id sid tid token lemma pos cord-282927-jhma20de 1 1 key key JJ cord-282927-jhma20de 1 2 : : : cord-282927-jhma20de 1 3 cord-282927-jhma20de cord-282927-jhma20de JJ cord-282927-jhma20de 1 4 authors author NNS cord-282927-jhma20de 1 5 : : : cord-282927-jhma20de 1 6 Mondal Mondal NNP cord-282927-jhma20de 1 7 , , , cord-282927-jhma20de 1 8 Chittaranjan Chittaranjan NNP cord-282927-jhma20de 1 9 ; ; : cord-282927-jhma20de 1 10 Adak Adak NNP cord-282927-jhma20de 1 11 , , , cord-282927-jhma20de 1 12 Debadatta Debadatta NNP cord-282927-jhma20de 1 13 ; ; : cord-282927-jhma20de 1 14 Majumder Majumder NNP cord-282927-jhma20de 1 15 , , , cord-282927-jhma20de 1 16 Abhijit Abhijit NNP cord-282927-jhma20de 1 17 ; ; : cord-282927-jhma20de 1 18 Bairagi Bairagi NNP cord-282927-jhma20de 1 19 , , , cord-282927-jhma20de 1 20 Nandadulal Nandadulal NNP cord-282927-jhma20de 1 21 title title NN cord-282927-jhma20de 1 22 : : : cord-282927-jhma20de 2 1 Mitigating mitigate VBG cord-282927-jhma20de 2 2 the the DT cord-282927-jhma20de 2 3 transmission transmission NN cord-282927-jhma20de 2 4 of of IN cord-282927-jhma20de 2 5 infection infection NN cord-282927-jhma20de 2 6 and and CC cord-282927-jhma20de 2 7 death death NN cord-282927-jhma20de 2 8 due due IN cord-282927-jhma20de 2 9 to to IN cord-282927-jhma20de 2 10 SARS SARS NNP cord-282927-jhma20de 2 11 - - HYPH cord-282927-jhma20de 2 12 CoV-2 CoV-2 NNP cord-282927-jhma20de 2 13 through through IN cord-282927-jhma20de 2 14 non non JJ cord-282927-jhma20de 2 15 - - JJ cord-282927-jhma20de 2 16 pharmaceutical pharmaceutical JJ cord-282927-jhma20de 2 17 interventions intervention NNS cord-282927-jhma20de 2 18 and and CC cord-282927-jhma20de 2 19 repurposing repurpose VBG cord-282927-jhma20de 2 20 drugs drug NNS cord-282927-jhma20de 2 21 date date NN cord-282927-jhma20de 3 1 : : : cord-282927-jhma20de 3 2 2020 2020 CD cord-282927-jhma20de 3 3 - - HYPH cord-282927-jhma20de 3 4 09 09 CD cord-282927-jhma20de 3 5 - - HYPH cord-282927-jhma20de 3 6 28 28 CD cord-282927-jhma20de 3 7 journal journal NN cord-282927-jhma20de 3 8 : : : cord-282927-jhma20de 4 1 ISA ISA NNP cord-282927-jhma20de 4 2 Trans Trans NNP cord-282927-jhma20de 4 3 DOI DOI NNP cord-282927-jhma20de 4 4 : : : cord-282927-jhma20de 4 5 10.1016 10.1016 CD cord-282927-jhma20de 4 6 / / SYM cord-282927-jhma20de 4 7 j.isatra.2020.09.015 j.isatra.2020.09.015 CD cord-282927-jhma20de 4 8 sha sha XX cord-282927-jhma20de 4 9 : : : cord-282927-jhma20de 5 1 94671c5d16dcd3b1c423c3c26fde724195c0a769 94671c5d16dcd3b1c423c3c26fde724195c0a769 CD cord-282927-jhma20de 5 2 doc_id doc_id CD cord-282927-jhma20de 5 3 : : : cord-282927-jhma20de 5 4 282927 282927 CD cord-282927-jhma20de 5 5 cord_uid cord_uid FW cord-282927-jhma20de 5 6 : : : cord-282927-jhma20de 6 1 jhma20de jhma20de NNP cord-282927-jhma20de 7 1 The the DT cord-282927-jhma20de 7 2 Covid-19 covid-19 NN cord-282927-jhma20de 7 3 pandemic pandemic NN cord-282927-jhma20de 7 4 has have VBZ cord-282927-jhma20de 7 5 put put VBN cord-282927-jhma20de 7 6 the the DT cord-282927-jhma20de 7 7 world world NN cord-282927-jhma20de 7 8 under under IN cord-282927-jhma20de 7 9 immeasurable immeasurable JJ cord-282927-jhma20de 7 10 stress stress NN cord-282927-jhma20de 7 11 . . . cord-282927-jhma20de 8 1 There there EX cord-282927-jhma20de 8 2 is be VBZ cord-282927-jhma20de 8 3 no no DT cord-282927-jhma20de 8 4 specific specific JJ cord-282927-jhma20de 8 5 drug drug NN cord-282927-jhma20de 8 6 or or CC cord-282927-jhma20de 8 7 vaccine vaccine NN cord-282927-jhma20de 8 8 that that WDT cord-282927-jhma20de 8 9 can can MD cord-282927-jhma20de 8 10 cure cure VB cord-282927-jhma20de 8 11 the the DT cord-282927-jhma20de 8 12 infection infection NN cord-282927-jhma20de 8 13 or or CC cord-282927-jhma20de 8 14 protect protect VB cord-282927-jhma20de 8 15 people people NNS cord-282927-jhma20de 8 16 from from IN cord-282927-jhma20de 8 17 the the DT cord-282927-jhma20de 8 18 infection infection NN cord-282927-jhma20de 8 19 of of IN cord-282927-jhma20de 8 20 coronavirus coronavirus NN cord-282927-jhma20de 8 21 . . . cord-282927-jhma20de 9 1 It -PRON- PRP cord-282927-jhma20de 9 2 is be VBZ cord-282927-jhma20de 9 3 therefore therefore RB cord-282927-jhma20de 9 4 prudent prudent JJ cord-282927-jhma20de 9 5 to to TO cord-282927-jhma20de 9 6 use use VB cord-282927-jhma20de 9 7 the the DT cord-282927-jhma20de 9 8 existing exist VBG cord-282927-jhma20de 9 9 resources resource NNS cord-282927-jhma20de 9 10 and and CC cord-282927-jhma20de 9 11 control control NN cord-282927-jhma20de 9 12 strategies strategy NNS cord-282927-jhma20de 9 13 in in IN cord-282927-jhma20de 9 14 an an DT cord-282927-jhma20de 9 15 optimal optimal JJ cord-282927-jhma20de 9 16 way way NN cord-282927-jhma20de 9 17 to to TO cord-282927-jhma20de 9 18 contain contain VB cord-282927-jhma20de 9 19 the the DT cord-282927-jhma20de 9 20 virus virus NN cord-282927-jhma20de 9 21 spread spread NN cord-282927-jhma20de 9 22 and and CC cord-282927-jhma20de 9 23 provide provide VB cord-282927-jhma20de 9 24 the the DT cord-282927-jhma20de 9 25 best good JJS cord-282927-jhma20de 9 26 possible possible JJ cord-282927-jhma20de 9 27 treatments treatment NNS cord-282927-jhma20de 9 28 to to IN cord-282927-jhma20de 9 29 the the DT cord-282927-jhma20de 9 30 infected infected JJ cord-282927-jhma20de 9 31 individuals individual NNS cord-282927-jhma20de 9 32 . . . cord-282927-jhma20de 10 1 Use use NN cord-282927-jhma20de 10 2 of of IN cord-282927-jhma20de 10 3 the the DT cord-282927-jhma20de 10 4 repurposing repurpose VBG cord-282927-jhma20de 10 5 drugs drug NNS cord-282927-jhma20de 10 6 along along IN cord-282927-jhma20de 10 7 with with IN cord-282927-jhma20de 10 8 the the DT cord-282927-jhma20de 10 9 non non JJ cord-282927-jhma20de 10 10 - - JJ cord-282927-jhma20de 10 11 pharmaceutical pharmaceutical JJ cord-282927-jhma20de 10 12 intervention intervention NN cord-282927-jhma20de 10 13 strategies strategy NNS cord-282927-jhma20de 10 14 may may MD cord-282927-jhma20de 10 15 be be VB cord-282927-jhma20de 10 16 the the DT cord-282927-jhma20de 10 17 right right JJ cord-282927-jhma20de 10 18 way way NN cord-282927-jhma20de 10 19 for for IN cord-282927-jhma20de 10 20 fighting fighting NN cord-282927-jhma20de 10 21 against against IN cord-282927-jhma20de 10 22 the the DT cord-282927-jhma20de 10 23 ongoing ongoing JJ cord-282927-jhma20de 10 24 pandemic pandemic NN cord-282927-jhma20de 10 25 . . . cord-282927-jhma20de 11 1 It -PRON- PRP cord-282927-jhma20de 11 2 is be VBZ cord-282927-jhma20de 11 3 the the DT cord-282927-jhma20de 11 4 objective objective NN cord-282927-jhma20de 11 5 of of IN cord-282927-jhma20de 11 6 this this DT cord-282927-jhma20de 11 7 work work NN cord-282927-jhma20de 11 8 to to TO cord-282927-jhma20de 11 9 demonstrate demonstrate VB cord-282927-jhma20de 11 10 through through IN cord-282927-jhma20de 11 11 mathematical mathematical JJ cord-282927-jhma20de 11 12 modelling modelling NN cord-282927-jhma20de 11 13 and and CC cord-282927-jhma20de 11 14 analysis analysis NN cord-282927-jhma20de 11 15 how how WRB cord-282927-jhma20de 11 16 and and CC cord-282927-jhma20de 11 17 to to TO cord-282927-jhma20de 11 18 what what WDT cord-282927-jhma20de 11 19 extent extent NN cord-282927-jhma20de 11 20 such such JJ cord-282927-jhma20de 11 21 control control NN cord-282927-jhma20de 11 22 strategies strategy NNS cord-282927-jhma20de 11 23 can can MD cord-282927-jhma20de 11 24 improve improve VB cord-282927-jhma20de 11 25 the the DT cord-282927-jhma20de 11 26 overall overall JJ cord-282927-jhma20de 11 27 Covid-19 covid-19 JJ cord-282927-jhma20de 11 28 epidemic epidemic NN cord-282927-jhma20de 11 29 burden burden NN cord-282927-jhma20de 11 30 . . . cord-282927-jhma20de 12 1 The the DT cord-282927-jhma20de 12 2 criteria criterion NNS cord-282927-jhma20de 12 3 for for IN cord-282927-jhma20de 12 4 disease disease NN cord-282927-jhma20de 12 5 elimination elimination NN cord-282927-jhma20de 12 6 & & CC cord-282927-jhma20de 12 7 persistence persistence NN cord-282927-jhma20de 12 8 were be VBD cord-282927-jhma20de 12 9 established establish VBN cord-282927-jhma20de 12 10 through through IN cord-282927-jhma20de 12 11 the the DT cord-282927-jhma20de 12 12 basic basic JJ cord-282927-jhma20de 12 13 reproduction reproduction NN cord-282927-jhma20de 12 14 number number NN cord-282927-jhma20de 12 15 . . . cord-282927-jhma20de 13 1 A a DT cord-282927-jhma20de 13 2 case case NN cord-282927-jhma20de 13 3 study study NN cord-282927-jhma20de 13 4 with with IN cord-282927-jhma20de 13 5 the the DT cord-282927-jhma20de 13 6 Indian indian JJ cord-282927-jhma20de 13 7 Covid-19 covid-19 NN cord-282927-jhma20de 13 8 epidemic epidemic NN cord-282927-jhma20de 13 9 data datum NNS cord-282927-jhma20de 13 10 is be VBZ cord-282927-jhma20de 13 11 presented present VBN cord-282927-jhma20de 13 12 to to TO cord-282927-jhma20de 13 13 visualize visualize VB cord-282927-jhma20de 13 14 and and CC cord-282927-jhma20de 13 15 illustrate illustrate VB cord-282927-jhma20de 13 16 the the DT cord-282927-jhma20de 13 17 effects effect NNS cord-282927-jhma20de 13 18 of of IN cord-282927-jhma20de 13 19 lockdown lockdown NN cord-282927-jhma20de 13 20 , , , cord-282927-jhma20de 13 21 maintaining maintain VBG cord-282927-jhma20de 13 22 personal personal JJ cord-282927-jhma20de 13 23 hygiene hygiene NN cord-282927-jhma20de 13 24 & & CC cord-282927-jhma20de 13 25 safe safe JJ cord-282927-jhma20de 13 26 distancing distancing NN cord-282927-jhma20de 13 27 , , , cord-282927-jhma20de 13 28 and and CC cord-282927-jhma20de 13 29 repurposing repurpose VBG cord-282927-jhma20de 13 30 drugs drug NNS cord-282927-jhma20de 13 31 . . . cord-282927-jhma20de 14 1 It -PRON- PRP cord-282927-jhma20de 14 2 is be VBZ cord-282927-jhma20de 14 3 shown show VBN cord-282927-jhma20de 14 4 that that IN cord-282927-jhma20de 14 5 India India NNP cord-282927-jhma20de 14 6 can can MD cord-282927-jhma20de 14 7 significantly significantly RB cord-282927-jhma20de 14 8 improve improve VB cord-282927-jhma20de 14 9 the the DT cord-282927-jhma20de 14 10 overall overall JJ cord-282927-jhma20de 14 11 Covid-19 covid-19 JJ cord-282927-jhma20de 14 12 epidemic epidemic NN cord-282927-jhma20de 14 13 burden burden NN cord-282927-jhma20de 14 14 through through IN cord-282927-jhma20de 14 15 the the DT cord-282927-jhma20de 14 16 combined combine VBN cord-282927-jhma20de 14 17 use use NN cord-282927-jhma20de 14 18 of of IN cord-282927-jhma20de 14 19 NPIs npi NNS cord-282927-jhma20de 14 20 and and CC cord-282927-jhma20de 14 21 repurposing repurpose VBG cord-282927-jhma20de 14 22 drugs drug NNS cord-282927-jhma20de 14 23 though though IN cord-282927-jhma20de 14 24 containment containment NN cord-282927-jhma20de 14 25 of of IN cord-282927-jhma20de 14 26 spreading spreading NN cord-282927-jhma20de 14 27 is be VBZ cord-282927-jhma20de 14 28 difficult difficult JJ cord-282927-jhma20de 14 29 without without IN cord-282927-jhma20de 14 30 serious serious JJ cord-282927-jhma20de 14 31 community community NN cord-282927-jhma20de 14 32 participation participation NN cord-282927-jhma20de 14 33 . . . cord-282927-jhma20de 15 1 The the DT cord-282927-jhma20de 15 2 world world NN cord-282927-jhma20de 15 3 has have VBZ cord-282927-jhma20de 15 4 been be VBN cord-282927-jhma20de 15 5 passing pass VBG cord-282927-jhma20de 15 6 through through IN cord-282927-jhma20de 15 7 an an DT cord-282927-jhma20de 15 8 extraordinary extraordinary JJ cord-282927-jhma20de 15 9 crisis crisis NN cord-282927-jhma20de 15 10 period period NN cord-282927-jhma20de 15 11 since since IN cord-282927-jhma20de 15 12 late late JJ cord-282927-jhma20de 15 13 December December NNP cord-282927-jhma20de 15 14 2019 2019 CD cord-282927-jhma20de 15 15 due due IN cord-282927-jhma20de 15 16 to to IN cord-282927-jhma20de 15 17 an an DT cord-282927-jhma20de 15 18 extraor- extraor- JJ cord-282927-jhma20de 15 19 25 25 CD cord-282927-jhma20de 15 20 dinary dinary JJ cord-282927-jhma20de 15 21 pathogen pathogen NN cord-282927-jhma20de 15 22 Covid-19 Covid-19 NNP cord-282927-jhma20de 15 23 [ [ -LRB- cord-282927-jhma20de 15 24 1 1 CD cord-282927-jhma20de 15 25 ] ] -RRB- cord-282927-jhma20de 15 26 . . . cord-282927-jhma20de 16 1 This this DT cord-282927-jhma20de 16 2 virus virus NN cord-282927-jhma20de 16 3 is be VBZ cord-282927-jhma20de 16 4 extraordinary extraordinary JJ cord-282927-jhma20de 16 5 because because IN cord-282927-jhma20de 16 6 our -PRON- PRP$ cord-282927-jhma20de 16 7 immune immune JJ cord-282927-jhma20de 16 8 system system NN cord-282927-jhma20de 16 9 is be VBZ cord-282927-jhma20de 16 10 unable unable JJ cord-282927-jhma20de 16 11 to to TO cord-282927-jhma20de 16 12 fight fight VB cord-282927-jhma20de 16 13 against against IN cord-282927-jhma20de 16 14 this this DT cord-282927-jhma20de 16 15 26 26 CD cord-282927-jhma20de 16 16 virus virus NN cord-282927-jhma20de 16 17 , , , cord-282927-jhma20de 16 18 and and CC cord-282927-jhma20de 16 19 it -PRON- PRP cord-282927-jhma20de 16 20 has have VBZ cord-282927-jhma20de 16 21 stunning stunning JJ cord-282927-jhma20de 16 22 transmission transmission NN cord-282927-jhma20de 16 23 capability capability NN cord-282927-jhma20de 16 24 from from IN cord-282927-jhma20de 16 25 human human NN cord-282927-jhma20de 16 26 - - HYPH cord-282927-jhma20de 16 27 to to IN cord-282927-jhma20de 16 28 - - HYPH cord-282927-jhma20de 16 29 human human NN cord-282927-jhma20de 16 30 . . . cord-282927-jhma20de 17 1 The the DT cord-282927-jhma20de 17 2 crisis crisis NN cord-282927-jhma20de 17 3 is be VBZ cord-282927-jhma20de 17 4 extraordinary extraordinary JJ cord-282927-jhma20de 17 5 because because IN cord-282927-jhma20de 17 6 it -PRON- PRP cord-282927-jhma20de 17 7 has have VBZ cord-282927-jhma20de 17 8 27 27 CD cord-282927-jhma20de 17 9 not not RB cord-282927-jhma20de 17 10 only only RB cord-282927-jhma20de 17 11 caused cause VBD cord-282927-jhma20de 17 12 a a DT cord-282927-jhma20de 17 13 global global JJ cord-282927-jhma20de 17 14 medical medical JJ cord-282927-jhma20de 17 15 crisis crisis NN cord-282927-jhma20de 17 16 but but CC cord-282927-jhma20de 17 17 also also RB cord-282927-jhma20de 17 18 put put VBD cord-282927-jhma20de 17 19 the the DT cord-282927-jhma20de 17 20 world world NN cord-282927-jhma20de 17 21 into into IN cord-282927-jhma20de 17 22 unprecedented unprecedented JJ cord-282927-jhma20de 17 23 economic economic JJ cord-282927-jhma20de 17 24 and and CC cord-282927-jhma20de 17 25 social social JJ cord-282927-jhma20de 17 26 crises crisis NNS cord-282927-jhma20de 17 27 [ [ -LRB- cord-282927-jhma20de 17 28 2 2 CD cord-282927-jhma20de 17 29 ] ] -RRB- cord-282927-jhma20de 17 30 . . . cord-282927-jhma20de 18 1 The the DT cord-282927-jhma20de 18 2 was be VBD cord-282927-jhma20de 18 3 used use VBN cord-282927-jhma20de 18 4 to to TO cord-282927-jhma20de 18 5 estimate estimate VB cord-282927-jhma20de 18 6 the the DT cord-282927-jhma20de 18 7 final final JJ cord-282927-jhma20de 18 8 size size NN cord-282927-jhma20de 18 9 and and CC cord-282927-jhma20de 18 10 its -PRON- PRP$ cord-282927-jhma20de 18 11 peak peak NN cord-282927-jhma20de 18 12 time time NN cord-282927-jhma20de 18 13 for for IN cord-282927-jhma20de 18 14 China China NNP cord-282927-jhma20de 18 15 , , , cord-282927-jhma20de 18 16 South South NNP cord-282927-jhma20de 18 17 Korea Korea NNP cord-282927-jhma20de 18 18 , , , cord-282927-jhma20de 18 19 and and CC cord-282927-jhma20de 18 20 the the DT cord-282927-jhma20de 18 21 rest rest NN cord-282927-jhma20de 18 22 of of IN cord-282927-jhma20de 18 23 the the DT cord-282927-jhma20de 18 24 World World NNP cord-282927-jhma20de 18 25 [ [ -LRB- cord-282927-jhma20de 18 26 35 35 CD cord-282927-jhma20de 18 27 ] ] -RRB- cord-282927-jhma20de 18 28 . . . cord-282927-jhma20de 19 1 In in IN cord-282927-jhma20de 19 2 [ [ -LRB- cord-282927-jhma20de 19 3 36 36 CD cord-282927-jhma20de 19 4 ] ] -RRB- cord-282927-jhma20de 19 5 , , , cord-282927-jhma20de 19 6 97 97 CD cord-282927-jhma20de 19 7 a a DT cord-282927-jhma20de 19 8 simple simple JJ cord-282927-jhma20de 19 9 SIR SIR NNP cord-282927-jhma20de 19 10 model model NN cord-282927-jhma20de 19 11 was be VBD cord-282927-jhma20de 19 12 used use VBN cord-282927-jhma20de 19 13 to to TO cord-282927-jhma20de 19 14 estimate estimate VB cord-282927-jhma20de 19 15 various various JJ cord-282927-jhma20de 19 16 epidemic epidemic NN cord-282927-jhma20de 19 17 parameters parameter NNS cord-282927-jhma20de 19 18 by by IN cord-282927-jhma20de 19 19 fitting fit VBG cord-282927-jhma20de 19 20 the the DT cord-282927-jhma20de 19 21 epidemic epidemic NN cord-282927-jhma20de 19 22 data datum NNS cord-282927-jhma20de 19 23 of of IN cord-282927-jhma20de 19 24 the the DT cord-282927-jhma20de 19 25 Republic Republic NNP cord-282927-jhma20de 19 26 98 98 CD cord-282927-jhma20de 19 27 of of IN cord-282927-jhma20de 19 28 Korea Korea NNP cord-282927-jhma20de 19 29 . . . cord-282927-jhma20de 20 1 Nonlinear nonlinear JJ cord-282927-jhma20de 20 2 incidence incidence NN cord-282927-jhma20de 20 3 was be VBD cord-282927-jhma20de 20 4 used use VBN cord-282927-jhma20de 20 5 in in IN cord-282927-jhma20de 20 6 an an DT cord-282927-jhma20de 20 7 epidemic epidemic NN cord-282927-jhma20de 20 8 model model NN cord-282927-jhma20de 20 9 to to TO cord-282927-jhma20de 20 10 show show VB cord-282927-jhma20de 20 11 that that IN cord-282927-jhma20de 20 12 lockdown lockdown NN cord-282927-jhma20de 20 13 can can MD cord-282927-jhma20de 20 14 make make VB cord-282927-jhma20de 20 15 significant significant JJ cord-282927-jhma20de 20 16 delay delay NN cord-282927-jhma20de 20 17 to to IN cord-282927-jhma20de 20 18 99 99 CD cord-282927-jhma20de 20 19 attain attain VB cord-282927-jhma20de 20 20 the the DT cord-282927-jhma20de 20 21 epidemic epidemic NN cord-282927-jhma20de 20 22 peak peak NN cord-282927-jhma20de 