id sid tid token lemma pos cord-221669-uokr4mjq 1 1 key key NN cord-221669-uokr4mjq 1 2 : : : cord-221669-uokr4mjq 2 1 cord-221669-uokr4mjq cord-221669-uokr4mjq NNP cord-221669-uokr4mjq 2 2 authors author NNS cord-221669-uokr4mjq 2 3 : : : cord-221669-uokr4mjq 2 4 Barnes Barnes NNP cord-221669-uokr4mjq 2 5 , , , cord-221669-uokr4mjq 2 6 T. T. NNP cord-221669-uokr4mjq 2 7 title title NN cord-221669-uokr4mjq 2 8 : : : cord-221669-uokr4mjq 2 9 The the DT cord-221669-uokr4mjq 2 10 SHIR SHIR NNP cord-221669-uokr4mjq 2 11 Model model NN cord-221669-uokr4mjq 2 12 : : : cord-221669-uokr4mjq 3 1 Realistic realistic JJ cord-221669-uokr4mjq 3 2 Fits fit NNS cord-221669-uokr4mjq 3 3 to to TO cord-221669-uokr4mjq 3 4 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 3 5 Case Case NNP cord-221669-uokr4mjq 3 6 Numbers Numbers NNP cord-221669-uokr4mjq 3 7 date date NN cord-221669-uokr4mjq 4 1 : : : cord-221669-uokr4mjq 4 2 2020 2020 CD cord-221669-uokr4mjq 4 3 - - HYPH cord-221669-uokr4mjq 4 4 07 07 CD cord-221669-uokr4mjq 4 5 - - HYPH cord-221669-uokr4mjq 4 6 28 28 CD cord-221669-uokr4mjq 4 7 journal journal NN cord-221669-uokr4mjq 4 8 : : : cord-221669-uokr4mjq 5 1 nan nan NNP cord-221669-uokr4mjq 5 2 DOI DOI NNP cord-221669-uokr4mjq 5 3 : : : cord-221669-uokr4mjq 5 4 nan nan NNP cord-221669-uokr4mjq 5 5 sha sha NNP cord-221669-uokr4mjq 5 6 : : : cord-221669-uokr4mjq 5 7 8c199d41d5ae73a31365f6dc479776d7e13c85fa 8c199d41d5ae73a31365f6dc479776d7e13c85fa CD cord-221669-uokr4mjq 5 8 doc_id doc_id CD cord-221669-uokr4mjq 5 9 : : : cord-221669-uokr4mjq 6 1 221669 221669 CD cord-221669-uokr4mjq 6 2 cord_uid cord_uid NNS cord-221669-uokr4mjq 6 3 : : : cord-221669-uokr4mjq 6 4 uokr4mjq uokr4mjq JJ cord-221669-uokr4mjq 7 1 We -PRON- PRP cord-221669-uokr4mjq 7 2 consider consider VBP cord-221669-uokr4mjq 7 3 a a DT cord-221669-uokr4mjq 7 4 global global JJ cord-221669-uokr4mjq 7 5 ( ( -LRB- cord-221669-uokr4mjq 7 6 location location NN cord-221669-uokr4mjq 7 7 independent independent JJ cord-221669-uokr4mjq 7 8 ) ) -RRB- cord-221669-uokr4mjq 7 9 model model NN cord-221669-uokr4mjq 7 10 of of IN cord-221669-uokr4mjq 7 11 pandemic pandemic JJ cord-221669-uokr4mjq 7 12 growth growth NN cord-221669-uokr4mjq 7 13 which which WDT cord-221669-uokr4mjq 7 14 generalizes generalize VBZ cord-221669-uokr4mjq 7 15 the the DT cord-221669-uokr4mjq 7 16 SIR SIR NNP cord-221669-uokr4mjq 7 17 model model NN cord-221669-uokr4mjq 7 18 to to TO cord-221669-uokr4mjq 7 19 accommodate accommodate VB cord-221669-uokr4mjq 7 20 important important JJ cord-221669-uokr4mjq 7 21 features feature NNS cord-221669-uokr4mjq 7 22 of of IN cord-221669-uokr4mjq 7 23 the the DT cord-221669-uokr4mjq 7 24 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 7 25 pandemic pandemic NN cord-221669-uokr4mjq 7 26 , , , cord-221669-uokr4mjq 7 27 notably notably RB cord-221669-uokr4mjq 7 28 the the DT cord-221669-uokr4mjq 7 29 implementation implementation NN cord-221669-uokr4mjq 7 30 of of IN cord-221669-uokr4mjq 7 31 pandemic pandemic JJ cord-221669-uokr4mjq 7 32 reduction reduction NN cord-221669-uokr4mjq 7 33 measures measure NNS cord-221669-uokr4mjq 7 34 . . . cord-221669-uokr4mjq 8 1 This"SHIR"model this"shir"model NN cord-221669-uokr4mjq 8 2 is be VBZ cord-221669-uokr4mjq 8 3 applied apply VBN cord-221669-uokr4mjq 8 4 to to IN cord-221669-uokr4mjq 8 5 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 8 6 data datum NNS cord-221669-uokr4mjq 8 7 , , , cord-221669-uokr4mjq 8 8 and and CC cord-221669-uokr4mjq 8 9 shows show VBZ cord-221669-uokr4mjq 8 10 promise promise VBP cord-221669-uokr4mjq 8 11 as as IN cord-221669-uokr4mjq 8 12 a a DT cord-221669-uokr4mjq 8 13 simple simple JJ cord-221669-uokr4mjq 8 14 , , , cord-221669-uokr4mjq 8 15 tractable tractable JJ cord-221669-uokr4mjq 8 16 formalism formalism NN cord-221669-uokr4mjq 8 17 with with IN cord-221669-uokr4mjq 8 18 few few JJ cord-221669-uokr4mjq 8 19 parameters parameter NNS cord-221669-uokr4mjq 8 20 that that WDT cord-221669-uokr4mjq 8 21 can can MD cord-221669-uokr4mjq 8 22 be be VB cord-221669-uokr4mjq 8 23 used use VBN cord-221669-uokr4mjq 8 24 to to TO cord-221669-uokr4mjq 8 25 model model VB cord-221669-uokr4mjq 8 26 pandemic pandemic NN cord-221669-uokr4mjq 8 27 case case NN cord-221669-uokr4mjq 8 28 numbers number NNS cord-221669-uokr4mjq 8 29 . . . cord-221669-uokr4mjq 9 1 As as IN cord-221669-uokr4mjq 9 2 an an DT cord-221669-uokr4mjq 9 3 example example NN cord-221669-uokr4mjq 9 4 we -PRON- PRP cord-221669-uokr4mjq 9 5 show show VBP cord-221669-uokr4mjq 9 6 that that IN cord-221669-uokr4mjq 9 7 the the DT cord-221669-uokr4mjq 9 8 average average JJ cord-221669-uokr4mjq 9 9 time time NN cord-221669-uokr4mjq 9 10 dependence dependence NN cord-221669-uokr4mjq 9 11 of of IN cord-221669-uokr4mjq 9 12 new new JJ cord-221669-uokr4mjq 9 13 COVID-19 covid-19 JJ cord-221669-uokr4mjq 9 14 cases case NNS cord-221669-uokr4mjq 9 15 per per IN cord-221669-uokr4mjq 9 16 day day NN cord-221669-uokr4mjq 9 17 from from IN cord-221669-uokr4mjq 9 18 15 15 CD cord-221669-uokr4mjq 9 19 Central central JJ cord-221669-uokr4mjq 9 20 and and CC cord-221669-uokr4mjq 9 21 Western western JJ cord-221669-uokr4mjq 9 22 European european JJ cord-221669-uokr4mjq 9 23 countries country NNS cord-221669-uokr4mjq 9 24 is be VBZ cord-221669-uokr4mjq 9 25 in in IN cord-221669-uokr4mjq 9 26 good good JJ cord-221669-uokr4mjq 9 27 agreement agreement NN cord-221669-uokr4mjq 9 28 with with IN cord-221669-uokr4mjq 9 29 the the DT cord-221669-uokr4mjq 9 30 analytic analytic JJ cord-221669-uokr4mjq 9 31 , , , cord-221669-uokr4mjq 9 32 parameter parameter NN cord-221669-uokr4mjq 9 33 - - HYPH cord-221669-uokr4mjq 9 34 free free JJ cord-221669-uokr4mjq 9 35 prediction prediction NN cord-221669-uokr4mjq 9 36 of of IN cord-221669-uokr4mjq 9 37 the the DT cord-221669-uokr4mjq 9 38 model model NN cord-221669-uokr4mjq 10 1 In in IN cord-221669-uokr4mjq 10 2 the the DT cord-221669-uokr4mjq 10 3 models model NNS cord-221669-uokr4mjq 10 4 typically typically RB cord-221669-uokr4mjq 10 5 employed employ VBN cord-221669-uokr4mjq 10 6 in in IN cord-221669-uokr4mjq 10 7 epidemiology epidemiology NN cord-221669-uokr4mjq 10 8 to to TO cord-221669-uokr4mjq 10 9 follow follow VB cord-221669-uokr4mjq 10 10 the the DT cord-221669-uokr4mjq 10 11 evolution evolution NN cord-221669-uokr4mjq 10 12 of of IN cord-221669-uokr4mjq 10 13 a a DT cord-221669-uokr4mjq 10 14 pandemic pandemic NN cord-221669-uokr4mjq 10 15 [ [ -LRB- cord-221669-uokr4mjq 10 16 1 1 CD cord-221669-uokr4mjq 10 17 ] ] -RRB- cord-221669-uokr4mjq 10 18 , , , cord-221669-uokr4mjq 10 19 one one PRP cord-221669-uokr4mjq 10 20 begins begin VBZ cord-221669-uokr4mjq 10 21 by by IN cord-221669-uokr4mjq 10 22 partitioning partition VBG cord-221669-uokr4mjq 10 23 a a DT cord-221669-uokr4mjq 10 24 total total JJ cord-221669-uokr4mjq 10 25 population population NN cord-221669-uokr4mjq 10 26 of of IN cord-221669-uokr4mjq 10 27 N n CD cord-221669-uokr4mjq 10 28 individuals individual NNS cord-221669-uokr4mjq 10 29 into into IN cord-221669-uokr4mjq 10 30 a a DT cord-221669-uokr4mjq 10 31 complete complete JJ cord-221669-uokr4mjq 10 32 set set NN cord-221669-uokr4mjq 10 33 of of IN cord-221669-uokr4mjq 10 34 disjoint disjoint JJ cord-221669-uokr4mjq 10 35 subsets subset NNS cord-221669-uokr4mjq 10 36 , , , cord-221669-uokr4mjq 10 37 according accord VBG cord-221669-uokr4mjq 10 38 to to IN cord-221669-uokr4mjq 10 39 their -PRON- PRP$ cord-221669-uokr4mjq 10 40 medical medical JJ cord-221669-uokr4mjq 10 41 histories history NNS cord-221669-uokr4mjq 10 42 . . . cord-221669-uokr4mjq 11 1 The the DT cord-221669-uokr4mjq 11 2 simplest simple JJS cord-221669-uokr4mjq 11 3 models model NNS cord-221669-uokr4mjq 11 4 of of IN cord-221669-uokr4mjq 11 5 this this DT cord-221669-uokr4mjq 11 6 type type NN cord-221669-uokr4mjq 11 7 have have VBP cord-221669-uokr4mjq 11 8 only only RB cord-221669-uokr4mjq 11 9 a a DT cord-221669-uokr4mjq 11 10 few few JJ cord-221669-uokr4mjq 11 11 categories category NNS cord-221669-uokr4mjq 11 12 , , , cord-221669-uokr4mjq 11 13 such such JJ cord-221669-uokr4mjq 11 14 as as IN cord-221669-uokr4mjq 11 15 1 1 CD cord-221669-uokr4mjq 11 16 ) ) -RRB- cord-221669-uokr4mjq 12 1 the the DT cord-221669-uokr4mjq 12 2 susceptible susceptible JJ cord-221669-uokr4mjq 12 3 but but CC cord-221669-uokr4mjq 12 4 as as IN cord-221669-uokr4mjq 12 5 yet yet RB cord-221669-uokr4mjq 12 6 uninfected uninfected JJ cord-221669-uokr4mjq 12 7 population population NN cord-221669-uokr4mjq 12 8 S s NN cord-221669-uokr4mjq 12 9 , , , cord-221669-uokr4mjq 12 10 2 2 CD cord-221669-uokr4mjq 12 11 ) ) -RRB- cord-221669-uokr4mjq 13 1 the the DT cord-221669-uokr4mjq 13 2 infected infected JJ cord-221669-uokr4mjq 13 3 but but CC cord-221669-uokr4mjq 13 4 not not RB cord-221669-uokr4mjq 13 5 recovered recover VBD cord-221669-uokr4mjq 13 6 population population NN cord-221669-uokr4mjq 14 1 I -PRON- PRP cord-221669-uokr4mjq 14 2 , , , cord-221669-uokr4mjq 14 3 who who WP cord-221669-uokr4mjq 14 4 can can MD cord-221669-uokr4mjq 14 5 infect infect VB cord-221669-uokr4mjq 14 6 S S NNP cord-221669-uokr4mjq 14 7 , , , cord-221669-uokr4mjq 14 8 and and CC cord-221669-uokr4mjq 14 9 3 3 LS cord-221669-uokr4mjq 14 10 ) ) -RRB- cord-221669-uokr4mjq 14 11 the the DT cord-221669-uokr4mjq 14 12 recovered recover VBN cord-221669-uokr4mjq 14 13 population population NN cord-221669-uokr4mjq 14 14 R r NN cord-221669-uokr4mjq 14 15 , , , cord-221669-uokr4mjq 14 16 who who WP cord-221669-uokr4mjq 14 17 can can MD cord-221669-uokr4mjq 14 18 no no RB cord-221669-uokr4mjq 14 19 longer longer RB cord-221669-uokr4mjq 14 20 infect infect VB cord-221669-uokr4mjq 14 21 S S NNP cord-221669-uokr4mjq 14 22 , , , cord-221669-uokr4mjq 14 23 and and CC cord-221669-uokr4mjq 14 24 can can MD cord-221669-uokr4mjq 14 25 themselves -PRON- PRP cord-221669-uokr4mjq 14 26 no no RB cord-221669-uokr4mjq 14 27 longer longer RB cord-221669-uokr4mjq 14 28 be be VB cord-221669-uokr4mjq 14 29 infected infect VBN cord-221669-uokr4mjq 14 30 . . . cord-221669-uokr4mjq 15 1 First first JJ cord-221669-uokr4mjq 15 2 - - HYPH cord-221669-uokr4mjq 15 3 order order NN cord-221669-uokr4mjq 15 4 ordinary ordinary JJ cord-221669-uokr4mjq 15 5 differential differential JJ cord-221669-uokr4mjq 15 6 equations equation NNS cord-221669-uokr4mjq 15 7 ( ( -LRB- cord-221669-uokr4mjq 15 8 ODEs ode NNS cord-221669-uokr4mjq 15 9 ) ) -RRB- cord-221669-uokr4mjq 15 10 in in IN cord-221669-uokr4mjq 15 11 time time NN cord-221669-uokr4mjq 15 12 are be VBP cord-221669-uokr4mjq 15 13 assumed assume VBN cord-221669-uokr4mjq 15 14 to to TO cord-221669-uokr4mjq 15 15 describe describe VB cord-221669-uokr4mjq 15 16 the the DT cord-221669-uokr4mjq 15 17 coupling coupling NN cord-221669-uokr4mjq 15 18 between between IN cord-221669-uokr4mjq 15 19 these these DT cord-221669-uokr4mjq 15 20 groups group NNS cord-221669-uokr4mjq 15 21 . . . cord-221669-uokr4mjq 16 1 Once once IN cord-221669-uokr4mjq 16 2 the the DT cord-221669-uokr4mjq 16 3 appropriate appropriate JJ cord-221669-uokr4mjq 16 4 initial initial JJ cord-221669-uokr4mjq 16 5 conditions condition NNS cord-221669-uokr4mjq 16 6 are be VBP cord-221669-uokr4mjq 16 7 specified specify VBN cord-221669-uokr4mjq 16 8 , , , cord-221669-uokr4mjq 16 9 these these DT cord-221669-uokr4mjq 16 10 ODEs ode NNS cord-221669-uokr4mjq 16 11 can can MD cord-221669-uokr4mjq 16 12 be be VB cord-221669-uokr4mjq 16 13 integrated integrate VBN cord-221669-uokr4mjq 16 14 , , , cord-221669-uokr4mjq 16 15 which which WDT cord-221669-uokr4mjq 16 16 gives give VBZ cord-221669-uokr4mjq 16 17 predictions prediction NNS cord-221669-uokr4mjq 16 18 for for IN cord-221669-uokr4mjq 16 19 the the DT cord-221669-uokr4mjq 16 20 subsequent subsequent JJ cord-221669-uokr4mjq 16 21 evolution evolution NN cord-221669-uokr4mjq 16 22 of of IN cord-221669-uokr4mjq 16 23 the the DT cord-221669-uokr4mjq 16 24 group group NN cord-221669-uokr4mjq 16 25 populations population NNS cord-221669-uokr4mjq 16 26 . . . cord-221669-uokr4mjq 17 1 In in IN cord-221669-uokr4mjq 17 2 this this DT cord-221669-uokr4mjq 17 3 example example NN cord-221669-uokr4mjq 17 4 , , , cord-221669-uokr4mjq 17 5 given give VBN cord-221669-uokr4mjq 17 6 constant constant JJ cord-221669-uokr4mjq 17 7 rates rate NNS cord-221669-uokr4mjq 17 8 { { -LRB- cord-221669-uokr4mjq 17 9 r r NN cord-221669-uokr4mjq 17 10 ij ij NN cord-221669-uokr4mjq 17 11 } } -RRB- cord-221669-uokr4mjq 17 12 for for IN cord-221669-uokr4mjq 17 13 the the DT cord-221669-uokr4mjq 17 14 two two CD cord-221669-uokr4mjq 17 15 assumed assume VBN cord-221669-uokr4mjq 17 16 transitions transition NNS cord-221669-uokr4mjq 17 17 , , , cord-221669-uokr4mjq 17 18 S s NN cord-221669-uokr4mjq 17 19 → → SYM cord-221669-uokr4mjq 17 20 I i NN cord-221669-uokr4mjq 17 21 and and CC cord-221669-uokr4mjq 17 22 I -PRON- PRP cord-221669-uokr4mjq 17 23 → → WDT cord-221669-uokr4mjq 17 24 R r NN cord-221669-uokr4mjq 17 25 , , , cord-221669-uokr4mjq 17 26 the the DT cord-221669-uokr4mjq 17 27 resulting result VBG cord-221669-uokr4mjq 17 28 ODEs ode NNS cord-221669-uokr4mjq 17 29 for for IN cord-221669-uokr4mjq 17 30 this this DT cord-221669-uokr4mjq 17 31 simple simple JJ cord-221669-uokr4mjq 17 32 " " `` cord-221669-uokr4mjq 17 33 SIR SIR NNP cord-221669-uokr4mjq 17 34 " " '' cord-221669-uokr4mjq 17 35 model model NN cord-221669-uokr4mjq 17 36 are be VBP cord-221669-uokr4mjq 18 1 dS dS NNP cord-221669-uokr4mjq 18 2 / / SYM cord-221669-uokr4mjq 18 3 dt dt NN cord-221669-uokr4mjq 18 4 = = FW