id sid tid token lemma pos cord-304820-q3de7r1p 1 1 key key JJ cord-304820-q3de7r1p 1 2 : : : cord-304820-q3de7r1p 1 3 cord-304820-q3de7r1p cord-304820-q3de7r1p NN cord-304820-q3de7r1p 1 4 authors author NNS cord-304820-q3de7r1p 1 5 : : : cord-304820-q3de7r1p 1 6 Griette Griette NNP cord-304820-q3de7r1p 1 7 , , , cord-304820-q3de7r1p 1 8 P. P. NNP cord-304820-q3de7r1p 1 9 ; ; : cord-304820-q3de7r1p 1 10 Magal Magal NNP cord-304820-q3de7r1p 1 11 , , , cord-304820-q3de7r1p 1 12 P. P. NNP cord-304820-q3de7r1p 1 13 title title NN cord-304820-q3de7r1p 1 14 : : : cord-304820-q3de7r1p 2 1 Clarifying clarify VBG cord-304820-q3de7r1p 2 2 predictions prediction NNS cord-304820-q3de7r1p 2 3 for for IN cord-304820-q3de7r1p 2 4 COVID-19 COVID-19 NNP cord-304820-q3de7r1p 2 5 from from IN cord-304820-q3de7r1p 2 6 testing test VBG cord-304820-q3de7r1p 2 7 data datum NNS cord-304820-q3de7r1p 2 8 : : : cord-304820-q3de7r1p 2 9 the the DT cord-304820-q3de7r1p 2 10 example example NN cord-304820-q3de7r1p 2 11 of of IN cord-304820-q3de7r1p 2 12 New New NNP cord-304820-q3de7r1p 2 13 - - HYPH cord-304820-q3de7r1p 2 14 York York NNP cord-304820-q3de7r1p 2 15 State State NNP cord-304820-q3de7r1p 2 16 date date NN cord-304820-q3de7r1p 2 17 : : : cord-304820-q3de7r1p 2 18 2020 2020 CD cord-304820-q3de7r1p 2 19 - - SYM cord-304820-q3de7r1p 2 20 10 10 CD cord-304820-q3de7r1p 2 21 - - SYM cord-304820-q3de7r1p 2 22 12 12 CD cord-304820-q3de7r1p 2 23 journal journal NN cord-304820-q3de7r1p 2 24 : : : cord-304820-q3de7r1p 2 25 nan nan NNP cord-304820-q3de7r1p 2 26 DOI DOI NNP cord-304820-q3de7r1p 2 27 : : : cord-304820-q3de7r1p 3 1 10.1101/2020.10.10.20203034 10.1101/2020.10.10.20203034 LS cord-304820-q3de7r1p 4 1 sha sha NNP cord-304820-q3de7r1p 4 2 : : : cord-304820-q3de7r1p 5 1 559813db2187f1738f35ca070cf9ef27c408dd75 559813db2187f1738f35ca070cf9ef27c408dd75 CD cord-304820-q3de7r1p 5 2 doc_id doc_id CD cord-304820-q3de7r1p 5 3 : : : cord-304820-q3de7r1p 5 4 304820 304820 CD cord-304820-q3de7r1p 5 5 cord_uid cord_uid NNS cord-304820-q3de7r1p 5 6 : : : cord-304820-q3de7r1p 6 1 q3de7r1p q3de7r1p NNS cord-304820-q3de7r1p 6 2 In in IN cord-304820-q3de7r1p 6 3 this this DT cord-304820-q3de7r1p 6 4 article article NN cord-304820-q3de7r1p 6 5 , , , cord-304820-q3de7r1p 6 6 we -PRON- PRP cord-304820-q3de7r1p 6 7 use use VBP cord-304820-q3de7r1p 6 8 testing test VBG cord-304820-q3de7r1p 6 9 data datum NNS cord-304820-q3de7r1p 6 10 as as IN cord-304820-q3de7r1p 6 11 an an DT cord-304820-q3de7r1p 6 12 input input NN cord-304820-q3de7r1p 6 13 of of IN cord-304820-q3de7r1p 6 14 a a DT cord-304820-q3de7r1p 6 15 new new JJ cord-304820-q3de7r1p 6 16 epidemic epidemic NN cord-304820-q3de7r1p 6 17 model model NN cord-304820-q3de7r1p 6 18 . . . cord-304820-q3de7r1p 7 1 We -PRON- PRP cord-304820-q3de7r1p 7 2 get get VBP cord-304820-q3de7r1p 7 3 nice nice JJ cord-304820-q3de7r1p 7 4 a a DT cord-304820-q3de7r1p 7 5 concordance concordance NN cord-304820-q3de7r1p 7 6 between between IN cord-304820-q3de7r1p 7 7 the the DT cord-304820-q3de7r1p 7 8 best good JJS cord-304820-q3de7r1p 7 9 fit fit VB cord-304820-q3de7r1p 7 10 the the DT cord-304820-q3de7r1p 7 11 model model NN cord-304820-q3de7r1p 7 12 to to IN cord-304820-q3de7r1p 7 13 the the DT cord-304820-q3de7r1p 7 14 reported report VBN cord-304820-q3de7r1p 7 15 cases case NNS cord-304820-q3de7r1p 7 16 data datum NNS cord-304820-q3de7r1p 7 17 for for IN cord-304820-q3de7r1p 7 18 New New NNP cord-304820-q3de7r1p 7 19 - - HYPH cord-304820-q3de7r1p 7 20 York York NNP cord-304820-q3de7r1p 7 21 state state NN cord-304820-q3de7r1p 7 22 . . . cord-304820-q3de7r1p 8 1 We -PRON- PRP cord-304820-q3de7r1p 8 2 also also RB cord-304820-q3de7r1p 8 3 get get VBP cord-304820-q3de7r1p 8 4 a a DT cord-304820-q3de7r1p 8 5 good good JJ cord-304820-q3de7r1p 8 6 concordance concordance NN cord-304820-q3de7r1p 8 7 of of IN cord-304820-q3de7r1p 8 8 the the DT cord-304820-q3de7r1p 8 9 testing testing NN cord-304820-q3de7r1p 8 10 dynamic dynamic JJ cord-304820-q3de7r1p 8 11 and and CC cord-304820-q3de7r1p 8 12 the the DT cord-304820-q3de7r1p 8 13 epidemic epidemic NN cord-304820-q3de7r1p 8 14 's 's POS cord-304820-q3de7r1p 8 15 dynamic dynamic JJ cord-304820-q3de7r1p 8 16 in in IN cord-304820-q3de7r1p 8 17 the the DT cord-304820-q3de7r1p 8 18 cumulative cumulative JJ cord-304820-q3de7r1p 8 19 cases case NNS cord-304820-q3de7r1p 8 20 . . . cord-304820-q3de7r1p 9 1 Finally finally RB cord-304820-q3de7r1p 9 2 , , , cord-304820-q3de7r1p 9 3 we -PRON- PRP cord-304820-q3de7r1p 9 4 can can MD cord-304820-q3de7r1p 9 5 investigate investigate VB cord-304820-q3de7r1p 9 6 the the DT cord-304820-q3de7r1p 9 7 effect effect NN cord-304820-q3de7r1p 9 8 of of IN cord-304820-q3de7r1p 9 9 multiplying multiply VBG cord-304820-q3de7r1p 9 10 the the DT cord-304820-q3de7r1p 9 11 number number NN cord-304820-q3de7r1p 9 12 of of IN cord-304820-q3de7r1p 9 13 tests test NNS cord-304820-q3de7r1p 9 14 by by IN cord-304820-q3de7r1p 9 15 2 2 CD cord-304820-q3de7r1p 9 16 , , , cord-304820-q3de7r1p 9 17 5 5 CD cord-304820-q3de7r1p 9 18 , , , cord-304820-q3de7r1p 9 19 10 10 CD cord-304820-q3de7r1p 9 20 , , , cord-304820-q3de7r1p 9 21 and and CC cord-304820-q3de7r1p 9 22 100 100 CD cord-304820-q3de7r1p 9 23 to to TO cord-304820-q3de7r1p 9 24 investigate investigate VB cord-304820-q3de7r1p 9 25 the the DT cord-304820-q3de7r1p 9 26 consequences consequence NNS cord-304820-q3de7r1p 9 27 on on IN cord-304820-q3de7r1p 9 28 the the DT cord-304820-q3de7r1p 9 29 reduction reduction NN cord-304820-q3de7r1p 9 30 of of IN cord-304820-q3de7r1p 9 31 the the DT cord-304820-q3de7r1p 9 32 number number NN cord-304820-q3de7r1p 9 33 of of IN cord-304820-q3de7r1p 9 34 reported report VBN cord-304820-q3de7r1p 9 35 cases case NNS cord-304820-q3de7r1p 9 36 . . . cord-304820-q3de7r1p 10 1 The the DT cord-304820-q3de7r1p 10 2 epidemic epidemic NN cord-304820-q3de7r1p 10 3 of of IN cord-304820-q3de7r1p 10 4 novel novel JJ cord-304820-q3de7r1p 10 5 coronavirus coronavirus NN cord-304820-q3de7r1p 10 6 infections infection NNS cord-304820-q3de7r1p 10 7 began begin VBD cord-304820-q3de7r1p 10 8 in in IN cord-304820-q3de7r1p 10 9 China China NNP cord-304820-q3de7r1p 10 10 in in IN cord-304820-q3de7r1p 10 11 December December NNP cord-304820-q3de7r1p 10 12 2019 2019 CD cord-304820-q3de7r1p 10 13 and and CC cord-304820-q3de7r1p 10 14 rapidly rapidly RB cord-304820-q3de7r1p 10 15 spread spread VBN cord-304820-q3de7r1p 10 16 worldwide worldwide RB cord-304820-q3de7r1p 10 17 in in IN cord-304820-q3de7r1p 10 18 2020 2020 CD cord-304820-q3de7r1p 10 19 . . . cord-304820-q3de7r1p 11 1 Since since IN cord-304820-q3de7r1p 11 2 the the DT cord-304820-q3de7r1p 11 3 early early JJ cord-304820-q3de7r1p 11 4 beginning beginning NN cord-304820-q3de7r1p 11 5 of of IN cord-304820-q3de7r1p 11 6 the the DT cord-304820-q3de7r1p 11 7 epidemic epidemic NN cord-304820-q3de7r1p 11 8 , , , cord-304820-q3de7r1p 11 9 mathematicians mathematician NNS cord-304820-q3de7r1p 11 10 and and CC cord-304820-q3de7r1p 11 11 epidemiologists epidemiologist NNS cord-304820-q3de7r1p 11 12 have have VBP cord-304820-q3de7r1p 11 13 developed develop VBN cord-304820-q3de7r1p 11 14 models model NNS cord-304820-q3de7r1p 11 15 to to TO cord-304820-q3de7r1p 11 16 analyze analyze VB cord-304820-q3de7r1p 11 17 the the DT cord-304820-q3de7r1p 11 18 data datum NNS cord-304820-q3de7r1p 11 19 and and CC cord-304820-q3de7r1p 11 20 characterize characterize VB cord-304820-q3de7r1p 11 21 the the DT cord-304820-q3de7r1p 11 22 spread spread NN cord-304820-q3de7r1p 11 23 of of IN cord-304820-q3de7r1p 11 24 the the DT cord-304820-q3de7r1p 11 25 virus virus NN cord-304820-q3de7r1p 11 26 , , , cord-304820-q3de7r1p 11 27 and and CC cord-304820-q3de7r1p 11 28 attempt attempt VB cord-304820-q3de7r1p 11 29 to to TO cord-304820-q3de7r1p 11 30 project project VB cord-304820-q3de7r1p 11 31 the the DT cord-304820-q3de7r1p 11 32 future future JJ cord-304820-q3de7r1p 11 33 evolution evolution NN cord-304820-q3de7r1p 11 34 of of IN cord-304820-q3de7r1p 11 35 the the DT cord-304820-q3de7r1p 11 36 epidemic epidemic NN cord-304820-q3de7r1p 11 37 . . . cord-304820-q3de7r1p 12 1 Many many JJ cord-304820-q3de7r1p 12 2 of of IN cord-304820-q3de7r1p 12 3 those those DT cord-304820-q3de7r1p 12 4 models model NNS cord-304820-q3de7r1p 12 5 are be VBP cord-304820-q3de7r1p 12 6 based base VBN cord-304820-q3de7r1p 12 7 on on IN cord-304820-q3de7r1p 12 8 the the DT cord-304820-q3de7r1p 12 9 SIR SIR NNP cord-304820-q3de7r1p 12 10 or or CC cord-304820-q3de7r1p 12 11 SEIR SEIR NNP cord-304820-q3de7r1p 12 12 model model NN cord-304820-q3de7r1p 12 13 which which WDT cord-304820-q3de7r1p 12 14 is be VBZ cord-304820-q3de7r1p 12 15 classical classical JJ cord-304820-q3de7r1p 12 16 in in IN cord-304820-q3de7r1p 12 17 the the DT cord-304820-q3de7r1p 12 18 context context NN cord-304820-q3de7r1p 12 19 of of IN cord-304820-q3de7r1p 12 20 epidemics epidemic NNS cord-304820-q3de7r1p 12 21 . . . cord-304820-q3de7r1p 13 1 We -PRON- PRP cord-304820-q3de7r1p 13 2 refer refer VBP cord-304820-q3de7r1p 13 3 to to IN cord-304820-q3de7r1p 13 4 [ [ -LRB- cord-304820-q3de7r1p 13 5 26 26 CD cord-304820-q3de7r1p 13 6 , , , cord-304820-q3de7r1p 13 7 28 28 CD cord-304820-q3de7r1p 13 8 ] ] -RRB- cord-304820-q3de7r1p 13 9 for for IN cord-304820-q3de7r1p 13 10 the the DT cord-304820-q3de7r1p 13 11 earliest early JJS cord-304820-q3de7r1p 13 12 article article NN cord-304820-q3de7r1p 13 13 devoted devote VBN cord-304820-q3de7r1p 13 14 to to IN cord-304820-q3de7r1p 13 15 such such PDT cord-304820-q3de7r1p 13 16 a a DT cord-304820-q3de7r1p 13 17 question question NN cord-304820-q3de7r1p 13 18 and and CC cord-304820-q3de7r1p 13 19 we -PRON- PRP cord-304820-q3de7r1p 13 20 refer refer VBP cord-304820-q3de7r1p 13 21 to to IN cord-304820-q3de7r1p 13 22 [ [ -LRB- cord-304820-q3de7r1p 13 23 1 1 CD cord-304820-q3de7r1p 13 24 , , , cord-304820-q3de7r1p 13 25 3 3 CD cord-304820-q3de7r1p 13 26 - - SYM cord-304820-q3de7r1p 13 27 7 7 CD cord-304820-q3de7r1p 13 28 , , , cord-304820-q3de7r1p 13 29 10 10 CD cord-304820-q3de7r1p 13 30 , , , cord-304820-q3de7r1p 13 31 12 12 CD cord-304820-q3de7r1p 13 32 , , , cord-304820-q3de7r1p 13 33 13 13 CD cord-304820-q3de7r1p 13 34 , , , cord-304820-q3de7r1p 13 35 20 20 CD cord-304820-q3de7r1p 13 36 , , , cord-304820-q3de7r1p 13 37 25 25 CD cord-304820-q3de7r1p 13 38 ] ] -RRB- cord-304820-q3de7r1p 13 39 for for IN cord-304820-q3de7r1p 13 40 a a DT cord-304820-q3de7r1p 13 41 rather rather RB cord-304820-q3de7r1p 13 42 complete complete JJ cord-304820-q3de7r1p 13 43 overview overview NN cord-304820-q3de7r1p 13 44 on on IN cord-304820-q3de7r1p 13 45 SIR SIR NNP cord-304820-q3de7r1p 13 46 and and CC cord-304820-q3de7r1p 13 47 SEIR SEIR NNP cord-304820-q3de7r1p 13 48 models model NNS cord-304820-q3de7r1p 13 49 in in IN cord-304820-q3de7r1p 13 50 general general JJ cord-304820-q3de7r1p 13 51 . . . cord-304820-q3de7r1p 14 1 In in IN cord-304820-q3de7r1p 14 2 the the DT cord-304820-q3de7r1p 14 3 course course NN cord-304820-q3de7r1p 14 4 of of IN cord-304820-q3de7r1p 14 5 the the DT cord-304820-q3de7r1p 14 6 COVID-19 covid-19 JJ cord-304820-q3de7r1p 14 7 outbreak outbreak NN cord-304820-q3de7r1p 14 8 , , , cord-304820-q3de7r1p 14 9 it -PRON- PRP cord-304820-q3de7r1p 14 10 became become VBD cord-304820-q3de7r1p 14 11 clear clear JJ cord-304820-q3de7r1p 14 12 for for IN cord-304820-q3de7r1p 14 13 the the DT cord-304820-q3de7r1p 14 14 scientific scientific JJ cord-304820-q3de7r1p 14 15 community community NN cord-304820-q3de7r1p 14 16 that that WDT cord-304820-q3de7r1p 14 17 covert covert JJ cord-304820-q3de7r1p 14 18 cases case NNS cord-304820-q3de7r1p 14 19 ( ( -LRB- cord-304820-q3de7r1p 14 20 asymptomatic asymptomatic JJ cord-304820-q3de7r1p 14 21 or or CC cord-304820-q3de7r1p 14 22 unreported unreported JJ cord-304820-q3de7r1p 14 23 infectious infectious JJ cord-304820-q3de7r1p 14 24 case case NN cord-304820-q3de7r1p 14 25 ) ) -RRB- cord-304820-q3de7r1p 14 26 play play VB cord-304820-q3de7r1p 14 27 an an DT cord-304820-q3de7r1p 14 28 important important JJ cord-304820-q3de7r1p 14 29 role role NN cord-304820-q3de7r1p 14 30 . . . cord-304820-q3de7r1p 15 1 An an DT cord-304820-q3de7r1p 15 2 early early JJ cord-304820-q3de7r1p 15 3 description description NN cord-304820-q3de7r1p 15 4 of of IN cord-304820-q3de7r1p 15 5 an an DT cord-304820-q3de7r1p 15 6 asymptomatic asymptomatic JJ cord-304820-q3de7r1p 15 7 transmission transmission NN cord-304820-q3de7r1p 15 8 in in IN cord-304820-q3de7r1p 15 9 Germany Germany NNP cord-304820-q3de7r1p 15 10 was be VBD cord-304820-q3de7r1p 15 11 reported report VBN cord-304820-q3de7r1p 15 12 by by IN cord-304820-q3de7r1p 15 13 Rothe Rothe NNP cord-304820-q3de7r1p 15 14 et et FW cord-304820-q3de7r1p 15 15 al al NNP cord-304820-q3de7r1p 15 16 . . . cord-304820-q3de7r1p 16 1 [ [ -LRB- cord-304820-q3de7r1p 16 2 24 24 CD cord-304820-q3de7r1p 16 3 ] ] -RRB- cord-304820-q3de7r1p 16 4 . . . cord-304820-q3de7r1p 17 1 It -PRON- PRP cord-304820-q3de7r1p 17 2 was be VBD cord-304820-q3de7r1p 17 3 also also RB cord-304820-q3de7r1p 17 4 observed observe VBN cord-304820-q3de7r1p 17 5 on on IN cord-304820-q3de7r1p 17 6 the the DT cord-304820-q3de7r1p 17 7 Diamond Diamond NNP cord-304820-q3de7r1p 17 8 Princess Princess NNP cord-304820-q3de7r1p 17 9 cruise cruise NN cord-304820-q3de7r1p 17 10 ship ship NN cord-304820-q3de7r1p 17 11 in in IN cord-304820-q3de7r1p 17 12 Yokohama Yokohama NNP cord-304820-q3de7r1p 17 13 in in IN cord-304820-q3de7r1p 17 14 Japan Japan NNP cord-304820-q3de7r1p 17 15 by by IN cord-304820-q3de7r1p 17 16 Mizumoto Mizumoto NNP cord-304820-q3de7r1p 17 17 et et NNP cord-304820-q3de7r1p 17 18 al al NNP cord-304820-q3de7r1p 17 19 . . . cord-304820-q3de7r1p 18 1 [ [ -LRB- cord-304820-q3de7r1p 18 2 19 19 CD cord-304820-q3de7r1p 18 3 ] ] -RRB- cord-304820-q3de7r1p 18 4 that that IN cord-304820-q3de7r1p 18 5 many many JJ cord-304820-q3de7r1p 18 6 of of IN cord-304820-q3de7r1p 18 7 the the DT cord-304820-q3de7r1p 18 8 passengers passenger NNS cord-304820-q3de7r1p 18 9 were be VBD cord-304820-q3de7r1p 18 10 tested test VBN cord-304820-q3de7r1p 18 11 positive positive JJ cord-304820-q3de7r1p 18 12 to to IN cord-304820-q3de7r1p 18 13 the the DT cord-304820-q3de7r1p 18 14 virus virus NN cord-304820-q3de7r1p 18 15 , , , cord-304820-q3de7r1p 18 16 but but CC cord-304820-q3de7r1p 18 17 never never RB cord-304820-q3de7r1p 18 18 presented present VBD cord-304820-q3de7r1p 18 19 any any DT cord-304820-q3de7r1p 18 20 symptoms symptom NNS cord-304820-q3de7r1p 18 21 . . . cord-304820-q3de7r1p 19 1 We -PRON- PRP cord-304820-q3de7r1p 19 2 also also RB cord-304820-q3de7r1p 19 3 refer refer VBP cord-304820-q3de7r1p 19 4 to to IN cord-304820-q3de7r1p 19 5 Qiu Qiu NNP cord-304820-q3de7r1p 19 6 [ [ -LRB- cord-304820-q3de7r1p 19 7 21 21 CD cord-304820-q3de7r1p 19 8 ] ] -RRB- cord-304820-q3de7r1p 19 9 for for IN cord-304820-q3de7r1p 19 10 more more JJR cord-304820-q3de7r1p 19 11 information information NN cord-304820-q3de7r1p 19 12 about about IN cord-304820-q3de7r1p 19 13 this this DT cord-304820-q3de7r1p 19 14 problem problem NN cord-304820-q3de7r1p 19 15 . . . cord-304820-q3de7r1p 20 1 At at IN cord-304820-q3de7r1p 20 2 the the DT cord-304820-q3de7r1p 20 3 early early JJ cord-304820-q3de7r1p 20 4 stage stage NN cord-304820-q3de7r1p 20 5 of of IN cord-304820-q3de7r1p 20 6 the the DT cord-304820-q3de7r1p 20 7 COVID-19 COVID-19 NNP cord-304820-q3de7r1p 20 8 outbreak outbreak NN cord-304820-q3de7r1p 20 9 , , , cord-304820-q3de7r1p 20 10 a a DT cord-304820-q3de7r1p 20 11 new new JJ cord-304820-q3de7r1p 20 12 class class NN cord-304820-q3de7r1p 20 13 of of IN cord-304820-q3de7r1p 20 14 epidemic epidemic NN cord-304820-q3de7r1p 20 15 models model NNS cord-304820-q3de7r1p 20 16 was be VBD cord-304820-q3de7r1p 20 17 proposed propose VBN cord-304820-q3de7r1p 20 18 in in IN cord-304820-q3de7r1p 20 19 Liu Liu NNP cord-304820-q3de7r1p 20 20 et et NNP cord-304820-q3de7r1p 20 21 al al NNP cord-304820-q3de7r1p 20 22 . . . cord-304820-q3de7r1p 21 1 [ [ -LRB- cord-304820-q3de7r1p 21 2 14 14 CD cord-304820-q3de7r1p 21 3 ] ] -RRB- cord-304820-q3de7r1p 21 4 to to TO cord-304820-q3de7r1p 21 5 take take VB cord-304820-q3de7r1p 21 6 into into IN cord-304820-q3de7r1p 21 7 account account NN cord-304820-q3de7r1p 21 8 the the DT cord-304820-q3de7r1p 21 9 contamination contamination NN cord-304820-q3de7r1p 21 10 of of IN cord-304820-q3de7r1p 21 11 susceptible susceptible JJ cord-304820-q3de7r1p 21 12 individuals individual NNS cord-304820-q3de7r1p 21 13 by by IN cord-304820-q3de7r1p 21 14 contact contact NN cord-304820-q3de7r1p 21 15 with with IN cord-304820-q3de7r1p 21 16 unreported unreported JJ cord-304820-q3de7r1p 21 17 infectious infectious JJ cord-304820-q3de7r1p 21 18 . . . cord-304820-q3de7r1p 22 1 Actually actually RB cord-304820-q3de7r1p 22 2 , , , cord-304820-q3de7r1p 22 3 this this DT cord-304820-q3de7r1p 22 4 class class NN cord-304820-q3de7r1p 22 5 of of IN cord-304820-q3de7r1p 22 6 model model NN cord-304820-q3de7r1p 22 7 was be VBD cord-304820-q3de7r1p 22 8 presented present VBN cord-304820-q3de7r1p 22 9 earlier early RBR cord-304820-q3de7r1p 22 10 in in IN cord-304820-q3de7r1p 22 11 Arino Arino NNP cord-304820-q3de7r1p 22 12 et et FW cord-304820-q3de7r1p 22 13 al al NNP cord-304820-q3de7r1p 22 14 . . . cord-304820-q3de7r1p 23 1 [ [ -LRB- cord-304820-q3de7r1p 23 2 2 2 CD cord-304820-q3de7r1p 23 3 ] ] -RRB- cord-304820-q3de7r1p 23 4 . . . cord-304820-q3de7r1p 24 1 In in IN cord-304820-q3de7r1p 24 2 [ [ -LRB- cord-304820-q3de7r1p 24 3 14 14 CD cord-304820-q3de7r1p 24 4 ] ] -RRB- cord-304820-q3de7r1p 24 5 a a DT cord-304820-q3de7r1p 24 6 new new JJ cord-304820-q3de7r1p 24 7 method method NN cord-304820-q3de7r1p 24 8 to to TO cord-304820-q3de7r1p 24 9 use use VB cord-304820-q3de7r1p 24 10 the the DT cord-304820-q3de7r1p 24 11 number number NN cord-304820-q3de7r1p 24 12 of of IN cord-304820-q3de7r1p 24 13 reported report VBN cord-304820-q3de7r1p 24 14 in in IN cord-304820-q3de7r1p 24 15 SIR SIR NNP cord-304820-q3de7r1p 24 16 models model NNS cord-304820-q3de7r1p 24 17 was be VBD cord-304820-q3de7r1p 24 18 also also RB cord-304820-q3de7r1p 24 19 proposed propose VBN cord-304820-q3de7r1p 24 20 . . . cord-304820-q3de7r1p 25 1 This this DT cord-304820-q3de7r1p 25 2 method method NN cord-304820-q3de7r1p 25 3 and and CC cord-304820-q3de7r1p 25 4 model model NN cord-304820-q3de7r1p 25 5 was be VBD cord-304820-q3de7r1p 25 6 extended extend VBN cord-304820-q3de7r1p 25 7 in in IN cord-304820-q3de7r1p 25 8 several several JJ cord-304820-q3de7r1p 25 9 directions direction NNS cord-304820-q3de7r1p 25 10 by by IN cord-304820-q3de7r1p 25 11 the the DT cord-304820-q3de7r1p 25 12 same same JJ cord-304820-q3de7r1p 25 13 group group NN cord-304820-q3de7r1p 25 14 in in IN cord-304820-q3de7r1p 25 15 [ [ -LRB- cord-304820-q3de7r1p 25 16 15 15 CD cord-304820-q3de7r1p 25 17 ] ] -RRB- cord-304820-q3de7r1p 25 18 [ [ -LRB- cord-304820-q3de7r1p 25 19 16 16 CD cord-304820-q3de7r1p 25 20 ] ] -RRB- cord-304820-q3de7r1p 25 21 [ [ -LRB- cord-304820-q3de7r1p 25 22 17 17 CD cord-304820-q3de7r1p 25 23 ] ] -RRB- cord-304820-q3de7r1p 26 1 to to TO cord-304820-q3de7r1p 26 2 include include VB cord-304820-q3de7r1p 26 3 non non JJ cord-304820-q3de7r1p 26 4 - - JJ cord-304820-q3de7r1p 26 5 constant constant JJ cord-304820-q3de7r1p 26 6 transmission transmission NN cord-304820-q3de7r1p 26 7 rates rate NNS cord-304820-q3de7r1p 26 8 and and CC cord-304820-q3de7r1p 26 9 a a DT cord-304820-q3de7r1p 26 10 period period NN cord-304820-q3de7r1p 26 11 of of IN cord-304820-q3de7r1p 26 12 exposure exposure NN cord-304820-q3de7r1p 26 13 . . . cord-304820-q3de7r1p 27 1 More More JJR cord-304820-q3de7r1p 27 2 recently recently RB cord-304820-q3de7r1p 27 3 the the DT cord-304820-q3de7r1p 27 4 method method NN cord-304820-q3de7r1p 27 5 was be VBD cord-304820-q3de7r1p 27 6 extended extend VBN cord-304820-q3de7r1p 27 7 and and CC cord-304820-q3de7r1p 27 8 successfully successfully RB cord-304820-q3de7r1p 27 9 applied apply VBN cord-304820-q3de7r1p 27 10 to to IN cord-304820-q3de7r1p 27 11 a a DT cord-304820-q3de7r1p 27 12 Japanese japanese JJ cord-304820-q3de7r1p 27 13 age age NN cord-304820-q3de7r1p 27 14 - - HYPH cord-304820-q3de7r1p 27 15 structured structure VBN cord-304820-q3de7r1p 27 16 dataset dataset NN cord-304820-q3de7r1p 27 17 in in IN cord-304820-q3de7r1p 27 18 [ [ -LRB- cord-304820-q3de7r1p 27 19 11 11 CD cord-304820-q3de7r1p 27 20 ] ] -RRB- cord-304820-q3de7r1p 27 21 . . . cord-304820-q3de7r1p 28 1 The the DT cord-304820-q3de7r1p 28 2 method method NN cord-304820-q3de7r1p 28 3 was be VBD cord-304820-q3de7r1p 28 4 also also RB cord-304820-q3de7r1p 28 5 extended extend VBN cord-304820-q3de7r1p 28 6 to to TO cord-304820-q3de7r1p 28 7 investigate investigate VB cord-304820-q3de7r1p 28 8 the the DT cord-304820-q3de7r1p 28 9 predictability predictability NN cord-304820-q3de7r1p 28 10 of of IN cord-304820-q3de7r1p 28 11 the the DT cord-304820-q3de7r1p 28 12 outbreak outbreak NN cord-304820-q3de7r1p 28 13 in in IN cord-304820-q3de7r1p 28 14 several several JJ cord-304820-q3de7r1p 28 15 countries country NNS cord-304820-q3de7r1p 28 16 China China NNP cord-304820-q3de7r1p 28 17 , , , cord-304820-q3de7r1p 28 18 South South NNP cord-304820-q3de7r1p 28 19 Korea Korea NNP cord-304820-q3de7r1p 28 20 , , , cord-304820-q3de7r1p 28 21 Italy Italy NNP cord-304820-q3de7r1p 28 22 , , , cord-304820-q3de7r1p 28 23 France France NNP cord-304820-q3de7r1p 28 24 , , , cord-304820-q3de7r1p 28 25 Germany Germany NNP cord-304820-q3de7r1p 28 26 and and CC cord-304820-q3de7r1p 28 27 the the DT cord-304820-q3de7r1p 28 28 United United NNP cord-304820-q3de7r1p 28 29 Kingdom Kingdom NNP cord-304820-q3de7r1p 28 30 in in IN cord-304820-q3de7r1p 28 31 [ [ -LRB- cord-304820-q3de7r1p 28 32 18 18 CD cord-304820-q3de7r1p 28 33 ] ] -RRB- cord-304820-q3de7r1p 28 34 . . . cord-304820-q3de7r1p 29 1 The the DT cord-304820-q3de7r1p 29 2 application application NN cord-304820-q3de7r1p 29 3 of of IN cord-304820-q3de7r1p 29 4 the the DT cord-304820-q3de7r1p 29 5 Bayesian bayesian JJ cord-304820-q3de7r1p 29 6 method method NN cord-304820-q3de7r1p 29 7 was be VBD cord-304820-q3de7r1p 29 8 also also RB cord-304820-q3de7r1p 29 9 considered consider VBN cord-304820-q3de7r1p 29 10 in in IN cord-304820-q3de7r1p 29 11 [ [ -LRB- cord-304820-q3de7r1p 29 12 9 9 CD cord-304820-q3de7r1p 29 13 ] ] -RRB- cord-304820-q3de7r1p 29 14 . . . cord-304820-q3de7r1p 30 1 In in IN cord-304820-q3de7r1p 30 2 parallel parallel NN cord-304820-q3de7r1p 30 3 with with IN cord-304820-q3de7r1p 30 4 these these DT