id sid tid token lemma pos cord-212912-t5v11gs0 1 1 key key JJ cord-212912-t5v11gs0 1 2 : : : cord-212912-t5v11gs0 1 3 cord-212912-t5v11gs0 cord-212912-t5v11gs0 NNP cord-212912-t5v11gs0 1 4 authors author NNS cord-212912-t5v11gs0 1 5 : : : cord-212912-t5v11gs0 1 6 Barwolff Barwolff NNP cord-212912-t5v11gs0 1 7 , , , cord-212912-t5v11gs0 1 8 Gunter Gunter NNP cord-212912-t5v11gs0 1 9 title title NN cord-212912-t5v11gs0 1 10 : : : cord-212912-t5v11gs0 1 11 Prospects prospect NNS cord-212912-t5v11gs0 1 12 and and CC cord-212912-t5v11gs0 1 13 limits limit NNS cord-212912-t5v11gs0 1 14 of of IN cord-212912-t5v11gs0 1 15 SIR SIR NNP cord-212912-t5v11gs0 1 16 - - HYPH cord-212912-t5v11gs0 1 17 type type NN cord-212912-t5v11gs0 1 18 Mathematical Mathematical NNP cord-212912-t5v11gs0 1 19 Models model NNS cord-212912-t5v11gs0 1 20 to to TO cord-212912-t5v11gs0 1 21 Capture capture VB cord-212912-t5v11gs0 1 22 the the DT cord-212912-t5v11gs0 1 23 COVID-19 COVID-19 NNP cord-212912-t5v11gs0 1 24 Pandemic Pandemic NNP cord-212912-t5v11gs0 1 25 date date NN cord-212912-t5v11gs0 1 26 : : : cord-212912-t5v11gs0 1 27 2020 2020 CD cord-212912-t5v11gs0 1 28 - - HYPH cord-212912-t5v11gs0 1 29 04 04 CD cord-212912-t5v11gs0 1 30 - - SYM cord-212912-t5v11gs0 1 31 13 13 CD cord-212912-t5v11gs0 1 32 journal journal NN cord-212912-t5v11gs0 1 33 : : : cord-212912-t5v11gs0 1 34 nan nan NNP cord-212912-t5v11gs0 1 35 DOI DOI NNP cord-212912-t5v11gs0 1 36 : : : cord-212912-t5v11gs0 1 37 nan nan NNP cord-212912-t5v11gs0 1 38 sha sha NNP cord-212912-t5v11gs0 1 39 : : : cord-212912-t5v11gs0 1 40 b2cff560eaf30e0d2aa352e2d48696d500c6585f b2cff560eaf30e0d2aa352e2d48696d500c6585f NNP cord-212912-t5v11gs0 1 41 doc_id doc_id NNP cord-212912-t5v11gs0 1 42 : : : cord-212912-t5v11gs0 1 43 212912 212912 CD cord-212912-t5v11gs0 1 44 cord_uid cord_uid NNS cord-212912-t5v11gs0 1 45 : : : cord-212912-t5v11gs0 1 46 t5v11gs0 t5v11gs0 . cord-212912-t5v11gs0 1 47 For for IN cord-212912-t5v11gs0 1 48 the the DT cord-212912-t5v11gs0 1 49 description description NN cord-212912-t5v11gs0 1 50 of of IN cord-212912-t5v11gs0 1 51 a a DT cord-212912-t5v11gs0 1 52 pandemic pandemic JJ cord-212912-t5v11gs0 1 53 mathematical mathematical JJ cord-212912-t5v11gs0 1 54 models model NNS cord-212912-t5v11gs0 1 55 could could MD cord-212912-t5v11gs0 1 56 be be VB cord-212912-t5v11gs0 1 57 interesting interesting JJ cord-212912-t5v11gs0 1 58 . . . cord-212912-t5v11gs0 2 1 Both both DT cord-212912-t5v11gs0 2 2 for for IN cord-212912-t5v11gs0 2 3 physicians physician NNS cord-212912-t5v11gs0 2 4 and and CC cord-212912-t5v11gs0 2 5 politicians politician NNS cord-212912-t5v11gs0 2 6 as as IN cord-212912-t5v11gs0 2 7 a a DT cord-212912-t5v11gs0 2 8 base base NN cord-212912-t5v11gs0 2 9 for for IN cord-212912-t5v11gs0 2 10 decisions decision NNS cord-212912-t5v11gs0 2 11 to to TO cord-212912-t5v11gs0 2 12 treat treat VB cord-212912-t5v11gs0 2 13 the the DT cord-212912-t5v11gs0 2 14 disease disease NN cord-212912-t5v11gs0 2 15 . . . cord-212912-t5v11gs0 3 1 The the DT cord-212912-t5v11gs0 3 2 responsible responsible JJ cord-212912-t5v11gs0 3 3 estimation estimation NN cord-212912-t5v11gs0 3 4 of of IN cord-212912-t5v11gs0 3 5 parameters parameter NNS cord-212912-t5v11gs0 3 6 is be VBZ cord-212912-t5v11gs0 3 7 a a DT cord-212912-t5v11gs0 3 8 main main JJ cord-212912-t5v11gs0 3 9 issue issue NN cord-212912-t5v11gs0 3 10 of of IN cord-212912-t5v11gs0 3 11 mathematical mathematical JJ cord-212912-t5v11gs0 3 12 pandemic pandemic NN cord-212912-t5v11gs0 3 13 models model NNS cord-212912-t5v11gs0 3 14 . . . cord-212912-t5v11gs0 4 1 Especially especially RB cord-212912-t5v11gs0 4 2 a a DT cord-212912-t5v11gs0 4 3 good good JJ cord-212912-t5v11gs0 4 4 choice choice NN cord-212912-t5v11gs0 4 5 of of IN cord-212912-t5v11gs0 4 6 $ $ $ cord-212912-t5v11gs0 4 7 beta$ beta$ NN cord-212912-t5v11gs0 4 8 as as IN cord-212912-t5v11gs0 4 9 the the DT cord-212912-t5v11gs0 4 10 number number NN cord-212912-t5v11gs0 4 11 of of IN cord-212912-t5v11gs0 4 12 others other NNS cord-212912-t5v11gs0 4 13 that that WDT cord-212912-t5v11gs0 4 14 one one CD cord-212912-t5v11gs0 4 15 infected infected JJ cord-212912-t5v11gs0 4 16 person person NN cord-212912-t5v11gs0 4 17 encounters encounter VBZ cord-212912-t5v11gs0 4 18 per per IN cord-212912-t5v11gs0 4 19 unit unit NN cord-212912-t5v11gs0 4 20 time time NN cord-212912-t5v11gs0 4 21 ( ( -LRB- cord-212912-t5v11gs0 4 22 per per IN cord-212912-t5v11gs0 4 23 day day NN cord-212912-t5v11gs0 4 24 ) ) -RRB- cord-212912-t5v11gs0 4 25 influences influence VBZ cord-212912-t5v11gs0 4 26 the the DT cord-212912-t5v11gs0 4 27 adequateness adequateness NN cord-212912-t5v11gs0 4 28 of of IN cord-212912-t5v11gs0 4 29 the the DT cord-212912-t5v11gs0 4 30 results result NNS cord-212912-t5v11gs0 4 31 of of IN cord-212912-t5v11gs0 4 32 the the DT cord-212912-t5v11gs0 4 33 model model NN cord-212912-t5v11gs0 4 34 . . . cord-212912-t5v11gs0 5 1 For for IN cord-212912-t5v11gs0 5 2 the the DT cord-212912-t5v11gs0 5 3 actual actual JJ cord-212912-t5v11gs0 5 4 COVID-19 covid-19 CD cord-212912-t5v11gs0 5 5 pandemic pandemic NN cord-212912-t5v11gs0 5 6 some some DT cord-212912-t5v11gs0 5 7 aspects aspect NNS cord-212912-t5v11gs0 5 8 of of IN cord-212912-t5v11gs0 5 9 the the DT cord-212912-t5v11gs0 5 10 parameter parameter NN cord-212912-t5v11gs0 5 11 choice choice NN cord-212912-t5v11gs0 5 12 will will MD cord-212912-t5v11gs0 5 13 be be VB cord-212912-t5v11gs0 5 14 discussed discuss VBN cord-212912-t5v11gs0 5 15 . . . cord-212912-t5v11gs0 6 1 Because because IN cord-212912-t5v11gs0 6 2 of of IN cord-212912-t5v11gs0 6 3 the the DT cord-212912-t5v11gs0 6 4 incompatibility incompatibility NN cord-212912-t5v11gs0 6 5 of of IN cord-212912-t5v11gs0 6 6 the the DT cord-212912-t5v11gs0 6 7 data datum NNS cord-212912-t5v11gs0 6 8 of of IN cord-212912-t5v11gs0 6 9 the the DT cord-212912-t5v11gs0 6 10 Johns Johns NNP cord-212912-t5v11gs0 6 11 - - HYPH cord-212912-t5v11gs0 6 12 Hopkins Hopkins NNP cord-212912-t5v11gs0 6 13 - - HYPH cord-212912-t5v11gs0 6 14 University University NNP cord-212912-t5v11gs0 6 15 to to IN cord-212912-t5v11gs0 6 16 the the DT cord-212912-t5v11gs0 6 17 data datum NNS cord-212912-t5v11gs0 6 18 of of IN cord-212912-t5v11gs0 6 19 the the DT cord-212912-t5v11gs0 6 20 German german JJ cord-212912-t5v11gs0 6 21 Robert Robert NNP cord-212912-t5v11gs0 6 22 - - HYPH cord-212912-t5v11gs0 6 23 Koch Koch NNP cord-212912-t5v11gs0 6 24 - - HYPH cord-212912-t5v11gs0 6 25 Institut Institut NNP cord-212912-t5v11gs0 6 26 we -PRON- PRP cord-212912-t5v11gs0 6 27 use use VBP cord-212912-t5v11gs0 6 28 the the DT cord-212912-t5v11gs0 6 29 COVID-19 COVID-19 NNP cord-212912-t5v11gs0 6 30 data datum NNS cord-212912-t5v11gs0 6 31 of of IN cord-212912-t5v11gs0 6 32 the the DT cord-212912-t5v11gs0 6 33 European European NNP cord-212912-t5v11gs0 6 34 Centre Centre NNP cord-212912-t5v11gs0 6 35 for for IN cord-212912-t5v11gs0 6 36 Disease Disease NNP cord-212912-t5v11gs0 6 37 Prevention Prevention NNP cord-212912-t5v11gs0 6 38 and and CC cord-212912-t5v11gs0 6 39 Control Control NNP cord-212912-t5v11gs0 6 40 ( ( -LRB- cord-212912-t5v11gs0 6 41 ECDC ECDC NNP cord-212912-t5v11gs0 6 42 ) ) -RRB- cord-212912-t5v11gs0 6 43 as as IN cord-212912-t5v11gs0 6 44 a a DT cord-212912-t5v11gs0 6 45 base base NN cord-212912-t5v11gs0 6 46 for for IN cord-212912-t5v11gs0 6 47 the the DT cord-212912-t5v11gs0 6 48 parameter parameter NN cord-212912-t5v11gs0 6 49 estimation estimation NN cord-212912-t5v11gs0 6 50 . . . cord-212912-t5v11gs0 7 1 Two two CD cord-212912-t5v11gs0 7 2 different different JJ cord-212912-t5v11gs0 7 3 mathematical mathematical JJ cord-212912-t5v11gs0 7 4 methods method NNS cord-212912-t5v11gs0 7 5 for for IN cord-212912-t5v11gs0 7 6 the the DT cord-212912-t5v11gs0 7 7 data data NN cord-212912-t5v11gs0 7 8 analysis analysis NN cord-212912-t5v11gs0 7 9 will will MD cord-212912-t5v11gs0 7 10 be be VB cord-212912-t5v11gs0 7 11 discussed discuss VBN cord-212912-t5v11gs0 7 12 in in IN cord-212912-t5v11gs0 7 13 this this DT cord-212912-t5v11gs0 7 14 paper paper NN cord-212912-t5v11gs0 7 15 and and CC cord-212912-t5v11gs0 7 16 possible possible JJ cord-212912-t5v11gs0 7 17 sources source NNS cord-212912-t5v11gs0 7 18 of of IN cord-212912-t5v11gs0 7 19 trouble trouble NN cord-212912-t5v11gs0 7 20 will will MD cord-212912-t5v11gs0 7 21 be be VB cord-212912-t5v11gs0 7 22 shown show VBN cord-212912-t5v11gs0 7 23 . . . cord-212912-t5v11gs0 8 1 As as IN cord-212912-t5v11gs0 8 2 example example NN cord-212912-t5v11gs0 8 3 of of IN cord-212912-t5v11gs0 8 4 the the DT cord-212912-t5v11gs0 8 5 parameter parameter NN cord-212912-t5v11gs0 8 6 choice choice NN cord-212912-t5v11gs0 8 7 serve serve VBP cord-212912-t5v11gs0 8 8 the the DT cord-212912-t5v11gs0 8 9 data datum NNS cord-212912-t5v11gs0 8 10 of of IN cord-212912-t5v11gs0 8 11 the the DT cord-212912-t5v11gs0 8 12 USA USA NNP cord-212912-t5v11gs0 8 13 and and CC cord-212912-t5v11gs0 8 14 the the DT cord-212912-t5v11gs0 8 15 UK UK NNP cord-212912-t5v11gs0 8 16 . . . cord-212912-t5v11gs0 9 1 The the DT cord-212912-t5v11gs0 9 2 resulting result VBG cord-212912-t5v11gs0 9 3 parameters parameter NNS cord-212912-t5v11gs0 9 4 will will MD cord-212912-t5v11gs0 9 5 be be VB cord-212912-t5v11gs0 9 6 used use VBN cord-212912-t5v11gs0 9 7 estimated estimate VBN cord-212912-t5v11gs0 9 8 and and CC cord-212912-t5v11gs0 9 9 used use VBN cord-212912-t5v11gs0 9 10 in in IN cord-212912-t5v11gs0 9 11 W.,O. w.,o. JJ cord-212912-t5v11gs0 9 12 Kermack Kermack NNP cord-212912-t5v11gs0 9 13 and and CC cord-212912-t5v11gs0 9 14 A.,G. A.,G. NNP cord-212912-t5v11gs0 9 15 McKendrick McKendrick NNP cord-212912-t5v11gs0 9 16 's 's POS cord-212912-t5v11gs0 9 17 SIR SIR NNP cord-212912-t5v11gs0 9 18 model model NN cord-212912-t5v11gs0 9 19 . . . cord-212912-t5v11gs0 10 1 Strategies strategy NNS cord-212912-t5v11gs0 10 2 for for IN cord-212912-t5v11gs0 10 3 the the DT cord-212912-t5v11gs0 10 4 commencing commencing NN cord-212912-t5v11gs0 10 5 and and CC cord-212912-t5v11gs0 10 6 ending ending NN cord-212912-t5v11gs0 10 7 of of IN cord-212912-t5v11gs0 10 8 social social JJ cord-212912-t5v11gs0 10 9 and and CC cord-212912-t5v11gs0 10 10 economic economic JJ cord-212912-t5v11gs0 10 11 shutdown shutdown NN cord-212912-t5v11gs0 10 12 measures measure NNS cord-212912-t5v11gs0 10 13 are be VBP cord-212912-t5v11gs0 10 14 discussed discuss VBN cord-212912-t5v11gs0 10 15 . . . cord-212912-t5v11gs0 11 1 The the DT cord-212912-t5v11gs0 11 2 numerical numerical JJ cord-212912-t5v11gs0 11 3 solution solution NN cord-212912-t5v11gs0 11 4 of of IN cord-212912-t5v11gs0 11 5 the the DT cord-212912-t5v11gs0 11 6 ordinary ordinary JJ cord-212912-t5v11gs0 11 7 differential differential JJ cord-212912-t5v11gs0 11 8 equation equation NN cord-212912-t5v11gs0 11 9 system system NN cord-212912-t5v11gs0 11 10 of of IN cord-212912-t5v11gs0 11 11 the the DT cord-212912-t5v11gs0 11 12 modified modify VBN cord-212912-t5v11gs0 11 13 SIR SIR NNP cord-212912-t5v11gs0 11 