cord-221669-uokr4mjq 18 5 −r −r NNP cord-221669-uokr4mjq 18 6 S→I s→i RB cord-221669-uokr4mjq 19 1 S S NNP cord-221669-uokr4mjq 19 2 dI di NN cord-221669-uokr4mjq 20 1 /dt /dt NFP cord-221669-uokr4mjq 20 2 = = NFP cord-221669-uokr4mjq 20 3 + + CC cord-221669-uokr4mjq 20 4 r r NN cord-221669-uokr4mjq 21 1 S→I S→I NNP cord-221669-uokr4mjq 21 2 S S NNP cord-221669-uokr4mjq 22 1 − − NNP cord-221669-uokr4mjq 23 1 r r LS cord-221669-uokr4mjq 24 1 I→R I→R NNP cord-221669-uokr4mjq 25 1 I -PRON- PRP cord-221669-uokr4mjq 25 2 dR dR NNP cord-221669-uokr4mjq 25 3 / / SYM cord-221669-uokr4mjq 25 4 dt dt NN cord-221669-uokr4mjq 25 5 = = NNP cord-221669-uokr4mjq 26 1 + + CC cord-221669-uokr4mjq 27 1 r r LS cord-221669-uokr4mjq 28 1 I→R I→R NNP cord-221669-uokr4mjq 29 1 I -PRON- PRP cord-221669-uokr4mjq 30 1 We -PRON- PRP cord-221669-uokr4mjq 30 2 will will MD cord-221669-uokr4mjq 30 3 refer refer VB cord-221669-uokr4mjq 30 4 to to IN cord-221669-uokr4mjq 30 5 these these DT cord-221669-uokr4mjq 30 6 two two CD cord-221669-uokr4mjq 30 7 rate rate NN cord-221669-uokr4mjq 30 8 coefficients coefficient NNS cord-221669-uokr4mjq 30 9 as as IN cord-221669-uokr4mjq 30 10 r r NNP cord-221669-uokr4mjq 30 11 S→I s→i RB cord-221669-uokr4mjq 30 12 = = . cord-221669-uokr4mjq 31 1 r r LS cord-221669-uokr4mjq 31 2 I i NN cord-221669-uokr4mjq 31 3 and and CC cord-221669-uokr4mjq 31 4 r r LS cord-221669-uokr4mjq 31 5 I→R I→R NNP cord-221669-uokr4mjq 31 6 = = SYM cord-221669-uokr4mjq 31 7 r r NN cord-221669-uokr4mjq 31 8 R r NN cord-221669-uokr4mjq 31 9 . . . cord-221669-uokr4mjq 32 1 On on IN cord-221669-uokr4mjq 32 2 adding add VBG cord-221669-uokr4mjq 32 3 these these DT cord-221669-uokr4mjq 32 4 equations equation NNS cord-221669-uokr4mjq 32 5 we -PRON- PRP cord-221669-uokr4mjq 32 6 find find VBP cord-221669-uokr4mjq 32 7 that that IN cord-221669-uokr4mjq 32 8 so so RB cord-221669-uokr4mjq 32 9 the the DT cord-221669-uokr4mjq 32 10 total total JJ cord-221669-uokr4mjq 32 11 number number NN cord-221669-uokr4mjq 32 12 of of IN cord-221669-uokr4mjq 32 13 individuals individual NNS cord-221669-uokr4mjq 32 14 is be VBZ cord-221669-uokr4mjq 32 15 a a DT cord-221669-uokr4mjq 32 16 constant constant JJ cord-221669-uokr4mjq 32 17 , , , cord-221669-uokr4mjq 32 18 N n CD cord-221669-uokr4mjq 32 19 0 0 CD cord-221669-uokr4mjq 32 20 . . . cord-221669-uokr4mjq 33 1 Since since IN cord-221669-uokr4mjq 33 2 these these DT cord-221669-uokr4mjq 33 3 equations equation NNS cord-221669-uokr4mjq 33 4 are be VBP cord-221669-uokr4mjq 33 5 linear linear JJ cord-221669-uokr4mjq 33 6 and and CC cord-221669-uokr4mjq 33 7 homogeneous homogeneous JJ cord-221669-uokr4mjq 33 8 , , , cord-221669-uokr4mjq 33 9 it -PRON- PRP cord-221669-uokr4mjq 33 10 is be VBZ cord-221669-uokr4mjq 33 11 convenient convenient JJ cord-221669-uokr4mjq 33 12 to to TO cord-221669-uokr4mjq 33 13 divide divide VB cord-221669-uokr4mjq 33 14 by by IN cord-221669-uokr4mjq 33 15 N n CD cord-221669-uokr4mjq 33 16 0 0 CD cord-221669-uokr4mjq 33 17 and and CC cord-221669-uokr4mjq 33 18 solve solve VB cord-221669-uokr4mjq 33 19 for for IN cord-221669-uokr4mjq 33 20 the the DT cord-221669-uokr4mjq 33 21 fraction fraction NN cord-221669-uokr4mjq 33 22 of of IN cord-221669-uokr4mjq 33 23 individuals individual NNS cord-221669-uokr4mjq 33 24 in in IN cord-221669-uokr4mjq 33 25 each each DT cord-221669-uokr4mjq 33 26 category category NN cord-221669-uokr4mjq 33 27 , , , cord-221669-uokr4mjq 33 28 such such JJ cord-221669-uokr4mjq 33 29 as as IN cord-221669-uokr4mjq 33 30 f f NNP cord-221669-uokr4mjq 33 31 S S NNP cord-221669-uokr4mjq 33 32 = = SYM cord-221669-uokr4mjq 33 33 S S NNP cord-221669-uokr4mjq 33 34 / / SYM cord-221669-uokr4mjq 33 35 N n NN cord-221669-uokr4mjq 33 36 0 0 CD cord-221669-uokr4mjq 33 37 . . . cord-221669-uokr4mjq 34 1 R r NN cord-221669-uokr4mjq 34 2 or or CC cord-221669-uokr4mjq 34 3 * * NFP cord-221669-uokr4mjq 34 4 Email email NN cord-221669-uokr4mjq 34 5 : : : cord-221669-uokr4mjq 35 1 tbarnes@utk.edu tbarnes@utk.edu NN cord-221669-uokr4mjq 35 2 f f NN cord-221669-uokr4mjq 35 3 R r NN cord-221669-uokr4mjq 35 4 can can MD cord-221669-uokr4mjq 35 5 be be VB cord-221669-uokr4mjq 35 6 inferred infer VBN cord-221669-uokr4mjq 35 7 from from IN cord-221669-uokr4mjq 35 8 the the DT cord-221669-uokr4mjq 35 9 other other JJ cord-221669-uokr4mjq 35 10 two two CD cord-221669-uokr4mjq 35 11 populations population NNS cord-221669-uokr4mjq 35 12 , , , cord-221669-uokr4mjq 35 13 using use VBG cord-221669-uokr4mjq 35 14 R r NN cord-221669-uokr4mjq 35 15 = = SYM cord-221669-uokr4mjq 35 16 N n NN cord-221669-uokr4mjq 35 17 0 0 CD cord-221669-uokr4mjq 35 18 − − NN cord-221669-uokr4mjq 35 19 S S NNP cord-221669-uokr4mjq 35 20 − − NNP cord-221669-uokr4mjq 35 21 I -PRON- PRP cord-221669-uokr4mjq 35 22 , , , cord-221669-uokr4mjq 35 23 or or CC cord-221669-uokr4mjq 35 24 equivalently equivalently RB cord-221669-uokr4mjq 35 25 f f XX cord-221669-uokr4mjq 35 26 R r NN cord-221669-uokr4mjq 35 27 = = SYM cord-221669-uokr4mjq 35 28 1 1 CD cord-221669-uokr4mjq 35 29 − − NN cord-221669-uokr4mjq 35 30 f f NN cord-221669-uokr4mjq 35 31 S s NN cord-221669-uokr4mjq 35 32 − − NNP cord-221669-uokr4mjq 36 1 f f LS cord-221669-uokr4mjq 36 2 I -PRON- PRP cord-221669-uokr4mjq 36 3 , , , cord-221669-uokr4mjq 36 4 so so RB cord-221669-uokr4mjq 36 5 we -PRON- PRP cord-221669-uokr4mjq 36 6 need need VBP cord-221669-uokr4mjq 36 7 only only RB cord-221669-uokr4mjq 36 8 solve solve VB cord-221669-uokr4mjq 36 9 the the DT cord-221669-uokr4mjq 36 10 set set NN cord-221669-uokr4mjq 36 11 ( ( -LRB- cord-221669-uokr4mjq 36 12 3 3 CD cord-221669-uokr4mjq 36 13 ) ) -RRB- cord-221669-uokr4mjq 36 14 , , , cord-221669-uokr4mjq 36 15 We -PRON- PRP cord-221669-uokr4mjq 36 16 will will MD cord-221669-uokr4mjq 36 17 assume assume VB cord-221669-uokr4mjq 36 18 that that IN cord-221669-uokr4mjq 36 19 the the DT cord-221669-uokr4mjq 36 20 entire entire JJ cord-221669-uokr4mjq 36 21 population population NN cord-221669-uokr4mjq 36 22 is be VBZ cord-221669-uokr4mjq 36 23 initially initially RB cord-221669-uokr4mjq 36 24 in in IN cord-221669-uokr4mjq 36 25 category category NN cord-221669-uokr4mjq 36 26 S s NN cord-221669-uokr4mjq 36 27 ( ( -LRB- cord-221669-uokr4mjq 36 28 susceptible susceptible JJ cord-221669-uokr4mjq 36 29 but but CC cord-221669-uokr4mjq 36 30 not not RB cord-221669-uokr4mjq 36 31 infected infect VBN cord-221669-uokr4mjq 36 32 or or CC cord-221669-uokr4mjq 36 33 recovered recover VBN cord-221669-uokr4mjq 36 34 ) ) -RRB- cord-221669-uokr4mjq 36 35 , , , cord-221669-uokr4mjq 36 36 so so IN cord-221669-uokr4mjq 36 37 that that IN cord-221669-uokr4mjq 36 38 f f NNP cord-221669-uokr4mjq 36 39 S S NNP cord-221669-uokr4mjq 36 40 ( ( -LRB- cord-221669-uokr4mjq 36 41 t t NN cord-221669-uokr4mjq 36 42 = = SYM cord-221669-uokr4mjq 36 43 0 0 CD cord-221669-uokr4mjq 36 44 ) ) -RRB- cord-221669-uokr4mjq 36 45 = = SYM cord-221669-uokr4mjq 36 46 1 1 CD cord-221669-uokr4mjq 36 47 and and CC cord-221669-uokr4mjq 36 48 f f LS cord-221669-uokr4mjq 36 49 I -PRON- PRP cord-221669-uokr4mjq 36 50 ( ( -LRB- cord-221669-uokr4mjq 36 51 t t NN cord-221669-uokr4mjq 36 52 = = SYM cord-221669-uokr4mjq 36 53 0 0 CD cord-221669-uokr4mjq 36 54 ) ) -RRB- cord-221669-uokr4mjq 36 55 = = SYM cord-221669-uokr4mjq 36 56 0 0 CD cord-221669-uokr4mjq 36 57 . . . cord-221669-uokr4mjq 37 1 Given give VBN cord-221669-uokr4mjq 37 2 these these DT cord-221669-uokr4mjq 37 3 initial initial JJ cord-221669-uokr4mjq 37 4 conditions condition NNS cord-221669-uokr4mjq 37 5 we -PRON- PRP cord-221669-uokr4mjq 37 6 can can MD cord-221669-uokr4mjq 37 7 solve solve VB cord-221669-uokr4mjq 37 8 the the DT cord-221669-uokr4mjq 37 9 equations equation NNS cord-221669-uokr4mjq 37 10 ( ( -LRB- cord-221669-uokr4mjq 37 11 3 3 CD cord-221669-uokr4mjq 37 12 ) ) -RRB- cord-221669-uokr4mjq 37 13 , , , cord-221669-uokr4mjq 37 14 which which WDT cord-221669-uokr4mjq 37 15 also also RB cord-221669-uokr4mjq 37 16 imply imply VBP cord-221669-uokr4mjq 37 17 f f NNP cord-221669-uokr4mjq 37 18 R r NN cord-221669-uokr4mjq 37 19 through through IN cord-221669-uokr4mjq 37 20 f f NN cord-221669-uokr4mjq 37 21 R r NN cord-221669-uokr4mjq 37 22 = = SYM cord-221669-uokr4mjq 37 23 1 1 CD cord-221669-uokr4mjq 37 24 − − NN cord-221669-uokr4mjq 37 25 f f NN cord-221669-uokr4mjq 37 26 S s NN cord-221669-uokr4mjq 37 27 − − NNP cord-221669-uokr4mjq 38 1 f f LS cord-221669-uokr4mjq 38 2 I -PRON- PRP cord-221669-uokr4mjq 38 3 , , , cord-221669-uokr4mjq 38 4 with with IN cord-221669-uokr4mjq 38 5 the the DT cord-221669-uokr4mjq 38 6 results result NNS cord-221669-uokr4mjq 38 7 The the DT cord-221669-uokr4mjq 38 8 behavior behavior NN cord-221669-uokr4mjq 38 9 of of IN cord-221669-uokr4mjq 38 10 this this DT cord-221669-uokr4mjq 38 11 system system NN cord-221669-uokr4mjq 38 12 is be VBZ cord-221669-uokr4mjq 38 13 just just RB cord-221669-uokr4mjq 38 14 what what WP cord-221669-uokr4mjq 38 15 one one PRP cord-221669-uokr4mjq 38 16 would would MD cord-221669-uokr4mjq 38 17 expect expect VB cord-221669-uokr4mjq 38 18 from from IN cord-221669-uokr4mjq 38 19 the the DT cord-221669-uokr4mjq 38 20 dynamics dynamic NNS cord-221669-uokr4mjq 38 21 described describe VBN cord-221669-uokr4mjq 38 22 in in IN cord-221669-uokr4mjq 38 23 the the DT cord-221669-uokr4mjq 38 24 SIR SIR NNP cord-221669-uokr4mjq 38 25 - - HYPH cord-221669-uokr4mjq 38 26 type type NN cord-221669-uokr4mjq 38 27 defining define VBG cord-221669-uokr4mjq 38 28 equations equation NNS cord-221669-uokr4mjq 38 29 ( ( -LRB- cord-221669-uokr4mjq 38 30 1 1 CD cord-221669-uokr4mjq 38 31 ) ) -RRB- cord-221669-uokr4mjq 38 32 : : : cord-221669-uokr4mjq 38 33 The the DT cord-221669-uokr4mjq 38 34 initial initial JJ cord-221669-uokr4mjq 38 35 population population NN cord-221669-uokr4mjq 38 36 of of IN cord-221669-uokr4mjq 38 37 susceptibles susceptible NNS cord-221669-uokr4mjq 38 38 ( ( -LRB- cord-221669-uokr4mjq 38 39 S s NN cord-221669-uokr4mjq 38 40 ) ) -RRB- cord-221669-uokr4mjq 38 41 decays decay VBZ cord-221669-uokr4mjq 38 42 exponentially exponentially RB cord-221669-uokr4mjq 38 43 at at IN cord-221669-uokr4mjq 38 44 the the DT cord-221669-uokr4mjq 38 45 specified specify VBN cord-221669-uokr4mjq 38 46 rate rate NN cord-221669-uokr4mjq 39 1 r r LS cord-221669-uokr4mjq 39 2 I -PRON- PRP cord-221669-uokr4mjq 39 3 as as IN cord-221669-uokr4mjq 39 4 they -PRON- PRP cord-221669-uokr4mjq 39 5 transition transition VBP cord-221669-uokr4mjq 39 6 into into IN cord-221669-uokr4mjq 39 7 infected infected JJ cord-221669-uokr4mjq 39 8 ( ( -LRB- cord-221669-uokr4mjq 39 9 I i NN cord-221669-uokr4mjq 39 10 ) ) -RRB- cord-221669-uokr4mjq 39 11 ; ; : cord-221669-uokr4mjq 39 12 the the DT cord-221669-uokr4mjq 39 13 infected infected JJ cord-221669-uokr4mjq 39 14 fraction fraction NN cord-221669-uokr4mjq 39 15 increases increase NNS cord-221669-uokr4mjq 39 16 to to IN cord-221669-uokr4mjq 39 17 a a DT cord-221669-uokr4mjq 39 18 maximum maximum JJ cord-221669-uokr4mjq 39 19 [ [ -LRB- cord-221669-uokr4mjq 39 20 2 2 CD cord-221669-uokr4mjq 39 21 ] ] -RRB- cord-221669-uokr4mjq 39 22 , , , cord-221669-uokr4mjq 39 23 and and CC cord-221669-uokr4mjq 39 24 then then RB cord-221669-uokr4mjq 39 25 declines decline VBZ cord-221669-uokr4mjq 39 26 as as IN cord-221669-uokr4mjq 39 27 it -PRON- PRP cord-221669-uokr4mjq 39 28 populates populate VBZ cord-221669-uokr4mjq 39 29 the the DT cord-221669-uokr4mjq 39 30 final final JJ cord-221669-uokr4mjq 39 31 , , , cord-221669-uokr4mjq 39 32 recovered recover VBD cord-221669-uokr4mjq 39 33 population population NN cord-221669-uokr4mjq 39 34 ( ( -LRB- cord-221669-uokr4mjq 39 35 R r NN cord-221669-uokr4mjq 39 36 ) ) -RRB- cord-221669-uokr4mjq 39 37 . . . cord-221669-uokr4mjq 40 1 As as IN cord-221669-uokr4mjq 40 2 t t NN cord-221669-uokr4mjq 40 3 → → WDT cord-221669-uokr4mjq 40 4 ∞ ∞ NNP cord-221669-uokr4mjq 40 5 one one CD cord-221669-uokr4mjq 40 6 asymptotically asymptotically RB cord-221669-uokr4mjq 40 7 approaches approach VBZ cord-221669-uokr4mjq 40 8 a a DT cord-221669-uokr4mjq 40 9 state state NN cord-221669-uokr4mjq 40 10 in in IN cord-221669-uokr4mjq 40 11 which which WDT cord-221669-uokr4mjq 40 12 all all DT cord-221669-uokr4mjq 40 13 of of IN cord-221669-uokr4mjq 40 14 the the DT cord-221669-uokr4mjq 40 15 population population NN cord-221669-uokr4mjq 40 16 has have VBZ cord-221669-uokr4mjq 40 17 transitioned transition VBN cord-221669-uokr4mjq 40 18 to to IN cord-221669-uokr4mjq 40 19 recovered recover VBN cord-221669-uokr4mjq 40 20 , , , cord-221669-uokr4mjq 41 1 f f LS cord-221669-uokr4mjq 41 2 R R NNP cord-221669-uokr4mjq 41 3 ( ( -LRB- cord-221669-uokr4mjq 41 4 t t NN cord-221669-uokr4mjq 41 5 = = SYM cord-221669-uokr4mjq 41 6 + + CC cord-221669-uokr4mjq 41 7 ∞ ∞ NNP cord-221669-uokr4mjq 41 8 ) ) -RRB- cord-221669-uokr4mjq 41 9 = = SYM cord-221669-uokr4mjq 41 10 1 1 CD cord-221669-uokr4mjq 41 11 . . . cord-221669-uokr4mjq 42 1 As as IN cord-221669-uokr4mjq 42 2 anticipated anticipate VBN cord-221669-uokr4mjq 42 3 , , , cord-221669-uokr4mjq 42 4 at at IN cord-221669-uokr4mjq 42 5 any any DT cord-221669-uokr4mjq 42 6 intermediate intermediate JJ cord-221669-uokr4mjq 42 7 time time NN cord-221669-uokr4mjq 43 1 0 0 NFP cord-221669-uokr4mjq 43 2 < < XX cord-221669-uokr4mjq 43 3 t t XX cord-221669-uokr4mjq 43 4 < < XX cord-221669-uokr4mjq 44 1 + + CC cord-221669-uokr4mjq 45 1 ∞ ∞ NNP cord-221669-uokr4mjq 45 2 , , , cord-221669-uokr4mjq 45 3 f f NNP cord-221669-uokr4mjq 45 4 S S NNP cord-221669-uokr4mjq 45 5 ( ( -LRB- cord-221669-uokr4mjq 45 6 t t NN