cord-304820-q3de7r1p 30 5 modeling modeling NN cord-304820-q3de7r1p 30 6 ideas idea NNS cord-304820-q3de7r1p 30 7 , , , cord-304820-q3de7r1p 30 8 Bayesian bayesian JJ cord-304820-q3de7r1p 30 9 methods method NNS cord-304820-q3de7r1p 30 10 have have VBP cord-304820-q3de7r1p 30 11 been be VBN cord-304820-q3de7r1p 30 12 widely widely RB cord-304820-q3de7r1p 30 13 used use VBN cord-304820-q3de7r1p 30 14 to to TO cord-304820-q3de7r1p 30 15 identify identify VB cord-304820-q3de7r1p 30 16 the the DT cord-304820-q3de7r1p 30 17 parameters parameter NNS cord-304820-q3de7r1p 30 18 in in IN cord-304820-q3de7r1p 30 19 the the DT cord-304820-q3de7r1p 30 20 models model NNS cord-304820-q3de7r1p 30 21 used use VBN cord-304820-q3de7r1p 30 22 for for IN cord-304820-q3de7r1p 30 23 the the DT cord-304820-q3de7r1p 30 24 COVID-19 COVID-19 NNP cord-304820-q3de7r1p 30 25 pandemic pandemic NN cord-304820-q3de7r1p 30 26 ( ( -LRB- cord-304820-q3de7r1p 30 27 see see VB cord-304820-q3de7r1p 30 28 e.g. e.g. JJ cord-304820-q3de7r1p 30 29 Roques Roques NNP cord-304820-q3de7r1p 30 30 et et NNP cord-304820-q3de7r1p 30 31 al al NNP cord-304820-q3de7r1p 30 32 . . . cord-304820-q3de7r1p 31 1 [ [ -LRB- cord-304820-q3de7r1p 31 2 22 22 CD cord-304820-q3de7r1p 31 3 , , , cord-304820-q3de7r1p 31 4 23 23 CD cord-304820-q3de7r1p 31 5 ] ] -RRB- cord-304820-q3de7r1p 31 6 where where WRB cord-304820-q3de7r1p 31 7 an an DT cord-304820-q3de7r1p 31 8 estimate estimate NN cord-304820-q3de7r1p 31 9 of of IN cord-304820-q3de7r1p 31 10 the the DT cord-304820-q3de7r1p 31 11 fatality fatality NN cord-304820-q3de7r1p 31 12 ratio ratio NN cord-304820-q3de7r1p 31 13 has have VBZ cord-304820-q3de7r1p 31 14 been be VBN cord-304820-q3de7r1p 31 15 developed develop VBN cord-304820-q3de7r1p 31 16 ) ) -RRB- cord-304820-q3de7r1p 31 17 . . . cord-304820-q3de7r1p 32 1 A a DT cord-304820-q3de7r1p 32 2 remarkable remarkable JJ cord-304820-q3de7r1p 32 3 feature feature NN cord-304820-q3de7r1p 32 4 of of IN cord-304820-q3de7r1p 32 5 those those DT cord-304820-q3de7r1p 32 6 methods method NNS cord-304820-q3de7r1p 32 7 is be VBZ cord-304820-q3de7r1p 32 8 to to TO cord-304820-q3de7r1p 32 9 provide provide VB cord-304820-q3de7r1p 32 10 mechanisms mechanism NNS cord-304820-q3de7r1p 32 11 to to TO cord-304820-q3de7r1p 32 12 correct correct VB cord-304820-q3de7r1p 32 13 some some DT cord-304820-q3de7r1p 32 14 of of IN cord-304820-q3de7r1p 32 15 the the DT cord-304820-q3de7r1p 32 16 known know VBN cord-304820-q3de7r1p 32 17 biases bias NNS cord-304820-q3de7r1p 32 18 in in IN cord-304820-q3de7r1p 32 19 the the DT cord-304820-q3de7r1p 32 20 observation observation NN cord-304820-q3de7r1p 32 21 of of IN cord-304820-q3de7r1p 32 22 cases case NNS cord-304820-q3de7r1p 32 23 , , , cord-304820-q3de7r1p 32 24 such such JJ cord-304820-q3de7r1p 32 25 as as IN cord-304820-q3de7r1p 32 26 the the DT cord-304820-q3de7r1p 32 27 daily daily JJ cord-304820-q3de7r1p 32 28 number number NN cord-304820-q3de7r1p 32 29 of of IN cord-304820-q3de7r1p 32 30 tests test NNS cord-304820-q3de7r1p 32 31 . . . cord-304820-q3de7r1p 33 1 Here here RB cord-304820-q3de7r1p 33 2 we -PRON- PRP cord-304820-q3de7r1p 33 3 will will MD cord-304820-q3de7r1p 33 4 embed embed VB cord-304820-q3de7r1p 33 5 the the DT cord-304820-q3de7r1p 33 6 data datum NNS cord-304820-q3de7r1p 33 7 for for IN cord-304820-q3de7r1p 33 8 the the DT cord-304820-q3de7r1p 33 9 daily daily JJ cord-304820-q3de7r1p 33 10 number number NN cord-304820-q3de7r1p 33 11 of of IN cord-304820-q3de7r1p 33 12 tests test NNS cord-304820-q3de7r1p 33 13 into into IN cord-304820-q3de7r1p 33 14 an an DT cord-304820-q3de7r1p 33 15 epidemic epidemic NN cord-304820-q3de7r1p 33 16 model model NN cord-304820-q3de7r1p 33 17 , , , cord-304820-q3de7r1p 33 18 and and CC cord-304820-q3de7r1p 33 19 we -PRON- PRP cord-304820-q3de7r1p 33 20 will will MD cord-304820-q3de7r1p 33 21 compare compare VB cord-304820-q3de7r1p 33 22 the the DT cord-304820-q3de7r1p 33 23 number number NN cord-304820-q3de7r1p 33 24 of of IN cord-304820-q3de7r1p 33 25 reported report VBN cord-304820-q3de7r1p 33 26 cases case NNS cord-304820-q3de7r1p 33 27 produced produce VBN cord-304820-q3de7r1p 33 28 by by IN cord-304820-q3de7r1p 33 29 the the DT cord-304820-q3de7r1p 33 30 model model NN cord-304820-q3de7r1p 33 31 and and CC cord-304820-q3de7r1p 33 32 the the DT cord-304820-q3de7r1p 33 33 data datum NNS cord-304820-q3de7r1p 33 34 . . . cord-304820-q3de7r1p 34 1 Our -PRON- PRP$ cord-304820-q3de7r1p 34 2 goal goal NN cord-304820-q3de7r1p 34 3 is be VBZ cord-304820-q3de7r1p 34 4 to to TO cord-304820-q3de7r1p 34 5 understand understand VB cord-304820-q3de7r1p 34 6 the the DT cord-304820-q3de7r1p 34 7 relationship relationship NN cord-304820-q3de7r1p 34 8 between between IN cord-304820-q3de7r1p 34 9 the the DT cord-304820-q3de7r1p 34 10 data datum NNS cord-304820-q3de7r1p 34 11 for for IN cord-304820-q3de7r1p 34 12 the the DT cord-304820-q3de7r1p 34 13 daily daily JJ cord-304820-q3de7r1p 34 14 number number NN cord-304820-q3de7r1p 34 15 of of IN cord-304820-q3de7r1p 34 16 tests test NNS cord-304820-q3de7r1p 34 17 ( ( -LRB- cord-304820-q3de7r1p 34 18 which which WDT cord-304820-q3de7r1p 34 19 will will MD cord-304820-q3de7r1p 34 20 be be VB cord-304820-q3de7r1p 34 21 an an DT cord-304820-q3de7r1p 34 22 input input NN cord-304820-q3de7r1p 34 23 our -PRON- PRP$ cord-304820-q3de7r1p 34 24 model model NN cord-304820-q3de7r1p 34 25 ) ) -RRB- cord-304820-q3de7r1p 34 26 and and CC cord-304820-q3de7r1p 34 27 the the DT cord-304820-q3de7r1p 34 28 data datum NNS cord-304820-q3de7r1p 34 29 for for IN cord-304820-q3de7r1p 34 30 the the DT cord-304820-q3de7r1p 34 31 daily daily JJ cord-304820-q3de7r1p 34 32 number number NN cord-304820-q3de7r1p 34 33 of of IN cord-304820-q3de7r1p 34 34 reported report VBN cord-304820-q3de7r1p 34 35 cases case NNS cord-304820-q3de7r1p 34 36 ( ( -LRB- cord-304820-q3de7r1p 34 37 which which WDT cord-304820-q3de7r1p 34 38 will will MD cord-304820-q3de7r1p 34 39 be be VB cord-304820-q3de7r1p 34 40 an an DT cord-304820-q3de7r1p 34 41 output output NN cord-304820-q3de7r1p 34 42 for for IN cord-304820-q3de7r1p 34 43 our -PRON- PRP$ cord-304820-q3de7r1p 34 44 model model NN cord-304820-q3de7r1p 34 45 ) ) -RRB- cord-304820-q3de7r1p 34 46 . . . cord-304820-q3de7r1p 35 1 The the DT cord-304820-q3de7r1p 35 2 plan plan NN cord-304820-q3de7r1p 35 3 of of IN cord-304820-q3de7r1p 35 4 the the DT cord-304820-q3de7r1p 35 5 paper paper NN cord-304820-q3de7r1p 35 6 is be VBZ cord-304820-q3de7r1p 35 7 the the DT cord-304820-q3de7r1p 35 8 following follow VBG cord-304820-q3de7r1p 35 9 . . . cord-304820-q3de7r1p 36 1 In in IN cord-304820-q3de7r1p 36 2 Section section NN cord-304820-q3de7r1p 36 3 2 2 CD cord-304820-q3de7r1p 36 4 , , , cord-304820-q3de7r1p 36 5 we -PRON- PRP cord-304820-q3de7r1p 36 6 will will MD cord-304820-q3de7r1p 36 7 present present VB cord-304820-q3de7r1p 36 8 a a DT cord-304820-q3de7r1p 36 9 model model NN cord-304820-q3de7r1p 36 10 involving involve VBG cord-304820-q3de7r1p 36 11 the the DT cord-304820-q3de7r1p 36 12 daily daily JJ cord-304820-q3de7r1p 36 13 number number NN cord-304820-q3de7r1p 36 14 of of IN cord-304820-q3de7r1p 36 15 tests test NNS cord-304820-q3de7r1p 36 16 . . . cord-304820-q3de7r1p 37 1 In in IN cord-304820-q3de7r1p 37 2 Section section NN cord-304820-q3de7r1p 37 3 3 3 CD cord-304820-q3de7r1p 37 4 , , , cord-304820-q3de7r1p 37 5 we -PRON- PRP cord-304820-q3de7r1p 37 6 apply apply VBP cord-304820-q3de7r1p 37 7 the the DT cord-304820-q3de7r1p 37 8 method method NN cord-304820-q3de7r1p 37 9 presented present VBN cord-304820-q3de7r1p 37 10 in in IN cord-304820-q3de7r1p 37 11 [ [ -LRB- cord-304820-q3de7r1p 37 12 14 14 CD cord-304820-q3de7r1p 37 13 ] ] -RRB- cord-304820-q3de7r1p 37 14 to to IN cord-304820-q3de7r1p 37 15 our -PRON- PRP$ cord-304820-q3de7r1p 37 16 new new JJ cord-304820-q3de7r1p 37 17 model model NN cord-304820-q3de7r1p 37 18 . . . cord-304820-q3de7r1p 38 1 In in IN cord-304820-q3de7r1p 38 2 Section section NN cord-304820-q3de7r1p 38 3 4 4 CD cord-304820-q3de7r1p 38 4 , , , cord-304820-q3de7r1p 38 5 we -PRON- PRP cord-304820-q3de7r1p 38 6 present present VBP cord-304820-q3de7r1p 38 7 some some DT cord-304820-q3de7r1p 38 8 numerical numerical JJ cord-304820-q3de7r1p 38 9 simulations simulation NNS cord-304820-q3de7r1p 38 10 , , , cord-304820-q3de7r1p 38 11 and and CC cord-304820-q3de7r1p 38 12 we -PRON- PRP cord-304820-q3de7r1p 38 13 compare compare VBP cord-304820-q3de7r1p 38 14 the the DT cord-304820-q3de7r1p 38 15 model model NN cord-304820-q3de7r1p 38 16 with with IN cord-304820-q3de7r1p 38 17 the the DT cord-304820-q3de7r1p 38 18 data datum NNS cord-304820-q3de7r1p 38 19 . . . cord-304820-q3de7r1p 39 1 The the DT cord-304820-q3de7r1p 39 2 last last JJ cord-304820-q3de7r1p 39 3 section section NN cord-304820-q3de7r1p 39 4 is be VBZ cord-304820-q3de7r1p 39 5 devoted devote VBN cord-304820-q3de7r1p 39 6 to to IN cord-304820-q3de7r1p 39 7 the the DT cord-304820-q3de7r1p 39 8 discussion discussion NN cord-304820-q3de7r1p 39 9 . . . cord-304820-q3de7r1p 40 1 Let let VB cord-304820-q3de7r1p 40 2 n(t n(t RB cord-304820-q3de7r1p 40 3 ) ) -RRB- cord-304820-q3de7r1p 40 4 be be VB cord-304820-q3de7r1p 40 5 the the DT cord-304820-q3de7r1p 40 6 number number NN cord-304820-q3de7r1p 40 7 of of IN cord-304820-q3de7r1p 40 8 tests test NNS cord-304820-q3de7r1p 40 9 per per IN cord-304820-q3de7r1p 40 10 unit unit NN cord-304820-q3de7r1p 40 11 of of IN cord-304820-q3de7r1p 40 12 time time NN cord-304820-q3de7r1p 40 13 . . . cord-304820-q3de7r1p 41 1 Throughout throughout IN cord-304820-q3de7r1p 41 2 this this DT cord-304820-q3de7r1p 41 3 paper paper NN cord-304820-q3de7r1p 41 4 , , , cord-304820-q3de7r1p 41 5 we -PRON- PRP cord-304820-q3de7r1p 41 6 use use VBP cord-304820-q3de7r1p 41 7 one one CD cord-304820-q3de7r1p 41 8 day day NN cord-304820-q3de7r1p 41 9 as as IN cord-304820-q3de7r1p 41 10 the the DT cord-304820-q3de7r1p 41 11 unit unit NN cord-304820-q3de7r1p 41 12 of of IN cord-304820-q3de7r1p 41 13 time time NN cord-304820-q3de7r1p 41 14 . . . cord-304820-q3de7r1p 42 1 Therefore therefore RB cord-304820-q3de7r1p 42 2 n(t n(t RB cord-304820-q3de7r1p 42 3 ) ) -RRB- cord-304820-q3de7r1p 42 4 can can MD cord-304820-q3de7r1p 42 5 be be VB cord-304820-q3de7r1p 42 6 regarded regard VBN cord-304820-q3de7r1p 42 7 as as IN cord-304820-q3de7r1p 42 8 the the DT cord-304820-q3de7r1p 42 9 daily daily JJ cord-304820-q3de7r1p 42 10 number number NN cord-304820-q3de7r1p 42 11 of of IN cord-304820-q3de7r1p 42 12 tests test NNS cord-304820-q3de7r1p 42 13 at at IN cord-304820-q3de7r1p 42 14 time time NN cord-304820-q3de7r1p 43 1 t. t. NNP cord-304820-q3de7r1p 44 1 The the DT cord-304820-q3de7r1p 44 2 function function NN cord-304820-q3de7r1p 44 3 n(t n(t RB cord-304820-q3de7r1p 44 4 ) ) -RRB- cord-304820-q3de7r1p 44 5 is be VBZ cord-304820-q3de7r1p 44 6 actually actually RB cord-304820-q3de7r1p 44 7 coming come VBG cord-304820-q3de7r1p 44 8 from from IN cord-304820-q3de7r1p 44 9 a a DT cord-304820-q3de7r1p 44 10 database database NN cord-304820-q3de7r1p 44 11 for for IN cord-304820-q3de7r1p 44 12 the the DT cord-304820-q3de7r1p 44 13 New New NNP cord-304820-q3de7r1p 44 14 - - HYPH cord-304820-q3de7r1p 44 15 York York NNP cord-304820-q3de7r1p 44 16 State State NNP cord-304820-q3de7r1p 44 17 [ [ -LRB- cord-304820-q3de7r1p 44 18 29 29 CD cord-304820-q3de7r1p 44 19 ] ] -RRB- cord-304820-q3de7r1p 44 20 . . . cord-304820-q3de7r1p 45 1 Let let VB cord-304820-q3de7r1p 45 2 N n NN cord-304820-q3de7r1p 45 3 ( ( -LRB- cord-304820-q3de7r1p 45 4 t t NN cord-304820-q3de7r1p 45 5 ) ) -RRB- cord-304820-q3de7r1p 45 6 be be VB cord-304820-q3de7r1p 45 7 the the DT cord-304820-q3de7r1p 45 8 cumulative cumulative JJ cord-304820-q3de7r1p 45 9 number number NN cord-304820-q3de7r1p 45 10 of of IN cord-304820-q3de7r1p 45 11 tests test NNS cord-304820-q3de7r1p 45 12 from from IN cord-304820-q3de7r1p 45 13 the the DT cord-304820-q3de7r1p 45 14 beginning beginning NN cord-304820-q3de7r1p 45 15 of of IN cord-304820-q3de7r1p 45 16 the the DT cord-304820-q3de7r1p 45 17 epidemic epidemic NN cord-304820-q3de7r1p 45 18 then then RB cord-304820-q3de7r1p 45 19 N N NNP cord-304820-q3de7r1p 45 20 ( ( -LRB- cord-304820-q3de7r1p 45 21 t t NN cord-304820-q3de7r1p 45 22 ) ) -RRB- cord-304820-q3de7r1p 45 23 = = SYM cord-304820-q3de7r1p 45 24 n(t n(t JJS cord-304820-q3de7r1p 45 25 ) ) -RRB- cord-304820-q3de7r1p 45 26 , , , cord-304820-q3de7r1p 45 27 for for IN cord-304820-q3de7r1p 45 28 t t NN cord-304820-q3de7r1p 45 29 ≥ ≥ CD cord-304820-q3de7r1p 45 30 t t NN cord-304820-q3de7r1p 45 31 1 1 CD cord-304820-q3de7r1p 45 32 and and CC cord-304820-q3de7r1p 45 33 N N NNP cord-304820-q3de7r1p 45 34 ( ( -LRB- cord-304820-q3de7r1p 45 35 t t NN cord-304820-q3de7r1p 45 36 1 1 CD cord-304820-q3de7r1p 45 37 ) ) -RRB- cord-304820-q3de7r1p 45 38 = = NFP cord-304820-q3de7r1p 46 1 N n NN cord-304820-q3de7r1p 46 2 1 1 CD cord-304820-q3de7r1p 46 3 . . . cord-304820-q3de7r1p 47 1 ( ( -LRB- cord-304820-q3de7r1p 47 2 2.1 2.1 CD cord-304820-q3de7r1p 47 3 ) ) -RRB- cord-304820-q3de7r1p 47 4 Remark remark NN cord-304820-q3de7r1p 47 5 2.1 2.1 CD cord-304820-q3de7r1p 47 6 Section section NN cord-304820-q3de7r1p 47 7 4 4 CD cord-304820-q3de7r1p 47 8 is be VBZ cord-304820-q3de7r1p 47 9 devoted devote VBN cord-304820-q3de7r1p 47 10 numerical numerical JJ cord-304820-q3de7r1p 47 11 simulations simulation NNS cord-304820-q3de7r1p 47 12 . . . cord-304820-q3de7r1p 48 1 We -PRON- PRP cord-304820-q3de7r1p 48 2 will will MD cord-304820-q3de7r1p 48 3 use use VB cord-304820-q3de7r1p 48 4 n(t n(t JJS cord-304820-q3de7r1p 48 5 ) ) -RRB- cord-304820-q3de7r1p 48 6 as as IN cord-304820-q3de7r1p 48 7 a a DT cord-304820-q3de7r1p 48 8 piecewise piecewise JJ cord-304820-q3de7r1p 48 9 constant constant JJ cord-304820-q3de7r1p 48 10 function function NN cord-304820-q3de7r1p 48 11 that that WDT cord-304820-q3de7r1p 48 12 varies vary VBZ cord-304820-q3de7r1p 48 13 day day NN cord-304820-q3de7r1p 48 14 by by IN cord-304820-q3de7r1p 48 15 day day NN cord-304820-q3de7r1p 48 16 . . . cord-304820-q3de7r1p 49 1 Each each DT cord-304820-q3de7r1p 49 2 day day NN cord-304820-q3de7r1p 49 3 , , , cord-304820-q3de7r1p 49 4 n(t n(t JJS cord-304820-q3de7r1p 49 5 ) ) -RRB- cord-304820-q3de7r1p 49 6 will will MD cord-304820-q3de7r1p 49 7 be be VB cord-304820-q3de7r1p 49 8 equal equal JJ cord-304820-q3de7r1p 49 9 to to IN cord-304820-q3de7r1p 49 10 the the DT cord-304820-q3de7r1p 49 11 number number NN cord-304820-q3de7r1p 49 12 of of IN cord-304820-q3de7r1p 49 13 tests test NNS cord-304820-q3de7r1p 49 14 that that WDT cord-304820-q3de7r1p 49 15 were be VBD cord-304820-q3de7r1p 49 16 performed perform VBN cord-304820-q3de7r1p 49 17 that that DT cord-304820-q3de7r1p 49 18 day day NN cord-304820-q3de7r1p 49 19 . . . cord-304820-q3de7r1p 50 1 So so RB cord-304820-q3de7r1p 50 2 n(t n(t NNPS cord-304820-q3de7r1p 50 3 ) ) -RRB- cord-304820-q3de7r1p 50 4 should should MD cord-304820-q3de7r1p 50 5 be be VB cord-304820-q3de7r1p 50 6 understood understand VBN cord-304820-q3de7r1p 50 7 as as IN cord-304820-q3de7r1p 50 8 the the DT cord-304820-q3de7r1p 50 9 black black JJ cord-304820-q3de7r1p 50 10 curve curve NN cord-304820-q3de7r1p 50 11 in in IN cord-304820-q3de7r1p 50 12 Figure Figure NNP cord-304820-q3de7r1p 50 13 4 4 CD cord-304820-q3de7r1p 50 14 . . . cord-304820-q3de7r1p 51 1 The the DT cord-304820-q3de7r1p 51 2 model model NN cord-304820-q3de7r1p 51 3 consists consist VBZ cord-304820-q3de7r1p 51 4 of of IN cord-304820-q3de7r1p 51 5 the the DT cord-304820-q3de7r1p 51 6 following follow VBG cord-304820-q3de7r1p 51 7 system system NN cord-304820-q3de7r1p 51 8 of of IN cord-304820-q3de7r1p 51 9 ordinary ordinary JJ cord-304820-q3de7r1p 51 10 differential differential JJ cord-304820-q3de7r1p 51 11 equations equation NNS cord-304820-q3de7r1p 51 12 This this DT cord-304820-q3de7r1p 51 13 system system NN cord-304820-q3de7r1p 51 14 is be VBZ cord-304820-q3de7r1p 51 15 supplemented supplement VBN cord-304820-q3de7r1p 51 16 by by IN cord-304820-q3de7r1p 51 17 initial initial JJ cord-304820-q3de7r1p 51 18 data datum NNS cord-304820-q3de7r1p 51 19 ( ( -LRB- cord-304820-q3de7r1p 51 20 which which WDT cord-304820-q3de7r1p 51 21 are be VBP cord-304820-q3de7r1p 51 22 all all DT cord-304820-q3de7r1p 51 23 non non AFX cord-304820-q3de7r1p 51 24 negative negative JJ cord-304820-q3de7r1p 51 25 ) ) -RRB- cord-304820-q3de7r1p 51 26 thereby thereby RB cord-304820-q3de7r1p 51 27 assuming assume VBG cord-304820-q3de7r1p 51 28 that that IN cord-304820-q3de7r1p 51 29 the the DT cord-304820-q3de7r1p 51 30 disease disease NN cord-304820-q3de7r1p 51 31 was be VBD cord-304820-q3de7r1p 51 32 introduced introduce VBN cord-304820-q3de7r1p 51 33 by by IN cord-304820-q3de7r1p 51 34 an an DT cord-304820-q3de7r1p 51 35 individual individual NN cord-304820-q3de7r1p 51 36 incubating incubate VBG cord-304820-q3de7r1p 51 37 the the DT cord-304820-q3de7r1p 51 38 disease disease NN cord-304820-q3de7r1p 51 39 at at IN cord-304820-q3de7r1p 51 40 some some DT cord-304820-q3de7r1p 51 41 time time NN cord-304820-q3de7r1p 51 42 before before IN cord-304820-q3de7r1p 51 43 t t NNP cord-304820-q3de7r1p 51 44 1 1 CD cord-304820-q3de7r1p 51 45 . . . cord-304820-q3de7r1p 52 1 The the DT cord-304820-q3de7r1p 52 2 time time NN cord-304820-q3de7r1p 52 3 t t NN cord-304820-q3de7r1p 52 4 1 1 CD cord-304820-q3de7r1p 52 5 corresponds correspond VBZ cord-304820-q3de7r1p 52 6 to to IN cord-304820-q3de7r1p 52 7 the the DT cord-304820-q3de7r1p 52 8 time time NN cord-304820-q3de7r1p 52 9 where where WRB cord-304820-q3de7r1p 52 10 the the DT cord-304820-q3de7r1p 52 11 tests test NNS cord-304820-q3de7r1p 52 12 started start VBD cord-304820-q3de7r1p 52 13 to to TO cord-304820-q3de7r1p 52 14 be be VB cord-304820-q3de7r1p 52 15 used use VBN cord-304820-q3de7r1p 52 16 constantly constantly RB cord-304820-q3de7r1p 52 17 . . . cord-304820-q3de7r1p 53 1 Therefore therefore RB cord-304820-q3de7r1p 53 2 the the DT cord-304820-q3de7r1p 53 3 epidemic epidemic NN cord-304820-q3de7r1p 53 4 started start VBD cord-304820-q3de7r1p 53 5 before before IN cord-304820-q3de7r1p 53 6 t t NNP cord-304820-q3de7r1p 53 7 1 1 CD cord-304820-q3de7r1p 53 8 . . . cord-304820-q3de7r1p 54 1 Here here RB cord-304820-q3de7r1p 54 2 t t NN cord-304820-q3de7r1p 54 3 ≥ ≥ NN cord-304820-q3de7r1p 54 4 t t NN cord-304820-q3de7r1p 54 5 1 1 CD cord-304820-q3de7r1p 54 6 is be VBZ cord-304820-q3de7r1p 54 7 the the DT cord-304820-q3de7r1p 54 8 time time NN cord-304820-q3de7r1p 54 9 in in IN cord-304820-q3de7r1p 54 10 days day NNS cord-304820-q3de7r1p 54 11 . . . cord-304820-q3de7r1p 55 1 S(t S(t NNP cord-304820-q3de7r1p 55 2 ) ) -RRB- cord-304820-q3de7r1p 55 3 is be VBZ cord-304820-q3de7r1p 55 4 the the DT cord-304820-q3de7r1p 55 5 number number NN cord-304820-q3de7r1p 55 6 of of IN cord-304820-q3de7r1p 55 7 individuals individual NNS cord-304820-q3de7r1p 55 8 susceptible susceptible JJ cord-304820-q3de7r1p 55 9 to to IN cord-304820-q3de7r1p 55 10 infection infection NN cord-304820-q3de7r1p 55 11 . . . cord-304820-q3de7r1p 56 1 E(t E(t NNP cord-304820-q3de7r1p 56 2 ) ) -RRB- cord-304820-q3de7r1p 56 3 is be VBZ cord-304820-q3de7r1p 56 4 the the DT cord-304820-q3de7r1p 56 5 number number NN cord-304820-q3de7r1p 56 6 of of IN cord-304820-q3de7r1p 56 7 exposed expose VBN cord-304820-q3de7r1p 56 8 individuals individual NNS cord-304820-q3de7r1p 56 9 ( ( -LRB- cord-304820-q3de7r1p 56 10 i.e. i.e. FW cord-304820-q3de7r1p 56 11 who who WP cord-304820-q3de7r1p 56 12 are be VBP cord-304820-q3de7r1p 56 13 incubating incubate VBG cord-304820-q3de7r1p 56 14 the the DT cord-304820-q3de7r1p 56 15 disease disease NN cord-304820-q3de7r1p 56 16 but but CC cord-304820-q3de7r1p 56 17 not not RB cord-304820-q3de7r1p 56 18 infectious infectious JJ cord-304820-q3de7r1p 56 19 ) ) -RRB- cord-304820-q3de7r1p 56 20 . . . cord-304820-q3de7r1p 57 1 I(t I(t NNP cord-304820-q3de7r1p 57 2 ) ) -RRB- cord-304820-q3de7r1p 57 3 is be VBZ cord-304820-q3de7r1p 57 4 the the DT cord-304820-q3de7r1p 57 5 number number NN cord-304820-q3de7r1p 57 6 of of IN cord-304820-q3de7r1p 57 7 individuals individual NNS cord-304820-q3de7r1p 57 8 incubating incubate VBG cord-304820-q3de7r1p 57 9 the the DT cord-304820-q3de7r1p 57 10 disease disease NN cord-304820-q3de7r1p 57 11 , , , cord-304820-q3de7r1p 57 12 but but CC cord-304820-q3de7r1p 57 13 already already RB cord-304820-q3de7r1p 57 14 infectious infectious JJ cord-304820-q3de7r1p 57 15 . . . cord-304820-q3de7r1p 58 1 U U NNP cord-304820-q3de7r1p 58 2 ( ( -LRB- cord-304820-q3de7r1p 58 3 t t NN cord-304820-q3de7r1p 58 4 ) ) -RRB- cord-304820-q3de7r1p 58 5 is be VBZ cord-304820-q3de7r1p 58 6 the the DT cord-304820-q3de7r1p 58 7 number number NN cord-304820-q3de7r1p 58 8 of of IN cord-304820-q3de7r1p 58 9 undetected undetected JJ cord-304820-q3de7r1p 58 10 infectious infectious JJ cord-304820-q3de7r1p 58 11 individuals individual NNS cord-304820-q3de7r1p 58 12 ( ( -LRB- cord-304820-q3de7r1p 58 13 i.e. i.e. FW cord-304820-q3de7r1p 58 14 who who WP cord-304820-q3de7r1p 58 15 are be VBP cord-304820-q3de7r1p 58 16 expressing express VBG cord-304820-q3de7r1p 58 17 mild mild JJ cord-304820-q3de7r1p 58 18 or or CC cord-304820-q3de7r1p 58 19 no no DT cord-304820-q3de7r1p 58 20 symptoms symptom NNS cord-304820-q3de7r1p 58 21 ) ) -RRB- cord-304820-q3de7r1p 58 22 , , , cord-304820-q3de7r1p 58 23 and and CC cord-304820-q3de7r1p 58 24 the the DT cord-304820-q3de7r1p 58 25 infectious infectious JJ cord-304820-q3de7r1p 58 26 that that WDT cord-304820-q3de7r1p 58 27 have have VBP cord-304820-q3de7r1p 58 28 been be VBN cord-304820-q3de7r1p 58 29 tested test VBN cord-304820-q3de7r1p 58 30 with with IN cord-304820-q3de7r1p 58 31 a a DT cord-304820-q3de7r1p 58 32 false false JJ cord-304820-q3de7r1p 58 33 negative negative JJ cord-304820-q3de7r1p 58 34 result result NN cord-304820-q3de7r1p 58 35 , , , cord-304820-q3de7r1p 58 36 are be VBP cord-304820-q3de7r1p 58 37 therefore therefore RB cord-304820-q3de7r1p 58 38 not not RB cord-304820-q3de7r1p 58 39 candidates candidate NNS cord-304820-q3de7r1p 58 40 for for IN cord-304820-q3de7r1p 58 41 testing testing NN cord-304820-q3de7r1p 58 42 . . . cord-304820-q3de7r1p 59 1 D(t D(t NNP cord-304820-q3de7r1p 59 2 ) ) -RRB- cord-304820-q3de7r1p 59 3 is be VBZ cord-304820-q3de7r1p 59 4 the the DT cord-304820-q3de7r1p 59 5 number number NN cord-304820-q3de7r1p 59 6 of of IN cord-304820-q3de7r1p 59 7 individuals individual NNS cord-304820-q3de7r1p 59 8 who who WP cord-304820-q3de7r1p 59 9 express express VBP cord-304820-q3de7r1p 59 10 severe severe JJ cord-304820-q3de7r1p 59 11 