20 23 but but CC cord-282927-jhma20de 20 24 unable unable JJ cord-282927-jhma20de 20 25 to to TO cord-282927-jhma20de 20 26 eradicate eradicate VB cord-282927-jhma20de 20 27 the the DT cord-282927-jhma20de 20 28 disease disease NN cord-282927-jhma20de 20 29 [ [ -LRB- cord-282927-jhma20de 20 30 37 37 CD cord-282927-jhma20de 20 31 ] ] -RRB- cord-282927-jhma20de 20 32 . . . cord-282927-jhma20de 21 1 A a DT cord-282927-jhma20de 21 2 simple simple JJ cord-282927-jhma20de 21 3 iteration iteration NN cord-282927-jhma20de 21 4 model model NN cord-282927-jhma20de 21 5 , , , cord-282927-jhma20de 21 6 which which WDT cord-282927-jhma20de 21 7 uses use VBZ cord-282927-jhma20de 21 8 only only RB cord-282927-jhma20de 21 9 daily daily RB cord-282927-jhma20de 21 10 100 100 CD cord-282927-jhma20de 21 11 values value NNS cord-282927-jhma20de 21 12 of of IN cord-282927-jhma20de 21 13 confirmed confirm VBN cord-282927-jhma20de 21 14 cases case NNS cord-282927-jhma20de 21 15 , , , cord-282927-jhma20de 21 16 was be VBD cord-282927-jhma20de 21 17 considered consider VBN cord-282927-jhma20de 21 18 to to TO cord-282927-jhma20de 21 19 forecast forecast VB cord-282927-jhma20de 21 20 the the DT cord-282927-jhma20de 21 21 covid covid JJ cord-282927-jhma20de 21 22 positive positive JJ cord-282927-jhma20de 21 23 cases case NNS cord-282927-jhma20de 21 24 for for IN cord-282927-jhma20de 21 25 the the DT cord-282927-jhma20de 21 26 United United NNP cord-282927-jhma20de 21 27 States States NNP cord-282927-jhma20de 21 28 , , , cord-282927-jhma20de 21 29 Slovenia Slovenia NNP cord-282927-jhma20de 21 30 , , , cord-282927-jhma20de 21 31 Iran Iran NNP cord-282927-jhma20de 21 32 , , , cord-282927-jhma20de 21 33 In in IN cord-282927-jhma20de 21 34 this this DT cord-282927-jhma20de 21 35 paper paper NN cord-282927-jhma20de 21 36 , , , cord-282927-jhma20de 21 37 we -PRON- PRP cord-282927-jhma20de 21 38 have have VBP cord-282927-jhma20de 21 39 proposed propose VBN cord-282927-jhma20de 21 40 a a DT cord-282927-jhma20de 21 41 minimal minimal JJ cord-282927-jhma20de 21 42 epidemic epidemic NN cord-282927-jhma20de 21 43 model model NN cord-282927-jhma20de 21 44 to to TO cord-282927-jhma20de 21 45 capture capture VB cord-282927-jhma20de 21 46 the the DT cord-282927-jhma20de 21 47 dynamics dynamic NNS cord-282927-jhma20de 21 48 of of IN cord-282927-jhma20de 21 49 observed observed JJ cord-282927-jhma20de 21 50 data datum NNS cord-282927-jhma20de 21 51 of of IN cord-282927-jhma20de 21 52 detecting detect VBG cord-282927-jhma20de 21 53 , , , cord-282927-jhma20de 21 54 108 108 CD cord-282927-jhma20de 21 55 recovered recover VBD cord-282927-jhma20de 21 56 and and CC cord-282927-jhma20de 21 57 death death NN cord-282927-jhma20de 21 58 cases case NNS cord-282927-jhma20de 21 59 of of IN cord-282927-jhma20de 21 60 any any DT cord-282927-jhma20de 21 61 Covid-19 covid-19 NN cord-282927-jhma20de 21 62 affected affected JJ cord-282927-jhma20de 21 63 country country NN cord-282927-jhma20de 21 64 . . . cord-282927-jhma20de 22 1 The the DT cord-282927-jhma20de 22 2 model model NN cord-282927-jhma20de 22 3 is be VBZ cord-282927-jhma20de 22 4 then then RB cord-282927-jhma20de 22 5 extended extend VBN cord-282927-jhma20de 22 6 to to TO cord-282927-jhma20de 22 7 include include VB cord-282927-jhma20de 22 8 three three CD cord-282927-jhma20de 22 9 control control NN cord-282927-jhma20de 22 10 109 109 CD cord-282927-jhma20de 22 11 strategies strategy NNS cord-282927-jhma20de 22 12 to to TO cord-282927-jhma20de 22 13 mitigate mitigate VB cord-282927-jhma20de 22 14 the the DT cord-282927-jhma20de 22 15 transmission transmission NN cord-282927-jhma20de 22 16 of of IN cord-282927-jhma20de 22 17 Covid-19 covid-19 NN cord-282927-jhma20de 22 18 and and CC cord-282927-jhma20de 22 19 to to TO cord-282927-jhma20de 22 20 reduce reduce VB cord-282927-jhma20de 22 21 its -PRON- PRP$ cord-282927-jhma20de 22 22 related related JJ cord-282927-jhma20de 22 23 deaths death NNS cord-282927-jhma20de 22 24 . . . cord-282927-jhma20de 23 1 Human human NN cord-282927-jhma20de 23 2 - - HYPH cord-282927-jhma20de 23 3 to to IN cord-282927-jhma20de 23 4 - - HYPH cord-282927-jhma20de 23 5 human human NN cord-282927-jhma20de 23 6 transmission transmission NN cord-282927-jhma20de 23 7 110 110 CD cord-282927-jhma20de 23 8 of of IN cord-282927-jhma20de 23 9 infection infection NN cord-282927-jhma20de 23 10 depends depend VBZ cord-282927-jhma20de 23 11 mainly mainly RB cord-282927-jhma20de 23 12 on on IN cord-282927-jhma20de 23 13 two two CD cord-282927-jhma20de 23 14 things thing NNS cord-282927-jhma20de 23 15 : : : cord-282927-jhma20de 23 16 the the DT cord-282927-jhma20de 23 17 number number NN cord-282927-jhma20de 23 18 of of IN cord-282927-jhma20de 23 19 per per IN cord-282927-jhma20de 23 20 capita capita FW cord-282927-jhma20de 23 21 daily daily JJ cord-282927-jhma20de 23 22 contacts contact NNS cord-282927-jhma20de 23 23 between between IN cord-282927-jhma20de 23 24 susceptible susceptible JJ cord-282927-jhma20de 23 25 and and CC cord-282927-jhma20de 23 26 infec-111 infec-111 JJ cord-282927-jhma20de 23 27 tives tive NNS cord-282927-jhma20de 23 28 , , , cord-282927-jhma20de 23 29 and and CC cord-282927-jhma20de 23 30 the the DT cord-282927-jhma20de 23 31 probability probability NN cord-282927-jhma20de 23 32 of of IN cord-282927-jhma20de 23 33 disease disease NN cord-282927-jhma20de 23 34 transmission transmission NN cord-282927-jhma20de 23 35 per per IN cord-282927-jhma20de 23 36 effective effective JJ cord-282927-jhma20de 23 37 contact contact NN cord-282927-jhma20de 23 38 [ [ -LRB- cord-282927-jhma20de 23 39 42 42 CD cord-282927-jhma20de 23 40 ] ] -RRB- cord-282927-jhma20de 23 41 . . . cord-282927-jhma20de 24 1 As as IN cord-282927-jhma20de 24 2 mentioned mention VBN cord-282927-jhma20de 24 3 before before RB cord-282927-jhma20de 24 4 , , , cord-282927-jhma20de 24 5 per per IN cord-282927-jhma20de 24 6 capita capita FW cord-282927-jhma20de 24 7 daily daily JJ cord-282927-jhma20de 24 8 112 112 CD cord-282927-jhma20de 24 9 contacts contact NNS cord-282927-jhma20de 24 10 may may MD cord-282927-jhma20de 24 11 be be VB cord-282927-jhma20de 24 12 significantly significantly RB cord-282927-jhma20de 24 13 reduced reduce VBN cord-282927-jhma20de 24 14 through through IN cord-282927-jhma20de 24 15 lockdown lockdown NN cord-282927-jhma20de 24 16 , , , cord-282927-jhma20de 24 17 while while IN cord-282927-jhma20de 24 18 the the DT cord-282927-jhma20de 24 19 probability probability NN cord-282927-jhma20de 24 20 of of IN cord-282927-jhma20de 24 21 virus virus NN cord-282927-jhma20de 24 22 transmission transmission NN cord-282927-jhma20de 24 23 can can MD cord-282927-jhma20de 24 24 be be VB cord-282927-jhma20de 24 25 reduced reduce VBN cord-282927-jhma20de 24 26 113 113 CD cord-282927-jhma20de 24 27 by by IN cord-282927-jhma20de 24 28 using use VBG cord-282927-jhma20de 24 29 face face NN cord-282927-jhma20de 24 30 masks mask NNS cord-282927-jhma20de 24 31 and and CC cord-282927-jhma20de 24 32 other other JJ cord-282927-jhma20de 24 33 good good JJ cord-282927-jhma20de 24 34 hygiene hygiene NN cord-282927-jhma20de 24 35 practices practice NNS cord-282927-jhma20de 24 36 . . . cord-282927-jhma20de 25 1 We -PRON- PRP cord-282927-jhma20de 25 2 , , , cord-282927-jhma20de 25 3 therefore therefore RB cord-282927-jhma20de 25 4 , , , cord-282927-jhma20de 25 5 used use VBD cord-282927-jhma20de 25 6 these these DT cord-282927-jhma20de 25 7 nonpharmaceutical nonpharmaceutical JJ cord-282927-jhma20de 25 8 interventions intervention NNS cord-282927-jhma20de 25 9 as as IN cord-282927-jhma20de 25 10 114 114 CD cord-282927-jhma20de 25 11 two two CD cord-282927-jhma20de 25 12 control control NN cord-282927-jhma20de 25 13 measures measure NNS cord-282927-jhma20de 25 14 . . . cord-282927-jhma20de 26 1 The the DT cord-282927-jhma20de 26 2 third third JJ cord-282927-jhma20de 26 3 control control NN cord-282927-jhma20de 26 4 is be VBZ cord-282927-jhma20de 26 5 used use VBN cord-282927-jhma20de 26 6 to to TO cord-282927-jhma20de 26 7 reduce reduce VB cord-282927-jhma20de 26 8 the the DT cord-282927-jhma20de 26 9 death death NN cord-282927-jhma20de 26 10 rate rate NN cord-282927-jhma20de 26 11 of of IN cord-282927-jhma20de 26 12 severely severely RB cord-282927-jhma20de 26 13 infected infect VBN cord-282927-jhma20de 26 14 Covid-19 covid-19 NN cord-282927-jhma20de 26 15 patients patient NNS cord-282927-jhma20de 26 16 using use VBG cord-282927-jhma20de 26 17 115 115 CD cord-282927-jhma20de 26 18 repurposing repurpose VBG cord-282927-jhma20de 26 19 drugs drug NNS cord-282927-jhma20de 26 20 . . . cord-282927-jhma20de 27 1 The the DT cord-282927-jhma20de 27 2 proposed propose VBN cord-282927-jhma20de 27 3 epidemic epidemic NN cord-282927-jhma20de 27 4 model model NN cord-282927-jhma20de 27 5 is be VBZ cord-282927-jhma20de 27 6 then then RB cord-282927-jhma20de 27 7 analyzed analyze VBN cord-282927-jhma20de 27 8 to to TO cord-282927-jhma20de 27 9 determine determine VB cord-282927-jhma20de 27 10 the the DT cord-282927-jhma20de 27 11 criteria criterion NNS cord-282927-jhma20de 27 12 for for IN cord-282927-jhma20de 27 13 persistence persistence NN cord-282927-jhma20de 27 14 and and CC cord-282927-jhma20de 27 15 extinc-116 extinc-116 DT cord-282927-jhma20de 27 16 tion tion NN cord-282927-jhma20de 27 17 of of IN cord-282927-jhma20de 27 18 the the DT cord-282927-jhma20de 27 19 disease disease NN cord-282927-jhma20de 27 20 . . . cord-282927-jhma20de 28 1 It -PRON- PRP cord-282927-jhma20de 28 2 is be VBZ cord-282927-jhma20de 28 3 shown show VBN cord-282927-jhma20de 28 4 that that IN cord-282927-jhma20de 28 5 repurposing repurpose VBG cord-282927-jhma20de 28 6 drugs drug NNS cord-282927-jhma20de 28 7 is be VBZ cord-282927-jhma20de 28 8 very very RB cord-282927-jhma20de 28 9 useful useful JJ cord-282927-jhma20de 28 10 in in IN cord-282927-jhma20de 28 11 saving save VBG cord-282927-jhma20de 28 12 lives life NNS cord-282927-jhma20de 28 13 and and CC cord-282927-jhma20de 28 14 increasing increase VBG cord-282927-jhma20de 28 15 the the DT cord-282927-jhma20de 28 16 recovery recovery NN cord-282927-jhma20de 28 17 rate rate NN cord-282927-jhma20de 28 18 . . . cord-282927-jhma20de 29 1 Through through IN cord-282927-jhma20de 29 2 a a DT cord-282927-jhma20de 29 3 case case NN cord-282927-jhma20de 29 4 study study NN cord-282927-jhma20de 29 5 , , , cord-282927-jhma20de 29 6 it -PRON- PRP cord-282927-jhma20de 29 7 is be VBZ cord-282927-jhma20de 29 8 shown show VBN cord-282927-jhma20de 29 9 that that IN cord-282927-jhma20de 29 10 India India NNP cord-282927-jhma20de 29 11 can can MD cord-282927-jhma20de 29 12 significantly significantly RB cord-282927-jhma20de 29 13 improve improve VB cord-282927-jhma20de 29 14 the the DT cord-282927-jhma20de 29 15 overall overall JJ cord-282927-jhma20de 29 16 Covid-19 covid-19 JJ cord-282927-jhma20de 29 17 epidemic epidemic NN cord-282927-jhma20de 29 18 burden burden NN cord-282927-jhma20de 29 19 through through IN cord-282927-jhma20de 29 20 118 118 CD cord-282927-jhma20de 29 21 the the DT cord-282927-jhma20de 29 22 combined combine VBN cord-282927-jhma20de 29 23 use use NN cord-282927-jhma20de 29 24 of of IN cord-282927-jhma20de 29 25 NPIs npi NNS cord-282927-jhma20de 29 26 and and CC cord-282927-jhma20de 29 27 repurposing repurpose VBG cord-282927-jhma20de 29 28 drugs drug NNS cord-282927-jhma20de 29 29 and and CC cord-282927-jhma20de 29 30 it -PRON- PRP cord-282927-jhma20de 29 31 is be VBZ cord-282927-jhma20de 29 32 true true JJ cord-282927-jhma20de 29 33 for for IN cord-282927-jhma20de 29 34 any any DT cord-282927-jhma20de 29 35 other other JJ cord-282927-jhma20de 29 36 country country NN cord-282927-jhma20de 29 37 . . . cord-282927-jhma20de 30 1 India India NNP cord-282927-jhma20de 30 2 can can MD cord-282927-jhma20de 30 3 save save VB cord-282927-jhma20de 30 4 lives life NNS cord-282927-jhma20de 30 5 of of IN cord-282927-jhma20de 30 6 4794 4794 CD cord-282927-jhma20de 30 7 119 119 CD cord-282927-jhma20de 30 8 corona corona NN cord-282927-jhma20de 30 9 infected infect VBN cord-282927-jhma20de 30 10 patients patient NNS cord-282927-jhma20de 30 11 in in IN cord-282927-jhma20de 30 12 the the DT cord-282927-jhma20de 30 13 next next JJ cord-282927-jhma20de 30 14 one one CD cord-282927-jhma20de 30 15 month month NN cord-282927-jhma20de 30 16 ( ( -LRB- cord-282927-jhma20de 30 17 August August NNP cord-282927-jhma20de 30 18 28 28 CD cord-282927-jhma20de 30 19 to to IN cord-282927-jhma20de 30 20 September September NNP cord-282927-jhma20de 30 21 26 26 CD cord-282927-jhma20de 30 22 ) ) -RRB- cord-282927-jhma20de 30 23 if if IN cord-282927-jhma20de 30 24 the the DT cord-282927-jhma20de 30 25 repurposing repurpose VBG cord-282927-jhma20de 30 26 drug drug NN cord-282927-jhma20de 30 27 has have VBZ cord-282927-jhma20de 30 28 efficacy efficacy NN cord-282927-jhma20de 30 29 0.3 0.3 CD cord-282927-jhma20de 30 30 . . . cord-282927-jhma20de 31 1 The the DT cord-282927-jhma20de 31 2 rest rest NN cord-282927-jhma20de 31 3 of of IN cord-282927-jhma20de 31 4 the the DT cord-282927-jhma20de 31 5 paper paper NN cord-282927-jhma20de 31 6 is be VBZ cord-282927-jhma20de 31 7 organized organize VBN cord-282927-jhma20de 31 8 as as IN cord-282927-jhma20de 31 9 follows follow NNS cord-282927-jhma20de 31 10 . . . cord-282927-jhma20de 32 1 In in IN cord-282927-jhma20de 32 2 Section section NN cord-282927-jhma20de 32 3 2 2 CD cord-282927-jhma20de 32 4 , , , cord-282927-jhma20de 32 5 we -PRON- PRP cord-282927-jhma20de 32 6 present present VBP cord-282927-jhma20de 32 7 the the DT cord-282927-jhma20de 32 8 mathematical mathematical JJ cord-282927-jhma20de 32 9 model model NN cord-282927-jhma20de 32 10 to to TO cord-282927-jhma20de 32 11 be be VB cord-282927-jhma20de 32 12 analyzed analyze VBN cord-282927-jhma20de 32 13 . . . cord-282927-jhma20de 33 1 Different different JJ cord-282927-jhma20de 33 2 mathematical mathematical JJ cord-282927-jhma20de 33 3 results result NNS cord-282927-jhma20de 33 4 that that WDT cord-282927-jhma20de 33 5 determine determine VBP cord-282927-jhma20de 33 6 the the DT cord-282927-jhma20de 33 7 dynamics dynamic NNS cord-282927-jhma20de 33 8 of of IN cord-282927-jhma20de 33 9 the the DT cord-282927-jhma20de 33 10 system system NN cord-282927-jhma20de 33 11 are be VBP cord-282927-jhma20de 33 12 given give VBN cord-282927-jhma20de 33 13 in in IN cord-282927-jhma20de 33 14 Section section NN cord-282927-jhma20de 33 15 3 3 CD cord-282927-jhma20de 33 16 . . . cord-282927-jhma20de 34 1 A a DT cord-282927-jhma20de 34 2 case case NN cord-282927-jhma20de 34 3 study study NN cord-282927-jhma20de 34 4 with with IN cord-282927-jhma20de 34 5 Here here RB cord-282927-jhma20de 34 6 we -PRON- PRP cord-282927-jhma20de 34 7 consider consider VBP cord-282927-jhma20de 34 8 five five CD cord-282927-jhma20de 34 9 compartments compartment NNS cord-282927-jhma20de 34 10 , , , cord-282927-jhma20de 34 11 viz viz NN cord-282927-jhma20de 34 12 . . . cord-282927-jhma20de 35 1 susceptible susceptible JJ cord-282927-jhma20de 35 2 ( ( -LRB- cord-282927-jhma20de 35 3 S S NNP cord-282927-jhma20de 35 4 ) ) -RRB- cord-282927-jhma20de 35 5 , , , cord-282927-jhma20de 35 6 latent latent JJ cord-282927-jhma20de 35 7 ( ( -LRB- cord-282927-jhma20de 35 8 E e NN cord-282927-jhma20de 35 9 ) ) -RRB- cord-282927-jhma20de 36 1 , , , cord-282927-jhma20de 36 2 home home NN cord-282927-jhma20de 36 3 isolated isolate VBN cord-282927-jhma20de 36 4 ( ( -LRB- cord-282927-jhma20de 36 5 I I NNP cord-282927-jhma20de 36 6 h h NN cord-282927-jhma20de 36 7 ) ) -RRB- cord-282927-jhma20de 36 8 , , , cord-282927-jhma20de 36 9 hospitalized hospitalize VBN cord-282927-jhma20de 36 10 ( ( -LRB- cord-282927-jhma20de 36 11 I i NN cord-282927-jhma20de 36 12 c c NNP cord-282927-jhma20de 36 13 ) ) -RRB- cord-282927-jhma20de 36 14 and and CC cord-282927-jhma20de 36 15 127 127 CD cord-282927-jhma20de 36 16 recovered recover VBD cord-282927-jhma20de 36 17 ( ( -LRB- cord-282927-jhma20de 36 18 R r NN cord-282927-jhma20de 36 19 ) ) -RRB- cord-282927-jhma20de 36 20 classes class NNS cord-282927-jhma20de 36 21 , , , cord-282927-jhma20de 36 22 to to TO cord-282927-jhma20de 36 23 classify classify VB cord-282927-jhma20de 36 24 the the DT cord-282927-jhma20de 36 25 human human JJ cord-282927-jhma20de 36 26 population population NN cord-282927-jhma20de 36 27 of of IN cord-282927-jhma20de 36 28 a a DT cord-282927-jhma20de 36 29 coronavirus coronavirus NN cord-282927-jhma20de 36 30 affected affect VBN cord-282927-jhma20de 36 31 country country NN cord-282927-jhma20de 36 32 based base VBN cord-282927-jhma20de 36 33 on on IN cord-282927-jhma20de 36 34 their -PRON- PRP$ cord-282927-jhma20de 36 35 health health NN cord-282927-jhma20de 36 36 status status NN cord-282927-jhma20de 36 37 . . . cord-282927-jhma20de 37 1 Thus thus RB cord-282927-jhma20de 37 2 , , , cord-282927-jhma20de 37 3 N(t N(t NNP cord-282927-jhma20de 37 4 ) ) -RRB- cord-282927-jhma20de 37 5 = = NFP cord-282927-jhma20de 38 1 S S NNP cord-282927-jhma20de 39 1 ( ( -LRB- cord-282927-jhma20de 39 2 t)+E(t)+I t)+e(t)+i IN cord-282927-jhma20de 39 3 h h NNP cord-282927-jhma20de 39 4 ( ( -LRB- cord-282927-jhma20de 39 5 t)+I t)+i CD cord-282927-jhma20de 39 6 c c NN cord-282927-jhma20de 39 7 ( ( -LRB- cord-282927-jhma20de 39 8 t)+R(t t)+r(t NN cord-282927-jhma20de 39 9 ) ) -RRB- cord-282927-jhma20de 39 10 represents represent VBZ cord-282927-jhma20de 39 11 the the DT cord-282927-jhma20de 39 12 total total JJ cord-282927-jhma20de 39 13 population population NN cord-282927-jhma20de 39 14 of of IN cord-282927-jhma20de 39 15 the the DT cord-282927-jhma20de 39 16 country country NN cord-282927-jhma20de 39 17 at at IN cord-282927-jhma20de 39 18 any any DT cord-282927-jhma20de 39 19 time time NN cord-282927-jhma20de 40 1 t. t. NNP