cord-221669-uokr4mjq 45 7 ) ) -RRB- cord-221669-uokr4mjq 45 8 + + CC cord-221669-uokr4mjq 45 9 f f XX cord-221669-uokr4mjq 45 10 I -PRON- PRP cord-221669-uokr4mjq 45 11 ( ( -LRB- cord-221669-uokr4mjq 45 12 t t NN cord-221669-uokr4mjq 45 13 ) ) -RRB- cord-221669-uokr4mjq 45 14 + + CC cord-221669-uokr4mjq 45 15 f f XX cord-221669-uokr4mjq 45 16 I -PRON- PRP cord-221669-uokr4mjq 45 17 ( ( -LRB- cord-221669-uokr4mjq 45 18 t t NN cord-221669-uokr4mjq 45 19 ) ) -RRB- cord-221669-uokr4mjq 45 20 = = SYM cord-221669-uokr4mjq 45 21 1 1 CD cord-221669-uokr4mjq 45 22 . . . cord-221669-uokr4mjq 46 1 As as IN cord-221669-uokr4mjq 46 2 a a DT cord-221669-uokr4mjq 46 3 specific specific JJ cord-221669-uokr4mjq 46 4 example example NN cord-221669-uokr4mjq 46 5 , , , cord-221669-uokr4mjq 46 6 the the DT cord-221669-uokr4mjq 46 7 time time NN cord-221669-uokr4mjq 46 8 dependence dependence NN cord-221669-uokr4mjq 46 9 predicted predict VBN cord-221669-uokr4mjq 46 10 by by IN cord-221669-uokr4mjq 46 11 this this DT cord-221669-uokr4mjq 46 12 SIR SIR NNP cord-221669-uokr4mjq 46 13 model model NN cord-221669-uokr4mjq 46 14 is be VBZ cord-221669-uokr4mjq 46 15 shown show VBN cord-221669-uokr4mjq 46 16 in in IN cord-221669-uokr4mjq 46 17 Fig.1 Fig.1 NNP cord-221669-uokr4mjq 46 18 , , , cord-221669-uokr4mjq 46 19 for for IN cord-221669-uokr4mjq 46 20 r r NN cord-221669-uokr4mjq 47 1 I -PRON- PRP cord-221669-uokr4mjq 48 1 = = SYM cord-221669-uokr4mjq 48 2 0.5 0.5 CD cord-221669-uokr4mjq 48 3 [ [ -LRB- cord-221669-uokr4mjq 48 4 days day NNS cord-221669-uokr4mjq 48 5 −1 −1 NNP cord-221669-uokr4mjq 48 6 ] ] -RRB- cord-221669-uokr4mjq 48 7 and and CC cord-221669-uokr4mjq 48 8 r r NN cord-221669-uokr4mjq 48 9 R r NN cord-221669-uokr4mjq 48 10 = = NN cord-221669-uokr4mjq 48 11 0.1 0.1 CD cord-221669-uokr4mjq 48 12 [ [ -LRB- cord-221669-uokr4mjq 48 13 days day NNS cord-221669-uokr4mjq 48 14 −1 −1 NNP cord-221669-uokr4mjq 48 15 ] ] -RRB- cord-221669-uokr4mjq 49 1 ( ( -LRB- cord-221669-uokr4mjq 49 2 an an DT cord-221669-uokr4mjq 49 3 infection infection NN cord-221669-uokr4mjq 49 4 rate rate NN cord-221669-uokr4mjq 49 5 of of IN cord-221669-uokr4mjq 49 6 five five CD cord-221669-uokr4mjq 49 7 times time NNS cord-221669-uokr4mjq 49 8 the the DT cord-221669-uokr4mjq 49 9 recovery recovery NN cord-221669-uokr4mjq 49 10 rate rate NN cord-221669-uokr4mjq 49 11 ) ) -RRB- cord-221669-uokr4mjq 49 12 . . . cord-221669-uokr4mjq 50 1 Two two CD cord-221669-uokr4mjq 50 2 important important JJ cord-221669-uokr4mjq 50 3 modifications modification NNS cord-221669-uokr4mjq 50 4 to to IN cord-221669-uokr4mjq 50 5 this this DT cord-221669-uokr4mjq 50 6 simple simple JJ cord-221669-uokr4mjq 50 7 pedagogical pedagogical JJ cord-221669-uokr4mjq 50 8 SIR SIR NNP cord-221669-uokr4mjq 50 9 model model NN cord-221669-uokr4mjq 50 10 appear appear VB cord-221669-uokr4mjq 50 11 appropriate appropriate JJ cord-221669-uokr4mjq 50 12 for for IN cord-221669-uokr4mjq 50 13 a a DT cord-221669-uokr4mjq 50 14 more more RBR cord-221669-uokr4mjq 50 15 realistic realistic JJ cord-221669-uokr4mjq 50 16 description description NN cord-221669-uokr4mjq 50 17 of of IN cord-221669-uokr4mjq 50 18 the the DT cord-221669-uokr4mjq 50 19 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 50 20 pandemic pandemic NN cord-221669-uokr4mjq 50 21 . . . cord-221669-uokr4mjq 51 1 One one CD cord-221669-uokr4mjq 51 2 is be VBZ cord-221669-uokr4mjq 51 3 that that IN cord-221669-uokr4mjq 51 4 the the DT cord-221669-uokr4mjq 51 5 rate rate NN cord-221669-uokr4mjq 51 6 of of IN cord-221669-uokr4mjq 51 7 transitions transition NNS cord-221669-uokr4mjq 51 8 from from IN cord-221669-uokr4mjq 51 9 susceptible susceptible JJ cord-221669-uokr4mjq 51 10 ( ( -LRB- cord-221669-uokr4mjq 51 11 S s NN cord-221669-uokr4mjq 51 12 ) ) -RRB- cord-221669-uokr4mjq 51 13 to to IN cord-221669-uokr4mjq 51 14 infected infect VBN cord-221669-uokr4mjq 51 15 ( ( -LRB- cord-221669-uokr4mjq 51 16 I i NN cord-221669-uokr4mjq 51 17 ) ) -RRB- cord-221669-uokr4mjq 51 18 should should MD cord-221669-uokr4mjq 51 19 be be VB cord-221669-uokr4mjq 51 20 proportional proportional JJ cord-221669-uokr4mjq 51 21 to to IN cord-221669-uokr4mjq 51 22 the the DT cord-221669-uokr4mjq 51 23 product product NN cord-221669-uokr4mjq 51 24 of of IN cord-221669-uokr4mjq 51 25 these these DT cord-221669-uokr4mjq 51 26 two two CD cord-221669-uokr4mjq 51 27 populations population NNS cord-221669-uokr4mjq 51 28 , , , cord-221669-uokr4mjq 51 29 since since IN cord-221669-uokr4mjq 51 30 their -PRON- PRP$ cord-221669-uokr4mjq 51 31 interaction interaction NN cord-221669-uokr4mjq 51 32 determines determine VBZ cord-221669-uokr4mjq 51 33 this this DT cord-221669-uokr4mjq 51 34 rate rate NN cord-221669-uokr4mjq 51 35 . . . cord-221669-uokr4mjq 52 1 This this DT cord-221669-uokr4mjq 52 2 modifies modify VBZ cord-221669-uokr4mjq 52 3 the the DT cord-221669-uokr4mjq 52 4 second second JJ cord-221669-uokr4mjq 52 5 evolution evolution NN cord-221669-uokr4mjq 52 6 equation equation NN cord-221669-uokr4mjq 52 7 for for IN cord-221669-uokr4mjq 52 8 the the DT cord-221669-uokr4mjq 52 9 population population NN cord-221669-uokr4mjq 53 1 fraction fraction NN cord-221669-uokr4mjq 53 2 f f NNP cord-221669-uokr4mjq 53 3 I i NN cord-221669-uokr4mjq 53 4 ( ( -LRB- cord-221669-uokr4mjq 53 5 t t NN cord-221669-uokr4mjq 53 6 ) ) -RRB- cord-221669-uokr4mjq 53 7 to to IN cord-221669-uokr4mjq 53 8 This this DT cord-221669-uokr4mjq 53 9 " " `` cord-221669-uokr4mjq 53 10 second second JJ cord-221669-uokr4mjq 53 11 - - HYPH cord-221669-uokr4mjq 53 12 order order NN cord-221669-uokr4mjq 53 13 reaction reaction NN cord-221669-uokr4mjq 53 14 kinetics kinetic NNS cord-221669-uokr4mjq 53 15 " " '' cord-221669-uokr4mjq 53 16 in in IN cord-221669-uokr4mjq 53 17 the the DT cord-221669-uokr4mjq 53 18 infection infection NN cord-221669-uokr4mjq 53 19 process process NN cord-221669-uokr4mjq 53 20 is be VBZ cord-221669-uokr4mjq 53 21 a a DT cord-221669-uokr4mjq 53 22 standard standard JJ cord-221669-uokr4mjq 53 23 assumption assumption NN cord-221669-uokr4mjq 53 24 in in IN cord-221669-uokr4mjq 53 25 epidemic epidemic NN cord-221669-uokr4mjq 53 26 models model NNS cord-221669-uokr4mjq 53 27 [ [ -LRB- cord-221669-uokr4mjq 53 28 1 1 CD cord-221669-uokr4mjq 53 29 , , , cord-221669-uokr4mjq 53 30 3 3 CD cord-221669-uokr4mjq 53 31 ] ] -RRB- cord-221669-uokr4mjq 53 32 . . . cord-221669-uokr4mjq 54 1 A a DT cord-221669-uokr4mjq 54 2 second second JJ cord-221669-uokr4mjq 54 3 , , , cord-221669-uokr4mjq 54 4 more more RBR cord-221669-uokr4mjq 54 5 novel novel JJ cord-221669-uokr4mjq 54 6 modification modification NN cord-221669-uokr4mjq 54 7 of of IN cord-221669-uokr4mjq 54 8 the the DT cord-221669-uokr4mjq 54 9 SIR SIR NNP cord-221669-uokr4mjq 54 10 model model NN cord-221669-uokr4mjq 54 11 is be VBZ cord-221669-uokr4mjq 54 12 to to TO cord-221669-uokr4mjq 54 13 incorporate incorporate VB cord-221669-uokr4mjq 54 14 the the DT cord-221669-uokr4mjq 54 15 effects effect NNS cord-221669-uokr4mjq 54 16 of of IN cord-221669-uokr4mjq 54 17 a a DT cord-221669-uokr4mjq 54 18 social social JJ cord-221669-uokr4mjq 54 19 response response NN cord-221669-uokr4mjq 54 20 to to IN cord-221669-uokr4mjq 54 21 a a DT cord-221669-uokr4mjq 54 22 highprofile highprofile NN cord-221669-uokr4mjq 54 23 pandemic pandemic NN cord-221669-uokr4mjq 54 24 such such JJ cord-221669-uokr4mjq 54 25 as as IN cord-221669-uokr4mjq 54 26 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 54 27 . . . cord-221669-uokr4mjq 55 1 In in IN cord-221669-uokr4mjq 55 2 this this DT cord-221669-uokr4mjq 55 3 case case NN cord-221669-uokr4mjq 55 4 there there EX cord-221669-uokr4mjq 55 5 has have VBZ cord-221669-uokr4mjq 55 6 been be VBN cord-221669-uokr4mjq 55 7 strong strong JJ cord-221669-uokr4mjq 55 8 encouragement encouragement NN cord-221669-uokr4mjq 55 9 from from IN cord-221669-uokr4mjq 55 10 governments government NNS cord-221669-uokr4mjq 55 11 and and CC cord-221669-uokr4mjq 55 12 medical medical JJ cord-221669-uokr4mjq 55 13 authorities authority NNS cord-221669-uokr4mjq 55 14 to to TO cord-221669-uokr4mjq 55 15 reduce reduce VB cord-221669-uokr4mjq 55 16 the the DT cord-221669-uokr4mjq 55 17 growth growth NN cord-221669-uokr4mjq 55 18 of of IN cord-221669-uokr4mjq 55 19 the the DT cord-221669-uokr4mjq 55 20 pandemic pandemic NN cord-221669-uokr4mjq 55 21 by by IN cord-221669-uokr4mjq 55 22 implementing implement VBG cord-221669-uokr4mjq 55 23 social social JJ cord-221669-uokr4mjq 55 24 distancing distancing NN cord-221669-uokr4mjq 55 25 and and CC cord-221669-uokr4mjq 55 26 related related JJ cord-221669-uokr4mjq 55 27 measures measure NNS cord-221669-uokr4mjq 55 28 . . . cord-221669-uokr4mjq 56 1 In in IN cord-221669-uokr4mjq 56 2 this this DT cord-221669-uokr4mjq 56 3 SHIR SHIR NNP cord-221669-uokr4mjq 56 4 model model NN cord-221669-uokr4mjq 56 5 these these DT cord-221669-uokr4mjq 56 6 actions action NNS cord-221669-uokr4mjq 56 7 reduce reduce VBP cord-221669-uokr4mjq 56 8 the the DT cord-221669-uokr4mjq 56 9 susceptible susceptible JJ cord-221669-uokr4mjq 56 10 population population NN cord-221669-uokr4mjq 56 11 by by IN cord-221669-uokr4mjq 56 12 transferring transfer VBG cord-221669-uokr4mjq 56 13 them -PRON- PRP cord-221669-uokr4mjq 56 14 to to IN cord-221669-uokr4mjq 56 15 a a DT cord-221669-uokr4mjq 56 16 new new JJ cord-221669-uokr4mjq 56 17 category category NN cord-221669-uokr4mjq 56 18 of of IN cord-221669-uokr4mjq 56 19 " " `` cord-221669-uokr4mjq 56 20 hidden hide VBN cord-221669-uokr4mjq 56 21 " " '' cord-221669-uokr4mjq 56 22 individuals individual NNS cord-221669-uokr4mjq 56 23 ( ( -LRB- cord-221669-uokr4mjq 56 24 H h NN cord-221669-uokr4mjq 56 25 ) ) -RRB- cord-221669-uokr4mjq 56 26 who who WP cord-221669-uokr4mjq 56 27 are be VBP cord-221669-uokr4mjq 56 28 not not RB cord-221669-uokr4mjq 56 29 susceptible susceptible JJ cord-221669-uokr4mjq 56 30 to to IN cord-221669-uokr4mjq 56 31 infection infection NN cord-221669-uokr4mjq 56 32 , , , cord-221669-uokr4mjq 56 33 which which WDT cord-221669-uokr4mjq 56 34 is be VBZ cord-221669-uokr4mjq 56 35 populated populate VBN cord-221669-uokr4mjq 56 36 from from IN cord-221669-uokr4mjq 56 37 the the DT cord-221669-uokr4mjq 56 38 original original JJ cord-221669-uokr4mjq 56 39 group group NN cord-221669-uokr4mjq 56 40 of of IN cord-221669-uokr4mjq 56 41 susceptibles susceptible NNS cord-221669-uokr4mjq 56 42 ( ( -LRB- cord-221669-uokr4mjq 56 43 S S NNP cord-221669-uokr4mjq 56 44 ) ) -RRB- cord-221669-uokr4mjq 56 45 through through IN cord-221669-uokr4mjq 56 46 another another DT cord-221669-uokr4mjq 56 47 rate rate NN cord-221669-uokr4mjq 56 48 process process NN cord-221669-uokr4mjq 56 49 , , , cord-221669-uokr4mjq 56 50 The the DT cord-221669-uokr4mjq 56 51 individuals individual NNS cord-221669-uokr4mjq 56 52 in in IN cord-221669-uokr4mjq 56 53 H H NNP cord-221669-uokr4mjq 56 54 are be VBP cord-221669-uokr4mjq 56 55 not not RB cord-221669-uokr4mjq 56 56 only only RB cord-221669-uokr4mjq 56 57 the the DT cord-221669-uokr4mjq 56 58 physically physically RB cord-221669-uokr4mjq 56 59 sequestered sequester VBN cord-221669-uokr4mjq 56 60 ; ; : cord-221669-uokr4mjq 56 61 simply simply RB cord-221669-uokr4mjq 56 62 changing change VBG cord-221669-uokr4mjq 56 63 behavior behavior NN cord-221669-uokr4mjq 56 64 , , , cord-221669-uokr4mjq 56 65 such such JJ cord-221669-uokr4mjq 56 66 as as IN cord-221669-uokr4mjq 56 67 avoiding avoid VBG cord-221669-uokr4mjq 56 68 public public JJ cord-221669-uokr4mjq 56 69 assemblies assembly NNS cord-221669-uokr4mjq 56 70 , , , cord-221669-uokr4mjq 56 71 crowded crowded JJ cord-221669-uokr4mjq 56 72 schools school NNS cord-221669-uokr4mjq 56 73 and and CC cord-221669-uokr4mjq 56 74 public public JJ cord-221669-uokr4mjq 56 75 transportation transportation NN cord-221669-uokr4mjq 56 76 , , , cord-221669-uokr4mjq 56 77 implementing implement VBG cord-221669-uokr4mjq 56 78 rigorous rigorous JJ cord-221669-uokr4mjq 56 79 hygienic hygienic JJ cord-221669-uokr4mjq 56 80 practices practice NNS cord-221669-uokr4mjq 56 81 , , , cord-221669-uokr4mjq 56 82 and and CC cord-221669-uokr4mjq 56 83 many many JJ cord-221669-uokr4mjq 56 84 other other JJ cord-221669-uokr4mjq 56 85 measures measure NNS cord-221669-uokr4mjq 56 86 contribute contribute VBP cord-221669-uokr4mjq 56 87 to to IN cord-221669-uokr4mjq 56 88 the the DT cord-221669-uokr4mjq 56 89 continued continue VBN cord-221669-uokr4mjq 56 90 reduction reduction NN cord-221669-uokr4mjq 56 91 of of IN cord-221669-uokr4mjq 56 92 the the DT cord-221669-uokr4mjq 56 93 effective effective JJ cord-221669-uokr4mjq 56 94 susceptible susceptible JJ cord-221669-uokr4mjq 56 95 population population NN cord-221669-uokr4mjq 56 96 fraction fraction NN cord-221669-uokr4mjq 56 97 f f NNP cord-221669-uokr4mjq 56 98 S S NNP cord-221669-uokr4mjq 56 99 [ [ -LRB- cord-221669-uokr4mjq 56 100 4 4 CD cord-221669-uokr4mjq 56 101 ] ] -RRB- cord-221669-uokr4mjq 56 102 . . . cord-221669-uokr4mjq 57 1 We -PRON- PRP cord-221669-uokr4mjq 57 2 consider consider VBP cord-221669-uokr4mjq 57 3 τ τ . cord-221669-uokr4mjq 58 1 = = SYM cord-221669-uokr4mjq 58 2 1 1 CD cord-221669-uokr4mjq 58 3 / / SYM cord-221669-uokr4mjq 58 4 r r NN cord-221669-uokr4mjq 58 5 H H NNP cord-221669-uokr4mjq 58 6 , , , cord-221669-uokr4mjq 58 7 the the DT cord-221669-uokr4mjq 58 8 " " `` cord-221669-uokr4mjq 58 9 social social JJ cord-221669-uokr4mjq 58 10 response response NN cord-221669-uokr4mjq 58 11 time time NN cord-221669-uokr4mjq 58 12 , , , cord-221669-uokr4mjq 58 