id sid tid token lemma pos cord-283985-8mdnkegz 1 1 key key JJ cord-283985-8mdnkegz 1 2 : : : cord-283985-8mdnkegz 1 3 cord-283985 cord-283985 NN cord-283985-8mdnkegz 1 4 - - HYPH cord-283985-8mdnkegz 1 5 8mdnkegz 8mdnkegz CD cord-283985-8mdnkegz 1 6 authors author NNS cord-283985-8mdnkegz 1 7 : : : cord-283985-8mdnkegz 1 8 Yang Yang NNP cord-283985-8mdnkegz 1 9 , , , cord-283985-8mdnkegz 1 10 Chayu Chayu NNP cord-283985-8mdnkegz 1 11 ; ; : cord-283985-8mdnkegz 1 12 Wang Wang NNP cord-283985-8mdnkegz 1 13 , , , cord-283985-8mdnkegz 2 1 Jin Jin NNP cord-283985-8mdnkegz 2 2 title title NN cord-283985-8mdnkegz 2 3 : : : cord-283985-8mdnkegz 2 4 A a DT cord-283985-8mdnkegz 2 5 mathematical mathematical JJ cord-283985-8mdnkegz 2 6 model model NN cord-283985-8mdnkegz 2 7 for for IN cord-283985-8mdnkegz 2 8 the the DT cord-283985-8mdnkegz 2 9 novel novel JJ cord-283985-8mdnkegz 2 10 coronavirus coronavirus NN cord-283985-8mdnkegz 2 11 epidemic epidemic NN cord-283985-8mdnkegz 2 12 in in IN cord-283985-8mdnkegz 2 13 Wuhan Wuhan NNP cord-283985-8mdnkegz 2 14 , , , cord-283985-8mdnkegz 3 1 China China NNP cord-283985-8mdnkegz 3 2 date date NN cord-283985-8mdnkegz 4 1 : : : cord-283985-8mdnkegz 4 2 2020 2020 CD cord-283985-8mdnkegz 4 3 - - HYPH cord-283985-8mdnkegz 4 4 03 03 CD cord-283985-8mdnkegz 4 5 - - HYPH cord-283985-8mdnkegz 4 6 11 11 CD cord-283985-8mdnkegz 4 7 journal journal NN cord-283985-8mdnkegz 4 8 : : : cord-283985-8mdnkegz 5 1 Math Math NNP cord-283985-8mdnkegz 5 2 Biosci Biosci NNP cord-283985-8mdnkegz 6 1 Eng Eng NNP cord-283985-8mdnkegz 6 2 DOI DOI NNP cord-283985-8mdnkegz 6 3 : : : cord-283985-8mdnkegz 6 4 10.3934 10.3934 CD cord-283985-8mdnkegz 6 5 / / SYM cord-283985-8mdnkegz 6 6 mbe.2020148 mbe.2020148 XX cord-283985-8mdnkegz 7 1 sha sha NNP cord-283985-8mdnkegz 7 2 : : : cord-283985-8mdnkegz 7 3 73fcc6327416fa4bb710abec689d0505cc861f03 73fcc6327416fa4bb710abec689d0505cc861f03 NNP cord-283985-8mdnkegz 7 4 doc_id doc_id CD cord-283985-8mdnkegz 7 5 : : : cord-283985-8mdnkegz 7 6 283985 283985 CD cord-283985-8mdnkegz 7 7 cord_uid cord_uid NNS cord-283985-8mdnkegz 7 8 : : : cord-283985-8mdnkegz 8 1 8mdnkegz 8mdnkegz LS cord-283985-8mdnkegz 9 1 We -PRON- PRP cord-283985-8mdnkegz 9 2 propose propose VBP cord-283985-8mdnkegz 9 3 a a DT cord-283985-8mdnkegz 9 4 mathematical mathematical JJ cord-283985-8mdnkegz 9 5 model model NN cord-283985-8mdnkegz 9 6 to to TO cord-283985-8mdnkegz 9 7 investigate investigate VB cord-283985-8mdnkegz 9 8 the the DT cord-283985-8mdnkegz 9 9 current current JJ cord-283985-8mdnkegz 9 10 outbreak outbreak NN cord-283985-8mdnkegz 9 11 of of IN cord-283985-8mdnkegz 9 12 the the DT cord-283985-8mdnkegz 9 13 coronavirus coronavirus NN cord-283985-8mdnkegz 9 14 disease disease NN cord-283985-8mdnkegz 9 15 2019 2019 CD cord-283985-8mdnkegz 9 16 ( ( -LRB- cord-283985-8mdnkegz 9 17 COVID-19 COVID-19 NNP cord-283985-8mdnkegz 9 18 ) ) -RRB- cord-283985-8mdnkegz 9 19 in in IN cord-283985-8mdnkegz 9 20 Wuhan Wuhan NNP cord-283985-8mdnkegz 9 21 , , , cord-283985-8mdnkegz 9 22 China China NNP cord-283985-8mdnkegz 9 23 . . . cord-283985-8mdnkegz 10 1 Our -PRON- PRP$ cord-283985-8mdnkegz 10 2 model model NN cord-283985-8mdnkegz 10 3 describes describe VBZ cord-283985-8mdnkegz 10 4 the the DT cord-283985-8mdnkegz 10 5 multiple multiple JJ cord-283985-8mdnkegz 10 6 transmission transmission NN cord-283985-8mdnkegz 10 7 pathways pathway NNS cord-283985-8mdnkegz 10 8 in in IN cord-283985-8mdnkegz 10 9 the the DT cord-283985-8mdnkegz 10 10 infection infection NN cord-283985-8mdnkegz 10 11 dynamics dynamic NNS cord-283985-8mdnkegz 10 12 , , , cord-283985-8mdnkegz 10 13 and and CC cord-283985-8mdnkegz 10 14 emphasizes emphasize VBZ cord-283985-8mdnkegz 10 15 the the DT cord-283985-8mdnkegz 10 16 role role NN cord-283985-8mdnkegz 10 17 of of IN cord-283985-8mdnkegz 10 18 the the DT cord-283985-8mdnkegz 10 19 environmental environmental JJ cord-283985-8mdnkegz 10 20 reservoir reservoir NN cord-283985-8mdnkegz 10 21 in in IN cord-283985-8mdnkegz 10 22 the the DT cord-283985-8mdnkegz 10 23 transmission transmission NN cord-283985-8mdnkegz 10 24 and and CC cord-283985-8mdnkegz 10 25 spread spread NN cord-283985-8mdnkegz 10 26 of of IN cord-283985-8mdnkegz 10 27 this this DT cord-283985-8mdnkegz 10 28 disease disease NN cord-283985-8mdnkegz 10 29 . . . cord-283985-8mdnkegz 11 1 Our -PRON- PRP$ cord-283985-8mdnkegz 11 2 model model NN cord-283985-8mdnkegz 11 3 also also RB cord-283985-8mdnkegz 11 4 employs employ VBZ cord-283985-8mdnkegz 11 5 non non JJ cord-283985-8mdnkegz 11 6 - - JJ cord-283985-8mdnkegz 11 7 constant constant JJ cord-283985-8mdnkegz 11 8 transmission transmission NN cord-283985-8mdnkegz 11 9 rates rate NNS cord-283985-8mdnkegz 11 10 which which WDT cord-283985-8mdnkegz 11 11 change change VBP cord-283985-8mdnkegz 11 12 with with IN cord-283985-8mdnkegz 11 13 the the DT cord-283985-8mdnkegz 11 14 epidemiological epidemiological JJ cord-283985-8mdnkegz 11 15 status status NN cord-283985-8mdnkegz 11 16 and and CC cord-283985-8mdnkegz 11 17 environmental environmental JJ cord-283985-8mdnkegz 11 18 conditions condition NNS cord-283985-8mdnkegz 11 19 and and CC cord-283985-8mdnkegz 11 20 which which WDT cord-283985-8mdnkegz 11 21 reflect reflect VBP cord-283985-8mdnkegz 11 22 the the DT cord-283985-8mdnkegz 11 23 impact impact NN cord-283985-8mdnkegz 11 24 of of IN cord-283985-8mdnkegz 11 25 the the DT cord-283985-8mdnkegz 11 26 on on RB cord-283985-8mdnkegz 11 27 - - HYPH cord-283985-8mdnkegz 11 28 going go VBG cord-283985-8mdnkegz 11 29 disease disease NN cord-283985-8mdnkegz 11 30 control control NN cord-283985-8mdnkegz 11 31 measures measure NNS cord-283985-8mdnkegz 11 32 . . . cord-283985-8mdnkegz 12 1 We -PRON- PRP cord-283985-8mdnkegz 12 2 conduct conduct VBP cord-283985-8mdnkegz 12 3 a a DT cord-283985-8mdnkegz 12 4 detailed detailed JJ cord-283985-8mdnkegz 12 5 analysis analysis NN cord-283985-8mdnkegz 12 6 of of IN cord-283985-8mdnkegz 12 7 this this DT cord-283985-8mdnkegz 12 8 model model NN cord-283985-8mdnkegz 12 9 , , , cord-283985-8mdnkegz 12 10 and and CC cord-283985-8mdnkegz 12 11 demonstrate demonstrate VB cord-283985-8mdnkegz 12 12 its -PRON- PRP$ cord-283985-8mdnkegz 12 13 application application NN cord-283985-8mdnkegz 12 14 using use VBG cord-283985-8mdnkegz 12 15 publicly publicly RB cord-283985-8mdnkegz 12 16 reported report VBN cord-283985-8mdnkegz 12 17 data datum NNS cord-283985-8mdnkegz 12 18 . . . cord-283985-8mdnkegz 13 1 Among among IN cord-283985-8mdnkegz 13 2 other other JJ cord-283985-8mdnkegz 13 3 findings finding NNS cord-283985-8mdnkegz 13 4 , , , cord-283985-8mdnkegz 13 5 our -PRON- PRP$ cord-283985-8mdnkegz 13 6 analytical analytical JJ cord-283985-8mdnkegz 13 7 and and CC cord-283985-8mdnkegz 13 8 numerical numerical JJ cord-283985-8mdnkegz 13 9 results result NNS cord-283985-8mdnkegz 13 10 indicate indicate VBP cord-283985-8mdnkegz 13 11 that that IN cord-283985-8mdnkegz 13 12 the the DT cord-283985-8mdnkegz 13 13 coronavirus coronavirus NN cord-283985-8mdnkegz 13 14 infection infection NN cord-283985-8mdnkegz 13 15 would would MD cord-283985-8mdnkegz 13 16 remain remain VB cord-283985-8mdnkegz 13 17 endemic endemic JJ cord-283985-8mdnkegz 13 18 , , , cord-283985-8mdnkegz 13 19 which which WDT cord-283985-8mdnkegz 13 20 necessitates necessitate VBZ cord-283985-8mdnkegz 13 21 long long JJ cord-283985-8mdnkegz 13 22 - - HYPH cord-283985-8mdnkegz 13 23 term term NN cord-283985-8mdnkegz 13 24 disease disease NN cord-283985-8mdnkegz 13 25 prevention prevention NN cord-283985-8mdnkegz 13 26 and and CC cord-283985-8mdnkegz 13 27 intervention intervention NN cord-283985-8mdnkegz 13 28 programs program NNS cord-283985-8mdnkegz 13 29 . . . cord-283985-8mdnkegz 14 1 A a DT cord-283985-8mdnkegz 14 2 severe severe JJ cord-283985-8mdnkegz 14 3 outbreak outbreak NN cord-283985-8mdnkegz 14 4 of of IN cord-283985-8mdnkegz 14 5 respiratory respiratory JJ cord-283985-8mdnkegz 14 6 illness illness NN cord-283985-8mdnkegz 14 7 started start VBD cord-283985-8mdnkegz 14 8 in in IN cord-283985-8mdnkegz 14 9 Wuhan Wuhan NNP cord-283985-8mdnkegz 14 10 , , , cord-283985-8mdnkegz 14 11 a a DT cord-283985-8mdnkegz 14 12 city city NN cord-283985-8mdnkegz 14 13 of of IN cord-283985-8mdnkegz 14 14 11 11 CD cord-283985-8mdnkegz 14 15 million million CD cord-283985-8mdnkegz 14 16 people people NNS cord-283985-8mdnkegz 14 17 in in IN cord-283985-8mdnkegz 14 18 central central JJ cord-283985-8mdnkegz 14 19 China China NNP cord-283985-8mdnkegz 14 20 , , , cord-283985-8mdnkegz 14 21 in in IN cord-283985-8mdnkegz 14 22 December December NNP cord-283985-8mdnkegz 14 23 2019 2019 CD cord-283985-8mdnkegz 14 24 . . . cord-283985-8mdnkegz 15 1 The the DT cord-283985-8mdnkegz 15 2 causative causative JJ cord-283985-8mdnkegz 15 3 agent agent NN cord-283985-8mdnkegz 15 4 is be VBZ cord-283985-8mdnkegz 15 5 the the DT cord-283985-8mdnkegz 15 6 novel novel JJ cord-283985-8mdnkegz 15 7 coronavirus coronavirus NN cord-283985-8mdnkegz 15 8 which which WDT cord-283985-8mdnkegz 15 9 was be VBD cord-283985-8mdnkegz 15 10 identified identify VBN cord-283985-8mdnkegz 15 11 and and CC cord-283985-8mdnkegz 15 12 isolated isolate VBN cord-283985-8mdnkegz 15 13 from from IN cord-283985-8mdnkegz 15 14 a a DT cord-283985-8mdnkegz 15 15 single single JJ cord-283985-8mdnkegz 15 16 patient patient NN cord-283985-8mdnkegz 15 17 in in IN cord-283985-8mdnkegz 15 18 early early JJ cord-283985-8mdnkegz 15 19 January January NNP cord-283985-8mdnkegz 15 20 and and CC cord-283985-8mdnkegz 15 21 subsequently subsequently RB cord-283985-8mdnkegz 15 22 verified verify VBD cord-283985-8mdnkegz 15 23 in in IN cord-283985-8mdnkegz 15 24 16 16 CD cord-283985-8mdnkegz 15 25 additional additional JJ cord-283985-8mdnkegz 15 26 patients patient NNS cord-283985-8mdnkegz 15 27 [ [ -LRB- cord-283985-8mdnkegz 15 28 1 1 CD cord-283985-8mdnkegz 15 29 ] ] -RRB- cord-283985-8mdnkegz 15 30 . . . cord-283985-8mdnkegz 16 1 The the DT cord-283985-8mdnkegz 16 2 virus virus NN cord-283985-8mdnkegz 16 3 is be VBZ cord-283985-8mdnkegz 16 4 believed believe VBN cord-283985-8mdnkegz 16 5 to to TO cord-283985-8mdnkegz 16 6 have have VB cord-283985-8mdnkegz 16 7 a a DT cord-283985-8mdnkegz 16 8 zoonotic zoonotic JJ cord-283985-8mdnkegz 16 9 origin origin NN cord-283985-8mdnkegz 16 10 . . . cord-283985-8mdnkegz 17 1 In in IN cord-283985-8mdnkegz 17 2 particular particular JJ cord-283985-8mdnkegz 17 3 , , , cord-283985-8mdnkegz 17 4 the the DT cord-283985-8mdnkegz 17 5 Huanan Huanan NNP cord-283985-8mdnkegz 17 6 Seafood Seafood NNP cord-283985-8mdnkegz 17 7 Market Market NNP cord-283985-8mdnkegz 17 8 , , , cord-283985-8mdnkegz 17 9 a a DT cord-283985-8mdnkegz 17 10 live live JJ cord-283985-8mdnkegz 17 11 animal animal NN cord-283985-8mdnkegz 17 12 and and CC cord-283985-8mdnkegz 17 13 seafood seafood NN cord-283985-8mdnkegz 17 14 wholesale wholesale JJ cord-283985-8mdnkegz 17 15 market market NN cord-283985-8mdnkegz 17 16 in in IN cord-283985-8mdnkegz 17 17 Wuhan Wuhan NNP cord-283985-8mdnkegz 17 18 , , , cord-283985-8mdnkegz 17 19 was be VBD cord-283985-8mdnkegz 17 20 regarded regard VBN cord-283985-8mdnkegz 17 21 as as IN cord-283985-8mdnkegz 17 22 a a DT cord-283985-8mdnkegz 17 23 primary primary JJ cord-283985-8mdnkegz 17 24 source source NN cord-283985-8mdnkegz 17 25 of of IN cord-283985-8mdnkegz 17 26 this this DT cord-283985-8mdnkegz 17 27 epidemic epidemic NN cord-283985-8mdnkegz 17 28 , , , cord-283985-8mdnkegz 17 29 as as IN cord-283985-8mdnkegz 17 30 it -PRON- PRP cord-283985-8mdnkegz 17 31 is be VBZ cord-283985-8mdnkegz 17 32 found find VBN cord-283985-8mdnkegz 17 33 that that IN cord-283985-8mdnkegz 17 34 55 55 CD cord-283985-8mdnkegz 17 35 % % NN cord-283985-8mdnkegz 17 36 of of IN cord-283985-8mdnkegz 17 37 the the DT cord-283985-8mdnkegz 17 38 first first JJ cord-283985-8mdnkegz 17 39 425 425 CD cord-283985-8mdnkegz 17 40 confirmed confirm VBN cord-283985-8mdnkegz 17 41 cases case NNS cord-283985-8mdnkegz 17 42 were be VBD cord-283985-8mdnkegz 17 43 linked link VBN cord-283985-8mdnkegz 17 44 to to IN cord-283985-8mdnkegz 17 45 the the DT cord-283985-8mdnkegz 17 46 marketplace marketplace NN cord-283985-8mdnkegz 17 47 [ [ -LRB- cord-283985-8mdnkegz 17 48 2 2 CD cord-283985-8mdnkegz 17 49 ] ] -RRB- cord-283985-8mdnkegz 17 50 . . . cord-283985-8mdnkegz 18 1 Meanwhile meanwhile RB cord-283985-8mdnkegz 18 2 , , , cord-283985-8mdnkegz 18 3 recent recent JJ cord-283985-8mdnkegz 18 4 comparisons comparison NNS cord-283985-8mdnkegz 18 5 of of IN cord-283985-8mdnkegz 18 6 the the DT cord-283985-8mdnkegz 18 7 genetic genetic JJ cord-283985-8mdnkegz 18 8 sequences sequence NNS cord-283985-8mdnkegz 18 9 of of IN cord-283985-8mdnkegz 18 10 this this DT cord-283985-8mdnkegz 18 11 virus virus NN cord-283985-8mdnkegz 18 12 and and CC cord-283985-8mdnkegz 18 13 bat bat NN cord-283985-8mdnkegz 18 14 coronaviruses coronaviruse NNS cord-283985-8mdnkegz 18 15 show show VBP cord-283985-8mdnkegz 18 16 a a DT cord-283985-8mdnkegz 18 17 96 96 CD cord-283985-8mdnkegz 18 18 % % NN cord-283985-8mdnkegz 18 19 similarity similarity NN cord-283985-8mdnkegz 18 20 [ [ -LRB- cord-283985-8mdnkegz 18 21 3 3 CD cord-283985-8mdnkegz 18 22 ] ] -RRB- cord-283985-8mdnkegz 18 23 . . . cord-283985-8mdnkegz 19 1 This this DT cord-283985-8mdnkegz 19 2 is be VBZ cord-283985-8mdnkegz 19 3 the the DT cord-283985-8mdnkegz 19 4 third third JJ cord-283985-8mdnkegz 19 5 zoonotic zoonotic JJ cord-283985-8mdnkegz 19 6 human human JJ cord-283985-8mdnkegz 19 7 coronavirus coronavirus NN cord-283985-8mdnkegz 19 8 emerging emerge VBG cord-283985-8mdnkegz 19 9 in in IN cord-283985-8mdnkegz 19 10 the the DT cord-283985-8mdnkegz 19 11 current current JJ cord-283985-8mdnkegz 19 12 century century NN cord-283985-8mdnkegz 19 13 , , , cord-283985-8mdnkegz 19 14 after after IN cord-283985-8mdnkegz 19 15 the the DT cord-283985-8mdnkegz 19 16 severe severe JJ cord-283985-8mdnkegz 19 17 acute acute JJ cord-283985-8mdnkegz 19 18 respiratory respiratory JJ cord-283985-8mdnkegz 19 19 syndrome syndrome NN cord-283985-8mdnkegz 19 20 coronavirus coronavirus NN cord-283985-8mdnkegz 19 21 ( ( -LRB- cord-283985-8mdnkegz 19 22 SARS SARS NNP cord-283985-8mdnkegz 19 23 - - HYPH cord-283985-8mdnkegz 19 24 CoV CoV NNP cord-283985-8mdnkegz 19 25 ) ) -RRB- cord-283985-8mdnkegz 19 26 in in IN cord-283985-8mdnkegz 19 27 2002 2002 CD cord-283985-8mdnkegz 19 28 that that WDT cord-283985-8mdnkegz 19 29 spread spread VBD cord-283985-8mdnkegz 19 30 to to IN cord-283985-8mdnkegz 19 31 37 37 CD cord-283985-8mdnkegz 19 32 countries country NNS cord-283985-8mdnkegz 19 33 and and CC cord-283985-8mdnkegz 19 34 the the DT cord-283985-8mdnkegz 19 35 Middle Middle NNP cord-283985-8mdnkegz 19 36 East East NNP cord-283985-8mdnkegz 19 37 respiratory respiratory JJ cord-283985-8mdnkegz 19 38 syndrome syndrome NN cord-283985-8mdnkegz 19 39 coronavirus coronavirus NN cord-283985-8mdnkegz 19 40 ( ( -LRB- cord-283985-8mdnkegz 19 41 MERS MERS NNP cord-283985-8mdnkegz 19 42 - - HYPH cord-283985-8mdnkegz 19 43 CoV CoV NNP cord-283985-8mdnkegz 19 44 ) ) -RRB- cord-283985-8mdnkegz 19 45 in in IN cord-283985-8mdnkegz 19 46 2012 2012 CD cord-283985-8mdnkegz 19 47 that that WDT cord-283985-8mdnkegz 19 48 spread spread VBD cord-283985-8mdnkegz 19 49 to to IN cord-283985-8mdnkegz 19 50 27 27 CD cord-283985-8mdnkegz 19 51 countries country NNS cord-283985-8mdnkegz 19 52 . . . cord-283985-8mdnkegz 20 1 Typical typical JJ cord-283985-8mdnkegz 20 2 symptoms symptom NNS cord-283985-8mdnkegz 20 3 of of IN cord-283985-8mdnkegz 20 4 COVID-19 covid-19 JJ cord-283985-8mdnkegz 20 5 infection infection NN cord-283985-8mdnkegz 20 6 include include VBP cord-283985-8mdnkegz 20 7 dry dry JJ cord-283985-8mdnkegz 20 8 cough cough NN cord-283985-8mdnkegz 20 9 , , , cord-283985-8mdnkegz 20 10 fever fever NN cord-283985-8mdnkegz 20 11 , , , cord-283985-8mdnkegz 20 12 fatigue fatigue NN cord-283985-8mdnkegz 20 13 , , , cord-283985-8mdnkegz 20 14 A a DT cord-283985-8mdnkegz 20 15 number number NN cord-283985-8mdnkegz 20 16 of of IN cord-283985-8mdnkegz 20 17 modeling model VBG cord-283985-8mdnkegz 20 18 studies study NNS cord-283985-8mdnkegz 20 19 have have VBP cord-283985-8mdnkegz 20 20 already already RB cord-283985-8mdnkegz 20 21 been be VBN cord-283985-8mdnkegz 20 22 performed perform VBN cord-283985-8mdnkegz 20 23 for for IN cord-283985-8mdnkegz 20 24 the the DT cord-283985-8mdnkegz 20 25 COVID-19 covid-19 JJ cord-283985-8mdnkegz 20 26 epidemic epidemic NN cord-283985-8mdnkegz 20 27 . . . cord-283985-8mdnkegz 21 1 Wu Wu NNP cord-283985-8mdnkegz 21 2 et et NNP cord-283985-8mdnkegz 21 3 al al NNP cord-283985-8mdnkegz 21 4 . . . cord-283985-8mdnkegz 22 1 [ [ -LRB- cord-283985-8mdnkegz 22 2 11 11 CD cord-283985-8mdnkegz 22 3 ] ] -RRB- cord-283985-8mdnkegz 22 4 introduced introduce VBD cord-283985-8mdnkegz 22 5 a a DT cord-283985-8mdnkegz 22 6 susceptible susceptible JJ cord-283985-8mdnkegz 22 7 - - HYPH cord-283985-8mdnkegz 22 8 exposed expose VBN cord-283985-8mdnkegz 22 9 - - HYPH cord-283985-8mdnkegz 22 10 infectious infectious RB cord-283985-8mdnkegz 22 11 - - HYPH cord-283985-8mdnkegz 22 12 recovered recovered JJ cord-283985-8mdnkegz 22 13 ( ( -LRB- cord-283985-8mdnkegz 22 14 SEIR SEIR NNP cord-283985-8mdnkegz 22 15 ) ) -RRB- cord-283985-8mdnkegz 22 16 model model NN cord-283985-8mdnkegz 22 17 to to TO cord-283985-8mdnkegz 22 18 describe describe VB cord-283985-8mdnkegz 22 19 the the DT cord-283985-8mdnkegz 22 20 transmission transmission NN cord-283985-8mdnkegz 22 21 dynamics dynamic NNS cord-283985-8mdnkegz 22 22 , , , cord-283985-8mdnkegz 22 23 and and CC cord-283985-8mdnkegz 22 24 forecasted forecast VBD cord-283985-8mdnkegz 22 25 the the DT cord-283985-8mdnkegz 22 26 national national JJ cord-283985-8mdnkegz 22 27 and and CC cord-283985-8mdnkegz 22 28 global global JJ cord-283985-8mdnkegz 22 29 spread spread NN cord-283985-8mdnkegz 22 30 of of IN cord-283985-8mdnkegz 22 31 the the DT cord-283985-8mdnkegz 22 32 disease disease NN cord-283985-8mdnkegz 22 33 , , , cord-283985-8mdnkegz 22 34 based base VBN cord-283985-8mdnkegz 22 35 on on IN cord-283985-8mdnkegz 22 36 reported report VBN cord-283985-8mdnkegz 22 37 data datum NNS cord-283985-8mdnkegz 22 38 from from IN cord-283985-8mdnkegz 22 39 December December NNP cord-283985-8mdnkegz 22 40 31 31 CD cord-283985-8mdnkegz 22 41 , , , cord-283985-8mdnkegz 22 42 2019 2019 CD cord-283985-8mdnkegz 22 43 to to IN cord-283985-8mdnkegz 22 44 January January NNP cord-283985-8mdnkegz 22 45 28 28 CD cord-283985-8mdnkegz 22 46 , , , cord-283985-8mdnkegz 22 47 2020 2020 CD cord-283985-8mdnkegz 22 48 . . . cord-283985-8mdnkegz 23 1 They -PRON- PRP cord-283985-8mdnkegz 23 2 also also RB cord-283985-8mdnkegz 23 3 estimated estimate VBD cord-283985-8mdnkegz 23 4 that that IN cord-283985-8mdnkegz 23 5 the the DT cord-283985-8mdnkegz 23 6 basic basic JJ cord-283985-8mdnkegz 23 7 reproductive reproductive JJ cord-283985-8mdnkegz 23 8 number number NN cord-283985-8mdnkegz 23 9 for for IN cord-283985-8mdnkegz 23 10 COVID-19 COVID-19 NNP cord-283985-8mdnkegz 23 11 was be VBD cord-283985-8mdnkegz 23 12 about about RB cord-283985-8mdnkegz 23 13 2.68 2.68 CD cord-283985-8mdnkegz 23 14 . . . cord-283985-8mdnkegz 24 1 Read read VB cord-283985-8mdnkegz 24 2 et et FW cord-283985-8mdnkegz 24 3 al al NNP cord-283985-8mdnkegz 24 4 . . . cord-283985-8mdnkegz 25 1 [ [ -LRB- cord-283985-8mdnkegz 25 2 12 12 CD cord-283985-8mdnkegz 25 3 ] ] -RRB- cord-283985-8mdnkegz 25 4 reported report VBD cord-283985-8mdnkegz 25 5 a a DT cord-283985-8mdnkegz 25 6 value value NN cord-283985-8mdnkegz 25 7 of of IN cord-283985-8mdnkegz 25 8 3.1 3.1 CD cord-283985-8mdnkegz 25 9 for for IN cord-283985-8mdnkegz 25 10 the the DT cord-283985-8mdnkegz 25 11 basic basic JJ cord-283985-8mdnkegz 25 12 reproductive reproductive JJ cord-283985-8mdnkegz 25 13 number number NN cord-283985-8mdnkegz 25 14 based base VBN cord-283985-8mdnkegz 25 15 on on IN cord-283985-8mdnkegz 25 16 data datum NNS cord-283985-8mdnkegz 25 17 fitting fitting NN cord-283985-8mdnkegz 25 18 of of IN cord-283985-8mdnkegz 25 19 a a DT cord-283985-8mdnkegz 25 20 SEIR SEIR NNP cord-283985-8mdnkegz 25 21 model model NN cord-283985-8mdnkegz 25 22 , , , cord-283985-8mdnkegz 25 23 using use VBG cord-283985-8mdnkegz 25 24 an an DT cord-283985-8mdnkegz 25 25 assumption assumption NN cord-283985-8mdnkegz 25 26 of of IN cord-283985-8mdnkegz 25 27 Poisson Poisson NNP cord-283985-8mdnkegz 25 28 - - HYPH cord-283985-8mdnkegz 25 29 distributed distribute VBN cord-283985-8mdnkegz 25 30 daily daily JJ cord-283985-8mdnkegz 25 31 time time NN cord-283985-8mdnkegz 25 32 increments increment NNS cord-283985-8mdnkegz 25 33 . . . cord-283985-8mdnkegz 26 1 Tang Tang NNP cord-283985-8mdnkegz 26 2 et et NNP cord-283985-8mdnkegz 26 3 al al NNP cord-283985-8mdnkegz 26 4 . . . cord-283985-8mdnkegz 27 1 [ [ -LRB- cord-283985-8mdnkegz 27 2 13 13 CD cord-283985-8mdnkegz 27 3 ] ] -RRB- cord-283985-8mdnkegz 27 4 proposed propose VBD cord-283985-8mdnkegz 27 5 a a DT cord-283985-8mdnkegz 27 6 deterministic deterministic JJ cord-283985-8mdnkegz 27 7 compartmental compartmental JJ cord-283985-8mdnkegz 27 8 model model NN cord-283985-8mdnkegz 27 9 incorporating incorporate VBG cord-283985-8mdnkegz 27 10 the the DT cord-283985-8mdnkegz 27 11 clinical clinical JJ cord-283985-8mdnkegz 27 12 progression progression NN cord-283985-8mdnkegz 27 13 of of IN cord-283985-8mdnkegz 27 14 the the DT cord-283985-8mdnkegz 27 15 disease disease NN cord-283985-8mdnkegz 27 16 , , , cord-283985-8mdnkegz 27 17 the the DT cord-283985-8mdnkegz 27 18 individual individual JJ cord-283985-8mdnkegz 27 19 epidemiological epidemiological JJ cord-283985-8mdnkegz 27 20 status status NN cord-283985-8mdnkegz 27 21 , , , cord-283985-8mdnkegz 27 22 and and CC cord-283985-8mdnkegz 27 23 the the DT cord-283985-8mdnkegz 27 24 intervention intervention NN cord-283985-8mdnkegz 27 25 measures measure NNS cord-283985-8mdnkegz 27 26 . . . cord-283985-8mdnkegz 28 1 They -PRON- PRP cord-283985-8mdnkegz 28 2 found find VBD cord-283985-8mdnkegz 28 3 that that IN cord-283985-8mdnkegz 28 4 the the DT cord-283985-8mdnkegz 28 5 control control NN cord-283985-8mdnkegz 28 6 reproductive reproductive JJ cord-283985-8mdnkegz 28 7 number number NN cord-283985-8mdnkegz 28 8 could could MD cord-283985-8mdnkegz 28 9 be be VB cord-283985-8mdnkegz 28 10 as as RB cord-283985-8mdnkegz 28 11 high high JJ cord-283985-8mdnkegz 28 12 as as IN cord-283985-8mdnkegz 28 13 6.47 6.47 CD cord-283985-8mdnkegz 28 14 , , , cord-283985-8mdnkegz 28 15 and and CC cord-283985-8mdnkegz 28 16 that that IN cord-283985-8mdnkegz 28 17 intervention intervention NN cord-283985-8mdnkegz 28 18 strategies strategy NNS cord-283985-8mdnkegz 28 19 such such JJ cord-283985-8mdnkegz 28 20 as as IN cord-283985-8mdnkegz 28 21 intensive intensive JJ cord-283985-8mdnkegz 28 22 contact contact NN cord-283985-8mdnkegz 28 23 tracing tracing NN cord-283985-8mdnkegz 28 24 followed follow VBN cord-283985-8mdnkegz 28 25 by by IN cord-283985-8mdnkegz 28 26 quarantine quarantine NN cord-283985-8mdnkegz 28 27 and and CC cord-283985-8mdnkegz 28 28 isolation isolation NN cord-283985-8mdnkegz 28 29 can can MD cord-283985-8mdnkegz 28 30 effectively effectively RB cord-283985-8mdnkegz 28 31 reduce reduce VB cord-283985-8mdnkegz 28 32 the the DT cord-283985-8mdnkegz 28 33 control control NN cord-283985-8mdnkegz 28 34 reproduction reproduction NN cord-283985-8mdnkegz 28 35 number number NN cord-283985-8mdnkegz 28 36 and and CC cord-283985-8mdnkegz 28 37 the the DT cord-283985-8mdnkegz 28 38 transmission transmission NN cord-283985-8mdnkegz 28 39 risk risk NN cord-283985-8mdnkegz 28 40 . . . cord-283985-8mdnkegz 29 1 Imai Imai NNP cord-283985-8mdnkegz 29 2 et et NNP cord-283985-8mdnkegz 29 3 al al NNP cord-283985-8mdnkegz 29 4 . . . cord-283985-8mdnkegz 30 1 [ [ -LRB- cord-283985-8mdnkegz 30 2 14 14 CD cord-283985-8mdnkegz 30 3 ] ] -RRB- cord-283985-8mdnkegz 30 4 conducted conduct VBN cord-283985-8mdnkegz 30 5 computational computational JJ cord-283985-8mdnkegz 30 6 modeling modeling NN cord-283985-8mdnkegz 30 7 of of IN cord-283985-8mdnkegz 30 8 potential potential JJ cord-283985-8mdnkegz 30 9 epidemic epidemic NN cord-283985-8mdnkegz 30 10 trajectories trajectory NNS cord-283985-8mdnkegz 30 11 to to TO cord-283985-8mdnkegz 30 12 estimate estimate VB cord-283985-8mdnkegz 30 13 the the DT cord-283985-8mdnkegz 30 14 size size NN cord-283985-8mdnkegz 30 15 of of IN cord-283985-8mdnkegz 30 16 the the DT cord-283985-8mdnkegz 30 17 disease disease NN cord-283985-8mdnkegz 30 18 outbreak outbreak NN cord-283985-8mdnkegz 30 19 in in IN cord-283985-8mdnkegz 30 20 Wuhan Wuhan NNP cord-283985-8mdnkegz 30 21 , , , cord-283985-8mdnkegz 30 22 with with IN cord-283985-8mdnkegz 30 23 a a DT cord-283985-8mdnkegz 30 24 focus focus NN cord-283985-8mdnkegz 30 25 on on IN cord-283985-8mdnkegz 30 26 the the DT cord-283985-8mdnkegz 30 27 human human NN cord-283985-8mdnkegz 30 28 - - HYPH cord-283985-8mdnkegz 30 29 to to IN cord-283985-8mdnkegz 30 30 - - HYPH cord-283985-8mdnkegz 30 31 human human JJ cord-283985-8mdnkegz 30 32 transmission transmission NN cord-283985-8mdnkegz 30 33 . . . cord-283985-8mdnkegz 31 1 Their -PRON- PRP$ cord-283985-8mdnkegz 31 2 results result NNS cord-283985-8mdnkegz 31 3 imply imply VBP cord-283985-8mdnkegz 31 4 that that IN cord-283985-8mdnkegz 31 5 control control NN cord-283985-8mdnkegz 31 6 measures measure NNS cord-283985-8mdnkegz 31 7 need need VBP cord-283985-8mdnkegz 31 8 to to TO cord-283985-8mdnkegz 31 9 block block VB cord-283985-8mdnkegz 31 10 well well RB cord-283985-8mdnkegz 31 11 over over IN cord-283985-8mdnkegz 31 12 60 60 CD cord-283985-8mdnkegz 31 13 % % NN cord-283985-8mdnkegz 31 14 of of IN cord-283985-8mdnkegz 31 15 transmission transmission NN cord-283985-8mdnkegz 31 16 to to TO cord-283985-8mdnkegz 31 17 be be VB cord-283985-8mdnkegz 31 18 effective effective JJ cord-283985-8mdnkegz 31 19 in in IN cord-283985-8mdnkegz 31 20 containing contain VBG cord-283985-8mdnkegz 31 21 the the DT cord-283985-8mdnkegz 31 22 outbreak outbreak NN cord-283985-8mdnkegz 31 23 . . . cord-283985-8mdnkegz 32 1 In in IN cord-283985-8mdnkegz 32 2 addition addition NN cord-283985-8mdnkegz 32 3 , , , cord-283985-8mdnkegz 32 4 Gao Gao NNP cord-283985-8mdnkegz 32 5 et et NNP cord-283985-8mdnkegz 32 6 al al NNP cord-283985-8mdnkegz 32 7 . . . cord-283985-8mdnkegz 33 1 [ [ -LRB- cord-283985-8mdnkegz 33 2 15 15 CD cord-283985-8mdnkegz 33 3 ] ] -RRB- cord-283985-8mdnkegz 33 4 developed develop VBD cord-283985-8mdnkegz 33 5 a a DT cord-283985-8mdnkegz 33 6 deep deep JJ cord-283985-8mdnkegz 33 7 learning learning NN cord-283985-8mdnkegz 33 8 algorithm algorithm NN cord-283985-8mdnkegz 33 9 to to TO cord-283985-8mdnkegz 33 10 analyze analyze VB cord-283985-8mdnkegz 33 11 the the DT cord-283985-8mdnkegz 33 12 infectivity infectivity NN cord-283985-8mdnkegz 33 13 of of IN cord-283985-8mdnkegz 33 14 the the DT cord-283985-8mdnkegz 33 15 novel novel JJ cord-283985-8mdnkegz 33 16 coronavirus coronavirus NN cord-283985-8mdnkegz 33 17 and and CC cord-283985-8mdnkegz 33 18 predict predict VB cord-283985-8mdnkegz 33 19 its -PRON- PRP$ cord-283985-8mdnkegz 33 20 potential potential JJ cord-283985-8mdnkegz 33 21 hosts host NNS cord-283985-8mdnkegz 33 22 . . . cord-283985-8mdnkegz 34 1 Their -PRON- PRP$ cord-283985-8mdnkegz 34 2 results result NNS cord-283985-8mdnkegz 34 3 indicate indicate VBP cord-283985-8mdnkegz 34 4 that that IN cord-283985-8mdnkegz 34 5 bats bat NNS cord-283985-8mdnkegz 34 6 and and CC cord-283985-8mdnkegz 34 7 minks mink NNS cord-283985-8mdnkegz 34 8 may may MD cord-283985-8mdnkegz 34 9 be be VB cord-283985-8mdnkegz 34 10 two two CD cord-283985-8mdnkegz 34 11 animal animal NN cord-283985-8mdnkegz 34 12 hosts host NNS cord-283985-8mdnkegz 34 13 of of IN cord-283985-8mdnkegz 34 14 this this DT cord-283985-8mdnkegz 34 15 virus virus NN cord-283985-8mdnkegz 34 16 . . . cord-283985-8mdnkegz 35 1 Most Most JJS cord-283985-8mdnkegz 35 2 of of IN cord-283985-8mdnkegz 35 3 these these DT cord-283985-8mdnkegz 35 4 models model NNS cord-283985-8mdnkegz 35 5 have have VBP cord-283985-8mdnkegz 35 6 emphasized emphasize VBN cord-283985-8mdnkegz 35 7 the the DT cord-283985-8mdnkegz 35 8 significant significant JJ cord-283985-8mdnkegz 35 9 role role NN cord-283985-8mdnkegz 35 10 of of IN cord-283985-8mdnkegz 35 11 the the DT cord-283985-8mdnkegz 35 12 direct direct JJ cord-283985-8mdnkegz 35 13 , , , cord-283985-8mdnkegz 35 14 human human JJ cord-283985-8mdnkegz 35 15 - - HYPH cord-283985-8mdnkegz 35 16 to to IN cord-283985-8mdnkegz 35 17 - - HYPH cord-283985-8mdnkegz 35 18 human human JJ cord-283985-8mdnkegz 35 19 transmission transmission NN cord-283985-8mdnkegz 35 20 pathway pathway NN cord-283985-8mdnkegz 35 21 in in IN cord-283985-8mdnkegz 35 22 this this DT cord-283985-8mdnkegz 35 23 epidemic epidemic NN cord-283985-8mdnkegz 35 24 [ [ -LRB- cord-283985-8mdnkegz 35 25 16 16 CD cord-283985-8mdnkegz 35 26 ] ] -RRB- cord-283985-8mdnkegz 35 27 , , , cord-283985-8mdnkegz 35 28 as as IN cord-283985-8mdnkegz 35 29 highlighted highlight VBN cord-283985-8mdnkegz 35 30 by by IN cord-283985-8mdnkegz 35 31 the the DT cord-283985-8mdnkegz 35 32 facts fact NNS cord-283985-8mdnkegz 35 33 that that WDT cord-283985-8mdnkegz 35 34 the the DT cord-283985-8mdnkegz 35 35 majority majority NN cord-283985-8mdnkegz 35 36 of of IN cord-283985-8mdnkegz 35 37 the the DT cord-283985-8mdnkegz 35 38 infected infect VBN cord-283985-8mdnkegz 35 39 individuals individual NNS cord-283985-8mdnkegz 35 40 did do VBD cord-283985-8mdnkegz 35 41 not not RB cord-283985-8mdnkegz 35 42 have have VB cord-283985-8mdnkegz 35 43 any any DT cord-283985-8mdnkegz 35 44 contact contact NN cord-283985-8mdnkegz 35 45 with with IN cord-283985-8mdnkegz 35 46 the the DT cord-283985-8mdnkegz 35 47 marketplaces marketplace NNS cord-283985-8mdnkegz 35 48 in in IN cord-283985-8mdnkegz 35 49 Wuhan Wuhan NNP cord-283985-8mdnkegz 35 50 , , , cord-283985-8mdnkegz 35 51 that that IN cord-283985-8mdnkegz 35 52 the the DT cord-283985-8mdnkegz 35 53 number number NN cord-283985-8mdnkegz 35 54 of of IN cord-283985-8mdnkegz 35 55 infections infection NNS cord-283985-8mdnkegz 35 56 has have VBZ cord-283985-8mdnkegz 35 57 been be VBN cord-283985-8mdnkegz 35 58 rapidly rapidly RB cord-283985-8mdnkegz 35 59 increasing increase VBG cord-283985-8mdnkegz 35 60 , , , cord-283985-8mdnkegz 35 61 and and CC cord-283985-8mdnkegz 35 62 that that IN cord-283985-8mdnkegz 35 63 the the DT cord-283985-8mdnkegz 35 64 disease disease NN cord-283985-8mdnkegz 35 65 has have VBZ cord-283985-8mdnkegz 35 66 spread spread VBN cord-283985-8mdnkegz 35 67 to to IN cord-283985-8mdnkegz 35 68 all all DT cord-283985-8mdnkegz 35 69 provinces province NNS cord-283985-8mdnkegz 35 70 in in IN cord-283985-8mdnkegz 35 71 China China NNP cord-283985-8mdnkegz 35 72 as as RB cord-283985-8mdnkegz 35 73 well well RB cord-283985-8mdnkegz 35 74 as as IN cord-283985-8mdnkegz 35 75 more more JJR cord-283985-8mdnkegz 35 76 than than IN cord-283985-8mdnkegz 35 77 20 20 CD cord-283985-8mdnkegz 35 78 other other JJ cord-283985-8mdnkegz 35 79 countries country NNS cord-283985-8mdnkegz 35 80 . . . cord-283985-8mdnkegz 36 1 In in IN cord-283985-8mdnkegz 36 2 particular particular JJ cord-283985-8mdnkegz 36 3 , , , cord-283985-8mdnkegz 36 4 a a DT cord-283985-8mdnkegz 36 5 large large JJ cord-283985-8mdnkegz 36 6 number number NN cord-283985-8mdnkegz 36 7 of of IN cord-283985-8mdnkegz 36 8 infected infected JJ cord-283985-8mdnkegz 36 9 individuals individual NNS cord-283985-8mdnkegz 36 10 exhibit exhibit VBP cord-283985-8mdnkegz 36 11 a a DT cord-283985-8mdnkegz 36 12 relatively relatively RB cord-283985-8mdnkegz 36 13 long long JJ cord-283985-8mdnkegz 36 14 incubation incubation NN cord-283985-8mdnkegz 36 15 period period NN cord-283985-8mdnkegz 36 16 so so IN cord-283985-8mdnkegz 36 17 that that IN cord-283985-8mdnkegz 36 18 they -PRON- PRP cord-283985-8mdnkegz 36 19 do do VBP cord-283985-8mdnkegz 36 20 not not RB cord-283985-8mdnkegz 36 21 show show VB cord-283985-8mdnkegz 36 22 any any DT cord-283985-8mdnkegz 36 23 symptoms symptom NNS cord-283985-8mdnkegz 36 24 and and CC cord-283985-8mdnkegz 36 25 are be VBP cord-283985-8mdnkegz 36 26 unaware unaware JJ cord-283985-8mdnkegz 36 27 of of IN cord-283985-8mdnkegz 36 28 their -PRON- PRP$ cord-283985-8mdnkegz 36 29 infection infection NN cord-283985-8mdnkegz 36 30 for for IN cord-283985-8mdnkegz 36 31 as as RB cord-283985-8mdnkegz 36 32 long long JJ cord-283985-8mdnkegz 36 33 as as IN cord-283985-8mdnkegz 36 34 10 10 CD cord-283985-8mdnkegz 36 35 - - SYM cord-283985-8mdnkegz 36 36 14 14 CD cord-283985-8mdnkegz 36 37 days day NNS cord-283985-8mdnkegz 36 38 , , , cord-283985-8mdnkegz 36 39 during during IN cord-283985-8mdnkegz 36 40 which which WDT cord-283985-8mdnkegz 36 41 time time NN cord-283985-8mdnkegz 36 42 they -PRON- PRP cord-283985-8mdnkegz 36 43 can can MD cord-283985-8mdnkegz 36 44 easily easily RB cord-283985-8mdnkegz 36 45 transmit transmit VB cord-283985-8mdnkegz 36 46 the the DT cord-283985-8mdnkegz 36 47 disease disease NN cord-283985-8mdnkegz 36 48 to to IN cord-283985-8mdnkegz 36 49 other other JJ cord-283985-8mdnkegz 36 50 people people NNS cord-283985-8mdnkegz 36 51 through through IN cord-283985-8mdnkegz 36 52 direct direct JJ cord-283985-8mdnkegz 36 53 contact contact NN cord-283985-8mdnkegz 36 54 . . . cord-283985-8mdnkegz 37 1 On on IN cord-283985-8mdnkegz 37 2 the the DT cord-283985-8mdnkegz 37 3 other other JJ cord-283985-8mdnkegz 37 4 hand hand NN cord-283985-8mdnkegz 37 5 , , , cord-283985-8mdnkegz 37 6 the the DT cord-283985-8mdnkegz 37 7 models model NNS cord-283985-8mdnkegz 37 8 published publish VBN cord-283985-8mdnkegz 37 9 thus thus RB cord-283985-8mdnkegz 37 10 far far RB cord-283985-8mdnkegz 37 11 have have VBP cord-283985-8mdnkegz 37 12 not not RB cord-283985-8mdnkegz 37 13 taken take VBN cord-283985-8mdnkegz 37 14 into into IN cord-283985-8mdnkegz 37 15 account account NN cord-283985-8mdnkegz 37 16 the the DT cord-283985-8mdnkegz 37 17 role role NN cord-283985-8mdnkegz 37 18 of of IN cord-283985-8mdnkegz 37 19 the the DT cord-283985-8mdnkegz 37 20 environment environment NN cord-283985-8mdnkegz 37 21 in in IN cord-283985-8mdnkegz 37 22 the the DT cord-283985-8mdnkegz 37 23 transmission transmission NN cord-283985-8mdnkegz 37 24 of of IN cord-283985-8mdnkegz 37 25 COVID-19 COVID-19 NNP cord-283985-8mdnkegz 37 26 . . . cord-283985-8mdnkegz 38 1 For for IN cord-283985-8mdnkegz 38 2 example example NN cord-283985-8mdnkegz 38 3 , , , cord-283985-8mdnkegz 38 4 it -PRON- PRP cord-283985-8mdnkegz 38 5 is be VBZ cord-283985-8mdnkegz 38 6 reported report VBN cord-283985-8mdnkegz 38 7 that that IN cord-283985-8mdnkegz 38 8 environmental environmental JJ cord-283985-8mdnkegz 38 9 samples sample NNS cord-283985-8mdnkegz 38 10 taken take VBN cord-283985-8mdnkegz 38 11 from from IN cord-283985-8mdnkegz 38 12 the the DT cord-283985-8mdnkegz 38 13 areas area NNS cord-283985-8mdnkegz 38 14 of of IN cord-283985-8mdnkegz 38 15 the the DT cord-283985-8mdnkegz 38 16 Huanan Huanan NNP cord-283985-8mdnkegz 38 17 Seafood Seafood NNP cord-283985-8mdnkegz 38 18 Market Market NNP cord-283985-8mdnkegz 38 19 have have VBP cord-283985-8mdnkegz 38 20 come come VBN cord-283985-8mdnkegz 38 21 back back RB cord-283985-8mdnkegz 38 22 positive positive JJ cord-283985-8mdnkegz 38 23 for for IN cord-283985-8mdnkegz 38 24 the the DT cord-283985-8mdnkegz 38 25 novel novel JJ cord-283985-8mdnkegz 38 26 coronavirus coronavirus NN cord-283985-8mdnkegz 38 27 [ [ -LRB- cord-283985-8mdnkegz 38 28 4 4 CD cord-283985-8mdnkegz 38 29 ] ] -RRB- cord-283985-8mdnkegz 38 30 , , , cord-283985-8mdnkegz 38 31 suggesting suggest VBG cord-283985-8mdnkegz 38 32 that that IN cord-283985-8mdnkegz 38 33 the the DT cord-283985-8mdnkegz 38 34 pathogen pathogen NN cord-283985-8mdnkegz 38 35 may may MD cord-283985-8mdnkegz 38 36 be be VB cord-283985-8mdnkegz 38 37 transmitted transmit VBN cord-283985-8mdnkegz 38 38 through through IN cord-283985-8mdnkegz 38 39 the the DT cord-283985-8mdnkegz 38 40 environmental environmental JJ cord-283985-8mdnkegz 38 41 reservoir reservoir NN cord-283985-8mdnkegz 38 42 . . . cord-283985-8mdnkegz 39 1 When when WRB cord-283985-8mdnkegz 39 2 infected infect VBN cord-283985-8mdnkegz 39 3 individuals individual NNS cord-283985-8mdnkegz 39 4 cough cough VBP cord-283985-8mdnkegz 39 5 or or CC cord-283985-8mdnkegz 39 6 sneeze sneeze VBP cord-283985-8mdnkegz 39 7 , , , cord-283985-8mdnkegz 39 8 they -PRON- PRP cord-283985-8mdnkegz 39 9 may may MD cord-283985-8mdnkegz 39 10 spread spread VB cord-283985-8mdnkegz 39 11 the the DT cord-283985-8mdnkegz 39 12 virus virus NN cord-283985-8mdnkegz 39 13 to to IN cord-283985-8mdnkegz 39 14 the the DT cord-283985-8mdnkegz 39 15 environment environment NN cord-283985-8mdnkegz 39 16 through through IN cord-283985-8mdnkegz 39 17 their -PRON- PRP$ cord-283985-8mdnkegz 39 18 respiratory respiratory JJ cord-283985-8mdnkegz 39 19 droplets droplet NNS cord-283985-8mdnkegz 39 20 which which WDT cord-283985-8mdnkegz 39 21 then then RB cord-283985-8mdnkegz 39 22 may may MD cord-283985-8mdnkegz 39 23 go go VB cord-283985-8mdnkegz 39 24 on on RP cord-283985-8mdnkegz 39 25 to to TO cord-283985-8mdnkegz 39 26 infect infect VB cord-283985-8mdnkegz 39 27 other other JJ cord-283985-8mdnkegz 39 28 people people NNS cord-283985-8mdnkegz 39 29 with with IN cord-283985-8mdnkegz 39 30 close close JJ cord-283985-8mdnkegz 39 31 contact contact NN cord-283985-8mdnkegz 39 32 of of IN cord-283985-8mdnkegz 39 33 the the DT cord-283985-8mdnkegz 39 34 same same JJ cord-283985-8mdnkegz 39 35 area area NN cord-283985-8mdnkegz 39 36 . . . cord-283985-8mdnkegz 40 1 Such such JJ cord-283985-8mdnkegz 40 2 transmission transmission NN cord-283985-8mdnkegz 40 3 would would MD cord-283985-8mdnkegz 40 4 especially especially RB cord-283985-8mdnkegz 40 5 be be VB cord-283985-8mdnkegz 40 6 facilitated facilitate VBN cord-283985-8mdnkegz 40 7 during during IN cord-283985-8mdnkegz 40 8 the the DT cord-283985-8mdnkegz 40 9 early early JJ cord-283985-8mdnkegz 40 10 period period NN cord-283985-8mdnkegz 40 11 of of IN cord-283985-8mdnkegz 40 12 the the DT cord-283985-8mdnkegz 40 13 disease disease NN cord-283985-8mdnkegz 40 14 outbreak outbreak NN cord-283985-8mdnkegz 40 15 when when WRB cord-283985-8mdnkegz 40 16 the the DT cord-283985-8mdnkegz 40 17 general general JJ cord-283985-8mdnkegz 40 18 public public NN cord-283985-8mdnkegz 40 19 was be VBD cord-283985-8mdnkegz 40 20 not not RB cord-283985-8mdnkegz 40 21 aware aware JJ cord-283985-8mdnkegz 40 22 of of IN cord-283985-8mdnkegz 40 23 the the DT cord-283985-8mdnkegz 40 24 infection infection NN cord-283985-8mdnkegz 40 25 risk risk NN cord-283985-8mdnkegz 40 26 , , , cord-283985-8mdnkegz 40 27 infected infected JJ cord-283985-8mdnkegz 40 28 individuals individual NNS cord-283985-8mdnkegz 40 29 were be VBD cord-283985-8mdnkegz 40 30 not not RB cord-283985-8mdnkegz 40 31 isolated isolate VBN cord-283985-8mdnkegz 40 32 , , , cord-283985-8mdnkegz 40 33 and and CC cord-283985-8mdnkegz 40 34 most most JJS cord-283985-8mdnkegz 40 35 people people NNS cord-283985-8mdnkegz 40 36 did do VBD cord-283985-8mdnkegz 40 37 not not RB cord-283985-8mdnkegz 40 38 wear wear VB cord-283985-8mdnkegz 40 39 face face NN cord-283985-8mdnkegz 40 40 masks mask NNS cord-283985-8mdnkegz 40 41 . . . cord-283985-8mdnkegz 41 1 Even even RB cord-283985-8mdnkegz 41 2 worse worse RBR cord-283985-8mdnkegz 41 3 , , , cord-283985-8mdnkegz 41 4 there there EX cord-283985-8mdnkegz 41 5 is be VBZ cord-283985-8mdnkegz 41 6 a a DT cord-283985-8mdnkegz 41 7 possibility possibility NN cord-283985-8mdnkegz 41 8 that that IN cord-283985-8mdnkegz 41 9 the the DT cord-283985-8mdnkegz 41 10 virus virus NN cord-283985-8mdnkegz 41 11 may may MD cord-283985-8mdnkegz 41 12 survive survive VB cord-283985-8mdnkegz 41 13 in in IN cord-283985-8mdnkegz 41 14 the the DT cord-283985-8mdnkegz 41 15 environment environment NN cord-283985-8mdnkegz 41 16 for for IN cord-283985-8mdnkegz 41 17 several several JJ cord-283985-8mdnkegz 41 18 days day NNS cord-283985-8mdnkegz 41 19 , , , cord-283985-8mdnkegz 41 20 increasing increase VBG cord-283985-8mdnkegz 41 21 the the DT cord-283985-8mdnkegz 41 22 risk risk NN cord-283985-8mdnkegz 41 23 of of IN cord-283985-8mdnkegz 41 24 contamination contamination NN cord-283985-8mdnkegz 41 25 via via IN cord-283985-8mdnkegz 41 26 surfaces surface NNS cord-283985-8mdnkegz 41 27 and and CC cord-283985-8mdnkegz 41 28 fomites fomite NNS cord-283985-8mdnkegz 41 29 [ [ -LRB- cord-283985-8mdnkegz 41 30 17 17 CD cord-283985-8mdnkegz 41 31 , , , cord-283985-8mdnkegz 41 32 18 18 CD cord-283985-8mdnkegz 41 33 ] ] -RRB- cord-283985-8mdnkegz 41 34 . . . cord-283985-8mdnkegz 42 1 Such such JJ cord-283985-8mdnkegz 42 2 environmental environmental JJ cord-283985-8mdnkegz 42 3 survival survival NN cord-283985-8mdnkegz 42 4 was be VBD cord-283985-8mdnkegz 42 5 confirmed confirm VBN cord-283985-8mdnkegz 42 6 for for IN cord-283985-8mdnkegz 42 7 SARS SARS NNP cord-283985-8mdnkegz 42 8 - - HYPH cord-283985-8mdnkegz 42 9 CoV CoV NNP cord-283985-8mdnkegz 42 10 [ [ -LRB- cord-283985-8mdnkegz 42 11 19 19 CD cord-283985-8mdnkegz 42 12 ] ] -RRB- cord-283985-8mdnkegz 42 13 . . . cord-283985-8mdnkegz 43 1 A a DT cord-283985-8mdnkegz 43 2 most most RBS cord-283985-8mdnkegz 43 3 recent recent JJ cord-283985-8mdnkegz 43 4 study study NN cord-283985-8mdnkegz 43 5 , , , cord-283985-8mdnkegz 43 6 based base VBN cord-283985-8mdnkegz 43 7 on on IN cord-283985-8mdnkegz 43 8 the the DT cord-283985-8mdnkegz 43 9 review review NN cord-283985-8mdnkegz 43 10 of of IN cord-283985-8mdnkegz 43 11 22 22 CD cord-283985-8mdnkegz 43 12 types type NNS cord-283985-8mdnkegz 43 13 of of IN cord-283985-8mdnkegz 43 14 coronaviruses coronaviruse NNS cord-283985-8mdnkegz 43 15 , , , cord-283985-8mdnkegz 43 16 reveals reveal VBZ cord-283985-8mdnkegz 43 17 that that IN cord-283985-8mdnkegz 43 18 coronaviruses coronaviruse NNS cord-283985-8mdnkegz 43 19 such such JJ cord-283985-8mdnkegz 43 20 as as IN cord-283985-8mdnkegz 43 21 SARS SARS NNP cord-283985-8mdnkegz 43 22 - - HYPH cord-283985-8mdnkegz 43 23 CoV CoV NNP cord-283985-8mdnkegz 43 24 , , , cord-283985-8mdnkegz 43 25 MERS MERS NNP cord-283985-8mdnkegz 43 26 - - HYPH cord-283985-8mdnkegz 43 27 CoV CoV NNP cord-283985-8mdnkegz 43 28 and and CC cord-283985-8mdnkegz 43 29 endemic endemic JJ cord-283985-8mdnkegz 43 30 human human JJ cord-283985-8mdnkegz 43 31 coronaviruses coronaviruse NNS cord-283985-8mdnkegz 43 32 can can MD cord-283985-8mdnkegz 43 33 persist persist VB cord-283985-8mdnkegz 43 34 on on IN cord-283985-8mdnkegz 43 35 inanimate inanimate JJ cord-283985-8mdnkegz 43 36 surfaces surface NNS cord-283985-8mdnkegz 43 37 like like IN cord-283985-8mdnkegz 43 38 metal metal NN cord-283985-8mdnkegz 43 39 , , , cord-283985-8mdnkegz 43 40 glass glass NN cord-283985-8mdnkegz 43 41 or or CC cord-283985-8mdnkegz 43 42 plastic plastic NN cord-283985-8mdnkegz 43 43 for for IN cord-283985-8mdnkegz 43 44 up up IN cord-283985-8mdnkegz 43 45 to to TO cord-283985-8mdnkegz 43 46 9 9 CD cord-283985-8mdnkegz 43 47 days day NNS cord-283985-8mdnkegz 43 48 [ [ -LRB- cord-283985-8mdnkegz 43 49 20 20 CD cord-283985-8mdnkegz 43 50 ] ] -RRB- cord-283985-8mdnkegz 43 51 , , , cord-283985-8mdnkegz 43 52 providing provide VBG cord-283985-8mdnkegz 43 53 strong strong JJ cord-283985-8mdnkegz 43 54 evidences evidence NNS cord-283985-8mdnkegz 43 55 for for IN cord-283985-8mdnkegz 43 56 the the DT cord-283985-8mdnkegz 43 57 pathogen pathogen NN cord-283985-8mdnkegz 43 58 's 's POS cord-283985-8mdnkegz 43 59 environmental environmental JJ cord-283985-8mdnkegz 43 60 survival survival NN cord-283985-8mdnkegz 43 61 . . . cord-283985-8mdnkegz 44 1 Additionally additionally RB cord-283985-8mdnkegz 44 2 , , , cord-283985-8mdnkegz 44 3 the the DT cord-283985-8mdnkegz 44 4 novel novel JJ cord-283985-8mdnkegz 44 5 coronavirus coronavirus NN cord-283985-8mdnkegz 44 6 has have VBZ cord-283985-8mdnkegz 44 7 been be VBN cord-283985-8mdnkegz 44 8 found find VBN cord-283985-8mdnkegz 44 9 in in IN cord-283985-8mdnkegz 44 10 the the DT cord-283985-8mdnkegz 44 11 stool stool NN cord-283985-8mdnkegz 44 12 of of IN cord-283985-8mdnkegz 44 13 some some DT cord-283985-8mdnkegz 44 14 infected infected JJ cord-283985-8mdnkegz 44 15 individuals individual NNS cord-283985-8mdnkegz 44 16 [ [ -LRB- cord-283985-8mdnkegz 44 17 5 5 CD cord-283985-8mdnkegz 44 18 ] ] -RRB- cord-283985-8mdnkegz 44 19 , , , cord-283985-8mdnkegz 44 20 which which WDT cord-283985-8mdnkegz 44 21 may may MD cord-283985-8mdnkegz 44 22 contaminate contaminate VB cord-283985-8mdnkegz 44 23 the the DT cord-283985-8mdnkegz 44 24 aquatic aquatic JJ cord-283985-8mdnkegz 44 25 environment environment NN cord-283985-8mdnkegz 44 26 , , , cord-283985-8mdnkegz 44 27 and and CC cord-283985-8mdnkegz 44 28 fecal fecal JJ cord-283985-8mdnkegz 44 29 - - HYPH cord-283985-8mdnkegz 44 30 oral oral JJ cord-283985-8mdnkegz 44 31 contact contact NN cord-283985-8mdnkegz 44 32 remains remain VBZ cord-283985-8mdnkegz 44 33 a a DT cord-283985-8mdnkegz 44 34 possible possible JJ cord-283985-8mdnkegz 44 35 route route NN cord-283985-8mdnkegz 44 36 of of IN cord-283985-8mdnkegz 44 37 transmission transmission NN cord-283985-8mdnkegz 44 38 for for IN cord-283985-8mdnkegz 44 39 this this DT cord-283985-8mdnkegz 44 40 disease disease NN cord-283985-8mdnkegz 44 41 . . . cord-283985-8mdnkegz 45 1 In in IN cord-283985-8mdnkegz 45 2 the the DT cord-283985-8mdnkegz 45 3 present present JJ cord-283985-8mdnkegz 45 4 paper paper NN cord-283985-8mdnkegz 45 5 , , , cord-283985-8mdnkegz 45 6 we -PRON- PRP cord-283985-8mdnkegz 45 7 present present VBP cord-283985-8mdnkegz 45 8 a a DT cord-283985-8mdnkegz 45 9 new new JJ cord-283985-8mdnkegz 45 10 mathematical mathematical JJ cord-283985-8mdnkegz 45 11 model model NN cord-283985-8mdnkegz 45 12 for for IN cord-283985-8mdnkegz 45 13 COVID-19 COVID-19 NNP cord-283985-8mdnkegz 45 14 that that WDT cord-283985-8mdnkegz 45 15 incorporates incorporate VBZ cord-283985-8mdnkegz 45 16 multiple multiple JJ cord-283985-8mdnkegz 45 17 transmission transmission NN cord-283985-8mdnkegz 45 18 pathways pathway NNS cord-283985-8mdnkegz 45 19 , , , cord-283985-8mdnkegz 45 20 including include VBG cord-283985-8mdnkegz 45 21 both both CC cord-283985-8mdnkegz 45 22 the the DT cord-283985-8mdnkegz 45 23 environment environment NN cord-283985-8mdnkegz 45 24 - - HYPH cord-283985-8mdnkegz 45 25 to to IN cord-283985-8mdnkegz 45 26 - - HYPH cord-283985-8mdnkegz 45 27 human human JJ cord-283985-8mdnkegz 45 28 and and CC cord-283985-8mdnkegz 45 29 human human JJ cord-283985-8mdnkegz 45 30 - - HYPH cord-283985-8mdnkegz 45 31 tohuman tohuman NN cord-283985-8mdnkegz 45 32 routes route NNS cord-283985-8mdnkegz 45 33 . . . cord-283985-8mdnkegz 46 1 In in IN cord-283985-8mdnkegz 46 2 particular particular JJ cord-283985-8mdnkegz 46 3 , , , cord-283985-8mdnkegz 46 4 we -PRON- PRP cord-283985-8mdnkegz 46 5 introduce introduce VBP cord-283985-8mdnkegz 46 6 an an DT cord-283985-8mdnkegz 46 7 environmental environmental JJ cord-283985-8mdnkegz 46 8 compartment compartment NN cord-283985-8mdnkegz 46 9 that that WDT cord-283985-8mdnkegz 46 10 represents represent VBZ cord-283985-8mdnkegz 46 11 the the DT cord-283985-8mdnkegz 46 12 pathogen pathogen NN cord-283985-8mdnkegz 46 13 concentration concentration NN cord-283985-8mdnkegz 46 14 in in IN cord-283985-8mdnkegz 46 15 the the DT cord-283985-8mdnkegz 46 16 environmental environmental JJ cord-283985-8mdnkegz 46 17 reservoir reservoir NN cord-283985-8mdnkegz 46 18 . . . cord-283985-8mdnkegz 47 1 A a DT cord-283985-8mdnkegz 47 2 susceptible susceptible JJ cord-283985-8mdnkegz 47 3 individual individual NN cord-283985-8mdnkegz 47 4 may may MD cord-283985-8mdnkegz 47 5 contract contract VB cord-283985-8mdnkegz 47 6 the the DT cord-283985-8mdnkegz 47 7 disease disease NN cord-283985-8mdnkegz 47 8 through through IN cord-283985-8mdnkegz 47 9 the the DT cord-283985-8mdnkegz 47 10 interaction interaction NN cord-283985-8mdnkegz 47 11 with with IN cord-283985-8mdnkegz 47 12 the the DT cord-283985-8mdnkegz 47 13 contaminated contaminate VBN cord-283985-8mdnkegz 47 14 environment environment NN cord-283985-8mdnkegz 47 15 , , , cord-283985-8mdnkegz 47 16 with with IN cord-283985-8mdnkegz 47 17 an an DT cord-283985-8mdnkegz 47 18 infectious infectious JJ cord-283985-8mdnkegz 47 19 but but CC cord-283985-8mdnkegz 47 20 asymptomatic asymptomatic JJ cord-283985-8mdnkegz 47 21 individual individual NN cord-283985-8mdnkegz 47 22 , , , cord-283985-8mdnkegz 47 23 or or CC cord-283985-8mdnkegz 47 24 with with IN cord-283985-8mdnkegz 47 25 an an DT cord-283985-8mdnkegz 47 26 infectious infectious JJ cord-283985-8mdnkegz 47 27 and and CC cord-283985-8mdnkegz 47 28 symptomatic symptomatic JJ cord-283985-8mdnkegz 47 29 individual individual NN cord-283985-8mdnkegz 47 30 . . . cord-283985-8mdnkegz 48 1 Meanwhile meanwhile RB cord-283985-8mdnkegz 48 2 , , , cord-283985-8mdnkegz 48 3 the the DT cord-283985-8mdnkegz 48 4 transmission transmission NN cord-283985-8mdnkegz 48 5 rates rate NNS cord-283985-8mdnkegz 48 6 in in IN cord-283985-8mdnkegz 48 7 our -PRON- PRP$ cord-283985-8mdnkegz 48 8 model model NN cord-283985-8mdnkegz 48 9 depend depend VB cord-283985-8mdnkegz 48 10 on on IN cord-283985-8mdnkegz 48 11 the the DT cord-283985-8mdnkegz 48 12 epidemiological epidemiological JJ cord-283985-8mdnkegz 48 13 status status NN cord-283985-8mdnkegz 48 14 and and CC cord-283985-8mdnkegz 48 15 environmental environmental JJ cord-283985-8mdnkegz 48 16 conditions condition NNS cord-283985-8mdnkegz 48 17 which which WDT cord-283985-8mdnkegz 48 18 change change VBP cord-283985-8mdnkegz 48 19 with with IN cord-283985-8mdnkegz 48 20 time time NN cord-283985-8mdnkegz 48 21 . . . cord-283985-8mdnkegz 49 1 In in IN cord-283985-8mdnkegz 49 2 particular particular JJ cord-283985-8mdnkegz 49 3 , , , cord-283985-8mdnkegz 49 4 when when WRB cord-283985-8mdnkegz 49 5 the the DT cord-283985-8mdnkegz 49 6 infection infection NN cord-283985-8mdnkegz 49 7 level level NN cord-283985-8mdnkegz 49 8 is be VBZ cord-283985-8mdnkegz 49 9 high high JJ cord-283985-8mdnkegz 49 10 , , , cord-283985-8mdnkegz 49 11 people people NNS cord-283985-8mdnkegz 49 12 would would MD cord-283985-8mdnkegz 49 13 be be VB cord-283985-8mdnkegz 49 14 motivated motivate VBN cord-283985-8mdnkegz 49 15 to to TO cord-283985-8mdnkegz 49 16 take take VB cord-283985-8mdnkegz 49 17 necessary necessary JJ cord-283985-8mdnkegz 49 18 action action NN cord-283985-8mdnkegz 49 19 to to TO cord-283985-8mdnkegz 49 20 reduce reduce VB cord-283985-8mdnkegz 49 21 the the DT cord-283985-8mdnkegz 49 22 contact contact NN cord-283985-8mdnkegz 49 23 with with IN cord-283985-8mdnkegz 49 24 the the DT cord-283985-8mdnkegz 49 25 infected infected JJ cord-283985-8mdnkegz 49 26 individuals individual NNS cord-283985-8mdnkegz 49 27 and and CC cord-283985-8mdnkegz 49 28 contaminated contaminated JJ cord-283985-8mdnkegz 49 29 environment environment NN cord-283985-8mdnkegz 49 30 so so IN cord-283985-8mdnkegz 49 31 as as IN cord-283985-8mdnkegz 49 32 to to TO cord-283985-8mdnkegz 49 33 protect protect VB cord-283985-8mdnkegz 49 34 themselves -PRON- PRP cord-283985-8mdnkegz 49 35 and and CC cord-283985-8mdnkegz 49 36 their -PRON- PRP$ cord-283985-8mdnkegz 49 37 families family NNS cord-283985-8mdnkegz 49 38 , , , cord-283985-8mdnkegz 49 39 leading lead VBG cord-283985-8mdnkegz 49 40 to to IN cord-283985-8mdnkegz 49 41 a a DT cord-283985-8mdnkegz 49 42 reduction reduction NN cord-283985-8mdnkegz 49 43 of of IN cord-283985-8mdnkegz 49 44 the the DT cord-283985-8mdnkegz 49 45 average average JJ cord-283985-8mdnkegz 49 46 transmission transmission NN cord-283985-8mdnkegz 49 47 rates rate NNS cord-283985-8mdnkegz 49 48 . . . cord-283985-8mdnkegz 50 1 Such such JJ cord-283985-8mdnkegz 50 2 varied varied JJ cord-283985-8mdnkegz 50 3 transmission transmission NN cord-283985-8mdnkegz 50 4 rates rate NNS cord-283985-8mdnkegz 50 5 also also RB cord-283985-8mdnkegz 50 6 reflect reflect VBP cord-283985-8mdnkegz 50 7 the the DT cord-283985-8mdnkegz 50 8 strong strong JJ cord-283985-8mdnkegz 50 9 disease disease NN cord-283985-8mdnkegz 50 10 control control NN cord-283985-8mdnkegz 50 11 measures measure NNS cord-283985-8mdnkegz 50 12 that that WDT cord-283985-8mdnkegz 50 13 the the DT cord-283985-8mdnkegz 50 14 Chinese chinese JJ cord-283985-8mdnkegz 50 15 government government NN cord-283985-8mdnkegz 50 16 has have VBZ cord-283985-8mdnkegz 50 17 implemented implement VBN cord-283985-8mdnkegz 50 18 , , , cord-283985-8mdnkegz 50 19 including include VBG cord-283985-8mdnkegz 50 20 large large JJ cord-283985-8mdnkegz 50 21 - - HYPH cord-283985-8mdnkegz 50 22 scale scale NN cord-283985-8mdnkegz 50 23 quarantine quarantine NN cord-283985-8mdnkegz 50 24 , , , cord-283985-8mdnkegz 50 25 intensive intensive JJ cord-283985-8mdnkegz 50 26 tracking tracking NN cord-283985-8mdnkegz 50 27 of of IN cord-283985-8mdnkegz 50 28 movement movement NN cord-283985-8mdnkegz 50 29 and and CC cord-283985-8mdnkegz 50 30 contact contact NN cord-283985-8mdnkegz 50 31 , , , cord-283985-8mdnkegz 50 32 strict strict JJ cord-283985-8mdnkegz 50 33 isolation isolation NN cord-283985-8mdnkegz 50 34 , , , cord-283985-8mdnkegz 50 35 extending extend VBG cord-283985-8mdnkegz 50 36 the the DT cord-283985-8mdnkegz 50 37 Lunar Lunar NNP cord-283985-8mdnkegz 50 38 New New NNP cord-283985-8mdnkegz 50 39 Year Year NNP cord-283985-8mdnkegz 50 40 holiday holiday NN cord-283985-8mdnkegz 50 41 , , , cord-283985-8mdnkegz 50 42 and and CC cord-283985-8mdnkegz 50 43 advising advise VBG cord-283985-8mdnkegz 50 44 the the DT cord-283985-8mdnkegz 50 45 public public NN cord-283985-8mdnkegz 50 46 to to TO cord-283985-8mdnkegz 50 47 stay stay VB cord-283985-8mdnkegz 50 48 home home RB cord-283985-8mdnkegz 50 49 and and CC cord-283985-8mdnkegz 50 50 avoid avoid VB cord-283985-8mdnkegz 50 51 spreading spread VBG cord-283985-8mdnkegz 50 52 infection infection NN cord-283985-8mdnkegz 50 53 . . . cord-283985-8mdnkegz 51 1 The the DT cord-283985-8mdnkegz 51 2 remainder remainder NN cord-283985-8mdnkegz 51 3 of of IN cord-283985-8mdnkegz 51 4 this this DT cord-283985-8mdnkegz 51 5 paper paper NN cord-283985-8mdnkegz 51 6 is be VBZ cord-283985-8mdnkegz 51 7 organized organize VBN cord-283985-8mdnkegz 51 8 as as IN cord-283985-8mdnkegz 51 9 follows follow NNS cord-283985-8mdnkegz 51 10 . . . cord-283985-8mdnkegz 52 1 In in IN cord-283985-8mdnkegz 52 2 Section section NN cord-283985-8mdnkegz 52 3 2 2 CD cord-283985-8mdnkegz 52 4 , , , cord-283985-8mdnkegz 52 5 we -PRON- PRP cord-283985-8mdnkegz 52 6 present present VBP cord-283985-8mdnkegz 52 7 our -PRON- PRP$ cord-283985-8mdnkegz 52 8 model model NN cord-283985-8mdnkegz 52 9 and and CC cord-283985-8mdnkegz 52 10 assumptions assumption NNS cord-283985-8mdnkegz 52 11 , , , cord-283985-8mdnkegz 52 12 and and CC cord-283985-8mdnkegz 52 13 conduct conduct VB cord-283985-8mdnkegz 52 14 a a DT cord-283985-8mdnkegz 52 15 detailed detailed JJ cord-283985-8mdnkegz 52 16 mathematical mathematical JJ cord-283985-8mdnkegz 52 17 analysis analysis NN cord-283985-8mdnkegz 52 18 . . . cord-283985-8mdnkegz 53 1 In in IN cord-283985-8mdnkegz 53 2 Section section NN cord-283985-8mdnkegz 53 3 3 3 CD cord-283985-8mdnkegz 53 4 , , , cord-283985-8mdnkegz 53 5 we -PRON- PRP cord-283985-8mdnkegz 53 6 conduct conduct VBP cord-283985-8mdnkegz 53 7 numerical numerical JJ cord-283985-8mdnkegz 53 8 simulation simulation NN cord-283985-8mdnkegz 53 9 by by IN cord-283985-8mdnkegz 53 10 incorporating incorporate VBG cord-283985-8mdnkegz 53 11 the the DT cord-283985-8mdnkegz 53 12 infection infection NN cord-283985-8mdnkegz 53 13 data datum NNS cord-283985-8mdnkegz 53 14 reported report VBN cord-283985-8mdnkegz 53 15 for for IN cord-283985-8mdnkegz 53 16 the the DT cord-283985-8mdnkegz 53 17 city city NN cord-283985-8mdnkegz 53 18 of of IN cord-283985-8mdnkegz 53 19 Wuhan Wuhan NNP cord-283985-8mdnkegz 53 20 . . . cord-283985-8mdnkegz 54 1 In in IN cord-283985-8mdnkegz 54 2 Section section NN cord-283985-8mdnkegz 54 3 4 4 CD cord-283985-8mdnkegz 54 4 , , , cord-283985-8mdnkegz 54 5 we -PRON- PRP cord-283985-8mdnkegz 54 6 conclude conclude VBP cord-283985-8mdnkegz 54 7 the the DT cord-283985-8mdnkegz 54 8 paper paper NN cord-283985-8mdnkegz 54 9 with with IN cord-283985-8mdnkegz 54 10 some some DT cord-283985-8mdnkegz 54 11 discussion discussion NN cord-283985-8mdnkegz 54 12 . . . cord-283985-8mdnkegz 55 1 We -PRON- PRP cord-283985-8mdnkegz 55 2 divide divide VBP cord-283985-8mdnkegz 55 3 the the DT cord-283985-8mdnkegz 55 4 total total JJ cord-283985-8mdnkegz 55 5 human human JJ cord-283985-8mdnkegz 55 6 population population NN cord-283985-8mdnkegz 55 7 into into IN cord-283985-8mdnkegz 55 8 four four CD cord-283985-8mdnkegz 55 9 compartments compartment NNS cord-283985-8mdnkegz 55 10 : : : cord-283985-8mdnkegz 55 11 the the DT cord-283985-8mdnkegz 55 12 susceptible susceptible JJ cord-283985-8mdnkegz 55 13 ( ( -LRB- cord-283985-8mdnkegz 55 14 denoted denote VBN cord-283985-8mdnkegz 55 15 by by IN cord-283985-8mdnkegz 55 16 S S NNP cord-283985-8mdnkegz 55 17 ) ) -RRB- cord-283985-8mdnkegz 55 18 , , , cord-283985-8mdnkegz 55 19 the the DT cord-283985-8mdnkegz 55 20 exposed expose VBN cord-283985-8mdnkegz 55 21 ( ( -LRB- cord-283985-8mdnkegz 55 22 denoted denote VBN cord-283985-8mdnkegz 55 23 by by IN cord-283985-8mdnkegz 55 24 E E NNP cord-283985-8mdnkegz 55 25 ) ) -RRB- cord-283985-8mdnkegz 55 26 , , , cord-283985-8mdnkegz 55 27 the the DT cord-283985-8mdnkegz 55 28 infected infected JJ cord-283985-8mdnkegz 55 29 ( ( -LRB- cord-283985-8mdnkegz 55 30 denoted denote VBN cord-283985-8mdnkegz 55 31 by by IN cord-283985-8mdnkegz 55 32 I i NN cord-283985-8mdnkegz 55 33 ) ) -RRB- cord-283985-8mdnkegz 55 34 , , , cord-283985-8mdnkegz 55 35 and and CC cord-283985-8mdnkegz 55 36 the the DT cord-283985-8mdnkegz 55 37 recovered recover VBN cord-283985-8mdnkegz 55 38 ( ( -LRB- cord-283985-8mdnkegz 55 39 denoted denote VBN cord-283985-8mdnkegz 55 40 by by IN cord-283985-8mdnkegz 55 41 R r NN cord-283985-8mdnkegz 55 42 ) ) -RRB- cord-283985-8mdnkegz 55 43 . . . cord-283985-8mdnkegz 56 1 Individuals individual NNS cord-283985-8mdnkegz 56 2 in in IN cord-283985-8mdnkegz 56 3 the the DT cord-283985-8mdnkegz 56 4 infected infected JJ cord-283985-8mdnkegz 56 5 class class NN cord-283985-8mdnkegz 56 6 have have VBP cord-283985-8mdnkegz 56 7 fully fully RB cord-283985-8mdnkegz 56 8 developed develop VBN cord-283985-8mdnkegz 56 9 disease disease NN cord-283985-8mdnkegz 56 10 symptoms symptom NNS cord-283985-8mdnkegz 56 11 and and CC cord-283985-8mdnkegz 56 12 can can MD cord-283985-8mdnkegz 56 13 infect infect VB cord-283985-8mdnkegz 56 14 other other JJ cord-283985-8mdnkegz 56 15 people people NNS cord-283985-8mdnkegz 56 16 . . . cord-283985-8mdnkegz 57 1 Individuals individual NNS cord-283985-8mdnkegz 57 2 in in IN cord-283985-8mdnkegz 57 3 the the DT cord-283985-8mdnkegz 57 4 exposed expose VBN cord-283985-8mdnkegz 57 5 class class NN cord-283985-8mdnkegz 57 6 are be VBP cord-283985-8mdnkegz 57 7 in in IN cord-283985-8mdnkegz 57 8 the the DT cord-283985-8mdnkegz 57 9 incubation incubation NN cord-283985-8mdnkegz 57 10 period period NN cord-283985-8mdnkegz 57 11 ; ; : cord-283985-8mdnkegz 57 12 they -PRON- PRP cord-283985-8mdnkegz 57 13 do do VBP cord-283985-8mdnkegz 57 14 not not RB cord-283985-8mdnkegz 57 15 show show VB cord-283985-8mdnkegz 57 16 symptoms symptom NNS cord-283985-8mdnkegz 57 17 but but CC cord-283985-8mdnkegz 57 18 are be VBP cord-283985-8mdnkegz 57 19 still still RB cord-283985-8mdnkegz 57 20 capable capable JJ cord-283985-8mdnkegz 57 21 of of IN cord-283985-8mdnkegz 57 22 infecting infect VBG cord-283985-8mdnkegz 57 23 others other NNS cord-283985-8mdnkegz 57 24 . . . cord-283985-8mdnkegz 58 1 Thus thus