313991-u2rkn5uh 115 31 in in IN cord-313991-u2rkn5uh 115 32 the the DT cord-313991-u2rkn5uh 115 33 daily daily JJ cord-313991-u2rkn5uh 115 34 incidence incidence NN cord-313991-u2rkn5uh 115 35 , , , cord-313991-u2rkn5uh 115 36 i.e. i.e. FW cord-313991-u2rkn5uh 115 37 to to IN cord-313991-u2rkn5uh 115 38 the the DT cord-313991-u2rkn5uh 115 39 second second JJ cord-313991-u2rkn5uh 115 40 wave wave NN cord-313991-u2rkn5uh 115 41 . . . cord-313991-u2rkn5uh 116 1 To to TO cord-313991-u2rkn5uh 116 2 illustrate illustrate VB cord-313991-u2rkn5uh 116 3 the the DT cord-313991-u2rkn5uh 116 4 possibility possibility NN cord-313991-u2rkn5uh 116 5 of of IN cord-313991-u2rkn5uh 116 6 the the DT cord-313991-u2rkn5uh 116 7 emergence emergence NN cord-313991-u2rkn5uh 116 8 of of IN cord-313991-u2rkn5uh 116 9 the the DT cord-313991-u2rkn5uh 116 10 second second JJ cord-313991-u2rkn5uh 116 11 wave wave NN cord-313991-u2rkn5uh 116 12 , , , cord-313991-u2rkn5uh 116 13 let let VB cord-313991-u2rkn5uh 116 14 us -PRON- PRP cord-313991-u2rkn5uh 116 15 consider consider VB cord-313991-u2rkn5uh 116 16 the the DT cord-313991-u2rkn5uh 116 17 course course NN cord-313991-u2rkn5uh 116 18 of of IN cord-313991-u2rkn5uh 116 19 the the DT cord-313991-u2rkn5uh 116 20 epidemic epidemic NN cord-313991-u2rkn5uh 116 21 at at IN cord-313991-u2rkn5uh 116 22 remix remix NN cord-313991-u2rkn5uh 116 23 , , , cord-313991-u2rkn5uh 116 24 or or CC cord-313991-u2rkn5uh 116 25 adapt adapt VB cord-313991-u2rkn5uh 116 26 this this DT cord-313991-u2rkn5uh 116 27 material material NN cord-313991-u2rkn5uh 116 28 for for IN cord-313991-u2rkn5uh 116 29 any any DT cord-313991-u2rkn5uh 116 30 purpose purpose NN cord-313991-u2rkn5uh 116 31 without without IN cord-313991-u2rkn5uh 116 32 crediting credit VBG cord-313991-u2rkn5uh 116 33 the the DT cord-313991-u2rkn5uh 116 34 original original JJ cord-313991-u2rkn5uh 116 35 authors author NNS cord-313991-u2rkn5uh 116 36 . . . cord-313991-u2rkn5uh 117 1 preprint preprint NN cord-313991-u2rkn5uh 117 2 ( ( -LRB- cord-313991-u2rkn5uh 117 3 which which WDT cord-313991-u2rkn5uh 117 4 was be VBD cord-313991-u2rkn5uh 117 5 not not RB cord-313991-u2rkn5uh 117 6 certified certify VBN cord-313991-u2rkn5uh 117 7 by by IN cord-313991-u2rkn5uh 117 8 peer peer NN cord-313991-u2rkn5uh 117 9 review review NN cord-313991-u2rkn5uh 117 10 ) ) -RRB- cord-313991-u2rkn5uh 117 11 in in IN cord-313991-u2rkn5uh 117 12 the the DT cord-313991-u2rkn5uh 117 13 Public Public NNP cord-313991-u2rkn5uh 117 14 Domain Domain NNP cord-313991-u2rkn5uh 117 15 . . . cord-313991-u2rkn5uh 118 1 It -PRON- PRP cord-313991-u2rkn5uh 118 2 is be VBZ cord-313991-u2rkn5uh 118 3 no no RB cord-313991-u2rkn5uh 118 4 longer long RBR cord-313991-u2rkn5uh 118 5 restricted restrict VBN cord-313991-u2rkn5uh 118 6 by by IN cord-313991-u2rkn5uh 118 7 copyright copyright NN cord-313991-u2rkn5uh 118 8 . . . cord-313991-u2rkn5uh 119 1 Anyone anyone NN cord-313991-u2rkn5uh 119 2 can can MD cord-313991-u2rkn5uh 119 3 legally legally RB cord-313991-u2rkn5uh 119 4 share share VB cord-313991-u2rkn5uh 119 5 , , , cord-313991-u2rkn5uh 119 6 reuse reuse VB cord-313991-u2rkn5uh 119 7 , , , cord-313991-u2rkn5uh 119 8 The the DT cord-313991-u2rkn5uh 119 9 copyright copyright NN cord-313991-u2rkn5uh 119 10 holder holder NN cord-313991-u2rkn5uh 119 11 has have VBZ cord-313991-u2rkn5uh 119 12 placed place VBN cord-313991-u2rkn5uh 119 13 this this DT cord-313991-u2rkn5uh 119 14 this this DT cord-313991-u2rkn5uh 119 15 version version NN cord-313991-u2rkn5uh 119 16 posted post VBD cord-313991-u2rkn5uh 119 17 August August NNP cord-313991-u2rkn5uh 119 18 16 16 CD cord-313991-u2rkn5uh 119 19 , , , cord-313991-u2rkn5uh 119 20 2020 2020 CD cord-313991-u2rkn5uh 119 21 . . . cord-313991-u2rkn5uh 119 22 . . . cord-313991-u2rkn5uh 120 1 https://doi.org/10.1101/2020.08.14.20174557 https://doi.org/10.1101/2020.08.14.20174557 NNP cord-313991-u2rkn5uh 120 2 doi doi NN cord-313991-u2rkn5uh 120 3 : : : cord-313991-u2rkn5uh 121 1 medRxiv medRxiv NNP cord-313991-u2rkn5uh 121 2 preprint preprint NN cord-313991-u2rkn5uh 121 3 different different JJ cord-313991-u2rkn5uh 121 4 values value NNS cord-313991-u2rkn5uh 121 5 of of IN cord-313991-u2rkn5uh 121 6 the the DT cord-313991-u2rkn5uh 121 7 quarantine quarantine NN cord-313991-u2rkn5uh 121 8 factor factor NN cord-313991-u2rkn5uh 121 9 Q Q NNP cord-313991-u2rkn5uh 121 10 , , , cord-313991-u2rkn5uh 121 11 shown show VBN cord-313991-u2rkn5uh 121 12 in in IN cord-313991-u2rkn5uh 121 13 Fig Fig NNP cord-313991-u2rkn5uh 121 14 . . . cord-313991-u2rkn5uh 121 15 _SP cord-313991-u2rkn5uh 122 1 4 4 LS cord-313991-u2rkn5uh 122 2 . . . cord-313991-u2rkn5uh 123 1 Factor factor NN cord-313991-u2rkn5uh 123 2 Q Q NNP cord-313991-u2rkn5uh 123 3 controls control VBZ cord-313991-u2rkn5uh 123 4 the the DT cord-313991-u2rkn5uh 123 5 endemic endemic JJ cord-313991-u2rkn5uh 123 6 equilibrium equilibrium NN cord-313991-u2rkn5uh 123 7 number number NN cord-313991-u2rkn5uh 123 8 of of IN cord-313991-u2rkn5uh 123 9 the the DT cord-313991-u2rkn5uh 123 10 superspreaders superspreader NNS cord-313991-u2rkn5uh 123 11 during during IN cord-313991-u2rkn5uh 123 12 quarantine quarantine NN cord-313991-u2rkn5uh 123 13 . . . cord-313991-u2rkn5uh 124 1 At at IN cord-313991-u2rkn5uh 124 2 Q q NN cord-313991-u2rkn5uh 124 3 = = SYM cord-313991-u2rkn5uh 124 4 1 1 CD cord-313991-u2rkn5uh 124 5 ( ( -LRB- cord-313991-u2rkn5uh 124 6 absence absence NN cord-313991-u2rkn5uh 124 7 of of IN cord-313991-u2rkn5uh 124 8 the the DT cord-313991-u2rkn5uh 124 9 quarantine quarantine NN cord-313991-u2rkn5uh 124 10 ) ) -RRB- cord-313991-u2rkn5uh 124 11 , , , cord-313991-u2rkn5uh 124 12 Q q NN cord-313991-u2rkn5uh 124 13 = = SYM cord-313991-u2rkn5uh 124 14 0.45 0.45 CD cord-313991-u2rkn5uh 124 15 and and CC cord-313991-u2rkn5uh 124 16 Q q NN cord-313991-u2rkn5uh 124 17 = = SYM cord-313991-u2rkn5uh 124 18 0.30 0.30 CD cord-313991-u2rkn5uh 124 19 ( ( -LRB- cord-313991-u2rkn5uh 124 20 soft soft JJ cord-313991-u2rkn5uh 124 21 or or CC cord-313991-u2rkn5uh 124 22 moderately moderately RB cord-313991-u2rkn5uh 124 23 strict strict JJ cord-313991-u2rkn5uh 124 24 quarantine quarantine NN cord-313991-u2rkn5uh 124 25 ) ) -RRB- cord-313991-u2rkn5uh 124 26 , , , cord-313991-u2rkn5uh 124 27 the the DT cord-313991-u2rkn5uh 124 28 equilibrium equilibrium NN cord-313991-u2rkn5uh 124 29 endemic endemic JJ cord-313991-u2rkn5uh 124 30 number number NN cord-313991-u2rkn5uh 124 31 of of IN cord-313991-u2rkn5uh 124 32 the the DT cord-313991-u2rkn5uh 124 33 superspreaders superspreader NNS cord-313991-u2rkn5uh 124 34 differs differ VBZ cord-313991-u2rkn5uh 124 35 from from IN cord-313991-u2rkn5uh 124 36 zero zero CD cord-313991-u2rkn5uh 124 37 . . . cord-313991-u2rkn5uh 125 1 In in IN cord-313991-u2rkn5uh 125 2 these these DT cord-313991-u2rkn5uh 125 3 three three CD cord-313991-u2rkn5uh 125 4 cases case NNS cord-313991-u2rkn5uh 125 5 , , , cord-313991-u2rkn5uh 125 6 superspreaders superspreader NNS cord-313991-u2rkn5uh 125 7 continue continue VBP cord-313991-u2rkn5uh 125 8 to to TO cord-313991-u2rkn5uh 125 9 spread spread VB cord-313991-u2rkn5uh 125 10 the the DT cord-313991-u2rkn5uh 125 11 infection infection NN cord-313991-u2rkn5uh 125 12 during during IN cord-313991-u2rkn5uh 125 13 quarantine quarantine NN cord-313991-u2rkn5uh 125 14 , , , cord-313991-u2rkn5uh 125 15 and and CC cord-313991-u2rkn5uh 125 16 the the DT cord-313991-u2rkn5uh 125 17 incidence incidence NN cord-313991-u2rkn5uh 125 18 decreases decrease VBZ cord-313991-u2rkn5uh 125 19 relatively relatively RB cord-313991-u2rkn5uh 125 20 slowly slowly RB cord-313991-u2rkn5uh 125 21 due due IN cord-313991-u2rkn5uh 125 22 to to IN cord-313991-u2rkn5uh 125 23 a a DT cord-313991-u2rkn5uh 125 24 decrease decrease NN cord-313991-u2rkn5uh 125 25 in in IN cord-313991-u2rkn5uh 125 26 the the DT cord-313991-u2rkn5uh 125 27 number number NN cord-313991-u2rkn5uh 125 28 of of IN cord-313991-u2rkn5uh 125 29 sensitive sensitive JJ cord-313991-u2rkn5uh 125 30 who who WP cord-313991-u2rkn5uh 125 31 have have VBP cord-313991-u2rkn5uh 125 32 not not RB cord-313991-u2rkn5uh 125 33 been be VBN cord-313991-u2rkn5uh 125 34 ill ill JJ cord-313991-u2rkn5uh 125 35 . . . cord-313991-u2rkn5uh 126 1 As as IN cord-313991-u2rkn5uh 126 2 can can MD cord-313991-u2rkn5uh 126 3 be be VB cord-313991-u2rkn5uh 126 4 seen see VBN cord-313991-u2rkn5uh 126 5 from from IN cord-313991-u2rkn5uh 126 6 the the DT cord-313991-u2rkn5uh 126 7 first first JJ cord-313991-u2rkn5uh 126 8 three three CD cord-313991-u2rkn5uh 126 9 graphs graph NNS cord-313991-u2rkn5uh 126 10 , , , cord-313991-u2rkn5uh 126 11 here here RB cord-313991-u2rkn5uh 126 12 the the DT cord-313991-u2rkn5uh 126 13 release release NN cord-313991-u2rkn5uh 126 14 of of IN cord-313991-u2rkn5uh 126 15 quarantine quarantine NN cord-313991-u2rkn5uh 126 16 after after IN cord-313991-u2rkn5uh 126 17 a a DT cord-313991-u2rkn5uh 126 18 significant significant JJ cord-313991-u2rkn5uh 126 19 decrease decrease NN cord-313991-u2rkn5uh 126 20 in in IN cord-313991-u2rkn5uh 126 21 the the DT cord-313991-u2rkn5uh 126 22 incidence incidence NN cord-313991-u2rkn5uh 126 23 does do VBZ cord-313991-u2rkn5uh 126 24 not not RB cord-313991-u2rkn5uh 126 25 lead lead VB cord-313991-u2rkn5uh 126 26 to to IN cord-313991-u2rkn5uh 126 27 the the DT cord-313991-u2rkn5uh 126 28 appearance appearance NN cord-313991-u2rkn5uh 126 29 of of IN cord-313991-u2rkn5uh 126 30 a a DT cord-313991-u2rkn5uh 126 31 noticeable noticeable JJ cord-313991-u2rkn5uh 126 32 second second JJ cord-313991-u2rkn5uh 126 33 wave wave NN cord-313991-u2rkn5uh 126 34 , , , cord-313991-u2rkn5uh 126 35 since since IN cord-313991-u2rkn5uh 126 36 by by IN