13 " " '' cord-221669-uokr4mjq 58 14 to to TO cord-221669-uokr4mjq 58 15 be be VB cord-221669-uokr4mjq 58 16 a a DT cord-221669-uokr4mjq 58 17 measure measure NN cord-221669-uokr4mjq 58 18 of of IN cord-221669-uokr4mjq 58 19 how how WRB cord-221669-uokr4mjq 58 20 quickly quickly RB cord-221669-uokr4mjq 58 21 a a DT cord-221669-uokr4mjq 58 22 society society NN cord-221669-uokr4mjq 58 23 responds respond VBZ cord-221669-uokr4mjq 58 24 to to IN cord-221669-uokr4mjq 58 25 a a DT cord-221669-uokr4mjq 58 26 developing develop VBG cord-221669-uokr4mjq 58 27 pandemic pandemic NN cord-221669-uokr4mjq 58 28 threat threat NN cord-221669-uokr4mjq 58 29 . . . cord-221669-uokr4mjq 59 1 We -PRON- PRP cord-221669-uokr4mjq 59 2 shall shall MD cord-221669-uokr4mjq 59 3 subsequently subsequently RB cord-221669-uokr4mjq 59 4 find find VB cord-221669-uokr4mjq 59 5 that that IN cord-221669-uokr4mjq 59 6 there there EX cord-221669-uokr4mjq 59 7 are be VBP cord-221669-uokr4mjq 59 8 interesting interesting JJ cord-221669-uokr4mjq 59 9 differences difference NNS cord-221669-uokr4mjq 59 10 between between IN cord-221669-uokr4mjq 59 11 countries country NNS cord-221669-uokr4mjq 59 12 in in IN cord-221669-uokr4mjq 59 13 the the DT cord-221669-uokr4mjq 59 14 fitted fit VBN cord-221669-uokr4mjq 59 15 values value NNS cord-221669-uokr4mjq 59 16 of of IN cord-221669-uokr4mjq 59 17 this this DT cord-221669-uokr4mjq 59 18 parameter parameter NN cord-221669-uokr4mjq 59 19 . . . cord-221669-uokr4mjq 60 1 The the DT cord-221669-uokr4mjq 60 2 partner partner NN cord-221669-uokr4mjq 60 3 DE DE NNP cord-221669-uokr4mjq 60 4 for for IN cord-221669-uokr4mjq 60 5 f f NNP cord-221669-uokr4mjq 60 6 S S NNP cord-221669-uokr4mjq 60 7 , , , cord-221669-uokr4mjq 60 8 similarly similarly RB cord-221669-uokr4mjq 60 9 modified modify VBN cord-221669-uokr4mjq 60 10 to to TO cord-221669-uokr4mjq 60 11 include include VB cord-221669-uokr4mjq 60 12 a a DT cord-221669-uokr4mjq 60 13 second second JJ cord-221669-uokr4mjq 60 14 - - HYPH cord-221669-uokr4mjq 60 15 order order NN cord-221669-uokr4mjq 60 16 infection infection NN cord-221669-uokr4mjq 60 17 rate rate NN cord-221669-uokr4mjq 60 18 process process NN cord-221669-uokr4mjq 60 19 as as RB cord-221669-uokr4mjq 60 20 well well RB cord-221669-uokr4mjq 60 21 as as IN cord-221669-uokr4mjq 60 22 the the DT cord-221669-uokr4mjq 60 23 new new JJ cord-221669-uokr4mjq 60 24 first first JJ cord-221669-uokr4mjq 60 25 - - HYPH cord-221669-uokr4mjq 60 26 order order NN cord-221669-uokr4mjq 60 27 social social JJ cord-221669-uokr4mjq 60 28 response response NN cord-221669-uokr4mjq 60 29 transition transition NN cord-221669-uokr4mjq 60 30 term term NN cord-221669-uokr4mjq 60 31 for for IN cord-221669-uokr4mjq 60 32 S s NN cord-221669-uokr4mjq 60 33 → → SYM cord-221669-uokr4mjq 60 34 H H NNP cord-221669-uokr4mjq 60 35 , , , cord-221669-uokr4mjq 60 36 is be VBZ cord-221669-uokr4mjq 60 37 The the DT cord-221669-uokr4mjq 60 38 final final JJ cord-221669-uokr4mjq 60 39 " " `` cord-221669-uokr4mjq 60 40 recovery recovery NN cord-221669-uokr4mjq 60 41 " " '' cord-221669-uokr4mjq 60 42 DE DE NNP cord-221669-uokr4mjq 60 43 for for IN cord-221669-uokr4mjq 60 44 dR dR NNP cord-221669-uokr4mjq 60 45 / / SYM cord-221669-uokr4mjq 60 46 dt dt NNP cord-221669-uokr4mjq 60 47 is be VBZ cord-221669-uokr4mjq 60 48 unchanged unchanged JJ cord-221669-uokr4mjq 60 49 from from IN cord-221669-uokr4mjq 60 50 the the DT cord-221669-uokr4mjq 60 51 SIR SIR NNP cord-221669-uokr4mjq 60 52 model model NN cord-221669-uokr4mjq 60 53 formula formula NN cord-221669-uokr4mjq 60 54 in in IN cord-221669-uokr4mjq 60 55 ( ( -LRB- cord-221669-uokr4mjq 60 56 1 1 CD cord-221669-uokr4mjq 60 57 ) ) -RRB- cord-221669-uokr4mjq 60 58 . . . cord-221669-uokr4mjq 61 1 However however RB cord-221669-uokr4mjq 61 2 since since IN cord-221669-uokr4mjq 61 3 the the DT cord-221669-uokr4mjq 61 4 R r NN cord-221669-uokr4mjq 61 5 cases case NNS cord-221669-uokr4mjq 61 6 in in IN cord-221669-uokr4mjq 61 7 practice practice NN cord-221669-uokr4mjq 61 8 include include VBP cord-221669-uokr4mjq 61 9 mortality mortality NN cord-221669-uokr4mjq 61 10 as as RB cord-221669-uokr4mjq 61 11 well well RB cord-221669-uokr4mjq 61 12 as as IN cord-221669-uokr4mjq 61 13 recovery recovery NN cord-221669-uokr4mjq 61 14 , , , cord-221669-uokr4mjq 61 15 we -PRON- PRP cord-221669-uokr4mjq 61 16 will will MD cord-221669-uokr4mjq 61 17 instead instead RB cord-221669-uokr4mjq 61 18 refer refer VB cord-221669-uokr4mjq 61 19 to to IN cord-221669-uokr4mjq 61 20 the the DT cord-221669-uokr4mjq 61 21 R r NN cord-221669-uokr4mjq 61 22 population population NN cord-221669-uokr4mjq 61 23 as as IN cord-221669-uokr4mjq 61 24 " " `` cord-221669-uokr4mjq 61 25 resolved resolve VBN cord-221669-uokr4mjq 61 26 " " '' cord-221669-uokr4mjq 61 27 [ [ -LRB- cord-221669-uokr4mjq 61 28 6 6 CD cord-221669-uokr4mjq 61 29 ] ] -RRB- cord-221669-uokr4mjq 61 30 . . . cord-221669-uokr4mjq 62 1 Collecting collect VBG cord-221669-uokr4mjq 62 2 these these DT cord-221669-uokr4mjq 62 3 results result NNS cord-221669-uokr4mjq 62 4 gives give VBZ cord-221669-uokr4mjq 62 5 our -PRON- PRP$ cord-221669-uokr4mjq 62 6 complete complete JJ cord-221669-uokr4mjq 62 7 set set NN cord-221669-uokr4mjq 62 8 of of IN cord-221669-uokr4mjq 62 9 SHIR SHIR NNP cord-221669-uokr4mjq 62 10 model model NN cord-221669-uokr4mjq 62 11 DEs de NNS cord-221669-uokr4mjq 62 12 , , , cord-221669-uokr4mjq 62 13 Note note VB cord-221669-uokr4mjq 62 14 that that IN cord-221669-uokr4mjq 62 15 one one NN cord-221669-uokr4mjq 62 16 recovers recover VBZ cord-221669-uokr4mjq 62 17 the the DT cord-221669-uokr4mjq 62 18 three three CD cord-221669-uokr4mjq 62 19 original original JJ cord-221669-uokr4mjq 62 20 pandemic pandemic NN cord-221669-uokr4mjq 62 21 DEs DEs NNP cord-221669-uokr4mjq 62 22 of of IN cord-221669-uokr4mjq 62 23 Kermack Kermack NNP cord-221669-uokr4mjq 62 24 et et NNP cord-221669-uokr4mjq 62 25 al al NNP cord-221669-uokr4mjq 62 26 . . . cord-221669-uokr4mjq 63 1 [ [ -LRB- cord-221669-uokr4mjq 63 2 3 3 CD cord-221669-uokr4mjq 63 3 ] ] -RRB- cord-221669-uokr4mjq 63 4 ( ( -LRB- cord-221669-uokr4mjq 63 5 their -PRON- PRP$ cord-221669-uokr4mjq 63 6 Eqs.(29 Eqs.(29 NNS cord-221669-uokr4mjq 63 7 ) ) -RRB- cord-221669-uokr4mjq 63 8 ) ) -RRB- cord-221669-uokr4mjq 63 9 through through IN cord-221669-uokr4mjq 63 10 the the DT cord-221669-uokr4mjq 63 11 substitutions substitution NNS cord-221669-uokr4mjq 63 12 f f NNP cord-221669-uokr4mjq 63 13 ( ( -LRB- cord-221669-uokr4mjq 63 14 S S NNP cord-221669-uokr4mjq 63 15 , , , cord-221669-uokr4mjq 63 16 I -PRON- PRP cord-221669-uokr4mjq 63 17 , , , cord-221669-uokr4mjq 63 18 R r NN cord-221669-uokr4mjq 63 19 ) ) -RRB- cord-221669-uokr4mjq 64 1 → → NFP cord-221669-uokr4mjq 64 2 ( ( -LRB- cord-221669-uokr4mjq 64 3 x x NNP cord-221669-uokr4mjq 64 4 , , , cord-221669-uokr4mjq 64 5 y y NNP cord-221669-uokr4mjq 64 6 , , , cord-221669-uokr4mjq 64 7 z)/N z)/N NNP cord-221669-uokr4mjq 64 8 and and CC cord-221669-uokr4mjq 64 9 ( ( -LRB- cord-221669-uokr4mjq 64 10 r r NN cord-221669-uokr4mjq 64 11 I i NN cord-221669-uokr4mjq 64 12 , , , cord-221669-uokr4mjq 64 13 r r NN cord-221669-uokr4mjq 64 14 R r NN cord-221669-uokr4mjq 64 15 ) ) -RRB- cord-221669-uokr4mjq 64 16 → → XX cord-221669-uokr4mjq 64 17 ( ( -LRB- cord-221669-uokr4mjq 64 18 κ κ NNP cord-221669-uokr4mjq 64 19 , , , cord-221669-uokr4mjq 64 20 ℓ ℓ NNP cord-221669-uokr4mjq 64 21 ) ) -RRB- cord-221669-uokr4mjq 64 22 , , , cord-221669-uokr4mjq 64 23 and and CC cord-221669-uokr4mjq 64 24 removing remove VBG cord-221669-uokr4mjq 64 25 the the DT cord-221669-uokr4mjq 64 26 " " `` cord-221669-uokr4mjq 64 27 hidden hide VBN cord-221669-uokr4mjq 64 28 population population NN cord-221669-uokr4mjq 64 29 " " '' cord-221669-uokr4mjq 64 30 of of IN cord-221669-uokr4mjq 64 31 the the DT cord-221669-uokr4mjq 64 32 SHIR SHIR NNP cord-221669-uokr4mjq 64 33 model model NN cord-221669-uokr4mjq 64 34 by by IN cord-221669-uokr4mjq 64 35 setting set VBG cord-221669-uokr4mjq 64 36 r r NN cord-221669-uokr4mjq 64 37 H h NN cord-221669-uokr4mjq 64 38 = = SYM cord-221669-uokr4mjq 64 39 0 0 CD cord-221669-uokr4mjq 64 40 and and CC cord-221669-uokr4mjq 64 41 f f NN cord-221669-uokr4mjq 64 42 H h NN cord-221669-uokr4mjq 64 43 = = SYM cord-221669-uokr4mjq 64 44 0 0 CD cord-221669-uokr4mjq 64 45 . . . cord-221669-uokr4mjq 65 1 We -PRON- PRP cord-221669-uokr4mjq 65 2 note note VBP cord-221669-uokr4mjq 65 3 in in IN cord-221669-uokr4mjq 65 4 passing pass VBG cord-221669-uokr4mjq 65 5 that that IN cord-221669-uokr4mjq 65 6 the the DT cord-221669-uokr4mjq 65 7 infected infected JJ cord-221669-uokr4mjq 65 8 ( ( -LRB- cord-221669-uokr4mjq 65 9 and and CC cord-221669-uokr4mjq 65 10 still still RB cord-221669-uokr4mjq 65 11 infective infective JJ cord-221669-uokr4mjq 65 12 ) ) -RRB- cord-221669-uokr4mjq 65 13 individuals individual NNS cord-221669-uokr4mjq 65 14 ( ( -LRB- cord-221669-uokr4mjq 65 15 all all PDT cord-221669-uokr4mjq 65 16 those those DT cord-221669-uokr4mjq 65 17 in in IN cord-221669-uokr4mjq 65 18 box box NN cord-221669-uokr4mjq 65 19 I I NNP cord-221669-uokr4mjq 65 20 ) ) -RRB- cord-221669-uokr4mjq 65 21 are be VBP cord-221669-uokr4mjq 65 22 also also RB cord-221669-uokr4mjq 65 23 referred refer VBN cord-221669-uokr4mjq 65 24 to to IN cord-221669-uokr4mjq 65 25 in in IN cord-221669-uokr4mjq 65 26 the the DT cord-221669-uokr4mjq 65 27 literature literature NN cord-221669-uokr4mjq 65 28 as as IN cord-221669-uokr4mjq 65 29 the the DT cord-221669-uokr4mjq 65 30 " " `` cord-221669-uokr4mjq 65 31 active active JJ cord-221669-uokr4mjq 65 32 " " '' cord-221669-uokr4mjq 65 33 cases case NNS cord-221669-uokr4mjq 65 34 , , , cord-221669-uokr4mjq 65 35 numbering number VBG cord-221669-uokr4mjq 65 36 A(t a(t NN cord-221669-uokr4mjq 65 37 ) ) -RRB- cord-221669-uokr4mjq 65 38 . . . cord-221669-uokr4mjq 66 1 Here here RB cord-221669-uokr4mjq 66 2 , , , cord-221669-uokr4mjq 66 3 I(t I(t NNP cord-221669-uokr4mjq 66 4 ) ) -RRB- cord-221669-uokr4mjq 66 5 and and CC cord-221669-uokr4mjq 66 6 A(t A(t NNP cord-221669-uokr4mjq 66 7 ) ) -RRB- cord-221669-uokr4mjq 66 8 are be VBP cord-221669-uokr4mjq 66 9 identical identical JJ cord-221669-uokr4mjq 66 10 ; ; : cord-221669-uokr4mjq 66 11 any any DT cord-221669-uokr4mjq 66 12 individuals individual NNS cord-221669-uokr4mjq 66 13 in in IN cord-221669-uokr4mjq 66 14 box box NN cord-221669-uokr4mjq 66 15 I -PRON- PRP cord-221669-uokr4mjq 66 16 who who WP cord-221669-uokr4mjq 66 17 are be VBP cord-221669-uokr4mjq 66 18 no no RB cord-221669-uokr4mjq 66 19 longer long RBR cord-221669-uokr4mjq 66 20 infective infective JJ cord-221669-uokr4mjq 66 21 are be VBP cord-221669-uokr4mjq 66 22 immediately immediately RB cord-221669-uokr4mjq 66 23 reclassified reclassify VBN cord-221669-uokr4mjq 66 24 as as IN cord-221669-uokr4mjq 66 25 " " `` cord-221669-uokr4mjq 66 26 resolved resolve VBN cord-221669-uokr4mjq 66 27 , , , cord-221669-uokr4mjq 66 28 " " '' cord-221669-uokr4mjq 66 29 and and CC cord-221669-uokr4mjq 66 30 moved move VBD cord-221669-uokr4mjq 66 31 to to IN cord-221669-uokr4mjq 66 32 box box NN cord-221669-uokr4mjq 66 33 R. R. NNP cord-221669-uokr4mjq 67 1 Since since IN cord-221669-uokr4mjq 67 2 ( ( -LRB- cord-221669-uokr4mjq 67 3 8) 8) NN cord-221669-uokr4mjq 67 4 is be VBZ cord-221669-uokr4mjq 67 5 a a DT cord-221669-uokr4mjq 67 6 nonlinear nonlinear JJ cord-221669-uokr4mjq 67 7 set set NN cord-221669-uokr4mjq 67 8 of of IN cord-221669-uokr4mjq 67 9 ODEs ode NNS cord-221669-uokr4mjq 67 10 for for IN cord-221669-uokr4mjq 67 11 the the DT cord-221669-uokr4mjq 67 12 four four CD cord-221669-uokr4mjq 67 13 population population NN cord-221669-uokr4mjq 67 14 fractions fraction NNS cord-221669-uokr4mjq 67 15 f f NNP cord-221669-uokr4mjq 67 16 S S NNP cord-221669-uokr4mjq 67 17 , , , cord-221669-uokr4mjq 67 18 H H NNP cord-221669-uokr4mjq 67 19 , , , cord-221669-uokr4mjq 67 20 I -PRON- PRP cord-221669-uokr4mjq 67 21 , , , cord-221669-uokr4mjq 67 22 R r NN cord-221669-uokr4mjq 67 23 , , , cord-221669-uokr4mjq 67 24 an an DT cord-221669-uokr4mjq 67 25 exact exact JJ cord-221669-uokr4mjq 67 26 analytical analytical JJ cord-221669-uokr4mjq 67 27 solution solution NN cord-221669-uokr4mjq 67 28 will will MD cord-221669-uokr4mjq 67 29 not not RB cord-221669-uokr4mjq 67 30 be be VB cord-221669-uokr4mjq 67 31 possible possible JJ cord-221669-uokr4mjq 67 32 , , , cord-221669-uokr4mjq 67 33 except except IN cord-221669-uokr4mjq 67 34 in in IN cord-221669-uokr4mjq 67 35 certain certain JJ cord-221669-uokr4mjq 67 36 limits limit NNS cord-221669-uokr4mjq 67 37 and and CC cord-221669-uokr4mjq 67 38 approximations approximation NNS cord-221669-uokr4mjq 67 39 . . . cord-221669-uokr4mjq 68 1 However however RB cord-221669-uokr4mjq 68 2 some some DT cord-221669-uokr4mjq 68 3 important important JJ cord-221669-uokr4mjq 68 4 results result NNS cord-221669-uokr4mjq 68 5 can can MD cord-221669-uokr4mjq 68 6 still still RB cord-221669-uokr4mjq 68 7 be be VB cord-221669-uokr4mjq 68 8 proven prove VBN cord-221669-uokr4mjq 68 9 for for IN cord-221669-uokr4mjq 68 10 this this DT cord-221669-uokr4mjq 68 11 nonlinear nonlinear JJ cord-221669-uokr4mjq 68 12 system system NN cord-221669-uokr4mjq 68 13 . . . cord-221669-uokr4mjq 69 1 One one CD cord-221669-uokr4mjq 69 2 such such JJ cord-221669-uokr4mjq 69 3 result result NN cord-221669-uokr4mjq 69 4 , , , cord-221669-uokr4mjq 69 5 obtained obtain VBN cord-221669-uokr4mjq 69 6 by by IN cord-221669-uokr4mjq 69 7 adding add VBG cord-221669-uokr4mjq 69 8 the the DT