symptoms symptom NNS cord-304820-q3de7r1p 59 12 and and CC cord-304820-q3de7r1p 59 13 are be VBP cord-304820-q3de7r1p 59 14 candidates candidate NNS cord-304820-q3de7r1p 59 15 for for IN cord-304820-q3de7r1p 59 16 testing testing NN cord-304820-q3de7r1p 59 17 . . . cord-304820-q3de7r1p 60 1 R(t R(t NNP cord-304820-q3de7r1p 60 2 ) ) -RRB- cord-304820-q3de7r1p 60 3 is be VBZ cord-304820-q3de7r1p 60 4 the the DT cord-304820-q3de7r1p 60 5 number number NN cord-304820-q3de7r1p 60 6 of of IN cord-304820-q3de7r1p 60 7 individuals individual NNS cord-304820-q3de7r1p 60 8 who who WP cord-304820-q3de7r1p 60 9 have have VBP cord-304820-q3de7r1p 60 10 been be VBN cord-304820-q3de7r1p 60 11 tested test VBN cord-304820-q3de7r1p 60 12 positive positive JJ cord-304820-q3de7r1p 60 13 to to IN cord-304820-q3de7r1p 60 14 the the DT cord-304820-q3de7r1p 60 15 disease disease NN cord-304820-q3de7r1p 60 16 . . . cord-304820-q3de7r1p 61 1 The the DT cord-304820-q3de7r1p 61 2 flux flux NN cord-304820-q3de7r1p 61 3 diagram diagram NN cord-304820-q3de7r1p 61 4 of of IN cord-304820-q3de7r1p 61 5 our -PRON- PRP$ cord-304820-q3de7r1p 61 6 model model NN cord-304820-q3de7r1p 61 7 is be VBZ cord-304820-q3de7r1p 61 8 presented present VBN cord-304820-q3de7r1p 61 9 in in IN cord-304820-q3de7r1p 61 10 Figure figure NN cord-304820-q3de7r1p 61 11 1 1 CD cord-304820-q3de7r1p 61 12 . . . cord-304820-q3de7r1p 62 1 Susceptible susceptible JJ cord-304820-q3de7r1p 62 2 individuals individual NNS cord-304820-q3de7r1p 62 3 S(t S(t NNP cord-304820-q3de7r1p 62 4 ) ) -RRB- cord-304820-q3de7r1p 62 5 become become VBP cord-304820-q3de7r1p 62 6 infected infect VBN cord-304820-q3de7r1p 62 7 by by IN cord-304820-q3de7r1p 62 8 contact contact NN cord-304820-q3de7r1p 62 9 with with IN cord-304820-q3de7r1p 62 10 an an DT cord-304820-q3de7r1p 62 11 infectious infectious JJ cord-304820-q3de7r1p 62 12 individual individual JJ cord-304820-q3de7r1p 62 13 I(t I(t NNP cord-304820-q3de7r1p 62 14 ) ) -RRB- cord-304820-q3de7r1p 62 15 , , , cord-304820-q3de7r1p 62 16 U U NNP cord-304820-q3de7r1p 62 17 ( ( -LRB- cord-304820-q3de7r1p 62 18 t t NN cord-304820-q3de7r1p 62 19 ) ) -RRB- cord-304820-q3de7r1p 62 20 or or CC cord-304820-q3de7r1p 62 21 D(t D(t NNP cord-304820-q3de7r1p 62 22 ) ) -RRB- cord-304820-q3de7r1p 62 23 . . . cord-304820-q3de7r1p 63 1 When when WRB cord-304820-q3de7r1p 63 2 they -PRON- PRP cord-304820-q3de7r1p 63 3 get get VBP cord-304820-q3de7r1p 63 4 infected infect VBN cord-304820-q3de7r1p 63 5 , , , cord-304820-q3de7r1p 63 6 susceptible susceptible JJ cord-304820-q3de7r1p 63 7 are be VBP cord-304820-q3de7r1p 63 8 first first RB cord-304820-q3de7r1p 63 9 classified classify VBN cord-304820-q3de7r1p 63 10 as as IN cord-304820-q3de7r1p 63 11 exposed expose VBN cord-304820-q3de7r1p 63 12 individuals individual NNS cord-304820-q3de7r1p 63 13 E(t E(t NNP cord-304820-q3de7r1p 63 14 ) ) -RRB- cord-304820-q3de7r1p 64 1 , , , cord-304820-q3de7r1p 64 2 that that DT cord-304820-q3de7r1p 64 3 is be VBZ cord-304820-q3de7r1p 64 4 to to TO cord-304820-q3de7r1p 64 5 say say VB cord-304820-q3de7r1p 64 6 that that IN cord-304820-q3de7r1p 64 7 they -PRON- PRP cord-304820-q3de7r1p 64 8 are be VBP cord-304820-q3de7r1p 64 9 incubating incubate VBG cord-304820-q3de7r1p 64 10 the the DT cord-304820-q3de7r1p 64 11 disease disease NN cord-304820-q3de7r1p 64 12 but but CC cord-304820-q3de7r1p 64 13 not not RB cord-304820-q3de7r1p 64 14 yet yet RB cord-304820-q3de7r1p 64 15 infectious infectious JJ cord-304820-q3de7r1p 64 16 . . . cord-304820-q3de7r1p 65 1 The the DT cord-304820-q3de7r1p 65 2 average average JJ cord-304820-q3de7r1p 65 3 length length NN cord-304820-q3de7r1p 65 4 of of IN cord-304820-q3de7r1p 65 5 this this DT cord-304820-q3de7r1p 65 6 exposed expose VBN cord-304820-q3de7r1p 65 7 period period NN cord-304820-q3de7r1p 65 8 ( ( -LRB- cord-304820-q3de7r1p 65 9 or or CC cord-304820-q3de7r1p 65 10 noninfectious noninfectious JJ cord-304820-q3de7r1p 65 11 incubation incubation NN cord-304820-q3de7r1p 65 12 period period NN cord-304820-q3de7r1p 65 13 ) ) -RRB- cord-304820-q3de7r1p 65 14 is be VBZ cord-304820-q3de7r1p 65 15 1 1 CD cord-304820-q3de7r1p 65 16 / / SYM cord-304820-q3de7r1p 65 17 α α NN cord-304820-q3de7r1p 65 18 days day NNS cord-304820-q3de7r1p 65 19 . . . cord-304820-q3de7r1p 66 1 After after IN cord-304820-q3de7r1p 66 2 the the DT cord-304820-q3de7r1p 66 3 exposure exposure NN cord-304820-q3de7r1p 66 4 period period NN cord-304820-q3de7r1p 66 5 , , , cord-304820-q3de7r1p 66 6 individuals individual NNS cord-304820-q3de7r1p 66 7 are be VBP cord-304820-q3de7r1p 66 8 becoming become VBG cord-304820-q3de7r1p 66 9 asymptomatic asymptomatic JJ cord-304820-q3de7r1p 66 10 infectious infectious JJ cord-304820-q3de7r1p 66 11 I(t I(t NNP cord-304820-q3de7r1p 66 12 ) ) -RRB- cord-304820-q3de7r1p 66 13 . . . cord-304820-q3de7r1p 67 1 The the DT cord-304820-q3de7r1p 67 2 average average JJ cord-304820-q3de7r1p 67 3 length length NN cord-304820-q3de7r1p 67 4 of of IN cord-304820-q3de7r1p 67 5 the the DT cord-304820-q3de7r1p 67 6 asymptomatic asymptomatic JJ cord-304820-q3de7r1p 67 7 infectious infectious JJ cord-304820-q3de7r1p 67 8 period period NN cord-304820-q3de7r1p 67 9 is be VBZ cord-304820-q3de7r1p 67 10 1 1 CD cord-304820-q3de7r1p 67 11 / / SYM cord-304820-q3de7r1p 67 12 ν ν CD cord-304820-q3de7r1p 67 13 days day NNS cord-304820-q3de7r1p 67 14 . . . cord-304820-q3de7r1p 68 1 After after IN cord-304820-q3de7r1p 68 2 this this DT cord-304820-q3de7r1p 68 3 period period NN cord-304820-q3de7r1p 68 4 , , , cord-304820-q3de7r1p 68 5 individuals individual NNS cord-304820-q3de7r1p 68 6 are be VBP cord-304820-q3de7r1p 68 7 becoming become VBG cord-304820-q3de7r1p 68 8 either either CC cord-304820-q3de7r1p 68 9 mildly mildly RB cord-304820-q3de7r1p 68 10 symptomatic symptomatic JJ cord-304820-q3de7r1p 68 11 individuals individual NNS cord-304820-q3de7r1p 68 12 U u VBP cord-304820-q3de7r1p 68 13 ( ( -LRB- cord-304820-q3de7r1p 68 14 t t NN cord-304820-q3de7r1p 68 15 ) ) -RRB- cord-304820-q3de7r1p 68 16 or or CC cord-304820-q3de7r1p 68 17 individuals individual NNS cord-304820-q3de7r1p 68 18 with with IN cord-304820-q3de7r1p 68 19 severe severe JJ cord-304820-q3de7r1p 68 20 symptoms symptom NNS cord-304820-q3de7r1p 68 21 D(t D(t NNP cord-304820-q3de7r1p 68 22 ) ) -RRB- cord-304820-q3de7r1p 68 23 . . . cord-304820-q3de7r1p 69 1 The the DT cord-304820-q3de7r1p 69 2 average average JJ cord-304820-q3de7r1p 69 3 length length NN cord-304820-q3de7r1p 69 4 of of IN cord-304820-q3de7r1p 69 5 this this DT cord-304820-q3de7r1p 69 6 infectious infectious JJ cord-304820-q3de7r1p 69 7 period period NN cord-304820-q3de7r1p 69 8 is be VBZ cord-304820-q3de7r1p 69 9 1 1 CD cord-304820-q3de7r1p 69 10 / / SYM cord-304820-q3de7r1p 69 11 η η NN cord-304820-q3de7r1p 69 12 days day NNS cord-304820-q3de7r1p 69 13 . . . cord-304820-q3de7r1p 70 1 Some some DT cord-304820-q3de7r1p 70 2 of of IN cord-304820-q3de7r1p 70 3 the the DT cord-304820-q3de7r1p 70 4 U U NNP cord-304820-q3de7r1p 70 5 -individuals -individuals NNPS cord-304820-q3de7r1p 70 6 may may MD cord-304820-q3de7r1p 70 7 show show VB cord-304820-q3de7r1p 70 8 no no DT cord-304820-q3de7r1p 70 9 symptoms symptom NNS cord-304820-q3de7r1p 70 10 at at RB cord-304820-q3de7r1p 70 11 all all RB cord-304820-q3de7r1p 70 12 . . . cord-304820-q3de7r1p 71 1 In in IN cord-304820-q3de7r1p 71 2 our -PRON- PRP$ cord-304820-q3de7r1p 71 3 model model NN cord-304820-q3de7r1p 71 4 , , , cord-304820-q3de7r1p 71 5 the the DT cord-304820-q3de7r1p 71 6 transmission transmission NN cord-304820-q3de7r1p 71 7 can can MD cord-304820-q3de7r1p 71 8 occur occur VB cord-304820-q3de7r1p 71 9 between between IN cord-304820-q3de7r1p 71 10 a a DT cord-304820-q3de7r1p 71 11 S s NN cord-304820-q3de7r1p 71 12 - - HYPH cord-304820-q3de7r1p 71 13 individual individual NN cord-304820-q3de7r1p 71 14 and and CC cord-304820-q3de7r1p 71 15 an an DT cord-304820-q3de7r1p 71 16 I- i- NN cord-304820-q3de7r1p 71 17 , , , cord-304820-q3de7r1p 71 18 U u NN cord-304820-q3de7r1p 71 19 -or -or NN cord-304820-q3de7r1p 71 20 R r NN cord-304820-q3de7r1p 71 21 - - HYPH cord-304820-q3de7r1p 71 22 individual individual JJ cord-304820-q3de7r1p 71 23 . . . cord-304820-q3de7r1p 72 1 Transmissions transmission NNS cord-304820-q3de7r1p 72 2 of of IN cord-304820-q3de7r1p 72 3 SARS SARS NNP cord-304820-q3de7r1p 72 4 - - HYPH cord-304820-q3de7r1p 72 5 CoV-2 CoV-2 NNP cord-304820-q3de7r1p 72 6 are be VBP cord-304820-q3de7r1p 72 7 described describe VBN cord-304820-q3de7r1p 72 8 in in IN cord-304820-q3de7r1p 72 9 the the DT cord-304820-q3de7r1p 72 10 model model NN cord-304820-q3de7r1p 72 11 by by IN cord-304820-q3de7r1p 72 12 the the DT cord-304820-q3de7r1p 72 13 term term NN cord-304820-q3de7r1p 72 14 τ τ NN cord-304820-q3de7r1p 72 15 S(t)[I(t S(t)[I(t NNS cord-304820-q3de7r1p 72 16 ) ) -RRB- cord-304820-q3de7r1p 72 17 + + CC cord-304820-q3de7r1p 72 18 U u NN cord-304820-q3de7r1p 72 19 ( ( -LRB- cord-304820-q3de7r1p 72 20 t t NN cord-304820-q3de7r1p 72 21 ) ) -RRB- cord-304820-q3de7r1p 72 22 + + CC cord-304820-q3de7r1p 72 23 D(t D(t NNP cord-304820-q3de7r1p 72 24 ) ) -RRB- cord-304820-q3de7r1p 72 25 ] ] -RRB- cord-304820-q3de7r1p 72 26 where where WRB cord-304820-q3de7r1p 72 27 τ τ NN cord-304820-q3de7r1p 72 28 is be VBZ cord-304820-q3de7r1p 72 29 the the DT cord-304820-q3de7r1p 72 30 transmission transmission NN cord-304820-q3de7r1p 72 31 rate rate NN cord-304820-q3de7r1p 72 32 . . . cord-304820-q3de7r1p 73 1 Here here RB cord-304820-q3de7r1p 73 2 , , , cord-304820-q3de7r1p 73 3 even even RB cord-304820-q3de7r1p 73 4 though though IN cord-304820-q3de7r1p 73 5 a a DT cord-304820-q3de7r1p 73 6 transmission transmission NN cord-304820-q3de7r1p 73 7 from from IN cord-304820-q3de7r1p 73 8 R r NN cord-304820-q3de7r1p 73 9 - - HYPH cord-304820-q3de7r1p 73 10 individuals individual NNS cord-304820-q3de7r1p 73 11 to to IN cord-304820-q3de7r1p 73 12 a a DT cord-304820-q3de7r1p 73 13 S s NN cord-304820-q3de7r1p 73 14 - - HYPH cord-304820-q3de7r1p 73 15 individuals individual NNS cord-304820-q3de7r1p 73 16 is be VBZ cord-304820-q3de7r1p 73 17 possible possible JJ cord-304820-q3de7r1p 73 18 in in IN cord-304820-q3de7r1p 73 19 theory theory NN cord-304820-q3de7r1p 73 20 ( ( -LRB- cord-304820-q3de7r1p 73 21 e.g. e.g. RB cord-304820-q3de7r1p 73 22 if if IN cord-304820-q3de7r1p 73 23 a a DT cord-304820-q3de7r1p 73 24 tested test VBN cord-304820-q3de7r1p 73 25 patient patient NN cord-304820-q3de7r1p 73 26 infects infect VBZ cord-304820-q3de7r1p 73 27 its -PRON- PRP$ cord-304820-q3de7r1p 73 28 medical medical JJ cord-304820-q3de7r1p 73 29 doctor doctor NN cord-304820-q3de7r1p 73 30 ) ) -RRB- cord-304820-q3de7r1p 73 31 , , , cord-304820-q3de7r1p 73 32 we -PRON- PRP cord-304820-q3de7r1p 73 33 consider consider VBP cord-304820-q3de7r1p 73 34 that that IN cord-304820-q3de7r1p 73 35 such such PDT cord-304820-q3de7r1p 73 36 a a DT cord-304820-q3de7r1p 73 37 case case NN cord-304820-q3de7r1p 73 38 is be VBZ cord-304820-q3de7r1p 73 39 rare rare JJ cord-304820-q3de7r1p 73 40 and and CC cord-304820-q3de7r1p 73 41 we -PRON- PRP cord-304820-q3de7r1p 73 42 neglect neglect VBP cord-304820-q3de7r1p 73 43 it -PRON- PRP cord-304820-q3de7r1p 73 44 . . . cord-304820-q3de7r1p 74 1 : : : cord-304820-q3de7r1p 75 1 Key key JJ cord-304820-q3de7r1p 75 2 time time NN cord-304820-q3de7r1p 75 3 periods period NNS cord-304820-q3de7r1p 75 4 of of IN cord-304820-q3de7r1p 75 5 COVID-19 covid-19 JJ cord-304820-q3de7r1p 75 6 infection infection NN cord-304820-q3de7r1p 75 7 : : : cord-304820-q3de7r1p 75 8 the the DT cord-304820-q3de7r1p 75 9 latent latent JJ cord-304820-q3de7r1p 75 10 or or CC cord-304820-q3de7r1p 75 11 exposed expose VBN cord-304820-q3de7r1p 75 12 period period NN cord-304820-q3de7r1p 75 13 before before IN cord-304820-q3de7r1p 75 14 the the DT cord-304820-q3de7r1p 75 15 onset onset NN cord-304820-q3de7r1p 75 16 of of IN cord-304820-q3de7r1p 75 17 symptoms symptom NNS cord-304820-q3de7r1p 75 18 and and CC cord-304820-q3de7r1p 75 19 transmissibility transmissibility NN cord-304820-q3de7r1p 75 20 , , , cord-304820-q3de7r1p 76 1 the the DT cord-304820-q3de7r1p 76 2 incubation incubation NN cord-304820-q3de7r1p 76 3 period period NN cord-304820-q3de7r1p 76 4 before before IN cord-304820-q3de7r1p 76 5 symptoms symptom NNS cord-304820-q3de7r1p 76 6 appear appear VBP cord-304820-q3de7r1p 76 7 , , , cord-304820-q3de7r1p 76 8 the the DT cord-304820-q3de7r1p 76 9 symptomatic symptomatic JJ cord-304820-q3de7r1p 76 10 period period NN cord-304820-q3de7r1p 76 11 , , , cord-304820-q3de7r1p 76 12 and and CC cord-304820-q3de7r1p 76 13 the the DT cord-304820-q3de7r1p 76 14 transmissibility transmissibility NN cord-304820-q3de7r1p 76 15 period period NN cord-304820-q3de7r1p 76 16 , , , cord-304820-q3de7r1p 76 17 which which WDT cord-304820-q3de7r1p 76 18 may may MD cord-304820-q3de7r1p 76 19 overlap overlap VB cord-304820-q3de7r1p 76 20 the the DT cord-304820-q3de7r1p 76 21 asymptomatic asymptomatic JJ cord-304820-q3de7r1p 76 22 period period NN cord-304820-q3de7r1p 76 23 . . . cord-304820-q3de7r1p 77 1 The the DT cord-304820-q3de7r1p 77 2 last last JJ cord-304820-q3de7r1p 77 3 part part NN cord-304820-q3de7r1p 77 4 of of IN cord-304820-q3de7r1p 77 5 the the DT cord-304820-q3de7r1p 77 6 model model NN cord-304820-q3de7r1p 77 7 is be VBZ cord-304820-q3de7r1p 77 8 devoted devote VBN cord-304820-q3de7r1p 77 9 to to IN cord-304820-q3de7r1p 77 10 the the DT cord-304820-q3de7r1p 77 11 testing testing NN cord-304820-q3de7r1p 77 12 . . . cord-304820-q3de7r1p 78 1 The the DT cord-304820-q3de7r1p 78 2 parameter parameter NN cord-304820-q3de7r1p 78 3 σ σ NN cord-304820-q3de7r1p 78 4 is be VBZ cord-304820-q3de7r1p 78 5 the the DT cord-304820-q3de7r1p 78 6 fraction fraction NN cord-304820-q3de7r1p 78 7 of of IN cord-304820-q3de7r1p 78 8 true true JJ cord-304820-q3de7r1p 78 9 positive positive JJ cord-304820-q3de7r1p 78 10 tests test NNS cord-304820-q3de7r1p 78 11 and and CC cord-304820-q3de7r1p 79 1 ( ( -LRB- cord-304820-q3de7r1p 79 2 1 1 CD cord-304820-q3de7r1p 79 3 − − NN cord-304820-q3de7r1p 79 4 σ σ NNP cord-304820-q3de7r1p 79 5 ) ) -RRB- cord-304820-q3de7r1p 79 6 is be VBZ cord-304820-q3de7r1p 79 7 the the DT cord-304820-q3de7r1p 79 8 fraction fraction NN cord-304820-q3de7r1p 79 9 of of IN cord-304820-q3de7r1p 79 10 false false JJ cord-304820-q3de7r1p 79 11 negative negative JJ cord-304820-q3de7r1p 79 12 tests test NNS cord-304820-q3de7r1p 79 13 . . . cord-304820-q3de7r1p 80 1 The the DT cord-304820-q3de7r1p 80 2 quantity quantity NN cord-304820-q3de7r1p 80 3 σ σ NN cord-304820-q3de7r1p 80 4 has have VBZ cord-304820-q3de7r1p 80 5 been be VBN cord-304820-q3de7r1p 80 6 estimated estimate VBN cord-304820-q3de7r1p 80 7 at at IN cord-304820-q3de7r1p 80 8 σ σ NN cord-304820-q3de7r1p 80 9 = = SYM cord-304820-q3de7r1p 80 10 0.7 0.7 CD cord-304820-q3de7r1p 80 11 in in IN cord-304820-q3de7r1p 80 12 the the DT cord-304820-q3de7r1p 80 13 case case NN cord-304820-q3de7r1p 80 14 of of IN cord-304820-q3de7r1p 80 15 nasal nasal NN cord-304820-q3de7r1p 80 16 or or CC cord-304820-q3de7r1p 80 17 pharyngeal pharyngeal JJ cord-304820-q3de7r1p 80 18 swabs swab NNS cord-304820-q3de7r1p 80 19 for for IN cord-304820-q3de7r1p 80 20 SARS SARS NNP cord-304820-q3de7r1p 80 21 - - HYPH cord-304820-q3de7r1p 80 22 CoV-2 CoV-2 NNP cord-304820-q3de7r1p 80 23 [ [ -LRB- cord-304820-q3de7r1p 80 24 27 27 CD cord-304820-q3de7r1p 80 25 ] ] -RRB- cord-304820-q3de7r1p 80 26 . . . cord-304820-q3de7r1p 81 1 Among among IN cord-304820-q3de7r1p 81 2 the the DT cord-304820-q3de7r1p 81 3 detectable detectable JJ cord-304820-q3de7r1p 81 4 infectious infectious JJ cord-304820-q3de7r1p 81 5 , , , cord-304820-q3de7r1p 81 6 we -PRON- PRP cord-304820-q3de7r1p 81 7 assume assume VBP cord-304820-q3de7r1p 81 8 that that IN cord-304820-q3de7r1p 81 9 only only RB cord-304820-q3de7r1p 81 10 a a DT cord-304820-q3de7r1p 81 11 fraction fraction NN cord-304820-q3de7r1p 81 12 g g NN cord-304820-q3de7r1p 81 13 are be VBP cord-304820-q3de7r1p 81 14 tested test VBN cord-304820-q3de7r1p 81 15 per per IN cord-304820-q3de7r1p 81 16 unit unit NN cord-304820-q3de7r1p 81 17 of of IN cord-304820-q3de7r1p 81 18 time time NN cord-304820-q3de7r1p 81 19 . . . cord-304820-q3de7r1p 82 1 This this DT cord-304820-q3de7r1p 82 2 fraction fraction NN cord-304820-q3de7r1p 82 3 corresponds correspond VBZ cord-304820-q3de7r1p 82 4 to to IN cord-304820-q3de7r1p 82 5 individuals individual NNS cord-304820-q3de7r1p 82 6 with with IN cord-304820-q3de7r1p 82 7 symptoms symptom NNS cord-304820-q3de7r1p 82 8 suggesting suggest VBG cord-304820-q3de7r1p 82 9 a a DT cord-304820-q3de7r1p 82 10 potential potential JJ cord-304820-q3de7r1p 82 11 infection infection NN cord-304820-q3de7r1p 82 12 to to IN cord-304820-q3de7r1p 82 13 SARS SARS NNP cord-304820-q3de7r1p 82 14 - - HYPH cord-304820-q3de7r1p 82 15 CoV-2 CoV-2 NNP cord-304820-q3de7r1p 82 16 . . . cord-304820-q3de7r1p 83 1 The the DT cord-304820-q3de7r1p 83 2 fraction fraction NN cord-304820-q3de7r1p 83 3 g g NN cord-304820-q3de7r1p 83 4 is be VBZ cord-304820-q3de7r1p 83 5 the the DT cord-304820-q3de7r1p 83 6 frequency frequency NN cord-304820-q3de7r1p 83 7 of of IN cord-304820-q3de7r1p 83 8 testable testable JJ cord-304820-q3de7r1p 83 9 individuals individual NNS cord-304820-q3de7r1p 83 10 in in IN cord-304820-q3de7r1p 83 11 the the DT cord-304820-q3de7r1p 83 12 population population NN cord-304820-q3de7r1p 83 13 of of IN cord-304820-q3de7r1p 83 14 New New NNP cord-304820-q3de7r1p 83 15 - - HYPH cord-304820-q3de7r1p 83 16 York York NNP cord-304820-q3de7r1p 83 17 state state NN cord-304820-q3de7r1p 83 18 . . . cord-304820-q3de7r1p 84 1 We -PRON- PRP cord-304820-q3de7r1p 84 2 can can MD cord-304820-q3de7r1p 84 3 rewrite rewrite VB cord-304820-q3de7r1p 84 4 g g NN cord-304820-q3de7r1p 84 5 as as IN cord-304820-q3de7r1p 84 6 where where WRB cord-304820-q3de7r1p 84 7 P p NN cord-304820-q3de7r1p 84 8 is be VBZ cord-304820-q3de7r1p 84 9 the the DT cord-304820-q3de7r1p 84 10 total total JJ cord-304820-q3de7r1p 84 11 number number NN cord-304820-q3de7r1p 84 12 of of IN cord-304820-q3de7r1p 84 13 individuals individual NNS cord-304820-q3de7r1p 84 14 in in IN cord-304820-q3de7r1p 84 15 the the DT cord-304820-q3de7r1p 84 16 population population NN cord-304820-q3de7r1p 84 17 of of IN cord-304820-q3de7r1p 84 18 the the DT cord-304820-q3de7r1p 84 19 state state NN cord-304820-q3de7r1p 84 20 of of IN cord-304820-q3de7r1p 84 21 New New NNP cord-304820-q3de7r1p 84 22 - - HYPH cord-304820-q3de7r1p 84 23 York York NNP cord-304820-q3de7r1p 84 24 and and CC cord-304820-q3de7r1p 84 25 0 0 CD cord-304820-q3de7r1p 84 26 ≤ ≤ NN cord-304820-q3de7r1p 84 27 κ κ NN cord-304820-q3de7r1p 84 28 ≤ ≤ NN cord-304820-q3de7r1p 84 29 1 1 CD cord-304820-q3de7r1p 84 30 is be VBZ cord-304820-q3de7r1p 84 31 the the DT cord-304820-q3de7r1p 84 32 fraction fraction NN cord-304820-q3de7r1p 84 33 total total JJ cord-304820-q3de7r1p 84 34 population population NN cord-304820-q3de7r1p 84 35 with with IN cord-304820-q3de7r1p 84 36 mild mild JJ cord-304820-q3de7r1p 84 37 or or CC cord-304820-q3de7r1p 84 38 sever sever VB cord-304820-q3de7r1p 84 39 symptoms symptom NNS cord-304820-q3de7r1p 84 40 that that WDT cord-304820-q3de7r1p 84 41 may may MD cord-304820-q3de7r1p 84 42 induce induce VB cord-304820-q3de7r1p 84 43 a a DT cord-304820-q3de7r1p 84 44 test test NN cord-304820-q3de7r1p 84 45 . . . cord-304820-q3de7r1p 85 1 Individuals individual NNS cord-304820-q3de7r1p 85 2 who who WP cord-304820-q3de7r1p 85 3 were be VBD cord-304820-q3de7r1p 85 4 tested test VBN cord-304820-q3de7r1p 85 5 positive positive JJ cord-304820-q3de7r1p 85 6 R(t R(t NNS cord-304820-q3de7r1p 85 7 ) ) -RRB- cord-304820-q3de7r1p 85 8 are be VBP cord-304820-q3de7r1p 85 9 infectious infectious JJ cord-304820-q3de7r1p 85 10 on on IN cord-304820-q3de7r1p 85 11 average average NN cord-304820-q3de7r1p 85 12 during during IN cord-304820-q3de7r1p 85 13 a a DT cord-304820-q3de7r1p 85 14 period period NN cord-304820-q3de7r1p 85 15 of of IN cord-304820-q3de7r1p 85 16 1 1 CD cord-304820-q3de7r1p 85 17 / / SYM cord-304820-q3de7r1p 85 18 η η NN cord-304820-q3de7r1p 85 19 days day NNS cord-304820-q3de7r1p 85 20 . . . cord-304820-q3de7r1p 86 1 But but CC cord-304820-q3de7r1p 86 2 we -PRON- PRP cord-304820-q3de7r1p 86 3 assume assume VBP cord-304820-q3de7r1p 86 4 that that IN cord-304820-q3de7r1p 86 5 they -PRON- PRP cord-304820-q3de7r1p 86 6 become become VBP cord-304820-q3de7r1p 86 7 immediately immediately RB cord-304820-q3de7r1p 86 8 isolated isolated JJ cord-304820-q3de7r1p 86 9 and and CC cord-304820-q3de7r1p 86 10 they -PRON- PRP cord-304820-q3de7r1p 86 11 do do VBP cord-304820-q3de7r1p 86 12 not not RB cord-304820-q3de7r1p 86 13 contribute contribute VB cord-304820-q3de7r1p 86 14 to to IN cord-304820-q3de7r1p 86 15 the the DT cord-304820-q3de7r1p 86 16 epidemic epidemic NN cord-304820-q3de7r1p 86 17 anymore anymore RB cord-304820-q3de7r1p 86 18 . . . cord-304820-q3de7r1p 87 1 In in IN cord-304820-q3de7r1p 87 2 this this DT cord-304820-q3de7r1p 87 3 model model NN cord-304820-q3de7r1p 87 4 we -PRON- PRP cord-304820-q3de7r1p 87 5 focus focus VBP cord-304820-q3de7r1p 87 6 on on IN cord-304820-q3de7r1p 87 7 the the DT cord-304820-q3de7r1p 87 8 testing testing NN cord-304820-q3de7r1p 87 9 of of IN cord-304820-q3de7r1p 87 10 the the DT cord-304820-q3de7r1p 87 11 D d NN cord-304820-q3de7r1p 87 12 - - HYPH cord-304820-q3de7r1p 87 13 individuals individual NNS cord-304820-q3de7r1p 87 14 . . . cord-304820-q3de7r1p 88 1 The the DT cord-304820-q3de7r1p 88 2 quantity quantity NN cord-304820-q3de7r1p 88 3 n(t n(t RB cord-304820-q3de7r1p 88 4 ) ) -RRB- cord-304820-q3de7r1p 89 1 σ σ NNP cord-304820-q3de7r1p 89 2 g g NNP cord-304820-q3de7r1p 89 3 D D NNP cord-304820-q3de7r1p 89 4 is be VBZ cord-304820-q3de7r1p 89 5 flux flux NN cord-304820-q3de7r1p 89 6 of of IN cord-304820-q3de7r1p 89 7 successfully successfully RB cord-304820-q3de7r1p 89 8 tested test VBN cord-304820-q3de7r1p 89 9 Dindividuals Dindividuals NNP cord-304820-q3de7r1p 89 10 which which WDT cord-304820-q3de7r1p 89 11 become become VBP cord-304820-q3de7r1p 89 12 R r NN cord-304820-q3de7r1p 89 13 - - HYPH cord-304820-q3de7r1p 89 14 individuals individual NNS cord-304820-q3de7r1p 89 15 . . . cord-304820-q3de7r1p 90 1 The the DT cord-304820-q3de7r1p 90 2 flux flux NN cord-304820-q3de7r1p 90 3 of of IN cord-304820-q3de7r1p 90 4 tested test VBN cord-304820-q3de7r1p 90 5 D d NN cord-304820-q3de7r1p 90 6 - - HYPH cord-304820-q3de7r1p 90 7 individuals individual NNS cord-304820-q3de7r1p 90 8 which which WDT cord-304820-q3de7r1p 90 9 are