cord-313991-u2rkn5uh 126 37 this this DT cord-313991-u2rkn5uh 126 38 moment moment NN cord-313991-u2rkn5uh 126 39 the the DT cord-313991-u2rkn5uh 126 40 vast vast JJ cord-313991-u2rkn5uh 126 41 majority majority NN cord-313991-u2rkn5uh 126 42 of of IN cord-313991-u2rkn5uh 126 43 the the DT cord-313991-u2rkn5uh 126 44 sensitive sensitive JJ cord-313991-u2rkn5uh 126 45 have have VBP cord-313991-u2rkn5uh 126 46 already already RB cord-313991-u2rkn5uh 126 47 been be VBN cord-313991-u2rkn5uh 126 48 ill ill JJ cord-313991-u2rkn5uh 126 49 . . . cord-313991-u2rkn5uh 127 1 If if IN cord-313991-u2rkn5uh 127 2 Q q NN cord-313991-u2rkn5uh 127 3 = = NN cord-313991-u2rkn5uh 127 4 0.15 0.15 CD cord-313991-u2rkn5uh 127 5 ( ( -LRB- cord-313991-u2rkn5uh 127 6 very very RB cord-313991-u2rkn5uh 127 7 strict strict JJ cord-313991-u2rkn5uh 127 8 quarantine quarantine NN cord-313991-u2rkn5uh 127 9 ) ) -RRB- cord-313991-u2rkn5uh 127 10 , , , cord-313991-u2rkn5uh 127 11 as as IN cord-313991-u2rkn5uh 127 12 shown show VBN cord-313991-u2rkn5uh 127 13 in in IN cord-313991-u2rkn5uh 127 14 the the DT cord-313991-u2rkn5uh 127 15 fourth fourth JJ cord-313991-u2rkn5uh 127 16 graph graph NN cord-313991-u2rkn5uh 127 17 , , , cord-313991-u2rkn5uh 127 18 then then RB cord-313991-u2rkn5uh 127 19 the the DT cord-313991-u2rkn5uh 127 20 endemic endemic JJ cord-313991-u2rkn5uh 127 21 equilibrium equilibrium NN cord-313991-u2rkn5uh 127 22 number number NN cord-313991-u2rkn5uh 127 23 of of IN cord-313991-u2rkn5uh 127 24 superspreaders superspreader NNS cord-313991-u2rkn5uh 127 25 during during IN cord-313991-u2rkn5uh 127 26 quarantine quarantine NN cord-313991-u2rkn5uh 127 27 becomes become VBZ cord-313991-u2rkn5uh 127 28 zero zero CD cord-313991-u2rkn5uh 127 29 . . . cord-313991-u2rkn5uh 128 1 On on IN cord-313991-u2rkn5uh 128 2 the the DT cord-313991-u2rkn5uh 128 3 one one CD cord-313991-u2rkn5uh 128 4 hand hand NN cord-313991-u2rkn5uh 128 5 , , , cord-313991-u2rkn5uh 128 6 this this DT cord-313991-u2rkn5uh 128 7 leads lead VBZ cord-313991-u2rkn5uh 128 8 to to IN cord-313991-u2rkn5uh 128 9 a a DT cord-313991-u2rkn5uh 128 10 rapid rapid JJ cord-313991-u2rkn5uh 128 11 zero zero CD cord-313991-u2rkn5uh 128 12 morbidity morbidity NN cord-313991-u2rkn5uh 128 13 during during IN cord-313991-u2rkn5uh 128 14 quarantine quarantine NN cord-313991-u2rkn5uh 128 15 . . . cord-313991-u2rkn5uh 129 1 However however RB cord-313991-u2rkn5uh 129 2 , , , cord-313991-u2rkn5uh 129 3 it -PRON- PRP cord-313991-u2rkn5uh 129 4 is be VBZ cord-313991-u2rkn5uh 129 5 for for IN cord-313991-u2rkn5uh 129 6 this this DT cord-313991-u2rkn5uh 129 7 reason reason NN cord-313991-u2rkn5uh 129 8 that that IN cord-313991-u2rkn5uh 129 9 most most RBS cord-313991-u2rkn5uh 129 10 sensitive sensitive JJ cord-313991-u2rkn5uh 129 11 do do VBP cord-313991-u2rkn5uh 129 12 not not RB cord-313991-u2rkn5uh 129 13 have have VB cord-313991-u2rkn5uh 129 14 time time NN cord-313991-u2rkn5uh 129 15 to to TO cord-313991-u2rkn5uh 129 16 get get VB cord-313991-u2rkn5uh 129 17 sick sick JJ cord-313991-u2rkn5uh 129 18 during during IN cord-313991-u2rkn5uh 129 19 quarantine quarantine NN cord-313991-u2rkn5uh 129 20 . . . cord-313991-u2rkn5uh 130 1 After after IN cord-313991-u2rkn5uh 130 2 the the DT cord-313991-u2rkn5uh 130 3 quarantine quarantine NN cord-313991-u2rkn5uh 130 4 is be VBZ cord-313991-u2rkn5uh 130 5 released release VBN cord-313991-u2rkn5uh 130 6 , , , cord-313991-u2rkn5uh 130 7 the the DT cord-313991-u2rkn5uh 130 8 number number NN cord-313991-u2rkn5uh 130 9 of of IN cord-313991-u2rkn5uh 130 10 the the DT cord-313991-u2rkn5uh 130 11 superspreaders superspreader NNS cord-313991-u2rkn5uh 130 12 returns return VBZ cord-313991-u2rkn5uh 130 13 to to IN cord-313991-u2rkn5uh 130 14 the the DT cord-313991-u2rkn5uh 130 15 former former JJ cord-313991-u2rkn5uh 130 16 endemic endemic JJ cord-313991-u2rkn5uh 130 17 equilibrium equilibrium NN cord-313991-u2rkn5uh 130 18 non non JJ cord-313991-u2rkn5uh 130 19 - - JJ cord-313991-u2rkn5uh 130 20 zero zero JJ cord-313991-u2rkn5uh 130 21 value value NN cord-313991-u2rkn5uh 130 22 , , , cord-313991-u2rkn5uh 130 23 and and CC cord-313991-u2rkn5uh 130 24 a a DT cord-313991-u2rkn5uh 130 25 new new JJ cord-313991-u2rkn5uh 130 26 wave wave NN cord-313991-u2rkn5uh 130 27 of of IN cord-313991-u2rkn5uh 130 28 infected infected JJ cord-313991-u2rkn5uh 130 29 people people NNS cord-313991-u2rkn5uh 130 30 appears appear VBZ cord-313991-u2rkn5uh 130 31 among among IN cord-313991-u2rkn5uh 130 32 the the DT cord-313991-u2rkn5uh 130 33 sensitive sensitive JJ cord-313991-u2rkn5uh 130 34 . . . cord-313991-u2rkn5uh 131 1 It -PRON- PRP cord-313991-u2rkn5uh 131 2 represents represent VBZ cord-313991-u2rkn5uh 131 3 the the DT cord-313991-u2rkn5uh 131 4 second second JJ cord-313991-u2rkn5uh 131 5 ( ( -LRB- cord-313991-u2rkn5uh 131 6 residual residual JJ cord-313991-u2rkn5uh 131 7 ) ) -RRB- cord-313991-u2rkn5uh 131 8 wave wave NN cord-313991-u2rkn5uh 131 9 of of IN cord-313991-u2rkn5uh 131 10 morbidity morbidity NN cord-313991-u2rkn5uh 131 11 Thus thus RB cord-313991-u2rkn5uh 131 12 excessively excessively RB cord-313991-u2rkn5uh 131 13 strict strict JJ cord-313991-u2rkn5uh 131 14 quarantine quarantine NN cord-313991-u2rkn5uh 131 15 that that WDT cord-313991-u2rkn5uh 131 16 deactivates deactivate VBZ cord-313991-u2rkn5uh 131 17 all all DT cord-313991-u2rkn5uh 131 18 carriers carrier NNS cord-313991-u2rkn5uh 131 19 of of IN cord-313991-u2rkn5uh 131 20 the the DT cord-313991-u2rkn5uh 131 21 virus virus NN cord-313991-u2rkn5uh 131 22 is be VBZ cord-313991-u2rkn5uh 131 23 harmful harmful JJ cord-313991-u2rkn5uh 131 24 . . . cord-313991-u2rkn5uh 132 1 The the DT cord-313991-u2rkn5uh 132 2 reason reason NN cord-313991-u2rkn5uh 132 3 for for IN cord-313991-u2rkn5uh 132 4 this this DT cord-313991-u2rkn5uh 132 5 is be VBZ cord-313991-u2rkn5uh 132 6 that that IN cord-313991-u2rkn5uh 132 7 in in IN cord-313991-u2rkn5uh 132 8 the the DT cord-313991-u2rkn5uh 132 9 absence absence NN cord-313991-u2rkn5uh 132 10 of of IN cord-313991-u2rkn5uh 132 11 the the DT cord-313991-u2rkn5uh 132 12 virus virus NN cord-313991-u2rkn5uh 132 13 , , , cord-313991-u2rkn5uh 132 14 the the DT cord-313991-u2rkn5uh 132 15 sensitive sensitive JJ cord-313991-u2rkn5uh 132 16 are be VBP cord-313991-u2rkn5uh 132 17 completely completely RB cord-313991-u2rkn5uh 132 18 deprived deprive VBN cord-313991-u2rkn5uh 132 19 of of IN cord-313991-u2rkn5uh 132 20 the the DT cord-313991-u2rkn5uh 132 21 opportunity opportunity NN cord-313991-u2rkn5uh 132 22 to to TO cord-313991-u2rkn5uh 132 23 acquire acquire VB cord-313991-u2rkn5uh 132 24 immunity immunity NN cord-313991-u2rkn5uh 132 25 during during IN cord-313991-u2rkn5uh 132 26 the the DT cord-313991-u2rkn5uh 132 27 course course NN cord-313991-u2rkn5uh 132 28 of of IN cord-313991-u2rkn5uh 132 29 the the DT cord-313991-u2rkn5uh 132 30 disease disease NN cord-313991-u2rkn5uh 132 31 . . . cord-313991-u2rkn5uh 133 1 When when WRB cord-313991-u2rkn5uh 133 2 active active JJ cord-313991-u2rkn5uh 133 3 infected infected JJ cord-313991-u2rkn5uh 133 4 superspreaders superspreader NNS cord-313991-u2rkn5uh 133 5 reappear reappear VBP cord-313991-u2rkn5uh 133 6 after after IN cord-313991-u2rkn5uh 133 7 the the DT cord-313991-u2rkn5uh 133 8 quarantine quarantine NN cord-313991-u2rkn5uh 133 9 has have VBZ cord-313991-u2rkn5uh 133 10 been be VBN cord-313991-u2rkn5uh 133 11 lifted lift VBN cord-313991-u2rkn5uh 133 12 , , , cord-313991-u2rkn5uh 133 13 this this DT cord-313991-u2rkn5uh 133 14 still still RB cord-313991-u2rkn5uh 133 15 inevitably inevitably RB cord-313991-u2rkn5uh 133 16 leads lead VBZ cord-313991-u2rkn5uh 133 17 to to IN cord-313991-u2rkn5uh 133 18 the the DT cord-313991-u2rkn5uh 133 19 infection infection NN cord-313991-u2rkn5uh 133 20 of of IN cord-313991-u2rkn5uh 133 21 the the DT cord-313991-u2rkn5uh 133 22 sensitive sensitive JJ cord-313991-u2rkn5uh 133 23 , , , cord-313991-u2rkn5uh 133 24 deprived deprive VBN cord-313991-u2rkn5uh 133 25 of of IN cord-313991-u2rkn5uh 133 26 immunity immunity NN cord-313991-u2rkn5uh 133 27 , , , cord-313991-u2rkn5uh 133 28 to to IN cord-313991-u2rkn5uh 133 29 the the DT cord-313991-u2rkn5uh 133 30 appearance appearance NN cord-313991-u2rkn5uh 133 31 of of IN cord-313991-u2rkn5uh 133 32 a a DT cord-313991-u2rkn5uh 133 33 second second JJ cord-313991-u2rkn5uh 133 34 wave wave NN cord-313991-u2rkn5uh 133 35 of of IN cord-313991-u2rkn5uh 133 36 the the DT cord-313991-u2rkn5uh 133 37 epidemic epidemic NN cord-313991-u2rkn5uh 133 38 and and CC cord-313991-u2rkn5uh 133 39 , , , cord-313991-u2rkn5uh 133 40 thereby thereby RB cord-313991-u2rkn5uh 133 41 , , , cord-313991-u2rkn5uh 133 42 to to IN cord-313991-u2rkn5uh 133 43 an an DT cord-313991-u2rkn5uh 133 44 increase increase NN cord-313991-u2rkn5uh 133 45 in in IN cord-313991-u2rkn5uh 133 46 its -PRON- PRP$ cord-313991-u2rkn5uh 133 47 duration duration NN cord-313991-u2rkn5uh 133 48 . . . cord-313991-u2rkn5uh 134 1 Since since IN cord-313991-u2rkn5uh 134 2 the the DT cord-313991-u2rkn5uh 134 3 severity severity NN cord-313991-u2rkn5uh 134 4 of of IN cord-313991-u2rkn5uh 134 5 quarantine quarantine NN cord-313991-u2rkn5uh 134 6 can can MD cord-313991-u2rkn5uh 134 7 be be VB cord-313991-u2rkn5uh 134 8 assessed assess VBN cord-313991-u2rkn5uh 134 9 only only RB cord-313991-u2rkn5uh 134 10 by by IN cord-313991-u2rkn5uh 134 11 its -PRON- PRP$ cord-313991-u2rkn5uh 134 12 consequences consequence NNS cord-313991-u2rkn5uh 134 13 , , , cord-313991-u2rkn5uh 134 14 it -PRON- PRP cord-313991-u2rkn5uh 134 15 seems seem VBZ cord-313991-u2rkn5uh 134 16 reasonable reasonable JJ cord-313991-u2rkn5uh 134 17 to to TO cord-313991-u2rkn5uh 134 18 find find VB