RB cord-283985-8mdnkegz 58 2 , , , cord-283985-8mdnkegz 58 3 another another DT cord-283985-8mdnkegz 58 4 interpretation interpretation NN cord-283985-8mdnkegz 58 5 of of IN cord-283985-8mdnkegz 58 6 the the DT cord-283985-8mdnkegz 58 7 E e NN cord-283985-8mdnkegz 58 8 and and CC cord-283985-8mdnkegz 58 9 I -PRON- PRP cord-283985-8mdnkegz 58 10 compartments compartment VBZ cord-283985-8mdnkegz 58 11 in in IN cord-283985-8mdnkegz 58 12 our -PRON- PRP$ cord-283985-8mdnkegz 58 13 model model NN cord-283985-8mdnkegz 58 14 is be VBZ cord-283985-8mdnkegz 58 15 that that IN cord-283985-8mdnkegz 58 16 they -PRON- PRP cord-283985-8mdnkegz 58 17 contain contain VBP cord-283985-8mdnkegz 58 18 asymptomatic asymptomatic JJ cord-283985-8mdnkegz 58 19 infected infected JJ cord-283985-8mdnkegz 58 20 and and CC cord-283985-8mdnkegz 58 21 symptomatic symptomatic JJ cord-283985-8mdnkegz 58 22 infected infected JJ cord-283985-8mdnkegz 58 23 individuals individual NNS cord-283985-8mdnkegz 58 24 , , , cord-283985-8mdnkegz 58 25 respectively respectively RB cord-283985-8mdnkegz 58 26 . . . cord-283985-8mdnkegz 59 1 We -PRON- PRP cord-283985-8mdnkegz 59 2 introduce introduce VBP cord-283985-8mdnkegz 59 3 the the DT cord-283985-8mdnkegz 59 4 following following JJ cord-283985-8mdnkegz 59 5 model model NN cord-283985-8mdnkegz 59 6 to to TO cord-283985-8mdnkegz 59 7 describe describe VB cord-283985-8mdnkegz 59 8 the the DT cord-283985-8mdnkegz 59 9 transmission transmission NN cord-283985-8mdnkegz 59 10 dynamics dynamic NNS cord-283985-8mdnkegz 59 11 of of IN cord-283985-8mdnkegz 59 12 the the DT cord-283985-8mdnkegz 59 13 COVID-19 covid-19 JJ cord-283985-8mdnkegz 59 14 epidemic epidemic NN cord-283985-8mdnkegz 59 15 : : : cord-283985-8mdnkegz 59 16 dV dV NNP cord-283985-8mdnkegz 59 17 dt dt NNP cord-283985-8mdnkegz 59 18 = = SYM cord-283985-8mdnkegz 59 19 ξ ξ NN cord-283985-8mdnkegz 59 20 1 1 CD cord-283985-8mdnkegz 59 21 E e NN cord-283985-8mdnkegz 60 1 + + CC cord-283985-8mdnkegz 60 2 ξ ξ NN cord-283985-8mdnkegz 60 3 2 2 CD cord-283985-8mdnkegz 60 4 I i NN cord-283985-8mdnkegz 60 5 − − NNP cord-283985-8mdnkegz 61 1 σV σV NNP cord-283985-8mdnkegz 61 2 , , , cord-283985-8mdnkegz 61 3 ( ( -LRB- cord-283985-8mdnkegz 61 4 2.1 2.1 CD cord-283985-8mdnkegz 61 5 ) ) -RRB- cord-283985-8mdnkegz 61 6 where where WRB cord-283985-8mdnkegz 61 7 V V NNP cord-283985-8mdnkegz 61 8 is be VBZ cord-283985-8mdnkegz 61 9 the the DT cord-283985-8mdnkegz 61 10 concentration concentration NN cord-283985-8mdnkegz 61 11 of of IN cord-283985-8mdnkegz 61 12 the the DT cord-283985-8mdnkegz 61 13 coronavirus coronavirus NN cord-283985-8mdnkegz 61 14 in in IN cord-283985-8mdnkegz 61 15 the the DT cord-283985-8mdnkegz 61 16 environmental environmental JJ cord-283985-8mdnkegz 61 17 reservoir reservoir NN cord-283985-8mdnkegz 61 18 . . . cord-283985-8mdnkegz 62 1 The the DT cord-283985-8mdnkegz 62 2 parameter parameter NN cord-283985-8mdnkegz 62 3 Λ Λ NNP cord-283985-8mdnkegz 62 4 represents represent VBZ cord-283985-8mdnkegz 62 5 the the DT cord-283985-8mdnkegz 62 6 population population NN cord-283985-8mdnkegz 62 7 influx influx NN cord-283985-8mdnkegz 62 8 , , , cord-283985-8mdnkegz 62 9 μ μ NN cord-283985-8mdnkegz 62 10 is be VBZ cord-283985-8mdnkegz 62 11 the the DT cord-283985-8mdnkegz 62 12 natural natural JJ cord-283985-8mdnkegz 62 13 death death NN cord-283985-8mdnkegz 62 14 rate rate NN cord-283985-8mdnkegz 62 15 of of IN cord-283985-8mdnkegz 62 16 human human JJ cord-283985-8mdnkegz 62 17 hosts host NNS cord-283985-8mdnkegz 62 18 , , . cord-283985-8mdnkegz 63 1 α α NNP cord-283985-8mdnkegz 63 2 −1 −1 NNP cord-283985-8mdnkegz 63 3 is be VBZ cord-283985-8mdnkegz 63 4 the the DT cord-283985-8mdnkegz 63 5 incubation incubation NN cord-283985-8mdnkegz 63 6 period period NN cord-283985-8mdnkegz 63 7 between between IN cord-283985-8mdnkegz 63 8 the the DT cord-283985-8mdnkegz 63 9 infection infection NN cord-283985-8mdnkegz 63 10 and and CC cord-283985-8mdnkegz 63 11 the the DT cord-283985-8mdnkegz 63 12 onset onset NN cord-283985-8mdnkegz 63 13 of of IN cord-283985-8mdnkegz 63 14 symptoms symptom NNS cord-283985-8mdnkegz 63 15 , , , cord-283985-8mdnkegz 63 16 w w NNP cord-283985-8mdnkegz 63 17 is be VBZ cord-283985-8mdnkegz 63 18 the the DT cord-283985-8mdnkegz 63 19 diseaseinduced diseaseinduced JJ cord-283985-8mdnkegz 63 20 death death NN cord-283985-8mdnkegz 63 21 rate rate NN cord-283985-8mdnkegz 63 22 , , , cord-283985-8mdnkegz 63 23 γ γ NN cord-283985-8mdnkegz 63 24 is be VBZ cord-283985-8mdnkegz 63 25 the the DT cord-283985-8mdnkegz 63 26 rate rate NN cord-283985-8mdnkegz 63 27 of of IN cord-283985-8mdnkegz 63 28 recovery recovery NN cord-283985-8mdnkegz 63 29 from from IN cord-283985-8mdnkegz 63 30 infection infection NN cord-283985-8mdnkegz 63 31 , , , cord-283985-8mdnkegz 63 32 ξ ξ NN cord-283985-8mdnkegz 63 33 1 1 CD cord-283985-8mdnkegz 63 34 and and CC cord-283985-8mdnkegz 63 35 ξ ξ NN cord-283985-8mdnkegz 63 36 2 2 CD cord-283985-8mdnkegz 63 37 are be VBP cord-283985-8mdnkegz 63 38 the the DT cord-283985-8mdnkegz 63 39 respective respective JJ cord-283985-8mdnkegz 63 40 rates rate NNS cord-283985-8mdnkegz 63 41 of of IN cord-283985-8mdnkegz 63 42 the the DT cord-283985-8mdnkegz 63 43 exposed expose VBN cord-283985-8mdnkegz 63 44 and and CC cord-283985-8mdnkegz 63 45 infected infect VBN cord-283985-8mdnkegz 63 46 individuals individual NNS cord-283985-8mdnkegz 63 47 contributing contribute VBG cord-283985-8mdnkegz 63 48 the the DT cord-283985-8mdnkegz 63 49 coronavirus coronavirus NN cord-283985-8mdnkegz 63 50 to to IN cord-283985-8mdnkegz 63 51 the the DT cord-283985-8mdnkegz 63 52 environmental environmental JJ cord-283985-8mdnkegz 63 53 reservoir reservoir NN cord-283985-8mdnkegz 63 54 , , , cord-283985-8mdnkegz 63 55 and and CC cord-283985-8mdnkegz 63 56 σ σ NN cord-283985-8mdnkegz 63 57 is be VBZ cord-283985-8mdnkegz 63 58 the the DT cord-283985-8mdnkegz 63 59 removal removal NN cord-283985-8mdnkegz 63 60 rate rate NN cord-283985-8mdnkegz 63 61 of of IN cord-283985-8mdnkegz 63 62 the the DT cord-283985-8mdnkegz 63 63 virus virus NN cord-283985-8mdnkegz 63 64 from from IN cord-283985-8mdnkegz 63 65 the the DT cord-283985-8mdnkegz 63 66 environment environment NN cord-283985-8mdnkegz 63 67 . . . cord-283985-8mdnkegz 64 1 The the DT cord-283985-8mdnkegz 64 2 functions function NNS cord-283985-8mdnkegz 64 3 β β NN cord-283985-8mdnkegz 64 4 E e NN cord-283985-8mdnkegz 64 5 ( ( -LRB- cord-283985-8mdnkegz 64 6 E E NNP cord-283985-8mdnkegz 64 7 ) ) -RRB- cord-283985-8mdnkegz 64 8 and and CC cord-283985-8mdnkegz 64 9 β β FW cord-283985-8mdnkegz 64 10 I -PRON- PRP cord-283985-8mdnkegz 64 11 ( ( -LRB- cord-283985-8mdnkegz 64 12 I i NN cord-283985-8mdnkegz 64 13 ) ) -RRB- cord-283985-8mdnkegz 64 14 represent represent VBP cord-283985-8mdnkegz 64 15 the the DT cord-283985-8mdnkegz 64 16 direct direct JJ cord-283985-8mdnkegz 64 17 , , , cord-283985-8mdnkegz 64 18 human human JJ cord-283985-8mdnkegz 64 19 - - HYPH cord-283985-8mdnkegz 64 20 to to IN cord-283985-8mdnkegz 64 21 - - HYPH cord-283985-8mdnkegz 64 22 human human JJ cord-283985-8mdnkegz 64 23 transmission transmission NN cord-283985-8mdnkegz 64 24 rates rate NNS cord-283985-8mdnkegz 64 25 between between IN cord-283985-8mdnkegz 64 26 the the DT cord-283985-8mdnkegz 64 27 exposed expose VBN cord-283985-8mdnkegz 64 28 and and CC cord-283985-8mdnkegz 64 29 susceptible susceptible JJ cord-283985-8mdnkegz 64 30 individuals individual NNS cord-283985-8mdnkegz 64 31 , , , cord-283985-8mdnkegz 64 32 and and CC cord-283985-8mdnkegz 64 33 between between IN cord-283985-8mdnkegz 64 34 the the DT cord-283985-8mdnkegz 64 35 infected infected JJ cord-283985-8mdnkegz 64 36 and and CC cord-283985-8mdnkegz 64 37 susceptible susceptible JJ cord-283985-8mdnkegz 64 38 individuals individual NNS cord-283985-8mdnkegz 64 39 , , , cord-283985-8mdnkegz 64 40 respectively respectively RB cord-283985-8mdnkegz 64 41 , , , cord-283985-8mdnkegz 64 42 and and CC cord-283985-8mdnkegz 64 43 the the DT cord-283985-8mdnkegz 64 44 function function NN cord-283985-8mdnkegz 64 45 β β NN cord-283985-8mdnkegz 64 46 V v NN cord-283985-8mdnkegz 64 47 ( ( -LRB- cord-283985-8mdnkegz 64 48 V v NN cord-283985-8mdnkegz 64 49 ) ) -RRB- cord-283985-8mdnkegz 64 50 represents represent VBZ cord-283985-8mdnkegz 64 51 the the DT cord-283985-8mdnkegz 64 52 indirect indirect JJ cord-283985-8mdnkegz 64 53 , , , cord-283985-8mdnkegz 64 54 environment environment NN cord-283985-8mdnkegz 64 55 - - HYPH cord-283985-8mdnkegz 64 56 to to IN cord-283985-8mdnkegz 64 57 - - HYPH cord-283985-8mdnkegz 64 58 human human JJ cord-283985-8mdnkegz 64 59 transmission transmission NN cord-283985-8mdnkegz 64 60 rate rate NN cord-283985-8mdnkegz 64 61 . . . cord-283985-8mdnkegz 65 1 We -PRON- PRP cord-283985-8mdnkegz 65 2 assume assume VBP cord-283985-8mdnkegz 65 3 that that IN cord-283985-8mdnkegz 65 4 β β NN cord-283985-8mdnkegz 65 5 E e NN cord-283985-8mdnkegz 65 6 ( ( -LRB- cord-283985-8mdnkegz 65 7 E E NNP cord-283985-8mdnkegz 65 8 ) ) -RRB- cord-283985-8mdnkegz 65 9 , , , cord-283985-8mdnkegz 65 10 β β FW cord-283985-8mdnkegz 65 11 I -PRON- PRP cord-283985-8mdnkegz 65 12 ( ( -LRB- cord-283985-8mdnkegz 65 13 I i NN cord-283985-8mdnkegz 65 14 ) ) -RRB- cord-283985-8mdnkegz 65 15 and and CC cord-283985-8mdnkegz 65 16 β β NN cord-283985-8mdnkegz 65 17 V v NN cord-283985-8mdnkegz 65 18 ( ( -LRB- cord-283985-8mdnkegz 65 19 V v NN cord-283985-8mdnkegz 65 20 ) ) -RRB- cord-283985-8mdnkegz 65 21 are be VBP cord-283985-8mdnkegz 65 22 all all DT cord-283985-8mdnkegz 65 23 non non JJ cord-283985-8mdnkegz 65 24 - - JJ cord-283985-8mdnkegz 65 25 increasing increasing JJ cord-283985-8mdnkegz 65 26 functions function NNS cord-283985-8mdnkegz 65 27 , , , cord-283985-8mdnkegz 65 28 given give VBN cord-283985-8mdnkegz 65 29 that that IN cord-283985-8mdnkegz 65 30 higher high JJR cord-283985-8mdnkegz 65 31 values value NNS cord-283985-8mdnkegz 65 32 of of IN cord-283985-8mdnkegz 65 33 E e NN cord-283985-8mdnkegz 65 34 , , , cord-283985-8mdnkegz 65 35 I -PRON- PRP cord-283985-8mdnkegz 65 36 and and CC cord-283985-8mdnkegz 65 37 V V NNP cord-283985-8mdnkegz 65 38 would would MD cord-283985-8mdnkegz 65 39 motivate motivate VB cord-283985-8mdnkegz 65 40 stronger strong JJR cord-283985-8mdnkegz 65 41 control control NN cord-283985-8mdnkegz 65 42 measures measure NNS cord-283985-8mdnkegz 65 43 that that WDT cord-283985-8mdnkegz 65 44 could could MD cord-283985-8mdnkegz 65 45 reduce reduce VB cord-283985-8mdnkegz 65 46 the the DT cord-283985-8mdnkegz 65 47 transmission transmission NN cord-283985-8mdnkegz 65 48 rates rate NNS cord-283985-8mdnkegz 65 49 . . . cord-283985-8mdnkegz 66 1 Specifically specifically RB cord-283985-8mdnkegz 66 2 , , , cord-283985-8mdnkegz 66 3 we -PRON- PRP cord-283985-8mdnkegz 66 4 make make VBP cord-283985-8mdnkegz 66 5 the the DT cord-283985-8mdnkegz 66 6 following follow VBG cord-283985-8mdnkegz 66 7 assumptions assumption NNS cord-283985-8mdnkegz 66 8 : : : cord-283985-8mdnkegz 66 9 Apparently apparently RB cord-283985-8mdnkegz 66 10 , , , cord-283985-8mdnkegz 66 11 system system NN cord-283985-8mdnkegz 66 12 ( ( -LRB- cord-283985-8mdnkegz 66 13 2.1 2.1 CD cord-283985-8mdnkegz 66 14 ) ) -RRB- cord-283985-8mdnkegz 66 15 has have VBZ cord-283985-8mdnkegz 66 16 a a DT cord-283985-8mdnkegz 66 17 unique unique JJ cord-283985-8mdnkegz 66 18 disease disease NN cord-283985-8mdnkegz 66 19 - - HYPH cord-283985-8mdnkegz 66 20 free free JJ cord-283985-8mdnkegz 66 21 equilibrium equilibrium NN cord-283985-8mdnkegz 66 22 ( ( -LRB- cord-283985-8mdnkegz 66 23 DFE DFE NNP cord-283985-8mdnkegz 66 24 ) ) -RRB- cord-283985-8mdnkegz 66 25 at at IN cord-283985-8mdnkegz 66 26 The the DT cord-283985-8mdnkegz 66 27 infection infection NN cord-283985-8mdnkegz 66 28 components component NNS cord-283985-8mdnkegz 66 29 in in IN cord-283985-8mdnkegz 66 30 this this DT cord-283985-8mdnkegz 66 31 model model NN cord-283985-8mdnkegz 67 1 are be VBP cord-283985-8mdnkegz 67 2 E E NNP cord-283985-8mdnkegz 67 3 , , , cord-283985-8mdnkegz 67 4 I -PRON- PRP cord-283985-8mdnkegz 67 5 , , , cord-283985-8mdnkegz 67 6 and and CC cord-283985-8mdnkegz 67 7 V. V. NNP cord-283985-8mdnkegz 68 1 The the DT cord-283985-8mdnkegz 68 2 new new JJ cord-283985-8mdnkegz 68 3 infection infection NN cord-283985-8mdnkegz 68 4 matrix matrix NN cord-283985-8mdnkegz 68 5 F F NNP cord-283985-8mdnkegz 68 6 and and CC cord-283985-8mdnkegz 68 7 the the DT cord-283985-8mdnkegz 68 8 transition transition NN cord-283985-8mdnkegz 68 9 matrix matrix NN cord-283985-8mdnkegz 68 10 V V NNP cord-283985-8mdnkegz 68 11 are be VBP cord-283985-8mdnkegz 68 12 given give VBN cord-283985-8mdnkegz 68 13 by by IN cord-283985-8mdnkegz 68 14 where where WRB cord-283985-8mdnkegz 68 15 w w NN cord-283985-8mdnkegz 68 16 1 1 CD cord-283985-8mdnkegz 68 17 = = SYM cord-283985-8mdnkegz 68 18 w w NN cord-283985-8mdnkegz 68 19 + + CC cord-283985-8mdnkegz 68 20 γ γ NN cord-283985-8mdnkegz 68 21 + + CC cord-283985-8mdnkegz 68 22 μ μ NN cord-283985-8mdnkegz 68 23 . . . cord-283985-8mdnkegz 69 1 The the DT cord-283985-8mdnkegz 69 2 basic basic JJ cord-283985-8mdnkegz 69 3 reproduction reproduction NN cord-283985-8mdnkegz 69 4 number number NN cord-283985-8mdnkegz 69 5 of of IN cord-283985-8mdnkegz 69 6 model model NN cord-283985-8mdnkegz 69 7 ( ( -LRB- cord-283985-8mdnkegz 69 8 2.1 2.1 CD cord-283985-8mdnkegz 69 9 ) ) -RRB- cord-283985-8mdnkegz 69 10 is be VBZ cord-283985-8mdnkegz 69 11 then then RB cord-283985-8mdnkegz 69 12 defined define VBN cord-283985-8mdnkegz 69 13 as as IN cord-283985-8mdnkegz 69 14 the the DT cord-283985-8mdnkegz 69 15 spectral spectral JJ cord-283985-8mdnkegz 69 16 radius radius NN cord-283985-8mdnkegz 69 17 of of IN cord-283985-8mdnkegz 69 18 the the DT cord-283985-8mdnkegz 69 19 next next JJ cord-283985-8mdnkegz 69 20 generation generation NN cord-283985-8mdnkegz 69 21 matrix matrix NN cord-283985-8mdnkegz 69 22 FV FV NNP cord-283985-8mdnkegz 69 23 −1 −1 NNP cord-283985-8mdnkegz 69 24 [ [ -LRB- cord-283985-8mdnkegz 69 25 21 21 CD cord-283985-8mdnkegz 69 26 ] ] -RRB- cord-283985-8mdnkegz 69 27 ; ; : cord-283985-8mdnkegz 69 28 i.e. i.e. FW cord-283985-8mdnkegz 69 29 , , , cord-283985-8mdnkegz 69 30 which which WDT cord-283985-8mdnkegz 69 31 provides provide VBZ cord-283985-8mdnkegz 69 32 a a DT cord-283985-8mdnkegz 69 33 quantification quantification NN cord-283985-8mdnkegz 69 34 of of IN cord-283985-8mdnkegz 69 35 the the DT cord-283985-8mdnkegz 69 36 disease disease NN cord-283985-8mdnkegz 69 37 risk risk NN cord-283985-8mdnkegz 69 38 . . . cord-283985-8mdnkegz 70 1 The the DT cord-283985-8mdnkegz 70 2 first first JJ cord-283985-8mdnkegz 70 3 two two CD cord-283985-8mdnkegz 70 4 parts part NNS cord-283985-8mdnkegz 70 5 ℛ ℛ NN cord-283985-8mdnkegz 70 6 1 1 CD cord-283985-8mdnkegz 70 7 and and CC cord-283985-8mdnkegz 70 8 ℛ ℛ NN cord-283985-8mdnkegz 70 9 2 2 CD cord-283985-8mdnkegz 70 10 measure measure NN cord-283985-8mdnkegz 70 11 the the DT cord-283985-8mdnkegz 70 12 contributions contribution NNS cord-283985-8mdnkegz 70 13 from from IN cord-283985-8mdnkegz 70 14 the the DT cord-283985-8mdnkegz 70 15 human human NN cord-283985-8mdnkegz 70 16 - - HYPH cord-283985-8mdnkegz 70 17 to to IN cord-283985-8mdnkegz 70 18 - - HYPH cord-283985-8mdnkegz 70 19 human human JJ cord-283985-8mdnkegz 70 20 transmission transmission NN cord-283985-8mdnkegz 70 21 routes route NNS cord-283985-8mdnkegz 70 22 ( ( -LRB- cord-283985-8mdnkegz 70 23 exposed expose VBN cord-283985-8mdnkegz 70 24 - - HYPH cord-283985-8mdnkegz 70 25 to to IN cord-283985-8mdnkegz 70 26 - - HYPH cord-283985-8mdnkegz 70 27 susceptible susceptible JJ cord-283985-8mdnkegz 70 28 and and CC cord-283985-8mdnkegz 70 29 infected infect VBN cord-283985-8mdnkegz 70 30 - - HYPH cord-283985-8mdnkegz 70 31 to to IN cord-283985-8mdnkegz 70 32 - - HYPH cord-283985-8mdnkegz 70 33 susceptible susceptible JJ cord-283985-8mdnkegz 70 34 , , , cord-283985-8mdnkegz 70 35 respectively respectively RB cord-283985-8mdnkegz 70 36 ) ) -RRB- cord-283985-8mdnkegz 70 37 , , , cord-283985-8mdnkegz 70 38 and and CC cord-283985-8mdnkegz 70 39 the the DT cord-283985-8mdnkegz 70 40 third third JJ cord-283985-8mdnkegz 70 41 part part NN cord-283985-8mdnkegz 70 42 ℛ ℛ NN cord-283985-8mdnkegz 70 43 3 3 CD cord-283985-8mdnkegz 70 44 represents represent VBZ cord-283985-8mdnkegz 70 45 the the DT cord-283985-8mdnkegz 70 46 contribution contribution NN cord-283985-8mdnkegz 70 47 from from IN cord-283985-8mdnkegz 70 48 the the DT cord-283985-8mdnkegz 70 49 environment environment NN cord-283985-8mdnkegz 70 50 - - HYPH cord-283985-8mdnkegz 70 51 to to IN cord-283985-8mdnkegz 70 52 - - HYPH cord-283985-8mdnkegz 70 53 human human JJ cord-283985-8mdnkegz 70 54 transmission transmission NN cord-283985-8mdnkegz 70 55 route route NN cord-283985-8mdnkegz 70 56 . . . cord-283985-8mdnkegz 71 1 These these DT cord-283985-8mdnkegz 71 2 three three CD cord-283985-8mdnkegz 71 3 transmission transmission NN cord-283985-8mdnkegz 71 4 modes mode NNS cord-283985-8mdnkegz 71 5 collectively collectively RB cord-283985-8mdnkegz 71 6 shape shape VBP cord-283985-8mdnkegz 71 7 the the DT cord-283985-8mdnkegz 71 8 overall overall JJ cord-283985-8mdnkegz 71 9 infection infection NN cord-283985-8mdnkegz 71 10 risk risk NN cord-283985-8mdnkegz 71 11 for for IN cord-283985-8mdnkegz 71 12 the the DT cord-283985-8mdnkegz 71 13 COVID-19 COVID-19 NNP cord-283985-8mdnkegz 71 14 outbreak outbreak NN cord-283985-8mdnkegz 71 15 . . . cord-283985-8mdnkegz 72 1 We -PRON- PRP cord-283985-8mdnkegz 72 2 now now RB cord-283985-8mdnkegz 72 3 analyze analyze VBP cord-283985-8mdnkegz 72 4 the the DT cord-283985-8mdnkegz 72 5 equilibria equilibrium NNS cord-283985-8mdnkegz 72 6 of of IN cord-283985-8mdnkegz 72 7 the the DT cord-283985-8mdnkegz 72 8 system system NN cord-283985-8mdnkegz 72 9 ( ( -LRB- cord-283985-8mdnkegz 72 10 2.1 2.1 CD cord-283985-8mdnkegz 72 11 ) ) -RRB- cord-283985-8mdnkegz 72 12 which which WDT cord-283985-8mdnkegz 72 13 will will MD cord-283985-8mdnkegz 72 14 provide provide VB cord-283985-8mdnkegz 72 15 essential essential JJ cord-283985-8mdnkegz 72 16 information information NN cord-283985-8mdnkegz 72 17 regarding regard VBG cord-283985-8mdnkegz 72 18 the the DT cord-283985-8mdnkegz 72 19 long long JJ cord-283985-8mdnkegz 72 20 - - HYPH cord-283985-8mdnkegz 72 21 term term NN cord-283985-8mdnkegz 72 22 dynamics dynamic NNS cord-283985-8mdnkegz 72 23 of of IN cord-283985-8mdnkegz 72 24 the the DT cord-283985-8mdnkegz 72 25 disease disease NN cord-283985-8mdnkegz 72 26 . . . cord-283985-8mdnkegz 73 1 Let let VB cord-283985-8mdnkegz 73 2 ( ( -LRB- cord-283985-8mdnkegz 73 3 S S NNP cord-283985-8mdnkegz 73 4 , , , cord-283985-8mdnkegz 73 5 E E NNP cord-283985-8mdnkegz 73 6 , , , cord-283985-8mdnkegz 73 7 I -PRON- PRP cord-283985-8mdnkegz 73 8 , , , cord-283985-8mdnkegz 73 9 R r NN cord-283985-8mdnkegz 73 10 , , , cord-283985-8mdnkegz 73 11 V v NN cord-283985-8mdnkegz 73 12 ) ) -RRB- cord-283985-8mdnkegz 73 13 be be VB cord-283985-8mdnkegz 73 14 an an DT cord-283985-8mdnkegz 73 15 equilibrium equilibrium NN cord-283985-8mdnkegz 73 16 of of IN cord-283985-8mdnkegz 73 17 model model NN cord-283985-8mdnkegz 73 18 ( ( -LRB- cord-283985-8mdnkegz 73 19 2.1 2.1 CD cord-283985-8mdnkegz 73 20 ) ) -RRB- cord-283985-8mdnkegz 73 21 and and CC cord-283985-8mdnkegz 73 22 thereby thereby RB cord-283985-8mdnkegz 73 23 satisfy satisfy VB cord-283985-8mdnkegz 73 24 the the DT cord-283985-8mdnkegz 73 25 following follow VBG cord-283985-8mdnkegz 73 26 equations equation NNS cord-283985-8mdnkegz 73 27 It -PRON- PRP cord-283985-8mdnkegz 73 28 follows follow VBZ cord-283985-8mdnkegz 73 29 from from IN cord-283985-8mdnkegz 73 30 the the DT cord-283985-8mdnkegz 73 31 first first JJ cord-283985-8mdnkegz 73 32 two two CD cord-283985-8mdnkegz 73 33 equations equation NNS cord-283985-8mdnkegz 73 34 of of IN cord-283985-8mdnkegz 73 35 ( ( -LRB- cord-283985-8mdnkegz 73 36 2.6 2.6 CD cord-283985-8mdnkegz 73 37 ) ) -RRB- cord-283985-8mdnkegz 73 38 that that IN cord-283985-8mdnkegz 73 39 S S NNP cord-283985-8mdnkegz 73 40 can can MD cord-283985-8mdnkegz 73 41 be be VB cord-283985-8mdnkegz 73 42 denoted denote VBN cord-283985-8mdnkegz 73 43 by by IN cord-283985-8mdnkegz 73 44 a a DT cord-283985-8mdnkegz 73 45 function function NN cord-283985-8mdnkegz 73 46 of of IN cord-283985-8mdnkegz 73 47 I -PRON- PRP cord-283985-8mdnkegz 73 48 , , , cord-283985-8mdnkegz 73 49 namely namely RB cord-283985-8mdnkegz 73 50 , , , cord-283985-8mdnkegz 73 51 Yang Yang NNP cord-283985-8mdnkegz 73 52 and and CC cord-283985-8mdnkegz 73 53 Wang Wang NNP cord-283985-8mdnkegz 73 54 Page Page NNP cord-283985-8mdnkegz 73 55 5 5 CD cord-283985-8mdnkegz 73 56 Math Math NNP cord-283985-8mdnkegz 73 57 Biosci Biosci NNP cord-283985-8mdnkegz 73 58 Eng Eng NNP cord-283985-8mdnkegz 73 59 . . . cord-283985-8mdnkegz 74 1 Author author NN cord-283985-8mdnkegz 74 2 manuscript manuscript NN cord-283985-8mdnkegz 74 3 ; ; : cord-283985-8mdnkegz 74 4 available available JJ cord-283985-8mdnkegz 74 5 in in IN cord-283985-8mdnkegz 74 6 PMC PMC NNP cord-283985-8mdnkegz 74 7 2020 2020 CD cord-283985-8mdnkegz 74 8 July July NNP cord-283985-8mdnkegz 74 9 23 23 CD cord-283985-8mdnkegz 74 10 . . . cord-283985-8mdnkegz 75 1 Meanwhile meanwhile RB cord-283985-8mdnkegz 75 2 , , , cord-283985-8mdnkegz 75 3 in in IN cord-283985-8mdnkegz 75 4 view view NN cord-283985-8mdnkegz 75 5 of of IN cord-283985-8mdnkegz 75 6 the the DT cord-283985-8mdnkegz 75 7 second second JJ cord-283985-8mdnkegz 75 8 equation equation NN cord-283985-8mdnkegz 75 9 of of IN cord-283985-8mdnkegz 75 10 ( ( -LRB- cord-283985-8mdnkegz 75 11 2.5 2.5 CD cord-283985-8mdnkegz 75 12 ) ) -RRB- cord-283985-8mdnkegz 75 13 and and CC cord-283985-8mdnkegz 75 14 Eqs Eqs NNP cord-283985-8mdnkegz 75 15 ( ( -LRB- cord-283985-8mdnkegz 75 16 2.6 2.6 CD cord-283985-8mdnkegz 75 17 ) ) -RRB- cord-283985-8mdnkegz 75 18 , , , cord-283985-8mdnkegz 75 19 we -PRON- PRP cord-283985-8mdnkegz 75 20 obtain obtain VBP cord-283985-8mdnkegz 75 21 Let let VB cord-283985-8mdnkegz 75 22 us -PRON- PRP cord-283985-8mdnkegz 75 23 now now RB cord-283985-8mdnkegz 75 24 consider consider VB cord-283985-8mdnkegz 75 25 curves curve NNS cord-283985-8mdnkegz 75 26 S s NN cord-283985-8mdnkegz 75 27 = = NN cord-283985-8mdnkegz 75 28 ϕ(I ϕ(i NN cord-283985-8mdnkegz 75 29 ) ) -RRB- cord-283985-8mdnkegz 76 1 , , , cord-283985-8mdnkegz 76 2 I -PRON- PRP cord-283985-8mdnkegz 76 3 ≥ ≥ CD cord-283985-8mdnkegz 76 4 0 0 NFP cord-283985-8mdnkegz 76 5 and and CC cord-283985-8mdnkegz 76 6 S s NN cord-283985-8mdnkegz 76 7 = = SYM cord-283985-8mdnkegz 76 8 ψ(I ψ(I NNP cord-283985-8mdnkegz 76 9 ) ) -RRB- cord-283985-8mdnkegz 76 10 , , . cord-283985-8mdnkegz 77 1 I -PRON- PRP cord-283985-8mdnkegz 77 2 ≥ ≥ CD cord-283985-8mdnkegz 77 3 0 0 CD cord-283985-8mdnkegz 77 4 . . . cord-283985-8mdnkegz 78 1 In in IN cord-283985-8mdnkegz 78 2 particular particular JJ cord-283985-8mdnkegz 78 3 , , , cord-283985-8mdnkegz 78 4 the the DT cord-283985-8mdnkegz 78 5 intersections intersection NNS cord-283985-8mdnkegz 78 6 of of IN cord-283985-8mdnkegz 78 7 these these DT cord-283985-8mdnkegz 78 8 two two CD cord-283985-8mdnkegz 78 9 curves curve NNS cord-283985-8mdnkegz 78 10 in in IN cord-283985-8mdnkegz 78 11 ℝ ℝ NN cord-283985-8mdnkegz 78 12 + + SYM cord-283985-8mdnkegz 78 13 2 2 CD cord-283985-8mdnkegz 78 14 determine determine VBP cord-283985-8mdnkegz 78 15 the the DT cord-283985-8mdnkegz 78 16 non non JJ cord-283985-8mdnkegz 78 17 - - JJ cord-283985-8mdnkegz 78 18 DFE DFE NNP cord-283985-8mdnkegz 78 19 equilibria equilibrium NNS cord-283985-8mdnkegz 78 20 . . . cord-283985-8mdnkegz 79 1 Clearly clearly RB cord-283985-8mdnkegz 79 2 , , , cord-283985-8mdnkegz 79 3 ϕ(I ϕ(i LS cord-283985-8mdnkegz 79 4 ) ) -RRB- cord-283985-8mdnkegz 79 5 is be VBZ cord-283985-8mdnkegz 79 6 strictly strictly RB cord-283985-8mdnkegz 79 7 decreasing decrease VBG cord-283985-8mdnkegz 79 8 , , , cord-283985-8mdnkegz 79 9 whereas whereas IN cord-283985-8mdnkegz 79 10 ψ(I ψ(I NNP cord-283985-8mdnkegz 79 11 ) ) -RRB- cord-283985-8mdnkegz 79 12 is be VBZ cord-283985-8mdnkegz 79 13 increasing increase VBG cord-283985-8mdnkegz 79 14 since since IN cord-283985-8mdnkegz 79 15 β β NN cord-283985-8mdnkegz 79 16 E E NNP cord-283985-8mdnkegz 79 17 _SP cord-283985-8mdnkegz 79 18 , , , cord-283985-8mdnkegz 79 19 and and CC cord-283985-8mdnkegz 79 20 Thus thus RB cord-283985-8mdnkegz 79 21 , , , cord-283985-8mdnkegz 79 22 we -PRON- PRP cord-283985-8mdnkegz 79 23 conclude conclude VBP cord-283985-8mdnkegz 79 24 : : : cord-283985-8mdnkegz 80 1 If if IN cord-283985-8mdnkegz 80 2 ℛ ℛ NN cord-283985-8mdnkegz 80 3 0 0 CD cord-283985-8mdnkegz 80 4 > > SYM cord-283985-8mdnkegz 80 5 1 1 CD cord-283985-8mdnkegz 80 6 , , , cord-283985-8mdnkegz 80 7 these these DT cord-283985-8mdnkegz 80 8 two two CD cord-283985-8mdnkegz 80 9 curves curve NNS cord-283985-8mdnkegz 80 10 have have VBP cord-283985-8mdnkegz 80 11 a a DT cord-283985-8mdnkegz 80 12 unique unique JJ cord-283985-8mdnkegz 80 13 intersection intersection NN cord-283985-8mdnkegz 80 14 lying lie VBG cord-283985-8mdnkegz 80 15 in in IN cord-283985-8mdnkegz 80 16 the the DT cord-283985-8mdnkegz 80 17 interior interior NN cord-283985-8mdnkegz 80 18 of of IN cord-283985-8mdnkegz 80 19 ℝ ℝ NN cord-283985-8mdnkegz 80 20 + + SYM cord-283985-8mdnkegz 80 21 2 2 CD cord-283985-8mdnkegz 80 22 , , , cord-283985-8mdnkegz 80 23 since since IN cord-283985-8mdnkegz 80 24 ψ(0 ψ(0 NNP cord-283985-8mdnkegz 80 25 ) ) -RRB- cord-283985-8mdnkegz 80 26 < < XX cord-283985-8mdnkegz 80 27 ϕ(0 ϕ(0 NNP cord-283985-8mdnkegz 80 28 ) ) -RRB- cord-283985-8mdnkegz 80 29 and and CC cord-283985-8mdnkegz 81 1 ψ(I ψ(I NNP cord-283985-8mdnkegz 81 2 1 1 CD cord-283985-8mdnkegz 81 3 ) ) -RRB- cord-283985-8mdnkegz 81 4 ≥ ≥ CD cord-283985-8mdnkegz 81 5 ψ(0 ψ(0 NNP cord-283985-8mdnkegz 81 6 ) ) -RRB- cord-283985-8mdnkegz 81 7 > > NFP cord-283985-8mdnkegz 81 8 0 0 NFP cord-283985-8mdnkegz 81 9 = = SYM cord-283985-8mdnkegz 81 10 ϕ(I ϕ(i NN cord-283985-8mdnkegz 81 11 1 1 CD cord-283985-8mdnkegz 81 12 ) ) -RRB- cord-283985-8mdnkegz 81 13 . . . cord-283985-8mdnkegz 82 1 Furthermore furthermore RB cord-283985-8mdnkegz 82 2 , , , cord-283985-8mdnkegz 82 3 at at IN cord-283985-8mdnkegz 82 4 this this DT cord-283985-8mdnkegz 82 5 intersection intersection NN cord-283985-8mdnkegz 82 6 point point NN cord-283985-8mdnkegz 82 7 , , , cord-283985-8mdnkegz 82 8 Eq Eq NNP cord-283985-8mdnkegz 82 9 ( ( -LRB- cord-283985-8mdnkegz 82 10 2.6 2.6 CD cord-283985-8mdnkegz 82 11 ) ) -RRB- cord-283985-8mdnkegz 82 12 yields yield VBZ cord-283985-8mdnkegz 82 13 a a DT cord-283985-8mdnkegz 82 14 unique unique JJ cord-283985-8mdnkegz 82 15 endemic endemic JJ cord-283985-8mdnkegz 82 16 equilibrium equilibrium NN cord-283985-8mdnkegz 82 17 ( ( -LRB- cord-283985-8mdnkegz 82 18 EE ee NN cord-283985-8mdnkegz 82 19 ) ) -RRB- cord-283985-8mdnkegz 83 1 X X NNS cord-283985-8mdnkegz 84 1 * * NFP cord-283985-8mdnkegz 84 2 = = SYM cord-283985-8mdnkegz 84 3 S s NN cord-283985-8mdnkegz 85 1 * * NFP cord-283985-8mdnkegz 85 2 , , , cord-283985-8mdnkegz 85 3 E E NNP cord-283985-8mdnkegz 85 4 * * NFP cord-283985-8mdnkegz 85 5 , , , cord-283985-8mdnkegz 85 6 I -PRON- PRP cord-283985-8mdnkegz 85 7 * * NFP cord-283985-8mdnkegz 85 8 , , , cord-283985-8mdnkegz 85 9 R R NNP cord-283985-8mdnkegz 85 10 * * NFP cord-283985-8mdnkegz 85 11 , , , cord-283985-8mdnkegz 85 12 V v NN cord-283985-8mdnkegz 86 1 * * NFP cord-283985-8mdnkegz 86 2 . . . cord-283985-8mdnkegz 87 1 If if IN cord-283985-8mdnkegz 87 2 ℛ ℛ NN cord-283985-8mdnkegz 87 3 0 0 CD cord-283985-8mdnkegz 87 4 ≤ ≤ NN cord-283985-8mdnkegz 87 5 1 1 CD cord-283985-8mdnkegz 87 6 , , , cord-283985-8mdnkegz 87 7 the the DT cord-283985-8mdnkegz 87 8 two two CD cord-283985-8mdnkegz 87 9 curves curve NNS cord-283985-8mdnkegz 87 10 have have VBP cord-283985-8mdnkegz 87 11 no no DT cord-283985-8mdnkegz 87 12 intersection intersection NN cord-283985-8mdnkegz 87 13 in in IN cord-283985-8mdnkegz 87 14 the the DT cord-283985-8mdnkegz 87 15 interior interior NN cord-283985-8mdnkegz 87 16 of of IN cord-283985-8mdnkegz 87 17 ℝ ℝ NN cord-283985-8mdnkegz 87 18 + + SYM cord-283985-8mdnkegz 87 19 2 2 CD cord-283985-8mdnkegz 87 20 as as IN cord-283985-8mdnkegz 87 21 ψ(0 ψ(0 NNP cord-283985-8mdnkegz 87 22 ) ) -RRB- cord-283985-8mdnkegz 87 23 ≥ ≥ NNP cord-283985-8mdnkegz 87 24 ϕ(0 ϕ(0 NNP cord-283985-8mdnkegz 87 25 ) ) -RRB- cord-283985-8mdnkegz 87 26 . . . cord-283985-8mdnkegz 88 1 Therefore therefore RB cord-283985-8mdnkegz 88 2 , , , cord-283985-8mdnkegz 88 3 by by IN cord-283985-8mdnkegz 88 4 Eq Eq NNP cord-283985-8mdnkegz 88 5 ( ( -LRB- cord-283985-8mdnkegz 88 6 2.6 2.6 CD cord-283985-8mdnkegz 88 7 ) ) -RRB- cord-283985-8mdnkegz 88 8 , , , cord-283985-8mdnkegz 88 9 we -PRON- PRP cord-283985-8mdnkegz 88 10 find find VBP cord-283985-8mdnkegz 88 11 that that IN cord-283985-8mdnkegz 88 12 the the DT cord-283985-8mdnkegz 88 13 model model NN cord-283985-8mdnkegz 88 14 ( ( -LRB- cord-283985-8mdnkegz 88 15 2.1 2.1 CD cord-283985-8mdnkegz 88 16 ) ) -RRB- cord-283985-8mdnkegz 88 17 admits admit VBZ cord-283985-8mdnkegz 88 18 a a DT cord-283985-8mdnkegz 88 19 unique unique JJ cord-283985-8mdnkegz 88 20 equilibrium equilibrium NN cord-283985-8mdnkegz 88 21 , , , cord-283985-8mdnkegz 88 22 the the DT cord-283985-8mdnkegz 88 23 DFE DFE NNP cord-283985-8mdnkegz 88 24 X X NNP cord-283985-8mdnkegz 88 25 0 0 NNP cord-283985-8mdnkegz 88 26 , , , cord-283985-8mdnkegz 88 27 if if IN cord-283985-8mdnkegz 88 28 ℛ ℛ NN cord-283985-8mdnkegz 88 29 0 0 CD cord-283985-8mdnkegz 88 30 ≤ ≤ NN cord-283985-8mdnkegz 88 31 1 1 CD cord-283985-8mdnkegz 88 32 ; ; : cord-283985-8mdnkegz 88 33 and and CC cord-283985-8mdnkegz 88 34 it -PRON- PRP cord-283985-8mdnkegz 88 35 admits admit VBZ cord-283985-8mdnkegz 88 36 two two CD cord-283985-8mdnkegz 88 37 equilibria equilibrium NNS cord-283985-8mdnkegz 88 38 , , , cord-283985-8mdnkegz 88 39 the the DT