14 model model NN cord-212912-t5v11gs0 11 15 is be VBZ cord-212912-t5v11gs0 11 16 being be VBG cord-212912-t5v11gs0 11 17 done do VBN cord-212912-t5v11gs0 11 18 with with IN cord-212912-t5v11gs0 11 19 a a DT cord-212912-t5v11gs0 11 20 Runge Runge NNP cord-212912-t5v11gs0 11 21 - - HYPH cord-212912-t5v11gs0 11 22 Kutta Kutta NNP cord-212912-t5v11gs0 11 23 integration integration NN cord-212912-t5v11gs0 11 24 method method NN cord-212912-t5v11gs0 11 25 of of IN cord-212912-t5v11gs0 11 26 fourth fourth JJ cord-212912-t5v11gs0 11 27 order order NN cord-212912-t5v11gs0 11 28 . . . cord-212912-t5v11gs0 12 1 At at IN cord-212912-t5v11gs0 12 2 the the DT cord-212912-t5v11gs0 12 3 end end NN cord-212912-t5v11gs0 12 4 the the DT cord-212912-t5v11gs0 12 5 applicability applicability NN cord-212912-t5v11gs0 12 6 of of IN cord-212912-t5v11gs0 12 7 the the DT cord-212912-t5v11gs0 12 8 SIR SIR NNP cord-212912-t5v11gs0 12 9 model model NN cord-212912-t5v11gs0 12 10 could could MD cord-212912-t5v11gs0 12 11 be be VB cord-212912-t5v11gs0 12 12 shown show VBN cord-212912-t5v11gs0 12 13 essentially essentially RB cord-212912-t5v11gs0 12 14 . . . cord-212912-t5v11gs0 13 1 Suggestions suggestion NNS cord-212912-t5v11gs0 13 2 about about IN cord-212912-t5v11gs0 13 3 appropriate appropriate JJ cord-212912-t5v11gs0 13 4 points point NNS cord-212912-t5v11gs0 13 5 in in IN cord-212912-t5v11gs0 13 6 time time NN cord-212912-t5v11gs0 13 7 at at IN cord-212912-t5v11gs0 13 8 which which WDT cord-212912-t5v11gs0 13 9 to to TO cord-212912-t5v11gs0 13 10 commence commence VB cord-212912-t5v11gs0 13 11 with with IN cord-212912-t5v11gs0 13 12 lockdown lockdown NN cord-212912-t5v11gs0 13 13 measures measure NNS cord-212912-t5v11gs0 13 14 based base VBN cord-212912-t5v11gs0 13 15 on on IN cord-212912-t5v11gs0 13 16 the the DT cord-212912-t5v11gs0 13 17 acceleration acceleration NN cord-212912-t5v11gs0 13 18 rate rate NN cord-212912-t5v11gs0 13 19 of of IN cord-212912-t5v11gs0 13 20 infections infection NNS cord-212912-t5v11gs0 13 21 conclude conclude VBP cord-212912-t5v11gs0 13 22 the the DT cord-212912-t5v11gs0 13 23 paper paper NN cord-212912-t5v11gs0 13 24 . . . cord-212912-t5v11gs0 14 1 Let let VB cord-212912-t5v11gs0 14 2 us -PRON- PRP cord-212912-t5v11gs0 14 3 recollect recollect VB cord-212912-t5v11gs0 14 4 something something NN cord-212912-t5v11gs0 14 5 about about IN cord-212912-t5v11gs0 14 6 the the DT cord-212912-t5v11gs0 14 7 the the DT cord-212912-t5v11gs0 14 8 model model NN cord-212912-t5v11gs0 14 9 . . . cord-212912-t5v11gs0 15 1 I -PRON- PRP cord-212912-t5v11gs0 15 2 denotes denote VBZ cord-212912-t5v11gs0 15 3 the the DT cord-212912-t5v11gs0 15 4 infected infected JJ cord-212912-t5v11gs0 15 5 people people NNS cord-212912-t5v11gs0 15 6 , , , cord-212912-t5v11gs0 15 7 S S NNP cord-212912-t5v11gs0 15 8 stands stand VBZ cord-212912-t5v11gs0 15 9 for for IN cord-212912-t5v11gs0 15 10 the the DT cord-212912-t5v11gs0 15 11 susceptible susceptible JJ cord-212912-t5v11gs0 15 12 and and CC cord-212912-t5v11gs0 15 13 R r NN cord-212912-t5v11gs0 15 14 denotes denote VBZ cord-212912-t5v11gs0 15 15 the the DT cord-212912-t5v11gs0 15 16 recovered recovered JJ cord-212912-t5v11gs0 15 17 people people NNS cord-212912-t5v11gs0 15 18 . . . cord-212912-t5v11gs0 16 1 The the DT cord-212912-t5v11gs0 16 2 dynamics dynamic NNS cord-212912-t5v11gs0 16 3 of of IN cord-212912-t5v11gs0 16 4 infections infection NNS cord-212912-t5v11gs0 16 5 and and CC cord-212912-t5v11gs0 16 6 recoveries recovery NNS cord-212912-t5v11gs0 16 7 can can MD cord-212912-t5v11gs0 16 8 be be VB cord-212912-t5v11gs0 16 9 approximated approximate VBN cord-212912-t5v11gs0 16 10 by by IN cord-212912-t5v11gs0 16 11 the the DT cord-212912-t5v11gs0 16 12 ODE ode NN cord-212912-t5v11gs0 16 13 system system NN cord-212912-t5v11gs0 16 14 We -PRON- PRP cord-212912-t5v11gs0 16 15 understand understand VBP cord-212912-t5v11gs0 16 16 β β NN cord-212912-t5v11gs0 16 17 as as IN cord-212912-t5v11gs0 16 18 the the DT cord-212912-t5v11gs0 16 19 number number NN cord-212912-t5v11gs0 16 20 of of IN cord-212912-t5v11gs0 16 21 others other NNS cord-212912-t5v11gs0 16 22 that that WDT cord-212912-t5v11gs0 16 23 one one CD cord-212912-t5v11gs0 16 24 infected infected JJ cord-212912-t5v11gs0 16 25 person person NN cord-212912-t5v11gs0 16 26 encounters encounter VBZ cord-212912-t5v11gs0 16 27 per per IN cord-212912-t5v11gs0 16 28 unit unit NN cord-212912-t5v11gs0 16 29 time time NN cord-212912-t5v11gs0 16 30 ( ( -LRB- cord-212912-t5v11gs0 16 31 per per IN cord-212912-t5v11gs0 16 32 day day NN cord-212912-t5v11gs0 16 33 ) ) -RRB- cord-212912-t5v11gs0 16 34 . . . cord-212912-t5v11gs0 17 1 γ γ NNP cord-212912-t5v11gs0 17 2 is be VBZ cord-212912-t5v11gs0 17 3 the the DT cord-212912-t5v11gs0 17 4 reciprocal reciprocal JJ cord-212912-t5v11gs0 17 5 value value NN cord-212912-t5v11gs0 17 6 of of IN cord-212912-t5v11gs0 17 7 the the DT cord-212912-t5v11gs0 17 8 typical typical JJ cord-212912-t5v11gs0 17 9 time time NN cord-212912-t5v11gs0 17 10 from from IN cord-212912-t5v11gs0 17 11 infection infection NN cord-212912-t5v11gs0 17 12 to to IN cord-212912-t5v11gs0 17 13 recovery recovery NN cord-212912-t5v11gs0 17 14 . . . cord-212912-t5v11gs0 18 1 N N NNP cord-212912-t5v11gs0 18 2 is be VBZ cord-212912-t5v11gs0 18 3 the the DT cord-212912-t5v11gs0 18 4 total total JJ cord-212912-t5v11gs0 18 5 number number NN cord-212912-t5v11gs0 18 6 of of IN cord-212912-t5v11gs0 18 7 people people NNS cord-212912-t5v11gs0 18 8 involved involve VBN cord-212912-t5v11gs0 18 9 in in IN cord-212912-t5v11gs0 18 10 the the DT cord-212912-t5v11gs0 18 11 epidemic epidemic NN cord-212912-t5v11gs0 18 12 disease disease NN cord-212912-t5v11gs0 18 13 and and CC cord-212912-t5v11gs0 18 14 there there EX cord-212912-t5v11gs0 18 15 is be VBZ cord-212912-t5v11gs0 18 16 N n NN cord-212912-t5v11gs0 18 17 = = SYM cord-212912-t5v11gs0 18 18 S s NN cord-212912-t5v11gs0 19 1 + + CC cord-212912-t5v11gs0 20 1 I -PRON- PRP cord-212912-t5v11gs0 20 2 + + CC cord-212912-t5v11gs0 20 3 R. R. NNP cord-212912-t5v11gs0 21 1 The the DT cord-212912-t5v11gs0 21 2 evenly evenly JJ cord-212912-t5v11gs0 21 3 distribution distribution NN cord-212912-t5v11gs0 21 4 of of IN cord-212912-t5v11gs0 21 5 members member NNS cord-212912-t5v11gs0 21 6 of of IN cord-212912-t5v11gs0 21 7 the the DT cord-212912-t5v11gs0 21 8 species specie NNS cord-212912-t5v11gs0 21 9 S S NNP cord-212912-t5v11gs0 21 10 , , , cord-212912-t5v11gs0 21 11 I -PRON- PRP cord-212912-t5v11gs0 21 12 and and CC cord-212912-t5v11gs0 21 13 R r NN cord-212912-t5v11gs0 21 14 is be VBZ cord-212912-t5v11gs0 21 15 an an DT cord-212912-t5v11gs0 21 16 important important JJ cord-212912-t5v11gs0 21 17 assumption assumption NN cord-212912-t5v11gs0 21 18 for for IN cord-212912-t5v11gs0 21 19 the the DT cord-212912-t5v11gs0 21 20 SIR SIR NNP cord-212912-t5v11gs0 21 21 model model NN cord-212912-t5v11gs0 21 22 1 1 CD cord-212912-t5v11gs0 21 23 . . . cord-212912-t5v11gs0 22 1 The the DT cord-212912-t5v11gs0 22 2 empirical empirical JJ cord-212912-t5v11gs0 22 3 data datum NNS cord-212912-t5v11gs0 22 4 currently currently RB cord-212912-t5v11gs0 22 5 available available JJ cord-212912-t5v11gs0 22 6 suggests suggest VBZ cord-212912-t5v11gs0 22 7 that that IN cord-212912-t5v11gs0 22 8 the the DT cord-212912-t5v11gs0 22 9 corona corona NN cord-212912-t5v11gs0 22 10 infection infection NN cord-212912-t5v11gs0 22 11 typically typically RB cord-212912-t5v11gs0 22 12 lasts last VBZ cord-212912-t5v11gs0 22 13 for for IN cord-212912-t5v11gs0 22 14 some some DT cord-212912-t5v11gs0 22 15 14 14 CD cord-212912-t5v11gs0 22 16 days day NNS cord-212912-t5v11gs0 22 17 . . . cord-212912-t5v11gs0 23 1 This this DT cord-212912-t5v11gs0 23 2 means mean VBZ cord-212912-t5v11gs0 23 3 γ γ NN cord-212912-t5v11gs0 23 4 = = SYM cord-212912-t5v11gs0 23 5 1/14 1/14 CD cord-212912-t5v11gs0 23 6 ≈ ≈ NNPS cord-212912-t5v11gs0 23 7 0,07 0,07 CD cord-212912-t5v11gs0 23 8 . . . cord-212912-t5v11gs0 24 1 The the DT cord-212912-t5v11gs0 24 2 choice choice NN cord-212912-t5v11gs0 24 3 of of IN cord-212912-t5v11gs0 24 4 β β NN cord-212912-t5v11gs0 24 5 is be VBZ cord-212912-t5v11gs0 24 6 more more RBR cord-212912-t5v11gs0 24 7 complicated complicated JJ cord-212912-t5v11gs0 24 8 and and CC cord-212912-t5v11gs0 24 9 will will MD cord-212912-t5v11gs0 24 10 be be VB cord-212912-t5v11gs0 24 11 considered consider VBN cord-212912-t5v11gs0 24 12 in in IN cord-212912-t5v11gs0 24 13 the the DT cord-212912-t5v11gs0 24 14 next next JJ cord-212912-t5v11gs0 24 15 section section NN cord-212912-t5v11gs0 24 16 . . . cord-212912-t5v11gs0 25 1 It -PRON- PRP cord-212912-t5v11gs0 25 2 should should MD cord-212912-t5v11gs0 25 3 be be VB cord-212912-t5v11gs0 25 4 noted note VBN cord-212912-t5v11gs0 25 5 , , , cord-212912-t5v11gs0 25 6 that that IN cord-212912-t5v11gs0 25 7 there there EX cord-212912-t5v11gs0 25 8 are be VBP cord-212912-t5v11gs0 25 9 a a DT cord-212912-t5v11gs0 25 10 lot lot NN cord-212912-t5v11gs0 25 11 of of IN cord-212912-t5v11gs0 25 12 modifications modification NNS cord-212912-t5v11gs0 25 13 of of IN cord-212912-t5v11gs0 25 14 the the DT cord-212912-t5v11gs0 25 15 SIR SIR NNP cord-212912-t5v11gs0 25 16 model model NN cord-212912-t5v11gs0 25 17 adding add VBG cord-212912-t5v11gs0 25 18 other other JJ cord-212912-t5v11gs0 25 19 values value NNS cord-212912-t5v11gs0 25 20 then then RB cord-212912-t5v11gs0 25 21 I -PRON- PRP cord-212912-t5v11gs0 25 22 , , , cord-212912-t5v11gs0 25 23 S S NNP cord-212912-t5v11gs0 25 24 or or CC cord-212912-t5v11gs0 25 25 R r NN cord-212912-t5v11gs0 25 26 , , , cord-212912-t5v11gs0 25 27 but but CC cord-212912-t5v11gs0 25 28 the the DT cord-212912-t5v11gs0 25 29 main main JJ cord-212912-t5v11gs0 25 30 behavior behavior NN cord-212912-t5v11gs0 25 31 of of IN cord-212912-t5v11gs0 25 32 the the DT cord-212912-t5v11gs0 25 33 model model NN cord-212912-t5v11gs0 25 34 will will MD cord-212912-t5v11gs0 25 35 be be VB cord-212912-t5v11gs0 25 36 the the DT cord-212912-t5v11gs0 25 37 same same JJ cord-212912-t5v11gs0 25 38 . . . cord-212912-t5v11gs0 26 1 We -PRON- PRP cord-212912-t5v11gs0 26 2 use use VBP cord-212912-t5v11gs0 26 3 the the DT cord-212912-t5v11gs0 26 4 European European NNP cord-212912-t5v11gs0 26 5 Centre Centre NNP cord-212912-t5v11gs0 26 6 for for IN cord-212912-t5v11gs0 26 7 Disease Disease NNP cord-212912-t5v11gs0 26 8 Prevention Prevention NNP cord-212912-t5v11gs0 26 9 and and CC cord-212912-t5v11gs0 26 10 Control Control NNP cord-212912-t5v11gs0 26 11 [ [ -LRB- cord-212912-t5v11gs0 26 12 2 2 CD cord-212912-t5v11gs0 26 13 ] ] -RRB- cord-212912-t5v11gs0 26 14 as as IN cord-212912-t5v11gs0 26 15 a a DT cord-212912-t5v11gs0 26 16 data data NN cord-212912-t5v11gs0 26 17 for for IN cord-212912-t5v11gs0 26 18 the the DT cord-212912-t5v11gs0 26 19 COVID-19 COVID-19 NNP cord-212912-t5v11gs0 26 20 infected infected JJ cord-212912-t5v11gs0 26 21 people people NNS cord-212912-t5v11gs0 26 22 for for IN cord-212912-t5v11gs0 26 23 the the DT cord-212912-t5v11gs0 26 24 