cord-313991-u2rkn5uh 134 19 a a DT cord-313991-u2rkn5uh 134 20 criterion criterion NN cord-313991-u2rkn5uh 134 21 for for IN cord-313991-u2rkn5uh 134 22 the the DT cord-313991-u2rkn5uh 134 23 possibility possibility NN cord-313991-u2rkn5uh 134 24 of of IN cord-313991-u2rkn5uh 134 25 a a DT cord-313991-u2rkn5uh 134 26 second second JJ cord-313991-u2rkn5uh 134 27 wave wave NN cord-313991-u2rkn5uh 134 28 after after IN cord-313991-u2rkn5uh 134 29 quarantine quarantine NN cord-313991-u2rkn5uh 134 30 is be VBZ cord-313991-u2rkn5uh 134 31 removed remove VBN cord-313991-u2rkn5uh 134 32 ( ( -LRB- cord-313991-u2rkn5uh 134 33 corresponds correspond VBZ cord-313991-u2rkn5uh 134 34 to to IN cord-313991-u2rkn5uh 134 35 the the DT cord-313991-u2rkn5uh 134 36 phase phase NN cord-313991-u2rkn5uh 134 37 of of IN cord-313991-u2rkn5uh 134 38 quarantine quarantine NN cord-313991-u2rkn5uh 134 39 D d NN cord-313991-u2rkn5uh 134 40 in in IN cord-313991-u2rkn5uh 134 41 Fig.3 fig.3 NN cord-313991-u2rkn5uh 134 42 ) ) -RRB- cord-313991-u2rkn5uh 134 43 based base VBN cord-313991-u2rkn5uh 134 44 on on IN cord-313991-u2rkn5uh 134 45 the the DT cord-313991-u2rkn5uh 134 46 analysis analysis NN cord-313991-u2rkn5uh 134 47 of of IN cord-313991-u2rkn5uh 134 48 the the DT cord-313991-u2rkn5uh 134 49 current current JJ cord-313991-u2rkn5uh 134 50 course course NN cord-313991-u2rkn5uh 134 51 of of IN cord-313991-u2rkn5uh 134 52 the the DT cord-313991-u2rkn5uh 134 53 epidemic epidemic NN cord-313991-u2rkn5uh 134 54 , , , cord-313991-u2rkn5uh 134 55 i.e. i.e. FW cord-313991-u2rkn5uh 134 56 before before IN cord-313991-u2rkn5uh 134 57 the the DT cord-313991-u2rkn5uh 134 58 quarantine quarantine NN cord-313991-u2rkn5uh 134 59 was be VBD cord-313991-u2rkn5uh 134 60 lifted lift VBN cord-313991-u2rkn5uh 134 61 ( ( -LRB- cord-313991-u2rkn5uh 134 62 corresponds correspond VBZ cord-313991-u2rkn5uh 134 63 to to IN cord-313991-u2rkn5uh 134 64 the the DT cord-313991-u2rkn5uh 134 65 beginning beginning NN cord-313991-u2rkn5uh 134 66 of of IN cord-313991-u2rkn5uh 134 67 quarantine quarantine NN cord-313991-u2rkn5uh 134 68 phase phase NN cord-313991-u2rkn5uh 134 69 B b NN cord-313991-u2rkn5uh 134 70 and and CC cord-313991-u2rkn5uh 134 71 endemic endemic JJ cord-313991-u2rkn5uh 134 72 phase phase NN cord-313991-u2rkn5uh 134 73 C c NN cord-313991-u2rkn5uh 134 74 in in IN cord-313991-u2rkn5uh 134 75 Fig Fig NNP cord-313991-u2rkn5uh 134 76 . . NNP cord-313991-u2rkn5uh 134 77 4 4 CD cord-313991-u2rkn5uh 134 78 ) ) -RRB- cord-313991-u2rkn5uh 134 79 . . . cord-313991-u2rkn5uh 135 1 The the DT cord-313991-u2rkn5uh 135 2 forecast forecast NN cord-313991-u2rkn5uh 135 3 of of IN cord-313991-u2rkn5uh 135 4 the the DT cord-313991-u2rkn5uh 135 5 second second JJ cord-313991-u2rkn5uh 135 6 wave wave NN cord-313991-u2rkn5uh 135 7 will will MD cord-313991-u2rkn5uh 135 8 be be VB cord-313991-u2rkn5uh 135 9 based base VBN cord-313991-u2rkn5uh 135 10 on on IN cord-313991-u2rkn5uh 135 11 the the DT cord-313991-u2rkn5uh 135 12 course course NN cord-313991-u2rkn5uh 135 13 of of IN cord-313991-u2rkn5uh 135 14 the the DT cord-313991-u2rkn5uh 135 15 epidemic epidemic NN cord-313991-u2rkn5uh 135 16 immediately immediately RB cord-313991-u2rkn5uh 135 17 before before IN cord-313991-u2rkn5uh 135 18 and and CC cord-313991-u2rkn5uh 135 19 after after IN cord-313991-u2rkn5uh 135 20 the the DT cord-313991-u2rkn5uh 135 21 first first JJ cord-313991-u2rkn5uh 135 22 maximum maximum NN cord-313991-u2rkn5uh 135 23 . . . cord-313991-u2rkn5uh 136 1 In in IN cord-313991-u2rkn5uh 136 2 accordance accordance NN cord-313991-u2rkn5uh 136 3 with with IN cord-313991-u2rkn5uh 136 4 the the DT cord-313991-u2rkn5uh 136 5 exact exact JJ cord-313991-u2rkn5uh 136 6 solution solution NN cord-313991-u2rkn5uh 136 7 ( ( -LRB- cord-313991-u2rkn5uh 136 8 10,11 10,11 CD cord-313991-u2rkn5uh 136 9 ) ) -RRB- cord-313991-u2rkn5uh 136 10 , , , cord-313991-u2rkn5uh 136 11 before before IN cord-313991-u2rkn5uh 136 12 reaching reach VBG cord-313991-u2rkn5uh 136 13 the the DT cord-313991-u2rkn5uh 136 14 first first JJ cord-313991-u2rkn5uh 136 15 maximum maximum NN cord-313991-u2rkn5uh 136 16 , , , cord-313991-u2rkn5uh 136 17 the the DT cord-313991-u2rkn5uh 136 18 increase increase NN cord-313991-u2rkn5uh 136 19 in in IN cord-313991-u2rkn5uh 136 20 the the DT cord-313991-u2rkn5uh 136 21 incidence incidence NN cord-313991-u2rkn5uh 136 22 rate rate NN cord-313991-u2rkn5uh 136 23 under under IN cord-313991-u2rkn5uh 136 24 quarantine quarantine NN cord-313991-u2rkn5uh 136 25 conditions condition NNS cord-313991-u2rkn5uh 136 26 with with IN cord-313991-u2rkn5uh 136 27 factor factor NN cord-313991-u2rkn5uh 136 28 Q q NN cord-313991-u2rkn5uh 136 29 occurs occur VBZ cord-313991-u2rkn5uh 136 30 with with IN cord-313991-u2rkn5uh 136 31 an an DT cord-313991-u2rkn5uh 136 32 exponential exponential JJ cord-313991-u2rkn5uh 136 33 rate rate NN cord-313991-u2rkn5uh 136 34 ∝ ∝ NN cord-313991-u2rkn5uh 136 35 e e NNP cord-313991-u2rkn5uh 136 36 ( ( -LRB- cord-313991-u2rkn5uh 136 37 Qg−γ)t Qg−γ)t NNP cord-313991-u2rkn5uh 136 38 . . . cord-313991-u2rkn5uh 137 1 After after IN cord-313991-u2rkn5uh 137 2 reaching reach VBG cord-313991-u2rkn5uh 137 3 the the DT cord-313991-u2rkn5uh 137 4 first first JJ cord-313991-u2rkn5uh 137 5 maximum maximum NN cord-313991-u2rkn5uh 137 6 , , , cord-313991-u2rkn5uh 137 7 the the DT cord-313991-u2rkn5uh 137 8 incidence incidence NN cord-313991-u2rkn5uh 137 9 rate rate NN cord-313991-u2rkn5uh 137 10 decreases decrease VBZ cord-313991-u2rkn5uh 137 11 exponentially exponentially RB cord-313991-u2rkn5uh 137 12 ∝ ∝ NNP cord-313991-u2rkn5uh 137 13 e e XX cord-313991-u2rkn5uh 137 14 −(Qαg+γ)t −(Qαg+γ)t NNP cord-313991-u2rkn5uh 137 15 . . . cord-313991-u2rkn5uh 138 1 The the DT cord-313991-u2rkn5uh 138 2 ratio ratio NN cord-313991-u2rkn5uh 138 3 of of IN cord-313991-u2rkn5uh 138 4 the the DT cord-313991-u2rkn5uh 138 5 Fig Fig NNP cord-313991-u2rkn5uh 138 6 . . . cord-313991-u2rkn5uh 139 1 4 4 LS cord-313991-u2rkn5uh 139 2 . . . cord-313991-u2rkn5uh 140 1 The the DT cord-313991-u2rkn5uh 140 2 appearance appearance NN cord-313991-u2rkn5uh 140 3 of of IN cord-313991-u2rkn5uh 140 4 the the DT cord-313991-u2rkn5uh 140 5 second second JJ cord-313991-u2rkn5uh 140 6 wave wave NN cord-313991-u2rkn5uh 140 7 with with IN cord-313991-u2rkn5uh 140 8 a a DT cord-313991-u2rkn5uh 140 9 decrease decrease NN cord-313991-u2rkn5uh 140 10 in in IN cord-313991-u2rkn5uh 140 11 the the DT cord-313991-u2rkn5uh 140 12 quarantine quarantine NN cord-313991-u2rkn5uh 140 13 parameter parameter NN cord-313991-u2rkn5uh 140 14 Q q NN cord-313991-u2rkn5uh 140 15 ( ( -LRB- cord-313991-u2rkn5uh 140 16 i.e. i.e. FW cord-313991-u2rkn5uh 140 17 , , , cord-313991-u2rkn5uh 140 18 with with IN cord-313991-u2rkn5uh 140 19 an an DT cord-313991-u2rkn5uh 140 20 increase increase NN cord-313991-u2rkn5uh 140 21 of of IN cord-313991-u2rkn5uh 140 22 the the DT cord-313991-u2rkn5uh 140 23 quarantine quarantine NN cord-313991-u2rkn5uh 140 24 ) ) -RRB- cord-313991-u2rkn5uh 140 25 . . . cord-313991-u2rkn5uh 141 1 Sections section NNS cord-313991-u2rkn5uh 141 2 A A NNP cord-313991-u2rkn5uh 141 3 , , , cord-313991-u2rkn5uh 141 4 B b NN cord-313991-u2rkn5uh 141 5 , , , cord-313991-u2rkn5uh 141 6 C C NNP cord-313991-u2rkn5uh 141 7 , , , cord-313991-u2rkn5uh 141 8 D d NN cord-313991-u2rkn5uh 141 9 correspond correspond VBP cord-313991-u2rkn5uh 141 10 to to IN cord-313991-u2rkn5uh 141 11 4 4 CD cord-313991-u2rkn5uh 141 12 different different JJ cord-313991-u2rkn5uh 141 13 phases phase NNS cord-313991-u2rkn5uh 141 14 of of IN cord-313991-u2rkn5uh 141 15 the the DT cord-313991-u2rkn5uh 141 16 epidemic epidemic NN cord-313991-u2rkn5uh 141 17 : : : cord-313991-u2rkn5uh 142 1 Athe athe JJ cord-313991-u2rkn5uh 142 2 epidemic epidemic NN cord-313991-u2rkn5uh 142 3 phase phase NN cord-313991-u2rkn5uh 142 4 itself -PRON- PRP cord-313991-u2rkn5uh 142 5 , , . cord-313991-u2rkn5uh 143 1 B b LS cord-313991-u2rkn5uh 143 2 -the -the DT cord-313991-u2rkn5uh 143 3 phase phase NN cord-313991-u2rkn5uh 143 4 of of IN cord-313991-u2rkn5uh 143 5 the the DT cord-313991-u2rkn5uh 143 6 beginning beginning NN cord-313991-u2rkn5uh 143 7 of of IN cord-313991-u2rkn5uh 143 8 quarantine quarantine NN cord-313991-u2rkn5uh 143 9 , , , cord-313991-u2rkn5uh 143 10 C C NNP cord-313991-u2rkn5uh 143 11 -the -the ADD cord-313991-u2rkn5uh 143 12 endemic endemic JJ cord-313991-u2rkn5uh 143 13 phase phase NN cord-313991-u2rkn5uh 143 14 , , , cord-313991-u2rkn5uh 144 1 D D NNP cord-313991-u2rkn5uh 144 2 -the -the DT cord-313991-u2rkn5uh 144 3 phase phase NN cord-313991-u2rkn5uh 144 4 of of IN cord-313991-u2rkn5uh 144 5 quarantine quarantine NN cord-313991-u2rkn5uh 144 6 lifting lifting NN cord-313991-u2rkn5uh 144 7 . . . cord-313991-u2rkn5uh 145 1 The the DT cord-313991-u2rkn5uh 145 2 dotted dotted JJ cord-313991-u2rkn5uh 145 3 line line NN cord-313991-u2rkn5uh 145 4 shows show VBZ cord-313991-u2rkn5uh 145 5 the the DT cord-313991-u2rkn5uh 145 6 quarantine quarantine NN cord-313991-u2rkn5uh 145 7 factor factor NN cord-313991-u2rkn5uh 145 8 Q(t Q(t NNP cord-313991-u2rkn5uh 145 9 ) ) -RRB- cord-313991-u2rkn5uh 145 10 as as IN cord-313991-u2rkn5uh 145 11 a a DT cord-313991-u2rkn5uh 145 12 function function NN cord-313991-u2rkn5uh 145 13 of of IN cord-313991-u2rkn5uh 145 14 time time NN cord-313991-u2rkn5uh 145 15 . . . cord-313991-u2rkn5uh 146 1 solid solid JJ cord-313991-u2rkn5uh 146 2 -daily -daily IN cord-313991-u2rkn5uh 146 3 incidence incidence NN cord-313991-u2rkn5uh 146 4 . . . cord-313991-u2rkn5uh 147 1 For for IN cord-313991-u2rkn5uh 147 2 comparison comparison NN cord-313991-u2rkn5uh 147 3 , , , cord-313991-u2rkn5uh 147 4 the the DT cord-313991-u2rkn5uh 