cord-283985-8mdnkegz 88 40 DFE DFE NNP cord-283985-8mdnkegz 88 41 X X NNP cord-283985-8mdnkegz 88 42 0 0 CD cord-283985-8mdnkegz 88 43 and and CC cord-283985-8mdnkegz 89 1 the the DT cord-283985-8mdnkegz 89 2 EE EE NNP cord-283985-8mdnkegz 89 3 X X NNP cord-283985-8mdnkegz 89 4 * * NFP cord-283985-8mdnkegz 89 5 , , , cord-283985-8mdnkegz 90 1 if if IN cord-283985-8mdnkegz 90 2 ℛ ℛ NN cord-283985-8mdnkegz 90 3 0 0 CD cord-283985-8mdnkegz 90 4 > > SYM cord-283985-8mdnkegz 90 5 1 1 CD cord-283985-8mdnkegz 90 6 . . . cord-283985-8mdnkegz 91 1 In in IN cord-283985-8mdnkegz 91 2 what what WP cord-283985-8mdnkegz 91 3 follows follow VBZ cord-283985-8mdnkegz 91 4 , , , cord-283985-8mdnkegz 91 5 we -PRON- PRP cord-283985-8mdnkegz 91 6 perform perform VBP cord-283985-8mdnkegz 91 7 a a DT cord-283985-8mdnkegz 91 8 study study NN cord-283985-8mdnkegz 91 9 on on IN cord-283985-8mdnkegz 91 10 the the DT cord-283985-8mdnkegz 91 11 global global JJ cord-283985-8mdnkegz 91 12 stability stability NN cord-283985-8mdnkegz 91 13 of of IN cord-283985-8mdnkegz 91 14 the the DT cord-283985-8mdnkegz 91 15 DFE DFE NNP cord-283985-8mdnkegz 91 16 . . . cord-283985-8mdnkegz 92 1 By by IN cord-283985-8mdnkegz 92 2 a a DT cord-283985-8mdnkegz 92 3 simple simple JJ cord-283985-8mdnkegz 92 4 comparison comparison NN cord-283985-8mdnkegz 92 5 principle principle NN cord-283985-8mdnkegz 92 6 , , , cord-283985-8mdnkegz 92 7 we -PRON- PRP cord-283985-8mdnkegz 92 8 find find VBP cord-283985-8mdnkegz 92 9 that that IN cord-283985-8mdnkegz 92 10 0 0 CD cord-283985-8mdnkegz 92 11 ≤ ≤ NN cord-283985-8mdnkegz 92 12 S s NN cord-283985-8mdnkegz 92 13 + + CC cord-283985-8mdnkegz 92 14 E e NN cord-283985-8mdnkegz 93 1 + + CC cord-283985-8mdnkegz 94 1 I -PRON- PRP cord-283985-8mdnkegz 94 2 + + CC cord-283985-8mdnkegz 94 3 R r NN cord-283985-8mdnkegz 94 4 ≤ ≤ NN cord-283985-8mdnkegz 94 5 S S NNP cord-283985-8mdnkegz 94 6 0 0 CD cord-283985-8mdnkegz 94 7 and and CC cord-283985-8mdnkegz 94 8 0 0 CD cord-283985-8mdnkegz 94 9 ≤ ≤ NN cord-283985-8mdnkegz 94 10 V v NN cord-283985-8mdnkegz 94 11 ≤ ≤ NN cord-283985-8mdnkegz 94 12 ξ ξ NNP cord-283985-8mdnkegz 94 13 1 1 CD cord-283985-8mdnkegz 94 14 + + CC cord-283985-8mdnkegz 95 1 ξ ξ NNP cord-283985-8mdnkegz 95 2 2 2 CD cord-283985-8mdnkegz 95 3 S s NN cord-283985-8mdnkegz 95 4 0 0 CD cord-283985-8mdnkegz 95 5 σ σ NN cord-283985-8mdnkegz 95 6 . . . cord-283985-8mdnkegz 96 1 Thus thus RB cord-283985-8mdnkegz 96 2 , , , cord-283985-8mdnkegz 96 3 it -PRON- PRP cord-283985-8mdnkegz 96 4 leads lead VBZ cord-283985-8mdnkegz 96 5 to to IN cord-283985-8mdnkegz 96 6 a a DT cord-283985-8mdnkegz 96 7 biologically biologically RB cord-283985-8mdnkegz 96 8 feasible feasible JJ cord-283985-8mdnkegz 96 9 domain domain NN cord-283985-8mdnkegz 96 10 Theorem theorem NN cord-283985-8mdnkegz 96 11 2.1 2.1 CD cord-283985-8mdnkegz 96 12 . . . cord-283985-8mdnkegz 97 1 The the DT cord-283985-8mdnkegz 97 2 following follow VBG cord-283985-8mdnkegz 97 3 statements statement NNS cord-283985-8mdnkegz 97 4 hold hold VBP cord-283985-8mdnkegz 97 5 for for IN cord-283985-8mdnkegz 97 6 the the DT cord-283985-8mdnkegz 97 7 model model NN cord-283985-8mdnkegz 97 8 ( ( -LRB- cord-283985-8mdnkegz 97 9 2.1 2.1 CD cord-283985-8mdnkegz 97 10 ) ) -RRB- cord-283985-8mdnkegz 97 11 . . . cord-283985-8mdnkegz 98 1 If if IN cord-283985-8mdnkegz 98 2 ℛ ℛ NN cord-283985-8mdnkegz 98 3 0 0 CD cord-283985-8mdnkegz 98 4 ≤ ≤ NN cord-283985-8mdnkegz 98 5 1 1 CD cord-283985-8mdnkegz 98 6 , , , cord-283985-8mdnkegz 98 7 the the DT cord-283985-8mdnkegz 98 8 DFE DFE NNP cord-283985-8mdnkegz 98 9 of of IN cord-283985-8mdnkegz 98 10 system system NN cord-283985-8mdnkegz 98 11 ( ( -LRB- cord-283985-8mdnkegz 98 12 2.1 2.1 CD cord-283985-8mdnkegz 98 13 ) ) -RRB- cord-283985-8mdnkegz 98 14 is be VBZ cord-283985-8mdnkegz 98 15 globally globally RB cord-283985-8mdnkegz 98 16 asymptotically asymptotically RB cord-283985-8mdnkegz 98 17 stable stable JJ cord-283985-8mdnkegz 98 18 in in IN cord-283985-8mdnkegz 98 19 Ω. ω. NN cord-283985-8mdnkegz 99 1 If if IN cord-283985-8mdnkegz 99 2 ℛ ℛ NN cord-283985-8mdnkegz 99 3 0 0 CD cord-283985-8mdnkegz 99 4 > > SYM cord-283985-8mdnkegz 99 5 1 1 CD cord-283985-8mdnkegz 99 6 , , , cord-283985-8mdnkegz 99 7 the the DT cord-283985-8mdnkegz 99 8 DFE DFE NNP cord-283985-8mdnkegz 99 9 of of IN cord-283985-8mdnkegz 99 10 system system NN cord-283985-8mdnkegz 99 11 ( ( -LRB- cord-283985-8mdnkegz 99 12 2.1 2.1 CD cord-283985-8mdnkegz 99 13 ) ) -RRB- cord-283985-8mdnkegz 99 14 is be VBZ cord-283985-8mdnkegz 99 15 unstable unstable JJ cord-283985-8mdnkegz 99 16 and and CC cord-283985-8mdnkegz 99 17 there there EX cord-283985-8mdnkegz 99 18 exists exist VBZ cord-283985-8mdnkegz 99 19 a a DT cord-283985-8mdnkegz 99 20 unique unique JJ cord-283985-8mdnkegz 99 21 endemic endemic JJ cord-283985-8mdnkegz 99 22 equilibrium equilibrium NN cord-283985-8mdnkegz 99 23 . . . cord-283985-8mdnkegz 100 1 Moreover moreover RB cord-283985-8mdnkegz 100 2 , , , cord-283985-8mdnkegz 100 3 the the DT cord-283985-8mdnkegz 100 4 disease disease NN cord-283985-8mdnkegz 100 5 is be VBZ cord-283985-8mdnkegz 100 6 uniformly uniformly RB cord-283985-8mdnkegz 100 7 persistent persistent JJ cord-283985-8mdnkegz 100 8 in in IN cord-283985-8mdnkegz 100 9 the the DT cord-283985-8mdnkegz 100 10 interior interior NN cord-283985-8mdnkegz 100 11 of of IN cord-283985-8mdnkegz 100 12 Ω Ω NNP cord-283985-8mdnkegz 100 13 , , , cord-283985-8mdnkegz 100 14 denoted denote VBN cord-283985-8mdnkegz 100 15 by by IN cord-283985-8mdnkegz 100 16 Ω Ω NNP cord-283985-8mdnkegz 100 17 ° ° NNS cord-283985-8mdnkegz 100 18 ; ; : cord-283985-8mdnkegz 100 19 namely namely RB cord-283985-8mdnkegz 100 20 , , , cord-283985-8mdnkegz 100 21 lim lim NNP cord-283985-8mdnkegz 100 22 inf inf NNP cord-283985-8mdnkegz 100 23 t t NNP cord-283985-8mdnkegz 101 1 ∞ ∞ NNP cord-283985-8mdnkegz 101 2 ( ( -LRB- cord-283985-8mdnkegz 101 3 E(t E(t NNP cord-283985-8mdnkegz 101 4 ) ) -RRB- cord-283985-8mdnkegz 101 5 , , , cord-283985-8mdnkegz 101 6 I(t I(t NNP cord-283985-8mdnkegz 101 7 ) ) -RRB- cord-283985-8mdnkegz 101 8 , , , cord-283985-8mdnkegz 101 9 V V NNP cord-283985-8mdnkegz 101 10 ( ( -LRB- cord-283985-8mdnkegz 101 11 t t NN cord-283985-8mdnkegz 101 12 ) ) -RRB- cord-283985-8mdnkegz 101 13 ) ) -RRB- cord-283985-8mdnkegz 101 14 > > XX cord-283985-8mdnkegz 102 1 ( ( -LRB- cord-283985-8mdnkegz 102 2 ε ε NNP cord-283985-8mdnkegz 102 3 , , , cord-283985-8mdnkegz 102 4 ε ε NNP cord-283985-8mdnkegz 102 5 , , , cord-283985-8mdnkegz 102 6 ε ε NNP cord-283985-8mdnkegz 102 7 ) ) -RRB- cord-283985-8mdnkegz 102 8 for for IN cord-283985-8mdnkegz 102 9 some some DT cord-283985-8mdnkegz 102 10 ε ε NN cord-283985-8mdnkegz 102 11 > > XX cord-283985-8mdnkegz 102 12 0 0 NFP cord-283985-8mdnkegz 102 13 . . . cord-283985-8mdnkegz 103 1 Proof proof NN cord-283985-8mdnkegz 103 2 . . . cord-283985-8mdnkegz 104 1 Let let VB cord-283985-8mdnkegz 104 2 X x NN cord-283985-8mdnkegz 104 3 = = NFP cord-283985-8mdnkegz 104 4 ( ( -LRB- cord-283985-8mdnkegz 104 5 E e UH cord-283985-8mdnkegz 104 6 , , , cord-283985-8mdnkegz 104 7 I -PRON- PRP cord-283985-8mdnkegz 104 8 , , , cord-283985-8mdnkegz 104 9 V v NN cord-283985-8mdnkegz 104 10 ) ) -RRB- cord-283985-8mdnkegz 104 11 T t NN cord-283985-8mdnkegz 104 12 . . . cord-283985-8mdnkegz 105 1 One one PRP cord-283985-8mdnkegz 105 2 can can MD cord-283985-8mdnkegz 105 3 verify verify VB cord-283985-8mdnkegz 105 4 that that IN cord-283985-8mdnkegz 105 5 where where WRB cord-283985-8mdnkegz 105 6 the the DT cord-283985-8mdnkegz 105 7 matrices matrix NNS cord-283985-8mdnkegz 105 8 F F NNP cord-283985-8mdnkegz 105 9 and and CC cord-283985-8mdnkegz 105 10 V V NNP cord-283985-8mdnkegz 105 11 are be VBP cord-283985-8mdnkegz 105 12 given give VBN cord-283985-8mdnkegz 105 13 in in IN cord-283985-8mdnkegz 105 14 Eq Eq NNP cord-283985-8mdnkegz 105 15 ( ( -LRB- cord-283985-8mdnkegz 105 16 2.3 2.3 CD cord-283985-8mdnkegz 105 17 ) ) -RRB- cord-283985-8mdnkegz 105 18 . . . cord-283985-8mdnkegz 106 1 By by IN cord-283985-8mdnkegz 106 2 manipulating manipulate VBG cord-283985-8mdnkegz 106 3 some some DT cord-283985-8mdnkegz 106 4 algebraic algebraic JJ cord-283985-8mdnkegz 106 5 computaion computaion NN cord-283985-8mdnkegz 106 6 , , , cord-283985-8mdnkegz 106 7 we -PRON- PRP cord-283985-8mdnkegz 106 8 let let VBP cord-283985-8mdnkegz 106 9 u u PRP cord-283985-8mdnkegz 106 10 = = XX cord-283985-8mdnkegz 107 1 ( ( -LRB- cord-283985-8mdnkegz 107 2 β β NN cord-283985-8mdnkegz 107 3 E e NN cord-283985-8mdnkegz 107 4 ( ( -LRB- cord-283985-8mdnkegz 107 5 0 0 NFP cord-283985-8mdnkegz 107 6 ) ) -RRB- cord-283985-8mdnkegz 107 7 , , . cord-283985-8mdnkegz 108 1 β β FW cord-283985-8mdnkegz 108 2 I i NN cord-283985-8mdnkegz 108 3 ( ( -LRB- cord-283985-8mdnkegz 108 4 0 0 NFP cord-283985-8mdnkegz 108 5 ) ) -RRB- cord-283985-8mdnkegz 108 6 , , , cord-283985-8mdnkegz 108 7 β β NN cord-283985-8mdnkegz 108 8 V v NN cord-283985-8mdnkegz 108 9 ( ( -LRB- cord-283985-8mdnkegz 108 10 0 0 NFP cord-283985-8mdnkegz 108 11 ) ) -RRB- cord-283985-8mdnkegz 108 12 ) ) -RRB- cord-283985-8mdnkegz 108 13 . . . cord-283985-8mdnkegz 109 1 It -PRON- PRP cord-283985-8mdnkegz 109 2 then then RB cord-283985-8mdnkegz 109 3 follows follow VBZ cord-283985-8mdnkegz 109 4 from from IN cord-283985-8mdnkegz 109 5 the the DT cord-283985-8mdnkegz 109 6 fact fact NN cord-283985-8mdnkegz 109 7 Differentiating differentiate VBG cord-283985-8mdnkegz 109 8 ℒ ℒ NNP cord-283985-8mdnkegz 109 9 along along IN cord-283985-8mdnkegz 109 10 the the DT cord-283985-8mdnkegz 109 11 solutions solution NNS cord-283985-8mdnkegz 109 12 of of IN cord-283985-8mdnkegz 109 13 ( ( -LRB- cord-283985-8mdnkegz 109 14 2.1 2.1 CD cord-283985-8mdnkegz 109 15 ) ) -RRB- cord-283985-8mdnkegz 109 16 , , , cord-283985-8mdnkegz 109 17 we -PRON- PRP cord-283985-8mdnkegz 109 18 have have VBP cord-283985-8mdnkegz 109 19 If if IN cord-283985-8mdnkegz 109 20 ℛ ℛ NN cord-283985-8mdnkegz 109 21 0 0 CD cord-283985-8mdnkegz 109 22 < < XX cord-283985-8mdnkegz 109 23 1 1 CD cord-283985-8mdnkegz 109 24 , , , cord-283985-8mdnkegz 109 25 the the DT cord-283985-8mdnkegz 109 26 equality equality NN cord-283985-8mdnkegz 110 1 If if IN cord-283985-8mdnkegz 110 2 ℛ ℛ NN cord-283985-8mdnkegz 110 3 0 0 CD cord-283985-8mdnkegz 110 4 = = SYM cord-283985-8mdnkegz 110 5 1 1 CD cord-283985-8mdnkegz 110 6 , , , cord-283985-8mdnkegz 110 7 then then RB cord-283985-8mdnkegz 110 8 the the DT cord-283985-8mdnkegz 110 9 equality equality NN cord-283985-8mdnkegz 111 1 It -PRON- PRP cord-283985-8mdnkegz 111 2 is be VBZ cord-283985-8mdnkegz 111 3 easy easy JJ cord-283985-8mdnkegz 111 4 to to TO cord-283985-8mdnkegz 111 5 see see VB cord-283985-8mdnkegz 111 6 that that IN cord-283985-8mdnkegz 111 7 Yang Yang NNP cord-283985-8mdnkegz 111 8 and and CC cord-283985-8mdnkegz 111 9 Wang Wang NNP cord-283985-8mdnkegz 111 10 Page Page NNP cord-283985-8mdnkegz 111 11 7 7 CD cord-283985-8mdnkegz 111 12 Math Math NNP cord-283985-8mdnkegz 111 13 Biosci Biosci NNP cord-283985-8mdnkegz 111 14 Eng Eng NNP cord-283985-8mdnkegz 111 15 . . . cord-283985-8mdnkegz 112 1 Author author NN cord-283985-8mdnkegz 112 2 manuscript manuscript NN cord-283985-8mdnkegz 112 3 ; ; : cord-283985-8mdnkegz 112 4 available available JJ cord-283985-8mdnkegz 112 5 in in IN cord-283985-8mdnkegz 112 6 PMC PMC NNP cord-283985-8mdnkegz 112 7 2020 2020 CD cord-283985-8mdnkegz 112 8 July July NNP cord-283985-8mdnkegz 112 9 23 23 CD cord-283985-8mdnkegz 112 10 . . . cord-283985-8mdnkegz 113 1 Hence hence RB cord-283985-8mdnkegz 113 2 , , , cord-283985-8mdnkegz 113 3 we -PRON- PRP cord-283985-8mdnkegz 113 4 have have VBP cord-283985-8mdnkegz 113 5 either either DT cord-283985-8mdnkegz 113 6 E e NN cord-283985-8mdnkegz 114 1 = = NFP cord-283985-8mdnkegz 115 1 I -PRON- PRP cord-283985-8mdnkegz 115 2 = = SYM cord-283985-8mdnkegz 115 3 V v NN cord-283985-8mdnkegz 115 4 = = SYM cord-283985-8mdnkegz 115 5 0 0 CD cord-283985-8mdnkegz 115 6 , , , cord-283985-8mdnkegz 115 7 or or CC cord-283985-8mdnkegz 115 8 β β NN cord-283985-8mdnkegz 115 9 E e NN cord-283985-8mdnkegz 115 10 ( ( -LRB- cord-283985-8mdnkegz 115 11 E e NN cord-283985-8mdnkegz 115 12 ) ) -RRB- cord-283985-8mdnkegz 115 13 = = NFP cord-283985-8mdnkegz 116 1 β β NN cord-283985-8mdnkegz 116 2 E E NNP cord-283985-8mdnkegz 116 3 ( ( -LRB- cord-283985-8mdnkegz 116 4 0 0 NFP cord-283985-8mdnkegz 116 5 ) ) -RRB- cord-283985-8mdnkegz 116 6 , , , cord-283985-8mdnkegz 116 7 β β FW cord-283985-8mdnkegz 116 8 I -PRON- PRP cord-283985-8mdnkegz 116 9 ( ( -LRB- cord-283985-8mdnkegz 116 10 I i NN cord-283985-8mdnkegz 116 11 ) ) -RRB- cord-283985-8mdnkegz 116 12 = = NFP cord-283985-8mdnkegz 117 1 β β FW cord-283985-8mdnkegz 117 2 I i NN cord-283985-8mdnkegz 117 3 ( ( -LRB- cord-283985-8mdnkegz 117 4 0 0 NFP cord-283985-8mdnkegz 117 5 ) ) -RRB- cord-283985-8mdnkegz 117 6 , , , cord-283985-8mdnkegz 117 7 β β NN cord-283985-8mdnkegz 117 8 V v NN cord-283985-8mdnkegz 117 9 ( ( -LRB- cord-283985-8mdnkegz 117 10 V v NN cord-283985-8mdnkegz 117 11 ) ) -RRB- cord-283985-8mdnkegz 117 12 = = NFP cord-283985-8mdnkegz 118 1 β β NN cord-283985-8mdnkegz 118 2 V v NN cord-283985-8mdnkegz 118 3 ( ( -LRB- cord-283985-8mdnkegz 118 4 0 0 NFP cord-283985-8mdnkegz 118 5 ) ) -RRB- cord-283985-8mdnkegz 118 6 , , , cord-283985-8mdnkegz 118 7 and and CC cord-283985-8mdnkegz 118 8 S s NN cord-283985-8mdnkegz 118 9 = = SYM cord-283985-8mdnkegz 118 10 S s NN cord-283985-8mdnkegz 118 11 0 0 CD cord-283985-8mdnkegz 118 12 . . . cord-283985-8mdnkegz 119 1 As as IN cord-283985-8mdnkegz 119 2 processed process VBN cord-283985-8mdnkegz 119 3 before before RB cord-283985-8mdnkegz 119 4 , , , cord-283985-8mdnkegz 119 5 each each DT cord-283985-8mdnkegz 119 6 of of IN cord-283985-8mdnkegz 119 7 cases case NNS cord-283985-8mdnkegz 119 8 would would MD cord-283985-8mdnkegz 119 9 indicate indicate VB cord-283985-8mdnkegz 119 10 the the DT cord-283985-8mdnkegz 119 11 DEF def NN cord-283985-8mdnkegz 119 12 X x NN cord-283985-8mdnkegz 119 13 0 0 CD cord-283985-8mdnkegz 119 14 is be VBZ cord-283985-8mdnkegz 119 15 the the DT cord-283985-8mdnkegz 119 16 only only JJ cord-283985-8mdnkegz 119 17 invariant invariant JJ cord-283985-8mdnkegz 119 18 set set NN cord-283985-8mdnkegz 119 19 on on IN cord-283985-8mdnkegz 119 20 ( ( -LRB- cord-283985-8mdnkegz 119 21 S S NNP cord-283985-8mdnkegz 119 22 , , , cord-283985-8mdnkegz 119 23 E E NNP cord-283985-8mdnkegz 119 24 , , , cord-283985-8mdnkegz 119 25 I -PRON- PRP cord-283985-8mdnkegz 119 26 , , , cord-283985-8mdnkegz 120 1 R r NN cord-283985-8mdnkegz 120 2 , , , cord-283985-8mdnkegz 120 3 V v NN cord-283985-8mdnkegz 120 4 ) ) -RRB- cord-283985-8mdnkegz 120 5 ∈ ∈ NN cord-283985-8mdnkegz 120 6 Ω ω NN cord-283985-8mdnkegz 120 7 : : : cord-283985-8mdnkegz 120 8 dℒ dℒ NN cord-283985-8mdnkegz 120 9 0 0 CD cord-283985-8mdnkegz 120 10 dt dt NN cord-283985-8mdnkegz 120 11 = = NN cord-283985-8mdnkegz 120 12 0 0 CD cord-283985-8mdnkegz 120 13 . . . cord-283985-8mdnkegz 121 1 Therefore therefore RB cord-283985-8mdnkegz 121 2 , , , cord-283985-8mdnkegz 121 3 when when WRB cord-283985-8mdnkegz 121 4 ℛ ℛ NN cord-283985-8mdnkegz 121 5 0 0 NFP cord-283985-8mdnkegz 121 6 < < XX cord-283985-8mdnkegz 121 7 1 1 CD cord-283985-8mdnkegz 121 8 or or CC cord-283985-8mdnkegz 121 9 ℛ ℛ NN cord-283985-8mdnkegz 121 10 0 0 CD cord-283985-8mdnkegz 121 11 = = SYM cord-283985-8mdnkegz 121 12 1 1 CD cord-283985-8mdnkegz 121 13 , , , cord-283985-8mdnkegz 121 14 the the DT cord-283985-8mdnkegz 121 15 largest large JJS cord-283985-8mdnkegz 121 16 invariant invariant JJ cord-283985-8mdnkegz 121 17 set set NN cord-283985-8mdnkegz 121 18 on on IN cord-283985-8mdnkegz 121 19 which which WDT cord-283985-8mdnkegz 121 20 dℒ dℒ NN cord-283985-8mdnkegz 121 21 0 0 CD cord-283985-8mdnkegz 121 22 dt dt NN cord-283985-8mdnkegz 121 23 = = NN cord-283985-8mdnkegz 121 24 0 0 NFP cord-283985-8mdnkegz 121 25 always always RB cord-283985-8mdnkegz 121 26 consists consist VBZ cord-283985-8mdnkegz 121 27 of of IN cord-283985-8mdnkegz 121 28 the the DT cord-283985-8mdnkegz 121 29 singleton singleton NNP cord-283985-8mdnkegz 121 30 X X NNP cord-283985-8mdnkegz 121 31 0 0 CD cord-283985-8mdnkegz 121 32 = = NFP cord-283985-8mdnkegz 121 33 ( ( -LRB- cord-283985-8mdnkegz 121 34 S S NNP cord-283985-8mdnkegz 121 35 0 0 CD cord-283985-8mdnkegz 121 36 , , , cord-283985-8mdnkegz 121 37 0 0 CD cord-283985-8mdnkegz 121 38 , , , cord-283985-8mdnkegz 121 39 0 0 CD cord-283985-8mdnkegz 121 40 , , , cord-283985-8mdnkegz 121 41 0 0 CD cord-283985-8mdnkegz 121 42 , , , cord-283985-8mdnkegz 121 43 0 0 CD cord-283985-8mdnkegz 121 44 ) ) -RRB- cord-283985-8mdnkegz 121 45 . . . cord-283985-8mdnkegz 122 1 By by IN cord-283985-8mdnkegz 122 2 LaSalle LaSalle NNP cord-283985-8mdnkegz 122 3 's 's POS cord-283985-8mdnkegz 122 4 Invariant Invariant NNP cord-283985-8mdnkegz 122 5 Principle Principle NNP cord-283985-8mdnkegz 122 6 [ [ -LRB- cord-283985-8mdnkegz 122 7 22 22 CD cord-283985-8mdnkegz 122 8 ] ] -RRB- cord-283985-8mdnkegz 122 9 , , , cord-283985-8mdnkegz 122 10 the the DT cord-283985-8mdnkegz 122 11 DFE DFE NNP cord-283985-8mdnkegz 122 12 is be VBZ cord-283985-8mdnkegz 122 13 globally globally RB cord-283985-8mdnkegz 122 14 asymptotically asymptotically RB cord-283985-8mdnkegz 122 15 stable stable JJ cord-283985-8mdnkegz 122 16 in in IN cord-283985-8mdnkegz 122 17 Ω ω NN cord-283985-8mdnkegz 122 18 if if IN cord-283985-8mdnkegz 122 19 ℛ ℛ NN cord-283985-8mdnkegz 122 20 0 0 CD cord-283985-8mdnkegz 122 21 ≤ ≤ NN cord-283985-8mdnkegz 122 22 1 1 CD cord-283985-8mdnkegz 122 23 . . . cord-283985-8mdnkegz 123 1 In in IN cord-283985-8mdnkegz 123 2 contrast contrast NN cord-283985-8mdnkegz 123 3 , , , cord-283985-8mdnkegz 123 4 if if IN cord-283985-8mdnkegz 123 5 ℛ ℛ NN cord-283985-8mdnkegz 123 6 0 0 CD cord-283985-8mdnkegz 123 7 > > SYM cord-283985-8mdnkegz 123 8 1 1 CD cord-283985-8mdnkegz 123 9 , , , cord-283985-8mdnkegz 123 10 then then RB cord-283985-8mdnkegz 123 11 it -PRON- PRP cord-283985-8mdnkegz 123 12 follows follow VBZ cord-283985-8mdnkegz 123 13 from from IN cord-283985-8mdnkegz 123 14 the the DT cord-283985-8mdnkegz 123 15 continuity continuity NN cord-283985-8mdnkegz 123 16 of of IN cord-283985-8mdnkegz 123 17 the the DT cord-283985-8mdnkegz 123 18 vector vector NN cord-283985-8mdnkegz 123 19 fields field NNS cord-283985-8mdnkegz 123 20 that that WDT cord-283985-8mdnkegz 123 21 dℒ dℒ NN cord-283985-8mdnkegz 123 22 0 0 CD cord-283985-8mdnkegz 123 23 dt dt NN cord-283985-8mdnkegz 123 24 > > XX cord-283985-8mdnkegz 123 25 0 0 CD cord-283985-8mdnkegz 123 26 in in IN cord-283985-8mdnkegz 123 27 a a DT cord-283985-8mdnkegz 123 28 neighborhood neighborhood NN cord-283985-8mdnkegz 123 29 of of IN cord-283985-8mdnkegz 123 30 the the DT cord-283985-8mdnkegz 123 31 DFE DFE NNP cord-283985-8mdnkegz 123 32 in in IN cord-283985-8mdnkegz 123 33 Ω Ω NNP cord-283985-8mdnkegz 123 34 ° ° NN cord-283985-8mdnkegz 123 35 . . . cord-283985-8mdnkegz 124 1 Thus thus RB cord-283985-8mdnkegz 124 2 the the DT cord-283985-8mdnkegz 124 3 DFE DFE NNP cord-283985-8mdnkegz 124 4 is be VBZ cord-283985-8mdnkegz 124 5 unstable unstable JJ cord-283985-8mdnkegz 124 6 by by IN cord-283985-8mdnkegz 124 7 the the DT cord-283985-8mdnkegz 124 8 Lyapunov Lyapunov NNP cord-283985-8mdnkegz 124 9 stability stability NN cord-283985-8mdnkegz 124 10 theory theory NN cord-283985-8mdnkegz 124 11 . . . cord-283985-8mdnkegz 125 1 The the DT cord-283985-8mdnkegz 125 2 last last JJ cord-283985-8mdnkegz 125 3 part part NN cord-283985-8mdnkegz 125 4 of of IN cord-283985-8mdnkegz 125 5 the the DT cord-283985-8mdnkegz 125 6 theorem theorem NN cord-283985-8mdnkegz 125 7 can can MD cord-283985-8mdnkegz 125 8 be be VB cord-283985-8mdnkegz 125 9 proved prove VBN cord-283985-8mdnkegz 125 10 by by IN cord-283985-8mdnkegz 125 11 the the DT cord-283985-8mdnkegz 125 12 persistent persistent JJ cord-283985-8mdnkegz 125 13 theory theory NN cord-283985-8mdnkegz 125 14 [ [ -LRB- cord-283985-8mdnkegz 125 15 23 23 CD cord-283985-8mdnkegz 125 16 ] ] -RRB- cord-283985-8mdnkegz 125 17 which which WDT cord-283985-8mdnkegz 125 18 is be VBZ cord-283985-8mdnkegz 125 19 similar similar JJ cord-283985-8mdnkegz 125 20 to to IN cord-283985-8mdnkegz 125 21 the the DT cord-283985-8mdnkegz 125 22 proof proof NN cord-283985-8mdnkegz 125 23 of of IN cord-283985-8mdnkegz 125 24 Theorem Theorem NNP cord-283985-8mdnkegz 125 25 2.5 2.5 CD cord-283985-8mdnkegz 125 26 in in IN cord-283985-8mdnkegz 125 27 Gao Gao NNP cord-283985-8mdnkegz 125 28 and and CC cord-283985-8mdnkegz 125 29 Ruan Ruan NNP cord-283985-8mdnkegz 125 30 [ [ -LRB- cord-283985-8mdnkegz 125 31 24 24 CD cord-283985-8mdnkegz 125 32 ] ] -RRB- cord-283985-8mdnkegz 125 33 . . . cord-283985-8mdnkegz 126 1 □ □ NFP cord-283985-8mdnkegz 126 2 In in IN cord-283985-8mdnkegz 126 3 addition addition NN cord-283985-8mdnkegz 126 4 , , , cord-283985-8mdnkegz 126 5 we -PRON- PRP cord-283985-8mdnkegz 126 6 have have VBP cord-283985-8mdnkegz 126 7 conducted conduct VBN cord-283985-8mdnkegz 126 8 an an DT cord-283985-8mdnkegz 126 9 analysis analysis NN cord-283985-8mdnkegz 126 10 on on IN cord-283985-8mdnkegz 126 11 the the DT cord-283985-8mdnkegz 126 12 global global JJ cord-283985-8mdnkegz 126 13 asymptotic asymptotic JJ cord-283985-8mdnkegz 126 14 stability stability NN cord-283985-8mdnkegz 126 15 of of IN cord-283985-8mdnkegz 126 16 the the DT cord-283985-8mdnkegz 126 17 endemic endemic JJ cord-283985-8mdnkegz 126 18 equilibrium equilibrium NN cord-283985-8mdnkegz 126 19 [ [ -LRB- cord-283985-8mdnkegz 126 20 25 25 CD cord-283985-8mdnkegz 126 21 , , , cord-283985-8mdnkegz 126 22 26 26 CD cord-283985-8mdnkegz 126 23 ] ] -RRB- cord-283985-8mdnkegz 126 24 , , , cord-283985-8mdnkegz 126 25 and and CC cord-283985-8mdnkegz 126 26 the the DT cord-283985-8mdnkegz 126 27 details detail NNS cord-283985-8mdnkegz 126 28 are be VBP cord-283985-8mdnkegz 126 29 presented present VBN cord-283985-8mdnkegz 126 30 in in IN cord-283985-8mdnkegz 126 31 the the DT cord-283985-8mdnkegz 126 32 following following JJ cord-283985-8mdnkegz 126 33 theorem theorem NN cord-283985-8mdnkegz 126 34 . . . cord-283985-8mdnkegz 127 1 Essentially essentially RB cord-283985-8mdnkegz 127 2 , , , cord-283985-8mdnkegz 127 3 these these DT cord-283985-8mdnkegz 127 4 stability stability NN cord-283985-8mdnkegz 127 5 results result NNS cord-283985-8mdnkegz 127 6 establish establish VBP cord-283985-8mdnkegz 127 7 ℛ ℛ NN cord-283985-8mdnkegz 127 8 0 0 CD cord-283985-8mdnkegz 127 9 = = SYM cord-283985-8mdnkegz 127 10 1 1 CD cord-283985-8mdnkegz 127 11 as as IN cord-283985-8mdnkegz 127 12 a a DT cord-283985-8mdnkegz 127 13 forward forward JJ cord-283985-8mdnkegz 127 14 transcritical transcritical JJ cord-283985-8mdnkegz 127 15 bifurcation bifurcation NN cord-283985-8mdnkegz 127 16 point point NN cord-283985-8mdnkegz 127 17 , , , cord-283985-8mdnkegz 127 18 or or CC cord-283985-8mdnkegz 127 19 , , , cord-283985-8mdnkegz 127 20 a a DT cord-283985-8mdnkegz 127 21 sharp sharp JJ cord-283985-8mdnkegz 127 22 threshold threshold NN cord-283985-8mdnkegz 127 23 for for IN cord-283985-8mdnkegz 127 24 disease disease NN cord-283985-8mdnkegz 127 25 dynamics dynamic NNS cord-283985-8mdnkegz 127 26 , , , cord-283985-8mdnkegz 127 27 and and CC cord-283985-8mdnkegz 127 28 indicate indicate VBP cord-283985-8mdnkegz 127 29 that that IN cord-283985-8mdnkegz 127 30 reducing reduce VBG cord-283985-8mdnkegz 127 31 ℛ ℛ NN cord-283985-8mdnkegz 127 32 0 0 CD cord-283985-8mdnkegz 127 33 to to IN cord-283985-8mdnkegz 127 34 values value NNS cord-283985-8mdnkegz 127 35 at at IN cord-283985-8mdnkegz 127 36 or or CC cord-283985-8mdnkegz 127 37 below below IN cord-283985-8mdnkegz 127 38 unity unity NN cord-283985-8mdnkegz 127 39 will will MD cord-283985-8mdnkegz 127 40 be be VB cord-283985-8mdnkegz 127 41 sufficient sufficient JJ cord-283985-8mdnkegz 127 42 to to TO cord-283985-8mdnkegz 127 43 eradicate eradicate VB cord-283985-8mdnkegz 127 44 the the DT cord-283985-8mdnkegz 127 45 disease disease NN cord-283985-8mdnkegz 127 46 . . . cord-283985-8mdnkegz 128 1 In in IN cord-283985-8mdnkegz 128 2 other other JJ cord-283985-8mdnkegz 128 3 words word NNS cord-283985-8mdnkegz 128 4 , , , cord-283985-8mdnkegz 128 5 our -PRON- PRP$ cord-283985-8mdnkegz 128 6 model model NN cord-283985-8mdnkegz 128 7 ( ( -LRB- cord-283985-8mdnkegz 128 8 2.1 2.1 CD cord-283985-8mdnkegz 128 9 ) ) -RRB- cord-283985-8mdnkegz 128 10 exhibits exhibit VBZ cord-283985-8mdnkegz 128 11 regular regular JJ cord-283985-8mdnkegz 128 12 threshold threshold NN cord-283985-8mdnkegz 128 13 dynamics dynamic NNS cord-283985-8mdnkegz 128 14 . . . cord-283985-8mdnkegz 129 1 In in IN cord-283985-8mdnkegz 129 2 order order NN cord-283985-8mdnkegz 129 3 to to TO cord-283985-8mdnkegz 129 4 simplify simplify VB cord-283985-8mdnkegz 129 5 our -PRON- PRP$ cord-283985-8mdnkegz 129 6 notations notation NNS cord-283985-8mdnkegz 129 7 , , , cord-283985-8mdnkegz 129 8 we -PRON- PRP cord-283985-8mdnkegz 129 9 will will MD cord-283985-8mdnkegz 129 10 adopt adopt VB cord-283985-8mdnkegz 129 11 the the DT cord-283985-8mdnkegz 129 12 abbreviations abbreviation NNS cord-283985-8mdnkegz 129 13 _SP cord-283985-8mdnkegz 130 1 Hence hence RB cord-283985-8mdnkegz 130 2 , , , cord-283985-8mdnkegz 130 3 The the DT cord-283985-8mdnkegz 130 4 last last JJ cord-283985-8mdnkegz 130 5 inequality inequality NN cord-283985-8mdnkegz 130 6 follows follow VBZ cord-283985-8mdnkegz 130 7 from from IN cord-283985-8mdnkegz 130 8 the the DT cord-283985-8mdnkegz 130 9 assumptions assumption NNS cord-283985-8mdnkegz 130 10 that that WDT cord-283985-8mdnkegz 130 11 β β NN cord-283985-8mdnkegz 130 12 P p NN cord-283985-8mdnkegz 130 13 ( ( -LRB- cord-283985-8mdnkegz 130 14 P p NN cord-283985-8mdnkegz 130 15 ) ) -RRB- cord-283985-8mdnkegz 130 16 and and CC cord-283985-8mdnkegz 130 17 β β NN cord-283985-8mdnkegz 130 18 P P NNP cord-283985-8mdnkegz 130 19 ( ( -LRB- cord-283985-8mdnkegz 130 20 P)P P)P NNP cord-283985-8mdnkegz 130 21 , , , cord-283985-8mdnkegz 130 22 where where WRB cord-283985-8mdnkegz 130 23 P p NN cord-283985-8mdnkegz 130 24 can can MD cord-283985-8mdnkegz 130 25 represent represent VB cord-283985-8mdnkegz 130 26 E E NNP cord-283985-8mdnkegz 130 27 , , , cord-283985-8mdnkegz 130 28 I -PRON- PRP cord-283985-8mdnkegz 130 29 , , , cord-283985-8mdnkegz 130 30 or or CC cord-283985-8mdnkegz 130 31 V V NNP cord-283985-8mdnkegz 130 32 , , , cord-283985-8mdnkegz 130 33 are be VBP cord-283985-8mdnkegz 130 34 non non JJ cord-283985-8mdnkegz 130 35 - - JJ cord-283985-8mdnkegz 130 36 increasing increasing JJ cord-283985-8mdnkegz 130 37 and and CC cord-283985-8mdnkegz 130 38 non non JJ cord-283985-8mdnkegz 130 39 - - JJ cord-283985-8mdnkegz 130 40 decreasing decreasing JJ cord-283985-8mdnkegz 130 41 functions function NNS cord-283985-8mdnkegz 130 42 of of IN cord-283985-8mdnkegz 130 43 P p NN cord-283985-8mdnkegz 130 44 , , , cord-283985-8mdnkegz 130 45 respectively respectively RB cord-283985-8mdnkegz 130 46 . . . cord-283985-8mdnkegz 131 1 This this DT cord-283985-8mdnkegz 131 2 implies imply VBZ cord-283985-8mdnkegz 131 3 1 1 CD cord-283985-8mdnkegz 131 4 − − NN cord-283985-8mdnkegz 132 1 β β NN cord-283985-8mdnkegz 132 2 p p NN cord-283985-8mdnkegz 132 3 * * NFP cord-283985-8mdnkegz 132 4 β β NN cord-283985-8mdnkegz 132 5 P p NN cord-283985-8mdnkegz 132 6 ≤ ≤ NN cord-283985-8mdnkegz 133 1 0 0 NFP cord-283985-8mdnkegz 133 2 P p NN cord-283985-8mdnkegz 133 3 * * NFP cord-283985-8mdnkegz 133 4 ≤ ≤ NN cord-283985-8mdnkegz 133 5 P p NN cord-283985-8mdnkegz 133 6 β β NN cord-283985-8mdnkegz 134 1 P p NN cord-283985-8mdnkegz 134 2 P p NN cord-283985-8mdnkegz 134 3 β β NN cord-283985-8mdnkegz 134 4 p p NN cord-283985-8mdnkegz 134 5 * * NFP cord-283985-8mdnkegz 134 6 P p NN cord-283985-8mdnkegz 134 7 * * NFP cord-283985-8mdnkegz 134 8 − − NN cord-283985-8mdnkegz 134 9 1 1 CD cord-283985-8mdnkegz 134 10 ≥ ≥ CD cord-283985-8mdnkegz 134 11 0 0 CD cord-283985-8mdnkegz 134 12 . . . cord-283985-8mdnkegz 135 1 Similarly similarly RB cord-283985-8mdnkegz 135 2 , , , cord-283985-8mdnkegz 135 3 one one PRP cord-283985-8mdnkegz 135 4 can can MD cord-283985-8mdnkegz 135 5 verify verify VB cord-283985-8mdnkegz 135 6 that that DT cord-283985-8mdnkegz 135 7 Therefore therefore RB cord-283985-8mdnkegz 135 8 , , , cord-283985-8mdnkegz 135 9 X X NNP cord-283985-8mdnkegz 135 10 * * NFP cord-283985-8mdnkegz 135 11 is be VBZ cord-283985-8mdnkegz 135 12 globally globally RB cord-283985-8mdnkegz 135 13 asymptotically asymptotically RB cord-283985-8mdnkegz 135 14 stable stable JJ cord-283985-8mdnkegz 135 15 in in IN cord-283985-8mdnkegz 135 16 Ω Ω NNP cord-283985-8mdnkegz 135 17 ° ° NN cord-283985-8mdnkegz 135 18 . . . cord-283985-8mdnkegz 136 1 □ □ NFP cord-283985-8mdnkegz 136 2 We -PRON- PRP cord-283985-8mdnkegz 136 3 now now RB cord-283985-8mdnkegz 136 4 apply apply VBP cord-283985-8mdnkegz 136 5 our -PRON- PRP$ cord-283985-8mdnkegz 136 6 model model NN cord-283985-8mdnkegz 136 7 to to TO cord-283985-8mdnkegz 136 8 study study VB cord-283985-8mdnkegz 136 9 the the DT cord-283985-8mdnkegz 136 10 COVID-19 covid-19 JJ cord-283985-8mdnkegz 136 11 epidemic epidemic NN cord-283985-8mdnkegz 136 12 in in IN cord-283985-8mdnkegz 136 13 the the DT cord-283985-8mdnkegz 136 14 city city NN cord-283985-8mdnkegz 136 15 of of IN cord-283985-8mdnkegz 136 16 Wuhan Wuhan NNP cord-283985-8mdnkegz 136 17 . . . cord-283985-8mdnkegz 137 1 We -PRON- PRP cord-283985-8mdnkegz 137 2 use use VBP cord-283985-8mdnkegz 137 3 the the DT cord-283985-8mdnkegz 137 4 outbreak outbreak NN cord-283985-8mdnkegz 137 5 data datum NNS cord-283985-8mdnkegz 137 6 published publish VBN cord-283985-8mdnkegz 137 7 daily daily RB cord-283985-8mdnkegz 137 8 by by IN cord-283985-8mdnkegz 137 9 WHO WHO NNP cord-283985-8mdnkegz 137 10 and and CC cord-283985-8mdnkegz 137 11 other other JJ cord-283985-8mdnkegz 137 12 sources source NNS cord-283985-8mdnkegz 137 13 [ [ -LRB- cord-283985-8mdnkegz 137 14 7 7 CD cord-283985-8mdnkegz 137 