period period NN cord-212912-t5v11gs0 26 25 from from IN cord-212912-t5v11gs0 26 26 December December NNP cord-212912-t5v11gs0 26 27 31st 31st NN cord-212912-t5v11gs0 26 28 2019 2019 CD cord-212912-t5v11gs0 26 29 to to IN cord-212912-t5v11gs0 26 30 April April NNP cord-212912-t5v11gs0 26 31 8th 8th JJ cord-212912-t5v11gs0 26 32 2020 2020 CD cord-212912-t5v11gs0 26 33 . . . cord-212912-t5v11gs0 27 1 At at IN cord-212912-t5v11gs0 27 2 the the DT cord-212912-t5v11gs0 27 3 beginning beginning NN cord-212912-t5v11gs0 27 4 of of IN cord-212912-t5v11gs0 27 5 the the DT cord-212912-t5v11gs0 27 6 pandemic pandemic NN cord-212912-t5v11gs0 27 7 the the DT cord-212912-t5v11gs0 27 8 quotient quotient NN cord-212912-t5v11gs0 27 9 S S NNP cord-212912-t5v11gs0 27 10 / / SYM cord-212912-t5v11gs0 27 11 N N NNP cord-212912-t5v11gs0 27 12 is be VBZ cord-212912-t5v11gs0 27 13 nearly nearly RB cord-212912-t5v11gs0 27 14 equal equal JJ cord-212912-t5v11gs0 27 15 to to IN cord-212912-t5v11gs0 27 16 1 1 CD cord-212912-t5v11gs0 27 17 . . . cord-212912-t5v11gs0 28 1 Also also RB cord-212912-t5v11gs0 28 2 , , , cord-212912-t5v11gs0 28 3 at at IN cord-212912-t5v11gs0 28 4 the the DT cord-212912-t5v11gs0 28 5 early early JJ cord-212912-t5v11gs0 28 6 stage stage NN cord-212912-t5v11gs0 28 7 no no DT cord-212912-t5v11gs0 28 8 - - HYPH cord-212912-t5v11gs0 28 9 one one NN cord-212912-t5v11gs0 28 10 has have VBZ cord-212912-t5v11gs0 28 11 yet yet RB cord-212912-t5v11gs0 28 12 recovered recover VBN cord-212912-t5v11gs0 28 13 . . . cord-212912-t5v11gs0 29 1 Thus thus RB cord-212912-t5v11gs0 29 2 we -PRON- PRP cord-212912-t5v11gs0 29 3 can can MD cord-212912-t5v11gs0 29 4 describe describe VB cord-212912-t5v11gs0 29 5 the the DT cord-212912-t5v11gs0 29 6 early early JJ cord-212912-t5v11gs0 29 7 regime regime NN cord-212912-t5v11gs0 29 8 by by IN cord-212912-t5v11gs0 29 9 the the DT cord-212912-t5v11gs0 29 10 equation equation NN cord-212912-t5v11gs0 29 11 We -PRON- PRP cord-212912-t5v11gs0 29 12 are be VBP cord-212912-t5v11gs0 29 13 looking look VBG cord-212912-t5v11gs0 29 14 for for IN cord-212912-t5v11gs0 29 15 periods period NNS cord-212912-t5v11gs0 29 16 in in IN cord-212912-t5v11gs0 29 17 the the DT cord-212912-t5v11gs0 29 18 spreadsheets spreadsheet NNS cord-212912-t5v11gs0 29 19 of of IN cord-212912-t5v11gs0 29 20 infected infected JJ cord-212912-t5v11gs0 29 21 people people NNS cord-212912-t5v11gs0 29 22 per per IN cord-212912-t5v11gs0 29 23 day day NN cord-212912-t5v11gs0 29 24 where where WRB cord-212912-t5v11gs0 29 25 the the DT cord-212912-t5v11gs0 29 26 course course NN cord-212912-t5v11gs0 29 27 can can MD cord-212912-t5v11gs0 29 28 be be VB cord-212912-t5v11gs0 29 29 described describe VBN cord-212912-t5v11gs0 29 30 by by IN cord-212912-t5v11gs0 29 31 a a DT cord-212912-t5v11gs0 29 32 function function NN cord-212912-t5v11gs0 29 33 of of IN cord-212912-t5v11gs0 29 34 type type NN cord-212912-t5v11gs0 29 35 ( ( -LRB- cord-212912-t5v11gs0 29 36 4 4 CD cord-212912-t5v11gs0 29 37 _SP cord-212912-t5v11gs0 29 38 We -PRON- PRP cord-212912-t5v11gs0 29 39 solved solve VBD cord-212912-t5v11gs0 29 40 this this DT cord-212912-t5v11gs0 29 41 non non JJ cord-212912-t5v11gs0 29 42 - - JJ cord-212912-t5v11gs0 29 43 linear linear JJ cord-212912-t5v11gs0 29 44 minimum minimum NN cord-212912-t5v11gs0 29 45 problem problem NN cord-212912-t5v11gs0 29 46 with with IN cord-212912-t5v11gs0 29 47 the the DT cord-212912-t5v11gs0 29 48 damped damped JJ cord-212912-t5v11gs0 29 49 Gauss Gauss NNP cord-212912-t5v11gs0 29 50 - - HYPH cord-212912-t5v11gs0 29 51 Newton Newton NNP cord-212912-t5v11gs0 29 52 method method NN cord-212912-t5v11gs0 29 53 ( ( -LRB- cord-212912-t5v11gs0 29 54 see see VB cord-212912-t5v11gs0 29 55 [ [ -LRB- cord-212912-t5v11gs0 29 56 4 4 CD cord-212912-t5v11gs0 29 57 ] ] -RRB- cord-212912-t5v11gs0 29 58 ) ) -RRB- cord-212912-t5v11gs0 29 59 . . . cord-212912-t5v11gs0 30 1 After after IN cord-212912-t5v11gs0 30 2 some some DT cord-212912-t5v11gs0 30 3 numerical numerical JJ cord-212912-t5v11gs0 30 4 tests test NNS cord-212912-t5v11gs0 30 5 we -PRON- PRP cord-212912-t5v11gs0 30 6 found find VBD cord-212912-t5v11gs0 30 7 the the DT cord-212912-t5v11gs0 30 8 subsequent subsequent JJ cord-212912-t5v11gs0 30 9 results result NNS cord-212912-t5v11gs0 30 10 for for IN cord-212912-t5v11gs0 30 11 the the DT cord-212912-t5v11gs0 30 12 considered consider VBN cord-212912-t5v11gs0 30 13 countries country NNS cord-212912-t5v11gs0 30 14 . . . cord-212912-t5v11gs0 31 1 Thereby thereby RB cord-212912-t5v11gs0 31 2 we -PRON- PRP cord-212912-t5v11gs0 31 3 chose choose VBD cord-212912-t5v11gs0 31 4 different different JJ cord-212912-t5v11gs0 31 5 periods period NNS cord-212912-t5v11gs0 31 6 for for IN cord-212912-t5v11gs0 31 7 the the DT cord-212912-t5v11gs0 31 8 countries country NNS cord-212912-t5v11gs0 31 9 with with IN cord-212912-t5v11gs0 31 10 the the DT cord-212912-t5v11gs0 31 11 aim aim NN cord-212912-t5v11gs0 31 12 to to TO cord-212912-t5v11gs0 31 13 approximate approximate VB cord-212912-t5v11gs0 31 14 the the DT cord-212912-t5v11gs0 31 15 infection infection NN cord-212912-t5v11gs0 31 16 course course NN cord-212912-t5v11gs0 31 17 in in IN cord-212912-t5v11gs0 31 18 a a DT cord-212912-t5v11gs0 31 19 good good JJ cord-212912-t5v11gs0 31 20 quality quality NN cord-212912-t5v11gs0 31 21 . . . cord-212912-t5v11gs0 32 1 The the DT cord-212912-t5v11gs0 32 2 following follow VBG cord-212912-t5v11gs0 32 3 figures figure NNS cord-212912-t5v11gs0 32 4 show show VBP cord-212912-t5v11gs0 32 5 the the DT cord-212912-t5v11gs0 32 6 graphs graph NNS cord-212912-t5v11gs0 32 7 and and CC cord-212912-t5v11gs0 32 8 the the DT cord-212912-t5v11gs0 32 9 evaluated evaluate VBN cord-212912-t5v11gs0 32 10 parameter parameter NN cord-212912-t5v11gs0 32 11 of of IN cord-212912-t5v11gs0 32 12 the the DT cord-212912-t5v11gs0 32 13 USA USA NNP cord-212912-t5v11gs0 32 14 and and CC cord-212912-t5v11gs0 32 15 the the DT cord-212912-t5v11gs0 32 16 UK UK NNP cord-212912-t5v11gs0 32 17 . . . cord-212912-t5v11gs0 33 1 It -PRON- PRP cord-212912-t5v11gs0 33 2 must must MD cord-212912-t5v11gs0 33 3 be be VB cord-212912-t5v11gs0 33 4 said say VBN cord-212912-t5v11gs0 33 5 that that IN cord-212912-t5v11gs0 33 6 evaluated evaluate VBD cord-212912-t5v11gs0 33 7 β β NN cord-212912-t5v11gs0 33 8 - - HYPH cord-212912-t5v11gs0 33 9 values value NNS cord-212912-t5v11gs0 33 10 are be VBP cord-212912-t5v11gs0 33 11 related relate VBN cord-212912-t5v11gs0 33 12 to to IN cord-212912-t5v11gs0 33 13 the the DT cord-212912-t5v11gs0 33 14 stated stated JJ cord-212912-t5v11gs0 33 15 period period NN cord-212912-t5v11gs0 33 16 . . . cord-212912-t5v11gs0 34 1 For for IN cord-212912-t5v11gs0 34 2 the the DT cord-212912-t5v11gs0 34 3 iterative iterative JJ cord-212912-t5v11gs0 34 4 Gauss Gauss NNP cord-212912-t5v11gs0 34 5 - - HYPH cord-212912-t5v11gs0 34 6 Newton Newton NNP cord-212912-t5v11gs0 34 7 method method NN cord-212912-t5v11gs0 34 8 we -PRON- PRP cord-212912-t5v11gs0 34 9 guessed guess VBD cord-212912-t5v11gs0 34 10 the the DT cord-212912-t5v11gs0 34 11 respective respective JJ cord-212912-t5v11gs0 34 12 periods period NNS cord-212912-t5v11gs0 34 13 for for IN cord-212912-t5v11gs0 34 14 every every DT cord-212912-t5v11gs0 34 15 country country NN cord-212912-t5v11gs0 34 16 by by IN cord-212912-t5v11gs0 34 17 a a DT cord-212912-t5v11gs0 34 18 visual visual JJ cord-212912-t5v11gs0 34 19 inspection inspection NN cord-212912-t5v11gs0 34 20 of of IN cord-212912-t5v11gs0 34 21 the the DT cord-212912-t5v11gs0 34 22 graphs graph NNS cord-212912-t5v11gs0 34 23 of of IN cord-212912-t5v11gs0 34 24 the the DT cord-212912-t5v11gs0 34 25 infected infected JJ cord-212912-t5v11gs0 34 26 people people NNS cord-212912-t5v11gs0 34 27 over over IN cord-212912-t5v11gs0 34 28 days day NNS cord-212912-t5v11gs0 34 29 . . . cord-212912-t5v11gs0 35 1 Especially especially RB cord-212912-t5v11gs0 35 2 in in IN cord-212912-t5v11gs0 35 3 medicine medicine NN cord-212912-t5v11gs0 35 4 , , , cord-212912-t5v11gs0 35 5 psychology psychology NN cord-212912-t5v11gs0 35 6 and and CC cord-212912-t5v11gs0 35 7 other other JJ cord-212912-t5v11gs0 35 8 life life NN cord-212912-t5v11gs0 35 9 sciences science NNS cord-212912-t5v11gs0 35 10 the the DT cord-212912-t5v11gs0 35 11 logarithm logarithm NN cord-212912-t5v11gs0 35 12 behavior behavior NN cord-212912-t5v11gs0 35 13 of of IN cord-212912-t5v11gs0 35 14 data datum NNS cord-212912-t5v11gs0 35 15 was be VBD cord-212912-t5v11gs0 35 16 readily readily RB cord-212912-t5v11gs0 35 17 considered consider VBN cord-212912-t5v11gs0 35 18 . . . cord-212912-t5v11gs0 36 1 Instead instead RB cord-212912-t5v11gs0 36 2 of of IN cord-212912-t5v11gs0 36 3 the the DT cord-212912-t5v11gs0 36 4 above above JJ cord-212912-t5v11gs0 36 5 table table NN cord-212912-t5v11gs0 36 6 of of IN cord-212912-t5v11gs0 36 7 values value NNS cord-212912-t5v11gs0 36 8 the the DT cord-212912-t5v11gs0 36 9 following following JJ cord-212912-t5v11gs0 36 10 logarithmic logarithmic JJ cord-212912-t5v11gs0 36 11 one one NN cord-212912-t5v11gs0 36 12 was be VBD cord-212912-t5v11gs0 36 13 used use VBN cord-212912-t5v11gs0 36 14 . . . cord-212912-t5v11gs0 37 1 day day NN cord-212912-t5v11gs0 37 2 log(number log(number NNP cord-212912-t5v11gs0 37 3 of of IN cord-212912-t5v11gs0 37 4 infected infected JJ cord-212912-t5v11gs0 37 5 people people NNS cord-212912-t5v11gs0 37 6 ) ) -RRB- cord-212912-t5v11gs0 38 1 The the DT cord-212912-t5v11gs0 38 2 logarithm logarithm NN cord-212912-t5v11gs0 38 3 of of IN cord-212912-t5v11gs0 38 4 ( ( -LRB- cord-212912-t5v11gs0 38 5 4 4 CD cord-212912-t5v11gs0 38 6 ) ) -RRB- cord-212912-t5v11gs0 38 7 leads lead VBZ cord-212912-t5v11gs0 38 8 to to TO cord-212912-t5v11gs0 38 9 log log VB cord-212912-t5v11gs0 38 10 I(t I(t NNP cord-212912-t5v11gs0 38 11 ) ) -RRB- cord-212912-t5v11gs0 39 1 = = NFP cord-212912-t5v11gs0 39 2 log log NN cord-212912-t5v11gs0 39 3 I -PRON- PRP cord-212912-t5v11gs0 39 4 0 0 CD cord-212912-t5v11gs0 39 5 + + CD cord-212912-t5v11gs0 40 1 βt βt NNP cord-212912-t5v11gs0 40 2 and and CC cord-212912-t5v11gs0 40 3 based base VBN cord-212912-t5v11gs0 40 4 on on IN cord-212912-t5v11gs0 40 5 the the DT cord-212912-t5v11gs0 40 6 logarithmic logarithmic JJ cord-212912-t5v11gs0 40 7 table table NN cord-212912-t5v11gs0 40 8 the the DT cord-212912-t5v11gs0 40 9 functional functional JJ cord-212912-t5v11gs0 40 10 is be VBZ cord-212912-t5v11gs0 40 11 to to TO cord-212912-t5v11gs0 40 12 minimize minimize VB cord-212912-t5v11gs0 40 13 . . . cord-212912-t5v11gs0 41 1 The the DT cord-212912-t5v11gs0 41 2 solution solution NN cord-212912-t5v11gs0 41 3 of of IN cord-212912-t5v11gs0 41 4 this this DT cord-212912-t5v11gs0 41 5 linear linear JJ cord-212912-t5v11gs0 41 6 optimization optimization NN cord-212912-t5v11gs0 41 7 problem problem NN cord-212912-t5v11gs0 41 8 is be VBZ cord-212912-t5v11gs0 41 9 trivial trivial JJ cord-212912-t5v11gs0 41 10 and and CC cord-212912-t5v11gs0 41 11 it -PRON- PRP cord-212912-t5v11gs0 41 12 is be VBZ cord-212912-t5v11gs0 41 13 available available JJ cord-212912-t5v11gs0 41 14 in in IN cord-212912-t5v11gs0 41 15 most most JJS cord-212912-t5v11gs0 41 16 of of IN cord-212912-t5v11gs0 41 17 computer computer NN cord-212912-t5v11gs0 41 18 algebra algebra NN cord-212912-t5v11gs0 41 19 systems system NNS cord-212912-t5v11gs0 41 20 as as IN cord-212912-t5v11gs0 41 21 a a DT cord-212912-t5v11gs0 41 22 " " `` cord-212912-t5v11gs0 41 23 block block NN cord-212912-t5v11gs0 41 24 box box NN cord-212912-t5v11gs0 41 25 " " '' cord-212912-t5v11gs0 41 26 of of IN cord-212912-t5v11gs0 41 27 the the DT cord-212912-t5v11gs0 41 28 logarithmiclinear logarithmiclinear NNP cord-212912-t5v11gs0 41 29 regression regression NN cord-212912-t5v11gs0 41 30 . . . cord-212912-t5v11gs0 42 1 The the DT cord-212912-t5v11gs0 42 2 following follow VBG cord-212912-t5v11gs0 42 3 figures figure NNS cord-212912-t5v11gs0 42 4 show show VBP cord-212912-t5v11gs0 42 5 the the DT cord-212912-t5v11gs0 42 6 results result NNS cord-212912-t5v11gs0 42 7 for for IN cord-212912-t5v11gs0 42 8 the the DT cord-212912-t5v11gs0 42 9 same same JJ cord-212912-t5v11gs0 42 10 periods period NNS cord-212912-t5v11gs0 42 11 as as IN cord-212912-t5v11gs0 42 12 above above RB cord-212912-t5v11gs0 42 13 for for IN cord-212912-t5v11gs0 42 14 the the DT cord-212912-t5v11gs0 42 15 USA USA NNP cord-212912-t5v11gs0 42 16 and and CC cord-212912-t5v11gs0 42 17 the the DT cord-212912-t5v11gs0 42 18 UK UK NNP cord-212912-t5v11gs0 42 19 . . . cord-212912-t5v11gs0 43 1 Figures figure NNS cord-212912-t5v11gs0 43 2 3 3 CD cord-212912-t5v11gs0 43 3 - - SYM cord-212912-t5v11gs0 43 4 6 6 CD cord-212912-t5v11gs0 43 5 show show VBP cord-212912-t5v11gs0 43 6 that that IN cord-212912-t5v11gs0 43 7 the the DT cord-212912-t5v11gs0 43 8 logarithmic logarithmic JJ cord-212912-t5v11gs0 43 9 - - HYPH cord-212912-t5v11gs0 43 10 linear linear JJ cord-212912-t5v11gs0 43 11 regression regression NN cord-212912-t5v11gs0 43 12 implies imply VBZ cord-212912-t5v11gs0 43 13 poor poor JJ cord-212912-t5v11gs0 43 14 results result NNS cord-212912-t5v11gs0 43 15 . . . cord-212912-t5v11gs0 44 1 Thus thus RB cord-212912-t5v11gs0 44 2 , , , cord-212912-t5v11gs0 44 3 the the DT cord-212912-t5v11gs0 44 4 non non JJ cord-212912-t5v11gs0 44 5 - - JJ cord-212912-t5v11gs0 44 6 linear linear JJ cord-212912-t5v11gs0 44 7 optimization optimization NN cord-212912-t5v11gs0 44 8 problem problem NN cord-212912-t5v11gs0 44 9 ( ( -LRB- cord-212912-t5v11gs0 44 10 5 5 LS cord-212912-t5v11gs0 44 11 ) ) -RRB- cord-212912-t5v11gs0 44 12 is be VBZ cord-212912-t5v11gs0 44 13 to to TO cord-212912-t5v11gs0 44 14 choose choose VB cord-212912-t5v11gs0 44 15 as as IN cord-212912-t5v11gs0 44 16 the the DT cord-212912-t5v11gs0 44 17 favored favor VBN cord-212912-t5v11gs0 44 18 method method NN cord-212912-t5v11gs0 44 19 for for IN cord-212912-t5v11gs0 44 20 the the DT cord-212912-t5v11gs0 44 21 estimation estimation NN cord-212912-t5v11gs0 44 22 of of IN cord-212912-t5v11gs0 44 23 I I NNP cord-212912-t5v11gs0 44 24 0 0 CD cord-212912-t5v11gs0 44 25 and and CC cord-212912-t5v11gs0 44 26 β β NN cord-212912-t5v11gs0 44 27 . . . cord-212912-t5v11gs0 45 1 We -PRON- PRP cord-212912-t5v11gs0 45 2 found find VBD cord-212912-t5v11gs0 45 3 some some DT cord-212912-t5v11gs0 45 4 notes note NNS cord-212912-t5v11gs0 45 5 on on IN cord-212912-t5v11gs0 45 6 the the DT cord-212912-t5v11gs0 45 7 parameters parameter NNS cord-212912-t5v11gs0 45 8 of of IN cord-212912-t5v11gs0 45 9 Italy Italy NNP cord-212912-t5v11gs0 45 10 in in IN cord-212912-t5v11gs0 45 11 the the DT cord-212912-t5v11gs0 45 12 literature literature NN cord-212912-t5v11gs0 45 13 , , , cord-212912-t5v11gs0 45 14 for for IN cord-212912-t5v11gs0 45 15 example example NN cord-212912-t5v11gs0 45 16 β β NN cord-212912-t5v11gs0 45 17 = = SYM cord-212912-t5v11gs0 45 18 0 0 CD cord-212912-t5v11gs0 45 19 25 25 CD cord-212912-t5v11gs0 45 20 , , , cord-212912-t5v11gs0 45 21 and and CC cord-212912-t5v11gs0 45 22 we -PRON- PRP cord-212912-t5v11gs0 45 23 are be VBP cord-212912-t5v11gs0 45 24 afraid afraid JJ cord-212912-t5v11gs0 45 25 that that IN cord-212912-t5v11gs0 45 26 this this DT cord-212912-t5v11gs0 45 27 is be VBZ cord-212912-t5v11gs0 45 28 a a DT cord-212912-t5v11gs0 45 29 result result NN cord-212912-t5v11gs0 45 30 of of IN cord-212912-t5v11gs0 45 31 the the DT cord-212912-t5v11gs0 45 32 logarithmic logarithmic JJ cord-212912-t5v11gs0 45 33 - - HYPH cord-212912-t5v11gs0 45 34 linear linear JJ cord-212912-t5v11gs0 45 35 regression regression NN cord-212912-t5v11gs0 45 36 . . . cord-212912-t5v11gs0 46 1 Our -PRON- PRP$ cord-212912-t5v11gs0 46 2 result result NN cord-212912-t5v11gs0 46 3 for for IN cord-212912-t5v11gs0 46 4 Italy Italy NNP cord-212912-t5v11gs0 46 5 is be VBZ cord-212912-t5v11gs0 46 6 pictured picture VBN cord-212912-t5v11gs0 46 7 in in IN cord-212912-t5v11gs0 46 8 fig fig NN cord-212912-t5v11gs0 46 9 . . . cord-212912-t5v11gs0 47 1 7 7 CD cord-212912-t5v11gs0 47 2 and and CC cord-212912-t5v11gs0 47 3 fig fig VB cord-212912-t5v11gs0 47 4 . . . cord-212912-t5v11gs0 48 1 8 8 CD cord-212912-t5v11gs0 48 2 . . . cord-212912-t5v11gs0 49 1 Neither neither DT cord-212912-t5v11gs0 49 2 data datum NNS cord-212912-t5v11gs0 49 3 from from IN cord-212912-t5v11gs0 49 4 ECDC ECDC NNP cord-212912-t5v11gs0 49 5 nor nor CC cord-212912-t5v11gs0 49 6 the the DT cord-212912-t5v11gs0 49 7 data datum NNS cord-212912-t5v11gs0 49 8 from from IN cord-212912-t5v11gs0 49 9 the the DT cord-212912-t5v11gs0 49 10 German german JJ cord-212912-t5v11gs0 49 11 Robert Robert NNP cord-212912-t5v11gs0 49 12 - - HYPH cord-212912-t5v11gs0 49 13 Koch Koch NNP cord-212912-t5v11gs0 49 14 - - HYPH cord-212912-t5v11gs0 49 15 Institut Institut NNP cord-212912-t5v11gs0 49 16 and and CC cord-212912-t5v11gs0 49 17 the the DT cord-212912-t5v11gs0 49 18 data datum NNS cord-212912-t5v11gs0 49 19 from from IN cord-212912-t5v11gs0 49 20 the the DT cord-212912-t5v11gs0 49 21 Johns Johns NNP cord-212912-t5v11gs0 49 22 Hopkins Hopkins NNP cord-212912-t5v11gs0 49 23 University University NNP cord-212912-t5v11gs0 49 24 are be VBP cord-212912-t5v11gs0 49 25 correct correct JJ cord-212912-t5v11gs0 49 26 , , , cord-212912-t5v11gs0 49 27 for for IN cord-212912-t5v11gs0 49 28 we -PRON- PRP cord-212912-t5v11gs0 49 29 have have VBP cord-212912-t5v11gs0 49 30 to to TO cord-212912-t5v11gs0 49 31 reasonably reasonably RB cord-212912-t5v11gs0 49 32 assume assume VB cord-212912-t5v11gs0 49 33 that that IN cord-212912-t5v11gs0 49 34 there there EX cord-212912-t5v11gs0 49 35 are be VBP cord-212912-t5v11gs0 49 36 a a DT cord-212912-t5v11gs0 49 37 number number NN cord-212912-t5v11gs0 49 38 of of IN cord-212912-t5v11gs0 49 39 unknown unknown JJ cord-212912-t5v11gs0 49 40 cases case NNS cord-212912-t5v11gs0 49 41 . . . cord-212912-t5v11gs0 50 1 It -PRON- PRP cord-212912-t5v11gs0 50 2 is be VBZ cord-212912-t5v11gs0 50 3 guessed guess VBN cord-212912-t5v11gs0 50 4 that that IN cord-212912-t5v11gs0 50 5 the the DT cord-212912-t5v11gs0 50 6 data data NN cord-212912-t5v11gs0 50 7 covers cover VBZ cord-212912-t5v11gs0 50 8 only only RB cord-212912-t5v11gs0 50 9 15 15 CD cord-212912-t5v11gs0 50 10 % % NN cord-212912-t5v11gs0 50 11 of of IN cord-212912-t5v11gs0 50 12 the the DT cord-212912-t5v11gs0 50 13 real real JJ cord-212912-t5v11gs0 50 14 cases case NNS cord-212912-t5v11gs0 50 15 . . . cord-212912-t5v11gs0 51 1 Considering consider VBG cord-212912-t5v11gs0 51 2 this this DT cord-212912-t5v11gs0 51 3 we -PRON- PRP cord-212912-t5v11gs0 51 4 get get VBP cord-212912-t5v11gs0 51 5 a a DT cord-212912-t5v11gs0 51 6 slightly slightly RB cord-212912-t5v11gs0 51 7 changed change VBN cord-212912-t5v11gs0 51 8 results result NNS cord-212912-t5v11gs0 51 9 and and CC cord-212912-t5v11gs0 51 10 in in IN cord-212912-t5v11gs0 51 11 the the DT cord-212912-t5v11gs0 51 12 subsequent subsequent JJ cord-212912-t5v11gs0 51 13 computations computation NNS cord-212912-t5v11gs0 51 14 we -PRON- PRP cord-212912-t5v11gs0 51 15 will will MD cord-212912-t5v11gs0 51 16 include include VB cord-212912-t5v11gs0 51 17 estimated estimate VBN cord-212912-t5v11gs0 51 18 number number NN cord-212912-t5v11gs0 51 19 of of IN cord-212912-t5v11gs0 51 20 unknown unknown JJ cord-212912-t5v11gs0 51 21 cases case NNS cord-212912-t5v11gs0 51 22 to to IN cord-212912-t5v11gs0 51 23 the the DT cord-212912-t5v11gs0 51 24 initial initial JJ cord-212912-t5v11gs0 51 25 values value NNS cord-212912-t5v11gs0 51 26 of of IN cord-212912-t5v11gs0 51 27 I. i. NN cord-212912-t5v11gs0 52 1 For for IN cord-212912-t5v11gs0 52 2 the the DT cord-212912-t5v11gs0 52 3 UK UK NNP cord-212912-t5v11gs0 52 4 we -PRON- PRP cord-212912-t5v11gs0 52 5 use use VBP cord-212912-t5v11gs0 52 6 the the DT cord-212912-t5v11gs0 52 7 β β NN cord-212912-t5v11gs0 52 8 - - HYPH cord-212912-t5v11gs0 52 9 value value NN cord-212912-t5v11gs0 52 10 0,235 0,235 CD cord-212912-t5v11gs0 52 11 ( ( -LRB- cord-212912-t5v11gs0 52 12 see see VB cord-212912-t5v11gs0 52 13 fig fig NN cord-212912-t5v11gs0 52 14 . . NNP cord-212912-t5v11gs0 52 15 2 2 LS cord-212912-t5v11gs0 52 16 ) ) -RRB- cord-212912-t5v11gs0 52 17 and and CC cord-212912-t5v11gs0 52 18 γ γ NN cord-212912-t5v11gs0 52 19 = = SYM cord-212912-t5v11gs0 52 20 0,07 0,07 CD cord-212912-t5v11gs0 53 1 we -PRON- PRP cord-212912-t5v11gs0 53 2 get get VBP cord-212912-t5v11gs0 53 3 the the DT cord-212912-t5v11gs0 53 4 course course NN cord-212912-t5v11gs0 53 5 pictured picture VBN cord-212912-t5v11gs0 53 6 in in IN cord-212912-t5v11gs0 53 7 fig fig NN cord-212912-t5v11gs0 53 8 . . . cord-212912-t5v11gs0 54 1 10 10 CD cord-212912-t5v11gs0 54 2 . . . cord-212912-t5v11gs0 55 1 N N NNP cord-212912-t5v11gs0 55 2 was be VBD cord-212912-t5v11gs0 55 3 set set VBN cord-212912-t5v11gs0 55 4 to to IN cord-212912-t5v11gs0 55 5 60 60 CD cord-212912-t5v11gs0 55 6 millions million NNS cord-212912-t5v11gs0 55 7 . . . cord-212912-t5v11gs0 56 1 In in IN cord-212912-t5v11gs0 56 2 all all DT cord-212912-t5v11gs0 56 3 countries country NNS cord-212912-t5v11gs0 56 4 concerned concern VBN cord-212912-t5v11gs0 56 5 by by IN cord-212912-t5v11gs0 56 6 the the DT cord-212912-t5v11gs0 56 7 Corona Corona NNP cord-212912-t5v11gs0 56 8 pandemic pandemic NN cord-212912-t5v11gs0 56 9 a a DT cord-212912-t5v11gs0 56 10 lockdown lockdown NN cord-212912-t5v11gs0 56 11 of of IN cord-212912-t5v11gs0 56 12 the the DT cord-212912-t5v11gs0 56 13 social social JJ cord-212912-t5v11gs0 56 14 life life NN cord-212912-t5v11gs0 56 15 is be VBZ cord-212912-t5v11gs0 56 16 discussed discuss VBN cord-212912-t5v11gs0 56 17 . . . cord-212912-t5v11gs0 57 1 In in IN cord-212912-t5v11gs0 57 2 Germany Germany NNP cord-212912-t5v11gs0 57 3 the the DT cord-212912-t5v11gs0 57 4 lockdown lockdown NN cord-212912-t5v11gs0 57 5 started start VBD cord-212912-t5v11gs0 57 6 at at IN cord-212912-t5v11gs0 57 7 March March NNP cord-212912-t5v11gs0 57 8 16th 16th NN cord-212912-t5v11gs0 57 9 2020 2020 CD cord-212912-t5v11gs0 57 10 . . . cord-212912-t5v11gs0 58 1 The the DT cord-212912-t5v11gs0 58 2 effects effect NNS