cord-282927-jhma20de 41 1 As as IN cord-282927-jhma20de 41 2 SARS SARS NNP cord-282927-jhma20de 41 3 - - HYPH cord-282927-jhma20de 41 4 CoV-2 CoV-2 NNP cord-282927-jhma20de 41 5 129 129 CD cord-282927-jhma20de 41 6 is be VBZ cord-282927-jhma20de 41 7 a a DT cord-282927-jhma20de 41 8 novel novel JJ cord-282927-jhma20de 41 9 virus virus NN cord-282927-jhma20de 41 10 , , , cord-282927-jhma20de 41 11 every every DT cord-282927-jhma20de 41 12 individual individual NN cord-282927-jhma20de 41 13 is be VBZ cord-282927-jhma20de 41 14 assumed assume VBN cord-282927-jhma20de 41 15 to to TO cord-282927-jhma20de 41 16 be be VB cord-282927-jhma20de 41 17 susceptible susceptible JJ cord-282927-jhma20de 41 18 to to IN cord-282927-jhma20de 41 19 this this DT cord-282927-jhma20de 41 20 virus virus NN cord-282927-jhma20de 41 21 . . . cord-282927-jhma20de 42 1 After after IN cord-282927-jhma20de 42 2 getting get VBG cord-282927-jhma20de 42 3 an an DT cord-282927-jhma20de 42 4 infection infection NN cord-282927-jhma20de 42 5 , , , cord-282927-jhma20de 42 6 an an DT cord-282927-jhma20de 42 7 individual individual JJ cord-282927-jhma20de 42 8 Covid-19 covid-19 NN cord-282927-jhma20de 42 9 patients patient NNS cord-282927-jhma20de 42 10 join join VBP cord-282927-jhma20de 42 11 the the DT cord-282927-jhma20de 42 12 class class NN cord-282927-jhma20de 42 13 R r NN cord-282927-jhma20de 42 14 after after IN cord-282927-jhma20de 42 15 recovery recovery NN cord-282927-jhma20de 42 16 or or CC cord-282927-jhma20de 42 17 succumb succumb VB cord-282927-jhma20de 42 18 to to IN cord-282927-jhma20de 42 19 infection infection NN cord-282927-jhma20de 42 20 . . . cord-282927-jhma20de 43 1 It -PRON- PRP cord-282927-jhma20de 43 2 is be VBZ cord-282927-jhma20de 43 3 further further RB cord-282927-jhma20de 43 4 assumed assume VBN cord-282927-jhma20de 43 5 that that IN cord-282927-jhma20de 43 6 individuals individual NNS cord-282927-jhma20de 43 7 join join VBP cord-282927-jhma20de 43 8 S S NNP cord-282927-jhma20de 43 9 134 134 CD cord-282927-jhma20de 43 10 class class NN cord-282927-jhma20de 43 11 through through IN cord-282927-jhma20de 43 12 birth birth NN cord-282927-jhma20de 43 13 at at IN cord-282927-jhma20de 43 14 a a DT cord-282927-jhma20de 43 15 rate rate NN cord-282927-jhma20de 43 16 G. G. NNP cord-282927-jhma20de 44 1 The the DT cord-282927-jhma20de 44 2 average average NN cord-282927-jhma20de 44 3 per per IN cord-282927-jhma20de 44 4 capita capita FW cord-282927-jhma20de 44 5 daily daily JJ cord-282927-jhma20de 44 6 contacts contact NNS cord-282927-jhma20de 44 7 of of IN cord-282927-jhma20de 44 8 an an DT cord-282927-jhma20de 44 9 infected infected JJ cord-282927-jhma20de 44 10 individual individual NN cord-282927-jhma20de 44 11 is be VBZ cord-282927-jhma20de 44 12 assumed assume VBN cord-282927-jhma20de 44 13 to to TO cord-282927-jhma20de 44 14 be be VB cord-282927-jhma20de 44 15 n n NN cord-282927-jhma20de 44 16 and and CC cord-282927-jhma20de 44 17 135 135 CD cord-282927-jhma20de 44 18 the the DT cord-282927-jhma20de 44 19 probability probability NN cord-282927-jhma20de 44 20 of of IN cord-282927-jhma20de 44 21 disease disease NN cord-282927-jhma20de 44 22 transmission transmission NN cord-282927-jhma20de 44 23 through through IN cord-282927-jhma20de 44 24 contact contact NN cord-282927-jhma20de 44 25 between between IN cord-282927-jhma20de 44 26 an an DT cord-282927-jhma20de 44 27 infected infected JJ cord-282927-jhma20de 44 28 individual individual NN cord-282927-jhma20de 44 29 and and CC cord-282927-jhma20de 44 30 a a DT cord-282927-jhma20de 44 31 susceptible susceptible JJ cord-282927-jhma20de 44 32 individual individual JJ cord-282927-jhma20de 44 33 136 136 CD cord-282927-jhma20de 44 34 is be VBZ cord-282927-jhma20de 45 1 p. p. NN cord-282927-jhma20de 46 1 A a DT cord-282927-jhma20de 46 2 common common JJ cord-282927-jhma20de 46 3 practice practice NN cord-282927-jhma20de 46 4 while while IN cord-282927-jhma20de 46 5 writing write VBG cord-282927-jhma20de 46 6 the the DT cord-282927-jhma20de 46 7 incidence incidence NN cord-282927-jhma20de 46 8 term term NN cord-282927-jhma20de 46 9 is be VBZ cord-282927-jhma20de 46 10 to to TO cord-282927-jhma20de 46 11 express express VB cord-282927-jhma20de 46 12 the the DT cord-282927-jhma20de 46 13 product product NN cord-282927-jhma20de 46 14 of of IN cord-282927-jhma20de 46 15 n n NN cord-282927-jhma20de 46 16 and and CC cord-282927-jhma20de 46 17 p p NNP cord-282927-jhma20de 46 18 as as IN cord-282927-jhma20de 46 19 a a DT cord-282927-jhma20de 46 20 single single JJ cord-282927-jhma20de 46 21 term term NN cord-282927-jhma20de 46 22 , , , cord-282927-jhma20de 46 23 are be VBP cord-282927-jhma20de 46 24 reports report NNS cord-282927-jhma20de 46 25 that that IN cord-282927-jhma20de 46 26 covid covid NNP cord-282927-jhma20de 46 27 patients patient NNS cord-282927-jhma20de 46 28 die die VBP cord-282927-jhma20de 46 29 in in IN cord-282927-jhma20de 46 30 transit transit NN cord-282927-jhma20de 46 31 due due IN cord-282927-jhma20de 46 32 to to IN cord-282927-jhma20de 46 33 lack lack NN cord-282927-jhma20de 46 34 of of IN cord-282927-jhma20de 46 35 hospital hospital NN cord-282927-jhma20de 46 36 beds bed NNS cord-282927-jhma20de 46 37 , , , cord-282927-jhma20de 46 38 unavailability unavailability NN cord-282927-jhma20de 46 39 of of IN cord-282927-jhma20de 46 40 ambulance ambulance NN cord-282927-jhma20de 46 41 [ [ -LRB- cord-282927-jhma20de 46 42 43 43 CD cord-282927-jhma20de 46 43 , , , cord-282927-jhma20de 46 44 44 44 CD cord-282927-jhma20de 46 45 , , , cord-282927-jhma20de 46 46 45 45 CD cord-282927-jhma20de 46 47 ] ] -RRB- cord-282927-jhma20de 46 48 . . . cord-282927-jhma20de 47 1 We -PRON- PRP cord-282927-jhma20de 47 2 , , , cord-282927-jhma20de 47 3 142 142 CD cord-282927-jhma20de 47 4 therefore therefore RB cord-282927-jhma20de 47 5 , , , cord-282927-jhma20de 47 6 assume assume VBP cord-282927-jhma20de 47 7 that that IN cord-282927-jhma20de 47 8 some some DT cord-282927-jhma20de 47 9 individuals individual NNS cord-282927-jhma20de 47 10 of of IN cord-282927-jhma20de 47 11 I I NNP cord-282927-jhma20de 47 12 h h NN cord-282927-jhma20de 47 13 class class NN cord-282927-jhma20de 47 14 may may MD cord-282927-jhma20de 47 15 also also RB cord-282927-jhma20de 47 16 succumb succumb VB cord-282927-jhma20de 47 17 to to IN cord-282927-jhma20de 47 18 infection infection NN cord-282927-jhma20de 47 19 before before IN cord-282927-jhma20de 47 20 they -PRON- PRP cord-282927-jhma20de 47 21 are be VBP cord-282927-jhma20de 47 22 shifted shift VBN cord-282927-jhma20de 47 23 to to IN cord-282927-jhma20de 47 24 I i NN cord-282927-jhma20de 47 25 c c NN cord-282927-jhma20de 47 26 class class NN cord-282927-jhma20de 47 27 . . . cord-282927-jhma20de 48 1 It -PRON- PRP cord-282927-jhma20de 48 2 143 143 CD cord-282927-jhma20de 48 3 is be VBZ cord-282927-jhma20de 48 4 , , , cord-282927-jhma20de 48 5 however however RB cord-282927-jhma20de 48 6 , , , cord-282927-jhma20de 48 7 true true JJ cord-282927-jhma20de 48 8 that that IN cord-282927-jhma20de 48 9 most most JJS cord-282927-jhma20de 48 10 of of IN cord-282927-jhma20de 48 11 the the DT cord-282927-jhma20de 48 12 members member NNS cord-282927-jhma20de 48 13 in in IN cord-282927-jhma20de 48 14 mildly mildly RB cord-282927-jhma20de 48 15 infected infected JJ cord-282927-jhma20de 48 16 class class NN cord-282927-jhma20de 48 17 ( ( -LRB- cord-282927-jhma20de 48 18 I i NN cord-282927-jhma20de 48 19 h h NN cord-282927-jhma20de 48 20 ) ) -RRB- cord-282927-jhma20de 48 21 recover recover VB cord-282927-jhma20de 48 22 from from IN cord-282927-jhma20de 48 23 the the DT cord-282927-jhma20de 48 24 infection infection NN cord-282927-jhma20de 48 25 . . . cord-282927-jhma20de 49 1 Therefore therefore RB cord-282927-jhma20de 49 2 , , , cord-282927-jhma20de 49 3 it -PRON- PRP cord-282927-jhma20de 49 4 would would MD cord-282927-jhma20de 49 5 144 144 CD cord-282927-jhma20de 49 6 be be VB cord-282927-jhma20de 49 7 justified justify VBN cord-282927-jhma20de 49 8 to to TO cord-282927-jhma20de 49 9 assume assume VB cord-282927-jhma20de 49 10 that that IN cord-282927-jhma20de 49 11 ν ν NNP cord-282927-jhma20de 49 12 1 1 CD cord-282927-jhma20de 49 13 > > XX cord-282927-jhma20de 50 1 > > XX cord-282927-jhma20de 51 1 ν ν NNP cord-282927-jhma20de 51 2 2 2 CD cord-282927-jhma20de 51 3 and and CC cord-282927-jhma20de 51 4 m m NN cord-282927-jhma20de 51 5 1 1 CD cord-282927-jhma20de 51 6 < < XX cord-282927-jhma20de 51 7 < < XX cord-282927-jhma20de 51 8 m m CD cord-282927-jhma20de 51 9 2 2 CD cord-282927-jhma20de 51 10 . . . cord-282927-jhma20de 52 1 The the DT cord-282927-jhma20de 52 2 natural natural JJ cord-282927-jhma20de 52 3 death death NN cord-282927-jhma20de 52 4 rate rate NN cord-282927-jhma20de 52 5 of of IN cord-282927-jhma20de 52 6 susceptible susceptible JJ cord-282927-jhma20de 52 7 individuals individual NNS cord-282927-jhma20de 52 8 is be VBZ cord-282927-jhma20de 52 9 assumed assume VBN cord-282927-jhma20de 52 10 to to IN cord-282927-jhma20de 52 11 145 145 CD cord-282927-jhma20de 52 12 be be VB cord-282927-jhma20de 52 13 σ σ NNP cord-282927-jhma20de 52 14 , , , cord-282927-jhma20de 52 15 giving give VBG cord-282927-jhma20de 52 16 1 1 CD cord-282927-jhma20de 52 17 σ σ NN cord-282927-jhma20de 52 18 as as IN cord-282927-jhma20de 52 19 the the DT cord-282927-jhma20de 52 20 average average JJ cord-282927-jhma20de 52 21 life life NN cord-282927-jhma20de 52 22 expectancy expectancy NN cord-282927-jhma20de 52 23 of of IN cord-282927-jhma20de 52 24 the the DT cord-282927-jhma20de 52 25 common common JJ cord-282927-jhma20de 52 26 people people NNS cord-282927-jhma20de 52 27 , , , cord-282927-jhma20de 52 28 and and CC cord-282927-jhma20de 52 29 considered consider VBN cord-282927-jhma20de 52 30 in in IN cord-282927-jhma20de 52 31 all all DT cord-282927-jhma20de 52 32 compartments compartment NNS cord-282927-jhma20de 52 33 . . . cord-282927-jhma20de 53 1 We -PRON- PRP cord-282927-jhma20de 53 2 also also RB cord-282927-jhma20de 53 3 the the DT cord-282927-jhma20de 53 4 death death NN cord-282927-jhma20de 53 5 class class NN cord-282927-jhma20de 53 6 are be VBP cord-282927-jhma20de 53 7 not not RB cord-282927-jhma20de 53 8 included include VBN cord-282927-jhma20de 53 9 to to TO cord-282927-jhma20de 53 10 represent represent VB cord-282927-jhma20de 53 11 the the DT cord-282927-jhma20de 53 12 total total JJ cord-282927-jhma20de 53 13 population population NN cord-282927-jhma20de 53 14 . . . cord-282927-jhma20de 54 1 The the DT cord-282927-jhma20de 54 2 dimension dimension NN cord-282927-jhma20de 54 3 of of IN cord-282927-jhma20de 54 4 the the DT cord-282927-jhma20de 54 5 proposed propose VBN cord-282927-jhma20de 54 6 model model NN cord-282927-jhma20de 54 7 was be VBD cord-282927-jhma20de 54 8 kept keep VBN cord-282927-jhma20de 54 9 low low JJ cord-282927-jhma20de 54 10 , , , cord-282927-jhma20de 54 11 though though IN cord-282927-jhma20de 54 12 this this DT cord-282927-jhma20de 54 13 simplified simplified JJ cord-282927-jhma20de 54 14 representation representation NN cord-282927-jhma20de 54 15 reflects reflect VBZ cord-282927-jhma20de 54 16 the the DT cord-282927-jhma20de 54 17 usual usual JJ cord-282927-jhma20de 54 18 coronavirus coronavirus NN cord-282927-jhma20de 54 19 infection infection NN cord-282927-jhma20de 54 20 management management NN cord-282927-jhma20de 54 21 protocol protocol NN cord-282927-jhma20de 54 22 followed follow VBD cord-282927-jhma20de 54 23 in in IN cord-282927-jhma20de 54 24 many many JJ cord-282927-jhma20de 54 25 149 149 CD cord-282927-jhma20de 54 26 countries country NNS cord-282927-jhma20de 54 27 including include VBG cord-282927-jhma20de 54 28 India India NNP cord-282927-jhma20de 54 29 . . . cord-282927-jhma20de 55 1 With with IN cord-282927-jhma20de 55 2 these these DT cord-282927-jhma20de 55 3 assumptions assumption NNS cord-282927-jhma20de 55 4 , , , cord-282927-jhma20de 55 5 we -PRON- PRP cord-282927-jhma20de 55 6 propose propose VBP cord-282927-jhma20de 55 7 the the DT cord-282927-jhma20de 55 8 following following JJ cord-282927-jhma20de 55 9 model model NN cord-282927-jhma20de 55 10 for for IN cord-282927-jhma20de 55 11 Covid-19 covid-19 JJ cord-282927-jhma20de 55 12 epidemic epidemic NN cord-282927-jhma20de 55 13 : : : cord-282927-jhma20de 55 14 Those those DT cord-282927-jhma20de 55 15 who who WP cord-282927-jhma20de 55 16 are be VBP cord-282927-jhma20de 55 17 critically critically RB cord-282927-jhma20de 55 18 ill ill JJ cord-282927-jhma20de 55 19 are be VBP cord-282927-jhma20de 55 20 assumed assume VBN cord-282927-jhma20de 55 21 , , , cord-282927-jhma20de 55 22 for for IN cord-282927-jhma20de 55 23 simplicity simplicity NN cord-282927-jhma20de 55 24 , , , cord-282927-jhma20de 55 25 to to TO cord-282927-jhma20de 55 26 be be VB cord-282927-jhma20de 55 27 unable unable JJ cord-282927-jhma20de 55 28 to to TO cord-282927-jhma20de 55 29 spread spread VB cord-282927-jhma20de 55 30 the the DT cord-282927-jhma20de 55 31 infection infection NN cord-282927-jhma20de 55 32 further further RB cord-282927-jhma20de 55 33 . . . cord-282927-jhma20de 56 1 This this DT cord-282927-jhma20de 56 2 assumption assumption NN cord-282927-jhma20de 56 3 151 151 CD cord-282927-jhma20de 56 4 may may MD cord-282927-jhma20de 56 5 be be VB cord-282927-jhma20de 56 6 too too RB cord-282927-jhma20de 56 7 strict strict JJ cord-282927-jhma20de 56 8 but but CC cord-282927-jhma20de 56 9 simplifies simplify VBZ cord-282927-jhma20de 56 10 the the DT cord-282927-jhma20de 56 11 model model NN cord-282927-jhma20de 56 12 to to IN cord-282927-jhma20de 56 13 ( ( -LRB- cord-282927-jhma20de 56 14 2 2 CD cord-282927-jhma20de 56 15 ) ) -RRB- cord-282927-jhma20de 57 1 A a DT cord-282927-jhma20de 57 2 schematic schematic JJ cord-282927-jhma20de 57 3 representation representation NN cord-282927-jhma20de 57 4 of of IN cord-282927-jhma20de 57 5 the the DT cord-282927-jhma20de 57 6 system system NN cord-282927-jhma20de 57 7 ( ( -LRB- cord-282927-jhma20de 57 8 2 2 LS cord-282927-jhma20de 57 9 ) ) -RRB- cord-282927-jhma20de 57 10 is be VBZ cord-282927-jhma20de 57 11 given give VBN cord-282927-jhma20de 57 12 in in IN cord-282927-jhma20de 57 13 Fig Fig NNP cord-282927-jhma20de 57 14 . . . cord-282927-jhma20de 58 1 1 1 CD cord-282927-jhma20de 58 2 153 153 CD cord-282927-jhma20de 59 1 Figure figure NN cord-282927-jhma20de 59 2 1 1 CD cord-282927-jhma20de 59 3 : : : cord-282927-jhma20de 60 1 Schematic schematic JJ cord-282927-jhma20de 60 2 diagram diagram NN cord-282927-jhma20de 60 3 of of IN cord-282927-jhma20de 60 4 the the DT cord-282927-jhma20de 60 5 disease disease NN cord-282927-jhma20de 60 6 progression progression NN cord-282927-jhma20de 60 7 mechanism mechanism NN cord-282927-jhma20de 60 8 considered consider VBN cord-282927-jhma20de 60 9 in in IN cord-282927-jhma20de 60 10 the the DT cord-282927-jhma20de 60 11 system system NN cord-282927-jhma20de 60 12 ( ( -LRB- cord-282927-jhma20de 60 13 2 2 CD cord-282927-jhma20de 60 14 ) ) -RRB- cord-282927-jhma20de 60 15 . . . cord-282927-jhma20de 61 1 J J NNP cord-282927-jhma20de 61 2 o o NN cord-282927-jhma20de 61 3 u u NN cord-282927-jhma20de 61 4 r r NN cord-282927-jhma20de 61 5 n n NN cord-282927-jhma20de 61 6 a a DT cord-282927-jhma20de 61 7 l l NN cord-282927-jhma20de 61 8 P p NN cord-282927-jhma20de 61 9 r r NN cord-282927-jhma20de 61 10 e e NN cord-282927-jhma20de 61 11 -p -p NN cord-282927-jhma20de 62 1 r r LS cord-282927-jhma20de 63 1 o o UH cord-282927-jhma20de 64 1 o o UH cord-282927-jhma20de 64 2 f f LS cord-282927-jhma20de 64 3 We -PRON- PRP cord-282927-jhma20de 64 4 now now RB cord-282927-jhma20de 64 5 introduce introduce VBP cord-282927-jhma20de 64 6 three three CD cord-282927-jhma20de 64 7 constant constant JJ cord-282927-jhma20de 64 8 controls control NNS cord-282927-jhma20de 65 1 u u NNP cord-282927-jhma20de 65 2 i i PRP cord-282927-jhma20de 66 1 ( ( -LRB- cord-282927-jhma20de 66 2 i i NN cord-282927-jhma20de 66 3 = = SYM cord-282927-jhma20de 66 4 1 1 CD cord-282927-jhma20de 66 5 , , , cord-282927-jhma20de 66 6 2 2 CD cord-282927-jhma20de 66 7 , , , cord-282927-jhma20de 66 8 3 3 CD cord-282927-jhma20de 66 9 ) ) -RRB- cord-282927-jhma20de 66 10 , , , cord-282927-jhma20de 66 11 0 0 CD cord-282927-jhma20de 66 12 ≤ ≤ NN cord-282927-jhma20de 66 13 u u NNP cord-282927-jhma20de 66 14 i i NN cord-282927-jhma20de 66 15 ≤ ≤ NN cord-282927-jhma20de 66 16 1 1 CD cord-282927-jhma20de 66 17 to to IN cord-282927-jhma20de 66 18 the the DT cord-282927-jhma20de 66 19 above above JJ cord-282927-jhma20de 66 20 epidemic epidemic NN cord-282927-jhma20de 66 21 model model NN cord-282927-jhma20de 66 22 . . . cord-282927-jhma20de 67 1 The the DT cord-282927-jhma20de 67 2 control control NN cord-282927-jhma20de 67 3 154 154 CD cord-282927-jhma20de 67 4 u u NN cord-282927-jhma20de 67 5 1 1 CD cord-282927-jhma20de 67 6 is be VBZ cord-282927-jhma20de 67 7 introduced introduce VBN cord-282927-jhma20de 67 8 to to TO cord-282927-jhma20de 67 9 reduce reduce VB cord-282927-jhma20de 67 10 the the DT cord-282927-jhma20de 67 11 daily daily JJ cord-282927-jhma20de 67 12 number number NN cord-282927-jhma20de 67 13 of of IN cord-282927-jhma20de 67 14 contacts contact NNS cord-282927-jhma20de 67 15 due due JJ cord-282927-jhma20de 67 16 to to IN cord-282927-jhma20de 67 17 lockdown lockdown NN cord-282927-jhma20de 67 18 ( ( -LRB- cord-282927-jhma20de 67 19 complete complete JJ cord-282927-jhma20de 67 20 or or CC cord-282927-jhma20de 67 21 partial partial JJ cord-282927-jhma20de 67 22 ) ) -RRB- cord-282927-jhma20de 67 23 . . . cord-282927-jhma20de 68 1 A a DT cord-282927-jhma20de 68 2 second second JJ cord-282927-jhma20de 68 3 control control NN cord-282927-jhma20de 68 4 u u NNP cord-282927-jhma20de 68 5 2 2 CD cord-282927-jhma20de 68 6 155 155 CD