15 , , , cord-283985-8mdnkegz 137 16 [ [ -LRB- cord-283985-8mdnkegz 137 17 27 27 CD cord-283985-8mdnkegz 137 18 ] ] -RRB- cord-283985-8mdnkegz 137 19 [ [ -LRB- cord-283985-8mdnkegz 137 20 28 28 CD cord-283985-8mdnkegz 137 21 ] ] -RRB- cord-283985-8mdnkegz 137 22 [ [ -LRB- cord-283985-8mdnkegz 137 23 29 29 CD cord-283985-8mdnkegz 137 24 ] ] -RRB- cord-283985-8mdnkegz 137 25 [ [ -LRB- cord-283985-8mdnkegz 137 26 30 30 CD cord-283985-8mdnkegz 137 27 ] ] -RRB- cord-283985-8mdnkegz 137 28 . . . cord-283985-8mdnkegz 138 1 These these DT cord-283985-8mdnkegz 138 2 data datum NNS cord-283985-8mdnkegz 138 3 sets set NNS cord-283985-8mdnkegz 138 4 contain contain VBP cord-283985-8mdnkegz 138 5 the the DT cord-283985-8mdnkegz 138 6 daily daily JJ cord-283985-8mdnkegz 138 7 reported report VBN cord-283985-8mdnkegz 138 8 new new JJ cord-283985-8mdnkegz 138 9 cases case NNS cord-283985-8mdnkegz 138 10 , , , cord-283985-8mdnkegz 138 11 cumulative cumulative JJ cord-283985-8mdnkegz 138 12 cases case NNS cord-283985-8mdnkegz 138 13 , , , cord-283985-8mdnkegz 138 14 and and CC cord-283985-8mdnkegz 138 15 disease disease NN cord-283985-8mdnkegz 138 16 - - HYPH cord-283985-8mdnkegz 138 17 caused cause VBN cord-283985-8mdnkegz 138 18 deaths death NNS cord-283985-8mdnkegz 138 19 for for IN cord-283985-8mdnkegz 138 20 the the DT cord-283985-8mdnkegz 138 21 city city NN cord-283985-8mdnkegz 138 22 of of IN cord-283985-8mdnkegz 138 23 Wuhan Wuhan NNP cord-283985-8mdnkegz 138 24 , , , cord-283985-8mdnkegz 138 25 as as RB cord-283985-8mdnkegz 138 26 well well RB cord-283985-8mdnkegz 138 27 as as IN cord-283985-8mdnkegz 138 28 each each DT cord-283985-8mdnkegz 138 29 province province NN cord-283985-8mdnkegz 138 30 in in IN cord-283985-8mdnkegz 138 31 China China NNP cord-283985-8mdnkegz 138 32 and and CC cord-283985-8mdnkegz 138 33 all all DT cord-283985-8mdnkegz 138 34 other other JJ cord-283985-8mdnkegz 138 35 countries country NNS cord-283985-8mdnkegz 138 36 that that WDT cord-283985-8mdnkegz 138 37 have have VBP cord-283985-8mdnkegz 138 38 reported report VBN cord-283985-8mdnkegz 138 39 COVID-19 covid-19 CD cord-283985-8mdnkegz 138 40 infection infection NN cord-283985-8mdnkegz 138 41 . . . cord-283985-8mdnkegz 139 1 To to TO cord-283985-8mdnkegz 139 2 conduct conduct VB cord-283985-8mdnkegz 139 3 the the DT cord-283985-8mdnkegz 139 4 numerical numerical JJ cord-283985-8mdnkegz 139 5 simulation simulation NN cord-283985-8mdnkegz 139 6 , , , cord-283985-8mdnkegz 139 7 we -PRON- PRP cord-283985-8mdnkegz 139 8 consider consider VBP cord-283985-8mdnkegz 139 9 the the DT cord-283985-8mdnkegz 139 10 following follow VBG cord-283985-8mdnkegz 139 11 functions function NNS cord-283985-8mdnkegz 139 12 for for IN cord-283985-8mdnkegz 139 13 the the DT cord-283985-8mdnkegz 139 14 three three CD cord-283985-8mdnkegz 139 15 transmission transmission NN cord-283985-8mdnkegz 139 16 rates rate NNS cord-283985-8mdnkegz 139 17 in in IN cord-283985-8mdnkegz 139 18 our -PRON- PRP$ cord-283985-8mdnkegz 139 19 model model NN cord-283985-8mdnkegz 139 20 : : : cord-283985-8mdnkegz 139 21 We -PRON- PRP cord-283985-8mdnkegz 139 22 implement implement VBP cord-283985-8mdnkegz 139 23 our -PRON- PRP$ cord-283985-8mdnkegz 139 24 model model NN cord-283985-8mdnkegz 139 25 and and CC cord-283985-8mdnkegz 139 26 conduct conduct VB cord-283985-8mdnkegz 139 27 numerical numerical JJ cord-283985-8mdnkegz 139 28 simulation simulation NN cord-283985-8mdnkegz 139 29 for for IN cord-283985-8mdnkegz 139 30 an an DT cord-283985-8mdnkegz 139 31 epidemic epidemic NN cord-283985-8mdnkegz 139 32 period period NN cord-283985-8mdnkegz 139 33 starting start VBG cord-283985-8mdnkegz 139 34 from from IN cord-283985-8mdnkegz 139 35 January January NNP cord-283985-8mdnkegz 139 36 23 23 CD cord-283985-8mdnkegz 139 37 , , , cord-283985-8mdnkegz 139 38 2020 2020 CD cord-283985-8mdnkegz 139 39 , , , cord-283985-8mdnkegz 139 40 when when WRB cord-283985-8mdnkegz 139 41 the the DT cord-283985-8mdnkegz 139 42 city city NN cord-283985-8mdnkegz 139 43 of of IN cord-283985-8mdnkegz 139 44 Wuhan Wuhan NNP cord-283985-8mdnkegz 139 45 was be VBD cord-283985-8mdnkegz 139 46 placed place VBN cord-283985-8mdnkegz 139 47 in in IN cord-283985-8mdnkegz 139 48 quarantine quarantine NN cord-283985-8mdnkegz 139 49 , , , cord-283985-8mdnkegz 139 50 to to IN cord-283985-8mdnkegz 139 51 February February NNP cord-283985-8mdnkegz 139 52 10 10 CD cord-283985-8mdnkegz 139 53 , , , cord-283985-8mdnkegz 139 54 2020 2020 CD cord-283985-8mdnkegz 139 55 . . . cord-283985-8mdnkegz 140 1 According accord VBG cord-283985-8mdnkegz 140 2 to to IN cord-283985-8mdnkegz 140 3 the the DT cord-283985-8mdnkegz 140 4 estimate estimate NN cord-283985-8mdnkegz 140 5 made make VBN cord-283985-8mdnkegz 140 6 by by IN cord-283985-8mdnkegz 140 7 the the DT cord-283985-8mdnkegz 140 8 Chinese chinese JJ cord-283985-8mdnkegz 140 9 government government NN cord-283985-8mdnkegz 140 10 , , , cord-283985-8mdnkegz 140 11 about about RB cord-283985-8mdnkegz 140 12 9 9 CD cord-283985-8mdnkegz 140 13 million million CD cord-283985-8mdnkegz 140 14 people people NNS cord-283985-8mdnkegz 140 15 remain remain VBP cord-283985-8mdnkegz 140 16 in in IN cord-283985-8mdnkegz 140 17 Wuhan Wuhan NNP cord-283985-8mdnkegz 140 18 after after IN cord-283985-8mdnkegz 140 19 January January NNP cord-283985-8mdnkegz 140 20 23 23 CD cord-283985-8mdnkegz 140 21 and and CC cord-283985-8mdnkegz 140 22 they -PRON- PRP cord-283985-8mdnkegz 140 23 are be VBP cord-283985-8mdnkegz 140 24 not not RB cord-283985-8mdnkegz 140 25 allowed allow VBN cord-283985-8mdnkegz 140 26 to to TO cord-283985-8mdnkegz 140 27 move move VB cord-283985-8mdnkegz 140 28 out out IN cord-283985-8mdnkegz 140 29 of of IN cord-283985-8mdnkegz 140 30 the the DT cord-283985-8mdnkegz 140 31 city city NN cord-283985-8mdnkegz 140 32 . . . cord-283985-8mdnkegz 141 1 Meanwhile meanwhile RB cord-283985-8mdnkegz 141 2 , , , cord-283985-8mdnkegz 141 3 only only RB cord-283985-8mdnkegz 141 4 a a DT cord-283985-8mdnkegz 141 5 relatively relatively RB cord-283985-8mdnkegz 141 6 small small JJ cord-283985-8mdnkegz 141 7 number number NN cord-283985-8mdnkegz 141 8 of of IN cord-283985-8mdnkegz 141 9 people people NNS cord-283985-8mdnkegz 141 10 ( ( -LRB- cord-283985-8mdnkegz 141 11 mainly mainly RB cord-283985-8mdnkegz 141 12 public public JJ cord-283985-8mdnkegz 141 13 health health NN cord-283985-8mdnkegz 141 14 professionals professional NNS cord-283985-8mdnkegz 141 15 ) ) -RRB- cord-283985-8mdnkegz 141 16 travel travel VBP cord-283985-8mdnkegz 141 17 into into IN cord-283985-8mdnkegz 141 18 the the DT cord-283985-8mdnkegz 141 19 city city NN cord-283985-8mdnkegz 141 20 since since IN cord-283985-8mdnkegz 141 21 its -PRON- PRP$ cord-283985-8mdnkegz 141 22 lockdown lockdown NN cord-283985-8mdnkegz 141 23 . . . cord-283985-8mdnkegz 142 1 Thus thus RB cord-283985-8mdnkegz 142 2 , , , cord-283985-8mdnkegz 142 3 the the DT cord-283985-8mdnkegz 142 4 influx influx JJ cord-283985-8mdnkegz 142 5 rate rate NN cord-283985-8mdnkegz 142 6 Λ λ NN cord-283985-8mdnkegz 142 7 in in IN cord-283985-8mdnkegz 142 8 our -PRON- PRP$ cord-283985-8mdnkegz 142 9 model model NN cord-283985-8mdnkegz 142 10 is be VBZ cord-283985-8mdnkegz 142 11 only only RB cord-283985-8mdnkegz 142 12 based base VBN cord-283985-8mdnkegz 142 13 on on IN cord-283985-8mdnkegz 142 14 newborns newborn NNS cord-283985-8mdnkegz 142 15 in in IN cord-283985-8mdnkegz 142 16 Wuhan Wuhan NNP cord-283985-8mdnkegz 142 17 . . . cord-283985-8mdnkegz 143 1 The the DT cord-283985-8mdnkegz 143 2 values value NNS cord-283985-8mdnkegz 143 3 of of IN cord-283985-8mdnkegz 143 4 the the DT cord-283985-8mdnkegz 143 5 transmission transmission NN cord-283985-8mdnkegz 143 6 constants constant NNS cord-283985-8mdnkegz 143 7 β β XX cord-283985-8mdnkegz 143 8 E0 e0 NN cord-283985-8mdnkegz 143 9 and and CC cord-283985-8mdnkegz 143 10 β β NN cord-283985-8mdnkegz 143 11 I0 i0 NN cord-283985-8mdnkegz 143 12 can can MD cord-283985-8mdnkegz 143 13 be be VB cord-283985-8mdnkegz 143 14 found find VBN cord-283985-8mdnkegz 143 15 in in IN cord-283985-8mdnkegz 143 16 a a DT cord-283985-8mdnkegz 143 17 recent recent JJ cord-283985-8mdnkegz 143 18 study study NN cord-283985-8mdnkegz 143 19 [ [ -LRB- cord-283985-8mdnkegz 143 20 13 13 CD cord-283985-8mdnkegz 143 21 ] ] -RRB- cord-283985-8mdnkegz 143 22 . . . cord-283985-8mdnkegz 144 1 The the DT cord-283985-8mdnkegz 144 2 incubation incubation NN cord-283985-8mdnkegz 144 3 period period NN cord-283985-8mdnkegz 144 4 of of IN cord-283985-8mdnkegz 144 5 the the DT cord-283985-8mdnkegz 144 6 infection infection NN cord-283985-8mdnkegz 144 7 ranges range VBZ cord-283985-8mdnkegz 144 8 between between IN cord-283985-8mdnkegz 144 9 2 2 CD cord-283985-8mdnkegz 144 10 - - SYM cord-283985-8mdnkegz 144 11 14 14 CD cord-283985-8mdnkegz 144 12 days day NNS cord-283985-8mdnkegz 144 13 , , , cord-283985-8mdnkegz 144 14 with with IN cord-283985-8mdnkegz 144 15 a a DT cord-283985-8mdnkegz 144 16 mean mean NN cord-283985-8mdnkegz 144 17 of of IN cord-283985-8mdnkegz 144 18 5 5 CD cord-283985-8mdnkegz 144 19 - - SYM cord-283985-8mdnkegz 144 20 7 7 CD cord-283985-8mdnkegz 144 21 days day NNS cord-283985-8mdnkegz 144 22 [ [ -LRB- cord-283985-8mdnkegz 144 23 31 31 CD cord-283985-8mdnkegz 144 24 ] ] -RRB- cord-283985-8mdnkegz 144 25 , , , cord-283985-8mdnkegz 144 26 and and CC cord-283985-8mdnkegz 144 27 we -PRON- PRP cord-283985-8mdnkegz 144 28 take take VBP cord-283985-8mdnkegz 144 29 the the DT cord-283985-8mdnkegz 144 30 value value NN cord-283985-8mdnkegz 144 31 of of IN cord-283985-8mdnkegz 144 32 7 7 CD cord-283985-8mdnkegz 144 33 days day NNS cord-283985-8mdnkegz 144 34 in in IN cord-283985-8mdnkegz 144 35 our -PRON- PRP$ cord-283985-8mdnkegz 144 36 model model NN cord-283985-8mdnkegz 144 37 . . . cord-283985-8mdnkegz 145 1 The the DT cord-283985-8mdnkegz 145 2 average average JJ cord-283985-8mdnkegz 145 3 recovery recovery NN cord-283985-8mdnkegz 145 4 period period NN cord-283985-8mdnkegz 145 5 is be VBZ cord-283985-8mdnkegz 145 6 about about RB cord-283985-8mdnkegz 145 7 15 15 CD cord-283985-8mdnkegz 145 8 days day NNS cord-283985-8mdnkegz 145 9 [ [ -LRB- cord-283985-8mdnkegz 145 10 31 31 CD cord-283985-8mdnkegz 145 11 ] ] -RRB- cord-283985-8mdnkegz 145 12 , , , cord-283985-8mdnkegz 145 13 and and CC cord-283985-8mdnkegz 145 14 so so RB cord-283985-8mdnkegz 145 15 we -PRON- PRP cord-283985-8mdnkegz 145 16 set set VBP cord-283985-8mdnkegz 145 17 the the DT cord-283985-8mdnkegz 145 18 disease disease NN cord-283985-8mdnkegz 145 19 recovery recovery NN cord-283985-8mdnkegz 145 20 rate rate NN cord-283985-8mdnkegz 145 21 as as IN cord-283985-8mdnkegz 145 22 γ γ NN cord-283985-8mdnkegz 145 23 = = SYM cord-283985-8mdnkegz 145 24 1/15 1/15 CD cord-283985-8mdnkegz 145 25 per per IN cord-283985-8mdnkegz 145 26 day day NN cord-283985-8mdnkegz 145 27 . . . cord-283985-8mdnkegz 146 1 Members member NNS cord-283985-8mdnkegz 146 2 of of IN cord-283985-8mdnkegz 146 3 the the DT cord-283985-8mdnkegz 146 4 coronavirus coronavirus NN cord-283985-8mdnkegz 146 5 family family NN cord-283985-8mdnkegz 146 6 can can MD cord-283985-8mdnkegz 146 7 survive survive VB cord-283985-8mdnkegz 146 8 in in IN cord-283985-8mdnkegz 146 9 the the DT cord-283985-8mdnkegz 146 10 environment environment NN cord-283985-8mdnkegz 146 11 from from IN cord-283985-8mdnkegz 146 12 a a DT cord-283985-8mdnkegz 146 13 few few JJ cord-283985-8mdnkegz 146 14 hours hour NNS cord-283985-8mdnkegz 146 15 to to IN cord-283985-8mdnkegz 146 16 several several JJ cord-283985-8mdnkegz 146 17 days day NNS cord-283985-8mdnkegz 146 18 [ [ -LRB- cord-283985-8mdnkegz 146 19 19 19 CD cord-283985-8mdnkegz 146 20 ] ] -RRB- cord-283985-8mdnkegz 146 21 , , , cord-283985-8mdnkegz 146 22 and and CC cord-283985-8mdnkegz 146 23 we -PRON- PRP cord-283985-8mdnkegz 146 24 take take VBP cord-283985-8mdnkegz 146 25 the the DT cord-283985-8mdnkegz 146 26 value value NN cord-283985-8mdnkegz 146 27 of of IN cord-283985-8mdnkegz 146 28 1 1 CD cord-283985-8mdnkegz 146 29 day day NN cord-283985-8mdnkegz 146 30 which which WDT cord-283985-8mdnkegz 146 31 results result VBZ cord-283985-8mdnkegz 146 32 in in IN cord-283985-8mdnkegz 146 33 a a DT cord-283985-8mdnkegz 146 34 virus virus NN cord-283985-8mdnkegz 146 35 removal removal NN cord-283985-8mdnkegz 146 36 rate rate NN cord-283985-8mdnkegz 147 1 σ σ NNP cord-283985-8mdnkegz 147 2 = = SYM cord-283985-8mdnkegz 147 3 1 1 CD cord-283985-8mdnkegz 147 4 per per IN cord-283985-8mdnkegz 147 5 day day NN cord-283985-8mdnkegz 147 6 . . . cord-283985-8mdnkegz 148 1 Additionally additionally RB cord-283985-8mdnkegz 148 2 , , , cord-283985-8mdnkegz 148 3 since since IN cord-283985-8mdnkegz 148 4 the the DT cord-283985-8mdnkegz 148 5 Chinese chinese JJ cord-283985-8mdnkegz 148 6 government government NN cord-283985-8mdnkegz 148 7 has have VBZ cord-283985-8mdnkegz 148 8 been be VBN cord-283985-8mdnkegz 148 9 implementing implement VBG cord-283985-8mdnkegz 148 10 a a DT cord-283985-8mdnkegz 148 11 very very RB cord-283985-8mdnkegz 148 12 strict strict JJ cord-283985-8mdnkegz 148 13 isolation isolation NN cord-283985-8mdnkegz 148 14 policy policy NN cord-283985-8mdnkegz 148 15 and and CC cord-283985-8mdnkegz 148 16 intense intense JJ cord-283985-8mdnkegz 148 17 medical medical JJ cord-283985-8mdnkegz 148 18 care care NN cord-283985-8mdnkegz 148 19 for for IN cord-283985-8mdnkegz 148 20 all all PDT cord-283985-8mdnkegz 148 21 the the DT cord-283985-8mdnkegz 148 22 confirmed confirm VBN cord-283985-8mdnkegz 148 23 cases case NNS cord-283985-8mdnkegz 148 24 , , , cord-283985-8mdnkegz 148 25 represented represent VBN cord-283985-8mdnkegz 148 26 by by IN cord-283985-8mdnkegz 148 27 I -PRON- PRP cord-283985-8mdnkegz 148 28 in in IN cord-283985-8mdnkegz 148 29 our -PRON- PRP$ cord-283985-8mdnkegz 148 30 model model NN cord-283985-8mdnkegz 148 31 , , , cord-283985-8mdnkegz 148 32 the the DT cord-283985-8mdnkegz 148 33 chance chance NN cord-283985-8mdnkegz 148 34 of of IN cord-283985-8mdnkegz 148 35 those those DT cord-283985-8mdnkegz 148 36 infected infect VBN cord-283985-8mdnkegz 148 37 individuals individual NNS cord-283985-8mdnkegz 148 38 spreading spread VBG cord-283985-8mdnkegz 148 39 the the DT cord-283985-8mdnkegz 148 40 coronavirus coronavirus NN cord-283985-8mdnkegz 148 41 to to IN cord-283985-8mdnkegz 148 42 the the DT cord-283985-8mdnkegz 148 43 environment environment NN cord-283985-8mdnkegz 148 44 connected connect VBN cord-283985-8mdnkegz 148 45 with with IN cord-283985-8mdnkegz 148 46 the the DT cord-283985-8mdnkegz 148 47 general general JJ cord-283985-8mdnkegz 148 48 public public NN cord-283985-8mdnkegz 148 49 is be VBZ cord-283985-8mdnkegz 148 50 very very RB cord-283985-8mdnkegz 148 51 low low JJ cord-283985-8mdnkegz 148 52 , , , cord-283985-8mdnkegz 148 53 and and CC cord-283985-8mdnkegz 148 54 so so RB cord-283985-8mdnkegz 148 55 we -PRON- PRP cord-283985-8mdnkegz 148 56 assume assume VBP cord-283985-8mdnkegz 148 57 the the DT cord-283985-8mdnkegz 148 58 virus virus NN cord-283985-8mdnkegz 148 59 shedding shed VBG cord-283985-8mdnkegz 148 60 rate rate NN cord-283985-8mdnkegz 148 61 from from IN cord-283985-8mdnkegz 148 62 the the DT cord-283985-8mdnkegz 148 63 infected infected JJ cord-283985-8mdnkegz 148 64 individuals individual NNS cord-283985-8mdnkegz 148 65 is be VBZ cord-283985-8mdnkegz 148 66 zero zero CD cord-283985-8mdnkegz 148 67 ; ; . cord-283985-8mdnkegz 149 1 i.e. i.e. FW cord-283985-8mdnkegz 149 2 , , , cord-283985-8mdnkegz 149 3 ξ ξ NN cord-283985-8mdnkegz 149 4 2 2 CD cord-283985-8mdnkegz 149 5 = = SYM cord-283985-8mdnkegz 149 6 0 0 CD cord-283985-8mdnkegz 149 7 . . . cord-283985-8mdnkegz 150 1 Note note VB cord-283985-8mdnkegz 150 2 that that IN cord-283985-8mdnkegz 150 3 our -PRON- PRP$ cord-283985-8mdnkegz 150 4 results result NNS cord-283985-8mdnkegz 150 5 in in IN cord-283985-8mdnkegz 150 6 Theorem Theorem NNP cord-283985-8mdnkegz 150 7 2.1 2.1 CD cord-283985-8mdnkegz 150 8 and and CC cord-283985-8mdnkegz 150 9 Theorem Theorem NNP cord-283985-8mdnkegz 150 10 2.2 2.2 CD cord-283985-8mdnkegz 150 11 still still RB cord-283985-8mdnkegz 150 12 hold hold VBP cord-283985-8mdnkegz 150 13 in in IN cord-283985-8mdnkegz 150 14 this this DT cord-283985-8mdnkegz 150 15 case case NN cord-283985-8mdnkegz 150 16 since since IN cord-283985-8mdnkegz 150 17 the the DT cord-283985-8mdnkegz 150 18 contribution contribution NN cord-283985-8mdnkegz 150 19 of of IN cord-283985-8mdnkegz 150 20 the the DT cord-283985-8mdnkegz 150 21 coronavirus coronavirus NN cord-283985-8mdnkegz 150 22 to to IN cord-283985-8mdnkegz 150 23 the the DT cord-283985-8mdnkegz 150 24 environmental environmental JJ cord-283985-8mdnkegz 150 25 reservoir reservoir NN cord-283985-8mdnkegz 150 26 remains remain VBZ cord-283985-8mdnkegz 150 27 a a DT cord-283985-8mdnkegz 150 28 positive positive JJ cord-283985-8mdnkegz 150 29 number number NN cord-283985-8mdnkegz 150 30 w w NN cord-283985-8mdnkegz 150 31 1 1 CD cord-283985-8mdnkegz 150 32 ξ ξ NN cord-283985-8mdnkegz 150 33 1 1 CD cord-283985-8mdnkegz 150 34 . . . cord-283985-8mdnkegz 151 1 These these DT cord-283985-8mdnkegz 151 2 and and CC cord-283985-8mdnkegz 151 3 other other JJ cord-283985-8mdnkegz 151 4 parameters parameter NNS cord-283985-8mdnkegz 151 5 , , , cord-283985-8mdnkegz 151 6 their -PRON- PRP$ cord-283985-8mdnkegz 151 7 values value NNS cord-283985-8mdnkegz 151 8 and and CC cord-283985-8mdnkegz 151 9 sources source NNS cord-283985-8mdnkegz 151 10 are be VBP cord-283985-8mdnkegz 151 11 provided provide VBN cord-283985-8mdnkegz 151 12 in in IN cord-283985-8mdnkegz 151 13 Table Table NNP cord-283985-8mdnkegz 151 14 1 1 CD cord-283985-8mdnkegz 151 15 . . . cord-283985-8mdnkegz 152 1 There there EX cord-283985-8mdnkegz 152 2 are be VBP cord-283985-8mdnkegz 152 3 three three CD cord-283985-8mdnkegz 152 4 parameters parameter NNS cord-283985-8mdnkegz 152 5 , , , cord-283985-8mdnkegz 152 6 however however RB cord-283985-8mdnkegz 152 7 , , , cord-283985-8mdnkegz 152 8 that that WDT cord-283985-8mdnkegz 152 9 remain remain VBP cord-283985-8mdnkegz 152 10 to to TO cord-283985-8mdnkegz 152 11 be be VB cord-283985-8mdnkegz 152 12 determined determine VBN cord-283985-8mdnkegz 152 13 : : : cord-283985-8mdnkegz 152 14 the the DT cord-283985-8mdnkegz 152 15 environment environment NN cord-283985-8mdnkegz 152 16 - - HYPH cord-283985-8mdnkegz 152 17 to to IN cord-283985-8mdnkegz 152 18 - - HYPH cord-283985-8mdnkegz 152 19 human human JJ cord-283985-8mdnkegz 152 20 transmission transmission NN cord-283985-8mdnkegz 152 21 constant constant JJ cord-283985-8mdnkegz 152 22 β β NN cord-283985-8mdnkegz 152 23 V0 v0 NN cord-283985-8mdnkegz 152 24 , , , cord-283985-8mdnkegz 152 25 the the DT cord-283985-8mdnkegz 152 26 transmission transmission NN cord-283985-8mdnkegz 152 27 adjustment adjustment NN cord-283985-8mdnkegz 152 28 coefficient coefficient NN cord-283985-8mdnkegz 152 29 c c NN cord-283985-8mdnkegz 152 30 , , , cord-283985-8mdnkegz 152 31 and and CC cord-283985-8mdnkegz 152 32 the the DT cord-283985-8mdnkegz 152 33 virus virus NN cord-283985-8mdnkegz 152 34 shedding shed VBG cord-283985-8mdnkegz 152 35 rate rate NN cord-283985-8mdnkegz 152 36 ξ ξ NNS cord-283985-8mdnkegz 152 37 1 1 CD cord-283985-8mdnkegz 152 38 by by IN cord-283985-8mdnkegz 152 39 the the DT cord-283985-8mdnkegz 152 40 exposed expose VBN cord-283985-8mdnkegz 152 41 individuals individual NNS cord-283985-8mdnkegz 152 42 . . . cord-283985-8mdnkegz 153 1 The the DT cord-283985-8mdnkegz 153 2 values value NNS cord-283985-8mdnkegz 153 3 of of IN cord-283985-8mdnkegz 153 4 these these DT cord-283985-8mdnkegz 153 5 parameters parameter NNS cord-283985-8mdnkegz 153 6 are be VBP cord-283985-8mdnkegz 153 7 not not RB cord-283985-8mdnkegz 153 8 available available JJ cord-283985-8mdnkegz 153 9 in in IN cord-283985-8mdnkegz 153 10 the the DT cord-283985-8mdnkegz 153 11 literature literature NN cord-283985-8mdnkegz 153 12 because because IN cord-283985-8mdnkegz 153 13 the the DT cord-283985-8mdnkegz 153 14 models model NNS cord-283985-8mdnkegz 153 15 published publish VBN cord-283985-8mdnkegz 153 16 thus thus RB cord-283985-8mdnkegz 153 17 far far RB cord-283985-8mdnkegz 153 18 have have VBP cord-283985-8mdnkegz 153 19 not not RB cord-283985-8mdnkegz 153 20 considered consider VBN cord-283985-8mdnkegz 153 21 the the DT cord-283985-8mdnkegz 153 22 environmental environmental JJ cord-283985-8mdnkegz 153 23 component component NN cord-283985-8mdnkegz 153 24 for for IN cord-283985-8mdnkegz 153 25 the the DT cord-283985-8mdnkegz 153 26 COVID-19 COVID-19 NNP cord-283985-8mdnkegz 153 27 infection infection NN cord-283985-8mdnkegz 153 28 , , , cord-283985-8mdnkegz 153 29 and and CC cord-283985-8mdnkegz 153 30 they -PRON- PRP cord-283985-8mdnkegz 153 31 have have VBP cord-283985-8mdnkegz 153 32 generally generally RB cord-283985-8mdnkegz 153 33 applied apply VBN cord-283985-8mdnkegz 153 34 constant constant JJ cord-283985-8mdnkegz 153 35 transmission transmission NN cord-283985-8mdnkegz 153 36 rates rate NNS cord-283985-8mdnkegz 153 37 which which WDT cord-283985-8mdnkegz 153 38 remain remain VBP cord-283985-8mdnkegz 153 39 fixed fix VBN cord-283985-8mdnkegz 153 40 in in IN cord-283985-8mdnkegz 153 41 time time NN cord-283985-8mdnkegz 153 42 . . . cord-283985-8mdnkegz 154 1 To to TO cord-283985-8mdnkegz 154 2 estimate estimate VB cord-283985-8mdnkegz 154 3 the the DT cord-283985-8mdnkegz 154 4 values value NNS cord-283985-8mdnkegz 154 5 for for IN cord-283985-8mdnkegz 154 6 these these DT cord-283985-8mdnkegz 154 7 three three CD cord-283985-8mdnkegz 154 8 parameters parameter NNS cord-283985-8mdnkegz 154 9 , , , cord-283985-8mdnkegz 154 10 similar similar JJ cord-283985-8mdnkegz 154 11 to to IN cord-283985-8mdnkegz 154 12 [ [ -LRB- cord-283985-8mdnkegz 154 13 32 32 CD cord-283985-8mdnkegz 154 14 ] ] -RRB- cord-283985-8mdnkegz 154 15 , , , cord-283985-8mdnkegz 154 16 we -PRON- PRP cord-283985-8mdnkegz 154 17 fit fit VBP cord-283985-8mdnkegz 154 18 our -PRON- PRP$ cord-283985-8mdnkegz 154 19 model model NN cord-283985-8mdnkegz 154 20 to to IN cord-283985-8mdnkegz 154 21 the the DT cord-283985-8mdnkegz 154 22 daily daily JJ cord-283985-8mdnkegz 154 23 reported report VBN cord-283985-8mdnkegz 154 24 infection infection NN cord-283985-8mdnkegz 154 25 data datum NNS cord-283985-8mdnkegz 154 26 for for IN cord-283985-8mdnkegz 154 27 Wuhan Wuhan NNP cord-283985-8mdnkegz 154 28 from from IN cord-283985-8mdnkegz 154 29 January January NNP cord-283985-8mdnkegz 154 30 23 23 CD cord-283985-8mdnkegz 154 31 to to IN cord-283985-8mdnkegz 154 32 February February NNP cord-283985-8mdnkegz 154 33 10 10 CD cord-283985-8mdnkegz 154 34 by by IN cord-283985-8mdnkegz 154 35 using use VBG cord-283985-8mdnkegz 154 36 the the DT cord-283985-8mdnkegz 154 37 standard standard JJ cord-283985-8mdnkegz 154 38 least least JJS cord-283985-8mdnkegz 154 39 squares square NNS cord-283985-8mdnkegz 154 40 method method NN cord-283985-8mdnkegz 154 41 . . . cord-283985-8mdnkegz 155 1 Based base VBN cord-283985-8mdnkegz 155 2 on on IN cord-283985-8mdnkegz 155 3 reported report VBN cord-283985-8mdnkegz 155 4 data datum NNS cord-283985-8mdnkegz 155 5 , , , cord-283985-8mdnkegz 155 6 the the DT cord-283985-8mdnkegz 155 7 initial initial JJ cord-283985-8mdnkegz 155 8 condition condition NN cord-283985-8mdnkegz 155 9 is be VBZ cord-283985-8mdnkegz 155 10 set set VBN cord-283985-8mdnkegz 155 11 as as IN cord-283985-8mdnkegz 155 12 ( ( -LRB- cord-283985-8mdnkegz 155 13 S(0 S(0 NNP cord-283985-8mdnkegz 155 14 ) ) -RRB- cord-283985-8mdnkegz 155 15 , , , cord-283985-8mdnkegz 155 16 E(0 E(0 NNP cord-283985-8mdnkegz 155 17 ) ) -RRB- cord-283985-8mdnkegz 155 18 , , , cord-283985-8mdnkegz 155 19 I(0 I(0 NNP cord-283985-8mdnkegz 155 20 ) ) -RRB- cord-283985-8mdnkegz 155 21 , , , cord-283985-8mdnkegz 155 22 R(0 R(0 NNP cord-283985-8mdnkegz 155 23 ) ) -RRB- cord-283985-8mdnkegz 155 24 , , , cord-283985-8mdnkegz 155 25 V(0 V(0 NNP cord-283985-8mdnkegz 155 26 ) ) -RRB- cord-283985-8mdnkegz 155 27 ) ) -RRB- cord-283985-8mdnkegz 155 28 = = NFP cord-283985-8mdnkegz 156 1 ( ( -LRB- cord-283985-8mdnkegz 156 2 89985051000 89985051000 CD cord-283985-8mdnkegz 156 3 , , , cord-283985-8mdnkegz 156 4 475 475 CD cord-283985-8mdnkegz 156 5 , , , cord-283985-8mdnkegz 156 6 10 10 CD cord-283985-8mdnkegz 156 7 , , , cord-283985-8mdnkegz 156 8 10000 10000 CD cord-283985-8mdnkegz 156 9 ) ) -RRB- cord-283985-8mdnkegz 156 10 [ [ -LRB- cord-283985-8mdnkegz 156 11 33 33 CD cord-283985-8mdnkegz 156 12 ] ] -RRB- cord-283985-8mdnkegz 156 13 . . . cord-283985-8mdnkegz 157 1 Figure figure NN cord-283985-8mdnkegz 157 2 1 1 CD cord-283985-8mdnkegz 157 3 shows show VBZ cord-283985-8mdnkegz 157 4 the the DT cord-283985-8mdnkegz 157 5 numbers number NNS cord-283985-8mdnkegz 157 6 of of IN cord-283985-8mdnkegz 157 7 cumulative cumulative JJ cord-283985-8mdnkegz 157 8 confirmed confirm VBN cord-283985-8mdnkegz 157 9 cases case NNS cord-283985-8mdnkegz 157 10 in in IN cord-283985-8mdnkegz 157 11 Wuhan Wuhan NNP cord-283985-8mdnkegz 157 12 during during IN cord-283985-8mdnkegz 157 13 this this DT cord-283985-8mdnkegz 157 14 period period NN cord-283985-8mdnkegz 157 15 versus versus IN cord-283985-8mdnkegz 157 16 our -PRON- PRP$ cord-283985-8mdnkegz 157 17 fitting fitting JJ cord-283985-8mdnkegz 157 18 curve curve NN cord-283985-8mdnkegz 157 19 . . . cord-283985-8mdnkegz 158 1 The the DT cord-283985-8mdnkegz 158 2 parameter parameter NN cord-283985-8mdnkegz 158 3 values value NNS cord-283985-8mdnkegz 158 4 and and CC cord-283985-8mdnkegz 158 5 their -PRON- PRP$ cord-283985-8mdnkegz 158 6 95 95 CD cord-283985-8mdnkegz 158 7 % % NN cord-283985-8mdnkegz 158 8 confidence confidence NN cord-283985-8mdnkegz 158 9 intervals interval NNS cord-283985-8mdnkegz 158 10 are be VBP cord-283985-8mdnkegz 158 11 presented present VBN cord-283985-8mdnkegz 158 12 in in IN cord-283985-8mdnkegz 158 13 Table Table NNP cord-283985-8mdnkegz 158 14 2 2 CD cord-283985-8mdnkegz 158 15 . . . cord-283985-8mdnkegz 159 1 The the DT cord-283985-8mdnkegz 159 2 normalized normalized JJ cord-283985-8mdnkegz 159 3 mean mean NN cord-283985-8mdnkegz 159 4 square square JJ cord-283985-8mdnkegz 159 5 error error NN cord-283985-8mdnkegz 159 6 ( ( -LRB- cord-283985-8mdnkegz 159 7 NMSE NMSE NNP cord-283985-8mdnkegz 159 8 ) ) -RRB- cord-283985-8mdnkegz 159 9 for for IN cord-283985-8mdnkegz 159 10 the the DT cord-283985-8mdnkegz 159 11 data datum NNS cord-283985-8mdnkegz 159 12 fitting fitting NN cord-283985-8mdnkegz 159 13 is be VBZ cord-283985-8mdnkegz 159 14 found find VBN cord-283985-8mdnkegz 159 15 as as IN cord-283985-8mdnkegz 159 16 0.0058 0.0058 CD cord-283985-8mdnkegz 159 17 . . . cord-283985-8mdnkegz 160 1 Based base VBN cord-283985-8mdnkegz 160 2 on on IN cord-283985-8mdnkegz 160 3 the the DT cord-283985-8mdnkegz 160 4 parameter parameter NN cord-283985-8mdnkegz 160 5 values value NNS cord-283985-8mdnkegz 160 6 from from IN cord-283985-8mdnkegz 160 7 data datum NNS cord-283985-8mdnkegz 160 8 fitting fitting NN cord-283985-8mdnkegz 160 9 , , , cord-283985-8mdnkegz 160 10 we -PRON- PRP cord-283985-8mdnkegz 160 11 are be VBP cord-283985-8mdnkegz 160 12 able able JJ cord-283985-8mdnkegz 160 13 to to TO cord-283985-8mdnkegz 160 14 evaluate evaluate VB cord-283985-8mdnkegz 160 15 the the DT cord-283985-8mdnkegz 160 16 basic basic JJ cord-283985-8mdnkegz 160 17 reproduction reproduction NN cord-283985-8mdnkegz 160 18 number number NN cord-283985-8mdnkegz 160 19 ℛ ℛ NN cord-283985-8mdnkegz 160 20 0 0 CD cord-283985-8mdnkegz 160 21 = = SYM cord-283985-8mdnkegz 160 22 4.25 4.25 CD cord-283985-8mdnkegz 160 23 . . . cord-283985-8mdnkegz 161 1 Specifically specifically RB cord-283985-8mdnkegz 161 2 , , , cord-283985-8mdnkegz 161 3 we -PRON- PRP cord-283985-8mdnkegz 161 4 find find VBP cord-283985-8mdnkegz 161 5 that that IN cord-283985-8mdnkegz 161 6 ℛ ℛ NN cord-283985-8mdnkegz 161 7 1 1 CD cord-283985-8mdnkegz 161 8 = = SYM cord-283985-8mdnkegz 161 9 1.959 1.959 CD cord-283985-8mdnkegz 161 10 , , , cord-283985-8mdnkegz 161 11 ℛ ℛ NN cord-283985-8mdnkegz 161 12 2 2 CD cord-283985-8mdnkegz 161 13 = = SYM cord-283985-8mdnkegz 161 14 0.789 0.789 CD cord-283985-8mdnkegz 161 15 , , , cord-283985-8mdnkegz 161 16 ℛ ℛ NN cord-283985-8mdnkegz 161 17 3 3 CD cord-283985-8mdnkegz 161 18 = = SYM cord-283985-8mdnkegz 161 19 1.497 1.497 CD cord-283985-8mdnkegz 161 20 , , , cord-283985-8mdnkegz 161 21 which which WDT cord-283985-8mdnkegz 161 22 quantify quantify VBP cord-283985-8mdnkegz 161 23 the the DT cord-283985-8mdnkegz 161 24 infection infection NN cord-283985-8mdnkegz 161 25 risk risk NN cord-283985-8mdnkegz 161 26 from from IN cord-283985-8mdnkegz 161 27 each each DT cord-283985-8mdnkegz 161 28 of of IN cord-283985-8mdnkegz 161 29 the the DT cord-283985-8mdnkegz 161 30 three three CD cord-283985-8mdnkegz 161 31 transmission transmission NN cord-283985-8mdnkegz 161 32 routes route NNS cord-283985-8mdnkegz 161 33 . . . cord-283985-8mdnkegz 162 1 Among among IN cord-283985-8mdnkegz 162 2 these these DT cord-283985-8mdnkegz 162 3 three three CD cord-283985-8mdnkegz 162 4 components component NNS cord-283985-8mdnkegz 162 5 , , , cord-283985-8mdnkegz 162 6 the the DT cord-283985-8mdnkegz 162 7 largest large JJS cord-283985-8mdnkegz 162 8 one one CD cord-283985-8mdnkegz 162 9 ℛ ℛ NN cord-283985-8mdnkegz 162 10 1 1 CD cord-283985-8mdnkegz 162 11 comes come VBZ cord-283985-8mdnkegz 162 12 from from IN cord-283985-8mdnkegz 162 13 the the DT cord-283985-8mdnkegz 162 14 exposed expose VBN cord-283985-8mdnkegz 162 15 - - HYPH cord-283985-8mdnkegz 162 16 to to IN cord-283985-8mdnkegz 162 17 - - HYPH cord-283985-8mdnkegz 162 18 susceptible susceptible JJ cord-283985-8mdnkegz 162 19 transmission transmission NN cord-283985-8mdnkegz 162 20 , , , cord-283985-8mdnkegz 162 21 since since IN cord-283985-8mdnkegz 162 22 exposed expose VBN cord-283985-8mdnkegz 162 23 individuals individual NNS cord-283985-8mdnkegz 