147 5 course course NN cord-313991-u2rkn5uh 147 6 of of IN cord-313991-u2rkn5uh 147 7 morbidity morbidity NN cord-313991-u2rkn5uh 147 8 is be VBZ cord-313991-u2rkn5uh 147 9 shown show VBN cord-313991-u2rkn5uh 147 10 in in IN cord-313991-u2rkn5uh 147 11 the the DT cord-313991-u2rkn5uh 147 12 complete complete JJ cord-313991-u2rkn5uh 147 13 absence absence NN cord-313991-u2rkn5uh 147 14 of of IN cord-313991-u2rkn5uh 147 15 quarantine quarantine NN cord-313991-u2rkn5uh 147 16 measures measure NNS cord-313991-u2rkn5uh 147 17 , , , cord-313991-u2rkn5uh 147 18 Q=1 Q=1 NNP cord-313991-u2rkn5uh 147 19 . . . cord-313991-u2rkn5uh 148 1 In in IN cord-313991-u2rkn5uh 148 2 this this DT cord-313991-u2rkn5uh 148 3 case case NN cord-313991-u2rkn5uh 148 4 , , , cord-313991-u2rkn5uh 148 5 the the DT cord-313991-u2rkn5uh 148 6 maximum maximum JJ cord-313991-u2rkn5uh 148 7 incidence incidence NN cord-313991-u2rkn5uh 148 8 would would MD cord-313991-u2rkn5uh 148 9 exceed exceed VB cord-313991-u2rkn5uh 148 10 the the DT cord-313991-u2rkn5uh 148 11 maximum maximum JJ cord-313991-u2rkn5uh 148 12 scale scale NN cord-313991-u2rkn5uh 148 13 of of IN cord-313991-u2rkn5uh 148 14 the the DT cord-313991-u2rkn5uh 148 15 graph graph NN cord-313991-u2rkn5uh 148 16 by by IN cord-313991-u2rkn5uh 148 17 about about IN cord-313991-u2rkn5uh 148 18 1.5 1.5 CD cord-313991-u2rkn5uh 148 19 times time NNS cord-313991-u2rkn5uh 148 20 . . . cord-313991-u2rkn5uh 149 1 The the DT cord-313991-u2rkn5uh 149 2 minimum minimum JJ cord-313991-u2rkn5uh 149 3 value value NN cord-313991-u2rkn5uh 149 4 of of IN cord-313991-u2rkn5uh 149 5 the the DT cord-313991-u2rkn5uh 149 6 quarantine quarantine NN cord-313991-u2rkn5uh 149 7 factor factor NN cord-313991-u2rkn5uh 149 8 Q=0.45 Q=0.45 NNP cord-313991-u2rkn5uh 149 9 conditionally conditionally RB cord-313991-u2rkn5uh 149 10 corresponds correspond VBZ cord-313991-u2rkn5uh 149 11 to to IN cord-313991-u2rkn5uh 149 12 moderate moderate JJ cord-313991-u2rkn5uh 149 13 quarantine quarantine NN cord-313991-u2rkn5uh 149 14 measures measure NNS cord-313991-u2rkn5uh 149 15 , , , cord-313991-u2rkn5uh 149 16 Q=0.30 q=0.30 NN cord-313991-u2rkn5uh 149 17 -strict -strict NN cord-313991-u2rkn5uh 149 18 , , , cord-313991-u2rkn5uh 150 1 Q=0.15 Q=0.15 NNP cord-313991-u2rkn5uh 150 2 -extremely -extremely RB cord-313991-u2rkn5uh 150 3 strict strict JJ cord-313991-u2rkn5uh 150 4 . . . cord-313991-u2rkn5uh 151 1 remix remix NN cord-313991-u2rkn5uh 151 2 , , , cord-313991-u2rkn5uh 151 3 or or CC cord-313991-u2rkn5uh 151 4 adapt adapt VB cord-313991-u2rkn5uh 151 5 this this DT cord-313991-u2rkn5uh 151 6 material material NN cord-313991-u2rkn5uh 151 7 for for IN cord-313991-u2rkn5uh 151 8 any any DT cord-313991-u2rkn5uh 151 9 purpose purpose NN cord-313991-u2rkn5uh 151 10 without without IN cord-313991-u2rkn5uh 151 11 crediting credit VBG cord-313991-u2rkn5uh 151 12 the the DT cord-313991-u2rkn5uh 151 13 original original JJ cord-313991-u2rkn5uh 151 14 authors author NNS cord-313991-u2rkn5uh 151 15 . . . cord-313991-u2rkn5uh 152 1 preprint preprint NN cord-313991-u2rkn5uh 152 2 ( ( -LRB- cord-313991-u2rkn5uh 152 3 which which WDT cord-313991-u2rkn5uh 152 4 was be VBD cord-313991-u2rkn5uh 152 5 not not RB cord-313991-u2rkn5uh 152 6 certified certify VBN cord-313991-u2rkn5uh 152 7 by by IN cord-313991-u2rkn5uh 152 8 peer peer NN cord-313991-u2rkn5uh 152 9 review review NN cord-313991-u2rkn5uh 152 10 ) ) -RRB- cord-313991-u2rkn5uh 152 11 in in IN cord-313991-u2rkn5uh 152 12 the the DT cord-313991-u2rkn5uh 152 13 Public Public NNP cord-313991-u2rkn5uh 152 14 Domain Domain NNP cord-313991-u2rkn5uh 152 15 . . . cord-313991-u2rkn5uh 153 1 It -PRON- PRP cord-313991-u2rkn5uh 153 2 is be VBZ cord-313991-u2rkn5uh 153 3 no no RB cord-313991-u2rkn5uh 153 4 longer long RBR cord-313991-u2rkn5uh 153 5 restricted restrict VBN cord-313991-u2rkn5uh 153 6 by by IN cord-313991-u2rkn5uh 153 7 copyright copyright NN cord-313991-u2rkn5uh 153 8 . . . cord-313991-u2rkn5uh 154 1 Anyone anyone NN cord-313991-u2rkn5uh 154 2 can can MD cord-313991-u2rkn5uh 154 3 legally legally RB cord-313991-u2rkn5uh 154 4 share share VB cord-313991-u2rkn5uh 154 5 , , , cord-313991-u2rkn5uh 154 6 reuse reuse VB cord-313991-u2rkn5uh 154 7 , , , cord-313991-u2rkn5uh 154 8 The the DT cord-313991-u2rkn5uh 154 9 copyright copyright NN cord-313991-u2rkn5uh 154 10 holder holder NN cord-313991-u2rkn5uh 154 11 has have VBZ cord-313991-u2rkn5uh 154 12 placed place VBN cord-313991-u2rkn5uh 154 13 this this DT cord-313991-u2rkn5uh 154 14 this this DT cord-313991-u2rkn5uh 154 15 version version NN cord-313991-u2rkn5uh 154 16 posted post VBD cord-313991-u2rkn5uh 154 17 August August NNP cord-313991-u2rkn5uh 154 18 16 16 CD cord-313991-u2rkn5uh 154 19 , , , cord-313991-u2rkn5uh 154 20 2020 2020 CD cord-313991-u2rkn5uh 154 21 . . . cord-313991-u2rkn5uh 154 22 . . . cord-313991-u2rkn5uh 155 1 https://doi.org/10.1101/2020.08.14.20174557 https://doi.org/10.1101/2020.08.14.20174557 NNP cord-313991-u2rkn5uh 155 2 doi doi NN cord-313991-u2rkn5uh 155 3 : : : cord-313991-u2rkn5uh 156 1 medRxiv medRxiv NNS cord-313991-u2rkn5uh 156 2 preprint preprint NN cord-313991-u2rkn5uh 156 3 increment increment NN cord-313991-u2rkn5uh 156 4 of of IN cord-313991-u2rkn5uh 156 5 increase increase NN cord-313991-u2rkn5uh 156 6 and and CC cord-313991-u2rkn5uh 156 7 decrement decrement NN cord-313991-u2rkn5uh 156 8 of of IN cord-313991-u2rkn5uh 156 9 decrease decrease NN cord-313991-u2rkn5uh 156 10 is be VBZ cord-313991-u2rkn5uh 156 11 the the DT cord-313991-u2rkn5uh 156 12 value value NN cord-313991-u2rkn5uh 157 1 In in IN cord-313991-u2rkn5uh 157 2 the the DT cord-313991-u2rkn5uh 157 3 epidemic epidemic NN cord-313991-u2rkn5uh 157 4 limit limit NN cord-313991-u2rkn5uh 157 5 γ/(Qg γ/(Qg NNP cord-313991-u2rkn5uh 157 6 ) ) -RRB- cord-313991-u2rkn5uh 157 7 1 1 CD cord-313991-u2rkn5uh 157 8 , , , cord-313991-u2rkn5uh 157 9 when when WRB cord-313991-u2rkn5uh 157 10 the the DT cord-313991-u2rkn5uh 157 11 recovery recovery NN cord-313991-u2rkn5uh 157 12 constant constant NN cord-313991-u2rkn5uh 157 13 can can MD cord-313991-u2rkn5uh 157 14 be be VB cord-313991-u2rkn5uh 157 15 neglected neglect VBN cord-313991-u2rkn5uh 157 16 , , , cord-313991-u2rkn5uh 157 17 this this DT cord-313991-u2rkn5uh 157 18 ratio ratio NN cord-313991-u2rkn5uh 157 19 is be VBZ cord-313991-u2rkn5uh 157 20 equal equal JJ cord-313991-u2rkn5uh 157 21 to to IN cord-313991-u2rkn5uh 157 22 1 1 CD cord-313991-u2rkn5uh 157 23 / / SYM cord-313991-u2rkn5uh 157 24 α α NN cord-313991-u2rkn5uh 157 25 . . . cord-313991-u2rkn5uh 158 1 In in IN cord-313991-u2rkn5uh 158 2 [ [ -LRB- cord-313991-u2rkn5uh 158 3 1 1 CD cord-313991-u2rkn5uh 158 4 ] ] -RRB- cord-313991-u2rkn5uh 158 5 , , , cord-313991-u2rkn5uh 158 6 we -PRON- PRP cord-313991-u2rkn5uh 158 7 showed show VBD cord-313991-u2rkn5uh 158 8 , , , cord-313991-u2rkn5uh 158 9 using use VBG cord-313991-u2rkn5uh 158 10 the the DT cord-313991-u2rkn5uh 158 11 example example NN cord-313991-u2rkn5uh 158 12 of of IN cord-313991-u2rkn5uh 158 13 a a DT cord-313991-u2rkn5uh 158 14 number number NN cord-313991-u2rkn5uh 158 15 of of IN cord-313991-u2rkn5uh 158 16 countries country NNS cord-313991-u2rkn5uh 158 17 , , , cord-313991-u2rkn5uh 158 18 that that IN cord-313991-u2rkn5uh 158 19 this this DT cord-313991-u2rkn5uh 158 20 value value NN cord-313991-u2rkn5uh 158 21 has have VBZ cord-313991-u2rkn5uh 158 22 a a DT cord-313991-u2rkn5uh 158 23 numerical numerical JJ cord-313991-u2rkn5uh 158 24 value value NN cord-313991-u2rkn5uh 158 25 of of IN cord-313991-u2rkn5uh 158 26 In in IN cord-313991-u2rkn5uh 158 27 other other JJ cord-313991-u2rkn5uh 158 28 words word NNS cord-313991-u2rkn5uh 158 29 , , , cord-313991-u2rkn5uh 158 30 this this DT cord-313991-u2rkn5uh 158 31 means mean VBZ cord-313991-u2rkn5uh 158 32 that that IN cord-313991-u2rkn5uh 158 33 for for IN cord-313991-u2rkn5uh 158 34 most most JJS cord-313991-u2rkn5uh 158 35 countries country NNS cord-313991-u2rkn5uh 158 36 and and CC cord-313991-u2rkn5uh 158 37 territories territory NNS cord-313991-u2rkn5uh 158 38 , , , cord-313991-u2rkn5uh 158 39 the the DT cord-313991-u2rkn5uh 158 40 value value NN cord-313991-u2rkn5uh 158 41 of of IN cord-313991-u2rkn5uh 158 42 A a DT cord-313991-u2rkn5uh 158 43 is be VBZ cord-313991-u2rkn5uh 158 44 close close JJ cord-313991-u2rkn5uh 158 45 to to IN cord-313991-u2rkn5uh 158 46 4 4 CD cord-313991-u2rkn5uh 158 47 . . . cord-313991-u2rkn5uh 159 1 A a DT cord-313991-u2rkn5uh 159 2 significant significant JJ cord-313991-u2rkn5uh 159 3 deviation deviation NN cord-313991-u2rkn5uh 159 4 from from IN cord-313991-u2rkn5uh 159 5 this this DT cord-313991-u2rkn5uh 159 6 value value NN cord-313991-u2rkn5uh 159 7 towards towards IN cord-313991-u2rkn5uh 159 8 a a DT cord-313991-u2rkn5uh 159 9 decrease decrease NN cord-313991-u2rkn5uh 159 10 should should MD cord-313991-u2rkn5uh 159 11 indicate indicate VB cord-313991-u2rkn5uh 159 12 excessively excessively RB cord-313991-u2rkn5uh 159 13 strict strict JJ cord-313991-u2rkn5uh 159 14 quarantine quarantine NN cord-313991-u2rkn5uh 159 15 measures measure NNS cord-313991-u2rkn5uh 159 16 , , , cord-313991-u2rkn5uh 159 17 which which WDT cord-313991-u2rkn5uh 159 18 can can MD cord-313991-u2rkn5uh 159 19 lead lead VB cord-313991-u2rkn5uh 159 20 to to IN cord-313991-u2rkn5uh 159 21 the the DT cord-313991-u2rkn5uh 159 22 appearance appearance NN cord-313991-u2rkn5uh 159 23 of of IN cord-313991-u2rkn5uh 159 24 a a DT cord-313991-u2rkn5uh 159 25 noticeable noticeable JJ cord-313991-u2rkn5uh 159 26 new new JJ cord-313991-u2rkn5uh 159 27 wave wave NN cord-313991-u2rkn5uh 160 1 -even -even VBN cord-313991-u2rkn5uh 161 1 after after IN cord-313991-u2rkn5uh 161 