cord-212912-t5v11gs0 58 3 of of IN cord-212912-t5v11gs0 58 4 social social JJ cord-212912-t5v11gs0 58 5 distancing distancing NN cord-212912-t5v11gs0 58 6 to to TO cord-212912-t5v11gs0 58 7 decrease decrease VB cord-212912-t5v11gs0 58 8 the the DT cord-212912-t5v11gs0 58 9 infection infection NN cord-212912-t5v11gs0 58 10 rate rate NN cord-212912-t5v11gs0 58 11 can can MD cord-212912-t5v11gs0 58 12 be be VB cord-212912-t5v11gs0 58 13 modeled model VBN cord-212912-t5v11gs0 58 14 by by IN cord-212912-t5v11gs0 58 15 a a DT cord-212912-t5v11gs0 58 16 modification modification NN cord-212912-t5v11gs0 58 17 of of IN cord-212912-t5v11gs0 58 18 _SP cord-212912-t5v11gs0 58 19 κ κ NNP cord-212912-t5v11gs0 58 20 is be VBZ cord-212912-t5v11gs0 58 21 a a DT cord-212912-t5v11gs0 58 22 function function NN cord-212912-t5v11gs0 58 23 with with IN cord-212912-t5v11gs0 58 24 values value NNS cord-212912-t5v11gs0 58 25 in in IN cord-212912-t5v11gs0 58 26 [ [ -LRB- cord-212912-t5v11gs0 58 27 0,1 0,1 CD cord-212912-t5v11gs0 58 28 ] ] -RRB- cord-212912-t5v11gs0 58 29 . . . cord-212912-t5v11gs0 59 1 For for IN cord-212912-t5v11gs0 59 2 example example NN cord-212912-t5v11gs0 59 3 for for IN cord-212912-t5v11gs0 59 4 t t NN cord-212912-t5v11gs0 59 5 > > XX cord-212912-t5v11gs0 59 6 t t NN cord-212912-t5v11gs0 59 7 1 1 CD cord-212912-t5v11gs0 59 8 , , , cord-212912-t5v11gs0 59 9 t t NN cord-212912-t5v11gs0 59 10 < < XX cord-212912-t5v11gs0 59 11 t t NN cord-212912-t5v11gs0 59 12 0 0 CD cord-212912-t5v11gs0 59 13 means mean NNS cord-212912-t5v11gs0 59 14 for for IN cord-212912-t5v11gs0 59 15 example example NN cord-212912-t5v11gs0 59 16 a a DT cord-212912-t5v11gs0 59 17 reduction reduction NN cord-212912-t5v11gs0 59 18 of of IN cord-212912-t5v11gs0 59 19 the the DT cord-212912-t5v11gs0 59 20 infection infection NN cord-212912-t5v11gs0 59 21 rate rate NN cord-212912-t5v11gs0 59 22 of of IN cord-212912-t5v11gs0 59 23 50 50 CD cord-212912-t5v11gs0 59 24 % % NN cord-212912-t5v11gs0 59 25 in in IN cord-212912-t5v11gs0 59 26 the the DT cord-212912-t5v11gs0 59 27 period period NN cord-212912-t5v11gs0 60 1 [ [ -LRB- cord-212912-t5v11gs0 60 2 t t NNP cord-212912-t5v11gs0 60 3 0 0 CD cord-212912-t5v11gs0 60 4 , , , cord-212912-t5v11gs0 60 5 t t NN cord-212912-t5v11gs0 60 6 1 1 CD cord-212912-t5v11gs0 60 7 ] ] -RRB- cord-212912-t5v11gs0 61 1 ( ( -LRB- cord-212912-t5v11gs0 61 2 ∆ ∆ NNP cord-212912-t5v11gs0 61 3 t t NNP cord-212912-t5v11gs0 61 4 = = NNP cord-212912-t5v11gs0 62 1 t t NNP cord-212912-t5v11gs0 63 1 1 1 LS cord-212912-t5v11gs0 63 2 − − NN cord-212912-t5v11gs0 63 3 t t NN cord-212912-t5v11gs0 63 4 0 0 CD cord-212912-t5v11gs0 63 5 is be VBZ cord-212912-t5v11gs0 63 6 the the DT cord-212912-t5v11gs0 63 7 duration duration NN cord-212912-t5v11gs0 63 8 of of IN cord-212912-t5v11gs0 63 9 the the DT cord-212912-t5v11gs0 63 10 temporary temporary JJ cord-212912-t5v11gs0 63 11 lockdown lockdown NN cord-212912-t5v11gs0 63 12 in in IN cord-212912-t5v11gs0 63 13 days day NNS cord-212912-t5v11gs0 63 14 ) ) -RRB- cord-212912-t5v11gs0 63 15 . . . cord-212912-t5v11gs0 64 1 A a DT cord-212912-t5v11gs0 64 2 good good JJ cord-212912-t5v11gs0 64 3 choice choice NN cord-212912-t5v11gs0 64 4 of of IN cord-212912-t5v11gs0 64 5 t t NN cord-212912-t5v11gs0 64 6 0 0 CD cord-212912-t5v11gs0 64 7 and and CC cord-212912-t5v11gs0 64 8 t t NNP cord-212912-t5v11gs0 64 9 k k NNP cord-212912-t5v11gs0 64 10 is be VBZ cord-212912-t5v11gs0 64 11 going go VBG cord-212912-t5v11gs0 64 12 to to TO cord-212912-t5v11gs0 64 13 be be VB cord-212912-t5v11gs0 64 14 complicated complicated JJ cord-212912-t5v11gs0 64 15 . . . cord-212912-t5v11gs0 65 1 If if IN cord-212912-t5v11gs0 65 2 we -PRON- PRP cord-212912-t5v11gs0 65 3 respect respect VBP cord-212912-t5v11gs0 65 4 the the DT cord-212912-t5v11gs0 65 5 chosen choose VBN cord-212912-t5v11gs0 65 6 starting start VBG cord-212912-t5v11gs0 65 7 day day NN cord-212912-t5v11gs0 65 8 of of IN cord-212912-t5v11gs0 65 9 the the DT cord-212912-t5v11gs0 65 10 USA USA NNP cord-212912-t5v11gs0 65 11 lockdown lockdown NN cord-212912-t5v11gs0 65 12 , , , cord-212912-t5v11gs0 65 13 March March NNP cord-212912-t5v11gs0 65 14 31st 31st NN cord-212912-t5v11gs0 65 15 2020 2020 CD cord-212912-t5v11gs0 66 1 ( ( -LRB- cord-212912-t5v11gs0 66 2 this this DT cord-212912-t5v11gs0 66 3 conforms conform VBZ cord-212912-t5v11gs0 66 4 the the DT cord-212912-t5v11gs0 66 5 50th 50th JJ cord-212912-t5v11gs0 66 6 day day NN cord-212912-t5v11gs0 66 7 of of IN cord-212912-t5v11gs0 66 8 the the DT cord-212912-t5v11gs0 66 9 concerned concerned JJ cord-212912-t5v11gs0 66 10 year year NN cord-212912-t5v11gs0 66 11 ) ) -RRB- cord-212912-t5v11gs0 66 12 , , , cord-212912-t5v11gs0 66 13 and and CC cord-212912-t5v11gs0 66 14 we -PRON- PRP cord-212912-t5v11gs0 66 15 work work VBP cord-212912-t5v11gs0 66 16 with with IN cord-212912-t5v11gs0 67 1 we -PRON- PRP cord-212912-t5v11gs0 67 2 got get VBD cord-212912-t5v11gs0 67 3 the the DT cord-212912-t5v11gs0 67 4 result result NN cord-212912-t5v11gs0 67 5 pictured picture VBN cord-212912-t5v11gs0 67 6 in in IN cord-212912-t5v11gs0 67 7 fig fig NN cord-212912-t5v11gs0 67 8 . . . cord-212912-t5v11gs0 68 1 11 11 CD cord-212912-t5v11gs0 68 2 . . . cord-212912-t5v11gs0 69 1 The the DT cord-212912-t5v11gs0 69 2 numerical numerical JJ cord-212912-t5v11gs0 69 3 tests test NNS cord-212912-t5v11gs0 69 4 showed show VBD cord-212912-t5v11gs0 69 5 that that IN cord-212912-t5v11gs0 69 6 a a DT cord-212912-t5v11gs0 69 7 very very RB cord-212912-t5v11gs0 69 8 early early JJ cord-212912-t5v11gs0 69 9 start start NN cord-212912-t5v11gs0 69 10 of of IN cord-212912-t5v11gs0 69 11 the the DT cord-212912-t5v11gs0 69 12 lockdown lockdown NN cord-212912-t5v11gs0 69 13 resulting result VBG cord-212912-t5v11gs0 69 14 in in IN cord-212912-t5v11gs0 69 15 a a DT cord-212912-t5v11gs0 69 16 reduction reduction NN cord-212912-t5v11gs0 69 17 of of IN cord-212912-t5v11gs0 69 18 the the DT cord-212912-t5v11gs0 69 19 infection infection NN cord-212912-t5v11gs0 69 20 rate rate NN cord-212912-t5v11gs0 69 21 β β NN cord-212912-t5v11gs0 69 22 results result VBZ cord-212912-t5v11gs0 69 23 in in IN cord-212912-t5v11gs0 69 24 the the DT cord-212912-t5v11gs0 69 25 typical typical JJ cord-212912-t5v11gs0 69 26 Gaussian gaussian JJ cord-212912-t5v11gs0 69 27 curve curve NN cord-212912-t5v11gs0 69 28 to to TO cord-212912-t5v11gs0 69 29 be be VB cord-212912-t5v11gs0 69 30 delayed delay VBN cord-212912-t5v11gs0 69 31 by by IN cord-212912-t5v11gs0 69 32 I -PRON- PRP cord-212912-t5v11gs0 69 33 ; ; : cord-212912-t5v11gs0 69 34 however however RB cord-212912-t5v11gs0 69 35 , , , cord-212912-t5v11gs0 69 36 the the DT cord-212912-t5v11gs0 69 37 amplitude amplitude NN cord-212912-t5v11gs0 69 38 ( ( -LRB- cord-212912-t5v11gs0 69 39 maximum maximum JJ cord-212912-t5v11gs0 69 40 value value NN cord-212912-t5v11gs0 69 41 of of IN cord-212912-t5v11gs0 69 42 I i NN cord-212912-t5v11gs0 69 43 ) ) -RRB- cord-212912-t5v11gs0 69 44 does do VBZ cord-212912-t5v11gs0 69 45 n't not RB cord-212912-t5v11gs0 69 46 really really RB cord-212912-t5v11gs0 69 47 change change VB cord-212912-t5v11gs0 69 48 . . . cord-212912-t5v11gs0 70 1 One one PRP cord-212912-t5v11gs0 70 2 knows know VBZ cord-212912-t5v11gs0 70 3 that that IN cord-212912-t5v11gs0 70 4 development development NN cord-212912-t5v11gs0 70 5 of of IN cord-212912-t5v11gs0 70 6 the the DT cord-212912-t5v11gs0 70 7 infected infected JJ cord-212912-t5v11gs0 70 8 people people NNS cord-212912-t5v11gs0 70 9 looks look VBZ cord-212912-t5v11gs0 70 10 like like IN cord-212912-t5v11gs0 70 11 a a DT cord-212912-t5v11gs0 70 12 Gaussian gaussian JJ cord-212912-t5v11gs0 70 13 curve curve NN cord-212912-t5v11gs0 70 14 . . . cord-212912-t5v11gs0 71 1 The the DT cord-212912-t5v11gs0 71 2 interesting interesting JJ cord-212912-t5v11gs0 71 3 points point NNS cord-212912-t5v11gs0 71 4 in in IN cord-212912-t5v11gs0 71 5 time time NN cord-212912-t5v11gs0 71 6 are be VBP cord-212912-t5v11gs0 71 7 those those DT cord-212912-t5v11gs0 71 8 where where WRB cord-212912-t5v11gs0 71 9 the the DT cord-212912-t5v11gs0 71 10 acceleration acceleration NN cord-212912-t5v11gs0 71 11 of of IN cord-212912-t5v11gs0 71 12 the the DT cord-212912-t5v11gs0 71 13 numbers number NNS cord-212912-t5v11gs0 71 14 of of IN cord-212912-t5v11gs0 71 15 infected infected JJ cord-212912-t5v11gs0 71 16 people people NNS cord-212912-t5v11gs0 71 17 increases increase NNS cord-212912-t5v11gs0 71 18 or or CC cord-212912-t5v11gs0 71 19 decreases decrease NNS cord-212912-t5v11gs0 71 20 , , , cord-212912-t5v11gs0 71 21 respectively respectively RB cord-212912-t5v11gs0 71 22 . . . cord-212912-t5v11gs0 72 1 These these DT cord-212912-t5v11gs0 72 2 are be VBP cord-212912-t5v11gs0 72 3 the the DT cord-212912-t5v11gs0 72 4 points point NNS cord-212912-t5v11gs0 72 5 in in IN cord-212912-t5v11gs0 72 6 time time NN cord-212912-t5v11gs0 72 7 where where WRB cord-212912-t5v11gs0 72 8 the the DT cord-212912-t5v11gs0 72 9 curve curve NN cord-212912-t5v11gs0 72 10 of of IN cord-212912-t5v11gs0 72 11 I -PRON- PRP cord-212912-t5v11gs0 72 12 was be VBD cord-212912-t5v11gs0 72 13 changing change VBG cord-212912-t5v11gs0 72 14 from from IN cord-212912-t5v11gs0 72 15 a a DT cord-212912-t5v11gs0 72 16 convex convex NN cord-212912-t5v11gs0 72 17 to to IN cord-212912-t5v11gs0 72 18 a a DT cord-212912-t5v11gs0 72 19 concave concave JJ cord-212912-t5v11gs0 72 20 behavior behavior NN cord-212912-t5v11gs0 72 21 or or CC cord-212912-t5v11gs0 72 22 vice vice NN cord-212912-t5v11gs0 72 23 versa versa RB cord-212912-t5v11gs0 72 24 . . . cord-212912-t5v11gs0 73 1 The the DT cord-212912-t5v11gs0 73 2 convexity convexity NN cord-212912-t5v11gs0 73 3 or or CC cord-212912-t5v11gs0 73 4 concavity concavity NN cord-212912-t5v11gs0 73 5 can can MD cord-212912-t5v11gs0 73 6 be be VB cord-212912-t5v11gs0 73 7 controlled control VBN cord-212912-t5v11gs0 73 8 by by IN cord-212912-t5v11gs0 73 9 the the DT cord-212912-t5v11gs0 73 10 second second JJ cord-212912-t5v11gs0 73 11 derivative derivative NN cord-212912-t5v11gs0 73 12 of of IN cord-212912-t5v11gs0 73 13 I(t I(t NNP cord-212912-t5v11gs0 73 14 ) ) -RRB- cord-212912-t5v11gs0 73 15 . . . cord-212912-t5v11gs0 74 1 Let let VB cord-212912-t5v11gs0 74 2 us -PRON- PRP cord-212912-t5v11gs0 74 3 consider consider VB cord-212912-t5v11gs0 74 4 equation equation NN cord-212912-t5v11gs0 74 5 ( ( -LRB- cord-212912-t5v11gs0 74 6 2 2 CD cord-212912-t5v11gs0 74 7 ) ) -RRB- cord-212912-t5v11gs0 74 8 . . . cord-212912-t5v11gs0 75 1 By by IN cord-212912-t5v11gs0 75 2 differentiation differentiation NN cord-212912-t5v11gs0 75 3 of of IN cord-212912-t5v11gs0 75 4 ( ( -LRB- cord-212912-t5v11gs0 75 5 2 2 CD cord-212912-t5v11gs0 75 6 ) ) -RRB- cord-212912-t5v11gs0 75 7 and and CC cord-212912-t5v11gs0 75 8 the the DT cord-212912-t5v11gs0 75 9 use use NN cord-212912-t5v11gs0 75 10 of of IN cord-212912-t5v11gs0 75 11 ( ( -LRB- cord-212912-t5v11gs0 75 12 1 1 LS cord-212912-t5v11gs0 75 13 ) ) -RRB- cord-212912-t5v11gs0 75 14 we -PRON- PRP cord-212912-t5v11gs0 75 15 get