cord-221669-uokr4mjq 69 9 4 4 CD cord-221669-uokr4mjq 69 10 equations equation NNS cord-221669-uokr4mjq 69 11 in in IN cord-221669-uokr4mjq 69 12 ( ( -LRB- cord-221669-uokr4mjq 69 13 8) 8) NNP cord-221669-uokr4mjq 69 14 , , , cord-221669-uokr4mjq 69 15 is be VBZ cord-221669-uokr4mjq 69 16 that that IN cord-221669-uokr4mjq 69 17 the the DT cord-221669-uokr4mjq 69 18 sum sum NN cord-221669-uokr4mjq 69 19 of of IN cord-221669-uokr4mjq 69 20 the the DT cord-221669-uokr4mjq 69 21 four four CD cord-221669-uokr4mjq 69 22 populations population NNS cord-221669-uokr4mjq 69 23 fractions fraction NNS cord-221669-uokr4mjq 69 24 f f NNP cord-221669-uokr4mjq 69 25 is be VBZ cord-221669-uokr4mjq 69 26 a a DT cord-221669-uokr4mjq 69 27 constant constant NN cord-221669-uokr4mjq 69 28 of of IN cord-221669-uokr4mjq 69 29 motion motion NN cord-221669-uokr4mjq 69 30 . . . cord-221669-uokr4mjq 70 1 Thus thus RB cord-221669-uokr4mjq 70 2 f f NNP cord-221669-uokr4mjq 70 3 H h NN cord-221669-uokr4mjq 70 4 + + CC cord-221669-uokr4mjq 70 5 f f NN cord-221669-uokr4mjq 70 6 S s NN cord-221669-uokr4mjq 71 1 + + CC cord-221669-uokr4mjq 71 2 f f NN cord-221669-uokr4mjq 72 1 I -PRON- PRP cord-221669-uokr4mjq 72 2 + + CC cord-221669-uokr4mjq 72 3 f f NN cord-221669-uokr4mjq 72 4 R r NN cord-221669-uokr4mjq 72 5 = = SYM cord-221669-uokr4mjq 72 6 1 1 CD cord-221669-uokr4mjq 72 7 , , , cord-221669-uokr4mjq 72 8 or or CC cord-221669-uokr4mjq 72 9 H h NN cord-221669-uokr4mjq 72 10 + + CC cord-221669-uokr4mjq 72 11 S s NN cord-221669-uokr4mjq 73 1 + + CC cord-221669-uokr4mjq 74 1 I -PRON- PRP cord-221669-uokr4mjq 74 2 + + CC cord-221669-uokr4mjq 74 3 R r NN cord-221669-uokr4mjq 74 4 remains remain VBZ cord-221669-uokr4mjq 74 5 a a DT cord-221669-uokr4mjq 74 6 constant constant NN cord-221669-uokr4mjq 74 7 , , , cord-221669-uokr4mjq 74 8 N n CD cord-221669-uokr4mjq 74 9 0 0 CD cord-221669-uokr4mjq 74 10 . . . cord-221669-uokr4mjq 75 1 Another another DT cord-221669-uokr4mjq 75 2 useful useful JJ cord-221669-uokr4mjq 75 3 result result NN cord-221669-uokr4mjq 75 4 is be VBZ cord-221669-uokr4mjq 75 5 that that IN cord-221669-uokr4mjq 75 6 the the DT cord-221669-uokr4mjq 75 7 population population NN cord-221669-uokr4mjq 75 8 fractions fraction NNS cord-221669-uokr4mjq 75 9 of of IN cord-221669-uokr4mjq 75 10 the the DT cord-221669-uokr4mjq 75 11 two two CD cord-221669-uokr4mjq 75 12 groups group NNS cord-221669-uokr4mjq 75 13 H h NN cord-221669-uokr4mjq 75 14 " " `` cord-221669-uokr4mjq 75 15 hidden hide VBN cord-221669-uokr4mjq 75 16 " " '' cord-221669-uokr4mjq 75 17 and and CC cord-221669-uokr4mjq 75 18 R r NN cord-221669-uokr4mjq 75 19 " " `` cord-221669-uokr4mjq 75 20 resolved resolve VBN cord-221669-uokr4mjq 75 21 " " '' cord-221669-uokr4mjq 75 22 can can MD cord-221669-uokr4mjq 75 23 be be VB cord-221669-uokr4mjq 75 24 expressed express VBN cord-221669-uokr4mjq 75 25 simply simply RB cord-221669-uokr4mjq 75 26 in in IN cord-221669-uokr4mjq 75 27 terms term NNS cord-221669-uokr4mjq 75 28 of of IN cord-221669-uokr4mjq 75 29 the the DT cord-221669-uokr4mjq 75 30 susceptible susceptible JJ cord-221669-uokr4mjq 75 31 ( ( -LRB- cord-221669-uokr4mjq 75 32 S s NN cord-221669-uokr4mjq 75 33 ) ) -RRB- cord-221669-uokr4mjq 75 34 and and CC cord-221669-uokr4mjq 75 35 infected infect VBN cord-221669-uokr4mjq 75 36 ( ( -LRB- cord-221669-uokr4mjq 75 37 I i NN cord-221669-uokr4mjq 75 38 ) ) -RRB- cord-221669-uokr4mjq 75 39 fractions fraction NNS cord-221669-uokr4mjq 75 40 f f NNP cord-221669-uokr4mjq 75 41 S s NN cord-221669-uokr4mjq 75 42 and and CC cord-221669-uokr4mjq 75 43 f f NNP cord-221669-uokr4mjq 75 44 I -PRON- PRP cord-221669-uokr4mjq 75 45 , , , cord-221669-uokr4mjq 75 46 and and CC cord-221669-uokr4mjq 75 47 Our -PRON- PRP$ cord-221669-uokr4mjq 75 48 principle principle JJ cord-221669-uokr4mjq 75 49 task task NN cord-221669-uokr4mjq 75 50 will will MD cord-221669-uokr4mjq 75 51 therefore therefore RB cord-221669-uokr4mjq 75 52 be be VB cord-221669-uokr4mjq 75 53 to to TO cord-221669-uokr4mjq 75 54 solve solve VB cord-221669-uokr4mjq 75 55 the the DT cord-221669-uokr4mjq 75 56 two two CD cord-221669-uokr4mjq 75 57 coupled coupled JJ cord-221669-uokr4mjq 75 58 equations equation NNS cord-221669-uokr4mjq 75 59 for for IN cord-221669-uokr4mjq 75 60 f f NNP cord-221669-uokr4mjq 75 61 S S NNP cord-221669-uokr4mjq 75 62 ( ( -LRB- cord-221669-uokr4mjq 75 63 t t NN cord-221669-uokr4mjq 75 64 ) ) -RRB- cord-221669-uokr4mjq 75 65 and and CC cord-221669-uokr4mjq 75 66 f f LS cord-221669-uokr4mjq 75 67 I -PRON- PRP cord-221669-uokr4mjq 75 68 ( ( -LRB- cord-221669-uokr4mjq 75 69 t t NN cord-221669-uokr4mjq 75 70 ) ) -RRB- cord-221669-uokr4mjq 75 71 , , , cord-221669-uokr4mjq 75 72 the the DT cord-221669-uokr4mjq 75 73 second second JJ cord-221669-uokr4mjq 75 74 and and CC cord-221669-uokr4mjq 75 75 third third JJ cord-221669-uokr4mjq 75 76 equations equation NNS cord-221669-uokr4mjq 75 77 in in IN cord-221669-uokr4mjq 75 78 the the DT cord-221669-uokr4mjq 75 79 set set NN cord-221669-uokr4mjq 75 80 ( ( -LRB- cord-221669-uokr4mjq 75 81 8) 8) NN cord-221669-uokr4mjq 75 82 . . . cord-221669-uokr4mjq 76 1 Since since IN cord-221669-uokr4mjq 76 2 the the DT cord-221669-uokr4mjq 76 3 rate rate NN cord-221669-uokr4mjq 76 4 of of IN cord-221669-uokr4mjq 76 5 increase increase NN cord-221669-uokr4mjq 76 6 of of IN cord-221669-uokr4mjq 76 7 the the DT cord-221669-uokr4mjq 76 8 infected infected JJ cord-221669-uokr4mjq 76 9 fraction fraction NN cord-221669-uokr4mjq 76 10 df df NN cord-221669-uokr4mjq 77 1 I -PRON- PRP cord-221669-uokr4mjq 77 2 /dt /dt . cord-221669-uokr4mjq 77 3 is be VBZ cord-221669-uokr4mjq 77 4 proportional proportional JJ cord-221669-uokr4mjq 77 5 to to IN cord-221669-uokr4mjq 77 6 the the DT cord-221669-uokr4mjq 77 7 product product NN cord-221669-uokr4mjq 77 8 f f NN cord-221669-uokr4mjq 77 9 I i NN cord-221669-uokr4mjq 77 10 f f NNP cord-221669-uokr4mjq 77 11 S S NNP cord-221669-uokr4mjq 77 12 , , , cord-221669-uokr4mjq 77 13 a a DT cord-221669-uokr4mjq 77 14 trivial trivial JJ cord-221669-uokr4mjq 77 15 solution solution NN cord-221669-uokr4mjq 77 16 of of IN cord-221669-uokr4mjq 77 17 the the DT cord-221669-uokr4mjq 77 18 model model NN cord-221669-uokr4mjq 77 19 follows follow VBZ cord-221669-uokr4mjq 77 20 from from IN cord-221669-uokr4mjq 77 21 an an DT cord-221669-uokr4mjq 77 22 initial initial JJ cord-221669-uokr4mjq 77 23 condition condition NN cord-221669-uokr4mjq 77 24 of of IN cord-221669-uokr4mjq 77 25 no no DT cord-221669-uokr4mjq 77 26 infections infection NNS cord-221669-uokr4mjq 77 27 , , , cord-221669-uokr4mjq 77 28 f f LS cord-221669-uokr4mjq 77 29 I -PRON- PRP cord-221669-uokr4mjq 77 30 ( ( -LRB- cord-221669-uokr4mjq 77 31 t t NN cord-221669-uokr4mjq 77 32 = = SYM cord-221669-uokr4mjq 77 33 0 0 CD cord-221669-uokr4mjq 78 1 ) ) -RRB- cord-221669-uokr4mjq 78 2 = = SYM cord-221669-uokr4mjq 78 3 0 0 NFP cord-221669-uokr4mjq 79 1 ; ; : cord-221669-uokr4mjq 79 2 this this DT cord-221669-uokr4mjq 79 3 implies imply VBZ cord-221669-uokr4mjq 79 4 f f IN cord-221669-uokr4mjq 79 5 I i NN cord-221669-uokr4mjq 79 6 ( ( -LRB- cord-221669-uokr4mjq 79 7 t t NN cord-221669-uokr4mjq 79 8 ) ) -RRB- cord-221669-uokr4mjq 79 9 = = SYM cord-221669-uokr4mjq 79 10 0 0 CD cord-221669-uokr4mjq 79 11 , , , cord-221669-uokr4mjq 79 12 i.e. i.e. FW cord-221669-uokr4mjq 79 13 that that IN cord-221669-uokr4mjq 79 14 there there EX cord-221669-uokr4mjq 79 15 are be VBP cord-221669-uokr4mjq 79 16 no no DT cord-221669-uokr4mjq 79 17 infections infection NNS cord-221669-uokr4mjq 79 18 at at IN cord-221669-uokr4mjq 79 19 any any DT cord-221669-uokr4mjq 79 20 later later RB cord-221669-uokr4mjq 79 21 ( ( -LRB- cord-221669-uokr4mjq 79 22 or or CC cord-221669-uokr4mjq 79 23 earlier early JJR cord-221669-uokr4mjq 79 24 ) ) -RRB- cord-221669-uokr4mjq 79 25 time time NN cord-221669-uokr4mjq 79 26 . . . cord-221669-uokr4mjq 80 1 In in IN cord-221669-uokr4mjq 80 2 this this DT cord-221669-uokr4mjq 80 3 limit limit NN cord-221669-uokr4mjq 80 4 all all DT cord-221669-uokr4mjq 80 5 that that WDT cord-221669-uokr4mjq 80 6 happens happen VBZ cord-221669-uokr4mjq 80 7 is be VBZ cord-221669-uokr4mjq 80 8 that that IN cord-221669-uokr4mjq 80 9 the the DT cord-221669-uokr4mjq 80 10 initial initial JJ cord-221669-uokr4mjq 80 11 fully fully RB cord-221669-uokr4mjq 80 12 susceptible susceptible JJ cord-221669-uokr4mjq 80 13 population population NN cord-221669-uokr4mjq 80 14 f f NN cord-221669-uokr4mjq 80 15 S S NNP cord-221669-uokr4mjq 80 16 ( ( -LRB- cord-221669-uokr4mjq 80 17 t t NN cord-221669-uokr4mjq 80 18 = = SYM cord-221669-uokr4mjq 80 19 0 0 CD cord-221669-uokr4mjq 80 20 ) ) -RRB- cord-221669-uokr4mjq 80 21 = = SYM cord-221669-uokr4mjq 80 22 1 1 CD cord-221669-uokr4mjq 80 23 ; ; : cord-221669-uokr4mjq 80 24 f f NNP cord-221669-uokr4mjq 80 25 H h NN cord-221669-uokr4mjq 80 26 ( ( -LRB- cord-221669-uokr4mjq 80 27 t t NN cord-221669-uokr4mjq 80 28 = = SYM cord-221669-uokr4mjq 80 29 0 0 CD cord-221669-uokr4mjq 80 30 ) ) -RRB- cord-221669-uokr4mjq 80 31 = = SYM cord-221669-uokr4mjq 80 32 0 0 NFP cord-221669-uokr4mjq 80 33 evolves evolve VBZ cord-221669-uokr4mjq 80 34 into into IN cord-221669-uokr4mjq 80 35 an an DT cord-221669-uokr4mjq 80 36 increasingly increasingly RB cord-221669-uokr4mjq 80 37 hidden hide VBN cord-221669-uokr4mjq 80 38 population population NN cord-221669-uokr4mjq 80 39 , , , cord-221669-uokr4mjq 80 40 as as IN cord-221669-uokr4mjq 80 41 a a DT cord-221669-uokr4mjq 80 42 decaying decay VBG cord-221669-uokr4mjq 80 43 exponential exponential NN cord-221669-uokr4mjq 80 44 ; ; : cord-221669-uokr4mjq 80 45 In in IN cord-221669-uokr4mjq 80 46 practice practice NN cord-221669-uokr4mjq 80 47 the the DT cord-221669-uokr4mjq 80 48 fraction fraction NN cord-221669-uokr4mjq 80 49 of of IN cord-221669-uokr4mjq 80 50 infected infected JJ cord-221669-uokr4mjq 80 51 individuals individual NNS cord-221669-uokr4mjq 80 52 f f XX cord-221669-uokr4mjq 80 53 I i NN cord-221669-uokr4mjq 80 54 ( ( -LRB- cord-221669-uokr4mjq 80 55 t t NN cord-221669-uokr4mjq 80 56 ) ) -RRB- cord-221669-uokr4mjq 80 57 will will MD cord-221669-uokr4mjq 80 58 usually usually RB cord-221669-uokr4mjq 80 59 be be VB cord-221669-uokr4mjq 80 60 much much RB cord-221669-uokr4mjq 80 61 smaller small JJR cord-221669-uokr4mjq 80 62 than than IN cord-221669-uokr4mjq 80 63 the the DT cord-221669-uokr4mjq 80 64 fraction fraction NN cord-221669-uokr4mjq 80 65 of of IN cord-221669-uokr4mjq 80 66 susceptibles susceptible NNS cord-221669-uokr4mjq 80 67 f f NNP cord-221669-uokr4mjq 80 68 S S NNP cord-221669-uokr4mjq 80 69 ( ( -LRB- cord-221669-uokr4mjq 80 70 t t NN cord-221669-uokr4mjq 80 71 ) ) -RRB- cord-221669-uokr4mjq 80 72 . . . cord-221669-uokr4mjq 81 1 This this DT cord-221669-uokr4mjq 81 2 suggests suggest VBZ cord-221669-uokr4mjq 81 3 that that IN cord-221669-uokr4mjq 81 4 we -PRON- PRP cord-221669-uokr4mjq 81 5 use use VBP cord-221669-uokr4mjq 81 6 the the DT cord-221669-uokr4mjq 81 7 no no DT cord-221669-uokr4mjq 81 8 - - HYPH cord-221669-uokr4mjq 81 9 infection infection NN cord-221669-uokr4mjq 81 10 limit limit NN cord-221669-uokr4mjq 81 11 ( ( -LRB- cord-221669-uokr4mjq 81 12 11 11 CD cord-221669-uokr4mjq 81 13 ) ) -RRB- cord-221669-uokr4mjq 81 14 for for IN cord-221669-uokr4mjq 81 15 f f NNP cord-221669-uokr4mjq 81 16 S S NNP cord-221669-uokr4mjq 81 17 ( ( -LRB- cord-221669-uokr4mjq 81 18 t t NN cord-221669-uokr4mjq 81 19 ) ) -RRB- cord-221669-uokr4mjq 81 20 as as IN cord-221669-uokr4mjq 81 21 a a DT cord-221669-uokr4mjq 81 22 first first JJ cord-221669-uokr4mjq 81 23 approximation approximation NN cord-221669-uokr4mjq 81 24 in in IN cord-221669-uokr4mjq 81 25 determining determine VBG cord-221669-uokr4mjq 81 26 f f XX cord-221669-uokr4mjq 81 27 I i NN cord-221669-uokr4mjq 81 28 ( ( -LRB- cord-221669-uokr4mjq 81 29 t t NN cord-221669-uokr4mjq 81 30 ) ) -RRB- cord-221669-uokr4mjq 81 31 in in IN cord-221669-uokr4mjq 81 32 the the DT cord-221669-uokr4mjq 81 33 small small JJ cord-221669-uokr4mjq 81 34 - - HYPH cord-221669-uokr4mjq 81 35 f f NN cord-221669-uokr4mjq 81 36 I i NN cord-221669-uokr4mjq 81 37 ( ( -LRB- cord-221669-uokr4mjq 81 38 t t NN cord-221669-uokr4mjq 81 39 ) ) -RRB- cord-221669-uokr4mjq 81 40 limit limit NN cord-221669-uokr4mjq 81 41 . . . cord-221669-uokr4mjq 82 1 With with IN cord-221669-uokr4mjq 82 2 this this DT cord-221669-uokr4mjq 82 3 substitution substitution NN cord-221669-uokr4mjq 82 4 , , , cord-221669-uokr4mjq 82 5 we -PRON- PRP cord-221669-uokr4mjq 82 6 find find VBP cord-221669-uokr4mjq 82 7 that that IN cord-221669-uokr4mjq 82 8 the the DT cord-221669-uokr4mjq 82 9 increase increase NN cord-221669-uokr4mjq 82 10 in in IN cord-221669-uokr4mjq 82 11 df df NNP cord-221669-uokr4mjq 82 12 I I NNP cord-221669-uokr4mjq 83 1 /dt /dt NFP cord-221669-uokr4mjq 83 2 , , , cord-221669-uokr4mjq 84 1 the the DT cord-221669-uokr4mjq 84 2 fractional fractional JJ cord-221669-uokr4mjq 84 3 rate rate NN cord-221669-uokr4mjq 84 4 of of IN cord-221669-uokr4mjq 84 5 new new JJ cord-221669-uokr4mjq 84 6 cases case NNS cord-221669-uokr4mjq 84 7 per per IN cord-221669-uokr4mjq 84 8 day day NN cord-221669-uokr4mjq 84 9 , , , cord-221669-uokr4mjq 84 10 will will MD cord-221669-uokr4mjq 84 11 be be VB cord-221669-uokr4mjq 84 12 For for IN cord-221669-uokr4mjq 84 13 completeness completeness NN cord-221669-uokr4mjq 85 1 we -PRON- PRP cord-221669-uokr4mjq 85 2 note note VBP cord-221669-uokr4mjq 85 3 that that IN cord-221669-uokr4mjq 85 4 the the DT cord-221669-uokr4mjq 85 5 rate rate NN cord-221669-uokr4mjq 85 6 of of IN cord-221669-uokr4mjq 85 7 decrease decrease NN cord-221669-uokr4mjq 85 8 of of IN cord-221669-uokr4mjq 85 9 the the DT cord-221669-uokr4mjq 85 10 " " `` cord-221669-uokr4mjq 85 11 active active JJ cord-221669-uokr4mjq 85 12 " " '' cord-221669-uokr4mjq 85 13 ( ( -LRB- cord-221669-uokr4mjq 85 14 still still RB cord-221669-uokr4mjq 85 15 infective infective JJ cord-221669-uokr4mjq 85 16 ) ) -RRB- cord-221669-uokr4mjq 85 17 population population NN cord-221669-uokr4mjq 86 1 fraction fraction NN cord-221669-uokr4mjq 86 2 f f NNP cord-221669-uokr4mjq 86 3 I i NN cord-221669-uokr4mjq 86 4 ( ( -LRB- cord-221669-uokr4mjq 86 5 t t NN cord-221669-uokr4mjq 86 6 ) ) -RRB- cord-221669-uokr4mjq 86 7 per per IN cord-221669-uokr4mjq 86 8 day day NN cord-221669-uokr4mjq 86 9 due due JJ cord-221669-uokr4mjq 86 10 to to IN cord-221669-uokr4mjq 86 11 transitions transition NNS cord-221669-uokr4mjq 86 12 from from IN cord-221669-uokr4mjq 86 13 " " `` cord-221669-uokr4mjq 86 14 infected infect VBN cord-221669-uokr4mjq 86 15 " " '' cord-221669-uokr4mjq 87 1 to to TO cord-221669-uokr4mjq 87 2 " " `` cord-221669-uokr4mjq 87 3 resolved resolve VBN cord-221669-uokr4mjq 87 4 " " '' cord-221669-uokr4mjq 87 5 status status NN cord-221669-uokr4mjq 87 6 is be VBZ cord-221669-uokr4mjq 87 7 given give VBN cord-221669-uokr4mjq 87 8 by by IN cord-221669-uokr4mjq 87 9 so so RB cord-221669-uokr4mjq 87 10 the the DT cord-221669-uokr4mjq 87 11 full full JJ cord-221669-uokr4mjq 87 12 DE DE NNP cord-221669-uokr4mjq 87 13 for for IN cord-221669-uokr4mjq 87 14 f f NNP cord-221669-uokr4mjq 87 15 I i NN cord-221669-uokr4mjq 87 16 ( ( -LRB- cord-221669-uokr4mjq 87 17 t t NN cord-221669-uokr4mjq 87 18 ) ) -RRB- cord-221669-uokr4mjq 87 19 in in IN cord-221669-uokr4mjq 87 20 this this DT cord-221669-uokr4mjq 87 21 small small JJ cord-221669-uokr4mjq 87 22 - - HYPH cord-221669-uokr4mjq 87 23 f f NN cord-221669-uokr4mjq 87 24 I i NN cord-221669-uokr4mjq 87 25 ( ( -LRB- cord-221669-uokr4mjq 87 26 t t NN cord-221669-uokr4mjq 87 27 ) ) -RRB- cord-221669-uokr4mjq 87 28 limit limit VB cord-221669-uokr4mjq 88 1 is be VBZ cord-221669-uokr4mjq 88 2 The the DT cord-221669-uokr4mjq 88 3 formula formula NN cord-221669-uokr4mjq 88 4 for for IN cord-221669-uokr4mjq 88 5 the the DT cord-221669-uokr4mjq 88 6 fractional fractional JJ cord-221669-uokr4mjq 88 7 " " `` cord-221669-uokr4mjq 88 8 new new JJ cord-221669-uokr4mjq 88 9 cases case NNS cord-221669-uokr4mjq 88 10 per per IN cord-221669-uokr4mjq 88 11 day day NN cord-221669-uokr4mjq 88 12 " " '' cord-221669-uokr4mjq 88 13 ( ( -LRB- cord-221669-uokr4mjq 88 14 cpd cpd NNP cord-221669-uokr4mjq 88 15 ) ) -RRB- cord-221669-uokr4mjq 88 16 growth growth NN cord-221669-uokr4mjq 88 17 rate rate NN cord-221669-uokr4mjq 88 18 in in IN cord-221669-uokr4mjq 88 19 the the DT cord-221669-uokr4mjq 88 20 small small JJ cord-221669-uokr4mjq 88 21 - - HYPH cord-221669-uokr4mjq 88 22 f f NN cord-221669-uokr4mjq 88 23 I i NN cord-221669-uokr4mjq 88 24 ( ( -LRB- cord-221669-uokr4mjq 88 25 t t NN cord-221669-uokr4mjq 88 26 ) ) -RRB- cord-221669-uokr4mjq 88 27 approximation approximation NN cord-221669-uokr4mjq 88 28 , , , cord-221669-uokr4mjq 88 29 Eq.(12 Eq.(12 NNP cord-221669-uokr4mjq 88 30 ) ) -RRB- cord-221669-uokr4mjq 88 31 , , , cord-221669-uokr4mjq 88 32 is be VBZ cord-221669-uokr4mjq 88 33 attractive attractive JJ cord-221669-uokr4mjq 88 34 for for IN cord-221669-uokr4mjq 88 35 several several JJ cord-221669-uokr4mjq 88 36 reasons reason NNS cord-221669-uokr4mjq 88 37 . . . cord-221669-uokr4mjq 89 1 First first RB cord-221669-uokr4mjq 89 2 , , , cord-221669-uokr4mjq 89 3 it -PRON- PRP cord-221669-uokr4mjq 89 4 is be VBZ cord-221669-uokr4mjq 89 5 easily easily RB cord-221669-uokr4mjq 89 6 compared compare VBN cord-221669-uokr4mjq 89 7 to to IN cord-221669-uokr4mjq 89 8 data datum NNS cord-221669-uokr4mjq 89 9 , , , cord-221669-uokr4mjq 89 10 since since IN cord-221669-uokr4mjq 89 11 there there EX cord-221669-uokr4mjq 89 12 is be VBZ cord-221669-uokr4mjq 89 13 copious copious JJ cord-221669-uokr4mjq 89 14 information information NN cord-221669-uokr4mjq 89 15 available available JJ cord-221669-uokr4mjq 89 16 from from IN cord-221669-uokr4mjq 89 17 many many JJ cord-221669-uokr4mjq 89 18 countries country NNS cord-221669-uokr4mjq 89 19 regarding regard VBG cord-221669-uokr4mjq 89 20 the the DT cord-221669-uokr4mjq 89 21 number number NN cord-221669-uokr4mjq 89 22 of of IN cord-221669-uokr4mjq 89 23 new new JJ cord-221669-uokr4mjq 89 24 cases case NNS cord-221669-uokr4mjq 89 25 per per IN cord-221669-uokr4mjq 89 26 day day NN cord-221669-uokr4mjq 89 27 . . . cord-221669-uokr4mjq 90 1 ( ( -LRB- cord-221669-uokr4mjq 90 2 This this DT cord-221669-uokr4mjq 90 3 quantity quantity NN cord-221669-uokr4mjq 90 4 is be VBZ cord-221669-uokr4mjq 90 5 simply simply RB cord-221669-uokr4mjq 90 6 N n CD cord-221669-uokr4mjq 90 7 0 0 CD cord-221669-uokr4mjq 90 8 times time NNS cord-221669-uokr4mjq 90 9 the the DT cord-221669-uokr4mjq 90 10 df df NNP cord-221669-uokr4mjq 90 11 ( ( -LRB- cord-221669-uokr4mjq 90 12 in in IN cord-221669-uokr4mjq 90 13 ) ) -RRB- cord-221669-uokr4mjq 91 1 I -PRON- PRP cord-221669-uokr4mjq 91 2 /dt /dt VBP cord-221669-uokr4mjq 91 3 above above RB cord-221669-uokr4mjq 91 4 . . . cord-221669-uokr4mjq 91 5 ) ) -RRB- cord-221669-uokr4mjq 92 1 Second second RB cord-221669-uokr4mjq 92 2 , , , cord-221669-uokr4mjq 92 3 since since IN cord-221669-uokr4mjq 92 4 ( ( -LRB- cord-221669-uokr4mjq 92 5 14 14 CD cord-221669-uokr4mjq 92 6 ) ) -RRB- cord-221669-uokr4mjq 92 7 is be VBZ cord-221669-uokr4mjq 92 8 a a DT cord-221669-uokr4mjq 92 9 linear linear JJ cord-221669-uokr4mjq 92 10 , , , cord-221669-uokr4mjq 92 11 homogeneous homogeneous JJ cord-221669-uokr4mjq 92 12 , , , cord-221669-uokr4mjq 92 13 first first JJ cord-221669-uokr4mjq 92 14 - - HYPH cord-221669-uokr4mjq 92 15 order order NN cord-221669-uokr4mjq 92 16 differential differential JJ cord-221669-uokr4mjq 92 17 equation equation NN cord-221669-uokr4mjq 92 18 involving involve VBG cord-221669-uokr4mjq 92 19 only only RB cord-221669-uokr4mjq 92 20 f f XX cord-221669-uokr4mjq 92 21 I -PRON- PRP cord-221669-uokr4mjq 92 22 ( ( -LRB- cord-221669-uokr4mjq 92 23 t t NN cord-221669-uokr4mjq 92 24 ) ) -RRB- cord-221669-uokr4mjq 92 25 , , , cord-221669-uokr4mjq 92 26 and and CC cord-221669-uokr4mjq 92 27 the the DT cord-221669-uokr4mjq 92 28 associated associate VBN cord-221669-uokr4mjq 92 29 integral integral JJ cord-221669-uokr4mjq 92 30 over over IN cord-221669-uokr4mjq 92 31 time time NN cord-221669-uokr4mjq 92 32 is be VBZ cord-221669-uokr4mjq 92 33 tractable tractable JJ cord-221669-uokr4mjq 92 34 , , , cord-221669-uokr4mjq 92 35 we -PRON- PRP cord-221669-uokr4mjq 92 36 may may MD cord-221669-uokr4mjq 92 37 solve solve VB cord-221669-uokr4mjq 92 38 for for IN cord-221669-uokr4mjq 92 39 f f NNP cord-221669-uokr4mjq 92 40 I i NN cord-221669-uokr4mjq 92 41 ( ( -LRB- cord-221669-uokr4mjq 92 42 t t NN cord-221669-uokr4mjq 92 43 ) ) -RRB- cord-221669-uokr4mjq 92 44 analytically analytically RB cord-221669-uokr4mjq 92 45 in in IN cord-221669-uokr4mjq 92 46 this this DT cord-221669-uokr4mjq 92 47 small small JJ cord-221669-uokr4mjq 92 48 - - HYPH cord-221669-uokr4mjq 92 49 f f NN cord-221669-uokr4mjq 92 50 I i NN cord-221669-uokr4mjq 92 51 ( ( -LRB- cord-221669-uokr4mjq 92 52 t t NN cord-221669-uokr4mjq 92 53 ) ) -RRB- cord-221669-uokr4mjq 92 54 approximation approximation NN cord-221669-uokr4mjq 92 55 . . . cord-221669-uokr4mjq 93 1 In in IN cord-221669-uokr4mjq 93 2 the the DT cord-221669-uokr4mjq 93 3 early early JJ cord-221669-uokr4mjq 93 4 and and CC cord-221669-uokr4mjq 93 5 intermediate intermediate JJ cord-221669-uokr4mjq 93 6 stages stage NNS cord-221669-uokr4mjq 93 7 of of IN cord-221669-uokr4mjq 93 8 a a DT cord-221669-uokr4mjq 93 9 pandemic pandemic NN cord-221669-uokr4mjq 93 10 in in IN cord-221669-uokr4mjq 93 11 which which WDT cord-221669-uokr4mjq 93 12 the the DT cord-221669-uokr4mjq 93 13 infected infected JJ cord-221669-uokr4mjq 93 14 fraction fraction NN cord-221669-uokr4mjq 93 15 still still RB cord-221669-uokr4mjq 93 16 dominates dominate VBZ cord-221669-uokr4mjq 93 17 the the DT cord-221669-uokr4mjq 93 18 resolved resolve VBN cord-221669-uokr4mjq 93 19 fraction fraction NN cord-221669-uokr4mjq 93 20 , , , cord-221669-uokr4mjq 93 21 we -PRON- PRP cord-221669-uokr4mjq 93 22 can can MD cord-221669-uokr4mjq 93 23 ignore ignore VB cord-221669-uokr4mjq 93 24 the the DT cord-221669-uokr4mjq 93 25 assumed assume VBN cord-221669-uokr4mjq 93 26 slower slow JJR cord-221669-uokr4mjq 93 27 transition transition NN cord-221669-uokr4mjq 93 28 of of IN cord-221669-uokr4mjq 93 29 infected infect VBN cord-221669-uokr4mjq 93 30 to to IN cord-221669-uokr4mjq 93 31 resolved resolve VBN cord-221669-uokr4mjq 93 32 by by IN cord-221669-uokr4mjq 93 33 setting set VBG cord-221669-uokr4mjq 93 34 r r NN cord-221669-uokr4mjq 93 35 R r NN cord-221669-uokr4mjq 93 36 = = SYM cord-221669-uokr4mjq 93 37 0 0 CD cord-221669-uokr4mjq 93 38 , , , cord-221669-uokr4mjq 93 39 which which WDT cord-221669-uokr4mjq 93 40 gives give VBZ cord-221669-uokr4mjq 93 41 lim lim NNP cord-221669-uokr4mjq 93 42 S>>I>>R S>>I>>R NNP cord-221669-uokr4mjq 93 43 df df NNP cord-221669-uokr4mjq 93 44 I i NN cord-221669-uokr4mjq 94 1 /dt /dt . cord-221669-uokr4mjq 95 1 = = NFP cord-221669-uokr4mjq 96 1 + + CC cord-221669-uokr4mjq 96 2 r r NN cord-221669-uokr4mjq 97 1 I -PRON- PRP cord-221669-uokr4mjq 97 2 e e CD cord-221669-uokr4mjq 97 3 −rHt −rHt . cord-221669-uokr4mjq 98 1 f f LS cord-221669-uokr4mjq 98 2 I -PRON- PRP cord-221669-uokr4mjq 98 3 . . . cord-221669-uokr4mjq 99 1 This this DT cord-221669-uokr4mjq 99 2 relation relation NN cord-221669-uokr4mjq 99 3 is be VBZ cord-221669-uokr4mjq 99 4 especially especially RB cord-221669-uokr4mjq 99 5 amenable amenable JJ cord-221669-uokr4mjq 99 6 to to IN cord-221669-uokr4mjq 99 7 comparison comparison NN cord-221669-uokr4mjq 99 8 with with IN cord-221669-uokr4mjq 99 9 data datum NNS cord-221669-uokr4mjq 99 10 , , , cord-221669-uokr4mjq 99 11 as as IN cord-221669-uokr4mjq 99 12 it -PRON- PRP cord-221669-uokr4mjq 99 13 relates relate VBZ cord-221669-uokr4mjq 99 14 two two CD cord-221669-uokr4mjq 99 15 observed observed JJ cord-221669-uokr4mjq 99 16 quantities quantity NNS cord-221669-uokr4mjq 99 17 , , , cord-221669-uokr4mjq 99 18 the the DT cord-221669-uokr4mjq 99 19 number number NN cord-221669-uokr4mjq 99 20 of of IN cord-221669-uokr4mjq 99 21 new new JJ cord-221669-uokr4mjq 99 22 cases case NNS cord-221669-uokr4mjq 99 23 per per IN cord-221669-uokr4mjq 99 24 day day NN cord-221669-uokr4mjq 99 25 ( ( -LRB- cord-221669-uokr4mjq 99 26 N n NN cord-221669-uokr4mjq 99 27 0 0 CD cord-221669-uokr4mjq 99 28 df df NNP cord-221669-uokr4mjq 99 29 I i NN cord-221669-uokr4mjq 99 30 ( ( -LRB- cord-221669-uokr4mjq 99 31 t)/dt t)/dt VBG cord-221669-uokr4mjq 99 32 ) ) -RRB- cord-221669-uokr4mjq 99 33 and and CC cord-221669-uokr4mjq 99 34 the the DT cord-221669-uokr4mjq 99 35 cumulative cumulative JJ cord-221669-uokr4mjq 99 36 number number NN cord-221669-uokr4mjq 99 37 of of IN cord-221669-uokr4mjq 99 38 cases case NNS cord-221669-uokr4mjq 99 39 ( ( -LRB- cord-221669-uokr4mjq 99 40 N n NN cord-221669-uokr4mjq 99 41 0 0 NN cord-221669-uokr4mjq 99 42 f f XX cord-221669-uokr4mjq 99 43 I -PRON- PRP cord-221669-uokr4mjq 99 44 ( ( -LRB- cord-221669-uokr4mjq 99 45 t t NN cord-221669-uokr4mjq 99 46 ) ) -RRB- cord-221669-uokr4mjq 99 47 ) ) -RRB- cord-221669-uokr4mjq 99 48 , , , cord-221669-uokr4mjq 99 49 assuming assume VBG cord-221669-uokr4mjq 99 50 that that IN cord-221669-uokr4mjq 99 51 N n NN cord-221669-uokr4mjq 99 52 0 0 NN cord-221669-uokr4mjq 99 53 f f NN cord-221669-uokr4mjq 99 54 R r NN cord-221669-uokr4mjq 99 55 ( ( -LRB- cord-221669-uokr4mjq 99 56 t t NN cord-221669-uokr4mjq 99 57 ) ) -RRB- cord-221669-uokr4mjq 99 58 can can MD cord-221669-uokr4mjq 99 59 be be VB cord-221669-uokr4mjq 99 60 neglected neglect VBN cord-221669-uokr4mjq 99 61 . . . cord-221669-uokr4mjq 100 1 The the DT cord-221669-uokr4mjq 100 2 SHIR SHIR NNP cord-221669-uokr4mjq 100 3 model model NN cord-221669-uokr4mjq 100 4 in in IN cord-221669-uokr4mjq 100 5 this this DT cord-221669-uokr4mjq 100 6 small small JJ cord-221669-uokr4mjq 100 7 - - HYPH cord-221669-uokr4mjq 100 8 infectedfraction infectedfraction NN cord-221669-uokr4mjq 100 9 limit limit NN cord-221669-uokr4mjq 100 10 predicts predict VBZ cord-221669-uokr4mjq 100 11 that that IN cord-221669-uokr4mjq 100 12 this this DT cord-221669-uokr4mjq 100 13 ratio ratio NN cord-221669-uokr4mjq 100 14 should should MD cord-221669-uokr4mjq 100 15 be be VB cord-221669-uokr4mjq 100 16 a a DT cord-221669-uokr4mjq 100 17 decaying decay VBG cord-221669-uokr4mjq 100 18 exponential exponential NN cord-221669-uokr4mjq 100 19 in in IN cord-221669-uokr4mjq 100 20 time time NN cord-221669-uokr4mjq 100 21 , , , cord-221669-uokr4mjq 101 1 In in IN cord-221669-uokr4mjq 101 2 the the DT cord-221669-uokr4mjq 101 3 following following JJ cord-221669-uokr4mjq 101 4 section section NN cord-221669-uokr4mjq 101 5 we -PRON- PRP cord-221669-uokr4mjq 101 6 will will MD cord-221669-uokr4mjq 101 7 compare compare VB cord-221669-uokr4mjq 101 8 the the DT cord-221669-uokr4mjq 101 9 expected expect VBN cord-221669-uokr4mjq 101 10 time time NN cord-221669-uokr4mjq 101 11 dependence dependence NN cord-221669-uokr4mjq 101 12 of of IN cord-221669-uokr4mjq 101 13 several several JJ cord-221669-uokr4mjq 101 14 pandemic pandemic NN cord-221669-uokr4mjq 101 15 models model NNS cord-221669-uokr4mjq 101 16 to to IN