be VBP cord-304820-q3de7r1p 90 10 false false JJ cord-304820-q3de7r1p 90 11 negatives negative NNS cord-304820-q3de7r1p 90 12 is be VBZ cord-304820-q3de7r1p 90 13 n(t n(t RB cord-304820-q3de7r1p 90 14 ) ) -RRB- cord-304820-q3de7r1p 91 1 ( ( -LRB- cord-304820-q3de7r1p 91 2 1 1 CD cord-304820-q3de7r1p 91 3 − − NN cord-304820-q3de7r1p 91 4 σ σ NN cord-304820-q3de7r1p 91 5 ) ) -RRB- cord-304820-q3de7r1p 91 6 g g NN cord-304820-q3de7r1p 91 7 D d NN cord-304820-q3de7r1p 91 8 which which WDT cord-304820-q3de7r1p 91 9 go go VBP cord-304820-q3de7r1p 91 10 from from IN cord-304820-q3de7r1p 91 11 the the DT cord-304820-q3de7r1p 91 12 class class NN cord-304820-q3de7r1p 91 13 of of IN cord-304820-q3de7r1p 91 14 D d NN cord-304820-q3de7r1p 91 15 - - HYPH cord-304820-q3de7r1p 91 16 individuals individual NNS cord-304820-q3de7r1p 91 17 to to IN cord-304820-q3de7r1p 91 18 the the DT cord-304820-q3de7r1p 91 19 U U NNP cord-304820-q3de7r1p 91 20 -individuals -individual NNS cord-304820-q3de7r1p 91 21 . . . cord-304820-q3de7r1p 92 1 The the DT cord-304820-q3de7r1p 92 2 parameters parameter NNS cord-304820-q3de7r1p 92 3 of of IN cord-304820-q3de7r1p 92 4 the the DT cord-304820-q3de7r1p 92 5 model model NN cord-304820-q3de7r1p 92 6 and and CC cord-304820-q3de7r1p 92 7 the the DT cord-304820-q3de7r1p 92 8 initial initial JJ cord-304820-q3de7r1p 92 9 conditions condition NNS cord-304820-q3de7r1p 92 10 of of IN cord-304820-q3de7r1p 92 11 the the DT cord-304820-q3de7r1p 92 12 model model NN cord-304820-q3de7r1p 92 13 are be VBP cord-304820-q3de7r1p 92 14 listed list VBN cord-304820-q3de7r1p 92 15 in in IN cord-304820-q3de7r1p 92 16 Table Table NNP cord-304820-q3de7r1p 92 17 1 1 CD cord-304820-q3de7r1p 92 18 . . . cord-304820-q3de7r1p 93 1 Before before IN cord-304820-q3de7r1p 93 2 describing describe VBG cord-304820-q3de7r1p 93 3 our -PRON- PRP$ cord-304820-q3de7r1p 93 4 method method NN cord-304820-q3de7r1p 93 5 we -PRON- PRP cord-304820-q3de7r1p 93 6 need need VBP cord-304820-q3de7r1p 93 7 to to TO cord-304820-q3de7r1p 93 8 introduce introduce VB cord-304820-q3de7r1p 93 9 a a DT cord-304820-q3de7r1p 93 10 few few JJ cord-304820-q3de7r1p 93 11 useful useful JJ cord-304820-q3de7r1p 93 12 identities identity NNS cord-304820-q3de7r1p 93 13 . . . cord-304820-q3de7r1p 94 1 The the DT cord-304820-q3de7r1p 94 2 cumulative cumulative JJ cord-304820-q3de7r1p 94 3 number number NN cord-304820-q3de7r1p 94 4 of of IN cord-304820-q3de7r1p 94 5 reported report VBN cord-304820-q3de7r1p 94 6 cases case NNS cord-304820-q3de7r1p 94 7 is be VBZ cord-304820-q3de7r1p 94 8 obtained obtain VBN cord-304820-q3de7r1p 94 9 by by IN cord-304820-q3de7r1p 94 10 using use VBG cord-304820-q3de7r1p 94 11 the the DT cord-304820-q3de7r1p 94 12 following follow VBG cord-304820-q3de7r1p 94 13 equation equation NN cord-304820-q3de7r1p 94 14 ( ( -LRB- cord-304820-q3de7r1p 94 15 2.5 2.5 CD cord-304820-q3de7r1p 94 16 ) ) -RRB- cord-304820-q3de7r1p 94 17 3 3 CD cord-304820-q3de7r1p 95 1 All all DT cord-304820-q3de7r1p 95 2 rights right NNS cord-304820-q3de7r1p 95 3 reserved reserve VBN cord-304820-q3de7r1p 95 4 . . . cord-304820-q3de7r1p 96 1 No no DT cord-304820-q3de7r1p 96 2 reuse reuse NN cord-304820-q3de7r1p 96 3 allowed allow VBN cord-304820-q3de7r1p 96 4 without without IN cord-304820-q3de7r1p 96 5 permission permission NN cord-304820-q3de7r1p 96 6 . . . cord-304820-q3de7r1p 97 1 perpetuity perpetuity NN cord-304820-q3de7r1p 97 2 . . . cord-304820-q3de7r1p 98 1 preprint preprint NN cord-304820-q3de7r1p 98 2 ( ( -LRB- cord-304820-q3de7r1p 98 3 which which WDT cord-304820-q3de7r1p 98 4 was be VBD cord-304820-q3de7r1p 98 5 not not RB cord-304820-q3de7r1p 98 6 certified certify VBN cord-304820-q3de7r1p 98 7 by by IN cord-304820-q3de7r1p 98 8 peer peer NN cord-304820-q3de7r1p 98 9 review review NN cord-304820-q3de7r1p 98 10 ) ) -RRB- cord-304820-q3de7r1p 98 11 is be VBZ cord-304820-q3de7r1p 98 12 the the DT cord-304820-q3de7r1p 98 13 author author NN cord-304820-q3de7r1p 98 14 / / SYM cord-304820-q3de7r1p 98 15 funder funder NN cord-304820-q3de7r1p 98 16 , , , cord-304820-q3de7r1p 98 17 who who WP cord-304820-q3de7r1p 98 18 has have VBZ cord-304820-q3de7r1p 98 19 granted grant VBN cord-304820-q3de7r1p 98 20 medRxiv medRxiv NNS cord-304820-q3de7r1p 98 21 a a DT cord-304820-q3de7r1p 98 22 license license NN cord-304820-q3de7r1p 98 23 to to TO cord-304820-q3de7r1p 98 24 display display VB cord-304820-q3de7r1p 98 25 the the DT cord-304820-q3de7r1p 98 26 preprint preprint NN cord-304820-q3de7r1p 98 27 in in IN cord-304820-q3de7r1p 98 28 The the DT cord-304820-q3de7r1p 98 29 copyright copyright NN cord-304820-q3de7r1p 98 30 holder holder NN cord-304820-q3de7r1p 98 31 for for IN cord-304820-q3de7r1p 98 32 this this DT cord-304820-q3de7r1p 98 33 this this DT cord-304820-q3de7r1p 98 34 version version NN cord-304820-q3de7r1p 98 35 posted post VBD cord-304820-q3de7r1p 98 36 October October NNP cord-304820-q3de7r1p 98 37 12 12 CD cord-304820-q3de7r1p 98 38 , , , cord-304820-q3de7r1p 98 39 2020 2020 CD cord-304820-q3de7r1p 98 40 . . . cord-304820-q3de7r1p 98 41 . . . cord-304820-q3de7r1p 99 1 https://doi.org/10.1101/2020 https://doi.org/10.1101/2020 NN cord-304820-q3de7r1p 99 2 . . . cord-304820-q3de7r1p 100 1 10.10.20203034 10.10.20203034 NNP cord-304820-q3de7r1p 101 1 doi doi NNP cord-304820-q3de7r1p 101 2 : : : cord-304820-q3de7r1p 102 1 medRxiv medRxiv NNP cord-304820-q3de7r1p 102 2 preprint preprint NNP cord-304820-q3de7r1p 103 1 The the DT cord-304820-q3de7r1p 103 2 daily daily JJ cord-304820-q3de7r1p 103 3 number number NN cord-304820-q3de7r1p 103 4 of of IN cord-304820-q3de7r1p 103 5 reported report VBN cord-304820-q3de7r1p 103 6 cases case NNS cord-304820-q3de7r1p 103 7 DR DR NNP cord-304820-q3de7r1p 103 8 ( ( -LRB- cord-304820-q3de7r1p 103 9 t t NN cord-304820-q3de7r1p 103 10 ) ) -RRB- cord-304820-q3de7r1p 103 11 is be VBZ cord-304820-q3de7r1p 103 12 given give VBN cord-304820-q3de7r1p 103 13 by by IN cord-304820-q3de7r1p 103 14 ( ( -LRB- cord-304820-q3de7r1p 103 15 2.6 2.6 CD cord-304820-q3de7r1p 103 16 ) ) -RRB- cord-304820-q3de7r1p 104 1 The the DT cord-304820-q3de7r1p 104 2 cumulative cumulative JJ cord-304820-q3de7r1p 104 3 number number NN cord-304820-q3de7r1p 104 4 of of IN cord-304820-q3de7r1p 104 5 detectable detectable JJ cord-304820-q3de7r1p 104 6 cases case NNS cord-304820-q3de7r1p 104 7 is be VBZ cord-304820-q3de7r1p 104 8 given give VBN cord-304820-q3de7r1p 104 9 by by IN cord-304820-q3de7r1p 104 10 and and CC cord-304820-q3de7r1p 104 11 the the DT cord-304820-q3de7r1p 104 12 cumulative cumulative JJ cord-304820-q3de7r1p 104 13 number number NN cord-304820-q3de7r1p 104 14 of of IN cord-304820-q3de7r1p 104 15 undetectable undetectable JJ cord-304820-q3de7r1p 104 16 cases case NNS cord-304820-q3de7r1p 104 17 is be VBZ cord-304820-q3de7r1p 104 18 given give VBN cord-304820-q3de7r1p 104 19 by by IN cord-304820-q3de7r1p 104 20 Time Time NNP cord-304820-q3de7r1p 104 21 ( ( -LRB- cord-304820-q3de7r1p 104 22 in in IN cord-304820-q3de7r1p 104 23 days day NNS cord-304820-q3de7r1p 104 24 ) ) -RRB- cord-304820-q3de7r1p 105 1 Number number NN cord-304820-q3de7r1p 105 2 of of IN cord-304820-q3de7r1p 105 3 reported report VBN cord-304820-q3de7r1p 105 4 ( ( -LRB- cord-304820-q3de7r1p 105 5 tested test VBN cord-304820-q3de7r1p 105 6 infectious infectious JJ cord-304820-q3de7r1p 105 7 ) ) -RRB- cord-304820-q3de7r1p 105 8 cases case NNS cord-304820-q3de7r1p 105 9 at at IN cord-304820-q3de7r1p 105 10 time time NN cord-304820-q3de7r1p 106 1 t t NNP cord-304820-q3de7r1p 106 2 Cumulative cumulative JJ cord-304820-q3de7r1p 106 3 number number NN cord-304820-q3de7r1p 106 4 of of IN cord-304820-q3de7r1p 106 5 reported report VBN cord-304820-q3de7r1p 106 6 ( ( -LRB- cord-304820-q3de7r1p 106 7 tested test VBN cord-304820-q3de7r1p 106 8 infectious infectious JJ cord-304820-q3de7r1p 106 9 ) ) -RRB- cord-304820-q3de7r1p 106 10 cases case NNS cord-304820-q3de7r1p 106 11 at at IN cord-304820-q3de7r1p 106 12 time time NN cord-304820-q3de7r1p 106 13 t t NNP cord-304820-q3de7r1p 106 14 Daily Daily NNP cord-304820-q3de7r1p 106 15 number number NN cord-304820-q3de7r1p 106 16 of of IN cord-304820-q3de7r1p 106 17 reported report VBN cord-304820-q3de7r1p 106 18 ( ( -LRB- cord-304820-q3de7r1p 106 19 tested test VBN cord-304820-q3de7r1p 106 20 infectious infectious JJ cord-304820-q3de7r1p 106 21 ) ) -RRB- cord-304820-q3de7r1p 106 22 cases case NNS cord-304820-q3de7r1p 106 23 at at IN cord-304820-q3de7r1p 106 24 time time NN cord-304820-q3de7r1p 106 25 t t NNP cord-304820-q3de7r1p 106 26 Cumulative cumulative JJ cord-304820-q3de7r1p 106 27 number number NN cord-304820-q3de7r1p 106 28 of of IN cord-304820-q3de7r1p 106 29 undetectable undetectable JJ cord-304820-q3de7r1p 106 30 infectious infectious JJ cord-304820-q3de7r1p 106 31 at at IN cord-304820-q3de7r1p 106 32 time time NN cord-304820-q3de7r1p 106 33 t t NN cord-304820-q3de7r1p 106 34 ( ( -LRB- cord-304820-q3de7r1p 106 35 2.8 2.8 CD cord-304820-q3de7r1p 106 36 ) ) -RRB- cord-304820-q3de7r1p 106 37 _SP cord-304820-q3de7r1p 106 38 In in IN cord-304820-q3de7r1p 106 39 order order NN cord-304820-q3de7r1p 106 40 to to TO cord-304820-q3de7r1p 106 41 deal deal VB cord-304820-q3de7r1p 106 42 with with IN cord-304820-q3de7r1p 106 43 data datum NNS cord-304820-q3de7r1p 106 44 , , , cord-304820-q3de7r1p 106 45 we -PRON- PRP cord-304820-q3de7r1p 106 46 need need VBP cord-304820-q3de7r1p 106 47 to to TO cord-304820-q3de7r1p 106 48 understand understand VB cord-304820-q3de7r1p 106 49 how how WRB cord-304820-q3de7r1p 106 50 to to TO cord-304820-q3de7r1p 106 51 set set VB cord-304820-q3de7r1p 106 52 the the DT cord-304820-q3de7r1p 106 53 parameters parameter NNS cord-304820-q3de7r1p 106 54 as as RB cord-304820-q3de7r1p 106 55 well well RB cord-304820-q3de7r1p 106 56 as as IN cord-304820-q3de7r1p 106 57 some some DT cord-304820-q3de7r1p 106 58 components component NNS cord-304820-q3de7r1p 106 59 of of IN cord-304820-q3de7r1p 106 60 the the DT cord-304820-q3de7r1p 106 61 initial initial JJ cord-304820-q3de7r1p 106 62 conditions condition NNS cord-304820-q3de7r1p 106 63 . . . cord-304820-q3de7r1p 107 1 In in IN cord-304820-q3de7r1p 107 2 order order NN cord-304820-q3de7r1p 107 3 to to TO cord-304820-q3de7r1p 107 4 do do VB cord-304820-q3de7r1p 107 5 so so RB cord-304820-q3de7r1p 107 6 , , , cord-304820-q3de7r1p 107 7 we -PRON- PRP cord-304820-q3de7r1p 107 8 extend extend VBP cord-304820-q3de7r1p 107 9 the the DT cord-304820-q3de7r1p 107 10 method method NN cord-304820-q3de7r1p 107 11 presented present VBN cord-304820-q3de7r1p 107 12 first first RB cord-304820-q3de7r1p 107 13 in in IN cord-304820-q3de7r1p 107 14 [ [ -LRB- cord-304820-q3de7r1p 107 15 14 14 CD cord-304820-q3de7r1p 107 16 ] ] -RRB- cord-304820-q3de7r1p 107 17 . . . cord-304820-q3de7r1p 108 1 The the DT cord-304820-q3de7r1p 108 2 main main JJ cord-304820-q3de7r1p 108 3 novelty novelty NN cord-304820-q3de7r1p 108 4 here here RB cord-304820-q3de7r1p 108 5 will will MD cord-304820-q3de7r1p 108 6 concern concern VB cord-304820-q3de7r1p 108 7 the the DT cord-304820-q3de7r1p 108 8 cumulative cumulative JJ cord-304820-q3de7r1p 108 9 number number NN cord-304820-q3de7r1p 108 10 of of IN cord-304820-q3de7r1p 108 11 tests test NNS cord-304820-q3de7r1p 108 12 which which WDT cord-304820-q3de7r1p 108 13 is be VBZ cord-304820-q3de7r1p 108 14 assumed assume VBN cord-304820-q3de7r1p 108 15 to to TO cord-304820-q3de7r1p 108 16 grow grow VB cord-304820-q3de7r1p 108 17 linearly linearly RB cord-304820-q3de7r1p 108 18 at at IN cord-304820-q3de7r1p 108 19 the the DT cord-304820-q3de7r1p 108 20 beginning beginning NN cord-304820-q3de7r1p 108 21 . . . cord-304820-q3de7r1p 109 1 This this DT cord-304820-q3de7r1p 109 2 property property NN cord-304820-q3de7r1p 109 3 is be VBZ cord-304820-q3de7r1p 109 4 satisfied satisfied JJ cord-304820-q3de7r1p 109 5 for for IN cord-304820-q3de7r1p 109 6 the the DT cord-304820-q3de7r1p 109 7 New New NNP cord-304820-q3de7r1p 109 8 - - HYPH cord-304820-q3de7r1p 109 9 York York NNP cord-304820-q3de7r1p 109 10 State State NNP cord-304820-q3de7r1p 109 11 data datum NNS cord-304820-q3de7r1p 109 12 as as IN cord-304820-q3de7r1p 109 13 we -PRON- PRP cord-304820-q3de7r1p 109 14 can can MD cord-304820-q3de7r1p 109 15 see see VB cord-304820-q3de7r1p 109 16 in in IN cord-304820-q3de7r1p 109 17 perpetuity perpetuity NN cord-304820-q3de7r1p 109 18 . . . cord-304820-q3de7r1p 110 1 preprint preprint NN cord-304820-q3de7r1p 110 2 ( ( -LRB- cord-304820-q3de7r1p 110 3 which which WDT cord-304820-q3de7r1p 110 4 was be VBD cord-304820-q3de7r1p 110 5 not not RB cord-304820-q3de7r1p 110 6 certified certify VBN cord-304820-q3de7r1p 110 7 by by IN cord-304820-q3de7r1p 110 8 peer peer NN cord-304820-q3de7r1p 110 9 review review NN cord-304820-q3de7r1p 110 10 ) ) -RRB- cord-304820-q3de7r1p 110 11 is be VBZ cord-304820-q3de7r1p 110 12 the the DT cord-304820-q3de7r1p 110 13 author author NN cord-304820-q3de7r1p 110 14 / / SYM cord-304820-q3de7r1p 110 15 funder funder NN cord-304820-q3de7r1p 110 16 , , , cord-304820-q3de7r1p 110 17 who who WP cord-304820-q3de7r1p 110 18 has have VBZ cord-304820-q3de7r1p 110 19 granted grant VBN cord-304820-q3de7r1p 110 20 medRxiv medRxiv NNS cord-304820-q3de7r1p 110 21 a a DT cord-304820-q3de7r1p 110 22 license license NN cord-304820-q3de7r1p 110 23 to to TO cord-304820-q3de7r1p 110 24 display display VB cord-304820-q3de7r1p 110 25 the the DT cord-304820-q3de7r1p 110 26 preprint preprint NN cord-304820-q3de7r1p 110 27 in in IN cord-304820-q3de7r1p 110 28 The the DT cord-304820-q3de7r1p 110 29 copyright copyright NN cord-304820-q3de7r1p 110 30 holder holder NN cord-304820-q3de7r1p 110 31 for for IN cord-304820-q3de7r1p 110 32 this this DT cord-304820-q3de7r1p 110 33 this this DT cord-304820-q3de7r1p 110 34 version version NN cord-304820-q3de7r1p 110 35 posted post VBD cord-304820-q3de7r1p 110 36 October October NNP cord-304820-q3de7r1p 110 37 12 12 CD cord-304820-q3de7r1p 110 38 , , , cord-304820-q3de7r1p 110 39 2020 2020 CD cord-304820-q3de7r1p 110 40 . . . cord-304820-q3de7r1p 110 41 . . . cord-304820-q3de7r1p 111 1 This this DT cord-304820-q3de7r1p 111 2 means mean VBZ cord-304820-q3de7r1p 111 3 that that IN cord-304820-q3de7r1p 111 4 we -PRON- PRP cord-304820-q3de7r1p 111 5 can can MD cord-304820-q3de7r1p 111 6 find find VB cord-304820-q3de7r1p 111 7 a a DT cord-304820-q3de7r1p 111 8 pair pair NN cord-304820-q3de7r1p 111 9 of of IN cord-304820-q3de7r1p 111 10 numbers number NNS cord-304820-q3de7r1p 111 11 a a DT cord-304820-q3de7r1p 111 12 and and CC cord-304820-q3de7r1p 111 13 b b LS cord-304820-q3de7r1p 111 14 such such JJ cord-304820-q3de7r1p 111 15 that that IN cord-304820-q3de7r1p 111 16 where where WRB cord-304820-q3de7r1p 111 17 a a DT cord-304820-q3de7r1p 111 18 the the DT cord-304820-q3de7r1p 111 19 daily daily JJ cord-304820-q3de7r1p 111 20 number number NN cord-304820-q3de7r1p 111 21 of of IN cord-304820-q3de7r1p 111 22 tests test NNS cord-304820-q3de7r1p 111 23 and and CC cord-304820-q3de7r1p 111 24 N N NNP cord-304820-q3de7r1p 111 25 1 1 CD cord-304820-q3de7r1p 111 26 is be VBZ cord-304820-q3de7r1p 111 27 the the DT cord-304820-q3de7r1p 111 28 cumulative cumulative JJ cord-304820-q3de7r1p 111 29 number number NN cord-304820-q3de7r1p 111 30 of of IN cord-304820-q3de7r1p 111 31 tests test NNS cord-304820-q3de7r1p 111 32 on on IN cord-304820-q3de7r1p 111 33 day day NN cord-304820-q3de7r1p 111 34 t t NN cord-304820-q3de7r1p 111 35 1 1 CD cord-304820-q3de7r1p 111 36 . . . cord-304820-q3de7r1p 112 1 By by IN cord-304820-q3de7r1p 112 2 using use VBG cord-304820-q3de7r1p 112 3 the the DT cord-304820-q3de7r1p 112 4 fact fact NN cord-304820-q3de7r1p 112 5 that that IN cord-304820-q3de7r1p 112 6 N N NNP cord-304820-q3de7r1p 112 7 ( ( -LRB- cord-304820-q3de7r1p 112 8 t t NN cord-304820-q3de7r1p 112 9 ) ) -RRB- cord-304820-q3de7r1p 112 10 = = SYM cord-304820-q3de7r1p 112 11 n(t n(t JJS cord-304820-q3de7r1p 112 12 ) ) -RRB- cord-304820-q3de7r1p 113 1 we -PRON- PRP cord-304820-q3de7r1p 113 2 deduce deduce VBP cord-304820-q3de7r1p 113 3 that that IN cord-304820-q3de7r1p 113 4 April April NNP cord-304820-q3de7r1p 113 5 . . . cord-304820-q3de7r1p 114 1 Figure figure NN cord-304820-q3de7r1p 114 2 3 3 CD cord-304820-q3de7r1p 114 3 shows show VBZ cord-304820-q3de7r1p 114 4 that that IN cord-304820-q3de7r1p 114 5 the the DT cord-304820-q3de7r1p 114 6 linear linear JJ cord-304820-q3de7r1p 114 7 growth growth NN cord-304820-q3de7r1p 114 8 assumption assumption NN cord-304820-q3de7r1p 114 9 is be VBZ cord-304820-q3de7r1p 114 10 reasonable reasonable JJ cord-304820-q3de7r1p 114 11 for for IN cord-304820-q3de7r1p 114 12 the the DT cord-304820-q3de7r1p 114 13 New New NNP cord-304820-q3de7r1p 114 14 - - HYPH cord-304820-q3de7r1p 114 15 York York NNP cord-304820-q3de7r1p 114 16 State State NNP cord-304820-q3de7r1p 114 17 cumulative cumulative JJ cord-304820-q3de7r1p 114 18 testing testing NN cord-304820-q3de7r1p 114 19 data datum NNS cord-304820-q3de7r1p 114 20 . . . cord-304820-q3de7r1p 115 1 Phenomenological phenomenological JJ cord-304820-q3de7r1p 115 2 models model NNS cord-304820-q3de7r1p 115 3 for for IN cord-304820-q3de7r1p 115 4 the the DT cord-304820-q3de7r1p 115 5 reported report VBN cord-304820-q3de7r1p 115 6 cases case NNS cord-304820-q3de7r1p 115 7 : : : cord-304820-q3de7r1p 115 8 At at IN cord-304820-q3de7r1p 115 9 the the DT cord-304820-q3de7r1p 115 10 early early JJ cord-304820-q3de7r1p 115 11 stage stage NN cord-304820-q3de7r1p 115 12 of of IN cord-304820-q3de7r1p 115 13 the the DT cord-304820-q3de7r1p 115 14 epidemic epidemic NN cord-304820-q3de7r1p 115 15 , , , cord-304820-q3de7r1p 115 16 we -PRON- PRP cord-304820-q3de7r1p 115 17 assume assume VBP cord-304820-q3de7r1p 115 18 that that IN cord-304820-q3de7r1p 115 19 all all PDT cord-304820-q3de7r1p 115 20 the the DT cord-304820-q3de7r1p 115 21 infected infected JJ cord-304820-q3de7r1p 115 22 components component NNS cord-304820-q3de7r1p 115 23 of of IN cord-304820-q3de7r1p 115 24 the the DT cord-304820-q3de7r1p 115 25 system system NN cord-304820-q3de7r1p 115 26 grow grow VB cord-304820-q3de7r1p 115 27 exponentially exponentially RB cord-304820-q3de7r1p 115 28 while while IN cord-304820-q3de7r1p 115 29 the the DT cord-304820-q3de7r1p 115 30 number number NN cord-304820-q3de7r1p 115 31 of of IN cord-304820-q3de7r1p 115 32 susceptible susceptible JJ cord-304820-q3de7r1p 115 33 remains remain NNS cord-304820-q3de7r1p 115 34 unchanged unchanged JJ cord-304820-q3de7r1p 115 35 during during IN cord-304820-q3de7r1p 115 36 a a DT cord-304820-q3de7r1p 115 37 relatively relatively RB cord-304820-q3de7r1p 115 38 short short JJ cord-304820-q3de7r1p 115 39 period period NN cord-304820-q3de7r1p 115 40 of of IN cord-304820-q3de7r1p 115 41 time time NN cord-304820-q3de7r1p 115 42 t t NN cord-304820-q3de7r1p 115 43 ∈ ∈ VB cord-304820-q3de7r1p 115 44 [ [ -LRB- cord-304820-q3de7r1p 115 45 t t NN cord-304820-q3de7r1p 115 46 1 1 CD cord-304820-q3de7r1p 115 47 , , , cord-304820-q3de7r1p 115 48 t t NNP cord-304820-q3de7r1p 115 49 2 2 CD cord-304820-q3de7r1p 115 50 ] ] -RRB- cord-304820-q3de7r1p 115 51 . . . cord-304820-q3de7r1p 116 1 Therefore therefore RB cord-304820-q3de7r1p 116 2 , , , cord-304820-q3de7r1p 116 3 we -PRON- PRP cord-304820-q3de7r1p 116 4 will will MD cord-304820-q3de7r1p 116 5 assume assume VB cord-304820-q3de7r1p 116 6 that that IN cord-304820-q3de7r1p 116 7 We -PRON- PRP cord-304820-q3de7r1p 116 8 deduce deduce VBP cord-304820-q3de7r1p 116 9 that that IN cord-304820-q3de7r1p 116 10 the the DT cord-304820-q3de7r1p 116 11 cumulative cumulative JJ cord-304820-q3de7r1p 116 12 number number NN cord-304820-q3de7r1p 116 13 of of IN cord-304820-q3de7r1p 116 14 reported report VBN cord-304820-q3de7r1p 116 15 satisfies satisfie NNS cord-304820-q3de7r1p 116 16 hence hence RB cord-304820-q3de7r1p 116 17 by by IN cord-304820-q3de7r1p 116 18 replacing replace VBG cord-304820-q3de7r1p 116 19 D(t D(t NNP cord-304820-q3de7r1p 116 20 ) ) -RRB- cord-304820-q3de7r1p 116 21 by by IN cord-304820-q3de7r1p 116 22 the the DT cord-304820-q3de7r1p 116 23 exponential exponential JJ cord-304820-q3de7r1p 116 24 formula formula NN cord-304820-q3de7r1p 116 25 ( ( -LRB- cord-304820-q3de7r1p 116 26 3.3 3.3 CD cord-304820-q3de7r1p 116 27 ) ) -RRB- cord-304820-q3de7r1p 116 28 and and CC cord-304820-q3de7r1p 116 29 it -PRON- PRP cord-304820-q3de7r1p 116 30 is be VBZ cord-304820-q3de7r1p 116 31 makes make VBZ cord-304820-q3de7r1p 116 32 sense sense NN cord-304820-q3de7r1p 116 33 to to TO cord-304820-q3de7r1p 116 34 assume assume VB cord-304820-q3de7r1p 116 35 that that IN cord-304820-q3de7r1p 116 36 CR(t CR(t NNP cord-304820-q3de7r1p 116 37 ) ) -RRB- cord-304820-q3de7r1p 116 38 − − NN cord-304820-q3de7r1p 116 39 CR(t CR(t VBD cord-304820-q3de7r1p 116 40 1 1 CD cord-304820-q3de7r1p 116 41 ) ) -RRB- cord-304820-q3de7r1p 116 42 has have VBZ cord-304820-q3de7r1p 116 43 the the DT cord-304820-q3de7r1p 116 44 following follow VBG cord-304820-q3de7r1p 116 45 form form NN cord-304820-q3de7r1p 116 46 By by IN cord-304820-q3de7r1p 116 47 identifying identify VBG cord-304820-q3de7r1p 116 48 ( ( -LRB- cord-304820-q3de7r1p 116 49 3.5 3.5 CD cord-304820-q3de7r1p 116 50 ) ) -RRB- cord-304820-q3de7r1p 116 51 and and CC cord-304820-q3de7r1p 116 52 ( ( -LRB- cord-304820-q3de7r1p 116 53 3.6 3.6 CD cord-304820-q3de7r1p 116 54 ) ) -RRB- cord-304820-q3de7r1p 116 55 we -PRON- PRP cord-304820-q3de7r1p 116 56 deduce deduce VBP cord-304820-q3de7r1p 116 57 that that IN cord-304820-q3de7r1p 116 58 _SP cord-304820-q3de7r1p 116 59 5 5 CD cord-304820-q3de7r1p 116 60 All all DT cord-304820-q3de7r1p 116 61 rights right NNS cord-304820-q3de7r1p 116 62 reserved reserve VBN cord-304820-q3de7r1p 116 63 . . . cord-304820-q3de7r1p 117 1 No no DT cord-304820-q3de7r1p 117 2 reuse reuse NN cord-304820-q3de7r1p 117 3 allowed allow VBN cord-304820-q3de7r1p 117 4 without without IN cord-304820-q3de7r1p 117 5 permission permission NN cord-304820-q3de7r1p 117 6 . . . cord-304820-q3de7r1p 118 1 perpetuity perpetuity NN cord-304820-q3de7r1p 118 2 . . . cord-304820-q3de7r1p 119 1 preprint preprint NN cord-304820-q3de7r1p 119 2 ( ( -LRB- cord-304820-q3de7r1p 119 3 which which WDT cord-304820-q3de7r1p 119 4 was be VBD cord-304820-q3de7r1p 119 5 not not RB cord-304820-q3de7r1p 119 6 certified certify VBN cord-304820-q3de7r1p 119 7 by by IN cord-304820-q3de7r1p 119 8 peer peer NN cord-304820-q3de7r1p 119 9 review review NN cord-304820-q3de7r1p 119 10 ) ) -RRB- cord-304820-q3de7r1p 119 11 is be VBZ cord-304820-q3de7r1p 119 12 the the DT cord-304820-q3de7r1p 119 13 author author NN cord-304820-q3de7r1p 