cord-282927-jhma20de 68 7 is be VBZ cord-282927-jhma20de 68 8 introduced introduce VBN cord-282927-jhma20de 68 9 to to TO cord-282927-jhma20de 68 10 diminish diminish VB cord-282927-jhma20de 68 11 the the DT cord-282927-jhma20de 68 12 probability probability NN cord-282927-jhma20de 68 13 of of IN cord-282927-jhma20de 68 14 transmission transmission NN cord-282927-jhma20de 68 15 due due JJ cord-282927-jhma20de 68 16 to to IN cord-282927-jhma20de 68 17 using use VBG cord-282927-jhma20de 68 18 a a DT cord-282927-jhma20de 68 19 face face NN cord-282927-jhma20de 68 20 mask mask NN cord-282927-jhma20de 68 21 and and CC cord-282927-jhma20de 68 22 maintaining maintain VBG cord-282927-jhma20de 68 23 social social JJ cord-282927-jhma20de 68 24 distance distance NN cord-282927-jhma20de 68 25 , , , cord-282927-jhma20de 68 26 is be VBZ cord-282927-jhma20de 68 27 applied apply VBN cord-282927-jhma20de 68 28 to to TO cord-282927-jhma20de 68 29 reduce reduce VB cord-282927-jhma20de 68 30 the the DT cord-282927-jhma20de 68 31 death death NN cord-282927-jhma20de 68 32 rate rate NN cord-282927-jhma20de 68 33 and and CC cord-282927-jhma20de 68 34 increase increase VB cord-282927-jhma20de 68 35 the the DT cord-282927-jhma20de 68 36 recovery recovery NN cord-282927-jhma20de 68 37 rate rate NN cord-282927-jhma20de 68 38 by by IN cord-282927-jhma20de 68 39 using use VBG cord-282927-jhma20de 68 40 various various JJ cord-282927-jhma20de 68 41 repurposing repurpose VBG cord-282927-jhma20de 68 42 drugs drug NNS cord-282927-jhma20de 68 43 and and CC cord-282927-jhma20de 68 44 convalescent convalescent JJ cord-282927-jhma20de 68 45 159 159 CD cord-282927-jhma20de 68 46 plasma plasma NN cord-282927-jhma20de 68 47 therapy therapy NN cord-282927-jhma20de 68 48 . . . cord-282927-jhma20de 69 1 As as IN cord-282927-jhma20de 69 2 the the DT cord-282927-jhma20de 69 3 effect effect NN cord-282927-jhma20de 69 4 of of IN cord-282927-jhma20de 69 5 the the DT cord-282927-jhma20de 69 6 application application NN cord-282927-jhma20de 69 7 of of IN cord-282927-jhma20de 69 8 repurposing repurpose VBG cord-282927-jhma20de 69 9 drugs drug NNS cord-282927-jhma20de 69 10 , , , cord-282927-jhma20de 69 11 a a DT cord-282927-jhma20de 69 12 fraction fraction NN cord-282927-jhma20de 69 13 of of IN cord-282927-jhma20de 69 14 infected infected JJ cord-282927-jhma20de 69 15 people people NNS cord-282927-jhma20de 69 16 , , , cord-282927-jhma20de 69 17 who who WP cord-282927-jhma20de 69 18 earlier early RBR cord-282927-jhma20de 69 19 160 160 CD cord-282927-jhma20de 69 20 succumbed succumb VBD cord-282927-jhma20de 69 21 to to IN cord-282927-jhma20de 69 22 infection infection NN cord-282927-jhma20de 69 23 , , , cord-282927-jhma20de 69 24 now now RB cord-282927-jhma20de 69 25 recovers recover VBZ cord-282927-jhma20de 69 26 and and CC cord-282927-jhma20de 69 27 joins join VBZ cord-282927-jhma20de 69 28 R r NN cord-282927-jhma20de 69 29 class class NN cord-282927-jhma20de 69 30 ; ; : cord-282927-jhma20de 69 31 while while IN cord-282927-jhma20de 69 32 the the DT cord-282927-jhma20de 69 33 remaining remain VBG cord-282927-jhma20de 69 34 fraction fraction NN cord-282927-jhma20de 69 35 is be VBZ cord-282927-jhma20de 69 36 the the DT cord-282927-jhma20de 69 37 member member NN cord-282927-jhma20de 69 38 of of IN cord-282927-jhma20de 69 39 the the DT cord-282927-jhma20de 69 40 disease-161 disease-161 NNP cord-282927-jhma20de 69 41 related relate VBN cord-282927-jhma20de 69 42 death death NN cord-282927-jhma20de 69 43 class class NN cord-282927-jhma20de 69 44 , , , cord-282927-jhma20de 69 45 V. V. NNP cord-282927-jhma20de 70 1 In in IN cord-282927-jhma20de 70 2 fact fact NN cord-282927-jhma20de 70 3 , , , cord-282927-jhma20de 70 4 without without IN cord-282927-jhma20de 70 5 the the DT cord-282927-jhma20de 70 6 repurposing repurpose VBG cord-282927-jhma20de 70 7 drugs drug NNS cord-282927-jhma20de 70 8 , , , cord-282927-jhma20de 70 9 infected infected JJ cord-282927-jhma20de 70 10 individuals individual NNS cord-282927-jhma20de 70 11 will will MD cord-282927-jhma20de 70 12 die die VB cord-282927-jhma20de 70 13 at at IN cord-282927-jhma20de 70 14 a a DT cord-282927-jhma20de 70 15 rate rate NN cord-282927-jhma20de 70 16 m m NN cord-282927-jhma20de 70 17 2 2 CD cord-282927-jhma20de 70 18 and and CC cord-282927-jhma20de 70 19 there there EX cord-282927-jhma20de 70 20 will will MD cord-282927-jhma20de 70 21 162 162 CD cord-282927-jhma20de 70 22 be be VB cord-282927-jhma20de 70 23 no no DT cord-282927-jhma20de 70 24 extra extra JJ cord-282927-jhma20de 70 25 recovery recovery NN cord-282927-jhma20de 70 26 or or CC cord-282927-jhma20de 70 27 a a DT cord-282927-jhma20de 70 28 reduction reduction NN cord-282927-jhma20de 70 29 in in IN cord-282927-jhma20de 70 30 the the DT cord-282927-jhma20de 70 31 death death NN cord-282927-jhma20de 70 32 class class NN cord-282927-jhma20de 70 33 . . . cord-282927-jhma20de 71 1 Introducing introduce VBG cord-282927-jhma20de 71 2 these these DT cord-282927-jhma20de 71 3 controls control NNS cord-282927-jhma20de 71 4 , , , cord-282927-jhma20de 71 5 the the DT cord-282927-jhma20de 71 6 system system NN cord-282927-jhma20de 71 7 ( ( -LRB- cord-282927-jhma20de 71 8 2 2 LS cord-282927-jhma20de 71 9 ) ) -RRB- cord-282927-jhma20de 71 10 reads read VBZ cord-282927-jhma20de 71 11 ( ( -LRB- cord-282927-jhma20de 71 12 3 3 CD cord-282927-jhma20de 71 13 ) ) -RRB- cord-282927-jhma20de 72 1 The the DT cord-282927-jhma20de 72 2 models model NNS cord-282927-jhma20de 72 3 ( ( -LRB- cord-282927-jhma20de 72 4 2 2 CD cord-282927-jhma20de 72 5 ) ) -RRB- cord-282927-jhma20de 72 6 and and CC cord-282927-jhma20de 72 7 ( ( -LRB- cord-282927-jhma20de 72 8 3 3 LS cord-282927-jhma20de 72 9 ) ) -RRB- cord-282927-jhma20de 72 10 will will MD cord-282927-jhma20de 72 11 be be VB cord-282927-jhma20de 72 12 analyzed analyze VBN cord-282927-jhma20de 72 13 with with IN cord-282927-jhma20de 72 14 the the DT cord-282927-jhma20de 72 15 initial initial JJ cord-282927-jhma20de 72 16 conditions condition NNS cord-282927-jhma20de 72 17 It -PRON- PRP cord-282927-jhma20de 72 18 is be VBZ cord-282927-jhma20de 72 19 to to TO cord-282927-jhma20de 72 20 be be VB cord-282927-jhma20de 72 21 noted note VBN cord-282927-jhma20de 72 22 that that IN cord-282927-jhma20de 72 23 different different JJ cord-282927-jhma20de 72 24 sub sub NN cord-282927-jhma20de 72 25 - - NNS cord-282927-jhma20de 72 26 cases case NNS cord-282927-jhma20de 72 27 may may MD cord-282927-jhma20de 72 28 be be VB cord-282927-jhma20de 72 29 deduced deduce VBN cord-282927-jhma20de 72 30 from from IN cord-282927-jhma20de 72 31 the the DT cord-282927-jhma20de 72 32 model model NN cord-282927-jhma20de 72 33 ( ( -LRB- cord-282927-jhma20de 72 34 3 3 LS cord-282927-jhma20de 72 35 ) ) -RRB- cord-282927-jhma20de 72 36 depending depend VBG cord-282927-jhma20de 72 37 on on IN cord-282927-jhma20de 72 38 the the DT cord-282927-jhma20de 72 39 mitigation mitigation NN cord-282927-jhma20de 72 40 measures measure NNS cord-282927-jhma20de 72 41 . . . cord-282927-jhma20de 73 1 For for IN cord-282927-jhma20de 73 2 example example NN cord-282927-jhma20de 73 3 , , , cord-282927-jhma20de 73 4 an an DT cord-282927-jhma20de 73 5 epidemic epidemic NN cord-282927-jhma20de 73 6 model model NN cord-282927-jhma20de 73 7 of of IN cord-282927-jhma20de 73 8 Covid-19 Covid-19 NNP cord-282927-jhma20de 73 9 can can MD cord-282927-jhma20de 73 10 be be VB cord-282927-jhma20de 73 11 deduced deduce VBN cord-282927-jhma20de 73 12 for for IN cord-282927-jhma20de 73 13 the the DT cord-282927-jhma20de 73 14 before before JJ cord-282927-jhma20de 73 15 lockdown lockdown NN cord-282927-jhma20de 73 16 period period NN cord-282927-jhma20de 73 17 , , , cord-282927-jhma20de 73 18 when when WRB cord-282927-jhma20de 73 19 there there EX cord-282927-jhma20de 73 20 was be VBD cord-282927-jhma20de 73 21 no no DT cord-282927-jhma20de 73 22 Covid-19 covid-19 NN cord-282927-jhma20de 73 23 pandemic pandemic NN cord-282927-jhma20de 73 24 as as RB cord-282927-jhma20de 73 25 well well RB cord-282927-jhma20de 73 26 as as IN cord-282927-jhma20de 73 27 the the DT cord-282927-jhma20de 73 28 recently recently RB cord-282927-jhma20de 73 29 approved approve VBN cord-282927-jhma20de 73 30 treatment treatment NN cord-282927-jhma20de 73 31 strategy strategy NN cord-282927-jhma20de 73 32 with with IN cord-282927-jhma20de 73 33 repurposing repurpose VBG cord-282927-jhma20de 73 34 drugs drug NNS cord-282927-jhma20de 73 35 . . . cord-282927-jhma20de 74 1 , , , cord-282927-jhma20de 74 2 then then RB cord-282927-jhma20de 75 1 any any DT cord-282927-jhma20de 75 2 solution solution NN cord-282927-jhma20de 75 3 ofẊ ofẋ NN cord-282927-jhma20de 75 4 = = SYM cord-282927-jhma20de 75 5 F(X F(X NNP cord-282927-jhma20de 75 6 ) ) -RRB- cord-282927-jhma20de 75 7 with with IN cord-282927-jhma20de 75 8 given give VBN cord-282927-jhma20de 75 9 initial initial JJ cord-282927-jhma20de 75 10 178 178 CD cord-282927-jhma20de 75 11 condition condition NN cord-282927-jhma20de 75 12 , , , cord-282927-jhma20de 75 13 say say VB cord-282927-jhma20de 75 14 , , , cord-282927-jhma20de 75 15 X(t x(t ADD cord-282927-jhma20de 75 16 ) ) -RRB- cord-282927-jhma20de 76 1 = = NFP cord-282927-jhma20de 77 1 X(t X(t VBG cord-282927-jhma20de 77 2 ; ; : cord-282927-jhma20de 77 3 X x NN cord-282927-jhma20de 77 4 0 0 CD cord-282927-jhma20de 77 5 ) ) -RRB- cord-282927-jhma20de 77 6 will will MD cord-282927-jhma20de 77 7 remain remain VB cord-282927-jhma20de 77 8 positive positive JJ cord-282927-jhma20de 77 9 , , , cord-282927-jhma20de 77 10 i.e. i.e. FW cord-282927-jhma20de 77 11 , , , cord-282927-jhma20de 77 12 X(t x(t ADD cord-282927-jhma20de 77 13 ) ) -RRB- cord-282927-jhma20de 78 1 ∈ ∈ NNP cord-282927-jhma20de 78 2 R r NN cord-282927-jhma20de 78 3 n n NN cord-282927-jhma20de 78 4 + + NN cord-282927-jhma20de 78 5 , , , cord-282927-jhma20de 78 6 ∀t ∀t NNP cord-282927-jhma20de 78 7 > > XX cord-282927-jhma20de 78 8 0 0 NFP cord-282927-jhma20de 78 9 . . . cord-282927-jhma20de 78 10 _SP cord-282927-jhma20de 79 1 . . . cord-282927-jhma20de 80 1 It -PRON- PRP cord-282927-jhma20de 80 2 can can MD cord-282927-jhma20de 80 3 be be VB cord-282927-jhma20de 80 4 easily easily RB cord-282927-jhma20de 80 5 seen see VBN cord-282927-jhma20de 80 6 from from IN cord-282927-jhma20de 80 7 ( ( -LRB- cord-282927-jhma20de 80 8 3 3 LS cord-282927-jhma20de 80 9 ) ) -RRB- cord-282927-jhma20de 80 10 that that IN cord-282927-jhma20de 80 11 Lemma Lemma NNP cord-282927-jhma20de 80 12 3.1 3.1 CD cord-282927-jhma20de 80 13 then then RB cord-282927-jhma20de 80 14 gives give VBZ cord-282927-jhma20de 80 15 that that IN cord-282927-jhma20de 80 16 all all DT cord-282927-jhma20de 80 17 solutions solution NNS cord-282927-jhma20de 80 18 of of IN cord-282927-jhma20de 80 19 the the DT cord-282927-jhma20de 80 20 system system NN cord-282927-jhma20de 80 21 ( ( -LRB- cord-282927-jhma20de 80 22 3 3 LS cord-282927-jhma20de 80 23 ) ) -RRB- cord-282927-jhma20de 80 24 starting start VBG cord-282927-jhma20de 80 25 with with IN cord-282927-jhma20de 80 26 the the DT cord-282927-jhma20de 80 27 initial initial JJ cord-282927-jhma20de 80 28 condition condition NN cord-282927-jhma20de 80 29 ( ( -LRB- cord-282927-jhma20de 80 30 4 4 LS cord-282927-jhma20de 80 31 ) ) -RRB- cord-282927-jhma20de 80 32 are be VBP cord-282927-jhma20de 80 33 positive positive JJ cord-282927-jhma20de 80 34 . . . cord-282927-jhma20de 81 1 Again again RB cord-282927-jhma20de 81 2 , , , cord-282927-jhma20de 81 3 Thus thus RB cord-282927-jhma20de 81 4 , , , cord-282927-jhma20de 81 5 following follow VBG cord-282927-jhma20de 81 6 [ [ -LRB- cord-282927-jhma20de 81 7 47 47 CD cord-282927-jhma20de 81 8 ] ] -RRB- cord-282927-jhma20de 81 9 , , , cord-282927-jhma20de 81 10 R r NN cord-282927-jhma20de 81 11 5 5 CD cord-282927-jhma20de 81 12 + + SYM cord-282927-jhma20de 81 13 is be VBZ cord-282927-jhma20de 81 14 invariant invariant JJ cord-282927-jhma20de 81 15 . . . cord-282927-jhma20de 82 1 Therefore therefore RB cord-282927-jhma20de 82 2 , , , cord-282927-jhma20de 82 3 all all DT cord-282927-jhma20de 82 4 solutions solution NNS cord-282927-jhma20de 82 5 of of IN cord-282927-jhma20de 82 6 the the DT cord-282927-jhma20de 82 7 system system NN cord-282927-jhma20de 82 8 ( ( -LRB- cord-282927-jhma20de 82 9 3 3 LS cord-282927-jhma20de 82 10 ) ) -RRB- cord-282927-jhma20de 82 11 with with IN cord-282927-jhma20de 82 12 initial initial JJ cord-282927-jhma20de 82 13 condition condition NN cord-282927-jhma20de 82 14 ( ( -LRB- cord-282927-jhma20de 82 15 4 4 LS cord-282927-jhma20de 82 16 ) ) -RRB- cord-282927-jhma20de 82 17 are be VBP cord-282927-jhma20de 82 18 positively positively RB cord-282927-jhma20de 82 19 invariant invariant JJ cord-282927-jhma20de 82 20 . . . cord-282927-jhma20de 83 1 To to TO cord-282927-jhma20de 83 2 show show VB cord-282927-jhma20de 83 3 the the DT cord-282927-jhma20de 83 4 boundedness boundedness NN cord-282927-jhma20de 83 5 of of IN cord-282927-jhma20de 83 6 the the DT cord-282927-jhma20de 83 7 solutions solution NNS cord-282927-jhma20de 83 8 of of IN cord-282927-jhma20de 83 9 ( ( -LRB- cord-282927-jhma20de 83 10 3 3 CD cord-282927-jhma20de 83 11 ) ) -RRB- cord-282927-jhma20de 83 12 , , , cord-282927-jhma20de 83 13 we -PRON- PRP cord-282927-jhma20de 83 14 define define VBP cord-282927-jhma20de 84 1 Then then RB cord-282927-jhma20de 84 2 we -PRON- PRP cord-282927-jhma20de 84 3 have have VBP cord-282927-jhma20de 84 4 Hence hence RB cord-282927-jhma20de 85 1 all all PDT cord-282927-jhma20de 85 2 the the DT cord-282927-jhma20de 85 3 solutions solution NNS cord-282927-jhma20de 85 4 of of IN cord-282927-jhma20de 85 5 the the DT cord-282927-jhma20de 85 6 system system NN cord-282927-jhma20de 85 7 ( ( -LRB- cord-282927-jhma20de 85 8 3 3 LS cord-282927-jhma20de 85 9 ) ) -RRB- cord-282927-jhma20de 85 10 are be VBP cord-282927-jhma20de 85 11 positively positively RB cord-282927-jhma20de 85 12 invariant invariant JJ cord-282927-jhma20de 85 13 and and CC cord-282927-jhma20de 85 14 ultimately ultimately RB cord-282927-jhma20de 85 15 bounded bound VBN cord-282927-jhma20de 85 16 in in IN cord-282927-jhma20de 85 17 the the DT cord-282927-jhma20de 85 18 region region NN cord-282927-jhma20de 85 19 Γ γ NN cord-282927-jhma20de 85 20 defined define VBN cord-282927-jhma20de 85 21 in in IN cord-282927-jhma20de 85 22 ( ( -LRB- cord-282927-jhma20de 85 23 5 5 CD cord-282927-jhma20de 85 24 ) ) -RRB- cord-282927-jhma20de 85 25 . . . cord-282927-jhma20de 86 1 given give VBN cord-282927-jhma20de 86 2 by by IN cord-282927-jhma20de 86 3 6 6 CD cord-282927-jhma20de 86 4 J j NN cord-282927-jhma20de 86 5 o o NN cord-282927-jhma20de 86 6 u u NN cord-282927-jhma20de 86 7 r r NN cord-282927-jhma20de 86 8 n n NN cord-282927-jhma20de 86 9 a a DT cord-282927-jhma20de 86 10 l l NN cord-282927-jhma20de 86 11 P p NN cord-282927-jhma20de 86 12 r r NN cord-282927-jhma20de 86 13 e e NN cord-282927-jhma20de 86 14 -p -p NN cord-282927-jhma20de 87 1 r r NN cord-282927-jhma20de 87 2 o o NN cord-282927-jhma20de 87 3 o o NN cord-282927-jhma20de 87 4 f f NN cord-282927-jhma20de 87 5 The the DT cord-282927-jhma20de 87 6 transmission transmission NN cord-282927-jhma20de 87 7 matrix matrix NN cord-282927-jhma20de 87 8 and and CC cord-282927-jhma20de 87 9 transition transition NN cord-282927-jhma20de 87 10 matrix matrix NN cord-282927-jhma20de 87 11 associated associate VBN cord-282927-jhma20de 87 12 with with IN cord-282927-jhma20de 87 13 this this DT cord-282927-jhma20de 87 14 infection infection NN cord-282927-jhma20de 87 15 subsystem subsystem NN cord-282927-jhma20de 87 16 ( ( -LRB- cord-282927-jhma20de 87 17 9 9 CD cord-282927-jhma20de 87 18 ) ) -RRB- cord-282927-jhma20de 87 19 in in IN cord-282927-jhma20de 87 20 a a DT cord-282927-jhma20de 87 21 completely completely RB cord-282927-jhma20de 87 22 susceptible susceptible JJ cord-282927-jhma20de 87 23 scenario scenario NN cord-282927-jhma20de 87 24 ( ( -LRB- cord-282927-jhma20de 87 25 when when WRB cord-282927-jhma20de 87 26 S s NN cord-282927-jhma20de 87 27 = = SYM cord-282927-jhma20de 87 28 G g NN cord-282927-jhma20de 87 29 σ σ NN cord-282927-jhma20de 87 30 ) ) -RRB- cord-282927-jhma20de 87 31 are be VBP cord-282927-jhma20de 87 32 given give VBN cord-282927-jhma20de 87 33 by by IN cord-282927-jhma20de 87 34 T T NNP cord-282927-jhma20de 87 35 and and CC cord-282927-jhma20de 87 36 Σ Σ NNP cord-282927-jhma20de 87 37 , , , cord-282927-jhma20de 87 38 respectively respectively RB cord-282927-jhma20de 87 39 , , , cord-282927-jhma20de 87 40 where where WRB cord-282927-jhma20de 87 41 Then then RB cord-282927-jhma20de 87 42 the the DT cord-282927-jhma20de 87 43 spectral spectral JJ cord-282927-jhma20de 87 44 radius radius NN cord-282927-jhma20de 87 45 of of IN cord-282927-jhma20de 87 46 the the DT cord-282927-jhma20de 87 47 matrix matrix NN cord-282927-jhma20de 88 1 −TΣ −TΣ . cord-282927-jhma20de 89 1 −1 −1 NNP cord-282927-jhma20de 89 2 gives give VBZ cord-282927-jhma20de 89 3 the the DT cord-282927-jhma20de 89 4 basic basic JJ cord-282927-jhma20de 89 5 reproduction reproduction NN cord-282927-jhma20de 89 6 number number NN cord-282927-jhma20de 89 7 of of IN cord-282927-jhma20de 89 8 the the DT cord-282927-jhma20de 89 9 system system NN cord-282927-jhma20de 89 10 ( ( -LRB- cord-282927-jhma20de 89 11 3 3 CD cord-282927-jhma20de 89 12 ) ) -RRB- cord-282927-jhma20de 89 13 and and CC cord-282927-jhma20de 89 14 is be VBZ cord-282927-jhma20de 89 15 defined define VBN cord-282927-jhma20de 89 16 by by IN cord-282927-jhma20de 90 1 whenever whenever WRB cord-282927-jhma20de 90 2 u u NNP cord-282927-jhma20de 90 3 i i PRP cord-282927-jhma20de 90 4 ∈ ∈ VBP cord-282927-jhma20de 90 5 [ [ -LRB- cord-282927-jhma20de 90 6 0 0 CD cord-282927-jhma20de 90 7 , , , cord-282927-jhma20de 90 8 1 1 CD cord-282927-jhma20de 90 9 ) ) -RRB- cord-282927-jhma20de 90 10 , , . cord-282927-jhma20de 91 1 i i PRP cord-282927-jhma20de 91 2 = = SYM cord-282927-jhma20de 91 3 1 1 CD cord-282927-jhma20de 91 4 , , , cord-282927-jhma20de 91 5 2 2 CD cord-282927-jhma20de 91 6 . . . cord-282927-jhma20de 92 1 It -PRON- PRP cord-282927-jhma20de 92 2 is be VBZ cord-282927-jhma20de 92 3 straightforward straightforward JJ cord-282927-jhma20de 92 4 to to TO cord-282927-jhma20de 92 5 see see VB cord-282927-jhma20de 92 6 that that IN cord-282927-jhma20de 92 7 the the DT cord-282927-jhma20de 92 8 value value NN cord-282927-jhma20de 92 9 of of IN cord-282927-jhma20de 92 10 R r NN cord-282927-jhma20de 92 11 0 0 CD cord-282927-jhma20de 92 12 is be VBZ cord-282927-jhma20de 92 13 higher high JJR cord-282927-jhma20de 92 14 when when WRB cord-282927-jhma20de 92 15 there there EX cord-282927-jhma20de 92 16 is be VBZ cord-282927-jhma20de 92 17 no no DT cord-282927-jhma20de 92 18 control control NN cord-282927-jhma20de 92 19 . . . cord-282927-jhma20de 93 1 It -PRON- PRP cord-282927-jhma20de 93 2 is be VBZ cord-282927-jhma20de 93 3 to to IN cord-282927-jhma20de 93 4 197 197 CD cord-282927-jhma20de 93 5 be be VB cord-282927-jhma20de 93 6 noted note VBN cord-282927-jhma20de 93 7 that that IN cord-282927-jhma20de 93 8 whenever whenever WRB cord-282927-jhma20de 93 9 u u NNP cord-282927-jhma20de 93 10 1 1 CD cord-282927-jhma20de 93 11 = = SYM cord-282927-jhma20de 93 12 1 1 CD cord-282927-jhma20de 93 13 or or CC cord-282927-jhma20de 93 14 u u NNP cord-282927-jhma20de 93 15 2 2 CD cord-282927-jhma20de 93 16 = = SYM cord-282927-jhma20de 93 17 1 1 CD cord-282927-jhma20de 94 1 then then RB cord-282927-jhma20de 94 2 the the DT cord-282927-jhma20de 94 3 incidence incidence NN cord-282927-jhma20de 94 4 term term NN cord-282927-jhma20de 94 5 becomes become VBZ cord-282927-jhma20de 94 6 zero zero CD cord-282927-jhma20de 94 7 and and CC cord-282927-jhma20de 95 1 all all DT cord-282927-jhma20de 95 2 subsequent subsequent JJ cord-282927-jhma20de 95 3 state state NN cord-282927-jhma20de 95 4 variables variable NNS cord-282927-jhma20de 95 5 tend tend VBP cord-282927-jhma20de 95 6 _SP cord-282927-jhma20de 95 7 , , , cord-282927-jhma20de 95 8 where where WRB cord-282927-jhma20de 95 9 Then then RB cord-282927-jhma20de 95 10 the the DT cord-282927-jhma20de 95 11 Eq Eq NNP cord-282927-jhma20de 95 12 . . . cord-282927-jhma20de 96 1 ( ( -LRB- cord-282927-jhma20de 96 2 13 13 CD cord-282927-jhma20de 96 3 ) ) -RRB- cord-282927-jhma20de 96 4 can can MD cord-282927-jhma20de 96 5 be be VB cord-282927-jhma20de 96 6 reexpressed reexpresse VBN cord-282927-jhma20de 96 7 as as IN cord-282927-jhma20de 96 8 where where WRB cord-282927-jhma20de 96 9 R r NN cord-282927-jhma20de 96 10 0 0 CD cord-282927-jhma20de 96 11 is be VBZ cord-282927-jhma20de 96 12 given give VBN cord-282927-jhma20de 96 13 by by IN cord-282927-jhma20de 96 14 ( ( -LRB- cord-282927-jhma20de 96 15 11 11 CD cord-282927-jhma20de 96 16 ) ) -RRB- cord-282927-jhma20de 96 17 with with IN cord-282927-jhma20de 96 18 u u NNP cord-282927-jhma20de 96 19 i i PRP cord-282927-jhma20de 96 20 ∈ ∈ VBP cord-282927-jhma20de 96 21 [ [ -LRB- cord-282927-jhma20de 96 22 0 0 CD cord-282927-jhma20de 96 23 , , , cord-282927-jhma20de 96 24 1 1 CD cord-282927-jhma20de 96 25 ) ) -RRB- cord-282927-jhma20de 97 1 , , , cord-282927-jhma20de 97 2 i i PRP cord-282927-jhma20de 97 3 = = SYM cord-282927-jhma20de 97 4 1 1 CD cord-282927-jhma20de 97 5 , , , cord-282927-jhma20de 97 6 2 2 CD cord-282927-jhma20de 97 7 . . . cord-282927-jhma20de 98 1 Clearly clearly RB cord-282927-jhma20de 98 2 , , , cord-282927-jhma20de 98 3 there there EX cord-282927-jhma20de 98 4 exists exist VBZ cord-282927-jhma20de 98 5 a a DT cord-282927-jhma20de 98 6 unique unique JJ cord-282927-jhma20de 98 7 interior interior JJ cord-282927-jhma20de 98 8 equilibrium equilibrium NN cord-282927-jhma20de 99 1 E e UH cord-282927-jhma20de 99 2 * * NN cord-282927-jhma20de 99 3 of of IN cord-282927-jhma20de 99 4 the the DT cord-282927-jhma20de 99 5 system system NN cord-282927-jhma20de 99 6 208 208 CD cord-282927-jhma20de 99 7 ( ( -LRB- cord-282927-jhma20de 99 8 3 3 CD cord-282927-jhma20de 99 9 ) ) -RRB- cord-282927-jhma20de 100 1 whenever whenever WRB cord-282927-jhma20de 100 2 R r NN cord-282927-jhma20de 100 3 0 0 CD cord-282927-jhma20de 100 4 > > XX cord-282927-jhma20de 101 1 1 1 LS cord-282927-jhma20de 101 2 . . . cord-282927-jhma20de 102 1 209 209 CD cord-282927-jhma20de 103 1 We -PRON- PRP cord-282927-jhma20de 103 2 give give VBP cord-282927-jhma20de 103 3 below below IN cord-282927-jhma20de 103 4 the the DT cord-282927-jhma20de 103 5 stability stability NN cord-282927-jhma20de 103 6 results result NNS cord-282927-jhma20de 103 7 of of IN cord-282927-jhma20de 103 8 these these DT cord-282927-jhma20de 103 9 equilibrium equilibrium NN cord-282927-jhma20de 103 10 points point NNS cord-282927-jhma20de 103 11 . . . cord-282927-jhma20de 104 1 Theorem theorem NN cord-282927-jhma20de 104 2 3.1 3.1 CD cord-282927-jhma20de 104 3 The the DT cord-282927-jhma20de 104 4 disease disease NN cord-282927-jhma20de 104 5 - - HYPH cord-282927-jhma20de 104 6 free free JJ cord-282927-jhma20de 104 7 equilibrium equilibrium NN cord-282927-jhma20de 104 8 E e NN cord-282927-jhma20de 104 9 1 1 CD cord-282927-jhma20de 104 10 of of IN cord-282927-jhma20de 104 11 the the DT cord-282927-jhma20de 104 12 system system NN cord-282927-jhma20de 104 13 ( ( -LRB- cord-282927-jhma20de 104 14 3 3 LS cord-282927-jhma20de 104 15 ) ) -RRB- cord-282927-jhma20de 104 16 is be VBZ cord-282927-jhma20de 104 17 globally globally RB cord-282927-jhma20de 104 18 asymptotically asymptotically RB cord-282927-jhma20de 104 19 stable stable JJ cord-282927-jhma20de 104 20 if if IN cord-282927-jhma20de 104 21 R r NN cord-282927-jhma20de 104 22 0 0 CD cord-282927-jhma20de 104 23 ≤ ≤ NN cord-282927-jhma20de 104 24 1 1 CD cord-282927-jhma20de 104 25 . . . cord-282927-jhma20de 105 1 Proof proof NN cord-282927-jhma20de 105 2 . . . cord-282927-jhma20de 106 1 Consider consider VB cord-282927-jhma20de 106 2 the the DT cord-282927-jhma20de 106 3 Lyapunov Lyapunov NNP cord-282927-jhma20de 106 4 function function NN cord-282927-jhma20de 106 5 212 212 CD cord-282927-jhma20de 106 6 _SP cord-282927-jhma20de 107 1 Noting note VBG cord-282927-jhma20de 107 2 that that IN cord-282927-jhma20de 107 3 Thus thus RB cord-282927-jhma20de 107 4 , , , cord-282927-jhma20de 107 5 U u NN cord-282927-jhma20de 107 6 1 1 CD cord-282927-jhma20de 107 7 ≤ ≤ NN cord-282927-jhma20de 107 8 0 0 CD cord-282927-jhma20de 107 9 if if IN cord-282927-jhma20de 107 10 R r NN cord-282927-jhma20de 107 11 0 0 CD cord-282927-jhma20de 107 12 ≤ ≤ NN cord-282927-jhma20de 107 13 1 1 CD cord-282927-jhma20de 107 14 . . . cord-282927-jhma20de 108 1 The the DT cord-282927-jhma20de 108 2 equality equality NN cord-282927-jhma20de 108 3 sign sign NN cord-282927-jhma20de 108 4 occurrs occurrs NN cord-282927-jhma20de 108 5 at at IN cord-282927-jhma20de 108 6 the the DT cord-282927-jhma20de 108 7 disease disease NN cord-282927-jhma20de 108 8 free free JJ cord-282927-jhma20de 108 9 equilibrium equilibrium NN cord-282927-jhma20de 108 10 , , , cord-282927-jhma20de 108 11 E e NN cord-282927-jhma20de 108 12 1 1 CD cord-282927-jhma20de 108 13 . . . cord-282927-jhma20de 109 1 Therefore therefore RB cord-282927-jhma20de 109 2 , , , cord-282927-jhma20de 109 3 using use VBG cord-282927-jhma20de 109 4 LaSalle LaSalle NNP cord-282927-jhma20de 109 5 's 's POS cord-282927-jhma20de 109 6 _SP cord-282927-jhma20de 109 7 Letting let VBG cord-282927-jhma20de 109 8 → → SYM cord-282927-jhma20de 109 9 0 0 NFP cord-282927-jhma20de 109 10 , , , cord-282927-jhma20de 109 11 we -PRON- PRP cord-282927-jhma20de 109 12 obtain obtain VBP cord-282927-jhma20de 109 13 lim lim NNP cord-282927-jhma20de 109 14 sup sup NNP cord-282927-jhma20de 109 15 t→∞ t→∞ NNP cord-282927-jhma20de 110 1 I -PRON- PRP cord-282927-jhma20de 110 2 c c NNP cord-282927-jhma20de 110 3 ( ( -LRB- cord-282927-jhma20de 110 4 t t NN cord-282927-jhma20de 110 5 ) ) -RRB- cord-282927-jhma20de 110 6 ≤ ≤ NN cord-282927-jhma20de 110 7 0 0 CD cord-282927-jhma20de 110 8 . . . cord-282927-jhma20de 111 1 Again again RB cord-282927-jhma20de 111 2 , , , cord-282927-jhma20de 111 3 using use VBG cord-282927-jhma20de 111 4 the the DT cord-282927-jhma20de 111 5 fact fact NN cord-282927-jhma20de 111 6 that that IN cord-282927-jhma20de 111 7 lim lim NNP cord-282927-jhma20de 111 8 inf inf NNP cord-282927-jhma20de 111 9 t→∞ t→∞ NNP cord-282927-jhma20de 112 1 I -PRON- PRP cord-282927-jhma20de 112 2 h h NN cord-282927-jhma20de 112 3 ( ( -LRB- cord-282927-jhma20de 112 4 t t NN cord-282927-jhma20de 112 5 ) ) -RRB- cord-282927-jhma20de 112 6 = = SYM cord-282927-jhma20de 112 7 0 0 CD cord-282927-jhma20de 112 8 , , , cord-282927-jhma20de 112 9 lim lim NNP cord-282927-jhma20de 112 10 inf inf NNP cord-282927-jhma20de 112 11 t→∞ t→∞ NNP cord-282927-jhma20de 113 1 I -PRON- PRP cord-282927-jhma20de 113 2 c c NNP cord-282927-jhma20de 113 3 ( ( -LRB- cord-282927-jhma20de 113 4 t t NN cord-282927-jhma20de 113 5 ) ) -RRB- cord-282927-jhma20de 113 6 ≥ ≥ CD cord-282927-jhma20de 113 7 0 0 CD cord-282927-jhma20de 113 8 . . . cord-282927-jhma20de 113 9 _SP cord-282927-jhma20de 114 1 We -PRON- PRP cord-282927-jhma20de 114 2 consider consider VBP cord-282927-jhma20de 114 3 the the DT cord-282927-jhma20de 114 4 average average NN cord-282927-jhma20de 114 5 per per IN cord-282927-jhma20de 114 6 capita capita FW cord-282927-jhma20de 114 7 daily daily JJ cord-282927-jhma20de 114 8 contacts contact NNS cord-282927-jhma20de 114 9 of of IN cord-282927-jhma20de 114 10 an an DT cord-282927-jhma20de 114 11 undetected undetected JJ cord-282927-jhma20de 114 12 infectious infectious JJ cord-282927-jhma20de 114 13 individual individual NN cord-282927-jhma20de 114 14 , , , cord-282927-jhma20de 114 15 n n UH cord-282927-jhma20de 114 16 , , , cord-282927-jhma20de 114 17 as as IN cord-282927-jhma20de 114 18 the the DT cord-282927-jhma20de 114 19 bifurcating bifurcating JJ cord-282927-jhma20de 114 20 parameter parameter NN cord-282927-jhma20de 114 21 226 226 CD cord-282927-jhma20de 114 22 and and CC cord-282927-jhma20de 114 23 apply apply VB cord-282927-jhma20de 114 24 the the DT cord-282927-jhma20de 114 25 central central JJ cord-282927-jhma20de 114 26 manifold manifold JJ cord-282927-jhma20de 114 27 theorem theorem NN cord-282927-jhma20de 114 28 to to TO cord-282927-jhma20de 114 29 determine determine VB cord-282927-jhma20de 114 30 the the DT cord-282927-jhma20de 114 31 local local JJ cord-282927-jhma20de 114 32 stability stability NN cord-282927-jhma20de 114 33 of of IN cord-282927-jhma20de 114 34 E e NN cord-282927-jhma20de 114 35 * * NFP cord-282927-jhma20de 114 36 . . . cord-282927-jhma20de 115 1 The the DT cord-282927-jhma20de 115 2 critical critical JJ cord-282927-jhma20de 115 3 value value NN cord-282927-jhma20de 115 4 n n NN cord-282927-jhma20de 115 5 = = SYM cord-282927-jhma20de 115 6 n n CC cord-282927-jhma20de 115 7 * * NFP cord-282927-jhma20de 115 8 for for IN cord-282927-jhma20de 115 9 which which WDT cord-282927-jhma20de 115 10 R r NN cord-282927-jhma20de 115 11 0 0 CD cord-282927-jhma20de 115 12 = = SYM cord-282927-jhma20de 115 13 1 1 CD cord-282927-jhma20de 115 14 227 227 CD cord-282927-jhma20de 115 15 holds hold VBZ cord-282927-jhma20de 115 16 is be VBZ cord-282927-jhma20de 115 17 Now now RB cord-282927-jhma20de 115 18 let let VBN cord-282927-jhma20de 115 19 at at IN cord-282927-jhma20de 116 1 n n NN cord-282927-jhma20de 116 2 = = SYM cord-282927-jhma20de 116 3 n n NNP cord-282927-jhma20de 116 4 * * NNP cord-282927-jhma20de 116 5 , , , cord-282927-jhma20de 116 6 the the DT cord-282927-jhma20de 116 7 Jacobian jacobian JJ cord-282927-jhma20de 116 8 matrix matrix NN cord-282927-jhma20de 116 9 J J NNP cord-282927-jhma20de 116 10 E E NNP cord-282927-jhma20de 117 1 1 1 CD cord-282927-jhma20de 117 2 | | NNP cord-282927-jhma20de 117 3 n n NN cord-282927-jhma20de 117 4 = = SYM cord-282927-jhma20de 117 5 n n NNP cord-282927-jhma20de 117 6 * * NFP cord-282927-jhma20de 117 7 has have VBZ cord-282927-jhma20de 117 8 a a DT cord-282927-jhma20de 117 9 right right JJ cord-282927-jhma20de 117 10 eigenvector eigenvector NN cord-282927-jhma20de 117 11 u u NN cord-282927-jhma20de 117 12 = = NN cord-282927-jhma20de 117 13 ( ( -LRB- cord-282927-jhma20de 118 1 x x SYM cord-282927-jhma20de 118 2 1 1 CD cord-282927-jhma20de 118 3 , , , cord-282927-jhma20de 119 1 x x LS cord-282927-jhma20de 119 2 2 2 CD cord-282927-jhma20de 119 3 , , , cord-282927-jhma20de 119 4 x x SYM cord-282927-jhma20de 119 5 3 3 CD cord-282927-jhma20de 119 6 , , , cord-282927-jhma20de 119 7 x x SYM cord-282927-jhma20de 119 8 4 4 CD cord-282927-jhma20de 119 9 , , , cord-282927-jhma20de 120 1 x x LS cord-282927-jhma20de 120 2 5 5 CD cord-282927-jhma20de 120 3 ) ) -RRB- cord-282927-jhma20de 120 4 T t NN cord-282927-jhma20de 120 5 corresponding correspond VBG cord-282927-jhma20de 120 6 to to IN cord-282927-jhma20de 120 7 the the DT cord-282927-jhma20de 120 8 229 229 CD cord-282927-jhma20de 120 9 zero zero CD cord-282927-jhma20de 120 10 eigenvalue eigenvalue NN cord-282927-jhma20de 120 11 , , , cord-282927-jhma20de 120 12 where where WRB cord-282927-jhma20de 120 13 230 230 CD cord-282927-jhma20de 120 14 Similarly similarly RB cord-282927-jhma20de 120 15 , , , cord-282927-jhma20de 120 16 a a DT cord-282927-jhma20de 120 17 left left JJ cord-282927-jhma20de 120 18 eigenvector eigenvector NN cord-282927-jhma20de 120 19 corresponding correspond VBG cord-282927-jhma20de 120 20 to to IN cord-282927-jhma20de 120 21 the the DT cord-282927-jhma20de 120 22 zero zero CD cord-282927-jhma20de 120 23 eigenvalue eigenvalue NN cord-282927-jhma20de 120 24 of of IN cord-282927-jhma20de 120 25 the the DT cord-282927-jhma20de 120 26 Jacobian jacobian JJ cord-282927-jhma20de 120 27 matrix matrix NN cord-282927-jhma20de 120 28 J J NNP cord-282927-jhma20de 120 29 E E NNP cord-282927-jhma20de 120 30 1 1 CD cord-282927-jhma20de 121 1 | | NNP cord-282927-jhma20de 121 2 n n NNP cord-282927-jhma20de 121 3 = = SYM cord-282927-jhma20de 121 4 n n NNP cord-282927-jhma20de 121 5 * * NFP cord-282927-jhma20de 121 6 is be VBZ cord-282927-jhma20de 121 7 w w NN cord-282927-jhma20de 121 8 = = NFP cord-282927-jhma20de 122 1 ( ( -LRB- cord-282927-jhma20de 122 2 w w NN cord-282927-jhma20de 122 3 1 1 CD cord-282927-jhma20de 122 4 , , , cord-282927-jhma20de 122 5 w w NN cord-282927-jhma20de 122 6 2 2 CD cord-282927-jhma20de 122 7 , , , cord-282927-jhma20de 122 8 w w NN cord-282927-jhma20de 122 9 3 3 CD cord-282927-jhma20de 122 10 , , , cord-282927-jhma20de 122 11 w w NNP cord-282927-jhma20de 122 12 4 4 CD cord-282927-jhma20de 122 13 , , , cord-282927-jhma20de 122 14 w w NN cord-282927-jhma20de 122 15 5 5 CD cord-282927-jhma20de 122 16 ) ) -RRB- cord-282927-jhma20de 122 17 , , , cord-282927-jhma20de 122 18 With with IN cord-282927-jhma20de 122 19 the the DT cord-282927-jhma20de 122 20 transformations transformation NNS cord-282927-jhma20de 122 21 S S NNP cord-282927-jhma20de 122 22 = = SYM cord-282927-jhma20de 122 23 y y NN cord-282927-jhma20de 122 24 1 1 CD cord-282927-jhma20de 123 1 , , , cord-282927-jhma20de 123 2 E E NNP cord-282927-jhma20de 123 3 = = SYM cord-282927-jhma20de 123 4 y y NNP cord-282927-jhma20de 123 5 2 2 CD cord-282927-jhma20de 123 6 , , , cord-282927-jhma20de 124 1 I -PRON- PRP cord-282927-jhma20de 124 2 h h NN cord-282927-jhma20de 124 3 = = SYM cord-282927-jhma20de 124 4 y y NNP cord-282927-jhma20de 124 5 3 3 CD cord-282927-jhma20de 124 6 , , , cord-282927-jhma20de 124 7 I i NN cord-282927-jhma20de 124 8 c c NN cord-282927-jhma20de 125 1 = = NFP cord-282927-jhma20de 125 2 y y NNP cord-282927-jhma20de 125 3 4 4 CD cord-282927-jhma20de 125 4 , , , cord-282927-jhma20de 126 1 R r NN cord-282927-jhma20de 126 2 = = SYM cord-282927-jhma20de 126 3 y y NNP cord-282927-jhma20de 126 4 5 5 CD cord-282927-jhma20de 126 5 , , , cord-282927-jhma20de 126 6 the the DT cord-282927-jhma20de 126 7 system system NN cord-282927-jhma20de 126 8 ( ( -LRB- cord-282927-jhma20de 126 9 3 3 LS cord-282927-jhma20de 126 10 ) ) -RRB- cord-282927-jhma20de 126 11 can can MD cord-282927-jhma20de 126 12 be be VB cord-282927-jhma20de 126 13 expressed express VBN cord-282927-jhma20de 126 14 as as IN cord-282927-jhma20de 126 15 where where WRB cord-282927-jhma20de 126 16 g g NN cord-282927-jhma20de 126 17 i i PRP cord-282927-jhma20de 126 18 ∈ ∈ VBP cord-282927-jhma20de 126 19 C c NN cord-282927-jhma20de 126 20 2 2 CD cord-282927-jhma20de 127 1 ( ( -LRB- cord-282927-jhma20de 127 2 R R NNP cord-282927-jhma20de 127 3 5 5 CD cord-282927-jhma20de 127 4 × × NN cord-282927-jhma20de 127 5 R r NN cord-282927-jhma20de 127 6 ) ) -RRB- cord-282927-jhma20de 127 7 , , , cord-282927-jhma20de 127 8 i i PRP cord-282927-jhma20de 127 9 = = SYM cord-282927-jhma20de 127 10 1 1 CD cord-282927-jhma20de 127 11 , , , cord-282927-jhma20de 127 12 .. .. NFP cord-282927-jhma20de 127 13 , , , cord-282927-jhma20de 127 14 5 5 CD cord-282927-jhma20de 127 15 . . . cord-282927-jhma20de 128 1 Then then RB cord-282927-jhma20de 128 2 the the DT cord-282927-jhma20de 128 3 second second JJ cord-282927-jhma20de 128 4 order order NN cord-282927-jhma20de 128 5 partial partial JJ cord-282927-jhma20de 128 6 derivatives derivative NNS cord-282927-jhma20de 128 7 of of IN cord-282927-jhma20de 128 8 g g NN cord-282927-jhma20de 128 9 i i PRP cord-282927-jhma20de 128 10 at at IN cord-282927-jhma20de 128 11 E e NN cord-282927-jhma20de 128 12 1 1 CD cord-282927-jhma20de 128 13 are be VBP cord-282927-jhma20de 128 14 evaluated evaluate VBN cord-282927-jhma20de 128 15 as as IN cord-282927-jhma20de 128 16 The the DT cord-282927-jhma20de 128 17 signs sign NNS cord-282927-jhma20de 128 18 of of IN cord-282927-jhma20de 128 19 the the DT cord-282927-jhma20de 128 20 quantities quantity NNS