162 24 show show VBP cord-283985-8mdnkegz 162 25 no no DT cord-283985-8mdnkegz 162 26 symptoms symptom NNS cord-283985-8mdnkegz 162 27 and and CC cord-283985-8mdnkegz 162 28 can can MD cord-283985-8mdnkegz 162 29 easily easily RB cord-283985-8mdnkegz 162 30 spread spread VB cord-283985-8mdnkegz 162 31 the the DT cord-283985-8mdnkegz 162 32 infection infection NN cord-283985-8mdnkegz 162 33 to to IN cord-283985-8mdnkegz 162 34 other other JJ cord-283985-8mdnkegz 162 35 people people NNS cord-283985-8mdnkegz 162 36 with with IN cord-283985-8mdnkegz 162 37 close close JJ cord-283985-8mdnkegz 162 38 contact contact NN cord-283985-8mdnkegz 162 39 , , , cord-283985-8mdnkegz 162 40 often often RB cord-283985-8mdnkegz 162 41 in in IN cord-283985-8mdnkegz 162 42 an an DT cord-283985-8mdnkegz 162 43 unconscious unconscious JJ cord-283985-8mdnkegz 162 44 manner manner NN cord-283985-8mdnkegz 162 45 . . . cord-283985-8mdnkegz 163 1 Meanwhile meanwhile RB cord-283985-8mdnkegz 163 2 , , , cord-283985-8mdnkegz 163 3 the the DT cord-283985-8mdnkegz 163 4 smallest small JJS cord-283985-8mdnkegz 163 5 component component NN cord-283985-8mdnkegz 163 6 ℛ ℛ NN cord-283985-8mdnkegz 163 7 2 2 CD cord-283985-8mdnkegz 163 8 comes come VBZ cord-283985-8mdnkegz 163 9 from from IN cord-283985-8mdnkegz 163 10 the the DT cord-283985-8mdnkegz 163 11 infected infect VBN cord-283985-8mdnkegz 163 12 - - HYPH cord-283985-8mdnkegz 163 13 to to IN cord-283985-8mdnkegz 163 14 - - HYPH cord-283985-8mdnkegz 163 15 susceptible susceptible JJ cord-283985-8mdnkegz 163 16 transmission transmission NN cord-283985-8mdnkegz 163 17 , , , cord-283985-8mdnkegz 163 18 possibly possibly RB cord-283985-8mdnkegz 163 19 due due IN cord-283985-8mdnkegz 163 20 to to IN cord-283985-8mdnkegz 163 21 the the DT cord-283985-8mdnkegz 163 22 strict strict JJ cord-283985-8mdnkegz 163 23 isolation isolation NN cord-283985-8mdnkegz 163 24 policy policy NN cord-283985-8mdnkegz 163 25 on on IN cord-283985-8mdnkegz 163 26 the the DT cord-283985-8mdnkegz 163 27 symptomatic symptomatic JJ cord-283985-8mdnkegz 163 28 infected infected JJ cord-283985-8mdnkegz 163 29 individuals individual NNS cord-283985-8mdnkegz 163 30 . . . cord-283985-8mdnkegz 164 1 In in IN cord-283985-8mdnkegz 164 2 addition addition NN cord-283985-8mdnkegz 164 3 , , , cord-283985-8mdnkegz 164 4 we -PRON- PRP cord-283985-8mdnkegz 164 5 observe observe VBP cord-283985-8mdnkegz 164 6 that that IN cord-283985-8mdnkegz 164 7 ℛ ℛ NN cord-283985-8mdnkegz 164 8 3 3 CD cord-283985-8mdnkegz 164 9 = = SYM cord-283985-8mdnkegz 164 10 1.497 1.497 CD cord-283985-8mdnkegz 164 11 , , , cord-283985-8mdnkegz 164 12 showing show VBG cord-283985-8mdnkegz 164 13 a a DT cord-283985-8mdnkegz 164 14 significant significant JJ cord-283985-8mdnkegz 164 15 contribution contribution NN cord-283985-8mdnkegz 164 16 from from IN cord-283985-8mdnkegz 164 17 the the DT cord-283985-8mdnkegz 164 18 environmental environmental JJ cord-283985-8mdnkegz 164 19 reservoir reservoir NN cord-283985-8mdnkegz 164 20 toward toward IN cord-283985-8mdnkegz 164 21 the the DT cord-283985-8mdnkegz 164 22 overall overall JJ cord-283985-8mdnkegz 164 23 infection infection NN cord-283985-8mdnkegz 164 24 risk risk NN cord-283985-8mdnkegz 164 25 . . . cord-283985-8mdnkegz 165 1 Figure figure NN cord-283985-8mdnkegz 165 2 2 2 CD cord-283985-8mdnkegz 165 3 displays display VBZ cord-283985-8mdnkegz 165 4 a a DT cord-283985-8mdnkegz 165 5 short short JJ cord-283985-8mdnkegz 165 6 - - HYPH cord-283985-8mdnkegz 165 7 term term NN cord-283985-8mdnkegz 165 8 prediction prediction NN cord-283985-8mdnkegz 165 9 for for IN cord-283985-8mdnkegz 165 10 I -PRON- PRP cord-283985-8mdnkegz 165 11 ( ( -LRB- cord-283985-8mdnkegz 165 12 the the DT cord-283985-8mdnkegz 165 13 infected infected JJ cord-283985-8mdnkegz 165 14 individuals individual NNS cord-283985-8mdnkegz 165 15 ) ) -RRB- cord-283985-8mdnkegz 165 16 and and CC cord-283985-8mdnkegz 165 17 E e LS cord-283985-8mdnkegz 165 18 ( ( -LRB- cord-283985-8mdnkegz 165 19 the the DT cord-283985-8mdnkegz 165 20 exposed expose VBN cord-283985-8mdnkegz 165 21 individuals individual NNS cord-283985-8mdnkegz 165 22 ) ) -RRB- cord-283985-8mdnkegz 165 23 in in IN cord-283985-8mdnkegz 165 24 Wuhan Wuhan NNP cord-283985-8mdnkegz 165 25 using use VBG cord-283985-8mdnkegz 165 26 our -PRON- PRP$ cord-283985-8mdnkegz 165 27 model model NN cord-283985-8mdnkegz 165 28 . . . cord-283985-8mdnkegz 166 1 It -PRON- PRP cord-283985-8mdnkegz 166 2 shows show VBZ cord-283985-8mdnkegz 166 3 that that IN cord-283985-8mdnkegz 166 4 the the DT cord-283985-8mdnkegz 166 5 infection infection NN cord-283985-8mdnkegz 166 6 level level NN cord-283985-8mdnkegz 166 7 , , , cord-283985-8mdnkegz 166 8 starting start VBG cord-283985-8mdnkegz 166 9 from from IN cord-283985-8mdnkegz 166 10 January January NNP cord-283985-8mdnkegz 166 11 23 23 CD cord-283985-8mdnkegz 166 12 ( ( -LRB- cord-283985-8mdnkegz 166 13 marked mark VBN cord-283985-8mdnkegz 166 14 as as IN cord-283985-8mdnkegz 166 15 day day NN cord-283985-8mdnkegz 166 16 0 0 NFP cord-283985-8mdnkegz 166 17 in in IN cord-283985-8mdnkegz 166 18 our -PRON- PRP$ cord-283985-8mdnkegz 166 19 simulation simulation NN cord-283985-8mdnkegz 166 20 ) ) -RRB- cord-283985-8mdnkegz 166 21 , , , cord-283985-8mdnkegz 166 22 would would MD cord-283985-8mdnkegz 166 23 continue continue VB cord-283985-8mdnkegz 166 24 increasing increase VBG cord-283985-8mdnkegz 166 25 for for IN cord-283985-8mdnkegz 166 26 about about RB cord-283985-8mdnkegz 166 27 80 80 CD cord-283985-8mdnkegz 166 28 days day NNS cord-283985-8mdnkegz 166 29 , , , cord-283985-8mdnkegz 166 30 reach reach VB cord-283985-8mdnkegz 166 31 a a DT cord-283985-8mdnkegz 166 32 peak peak NN cord-283985-8mdnkegz 166 33 value value NN cord-283985-8mdnkegz 166 34 around around IN cord-283985-8mdnkegz 166 35 45,000 45,000 CD cord-283985-8mdnkegz 166 36 infections infection NNS cord-283985-8mdnkegz 166 37 , , , cord-283985-8mdnkegz 166 38 and and CC cord-283985-8mdnkegz 166 39 then then RB cord-283985-8mdnkegz 166 40 gradually gradually RB cord-283985-8mdnkegz 166 41 go go VB cord-283985-8mdnkegz 166 42 down down RB cord-283985-8mdnkegz 166 43 afterwards afterwards RB cord-283985-8mdnkegz 166 44 . . . cord-283985-8mdnkegz 167 1 Meanwhile meanwhile RB cord-283985-8mdnkegz 167 2 , , , cord-283985-8mdnkegz 167 3 the the DT cord-283985-8mdnkegz 167 4 long long JJ cord-283985-8mdnkegz 167 5 - - HYPH cord-283985-8mdnkegz 167 6 term term NN cord-283985-8mdnkegz 167 7 behavior behavior NN cord-283985-8mdnkegz 167 8 of of IN cord-283985-8mdnkegz 167 9 the the DT cord-283985-8mdnkegz 167 10 epidemic epidemic NN cord-283985-8mdnkegz 167 11 would would MD cord-283985-8mdnkegz 167 12 be be VB cord-283985-8mdnkegz 167 13 determined determine VBN cord-283985-8mdnkegz 167 14 by by IN cord-283985-8mdnkegz 167 15 the the DT cord-283985-8mdnkegz 167 16 property property NN cord-283985-8mdnkegz 167 17 of of IN cord-283985-8mdnkegz 167 18 the the DT cord-283985-8mdnkegz 167 19 endemic endemic JJ cord-283985-8mdnkegz 167 20 equlibrium equlibrium NN cord-283985-8mdnkegz 167 21 of of IN cord-283985-8mdnkegz 167 22 the the DT cord-283985-8mdnkegz 167 23 system system NN cord-283985-8mdnkegz 167 24 , , , cord-283985-8mdnkegz 167 25 which which WDT cord-283985-8mdnkegz 167 26 is be VBZ cord-283985-8mdnkegz 167 27 found find VBN cord-283985-8mdnkegz 167 28 as as IN cord-283985-8mdnkegz 168 1 X x NN cord-283985-8mdnkegz 168 2 * * NN cord-283985-8mdnkegz 168 3 = = NFP cord-283985-8mdnkegz 168 4 ( ( -LRB- cord-283985-8mdnkegz 168 5 2583683 2583683 CD cord-283985-8mdnkegz 168 6 , , , cord-283985-8mdnkegz 168 7 1353 1353 CD cord-283985-8mdnkegz 168 8 , , , cord-283985-8mdnkegz 168 9 2735 2735 CD cord-283985-8mdnkegz 168 10 , , , cord-283985-8mdnkegz 168 11 6528015 6528015 CD cord-283985-8mdnkegz 168 12 , , , cord-283985-8mdnkegz 168 13 3111 3111 CD cord-283985-8mdnkegz 168 14 ) ) -RRB- cord-283985-8mdnkegz 168 15 . . . cord-283985-8mdnkegz 169 1 A a DT cord-283985-8mdnkegz 169 2 phase phase NN cord-283985-8mdnkegz 169 3 portrait portrait NN cord-283985-8mdnkegz 169 4 of of IN cord-283985-8mdnkegz 169 5 I -PRON- PRP cord-283985-8mdnkegz 169 6 vs. vs. FW cord-283985-8mdnkegz 169 7 E e NN cord-283985-8mdnkegz 169 8 is be VBZ cord-283985-8mdnkegz 169 9 provided provide VBN cord-283985-8mdnkegz 169 10 in in IN cord-283985-8mdnkegz 169 11 Figure Figure NNP cord-283985-8mdnkegz 169 12 3 3 CD cord-283985-8mdnkegz 169 13 , , , cord-283985-8mdnkegz 169 14 where where WRB cord-283985-8mdnkegz 169 15 all all PDT cord-283985-8mdnkegz 169 16 the the DT cord-283985-8mdnkegz 169 17 solution solution NN cord-283985-8mdnkegz 169 18 orbits orbit NNS cord-283985-8mdnkegz 169 19 converge converge VBP cord-283985-8mdnkegz 169 20 to to IN cord-283985-8mdnkegz 169 21 the the DT cord-283985-8mdnkegz 169 22 endemic endemic JJ cord-283985-8mdnkegz 169 23 equlibrium equlibrium NN cord-283985-8mdnkegz 169 24 , , , cord-283985-8mdnkegz 169 25 illustrating illustrate VBG cord-283985-8mdnkegz 169 26 its -PRON- PRP$ cord-283985-8mdnkegz 169 27 global global JJ cord-283985-8mdnkegz 169 28 asymptotical asymptotical JJ cord-283985-8mdnkegz 169 29 stability stability NN cord-283985-8mdnkegz 169 30 that that WDT cord-283985-8mdnkegz 169 31 is be VBZ cord-283985-8mdnkegz 169 32 stated state VBN cord-283985-8mdnkegz 169 33 in in IN cord-283985-8mdnkegz 169 34 Theorem Theorem NNP cord-283985-8mdnkegz 169 35 2.2 2.2 CD cord-283985-8mdnkegz 169 36 . . . cord-283985-8mdnkegz 170 1 In in IN cord-283985-8mdnkegz 170 2 addition addition NN cord-283985-8mdnkegz 170 3 , , , cord-283985-8mdnkegz 170 4 we -PRON- PRP cord-283985-8mdnkegz 170 5 have have VBP cord-283985-8mdnkegz 170 6 performed perform VBN cord-283985-8mdnkegz 170 7 a a DT cord-283985-8mdnkegz 170 8 numerical numerical JJ cord-283985-8mdnkegz 170 9 test test NN cord-283985-8mdnkegz 170 10 using use VBG cord-283985-8mdnkegz 170 11 simple simple JJ cord-283985-8mdnkegz 170 12 , , , cord-283985-8mdnkegz 170 13 constant constant JJ cord-283985-8mdnkegz 170 14 transmission transmission NN cord-283985-8mdnkegz 170 15 rates rate NNS cord-283985-8mdnkegz 170 16 in in IN cord-283985-8mdnkegz 170 17 our -PRON- PRP$ cord-283985-8mdnkegz 170 18 model model NN cord-283985-8mdnkegz 170 19 : : : cord-283985-8mdnkegz 171 1 β β NN cord-283985-8mdnkegz 171 2 E E NNP cord-283985-8mdnkegz 171 3 ( ( -LRB- cord-283985-8mdnkegz 171 4 E e NN cord-283985-8mdnkegz 171 5 ) ) -RRB- cord-283985-8mdnkegz 171 6 = = NFP cord-283985-8mdnkegz 172 1 β β NNP cord-283985-8mdnkegz 172 2 E0 E0 NNP cord-283985-8mdnkegz 172 3 , , , cord-283985-8mdnkegz 173 1 β β FW cord-283985-8mdnkegz 173 2 I -PRON- PRP cord-283985-8mdnkegz 173 3 ( ( -LRB- cord-283985-8mdnkegz 173 4 I i NN cord-283985-8mdnkegz 173 5 ) ) -RRB- cord-283985-8mdnkegz 173 6 = = NFP cord-283985-8mdnkegz 174 1 β β NNP cord-283985-8mdnkegz 174 2 I0 I0 NNP cord-283985-8mdnkegz 174 3 , , , cord-283985-8mdnkegz 174 4 β β NN cord-283985-8mdnkegz 174 5 V v NN cord-283985-8mdnkegz 174 6 ( ( -LRB- cord-283985-8mdnkegz 174 7 V v NN cord-283985-8mdnkegz 174 8 ) ) -RRB- cord-283985-8mdnkegz 174 9 = = NFP cord-283985-8mdnkegz 175 1 β β NN cord-283985-8mdnkegz 175 2 V v NN cord-283985-8mdnkegz 175 3 0 0 CD cord-283985-8mdnkegz 175 4 , , , cord-283985-8mdnkegz 175 5 ( ( -LRB- cord-283985-8mdnkegz 175 6 3.2 3.2 CD cord-283985-8mdnkegz 175 7 ) ) -RRB- cord-283985-8mdnkegz 175 8 equivalent equivalent JJ cord-283985-8mdnkegz 175 9 to to IN cord-283985-8mdnkegz 175 10 setting set VBG cord-283985-8mdnkegz 175 11 c c NN cord-283985-8mdnkegz 175 12 = = SYM cord-283985-8mdnkegz 175 13 0 0 CD cord-283985-8mdnkegz 175 14 in in IN cord-283985-8mdnkegz 175 15 Eq Eq NNP cord-283985-8mdnkegz 175 16 ( ( -LRB- cord-283985-8mdnkegz 175 17 3.1 3.1 CD cord-283985-8mdnkegz 175 18 ) ) -RRB- cord-283985-8mdnkegz 175 19 . . . cord-283985-8mdnkegz 176 1 This this DT cord-283985-8mdnkegz 176 2 leaves leave VBZ cord-283985-8mdnkegz 176 3 two two CD cord-283985-8mdnkegz 176 4 parameters parameter NNS cord-283985-8mdnkegz 176 5 , , , cord-283985-8mdnkegz 176 6 β β NN cord-283985-8mdnkegz 176 7 V0 v0 NN cord-283985-8mdnkegz 176 8 and and CC cord-283985-8mdnkegz 176 9 ξ ξ VBZ cord-283985-8mdnkegz 176 10 1 1 CD cord-283985-8mdnkegz 176 11 , , , cord-283985-8mdnkegz 176 12 to to TO cord-283985-8mdnkegz 176 13 be be VB cord-283985-8mdnkegz 176 14 estimated estimate VBN cord-283985-8mdnkegz 176 15 by by IN cord-283985-8mdnkegz 176 16 data datum NNS cord-283985-8mdnkegz 176 17 fitting fitting JJ cord-283985-8mdnkegz 176 18 . . . cord-283985-8mdnkegz 177 1 Using use VBG cord-283985-8mdnkegz 177 2 the the DT cord-283985-8mdnkegz 177 3 same same JJ cord-283985-8mdnkegz 177 4 set set NN cord-283985-8mdnkegz 177 5 of of IN cord-283985-8mdnkegz 177 6 data datum NNS cord-283985-8mdnkegz 177 7 , , , cord-283985-8mdnkegz 177 8 we -PRON- PRP cord-283985-8mdnkegz 177 9 find find VBP cord-283985-8mdnkegz 177 10 that that IN cord-283985-8mdnkegz 177 11 ξ ξ VBZ cord-283985-8mdnkegz 177 12 1 1 CD cord-283985-8mdnkegz 177 13 ≈ ≈ CD cord-283985-8mdnkegz 177 14 4.28 4.28 CD cord-283985-8mdnkegz 177 15 with with IN cord-283985-8mdnkegz 177 16 the the DT cord-283985-8mdnkegz 177 17 95 95 CD cord-283985-8mdnkegz 177 18 % % NN cord-283985-8mdnkegz 177 19 confidence confidence NN cord-283985-8mdnkegz 177 20 interval interval NN cord-283985-8mdnkegz 177 21 ( ( -LRB- cord-283985-8mdnkegz 177 22 0 0 CD cord-283985-8mdnkegz 177 23 , , , cord-283985-8mdnkegz 177 24 15.611 15.611 CD cord-283985-8mdnkegz 177 25 ) ) -RRB- cord-283985-8mdnkegz 177 26 , , , cord-283985-8mdnkegz 177 27 and and CC cord-283985-8mdnkegz 177 28 β β NN cord-283985-8mdnkegz 177 29 V0 v0 NN cord-283985-8mdnkegz 177 30 ≈ ≈ . cord-283985-8mdnkegz 178 1 4.91 4.91 CD cord-283985-8mdnkegz 178 2 × × NN cord-283985-8mdnkegz 178 3 10 10 CD cord-283985-8mdnkegz 179 1 −10 −10 NNP cord-283985-8mdnkegz 179 2 with with IN cord-283985-8mdnkegz 179 3 the the DT cord-283985-8mdnkegz 179 4 95 95 CD cord-283985-8mdnkegz 179 5 % % NN cord-283985-8mdnkegz 179 6 confidence confidence NN cord-283985-8mdnkegz 179 7 interval interval NN cord-283985-8mdnkegz 179 8 ( ( -LRB- cord-283985-8mdnkegz 179 9 4.218 4.218 CD cord-283985-8mdnkegz 179 10 × × NN cord-283985-8mdnkegz 179 11 10 10 CD cord-283985-8mdnkegz 179 12 −10 −10 NNP cord-283985-8mdnkegz 179 13 , , , cord-283985-8mdnkegz 179 14 5.603 5.603 CD cord-283985-8mdnkegz 179 15 × × NN cord-283985-8mdnkegz 179 16 10 10 CD cord-283985-8mdnkegz 179 17 −10 −10 NNP cord-283985-8mdnkegz 179 18 ) ) -RRB- cord-283985-8mdnkegz 179 19 . . . cord-283985-8mdnkegz 180 1 The the DT cord-283985-8mdnkegz 180 2 normalized normalized JJ cord-283985-8mdnkegz 180 3 mean mean NN cord-283985-8mdnkegz 180 4 square square JJ cord-283985-8mdnkegz 180 5 error error NN cord-283985-8mdnkegz 180 6 ( ( -LRB- cord-283985-8mdnkegz 180 7 NMSE NMSE NNP cord-283985-8mdnkegz 180 8 ) ) -RRB- cord-283985-8mdnkegz 180 9 for for IN cord-283985-8mdnkegz 180 10 the the DT cord-283985-8mdnkegz 180 11 data datum NNS cord-283985-8mdnkegz 180 12 fitting fitting NN cord-283985-8mdnkegz 180 13 is be VBZ cord-283985-8mdnkegz 180 14 0.0266 0.0266 CD cord-283985-8mdnkegz 180 15 , , , cord-283985-8mdnkegz 180 16 larger large JJR cord-283985-8mdnkegz 180 17 than than IN cord-283985-8mdnkegz 180 18 that that DT cord-283985-8mdnkegz 180 19 in in IN cord-283985-8mdnkegz 180 20 the the DT cord-283985-8mdnkegz 180 21 previous previous JJ cord-283985-8mdnkegz 180 22 scenario scenario NN cord-283985-8mdnkegz 180 23 , , , cord-283985-8mdnkegz 180 24 0.0058 0.0058 CD cord-283985-8mdnkegz 180 25 . . . cord-283985-8mdnkegz 181 1 Meanwhile meanwhile RB cord-283985-8mdnkegz 181 2 , , , cord-283985-8mdnkegz 181 3 Figure figure NN cord-283985-8mdnkegz 181 4 4 4 CD cord-283985-8mdnkegz 181 5 shows show VBZ cord-283985-8mdnkegz 181 6 a a DT cord-283985-8mdnkegz 181 7 prediction prediction NN cord-283985-8mdnkegz 181 8 of of IN cord-283985-8mdnkegz 181 9 the the DT cord-283985-8mdnkegz 181 10 Wuhan Wuhan NNP cord-283985-8mdnkegz 181 11 coronavirus coronavirus NN cord-283985-8mdnkegz 181 12 outbreak outbreak NN cord-283985-8mdnkegz 181 13 size size NN cord-283985-8mdnkegz 181 14 in in IN cord-283985-8mdnkegz 181 15 this this DT cord-283985-8mdnkegz 181 16 setting setting NN cord-283985-8mdnkegz 181 17 . . . cord-283985-8mdnkegz 182 1 Compared compare VBN cord-283985-8mdnkegz 182 2 to to IN cord-283985-8mdnkegz 182 3 Figure figure NN cord-283985-8mdnkegz 182 4 2 2 CD cord-283985-8mdnkegz 182 5 , , , cord-283985-8mdnkegz 182 6 We -PRON- PRP cord-283985-8mdnkegz 182 7 now now RB cord-283985-8mdnkegz 182 8 clearly clearly RB cord-283985-8mdnkegz 182 9 observe observe VBP cord-283985-8mdnkegz 182 10 a a DT cord-283985-8mdnkegz 182 11 significantly significantly RB cord-283985-8mdnkegz 182 12 higher high JJR cord-283985-8mdnkegz 182 13 level level NN cord-283985-8mdnkegz 182 14 of of IN cord-283985-8mdnkegz 182 15 infection infection NN cord-283985-8mdnkegz 182 16 ; ; : cord-283985-8mdnkegz 182 17 particularly particularly RB cord-283985-8mdnkegz 182 18 , , , cord-283985-8mdnkegz 182 19 the the DT cord-283985-8mdnkegz 182 20 peak peak NN cord-283985-8mdnkegz 182 21 value value NN cord-283985-8mdnkegz 182 22 appears appear VBZ cord-283985-8mdnkegz 182 23 at at IN cord-283985-8mdnkegz 182 24 2.8 2.8 CD cord-283985-8mdnkegz 182 25 × × NN cord-283985-8mdnkegz 182 26 10 10 CD cord-283985-8mdnkegz 182 27 6 6 CD cord-283985-8mdnkegz 182 28 , , , cord-283985-8mdnkegz 182 29 which which WDT cord-283985-8mdnkegz 182 30 is be VBZ cord-283985-8mdnkegz 182 31 extremely extremely RB cord-283985-8mdnkegz 182 32 large large JJ cord-283985-8mdnkegz 182 33 and and CC cord-283985-8mdnkegz 182 34 clearly clearly RB cord-283985-8mdnkegz 182 35 unrealistic unrealistic JJ cord-283985-8mdnkegz 182 36 . . . cord-283985-8mdnkegz 183 1 The the DT cord-283985-8mdnkegz 183 2 result result NN cord-283985-8mdnkegz 183 3 demonstrates demonstrate VBZ cord-283985-8mdnkegz 183 4 that that IN cord-283985-8mdnkegz 183 5 using use VBG cord-283985-8mdnkegz 183 6 fixed fix VBN cord-283985-8mdnkegz 183 7 transmission transmission NN cord-283985-8mdnkegz 183 8 rates rate NNS cord-283985-8mdnkegz 183 9 , , , cord-283985-8mdnkegz 183 10 which which WDT cord-283985-8mdnkegz 183 11 do do VBP cord-283985-8mdnkegz 183 12 not not RB cord-283985-8mdnkegz 183 13 take take VB cord-283985-8mdnkegz 183 14 into into IN cord-283985-8mdnkegz 183 15 account account NN cord-283985-8mdnkegz 183 16 the the DT cord-283985-8mdnkegz 183 17 strong strong JJ cord-283985-8mdnkegz 183 18 disease disease NN cord-283985-8mdnkegz 183 19 control control NN cord-283985-8mdnkegz 183 20 measures measure NNS cord-283985-8mdnkegz 183 21 currently currently RB cord-283985-8mdnkegz 183 22 on on RB cord-283985-8mdnkegz 183 23 - - HYPH cord-283985-8mdnkegz 183 24 going going NN cord-283985-8mdnkegz 183 25 in in IN cord-283985-8mdnkegz 183 26 Wuhan Wuhan NNP cord-283985-8mdnkegz 183 27 , , , cord-283985-8mdnkegz 183 28 may may MD cord-283985-8mdnkegz 183 29 overestimate overestimate VB cord-283985-8mdnkegz 183 30 the the DT cord-283985-8mdnkegz 183 31 epidemic epidemic NN cord-283985-8mdnkegz 183 32 severity severity NN cord-283985-8mdnkegz 183 33 and and CC cord-283985-8mdnkegz 183 34 generate generate VB cord-283985-8mdnkegz 183 35 misguided misguided JJ cord-283985-8mdnkegz 183 36 information information NN cord-283985-8mdnkegz 183 37 . . . cord-283985-8mdnkegz 184 1 We -PRON- PRP cord-283985-8mdnkegz 184 2 have have VBP cord-283985-8mdnkegz 184 3 proposed propose VBN cord-283985-8mdnkegz 184 4 a a DT cord-283985-8mdnkegz 184 5 mathematical mathematical JJ cord-283985-8mdnkegz 184 6 model model NN cord-283985-8mdnkegz 184 7 to to TO cord-283985-8mdnkegz 184 8 investigate investigate VB cord-283985-8mdnkegz 184 9 the the DT cord-283985-8mdnkegz 184 10 on on RB cord-283985-8mdnkegz 184 11 - - HYPH cord-283985-8mdnkegz 184 12 going go VBG cord-283985-8mdnkegz 184 13 novel novel JJ cord-283985-8mdnkegz 184 14 coronavirus coronavirus NN cord-283985-8mdnkegz 184 15 epidemic epidemic NN cord-283985-8mdnkegz 184 16 in in IN cord-283985-8mdnkegz 184 17 Wuhan Wuhan NNP cord-283985-8mdnkegz 184 18 , , , cord-283985-8mdnkegz 184 19 China China NNP cord-283985-8mdnkegz 184 20 . . . cord-283985-8mdnkegz 185 1 There there EX cord-283985-8mdnkegz 185 2 are be VBP cord-283985-8mdnkegz 185 3 two two CD cord-283985-8mdnkegz 185 4 unique unique JJ cord-283985-8mdnkegz 185 5 features feature NNS cord-283985-8mdnkegz 185 6 in in IN cord-283985-8mdnkegz 185 7 our -PRON- PRP$ cord-283985-8mdnkegz 185 8 model model NN cord-283985-8mdnkegz 185 9 : : : cord-283985-8mdnkegz 185 10 ( ( -LRB- cord-283985-8mdnkegz 185 11 1 1 LS cord-283985-8mdnkegz 185 12 ) ) -RRB- cord-283985-8mdnkegz 185 13 the the DT cord-283985-8mdnkegz 185 14 incorporation incorporation NN cord-283985-8mdnkegz 185 15 of of IN cord-283985-8mdnkegz 185 16 an an DT cord-283985-8mdnkegz 185 17 environmental environmental JJ cord-283985-8mdnkegz 185 18 reservoir reservoir NN cord-283985-8mdnkegz 185 19 into into IN cord-283985-8mdnkegz 185 20 the the DT cord-283985-8mdnkegz 185 21 disease disease NN cord-283985-8mdnkegz 185 22 transmission transmission NN cord-283985-8mdnkegz 185 23 dynamics dynamic NNS cord-283985-8mdnkegz 185 24 , , , cord-283985-8mdnkegz 185 25 and and CC cord-283985-8mdnkegz 185 26 ( ( -LRB- cord-283985-8mdnkegz 185 27 2 2 LS cord-283985-8mdnkegz 185 28 ) ) -RRB- cord-283985-8mdnkegz 185 29 the the DT cord-283985-8mdnkegz 185 30 use use NN cord-283985-8mdnkegz 185 31 of of IN cord-283985-8mdnkegz 185 32 non non JJ cord-283985-8mdnkegz 185 33 - - JJ cord-283985-8mdnkegz 185 34 constant constant JJ cord-283985-8mdnkegz 185 35 transmission transmission NN cord-283985-8mdnkegz 185 36 rates rate NNS cord-283985-8mdnkegz 185 37 which which WDT cord-283985-8mdnkegz 185 38 change change VBP cord-283985-8mdnkegz 185 39 with with IN cord-283985-8mdnkegz 185 40 the the DT cord-283985-8mdnkegz 185 41 epidemiological epidemiological JJ cord-283985-8mdnkegz 185 42 status status NN cord-283985-8mdnkegz 185 43 and and CC cord-283985-8mdnkegz 185 44 environmental environmental JJ cord-283985-8mdnkegz 185 45 conditions condition NNS cord-283985-8mdnkegz 185 46 and and CC cord-283985-8mdnkegz 185 47 which which WDT cord-283985-8mdnkegz 185 48 reflect reflect VBP cord-283985-8mdnkegz 185 49 the the DT cord-283985-8mdnkegz 185 50 impact impact NN cord-283985-8mdnkegz 185 51 of of IN cord-283985-8mdnkegz 185 52 the the DT cord-283985-8mdnkegz 185 53 disease disease NN cord-283985-8mdnkegz 185 54 control control NN cord-283985-8mdnkegz 185 55 measures measure NNS cord-283985-8mdnkegz 185 56 implemented implement VBN cord-283985-8mdnkegz 185 57 in in IN cord-283985-8mdnkegz 185 58 Wuhan Wuhan NNP cord-283985-8mdnkegz 185 59 . . . cord-283985-8mdnkegz 186 1 We -PRON- PRP cord-283985-8mdnkegz 186 2 have have VBP cord-283985-8mdnkegz 186 3 conducted conduct VBN cord-283985-8mdnkegz 186 4 a a DT cord-283985-8mdnkegz 186 5 detailed detailed JJ cord-283985-8mdnkegz 186 6 analysis analysis NN cord-283985-8mdnkegz 186 7 of of IN cord-283985-8mdnkegz 186 8 this this DT cord-283985-8mdnkegz 186 9 model model NN cord-283985-8mdnkegz 186 10 , , , cord-283985-8mdnkegz 186 11 and and CC cord-283985-8mdnkegz 186 12 applied apply VBD cord-283985-8mdnkegz 186 13 it -PRON- PRP cord-283985-8mdnkegz 186 14 to to TO cord-283985-8mdnkegz 186 15 study study VB cord-283985-8mdnkegz 186 16 the the DT cord-283985-8mdnkegz 186 17 Wuhan Wuhan NNP cord-283985-8mdnkegz 186 18 epidemic epidemic NN cord-283985-8mdnkegz 186 19 using use VBG cord-283985-8mdnkegz 186 20 publicly publicly RB cord-283985-8mdnkegz 186 21 reported report VBN cord-283985-8mdnkegz 186 22 data datum NNS cord-283985-8mdnkegz 186 23 . . . cord-283985-8mdnkegz 187 1 The the DT cord-283985-8mdnkegz 187 2 basic basic JJ cord-283985-8mdnkegz 187 3 reproduction reproduction NN cord-283985-8mdnkegz 187 4 number number NN cord-283985-8mdnkegz 187 5 ℛ ℛ NN cord-283985-8mdnkegz 187 6 0 0 CD cord-283985-8mdnkegz 187 7 of of IN cord-283985-8mdnkegz 187 8 this this DT cord-283985-8mdnkegz 187 9 model model NN cord-283985-8mdnkegz 187 10 consists consist VBZ cord-283985-8mdnkegz 187 11 of of IN cord-283985-8mdnkegz 187 12 three three CD cord-283985-8mdnkegz 187 13 parts part NNS cord-283985-8mdnkegz 187 14 , , , cord-283985-8mdnkegz 187 15 representing represent VBG cord-283985-8mdnkegz 187 16 the the DT cord-283985-8mdnkegz 187 17 three three CD cord-283985-8mdnkegz 187 18 different different JJ cord-283985-8mdnkegz 187 19 transmission transmission NN cord-283985-8mdnkegz 187 20 routes route NNS cord-283985-8mdnkegz 187 21 ; ; , cord-283985-8mdnkegz 187 22 i.e. i.e. FW cord-283985-8mdnkegz 187 23 , , , cord-283985-8mdnkegz 187 24 from from IN cord-283985-8mdnkegz 187 25 the the DT cord-283985-8mdnkegz 187 26 exposed expose VBN cord-283985-8mdnkegz 187 27 individuals individual NNS cord-283985-8mdnkegz 187 28 , , , cord-283985-8mdnkegz 187 29 the the DT cord-283985-8mdnkegz 187 30 infected infected JJ cord-283985-8mdnkegz 187 31 individuals individual NNS cord-283985-8mdnkegz 187 32 , , , cord-283985-8mdnkegz 187 33 and and CC cord-283985-8mdnkegz 187 34 the the DT cord-283985-8mdnkegz 187 35 environmental environmental JJ cord-283985-8mdnkegz 187 36 reservoir reservoir NN cord-283985-8mdnkegz 187 37 , , , cord-283985-8mdnkegz 187 38 to to IN cord-283985-8mdnkegz 187 39 the the DT cord-283985-8mdnkegz 187 40 susceptible susceptible JJ cord-283985-8mdnkegz 187 41 individuals individual NNS cord-283985-8mdnkegz 187 42 . . . cord-283985-8mdnkegz 188 1 These these DT cord-283985-8mdnkegz 188 2 three three CD cord-283985-8mdnkegz 188 3 transmission transmission NN cord-283985-8mdnkegz 188 4 modes mode NNS cord-283985-8mdnkegz 188 5 collectively collectively RB cord-283985-8mdnkegz 188 6 shape shape VBP cord-283985-8mdnkegz 188 7 the the DT cord-283985-8mdnkegz 188 8 overall overall JJ cord-283985-8mdnkegz 188 9 disease disease NN cord-283985-8mdnkegz 188 10 risk risk NN cord-283985-8mdnkegz 188 11 of of IN cord-283985-8mdnkegz 188 12 this this DT cord-283985-8mdnkegz 188 13 epidemic epidemic NN cord-283985-8mdnkegz 188 14 , , , cord-283985-8mdnkegz 188 15 suggesting suggest VBG cord-283985-8mdnkegz 188 16 that that IN cord-283985-8mdnkegz 188 17 intervention intervention NN cord-283985-8mdnkegz 188 18 strategies strategy NNS cord-283985-8mdnkegz 188 19 should should MD cord-283985-8mdnkegz 188 20 target target VB cord-283985-8mdnkegz 188 21 all all PDT cord-283985-8mdnkegz 188 22 these these DT cord-283985-8mdnkegz 188 23 three three CD cord-283985-8mdnkegz 188 24 transmission transmission NN cord-283985-8mdnkegz 188 25 routes route NNS cord-283985-8mdnkegz 188 26 . . . cord-283985-8mdnkegz 189 1 Our -PRON- PRP$ cord-283985-8mdnkegz 189 2 equilibrium equilibrium NN cord-283985-8mdnkegz 189 3 analysis analysis NN cord-283985-8mdnkegz 189 4 of of IN cord-283985-8mdnkegz 189 5 this this DT cord-283985-8mdnkegz 189 6 model model NN cord-283985-8mdnkegz 189 7 shows show VBZ cord-283985-8mdnkegz 189 8 that that IN cord-283985-8mdnkegz 189 9 the the DT cord-283985-8mdnkegz 189 10 disease disease NN cord-283985-8mdnkegz 189 11 dynamics dynamic NNS cord-283985-8mdnkegz 189 12 exhibit exhibit VBP cord-283985-8mdnkegz 189 13 a a DT cord-283985-8mdnkegz 189 14 regular regular JJ cord-283985-8mdnkegz 189 15 threshold threshold NN cord-283985-8mdnkegz 189 16 at at IN cord-283985-8mdnkegz 189 17 ℛ ℛ NN cord-283985-8mdnkegz 189 18 0 0 CD cord-283985-8mdnkegz 189 19 = = SYM cord-283985-8mdnkegz 189 20 1 1 CD cord-283985-8mdnkegz 189 21 . . . cord-283985-8mdnkegz 190 1 We -PRON- PRP cord-283985-8mdnkegz 190 2 have have VBP cord-283985-8mdnkegz 190 3 established establish VBN cord-283985-8mdnkegz 190 4 the the DT cord-283985-8mdnkegz 190 5 global global JJ cord-283985-8mdnkegz 190 6 asymptotic asymptotic JJ cord-283985-8mdnkegz 190 7 stability stability NN cord-283985-8mdnkegz 190 8 of of IN cord-283985-8mdnkegz 190 9 the the DT cord-283985-8mdnkegz 190 10 disease disease NN cord-283985-8mdnkegz 190 11 - - HYPH cord-283985-8mdnkegz 190 12 free free JJ cord-283985-8mdnkegz 190 13 equilibrium equilibrium NN cord-283985-8mdnkegz 190 14 when when WRB cord-283985-8mdnkegz 190 15 ℛ ℛ NN cord-283985-8mdnkegz 190 16 0 0 NFP cord-283985-8mdnkegz 190 17 < < XX cord-283985-8mdnkegz 190 18 1 1 CD cord-283985-8mdnkegz 190 19 , , , cord-283985-8mdnkegz 190 20 and and CC cord-283985-8mdnkegz 190 21 the the DT cord-283985-8mdnkegz 190 22 global global JJ cord-283985-8mdnkegz 190 23 asymptotic asymptotic JJ cord-283985-8mdnkegz 190 24 stability stability NN cord-283985-8mdnkegz 190 25 of of IN cord-283985-8mdnkegz 190 26 the the DT cord-283985-8mdnkegz 190 27 endemic endemic JJ cord-283985-8mdnkegz 190 28 equilibrium equilibrium NN cord-283985-8mdnkegz 190 29 when when WRB cord-283985-8mdnkegz 190 30 ℛ ℛ NN cord-283985-8mdnkegz 190 31 0 0 NFP cord-283985-8mdnkegz 190 32 > > SYM cord-283985-8mdnkegz 190 33 1 1 CD cord-283985-8mdnkegz 190 34 . . . cord-283985-8mdnkegz 191 1 Our -PRON- PRP$ cord-283985-8mdnkegz 191 2 numerical numerical JJ cord-283985-8mdnkegz 191 3 simulation simulation NN cord-283985-8mdnkegz 191 4 results result NNS cord-283985-8mdnkegz 191 5 demonstrate demonstrate VBP cord-283985-8mdnkegz 191 6 the the DT cord-283985-8mdnkegz 191 7 application application NN cord-283985-8mdnkegz 191 8 of of IN cord-283985-8mdnkegz 191 9 our -PRON- PRP$ cord-283985-8mdnkegz 191 10 model model NN cord-283985-8mdnkegz 191 11 to to IN cord-283985-8mdnkegz 191 12 the the DT cord-283985-8mdnkegz 191 13 COVID-19 covid-19 JJ cord-283985-8mdnkegz 191 14 outbreak outbreak NN cord-283985-8mdnkegz 191 15 in in IN cord-283985-8mdnkegz 191 16 Wuhan Wuhan NNP cord-283985-8mdnkegz 191 17 . . . cord-283985-8mdnkegz 192 1 Our -PRON- PRP$ cord-283985-8mdnkegz 192 2 model model NN cord-283985-8mdnkegz 192 3 can can MD cord-283985-8mdnkegz 192 4 fit fit VB cord-283985-8mdnkegz 192 5 the the DT cord-283985-8mdnkegz 