119 14 / / SYM cord-304820-q3de7r1p 119 15 funder funder NN cord-304820-q3de7r1p 119 16 , , , cord-304820-q3de7r1p 119 17 who who WP cord-304820-q3de7r1p 119 18 has have VBZ cord-304820-q3de7r1p 119 19 granted grant VBN cord-304820-q3de7r1p 119 20 medRxiv medRxiv NNS cord-304820-q3de7r1p 119 21 a a DT cord-304820-q3de7r1p 119 22 license license NN cord-304820-q3de7r1p 119 23 to to TO cord-304820-q3de7r1p 119 24 display display VB cord-304820-q3de7r1p 119 25 the the DT cord-304820-q3de7r1p 119 26 preprint preprint NN cord-304820-q3de7r1p 119 27 in in IN cord-304820-q3de7r1p 119 28 The the DT cord-304820-q3de7r1p 119 29 copyright copyright NN cord-304820-q3de7r1p 119 30 holder holder NN cord-304820-q3de7r1p 119 31 for for IN cord-304820-q3de7r1p 119 32 this this DT cord-304820-q3de7r1p 119 33 this this DT cord-304820-q3de7r1p 119 34 version version NN cord-304820-q3de7r1p 119 35 posted post VBD cord-304820-q3de7r1p 119 36 October October NNP cord-304820-q3de7r1p 119 37 12 12 CD cord-304820-q3de7r1p 119 38 , , , cord-304820-q3de7r1p 119 39 2020 2020 CD cord-304820-q3de7r1p 119 40 . . . cord-304820-q3de7r1p 119 41 . . . cord-304820-q3de7r1p 120 1 https://doi.org/10.1101/2020.10.10.20203034 https://doi.org/10.1101/2020.10.10.20203034 DT cord-304820-q3de7r1p 121 1 doi doi NNP cord-304820-q3de7r1p 121 2 : : : cord-304820-q3de7r1p 122 1 medRxiv medRxiv NNP cord-304820-q3de7r1p 122 2 preprint preprint NNP cord-304820-q3de7r1p 123 1 By by IN cord-304820-q3de7r1p 123 2 using use VBG cord-304820-q3de7r1p 123 3 ( ( -LRB- cord-304820-q3de7r1p 123 4 3.3 3.3 CD cord-304820-q3de7r1p 123 5 ) ) -RRB- cord-304820-q3de7r1p 123 6 we -PRON- PRP cord-304820-q3de7r1p 123 7 obtain obtain VBP cord-304820-q3de7r1p 123 8 ( ( -LRB- cord-304820-q3de7r1p 123 9 3.8 3.8 CD cord-304820-q3de7r1p 123 10 ) ) -RRB- cord-304820-q3de7r1p 123 11 Finally finally RB cord-304820-q3de7r1p 123 12 by by IN cord-304820-q3de7r1p 123 13 using use VBG cord-304820-q3de7r1p 123 14 ( ( -LRB- cord-304820-q3de7r1p 123 15 3.7 3.7 CD cord-304820-q3de7r1p 123 16 ) ) -RRB- cord-304820-q3de7r1p 123 17 D d NN cord-304820-q3de7r1p 123 18 1 1 CD cord-304820-q3de7r1p 123 19 = = NFP cord-304820-q3de7r1p 124 1 χ χ LS cord-304820-q3de7r1p 124 2 2 2 CD cord-304820-q3de7r1p 124 3 χ χ CD cord-304820-q3de7r1p 124 4 3 3 CD cord-304820-q3de7r1p 124 5 σ σ NN cord-304820-q3de7r1p 124 6 a a DT cord-304820-q3de7r1p 124 7 g g NN cord-304820-q3de7r1p 124 8 . . . cord-304820-q3de7r1p 125 1 ( ( -LRB- cord-304820-q3de7r1p 125 2 3.9 3.9 CD cord-304820-q3de7r1p 125 3 ) ) -RRB- cord-304820-q3de7r1p 125 4 and and CC cord-304820-q3de7r1p 125 5 by by IN cord-304820-q3de7r1p 125 6 using use VBG cord-304820-q3de7r1p 125 7 ( ( -LRB- cord-304820-q3de7r1p 125 8 3.8 3.8 CD cord-304820-q3de7r1p 125 9 ) ) -RRB- cord-304820-q3de7r1p 125 10 we -PRON- PRP cord-304820-q3de7r1p 125 11 obtain obtain VBP cord-304820-q3de7r1p 125 12 ( ( -LRB- cord-304820-q3de7r1p 125 13 3.10 3.10 CD cord-304820-q3de7r1p 125 14 ) ) -RRB- cord-304820-q3de7r1p 126 1 We -PRON- PRP cord-304820-q3de7r1p 126 2 assume assume VBP cord-304820-q3de7r1p 126 3 that that IN cord-304820-q3de7r1p 126 4 the the DT cord-304820-q3de7r1p 126 5 transmission transmission NN cord-304820-q3de7r1p 126 6 coefficient coefficient NN cord-304820-q3de7r1p 126 7 takes take VBZ cord-304820-q3de7r1p 126 8 the the DT cord-304820-q3de7r1p 126 9 form form NN cord-304820-q3de7r1p 126 10 where where WRB cord-304820-q3de7r1p 126 11 τ τ NN cord-304820-q3de7r1p 126 12 0 0 NFP cord-304820-q3de7r1p 126 13 > > XX cord-304820-q3de7r1p 126 14 0 0 NFP cord-304820-q3de7r1p 126 15 is be VBZ cord-304820-q3de7r1p 126 16 the the DT cord-304820-q3de7r1p 126 17 initial initial JJ cord-304820-q3de7r1p 126 18 transmission transmission NN cord-304820-q3de7r1p 126 19 coefficient coefficient NN cord-304820-q3de7r1p 126 20 , , , cord-304820-q3de7r1p 126 21 T t NN cord-304820-q3de7r1p 126 22 m m NN cord-304820-q3de7r1p 126 23 > > XX cord-304820-q3de7r1p 126 24 0 0 NFP cord-304820-q3de7r1p 126 25 is be VBZ cord-304820-q3de7r1p 126 26 the the DT cord-304820-q3de7r1p 126 27 time time NN cord-304820-q3de7r1p 126 28 at at IN cord-304820-q3de7r1p 126 29 which which WDT cord-304820-q3de7r1p 126 30 the the DT cord-304820-q3de7r1p 126 31 social social JJ cord-304820-q3de7r1p 126 32 distancing distancing NN cord-304820-q3de7r1p 126 33 starts start VBZ cord-304820-q3de7r1p 126 34 in in IN cord-304820-q3de7r1p 126 35 the the DT cord-304820-q3de7r1p 126 36 population population NN cord-304820-q3de7r1p 126 37 , , , cord-304820-q3de7r1p 127 1 µ µ NN cord-304820-q3de7r1p 127 2 > > XX cord-304820-q3de7r1p 127 3 0 0 NFP cord-304820-q3de7r1p 127 4 is be VBZ cord-304820-q3de7r1p 127 5 serving serve VBG cord-304820-q3de7r1p 127 6 to to TO cord-304820-q3de7r1p 127 7 modulate modulate VB cord-304820-q3de7r1p 127 8 the the DT cord-304820-q3de7r1p 127 9 speed speed NN cord-304820-q3de7r1p 127 10 at at IN cord-304820-q3de7r1p 127 11 which which WDT cord-304820-q3de7r1p 127 12 this this DT cord-304820-q3de7r1p 127 13 social social JJ cord-304820-q3de7r1p 127 14 distancing distancing NN cord-304820-q3de7r1p 127 15 is be VBZ cord-304820-q3de7r1p 127 16 taking take VBG cord-304820-q3de7r1p 127 17 place place NN cord-304820-q3de7r1p 127 18 . . . cord-304820-q3de7r1p 128 1 To to TO cord-304820-q3de7r1p 128 2 take take VB cord-304820-q3de7r1p 128 3 into into IN cord-304820-q3de7r1p 128 4 account account NN cord-304820-q3de7r1p 128 5 the the DT cord-304820-q3de7r1p 128 6 effect effect NN cord-304820-q3de7r1p 128 7 of of IN cord-304820-q3de7r1p 128 8 social social JJ cord-304820-q3de7r1p 128 9 distancing distancing NN cord-304820-q3de7r1p 128 10 and and CC cord-304820-q3de7r1p 128 11 public public JJ cord-304820-q3de7r1p 128 12 measures measure NNS cord-304820-q3de7r1p 128 13 , , , cord-304820-q3de7r1p 128 14 we -PRON- PRP cord-304820-q3de7r1p 128 15 assume assume VBP cord-304820-q3de7r1p 128 16 that that IN cord-304820-q3de7r1p 128 17 the the DT cord-304820-q3de7r1p 128 18 transmission transmission NN cord-304820-q3de7r1p 128 19 coefficient coefficient NN cord-304820-q3de7r1p 128 20 τ τ NN cord-304820-q3de7r1p 128 21 ( ( -LRB- cord-304820-q3de7r1p 128 22 t t NN cord-304820-q3de7r1p 128 23 ) ) -RRB- cord-304820-q3de7r1p 128 24 can can MD cord-304820-q3de7r1p 128 25 be be VB cord-304820-q3de7r1p 128 26 modulated modulate VBN cord-304820-q3de7r1p 128 27 by by IN cord-304820-q3de7r1p 128 28 γ γ NN cord-304820-q3de7r1p 128 29 . . . cord-304820-q3de7r1p 129 1 Indeed indeed RB cord-304820-q3de7r1p 129 2 by by IN cord-304820-q3de7r1p 129 3 the the DT cord-304820-q3de7r1p 129 4 closing closing NN cord-304820-q3de7r1p 129 5 of of IN cord-304820-q3de7r1p 129 6 schools school NNS cord-304820-q3de7r1p 129 7 and and CC cord-304820-q3de7r1p 129 8 non non JJ cord-304820-q3de7r1p 129 9 - - JJ cord-304820-q3de7r1p 129 10 essential essential JJ cord-304820-q3de7r1p 129 11 shops shop NNS cord-304820-q3de7r1p 129 12 and and CC cord-304820-q3de7r1p 129 13 by by IN cord-304820-q3de7r1p 129 14 imposing impose VBG cord-304820-q3de7r1p 129 15 social social JJ cord-304820-q3de7r1p 129 16 distancing distance VBG cord-304820-q3de7r1p 129 17 the the DT cord-304820-q3de7r1p 129 18 population population NN cord-304820-q3de7r1p 129 19 of of IN cord-304820-q3de7r1p 129 20 the the DT cord-304820-q3de7r1p 129 21 New New NNP cord-304820-q3de7r1p 129 22 - - HYPH cord-304820-q3de7r1p 129 23 York York NNP cord-304820-q3de7r1p 129 24 State State NNP cord-304820-q3de7r1p 129 25 , , , cord-304820-q3de7r1p 129 26 the the DT cord-304820-q3de7r1p 129 27 number number NN cord-304820-q3de7r1p 129 28 of of IN cord-304820-q3de7r1p 129 29 contacts contact NNS cord-304820-q3de7r1p 129 30 per per IN cord-304820-q3de7r1p 129 31 day day NN cord-304820-q3de7r1p 129 32 is be VBZ cord-304820-q3de7r1p 129 33 reduced reduce VBN cord-304820-q3de7r1p 129 34 . . . cord-304820-q3de7r1p 130 1 This this DT cord-304820-q3de7r1p 130 2 effect effect NN cord-304820-q3de7r1p 130 3 was be VBD cord-304820-q3de7r1p 130 4 visible visible JJ cord-304820-q3de7r1p 130 5 on on IN cord-304820-q3de7r1p 130 6 the the DT cord-304820-q3de7r1p 130 7 news news NN cord-304820-q3de7r1p 130 8 during during IN cord-304820-q3de7r1p 130 9 the the DT cord-304820-q3de7r1p 130 10 first first JJ cord-304820-q3de7r1p 130 11 wave wave NN cord-304820-q3de7r1p 130 12 of of IN cord-304820-q3de7r1p 130 13 the the DT cord-304820-q3de7r1p 130 14 COVID-19 covid-19 JJ cord-304820-q3de7r1p 130 15 epidemic epidemic NN cord-304820-q3de7r1p 130 16 in in IN cord-304820-q3de7r1p 130 17 New New NNP cord-304820-q3de7r1p 130 18 - - HYPH cord-304820-q3de7r1p 130 19 York York NNP cord-304820-q3de7r1p 130 20 city city NN cord-304820-q3de7r1p 130 21 since since IN cord-304820-q3de7r1p 130 22 the the DT cord-304820-q3de7r1p 130 23 streets street NNS cord-304820-q3de7r1p 130 24 were be VBD cord-304820-q3de7r1p 130 25 almost almost RB cord-304820-q3de7r1p 130 26 empty empty JJ cord-304820-q3de7r1p 130 27 at at IN cord-304820-q3de7r1p 130 28 some some DT cord-304820-q3de7r1p 130 29 point point NN cord-304820-q3de7r1p 130 30 . . . cord-304820-q3de7r1p 131 1 The the DT cord-304820-q3de7r1p 131 2 parameter parameter NN cord-304820-q3de7r1p 131 3 γ γ NN cord-304820-q3de7r1p 131 4 > > XX cord-304820-q3de7r1p 131 5 0 0 NFP cord-304820-q3de7r1p 131 6 is be VBZ cord-304820-q3de7r1p 131 7 the the DT cord-304820-q3de7r1p 131 8 percentage percentage NN cord-304820-q3de7r1p 131 9 of of IN cord-304820-q3de7r1p 131 10 the the DT cord-304820-q3de7r1p 131 11 number number NN cord-304820-q3de7r1p 131 12 of of IN cord-304820-q3de7r1p 131 13 transmissions transmission NNS cord-304820-q3de7r1p 131 14 that that WDT cord-304820-q3de7r1p 131 15 remain remain VBP cord-304820-q3de7r1p 131 16 after after IN cord-304820-q3de7r1p 131 17 a a DT cord-304820-q3de7r1p 131 18 transition transition NN cord-304820-q3de7r1p 131 19 period period NN cord-304820-q3de7r1p 131 20 ( ( -LRB- cord-304820-q3de7r1p 131 21 depending depend VBG cord-304820-q3de7r1p 131 22 on on IN cord-304820-q3de7r1p 131 23 µ µ NN cord-304820-q3de7r1p 131 24 ) ) -RRB- cord-304820-q3de7r1p 131 25 , , , cord-304820-q3de7r1p 131 26 compared compare VBN cord-304820-q3de7r1p 131 27 to to IN cord-304820-q3de7r1p 131 28 a a DT cord-304820-q3de7r1p 131 29 normal normal JJ cord-304820-q3de7r1p 131 30 situation situation NN cord-304820-q3de7r1p 131 31 . . . cord-304820-q3de7r1p 132 1 A a DT cord-304820-q3de7r1p 132 2 similar similar JJ cord-304820-q3de7r1p 132 3 non non JJ cord-304820-q3de7r1p 132 4 - - JJ cord-304820-q3de7r1p 132 5 constant constant JJ cord-304820-q3de7r1p 132 6 transmission transmission NN cord-304820-q3de7r1p 132 7 rate rate NN cord-304820-q3de7r1p 132 8 was be VBD cord-304820-q3de7r1p 132 9 considered consider VBN cord-304820-q3de7r1p 132 10 by by IN cord-304820-q3de7r1p 132 11 Chowell Chowell NNP cord-304820-q3de7r1p 132 12 et et FW cord-304820-q3de7r1p 132 13 al al NNP cord-304820-q3de7r1p 132 14 . . . cord-304820-q3de7r1p 133 1 [ [ -LRB- cord-304820-q3de7r1p 133 2 8 8 CD cord-304820-q3de7r1p 133 3 ] ] -RRB- cord-304820-q3de7r1p 133 4 . . . cord-304820-q3de7r1p 134 1 In in IN cord-304820-q3de7r1p 134 2 Figure figure NN cord-304820-q3de7r1p 134 3 5 5 CD cord-304820-q3de7r1p 134 4 we -PRON- PRP cord-304820-q3de7r1p 134 5 consider consider VBP cord-304820-q3de7r1p 134 6 a a DT cord-304820-q3de7r1p 134 7 constant constant JJ cord-304820-q3de7r1p 134 8 transmission transmission NN cord-304820-q3de7r1p 134 9 rate rate NN cord-304820-q3de7r1p 134 10 τ τ NN cord-304820-q3de7r1p 135 1 ( ( -LRB- cord-304820-q3de7r1p 135 2 t t NN cord-304820-q3de7r1p 135 3 ) ) -RRB- cord-304820-q3de7r1p 135 4 ≡ ≡ NN cord-304820-q3de7r1p 135 5 τ τ NN cord-304820-q3de7r1p 135 6 0 0 NFP cord-304820-q3de7r1p 135 7 which which WDT cord-304820-q3de7r1p 135 8 corresponds correspond VBZ cord-304820-q3de7r1p 135 9 to to IN cord-304820-q3de7r1p 135 10 γ γ NN cord-304820-q3de7r1p 135 11 = = SYM cord-304820-q3de7r1p 135 12 1 1 CD cord-304820-q3de7r1p 135 13 in in IN cord-304820-q3de7r1p 135 14 ( ( -LRB- cord-304820-q3de7r1p 135 15 4.1 4.1 CD cord-304820-q3de7r1p 135 16 ) ) -RRB- cord-304820-q3de7r1p 135 17 . . . cord-304820-q3de7r1p 136 1 In in IN cord-304820-q3de7r1p 136 2 order order NN cord-304820-q3de7r1p 136 3 to to TO cord-304820-q3de7r1p 136 4 evaluate evaluate VB cord-304820-q3de7r1p 136 5 the the DT cord-304820-q3de7r1p 136 6 distance distance NN cord-304820-q3de7r1p 136 7 between between IN cord-304820-q3de7r1p 136 8 the the DT cord-304820-q3de7r1p 136 9 model model NN cord-304820-q3de7r1p 136 10 and and CC cord-304820-q3de7r1p 136 11 the the DT cord-304820-q3de7r1p 136 12 data datum NNS cord-304820-q3de7r1p 136 13 , , , cord-304820-q3de7r1p 136 14 we -PRON- PRP cord-304820-q3de7r1p 136 15 compare compare VBP cord-304820-q3de7r1p 136 16 the the DT cord-304820-q3de7r1p 136 17 distance distance NN cord-304820-q3de7r1p 136 18 between between IN cord-304820-q3de7r1p 136 19 the the DT cord-304820-q3de7r1p 136 20 cumulative cumulative JJ cord-304820-q3de7r1p 136 21 number number NN cord-304820-q3de7r1p 136 22 of of IN cord-304820-q3de7r1p 136 23 cases case NNS cord-304820-q3de7r1p 136 24 CR CR NNP cord-304820-q3de7r1p 136 25 produced produce VBN cord-304820-q3de7r1p 136 26 by by IN cord-304820-q3de7r1p 136 27 the the DT cord-304820-q3de7r1p 136 28 model model NN cord-304820-q3de7r1p 136 29 and and CC cord-304820-q3de7r1p 136 30 the the DT cord-304820-q3de7r1p 136 31 data datum NNS cord-304820-q3de7r1p 136 32 ( ( -LRB- cord-304820-q3de7r1p 136 33 see see VB cord-304820-q3de7r1p 136 34 the the DT cord-304820-q3de7r1p 136 35 orange orange NNP cord-304820-q3de7r1p 136 36 dots dot NNS cord-304820-q3de7r1p 136 37 and and CC cord-304820-q3de7r1p 136 38 orange orange NN cord-304820-q3de7r1p 136 39 curve curve NN cord-304820-q3de7r1p 136 40 in in IN cord-304820-q3de7r1p 136 41 Figure Figure NNP cord-304820-q3de7r1p 136 42 _SP cord-304820-q3de7r1p 136 43 5-(a 5-(a NNP cord-304820-q3de7r1p 136 44 ) ) -RRB- cord-304820-q3de7r1p 136 45 ) ) -RRB- cord-304820-q3de7r1p 136 46 . . . cord-304820-q3de7r1p 137 1 In in IN cord-304820-q3de7r1p 137 2 Figure figure NN cord-304820-q3de7r1p 137 3 5 5 CD cord-304820-q3de7r1p 137 4 -(c -(c . cord-304820-q3de7r1p 137 5 ) ) -RRB- cord-304820-q3de7r1p 137 6 we -PRON- PRP cord-304820-q3de7r1p 137 7 can can MD cord-304820-q3de7r1p 137 8 observe observe VB cord-304820-q3de7r1p 137 9 that that IN cord-304820-q3de7r1p 137 10 the the DT cord-304820-q3de7r1p 137 11 cumulative cumulative JJ cord-304820-q3de7r1p 137 12 number number NN cord-304820-q3de7r1p 137 13 of of IN cord-304820-q3de7r1p 137 14 cases case NNS cord-304820-q3de7r1p 137 15 increases increase VBZ cord-304820-q3de7r1p 137 16 up up RP cord-304820-q3de7r1p 137 17 more more JJR cord-304820-q3de7r1p 137 18 than than IN cord-304820-q3de7r1p 137 19 14 14 CD cord-304820-q3de7r1p 137 20 millions million NNS cord-304820-q3de7r1p 137 21 of of IN cord-304820-q3de7r1p 137 22 people people NNS cord-304820-q3de7r1p 137 23 , , , cord-304820-q3de7r1p 137 24 which which WDT cord-304820-q3de7r1p 137 25 indeed indeed RB cord-304820-q3de7r1p 137 26 is be VBZ cord-304820-q3de7r1p 137 27 not not RB cord-304820-q3de7r1p 137 28 realistic realistic JJ cord-304820-q3de7r1p 137 29 . . . cord-304820-q3de7r1p 138 1 Nevertheless nevertheless RB cord-304820-q3de7r1p 138 2 by by IN cord-304820-q3de7r1p 138 3 choosing choose VBG cord-304820-q3de7r1p 138 4 the the DT cord-304820-q3de7r1p 138 5 parameter parameter NN cord-304820-q3de7r1p 138 6 g g NN cord-304820-q3de7r1p 138 7 = = SYM cord-304820-q3de7r1p 138 8 3.08 3.08 CD cord-304820-q3de7r1p 138 9 × × NN cord-304820-q3de7r1p 138 10 10 10 CD cord-304820-q3de7r1p 138 11 −7 −7 NNP cord-304820-q3de7r1p 138 12 = = SYM cord-304820-q3de7r1p 138 13 1/ 1/ CD cord-304820-q3de7r1p 138 14 S0 S0 NNP cord-304820-q3de7r1p 138 15 6 6 CD cord-304820-q3de7r1p 138 16 in in IN cord-304820-q3de7r1p 138 17 Figure figure NN cord-304820-q3de7r1p 138 18 5 5 CD cord-304820-q3de7r1p 138 19 -(d -(d : cord-304820-q3de7r1p 138 20 ) ) -RRB- cord-304820-q3de7r1p 138 21 we -PRON- PRP cord-304820-q3de7r1p 138 22 can can MD cord-304820-q3de7r1p 138 23 see see VB cord-304820-q3de7r1p 138 24 that that IN cord-304820-q3de7r1p 138 25 the the DT cord-304820-q3de7r1p 138 26 orange orange JJ cord-304820-q3de7r1p 138 27 dots dot NNS cord-304820-q3de7r1p 138 28 and and CC cord-304820-q3de7r1p 138 29 the the DT cord-304820-q3de7r1p 138 30 blue blue JJ cord-304820-q3de7r1p 138 31 curve curve NN cord-304820-q3de7r1p 138 32 match match NN cord-304820-q3de7r1p 138 33 very very RB cord-304820-q3de7r1p 138 34 well well RB cord-304820-q3de7r1p 138 35 . . . cord-304820-q3de7r1p 139 1 6 6 CD cord-304820-q3de7r1p 140 1 All all DT cord-304820-q3de7r1p 140 2 rights right NNS cord-304820-q3de7r1p 140 3 reserved reserve VBN cord-304820-q3de7r1p 140 4 . . . cord-304820-q3de7r1p 141 1 No no DT cord-304820-q3de7r1p 141 2 reuse reuse NN cord-304820-q3de7r1p 141 3 allowed allow VBN cord-304820-q3de7r1p 141 4 without without IN cord-304820-q3de7r1p 141 5 permission permission NN cord-304820-q3de7r1p 141 6 . . . cord-304820-q3de7r1p 142 1 perpetuity perpetuity NN cord-304820-q3de7r1p 142 2 . . . cord-304820-q3de7r1p 143 1 preprint preprint NN cord-304820-q3de7r1p 143 2 ( ( -LRB- cord-304820-q3de7r1p 143 3 which which WDT cord-304820-q3de7r1p 143 4 was be VBD cord-304820-q3de7r1p 143 5 not not RB cord-304820-q3de7r1p 143 6 certified certify VBN cord-304820-q3de7r1p 143 7 by by IN cord-304820-q3de7r1p 143 8 peer peer NN cord-304820-q3de7r1p 143 9 review review NN cord-304820-q3de7r1p 143 10 ) ) -RRB- cord-304820-q3de7r1p 143 11 is be VBZ cord-304820-q3de7r1p 143 12 the the DT cord-304820-q3de7r1p 143 13 author author NN cord-304820-q3de7r1p 143 14 / / SYM cord-304820-q3de7r1p 143 15 funder funder NN cord-304820-q3de7r1p 143 16 , , , cord-304820-q3de7r1p 143 17 who who WP cord-304820-q3de7r1p 143 18 has have VBZ cord-304820-q3de7r1p 143 19 granted grant VBN cord-304820-q3de7r1p 143 20 medRxiv medRxiv NNS cord-304820-q3de7r1p 143 21 a a DT cord-304820-q3de7r1p 143 22 license license NN cord-304820-q3de7r1p 143 23 to to TO cord-304820-q3de7r1p 143 24 display display VB cord-304820-q3de7r1p 143 25 the the DT cord-304820-q3de7r1p 143 26 preprint preprint NN cord-304820-q3de7r1p 143 27 in in IN cord-304820-q3de7r1p 143 28 The the DT cord-304820-q3de7r1p 143 29 copyright copyright NN cord-304820-q3de7r1p 143 30 holder holder NN cord-304820-q3de7r1p 143 31 for for IN cord-304820-q3de7r1p 143 32 this this DT cord-304820-q3de7r1p 143 33 this this DT cord-304820-q3de7r1p 143 34 version version NN cord-304820-q3de7r1p 143 35 posted post VBD cord-304820-q3de7r1p 143 36 October October NNP cord-304820-q3de7r1p 143 37 12 12 CD cord-304820-q3de7r1p 143 38 , , , cord-304820-q3de7r1p 143 39 2020 2020 CD cord-304820-q3de7r1p 143 40 . . . cord-304820-q3de7r1p 143 41 _SP cord-304820-q3de7r1p 144 1 we -PRON- PRP cord-304820-q3de7r1p 144 2 plot plot VBP cord-304820-q3de7r1p 144 3 the the DT cord-304820-q3de7r1p 144 4 number number NN cord-304820-q3de7r1p 144 5 of of IN cord-304820-q3de7r1p 144 6 cases case NNS cord-304820-q3de7r1p 144 7 obtained obtain VBN cord-304820-q3de7r1p 144 8 from from IN cord-304820-q3de7r1p 144 9 the the DT cord-304820-q3de7r1p 144 10 model model NN cord-304820-q3de7r1p 144 11 . . . cord-304820-q3de7r1p 145 1 We -PRON- PRP cord-304820-q3de7r1p 145 2 can can MD cord-304820-q3de7r1p 145 3 observe observe VB cord-304820-q3de7r1p 145 4 that that IN cord-304820-q3de7r1p 145 5 most most JJS cord-304820-q3de7r1p 145 6 of of IN cord-304820-q3de7r1p 145 7 the the DT cord-304820-q3de7r1p 145 8 cases case NNS cord-304820-q3de7r1p 145 9 are be VBP cord-304820-q3de7r1p 145 10 unreported unreported JJ cord-304820-q3de7r1p 145 11 . . . cord-304820-q3de7r1p 146 1 In in IN cord-304820-q3de7r1p 146 2 figure figure NN cord-304820-q3de7r1p 146 3 ( ( -LRB- cord-304820-q3de7r1p 146 4 d d NN cord-304820-q3de7r1p 146 5 ) ) -RRB- cord-304820-q3de7r1p 146 6 we -PRON- PRP cord-304820-q3de7r1p 146 7 plot plot VBP cord-304820-q3de7r1p 146 8 the the DT cord-304820-q3de7r1p 146 9 daily daily JJ cord-304820-q3de7r1p 146 10 number number NN cord-304820-q3de7r1p 146 11 of of IN cord-304820-q3de7r1p 146 12 tests test NNS cord-304820-q3de7r1p 146 13 ( ( -LRB- cord-304820-q3de7r1p 146 14 black black JJ cord-304820-q3de7r1p 146 15 dots dot NNS cord-304820-q3de7r1p 146 16 ) ) -RRB- cord-304820-q3de7r1p 146 17 , , , cord-304820-q3de7r1p 146 18 the the DT cord-304820-q3de7r1p 146 19 daily daily JJ cord-304820-q3de7r1p 146 20 number number NN cord-304820-q3de7r1p 146 21 of of IN cord-304820-q3de7r1p 146 22 positive positive JJ cord-304820-q3de7r1p 146 23 cases case NNS cord-304820-q3de7r1p 146 24 ( ( -LRB- cord-304820-q3de7r1p 146 25 red red JJ cord-304820-q3de7r1p 146 26 dots dot NNS cord-304820-q3de7r1p 146 27 ) ) -RRB- cord-304820-q3de7r1p 146 28 for for IN cord-304820-q3de7r1p 146 29 the the DT cord-304820-q3de7r1p 146 30 state state NN cord-304820-q3de7r1p 146 31 of of IN cord-304820-q3de7r1p 146 32 New New NNP cord-304820-q3de7r1p 146 33 - - NNP cord-304820-q3de7r1p 146 34 York York NNP cord-304820-q3de7r1p 146 35 and and CC cord-304820-q3de7r1p 146 36 the the DT cord-304820-q3de7r1p 146 37 daily daily JJ cord-304820-q3de7r1p 146 38 number number NN cord-304820-q3de7r1p 146 39 of of IN cord-304820-q3de7r1p 146 40 cases case NNS cord-304820-q3de7r1p 146 41 DD(t DD(t NNP cord-304820-q3de7r1p 146 42 ) ) -RRB- cord-304820-q3de7r1p 146 43 obtained obtain VBD cord-304820-q3de7r1p 146 44 from from IN cord-304820-q3de7r1p 146 45 the the DT cord-304820-q3de7r1p 146 46 data datum NNS cord-304820-q3de7r1p 146 47 . . . cord-304820-q3de7r1p 147 1 In in IN cord-304820-q3de7r1p 147 2 the the DT cord-304820-q3de7r1p 147 3 rest rest NN cord-304820-q3de7r1p 147 4 of of IN cord-304820-q3de7r1p 147 5 this this DT cord-304820-q3de7r1p 147 6 section section NN cord-304820-q3de7r1p 147 7 , , , cord-304820-q3de7r1p 147 8 we -PRON- PRP cord-304820-q3de7r1p 147 9 focus focus VBP cord-304820-q3de7r1p 147 10 on on IN cord-304820-q3de7r1p 147 11 the the DT cord-304820-q3de7r1p 147 12 model model NN cord-304820-q3de7r1p 147 13 with with IN cord-304820-q3de7r1p 147 14 confinement confinement NN cord-304820-q3de7r1p 147 15 ( ( -LRB- cord-304820-q3de7r1p 147 16 or or CC cord-304820-q3de7r1p 147 17 social social JJ cord-304820-q3de7r1p 147 18 distancing distancing NN cord-304820-q3de7r1p 147 19 ) ) -RRB- cord-304820-q3de7r1p 147 20 measures measure NNS cord-304820-q3de7r1p 147 21 . . . cord-304820-q3de7r1p 148 1 We -PRON- PRP cord-304820-q3de7r1p 148 2 assume assume VBP cord-304820-q3de7r1p 148 3 that that IN cord-304820-q3de7r1p 