2 almost almost RB cord-313991-u2rkn5uh 161 3 complete complete JJ cord-313991-u2rkn5uh 161 4 attenuation attenuation NN cord-313991-u2rkn5uh 161 5 of of IN cord-313991-u2rkn5uh 161 6 the the DT cord-313991-u2rkn5uh 161 7 first first JJ cord-313991-u2rkn5uh 161 8 . . . cord-313991-u2rkn5uh 162 1 The the DT cord-313991-u2rkn5uh 162 2 lower low JJR cord-313991-u2rkn5uh 162 3 the the DT cord-313991-u2rkn5uh 162 4 value value NN cord-313991-u2rkn5uh 162 5 of of IN cord-313991-u2rkn5uh 162 6 the the DT cord-313991-u2rkn5uh 162 7 parameter parameter NN cord-313991-u2rkn5uh 162 8 A a NN cord-313991-u2rkn5uh 162 9 , , , cord-313991-u2rkn5uh 162 10 the the DT cord-313991-u2rkn5uh 162 11 more more RBR cord-313991-u2rkn5uh 162 12 likely likely RB cord-313991-u2rkn5uh 162 13 the the DT cord-313991-u2rkn5uh 162 14 second second JJ cord-313991-u2rkn5uh 162 15 wave wave NN cord-313991-u2rkn5uh 162 16 . . . cord-313991-u2rkn5uh 163 1 Examples example NNS cord-313991-u2rkn5uh 163 2 of of IN cord-313991-u2rkn5uh 163 3 this this DT cord-313991-u2rkn5uh 163 4 kind kind NN cord-313991-u2rkn5uh 163 5 are be VBP cord-313991-u2rkn5uh 163 6 Israel Israel NNP cord-313991-u2rkn5uh 163 7 ( ( -LRB- cord-313991-u2rkn5uh 163 8 A=1.1 A=1.1 NNP cord-313991-u2rkn5uh 163 9 ) ) -RRB- cord-313991-u2rkn5uh 163 10 and and CC cord-313991-u2rkn5uh 163 11 Serbia Serbia NNP cord-313991-u2rkn5uh 163 12 ( ( -LRB- cord-313991-u2rkn5uh 163 13 A=0.9 A=0.9 NNP cord-313991-u2rkn5uh 163 14 ) ) -RRB- cord-313991-u2rkn5uh 163 15 , , , cord-313991-u2rkn5uh 163 16 where where WRB cord-313991-u2rkn5uh 163 17 there there EX cord-313991-u2rkn5uh 163 18 is be VBZ cord-313991-u2rkn5uh 163 19 a a DT cord-313991-u2rkn5uh 163 20 significant significant JJ cord-313991-u2rkn5uh 163 21 second second JJ cord-313991-u2rkn5uh 163 22 wave wave NN cord-313991-u2rkn5uh 163 23 . . . cord-313991-u2rkn5uh 164 1 The the DT cord-313991-u2rkn5uh 164 2 course course NN cord-313991-u2rkn5uh 164 3 of of IN cord-313991-u2rkn5uh 164 4 the the DT cord-313991-u2rkn5uh 164 5 epidemic epidemic NN cord-313991-u2rkn5uh 164 6 in in IN cord-313991-u2rkn5uh 164 7 these these DT cord-313991-u2rkn5uh 164 8 countries country NNS cord-313991-u2rkn5uh 164 9 is be VBZ cord-313991-u2rkn5uh 164 10 shown show VBN cord-313991-u2rkn5uh 164 11 in in IN cord-313991-u2rkn5uh 164 12 Fig.5 Fig.5 NNP cord-313991-u2rkn5uh 164 13 . . . cord-313991-u2rkn5uh 165 1 The the DT cord-313991-u2rkn5uh 165 2 value value NN cord-313991-u2rkn5uh 165 3 of of IN cord-313991-u2rkn5uh 165 4 the the DT cord-313991-u2rkn5uh 165 5 critical critical JJ cord-313991-u2rkn5uh 165 6 parameterA parameterA NNP cord-313991-u2rkn5uh 165 7 is be VBZ cord-313991-u2rkn5uh 165 8 determined determine VBN cord-313991-u2rkn5uh 165 9 by by IN cord-313991-u2rkn5uh 165 10 the the DT cord-313991-u2rkn5uh 165 11 section section NN cord-313991-u2rkn5uh 165 12 of of IN cord-313991-u2rkn5uh 165 13 the the DT cord-313991-u2rkn5uh 165 14 graph graph NN cord-313991-u2rkn5uh 165 15 at at IN cord-313991-u2rkn5uh 165 16 half half PDT cord-313991-u2rkn5uh 165 17 the the DT cord-313991-u2rkn5uh 165 18 maximum maximum JJ cord-313991-u2rkn5uh 165 19 height height NN cord-313991-u2rkn5uh 165 20 and and CC cord-313991-u2rkn5uh 165 21 the the DT cord-313991-u2rkn5uh 165 22 projection projection NN cord-313991-u2rkn5uh 165 23 of of IN cord-313991-u2rkn5uh 165 24 the the DT cord-313991-u2rkn5uh 165 25 top top NN cord-313991-u2rkn5uh 165 26 of of IN cord-313991-u2rkn5uh 165 27 the the DT cord-313991-u2rkn5uh 165 28 graph graph NN cord-313991-u2rkn5uh 165 29 onto onto IN cord-313991-u2rkn5uh 165 30 this this DT cord-313991-u2rkn5uh 165 31 section section NN cord-313991-u2rkn5uh 165 32 . . . cord-313991-u2rkn5uh 166 1 The the DT cord-313991-u2rkn5uh 166 2 value value NN cord-313991-u2rkn5uh 166 3 of of IN cord-313991-u2rkn5uh 166 4 parameter parameter NN cord-313991-u2rkn5uh 166 5 A a NN cord-313991-u2rkn5uh 166 6 in in IN cord-313991-u2rkn5uh 166 7 this this DT cord-313991-u2rkn5uh 166 8 and and CC cord-313991-u2rkn5uh 166 9 subsequent subsequent JJ cord-313991-u2rkn5uh 166 10 graphs graph NNS cord-313991-u2rkn5uh 166 11 is be VBZ cord-313991-u2rkn5uh 166 12 estimated estimate VBN cord-313991-u2rkn5uh 166 13 as as IN cord-313991-u2rkn5uh 166 14 the the DT cord-313991-u2rkn5uh 166 15 ratio ratio NN cord-313991-u2rkn5uh 166 16 of of IN cord-313991-u2rkn5uh 166 17 the the DT cord-313991-u2rkn5uh 166 18 lengths length NNS cord-313991-u2rkn5uh 166 19 of of IN cord-313991-u2rkn5uh 166 20 the the DT cord-313991-u2rkn5uh 166 21 right right NN cord-313991-u2rkn5uh 166 22 and and CC cord-313991-u2rkn5uh 166 23 left left JJ cord-313991-u2rkn5uh 166 24 segments segment NNS cord-313991-u2rkn5uh 166 25 of of IN cord-313991-u2rkn5uh 166 26 this this DT cord-313991-u2rkn5uh 166 27 section section NN cord-313991-u2rkn5uh 166 28 . . . cord-313991-u2rkn5uh 167 1 A a DT cord-313991-u2rkn5uh 167 2 very very RB cord-313991-u2rkn5uh 167 3 interesting interesting JJ cord-313991-u2rkn5uh 167 4 situation situation NN cord-313991-u2rkn5uh 167 5 shown show VBN cord-313991-u2rkn5uh 167 6 in in IN cord-313991-u2rkn5uh 167 7 Fig.6 fig.6 NN cord-313991-u2rkn5uh 167 8 is be VBZ cord-313991-u2rkn5uh 167 9 observed observe VBN cord-313991-u2rkn5uh 167 10 in in IN cord-313991-u2rkn5uh 167 11 Australia Australia NNP cord-313991-u2rkn5uh 167 12 and and CC cord-313991-u2rkn5uh 167 13 New New NNP cord-313991-u2rkn5uh 167 14 Zealand Zealand NNP cord-313991-u2rkn5uh 167 15 . . . cord-313991-u2rkn5uh 168 1 The the DT cord-313991-u2rkn5uh 168 2 first first JJ cord-313991-u2rkn5uh 168 3 peak peak NN cord-313991-u2rkn5uh 168 4 of of IN cord-313991-u2rkn5uh 168 5 the the DT cord-313991-u2rkn5uh 168 6 epidemics epidemic NNS cord-313991-u2rkn5uh 168 7 in in IN cord-313991-u2rkn5uh 168 8 both both DT cord-313991-u2rkn5uh 168 9 neighbouring neighbouring JJ cord-313991-u2rkn5uh 168 10 countries country NNS cord-313991-u2rkn5uh 168 11 is be VBZ cord-313991-u2rkn5uh 168 12 similar similar JJ cord-313991-u2rkn5uh 168 13 , , , cord-313991-u2rkn5uh 168 14 observed observe VBN cord-313991-u2rkn5uh 168 15 in in IN cord-313991-u2rkn5uh 168 16 the the DT cord-313991-u2rkn5uh 168 17 same same JJ cord-313991-u2rkn5uh 168 18 time time NN cord-313991-u2rkn5uh 168 19 and and CC cord-313991-u2rkn5uh 168 20 satisfies satisfy VBZ cord-313991-u2rkn5uh 168 21 the the DT cord-313991-u2rkn5uh 168 22 second second JJ cord-313991-u2rkn5uh 168 23 wave wave NN cord-313991-u2rkn5uh 168 24 criterion criterion NN cord-313991-u2rkn5uh 168 25 : : : cord-313991-u2rkn5uh 168 26 A=0.9 A=0.9 NNP cord-313991-u2rkn5uh 168 27 in in IN cord-313991-u2rkn5uh 168 28 Australia Australia NNP cord-313991-u2rkn5uh 168 29 and and CC cord-313991-u2rkn5uh 168 30 A=1.0 A=1.0 NNP cord-313991-u2rkn5uh 168 31 in in IN cord-313991-u2rkn5uh 168 32 New New NNP cord-313991-u2rkn5uh 168 33 Zealand Zealand NNP cord-313991-u2rkn5uh 168 34 . . . cord-313991-u2rkn5uh 169 1 In in IN cord-313991-u2rkn5uh 169 2 Australia Australia NNP cord-313991-u2rkn5uh 169 3 we -PRON- PRP cord-313991-u2rkn5uh 169 4 already already RB cord-313991-u2rkn5uh 169 5 observe observe VBP cord-313991-u2rkn5uh 169 6 the the DT cord-313991-u2rkn5uh 169 7 second second JJ cord-313991-u2rkn5uh 169 8 wave wave NN cord-313991-u2rkn5uh 169 9 with with IN cord-313991-u2rkn5uh 169 10 maximum maximum NN cord-313991-u2rkn5uh 169 11 about about RB cord-313991-u2rkn5uh 169 12 500 500 CD cord-313991-u2rkn5uh 169 13 cases case NNS cord-313991-u2rkn5uh 169 14 per per IN cord-313991-u2rkn5uh 169 15 day day NN cord-313991-u2rkn5uh 169 16 . . . cord-313991-u2rkn5uh 170 1 The the DT cord-313991-u2rkn5uh 170 2 value value NN cord-313991-u2rkn5uh 170 3 of of IN cord-313991-u2rkn5uh 170 4 A=1.0 A=1.0 NNP cord-313991-u2rkn5uh 170 5 indicates indicate VBZ cord-313991-u2rkn5uh 170 6 the the DT cord-313991-u2rkn5uh 170 7 emergence emergence NN cord-313991-u2rkn5uh 170 8 of of IN cord-313991-u2rkn5uh 170 9 a a DT cord-313991-u2rkn5uh 170 10 similar similar JJ cord-313991-u2rkn5uh 170 11 second second JJ cord-313991-u2rkn5uh 170 12 wave wave NN cord-313991-u2rkn5uh 170 13 in in IN cord-313991-u2rkn5uh 170 14 New New NNP cord-313991-u2rkn5uh 170 15 Zealand Zealand NNP cord-313991-u2rkn5uh 170 16 in in IN cord-313991-u2rkn5uh 170 17 the the DT cord-313991-u2rkn5uh 170 18 near near JJ cord-313991-u2rkn5uh 170 19 future future NN cord-313991-u2rkn5uh 170 20 . . . cord-313991-u2rkn5uh 171 1 Counterexamples counterexample NNS cord-313991-u2rkn5uh 171 2 of of IN cord-313991-u2rkn5uh 171 3 countries country NNS cord-313991-u2rkn5uh 171 4 with with IN cord-313991-u2rkn5uh 171 5 moderate moderate JJ cord-313991-u2rkn5uh 171 6 values value NNS cord-313991-u2rkn5uh 171 7 of of IN cord-313991-u2rkn5uh 171 8 A a DT cord-313991-u2rkn5uh 171 9 are be VBP cord-313991-u2rkn5uh 171 10 Germany Germany NNP cord-313991-u2rkn5uh 171 11 ( ( -LRB- cord-313991-u2rkn5uh 171 12 A=1.5 a=1.5 NN cord-313991-u2rkn5uh 171 13 ) ) -RRB- cord-313991-u2rkn5uh 171 14 and and CC cord-313991-u2rkn5uh 171 15 Italy Italy NNP cord-313991-u2rkn5uh 171 16 ( ( -LRB- cord-313991-u2rkn5uh 171 17 A=2.5 A=2.5 NNP cord-313991-u2rkn5uh 171 18 ) ) -RRB- cord-313991-u2rkn5uh 171 19 , , , cord-313991-u2rkn5uh 171 20 where where WRB cord-313991-u2rkn5uh 171 21 the the DT cord-313991-u2rkn5uh 171 22 signs sign NNS cord-313991-u2rkn5uh 171 23 of of IN cord-313991-u2rkn5uh 171 24 the the DT cord-313991-u2rkn5uh 171 25 second second JJ cord-313991-u2rkn5uh 171 26 wave wave NN cord-313991-u2rkn5uh 171 27 are be VBP cord-313991-u2rkn5uh 171 28 very very RB cord-313991-u2rkn5uh 171 29 weak weak JJ cord-313991-u2rkn5uh 171 30 . . . cord-313991-u2rkn5uh 172 1 The the DT cord-313991-u2rkn5uh 172 2 course course NN cord-313991-u2rkn5uh 