get VBP cord-212912-t5v11gs0 75 16 With with IN cord-212912-t5v11gs0 75 17 that that DT cord-212912-t5v11gs0 75 18 the the DT cord-212912-t5v11gs0 75 19 I i NN cord-212912-t5v11gs0 75 20 - - HYPH cord-212912-t5v11gs0 75 21 curve curve NN cord-212912-t5v11gs0 75 22 will will MD cord-212912-t5v11gs0 75 23 change change VB cord-212912-t5v11gs0 75 24 from from IN cord-212912-t5v11gs0 75 25 convex convex JJ cord-212912-t5v11gs0 75 26 to to TO cord-212912-t5v11gs0 75 27 concave concave VB cord-212912-t5v11gs0 75 28 if if IN cord-212912-t5v11gs0 75 29 the the DT cord-212912-t5v11gs0 75 30 relation relation NN cord-212912-t5v11gs0 75 31 is be VBZ cord-212912-t5v11gs0 75 32 valid valid JJ cord-212912-t5v11gs0 75 33 . . . cord-212912-t5v11gs0 76 1 For for IN cord-212912-t5v11gs0 76 2 the the DT cord-212912-t5v11gs0 76 3 switching switching NN cord-212912-t5v11gs0 76 4 time time NN cord-212912-t5v11gs0 76 5 follows follow VBZ cord-212912-t5v11gs0 76 6 A a DT cord-212912-t5v11gs0 76 7 lockdown lockdown NN cord-212912-t5v11gs0 76 8 starting start VBG cord-212912-t5v11gs0 76 9 at at IN cord-212912-t5v11gs0 76 10 t t NN cord-212912-t5v11gs0 76 11 0 0 CD cord-212912-t5v11gs0 76 12 ( ( -LRB- cord-212912-t5v11gs0 76 13 assigning assign VBG cord-212912-t5v11gs0 76 14 β β NN cord-212912-t5v11gs0 76 15 * * NFP cord-212912-t5v11gs0 76 16 = = SYM cord-212912-t5v11gs0 76 17 κβ κβ NNP cord-212912-t5v11gs0 76 18 , , , cord-212912-t5v11gs0 76 19 κ κ NN cord-212912-t5v11gs0 76 20 ∈ ∈ NN cord-212912-t5v11gs0 76 21 [ [ -LRB- cord-212912-t5v11gs0 76 22 0,1 0,1 NFP cord-212912-t5v11gs0 76 23 [ [ -LRB- cord-212912-t5v11gs0 76 24 ) ) -RRB- cord-212912-t5v11gs0 76 25 up up IN cord-212912-t5v11gs0 76 26 to to IN cord-212912-t5v11gs0 76 27 a a DT cord-212912-t5v11gs0 76 28 point point NN cord-212912-t5v11gs0 76 29 in in IN cord-212912-t5v11gs0 76 30 time time NN cord-212912-t5v11gs0 76 31 with with IN cord-212912-t5v11gs0 76 32 ∆ ∆ NNP cord-212912-t5v11gs0 76 33 t t NNP cord-212912-t5v11gs0 76 34 as as IN cord-212912-t5v11gs0 76 35 the the DT cord-212912-t5v11gs0 76 36 duration duration NN cord-212912-t5v11gs0 76 37 of of IN cord-212912-t5v11gs0 76 38 the the DT cord-212912-t5v11gs0 76 39 lockdown lockdown NN cord-212912-t5v11gs0 76 40 in in IN cord-212912-t5v11gs0 76 41 days day NNS cord-212912-t5v11gs0 76 42 , , , cord-212912-t5v11gs0 76 43 will will MD cord-212912-t5v11gs0 76 44 be be VB cord-212912-t5v11gs0 76 45 denoted denote VBN cord-212912-t5v11gs0 76 46 as as IN cord-212912-t5v11gs0 76 47 a a DT cord-212912-t5v11gs0 76 48 dynamical dynamical JJ cord-212912-t5v11gs0 76 49 lockdown lockdown NN cord-212912-t5v11gs0 76 50 ( ( -LRB- cord-212912-t5v11gs0 76 51 for for IN cord-212912-t5v11gs0 76 52 t t NN cord-212912-t5v11gs0 77 1 > > XX cord-212912-t5v11gs0 78 1 t t NNP cord-212912-t5v11gs0 78 2 1 1 CD cord-212912-t5v11gs0 78 3 β β NNP cord-212912-t5v11gs0 78 4 * * NFP cord-212912-t5v11gs0 78 5 was be VBD cord-212912-t5v11gs0 78 6 reset reset JJ cord-212912-t5v11gs0 78 7 to to IN cord-212912-t5v11gs0 78 8 the the DT cord-212912-t5v11gs0 78 9 original original JJ cord-212912-t5v11gs0 78 10 value value NN cord-212912-t5v11gs0 78 11 β β NNP cord-212912-t5v11gs0 78 12 ) ) -RRB- cord-212912-t5v11gs0 78 13 . . . cord-212912-t5v11gs0 79 1 t t NNP cord-212912-t5v11gs0 79 2 0 0 CD cord-212912-t5v11gs0 79 3 means mean VBZ cord-212912-t5v11gs0 79 4 the the DT cord-212912-t5v11gs0 79 5 point point NN cord-212912-t5v11gs0 79 6 in in IN cord-212912-t5v11gs0 79 7 time time NN cord-212912-t5v11gs0 79 8 up up IN cord-212912-t5v11gs0 79 9 to to IN cord-212912-t5v11gs0 79 10 which which WDT cord-212912-t5v11gs0 79 11 the the DT cord-212912-t5v11gs0 79 12 growth growth NN cord-212912-t5v11gs0 79 13 rate rate NN cord-212912-t5v11gs0 79 14 increases increase NNS cord-212912-t5v11gs0 79 15 and and CC cord-212912-t5v11gs0 79 16 from from IN cord-212912-t5v11gs0 79 17 which which WDT cord-212912-t5v11gs0 79 18 on on IN cord-212912-t5v11gs0 79 19 it -PRON- PRP cord-212912-t5v11gs0 79 20 decreases decrease VBZ cord-212912-t5v11gs0 79 21 . . . cord-212912-t5v11gs0 80 1 Fig Fig NNP cord-212912-t5v11gs0 80 2 . . . cord-212912-t5v11gs0 81 1 12 12 CD cord-212912-t5v11gs0 81 2 shows show VBZ cord-212912-t5v11gs0 81 3 the the DT cord-212912-t5v11gs0 81 4 result result NN cord-212912-t5v11gs0 81 5 of of IN cord-212912-t5v11gs0 81 6 such such PDT cord-212912-t5v11gs0 81 7 a a DT cord-212912-t5v11gs0 81 8 computation computation NN cord-212912-t5v11gs0 81 9 of of IN cord-212912-t5v11gs0 81 10 a a DT cord-212912-t5v11gs0 81 11 dynamical dynamical JJ cord-212912-t5v11gs0 81 12 lockdown lockdown NN cord-212912-t5v11gs0 81 13 . . . cord-212912-t5v11gs0 82 1 We -PRON- PRP cord-212912-t5v11gs0 82 2 got get VBD cord-212912-t5v11gs0 82 3 t t NN cord-212912-t5v11gs0 82 4 0 0 CD cord-212912-t5v11gs0 82 5 = = SYM cord-212912-t5v11gs0 82 6 155 155 CD cord-212912-t5v11gs0 82 7 ( ( -LRB- cord-212912-t5v11gs0 82 8 κ κ NN cord-212912-t5v11gs0 82 9 = = SYM cord-212912-t5v11gs0 82 10 0,2)-The 0,2)-the CD cord-212912-t5v11gs0 82 11 result result NN cord-212912-t5v11gs0 82 12 is be VBZ cord-212912-t5v11gs0 82 13 significant significant JJ cord-212912-t5v11gs0 82 14 . . . cord-212912-t5v11gs0 83 1 In in IN cord-212912-t5v11gs0 83 2 fig fig NN cord-212912-t5v11gs0 83 3 . . . cord-212912-t5v11gs0 84 1 14 14 CD cord-212912-t5v11gs0 84 2 a a DT cord-212912-t5v11gs0 84 3 typical typical JJ cord-212912-t5v11gs0 84 4 behavior behavior NN cord-212912-t5v11gs0 84 5 of of IN cord-212912-t5v11gs0 84 6 d d NN cord-212912-t5v11gs0 84 7 2 2 CD cord-212912-t5v11gs0 84 8 I i NN cord-212912-t5v11gs0 84 9 dt dt NN cord-212912-t5v11gs0 84 10 2 2 CD cord-212912-t5v11gs0 84 11 is be VBZ cord-212912-t5v11gs0 84 12 plotted plot VBN cord-212912-t5v11gs0 84 13 . . . cord-212912-t5v11gs0 85 1 The the DT cord-212912-t5v11gs0 85 2 result result NN cord-212912-t5v11gs0 85 3 of of IN cord-212912-t5v11gs0 85 4 a a DT cord-212912-t5v11gs0 85 5 dynamical dynamical JJ cord-212912-t5v11gs0 85 6 30 30 CD cord-212912-t5v11gs0 85 7 days day NNS cord-212912-t5v11gs0 85 8 lockdown lockdown NN cord-212912-t5v11gs0 85 9 for for IN cord-212912-t5v11gs0 85 10 the the DT cord-212912-t5v11gs0 85 11 UK UK NNP cord-212912-t5v11gs0 85 12 is be VBZ cord-212912-t5v11gs0 85 13 shown show VBN cord-212912-t5v11gs0 85 14 in in IN cord-212912-t5v11gs0 85 15 fig fig NN cord-212912-t5v11gs0 85 16 . . . cord-212912-t5v11gs0 86 1 13 13 CD cord-212912-t5v11gs0 86 2 , , , cord-212912-t5v11gs0 86 3 where where WRB cord-212912-t5v11gs0 86 4 we -PRON- PRP cord-212912-t5v11gs0 86 5 found find VBD cord-212912-t5v11gs0 86 6 t t NN cord-212912-t5v11gs0 86 7 0 0 CD cord-212912-t5v11gs0 86 8 = = SYM cord-212912-t5v11gs0 86 9 117 117 CD cord-212912-t5v11gs0 86 10 ( ( -LRB- cord-212912-t5v11gs0 86 11 κ κ NN cord-212912-t5v11gs0 86 12 = = SYM cord-212912-t5v11gs0 86 13 0,2 0,2 CD cord-212912-t5v11gs0 86 14 ) ) -RRB- cord-212912-t5v11gs0 86 15 . . . cord-212912-t5v11gs0 87 1 Data datum NNS cord-212912-t5v11gs0 87 2 from from IN cord-212912-t5v11gs0 87 3 China China NNP cord-212912-t5v11gs0 87 4 and and CC cord-212912-t5v11gs0 87 5 South South NNP cord-212912-t5v11gs0 87 6 Korea Korea NNP cord-212912-t5v11gs0 87 7 suggests suggest VBZ cord-212912-t5v11gs0 87 8 that that IN cord-212912-t5v11gs0 87 9 the the DT cord-212912-t5v11gs0 87 10 group group NN cord-212912-t5v11gs0 87 11 of of IN cord-212912-t5v11gs0 87 12 infected infected JJ cord-212912-t5v11gs0 87 13 people people NNS cord-212912-t5v11gs0 87 14 with with IN cord-212912-t5v11gs0 87 15 an an DT cord-212912-t5v11gs0 87 16 age age NN cord-212912-t5v11gs0 87 17 of of IN cord-212912-t5v11gs0 87 18 70 70 CD cord-212912-t5v11gs0 87 19 or or CC cord-212912-t5v11gs0 87 20 more more JJR cord-212912-t5v11gs0 87 21 is be VBZ cord-212912-t5v11gs0 87 22 of of IN cord-212912-t5v11gs0 87 23 magnitude magnitude NN cord-212912-t5v11gs0 87 24 10 10 CD cord-212912-t5v11gs0 87 25 % % NN cord-212912-t5v11gs0 87 26 . . . cord-212912-t5v11gs0 88 1 This this DT cord-212912-t5v11gs0 88 2 group group NN cord-212912-t5v11gs0 88 3 has have VBZ cord-212912-t5v11gs0 88 4 a a DT cord-212912-t5v11gs0 88 5 significant significant JJ cord-212912-t5v11gs0 88 6 higher high JJR cord-212912-t5v11gs0 88 7 mortality mortality NN cord-212912-t5v11gs0 88 8 rate rate NN cord-212912-t5v11gs0 88 9 than than IN cord-212912-t5v11gs0 88 10 the the DT cord-212912-t5v11gs0 88 11 rest rest NN cord-212912-t5v11gs0 88 12 of of IN cord-212912-t5v11gs0 88 13 the the DT cord-212912-t5v11gs0 88 14 infected infected JJ cord-212912-t5v11gs0 88 15 people people NNS cord-212912-t5v11gs0 88 16 . . . cord-212912-t5v11gs0 89 1 Thus thus RB cord-212912-t5v11gs0 89 2 we -PRON- PRP cord-212912-t5v11gs0 89 3 can can MD cord-212912-t5v11gs0 89 4 presume presume VB cord-212912-t5v11gs0 89 5 that that IN cord-212912-t5v11gs0 89 6 α=10 α=10 XX cord-212912-t5v11gs0 89 7 % % NN cord-212912-t5v11gs0 89 8 of of IN cord-212912-t5v11gs0 89 9 I -PRON- PRP cord-212912-t5v11gs0 89 10 must must MD cord-212912-t5v11gs0 89 11 be be VB cord-212912-t5v11gs0 89 12 especially especially RB cord-212912-t5v11gs0 89 13 sheltered shelter VBN cord-212912-t5v11gs0 89 14 and and CC cord-212912-t5v11gs0 89 15 possibly possibly RB cord-212912-t5v11gs0 89 16 medicated medicated JJ cord-212912-t5v11gs0 89 17 very very RB cord-212912-t5v11gs0 89 18 intensively intensively RB cord-212912-t5v11gs0 89 19 as as IN cord-212912-t5v11gs0 89 20 a a DT cord-212912-t5v11gs0 89 21 highrisk highrisk JJ cord-212912-t5v11gs0 89 22 group group NN cord-212912-t5v11gs0 89 23 . . . cord-212912-t5v11gs0 90 1 This this DT cord-212912-t5v11gs0 90 2 result result NN cord-212912-t5v11gs0 90 3 proves prove VBZ cord-212912-t5v11gs0 90 4 the the DT cord-212912-t5v11gs0 90 5 usefulness usefulness NN cord-212912-t5v11gs0 90 6 of of IN cord-212912-t5v11gs0 90 7 a a DT cord-212912-t5v11gs0 90 8 lockdown lockdown NN cord-212912-t5v11gs0 90 9 or or CC cord-212912-t5v11gs0 90 10 a a DT cord-212912-t5v11gs0 90 11 strict strict JJ cord-212912-t5v11gs0 90 12 social social JJ cord-212912-t5v11gs0 90 13 distancing distancing NN cord-212912-t5v11gs0 90 14 during during IN cord-212912-t5v11gs0 90 15 an an DT cord-212912-t5v11gs0 90 16 epidemic epidemic NN cord-212912-t5v11gs0 90 17 disease disease NN cord-212912-t5v11gs0 90 18 . . . cord-212912-t5v11gs0 91 1 We -PRON- PRP cord-212912-t5v11gs0 91 2 observe observe VBP cord-212912-t5v11gs0 91 3 a a DT cord-212912-t5v11gs0 91 4 flattening flattening NN cord-212912-t5v11gs0 91 5 of of IN cord-212912-t5v11gs0 91 6 the the DT cord-212912-t5v11gs0 91 7 infection infection NN cord-212912-t5v11gs0 91 8 curve curve NN cord-212912-t5v11gs0 91 9 as as IN cord-212912-t5v11gs0 91 10 requested request VBN cord-212912-t5v11gs0 91 11 by by IN cord-212912-t5v11gs0 91 12 politicians politician NNS cord-212912-t5v11gs0 91 13 and and CC cord-212912-t5v11gs0 91 14 health health NN cord-212912-t5v11gs0 91 15 professionals professional NNS cord-212912-t5v11gs0 91 16 . . . cord-212912-t5v11gs0 92 1 With with IN cord-212912-t5v11gs0 92 2 a a DT cord-212912-t5v11gs0 