192 6 reported report VBN cord-283985-8mdnkegz 192 7 data datum NNS cord-283985-8mdnkegz 192 8 well well RB cord-283985-8mdnkegz 192 9 . . . cord-283985-8mdnkegz 193 1 Through through IN cord-283985-8mdnkegz 193 2 data datum NNS cord-283985-8mdnkegz 193 3 fitting fitting NN cord-283985-8mdnkegz 193 4 , , , cord-283985-8mdnkegz 193 5 we -PRON- PRP cord-283985-8mdnkegz 193 6 obtain obtain VBP cord-283985-8mdnkegz 193 7 an an DT cord-283985-8mdnkegz 193 8 estimate estimate NN cord-283985-8mdnkegz 193 9 of of IN cord-283985-8mdnkegz 193 10 basic basic JJ cord-283985-8mdnkegz 193 11 reproduction reproduction NN cord-283985-8mdnkegz 193 12 number number NN cord-283985-8mdnkegz 193 13 , , , cord-283985-8mdnkegz 193 14 ℛ ℛ NN cord-283985-8mdnkegz 193 15 0 0 CD cord-283985-8mdnkegz 193 16 = = SYM cord-283985-8mdnkegz 193 17 4.25 4.25 CD cord-283985-8mdnkegz 193 18 . . . cord-283985-8mdnkegz 194 1 In in IN cord-283985-8mdnkegz 194 2 particular particular JJ cord-283985-8mdnkegz 194 3 , , , cord-283985-8mdnkegz 194 4 we -PRON- PRP cord-283985-8mdnkegz 194 5 find find VBP cord-283985-8mdnkegz 194 6 that that IN cord-283985-8mdnkegz 194 7 the the DT cord-283985-8mdnkegz 194 8 contribution contribution NN cord-283985-8mdnkegz 194 9 of of IN cord-283985-8mdnkegz 194 10 the the DT cord-283985-8mdnkegz 194 11 environmental environmental JJ cord-283985-8mdnkegz 194 12 reservoir reservoir NN cord-283985-8mdnkegz 194 13 ( ( -LRB- cord-283985-8mdnkegz 194 14 measured measure VBN cord-283985-8mdnkegz 194 15 by by IN cord-283985-8mdnkegz 194 16 ℛ ℛ NN cord-283985-8mdnkegz 194 17 3 3 CD cord-283985-8mdnkegz 194 18 ) ) -RRB- cord-283985-8mdnkegz 194 19 is be VBZ cord-283985-8mdnkegz 194 20 significant significant JJ cord-283985-8mdnkegz 194 21 in in IN cord-283985-8mdnkegz 194 22 shaping shape VBG cord-283985-8mdnkegz 194 23 the the DT cord-283985-8mdnkegz 194 24 overall overall JJ cord-283985-8mdnkegz 194 25 disease disease NN cord-283985-8mdnkegz 194 26 risk risk NN cord-283985-8mdnkegz 194 27 . . . cord-283985-8mdnkegz 195 1 Our -PRON- PRP$ cord-283985-8mdnkegz 195 2 model model NN cord-283985-8mdnkegz 195 3 predicts predict VBZ cord-283985-8mdnkegz 195 4 the the DT cord-283985-8mdnkegz 195 5 appearance appearance NN cord-283985-8mdnkegz 195 6 of of IN cord-283985-8mdnkegz 195 7 an an DT cord-283985-8mdnkegz 195 8 epidemic epidemic NN cord-283985-8mdnkegz 195 9 peak peak NN cord-283985-8mdnkegz 195 10 , , , cord-283985-8mdnkegz 195 11 after after IN cord-283985-8mdnkegz 195 12 which which WDT cord-283985-8mdnkegz 195 13 the the DT cord-283985-8mdnkegz 195 14 infection infection NN cord-283985-8mdnkegz 195 15 level level NN cord-283985-8mdnkegz 195 16 would would MD cord-283985-8mdnkegz 195 17 decrease decrease VB cord-283985-8mdnkegz 195 18 and and CC cord-283985-8mdnkegz 195 19 approach approach VB cord-283985-8mdnkegz 195 20 an an DT cord-283985-8mdnkegz 195 21 endemic endemic JJ cord-283985-8mdnkegz 195 22 state state NN cord-283985-8mdnkegz 195 23 in in IN cord-283985-8mdnkegz 195 24 the the DT cord-283985-8mdnkegz 195 25 long long JJ cord-283985-8mdnkegz 195 26 run run NN cord-283985-8mdnkegz 195 27 . . . cord-283985-8mdnkegz 196 1 We -PRON- PRP cord-283985-8mdnkegz 196 2 also also RB cord-283985-8mdnkegz 196 3 find find VBP cord-283985-8mdnkegz 196 4 that that IN cord-283985-8mdnkegz 196 5 if if IN cord-283985-8mdnkegz 196 6 we -PRON- PRP cord-283985-8mdnkegz 196 7 use use VBP cord-283985-8mdnkegz 196 8 constant constant JJ cord-283985-8mdnkegz 196 9 transmission transmission NN cord-283985-8mdnkegz 196 10 rates rate NNS cord-283985-8mdnkegz 196 11 instead instead RB cord-283985-8mdnkegz 196 12 , , , cord-283985-8mdnkegz 196 13 the the DT cord-283985-8mdnkegz 196 14 model model NN cord-283985-8mdnkegz 196 15 would would MD cord-283985-8mdnkegz 196 16 predict predict VB cord-283985-8mdnkegz 196 17 a a DT cord-283985-8mdnkegz 196 18 much much RB cord-283985-8mdnkegz 196 19 higher high JJR cord-283985-8mdnkegz 196 20 and and CC cord-283985-8mdnkegz 196 21 unrealistic unrealistic JJ cord-283985-8mdnkegz 196 22 epidemic epidemic NN cord-283985-8mdnkegz 196 23 peak peak NN cord-283985-8mdnkegz 196 24 . . . cord-283985-8mdnkegz 197 1 This this DT cord-283985-8mdnkegz 197 2 is be VBZ cord-283985-8mdnkegz 197 3 caused cause VBN cord-283985-8mdnkegz 197 4 by by IN cord-283985-8mdnkegz 197 5 the the DT cord-283985-8mdnkegz 197 6 fixed fix VBN cord-283985-8mdnkegz 197 7 transmission transmission NN cord-283985-8mdnkegz 197 8 rates rate NNS cord-283985-8mdnkegz 197 9 that that WDT cord-283985-8mdnkegz 197 10 do do VBP cord-283985-8mdnkegz 197 11 not not RB cord-283985-8mdnkegz 197 12 reflect reflect VB cord-283985-8mdnkegz 197 13 the the DT cord-283985-8mdnkegz 197 14 impact impact NN cord-283985-8mdnkegz 197 15 of of IN cord-283985-8mdnkegz 197 16 on on IN cord-283985-8mdnkegz 197 17 - - HYPH cord-283985-8mdnkegz 197 18 going go VBG cord-283985-8mdnkegz 197 19 disease disease NN cord-283985-8mdnkegz 197 20 control control NN cord-283985-8mdnkegz 197 21 measures measure NNS cord-283985-8mdnkegz 197 22 . . . cord-283985-8mdnkegz 198 1 It -PRON- PRP cord-283985-8mdnkegz 198 2 is be VBZ cord-283985-8mdnkegz 198 3 an an DT cord-283985-8mdnkegz 198 4 indication indication NN cord-283985-8mdnkegz 198 5 that that IN cord-283985-8mdnkegz 198 6 using use VBG cord-283985-8mdnkegz 198 7 epidemiologically epidemiologically RB cord-283985-8mdnkegz 198 8 and and CC cord-283985-8mdnkegz 198 9 environmentally environmentally RB cord-283985-8mdnkegz 198 10 dependent dependent JJ cord-283985-8mdnkegz 198 11 transmission transmission NN cord-283985-8mdnkegz 198 12 rates rate NNS cord-283985-8mdnkegz 198 13 can can MD cord-283985-8mdnkegz 198 14 potentially potentially RB cord-283985-8mdnkegz 198 15 generate generate VB cord-283985-8mdnkegz 198 16 more more RBR cord-283985-8mdnkegz 198 17 practical practical JJ cord-283985-8mdnkegz 198 18 simulation simulation NN cord-283985-8mdnkegz 198 19 results result NNS cord-283985-8mdnkegz 198 20 . . . cord-283985-8mdnkegz 199 1 At at IN cord-283985-8mdnkegz 199 2 present present JJ cord-283985-8mdnkegz 199 3 , , , cord-283985-8mdnkegz 199 4 many many JJ cord-283985-8mdnkegz 199 5 aspects aspect NNS cord-283985-8mdnkegz 199 6 regarding regard VBG cord-283985-8mdnkegz 199 7 the the DT cord-283985-8mdnkegz 199 8 pathology pathology NN cord-283985-8mdnkegz 199 9 , , , cord-283985-8mdnkegz 199 10 ecology ecology NN cord-283985-8mdnkegz 199 11 and and CC cord-283985-8mdnkegz 199 12 epidemiology epidemiology NN cord-283985-8mdnkegz 199 13 of of IN cord-283985-8mdnkegz 199 14 the the DT cord-283985-8mdnkegz 199 15 novel novel JJ cord-283985-8mdnkegz 199 16 coronavirus coronavirus NN cord-283985-8mdnkegz 199 17 remain remain VBP cord-283985-8mdnkegz 199 18 unknown unknown JJ cord-283985-8mdnkegz 199 19 , , , cord-283985-8mdnkegz 199 20 which which WDT cord-283985-8mdnkegz 199 21 adds add VBZ cord-283985-8mdnkegz 199 22 challenges challenge NNS cord-283985-8mdnkegz 199 23 to to IN cord-283985-8mdnkegz 199 24 the the DT cord-283985-8mdnkegz 199 25 mathematical mathematical JJ cord-283985-8mdnkegz 199 26 modeling modeling NN cord-283985-8mdnkegz 199 27 . . . cord-283985-8mdnkegz 200 1 Particularly particularly RB cord-283985-8mdnkegz 200 2 , , , cord-283985-8mdnkegz 200 3 in in IN cord-283985-8mdnkegz 200 4 our -PRON- PRP$ cord-283985-8mdnkegz 200 5 current current JJ cord-283985-8mdnkegz 200 6 model model NN cord-283985-8mdnkegz 200 7 , , , cord-283985-8mdnkegz 200 8 we -PRON- PRP cord-283985-8mdnkegz 200 9 have have VBP cord-283985-8mdnkegz 200 10 employed employ VBN cord-283985-8mdnkegz 200 11 a a DT cord-283985-8mdnkegz 200 12 bilinear bilinear JJ cord-283985-8mdnkegz 200 13 incidence incidence NN cord-283985-8mdnkegz 200 14 rate rate NN cord-283985-8mdnkegz 200 15 based base VBN cord-283985-8mdnkegz 200 16 on on IN cord-283985-8mdnkegz 200 17 the the DT cord-283985-8mdnkegz 200 18 law law NN cord-283985-8mdnkegz 200 19 of of IN cord-283985-8mdnkegz 200 20 mass mass JJ cord-283985-8mdnkegz 200 21 action action NN cord-283985-8mdnkegz 200 22 to to TO cord-283985-8mdnkegz 200 23 represent represent VB cord-283985-8mdnkegz 200 24 the the DT cord-283985-8mdnkegz 200 25 environment environment NN cord-283985-8mdnkegz 200 26 - - HYPH cord-283985-8mdnkegz 200 27 to to IN cord-283985-8mdnkegz 200 28 - - HYPH cord-283985-8mdnkegz 200 29 human human JJ cord-283985-8mdnkegz 200 30 transmission transmission NN cord-283985-8mdnkegz 200 31 route route NN cord-283985-8mdnkegz 200 32 [ [ -LRB- cord-283985-8mdnkegz 200 33 34 34 CD cord-283985-8mdnkegz 200 34 ] ] -RRB- cord-283985-8mdnkegz 200 35 . . . cord-283985-8mdnkegz 201 1 Practically practically RB cord-283985-8mdnkegz 201 2 , , , cord-283985-8mdnkegz 201 3 though though RB cord-283985-8mdnkegz 201 4 , , , cord-283985-8mdnkegz 201 5 a a DT cord-283985-8mdnkegz 201 6 saturation saturation NN cord-283985-8mdnkegz 201 7 based base VBN cord-283985-8mdnkegz 201 8 incidence incidence NN cord-283985-8mdnkegz 201 9 rate rate NN cord-283985-8mdnkegz 201 10 might may MD cord-283985-8mdnkegz 201 11 better better RB cord-283985-8mdnkegz 201 12 characterize characterize VB cord-283985-8mdnkegz 201 13 the the DT cord-283985-8mdnkegz 201 14 environmental environmental JJ cord-283985-8mdnkegz 201 15 pathogen pathogen NN cord-283985-8mdnkegz 201 16 , , , cord-283985-8mdnkegz 201 17 and and CC cord-283985-8mdnkegz 201 18 we -PRON- PRP cord-283985-8mdnkegz 201 19 hope hope VBP cord-283985-8mdnkegz 201 20 to to TO cord-283985-8mdnkegz 201 21 investigate investigate VB cord-283985-8mdnkegz 201 22 it -PRON- PRP cord-283985-8mdnkegz 201 23 in in IN cord-283985-8mdnkegz 201 24 our -PRON- PRP$ cord-283985-8mdnkegz 201 25 future future JJ cord-283985-8mdnkegz 201 26 modeling modeling NN cord-283985-8mdnkegz 201 27 efforts effort NNS cord-283985-8mdnkegz 201 28 . . . cord-283985-8mdnkegz 202 1 Meanwhile meanwhile RB cord-283985-8mdnkegz 202 2 , , , cord-283985-8mdnkegz 202 3 the the DT cord-283985-8mdnkegz 202 4 transmission transmission NN cord-283985-8mdnkegz 202 5 rates rate NNS cord-283985-8mdnkegz 202 6 β β XX cord-283985-8mdnkegz 202 7 E E NNP cord-283985-8mdnkegz 202 8 and and CC cord-283985-8mdnkegz 202 9 β β NN cord-283985-8mdnkegz 202 10 V v NN cord-283985-8mdnkegz 202 11 in in IN cord-283985-8mdnkegz 202 12 our -PRON- PRP$ cord-283985-8mdnkegz 202 13 model model NN cord-283985-8mdnkegz 202 14 depend depend VB cord-283985-8mdnkegz 202 15 on on IN cord-283985-8mdnkegz 202 16 E e NN cord-283985-8mdnkegz 202 17 and and CC cord-283985-8mdnkegz 202 18 V v NN cord-283985-8mdnkegz 202 19 , , , cord-283985-8mdnkegz 202 20 respectively respectively RB cord-283985-8mdnkegz 202 21 , , , cord-283985-8mdnkegz 202 22 while while IN cord-283985-8mdnkegz 202 23 in in IN cord-283985-8mdnkegz 202 24 reality reality NN cord-283985-8mdnkegz 202 25 the the DT cord-283985-8mdnkegz 202 26 exposed expose VBN cord-283985-8mdnkegz 202 27 population population NN cord-283985-8mdnkegz 202 28 E e NN cord-283985-8mdnkegz 202 29 and and CC cord-283985-8mdnkegz 202 30 the the DT cord-283985-8mdnkegz 202 31 environmental environmental JJ cord-283985-8mdnkegz 202 32 pathogen pathogen NN cord-283985-8mdnkegz 202 33 concentration concentration NN cord-283985-8mdnkegz 202 34 V v NN cord-283985-8mdnkegz 202 35 may may MD cord-283985-8mdnkegz 202 36 be be VB cord-283985-8mdnkegz 202 37 unknown unknown JJ cord-283985-8mdnkegz 202 38 . . . cord-283985-8mdnkegz 203 1 To to TO cord-283985-8mdnkegz 203 2 better well RBR cord-283985-8mdnkegz 203 3 quantify quantify VB cord-283985-8mdnkegz 203 4 these these DT cord-283985-8mdnkegz 203 5 transmission transmission NN cord-283985-8mdnkegz 203 6 rates rate NNS cord-283985-8mdnkegz 203 7 , , , cord-283985-8mdnkegz 203 8 we -PRON- PRP cord-283985-8mdnkegz 203 9 could could MD cord-283985-8mdnkegz 203 10 instead instead RB cord-283985-8mdnkegz 203 11 assume assume VB cord-283985-8mdnkegz 203 12 that that IN cord-283985-8mdnkegz 203 13 they -PRON- PRP cord-283985-8mdnkegz 203 14 are be VBP cord-283985-8mdnkegz 203 15 functions function NNS cord-283985-8mdnkegz 203 16 of of IN cord-283985-8mdnkegz 203 17 I -PRON- PRP cord-283985-8mdnkegz 203 18 ; ; . cord-283985-8mdnkegz 204 1 i.e. i.e. FW cord-283985-8mdnkegz 204 2 , , , cord-283985-8mdnkegz 204 3 β β NN cord-283985-8mdnkegz 204 4 E e NN cord-283985-8mdnkegz 204 5 ( ( -LRB- cord-283985-8mdnkegz 204 6 I i NN cord-283985-8mdnkegz 204 7 ) ) -RRB- cord-283985-8mdnkegz 204 8 and and CC cord-283985-8mdnkegz 204 9 β β NN cord-283985-8mdnkegz 204 10 V v NN cord-283985-8mdnkegz 204 11 ( ( -LRB- cord-283985-8mdnkegz 204 12 I i NN cord-283985-8mdnkegz 204 13 ) ) -RRB- cord-283985-8mdnkegz 204 14 , , , cord-283985-8mdnkegz 204 15 since since IN cord-283985-8mdnkegz 204 16 the the DT cord-283985-8mdnkegz 204 17 infected infected JJ cord-283985-8mdnkegz 204 18 population population NN cord-283985-8mdnkegz 204 19 I -PRON- PRP cord-283985-8mdnkegz 204 20 can can MD cord-283985-8mdnkegz 204 21 be be VB cord-283985-8mdnkegz 204 22 easily easily RB cord-283985-8mdnkegz 204 23 calculated calculate VBN cord-283985-8mdnkegz 204 24 from from IN cord-283985-8mdnkegz 204 25 the the DT cord-283985-8mdnkegz 204 26 reported report VBN cord-283985-8mdnkegz 204 27 data datum NNS cord-283985-8mdnkegz 204 28 . . . cord-283985-8mdnkegz 205 1 Nevertheless nevertheless RB cord-283985-8mdnkegz 205 2 , , , cord-283985-8mdnkegz 205 3 it -PRON- PRP cord-283985-8mdnkegz 205 4 is be VBZ cord-283985-8mdnkegz 205 5 reasonable reasonable JJ cord-283985-8mdnkegz 205 6 to to TO cord-283985-8mdnkegz 205 7 assume assume VB cord-283985-8mdnkegz 205 8 that that IN cord-283985-8mdnkegz 205 9 E e NN cord-283985-8mdnkegz 205 10 and and CC cord-283985-8mdnkegz 205 11 V v NN cord-283985-8mdnkegz 205 12 are be VBP cord-283985-8mdnkegz 205 13 positively positively RB cord-283985-8mdnkegz 205 14 correlated correlate VBN cord-283985-8mdnkegz 205 15 to to IN cord-283985-8mdnkegz 205 16 I -PRON- PRP cord-283985-8mdnkegz 205 17 , , , cord-283985-8mdnkegz 205 18 and and CC cord-283985-8mdnkegz 205 19 so so RB cord-283985-8mdnkegz 205 20 the the DT cord-283985-8mdnkegz 205 21 qualitative qualitative JJ cord-283985-8mdnkegz 205 22 properties property NNS cord-283985-8mdnkegz 205 23 of of IN cord-283985-8mdnkegz 205 24 these these DT cord-283985-8mdnkegz 205 25 transmission transmission NN cord-283985-8mdnkegz 205 26 functions function NNS cord-283985-8mdnkegz 205 27 would would MD cord-283985-8mdnkegz 205 28 remain remain VB cord-283985-8mdnkegz 205 29 the the DT cord-283985-8mdnkegz 205 30 same same JJ cord-283985-8mdnkegz 205 31 under under IN cord-283985-8mdnkegz 205 32 both both DT cord-283985-8mdnkegz 205 33 formulations formulation NNS cord-283985-8mdnkegz 205 34 . . . cord-283985-8mdnkegz 206 1 Given give VBN cord-283985-8mdnkegz 206 2 the the DT cord-283985-8mdnkegz 206 3 current current JJ cord-283985-8mdnkegz 206 4 development development NN cord-283985-8mdnkegz 206 5 of of IN cord-283985-8mdnkegz 206 6 COVID-19 COVID-19 NNP cord-283985-8mdnkegz 206 7 , , , cord-283985-8mdnkegz 206 8 it -PRON- PRP cord-283985-8mdnkegz 206 9 is be VBZ cord-283985-8mdnkegz 206 10 widely widely RB cord-283985-8mdnkegz 206 11 speculated speculate VBN cord-283985-8mdnkegz 206 12 that that IN cord-283985-8mdnkegz 206 13 this this DT cord-283985-8mdnkegz 206 14 disease disease NN cord-283985-8mdnkegz 206 15 would would MD cord-283985-8mdnkegz 206 16 persist persist VB cord-283985-8mdnkegz 206 17 in in IN cord-283985-8mdnkegz 206 18 the the DT cord-283985-8mdnkegz 206 19 human human JJ cord-283985-8mdnkegz 206 20 world world NN cord-283985-8mdnkegz 206 21 and and CC cord-283985-8mdnkegz 206 22 become become VB cord-283985-8mdnkegz 206 23 endemic endemic JJ cord-283985-8mdnkegz 206 24 . . . cord-283985-8mdnkegz 207 1 Our -PRON- PRP$ cord-283985-8mdnkegz 207 2 mathematical mathematical JJ cord-283985-8mdnkegz 207 3 analysis analysis NN cord-283985-8mdnkegz 207 4 and and CC cord-283985-8mdnkegz 207 5 numerical numerical JJ cord-283985-8mdnkegz 207 6 simulation simulation NN cord-283985-8mdnkegz 207 7 results result NNS cord-283985-8mdnkegz 207 8 support support VBP cord-283985-8mdnkegz 207 9 this this DT cord-283985-8mdnkegz 207 10 speculation speculation NN cord-283985-8mdnkegz 207 11 . . . cord-283985-8mdnkegz 208 1 The the DT cord-283985-8mdnkegz 208 2 findings finding NNS cord-283985-8mdnkegz 208 3 in in IN cord-283985-8mdnkegz 208 4 this this DT cord-283985-8mdnkegz 208 5 study study NN cord-283985-8mdnkegz 208 6 imply imply VBP cord-283985-8mdnkegz 208 7 that that IN cord-283985-8mdnkegz 208 8 we -PRON- PRP cord-283985-8mdnkegz 208 9 should should MD cord-283985-8mdnkegz 208 10 be be VB cord-283985-8mdnkegz 208 11 prepared prepared JJ cord-283985-8mdnkegz 208 12 to to TO cord-283985-8mdnkegz 208 13 fight fight VB cord-283985-8mdnkegz 208 14 the the DT cord-283985-8mdnkegz 208 15 coronavirus coronavirus NN cord-283985-8mdnkegz 208 16 infection infection NN cord-283985-8mdnkegz 208 17 for for IN cord-283985-8mdnkegz 208 18 a a DT cord-283985-8mdnkegz 208 19 much much RB cord-283985-8mdnkegz 208 20 longer long JJR cord-283985-8mdnkegz 208 21 term term NN cord-283985-8mdnkegz 208 22 than than IN cord-283985-8mdnkegz 208 23 that that DT cord-283985-8mdnkegz 208 24 of of IN cord-283985-8mdnkegz 208 25 the the DT cord-283985-8mdnkegz 208 26 current current JJ cord-283985-8mdnkegz 208 27 epidemic epidemic NN cord-283985-8mdnkegz 208 28 wave wave NN cord-283985-8mdnkegz 208 29 , , , cord-283985-8mdnkegz 208 30 in in IN cord-283985-8mdnkegz 208 31 order order NN cord-283985-8mdnkegz 208 32 to to TO cord-283985-8mdnkegz 208 33 reduce reduce VB cord-283985-8mdnkegz 208 34 the the DT cord-283985-8mdnkegz 208 35 endemic endemic JJ cord-283985-8mdnkegz 208 36 burden burden NN cord-283985-8mdnkegz 208 37 and and CC cord-283985-8mdnkegz 208 38 potentially potentially RB cord-283985-8mdnkegz 208 39 eradicate eradicate VB cord-283985-8mdnkegz 208 40 the the DT cord-283985-8mdnkegz 208 41 disease disease NN cord-283985-8mdnkegz 208 42 eventually eventually RB cord-283985-8mdnkegz 208 43 . . . cord-283985-8mdnkegz 209 1 Among among IN cord-283985-8mdnkegz 209 2 other other JJ cord-283985-8mdnkegz 209 3 intervention intervention NN cord-283985-8mdnkegz 209 4 strategies strategy NNS cord-283985-8mdnkegz 209 5 , , , cord-283985-8mdnkegz 209 6 new new JJ cord-283985-8mdnkegz 209 7 vaccines vaccine NNS cord-283985-8mdnkegz 209 8 for for IN cord-283985-8mdnkegz 209 9 the the DT cord-283985-8mdnkegz 209 10 novel novel JJ cord-283985-8mdnkegz 209 11 coronavirus coronavirus NN cord-283985-8mdnkegz 209 12 , , , cord-283985-8mdnkegz 209 13 which which WDT cord-283985-8mdnkegz 209 14 are be VBP cord-283985-8mdnkegz 209 15 currently currently RB cord-283985-8mdnkegz 209 16 in in IN cord-283985-8mdnkegz 209 17 research research NN cord-283985-8mdnkegz 209 18 and and CC cord-283985-8mdnkegz 209 19 development development NN cord-283985-8mdnkegz 209 20 , , , cord-283985-8mdnkegz 209 21 could could MD cord-283985-8mdnkegz 209 22 play play VB cord-283985-8mdnkegz 209 23 an an DT cord-283985-8mdnkegz 209 24 important important JJ cord-283985-8mdnkegz 209 25 role role NN cord-283985-8mdnkegz 209 26 in in IN cord-283985-8mdnkegz 209 27 achieving achieve VBG cord-283985-8mdnkegz 209 28 that that DT cord-283985-8mdnkegz 209 29 goal goal NN cord-283985-8mdnkegz 209 30 . . . cord-283985-8mdnkegz 210 1 We -PRON- PRP cord-283985-8mdnkegz 210 2 emphasize emphasize VBP cord-283985-8mdnkegz 210 3 that that IN cord-283985-8mdnkegz 210 4 our -PRON- PRP$ cord-283985-8mdnkegz 210 5 data datum NNS cord-283985-8mdnkegz 210 6 fitting fitting NN cord-283985-8mdnkegz 210 7 is be VBZ cord-283985-8mdnkegz 210 8 based base VBN cord-283985-8mdnkegz 210 9 on on IN cord-283985-8mdnkegz 210 10 the the DT cord-283985-8mdnkegz 210 11 reported report VBN cord-283985-8mdnkegz 210 12 confirmed confirm VBN cord-283985-8mdnkegz 210 13 cases case NNS cord-283985-8mdnkegz 210 14 in in IN cord-283985-8mdnkegz 210 15 Wuhan Wuhan NNP cord-283985-8mdnkegz 210 16 from from IN cord-283985-8mdnkegz 210 17 January January NNP cord-283985-8mdnkegz 210 18 23 23 CD cord-283985-8mdnkegz 210 19 to to IN cord-283985-8mdnkegz 210 20 February February NNP cord-283985-8mdnkegz 210 21 10 10 CD cord-283985-8mdnkegz 210 22 in in IN cord-283985-8mdnkegz 210 23 2020 2020 CD cord-283985-8mdnkegz 210 24 . . . cord-283985-8mdnkegz 211 1 These these DT cord-283985-8mdnkegz 211 2 confirmed confirm VBN cord-283985-8mdnkegz 211 3 cases case NNS cord-283985-8mdnkegz 211 4 were be VBD cord-283985-8mdnkegz 211 5 determined determine VBN cord-283985-8mdnkegz 211 6 by by IN cord-283985-8mdnkegz 211 7 the the DT cord-283985-8mdnkegz 211 8 method method NN cord-283985-8mdnkegz 211 9 of of IN cord-283985-8mdnkegz 211 10 nucleic nucleic JJ cord-283985-8mdnkegz 211 11 acid acid NN cord-283985-8mdnkegz 211 12 testing testing NN cord-283985-8mdnkegz 211 13 kits kit NNS cord-283985-8mdnkegz 211 14 . . . cord-283985-8mdnkegz 212 1 On on IN cord-283985-8mdnkegz 212 2 February February NNP cord-283985-8mdnkegz 212 3 12 12 CD cord-283985-8mdnkegz 212 4 , , , cord-283985-8mdnkegz 212 5 2020 2020 CD cord-283985-8mdnkegz 212 6 , , , cord-283985-8mdnkegz 212 7 the the DT cord-283985-8mdnkegz 212 8 national national NNP cord-283985-8mdnkegz 212 9 health health NNP cord-283985-8mdnkegz 212 10 commission commission NNP cord-283985-8mdnkegz 212 11 in in IN cord-283985-8mdnkegz 212 12 China China NNP cord-283985-8mdnkegz 212 13 started start VBD cord-283985-8mdnkegz 212 14 including include VBG cord-283985-8mdnkegz 212 15 cases case NNS cord-283985-8mdnkegz 212 16 confirmed confirm VBN cord-283985-8mdnkegz 212 17 by by IN cord-283985-8mdnkegz 212 18 another another DT cord-283985-8mdnkegz 212 19 method method NN cord-283985-8mdnkegz 212 20 ; ; : cord-283985-8mdnkegz 212 21 i.e i.e XX cord-283985-8mdnkegz 212 22 , , , cord-283985-8mdnkegz 212 23 clinical clinical JJ cord-283985-8mdnkegz 212 24 diagnosis diagnosis NN cord-283985-8mdnkegz 212 25 , , , cord-283985-8mdnkegz 212 26 which which WDT cord-283985-8mdnkegz 212 27 refers refer VBZ cord-283985-8mdnkegz 212 28 to to IN cord-283985-8mdnkegz 212 29 using use VBG cord-283985-8mdnkegz 212 30 CT CT NNP cord-283985-8mdnkegz 212 31 imaging imaging NN cord-283985-8mdnkegz 212 32 scans scan NNS cord-283985-8mdnkegz 212 33 to to TO cord-283985-8mdnkegz 212 34 diagnose diagnose VB cord-283985-8mdnkegz 212 35 patients patient NNS cord-283985-8mdnkegz 212 36 . . . cord-283985-8mdnkegz 213 1 This this DT cord-283985-8mdnkegz 213 2 change change NN cord-283985-8mdnkegz 213 3 of of IN cord-283985-8mdnkegz 213 4 criteria criterion NNS cord-283985-8mdnkegz 213 5 led lead VBN cord-283985-8mdnkegz 213 6 to to IN cord-283985-8mdnkegz 213 7 a a DT cord-283985-8mdnkegz 213 8 surge surge NN cord-283985-8mdnkegz 213 9 of of IN cord-283985-8mdnkegz 213 10 confirmed confirm VBN cord-283985-8mdnkegz 213 11 cases case NNS cord-283985-8mdnkegz 213 12 on on IN cord-283985-8mdnkegz 213 13 February February NNP cord-283985-8mdnkegz 213 14 12 12 CD cord-283985-8mdnkegz 213 15 ( ( -LRB- cord-283985-8mdnkegz 213 16 with with IN cord-283985-8mdnkegz 213 17 an an DT cord-283985-8mdnkegz 213 18 increase increase NN cord-283985-8mdnkegz 213 19 of of IN cord-283985-8mdnkegz 213 20 about about RB cord-283985-8mdnkegz 213 21 14,000 14,000 CD cord-283985-8mdnkegz 213 22 new new JJ cord-283985-8mdnkegz 213 23 cases case NNS cord-283985-8mdnkegz 213 24 for for IN cord-283985-8mdnkegz 213 25 Wuhan Wuhan NNP cord-283985-8mdnkegz 213 26 in in IN cord-283985-8mdnkegz 213 27 a a DT cord-283985-8mdnkegz 213 28 single single JJ cord-283985-8mdnkegz 213 29 day day NN cord-283985-8mdnkegz 213 30 ) ) -RRB- cord-283985-8mdnkegz 213 31 , , , cord-283985-8mdnkegz 213 32 and and CC cord-283985-8mdnkegz 213 33 our -PRON- PRP$ cord-283985-8mdnkegz 213 34 current current JJ cord-283985-8mdnkegz 213 35 study study NN cord-283985-8mdnkegz 213 36 does do VBZ cord-283985-8mdnkegz 213 37 not not RB cord-283985-8mdnkegz 213 38 take take VB cord-283985-8mdnkegz 213 39 into into IN cord-283985-8mdnkegz 213 40 account account NN cord-283985-8mdnkegz 213 41 this this DT cord-283985-8mdnkegz 213 42 factor factor NN cord-283985-8mdnkegz 213 43 . . . cord-283985-8mdnkegz 214 1 In in IN cord-283985-8mdnkegz 214 2 this this DT cord-283985-8mdnkegz 214 3 regard regard NN cord-283985-8mdnkegz 214 4 , , , cord-283985-8mdnkegz 214 5 our -PRON- PRP$ cord-283985-8mdnkegz 214 6 prediction prediction NN cord-283985-8mdnkegz 214 7 of of IN cord-283985-8mdnkegz 214 8 the the DT cord-283985-8mdnkegz 214 9 epidemic epidemic NN cord-283985-8mdnkegz 214 10 duration duration NN cord-283985-8mdnkegz 214 11 and and CC cord-283985-8mdnkegz 214 12 size size NN cord-283985-8mdnkegz 214 13 should should MD cord-283985-8mdnkegz 214 14 be be VB cord-283985-8mdnkegz 214 15 interpreted interpret VBN cord-283985-8mdnkegz 214 16 as as IN cord-283985-8mdnkegz 214 17 applicable applicable JJ cord-283985-8mdnkegz 214 18 only only RB cord-283985-8mdnkegz 214 19 to to IN cord-283985-8mdnkegz 214 20 the the DT cord-283985-8mdnkegz 214 21 confirmed confirm VBN cord-283985-8mdnkegz 214 22 cases case NNS cord-283985-8mdnkegz 214 23 based base VBN cord-283985-8mdnkegz 214 24 on on IN cord-283985-8mdnkegz 214 25 the the DT cord-283985-8mdnkegz 214 26 previous previous JJ cord-283985-8mdnkegz 214 27 , , , cord-283985-8mdnkegz 214 28 more more RBR cord-283985-8mdnkegz 214 29 strict strict JJ cord-283985-8mdnkegz 214 30 , , , cord-283985-8mdnkegz 214 31 testing testing NN cord-283985-8mdnkegz 214 32 method method NN cord-283985-8mdnkegz 214 33 . . . cord-283985-8mdnkegz 215 1 The the DT cord-283985-8mdnkegz 215 2 issues issue NNS cord-283985-8mdnkegz 215 3 regarding regard VBG cord-283985-8mdnkegz 215 4 the the DT cord-283985-8mdnkegz 215 5 accuracy accuracy NN cord-283985-8mdnkegz 215 6 , , , cord-283985-8mdnkegz 215 7 reliability reliability NN cord-283985-8mdnkegz 215 8 and and CC cord-283985-8mdnkegz 215 9 standard standard NN cord-283985-8mdnkegz 215 10 of of IN cord-283985-8mdnkegz 215 11 reported report VBN cord-283985-8mdnkegz 215 12 data datum NNS cord-283985-8mdnkegz 215 13 are be VBP cord-283985-8mdnkegz 215 14 complex complex JJ cord-283985-8mdnkegz 215 15 and and CC cord-283985-8mdnkegz 215 16 are be VBP cord-283985-8mdnkegz 215 17 beyond beyond IN cord-283985-8mdnkegz 215 18 the the DT cord-283985-8mdnkegz 215 19 scope scope NN cord-283985-8mdnkegz 215 20 of of IN cord-283985-8mdnkegz 215 21 this this DT cord-283985-8mdnkegz 215 22 work work NN cord-283985-8mdnkegz 215 23 , , , cord-283985-8mdnkegz 215 24 which which WDT cord-283985-8mdnkegz 215 25 is be VBZ cord-283985-8mdnkegz 215 26 more more RBR cord-283985-8mdnkegz 215 27 oriented orient VBN cord-283985-8mdnkegz 215 28 on on IN cord-283985-8mdnkegz 215 29 the the DT cord-283985-8mdnkegz 215 30 mathematical mathematical JJ cord-283985-8mdnkegz 215 31 modeling modeling NN cord-283985-8mdnkegz 215 32 side side NN cord-283985-8mdnkegz 215 33 . . . cord-283985-8mdnkegz 216 1 We -PRON- PRP cord-283985-8mdnkegz 216 2 plan plan VBP cord-283985-8mdnkegz 216 3 to to TO cord-283985-8mdnkegz 216 4 address address VB cord-283985-8mdnkegz 216 5 the the DT cord-283985-8mdnkegz 216 6 new new JJ cord-283985-8mdnkegz 216 7 development development NN cord-283985-8mdnkegz 216 8 of of IN cord-283985-8mdnkegz 216 9 the the DT cord-283985-8mdnkegz 216 10 outbreak outbreak NN cord-283985-8mdnkegz 216 11 data datum NNS cord-283985-8mdnkegz 216 12 in in IN cord-283985-8mdnkegz 216 13 another another DT cord-283985-8mdnkegz 216 14 piece piece NN cord-283985-8mdnkegz 216 15 of of IN cord-283985-8mdnkegz 216 16 work work NN cord-283985-8mdnkegz 216 17 in in IN cord-283985-8mdnkegz 216 18 the the DT cord-283985-8mdnkegz 216 19 near near JJ cord-283985-8mdnkegz 216 20 future future NN cord-283985-8mdnkegz 216 21 . . . cord-283985-8mdnkegz 217 1 We -PRON- PRP cord-283985-8mdnkegz 217 2 also also RB cord-283985-8mdnkegz 217 3 plan plan VBP cord-283985-8mdnkegz 217 4 to to TO cord-283985-8mdnkegz 217 5 expand expand VB cord-283985-8mdnkegz 217 6 our -PRON- PRP$ cord-283985-8mdnkegz 217 7 modeling modeling NN cord-283985-8mdnkegz 217 8 efforts effort NNS cord-283985-8mdnkegz 217 9 to to IN cord-283985-8mdnkegz 217 10 the the DT cord-283985-8mdnkegz 217 11 province province NN cord-283985-8mdnkegz 217 12 and and CC cord-283985-8mdnkegz 217 13 country country NN cord-283985-8mdnkegz 217 14 levels level NNS cord-283985-8mdnkegz 217 15 beyond beyond IN cord-283985-8mdnkegz 217 16 the the DT cord-283985-8mdnkegz 217 17 epicenter epicenter NN cord-283985-8mdnkegz 217 18 , , , cord-283985-8mdnkegz 217 19 the the DT cord-283985-8mdnkegz 217 20 city city NN cord-283985-8mdnkegz 217 21 of of IN cord-283985-8mdnkegz 217 22 Wuhan Wuhan NNP cord-283985-8mdnkegz 217 23 , , , cord-283985-8mdnkegz 217 24 and and CC cord-283985-8mdnkegz 217 25 study study VB cord-283985-8mdnkegz 217 26 the the DT cord-283985-8mdnkegz 217 27 spread spread NN cord-283985-8mdnkegz 217 28 of of IN cord-283985-8mdnkegz 217 29 the the DT cord-283985-8mdnkegz 217 30 novel novel JJ cord-283985-8mdnkegz 217 31 coronavirus coronavirus NN cord-283985-8mdnkegz 217 32 in in IN cord-283985-8mdnkegz 217 33 larger large JJR cord-283985-8mdnkegz 217 34 spatial spatial JJ cord-283985-8mdnkegz 217 35 scales scale NNS cord-283985-8mdnkegz 217 36 . . . cord-283985-8mdnkegz 218 1 Cumulative cumulative JJ cord-283985-8mdnkegz 218 2 confirmed confirm VBN cord-283985-8mdnkegz 218 3 cases case NNS cord-283985-8mdnkegz 218 4 for for IN cord-283985-8mdnkegz 218 5 the the DT cord-283985-8mdnkegz 218 6 city city NN cord-283985-8mdnkegz 218 7 of of IN cord-283985-8mdnkegz 218 8 Wuhan Wuhan NNP cord-283985-8mdnkegz 218 9 from from IN cord-283985-8mdnkegz 218 10 January January NNP cord-283985-8mdnkegz 218 11 23 23 CD cord-283985-8mdnkegz 218 12 , , , cord-283985-8mdnkegz 218 13 2020 2020 CD cord-283985-8mdnkegz 218 14 to to IN cord-283985-8mdnkegz 218 15 February