cord-221669-uokr4mjq 101 17 COVID-19 covid-19 VB cord-221669-uokr4mjq 101 18 data datum NNS cord-221669-uokr4mjq 101 19 , , , cord-221669-uokr4mjq 101 20 including include VBG cord-221669-uokr4mjq 101 21 the the DT cord-221669-uokr4mjq 101 22 SHIR SHIR NNP cord-221669-uokr4mjq 101 23 model model NN cord-221669-uokr4mjq 101 24 prediction prediction NN cord-221669-uokr4mjq 101 25 ( ( -LRB- cord-221669-uokr4mjq 101 26 16 16 CD cord-221669-uokr4mjq 101 27 ) ) -RRB- cord-221669-uokr4mjq 101 28 . . . cord-221669-uokr4mjq 102 1 We -PRON- PRP cord-221669-uokr4mjq 102 2 will will MD cord-221669-uokr4mjq 102 3 follow follow VB cord-221669-uokr4mjq 102 4 this this DT cord-221669-uokr4mjq 102 5 with with IN cord-221669-uokr4mjq 102 6 more more RBR cord-221669-uokr4mjq 102 7 detailed detailed JJ cord-221669-uokr4mjq 102 8 SHIR SHIR NNP cord-221669-uokr4mjq 102 9 - - HYPH cord-221669-uokr4mjq 102 10 model model NN cord-221669-uokr4mjq 102 11 calculations calculation NNS cord-221669-uokr4mjq 102 12 of of IN cord-221669-uokr4mjq 102 13 the the DT cord-221669-uokr4mjq 102 14 cumulative cumulative JJ cord-221669-uokr4mjq 102 15 case case NN cord-221669-uokr4mjq 102 16 numbers number NNS cord-221669-uokr4mjq 102 17 N n NN cord-221669-uokr4mjq 102 18 0 0 CD cord-221669-uokr4mjq 102 19 f f XX cord-221669-uokr4mjq 103 1 I -PRON- PRP cord-221669-uokr4mjq 103 2 ( ( -LRB- cord-221669-uokr4mjq 103 3 t t NN cord-221669-uokr4mjq 103 4 ) ) -RRB- cord-221669-uokr4mjq 103 5 and and CC cord-221669-uokr4mjq 103 6 especially especially RB cord-221669-uokr4mjq 103 7 the the DT cord-221669-uokr4mjq 103 8 new new JJ cord-221669-uokr4mjq 103 9 cases case NNS cord-221669-uokr4mjq 103 10 per per IN cord-221669-uokr4mjq 103 11 day day NN cord-221669-uokr4mjq 103 12 ( ( -LRB- cord-221669-uokr4mjq 103 13 cpd cpd NNP cord-221669-uokr4mjq 103 14 ) ) -RRB- cord-221669-uokr4mjq 103 15 , , , cord-221669-uokr4mjq 103 16 N n CD cord-221669-uokr4mjq 103 17 0 0 CD cord-221669-uokr4mjq 103 18 df df NNP cord-221669-uokr4mjq 103 19 I i NN cord-221669-uokr4mjq 103 20 ( ( -LRB- cord-221669-uokr4mjq 103 21 t)/dt t)/dt VBG cord-221669-uokr4mjq 103 22 , , , cord-221669-uokr4mjq 103 23 and and CC cord-221669-uokr4mjq 103 24 will will MD cord-221669-uokr4mjq 103 25 describe describe VB cord-221669-uokr4mjq 103 26 detailed detailed JJ cord-221669-uokr4mjq 103 27 fits fit NNS cord-221669-uokr4mjq 103 28 of of IN cord-221669-uokr4mjq 103 29 these these DT cord-221669-uokr4mjq 103 30 functions function NNS cord-221669-uokr4mjq 103 31 to to IN cord-221669-uokr4mjq 103 32 COVID-19 covid-19 VB cord-221669-uokr4mjq 103 33 data datum NNS cord-221669-uokr4mjq 103 34 from from IN cord-221669-uokr4mjq 103 35 a a DT cord-221669-uokr4mjq 103 36 range range NN cord-221669-uokr4mjq 103 37 of of IN cord-221669-uokr4mjq 103 38 countries country NNS cord-221669-uokr4mjq 103 39 . . . cord-221669-uokr4mjq 104 1 Here here RB cord-221669-uokr4mjq 104 2 we -PRON- PRP cord-221669-uokr4mjq 104 3 will will MD cord-221669-uokr4mjq 104 4 first first RB cord-221669-uokr4mjq 104 5 discuss discuss VB cord-221669-uokr4mjq 104 6 the the DT cord-221669-uokr4mjq 104 7 time time NN cord-221669-uokr4mjq 104 8 dependence dependence NN cord-221669-uokr4mjq 104 9 predicted predict VBN cord-221669-uokr4mjq 104 10 by by IN cord-221669-uokr4mjq 104 11 two two CD cord-221669-uokr4mjq 104 12 familiar familiar JJ cord-221669-uokr4mjq 104 13 dynamic dynamic JJ cord-221669-uokr4mjq 104 14 models model NNS cord-221669-uokr4mjq 104 15 of of IN cord-221669-uokr4mjq 104 16 pandemics pandemic NNS cord-221669-uokr4mjq 104 17 , , , cord-221669-uokr4mjq 104 18 and and CC cord-221669-uokr4mjq 104 19 will will MD cord-221669-uokr4mjq 104 20 show show VB cord-221669-uokr4mjq 104 21 how how WRB cord-221669-uokr4mjq 104 22 these these DT cord-221669-uokr4mjq 104 23 models model NNS cord-221669-uokr4mjq 104 24 can can MD cord-221669-uokr4mjq 104 25 be be VB cord-221669-uokr4mjq 104 26 compared compare VBN cord-221669-uokr4mjq 104 27 to to IN cord-221669-uokr4mjq 104 28 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 104 29 data datum NNS cord-221669-uokr4mjq 104 30 . . . cord-221669-uokr4mjq 105 1 We -PRON- PRP cord-221669-uokr4mjq 105 2 will will MD cord-221669-uokr4mjq 105 3 find find VB cord-221669-uokr4mjq 105 4 that that IN cord-221669-uokr4mjq 105 5 there there EX cord-221669-uokr4mjq 105 6 are be VBP cord-221669-uokr4mjq 105 7 serious serious JJ cord-221669-uokr4mjq 105 8 difficulties difficulty NNS cord-221669-uokr4mjq 105 9 in in IN cord-221669-uokr4mjq 105 10 applying apply VBG cord-221669-uokr4mjq 105 11 these these DT cord-221669-uokr4mjq 105 12 simple simple JJ cord-221669-uokr4mjq 105 13 models model NNS cord-221669-uokr4mjq 105 14 to to TO cord-221669-uokr4mjq 105 15 COVID-19 covid-19 VB cord-221669-uokr4mjq 105 16 . . . cord-221669-uokr4mjq 106 1 In in IN cord-221669-uokr4mjq 106 2 this this DT cord-221669-uokr4mjq 106 3 discussion discussion NN cord-221669-uokr4mjq 106 4 we -PRON- PRP cord-221669-uokr4mjq 106 5 will will MD cord-221669-uokr4mjq 106 6 consider consider VB cord-221669-uokr4mjq 106 7 only only RB cord-221669-uokr4mjq 106 8 the the DT cord-221669-uokr4mjq 106 9 cumulative cumulative JJ cord-221669-uokr4mjq 106 10 number number NN cord-221669-uokr4mjq 106 11 of of IN cord-221669-uokr4mjq 106 12 cases case NNS cord-221669-uokr4mjq 106 13 as as IN cord-221669-uokr4mjq 106 14 a a DT cord-221669-uokr4mjq 106 15 function function NN cord-221669-uokr4mjq 106 16 of of IN cord-221669-uokr4mjq 106 17 time time NN cord-221669-uokr4mjq 106 18 ( ( -LRB- cord-221669-uokr4mjq 106 19 here here RB cord-221669-uokr4mjq 106 20 called call VBN cord-221669-uokr4mjq 106 21 P(t P(t NNP cord-221669-uokr4mjq 106 22 ) ) -RRB- cord-221669-uokr4mjq 106 23 ) ) -RRB- cord-221669-uokr4mjq 106 24 , , , cord-221669-uokr4mjq 106 25 and and CC cord-221669-uokr4mjq 106 26 the the DT cord-221669-uokr4mjq 106 27 rate rate NN cord-221669-uokr4mjq 106 28 of of IN cord-221669-uokr4mjq 106 29 appearance appearance NN cord-221669-uokr4mjq 106 30 of of IN cord-221669-uokr4mjq 106 31 new new JJ cord-221669-uokr4mjq 106 32 cases case NNS cord-221669-uokr4mjq 106 33 per per IN cord-221669-uokr4mjq 106 34 day day NN cord-221669-uokr4mjq 106 35 , , , cord-221669-uokr4mjq 106 36 dP dP NNP cord-221669-uokr4mjq 106 37 / / SYM cord-221669-uokr4mjq 106 38 dt dt NN cord-221669-uokr4mjq 106 39 . . . cord-221669-uokr4mjq 107 1 These these DT cord-221669-uokr4mjq 107 2 numbers number NNS cord-221669-uokr4mjq 107 3 are be VBP cord-221669-uokr4mjq 107 4 widely widely RB cord-221669-uokr4mjq 107 5 reported report VBN cord-221669-uokr4mjq 107 6 for for IN cord-221669-uokr4mjq 107 7 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 107 8 , , , cord-221669-uokr4mjq 107 9 and and CC cord-221669-uokr4mjq 107 10 require require VB cord-221669-uokr4mjq 107 11 little little JJ cord-221669-uokr4mjq 107 12 interpretation interpretation NN cord-221669-uokr4mjq 107 13 . . . cord-221669-uokr4mjq 108 1 One one CD cord-221669-uokr4mjq 108 2 important important JJ cord-221669-uokr4mjq 108 3 point point NN cord-221669-uokr4mjq 108 4 is be VBZ cord-221669-uokr4mjq 108 5 that that IN cord-221669-uokr4mjq 108 6 the the DT cord-221669-uokr4mjq 108 7 number number NN cord-221669-uokr4mjq 108 8 of of IN cord-221669-uokr4mjq 108 9 cumulative cumulative JJ cord-221669-uokr4mjq 108 10 cases case NNS cord-221669-uokr4mjq 108 11 to to IN cord-221669-uokr4mjq 108 12 time time NN cord-221669-uokr4mjq 108 13 t t NN cord-221669-uokr4mjq 108 14 , , , cord-221669-uokr4mjq 108 15 P(t P(t NNP cord-221669-uokr4mjq 108 16 ) ) -RRB- cord-221669-uokr4mjq 108 17 , , , cord-221669-uokr4mjq 108 18 is be VBZ cord-221669-uokr4mjq 108 19 the the DT cord-221669-uokr4mjq 108 20 sum sum NN cord-221669-uokr4mjq 108 21 of of IN cord-221669-uokr4mjq 108 22 the the DT cord-221669-uokr4mjq 108 23 infected infected JJ cord-221669-uokr4mjq 108 24 I(t I(t NNP cord-221669-uokr4mjq 108 25 ) ) -RRB- cord-221669-uokr4mjq 108 26 and and CC cord-221669-uokr4mjq 108 27 the the DT cord-221669-uokr4mjq 108 28 resolved resolve VBN cord-221669-uokr4mjq 108 29 R(t R(t NNP cord-221669-uokr4mjq 108 30 ) ) -RRB- cord-221669-uokr4mjq 108 31 populations population NNS cord-221669-uokr4mjq 108 32 distinguished distinguish VBN cord-221669-uokr4mjq 108 33 in in IN cord-221669-uokr4mjq 108 34 the the DT cord-221669-uokr4mjq 108 35 previous previous JJ cord-221669-uokr4mjq 108 36 section section NN cord-221669-uokr4mjq 108 37 ; ; : cord-221669-uokr4mjq 108 38 As as IN cord-221669-uokr4mjq 108 39 a a DT cord-221669-uokr4mjq 108 40 first first JJ cord-221669-uokr4mjq 108 41 , , , cord-221669-uokr4mjq 108 42 simplest simplest JJ cord-221669-uokr4mjq 108 43 model model NN cord-221669-uokr4mjq 108 44 of of IN cord-221669-uokr4mjq 108 45 the the DT cord-221669-uokr4mjq 108 46 growth growth NN cord-221669-uokr4mjq 108 47 of of IN cord-221669-uokr4mjq 108 48 a a DT cord-221669-uokr4mjq 108 49 pandemic pandemic NN cord-221669-uokr4mjq 108 50 , , , cord-221669-uokr4mjq 108 51 one one PRP cord-221669-uokr4mjq 108 52 can can MD cord-221669-uokr4mjq 108 53 assume assume VB cord-221669-uokr4mjq 108 54 that that IN cord-221669-uokr4mjq 108 55 the the DT cord-221669-uokr4mjq 108 56 rate rate NN cord-221669-uokr4mjq 108 57 of of IN cord-221669-uokr4mjq 108 58 change change NN cord-221669-uokr4mjq 108 59 of of IN cord-221669-uokr4mjq 108 60 the the DT cord-221669-uokr4mjq 108 61 number number NN cord-221669-uokr4mjq 108 62 of of IN cord-221669-uokr4mjq 108 63 cases case NNS cord-221669-uokr4mjq 109 1 dP dP NNP cord-221669-uokr4mjq 109 2 / / SYM cord-221669-uokr4mjq 109 3 dt dt NNP cord-221669-uokr4mjq 109 4 is be VBZ cord-221669-uokr4mjq 109 5 proportional proportional JJ cord-221669-uokr4mjq 109 6 to to IN cord-221669-uokr4mjq 109 7 the the DT cord-221669-uokr4mjq 109 8 number number NN cord-221669-uokr4mjq 109 9 of of IN cord-221669-uokr4mjq 109 10 cases case NNS cord-221669-uokr4mjq 109 11 P p NN cord-221669-uokr4mjq 109 12 , , , cord-221669-uokr4mjq 110 1 The the DT cord-221669-uokr4mjq 110 2 solution solution NN cord-221669-uokr4mjq 110 3 of of IN cord-221669-uokr4mjq 110 4 this this DT cord-221669-uokr4mjq 110 5 differential differential JJ cord-221669-uokr4mjq 110 6 equation equation NN cord-221669-uokr4mjq 110 7 is be VBZ cord-221669-uokr4mjq 110 8 an an DT cord-221669-uokr4mjq 110 9 exponential exponential JJ cord-221669-uokr4mjq 110 10 times time NNS cord-221669-uokr4mjq 110 11 the the DT cord-221669-uokr4mjq 110 12 number number NN cord-221669-uokr4mjq 110 13 of of IN cord-221669-uokr4mjq 110 14 cases case NNS cord-221669-uokr4mjq 110 15 at at IN cord-221669-uokr4mjq 110 16 some some DT cord-221669-uokr4mjq 110 17 arbitrary arbitrary JJ cord-221669-uokr4mjq 110 18 initial initial JJ cord-221669-uokr4mjq 110 19 time time NN cord-221669-uokr4mjq 110 20 , , , cord-221669-uokr4mjq 110 21 This this DT cord-221669-uokr4mjq 110 22 simple simple JJ cord-221669-uokr4mjq 110 23 model model NN cord-221669-uokr4mjq 110 24 clearly clearly RB cord-221669-uokr4mjq 110 25 makes make VBZ cord-221669-uokr4mjq 110 26 unrealistic unrealistic JJ cord-221669-uokr4mjq 110 27 assumptions assumption NNS cord-221669-uokr4mjq 110 28 , , , cord-221669-uokr4mjq 110 29 notably notably RB cord-221669-uokr4mjq 110 30 that that IN cord-221669-uokr4mjq 110 31 there there EX cord-221669-uokr4mjq 110 32 are be VBP cord-221669-uokr4mjq 110 33 infinitely infinitely RB cord-221669-uokr4mjq 110 34 many many JJ cord-221669-uokr4mjq 110 35 potential potential JJ cord-221669-uokr4mjq 110 36 cases case NNS cord-221669-uokr4mjq 110 37 . . . cord-221669-uokr4mjq 111 1 It -PRON- PRP cord-221669-uokr4mjq 111 2 also also RB cord-221669-uokr4mjq 111 3 neglects neglect VBZ cord-221669-uokr4mjq 111 4 spatial spatial JJ cord-221669-uokr4mjq 111 5 dependence dependence NN cord-221669-uokr4mjq 111 6 or or CC cord-221669-uokr4mjq 111 7 other other JJ cord-221669-uokr4mjq 111 8 " " `` cord-221669-uokr4mjq 111 9 local local JJ cord-221669-uokr4mjq 111 10 " " '' cord-221669-uokr4mjq 111 11 aspects aspect NNS cord-221669-uokr4mjq 111 12 of of IN cord-221669-uokr4mjq 111 13 the the DT cord-221669-uokr4mjq 111 14 problem problem NN cord-221669-uokr4mjq 111 15 , , , cord-221669-uokr4mjq 111 16 as as RB cord-221669-uokr4mjq 111 17 well well RB cord-221669-uokr4mjq 111 18 as as IN cord-221669-uokr4mjq 111 19 the the DT cord-221669-uokr4mjq 111 20 effect effect NN cord-221669-uokr4mjq 111 21 of of IN cord-221669-uokr4mjq 111 22 transitions transition NNS cord-221669-uokr4mjq 111 23 from from IN cord-221669-uokr4mjq 111 24 infected infect VBN cord-221669-uokr4mjq 111 25 to to IN cord-221669-uokr4mjq 111 26 resolved resolve VBN cord-221669-uokr4mjq 111 27 individuals individual NNS cord-221669-uokr4mjq 111 28 who who WP cord-221669-uokr4mjq 111 29 are be VBP cord-221669-uokr4mjq 111 30 no no RB cord-221669-uokr4mjq 111 31 longer long RBR cord-221669-uokr4mjq 111 32 infective infective JJ cord-221669-uokr4mjq 111 33 . . . cord-221669-uokr4mjq 112 1 This this DT cord-221669-uokr4mjq 112 2 exponential exponential JJ cord-221669-uokr4mjq 112 3 model model NN cord-221669-uokr4mjq 112 4 predicts predict VBZ cord-221669-uokr4mjq 112 5 that that IN cord-221669-uokr4mjq 112 6 the the DT cord-221669-uokr4mjq 112 7 ratio ratio NN cord-221669-uokr4mjq 112 8 of of IN cord-221669-uokr4mjq 112 9 new new JJ cord-221669-uokr4mjq 112 10 cases case NNS cord-221669-uokr4mjq 112 11 per per IN cord-221669-uokr4mjq 112 12 day day NN cord-221669-uokr4mjq 112 13 to to IN cord-221669-uokr4mjq 112 14 cumulative cumulative JJ cord-221669-uokr4mjq 