cord-282927-jhma20de 128 21 α α NNP cord-282927-jhma20de 128 22 and and CC cord-282927-jhma20de 128 23 β β NN cord-282927-jhma20de 128 24 evaluated evaluate VBD cord-282927-jhma20de 128 25 at at IN cord-282927-jhma20de 128 26 n n NN cord-282927-jhma20de 128 27 = = SYM cord-282927-jhma20de 128 28 n n NNP cord-282927-jhma20de 128 29 * * NFP cord-282927-jhma20de 128 30 determine determine VB cord-282927-jhma20de 128 31 the the DT cord-282927-jhma20de 128 32 local local JJ cord-282927-jhma20de 128 33 stability stability NN cord-282927-jhma20de 128 34 of of IN cord-282927-jhma20de 128 35 the the DT cord-282927-jhma20de 128 36 system system NN cord-282927-jhma20de 128 37 [ [ -LRB- cord-282927-jhma20de 128 38 50 50 CD cord-282927-jhma20de 128 39 ] ] -RRB- cord-282927-jhma20de 128 40 , , , cord-282927-jhma20de 128 41 where where WRB cord-282927-jhma20de 128 42 234 234 CD cord-282927-jhma20de 128 43 α α NN cord-282927-jhma20de 128 44 = = SYM cord-282927-jhma20de 128 45 Σ σ NN cord-282927-jhma20de 128 46 5 5 CD cord-282927-jhma20de 128 47 k k NNP cord-282927-jhma20de 128 48 , , , cord-282927-jhma20de 128 49 m m NNP cord-282927-jhma20de 128 50 , , , cord-282927-jhma20de 128 51 n=1 n=1 -LRB- cord-282927-jhma20de 128 52 w w NNP cord-282927-jhma20de 128 53 k k NNP cord-282927-jhma20de 128 54 x x SYM cord-282927-jhma20de 128 55 m m NNP cord-282927-jhma20de 128 56 x x NN cord-282927-jhma20de 128 57 n n NN cord-282927-jhma20de 128 58 ∂ ∂ NNP cord-282927-jhma20de 129 1 2 2 LS cord-282927-jhma20de 129 2 g g NN cord-282927-jhma20de 129 3 k k NN cord-282927-jhma20de 129 4 ( ( -LRB- cord-282927-jhma20de 129 5 0 0 NFP cord-282927-jhma20de 129 6 , , , cord-282927-jhma20de 129 7 0 0 CD cord-282927-jhma20de 129 8 ) ) -RRB- cord-282927-jhma20de 129 9 ∂y ∂y . cord-282927-jhma20de 130 1 m m LS cord-282927-jhma20de 130 2 ∂y ∂y NNP cord-282927-jhma20de 130 3 n n NNP cord-282927-jhma20de 130 4 and and CC cord-282927-jhma20de 130 5 β β NN cord-282927-jhma20de 130 6 = = NN cord-282927-jhma20de 131 1 Σ Σ NNP cord-282927-jhma20de 131 2 5 5 CD cord-282927-jhma20de 131 3 k k NNP cord-282927-jhma20de 131 4 , , , cord-282927-jhma20de 131 5 i=1 i=1 NNP cord-282927-jhma20de 131 6 w w NNP cord-282927-jhma20de 132 1 k k NNP cord-282927-jhma20de 133 1 x x LS cord-282927-jhma20de 134 1 i i PRP cord-282927-jhma20de 134 2 ∂ ∂ NNP cord-282927-jhma20de 135 1 2 2 LS cord-282927-jhma20de 135 2 g g NN cord-282927-jhma20de 135 3 k k NN cord-282927-jhma20de 135 4 ( ( -LRB- cord-282927-jhma20de 135 5 0 0 NFP cord-282927-jhma20de 135 6 , , , cord-282927-jhma20de 135 7 0 0 CD cord-282927-jhma20de 135 8 ) ) -RRB- cord-282927-jhma20de 135 9 ∂y ∂y . cord-282927-jhma20de 136 1 i i PRP cord-282927-jhma20de 137 1 ∂n ∂n NFP cord-282927-jhma20de 137 2 . . . cord-282927-jhma20de 138 1 Following follow VBG cord-282927-jhma20de 138 2 the the DT cord-282927-jhma20de 138 3 Remark Remark NNP cord-282927-jhma20de 138 4 1 1 CD cord-282927-jhma20de 138 5 of of IN cord-282927-jhma20de 138 6 Theorem Theorem NNP cord-282927-jhma20de 138 7 4.1 4.1 CD cord-282927-jhma20de 138 8 given give VBN cord-282927-jhma20de 138 9 in in IN cord-282927-jhma20de 138 10 [ [ -LRB- cord-282927-jhma20de 138 11 50 50 CD cord-282927-jhma20de 138 12 ] ] -RRB- cord-282927-jhma20de 138 13 , , , cord-282927-jhma20de 138 14 a a DT cord-282927-jhma20de 138 15 transcritical transcritical JJ cord-282927-jhma20de 138 16 bifurcation bifurcation NN cord-282927-jhma20de 138 17 will will MD cord-282927-jhma20de 138 18 occur occur VB cord-282927-jhma20de 138 19 at at IN cord-282927-jhma20de 138 20 R r NN cord-282927-jhma20de 138 21 0 0 CD cord-282927-jhma20de 138 22 = = SYM cord-282927-jhma20de 138 23 1 1 CD cord-282927-jhma20de 138 24 if if IN cord-282927-jhma20de 138 25 α α NN cord-282927-jhma20de 138 26 < < XX cord-282927-jhma20de 138 27 0 0 CD cord-282927-jhma20de 138 28 and and CC cord-282927-jhma20de 138 29 235 235 CD cord-282927-jhma20de 138 30 β β NN cord-282927-jhma20de 138 31 > > XX cord-282927-jhma20de 138 32 0 0 NFP cord-282927-jhma20de 139 1 at at IN cord-282927-jhma20de 139 2 n n NN cord-282927-jhma20de 139 3 = = SYM cord-282927-jhma20de 139 4 n n NNP cord-282927-jhma20de 139 5 * * NFP cord-282927-jhma20de 139 6 . . . cord-282927-jhma20de 140 1 Substituting substitute VBG cord-282927-jhma20de 140 2 all all PDT cord-282927-jhma20de 140 3 the the DT cord-282927-jhma20de 140 4 values value NNS cord-282927-jhma20de 140 5 of of IN cord-282927-jhma20de 140 6 the the DT cord-282927-jhma20de 140 7 second second JJ cord-282927-jhma20de 140 8 order order NN cord-282927-jhma20de 140 9 partial partial JJ cord-282927-jhma20de 140 10 derivative derivative JJ cord-282927-jhma20de 140 11 evaluate evaluate NN cord-282927-jhma20de 140 12 at at IN cord-282927-jhma20de 140 13 E e NN cord-282927-jhma20de 140 14 1 1 CD cord-282927-jhma20de 140 15 with with IN cord-282927-jhma20de 141 1 n n NN cord-282927-jhma20de 141 2 = = SYM cord-282927-jhma20de 141 3 n n NNP cord-282927-jhma20de 141 4 * * NFP cord-282927-jhma20de 141 5 , , , cord-282927-jhma20de 141 6 we -PRON- PRP cord-282927-jhma20de 141 7 then then RB cord-282927-jhma20de 141 8 implying imply VBG cord-282927-jhma20de 141 9 a a DT cord-282927-jhma20de 141 10 transcritical transcritical JJ cord-282927-jhma20de 141 11 bifurcation bifurcation NN cord-282927-jhma20de 141 12 at at IN cord-282927-jhma20de 141 13 R r NN cord-282927-jhma20de 141 14 0 0 CD cord-282927-jhma20de 141 15 = = SYM cord-282927-jhma20de 141 16 1 1 CD cord-282927-jhma20de 141 17 . . . cord-282927-jhma20de 142 1 Thus thus RB cord-282927-jhma20de 142 2 , , , cord-282927-jhma20de 142 3 whenever whenever WRB cord-282927-jhma20de 142 4 the the DT cord-282927-jhma20de 142 5 endemic endemic JJ cord-282927-jhma20de 142 6 equilibrium equilibrium NN cord-282927-jhma20de 142 7 exists exist VBZ cord-282927-jhma20de 142 8 , , , cord-282927-jhma20de 142 9 i.e. i.e. FW cord-282927-jhma20de 142 10 , , , cord-282927-jhma20de 142 11 when when WRB cord-282927-jhma20de 142 12 R r NN cord-282927-jhma20de 142 13 0 0 CD cord-282927-jhma20de 142 14 > > SYM cord-282927-jhma20de 142 15 1 1 CD cord-282927-jhma20de 142 16 , , , cord-282927-jhma20de 142 17 it -PRON- PRP cord-282927-jhma20de 142 18 239 239 CD cord-282927-jhma20de 142 19 becomes become VBZ cord-282927-jhma20de 142 20 locally locally RB cord-282927-jhma20de 142 21 asymptotically asymptotically RB cord-282927-jhma20de 142 22 stable stable JJ cord-282927-jhma20de 142 23 . . . cord-282927-jhma20de 143 1 Hence hence RB cord-282927-jhma20de 143 2 the the DT cord-282927-jhma20de 143 3 theorem theorem NN cord-282927-jhma20de 143 4 is be VBZ cord-282927-jhma20de 143 5 proven prove VBN cord-282927-jhma20de 143 6 . . . cord-282927-jhma20de 144 1 The the DT cord-282927-jhma20de 144 2 data datum NNS cord-282927-jhma20de 144 3 for for IN cord-282927-jhma20de 144 4 India India NNP cord-282927-jhma20de 144 5 was be VBD cord-282927-jhma20de 144 6 collected collect VBN cord-282927-jhma20de 144 7 from from IN cord-282927-jhma20de 144 8 the the DT cord-282927-jhma20de 144 9 online online NN cord-282927-jhma20de 144 10 freely freely RB cord-282927-jhma20de 144 11 available available JJ cord-282927-jhma20de 144 12 repository repository NN cord-282927-jhma20de 144 13 Covid19India Covid19India NFP cord-282927-jhma20de 144 14 . . . cord-282927-jhma20de 145 1 Org Org NNP cord-282927-jhma20de 145 2 ( ( -LRB- cord-282927-jhma20de 145 3 https://www.covid19india.org/ https://www.covid19india.org/ NNP cord-282927-jhma20de 145 4 ) ) -RRB- cord-282927-jhma20de 145 5 . . . cord-282927-jhma20de 146 1 In in IN cord-282927-jhma20de 146 2 this this DT cord-282927-jhma20de 146 3 website website NN cord-282927-jhma20de 146 4 , , , cord-282927-jhma20de 146 5 day day NN cord-282927-jhma20de 146 6 - - HYPH cord-282927-jhma20de 146 7 wise wise JJ cord-282927-jhma20de 146 8 data datum NNS cord-282927-jhma20de 146 9 , , , cord-282927-jhma20de 146 10 as as RB cord-282927-jhma20de 146 11 well well RB cord-282927-jhma20de 146 12 as as IN cord-282927-jhma20de 146 13 the the DT cord-282927-jhma20de 146 14 cumulative cumulative JJ cord-282927-jhma20de 146 15 data datum NNS cord-282927-jhma20de 146 16 of of IN cord-282927-jhma20de 146 17 corona corona NN cord-282927-jhma20de 146 18 cases case NNS cord-282927-jhma20de 146 19 in in IN cord-282927-jhma20de 146 20 India India NNP cord-282927-jhma20de 146 21 and and CC cord-282927-jhma20de 146 22 its -PRON- PRP$ cord-282927-jhma20de 146 23 all all DT cord-282927-jhma20de 146 24 states/ states/ CD cord-282927-jhma20de 146 25 union union NN cord-282927-jhma20de 146 26 territories territory NNS cord-282927-jhma20de 146 27 Table Table NNP cord-282927-jhma20de 146 28 2 2 CD cord-282927-jhma20de 146 29 . . . cord-282927-jhma20de 146 30 that that IN cord-282927-jhma20de 146 31 there there EX cord-282927-jhma20de 146 32 were be VBD cord-282927-jhma20de 146 33 many many JJ cord-282927-jhma20de 146 34 inaccuracies inaccuracy NNS cord-282927-jhma20de 146 35 in in IN cord-282927-jhma20de 146 36 the the DT cord-282927-jhma20de 146 37 initial initial JJ cord-282927-jhma20de 146 38 data datum NNS cord-282927-jhma20de 146 39 . . . cord-282927-jhma20de 147 1 In in IN cord-282927-jhma20de 147 2 many many JJ cord-282927-jhma20de 147 3 cases case NNS cord-282927-jhma20de 147 4 , , , cord-282927-jhma20de 147 5 there there EX cord-282927-jhma20de 147 6 were be VBD cord-282927-jhma20de 147 7 under under RB cord-282927-jhma20de 147 8 - - HYPH cord-282927-jhma20de 147 9 reporting reporting NN cord-282927-jhma20de 147 10 of of IN cord-282927-jhma20de 147 11 the the DT cord-282927-jhma20de 147 12 actual actual JJ cord-282927-jhma20de 147 13 facts fact NNS cord-282927-jhma20de 147 14 , , , cord-282927-jhma20de 147 15 and and CC cord-282927-jhma20de 147 16 The the DT cord-282927-jhma20de 147 17 curve curve NN cord-282927-jhma20de 147 18 R r NN cord-282927-jhma20de 147 19 0 0 CD cord-282927-jhma20de 147 20 = = SYM cord-282927-jhma20de 147 21 1 1 CD cord-282927-jhma20de 147 22 separates separate VBZ cord-282927-jhma20de 147 23 the the DT cord-282927-jhma20de 147 24 infection infection NN cord-282927-jhma20de 147 25 - - HYPH cord-282927-jhma20de 147 26 free free JJ cord-282927-jhma20de 147 27 state state NN cord-282927-jhma20de 148 1 ( ( -LRB- cord-282927-jhma20de 148 2 R r NN cord-282927-jhma20de 148 3 0 0 CD cord-282927-jhma20de 148 4 < < XX cord-282927-jhma20de 148 5 1 1 CD cord-282927-jhma20de 148 6 ) ) -RRB- cord-282927-jhma20de 148 7 from from IN cord-282927-jhma20de 148 8 the the DT cord-282927-jhma20de 148 9 endemic endemic JJ cord-282927-jhma20de 148 10 state state NN cord-282927-jhma20de 148 11 ( ( -LRB- cord-282927-jhma20de 148 12 R r NN cord-282927-jhma20de 148 13 0 0 CD cord-282927-jhma20de 148 14 > > SYM cord-282927-jhma20de 148 15 1 1 CD cord-282927-jhma20de 148 16 ) ) -RRB- cord-282927-jhma20de 148 17 in in IN cord-282927-jhma20de 148 18 the the DT cord-282927-jhma20de 148 19 plane plane NN cord-282927-jhma20de 148 20 of of IN cord-282927-jhma20de 148 21 control control NN cord-282927-jhma20de 148 22 parameters parameter NNS cord-282927-jhma20de 148 23 u u NNP cord-282927-jhma20de 148 24 1 1 CD cord-282927-jhma20de 148 25 , , , cord-282927-jhma20de 148 26 u u NNP cord-282927-jhma20de 148 27 2 2 CD cord-282927-jhma20de 148 28 . . . cord-282927-jhma20de 149 1 The the DT cord-282927-jhma20de 149 2 present present JJ cord-282927-jhma20de 149 3 estimated estimate VBN cord-282927-jhma20de 149 4 values value NNS cord-282927-jhma20de 149 5 of of IN cord-282927-jhma20de 149 6 u u NNP cord-282927-jhma20de 149 7 1 1 CD cord-282927-jhma20de 149 8 and and CC cord-282927-jhma20de 149 9 u u NNP cord-282927-jhma20de 149 10 2 2 CD cord-282927-jhma20de 149 11 are be VBP cord-282927-jhma20de 149 12 marked mark VBN cord-282927-jhma20de 149 13 with with IN cord-282927-jhma20de 149 14 a a DT cord-282927-jhma20de 149 15 red red JJ cord-282927-jhma20de 149 16 dot dot NN cord-282927-jhma20de 149 17 . . . cord-282927-jhma20de 150 1 Parameters parameter NNS cord-282927-jhma20de 150 2 are be VBP cord-282927-jhma20de 150 3 as as IN cord-282927-jhma20de 150 4 in in IN cord-282927-jhma20de 150 5 the the DT cord-282927-jhma20de 150 6 Table table NN cord-282927-jhma20de 150 7 2 2 CD cord-282927-jhma20de 150 8 with with IN cord-282927-jhma20de 150 9 unlock unlock NN cord-282927-jhma20de 150 10 case case NN cord-282927-jhma20de 150 11 . . . cord-282927-jhma20de 151 1 Basic basic JJ cord-282927-jhma20de 151 2 reproduction reproduction NN cord-282927-jhma20de 151 3 of of IN cord-282927-jhma20de 151 4 an an DT cord-282927-jhma20de 151 5 epidemic epidemic NN cord-282927-jhma20de 151 6 model model NN cord-282927-jhma20de 151 7 usually usually RB cord-282927-jhma20de 151 8 delineates delineate VBZ cord-282927-jhma20de 151 9 the the DT cord-282927-jhma20de 151 10 stability stability NN cord-282927-jhma20de 151 11 and and CC cord-282927-jhma20de 151 12 existence existence NN cord-282927-jhma20de 151 13 of of IN cord-282927-jhma20de 151 14 a a DT cord-282927-jhma20de 151 15 disease disease NN cord-282927-jhma20de 151 16 - - HYPH cord-282927-jhma20de 151 17 free free JJ cord-282927-jhma20de 151 18 state state NN cord-282927-jhma20de 151 19 from from IN cord-282927-jhma20de 151 20 329 329 CD cord-282927-jhma20de 151 21 its -PRON- PRP$ cord-282927-jhma20de 151 22 endemic endemic JJ cord-282927-jhma20de 151 23 state state NN cord-282927-jhma20de 151 24 . . . cord-282927-jhma20de 152 1 More more RBR cord-282927-jhma20de 152 2 precisely precisely RB cord-282927-jhma20de 152 3 , , , cord-282927-jhma20de 152 4 if if IN cord-282927-jhma20de 152 5 the the DT cord-282927-jhma20de 152 6 basic basic JJ cord-282927-jhma20de 152 7 reproduction reproduction NN cord-282927-jhma20de 152 8 number number NN cord-282927-jhma20de 152 9 R r NN cord-282927-jhma20de 152 10 0 0 CD cord-282927-jhma20de 152 11 is be VBZ cord-282927-jhma20de 152 12 greater great JJR cord-282927-jhma20de 152 13 than than IN cord-282927-jhma20de 152 14 unity unity NN cord-282927-jhma20de 152 15 then then RB cord-282927-jhma20de 152 16 an an DT cord-282927-jhma20de 152 17 epidemic epidemic NN cord-282927-jhma20de 152 18 can can MD cord-282927-jhma20de 152 19 330 330 CD cord-282927-jhma20de 152 20 spread spread VB cord-282927-jhma20de 152 21 , , , cord-282927-jhma20de 152 22 otherwise otherwise RB cord-282927-jhma20de 152 23 epidemic epidemic NN cord-282927-jhma20de 152 24 dies die VBZ cord-282927-jhma20de 152 25 out out RP cord-282927-jhma20de 152 26 . . . cord-282927-jhma20de 153 1 We -PRON- PRP cord-282927-jhma20de 153 2 determined determine VBD cord-282927-jhma20de 153 3 the the DT cord-282927-jhma20de 153 4 basic basic JJ cord-282927-jhma20de 153 5 reproduction reproduction NN cord-282927-jhma20de 153 6 number number NN cord-282927-jhma20de 153 7 of of IN cord-282927-jhma20de 153 8 our -PRON- PRP$ cord-282927-jhma20de 153 9 system system NN cord-282927-jhma20de 153 10 by by IN cord-282927-jhma20de 153 11 next next JJ cord-282927-jhma20de 153 12 - - HYPH cord-282927-jhma20de 153 13 generation generation NN cord-282927-jhma20de 153 14 331 331 CD cord-282927-jhma20de 153 15 matrix matrix NN cord-282927-jhma20de 153 16 and and CC cord-282927-jhma20de 153 17 it -PRON- PRP cord-282927-jhma20de 153 18 showed show VBD cord-282927-jhma20de 153 19 that that IN cord-282927-jhma20de 153 20 the the DT cord-282927-jhma20de 153 21 classical classical JJ cord-282927-jhma20de 153 22 properties property NNS cord-282927-jhma20de 153 23 of of IN cord-282927-jhma20de 153 24 the the DT cord-282927-jhma20de 153 25 basic basic JJ cord-282927-jhma20de 153 26 reproduction reproduction NN cord-282927-jhma20de 153 27 number number NN cord-282927-jhma20de 153 28 remained remain VBD cord-282927-jhma20de 153 29 intact intact JJ cord-282927-jhma20de 153 30 for for IN cord-282927-jhma20de 153 31 Covid-19 Covid-19 NNP cord-282927-jhma20de 153 32 332 332 CD cord-282927-jhma20de 153 33 epidemic epidemic NN cord-282927-jhma20de 153 34 . . . cord-282927-jhma20de 154 1 In in IN cord-282927-jhma20de 154 2 the the DT cord-282927-jhma20de 154 3 case case NN cord-282927-jhma20de 154 4 of of IN cord-282927-jhma20de 154 5 India India NNP cord-282927-jhma20de 154 6 , , , cord-282927-jhma20de 154 7 the the DT cord-282927-jhma20de 154 8 basic basic JJ cord-282927-jhma20de 154 9 reproduction reproduction NN cord-282927-jhma20de 154 10 number number NN cord-282927-jhma20de 154 11 significantly significantly RB cord-282927-jhma20de 154 12 reduced reduce VBN cord-282927-jhma20de 154 13 during during IN cord-282927-jhma20de 154 14 the the DT cord-282927-jhma20de 154 15 lockdown lockdown NN cord-282927-jhma20de 154 16 period period NN cord-282927-jhma20de 154 17 , , , cord-282927-jhma20de 154 18 333 333 CD cord-282927-jhma20de 154 19 however however RB cord-282927-jhma20de 154 20 , , , cord-282927-jhma20de 154 21 it -PRON- PRP cord-282927-jhma20de 154 22 remained remain VBD cord-282927-jhma20de 154 23 almost almost RB cord-282927-jhma20de 154 24 the the DT cord-282927-jhma20de 154 25 same same JJ cord-282927-jhma20de 154 26 during during IN cord-282927-jhma20de 154 27 the the DT cord-282927-jhma20de 154 28 unlock unlock JJ cord-282927-jhma20de 154 29 period period NN cord-282927-jhma20de 154 30 ( ( -LRB- cord-282927-jhma20de 154 31 Fig Fig NNP cord-282927-jhma20de 154 32 . . . cord-282927-jhma20de 154 33 6(a 6(a CD cord-282927-jhma20de 154 34 ) ) -RRB- cord-282927-jhma20de 154 35 ) ) -RRB- cord-282927-jhma20de 154 36 . . . cord-282927-jhma20de 155 1 To to TO cord-282927-jhma20de 155 2 contain contain VB cord-282927-jhma20de 155 3 the the DT cord-282927-jhma20de 155 4 epidemic epidemic NN cord-282927-jhma20de 155 5 , , , cord-282927-jhma20de 155 6 the the DT cord-282927-jhma20de 155 7 value value NN cord-282927-jhma20de 155 8 of of IN cord-282927-jhma20de 155 9 334 334 CD cord-282927-jhma20de 