February NNP cord-283985-8mdnkegz 218 16 10 10 CD cord-283985-8mdnkegz 218 17 , , , cord-283985-8mdnkegz 218 18 2020 2020 CD cord-283985-8mdnkegz 218 19 . . . cord-283985-8mdnkegz 219 1 Circles circle NNS cord-283985-8mdnkegz 219 2 ( ( -LRB- cord-283985-8mdnkegz 219 3 in in IN cord-283985-8mdnkegz 219 4 blue blue JJ cord-283985-8mdnkegz 219 5 ) ) -RRB- cord-283985-8mdnkegz 219 6 denote denote VBP cord-283985-8mdnkegz 219 7 the the DT cord-283985-8mdnkegz 219 8 reported report VBN cord-283985-8mdnkegz 219 9 cases case NNS cord-283985-8mdnkegz 219 10 and and CC cord-283985-8mdnkegz 219 11 solid solid JJ cord-283985-8mdnkegz 219 12 line line NN cord-283985-8mdnkegz 219 13 ( ( -LRB- cord-283985-8mdnkegz 219 14 in in IN cord-283985-8mdnkegz 219 15 red red NNP cord-283985-8mdnkegz 219 16 ) ) -RRB- cord-283985-8mdnkegz 219 17 denotes denote VBZ cord-283985-8mdnkegz 219 18 the the DT cord-283985-8mdnkegz 219 19 simulation simulation NN cord-283985-8mdnkegz 219 20 result result NN cord-283985-8mdnkegz 219 21 . . . cord-283985-8mdnkegz 220 1 The the DT cord-283985-8mdnkegz 220 2 basic basic JJ cord-283985-8mdnkegz 220 3 reproduction reproduction NN cord-283985-8mdnkegz 220 4 number number NN cord-283985-8mdnkegz 220 5 is be VBZ cord-283985-8mdnkegz 220 6 ℛ ℛ NN cord-283985-8mdnkegz 220 7 0 0 CD cord-283985-8mdnkegz 220 8 = = SYM cord-283985-8mdnkegz 220 9 4.25 4.25 CD cord-283985-8mdnkegz 220 10 based base VBN cord-283985-8mdnkegz 220 11 on on IN cord-283985-8mdnkegz 220 12 the the DT cord-283985-8mdnkegz 220 13 parameters parameter NNS cord-283985-8mdnkegz 220 14 from from IN cord-283985-8mdnkegz 220 15 A a DT cord-283985-8mdnkegz 220 16 simulation simulation NN cord-283985-8mdnkegz 220 17 result result NN cord-283985-8mdnkegz 220 18 for for IN cord-283985-8mdnkegz 220 19 the the DT cord-283985-8mdnkegz 220 20 outbreak outbreak NN cord-283985-8mdnkegz 220 21 size size NN cord-283985-8mdnkegz 220 22 in in IN cord-283985-8mdnkegz 220 23 Wuhan Wuhan NNP cord-283985-8mdnkegz 220 24 using use VBG cord-283985-8mdnkegz 220 25 the the DT cord-283985-8mdnkegz 220 26 transmission transmission NN cord-283985-8mdnkegz 220 27 rates rate NNS cord-283985-8mdnkegz 220 28 formulated formulate VBN cord-283985-8mdnkegz 220 29 in in IN cord-283985-8mdnkegz 220 30 Eq Eq NNP cord-283985-8mdnkegz 220 31 ( ( -LRB- cord-283985-8mdnkegz 220 32 3.1 3.1 CD cord-283985-8mdnkegz 220 33 ) ) -RRB- cord-283985-8mdnkegz 220 34 , , , cord-283985-8mdnkegz 220 35 the the DT cord-283985-8mdnkegz 220 36 parameters parameter NNS cord-283985-8mdnkegz 220 37 from from IN cord-283985-8mdnkegz 220 38 Table table NN cord-283985-8mdnkegz 220 39 1 1 CD cord-283985-8mdnkegz 220 40 , , , cord-283985-8mdnkegz 220 41 and and CC cord-283985-8mdnkegz 220 42 the the DT cord-283985-8mdnkegz 220 43 result result NN cord-283985-8mdnkegz 220 44 of of IN cord-283985-8mdnkegz 220 45 data datum NNS cord-283985-8mdnkegz 220 46 fitting fitting NN cord-283985-8mdnkegz 220 47 . . . cord-283985-8mdnkegz 221 1 A a DT cord-283985-8mdnkegz 221 2 simulation simulation NN cord-283985-8mdnkegz 221 3 result result NN cord-283985-8mdnkegz 221 4 for for IN cord-283985-8mdnkegz 221 5 the the DT cord-283985-8mdnkegz 221 6 outbreak outbreak NN cord-283985-8mdnkegz 221 7 size size NN cord-283985-8mdnkegz 221 8 in in IN cord-283985-8mdnkegz 221 9 Wuhan Wuhan NNP cord-283985-8mdnkegz 221 10 using use VBG cord-283985-8mdnkegz 221 11 the the DT cord-283985-8mdnkegz 221 12 constant constant JJ cord-283985-8mdnkegz 221 13 transmission transmission NN cord-283985-8mdnkegz 221 14 rates rate NNS cord-283985-8mdnkegz 221 15 given give VBN cord-283985-8mdnkegz 221 16 in in IN cord-283985-8mdnkegz 221 17 Eq Eq NNP cord-283985-8mdnkegz 221 18 ( ( -LRB- cord-283985-8mdnkegz 221 19 3.2 3.2 CD cord-283985-8mdnkegz 221 20 ) ) -RRB- cord-283985-8mdnkegz 221 21 , , , cord-283985-8mdnkegz 221 22 the the DT cord-283985-8mdnkegz 221 23 parameters parameter NNS cord-283985-8mdnkegz 221 24 from from IN cord-283985-8mdnkegz 221 25 Table table NN cord-283985-8mdnkegz 221 26 1 1 CD cord-283985-8mdnkegz 221 27 , , , cord-283985-8mdnkegz 221 28 and and CC cord-283985-8mdnkegz 221 29 the the DT cord-283985-8mdnkegz 221 30 result result NN cord-283985-8mdnkegz 221 31 of of IN cord-283985-8mdnkegz 221 32 data datum NNS cord-283985-8mdnkegz 221 33 fitting fitting NN cord-283985-8mdnkegz 221 34 . . . cord-283985-8mdnkegz 222 1 Yang Yang NNP cord-283985-8mdnkegz 222 2 Definitions Definitions NNPS cord-283985-8mdnkegz 222 3 and and CC cord-283985-8mdnkegz 222 4 values value NNS cord-283985-8mdnkegz 222 5 of of IN cord-283985-8mdnkegz 222 6 model model NN cord-283985-8mdnkegz 222 7 parameters parameter NNS cord-283985-8mdnkegz 222 8 . . . cord-283985-8mdnkegz 223 1 Λ λ NN cord-283985-8mdnkegz 223 2 Influx influx NN cord-283985-8mdnkegz 223 3 rate rate NN cord-283985-8mdnkegz 223 4 271.23 271.23 CD cord-283985-8mdnkegz 223 5 per per IN cord-283985-8mdnkegz 223 6 day day NN cord-283985-8mdnkegz 223 7 [ [ -LRB- cord-283985-8mdnkegz 223 8 30 30 CD cord-283985-8mdnkegz 223 9 ] ] -RRB- cord-283985-8mdnkegz 224 1 β β NNP cord-283985-8mdnkegz 224 2 E0 E0 NNP cord-283985-8mdnkegz 224 3 Transmission Transmission NNP cord-283985-8mdnkegz 224 4 constant constant JJ cord-283985-8mdnkegz 224 5 between between IN cord-283985-8mdnkegz 224 6 S S NNP cord-283985-8mdnkegz 224 7 and and CC cord-283985-8mdnkegz 224 8 E E NNP cord-283985-8mdnkegz 224 9 3.11 3.11 CD cord-283985-8mdnkegz 224 10 × × NN cord-283985-8mdnkegz 224 11 10 10 CD cord-283985-8mdnkegz 224 12 −8 −8 NNP cord-283985-8mdnkegz 224 13 /person /person NNP cord-283985-8mdnkegz 224 14 / / SYM cord-283985-8mdnkegz 224 15 day day NN cord-283985-8mdnkegz 224 16 [ [ -LRB- cord-283985-8mdnkegz 224 17 13 13 CD cord-283985-8mdnkegz 224 18 ] ] -RRB- cord-283985-8mdnkegz 225 1 β β NNP cord-283985-8mdnkegz 225 2 I0 I0 NNP cord-283985-8mdnkegz 225 3 Transmission Transmission NNP cord-283985-8mdnkegz 225 4 constant constant JJ cord-283985-8mdnkegz 225 5 between between IN cord-283985-8mdnkegz 225 6 S S NNP cord-283985-8mdnkegz 225 7 and and CC cord-283985-8mdnkegz 225 8 I I NNP cord-283985-8mdnkegz 225 9 0.62 0.62 CD cord-283985-8mdnkegz 225 10 × × NN cord-283985-8mdnkegz 225 11 10 10 CD cord-283985-8mdnkegz 225 12 −8 −8 NNP cord-283985-8mdnkegz 225 13 /person /person NNP cord-283985-8mdnkegz 225 14 / / SYM cord-283985-8mdnkegz 225 15 day day NN cord-283985-8mdnkegz 225 16 [ [ -LRB- cord-283985-8mdnkegz 225 17 13 13 CD cord-283985-8mdnkegz 225 18 ] ] -RRB- cord-283985-8mdnkegz 226 1 β β LS cord-283985-8mdnkegz 226 2 V0 V0 NNP cord-283985-8mdnkegz 226 3 Transmission Transmission NNP cord-283985-8mdnkegz 226 4 constant constant JJ cord-283985-8mdnkegz 226 5 between between IN cord-283985-8mdnkegz 226 6 S S NNP cord-283985-8mdnkegz 226 7 and and CC cord-283985-8mdnkegz 226 8 V v NN cord-283985-8mdnkegz 226 9 fitting fitting NN cord-283985-8mdnkegz 226 10 by by IN cord-283985-8mdnkegz 226 11 data datum NNS cord-283985-8mdnkegz 226 12 c c NNP cord-283985-8mdnkegz 226 13 Transmission Transmission NNP cord-283985-8mdnkegz 226 14 adjustment adjustment NN cord-283985-8mdnkegz 226 15 coefficient coefficient NN cord-283985-8mdnkegz 226 16 fitting fitting NN cord-283985-8mdnkegz 226 17 by by IN cord-283985-8mdnkegz 226 18 data datum NNS cord-283985-8mdnkegz 226 19 μ μ NN cord-283985-8mdnkegz 226 20 Natural natural JJ cord-283985-8mdnkegz 226 21 death death NN cord-283985-8mdnkegz 226 22 rate rate NN cord-283985-8mdnkegz 226 23 3.01 3.01 CD cord-283985-8mdnkegz 226 24 × × NN cord-283985-8mdnkegz 226 25 10 10 CD cord-283985-8mdnkegz 226 26 −5 −5 NN cord-283985-8mdnkegz 226 27 per per IN cord-283985-8mdnkegz 226 28 day day NN cord-283985-8mdnkegz 227 1 [ [ -LRB- cord-283985-8mdnkegz 227 2 30 30 CD cord-283985-8mdnkegz 227 3 ] ] -RRB- cord-283985-8mdnkegz 227 4 1 1 CD cord-283985-8mdnkegz 227 5 / / SYM cord-283985-8mdnkegz 227 6 α α NN cord-283985-8mdnkegz 227 7 Incubation Incubation NNP cord-283985-8mdnkegz 227 8 period period NN cord-283985-8mdnkegz 227 9 7 7 CD cord-283985-8mdnkegz 227 10 days day NNS cord-283985-8mdnkegz 227 11 [ [ -LRB- cord-283985-8mdnkegz 227 12 31 31 CD cord-283985-8mdnkegz 227 13 ] ] -RRB- cord-283985-8mdnkegz 227 14 w w NNP cord-283985-8mdnkegz 227 15 Disease Disease NNP cord-283985-8mdnkegz 227 16 - - HYPH cord-283985-8mdnkegz 227 17 induced induce VBN cord-283985-8mdnkegz 227 18 death death NN cord-283985-8mdnkegz 227 19 rate rate NN cord-283985-8mdnkegz 227 20 0.01 0.01 CD cord-283985-8mdnkegz 227 21 per per IN cord-283985-8mdnkegz 227 22 day day NN cord-283985-8mdnkegz 227 23 [ [ -LRB- cord-283985-8mdnkegz 227 24 30 30 CD cord-283985-8mdnkegz 227 25 ] ] -RRB- cord-283985-8mdnkegz 227 26 γ γ NN cord-283985-8mdnkegz 228 1 Recovery recovery NN cord-283985-8mdnkegz 228 2 rate rate NN cord-283985-8mdnkegz 228 3 1/15 1/15 CD cord-283985-8mdnkegz 228 4 per per IN cord-283985-8mdnkegz 228 5 day day NN cord-283985-8mdnkegz 228 6 [ [ -LRB- cord-283985-8mdnkegz 228 7 31 31 CD cord-283985-8mdnkegz 228 8 ] ] -RRB- cord-283985-8mdnkegz 229 1 σ σ NNP cord-283985-8mdnkegz 229 2 Removal removal JJ cord-283985-8mdnkegz 229 3 rate rate NN cord-283985-8mdnkegz 229 4 of of IN cord-283985-8mdnkegz 229 5 virus virus NN cord-283985-8mdnkegz 229 6 1 1 CD cord-283985-8mdnkegz 229 7 per per IN cord-283985-8mdnkegz 229 8 day day NN cord-283985-8mdnkegz 229 9 [ [ -LRB- cord-283985-8mdnkegz 229 10 19 19 CD cord-283985-8mdnkegz 229 11 ] ] -RRB- cord-283985-8mdnkegz 229 12 ξ ξ VBZ cord-283985-8mdnkegz 229 13 1 1 CD cord-283985-8mdnkegz 229 14 Virus virus NN cord-283985-8mdnkegz 229 15 shedding shed VBG cord-283985-8mdnkegz 229 16 rate rate NN cord-283985-8mdnkegz 229 17 by by IN cord-283985-8mdnkegz 229 18 exposed expose VBN cord-283985-8mdnkegz 229 19 people people NNS cord-283985-8mdnkegz 229 20 fitting fitting JJ cord-283985-8mdnkegz 229 21 by by IN cord-283985-8mdnkegz 229 22 data data NN cord-283985-8mdnkegz 229 23 - - HYPH cord-283985-8mdnkegz 229 24 Virus virus NN cord-283985-8mdnkegz 229 25 shedding shedding JJ cord-283985-8mdnkegz 229 26 rate rate NN cord-283985-8mdnkegz 229 27 by by IN cord-283985-8mdnkegz 229 28 infected infected JJ cord-283985-8mdnkegz 229 29 people people NNS cord-283985-8mdnkegz 229 30 0 0 CD cord-283985-8mdnkegz 229 31 per per IN cord-283985-8mdnkegz 229 32 person person NN cord-283985-8mdnkegz 229 33 per per IN cord-283985-8mdnkegz 229 34 day day NN cord-283985-8mdnkegz 229 35 per per IN cord-283985-8mdnkegz 229 36 ml ml NN cord-283985-8mdnkegz 230 1 -Page -page SYM cord-283985-8mdnkegz 230 2 21 21 CD cord-283985-8mdnkegz 230 3 _SP cord-283985-8mdnkegz 231 1 WHO who WP cord-283985-8mdnkegz 231 2 statement statement NN cord-283985-8mdnkegz 231 3 regarding regard VBG cord-283985-8mdnkegz 231 4 cluster cluster NN cord-283985-8mdnkegz 231 5 of of IN cord-283985-8mdnkegz 231 6 pneumonia pneumonia NN cord-283985-8mdnkegz 231 7 cases case NNS cord-283985-8mdnkegz 231 8 in in IN cord-283985-8mdnkegz 231 9 Wuhan Wuhan NNP cord-283985-8mdnkegz 231 10 , , , cord-283985-8mdnkegz 231 11 China China NNP cord-283985-8mdnkegz 231 12 . . . cord-283985-8mdnkegz 232 1 2020 2020 CD cord-283985-8mdnkegz 233 1 Available available JJ cord-283985-8mdnkegz 233 2 from from IN cord-283985-8mdnkegz 233 3 Early early JJ cord-283985-8mdnkegz 233 4 transmission transmission NN cord-283985-8mdnkegz 233 5 dynamics dynamic NNS cord-283985-8mdnkegz 233 6 in in IN cord-283985-8mdnkegz 233 7 Wuhan Wuhan NNP cord-283985-8mdnkegz 233 8 , , , cord-283985-8mdnkegz 233 9 China China NNP cord-283985-8mdnkegz 233 10 , , , cord-283985-8mdnkegz 233 11 of of IN cord-283985-8mdnkegz 233 12 novel novel JJ cord-283985-8mdnkegz 233 13 coronavirus coronavirus NN cord-283985-8mdnkegz 233 14 - - HYPH cord-283985-8mdnkegz 233 15 infected infect VBN cord-283985-8mdnkegz 233 16 pneumonia pneumonia NN cord-283985-8mdnkegz 233 17 Discovery Discovery NNP cord-283985-8mdnkegz 233 18 of of IN cord-283985-8mdnkegz 233 19 a a DT cord-283985-8mdnkegz 233 20 novel novel JJ cord-283985-8mdnkegz 233 21 coronavirus coronavirus NN cord-283985-8mdnkegz 233 22 associated associate VBN cord-283985-8mdnkegz 233 23 with with IN cord-283985-8mdnkegz 233 24 the the DT cord-283985-8mdnkegz 233 25 recent recent JJ cord-283985-8mdnkegz 233 26 pneumonia pneumonia NN cord-283985-8mdnkegz 233 27 outbreak outbreak NN cord-283985-8mdnkegz 233 28 in in IN cord-283985-8mdnkegz 233 29 humans human NNS cord-283985-8mdnkegz 233 30 and and CC cord-283985-8mdnkegz 233 31 its -PRON- PRP$ cord-283985-8mdnkegz 233 32 potential potential JJ cord-283985-8mdnkegz 233 33 bat bat NN cord-283985-8mdnkegz 233 34 origin origin NN cord-283985-8mdnkegz 233 35 , , . cord-283985-8mdnkegz 234 1 bioRxiv biorxiv DT cord-283985-8mdnkegz 234 2 Return Return NNP cord-283985-8mdnkegz 234 3 of of IN cord-283985-8mdnkegz 234 4 the the DT cord-283985-8mdnkegz 234 5 coronavirus coronavirus NN cord-283985-8mdnkegz 234 6 : : : cord-283985-8mdnkegz 235 1 2019-nCoV 2019-ncov CD cord-283985-8mdnkegz 236 1 The the DT cord-283985-8mdnkegz 236 2 new new JJ cord-283985-8mdnkegz 236 3 coronavirus coronavirus NN cord-283985-8mdnkegz 236 4 : : : cord-283985-8mdnkegz 237 1 What what WP cord-283985-8mdnkegz 237 2 we -PRON- PRP cord-283985-8mdnkegz 237 3 do do VBP cord-283985-8mdnkegz 237 4 - - : cord-283985-8mdnkegz 237 5 and and CC cord-283985-8mdnkegz 237 6 don't don't VB cord-283985-8mdnkegz 237 7 - - HYPH cord-283985-8mdnkegz 237 8 know know NNP cord-283985-8mdnkegz 237 9 Centers Centers NNPS cord-283985-8mdnkegz 237 10 for for IN cord-283985-8mdnkegz 237 11 Disease Disease NNP cord-283985-8mdnkegz 237 12 Control Control NNP cord-283985-8mdnkegz 237 13 and and CC cord-283985-8mdnkegz 237 14 Prevention Prevention NNP cord-283985-8mdnkegz 237 15 : : : cord-283985-8mdnkegz 238 1 2019 2019 CD cord-283985-8mdnkegz 238 2 novel novel NN cord-283985-8mdnkegz 238 3 coronavirus coronavirus NN cord-283985-8mdnkegz 238 4 2019-nCoV 2019-ncov CD cord-283985-8mdnkegz 238 5 ) ) -RRB- cord-283985-8mdnkegz 238 6 situation situation NN cord-283985-8mdnkegz 238 7 reports report VBZ cord-283985-8mdnkegz 238 8 A a DT cord-283985-8mdnkegz 238 9 novel novel JJ cord-283985-8mdnkegz 238 10 coronavirus coronavirus NN cord-283985-8mdnkegz 238 11 emerging emerge VBG cord-283985-8mdnkegz 238 12 in in IN cord-283985-8mdnkegz 238 13 China China NNP cord-283985-8mdnkegz 238 14 -key -key : cord-283985-8mdnkegz 238 15 questions question NNS cord-283985-8mdnkegz 238 16 for for IN cord-283985-8mdnkegz 238 17 impact impact NN cord-283985-8mdnkegz 238 18 assessment assessment NN cord-283985-8mdnkegz 238 19 WHO who WP cord-283985-8mdnkegz 238 20 statement statement NN cord-283985-8mdnkegz 238 21 regarding regard VBG cord-283985-8mdnkegz 238 22 the the DT cord-283985-8mdnkegz 238 23 outbreak outbreak NN cord-283985-8mdnkegz 238 24 of of IN cord-283985-8mdnkegz 238 25 novel novel JJ cord-283985-8mdnkegz 238 26 coronavirus coronavirus NN cord-283985-8mdnkegz 238 27 ( ( -LRB- cord-283985-8mdnkegz 238 28 2019-nCoV 2019-ncov CD cord-283985-8mdnkegz 238 29 ) ) -RRB- cord-283985-8mdnkegz 238 30 , , , cord-283985-8mdnkegz 238 31 2020 2020 CD cord-283985-8mdnkegz 238 32 Available available JJ cord-283985-8mdnkegz 238 33 from from IN cord-283985-8mdnkegz 238 34 Transmission transmission NN cord-283985-8mdnkegz 238 35 of of IN cord-283985-8mdnkegz 238 36 2019-nCoV 2019-ncov CD cord-283985-8mdnkegz 238 37 Infection infection NN cord-283985-8mdnkegz 238 38 from from IN cord-283985-8mdnkegz 238 39 an an DT cord-283985-8mdnkegz 238 40 asymptomatic asymptomatic JJ cord-283985-8mdnkegz 238 41 contact contact NN cord-283985-8mdnkegz 238 42 in in IN cord-283985-8mdnkegz 238 43 Germany Germany NNP cord-283985-8mdnkegz 238 44 Nowcasting Nowcasting NNP cord-283985-8mdnkegz 238 45 and and CC cord-283985-8mdnkegz 238 46 forecasting forecast VBG cord-283985-8mdnkegz 238 47 the the DT cord-283985-8mdnkegz 238 48 potential potential JJ cord-283985-8mdnkegz 238 49 domestic domestic JJ cord-283985-8mdnkegz 238 50 and and CC cord-283985-8mdnkegz 238 51 international international JJ cord-283985-8mdnkegz 238 52 spread spread NN cord-283985-8mdnkegz 238 53 of of IN cord-283985-8mdnkegz 238 54 the the DT cord-283985-8mdnkegz 238 55 2019-nCoV 2019-ncov CD cord-283985-8mdnkegz 238 56 outbreak outbreak NN cord-283985-8mdnkegz 238 57 originating originate VBG cord-283985-8mdnkegz 238 58 in in IN cord-283985-8mdnkegz 238 59 Wuhan Wuhan NNP cord-283985-8mdnkegz 238 60 , , , cord-283985-8mdnkegz 238 61 China China NNP cord-283985-8mdnkegz 238 62 : : : cord-283985-8mdnkegz 238 63 a a DT cord-283985-8mdnkegz 238 64 modelling modelling NN cord-283985-8mdnkegz 238 65 study study NN cord-283985-8mdnkegz 238 66 Novel novel JJ cord-283985-8mdnkegz 238 67 coronavirus coronavirus NN cord-283985-8mdnkegz 238 68 2019n 2019n CD cord-283985-8mdnkegz 238 69 - - HYPH cord-283985-8mdnkegz 238 70 CoV cov NN cord-283985-8mdnkegz 238 71 : : : cord-283985-8mdnkegz 238 72 early early JJ cord-283985-8mdnkegz 238 73 estimation estimation NN cord-283985-8mdnkegz 238 74 of of IN cord-283985-8mdnkegz 238 75 epidemiological epidemiological JJ cord-283985-8mdnkegz 238 76 parameters parameter NNS cord-283985-8mdnkegz 238 77 and and CC cord-283985-8mdnkegz 238 78 epidemic epidemic NN cord-283985-8mdnkegz 238 79 predictions prediction NNS cord-283985-8mdnkegz 238 80 , , . cord-283985-8mdnkegz 239 1 medRxiv medRxiv NNP cord-283985-8mdnkegz 239 2 Estimation Estimation NNP cord-283985-8mdnkegz 239 3 of of IN cord-283985-8mdnkegz 239 4 the the DT cord-283985-8mdnkegz 239 5 transmission transmission NN cord-283985-8mdnkegz 239 6 risk risk NN cord-283985-8mdnkegz 239 7 of of IN cord-283985-8mdnkegz 239 8 2019-nCoV 2019-ncov CD cord-283985-8mdnkegz 239 9 and and CC cord-283985-8mdnkegz 239 10 its -PRON- PRP$ cord-283985-8mdnkegz 239 11 implication implication NN cord-283985-8mdnkegz 239 12 for for IN cord-283985-8mdnkegz 239 13 public public JJ cord-283985-8mdnkegz 239 14 health health NN cord-283985-8mdnkegz 239 15 interventions intervention NNS cord-283985-8mdnkegz 239 16 Transmissibility Transmissibility NNP cord-283985-8mdnkegz 239 17 of of IN cord-283985-8mdnkegz 239 18 2019-nCoV 2019-ncov CD cord-283985-8mdnkegz 239 19 , , , cord-283985-8mdnkegz 239 20 Reference Reference NNP cord-283985-8mdnkegz 239 21 Source Source NNP cord-283985-8mdnkegz 239 22 Host Host NNP cord-283985-8mdnkegz 239 23 and and CC cord-283985-8mdnkegz 239 24 infectivity infectivity NN cord-283985-8mdnkegz 239 25 prediction prediction NN cord-283985-8mdnkegz 239 26 of of IN cord-283985-8mdnkegz 239 27 Wuhan Wuhan NNP cord-283985-8mdnkegz 239 28 2019 2019 CD cord-283985-8mdnkegz 239 29 novel novel NN cord-283985-8mdnkegz 239 30 coronavirus coronavirus NN cord-283985-8mdnkegz 239 31 using use VBG cord-283985-8mdnkegz 239 32 deep deep JJ cord-283985-8mdnkegz 239 33 learning learning NN cord-283985-8mdnkegz 239 34 algorithm algorithm NN cord-283985-8mdnkegz 239 35 , , , cord-283985-8mdnkegz 239 36 bioRxiv biorxiv IN cord-283985-8mdnkegz 240 1 A a DT cord-283985-8mdnkegz 240 2 familial familial JJ cord-283985-8mdnkegz 240 3 cluster cluster NN cord-283985-8mdnkegz 240 4 of of IN cord-283985-8mdnkegz 240 5 pneumonia pneumonia NN cord-283985-8mdnkegz 240 6 associated associate VBN cord-283985-8mdnkegz 240 7 with with IN cord-283985-8mdnkegz 240 8 the the DT cord-283985-8mdnkegz 240 9 2019 2019 CD cord-283985-8mdnkegz 240 10 novel novel NN cord-283985-8mdnkegz 240 11 coronavirus coronavirus NN cord-283985-8mdnkegz 240 12 indicating indicate VBG cord-283985-8mdnkegz 240 13 person person NN cord-283985-8mdnkegz 240 14 - - HYPH cord-283985-8mdnkegz 240 15 to to IN cord-283985-8mdnkegz 240 16 - - HYPH cord-283985-8mdnkegz 240 17 person person NN cord-283985-8mdnkegz 240 18 transmission transmission NN cord-283985-8mdnkegz 240 19 : : : cord-283985-8mdnkegz 240 20 a a DT cord-283985-8mdnkegz 240 21 study study NN cord-283985-8mdnkegz 240 22 of of IN cord-283985-8mdnkegz 240 23 a a DT cord-283985-8mdnkegz 240 24 family family NN cord-283985-8mdnkegz 240 25 cluster cluster NN cord-283985-8mdnkegz 240 26 Novel Novel NNP cord-283985-8mdnkegz 240 27 coronavirus coronavirus NN cord-283985-8mdnkegz 240 28 : : : cord-283985-8mdnkegz 240 29 where where WRB cord-283985-8mdnkegz 240 30 we -PRON- PRP cord-283985-8mdnkegz 240 31 are be VBP cord-283985-8mdnkegz 240 32 and and CC cord-283985-8mdnkegz 240 33 what what WP cord-283985-8mdnkegz 240 34 we -PRON- PRP cord-283985-8mdnkegz 240 35 know know VBP cord-283985-8mdnkegz 240 36 novel novel JJ cord-283985-8mdnkegz 240 37 coronavirus coronavirus NN cord-283985-8mdnkegz 240 38 ( ( -LRB- cord-283985-8mdnkegz 240 39 COVID-19 COVID-19 NNP cord-283985-8mdnkegz 240 40 ) ) -RRB- cord-283985-8mdnkegz 240 41 outbreak outbreak NN cord-283985-8mdnkegz 240 42 : : : cord-283985-8mdnkegz 240 43 A a DT cord-283985-8mdnkegz 240 44 review review NN cord-283985-8mdnkegz 240 45 of of IN cord-283985-8mdnkegz 240 46 the the DT cord-283985-8mdnkegz 240 47 current current JJ cord-283985-8mdnkegz 240 48 literature literature NN cord-283985-8mdnkegz 240 49 Human Human NNP cord-283985-8mdnkegz 240 50 coronaviruses coronaviruse NNS cord-283985-8mdnkegz 240 51 : : : cord-283985-8mdnkegz 241 1 Insights insight NNS cord-283985-8mdnkegz 241 2 into into IN cord-283985-8mdnkegz 241 3 environmental environmental JJ cord-283985-8mdnkegz 241 4 resistance resistance NN cord-283985-8mdnkegz 241 5 and and CC cord-283985-8mdnkegz 241 6 its -PRON- PRP$ cord-283985-8mdnkegz 241 7 influence influence NN cord-283985-8mdnkegz 241 8 on on IN cord-283985-8mdnkegz 241 9 the the DT cord-283985-8mdnkegz 241 10 development development NN cord-283985-8mdnkegz 241 11 of of IN cord-283985-8mdnkegz 241 12 new new JJ cord-283985-8mdnkegz 241 13 antiseptic antiseptic JJ cord-283985-8mdnkegz 241 14 strategies strategy NNS cord-283985-8mdnkegz 241 15 Persistence persistence NN cord-283985-8mdnkegz 241 16 of of IN cord-283985-8mdnkegz 241 17 coronaviruses coronaviruse NNS cord-283985-8mdnkegz 241 18 on on IN cord-283985-8mdnkegz 241 19 inanimate inanimate JJ cord-283985-8mdnkegz 241 20 surfaces surface NNS cord-283985-8mdnkegz 241 21 and and CC cord-283985-8mdnkegz 241 22 its -PRON- PRP$ cord-283985-8mdnkegz 241 23 inactivation inactivation NN cord-283985-8mdnkegz 241 24 with with IN cord-283985-8mdnkegz 241 25 biocidal biocidal NNP cord-283985-8mdnkegz 241 26 agents agent NNS cord-283985-8mdnkegz 241 27 Reproduction Reproduction NNP cord-283985-8mdnkegz 241 28 numbers number NNS cord-283985-8mdnkegz 241 29 and and CC cord-283985-8mdnkegz 241 30 sub sub NN cord-283985-8mdnkegz 241 31 - - JJ cord-283985-8mdnkegz 241 32 threshold threshold JJ cord-283985-8mdnkegz 241 33 endemic endemic JJ cord-283985-8mdnkegz 241 34 equilibria equilibrium NNS cord-283985-8mdnkegz 241 35 for for IN cord-283985-8mdnkegz 241 36 compartmental compartmental JJ cord-283985-8mdnkegz 241 37 models model NNS cord-283985-8mdnkegz 241 38 of of IN cord-283985-8mdnkegz 241 39 disease disease NN cord-283985-8mdnkegz 241 40 transmission transmission NN cord-283985-8mdnkegz 242 1 The the DT cord-283985-8mdnkegz 242 2 Stability Stability NNP cord-283985-8mdnkegz 242 3 of of IN cord-283985-8mdnkegz 242 4 Dynamical Dynamical NNP cord-283985-8mdnkegz 242 5 Systems Systems NNPS cord-283985-8mdnkegz 242 6 Persistence Persistence NNP cord-283985-8mdnkegz 242 7 under under IN cord-283985-8mdnkegz 242 8 relaxed relaxed JJ cord-283985-8mdnkegz 242 9 point point NN cord-283985-8mdnkegz 242 10 - - HYPH cord-283985-8mdnkegz 242 11 dissipativity dissipativity NN cord-283985-8mdnkegz 242 12 ( ( -LRB- cord-283985-8mdnkegz 242 13 with with IN cord-283985-8mdnkegz 242 14 application application NN cord-283985-8mdnkegz 242 15 to to IN cord-283985-8mdnkegz 242 16 an an DT cord-283985-8mdnkegz 242 17 endemic endemic JJ cord-283985-8mdnkegz 242 18 model model NN cord-283985-8mdnkegz 242 19 ) ) -RRB- cord-283985-8mdnkegz 243 1 An an DT cord-283985-8mdnkegz 243 2 SIS SIS NNP cord-283985-8mdnkegz 243 3 patch patch NN cord-283985-8mdnkegz 243 4 model model NN cord-283985-8mdnkegz 243 5 with with IN cord-283985-8mdnkegz 243 6 variable variable JJ cord-283985-8mdnkegz 243 7 transmission transmission NN cord-283985-8mdnkegz 243 8 coefficients coefficient NNS cord-283985-8mdnkegz 243 9 Global global JJ cord-283985-8mdnkegz 243 10 stability stability NN cord-283985-8mdnkegz 243 11 of of IN cord-283985-8mdnkegz 243 12 SEIRS SEIRS NNP cord-283985-8mdnkegz 243 13 models model NNS cord-283985-8mdnkegz 243 14 in in IN cord-283985-8mdnkegz 243 15 epidemiology epidemiology NN cord-283985-8mdnkegz 243 16 Global global JJ cord-283985-8mdnkegz 243 17 stability stability NN cord-283985-8mdnkegz 243 18 of of IN cord-283985-8mdnkegz 243 19 infectious infectious JJ cord-283985-8mdnkegz 243 20 disease disease NN cord-283985-8mdnkegz 243 21 models model NNS cord-283985-8mdnkegz 243 22 using use VBG cord-283985-8mdnkegz 243 23 Lyapunov Lyapunov NNP cord-283985-8mdnkegz 243 24 functions function VBZ cord-283985-8mdnkegz 243 25 Wikipedia Wikipedia NNP cord-283985-8mdnkegz 243 26 on on IN cord-283985-8mdnkegz 243 27 the the DT cord-283985-8mdnkegz 243 28 timeline timeline NN cord-283985-8mdnkegz 243 29 of of IN cord-283985-8mdnkegz 243 30 the the DT cord-283985-8mdnkegz 243 31 2019 2019 CD cord-283985-8mdnkegz 243 32 - - SYM cord-283985-8mdnkegz 243 33 20 20 CD cord-283985-8mdnkegz 243 34 Wuhan Wuhan NNP cord-283985-8mdnkegz 243 35 coronavirus coronavirus NN cord-283985-8mdnkegz 243 36 outbreak outbreak NN cord-283985-8mdnkegz 243 37 Sina Sina NNP cord-283985-8mdnkegz 243 38 news news NN cord-283985-8mdnkegz 243 39 real real JJ cord-283985-8mdnkegz 243 40 - - HYPH cord-283985-8mdnkegz 243 41 time time NN cord-283985-8mdnkegz 243 42 reports report NNS cord-283985-8mdnkegz 243 43 on on IN cord-283985-8mdnkegz 243 44 novel novel JJ cord-283985-8mdnkegz 243 45 coronavirus coronavirus NN cord-283985-8mdnkegz 244 1 The the DT cord-283985-8mdnkegz 244 2 government government NN cord-283985-8mdnkegz 244 3 of of IN cord-283985-8mdnkegz 244 4 Wuhan Wuhan NNP cord-283985-8mdnkegz 244 5 homepage homepage NN cord-283985-8mdnkegz 244 6 Epidemiological epidemiological JJ cord-283985-8mdnkegz 244 7 parameter parameter NN cord-283985-8mdnkegz 244 8 review review NN cord-283985-8mdnkegz 244 9 and and CC cord-283985-8mdnkegz 244 10 comparative comparative JJ cord-283985-8mdnkegz 244 11 dynamics dynamic NNS cord-283985-8mdnkegz 244 12 of of IN cord-283985-8mdnkegz 244 13 influenza influenza NN cord-283985-8mdnkegz 244 14 , , , cord-283985-8mdnkegz 244 15 respiratory respiratory JJ cord-283985-8mdnkegz 244 16 syncytial syncytial JJ cord-283985-8mdnkegz 244 17 virus virus NN cord-283985-8mdnkegz 244 18 , , , cord-283985-8mdnkegz 244 19 rhinovirus rhinovirus NN cord-283985-8mdnkegz 244 20 , , , cord-283985-8mdnkegz 244 21 human human JJ cord-283985-8mdnkegz 244 22 coronvirus coronvirus NNP cord-283985-8mdnkegz 244 23 , , , cord-283985-8mdnkegz 244 24 and and CC cord-283985-8mdnkegz 244 25 adenovirus adenovirus NN cord-283985-8mdnkegz 244 26 , , , cord-283985-8mdnkegz 244 27 medRxiv medRxiv NNS cord-283985-8mdnkegz 244 28 A a DT cord-283985-8mdnkegz 244 29 cholera cholera NN cord-283985-8mdnkegz 244 30 transmission transmission NN cord-283985-8mdnkegz 244 31 model model NN cord-283985-8mdnkegz 244 32 incorporating incorporate VBG cord-283985-8mdnkegz 244 33 the the DT cord-283985-8mdnkegz 244 34 impact impact NN cord-283985-8mdnkegz 244 35 of of IN cord-283985-8mdnkegz 244 36 medical medical JJ cord-283985-8mdnkegz 244 37 resources resource NNS cord-283985-8mdnkegz 245 1 The the DT cord-283985-8mdnkegz 245 2 Health Health NNP cord-283985-8mdnkegz 245 3 Commission Commission NNP cord-283985-8mdnkegz 245 4 of of IN cord-283985-8mdnkegz 245 5 Hubei Hubei NNP cord-283985-8mdnkegz 245 6 Province Province NNP cord-283985-8mdnkegz 245 7 Multiple multiple JJ cord-283985-8mdnkegz 245 8 transmission transmission NN cord-283985-8mdnkegz 245 9 pathways pathway NNS cord-283985-8mdnkegz 245 10 and and CC cord-283985-8mdnkegz 245 11 disease disease NN cord-283985-8mdnkegz 245 12 dynamics dynamic NNS cord-283985-8mdnkegz 245 13 in in IN cord-283985-8mdnkegz 245 14 a a DT cord-283985-8mdnkegz 245 15 waterborne waterborne JJ cord-283985-8mdnkegz 245 16 pathogen pathogen NN cord-283985-8mdnkegz 245 17 model model NN cord-283985-8mdnkegz 245 18 This this DT cord-283985-8mdnkegz 245 19 work work NN cord-283985-8mdnkegz 245 20 is be VBZ cord-283985-8mdnkegz 245 21 partially partially RB cord-283985-8mdnkegz 245 22 supported support VBN cord-283985-8mdnkegz 245 23 by by IN cord-283985-8mdnkegz 245 24 the the DT cord-283985-8mdnkegz 245 25 National National NNP cord-283985-8mdnkegz 245 26 Institutes Institutes NNPS cord-283985-8mdnkegz 245 27 of of IN cord-283985-8mdnkegz 245 28 Health Health NNP cord-283985-8mdnkegz 245 29 under under IN cord-283985-8mdnkegz 245 30 grant grant NN cord-283985-8mdnkegz 245 31 number number NN cord-283985-8mdnkegz 245 32 1R15GM131315 1r15gm131315 CD cord-283985-8mdnkegz 245 33 . . . cord-283985-8mdnkegz 246 1 The the DT cord-283985-8mdnkegz 246 2 authors author NNS cord-283985-8mdnkegz 246 3 are be VBP cord-283985-8mdnkegz 246 4 grateful grateful JJ cord-283985-8mdnkegz 246 5 to to IN cord-283985-8mdnkegz 246 6 the the DT cord-283985-8mdnkegz 246 7 handling handling NN cord-283985-8mdnkegz 246 8 editor editor NN cord-283985-8mdnkegz 246 9 and and CC cord-283985-8mdnkegz 246 10 reviewers reviewer NNS cord-283985-8mdnkegz 246 11 for for IN cord-283985-8mdnkegz 246 12 their -PRON- PRP$ cord-283985-8mdnkegz 246 13 helpful helpful JJ cord-283985-8mdnkegz 246 14 comments comment NNS cord-283985-8mdnkegz 246 15 that that WDT cord-283985-8mdnkegz 246 16 have have VBP cord-283985-8mdnkegz 246 17 improved improve VBN cord-283985-8mdnkegz 246 18 the the DT cord-283985-8mdnkegz 246 19 quality quality NN cord-283985-8mdnkegz 246 20 of of IN cord-283985-8mdnkegz 246 21 the the DT cord-283985-8mdnkegz 246 22 original original JJ cord-283985-8mdnkegz 246 23 manuscript manuscript NN cord-283985-8mdnkegz 246 24 . . .