148 4 such such JJ cord-304820-q3de7r1p 148 5 social social JJ cord-304820-q3de7r1p 148 6 distancing distance VBG cord-304820-q3de7r1p 148 7 measures measure NNS cord-304820-q3de7r1p 148 8 have have VBP cord-304820-q3de7r1p 148 9 a a DT cord-304820-q3de7r1p 148 10 strong strong JJ cord-304820-q3de7r1p 148 11 impact impact NN cord-304820-q3de7r1p 148 12 on on IN cord-304820-q3de7r1p 148 13 the the DT cord-304820-q3de7r1p 148 14 transmission transmission NN cord-304820-q3de7r1p 148 15 rate rate NN cord-304820-q3de7r1p 148 16 by by IN cord-304820-q3de7r1p 148 17 assuming assume VBG cord-304820-q3de7r1p 148 18 that that IN cord-304820-q3de7r1p 148 19 γ γ NN cord-304820-q3de7r1p 148 20 = = SYM cord-304820-q3de7r1p 148 21 0.2 0.2 CD cord-304820-q3de7r1p 148 22 < < XX cord-304820-q3de7r1p 148 23 1 1 CD cord-304820-q3de7r1p 148 24 . . . cord-304820-q3de7r1p 149 1 It -PRON- PRP cord-304820-q3de7r1p 149 2 means mean VBZ cord-304820-q3de7r1p 149 3 that that IN cord-304820-q3de7r1p 149 4 only only RB cord-304820-q3de7r1p 149 5 20 20 CD cord-304820-q3de7r1p 149 6 % % NN cord-304820-q3de7r1p 149 7 of of IN cord-304820-q3de7r1p 149 8 the the DT cord-304820-q3de7r1p 149 9 transmissions transmission NNS cord-304820-q3de7r1p 149 10 will will MD cord-304820-q3de7r1p 149 11 remain remain VB cord-304820-q3de7r1p 149 12 after after IN cord-304820-q3de7r1p 149 13 a a DT cord-304820-q3de7r1p 149 14 transition transition NN cord-304820-q3de7r1p 149 15 period period NN cord-304820-q3de7r1p 149 16 . . . cord-304820-q3de7r1p 150 1 In in IN cord-304820-q3de7r1p 150 2 Figure figure NN cord-304820-q3de7r1p 150 3 6 6 CD cord-304820-q3de7r1p 150 4 -(c -(c . cord-304820-q3de7r1p 150 5 ) ) -RRB- cord-304820-q3de7r1p 150 6 we -PRON- PRP cord-304820-q3de7r1p 150 7 can can MD cord-304820-q3de7r1p 150 8 observe observe VB cord-304820-q3de7r1p 150 9 that that IN cord-304820-q3de7r1p 150 10 the the DT cord-304820-q3de7r1p 150 11 cumulative cumulative JJ cord-304820-q3de7r1p 150 12 number number NN cord-304820-q3de7r1p 150 13 of of IN cord-304820-q3de7r1p 150 14 cases case NNS cord-304820-q3de7r1p 150 15 increases increase VBZ cord-304820-q3de7r1p 150 16 up up IN cord-304820-q3de7r1p 150 17 to to IN cord-304820-q3de7r1p 150 18 800 800 CD cord-304820-q3de7r1p 150 19 000 000 CD cord-304820-q3de7r1p 150 20 ( ( -LRB- cord-304820-q3de7r1p 150 21 blue blue JJ cord-304820-q3de7r1p 150 22 curve curve NN cord-304820-q3de7r1p 150 23 ) ) -RRB- cord-304820-q3de7r1p 150 24 while while IN cord-304820-q3de7r1p 150 25 the the DT cord-304820-q3de7r1p 150 26 cumulative cumulative JJ cord-304820-q3de7r1p 150 27 number number NN cord-304820-q3de7r1p 150 28 reported report VBD cord-304820-q3de7r1p 150 29 cases case NNS cord-304820-q3de7r1p 150 30 goes go VBZ cord-304820-q3de7r1p 150 31 up up IN cord-304820-q3de7r1p 150 32 to to IN cord-304820-q3de7r1p 150 33 350 350 CD cord-304820-q3de7r1p 150 34 000 000 CD cord-304820-q3de7r1p 150 35 . . . cord-304820-q3de7r1p 151 1 In in IN cord-304820-q3de7r1p 151 2 Figure figure NN cord-304820-q3de7r1p 151 3 6 6 CD cord-304820-q3de7r1p 151 4 -(d -(d : cord-304820-q3de7r1p 151 5 ) ) -RRB- cord-304820-q3de7r1p 151 6 we -PRON- PRP cord-304820-q3de7r1p 151 7 can can MD cord-304820-q3de7r1p 151 8 see see VB cord-304820-q3de7r1p 151 9 that that IN cord-304820-q3de7r1p 151 10 the the DT cord-304820-q3de7r1p 151 11 orange orange JJ cord-304820-q3de7r1p 151 12 dots dot NNS cord-304820-q3de7r1p 151 13 and and CC cord-304820-q3de7r1p 151 14 the the DT cord-304820-q3de7r1p 151 15 blue blue JJ cord-304820-q3de7r1p 151 16 curve curve NN cord-304820-q3de7r1p 151 17 match match NN cord-304820-q3de7r1p 151 18 very very RB cord-304820-q3de7r1p 151 19 well well RB cord-304820-q3de7r1p 151 20 again again RB cord-304820-q3de7r1p 151 21 . . . cord-304820-q3de7r1p 152 1 In in IN cord-304820-q3de7r1p 152 2 order order NN cord-304820-q3de7r1p 152 3 to to TO cord-304820-q3de7r1p 152 4 get get VB cord-304820-q3de7r1p 152 5 this this DT cord-304820-q3de7r1p 152 6 fit fit NN cord-304820-q3de7r1p 152 7 we -PRON- PRP cord-304820-q3de7r1p 152 8 fix fix VBP cord-304820-q3de7r1p 152 9 the the DT cord-304820-q3de7r1p 152 10 parameter parameter NN cord-304820-q3de7r1p 152 11 g g NN cord-304820-q3de7r1p 152 12 = = SYM cord-304820-q3de7r1p 152 13 10 10 CD cord-304820-q3de7r1p 152 14 −5 −5 NNS cord-304820-q3de7r1p 152 15 . . . cord-304820-q3de7r1p 153 1 In in IN cord-304820-q3de7r1p 153 2 Figure figure NN cord-304820-q3de7r1p 153 3 7 7 CD cord-304820-q3de7r1p 153 4 ( ( -LRB- cord-304820-q3de7r1p 153 5 a a NN cord-304820-q3de7r1p 153 6 ) ) -RRB- cord-304820-q3de7r1p 153 7 and and CC cord-304820-q3de7r1p 153 8 ( ( -LRB- cord-304820-q3de7r1p 153 9 b b NN cord-304820-q3de7r1p 153 10 ) ) -RRB- cord-304820-q3de7r1p 153 11 , , , cord-304820-q3de7r1p 153 12 we -PRON- PRP cord-304820-q3de7r1p 153 13 aim aim VBP cord-304820-q3de7r1p 153 14 at at IN cord-304820-q3de7r1p 153 15 understanding understand VBG cord-304820-q3de7r1p 153 16 the the DT cord-304820-q3de7r1p 153 17 connection connection NN cord-304820-q3de7r1p 153 18 between between IN cord-304820-q3de7r1p 153 19 the the DT cord-304820-q3de7r1p 153 20 daily daily JJ cord-304820-q3de7r1p 153 21 fluctuations fluctuation NNS cord-304820-q3de7r1p 153 22 of of IN cord-304820-q3de7r1p 153 23 the the DT cord-304820-q3de7r1p 153 24 number number NN cord-304820-q3de7r1p 153 25 of of IN cord-304820-q3de7r1p 153 26 reported report VBN cord-304820-q3de7r1p 153 27 cases case NNS cord-304820-q3de7r1p 153 28 ( ( -LRB- cord-304820-q3de7r1p 153 29 epidemic epidemic NN cord-304820-q3de7r1p 153 30 dynamic dynamic JJ cord-304820-q3de7r1p 153 31 ) ) -RRB- cord-304820-q3de7r1p 153 32 and and CC cord-304820-q3de7r1p 153 33 the the DT cord-304820-q3de7r1p 153 34 daily daily JJ cord-304820-q3de7r1p 153 35 number number NN cord-304820-q3de7r1p 153 36 of of IN cord-304820-q3de7r1p 153 37 tests test NNS cord-304820-q3de7r1p 153 38 ( ( -LRB- cord-304820-q3de7r1p 153 39 testing test VBG cord-304820-q3de7r1p 153 40 dynamics dynamic NNS cord-304820-q3de7r1p 153 41 ) ) -RRB- cord-304820-q3de7r1p 153 42 . . . cord-304820-q3de7r1p 154 1 The the DT cord-304820-q3de7r1p 154 2 combination combination NN cord-304820-q3de7r1p 154 3 of of IN cord-304820-q3de7r1p 154 4 both both CC cord-304820-q3de7r1p 154 5 the the DT cord-304820-q3de7r1p 154 6 testing testing NN cord-304820-q3de7r1p 154 7 dynamics dynamic NNS cord-304820-q3de7r1p 154 8 and and CC cord-304820-q3de7r1p 154 9 the the DT cord-304820-q3de7r1p 154 10 infection infection NN cord-304820-q3de7r1p 154 11 dynamics dynamic NNS cord-304820-q3de7r1p 154 12 gives give VBZ cord-304820-q3de7r1p 154 13 indeed indeed RB cord-304820-q3de7r1p 154 14 a a DT cord-304820-q3de7r1p 154 15 very very RB cord-304820-q3de7r1p 154 16 complex complex JJ cord-304820-q3de7r1p 154 17 curve curve NN cord-304820-q3de7r1p 154 18 parametrized parametrize VBN cord-304820-q3de7r1p 154 19 by by IN cord-304820-q3de7r1p 154 20 the the DT cord-304820-q3de7r1p 154 21 time time NN cord-304820-q3de7r1p 154 22 . . . cord-304820-q3de7r1p 155 1 It -PRON- PRP cord-304820-q3de7r1p 155 2 seems seem VBZ cord-304820-q3de7r1p 155 3 that that IN cord-304820-q3de7r1p 155 4 the the DT cord-304820-q3de7r1p 155 5 only only JJ cord-304820-q3de7r1p 155 6 reasonable reasonable JJ cord-304820-q3de7r1p 155 7 comparison comparison NN cord-304820-q3de7r1p 155 8 that that WDT cord-304820-q3de7r1p 155 9 we -PRON- PRP cord-304820-q3de7r1p 155 10 can can MD cord-304820-q3de7r1p 155 11 make make VB cord-304820-q3de7r1p 155 12 is be VBZ cord-304820-q3de7r1p 155 13 between between IN cord-304820-q3de7r1p 155 14 the the DT cord-304820-q3de7r1p 155 15 cumulative cumulative JJ cord-304820-q3de7r1p 155 16 number number NN cord-304820-q3de7r1p 155 17 of of IN cord-304820-q3de7r1p 155 18 reported report VBN cord-304820-q3de7r1p 155 19 cases case NNS cord-304820-q3de7r1p 155 20 and and CC cord-304820-q3de7r1p 155 21 the the DT cord-304820-q3de7r1p 155 22 cumulative cumulative JJ cord-304820-q3de7r1p 155 23 number number NN cord-304820-q3de7r1p 155 24 of of IN cord-304820-q3de7r1p 155 25 tests test NNS cord-304820-q3de7r1p 155 26 . . . cord-304820-q3de7r1p 156 1 In in IN cord-304820-q3de7r1p 156 2 Figure Figure NNP cord-304820-q3de7r1p 156 3 7 7 CD cord-304820-q3de7r1p 156 4 In in IN cord-304820-q3de7r1p 156 5 Figure Figure NNP cord-304820-q3de7r1p 156 6 7 7 CD cord-304820-q3de7r1p 156 7 , , , cord-304820-q3de7r1p 156 8 all all PDT cord-304820-q3de7r1p 156 9 the the DT cord-304820-q3de7r1p 156 10 curves curve NNS cord-304820-q3de7r1p 156 11 are be VBP cord-304820-q3de7r1p 156 12 time time NN cord-304820-q3de7r1p 156 13 dependent dependent JJ cord-304820-q3de7r1p 156 14 parametrized parametrize VBN cord-304820-q3de7r1p 156 15 curves curve NNS cord-304820-q3de7r1p 156 16 . . . cord-304820-q3de7r1p 157 1 The the DT cord-304820-q3de7r1p 157 2 abscissa abscissa NN cord-304820-q3de7r1p 157 3 is be VBZ cord-304820-q3de7r1p 157 4 the the DT cord-304820-q3de7r1p 157 5 number number NN cord-304820-q3de7r1p 157 6 of of IN cord-304820-q3de7r1p 157 7 tests test NNS cord-304820-q3de7r1p 157 8 ( ( -LRB- cord-304820-q3de7r1p 157 9 horizontal horizontal JJ cord-304820-q3de7r1p 157 10 axis axis NN cord-304820-q3de7r1p 157 11 ) ) -RRB- cord-304820-q3de7r1p 157 12 and and CC cord-304820-q3de7r1p 157 13 the the DT cord-304820-q3de7r1p 157 14 ordinate ordinate NN cord-304820-q3de7r1p 157 15 is be VBZ cord-304820-q3de7r1p 157 16 the the DT cord-304820-q3de7r1p 157 17 number number NN cord-304820-q3de7r1p 157 18 of of IN cord-304820-q3de7r1p 157 19 reported report VBN cord-304820-q3de7r1p 157 20 cases case NNS cord-304820-q3de7r1p 157 21 ( ( -LRB- cord-304820-q3de7r1p 157 22 vertical vertical JJ cord-304820-q3de7r1p 157 23 axis axis NN cord-304820-q3de7r1p 157 24 ) ) -RRB- cord-304820-q3de7r1p 157 25 . . . cord-304820-q3de7r1p 158 1 It -PRON- PRP cord-304820-q3de7r1p 158 2 corresponds correspond VBZ cord-304820-q3de7r1p 158 3 ( ( -LRB- cord-304820-q3de7r1p 158 4 with with IN cord-304820-q3de7r1p 158 5 our -PRON- PRP$ cord-304820-q3de7r1p 158 6 notations notation NNS cord-304820-q3de7r1p 158 7 ) ) -RRB- cord-304820-q3de7r1p 158 8 to to IN cord-304820-q3de7r1p 158 9 the the DT cord-304820-q3de7r1p 158 10 parametric parametric JJ cord-304820-q3de7r1p 158 11 functions function NNS cord-304820-q3de7r1p 158 12 t t NNP cord-304820-q3de7r1p 158 13 → → SYM cord-304820-q3de7r1p 158 14 ( ( -LRB- cord-304820-q3de7r1p 158 15 n n NNP cord-304820-q3de7r1p 158 16 data data NNP cord-304820-q3de7r1p 158 17 ( ( -LRB- cord-304820-q3de7r1p 158 18 t t NNP cord-304820-q3de7r1p 158 19 ) ) -RRB- cord-304820-q3de7r1p 158 20 , , , cord-304820-q3de7r1p 158 21 DR(t DR(t NNP cord-304820-q3de7r1p 158 22 ) ) -RRB- cord-304820-q3de7r1p 158 23 ) ) -RRB- cord-304820-q3de7r1p 158 24 in in IN cord-304820-q3de7r1p 158 25 figures figure NNS cord-304820-q3de7r1p 158 26 ( ( -LRB- cord-304820-q3de7r1p 158 27 a a LS cord-304820-q3de7r1p 158 28 ) ) -RRB- cord-304820-q3de7r1p 158 29 and and CC cord-304820-q3de7r1p 158 30 ( ( -LRB- cord-304820-q3de7r1p 158 31 b b NN cord-304820-q3de7r1p 158 32 ) ) -RRB- cord-304820-q3de7r1p 158 33 and and CC cord-304820-q3de7r1p 158 34 their -PRON- PRP$ cord-304820-q3de7r1p 158 35 cumulative cumulative JJ cord-304820-q3de7r1p 158 36 equivalent equivalent NN cord-304820-q3de7r1p 158 37 t t NN cord-304820-q3de7r1p 158 38 → → SYM cord-304820-q3de7r1p 158 39 ( ( -LRB- cord-304820-q3de7r1p 158 40 N n CD cord-304820-q3de7r1p 158 41 data datum NNS cord-304820-q3de7r1p 158 42 ( ( -LRB- cord-304820-q3de7r1p 158 43 t t NN cord-304820-q3de7r1p 158 44 ) ) -RRB- cord-304820-q3de7r1p 158 45 , , , cord-304820-q3de7r1p 158 46 CR(t CR(t NNP cord-304820-q3de7r1p 158 47 ) ) -RRB- cord-304820-q3de7r1p 158 48 ) ) -RRB- cord-304820-q3de7r1p 158 49 in in IN cord-304820-q3de7r1p 158 50 figure figure NN cord-304820-q3de7r1p 158 51 ( ( -LRB- cord-304820-q3de7r1p 158 52 c c NN cord-304820-q3de7r1p 158 53 ) ) -RRB- cord-304820-q3de7r1p 158 54 and and CC cord-304820-q3de7r1p 158 55 ( ( -LRB- cord-304820-q3de7r1p 158 56 d d NN cord-304820-q3de7r1p 158 57 ) ) -RRB- cord-304820-q3de7r1p 158 58 . . . cord-304820-q3de7r1p 159 1 In in IN cord-304820-q3de7r1p 159 2 figures figure NNS cord-304820-q3de7r1p 159 3 ( ( -LRB- cord-304820-q3de7r1p 159 4 a a LS cord-304820-q3de7r1p 159 5 ) ) -RRB- cord-304820-q3de7r1p 159 6 and and CC cord-304820-q3de7r1p 159 7 ( ( -LRB- cord-304820-q3de7r1p 159 8 c c NN cord-304820-q3de7r1p 159 9 ) ) -RRB- cord-304820-q3de7r1p 159 10 we -PRON- PRP cord-304820-q3de7r1p 159 11 use use VBP cord-304820-q3de7r1p 159 12 only only RB cord-304820-q3de7r1p 159 13 the the DT cord-304820-q3de7r1p 159 14 data datum NNS cord-304820-q3de7r1p 159 15 , , , cord-304820-q3de7r1p 159 16 that that DT cord-304820-q3de7r1p 159 17 is be VBZ cord-304820-q3de7r1p 159 18 to to TO cord-304820-q3de7r1p 159 19 say say VB cord-304820-q3de7r1p 159 20 that that IN cord-304820-q3de7r1p 159 21 we -PRON- PRP cord-304820-q3de7r1p 159 22 plot plot VBP cord-304820-q3de7r1p 159 23 t t NN cord-304820-q3de7r1p 159 24 → → SYM cord-304820-q3de7r1p 159 25 ( ( -LRB- cord-304820-q3de7r1p 159 26 n n NNP cord-304820-q3de7r1p 159 27 data data NNP cord-304820-q3de7r1p 159 28 ( ( -LRB- cord-304820-q3de7r1p 159 29 t t NNP cord-304820-q3de7r1p 159 30 ) ) -RRB- cord-304820-q3de7r1p 159 31 , , , cord-304820-q3de7r1p 159 32 DR DR NNP cord-304820-q3de7r1p 159 33 data data NNP cord-304820-q3de7r1p 159 34 ( ( -LRB- cord-304820-q3de7r1p 159 35 t t NN cord-304820-q3de7r1p 159 36 ) ) -RRB- cord-304820-q3de7r1p 159 37 ) ) -RRB- cord-304820-q3de7r1p 159 38 and and CC cord-304820-q3de7r1p 159 39 t t NN cord-304820-q3de7r1p 159 40 → → NN cord-304820-q3de7r1p 159 41 ( ( -LRB- cord-304820-q3de7r1p 159 42 N n CD cord-304820-q3de7r1p 159 43 data datum NNS cord-304820-q3de7r1p 159 44 ( ( -LRB- cord-304820-q3de7r1p 159 45 t t NNP cord-304820-q3de7r1p 159 46 ) ) -RRB- cord-304820-q3de7r1p 159 47 , , , cord-304820-q3de7r1p 159 48 CR CR NNP cord-304820-q3de7r1p 159 49 data datum NNS cord-304820-q3de7r1p 159 50 ( ( -LRB- cord-304820-q3de7r1p 159 51 t t NN cord-304820-q3de7r1p 159 52 ) ) -RRB- cord-304820-q3de7r1p 159 53 ) ) -RRB- cord-304820-q3de7r1p 159 54 . . . cord-304820-q3de7r1p 160 1 In in IN cord-304820-q3de7r1p 160 2 figures figure NNS cord-304820-q3de7r1p 160 3 ( ( -LRB- cord-304820-q3de7r1p 160 4 b b NN cord-304820-q3de7r1p 160 5 ) ) -RRB- cord-304820-q3de7r1p 160 6 and and CC cord-304820-q3de7r1p 160 7 ( ( -LRB- cord-304820-q3de7r1p 160 8 d d LS cord-304820-q3de7r1p 160 9 ) ) -RRB- cord-304820-q3de7r1p 160 10 we -PRON- PRP cord-304820-q3de7r1p 160 11 use use VBP cord-304820-q3de7r1p 160 12 only only RB cord-304820-q3de7r1p 160 13 the the DT cord-304820-q3de7r1p 160 14 model model NN cord-304820-q3de7r1p 160 15 for for IN cord-304820-q3de7r1p 160 16 the the DT cord-304820-q3de7r1p 160 17 number number NN cord-304820-q3de7r1p 160 18 of of IN cord-304820-q3de7r1p 160 19 reported report VBN cord-304820-q3de7r1p 160 20 cases case NNS cord-304820-q3de7r1p 160 21 , , , cord-304820-q3de7r1p 160 22 that that DT cord-304820-q3de7r1p 160 23 is be VBZ cord-304820-q3de7r1p 160 24 to to TO cord-304820-q3de7r1p 160 25 say say VB cord-304820-q3de7r1p 160 26 that that IN cord-304820-q3de7r1p 160 27 we -PRON- PRP cord-304820-q3de7r1p 160 28 plot plot VBP cord-304820-q3de7r1p 160 29 t t NN cord-304820-q3de7r1p 160 30 → → SYM cord-304820-q3de7r1p 160 31 ( ( -LRB- cord-304820-q3de7r1p 160 32 n n NNP cord-304820-q3de7r1p 160 33 data data NNP cord-304820-q3de7r1p 160 34 ( ( -LRB- cord-304820-q3de7r1p 160 35 t t NNP cord-304820-q3de7r1p 160 36 ) ) -RRB- cord-304820-q3de7r1p 160 37 , , , cord-304820-q3de7r1p 160 38 DR DR NNP cord-304820-q3de7r1p 160 39 model model NN cord-304820-q3de7r1p 160 40 ( ( -LRB- cord-304820-q3de7r1p 160 41 t t NN cord-304820-q3de7r1p 160 42 ) ) -RRB- cord-304820-q3de7r1p 160 43 ) ) -RRB- cord-304820-q3de7r1p 160 44 and and CC cord-304820-q3de7r1p 160 45 t t NN cord-304820-q3de7r1p 160 46 → → NN cord-304820-q3de7r1p 160 47 ( ( -LRB- cord-304820-q3de7r1p 160 48 N n CD cord-304820-q3de7r1p 160 49 data datum NNS cord-304820-q3de7r1p 160 50 ( ( -LRB- cord-304820-q3de7r1p 160 51 t t NNP cord-304820-q3de7r1p 160 52 ) ) -RRB- cord-304820-q3de7r1p 160 53 , , , cord-304820-q3de7r1p 160 54 CR CR NNP cord-304820-q3de7r1p 160 55 model model NN cord-304820-q3de7r1p 160 56 ( ( -LRB- cord-304820-q3de7r1p 160 57 t t NN cord-304820-q3de7r1p 160 58 ) ) -RRB- cord-304820-q3de7r1p 160 59 ) ) -RRB- cord-304820-q3de7r1p 160 60 . . . cord-304820-q3de7r1p 161 1 8 8 CD cord-304820-q3de7r1p 162 1 All all DT cord-304820-q3de7r1p 162 2 rights right NNS cord-304820-q3de7r1p 162 3 reserved reserve VBN cord-304820-q3de7r1p 162 4 . . . cord-304820-q3de7r1p 163 1 No no DT cord-304820-q3de7r1p 163 2 reuse reuse NN cord-304820-q3de7r1p 163 3 allowed allow VBN cord-304820-q3de7r1p 163 4 without without IN cord-304820-q3de7r1p 163 5 permission permission NN cord-304820-q3de7r1p 163 6 . . . cord-304820-q3de7r1p 164 1 perpetuity perpetuity NN cord-304820-q3de7r1p 164 2 . . . cord-304820-q3de7r1p 165 1 preprint preprint NN cord-304820-q3de7r1p 165 2 ( ( -LRB- cord-304820-q3de7r1p 165 3 which which WDT cord-304820-q3de7r1p 165 4 was be VBD cord-304820-q3de7r1p 165 5 not not RB cord-304820-q3de7r1p 165 6 certified certify VBN cord-304820-q3de7r1p 165 7 by by IN cord-304820-q3de7r1p 165 8 peer peer NN cord-304820-q3de7r1p 165 9 review review NN cord-304820-q3de7r1p 165 10 ) ) -RRB- cord-304820-q3de7r1p 165 11 is be VBZ cord-304820-q3de7r1p 165 12 the the DT cord-304820-q3de7r1p 165 13 author author NN cord-304820-q3de7r1p 165 14 / / SYM cord-304820-q3de7r1p 165 15 funder funder NN cord-304820-q3de7r1p 165 16 , , , cord-304820-q3de7r1p 165 17 who who WP cord-304820-q3de7r1p 165 18 has have VBZ cord-304820-q3de7r1p 165 19 granted grant VBN cord-304820-q3de7r1p 165 20 medRxiv medRxiv NNS cord-304820-q3de7r1p 165 21 a a DT cord-304820-q3de7r1p 165 22 license license NN cord-304820-q3de7r1p 165 23 to to TO cord-304820-q3de7r1p 165 24 display display VB cord-304820-q3de7r1p 165 25 the the DT cord-304820-q3de7r1p 165 26 preprint preprint NN cord-304820-q3de7r1p 165 27 in in IN cord-304820-q3de7r1p 165 28 The the DT cord-304820-q3de7r1p 165 29 copyright copyright NN cord-304820-q3de7r1p 165 30 holder holder NN cord-304820-q3de7r1p 165 31 for for IN cord-304820-q3de7r1p 165 32 this this DT cord-304820-q3de7r1p 165 33 this this DT cord-304820-q3de7r1p 165 34 version version NN cord-304820-q3de7r1p 165 35 posted post VBD cord-304820-q3de7r1p 165 36 October October NNP cord-304820-q3de7r1p 165 37 12 12 CD cord-304820-q3de7r1p 165 38 , , , cord-304820-q3de7r1p 165 39 2020 2020 CD cord-304820-q3de7r1p 165 40 . . . cord-304820-q3de7r1p 166 1 Figure figure NN cord-304820-q3de7r1p 166 2 _SP cord-304820-q3de7r1p 166 3 6 6 CD cord-304820-q3de7r1p 166 4 . . . cord-304820-q3de7r1p 167 1 In in IN cord-304820-q3de7r1p 167 2 figure figure NN cord-304820-q3de7r1p 167 3 ( ( -LRB- cord-304820-q3de7r1p 167 4 a a LS cord-304820-q3de7r1p 167 5 ) ) -RRB- cord-304820-q3de7r1p 167 6 we -PRON- PRP cord-304820-q3de7r1p 167 7 plot plot VBP cord-304820-q3de7r1p 167 8 the the DT cord-304820-q3de7r1p 167 9 daily daily JJ cord-304820-q3de7r1p 167 10 number number NN cord-304820-q3de7r1p 167 11 of of IN cord-304820-q3de7r1p 167 12 cases case NNS cord-304820-q3de7r1p 167 13 coming come VBG cord-304820-q3de7r1p 167 14 from from IN cord-304820-q3de7r1p 167 15 the the DT cord-304820-q3de7r1p 167 16 data datum NNS cord-304820-q3de7r1p 167 17 as as IN cord-304820-q3de7r1p 167 18 a a DT cord-304820-q3de7r1p 167 19 function function NN cord-304820-q3de7r1p 167 20 of of IN cord-304820-q3de7r1p 167 21 the the DT cord-304820-q3de7r1p 167 22 daily daily JJ cord-304820-q3de7r1p 167 23 number number NN cord-304820-q3de7r1p 167 24 of of IN cord-304820-q3de7r1p 167 25 tests test NNS cord-304820-q3de7r1p 167 26 . . . cord-304820-q3de7r1p 168 1 In in IN cord-304820-q3de7r1p 168 2 figure figure NN cord-304820-q3de7r1p 168 3 ( ( -LRB- cord-304820-q3de7r1p 168 4 b b NN cord-304820-q3de7r1p 168 5 ) ) -RRB- cord-304820-q3de7r1p 168 6 we -PRON- PRP cord-304820-q3de7r1p 168 7 plot plot VBP cord-304820-q3de7r1p 168 8 the the DT cord-304820-q3de7r1p 168 9 daily daily JJ cord-304820-q3de7r1p 168 10 number number NN cord-304820-q3de7r1p 168 11 of of IN cord-304820-q3de7r1p 168 12 cases case NNS cord-304820-q3de7r1p 168 13 given give VBN cord-304820-q3de7r1p 168 14 by by IN cord-304820-q3de7r1p 168 15 the the DT cord-304820-q3de7r1p 168 16 model model NN cord-304820-q3de7r1p 168 17 as as IN cord-304820-q3de7r1p 168 18 a a DT cord-304820-q3de7r1p 168 19 function function NN cord-304820-q3de7r1p 168 20 of of IN cord-304820-q3de7r1p 168 21 the the DT cord-304820-q3de7r1p 168 22 cumulative cumulative JJ cord-304820-q3de7r1p 168 23 number number NN cord-304820-q3de7r1p 168 24 of of IN cord-304820-q3de7r1p 168 25 cases case NNS cord-304820-q3de7r1p 168 26 coming come VBG cord-304820-q3de7r1p 168 27 from from IN cord-304820-q3de7r1p 168 28 the the DT cord-304820-q3de7r1p 168 29 data datum NNS cord-304820-q3de7r1p 168 30 . . . cord-304820-q3de7r1p 169 1 In in IN cord-304820-q3de7r1p 169 2 figure figure NN cord-304820-q3de7r1p 169 3 ( ( -LRB- cord-304820-q3de7r1p 169 4 c c NN cord-304820-q3de7r1p 169 5 ) ) -RRB- cord-304820-q3de7r1p 169 6 we -PRON- PRP cord-304820-q3de7r1p 169 7 plot plot VBP cord-304820-q3de7r1p 169 8 the the DT cord-304820-q3de7r1p 169 9 cumulative cumulative JJ cord-304820-q3de7r1p 169 10 number number NN cord-304820-q3de7r1p 169 11 of of IN cord-304820-q3de7r1p 169 12 cases case NNS cord-304820-q3de7r1p 169 13 coming come VBG cord-304820-q3de7r1p 169 14 from from IN cord-304820-q3de7r1p 169 15 the the DT cord-304820-q3de7r1p 169 16 data datum NNS cord-304820-q3de7r1p 169 17 as as IN cord-304820-q3de7r1p 169 18 a a DT cord-304820-q3de7r1p 169 19 function function NN cord-304820-q3de7r1p 169 20 of of IN cord-304820-q3de7r1p 169 21 the the DT cord-304820-q3de7r1p 169 22 cumulative cumulative JJ cord-304820-q3de7r1p 169 23 number number NN cord-304820-q3de7r1p 169 24 of of IN cord-304820-q3de7r1p 169 25 tests test NNS cord-304820-q3de7r1p 169 26 . . . cord-304820-q3de7r1p 170 1 In in IN cord-304820-q3de7r1p 170 2 figure figure NN cord-304820-q3de7r1p 170 3 ( ( -LRB- cord-304820-q3de7r1p 170 4 d d NN cord-304820-q3de7r1p 170 5 ) ) -RRB- cord-304820-q3de7r1p 170 6 we -PRON- PRP cord-304820-q3de7r1p 170 7 plot plot VBP cord-304820-q3de7r1p 170 8 the the DT cord-304820-q3de7r1p 170 9 cumulative cumulative JJ cord-304820-q3de7r1p 170 10 number number NN cord-304820-q3de7r1p 170 11 of of IN cord-304820-q3de7r1p 170 12 cases case NNS cord-304820-q3de7r1p 170 13 coming