155 10 R r NN cord-282927-jhma20de 155 11 0 0 CD cord-282927-jhma20de 155 12 has have VBZ cord-282927-jhma20de 155 13 to to TO cord-282927-jhma20de 155 14 be be VB cord-282927-jhma20de 155 15 brought bring VBN cord-282927-jhma20de 155 16 down down RP cord-282927-jhma20de 155 17 below below IN cord-282927-jhma20de 155 18 1 1 CD cord-282927-jhma20de 155 19 through through IN cord-282927-jhma20de 155 20 NPIs npi NNS cord-282927-jhma20de 155 21 in in IN cord-282927-jhma20de 155 22 absence absence NN cord-282927-jhma20de 155 23 of of IN cord-282927-jhma20de 155 24 vaccine vaccine NN cord-282927-jhma20de 155 25 . . . cord-282927-jhma20de 156 1 It -PRON- PRP cord-282927-jhma20de 156 2 is be VBZ cord-282927-jhma20de 156 3 worth worth JJ cord-282927-jhma20de 156 4 mentioning mention VBG cord-282927-jhma20de 156 5 that that IN cord-282927-jhma20de 156 6 the the DT cord-282927-jhma20de 156 7 value value NN cord-282927-jhma20de 156 8 of of IN cord-282927-jhma20de 156 9 the the DT cord-282927-jhma20de 156 10 335 335 CD cord-282927-jhma20de 156 11 nonpharmaceutical nonpharmaceutical JJ cord-282927-jhma20de 156 12 control control NN cord-282927-jhma20de 156 13 parameters parameter NNS cord-282927-jhma20de 156 14 must must MD cord-282927-jhma20de 156 15 be be VB cord-282927-jhma20de 156 16 significantly significantly RB cord-282927-jhma20de 156 17 high high JJ cord-282927-jhma20de 156 18 in in IN cord-282927-jhma20de 156 19 this this DT cord-282927-jhma20de 156 20 case case NN cord-282927-jhma20de 156 21 . . . cord-282927-jhma20de 157 1 Fig Fig NNP cord-282927-jhma20de 157 2 . . NNP cord-282927-jhma20de 157 3 6 6 CD cord-282927-jhma20de 157 4 ( ( -LRB- cord-282927-jhma20de 157 5 b b NN cord-282927-jhma20de 157 6 ) ) -RRB- cord-282927-jhma20de 157 7 shows show VBZ cord-282927-jhma20de 157 8 that that IN cord-282927-jhma20de 157 9 any any DT cord-282927-jhma20de 157 10 combination combination NN cord-282927-jhma20de 157 11 of of IN cord-282927-jhma20de 157 12 336 336 CD cord-282927-jhma20de 157 13 the the DT cord-282927-jhma20de 157 14 control control NN cord-282927-jhma20de 157 15 parameters parameter VBZ cord-282927-jhma20de 157 16 u u NNP cord-282927-jhma20de 157 17 1 1 CD cord-282927-jhma20de 157 18 and and CC cord-282927-jhma20de 157 19 u u NNP cord-282927-jhma20de 157 20 2 2 CD cord-282927-jhma20de 157 21 that that WDT cord-282927-jhma20de 157 22 lies lie VBZ cord-282927-jhma20de 157 23 above above IN cord-282927-jhma20de 157 24 the the DT cord-282927-jhma20de 157 25 curve curve NN cord-282927-jhma20de 157 26 R r NN cord-282927-jhma20de 157 27 0 0 CD cord-282927-jhma20de 157 28 = = SYM cord-282927-jhma20de 157 29 1 1 CD cord-282927-jhma20de 157 30 for for IN cord-282927-jhma20de 157 31 the the DT cord-282927-jhma20de 157 32 unlock unlock NN cord-282927-jhma20de 157 33 parameters parameter NNS cord-282927-jhma20de 157 34 can can MD cord-282927-jhma20de 157 35 eliminate eliminate VB cord-282927-jhma20de 157 36 SARS SARS NNP cord-282927-jhma20de 157 37 - - HYPH cord-282927-jhma20de 157 38 CoV-2 CoV-2 NNP cord-282927-jhma20de 157 39 337 337 CD cord-282927-jhma20de 157 40 virus virus NN cord-282927-jhma20de 157 41 from from IN cord-282927-jhma20de 157 42 the the DT cord-282927-jhma20de 157 43 system system NN cord-282927-jhma20de 157 44 . . . cord-282927-jhma20de 158 1 India India NNP cord-282927-jhma20de 158 2 is be VBZ cord-282927-jhma20de 158 3 trying try VBG cord-282927-jhma20de 158 4 hard hard RB cord-282927-jhma20de 158 5 to to TO cord-282927-jhma20de 158 6 prevent prevent VB cord-282927-jhma20de 158 7 the the DT cord-282927-jhma20de 158 8 transmission transmission NN cord-282927-jhma20de 158 9 of of IN cord-282927-jhma20de 158 10 coronavirus coronavirus NN cord-282927-jhma20de 158 11 by by IN cord-282927-jhma20de 158 12 implementing implement VBG cord-282927-jhma20de 158 13 NPIs NPIs NNP cord-282927-jhma20de 158 14 . . . cord-282927-jhma20de 159 1 People People NNS cord-282927-jhma20de 159 2 338 338 CD cord-282927-jhma20de 159 3 have have VBP cord-282927-jhma20de 159 4 become become VBN cord-282927-jhma20de 159 5 more more RBR cord-282927-jhma20de 159 6 aware aware JJ cord-282927-jhma20de 159 7 of of IN cord-282927-jhma20de 159 8 this this DT cord-282927-jhma20de 159 9 deadly deadly JJ cord-282927-jhma20de 159 10 virus virus NN cord-282927-jhma20de 159 11 and and CC cord-282927-jhma20de 159 12 following follow VBG cord-282927-jhma20de 159 13 the the DT cord-282927-jhma20de 159 14 statutory statutory JJ cord-282927-jhma20de 159 15 instructions instruction NNS cord-282927-jhma20de 159 16 more more RBR cord-282927-jhma20de 159 17 sincerely sincerely RB cord-282927-jhma20de 159 18 than than IN cord-282927-jhma20de 159 19 before before RB cord-282927-jhma20de 159 20 . . . cord-282927-jhma20de 160 1 Some some DT cord-282927-jhma20de 160 2 improve improve VBP cord-282927-jhma20de 160 3 the the DT cord-282927-jhma20de 160 4 overall overall JJ cord-282927-jhma20de 160 5 Covid-19 covid-19 JJ cord-282927-jhma20de 160 6 epidemic epidemic NN cord-282927-jhma20de 160 7 burden burden NN cord-282927-jhma20de 160 8 . . . cord-282927-jhma20de 161 1 It -PRON- PRP cord-282927-jhma20de 161 2 is be VBZ cord-282927-jhma20de 161 3 to to TO cord-282927-jhma20de 161 4 be be VB cord-282927-jhma20de 161 5 mentioned mention VBN cord-282927-jhma20de 161 6 that that IN cord-282927-jhma20de 161 7 we -PRON- PRP cord-282927-jhma20de 161 8 have have VBP cord-282927-jhma20de 161 9 used use VBN cord-282927-jhma20de 161 10 fixed fix VBN cord-282927-jhma20de 161 11 control control NN cord-282927-jhma20de 161 12 in in IN cord-282927-jhma20de 161 13 our -PRON- PRP$ cord-282927-jhma20de 161 14 study study NN cord-282927-jhma20de 161 15 , , , cord-282927-jhma20de 161 16 one one CD cord-282927-jhma20de 161 17 349 349 CD cord-282927-jhma20de 161 18 can can MD cord-282927-jhma20de 161 19 , , , cord-282927-jhma20de 161 20 however however RB cord-282927-jhma20de 161 21 , , , cord-282927-jhma20de 161 22 consider consider VB cord-282927-jhma20de 161 23 these these DT cord-282927-jhma20de 161 24 controls control NNS cord-282927-jhma20de 161 25 as as IN cord-282927-jhma20de 161 26 time time NN cord-282927-jhma20de 161 27 - - HYPH cord-282927-jhma20de 161 28 varying vary VBG cord-282927-jhma20de 161 29 in in IN cord-282927-jhma20de 161 30 finding find VBG cord-282927-jhma20de 161 31 optimal optimal JJ cord-282927-jhma20de 161 32 control control NN cord-282927-jhma20de 161 33 strategies strategy NNS cord-282927-jhma20de 161 34 to to TO cord-282927-jhma20de 161 35 reach reach VB cord-282927-jhma20de 161 36 out out RP cord-282927-jhma20de 161 37 to to IN cord-282927-jhma20de 161 38 the the DT cord-282927-jhma20de 161 39 target target NN cord-282927-jhma20de 161 40 . . . cord-282927-jhma20de 162 1 In in IN cord-282927-jhma20de 162 2 this this DT cord-282927-jhma20de 162 3 case case NN cord-282927-jhma20de 162 4 , , , cord-282927-jhma20de 162 5 the the DT cord-282927-jhma20de 162 6 objective objective NN cord-282927-jhma20de 162 7 should should MD cord-282927-jhma20de 162 8 be be VB cord-282927-jhma20de 162 9 to to TO cord-282927-jhma20de 162 10 minimize minimize VB cord-282927-jhma20de 162 11 the the DT cord-282927-jhma20de 162 12 number number NN cord-282927-jhma20de 162 13 of of IN cord-282927-jhma20de 162 14 individuals individual NNS cord-282927-jhma20de 162 15 to to IN cord-282927-jhma20de 162 16 all all DT cord-282927-jhma20de 162 17 infection infection NN cord-282927-jhma20de 162 18 - - HYPH cord-282927-jhma20de 162 19 related relate VBN cord-282927-jhma20de 162 20 classes class NNS cord-282927-jhma20de 162 21 , , , cord-282927-jhma20de 162 22 the the DT cord-282927-jhma20de 162 23 decease decease NN cord-282927-jhma20de 162 24 351 351 CD cord-282927-jhma20de 162 25 related relate VBN cord-282927-jhma20de 162 26 deaths death NNS cord-282927-jhma20de 162 27 and and CC cord-282927-jhma20de 162 28 the the DT cord-282927-jhma20de 162 29 related related JJ cord-282927-jhma20de 162 30 cost cost NN cord-282927-jhma20de 162 31 . . . cord-282927-jhma20de 162 32 _SP cord-282927-jhma20de 163 1 COVID-19 covid-19 JJ cord-282927-jhma20de 163 2 : : : cord-282927-jhma20de 163 3 peer peer NN cord-282927-jhma20de 163 4 support support NN cord-282927-jhma20de 163 5 and and CC cord-282927-jhma20de 163 6 crisis crisis NN cord-282927-jhma20de 163 7 communication communication NN cord-282927-jhma20de 163 8 strategies strategy NNS cord-282927-jhma20de 163 9 to to TO cord-282927-jhma20de 163 10 promote promote VB cord-282927-jhma20de 163 11 institutional institutional JJ cord-282927-jhma20de 163 12 resilience resilience NN cord-282927-jhma20de 163 13 Physical physical JJ cord-282927-jhma20de 163 14 distancing distancing NN cord-282927-jhma20de 163 15 , , , cord-282927-jhma20de 163 16 face face NN cord-282927-jhma20de 163 17 masks mask NNS cord-282927-jhma20de 163 18 , , , cord-282927-jhma20de 163 19 and and CC cord-282927-jhma20de 163 20 eye eye NN cord-282927-jhma20de 163 21 protection protection NN cord-282927-jhma20de 163 22 to to TO cord-282927-jhma20de 163 23 prevent prevent VB cord-282927-jhma20de 163 24 person person NN cord-282927-jhma20de 163 25 - - HYPH cord-282927-jhma20de 163 26 to to IN cord-282927-jhma20de 163 27 - - HYPH cord-282927-jhma20de 163 28 person person NN cord-282927-jhma20de 163 29 transmission transmission NN cord-282927-jhma20de 163 30 of of IN cord-282927-jhma20de 163 31 SARS SARS NNP cord-282927-jhma20de 163 32 - - HYPH cord-282927-jhma20de 163 33 CoV-2 CoV-2 NNP cord-282927-jhma20de 163 34 377 377 CD cord-282927-jhma20de 163 35 and and CC cord-282927-jhma20de 164 1 COVID-19 covid-19 VB cord-282927-jhma20de 164 2 : : : cord-282927-jhma20de 164 3 a a DT cord-282927-jhma20de 164 4 systematic systematic JJ cord-282927-jhma20de 164 5 review review NN cord-282927-jhma20de 164 6 and and CC cord-282927-jhma20de 164 7 meta meta NNP cord-282927-jhma20de 164 8 - - HYPH cord-282927-jhma20de 164 9 analysis analysis NN cord-282927-jhma20de 164 10 . . . cord-282927-jhma20de 165 1 The the DT cord-282927-jhma20de 165 2 Lancet Lancet NNP cord-282927-jhma20de 165 3 Face Face NNP cord-282927-jhma20de 165 4 masks mask NNS cord-282927-jhma20de 165 5 against against IN cord-282927-jhma20de 165 6 COVID-19 covid-19 VB cord-282927-jhma20de 165 7 : : : cord-282927-jhma20de 165 8 an an DT cord-282927-jhma20de 165 9 evidence evidence NN cord-282927-jhma20de 165 10 review review NN cord-282927-jhma20de 165 11 Respiratory respiratory JJ cord-282927-jhma20de 165 12 virus virus NN cord-282927-jhma20de 165 13 infections infection NNS cord-282927-jhma20de 165 14 : : : cord-282927-jhma20de 165 15 Understanding understand VBG cord-282927-jhma20de 165 16 COVID-19 COVID-19 NNP cord-282927-jhma20de 165 17 COVID-19 COVID-19 NNP cord-282927-jhma20de 165 18 diary diary NN cord-282927-jhma20de 165 19 from from IN cord-282927-jhma20de 165 20 a a DT cord-282927-jhma20de 165 21 psychiatry psychiatry NN cord-282927-jhma20de 165 22 department department NN cord-282927-jhma20de 165 23 in in IN cord-282927-jhma20de 165 24 Italy Italy NNP cord-282927-jhma20de 165 25 Reply Reply NNP cord-282927-jhma20de 165 26 to to IN cord-282927-jhma20de 165 27 ocular ocular JJ cord-282927-jhma20de 165 28 manifestation manifestation NN cord-282927-jhma20de 165 29 , , , cord-282927-jhma20de 165 30 eye eye NN cord-282927-jhma20de 165 31 protection protection NN cord-282927-jhma20de 165 32 , , , cord-282927-jhma20de 165 33 and and CC cord-282927-jhma20de 165 34 COVID-19 COVID-19 NNP cord-282927-jhma20de 165 35 . . . cord-282927-jhma20de 166 1 Graefe Graefe NNP cord-282927-jhma20de 166 2 's 's POS cord-282927-jhma20de 166 3 Archive Archive NNP cord-282927-jhma20de 166 4 for for IN cord-282927-jhma20de 166 5 Clinical Clinical NNP cord-282927-jhma20de 166 6 383 383 CD cord-282927-jhma20de 166 7 and and CC cord-282927-jhma20de 166 8 Experimental experimental JJ cord-282927-jhma20de 166 9 Ophthalmology ophthalmology NN cord-282927-jhma20de 167 1 Can Can MD cord-282927-jhma20de 167 2 we -PRON- PRP cord-282927-jhma20de 167 3 contain contain VB cord-282927-jhma20de 167 4 the the DT cord-282927-jhma20de 167 5 COVID-19 covid-19 JJ cord-282927-jhma20de 167 6 outbreak outbreak NN cord-282927-jhma20de 167 7 with with IN cord-282927-jhma20de 167 8 the the DT cord-282927-jhma20de 167 9 same same JJ cord-282927-jhma20de 167 10 measures measure NNS cord-282927-jhma20de 167 11 as as IN cord-282927-jhma20de 167 12 for for IN cord-282927-jhma20de 167 13 SARS SARS NNP cord-282927-jhma20de 168 1 All all RB cord-282927-jhma20de 168 2 together together RB cord-282927-jhma20de 168 3 to to TO cord-282927-jhma20de 168 4 Fight Fight NNP cord-282927-jhma20de 168 5 COVID-19 COVID-19 NNP cord-282927-jhma20de 168 6 Spread Spread NNP cord-282927-jhma20de 168 7 and and CC cord-282927-jhma20de 168 8 dynamics dynamic NNS cord-282927-jhma20de 168 9 of of IN cord-282927-jhma20de 168 10 the the DT cord-282927-jhma20de 168 11 COVID-19 covid-19 JJ cord-282927-jhma20de 168 12 epidemic epidemic NN cord-282927-jhma20de 168 13 in in IN cord-282927-jhma20de 168 14 Italy Italy NNP cord-282927-jhma20de 169 1 : : : cord-282927-jhma20de 169 2 Effects effect NNS cord-282927-jhma20de 169 3 of of IN cord-282927-jhma20de 169 4 emergency emergency NN cord-282927-jhma20de 169 5 containment containment NN cord-282927-jhma20de 169 6 measures measure NNS cord-282927-jhma20de 169 7 Successful successful JJ cord-282927-jhma20de 169 8 containment containment NN cord-282927-jhma20de 169 9 of of IN cord-282927-jhma20de 169 10 COVID-19 COVID-19 NNP cord-282927-jhma20de 169 11 : : : cord-282927-jhma20de 169 12 the the DT cord-282927-jhma20de 169 13 WHO WHO NNP cord-282927-jhma20de 169 14 - - HYPH cord-282927-jhma20de 169 15 Report Report NNP cord-282927-jhma20de 169 16 on on IN cord-282927-jhma20de 169 17 the the DT cord-282927-jhma20de 169 18 COVID-19 covid-19 JJ cord-282927-jhma20de 169 19 outbreak outbreak NN cord-282927-jhma20de 169 20 391 391 CD cord-282927-jhma20de 169 21 in in IN cord-282927-jhma20de 169 22 China China NNP cord-282927-jhma20de 169 23 From from IN cord-282927-jhma20de 169 24 containment containment NN cord-282927-jhma20de 169 25 to to IN cord-282927-jhma20de 169 26 mitigation mitigation NN cord-282927-jhma20de 169 27 of of IN cord-282927-jhma20de 169 28 COVID-19 COVID-19 NNP cord-282927-jhma20de 169 29 in in IN cord-282927-jhma20de 169 30 the the DT cord-282927-jhma20de 169 31 US US NNP cord-282927-jhma20de 169 32 A a DT cord-282927-jhma20de 169 33 mathematical mathematical JJ cord-282927-jhma20de 169 34 model model NN cord-282927-jhma20de 169 35 for for IN cord-282927-jhma20de 169 36 the the DT cord-282927-jhma20de 169 37 novel novel JJ cord-282927-jhma20de 169 38 coronavirus coronavirus NN cord-282927-jhma20de 169 39 epidemic epidemic NN cord-282927-jhma20de 169 40 in in IN cord-282927-jhma20de 169 41 Wuhan Wuhan NNP cord-282927-jhma20de 170 1 A a DT cord-282927-jhma20de 170 2 review review NN cord-282927-jhma20de 170 3 of of IN cord-282927-jhma20de 170 4 the the DT cord-282927-jhma20de 170 5 2019 2019 CD cord-282927-jhma20de 170 6 Novel Novel NNP cord-282927-jhma20de 170 7 Coronavirus Coronavirus NNP cord-282927-jhma20de 170 8 ( ( -LRB- cord-282927-jhma20de 170 9 COVID-19 COVID-19 NNP cord-282927-jhma20de 170 10 ) ) -RRB- cord-282927-jhma20de 170 11 based base VBN cord-282927-jhma20de 170 12 on on IN cord-282927-jhma20de 170 13 current current JJ cord-282927-jhma20de 170 14 evidence evidence NN cord-282927-jhma20de 170 15 . . . cord-282927-jhma20de 171 1 International International NNP cord-282927-jhma20de 171 2 396 396 CD cord-282927-jhma20de 171 3 journal journal NN cord-282927-jhma20de 171 4 of of IN cord-282927-jhma20de 171 5 antimicrobial antimicrobial JJ cord-282927-jhma20de 171 6 agents agent NNS cord-282927-jhma20de 171 7 2020 2020 CD cord-282927-jhma20de 172 1 COVID-19 covid-19 JJ cord-282927-jhma20de 172 2 treatment treatment NN cord-282927-jhma20de 172 3 by by IN cord-282927-jhma20de 172 4 repurposing repurpose VBG cord-282927-jhma20de 172 5 drugs drug NNS cord-282927-jhma20de 172 6 until until IN cord-282927-jhma20de 172 7 the the DT cord-282927-jhma20de 172 8 vaccine vaccine NN cord-282927-jhma20de 172 9 is be VBZ cord-282927-jhma20de 172 10 in in IN cord-282927-jhma20de 172 11 sight sight NN cord-282927-jhma20de 172 12 . . . cord-282927-jhma20de 173 1 Drug Drug NNP cord-282927-jhma20de 173 2 Development Development NNP cord-282927-jhma20de 173 3 Research Research NNP cord-282927-jhma20de 173 4 Drug Drug NNP cord-282927-jhma20de 173 5 repurposing repurposing NN cord-282927-jhma20de 173 6 : : : cord-282927-jhma20de 174 1 progress progress NN cord-282927-jhma20de 174 2 , , , cord-282927-jhma20de 174 3 challenges challenge NNS cord-282927-jhma20de 174 4 and and CC cord-282927-jhma20de 174 5 recommendations recommendation NNS cord-282927-jhma20de 174 6 The the DT cord-282927-jhma20de 174 7 Drug Drug NNP cord-282927-jhma20de 174 8 Repurposing Repurposing NNP cord-282927-jhma20de 174 9 Hub Hub NNP cord-282927-jhma20de 174 10 : : : cord-282927-jhma20de 174 11 a a DT cord-282927-jhma20de 174 12 next next JJ cord-282927-jhma20de 174 13 - - HYPH cord-282927-jhma20de 174 14 generation generation NN cord-282927-jhma20de 174 15 drug drug NN cord-282927-jhma20de 174 16 library library NN cord-282927-jhma20de 174 17 and and CC cord-282927-jhma20de 174 18 information information NN cord-282927-jhma20de 174 19 resource resource NN cord-282927-jhma20de 174 20 Dexamethasone Dexamethasone NNP cord-282927-jhma20de 174 21 : : : cord-282927-jhma20de 174 22 Coronavirus Coronavirus NNP cord-282927-jhma20de 174 23 Disease Disease NNP cord-282927-jhma20de 175 1 COVID-19 COVID-19 NNP cord-282927-jhma20de 175 2 . . . cord-282927-jhma20de 176 1 COVID-19 COVID-19 NNP cord-282927-jhma20de 176 2 Treatment Treatment NNP cord-282927-jhma20de 