172 3 of of IN cord-313991-u2rkn5uh 172 4 the the DT cord-313991-u2rkn5uh 172 5 epidemic epidemic NN cord-313991-u2rkn5uh 172 6 in in IN cord-313991-u2rkn5uh 172 7 these these DT cord-313991-u2rkn5uh 172 8 countries country NNS cord-313991-u2rkn5uh 172 9 is be VBZ cord-313991-u2rkn5uh 172 10 shown show VBN cord-313991-u2rkn5uh 172 11 in in IN cord-313991-u2rkn5uh 172 12 Fig.7 fig.7 CD cord-313991-u2rkn5uh 172 13 . . . cord-313991-u2rkn5uh 173 1 In in IN cord-313991-u2rkn5uh 173 2 addition addition NN cord-313991-u2rkn5uh 173 3 to to IN cord-313991-u2rkn5uh 173 4 the the DT cord-313991-u2rkn5uh 173 5 excessively excessively RB cord-313991-u2rkn5uh 173 6 strict strict JJ cord-313991-u2rkn5uh 173 7 quarantine quarantine NN cord-313991-u2rkn5uh 173 8 , , , cord-313991-u2rkn5uh 173 9 the the DT cord-313991-u2rkn5uh 173 10 reason reason NN cord-313991-u2rkn5uh 173 11 for for IN cord-313991-u2rkn5uh 173 12 the the DT cord-313991-u2rkn5uh 173 13 appearance appearance NN cord-313991-u2rkn5uh 173 14 of of IN cord-313991-u2rkn5uh 173 15 the the DT cord-313991-u2rkn5uh 173 16 second second JJ cord-313991-u2rkn5uh 173 17 wave wave NN cord-313991-u2rkn5uh 173 18 can can MD cord-313991-u2rkn5uh 173 19 obviously obviously RB cord-313991-u2rkn5uh 173 20 be be VB cord-313991-u2rkn5uh 173 21 its -PRON- PRP$ cord-313991-u2rkn5uh 173 22 premature premature JJ cord-313991-u2rkn5uh 173 23 weakening weakening NN cord-313991-u2rkn5uh 173 24 . . . cord-313991-u2rkn5uh 174 1 In in IN cord-313991-u2rkn5uh 174 2 this this DT cord-313991-u2rkn5uh 174 3 case case NN cord-313991-u2rkn5uh 174 4 , , , cord-313991-u2rkn5uh 174 5 the the DT cord-313991-u2rkn5uh 174 6 endemic endemic JJ cord-313991-u2rkn5uh 174 7 equilibrium equilibrium NN cord-313991-u2rkn5uh 174 8 number number NN cord-313991-u2rkn5uh 174 9 of of IN cord-313991-u2rkn5uh 174 10 superspreaders superspreader NNS cord-313991-u2rkn5uh 174 11 increases increase NNS cord-313991-u2rkn5uh 174 12 against against IN cord-313991-u2rkn5uh 174 13 the the DT cord-313991-u2rkn5uh 174 14 background background NN cord-313991-u2rkn5uh 174 15 of of IN cord-313991-u2rkn5uh 174 16 a a DT cord-313991-u2rkn5uh 174 17 significant significant JJ cord-313991-u2rkn5uh 174 18 proportion proportion NN cord-313991-u2rkn5uh 174 19 of of IN cord-313991-u2rkn5uh 174 20 sensitive sensitive JJ cord-313991-u2rkn5uh 174 21 individuals individual NNS cord-313991-u2rkn5uh 174 22 who who WP cord-313991-u2rkn5uh 174 23 have have VBP cord-313991-u2rkn5uh 174 24 not not RB cord-313991-u2rkn5uh 174 25 recovered recover VBN cord-313991-u2rkn5uh 174 26 and and CC cord-313991-u2rkn5uh 174 27 have have VBP cord-313991-u2rkn5uh 174 28 not not RB cord-313991-u2rkn5uh 174 29 yet yet RB cord-313991-u2rkn5uh 174 30 received receive VBN cord-313991-u2rkn5uh 174 31 immunity immunity NN cord-313991-u2rkn5uh 174 32 . . . cord-313991-u2rkn5uh 175 1 This this DT cord-313991-u2rkn5uh 175 2 will will MD cord-313991-u2rkn5uh 175 3 lead lead VB cord-313991-u2rkn5uh 175 4 to to IN cord-313991-u2rkn5uh 175 5 an an DT cord-313991-u2rkn5uh 175 6 immediate immediate JJ cord-313991-u2rkn5uh 175 7 increase increase NN cord-313991-u2rkn5uh 175 8 in in IN cord-313991-u2rkn5uh 175 9 the the DT cord-313991-u2rkn5uh 175 10 incidence incidence NN cord-313991-u2rkn5uh 175 11 , , , cord-313991-u2rkn5uh 175 12 as as IN cord-313991-u2rkn5uh 175 13 appears appear VBZ cord-313991-u2rkn5uh 175 14 to to TO cord-313991-u2rkn5uh 175 15 have have VB cord-313991-u2rkn5uh 175 16 happened happen VBN cord-313991-u2rkn5uh 175 17 in in IN cord-313991-u2rkn5uh 175 18 Iran Iran NNP cord-313991-u2rkn5uh 175 19 and and CC cord-313991-u2rkn5uh 175 20 the the DT cord-313991-u2rkn5uh 175 21 United United NNP cord-313991-u2rkn5uh 175 22 States States NNP cord-313991-u2rkn5uh 175 23 . . . cord-313991-u2rkn5uh 176 1 The the DT cord-313991-u2rkn5uh 176 2 course course NN cord-313991-u2rkn5uh 176 3 of of IN cord-313991-u2rkn5uh 176 4 the the DT cord-313991-u2rkn5uh 176 5 epidemic epidemic NN cord-313991-u2rkn5uh 176 6 in in IN cord-313991-u2rkn5uh 176 7 these these DT cord-313991-u2rkn5uh 176 8 countries country NNS cord-313991-u2rkn5uh 176 9 is be VBZ cord-313991-u2rkn5uh 176 10 shown show VBN cord-313991-u2rkn5uh 176 11 in in IN cord-313991-u2rkn5uh 176 12 Fig.8 Fig.8 NNP cord-313991-u2rkn5uh 176 13 . . . cord-313991-u2rkn5uh 177 1 Note note VB cord-313991-u2rkn5uh 177 2 that that IN cord-313991-u2rkn5uh 177 3 in in IN cord-313991-u2rkn5uh 177 4 terms term NNS cord-313991-u2rkn5uh 177 5 of of IN cord-313991-u2rkn5uh 177 6 the the DT cord-313991-u2rkn5uh 177 7 criterion criterion NN cord-313991-u2rkn5uh 177 8 of of IN cord-313991-u2rkn5uh 177 9 severity severity NN cord-313991-u2rkn5uh 177 10 of of IN cord-313991-u2rkn5uh 177 11 quarantine quarantine NN cord-313991-u2rkn5uh 177 12 , , , cord-313991-u2rkn5uh 177 13 Iran Iran NNP cord-313991-u2rkn5uh 177 14 is be VBZ cord-313991-u2rkn5uh 177 15 equivalent equivalent JJ cord-313991-u2rkn5uh 177 16 to to IN cord-313991-u2rkn5uh 177 17 Germany Germany NNP cord-313991-u2rkn5uh 177 18 , , , cord-313991-u2rkn5uh 177 19 and and CC cord-313991-u2rkn5uh 177 20 the the DT cord-313991-u2rkn5uh 177 21 United United NNP cord-313991-u2rkn5uh 177 22 States States NNP cord-313991-u2rkn5uh 177 23 is be VBZ cord-313991-u2rkn5uh 177 24 equivalent equivalent JJ cord-313991-u2rkn5uh 177 25 to to IN cord-313991-u2rkn5uh 177 26 Italy Italy NNP cord-313991-u2rkn5uh 177 27 ( ( -LRB- cord-313991-u2rkn5uh 177 28 Fig Fig NNP cord-313991-u2rkn5uh 177 29 . . NNP cord-313991-u2rkn5uh 177 30 7 7 CD cord-313991-u2rkn5uh 177 31 ) ) -RRB- cord-313991-u2rkn5uh 177 32 . . . cord-313991-u2rkn5uh 178 1 This this DT cord-313991-u2rkn5uh 178 2 indicates indicate VBZ cord-313991-u2rkn5uh 178 3 that that IN cord-313991-u2rkn5uh 178 4 in in IN cord-313991-u2rkn5uh 178 5 both both DT cord-313991-u2rkn5uh 178 6 cases case NNS cord-313991-u2rkn5uh 178 7 , , , cord-313991-u2rkn5uh 178 8 extending extend VBG cord-313991-u2rkn5uh 178 9 the the DT cord-313991-u2rkn5uh 178 10 quarantine quarantine NN cord-313991-u2rkn5uh 178 11 until until IN cord-313991-u2rkn5uh 178 12 the the DT cord-313991-u2rkn5uh 178 13 end end NN cord-313991-u2rkn5uh 178 14 of of IN cord-313991-u2rkn5uh 178 15 the the DT cord-313991-u2rkn5uh 178 16 first first JJ cord-313991-u2rkn5uh 178 17 wave wave NN cord-313991-u2rkn5uh 178 18 would would MD cord-313991-u2rkn5uh 178 19 have have VB cord-313991-u2rkn5uh 178 20 avoided avoid VBN cord-313991-u2rkn5uh 178 21 the the DT cord-313991-u2rkn5uh 178 22 appearance appearance NN cord-313991-u2rkn5uh 178 23 of of IN cord-313991-u2rkn5uh 178 24 a a DT cord-313991-u2rkn5uh 178 25 second second JJ cord-313991-u2rkn5uh 178 26 wave wave NN cord-313991-u2rkn5uh 178 27 . . . cord-313991-u2rkn5uh 178 28 _SP cord-313991-u2rkn5uh 179 1 Thus thus RB cord-313991-u2rkn5uh 179 2 , , , cord-313991-u2rkn5uh 179 3 the the DT cord-313991-u2rkn5uh 179 4 two two CD cord-313991-u2rkn5uh 179 5 - - HYPH cord-313991-u2rkn5uh 179 6 component component NN cord-313991-u2rkn5uh 179 7 model model NN cord-313991-u2rkn5uh 179 8 not not RB cord-313991-u2rkn5uh 179 9 only only RB cord-313991-u2rkn5uh 179 10 provides provide VBZ cord-313991-u2rkn5uh 179 11 an an DT cord-313991-u2rkn5uh 179 12 adequate adequate JJ cord-313991-u2rkn5uh 179 13 description description NN cord-313991-u2rkn5uh 179 14 of of IN cord-313991-u2rkn5uh 179 15 the the DT cord-313991-u2rkn5uh 179 16 course course NN cord-313991-u2rkn5uh 179 17 of of IN cord-313991-u2rkn5uh 179 18 the the DT cord-313991-u2rkn5uh 179 19 COVID-19 covid-19 JJ cord-313991-u2rkn5uh 179 20 epidemic epidemic NN cord-313991-u2rkn5uh 179 21 , , , cord-313991-u2rkn5uh 179 22 but but CC cord-313991-u2rkn5uh 179 23 also also RB cord-313991-u2rkn5uh 179 24 allows allow VBZ cord-313991-u2rkn5uh 179 25 one one PRP cord-313991-u2rkn5uh 179 26 to to TO cord-313991-u2rkn5uh 179 27 assess assess VB cord-313991-u2rkn5uh 179 28 the the DT cord-313991-u2rkn5uh 179 29 impact impact NN cord-313991-u2rkn5uh 179 30 of of IN cord-313991-u2rkn5uh 179 31 the the DT cord-313991-u2rkn5uh 179 32 severity severity NN cord-313991-u2rkn5uh 179 33 and and CC cord-313991-u2rkn5uh 179 34 duration duration NN cord-313991-u2rkn5uh 179 35 of of IN cord-313991-u2rkn5uh 179 36 quarantine quarantine NN cord-313991-u2rkn5uh 179 37 measures measure NNS cord-313991-u2rkn5uh 179 38 on on IN cord-313991-u2rkn5uh 179 39 the the DT cord-313991-u2rkn5uh 179 40 course course NN cord-313991-u2rkn5uh 179 41 of of IN cord-313991-u2rkn5uh 179 42 the the DT cord-313991-u2rkn5uh 179 43 epidemic epidemic NN cord-313991-u2rkn5uh 179 44 . . . cord-313991-u2rkn5uh 180 1 It -PRON- PRP cord-313991-u2rkn5uh 180 2 results result VBZ cord-313991-u2rkn5uh 180 3 a a DT cord-313991-u2rkn5uh 180 4 simple simple JJ cord-313991-u2rkn5uh 180 5 criterion criterion NN cord-313991-u2rkn5uh 180 6 for for IN cord-313991-u2rkn5uh 180 7 predicting predict VBG cord-313991-u2rkn5uh 180 8 the the DT cord-313991-u2rkn5uh 180 9 possibility possibility NN cord-313991-u2rkn5uh 180 10 of of IN cord-313991-u2rkn5uh 180 11 a a DT cord-313991-u2rkn5uh 180 12 second second JJ cord-313991-u2rkn5uh 180 13 wave wave NN cord-313991-u2rkn5uh 180 14 of of IN cord-313991-u2rkn5uh 180 15 the the DT cord-313991-u2rkn5uh 180 16 epidemic epidemic NN cord-313991-u2rkn5uh 180 17 after after IN cord-313991-u2rkn5uh 180 18 the the DT cord-313991-u2rkn5uh 180 19 quarantine quarantine NN cord-313991-u2rkn5uh 180 20 is be VBZ cord-313991-u2rkn5uh 180 21 weakened weaken VBN cord-313991-u2rkn5uh 180 22 . . . cord-313991-u2rkn5uh 181 1 Based base VBN cord-313991-u2rkn5uh 181 2 on on IN cord-313991-u2rkn5uh 181 3 this this DT cord-313991-u2rkn5uh 181 4 criterion criterion NN cord-313991-u2rkn5uh 