come VBG cord-304820-q3de7r1p 170 14 from from IN cord-304820-q3de7r1p 170 15 the the DT cord-304820-q3de7r1p 170 16 model model NN cord-304820-q3de7r1p 170 17 as as IN cord-304820-q3de7r1p 170 18 a a DT cord-304820-q3de7r1p 170 19 function function NN cord-304820-q3de7r1p 170 20 of of IN cord-304820-q3de7r1p 170 21 the the DT cord-304820-q3de7r1p 170 22 cumulative cumulative JJ cord-304820-q3de7r1p 170 23 number number NN cord-304820-q3de7r1p 170 24 of of IN cord-304820-q3de7r1p 170 25 tests test NNS cord-304820-q3de7r1p 170 26 from from IN cord-304820-q3de7r1p 170 27 the the DT cord-304820-q3de7r1p 170 28 data datum NNS cord-304820-q3de7r1p 170 29 . . . cord-304820-q3de7r1p 171 1 In in IN cord-304820-q3de7r1p 171 2 Figure Figure NNP cord-304820-q3de7r1p 171 3 8 8 CD cord-304820-q3de7r1p 171 4 , , , cord-304820-q3de7r1p 171 5 our -PRON- PRP$ cord-304820-q3de7r1p 171 6 goal goal NN cord-304820-q3de7r1p 171 7 is be VBZ cord-304820-q3de7r1p 171 8 to to TO cord-304820-q3de7r1p 171 9 investigate investigate VB cord-304820-q3de7r1p 171 10 the the DT cord-304820-q3de7r1p 171 11 effect effect NN cord-304820-q3de7r1p 171 12 of of IN cord-304820-q3de7r1p 171 13 a a DT cord-304820-q3de7r1p 171 14 change change NN cord-304820-q3de7r1p 171 15 in in IN cord-304820-q3de7r1p 171 16 the the DT cord-304820-q3de7r1p 171 17 testing testing NN cord-304820-q3de7r1p 171 18 policy policy NN cord-304820-q3de7r1p 171 19 in in IN cord-304820-q3de7r1p 171 20 the the DT cord-304820-q3de7r1p 171 21 New New NNP cord-304820-q3de7r1p 171 22 - - HYPH cord-304820-q3de7r1p 171 23 York York NNP cord-304820-q3de7r1p 171 24 State State NNP cord-304820-q3de7r1p 171 25 . . . cord-304820-q3de7r1p 172 1 We -PRON- PRP cord-304820-q3de7r1p 172 2 are be VBP cord-304820-q3de7r1p 172 3 particularly particularly RB cord-304820-q3de7r1p 172 4 interested interested JJ cord-304820-q3de7r1p 172 5 in in IN cord-304820-q3de7r1p 172 6 estimating estimate VBG cord-304820-q3de7r1p 172 7 the the DT cord-304820-q3de7r1p 172 8 effect effect NN cord-304820-q3de7r1p 172 9 of of IN cord-304820-q3de7r1p 172 10 an an DT cord-304820-q3de7r1p 172 11 increase increase NN cord-304820-q3de7r1p 172 12 of of IN cord-304820-q3de7r1p 172 13 the the DT cord-304820-q3de7r1p 172 14 number number NN cord-304820-q3de7r1p 172 15 of of IN cord-304820-q3de7r1p 172 16 tests test NNS cord-304820-q3de7r1p 172 17 on on IN cord-304820-q3de7r1p 172 18 the the DT cord-304820-q3de7r1p 172 19 epidemic epidemic NN cord-304820-q3de7r1p 172 20 . . . cord-304820-q3de7r1p 173 1 Indeed indeed RB cord-304820-q3de7r1p 173 2 people people NNS cord-304820-q3de7r1p 173 3 commonly commonly RB cord-304820-q3de7r1p 173 4 say say VBP cord-304820-q3de7r1p 173 5 that that IN cord-304820-q3de7r1p 173 6 increasing increase VBG cord-304820-q3de7r1p 173 7 the the DT cord-304820-q3de7r1p 173 8 number number NN cord-304820-q3de7r1p 173 9 of of IN cord-304820-q3de7r1p 173 10 tests test NNS cord-304820-q3de7r1p 173 11 will will MD cord-304820-q3de7r1p 173 12 be be VB cord-304820-q3de7r1p 173 13 beneficial beneficial JJ cord-304820-q3de7r1p 173 14 to to TO cord-304820-q3de7r1p 173 15 reduce reduce VB cord-304820-q3de7r1p 173 16 the the DT cord-304820-q3de7r1p 173 17 number number NN cord-304820-q3de7r1p 173 18 of of IN cord-304820-q3de7r1p 173 19 cases case NNS cord-304820-q3de7r1p 173 20 . . . cord-304820-q3de7r1p 174 1 So so RB cord-304820-q3de7r1p 174 2 here here RB cord-304820-q3de7r1p 174 3 , , , cord-304820-q3de7r1p 174 4 we -PRON- PRP cord-304820-q3de7r1p 174 5 try try VBP cord-304820-q3de7r1p 174 6 to to TO cord-304820-q3de7r1p 174 7 quantify quantify VB cord-304820-q3de7r1p 174 8 this this DT cord-304820-q3de7r1p 174 9 idea idea NN cord-304820-q3de7r1p 174 10 by by IN cord-304820-q3de7r1p 174 11 using use VBG cord-304820-q3de7r1p 174 12 our -PRON- PRP$ cord-304820-q3de7r1p 174 13 model model NN cord-304820-q3de7r1p 174 14 . . . cord-304820-q3de7r1p 175 1 In in IN cord-304820-q3de7r1p 175 2 Figure Figure NNP cord-304820-q3de7r1p 175 3 8 8 CD cord-304820-q3de7r1p 175 4 , , , cord-304820-q3de7r1p 175 5 we -PRON- PRP cord-304820-q3de7r1p 175 6 replace replace VBP cord-304820-q3de7r1p 175 7 the the DT cord-304820-q3de7r1p 175 8 daily daily JJ cord-304820-q3de7r1p 175 9 number number NN cord-304820-q3de7r1p 175 10 of of IN cord-304820-q3de7r1p 175 11 tests test NNS cord-304820-q3de7r1p 175 12 n n NNP cord-304820-q3de7r1p 175 13 data data NN cord-304820-q3de7r1p 175 14 ( ( -LRB- cord-304820-q3de7r1p 175 15 t t NN cord-304820-q3de7r1p 175 16 ) ) -RRB- cord-304820-q3de7r1p 175 17 ( ( -LRB- cord-304820-q3de7r1p 175 18 coming come VBG cord-304820-q3de7r1p 175 19 from from IN cord-304820-q3de7r1p 175 20 the the DT cord-304820-q3de7r1p 175 21 data datum NNS cord-304820-q3de7r1p 175 22 for for IN cord-304820-q3de7r1p 175 23 New New NNP cord-304820-q3de7r1p 175 24 - - NNP cord-304820-q3de7r1p 175 25 York York NNP cord-304820-q3de7r1p 175 26 's 's POS cord-304820-q3de7r1p 175 27 state state NN cord-304820-q3de7r1p 175 28 ) ) -RRB- cord-304820-q3de7r1p 175 29 in in IN cord-304820-q3de7r1p 175 30 the the DT cord-304820-q3de7r1p 175 31 model model NN cord-304820-q3de7r1p 175 32 by by IN cord-304820-q3de7r1p 175 33 either either DT cord-304820-q3de7r1p 175 34 2 2 CD cord-304820-q3de7r1p 175 35 × × NN cord-304820-q3de7r1p 175 36 n n CD cord-304820-q3de7r1p 175 37 data datum NNS cord-304820-q3de7r1p 175 38 ( ( -LRB- cord-304820-q3de7r1p 175 39 t t NNP cord-304820-q3de7r1p 175 40 ) ) -RRB- cord-304820-q3de7r1p 175 41 , , , cord-304820-q3de7r1p 175 42 5 5 CD cord-304820-q3de7r1p 175 43 × × NN cord-304820-q3de7r1p 175 44 n n CD cord-304820-q3de7r1p 175 45 data datum NNS cord-304820-q3de7r1p 175 46 ( ( -LRB- cord-304820-q3de7r1p 175 47 t t NNP cord-304820-q3de7r1p 175 48 ) ) -RRB- cord-304820-q3de7r1p 175 49 , , , cord-304820-q3de7r1p 175 50 10 10 CD cord-304820-q3de7r1p 175 51 × × NN cord-304820-q3de7r1p 175 52 n n NNP cord-304820-q3de7r1p 175 53 data datum NNS cord-304820-q3de7r1p 175 54 ( ( -LRB- cord-304820-q3de7r1p 175 55 t t NNP cord-304820-q3de7r1p 175 56 ) ) -RRB- cord-304820-q3de7r1p 175 57 or or CC cord-304820-q3de7r1p 175 58 100 100 CD cord-304820-q3de7r1p 175 59 × × NN cord-304820-q3de7r1p 175 60 n n CD cord-304820-q3de7r1p 175 61 data datum NNS cord-304820-q3de7r1p 175 62 ( ( -LRB- cord-304820-q3de7r1p 175 63 t t NN cord-304820-q3de7r1p 175 64 ) ) -RRB- cord-304820-q3de7r1p 175 65 . . . cord-304820-q3de7r1p 176 1 As as IN cord-304820-q3de7r1p 176 2 expected expect VBN cord-304820-q3de7r1p 176 3 , , , cord-304820-q3de7r1p 176 4 an an DT cord-304820-q3de7r1p 176 5 increase increase NN cord-304820-q3de7r1p 176 6 of of IN cord-304820-q3de7r1p 176 7 the the DT cord-304820-q3de7r1p 176 8 number number NN cord-304820-q3de7r1p 176 9 of of IN cord-304820-q3de7r1p 176 10 tests test NNS cord-304820-q3de7r1p 176 11 is be VBZ cord-304820-q3de7r1p 176 12 helping help VBG cord-304820-q3de7r1p 176 13 to to TO cord-304820-q3de7r1p 176 14 reduce reduce VB cord-304820-q3de7r1p 176 15 the the DT cord-304820-q3de7r1p 176 16 number number NN cord-304820-q3de7r1p 176 17 of of IN cord-304820-q3de7r1p 176 18 cases case NNS cord-304820-q3de7r1p 176 19 . . . cord-304820-q3de7r1p 177 1 However however RB cord-304820-q3de7r1p 177 2 , , , cord-304820-q3de7r1p 177 3 after after IN cord-304820-q3de7r1p 177 4 increasing increase VBG cord-304820-q3de7r1p 177 5 10 10 CD cord-304820-q3de7r1p 177 6 times time NNS cord-304820-q3de7r1p 177 7 the the DT cord-304820-q3de7r1p 177 8 number number NN cord-304820-q3de7r1p 177 9 of of IN cord-304820-q3de7r1p 177 10 tests test NNS cord-304820-q3de7r1p 177 11 , , , cord-304820-q3de7r1p 177 12 there there EX cord-304820-q3de7r1p 177 13 is be VBZ cord-304820-q3de7r1p 177 14 no no DT cord-304820-q3de7r1p 177 15 significant significant JJ cord-304820-q3de7r1p 177 16 difference difference NN cord-304820-q3de7r1p 177 17 ( ( -LRB- cord-304820-q3de7r1p 177 18 in in IN cord-304820-q3de7r1p 177 19 the the DT cord-304820-q3de7r1p 177 20 number number NN cord-304820-q3de7r1p 177 21 of of IN cord-304820-q3de7r1p 177 22 reported report VBN cord-304820-q3de7r1p 177 23 ) ) -RRB- cord-304820-q3de7r1p 177 24 between between IN cord-304820-q3de7r1p 177 25 10 10 CD cord-304820-q3de7r1p 177 26 times time NNS cord-304820-q3de7r1p 177 27 and and CC cord-304820-q3de7r1p 177 28 100 100 CD cord-304820-q3de7r1p 177 29 times time NNS cord-304820-q3de7r1p 177 30 more more JJR cord-304820-q3de7r1p 177 31 tests test NNS cord-304820-q3de7r1p 177 32 . . . cord-304820-q3de7r1p 178 1 Therefore therefore RB cord-304820-q3de7r1p 178 2 there there EX cord-304820-q3de7r1p 178 3 must must MD cord-304820-q3de7r1p 178 4 be be VB cord-304820-q3de7r1p 178 5 an an DT cord-304820-q3de7r1p 178 6 optimum optimum NN cord-304820-q3de7r1p 178 7 between between IN cord-304820-q3de7r1p 178 8 increasing increase VBG cord-304820-q3de7r1p 178 9 the the DT cord-304820-q3de7r1p 178 10 number number NN cord-304820-q3de7r1p 178 11 of of IN cord-304820-q3de7r1p 178 12 tests test NNS cord-304820-q3de7r1p 178 13 ( ( -LRB- cord-304820-q3de7r1p 178 14 which which WDT cord-304820-q3de7r1p 178 15 costs cost VBZ cord-304820-q3de7r1p 178 16 money money NN cord-304820-q3de7r1p 178 17 and and CC cord-304820-q3de7r1p 178 18 other other JJ cord-304820-q3de7r1p 178 19 limited limited JJ cord-304820-q3de7r1p 178 20 resources resource NNS cord-304820-q3de7r1p 178 21 ) ) -RRB- cord-304820-q3de7r1p 178 22 and and CC cord-304820-q3de7r1p 178 23 being be VBG cord-304820-q3de7r1p 178 24 efficient efficient JJ cord-304820-q3de7r1p 178 25 to to TO cord-304820-q3de7r1p 178 26 slow slow VB cord-304820-q3de7r1p 178 27 down down RP cord-304820-q3de7r1p 178 28 the the DT cord-304820-q3de7r1p 178 29 epidemic epidemic NN cord-304820-q3de7r1p 178 30 . . . cord-304820-q3de7r1p 179 1 9 9 CD cord-304820-q3de7r1p 180 1 All all DT cord-304820-q3de7r1p 180 2 rights right NNS cord-304820-q3de7r1p 180 3 reserved reserve VBN cord-304820-q3de7r1p 180 4 . . . cord-304820-q3de7r1p 181 1 No no DT cord-304820-q3de7r1p 181 2 reuse reuse NN cord-304820-q3de7r1p 181 3 allowed allow VBN cord-304820-q3de7r1p 181 4 without without IN cord-304820-q3de7r1p 181 5 permission permission NN cord-304820-q3de7r1p 181 6 . . . cord-304820-q3de7r1p 182 1 perpetuity perpetuity NN cord-304820-q3de7r1p 182 2 . . . cord-304820-q3de7r1p 183 1 preprint preprint NN cord-304820-q3de7r1p 183 2 ( ( -LRB- cord-304820-q3de7r1p 183 3 which which WDT cord-304820-q3de7r1p 183 4 was be VBD cord-304820-q3de7r1p 183 5 not not RB cord-304820-q3de7r1p 183 6 certified certify VBN cord-304820-q3de7r1p 183 7 by by IN cord-304820-q3de7r1p 183 8 peer peer NN cord-304820-q3de7r1p 183 9 review review NN cord-304820-q3de7r1p 183 10 ) ) -RRB- cord-304820-q3de7r1p 183 11 is be VBZ cord-304820-q3de7r1p 183 12 the the DT cord-304820-q3de7r1p 183 13 author author NN cord-304820-q3de7r1p 183 14 / / SYM cord-304820-q3de7r1p 183 15 funder funder NN cord-304820-q3de7r1p 183 16 , , , cord-304820-q3de7r1p 183 17 who who WP cord-304820-q3de7r1p 183 18 has have VBZ cord-304820-q3de7r1p 183 19 granted grant VBN cord-304820-q3de7r1p 183 20 medRxiv medRxiv NNS cord-304820-q3de7r1p 183 21 a a DT cord-304820-q3de7r1p 183 22 license license NN cord-304820-q3de7r1p 183 23 to to TO cord-304820-q3de7r1p 183 24 display display VB cord-304820-q3de7r1p 183 25 the the DT cord-304820-q3de7r1p 183 26 preprint preprint NN cord-304820-q3de7r1p 183 27 in in IN cord-304820-q3de7r1p 183 28 Parameter parameter NN cord-304820-q3de7r1p 183 29 values value NNS cord-304820-q3de7r1p 183 30 : : : cord-304820-q3de7r1p 183 31 are be VBP cord-304820-q3de7r1p 183 32 the the DT cord-304820-q3de7r1p 183 33 same same JJ cord-304820-q3de7r1p 183 34 as as IN cord-304820-q3de7r1p 183 35 in in IN cord-304820-q3de7r1p 183 36 Figure Figure NNP cord-304820-q3de7r1p 183 37 6 6 CD cord-304820-q3de7r1p 183 38 . . . cord-304820-q3de7r1p 184 1 In in IN cord-304820-q3de7r1p 184 2 figure figure NN cord-304820-q3de7r1p 184 3 ( ( -LRB- cord-304820-q3de7r1p 184 4 a a LS cord-304820-q3de7r1p 184 5 ) ) -RRB- cord-304820-q3de7r1p 184 6 we -PRON- PRP cord-304820-q3de7r1p 184 7 plot plot VBP cord-304820-q3de7r1p 184 8 the the DT cord-304820-q3de7r1p 184 9 cumulated cumulated JJ cord-304820-q3de7r1p 184 10 number number NN cord-304820-q3de7r1p 184 11 of of IN cord-304820-q3de7r1p 184 12 cases case NNS cord-304820-q3de7r1p 184 13 CR(t CR(t VBN cord-304820-q3de7r1p 184 14 ) ) -RRB- cord-304820-q3de7r1p 184 15 as as IN cord-304820-q3de7r1p 184 16 a a DT cord-304820-q3de7r1p 184 17 function function NN cord-304820-q3de7r1p 184 18 of of IN cord-304820-q3de7r1p 184 19 time time NN cord-304820-q3de7r1p 184 20 . . . cord-304820-q3de7r1p 185 1 In in IN cord-304820-q3de7r1p 185 2 figure figure NN cord-304820-q3de7r1p 185 3 ( ( -LRB- cord-304820-q3de7r1p 185 4 b b NN cord-304820-q3de7r1p 185 5 ) ) -RRB- cord-304820-q3de7r1p 185 6 we -PRON- PRP cord-304820-q3de7r1p 185 7 plot plot VBP cord-304820-q3de7r1p 185 8 the the DT cord-304820-q3de7r1p 185 9 cumulative cumulative JJ cord-304820-q3de7r1p 185 10 number number NN cord-304820-q3de7r1p 185 11 of of IN cord-304820-q3de7r1p 185 12 undetectable undetectable JJ cord-304820-q3de7r1p 185 13 cases case NNS cord-304820-q3de7r1p 185 14 CU CU NNP cord-304820-q3de7r1p 185 15 ( ( -LRB- cord-304820-q3de7r1p 185 16 t t NN cord-304820-q3de7r1p 185 17 ) ) -RRB- cord-304820-q3de7r1p 185 18 as as IN cord-304820-q3de7r1p 185 19 a a DT cord-304820-q3de7r1p 185 20 function function NN cord-304820-q3de7r1p 185 21 of of IN cord-304820-q3de7r1p 185 22 time time NN cord-304820-q3de7r1p 185 23 . . . cord-304820-q3de7r1p 186 1 In in IN cord-304820-q3de7r1p 186 2 figure figure NN cord-304820-q3de7r1p 186 3 ( ( -LRB- cord-304820-q3de7r1p 186 4 c c NN cord-304820-q3de7r1p 186 5 ) ) -RRB- cord-304820-q3de7r1p 186 6 we -PRON- PRP cord-304820-q3de7r1p 186 7 plot plot VBP cord-304820-q3de7r1p 186 8 the the DT cord-304820-q3de7r1p 186 9 cumulative cumulative JJ cord-304820-q3de7r1p 186 10 number number NN cord-304820-q3de7r1p 186 11 of of IN cord-304820-q3de7r1p 186 12 cases case NNS cord-304820-q3de7r1p 186 13 ( ( -LRB- cord-304820-q3de7r1p 186 14 including include VBG cord-304820-q3de7r1p 186 15 covert covert JJ cord-304820-q3de7r1p 186 16 cases case NNS cord-304820-q3de7r1p 186 17 ) ) -RRB- cord-304820-q3de7r1p 187 1 CD(t CD(t NNP cord-304820-q3de7r1p 187 2 ) ) -RRB- cord-304820-q3de7r1p 187 3 as as IN cord-304820-q3de7r1p 187 4 a a DT cord-304820-q3de7r1p 187 5 function function NN cord-304820-q3de7r1p 187 6 of of IN cord-304820-q3de7r1p 187 7 time time NN cord-304820-q3de7r1p 187 8 . . . cord-304820-q3de7r1p 188 1 Note note VB cord-304820-q3de7r1p 188 2 that that IN cord-304820-q3de7r1p 188 3 the the DT cord-304820-q3de7r1p 188 4 total total JJ cord-304820-q3de7r1p 188 5 number number NN cord-304820-q3de7r1p 188 6 of of IN cord-304820-q3de7r1p 188 7 cases case NNS cord-304820-q3de7r1p 188 8 ( ( -LRB- cord-304820-q3de7r1p 188 9 including include VBG cord-304820-q3de7r1p 188 10 covert covert JJ cord-304820-q3de7r1p 188 11 cases case NNS cord-304820-q3de7r1p 188 12 ) ) -RRB- cord-304820-q3de7r1p 188 13 is be VBZ cord-304820-q3de7r1p 188 14 reduced reduce VBN cord-304820-q3de7r1p 188 15 by by IN cord-304820-q3de7r1p 188 16 35 35 CD cord-304820-q3de7r1p 188 17 % % NN cord-304820-q3de7r1p 188 18 when when WRB cord-304820-q3de7r1p 188 19 the the DT cord-304820-q3de7r1p 188 20 number number NN cord-304820-q3de7r1p 188 21 of of IN cord-304820-q3de7r1p 188 22 tests test NNS cord-304820-q3de7r1p 188 23 is be VBZ cord-304820-q3de7r1p 188 24 multiplied multiply VBN cord-304820-q3de7r1p 188 25 by by IN cord-304820-q3de7r1p 188 26 100 100 CD cord-304820-q3de7r1p 188 27 . . . cord-304820-q3de7r1p 189 1 In in IN cord-304820-q3de7r1p 189 2 this this DT cord-304820-q3de7r1p 189 3 article article NN cord-304820-q3de7r1p 189 4 , , , cord-304820-q3de7r1p 189 5 we -PRON- PRP cord-304820-q3de7r1p 189 6 propose propose VBP cord-304820-q3de7r1p 189 7 a a DT cord-304820-q3de7r1p 189 8 new new JJ cord-304820-q3de7r1p 189 9 epidemic epidemic NN cord-304820-q3de7r1p 189 10 model model NN cord-304820-q3de7r1p 189 11 involving involve VBG cord-304820-q3de7r1p 189 12 the the DT cord-304820-q3de7r1p 189 13 daily daily JJ cord-304820-q3de7r1p 189 14 number number NN cord-304820-q3de7r1p 189 15 of of IN cord-304820-q3de7r1p 189 16 tests test NNS cord-304820-q3de7r1p 189 17 as as IN cord-304820-q3de7r1p 189 18 an an DT cord-304820-q3de7r1p 189 19 input input NN cord-304820-q3de7r1p 189 20 of of IN cord-304820-q3de7r1p 189 21 the the DT cord-304820-q3de7r1p 189 22 model model NN cord-304820-q3de7r1p 189 23 . . . cord-304820-q3de7r1p 190 1 The the DT cord-304820-q3de7r1p 190 2 model model NN cord-304820-q3de7r1p 190 3 itself -PRON- PRP cord-304820-q3de7r1p 190 4 is be VBZ cord-304820-q3de7r1p 190 5 extending extend VBG cord-304820-q3de7r1p 190 6 our -PRON- PRP$ cord-304820-q3de7r1p 190 7 previous previous JJ cord-304820-q3de7r1p 190 8 models model NNS cord-304820-q3de7r1p 190 9 presented present VBN cord-304820-q3de7r1p 190 10 in in IN cord-304820-q3de7r1p 190 11 [ [ -LRB- cord-304820-q3de7r1p 190 12 11 11 CD cord-304820-q3de7r1p 190 13 , , , cord-304820-q3de7r1p 190 14 [ [ -LRB- cord-304820-q3de7r1p 190 15 14 14 CD cord-304820-q3de7r1p 190 16 ] ] -RRB- cord-304820-q3de7r1p 190 17 [ [ -LRB- cord-304820-q3de7r1p 190 18 15 15 CD cord-304820-q3de7r1p 190 19 ] ] -RRB- cord-304820-q3de7r1p 190 20 [ [ -LRB- cord-304820-q3de7r1p 190 21 16 16 CD cord-304820-q3de7r1p 190 22 ] ] -RRB- cord-304820-q3de7r1p 191 1 [ [ -LRB- cord-304820-q3de7r1p 191 2 17 17 CD cord-304820-q3de7r1p 191 3 ] ] -RRB- cord-304820-q3de7r1p 191 4 [ [ -LRB- cord-304820-q3de7r1p 191 5 18 18 CD cord-304820-q3de7r1p 191 6 ] ] -RRB- cord-304820-q3de7r1p 191 7 . . . cord-304820-q3de7r1p 192 1 We -PRON- PRP cord-304820-q3de7r1p 192 2 propose propose VBP cord-304820-q3de7r1p 192 3 a a DT cord-304820-q3de7r1p 192 4 new new JJ cord-304820-q3de7r1p 192 5 method method NN cord-304820-q3de7r1p 192 6 to to TO cord-304820-q3de7r1p 192 7 use use VB cord-304820-q3de7r1p 192 8 the the DT cord-304820-q3de7r1p 192 9 data datum NNS cord-304820-q3de7r1p 192 10 in in IN cord-304820-q3de7r1p 192 11 such such PDT cord-304820-q3de7r1p 192 12 a a DT cord-304820-q3de7r1p 192 13 context context NN cord-304820-q3de7r1p 192 14 based base VBN cord-304820-q3de7r1p 192 15 on on IN cord-304820-q3de7r1p 192 16 the the DT cord-304820-q3de7r1p 192 17 fact fact NN cord-304820-q3de7r1p 192 18 that that IN cord-304820-q3de7r1p 192 19 the the DT cord-304820-q3de7r1p 192 20 cumulative cumulative JJ cord-304820-q3de7r1p 192 21 number number NN cord-304820-q3de7r1p 192 22 of of IN cord-304820-q3de7r1p 192 23 tests test NNS cord-304820-q3de7r1p 192 24 grows grow VBZ cord-304820-q3de7r1p 192 25 linearly linearly RB cord-304820-q3de7r1p 192 26 at at IN cord-304820-q3de7r1p 192 27 the the DT cord-304820-q3de7r1p 192 28 early early JJ cord-304820-q3de7r1p 192 29 stage stage NN cord-304820-q3de7r1p 192 30 of of IN cord-304820-q3de7r1p 192 31 the the DT cord-304820-q3de7r1p 192 32 epidemic epidemic NN cord-304820-q3de7r1p 192 33 . . . cord-304820-q3de7r1p 193 1 Figure figure NN cord-304820-q3de7r1p 193 2 3 3 CD cord-304820-q3de7r1p 193 3 shows show VBZ cord-304820-q3de7r1p 193 4 that that IN cord-304820-q3de7r1p 193 5 this this DT cord-304820-q3de7r1p 193 6 is be VBZ cord-304820-q3de7r1p 193 7 a a DT cord-304820-q3de7r1p 193 8 reasonable reasonable JJ cord-304820-q3de7r1p 193 9 assumption assumption NN cord-304820-q3de7r1p 193 10 for for IN cord-304820-q3de7r1p 193 11 the the DT cord-304820-q3de7r1p 193 12 New New NNP cord-304820-q3de7r1p 193 13 - - HYPH cord-304820-q3de7r1p 193 14 York York NNP cord-304820-q3de7r1p 193 15 State State NNP cord-304820-q3de7r1p 193 16 data datum NNS cord-304820-q3de7r1p 193 17 from from IN cord-304820-q3de7r1p 193 18 mid mid NNP cord-304820-q3de7r1p 193 19 - - NNP cord-304820-q3de7r1p 193 20 March March NNP cord-304820-q3de7r1p 193 21 to to IN cord-304820-q3de7r1p 193 22 mid mid NNP cord-304820-q3de7r1p 193 23 - - NNP cord-304820-q3de7r1p 193 24 April April NNP cord-304820-q3de7r1p 193 25 . . . cord-304820-q3de7r1p 194 1 Our -PRON- PRP$ cord-304820-q3de7r1p 194 2 numerical numerical JJ cord-304820-q3de7r1p 194 3 simulations simulation NNS cord-304820-q3de7r1p 194 4 show show VBP cord-304820-q3de7r1p 194 5 a a DT cord-304820-q3de7r1p 194 6 very very RB cord-304820-q3de7r1p 194 7 good good JJ cord-304820-q3de7r1p 194 8 concordance concordance NN cord-304820-q3de7r1p 194 9 between between IN cord-304820-q3de7r1p 194 10 the the DT cord-304820-q3de7r1p 194 11 number number NN cord-304820-q3de7r1p 194 12 of of IN cord-304820-q3de7r1p 194 13 reported report VBN cord-304820-q3de7r1p 194 14 cases case NNS cord-304820-q3de7r1p 194 15 produced produce VBN cord-304820-q3de7r1p 194 16 by by IN cord-304820-q3de7r1p 194 17 the the DT cord-304820-q3de7r1p 194 18 model model NN cord-304820-q3de7r1p 194 19 and and CC cord-304820-q3de7r1p 194 20 the the DT cord-304820-q3de7r1p 194 21 data datum NNS cord-304820-q3de7r1p 194 22 in in IN cord-304820-q3de7r1p 194 23 two two CD cord-304820-q3de7r1p 194 24 very very RB cord-304820-q3de7r1p 194 25 different different JJ cord-304820-q3de7r1p 194 26 situations situation NNS cord-304820-q3de7r1p 194 27 . . . cord-304820-q3de7r1p 195 1 Indeed indeed RB cord-304820-q3de7r1p 195 2 , , , cord-304820-q3de7r1p 195 3 Figures figure NNS cord-304820-q3de7r1p 195 4 5 5 CD cord-304820-q3de7r1p 195 5 and and CC cord-304820-q3de7r1p 195 6 6 6 CD cord-304820-q3de7r1p 195 7 correspond correspond VBP cord-304820-q3de7r1p 195 8 respectively respectively RB cord-304820-q3de7r1p 195 9 to to IN cord-304820-q3de7r1p 195 10 an an DT cord-304820-q3de7r1p 195 11 epidemic epidemic NN cord-304820-q3de7r1p 195 12 without without IN cord-304820-q3de7r1p 195 13 and and CC cord-304820-q3de7r1p 195 14 with with IN cord-304820-q3de7r1p 195 15 public public JJ cord-304820-q3de7r1p 195 16 intervention intervention NN cord-304820-q3de7r1p 195 17 to to TO cord-304820-q3de7r1p 195 18 limit limit VB cord-304820-q3de7r1p 195 19 the the DT cord-304820-q3de7r1p 195 20 number number NN cord-304820-q3de7r1p 195 21 of of IN cord-304820-q3de7r1p 195 22 transmissions transmission NNS cord-304820-q3de7r1p 195 23 . . . cord-304820-q3de7r1p 196 1 This this DT cord-304820-q3de7r1p 196 2 is be VBZ cord-304820-q3de7r1p 196 3 an an DT cord-304820-q3de7r1p 196 4 important important JJ cord-304820-q3de7r1p 196 5 observation observation NN cord-304820-q3de7r1p 196 6 since since IN cord-304820-q3de7r1p 196 7 this this DT cord-304820-q3de7r1p 196 8 shows show VBZ cord-304820-q3de7r1p 196 9 that that IN cord-304820-q3de7r1p 196 