176 3 Guidelines Guidelines NNPS cord-282927-jhma20de 176 4 Compassionate compassionate JJ cord-282927-jhma20de 176 5 use use NN cord-282927-jhma20de 176 6 of of IN cord-282927-jhma20de 176 7 remdesivir remdesivir NNS cord-282927-jhma20de 176 8 for for IN cord-282927-jhma20de 176 9 patients patient NNS cord-282927-jhma20de 176 10 with with IN cord-282927-jhma20de 176 11 severe severe JJ cord-282927-jhma20de 176 12 Covid-19 Covid-19 NNP cord-282927-jhma20de 176 13 Remdesivir Remdesivir NNP cord-282927-jhma20de 176 14 for for IN cord-282927-jhma20de 176 15 5 5 CD cord-282927-jhma20de 176 16 or or CC cord-282927-jhma20de 176 17 10 10 CD cord-282927-jhma20de 176 18 days day NNS cord-282927-jhma20de 176 19 in in IN cord-282927-jhma20de 176 20 patients patient NNS cord-282927-jhma20de 176 21 with with IN cord-282927-jhma20de 176 22 severe severe JJ cord-282927-jhma20de 176 23 Covid-19 Covid-19 NNP cord-282927-jhma20de 176 24 Clinical clinical JJ cord-282927-jhma20de 176 25 benefit benefit NN cord-282927-jhma20de 176 26 of of IN cord-282927-jhma20de 176 27 remdesivir remdesivir NNP cord-282927-jhma20de 176 28 in in IN cord-282927-jhma20de 176 29 rhesus rhesus NNP cord-282927-jhma20de 176 30 macaques macaque NNS cord-282927-jhma20de 176 31 infected infect VBN cord-282927-jhma20de 176 32 with with IN cord-282927-jhma20de 176 33 SARS SARS NNP cord-282927-jhma20de 176 34 - - HYPH cord-282927-jhma20de 176 35 CoV-2 CoV-2 NNP cord-282927-jhma20de 177 1 First first RB cord-282927-jhma20de 178 1 COVID-19 covid-19 JJ cord-282927-jhma20de 178 2 treatment treatment NN cord-282927-jhma20de 178 3 recommended recommend VBN cord-282927-jhma20de 178 4 for for IN cord-282927-jhma20de 178 5 EU EU NNP cord-282927-jhma20de 178 6 authorisation authorisation NN cord-282927-jhma20de 178 7 United United NNP cord-282927-jhma20de 178 8 States States NNP cord-282927-jhma20de 178 9 Department Department NNP cord-282927-jhma20de 178 10 of of IN cord-282927-jhma20de 178 11 Health Health NNP cord-282927-jhma20de 178 12 & & CC cord-282927-jhma20de 178 13 414 414 CD cord-282927-jhma20de 178 14 Human Human NNP cord-282927-jhma20de 178 15 Services Services NNPS cord-282927-jhma20de 178 16 ( ( -LRB- cord-282927-jhma20de 178 17 HHS HHS NNP cord-282927-jhma20de 178 18 ) ) -RRB- cord-282927-jhma20de 178 19 Convalescent convalescent JJ cord-282927-jhma20de 178 20 plasma plasma NN cord-282927-jhma20de 178 21 as as IN cord-282927-jhma20de 178 22 a a DT cord-282927-jhma20de 178 23 potential potential JJ cord-282927-jhma20de 178 24 therapy therapy NN cord-282927-jhma20de 178 25 for for IN cord-282927-jhma20de 178 26 COVID-19 COVID-19 NNP cord-282927-jhma20de 178 27 . . . cord-282927-jhma20de 179 1 The the DT cord-282927-jhma20de 179 2 Lancet Lancet NNP cord-282927-jhma20de 179 3 Infectious Infectious NNP cord-282927-jhma20de 179 4 Diseases Diseases NNPS cord-282927-jhma20de 179 5 Treatment Treatment NNP cord-282927-jhma20de 179 6 of of IN cord-282927-jhma20de 179 7 COVID-19 covid-19 JJ cord-282927-jhma20de 179 8 : : : cord-282927-jhma20de 179 9 old old JJ cord-282927-jhma20de 179 10 tricks trick NNS cord-282927-jhma20de 179 11 for for IN cord-282927-jhma20de 179 12 new new JJ cord-282927-jhma20de 179 13 challenges challenge NNS cord-282927-jhma20de 179 14 Analysis Analysis NNP cord-282927-jhma20de 179 15 and and CC cord-282927-jhma20de 179 16 forecast forecast NN cord-282927-jhma20de 179 17 of of IN cord-282927-jhma20de 179 18 COVID-19 COVID-19 NNP cord-282927-jhma20de 179 19 spreading spreading NN cord-282927-jhma20de 179 20 in in IN cord-282927-jhma20de 179 21 China China NNP cord-282927-jhma20de 179 22 , , , cord-282927-jhma20de 179 23 Italy Italy NNP cord-282927-jhma20de 179 24 and and CC cord-282927-jhma20de 180 1 France France NNP cord-282927-jhma20de 180 2 Mathematical Mathematical NNP cord-282927-jhma20de 180 3 modeling modeling NN cord-282927-jhma20de 180 4 of of IN cord-282927-jhma20de 180 5 COVID-19 covid-19 JJ cord-282927-jhma20de 180 6 transmission transmission NN cord-282927-jhma20de 180 7 dynamics dynamic NNS cord-282927-jhma20de 180 8 with with IN cord-282927-jhma20de 180 9 a a DT cord-282927-jhma20de 180 10 case case NN cord-282927-jhma20de 180 11 study study NN cord-282927-jhma20de 180 12 of of IN cord-282927-jhma20de 180 13 Wuhan Wuhan NNP cord-282927-jhma20de 180 14 Healthcare Healthcare NNP cord-282927-jhma20de 180 15 impact impact NN cord-282927-jhma20de 180 16 of of IN cord-282927-jhma20de 180 17 COVID-19 covid-19 JJ cord-282927-jhma20de 180 18 epidemic epidemic NN cord-282927-jhma20de 180 19 in in IN cord-282927-jhma20de 180 20 India India NNP cord-282927-jhma20de 180 21 : : : cord-282927-jhma20de 180 22 A a DT cord-282927-jhma20de 180 23 stochastic stochastic JJ cord-282927-jhma20de 180 24 mathematical mathematical JJ cord-282927-jhma20de 180 25 model model NN cord-282927-jhma20de 180 26 Estimation estimation NN cord-282927-jhma20de 180 27 of of IN cord-282927-jhma20de 180 28 the the DT cord-282927-jhma20de 180 29 final final JJ cord-282927-jhma20de 180 30 size size NN cord-282927-jhma20de 180 31 of of IN cord-282927-jhma20de 180 32 the the DT cord-282927-jhma20de 180 33 second second JJ cord-282927-jhma20de 180 34 phase phase NN cord-282927-jhma20de 180 35 of of IN cord-282927-jhma20de 180 36 coronavirus coronavirus NN cord-282927-jhma20de 180 37 epidemic epidemic NN cord-282927-jhma20de 180 38 by by IN cord-282927-jhma20de 180 39 the the DT cord-282927-jhma20de 180 40 logistic logistic JJ cord-282927-jhma20de 180 41 model model NN cord-282927-jhma20de 180 42 Estimations Estimations NNPS cord-282927-jhma20de 180 43 of of IN cord-282927-jhma20de 180 44 the the DT cord-282927-jhma20de 180 45 coronavirus coronavirus NN cord-282927-jhma20de 180 46 epidemic epidemic NN cord-282927-jhma20de 180 47 dynamics dynamic NNS cord-282927-jhma20de 180 48 in in IN cord-282927-jhma20de 180 49 South South NNP cord-282927-jhma20de 180 50 Korea Korea NNP cord-282927-jhma20de 180 51 with with IN cord-282927-jhma20de 180 52 the the DT cord-282927-jhma20de 180 53 use use NN cord-282927-jhma20de 180 54 of of IN cord-282927-jhma20de 180 55 SIR SIR NNP cord-282927-jhma20de 180 56 model model NN cord-282927-jhma20de 180 57 Prediction Prediction NNP cord-282927-jhma20de 180 58 on on IN cord-282927-jhma20de 180 59 Covid-19 covid-19 JJ cord-282927-jhma20de 180 60 epidemic epidemic NN cord-282927-jhma20de 180 61 for for IN cord-282927-jhma20de 180 62 different different JJ cord-282927-jhma20de 180 63 countries country NNS cord-282927-jhma20de 180 64 : : : cord-282927-jhma20de 180 65 Focusing focus VBG cord-282927-jhma20de 180 66 on on IN cord-282927-jhma20de 180 67 South South NNP cord-282927-jhma20de 180 68 Asia Asia NNP cord-282927-jhma20de 180 69 under under IN cord-282927-jhma20de 180 70 various various JJ cord-282927-jhma20de 180 71 precautionary precautionary JJ cord-282927-jhma20de 180 72 427 427 CD cord-282927-jhma20de 180 73 measures measure NNS cord-282927-jhma20de 180 74 . . . cord-282927-jhma20de 181 1 medRxiv medRxiv NNP cord-282927-jhma20de 181 2 Forecasting Forecasting NNP cord-282927-jhma20de 181 3 Covid-19 covid-19 JJ cord-282927-jhma20de 181 4 Covid-19 Covid-19 NNP cord-282927-jhma20de 181 5 transmission transmission NN cord-282927-jhma20de 181 6 dynamics dynamic NNS cord-282927-jhma20de 181 7 during during IN cord-282927-jhma20de 181 8 the the DT cord-282927-jhma20de 181 9 unlock unlock NN cord-282927-jhma20de 181 10 phase phase NN cord-282927-jhma20de 181 11 and and CC cord-282927-jhma20de 181 12 significance significance NN cord-282927-jhma20de 181 13 of of IN cord-282927-jhma20de 181 14 testing testing NN cord-282927-jhma20de 181 15 To to TO cord-282927-jhma20de 181 16 mask mask VB cord-282927-jhma20de 181 17 or or CC cord-282927-jhma20de 181 18 not not RB cord-282927-jhma20de 181 19 to to TO cord-282927-jhma20de 181 20 mask mask VB cord-282927-jhma20de 181 21 : : : cord-282927-jhma20de 181 22 Modeling model VBG cord-282927-jhma20de 181 23 the the DT cord-282927-jhma20de 181 24 potential potential NN cord-282927-jhma20de 181 25 for for IN cord-282927-jhma20de 181 26 face face NN cord-282927-jhma20de 181 27 mask mask NN cord-282927-jhma20de 181 28 use use NN cord-282927-jhma20de 181 29 by by IN cord-282927-jhma20de 181 30 the the DT cord-282927-jhma20de 181 31 general general JJ cord-282927-jhma20de 181 32 public public NN cord-282927-jhma20de 181 33 to to TO cord-282927-jhma20de 181 34 curtail curtail VB cord-282927-jhma20de 181 35 the the DT cord-282927-jhma20de 181 36 COVID-19 COVID-19 NNP cord-282927-jhma20de 181 37 pandemic pandemic NN cord-282927-jhma20de 181 38 Transmission transmission NN cord-282927-jhma20de 181 39 dynamics dynamic NNS cord-282927-jhma20de 181 40 and and CC cord-282927-jhma20de 181 41 control control NN cord-282927-jhma20de 181 42 of of IN cord-282927-jhma20de 181 43 severe severe JJ cord-282927-jhma20de 181 44 acute acute JJ cord-282927-jhma20de 181 45 respiratory respiratory JJ cord-282927-jhma20de 181 46 syndrome syndrome NN cord-282927-jhma20de 182 1 Many many JJ cord-282927-jhma20de 182 2 COVID-19 covid-19 JJ cord-282927-jhma20de 182 3 patients patient NNS cord-282927-jhma20de 182 4 dying die VBG cord-282927-jhma20de 182 5 in in IN cord-282927-jhma20de 182 6 transit transit NN cord-282927-jhma20de 182 7 as as IN cord-282927-jhma20de 182 8 private private JJ cord-282927-jhma20de 182 9 hospitals hospital NNS cord-282927-jhma20de 182 10 deny deny VBP cord-282927-jhma20de 182 11 admission admission NN cord-282927-jhma20de 182 12 in in IN cord-282927-jhma20de 182 13 Telangana Telangana NNP cord-282927-jhma20de 182 14 Serious serious JJ cord-282927-jhma20de 182 15 lapses lapse NNS cord-282927-jhma20de 182 16 in in IN cord-282927-jhma20de 182 17 ambulance ambulance NN cord-282927-jhma20de 182 18 service service NN cord-282927-jhma20de 182 19 , , , cord-282927-jhma20de 182 20 bed bed NN cord-282927-jhma20de 182 21 availability availability NN cord-282927-jhma20de 182 22 in in IN cord-282927-jhma20de 182 23 Pune Pune NNP cord-282927-jhma20de 182 24 hospitals hospital NNS cord-282927-jhma20de 182 25 Mumbai Mumbai NNP cord-282927-jhma20de 182 26 hospitals hospital NNS cord-282927-jhma20de 182 27 run run VBP cord-282927-jhma20de 182 28 out out IN cord-282927-jhma20de 182 29 of of IN cord-282927-jhma20de 182 30 beds bed NNS cord-282927-jhma20de 182 31 for for IN cord-282927-jhma20de 182 32 critical critical JJ cord-282927-jhma20de 182 33 Covid covid JJ cord-282927-jhma20de 182 34 patients patient NNS cord-282927-jhma20de 183 1 Uber Uber NNP cord-282927-jhma20de 183 2 die die JJ cord-282927-jhma20de 184 1 Lage Lage NNP cord-282927-jhma20de 184 2 der der NNP cord-282927-jhma20de 184 3 Integralkurven Integralkurven NNP cord-282927-jhma20de 185 1 gewonlicher gewonlicher NNP cord-282927-jhma20de 185 2 Differantialgleichungen Differantialgleichungen NNP cord-282927-jhma20de 185 3 Permanence Permanence NNP cord-282927-jhma20de 185 4 and and CC cord-282927-jhma20de 185 5 positive positive JJ cord-282927-jhma20de 185 6 periodic periodic JJ cord-282927-jhma20de 185 7 solution solution NN cord-282927-jhma20de 185 8 for for IN cord-282927-jhma20de 185 9 the the DT cord-282927-jhma20de 185 10 single single JJ cord-282927-jhma20de 185 11 - - HYPH cord-282927-jhma20de 185 12 species species NN cord-282927-jhma20de 185 13 nonautonomous nonautonomous JJ cord-282927-jhma20de 185 14 delay delay NN cord-282927-jhma20de 185 15 diffusive diffusive JJ cord-282927-jhma20de 185 16 models model NNS cord-282927-jhma20de 186 1 The the DT cord-282927-jhma20de 186 2 construction construction NN cord-282927-jhma20de 186 3 of of IN cord-282927-jhma20de 186 4 next next JJ cord-282927-jhma20de 186 5 - - HYPH cord-282927-jhma20de 186 6 generation generation NN cord-282927-jhma20de 186 7 matrices matrix NNS cord-282927-jhma20de 186 8 for for IN cord-282927-jhma20de 186 9 compartmental compartmental JJ cord-282927-jhma20de 186 10 epidemic epidemic NN cord-282927-jhma20de 186 11 models model NNS cord-282927-jhma20de 187 1 The the DT cord-282927-jhma20de 187 2 stability stability NN cord-282927-jhma20de 187 3 of of IN cord-282927-jhma20de 187 4 dynamical dynamical JJ cord-282927-jhma20de 187 5 systems system NNS cord-282927-jhma20de 187 6 Dynamical dynamical JJ cord-282927-jhma20de 187 7 models model NNS cord-282927-jhma20de 187 8 of of IN cord-282927-jhma20de 187 9 tuberculosis tuberculosis NN cord-282927-jhma20de 187 10 and and CC cord-282927-jhma20de 187 11 their -PRON- PRP$ cord-282927-jhma20de 187 12 applications application NNS cord-282927-jhma20de 187 13 Ministry Ministry NNP cord-282927-jhma20de 187 14 of of IN cord-282927-jhma20de 187 15 Home Home NNP cord-282927-jhma20de 187 16 Affairs Affairs NNPS cord-282927-jhma20de 187 17 , , , cord-282927-jhma20de 187 18 Government Government NNP cord-282927-jhma20de 187 19 of of IN cord-282927-jhma20de 187 20 India India NNP cord-282927-jhma20de 187 21 . . . cord-282927-jhma20de 188 1 Press Press NNP cord-282927-jhma20de 188 2 Release Release NNP cord-282927-jhma20de 188 3 Ministry Ministry NNP cord-282927-jhma20de 188 4 of of IN cord-282927-jhma20de 188 5 Home Home NNP cord-282927-jhma20de 188 6 Affairs Affairs NNPS cord-282927-jhma20de 188 7 , , , cord-282927-jhma20de 188 8 Government Government NNP cord-282927-jhma20de 188 9 of of IN cord-282927-jhma20de 188 10 India India NNP cord-282927-jhma20de 188 11 . . . cord-282927-jhma20de 189 1 Press Press NNP cord-282927-jhma20de 189 2 Release Release NNP cord-282927-jhma20de 190 1 The the DT cord-282927-jhma20de 190 2 Indian Indian NNP cord-282927-jhma20de 190 3 Express Express NNP cord-282927-jhma20de 190 4 , , , cord-282927-jhma20de 190 5 Biweekly Biweekly NNP cord-282927-jhma20de 190 6 lockdown lockdown NN cord-282927-jhma20de 190 7 in in IN cord-282927-jhma20de 190 8 West West NNP cord-282927-jhma20de 190 9 Bengal Bengal NNP cord-282927-jhma20de 190 10 extended extend VBD cord-282927-jhma20de 190 11 till till IN cord-282927-jhma20de 190 12 Parameter Parameter NNP cord-282927-jhma20de 190 13 Estimation Estimation NNP cord-282927-jhma20de 190 14 and and CC cord-282927-jhma20de 190 15 Nonlinear Nonlinear NNP cord-282927-jhma20de 190 16 Least Least JJS cord-282927-jhma20de 190 17 - - HYPH cord-282927-jhma20de 190 18 Squares Squares NNPS cord-282927-jhma20de 190 19 Methods Methods NNPS cord-282927-jhma20de 190 20 Optimization Optimization NNP cord-282927-jhma20de 190 21 techniques technique NNS cord-282927-jhma20de 190 22 via via IN cord-282927-jhma20de 190 23 the the DT cord-282927-jhma20de 190 24 optimization optimization NN cord-282927-jhma20de 190 25 toolbox toolbox NN cord-282927-jhma20de 190 26 Least least RBS cord-282927-jhma20de 190 27 - - HYPH cord-282927-jhma20de 190 28 Squares square NNS cord-282927-jhma20de 190 29 Fitting Fitting NNP cord-282927-jhma20de 190 30 Cost cost NN cord-282927-jhma20de 190 31 Effective effective JJ cord-282927-jhma20de 190 32 Process Process NNP cord-282927-jhma20de 190 33 Technology Technology NNP cord-282927-jhma20de 190 34 of of IN cord-282927-jhma20de 190 35 Favipi-464 Favipi-464 NNP cord-282927-jhma20de 190 36 ravir ravir NNS cord-282927-jhma20de 190 37 Developed develop VBN cord-282927-jhma20de 190 38 by by IN cord-282927-jhma20de 190 39 CSIR CSIR NNP cord-282927-jhma20de 190 40 Used use VBN cord-282927-jhma20de 190 41 by by IN cord-282927-jhma20de 190 42 M M NNP cord-282927-jhma20de 190 43 / / SYM cord-282927-jhma20de 190 44 s s NNP cord-282927-jhma20de 191 1 Cipla Cipla NNP cord-282927-jhma20de 191 2 Ltd Ltd NNP cord-282927-jhma20de 191 3 Coronavirus Coronavirus NNP cord-282927-jhma20de 191 4 Drug Drug NNP cord-282927-jhma20de 191 5 : : : cord-282927-jhma20de 191 6 Delhi Delhi NNP cord-282927-jhma20de 191 7 , , , cord-282927-jhma20de 191 8 Maharashtra Maharashtra NNP cord-282927-jhma20de 191 9 to to TO cord-282927-jhma20de 191 10 Get get VB cord-282927-jhma20de 191 11 First First NNP cord-282927-jhma20de 191 12 Batch Batch NNP cord-282927-jhma20de 191 13 of of IN cord-282927-jhma20de 191 14 Remdesivir Remdesivir NNP cord-282927-jhma20de 191 15 For for IN cord-282927-jhma20de 191 16 Rs r NNS cord-282927-jhma20de 191 17 500 500 CD cord-282927-jhma20de 191 18 fine fine NN cord-282927-jhma20de 191 19 for for IN cord-282927-jhma20de 191 20 flouting flout VBG cord-282927-jhma20de 191 21 quarantine quarantine NN cord-282927-jhma20de 191 22 norms norm NNS cord-282927-jhma20de 191 23 , , , cord-282927-jhma20de 191 24 not not RB cord-282927-jhma20de 191 25 wearing wear VBG cord-282927-jhma20de 191 26 mask mask NN cord-282927-jhma20de 191 27 and and CC cord-282927-jhma20de 191 28 consumption consumption NN cord-282927-jhma20de 191 29 of of IN cord-282927-jhma20de 191 30 tobacco tobacco NN cord-282927-jhma20de 191 31 in in IN cord-282927-jhma20de 191 32 public public JJ cord-282927-jhma20de 191 33 Coronavirus Coronavirus NNP cord-282927-jhma20de 191 34 in in IN cord-282927-jhma20de 191 35 Mumbai Mumbai NNP cord-282927-jhma20de 192 1 : : : cord-282927-jhma20de 192 2 BMC BMC NNP cord-282927-jhma20de 192 3 imposes impose VBZ cord-282927-jhma20de 192 4 Rs r NNS cord-282927-jhma20de 192 5 1,000 1,000 CD cord-282927-jhma20de 192 6 fine fine NN cord-282927-jhma20de 192 7 for for IN cord-282927-jhma20de 192 8 not not RB cord-282927-jhma20de 192 9 wearing wear VBG cord-282927-jhma20de 192 10 masks mask NNS cord-282927-jhma20de 192 11 Times Times NNP cord-282927-jhma20de 192 12 of of IN cord-282927-jhma20de 192 13 India India NNP cord-282927-jhma20de 192 14 , , , cord-282927-jhma20de 192 15 PMC PMC NNP cord-282927-jhma20de 192 16 fines fine NNS cord-282927-jhma20de 192 17 300 300 CD cord-282927-jhma20de 192 18 citizens citizen NNS cord-282927-jhma20de 192 19 for for IN cord-282927-jhma20de 192 20 not not RB cord-282927-jhma20de 192 21 wearing wear VBG cord-282927-jhma20de 192 22 masks mask NNS