181 5 , , , cord-313991-u2rkn5uh 181 6 we -PRON- PRP cord-313991-u2rkn5uh 181 7 can can MD cord-313991-u2rkn5uh 181 8 predict predict VB cord-313991-u2rkn5uh 181 9 the the DT cord-313991-u2rkn5uh 181 10 repeated repeated JJ cord-313991-u2rkn5uh 181 11 wave wave NN cord-313991-u2rkn5uh 181 12 of of IN cord-313991-u2rkn5uh 181 13 the the DT cord-313991-u2rkn5uh 181 14 epidemic epidemic NN cord-313991-u2rkn5uh 181 15 in in IN cord-313991-u2rkn5uh 181 16 New New NNP cord-313991-u2rkn5uh 181 17 Zealand Zealand NNP cord-313991-u2rkn5uh 181 18 . . . cord-313991-u2rkn5uh 182 1 Further further RB cord-313991-u2rkn5uh 182 2 , , , cord-313991-u2rkn5uh 182 3 the the DT cord-313991-u2rkn5uh 182 4 two two CD cord-313991-u2rkn5uh 182 5 - - HYPH cord-313991-u2rkn5uh 182 6 component component NN cord-313991-u2rkn5uh 182 7 model model NN cord-313991-u2rkn5uh 182 8 provides provide VBZ cord-313991-u2rkn5uh 182 9 a a DT cord-313991-u2rkn5uh 182 10 natural natural JJ cord-313991-u2rkn5uh 182 11 explanation explanation NN cord-313991-u2rkn5uh 182 12 for for IN cord-313991-u2rkn5uh 182 13 the the DT cord-313991-u2rkn5uh 182 14 observed observed JJ cord-313991-u2rkn5uh 182 15 decrease decrease NN cord-313991-u2rkn5uh 182 16 in in IN cord-313991-u2rkn5uh 182 17 mortality mortality NN cord-313991-u2rkn5uh 182 18 among among IN cord-313991-u2rkn5uh 182 19 those those DT cord-313991-u2rkn5uh 182 20 infected infect VBN cord-313991-u2rkn5uh 182 21 . . . cord-313991-u2rkn5uh 183 1 It -PRON- PRP cord-313991-u2rkn5uh 183 2 is be VBZ cord-313991-u2rkn5uh 183 3 important important JJ cord-313991-u2rkn5uh 183 4 to to TO cord-313991-u2rkn5uh 183 5 understand understand VB cord-313991-u2rkn5uh 183 6 that that IN cord-313991-u2rkn5uh 183 7 , , , cord-313991-u2rkn5uh 183 8 due due IN cord-313991-u2rkn5uh 183 9 to to IN cord-313991-u2rkn5uh 183 10 the the DT cord-313991-u2rkn5uh 183 11 individual individual JJ cord-313991-u2rkn5uh 183 12 differences difference NNS cord-313991-u2rkn5uh 183 13 in in IN cord-313991-u2rkn5uh 183 14 the the DT cord-313991-u2rkn5uh 183 15 immune immune JJ cord-313991-u2rkn5uh 183 16 response response NN cord-313991-u2rkn5uh 183 17 , , , cord-313991-u2rkn5uh 183 18 the the DT cord-313991-u2rkn5uh 183 19 concepts concept NNS cord-313991-u2rkn5uh 183 20 of of IN cord-313991-u2rkn5uh 183 21 " " `` cord-313991-u2rkn5uh 183 22 infected infected JJ cord-313991-u2rkn5uh 183 23 " " '' cord-313991-u2rkn5uh 183 24 and and CC cord-313991-u2rkn5uh 183 25 " " `` cord-313991-u2rkn5uh 183 26 sick sick JJ cord-313991-u2rkn5uh 183 27 " " '' cord-313991-u2rkn5uh 183 28 are be VBP cord-313991-u2rkn5uh 183 29 not not RB cord-313991-u2rkn5uh 183 30 equivalent equivalent JJ cord-313991-u2rkn5uh 183 31 : : : cord-313991-u2rkn5uh 183 32 infection infection NN cord-313991-u2rkn5uh 183 33 leads lead VBZ cord-313991-u2rkn5uh 183 34 to to IN cord-313991-u2rkn5uh 183 35 disease disease NN cord-313991-u2rkn5uh 183 36 only only RB cord-313991-u2rkn5uh 183 37 in in IN cord-313991-u2rkn5uh 183 38 sensitive sensitive JJ cord-313991-u2rkn5uh 183 39 and and CC cord-313991-u2rkn5uh 183 40 does do VBZ cord-313991-u2rkn5uh 183 41 not not RB cord-313991-u2rkn5uh 183 42 lead lead VB cord-313991-u2rkn5uh 183 43 to to IN cord-313991-u2rkn5uh 183 44 disease disease NN cord-313991-u2rkn5uh 183 45 in in IN cord-313991-u2rkn5uh 183 46 superspreaders superspreader NNS cord-313991-u2rkn5uh 183 47 . . . cord-313991-u2rkn5uh 184 1 The the DT cord-313991-u2rkn5uh 184 2 increase increase NN cord-313991-u2rkn5uh 184 3 in in IN cord-313991-u2rkn5uh 184 4 the the DT cord-313991-u2rkn5uh 184 5 number number NN cord-313991-u2rkn5uh 184 6 of of IN cord-313991-u2rkn5uh 184 7 infected infect VBN cord-313991-u2rkn5uh 184 8 in in IN cord-313991-u2rkn5uh 184 9 the the DT cord-313991-u2rkn5uh 184 10 final final JJ cord-313991-u2rkn5uh 184 11 phase phase NN cord-313991-u2rkn5uh 184 12 of of IN cord-313991-u2rkn5uh 184 13 the the DT cord-313991-u2rkn5uh 184 14 epidemic epidemic NN cord-313991-u2rkn5uh 184 15 may may MD cord-313991-u2rkn5uh 184 16 largely largely RB cord-313991-u2rkn5uh 184 17 occur occur VB cord-313991-u2rkn5uh 184 18 not not RB cord-313991-u2rkn5uh 184 19 due due IN cord-313991-u2rkn5uh 184 20 to to IN cord-313991-u2rkn5uh 184 21 an an DT cord-313991-u2rkn5uh 184 22 increase increase NN cord-313991-u2rkn5uh 184 23 in in IN cord-313991-u2rkn5uh 184 24 real real JJ cord-313991-u2rkn5uh 184 25 morbidity morbidity NN cord-313991-u2rkn5uh 184 26 , , , cord-313991-u2rkn5uh 184 27 but but CC cord-313991-u2rkn5uh 184 28 due due IN cord-313991-u2rkn5uh 184 29 to to IN cord-313991-u2rkn5uh 184 30 an an DT cord-313991-u2rkn5uh 184 31 increase increase NN cord-313991-u2rkn5uh 184 32 in in IN cord-313991-u2rkn5uh 184 33 the the DT cord-313991-u2rkn5uh 184 34 number number NN cord-313991-u2rkn5uh 184 35 of of IN cord-313991-u2rkn5uh 184 36 asymptomatically asymptomatically RB cord-313991-u2rkn5uh 184 37 infected infect VBN cord-313991-u2rkn5uh 184 38 superspreaders superspreader NNS cord-313991-u2rkn5uh 184 39 found find VBN cord-313991-u2rkn5uh 184 40 during during IN cord-313991-u2rkn5uh 184 41 testing testing NN cord-313991-u2rkn5uh 184 42 . . . cord-313991-u2rkn5uh 185 1 Since since IN cord-313991-u2rkn5uh 185 2 those those DT cord-313991-u2rkn5uh 185 3 who who WP cord-313991-u2rkn5uh 185 4 have have VBP cord-313991-u2rkn5uh 185 5 recovered recover VBN cord-313991-u2rkn5uh 185 6 from from IN cord-313991-u2rkn5uh 185 7 the the DT cord-313991-u2rkn5uh 185 8 sensitive sensitive JJ cord-313991-u2rkn5uh 185 9 acquire acquire NN cord-313991-u2rkn5uh 185 10 immunity immunity NN cord-313991-u2rkn5uh 185 11 , , , cord-313991-u2rkn5uh 185 12 an an DT cord-313991-u2rkn5uh 185 13 increasing increase VBG cord-313991-u2rkn5uh 185 14 proportion proportion NN cord-313991-u2rkn5uh 185 15 of of IN cord-313991-u2rkn5uh 185 16 those those DT cord-313991-u2rkn5uh 185 17 infected infect VBN cord-313991-u2rkn5uh 185 18 are be VBP cord-313991-u2rkn5uh 185 19 superspread superspread NN cord-313991-u2rkn5uh 185 20 - - HYPH cord-313991-u2rkn5uh 185 21 remix remix NN cord-313991-u2rkn5uh 185 22 , , , cord-313991-u2rkn5uh 185 23 or or CC cord-313991-u2rkn5uh 185 24 adapt adapt VB cord-313991-u2rkn5uh 185 25 this this DT cord-313991-u2rkn5uh 185 26 material material NN cord-313991-u2rkn5uh 185 27 for for IN cord-313991-u2rkn5uh 185 28 any any DT cord-313991-u2rkn5uh 185 29 purpose purpose NN cord-313991-u2rkn5uh 185 30 without without IN cord-313991-u2rkn5uh 185 31 crediting credit VBG cord-313991-u2rkn5uh 185 32 the the DT cord-313991-u2rkn5uh 185 33 original original JJ cord-313991-u2rkn5uh 185 34 authors author NNS cord-313991-u2rkn5uh 185 35 . . . cord-313991-u2rkn5uh 186 1 preprint preprint NN cord-313991-u2rkn5uh 186 2 ( ( -LRB- cord-313991-u2rkn5uh 186 3 which which WDT cord-313991-u2rkn5uh 186 4 was be VBD cord-313991-u2rkn5uh 186 5 not not RB cord-313991-u2rkn5uh 186 6 certified certify VBN cord-313991-u2rkn5uh 186 7 by by IN cord-313991-u2rkn5uh 186 8 peer peer NN cord-313991-u2rkn5uh 186 9 review review NN cord-313991-u2rkn5uh 186 10 ) ) -RRB- cord-313991-u2rkn5uh 186 11 in in IN cord-313991-u2rkn5uh 186 12 the the DT cord-313991-u2rkn5uh 186 13 Public Public NNP cord-313991-u2rkn5uh 186 14 Domain Domain NNP cord-313991-u2rkn5uh 186 15 . . . cord-313991-u2rkn5uh 187 1 It -PRON- PRP cord-313991-u2rkn5uh 187 2 is be VBZ cord-313991-u2rkn5uh 187 3 no no RB cord-313991-u2rkn5uh 187 4 longer long RBR cord-313991-u2rkn5uh 187 5 restricted restrict VBN cord-313991-u2rkn5uh 187 6 by by IN cord-313991-u2rkn5uh 187 7 copyright copyright NN cord-313991-u2rkn5uh 187 8 . . . cord-313991-u2rkn5uh 188 1 Anyone anyone NN cord-313991-u2rkn5uh 188 2 can can MD cord-313991-u2rkn5uh 188 3 legally legally RB cord-313991-u2rkn5uh 188 4 share share VB cord-313991-u2rkn5uh 188 5 , , , cord-313991-u2rkn5uh 188 6 reuse reuse VB cord-313991-u2rkn5uh 188 7 , , , cord-313991-u2rkn5uh 188 8 The the DT cord-313991-u2rkn5uh 188 9 copyright copyright NN cord-313991-u2rkn5uh 188 10 holder holder NN cord-313991-u2rkn5uh 188 11 has have VBZ cord-313991-u2rkn5uh 188 12 placed place VBN cord-313991-u2rkn5uh 188 13 this this DT cord-313991-u2rkn5uh 188 14 this this DT cord-313991-u2rkn5uh 188 15 version version NN cord-313991-u2rkn5uh 188 16 posted post VBD cord-313991-u2rkn5uh 188 17 August August NNP cord-313991-u2rkn5uh 188 18 16 16 CD cord-313991-u2rkn5uh 188 19 , , , cord-313991-u2rkn5uh 188 20 2020 2020 CD cord-313991-u2rkn5uh 188 21 . . . cord-313991-u2rkn5uh 188 22 . . . cord-313991-u2rkn5uh 189 1 https://doi.org/10.1101/2020.08.14.20174557 https://doi.org/10.1101/2020.08.14.20174557 NNP cord-313991-u2rkn5uh 189 2 doi doi NN cord-313991-u2rkn5uh 189 3 : : : cord-313991-u2rkn5uh 190 1 medRxiv medRxiv NNP cord-313991-u2rkn5uh 190 2 preprint preprint NN cord-313991-u2rkn5uh 190 3 ers er NNS cord-313991-u2rkn5uh 190 4 . . . cord-313991-u2rkn5uh 191 1 That that DT cord-313991-u2rkn5uh 191 2 is be VBZ cord-313991-u2rkn5uh 191 3 why why WRB cord-313991-u2rkn5uh 191 4 , , , cord-313991-u2rkn5uh 191 5 according accord VBG cord-313991-u2rkn5uh 191 6 to to IN cord-313991-u2rkn5uh 191 7 the the DT cord-313991-u2rkn5uh 191 8 two two CD cord-313991-u2rkn5uh 191 9 - - HYPH cord-313991-u2rkn5uh 191 10 component component NN cord-313991-u2rkn5uh 191 11 model model NN cord-313991-u2rkn5uh 191 12 , , , cord-313991-u2rkn5uh 191 13 there there EX cord-313991-u2rkn5uh 191 14 is be VBZ cord-313991-u2rkn5uh 191 15 a a DT cord-313991-u2rkn5uh 191 16 decrease decrease NN cord-313991-u2rkn5uh 191 17 in in IN cord-313991-u2rkn5uh 191 18 mortality mortality NN cord-313991-u2rkn5uh 191 19 among among IN cord-313991-u2rkn5uh 191 20 the the DT cord-313991-u2rkn5uh 191 21 full