92 3 strict strict JJ cord-212912-t5v11gs0 92 4 social social JJ cord-212912-t5v11gs0 92 5 distancing distancing NN cord-212912-t5v11gs0 92 6 for for IN cord-212912-t5v11gs0 92 7 a a DT cord-212912-t5v11gs0 92 8 limited limited JJ cord-212912-t5v11gs0 92 9 time time NN cord-212912-t5v11gs0 92 10 one one PRP cord-212912-t5v11gs0 92 11 can can MD cord-212912-t5v11gs0 92 12 save save VB cord-212912-t5v11gs0 92 13 time time NN cord-212912-t5v11gs0 92 14 to to TO cord-212912-t5v11gs0 92 15 find find VB cord-212912-t5v11gs0 92 16 vaccines vaccine NNS cord-212912-t5v11gs0 92 17 and and CC cord-212912-t5v11gs0 92 18 time time NN cord-212912-t5v11gs0 92 19 to to TO cord-212912-t5v11gs0 92 20 improve improve VB cord-212912-t5v11gs0 92 21 the the DT cord-212912-t5v11gs0 92 22 possibilities possibility NNS cord-212912-t5v11gs0 92 23 to to TO cord-212912-t5v11gs0 92 24 help help VB cord-212912-t5v11gs0 92 25 high high JJ cord-212912-t5v11gs0 92 26 - - HYPH cord-212912-t5v11gs0 92 27 risk risk NN cord-212912-t5v11gs0 92 28 people people NNS cord-212912-t5v11gs0 92 29 in in IN cord-212912-t5v11gs0 92 30 hospitals hospital NNS cord-212912-t5v11gs0 92 31 . . . cord-212912-t5v11gs0 93 1 To to TO cord-212912-t5v11gs0 93 2 see see VB cord-212912-t5v11gs0 93 3 the the DT cord-212912-t5v11gs0 93 4 influence influence NN cord-212912-t5v11gs0 93 5 of of IN cord-212912-t5v11gs0 93 6 a a DT cord-212912-t5v11gs0 93 7 social social JJ cord-212912-t5v11gs0 93 8 distancing distancing NN cord-212912-t5v11gs0 93 9 we -PRON- PRP cord-212912-t5v11gs0 93 10 look look VBP cord-212912-t5v11gs0 93 11 at at IN cord-212912-t5v11gs0 93 12 the the DT cord-212912-t5v11gs0 93 13 UK UK NNP cord-212912-t5v11gs0 93 14 situation situation NN cord-212912-t5v11gs0 93 15 without without IN cord-212912-t5v11gs0 93 16 a a DT cord-212912-t5v11gs0 93 17 lockdown lockdown NN cord-212912-t5v11gs0 93 18 and and CC cord-212912-t5v11gs0 93 19 a a DT cord-212912-t5v11gs0 93 20 dynamical dynamical JJ cord-212912-t5v11gs0 93 21 lockdown lockdown NN cord-212912-t5v11gs0 93 22 of of IN cord-212912-t5v11gs0 93 23 30 30 CD cord-212912-t5v11gs0 93 24 days day NNS cord-212912-t5v11gs0 93 25 with with IN cord-212912-t5v11gs0 93 26 fig fig NN cord-212912-t5v11gs0 93 27 . . . cord-212912-t5v11gs0 94 1 16 16 CD cord-212912-t5v11gs0 94 2 ( ( -LRB- cord-212912-t5v11gs0 94 3 κ κ NN cord-212912-t5v11gs0 94 4 = = SYM cord-212912-t5v11gs0 94 5 0,2 0,2 CD cord-212912-t5v11gs0 94 6 ) ) -RRB- cord-212912-t5v11gs0 94 7 for for IN cord-212912-t5v11gs0 94 8 the the DT cord-212912-t5v11gs0 94 9 10 10 CD cord-212912-t5v11gs0 94 10 % % NN cord-212912-t5v11gs0 94 11 high high JJ cord-212912-t5v11gs0 94 12 - - HYPH cord-212912-t5v11gs0 94 13 risk risk NN cord-212912-t5v11gs0 94 14 people people NNS cord-212912-t5v11gs0 94 15 . . . cord-212912-t5v11gs0 95 1 The the DT cord-212912-t5v11gs0 95 2 computations computation NNS cord-212912-t5v11gs0 95 3 with with IN cord-212912-t5v11gs0 95 4 the the DT cord-212912-t5v11gs0 95 5 SIR SIR NNP cord-212912-t5v11gs0 95 6 model model NN cord-212912-t5v11gs0 95 7 show show VB cord-212912-t5v11gs0 95 8 , , , cord-212912-t5v11gs0 95 9 that that IN cord-212912-t5v11gs0 95 10 the the DT cord-212912-t5v11gs0 95 11 social social JJ cord-212912-t5v11gs0 95 12 distancing distancing NN cord-212912-t5v11gs0 95 13 with with IN cord-212912-t5v11gs0 95 14 a a DT cord-212912-t5v11gs0 95 15 lockdown lockdown NN cord-212912-t5v11gs0 95 16 will will MD cord-212912-t5v11gs0 95 17 only only RB cord-212912-t5v11gs0 95 18 be be VB cord-212912-t5v11gs0 95 19 successful successful JJ cord-212912-t5v11gs0 95 20 with with IN cord-212912-t5v11gs0 95 21 a a DT cord-212912-t5v11gs0 95 22 start start NN cord-212912-t5v11gs0 95 23 behind behind IN cord-212912-t5v11gs0 95 24 the the DT cord-212912-t5v11gs0 95 25 time time NN cord-212912-t5v11gs0 95 26 greater great JJR cord-212912-t5v11gs0 95 27 or or CC cord-212912-t5v11gs0 95 28 equal equal JJ cord-212912-t5v11gs0 95 29 to to IN cord-212912-t5v11gs0 95 30 t t NN cord-212912-t5v11gs0 95 31 0 0 CD cord-212912-t5v11gs0 95 32 , , , cord-212912-t5v11gs0 95 33 found find VBN cord-212912-t5v11gs0 95 34 by by IN cord-212912-t5v11gs0 95 35 the the DT cord-212912-t5v11gs0 95 36 evaluation evaluation NN cord-212912-t5v11gs0 95 37 of of IN cord-212912-t5v11gs0 95 38 the the DT cord-212912-t5v11gs0 95 39 second second JJ cord-212912-t5v11gs0 95 40 derivative derivative NN cord-212912-t5v11gs0 95 41 of of IN cord-212912-t5v11gs0 95 42 I -PRON- PRP cord-212912-t5v11gs0 95 43 ( ( -LRB- cord-212912-t5v11gs0 95 44 formula formula NN cord-212912-t5v11gs0 95 45 ( ( -LRB- cord-212912-t5v11gs0 95 46 10 10 CD cord-212912-t5v11gs0 95 47 ) ) -RRB- cord-212912-t5v11gs0 95 48 ) ) -RRB- cord-212912-t5v11gs0 95 49 . . . cord-212912-t5v11gs0 96 1 If if IN cord-212912-t5v11gs0 96 2 the the DT cord-212912-t5v11gs0 96 3 lockdown lockdown NN cord-212912-t5v11gs0 96 4 is be VBZ cord-212912-t5v11gs0 96 5 started start VBN cord-212912-t5v11gs0 96 6 at at IN cord-212912-t5v11gs0 96 7 a a DT cord-212912-t5v11gs0 96 8 time time NN cord-212912-t5v11gs0 96 9 less less JJR cord-212912-t5v11gs0 96 10 then then RB cord-212912-t5v11gs0 96 11 t t XX cord-212912-t5v11gs0 96 12 0 0 NFP cord-212912-t5v11gs0 96 13 the the DT cord-212912-t5v11gs0 96 14 effect effect NN cord-212912-t5v11gs0 96 15 of of IN cord-212912-t5v11gs0 96 16 such such PDT cord-212912-t5v11gs0 96 17 a a DT cord-212912-t5v11gs0 96 18 social social JJ cord-212912-t5v11gs0 96 19 distancing distancing NN cord-212912-t5v11gs0 96 20 is be VBZ cord-212912-t5v11gs0 96 21 not not RB cord-212912-t5v11gs0 96 22 significant significant JJ cord-212912-t5v11gs0 96 23 . . . cord-212912-t5v11gs0 97 1 If if IN cord-212912-t5v11gs0 97 2 we -PRON- PRP cord-212912-t5v11gs0 97 3 write write VBP cord-212912-t5v11gs0 97 4 ( ( -LRB- cord-212912-t5v11gs0 97 5 2 2 CD cord-212912-t5v11gs0 97 6 ) ) -RRB- cord-212912-t5v11gs0 97 7 or or CC cord-212912-t5v11gs0 97 8 ( ( -LRB- cord-212912-t5v11gs0 97 9 7 7 LS cord-212912-t5v11gs0 97 10 ) ) -RRB- cord-212912-t5v11gs0 97 11 resp resp NNP cord-212912-t5v11gs0 97 12 . . . cord-212912-t5v11gs0 98 1 in in IN cord-212912-t5v11gs0 98 2 the the DT cord-212912-t5v11gs0 98 3 form form NN cord-212912-t5v11gs0 98 4 we -PRON- PRP cord-212912-t5v11gs0 98 5 realize realize VBP cord-212912-t5v11gs0 98 6 that that IN cord-212912-t5v11gs0 98 7 the the DT cord-212912-t5v11gs0 98 8 number number NN cord-212912-t5v11gs0 98 9 of of IN cord-212912-t5v11gs0 98 10 infected infected JJ cord-212912-t5v11gs0 98 11 people people NNS cord-212912-t5v11gs0 98 12 decreases decrease VBZ cord-212912-t5v11gs0 98 13 if if IN cord-212912-t5v11gs0 98 14 is be VBZ cord-212912-t5v11gs0 98 15 complied comply VBN cord-212912-t5v11gs0 98 16 . . . cord-212912-t5v11gs0 99 1 The the DT cord-212912-t5v11gs0 99 2 relation relation NN cord-212912-t5v11gs0 99 3 ( ( -LRB- cord-212912-t5v11gs0 99 4 11 11 CD cord-212912-t5v11gs0 99 5 ) ) -RRB- cord-212912-t5v11gs0 99 6 shows show VBZ cord-212912-t5v11gs0 99 7 that that IN cord-212912-t5v11gs0 99 8 there there EX cord-212912-t5v11gs0 99 9 are be VBP cord-212912-t5v11gs0 99 10 two two CD cord-212912-t5v11gs0 99 11 possibilities possibility NNS cord-212912-t5v11gs0 99 12 for for IN cord-212912-t5v11gs0 99 13 the the DT cord-212912-t5v11gs0 99 14 rise rise NN cord-212912-t5v11gs0 99 15 of of IN cord-212912-t5v11gs0 99 16 infected infected JJ cord-212912-t5v11gs0 99 17 people people NNS cord-212912-t5v11gs0 99 18 to to TO cord-212912-t5v11gs0 99 19 be be VB cord-212912-t5v11gs0 99 20 inverted invert VBN cord-212912-t5v11gs0 99 21 and and CC cord-212912-t5v11gs0 99 22 the the DT cord-212912-t5v11gs0 99 23 medical medical JJ cord-212912-t5v11gs0 99 24 burden burden NN cord-212912-t5v11gs0 99 25 to to TO cord-212912-t5v11gs0 99 26 be be VB cord-212912-t5v11gs0 99 27 reduced reduce VBN cord-212912-t5v11gs0 99 28 . . . cord-212912-t5v11gs0 100 1 b b LS cord-212912-t5v11gs0 100 2 ) ) -RRB- cord-212912-t5v11gs0 101 1 A a DT cord-212912-t5v11gs0 101 2 second second JJ cord-212912-t5v11gs0 101 3 possibility possibility NN cord-212912-t5v11gs0 101 4 is be VBZ cord-212912-t5v11gs0 101 5 the the DT cord-212912-t5v11gs0 101 6 reduction reduction NN cord-212912-t5v11gs0 101 7 of of IN cord-212912-t5v11gs0 101 8 the the DT cord-212912-t5v11gs0 101 9 infection infection NN cord-212912-t5v11gs0 101 10 rate rate NN cord-212912-t5v11gs0 101 11 κβ κβ NNP cord-212912-t5v11gs0 101 12 . . . cord-212912-t5v11gs0 102 1 This this DT cord-212912-t5v11gs0 102 2 can can MD cord-212912-t5v11gs0 102 3 be be VB cord-212912-t5v11gs0 102 4 achieved achieve VBN cord-212912-t5v11gs0 102 5 by by IN cord-212912-t5v11gs0 102 6 strict strict JJ cord-212912-t5v11gs0 102 7 lockdowns lockdown NNS cord-212912-t5v11gs0 102 8 , , , cord-212912-t5v11gs0 102 9 social social JJ cord-212912-t5v11gs0 102 10 distancing distancing NN cord-212912-t5v11gs0 102 11 at at IN cord-212912-t5v11gs0 102 12 appropriate appropriate JJ cord-212912-t5v11gs0 102 13 times time NNS cord-212912-t5v11gs0 102 14 , , , cord-212912-t5v11gs0 102 15 or or CC cord-212912-t5v11gs0 102 16 rigid rigid JJ cord-212912-t5v11gs0 102 17 sanitarian sanitarian NN cord-212912-t5v11gs0 102 18 moves move NNS cord-212912-t5v11gs0 102 19 . . . cord-212912-t5v11gs0 103 1 With with IN cord-212912-t5v11gs0 103 2 respect respect NN cord-212912-t5v11gs0 103 3 to to TO cord-212912-t5v11gs0 103 4 point point VB cord-212912-t5v11gs0 103 5 a a DT cord-212912-t5v11gs0 103 6 ) ) -RRB- cord-212912-t5v11gs0 103 7 it -PRON- PRP cord-212912-t5v11gs0 103 8 is be VBZ cord-212912-t5v11gs0 103 9 important important JJ cord-212912-t5v11gs0 103 10 to to TO cord-212912-t5v11gs0 103 11 note note VB cord-212912-t5v11gs0 103 12 , , , cord-212912-t5v11gs0 103 13 that that IN cord-212912-t5v11gs0 103 14 a a DT cord-212912-t5v11gs0 103 15 lot lot NN cord-212912-t5v11gs0 103 16 of of IN cord-212912-t5v11gs0 103 17 possible possible JJ cord-212912-t5v11gs0 103 18 positive positive JJ cord-212912-t5v11gs0 103 19 precautions precaution NNS cord-212912-t5v11gs0 103 20 by by IN cord-212912-t5v11gs0 103 21 physicians physician NNS cord-212912-t5v11gs0 103 22 and and CC cord-212912-t5v11gs0 103 23 politicians politician NNS cord-212912-t5v11gs0 103 24 can can MD cord-212912-t5v11gs0 103 25 not not RB cord-212912-t5v11gs0 103 26 be be VB cord-212912-t5v11gs0 103 27 cover cover NN cord-212912-t5v11gs0 103 28 by by IN cord-212912-t5v11gs0 103 29 mathematical mathematical JJ cord-212912-t5v11gs0 103 30 models model NNS cord-212912-t5v11gs0 103 31 like like IN cord-212912-t5v11gs0 103 32 the the DT cord-212912-t5v11gs0 103 33 SIR SIR NNP cord-212912-t5v11gs0 103 34 one one CD cord-212912-t5v11gs0 103 35 . . . cord-212912-t5v11gs0 104 1 Also also RB cord-212912-t5v11gs0 104 2 the the DT cord-212912-t5v11gs0 104 3 infected infected JJ cord-212912-t5v11gs0 104 4 people people NNS cord-212912-t5v11gs0 104 5 are be VBP cord-212912-t5v11gs0 104 6 not not RB cord-212912-t5v11gs0 104 7 distributed distribute VBN cord-212912-t5v11gs0 104 8 in in IN cord-212912-t5v11gs0 104 9 the the