10 testing test VBG cord-304820-q3de7r1p 196 11 data datum NNS cord-304820-q3de7r1p 196 12 and and CC cord-304820-q3de7r1p 196 13 reported report VBN cord-304820-q3de7r1p 196 14 cases case NNS cord-304820-q3de7r1p 196 15 are be VBP cord-304820-q3de7r1p 196 16 not not RB cord-304820-q3de7r1p 196 17 sufficient sufficient JJ cord-304820-q3de7r1p 196 18 to to TO cord-304820-q3de7r1p 196 19 evaluate evaluate VB cord-304820-q3de7r1p 196 20 the the DT cord-304820-q3de7r1p 196 21 real real JJ cord-304820-q3de7r1p 196 22 amplitude amplitude NN cord-304820-q3de7r1p 196 23 of of IN cord-304820-q3de7r1p 196 24 the the DT cord-304820-q3de7r1p 196 25 epidemic epidemic NN cord-304820-q3de7r1p 196 26 . . . cord-304820-q3de7r1p 197 1 To to TO cord-304820-q3de7r1p 197 2 solve solve VB cord-304820-q3de7r1p 197 3 this this DT cord-304820-q3de7r1p 197 4 problem problem NN cord-304820-q3de7r1p 197 5 , , , cord-304820-q3de7r1p 197 6 the the DT cord-304820-q3de7r1p 197 7 only only JJ cord-304820-q3de7r1p 197 8 solution solution NN cord-304820-q3de7r1p 197 9 seems seem VBZ cord-304820-q3de7r1p 197 10 to to TO cord-304820-q3de7r1p 197 11 include include VB cord-304820-q3de7r1p 197 12 a a DT cord-304820-q3de7r1p 197 13 different different JJ cord-304820-q3de7r1p 197 14 kind kind NN cord-304820-q3de7r1p 197 15 of of IN cord-304820-q3de7r1p 197 16 data datum NNS cord-304820-q3de7r1p 197 17 to to IN cord-304820-q3de7r1p 197 18 the the DT cord-304820-q3de7r1p 197 19 models model NNS cord-304820-q3de7r1p 197 20 . . . cord-304820-q3de7r1p 198 1 This this DT cord-304820-q3de7r1p 198 2 could could MD cord-304820-q3de7r1p 198 3 be be VB cord-304820-q3de7r1p 198 4 done do VBN cord-304820-q3de7r1p 198 5 by by IN cord-304820-q3de7r1p 198 6 studying study VBG cord-304820-q3de7r1p 198 7 statistically statistically RB cord-304820-q3de7r1p 198 8 representative representative JJ cord-304820-q3de7r1p 198 9 samples sample NNS cord-304820-q3de7r1p 198 10 in in IN cord-304820-q3de7r1p 198 11 the the DT cord-304820-q3de7r1p 198 12 population population NN cord-304820-q3de7r1p 198 13 . . . cord-304820-q3de7r1p 199 1 Otherwise otherwise RB cord-304820-q3de7r1p 199 2 , , , cord-304820-q3de7r1p 199 3 biases bias NNS cord-304820-q3de7r1p 199 4 can can MD cord-304820-q3de7r1p 199 5 always always RB cord-304820-q3de7r1p 199 6 be be VB cord-304820-q3de7r1p 199 7 suspected suspect VBN cord-304820-q3de7r1p 199 8 . . . cord-304820-q3de7r1p 200 1 Such such JJ cord-304820-q3de7r1p 200 2 a a DT cord-304820-q3de7r1p 200 3 question question NN cord-304820-q3de7r1p 200 4 is be VBZ cord-304820-q3de7r1p 200 5 of of IN cord-304820-q3de7r1p 200 6 particular particular JJ cord-304820-q3de7r1p 200 7 interest interest NN cord-304820-q3de7r1p 200 8 in in IN cord-304820-q3de7r1p 200 9 order order NN cord-304820-q3de7r1p 200 10 to to TO cord-304820-q3de7r1p 200 11 evaluate evaluate VB cord-304820-q3de7r1p 200 12 the the DT cord-304820-q3de7r1p 200 13 fraction fraction NN cord-304820-q3de7r1p 200 14 of of IN cord-304820-q3de7r1p 200 15 the the DT cord-304820-q3de7r1p 200 16 population population NN cord-304820-q3de7r1p 200 17 that that WDT cord-304820-q3de7r1p 200 18 has have VBZ cord-304820-q3de7r1p 200 19 been be VBN cord-304820-q3de7r1p 200 20 infected infect VBN cord-304820-q3de7r1p 200 21 by by IN cord-304820-q3de7r1p 200 22 the the DT cord-304820-q3de7r1p 200 23 virus virus NN cord-304820-q3de7r1p 200 24 and and CC cord-304820-q3de7r1p 200 25 their -PRON- PRP$ cord-304820-q3de7r1p 200 26 possible possible JJ cord-304820-q3de7r1p 200 27 immunity immunity NN cord-304820-q3de7r1p 200 28 . . . cord-304820-q3de7r1p 201 1 In in IN cord-304820-q3de7r1p 201 2 Figure Figure NNP cord-304820-q3de7r1p 201 3 7 7 CD cord-304820-q3de7r1p 201 4 , , , cord-304820-q3de7r1p 201 5 we -PRON- PRP cord-304820-q3de7r1p 201 6 compare compare VBP cord-304820-q3de7r1p 201 7 the the DT cord-304820-q3de7r1p 201 8 testing testing NN cord-304820-q3de7r1p 201 9 dynamic dynamic JJ cord-304820-q3de7r1p 201 10 ( ( -LRB- cord-304820-q3de7r1p 201 11 day day NN cord-304820-q3de7r1p 201 12 by by IN cord-304820-q3de7r1p 201 13 day day NN cord-304820-q3de7r1p 201 14 variation variation NN cord-304820-q3de7r1p 201 15 in in IN cord-304820-q3de7r1p 201 16 the the DT cord-304820-q3de7r1p 201 17 number number NN cord-304820-q3de7r1p 201 18 of of IN cord-304820-q3de7r1p 201 19 tests test NNS cord-304820-q3de7r1p 201 20 ) ) -RRB- cord-304820-q3de7r1p 201 21 and and CC cord-304820-q3de7r1p 201 22 the the DT cord-304820-q3de7r1p 201 23 reported report VBN cord-304820-q3de7r1p 201 24 cases case NNS cord-304820-q3de7r1p 201 25 dynamic dynamic JJ cord-304820-q3de7r1p 201 26 ( ( -LRB- cord-304820-q3de7r1p 201 27 day day NN cord-304820-q3de7r1p 201 28 by by IN cord-304820-q3de7r1p 201 29 day day NN cord-304820-q3de7r1p 201 30 variation variation NN cord-304820-q3de7r1p 201 31 in in IN cord-304820-q3de7r1p 201 32 the the DT cord-304820-q3de7r1p 201 33 number number NN cord-304820-q3de7r1p 201 34 of of IN cord-304820-q3de7r1p 201 35 reported report VBN cord-304820-q3de7r1p 201 36 ) ) -RRB- cord-304820-q3de7r1p 201 37 . . . cord-304820-q3de7r1p 202 1 Indeed indeed RB cord-304820-q3de7r1p 202 2 , , , cord-304820-q3de7r1p 202 3 the the DT cord-304820-q3de7r1p 202 4 daily daily JJ cord-304820-q3de7r1p 202 5 case case NN cord-304820-q3de7r1p 202 6 is be VBZ cord-304820-q3de7r1p 202 7 extremely extremely RB cord-304820-q3de7r1p 202 8 complex complex JJ cord-304820-q3de7r1p 202 9 , , , cord-304820-q3de7r1p 202 10 but but CC cord-304820-q3de7r1p 202 11 we -PRON- PRP cord-304820-q3de7r1p 202 12 also also RB cord-304820-q3de7r1p 202 13 obtain obtain VBP cord-304820-q3de7r1p 202 14 some some DT cord-304820-q3de7r1p 202 15 relatively relatively RB cord-304820-q3de7r1p 202 16 robust robust JJ cord-304820-q3de7r1p 202 17 curve curve NN cord-304820-q3de7r1p 202 18 for for IN cord-304820-q3de7r1p 202 19 the the DT cord-304820-q3de7r1p 202 20 cumulative cumulative JJ cord-304820-q3de7r1p 202 21 numbers number NNS cord-304820-q3de7r1p 202 22 . . . cord-304820-q3de7r1p 203 1 Our -PRON- PRP$ cord-304820-q3de7r1p 203 2 model model NN cord-304820-q3de7r1p 203 3 give give VBP cord-304820-q3de7r1p 203 4 a a DT cord-304820-q3de7r1p 203 5 good good JJ cord-304820-q3de7r1p 203 6 fit fit NN cord-304820-q3de7r1p 203 7 for for IN cord-304820-q3de7r1p 203 8 this this DT cord-304820-q3de7r1p 203 9 cumulative cumulative JJ cord-304820-q3de7r1p 203 10 cases case NNS cord-304820-q3de7r1p 203 11 . . . cord-304820-q3de7r1p 204 1 In in IN cord-304820-q3de7r1p 204 2 Figure Figure NNP cord-304820-q3de7r1p 204 3 8 8 CD cord-304820-q3de7r1p 204 4 , , , cord-304820-q3de7r1p 204 5 we -PRON- PRP cord-304820-q3de7r1p 204 6 compare compare VBP cord-304820-q3de7r1p 204 7 multiple multiple JJ cord-304820-q3de7r1p 204 8 testing testing NN cord-304820-q3de7r1p 204 9 strategies strategy NNS cord-304820-q3de7r1p 204 10 . . . cord-304820-q3de7r1p 205 1 By by IN cord-304820-q3de7r1p 205 2 increasing increase VBG cord-304820-q3de7r1p 205 3 2 2 CD cord-304820-q3de7r1p 205 4 , , , cord-304820-q3de7r1p 205 5 5 5 CD cord-304820-q3de7r1p 205 6 , , , cord-304820-q3de7r1p 205 7 10 10 CD cord-304820-q3de7r1p 205 8 and and CC cord-304820-q3de7r1p 205 9 100 100 CD cord-304820-q3de7r1p 205 10 times time NNS cord-304820-q3de7r1p 205 11 the the DT cord-304820-q3de7r1p 205 12 number number NN cord-304820-q3de7r1p 205 13 of of IN cord-304820-q3de7r1p 205 14 tests test NNS cord-304820-q3de7r1p 205 15 , , , cord-304820-q3de7r1p 205 16 we -PRON- PRP cord-304820-q3de7r1p 205 17 can can MD cord-304820-q3de7r1p 205 18 observe observe VB cord-304820-q3de7r1p 205 19 that that IN cord-304820-q3de7r1p 205 20 this this DT cord-304820-q3de7r1p 205 21 efficient efficient JJ cord-304820-q3de7r1p 205 22 up up IN cord-304820-q3de7r1p 205 23 to to IN cord-304820-q3de7r1p 205 24 some some DT cord-304820-q3de7r1p 205 25 point point NN cord-304820-q3de7r1p 205 26 10 10 CD cord-304820-q3de7r1p 205 27 and and CC cord-304820-q3de7r1p 205 28 but but CC cord-304820-q3de7r1p 205 29 increasing increase VBG cord-304820-q3de7r1p 205 30 100 100 CD cord-304820-q3de7r1p 205 31 times time NNS cord-304820-q3de7r1p 205 32 is be VBZ cord-304820-q3de7r1p 205 33 not not RB cord-304820-q3de7r1p 205 34 making make VBG cord-304820-q3de7r1p 205 35 a a DT cord-304820-q3de7r1p 205 36 big big JJ cord-304820-q3de7r1p 205 37 difference difference NN cord-304820-q3de7r1p 205 38 . . . cord-304820-q3de7r1p 206 1 Therefore therefore RB cord-304820-q3de7r1p 206 2 , , , cord-304820-q3de7r1p 206 3 it -PRON- PRP cord-304820-q3de7r1p 206 4 is be VBZ cord-304820-q3de7r1p 206 5 useless useless JJ cord-304820-q3de7r1p 206 6 to to TO cord-304820-q3de7r1p 206 7 test test VB cord-304820-q3de7r1p 206 8 to to IN cord-304820-q3de7r1p 206 9 many many JJ cord-304820-q3de7r1p 206 10 peoples people NNS cord-304820-q3de7r1p 206 11 and and CC cord-304820-q3de7r1p 206 12 there there EX cord-304820-q3de7r1p 206 13 must must MD cord-304820-q3de7r1p 206 14 an an DT cord-304820-q3de7r1p 206 15 optimum optimum JJ cord-304820-q3de7r1p 206 16 ( ( -LRB- cord-304820-q3de7r1p 206 17 between between IN cord-304820-q3de7r1p 206 18 the the DT cord-304820-q3de7r1p 206 19 cost cost NN cord-304820-q3de7r1p 206 20 of of IN cord-304820-q3de7r1p 206 21 the the DT cord-304820-q3de7r1p 206 22 tests test NNS cord-304820-q3de7r1p 206 23 ) ) -RRB- cord-304820-q3de7r1p 206 24 and and CC cord-304820-q3de7r1p 206 25 the the DT cord-304820-q3de7r1p 206 26 efficiency efficiency NN cord-304820-q3de7r1p 206 27 in in IN cord-304820-q3de7r1p 206 28 the the DT cord-304820-q3de7r1p 206 29 evaluation evaluation NN cord-304820-q3de7r1p 206 30 of of IN cord-304820-q3de7r1p 206 31 the the DT cord-304820-q3de7r1p 206 32 number number NN cord-304820-q3de7r1p 206 33 of of IN cord-304820-q3de7r1p 206 34 cases case NNS cord-304820-q3de7r1p 206 35 . . . cord-304820-q3de7r1p 207 1 Infective Infective NNP cord-304820-q3de7r1p 207 2 Diseases Diseases NNPS cord-304820-q3de7r1p 207 3 of of IN cord-304820-q3de7r1p 207 4 Humans Humans NNPS cord-304820-q3de7r1p 207 5 : : : cord-304820-q3de7r1p 207 6 Dynamics dynamic NNS cord-304820-q3de7r1p 207 7 and and CC cord-304820-q3de7r1p 207 8 Control Control NNP cord-304820-q3de7r1p 207 9 Simple simple JJ cord-304820-q3de7r1p 207 10 models model NNS cord-304820-q3de7r1p 207 11 for for IN cord-304820-q3de7r1p 207 12 containment containment NN cord-304820-q3de7r1p 207 13 of of IN cord-304820-q3de7r1p 207 14 a a DT cord-304820-q3de7r1p 207 15 pandemic pandemic NN cord-304820-q3de7r1p 208 1 The the DT cord-304820-q3de7r1p 208 2 Mathematical Mathematical NNP cord-304820-q3de7r1p 208 3 Theory Theory NNP cord-304820-q3de7r1p 208 4 of of IN cord-304820-q3de7r1p 208 5 Epidemics Epidemics NNP cord-304820-q3de7r1p 208 6 Mathematical Mathematical NNP cord-304820-q3de7r1p 208 7 epidemiology epidemiology NN cord-304820-q3de7r1p 208 8 Mathematical Mathematical NNP cord-304820-q3de7r1p 208 9 models model NNS cord-304820-q3de7r1p 208 10 in in IN cord-304820-q3de7r1p 208 11 epidemiology epidemiology NN cord-304820-q3de7r1p 208 12 Vertically vertically RB cord-304820-q3de7r1p 208 13 Transmitted transmit VBN cord-304820-q3de7r1p 208 14 Diseases disease NNS cord-304820-q3de7r1p 208 15 : : : cord-304820-q3de7r1p 208 16 Models model NNS cord-304820-q3de7r1p 208 17 and and CC cord-304820-q3de7r1p 208 18 Dynamics dynamic NNS cord-304820-q3de7r1p 209 1 The the DT cord-304820-q3de7r1p 209 2 basic basic JJ cord-304820-q3de7r1p 209 3 reproductive reproductive JJ cord-304820-q3de7r1p 209 4 number number NN cord-304820-q3de7r1p 209 5 of of IN cord-304820-q3de7r1p 209 6 Ebola Ebola NNP cord-304820-q3de7r1p 209 7 and and CC cord-304820-q3de7r1p 209 8 the the DT cord-304820-q3de7r1p 209 9 effects effect NNS cord-304820-q3de7r1p 209 10 of of IN cord-304820-q3de7r1p 209 11 public public JJ cord-304820-q3de7r1p 209 12 health health NN cord-304820-q3de7r1p 209 13 measures measure NNS cord-304820-q3de7r1p 209 14 : : : cord-304820-q3de7r1p 209 15 the the DT cord-304820-q3de7r1p 209 16 cases case NNS cord-304820-q3de7r1p 209 17 of of IN cord-304820-q3de7r1p 209 18 Congo Congo NNP cord-304820-q3de7r1p 209 19 and and CC cord-304820-q3de7r1p 209 20 Uganda Uganda NNP cord-304820-q3de7r1p 209 21 Modelling Modelling NNP cord-304820-q3de7r1p 209 22 the the DT cord-304820-q3de7r1p 209 23 COVID-19 covid-19 JJ cord-304820-q3de7r1p 209 24 epidemics epidemic NNS cord-304820-q3de7r1p 209 25 in in IN cord-304820-q3de7r1p 209 26 Brasil Brasil NNP cord-304820-q3de7r1p 209 27 : : : cord-304820-q3de7r1p 209 28 Parametric parametric JJ cord-304820-q3de7r1p 209 29 identification identification NN cord-304820-q3de7r1p 209 30 and and CC cord-304820-q3de7r1p 209 31 public public JJ cord-304820-q3de7r1p 209 32 health health NN cord-304820-q3de7r1p 209 33 measures measure NNS cord-304820-q3de7r1p 209 34 influence influence VBP cord-304820-q3de7r1p 209 35 Mathematical Mathematical NNP cord-304820-q3de7r1p 209 36 Tools Tools NNPS cord-304820-q3de7r1p 209 37 for for IN cord-304820-q3de7r1p 209 38 Understanding understand VBG cord-304820-q3de7r1p 209 39 Infectious Infectious NNP cord-304820-q3de7r1p 209 40 Disease Disease NNP cord-304820-q3de7r1p 209 41 Dynamics Dynamics NNPS cord-304820-q3de7r1p 209 42 Unreported unreported JJ cord-304820-q3de7r1p 209 43 cases case NNS cord-304820-q3de7r1p 209 44 for for IN cord-304820-q3de7r1p 209 45 Age Age NNP cord-304820-q3de7r1p 209 46 Dependent Dependent NNP cord-304820-q3de7r1p 209 47 COVID-19 COVID-19 NNP cord-304820-q3de7r1p 209 48 Outbreak outbreak NN cord-304820-q3de7r1p 209 49 in in IN cord-304820-q3de7r1p 209 50 Japan Japan NNP cord-304820-q3de7r1p 210 1 The the DT cord-304820-q3de7r1p 210 2 mathematics mathematic NNS cord-304820-q3de7r1p 210 3 of of IN cord-304820-q3de7r1p 210 4 infectious infectious JJ cord-304820-q3de7r1p 210 5 diseases disease NNS cord-304820-q3de7r1p 210 6 Modeling model VBG cord-304820-q3de7r1p 210 7 infectious infectious JJ cord-304820-q3de7r1p 210 8 diseases disease NNS cord-304820-q3de7r1p 210 9 in in IN cord-304820-q3de7r1p 210 10 humans human NNS cord-304820-q3de7r1p 210 11 and and CC cord-304820-q3de7r1p 210 12 animals animal NNS cord-304820-q3de7r1p 211 1 Understanding understand VBG cord-304820-q3de7r1p 211 2 unreported unreported JJ cord-304820-q3de7r1p 211 3 cases case NNS cord-304820-q3de7r1p 211 4 in in IN cord-304820-q3de7r1p 211 5 the the DT cord-304820-q3de7r1p 211 6 2019-nCov 2019-ncov CD cord-304820-q3de7r1p 211 7 epidemic epidemic NN cord-304820-q3de7r1p 211 8 outbreak outbreak NN cord-304820-q3de7r1p 211 9 in in IN cord-304820-q3de7r1p 211 10 Wuhan Wuhan NNP cord-304820-q3de7r1p 211 11 , , , cord-304820-q3de7r1p 211 12 China China NNP cord-304820-q3de7r1p 211 13 , , , cord-304820-q3de7r1p 211 14 and and CC cord-304820-q3de7r1p 211 15 the the DT cord-304820-q3de7r1p 211 16 importance importance NN cord-304820-q3de7r1p 211 17 of of IN cord-304820-q3de7r1p 211 18 major major JJ cord-304820-q3de7r1p 211 19 public public JJ cord-304820-q3de7r1p 211 20 health health NN cord-304820-q3de7r1p 211 21 interventions intervention NNS cord-304820-q3de7r1p 211 22 Predicting predict VBG cord-304820-q3de7r1p 211 23 the the DT cord-304820-q3de7r1p 211 24 cumulative cumulative JJ cord-304820-q3de7r1p 211 25 number number NN cord-304820-q3de7r1p 211 26 of of IN cord-304820-q3de7r1p 211 27 cases case NNS cord-304820-q3de7r1p 211 28 for for IN cord-304820-q3de7r1p 211 29 the the DT cord-304820-q3de7r1p 211 30 COVID-19 covid-19 JJ cord-304820-q3de7r1p 211 31 epidemic epidemic NN cord-304820-q3de7r1p 211 32 in in IN cord-304820-q3de7r1p 211 33 China China NNP cord-304820-q3de7r1p 211 34 from from IN cord-304820-q3de7r1p 211 35 early early JJ cord-304820-q3de7r1p 211 36 data datum NNS cord-304820-q3de7r1p 212 1 A a DT cord-304820-q3de7r1p 212 2 COVID-19 covid-19 JJ cord-304820-q3de7r1p 212 3 epidemic epidemic NN cord-304820-q3de7r1p 212 4 model model NN cord-304820-q3de7r1p 212 5 with with IN cord-304820-q3de7r1p 212 6 latency latency NN cord-304820-q3de7r1p 212 7 period period NN cord-304820-q3de7r1p 212 8 A a DT cord-304820-q3de7r1p 212 9 model model NN cord-304820-q3de7r1p 212 10 to to TO cord-304820-q3de7r1p 212 11 predict predict VB cord-304820-q3de7r1p 212 12 COVID-19 COVID-19 NNP cord-304820-q3de7r1p 212 13 epidemics epidemic NNS cord-304820-q3de7r1p 212 14 with with IN cord-304820-q3de7r1p 212 15 applications application NNS cord-304820-q3de7r1p 212 16 to to IN cord-304820-q3de7r1p 212 17 South South NNP cord-304820-q3de7r1p 212 18 Korea Korea NNP cord-304820-q3de7r1p 212 19 Predicting predict VBG cord-304820-q3de7r1p 212 20 the the DT cord-304820-q3de7r1p 212 21 number number NN cord-304820-q3de7r1p 212 22 of of IN cord-304820-q3de7r1p 212 23 reported report VBN cord-304820-q3de7r1p 212 24 and and CC cord-304820-q3de7r1p 212 25 unreported unreported JJ cord-304820-q3de7r1p 212 26 cases case NNS cord-304820-q3de7r1p 212 27 for for IN cord-304820-q3de7r1p 212 28 the the DT cord-304820-q3de7r1p 212 29 COVID-19 COVID-19 NNP cord-304820-q3de7r1p 212 30 epidemics epidemic NNS cord-304820-q3de7r1p 212 31 in in IN cord-304820-q3de7r1p 212 32 China China NNP cord-304820-q3de7r1p 212 33 Estimating estimate VBG cord-304820-q3de7r1p 212 34 the the DT cord-304820-q3de7r1p 212 35 asymptomatic asymptomatic JJ cord-304820-q3de7r1p 212 36 proportion proportion NN cord-304820-q3de7r1p 212 37 of of IN cord-304820-q3de7r1p 212 38 coronavirus coronavirus NN cord-304820-q3de7r1p 212 39 disease disease NN cord-304820-q3de7r1p 212 40 2019 2019 CD cord-304820-q3de7r1p 212 41 ( ( -LRB- cord-304820-q3de7r1p 212 42 COVID-19 COVID-19 NNP cord-304820-q3de7r1p 212 43 ) ) -RRB- cord-304820-q3de7r1p 212 44 cases case NNS cord-304820-q3de7r1p 212 45 on on IN cord-304820-q3de7r1p 212 46 board board NN cord-304820-q3de7r1p 212 47 the the DT cord-304820-q3de7r1p 212 48 Diamond Diamond NNP cord-304820-q3de7r1p 212 49 Princess Princess NNP cord-304820-q3de7r1p 212 50 cruise cruise NN cord-304820-q3de7r1p 212 51 ship ship NN cord-304820-q3de7r1p 213 1 Covert covert JJ cord-304820-q3de7r1p 213 2 coronavirus coronavirus NN cord-304820-q3de7r1p 213 3 infections infection NNS cord-304820-q3de7r1p 213 4 could could MD cord-304820-q3de7r1p 213 5 be be VB cord-304820-q3de7r1p 213 6 seeding seed VBG cord-304820-q3de7r1p 213 7 new new JJ cord-304820-q3de7r1p 213 8 outbreaks outbreak NNS cord-304820-q3de7r1p 213 9 Using use VBG cord-304820-q3de7r1p 213 10 Early early JJ cord-304820-q3de7r1p 213 11 Data Data NNP cord-304820-q3de7r1p 213 12 to to TO cord-304820-q3de7r1p 213 13 Estimate estimate VB cord-304820-q3de7r1p 213 14 the the DT cord-304820-q3de7r1p 213 15 Actual actual JJ cord-304820-q3de7r1p 213 16 Infection infection NN cord-304820-q3de7r1p 213 17 Fatality Fatality NNP cord-304820-q3de7r1p 213 18 Ratio Ratio NNP cord-304820-q3de7r1p 213 19 from from IN cord-304820-q3de7r1p 213 20 COVID-19 COVID-19 NNP cord-304820-q3de7r1p 213 21 in in IN cord-304820-q3de7r1p 213 22 France France NNP cord-304820-q3de7r1p 213 23 Effect Effect NNP cord-304820-q3de7r1p 213 24 of of IN cord-304820-q3de7r1p 213 25 a a DT cord-304820-q3de7r1p 213 26 one one CD cord-304820-q3de7r1p 213 27 - - HYPH cord-304820-q3de7r1p 213 28 month month NN cord-304820-q3de7r1p 213 29 lockdown lockdown NN cord-304820-q3de7r1p 213 30 on on IN cord-304820-q3de7r1p 213 31 the the DT cord-304820-q3de7r1p 213 32 epidemic epidemic NN cord-304820-q3de7r1p 213 33 dynamics dynamic NNS cord-304820-q3de7r1p 213 34 of of IN cord-304820-q3de7r1p 213 35 COVID-19 COVID-19 NNP cord-304820-q3de7r1p 213 36 in in IN cord-304820-q3de7r1p 213 37 France France NNP cord-304820-q3de7r1p 213 38 Transmission Transmission NNP cord-304820-q3de7r1p 213 39 of of IN cord-304820-q3de7r1p 213 40 2019-nCoV 2019-ncov CD cord-304820-q3de7r1p 213 41 infection infection NN cord-304820-q3de7r1p 213 42 from from IN cord-304820-q3de7r1p 213 43 an an DT cord-304820-q3de7r1p 213 44 asymptomatic asymptomatic JJ cord-304820-q3de7r1p 213 45 contact contact NN cord-304820-q3de7r1p 213 46 in in IN cord-304820-q3de7r1p 213 47 Germany Germany NNP cord-304820-q3de7r1p 213 48 Mathematics Mathematics NNP cord-304820-q3de7r1p 213 49 in in IN cord-304820-q3de7r1p 213 50 Population Population NNP cord-304820-q3de7r1p 213 51 Biology Biology NNP cord-304820-q3de7r1p 213 52 Estimation Estimation NNP cord-304820-q3de7r1p 213 53 of of IN cord-304820-q3de7r1p 213 54 the the DT cord-304820-q3de7r1p 213 55 transmissionrisk transmissionrisk NN cord-304820-q3de7r1p 213 56 of of IN cord-304820-q3de7r1p 213 57 the the DT cord-304820-q3de7r1p 213 58 2019-nCoV 2019-ncov CD cord-304820-q3de7r1p 213 59 and and CC cord-304820-q3de7r1p 213 60 its -PRON- PRP$ cord-304820-q3de7r1p 213 61 implication implication NN cord-304820-q3de7r1p 213 62 for for IN cord-304820-q3de7r1p 213 63 public public JJ cord-304820-q3de7r1p 213 64 health health NN cord-304820-q3de7r1p 213 65 interventions intervention NNS cord-304820-q3de7r1p 213 66 Evolving evolve VBG cord-304820-q3de7r1p 213 67 Epidemiology Epidemiology NNP cord-304820-q3de7r1p 213 68 and and CC cord-304820-q3de7r1p 213 69 Impact Impact NNP cord-304820-q3de7r1p 213 70 of of IN cord-304820-q3de7r1p 213 71 Non non JJ cord-304820-q3de7r1p 213 72 - - JJ cord-304820-q3de7r1p 213 73 pharmaceutical pharmaceutical JJ cord-304820-q3de7r1p 213 74 Interventions Interventions NNPS cord-304820-q3de7r1p 213 75 on on IN cord-304820-q3de7r1p 213 76 the the DT cord-304820-q3de7r1p 213 77 Outbreak outbreak NN cord-304820-q3de7r1p 213 78 of of IN cord-304820-q3de7r1p 213 79 Coronavirus Coronavirus NNP cord-304820-q3de7r1p 213 80 Disease Disease NNP cord-304820-q3de7r1p 213 81 Nowcasting Nowcasting NNP cord-304820-q3de7r1p 213 82 and and CC cord-304820-q3de7r1p 213 83 forecasting forecast VBG cord-304820-q3de7r1p 213 84 the the DT cord-304820-q3de7r1p 213 85 potential potential JJ cord-304820-q3de7r1p 213 86 domestic domestic JJ cord-304820-q3de7r1p 213 87 and and CC cord-304820-q3de7r1p 213 88 inter inter JJ cord-304820-q3de7r1p 213 89 - - JJ cord-304820-q3de7r1p 213 90 national national JJ cord-304820-q3de7r1p 213 91 spread spread NN cord-304820-q3de7r1p 213 92 of of IN cord-304820-q3de7r1p 213 93 the the DT cord-304820-q3de7r1p 213 94 2019-nCoV 2019-ncov CD cord-304820-q3de7r1p 213 95 outbreak outbreak NN cord-304820-q3de7r1p 213 96 originating originate VBG cord-304820-q3de7r1p 213 97 in in IN cord-304820-q3de7r1p 213 98 Wuhan Wuhan NNP cord-304820-q3de7r1p 213 99 , , , cord-304820-q3de7r1p 213 100 China China NNP cord-304820-q3de7r1p 213 101 : : : cord-304820-q3de7r1p 213 102 a a DT cord-304820-q3de7r1p 213 103 modelling modelling NN cord-304820-q3de7r1p 213 104 study study NN