full JJ cord-313991-u2rkn5uh 191 22 array array NN cord-313991-u2rkn5uh 191 23 of of IN cord-313991-u2rkn5uh 191 24 infected infected JJ cord-313991-u2rkn5uh 191 25 people people NNS cord-313991-u2rkn5uh 191 26 , , , cord-313991-u2rkn5uh 191 27 which which WDT cord-313991-u2rkn5uh 191 28 consists consist VBZ cord-313991-u2rkn5uh 191 29 of of IN cord-313991-u2rkn5uh 191 30 two two CD cord-313991-u2rkn5uh 191 31 parts part NNS cord-313991-u2rkn5uh 191 32 : : : cord-313991-u2rkn5uh 191 33 sick sick JJ cord-313991-u2rkn5uh 191 34 -infected -infected JJ cord-313991-u2rkn5uh 191 35 sensitive sensitive JJ cord-313991-u2rkn5uh 191 36 , , , cord-313991-u2rkn5uh 191 37 and and CC cord-313991-u2rkn5uh 191 38 asymptomatically asymptomatically RB cord-313991-u2rkn5uh 191 39 infected infected JJ cord-313991-u2rkn5uh 191 40 superspreaders superspreader NNS cord-313991-u2rkn5uh 191 41 identified identify VBN cord-313991-u2rkn5uh 191 42 during during IN cord-313991-u2rkn5uh 191 43 testing testing NN cord-313991-u2rkn5uh 191 44 . . . cord-313991-u2rkn5uh 192 1 For for IN cord-313991-u2rkn5uh 192 2 this this DT cord-313991-u2rkn5uh 192 3 reason reason NN cord-313991-u2rkn5uh 192 4 , , , cord-313991-u2rkn5uh 192 5 data datum NNS cord-313991-u2rkn5uh 192 6 on on IN cord-313991-u2rkn5uh 192 7 absolute absolute JJ cord-313991-u2rkn5uh 192 8 mortality mortality NN cord-313991-u2rkn5uh 192 9 from from IN cord-313991-u2rkn5uh 192 10 COVID-19 COVID-19 NNP cord-313991-u2rkn5uh 192 11 are be VBP cord-313991-u2rkn5uh 192 12 more more RBR cord-313991-u2rkn5uh 192 13 adequate adequate JJ cord-313991-u2rkn5uh 192 14 for for IN cord-313991-u2rkn5uh 192 15 model model NN cord-313991-u2rkn5uh 192 16 verification verification NN cord-313991-u2rkn5uh 192 17 than than IN cord-313991-u2rkn5uh 192 18 data datum NNS cord-313991-u2rkn5uh 192 19 on on IN cord-313991-u2rkn5uh 192 20 the the DT cord-313991-u2rkn5uh 192 21 number number NN cord-313991-u2rkn5uh 192 22 of of IN cord-313991-u2rkn5uh 192 23 infected infect VBN cord-313991-u2rkn5uh 192 24 . . . cord-313991-u2rkn5uh 193 1 It -PRON- PRP cord-313991-u2rkn5uh 193 2 is be VBZ cord-313991-u2rkn5uh 193 3 these these DT cord-313991-u2rkn5uh 193 4 data datum NNS cord-313991-u2rkn5uh 193 5 that that WDT cord-313991-u2rkn5uh 193 6 were be VBD cord-313991-u2rkn5uh 193 7 predominantly predominantly RB cord-313991-u2rkn5uh 193 8 used use VBN cord-313991-u2rkn5uh 193 9 to to TO cord-313991-u2rkn5uh 193 10 evaluate evaluate VB cord-313991-u2rkn5uh 193 11 the the DT cord-313991-u2rkn5uh 193 12 re re NN cord-313991-u2rkn5uh 193 13 - - JJ cord-313991-u2rkn5uh 193 14 wave wave JJ cord-313991-u2rkn5uh 193 15 criterion criterion NN cord-313991-u2rkn5uh 193 16 in in IN cord-313991-u2rkn5uh 193 17 Finally finally RB cord-313991-u2rkn5uh 193 18 , , , cord-313991-u2rkn5uh 193 19 note note VB cord-313991-u2rkn5uh 193 20 that that IN cord-313991-u2rkn5uh 193 21 the the DT cord-313991-u2rkn5uh 193 22 two two CD cord-313991-u2rkn5uh 193 23 - - HYPH cord-313991-u2rkn5uh 193 24 component component NN cord-313991-u2rkn5uh 193 25 model model NN cord-313991-u2rkn5uh 193 26 ignores ignore VBZ cord-313991-u2rkn5uh 193 27 the the DT cord-313991-u2rkn5uh 193 28 spatial spatial JJ cord-313991-u2rkn5uh 193 29 heterogeneity heterogeneity NN cord-313991-u2rkn5uh 193 30 of of IN cord-313991-u2rkn5uh 193 31 population population NN cord-313991-u2rkn5uh 193 32 density density NN cord-313991-u2rkn5uh 193 33 . . . cord-313991-u2rkn5uh 194 1 This this DT cord-313991-u2rkn5uh 194 2 circumstance circumstance NN cord-313991-u2rkn5uh 194 3 is be VBZ cord-313991-u2rkn5uh 194 4 important important JJ cord-313991-u2rkn5uh 194 5 for for IN cord-313991-u2rkn5uh 194 6 countries country NNS cord-313991-u2rkn5uh 194 7 with with IN cord-313991-u2rkn5uh 194 8 a a DT cord-313991-u2rkn5uh 194 9 large large JJ cord-313991-u2rkn5uh 194 10 territory territory NN cord-313991-u2rkn5uh 194 11 and and CC cord-313991-u2rkn5uh 194 12 an an DT cord-313991-u2rkn5uh 194 13 extensive extensive JJ cord-313991-u2rkn5uh 194 14 system system NN cord-313991-u2rkn5uh 194 15 of of IN cord-313991-u2rkn5uh 194 16 regions region NNS cord-313991-u2rkn5uh 194 17 and and CC cord-313991-u2rkn5uh 194 18 megalopolises megalopolis NNS cord-313991-u2rkn5uh 194 19 ( ( -LRB- cord-313991-u2rkn5uh 194 20 Russia Russia NNP cord-313991-u2rkn5uh 194 21 , , , cord-313991-u2rkn5uh 194 22 USA USA NNP cord-313991-u2rkn5uh 194 23 ) ) -RRB- cord-313991-u2rkn5uh 194 24 . . . cord-313991-u2rkn5uh 195 1 For for IN cord-313991-u2rkn5uh 195 2 such such JJ cord-313991-u2rkn5uh 195 3 countries country NNS cord-313991-u2rkn5uh 195 4 , , , cord-313991-u2rkn5uh 195 5 the the DT cord-313991-u2rkn5uh 195 6 epidemic epidemic NN cord-313991-u2rkn5uh 195 7 acquires acquire VBZ cord-313991-u2rkn5uh 195 8 a a DT cord-313991-u2rkn5uh 195 9 multifocal multifocal JJ cord-313991-u2rkn5uh 195 10 character character NN cord-313991-u2rkn5uh 195 11 , , , cord-313991-u2rkn5uh 195 12 and and CC cord-313991-u2rkn5uh 195 13 its -PRON- PRP$ cord-313991-u2rkn5uh 195 14 spread spread NN cord-313991-u2rkn5uh 195 15 to to IN cord-313991-u2rkn5uh 195 16 the the DT cord-313991-u2rkn5uh 195 17 entire entire JJ cord-313991-u2rkn5uh 195 18 territory territory NN cord-313991-u2rkn5uh 195 19 of of IN cord-313991-u2rkn5uh 195 20 the the DT cord-313991-u2rkn5uh 195 21 country country NN cord-313991-u2rkn5uh 195 22 takes take VBZ cord-313991-u2rkn5uh 195 23 a a DT cord-313991-u2rkn5uh 195 24 longer long JJR cord-313991-u2rkn5uh 195 25 time time NN cord-313991-u2rkn5uh 195 26 . . . cord-313991-u2rkn5uh 196 1 Taking take VBG cord-313991-u2rkn5uh 196 2 this this DT cord-313991-u2rkn5uh 196 3 circumstance circumstance NN cord-313991-u2rkn5uh 196 4 into into IN cord-313991-u2rkn5uh 196 5 account account NN cord-313991-u2rkn5uh 196 6 requires require VBZ cord-313991-u2rkn5uh 196 7 considering consider VBG cord-313991-u2rkn5uh 196 8 the the DT cord-313991-u2rkn5uh 196 9 spatial spatial JJ cord-313991-u2rkn5uh 196 10 distribution distribution NN cord-313991-u2rkn5uh 196 11 and and CC cord-313991-u2rkn5uh 196 12 corresponding correspond VBG cord-313991-u2rkn5uh 196 13 modification modification NN cord-313991-u2rkn5uh 196 14 of of IN cord-313991-u2rkn5uh 196 15 the the DT cord-313991-u2rkn5uh 196 16 model model NN cord-313991-u2rkn5uh 196 17 in in IN cord-313991-u2rkn5uh 196 18 the the DT cord-313991-u2rkn5uh 196 19 spirit spirit NN cord-313991-u2rkn5uh 196 20 of of IN cord-313991-u2rkn5uh 196 21 [ [ -LRB- cord-313991-u2rkn5uh 196 22 2 2 CD cord-313991-u2rkn5uh 196 23 ] ] -RRB- cord-313991-u2rkn5uh 196 24 . . . cord-313991-u2rkn5uh 196 25 _SP cord-313991-u2rkn5uh 197 1 Superspreading superspreade VBG cord-313991-u2rkn5uh 197 2 as as IN cord-313991-u2rkn5uh 197 3 a a DT cord-313991-u2rkn5uh 197 4 regular regular JJ cord-313991-u2rkn5uh 197 5 factor factor NN cord-313991-u2rkn5uh 197 6 of of IN cord-313991-u2rkn5uh 197 7 the the DT cord-313991-u2rkn5uh 197 8 COVID-19 COVID-19 NNP cord-313991-u2rkn5uh 197 9 pandemic pandemic NN cord-313991-u2rkn5uh 197 10 : : : cord-313991-u2rkn5uh 198 1 I. I. NNP cord-313991-u2rkn5uh 198 2 A a DT cord-313991-u2rkn5uh 198 3 two two CD cord-313991-u2rkn5uh 198 4 - - HYPH cord-313991-u2rkn5uh 198 5 component component NN cord-313991-u2rkn5uh 198 6 model model NN cord-313991-u2rkn5uh 198 7 Spatial Spatial NNP cord-313991-u2rkn5uh 198 8 Models Models NNPS cord-313991-u2rkn5uh 198 9 and and CC cord-313991-u2rkn5uh 198 10 Biomedical Biomedical NNP cord-313991-u2rkn5uh 198 11 Applications Applications NNPS cord-313991-u2rkn5uh 199 1 I -PRON- PRP cord-313991-u2rkn5uh 199 2 am be VBP cord-313991-u2rkn5uh 199 3 deeply deeply RB cord-313991-u2rkn5uh 199 4 indebted indebted JJ cord-313991-u2rkn5uh 199 5 to to IN cord-313991-u2rkn5uh 199 6 Prof. Prof. NNP cord-313991-u2rkn5uh 199 7 Mykola Mykola NNP cord-313991-u2rkn5uh 199 8 Iabluchanskiy Iabluchanskiy NNP cord-313991-u2rkn5uh 199 9 and and CC cord-313991-u2rkn5uh 199 10 Dr. Dr. NNP cord-313991-u2rkn5uh 199 11 Vladimir Vladimir NNP cord-313991-u2rkn5uh 199 12 Shlyachover Shlyachover NNP cord-313991-u2rkn5uh 199 13 for for IN cord-313991-u2rkn5uh 199 14 valuable valuable JJ cord-313991-u2rkn5uh 199 15 remarks remark NNS cord-313991-u2rkn5uh 199 16 and and CC cord-313991-u2rkn5uh 199 17 discussions discussion NNS cord-313991-u2rkn5uh 199 18 , , , cord-313991-u2rkn5uh 199 19 and and CC cord-313991-u2rkn5uh 199 20 to to IN cord-313991-u2rkn5uh 199 21 Dr. Dr. NNP cord-313991-u2rkn5uh 199 22 Daniel Daniel NNP cord-313991-u2rkn5uh 199 23 Genin Genin NNP cord-313991-u2rkn5uh 199 24 for for IN cord-313991-u2rkn5uh 199 25 help help NN cord-313991-u2rkn5uh 199 26 in in IN cord-313991-u2rkn5uh 199 27 use use NN cord-313991-u2rkn5uh 199 28 of of IN cord-313991-u2rkn5uh 199 29 Mathematika Mathematika NNP cord-313991-u2rkn5uh 199 30 tools tool NNS cord-313991-u2rkn5uh 199 31 . . . cord-313991-u2rkn5uh 200 1 I -PRON- PRP cord-313991-u2rkn5uh 200 2 express express VBP cord-313991-u2rkn5uh 200 3 my -PRON- PRP$ cord-313991-u2rkn5uh 200 4 gratitude gratitude NN cord-313991-u2rkn5uh 200 5 to to IN cord-313991-u2rkn5uh 200 6 Dr. Dr. NNP cord-313991-u2rkn5uh 200 7 Matteo Matteo NNP cord-313991-u2rkn5uh 200 8 Ferensby Ferensby NNP cord-313991-u2rkn5uh 200 9 and and CC cord-313991-u2rkn5uh 200 10 to to IN cord-313991-u2rkn5uh 200 11 Dr. Dr. NNP cord-313991-u2rkn5uh 200 12 Giovani Giovani NNP cord-313991-u2rkn5uh 200 13 Vasconcelos Vasconcelos NNP cord-313991-u2rkn5uh 200 14 for for IN cord-313991-u2rkn5uh 200 15 fruitful fruitful JJ cord-313991-u2rkn5uh 200 16 discussion discussion NN cord-313991-u2rkn5uh 200 17 of of IN cord-313991-u2rkn5uh 200 18 the the DT cord-313991-u2rkn5uh 200 19 results result NNS cord-313991-u2rkn5uh 200 20 . . .