DT cord-212912-t5v11gs0 104 10 same same JJ cord-212912-t5v11gs0 104 11 way way NN cord-212912-t5v11gs0 104 12 at at IN cord-212912-t5v11gs0 104 13 all all DT cord-212912-t5v11gs0 104 14 locations location NNS cord-212912-t5v11gs0 104 15 of of IN cord-212912-t5v11gs0 104 16 a a DT cord-212912-t5v11gs0 104 17 country country NN cord-212912-t5v11gs0 104 18 . . . cord-212912-t5v11gs0 105 1 It -PRON- PRP cord-212912-t5v11gs0 105 2 is be VBZ cord-212912-t5v11gs0 105 3 also also RB cord-212912-t5v11gs0 105 4 possible possible JJ cord-212912-t5v11gs0 105 5 and and CC cord-212912-t5v11gs0 105 6 necessary necessary JJ cord-212912-t5v11gs0 105 7 to to TO cord-212912-t5v11gs0 105 8 concentrate concentrate VB cord-212912-t5v11gs0 105 9 the the DT cord-212912-t5v11gs0 105 10 modeling modeling NN cord-212912-t5v11gs0 105 11 to to IN cord-212912-t5v11gs0 105 12 hot hot JJ cord-212912-t5v11gs0 105 13 spots spot NNS cord-212912-t5v11gs0 105 14 like like IN cord-212912-t5v11gs0 105 15 New New NNP cord-212912-t5v11gs0 105 16 York York NNP cord-212912-t5v11gs0 105 17 in in IN cord-212912-t5v11gs0 105 18 the the DT cord-212912-t5v11gs0 105 19 USA USA NNP cord-212912-t5v11gs0 105 20 , , , cord-212912-t5v11gs0 105 21 Madrid Madrid NNP cord-212912-t5v11gs0 105 22 in in IN cord-212912-t5v11gs0 105 23 Spain Spain NNP cord-212912-t5v11gs0 105 24 or or CC cord-212912-t5v11gs0 105 25 Bavaria Bavaria NNP cord-212912-t5v11gs0 105 26 in in IN cord-212912-t5v11gs0 105 27 Germany Germany NNP cord-212912-t5v11gs0 105 28 to to TO cord-212912-t5v11gs0 105 29 get get VB cord-212912-t5v11gs0 105 30 a a DT cord-212912-t5v11gs0 105 31 higher high JJR cord-212912-t5v11gs0 105 32 resolution resolution NN cord-212912-t5v11gs0 105 33 of of IN cord-212912-t5v11gs0 105 34 the the DT cord-212912-t5v11gs0 105 35 pandemic pandemic JJ cord-212912-t5v11gs0 105 36 behavior behavior NN cord-212912-t5v11gs0 105 37 . . . cord-212912-t5v11gs0 106 1 The the DT cord-212912-t5v11gs0 106 2 results result NNS cord-212912-t5v11gs0 106 3 are be VBP cord-212912-t5v11gs0 106 4 pessimistic pessimistic JJ cord-212912-t5v11gs0 106 5 in in IN cord-212912-t5v11gs0 106 6 total total NN cord-212912-t5v11gs0 106 7 with with IN cord-212912-t5v11gs0 106 8 respect respect NN cord-212912-t5v11gs0 106 9 to to IN cord-212912-t5v11gs0 106 10 a a DT cord-212912-t5v11gs0 106 11 successful successful JJ cord-212912-t5v11gs0 106 12 fight fight NN cord-212912-t5v11gs0 106 13 against against IN cord-212912-t5v11gs0 106 14 the the DT cord-212912-t5v11gs0 106 15 COVID-19-virus COVID-19-virus NNP cord-212912-t5v11gs0 106 16 . . . cord-212912-t5v11gs0 107 1 Hopefully hopefully RB cord-212912-t5v11gs0 107 2 the the DT cord-212912-t5v11gs0 107 3 reality reality NN cord-212912-t5v11gs0 107 4 is be VBZ cord-212912-t5v11gs0 107 5 a a DT cord-212912-t5v11gs0 107 6 bit bit NN cord-212912-t5v11gs0 107 7 more more RBR cord-212912-t5v11gs0 107 8 merciful merciful JJ cord-212912-t5v11gs0 107 9 than than IN cord-212912-t5v11gs0 107 10 the the DT cord-212912-t5v11gs0 107 11 mathematical mathematical JJ cord-212912-t5v11gs0 107 12 model model NN cord-212912-t5v11gs0 107 13 . . . cord-212912-t5v11gs0 108 1 But but CC cord-212912-t5v11gs0 108 2 we -PRON- PRP cord-212912-t5v11gs0 108 3 rather rather RB cord-212912-t5v11gs0 108 4 err err VBP cord-212912-t5v11gs0 108 5 on on IN cord-212912-t5v11gs0 108 6 the the DT cord-212912-t5v11gs0 108 7 pessimistic pessimistic JJ cord-212912-t5v11gs0 108 8 side side NN cord-212912-t5v11gs0 108 9 and and CC cord-212912-t5v11gs0 108 10 be be VB cord-212912-t5v11gs0 108 11 surprised surprise VBN cord-212912-t5v11gs0 108 12 by by IN cord-212912-t5v11gs0 108 13 more more JJR cord-212912-t5v11gs0 108 14 benign benign JJ cord-212912-t5v11gs0 108 15 developments development NNS cord-212912-t5v11gs0 108 16 . . . cord-212912-t5v11gs0 109 1 Note note VB cord-212912-t5v11gs0 109 2 again again RB cord-212912-t5v11gs0 109 3 that that IN cord-212912-t5v11gs0 109 4 the the DT cord-212912-t5v11gs0 109 5 parameters parameter NNS cord-212912-t5v11gs0 109 6 β β NN cord-212912-t5v11gs0 109 7 and and CC cord-212912-t5v11gs0 109 8 κ κ NNP cord-212912-t5v11gs0 109 9 are be VBP cord-212912-t5v11gs0 109 10 guessed guess VBN cord-212912-t5v11gs0 109 11 very very RB cord-212912-t5v11gs0 109 12 roughly roughly RB cord-212912-t5v11gs0 109 13 . . . cord-212912-t5v11gs0 110 1 Also also RB cord-212912-t5v11gs0 110 2 , , , cord-212912-t5v11gs0 110 3 the the DT cord-212912-t5v11gs0 110 4 percentage percentage NN cord-212912-t5v11gs0 110 5 α α NN cord-212912-t5v11gs0 110 6 of of IN cord-212912-t5v11gs0 110 7 the the DT cord-212912-t5v11gs0 110 8 group group NN cord-212912-t5v11gs0 110 9 of of IN cord-212912-t5v11gs0 110 10 high high JJ cord-212912-t5v11gs0 110 11 - - HYPH cord-212912-t5v11gs0 110 12 risk risk NN cord-212912-t5v11gs0 110 13 people people NNS cord-212912-t5v11gs0 110 14 is be VBZ cord-212912-t5v11gs0 110 15 possibly possibly RB cord-212912-t5v11gs0 110 16 overestimated overestimate VBN cord-212912-t5v11gs0 110 17 . . . cord-212912-t5v11gs0 111 1 Depending depend VBG cord-212912-t5v11gs0 111 2 on on IN cord-212912-t5v11gs0 111 3 the the DT cord-212912-t5v11gs0 111 4 capabilities capability NNS cord-212912-t5v11gs0 111 5 and and CC cord-212912-t5v11gs0 111 6 performance performance NN cord-212912-t5v11gs0 111 7 of of IN cord-212912-t5v11gs0 111 8 the the DT cord-212912-t5v11gs0 111 9 health health NN cord-212912-t5v11gs0 111 10 system system NN cord-212912-t5v11gs0 111 11 of of IN cord-212912-t5v11gs0 111 12 the the DT cord-212912-t5v11gs0 111 13 respective respective JJ cord-212912-t5v11gs0 111 14 countries country NNS cord-212912-t5v11gs0 111 15 , , , cord-212912-t5v11gs0 111 16 those those DT cord-212912-t5v11gs0 111 17 parameters parameter NNS cord-212912-t5v11gs0 111 18 may may MD cord-212912-t5v11gs0 111 19 look look VB cord-212912-t5v11gs0 111 20 different different JJ cord-212912-t5v11gs0 111 21 . . . cord-212912-t5v11gs0 112 1 The the DT cord-212912-t5v11gs0 112 2 interpretation interpretation NN cord-212912-t5v11gs0 112 3 of of IN cord-212912-t5v11gs0 112 4 κ κ NN cord-212912-t5v11gs0 112 5 as as IN cord-212912-t5v11gs0 112 6 a a DT cord-212912-t5v11gs0 112 7 random random JJ cord-212912-t5v11gs0 112 8 variable variable NN cord-212912-t5v11gs0 112 9 is be VBZ cord-212912-t5v11gs0 112 10 thinkable thinkable JJ cord-212912-t5v11gs0 112 11 , , , cord-212912-t5v11gs0 112 12 too too RB cord-212912-t5v11gs0 112 13 . . . cord-212912-t5v11gs0 113 1 At at IN cord-212912-t5v11gs0 113 2 the the DT cord-212912-t5v11gs0 113 3 end end NN cord-212912-t5v11gs0 113 4 all all DT cord-212912-t5v11gs0 113 5 precautions precaution NNS cord-212912-t5v11gs0 113 6 ( ( -LRB- cord-212912-t5v11gs0 113 7 for for IN cord-212912-t5v11gs0 113 8 example example NN cord-212912-t5v11gs0 113 9 social social JJ cord-212912-t5v11gs0 113 10 distancing distancing NN cord-212912-t5v11gs0 113 11 , , , cord-212912-t5v11gs0 113 12 isolation isolation NN cord-212912-t5v11gs0 113 13 of of IN cord-212912-t5v11gs0 113 14 high high JJ cord-212912-t5v11gs0 113 15 - - HYPH cord-212912-t5v11gs0 113 16 risk risk NN cord-212912-t5v11gs0 113 17 people people NNS cord-212912-t5v11gs0 113 18 ) ) -RRB- cord-212912-t5v11gs0 113 19 lead lead VBP cord-212912-t5v11gs0 113 20 to to IN cord-212912-t5v11gs0 113 21 a a DT cord-212912-t5v11gs0 113 22 prolongation prolongation NN cord-212912-t5v11gs0 113 23 of of IN cord-212912-t5v11gs0 113 24 the the DT cord-212912-t5v11gs0 113 25 pandemic pandemic JJ cord-212912-t5v11gs0 113 26 period period NN cord-212912-t5v11gs0 113 27 with with IN cord-212912-t5v11gs0 113 28 respect respect NN cord-212912-t5v11gs0 113 29 to to IN cord-212912-t5v11gs0 113 30 the the DT cord-212912-t5v11gs0 113 31 awaited awaited JJ cord-212912-t5v11gs0 113 32 and and CC cord-212912-t5v11gs0 113 33 necessary necessary JJ cord-212912-t5v11gs0 113 34 herd herd NN cord-212912-t5v11gs0 113 35 immunity immunity NN cord-212912-t5v11gs0 113 36 . . . cord-212912-t5v11gs0 114 1 But but CC cord-212912-t5v11gs0 114 2 the the DT cord-212912-t5v11gs0 114 3 decrease decrease NN cord-212912-t5v11gs0 114 4 of of IN cord-212912-t5v11gs0 114 5 the the DT cord-212912-t5v11gs0 114 6 peak peak NN cord-212912-t5v11gs0 114 7 of of IN cord-212912-t5v11gs0 114 8 the the DT cord-212912-t5v11gs0 114 9 curve curve NN cord-212912-t5v11gs0 114 10 of of IN cord-212912-t5v11gs0 114 11 infected infected JJ cord-212912-t5v11gs0 114 12 people people NNS cord-212912-t5v11gs0 114 13 generates generate VBZ cord-212912-t5v11gs0 114 14 time time NN cord-212912-t5v11gs0 114 15 for for IN cord-212912-t5v11gs0 114 16 the the DT cord-212912-t5v11gs0 114 17 improvement improvement NN cord-212912-t5v11gs0 114 18 of of IN cord-212912-t5v11gs0 114 19 the the DT cord-212912-t5v11gs0 114 20 health health NN cord-212912-t5v11gs0 114 21 systems system NNS cord-212912-t5v11gs0 114 22 and and CC cord-212912-t5v11gs0 114 23 heights height NNS cord-212912-t5v11gs0 114 24 the the DT cord-212912-t5v11gs0 114 25 possibilities possibility NNS cord-212912-t5v11gs0 114 26 to to TO cord-212912-t5v11gs0 114 27 save save VB cord-212912-t5v11gs0 114 28 life life NN cord-212912-t5v11gs0 114 29 . . . cord-212912-t5v11gs0 114 30 _SP cord-212912-t5v11gs0 115 1 A a DT cord-212912-t5v11gs0 115 2 contribution contribution NN cord-212912-t5v11gs0 115 3 to to IN cord-212912-t5v11gs0 115 4 the the DT cord-212912-t5v11gs0 115 5 mathematical mathematical JJ cord-212912-t5v11gs0 115 6 theory theory NN cord-212912-t5v11gs0 115 7 of of IN cord-212912-t5v11gs0 115 8 epidemics epidemic NNS cord-212912-t5v11gs0 115 9 Numerics Numerics NNPS cord-212912-t5v11gs0 115 10 for for IN cord-212912-t5v11gs0 115 11 engineers engineer NNS cord-212912-t5v11gs0 115 12 , , , cord-212912-t5v11gs0 115 13 physicists physicist NNS cord-212912-t5v11gs0 115 14 and and CC cord-212912-t5v11gs0 115 15 computer computer NN cord-212912-t5v11gs0 115 16 scientists scientist NNS cord-212912-t5v11gs0 116 1 A a DT cord-212912-t5v11gs0 116 2 Contribution contribution NN cord-212912-t5v11gs0 116 3 to to IN cord-212912-t5v11gs0 116 4 the the DT cord-212912-t5v11gs0 116 5 Mathematical Mathematical NNP cord-212912-t5v11gs0 116 6 Modeling Modeling NNP cord-212912-t5v11gs0 116 7 of of IN cord-212912-t5v11gs0 116 8 the the DT cord-212912-t5v11gs0 116 9 Corona Corona NNP cord-212912-t5v11gs0 116 10 / / SYM cord-212912-t5v11gs0 116 11 COVID-19 COVID-19 NNP cord-212912-t5v11gs0 116 12 Pandemic Pandemic NNP cord-212912-t5v11gs0 116 13 . . . cord-212912-t5v11gs0 117 1 medRxiv medRxiv NNS cord-212912-t5v11gs0 117 2 Understandig Understandig NNP cord-212912-t5v11gs0 117 3 the the DT cord-212912-t5v11gs0 117 4 present present JJ cord-212912-t5v11gs0 117 5 status status NN cord-212912-t5v11gs0 117 6 and and CC cord-212912-t5v11gs0 117 7 forcasting forcasting NN cord-212912-t5v11gs0 117 8 of of IN cord-212912-t5v11gs0 117 9 COVID-19 COVID-19 NNP cord-212912-t5v11gs0 117 10 in in IN cord-212912-t5v11gs0 117 11 Wuhan Wuhan NNP cord-212912-t5v11gs0 117 12 . . . cord-212912-t5v11gs0 118 1 medRxiv medRxiv NNS