112 15 cases case NNS cord-221669-uokr4mjq 112 16 should should MD cord-221669-uokr4mjq 112 17 be be VB cord-221669-uokr4mjq 112 18 a a DT cord-221669-uokr4mjq 112 19 constant constant NN cord-221669-uokr4mjq 112 20 , , , cord-221669-uokr4mjq 113 1 In in IN cord-221669-uokr4mjq 113 2 Fig.3 Fig.3 NNS cord-221669-uokr4mjq 113 3 we -PRON- PRP cord-221669-uokr4mjq 113 4 compare compare VBP cord-221669-uokr4mjq 113 5 this this DT cord-221669-uokr4mjq 113 6 expectation expectation NN cord-221669-uokr4mjq 113 7 to to IN cord-221669-uokr4mjq 113 8 the the DT cord-221669-uokr4mjq 113 9 ratio ratio NN cord-221669-uokr4mjq 113 10 of of IN cord-221669-uokr4mjq 113 11 new new JJ cord-221669-uokr4mjq 113 12 cases case NNS cord-221669-uokr4mjq 113 13 reported report VBN cord-221669-uokr4mjq 113 14 per per IN cord-221669-uokr4mjq 113 15 day day NN cord-221669-uokr4mjq 113 16 ( ( -LRB- cord-221669-uokr4mjq 113 17 ∆P/∆t ∆P/∆t NNP cord-221669-uokr4mjq 113 18 ) ) -RRB- cord-221669-uokr4mjq 113 19 to to IN cord-221669-uokr4mjq 113 20 the the DT cord-221669-uokr4mjq 113 21 cumulative cumulative JJ cord-221669-uokr4mjq 113 22 number number NN cord-221669-uokr4mjq 113 23 of of IN cord-221669-uokr4mjq 113 24 cases case NNS cord-221669-uokr4mjq 113 25 ( ( -LRB- cord-221669-uokr4mjq 113 26 P p NN cord-221669-uokr4mjq 113 27 ) ) -RRB- cord-221669-uokr4mjq 113 28 for for IN cord-221669-uokr4mjq 113 29 the the DT cord-221669-uokr4mjq 113 30 UK UK NNP cord-221669-uokr4mjq 113 31 , , , cord-221669-uokr4mjq 113 32 using use VBG cord-221669-uokr4mjq 113 33 data datum NNS cord-221669-uokr4mjq 113 34 from from IN cord-221669-uokr4mjq 113 35 Ref Ref NNP cord-221669-uokr4mjq 113 36 . . . cord-221669-uokr4mjq 114 1 [ [ -LRB- cord-221669-uokr4mjq 114 2 7 7 CD cord-221669-uokr4mjq 114 3 ] ] -RRB- cord-221669-uokr4mjq 114 4 over over IN cord-221669-uokr4mjq 114 5 the the DT cord-221669-uokr4mjq 114 6 period period NN cord-221669-uokr4mjq 114 7 18 18 CD cord-221669-uokr4mjq 114 8 Mar Mar NNP cord-221669-uokr4mjq 114 9 -04 -04 NNP cord-221669-uokr4mjq 114 10 May May NNP cord-221669-uokr4mjq 114 11 2020 2020 CD cord-221669-uokr4mjq 114 12 . . . cord-221669-uokr4mjq 115 1 Evidently evidently RB cord-221669-uokr4mjq 115 2 this this DT cord-221669-uokr4mjq 115 3 ratio ratio NN cord-221669-uokr4mjq 115 4 is be VBZ cord-221669-uokr4mjq 115 5 far far RB cord-221669-uokr4mjq 115 6 from from IN cord-221669-uokr4mjq 115 7 constant constant JJ cord-221669-uokr4mjq 115 8 ; ; : cord-221669-uokr4mjq 115 9 it -PRON- PRP cord-221669-uokr4mjq 115 10 falls fall VBZ cord-221669-uokr4mjq 115 11 by by IN cord-221669-uokr4mjq 115 12 about about IN cord-221669-uokr4mjq 115 13 a a DT cord-221669-uokr4mjq 115 14 factor factor NN cord-221669-uokr4mjq 115 15 of of IN cord-221669-uokr4mjq 115 16 10 10 CD cord-221669-uokr4mjq 115 17 over over IN cord-221669-uokr4mjq 115 18 the the DT cord-221669-uokr4mjq 115 19 47-day 47-day CD cord-221669-uokr4mjq 115 20 period period NN cord-221669-uokr4mjq 115 21 shown show VBN cord-221669-uokr4mjq 115 22 . . . cord-221669-uokr4mjq 116 1 The the DT cord-221669-uokr4mjq 116 2 simple simple JJ cord-221669-uokr4mjq 116 3 exponential exponential JJ cord-221669-uokr4mjq 116 4 model model NN cord-221669-uokr4mjq 116 5 can can MD cord-221669-uokr4mjq 116 6 be be VB cord-221669-uokr4mjq 116 7 improved improve VBN cord-221669-uokr4mjq 116 8 through through IN cord-221669-uokr4mjq 116 9 the the DT cord-221669-uokr4mjq 116 10 introduction introduction NN cord-221669-uokr4mjq 116 11 of of IN cord-221669-uokr4mjq 116 12 a a DT cord-221669-uokr4mjq 116 13 limit limit NN cord-221669-uokr4mjq 116 14 in in IN cord-221669-uokr4mjq 116 15 the the DT cord-221669-uokr4mjq 116 16 number number NN cord-221669-uokr4mjq 116 17 of of IN cord-221669-uokr4mjq 116 18 the the DT cord-221669-uokr4mjq 116 19 population population NN cord-221669-uokr4mjq 116 20 that that WDT cord-221669-uokr4mjq 116 21 can can MD cord-221669-uokr4mjq 116 22 be be VB cord-221669-uokr4mjq 116 23 infected infect VBN cord-221669-uokr4mjq 116 24 , , , cord-221669-uokr4mjq 116 25 P p NN cord-221669-uokr4mjq 116 26 max max NN cord-221669-uokr4mjq 116 27 . . . cord-221669-uokr4mjq 117 1 One one PRP cord-221669-uokr4mjq 117 2 can can MD cord-221669-uokr4mjq 117 3 assume assume VB cord-221669-uokr4mjq 117 4 that that IN cord-221669-uokr4mjq 117 5 the the DT cord-221669-uokr4mjq 117 6 infection infection NN cord-221669-uokr4mjq 117 7 rate rate NN cord-221669-uokr4mjq 117 8 is be VBZ cord-221669-uokr4mjq 117 9 initially initially RB cord-221669-uokr4mjq 117 10 equivalent equivalent JJ cord-221669-uokr4mjq 117 11 to to IN cord-221669-uokr4mjq 117 12 the the DT cord-221669-uokr4mjq 117 13 exponential exponential JJ cord-221669-uokr4mjq 117 14 model model NN cord-221669-uokr4mjq 117 15 , , , cord-221669-uokr4mjq 117 16 but but CC cord-221669-uokr4mjq 117 17 later later RB cord-221669-uokr4mjq 117 18 in in IN cord-221669-uokr4mjq 117 19 the the DT cord-221669-uokr4mjq 117 20 pandemic pandemic NN cord-221669-uokr4mjq 117 21 is be VBZ cord-221669-uokr4mjq 117 22 suppressed suppress VBN cord-221669-uokr4mjq 117 23 in in IN cord-221669-uokr4mjq 117 24 proportion proportion NN cord-221669-uokr4mjq 117 25 to to IN cord-221669-uokr4mjq 117 26 the the DT cord-221669-uokr4mjq 117 27 number number NN cord-221669-uokr4mjq 117 28 of of IN cord-221669-uokr4mjq 117 29 uninfected uninfected JJ cord-221669-uokr4mjq 117 30 individuals individual NNS cord-221669-uokr4mjq 117 31 remaining remain VBG cord-221669-uokr4mjq 117 32 , , , cord-221669-uokr4mjq 117 33 P p NN cord-221669-uokr4mjq 117 34 max max NN cord-221669-uokr4mjq 117 35 − − NNP cord-221669-uokr4mjq 118 1 P. P. NNP cord-221669-uokr4mjq 118 2 A a DT cord-221669-uokr4mjq 118 3 simple simple JJ cord-221669-uokr4mjq 118 4 DE de NN cord-221669-uokr4mjq 118 5 with with IN cord-221669-uokr4mjq 118 6 these these DT cord-221669-uokr4mjq 118 7 properties property NNS cord-221669-uokr4mjq 118 8 is be VBZ cord-221669-uokr4mjq 118 9 the the DT cord-221669-uokr4mjq 118 10 " " `` cord-221669-uokr4mjq 118 11 logistic logistic JJ cord-221669-uokr4mjq 118 12 model model NN cord-221669-uokr4mjq 118 13 , , , cord-221669-uokr4mjq 118 14 " " '' cord-221669-uokr4mjq 118 15 defined define VBN cord-221669-uokr4mjq 118 16 by by IN cord-221669-uokr4mjq 118 17 The the DT cord-221669-uokr4mjq 118 18 solution solution NN cord-221669-uokr4mjq 118 19 of of IN cord-221669-uokr4mjq 118 20 this this DT cord-221669-uokr4mjq 118 21 model model NN cord-221669-uokr4mjq 118 22 , , , cord-221669-uokr4mjq 118 23 which which WDT cord-221669-uokr4mjq 118 24 is be VBZ cord-221669-uokr4mjq 118 25 symmetric symmetric JJ cord-221669-uokr4mjq 118 26 about about IN cord-221669-uokr4mjq 118 27 P p NN cord-221669-uokr4mjq 118 28 = = SYM cord-221669-uokr4mjq 118 29 P p NN cord-221669-uokr4mjq 118 30 max max NN cord-221669-uokr4mjq 118 31 /2 /2 NNP cord-221669-uokr4mjq 118 32 , , , cord-221669-uokr4mjq 118 33 is be VBZ cord-221669-uokr4mjq 118 34 the the DT cord-221669-uokr4mjq 118 35 inverse inverse NN cord-221669-uokr4mjq 118 36 of of IN cord-221669-uokr4mjq 118 37 an an DT cord-221669-uokr4mjq 118 38 exponential exponential JJ cord-221669-uokr4mjq 118 39 plus plus CC cord-221669-uokr4mjq 118 40 a a DT cord-221669-uokr4mjq 118 41 constant constant NN cord-221669-uokr4mjq 118 42 , , , cord-221669-uokr4mjq 118 43 translated translate VBN cord-221669-uokr4mjq 118 44 by by IN cord-221669-uokr4mjq 118 45 a a DT cord-221669-uokr4mjq 118 46 t t NN cord-221669-uokr4mjq 118 47 0 0 CD cord-221669-uokr4mjq 118 48 that that WDT cord-221669-uokr4mjq 118 49 is be VBZ cord-221669-uokr4mjq 118 50 determined determine VBN cord-221669-uokr4mjq 118 51 by by IN cord-221669-uokr4mjq 118 52 the the DT cord-221669-uokr4mjq 118 53 initial initial JJ cord-221669-uokr4mjq 118 54 conditions condition NNS cord-221669-uokr4mjq 118 55 ; ; : cord-221669-uokr4mjq 118 56 This this DT cord-221669-uokr4mjq 118 57 logistic logistic JJ cord-221669-uokr4mjq 118 58 model model NN cord-221669-uokr4mjq 118 59 can can MD cord-221669-uokr4mjq 118 60 also also RB cord-221669-uokr4mjq 118 61 easily easily RB cord-221669-uokr4mjq 118 62 be be VB cord-221669-uokr4mjq 118 63 tested test VBN cord-221669-uokr4mjq 118 64 by by IN cord-221669-uokr4mjq 118 65 comparison comparison NN cord-221669-uokr4mjq 118 66 with with IN cord-221669-uokr4mjq 118 67 data datum NNS cord-221669-uokr4mjq 118 68 on on IN cord-221669-uokr4mjq 118 69 the the DT cord-221669-uokr4mjq 118 70 ratio ratio NN cord-221669-uokr4mjq 118 71 of of IN cord-221669-uokr4mjq 118 72 new new JJ cord-221669-uokr4mjq 118 73 cases case NNS cord-221669-uokr4mjq 118 74 per per IN cord-221669-uokr4mjq 118 75 day day NN cord-221669-uokr4mjq 118 76 to to IN cord-221669-uokr4mjq 118 77 cumulative cumulative JJ cord-221669-uokr4mjq 118 78 cases case NNS cord-221669-uokr4mjq 118 79 . . . cord-221669-uokr4mjq 119 1 In in IN cord-221669-uokr4mjq 119 2 this this DT cord-221669-uokr4mjq 119 3 case case NN cord-221669-uokr4mjq 119 4 , , , cord-221669-uokr4mjq 119 5 the the DT cord-221669-uokr4mjq 119 6 model model NN cord-221669-uokr4mjq 119 7 predicts predict VBZ cord-221669-uokr4mjq 119 8 that that IN cord-221669-uokr4mjq 119 9 this this DT cord-221669-uokr4mjq 119 10 ratio ratio NN cord-221669-uokr4mjq 119 11 should should MD cord-221669-uokr4mjq 119 12 be be VB cord-221669-uokr4mjq 119 13 a a DT cord-221669-uokr4mjq 119 14 simple simple JJ cord-221669-uokr4mjq 119 15 , , , cord-221669-uokr4mjq 119 16 linear linear JJ cord-221669-uokr4mjq 119 17 function function NN cord-221669-uokr4mjq 119 18 of of IN cord-221669-uokr4mjq 119 19 P p NN cord-221669-uokr4mjq 119 20 , , , cord-221669-uokr4mjq 120 1 So so RB cord-221669-uokr4mjq 120 2 , , , cord-221669-uokr4mjq 120 3 when when WRB cord-221669-uokr4mjq 120 4 data datum NNS cord-221669-uokr4mjq 120 5 on on IN cord-221669-uokr4mjq 120 6 this this DT cord-221669-uokr4mjq 120 7 ratio ratio NN cord-221669-uokr4mjq 120 8 ( ( -LRB- cord-221669-uokr4mjq 120 9 y y NN cord-221669-uokr4mjq 120 10 - - HYPH cord-221669-uokr4mjq 120 11 axis axis NN cord-221669-uokr4mjq 120 12 ) ) -RRB- cord-221669-uokr4mjq 120 13 is be VBZ cord-221669-uokr4mjq 120 14 plotted plot VBN cord-221669-uokr4mjq 120 15 against against IN cord-221669-uokr4mjq 120 16 P p NN cord-221669-uokr4mjq 120 17 ( ( -LRB- cord-221669-uokr4mjq 120 18 x x NN cord-221669-uokr4mjq 120 19 - - NN cord-221669-uokr4mjq 120 20 axis axis NN cord-221669-uokr4mjq 120 21 ) ) -RRB- cord-221669-uokr4mjq 120 22 , , , cord-221669-uokr4mjq 120 23 this this DT cord-221669-uokr4mjq 120 24 model model NN cord-221669-uokr4mjq 120 25 anticipates anticipate VBZ cord-221669-uokr4mjq 120 26 linear linear NNP cord-221669-uokr4mjq 120 27 P p NN cord-221669-uokr4mjq 120 28 - - HYPH cord-221669-uokr4mjq 120 29 dependence dependence NN cord-221669-uokr4mjq 120 30 , , , cord-221669-uokr4mjq 120 31 with with IN cord-221669-uokr4mjq 120 32 an an DT cord-221669-uokr4mjq 120 33 x x NN cord-221669-uokr4mjq 120 34 - - HYPH cord-221669-uokr4mjq 120 35 axis axis NN cord-221669-uokr4mjq 120 36 intercept intercept NN cord-221669-uokr4mjq 120 37 ( ( -LRB- cord-221669-uokr4mjq 120 38 where where WRB cord-221669-uokr4mjq 120 39 dP dP NNP cord-221669-uokr4mjq 120 40 / / SYM cord-221669-uokr4mjq 120 41 dt dt NN cord-221669-uokr4mjq 120 42 = = NN cord-221669-uokr4mjq 120 43 0 0 CD cord-221669-uokr4mjq 120 44 ) ) -RRB- cord-221669-uokr4mjq 120 45 at at IN cord-221669-uokr4mjq 120 46 P p NN cord-221669-uokr4mjq 120 47 = = SYM cord-221669-uokr4mjq 120 48 P p NN cord-221669-uokr4mjq 120 49 max max NN cord-221669-uokr4mjq 120 50 . . . cord-221669-uokr4mjq 121 1 In in IN cord-221669-uokr4mjq 121 2 Fig.4 fig.4 NN cord-221669-uokr4mjq 121 3 we -PRON- PRP cord-221669-uokr4mjq 121 4 show show VBP cord-221669-uokr4mjq 121 5 an an DT cord-221669-uokr4mjq 121 6 example example NN cord-221669-uokr4mjq 121 7 of of IN cord-221669-uokr4mjq 121 8 this this DT cord-221669-uokr4mjq 121 9 plot plot NN cord-221669-uokr4mjq 121 10 for for IN cord-221669-uokr4mjq 121 11 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 121 12 data datum NNS cord-221669-uokr4mjq 121 13 , , , cord-221669-uokr4mjq 121 14 using use VBG cord-221669-uokr4mjq 121 15 the the DT cord-221669-uokr4mjq 121 16 USA USA NNP cord-221669-uokr4mjq 121 17 cumulative cumulative JJ cord-221669-uokr4mjq 121 18 cases case NNS cord-221669-uokr4mjq 121 19 and and CC cord-221669-uokr4mjq 121 20 new new JJ cord-221669-uokr4mjq 121 21 cases case NNS cord-221669-uokr4mjq 121 22 per per IN cord-221669-uokr4mjq 121 23 day day NN cord-221669-uokr4mjq 121 24 data datum NNS cord-221669-uokr4mjq 121 25 from from IN cord-221669-uokr4mjq 121 26 Ref Ref NNP cord-221669-uokr4mjq 121 27 . . . cord-221669-uokr4mjq 122 1 [ [ -LRB- cord-221669-uokr4mjq 122 2 7 7 CD cord-221669-uokr4mjq 122 3 ] ] -RRB- cord-221669-uokr4mjq 122 4 through through IN cord-221669-uokr4mjq 122 5 15 15 CD cord-221669-uokr4mjq 122 6 July July NNP cord-221669-uokr4mjq 122 7 2020 2020 CD cord-221669-uokr4mjq 122 8 . . . cord-221669-uokr4mjq 123 1 Although although IN cord-221669-uokr4mjq 123 2 this this DT cord-221669-uokr4mjq 123 3 ratio ratio NN cord-221669-uokr4mjq 123 4 initially initially RB cord-221669-uokr4mjq 123 5 has have VBZ cord-221669-uokr4mjq 123 6 some some DT cord-221669-uokr4mjq 123 7 qualitative qualitative JJ cord-221669-uokr4mjq 123 8 resemblance resemblance NN cord-221669-uokr4mjq 123 9 to to IN cord-221669-uokr4mjq 123 10 the the DT cord-221669-uokr4mjq 123 11 logistic logistic JJ cord-221669-uokr4mjq 123 12 model model NN cord-221669-uokr4mjq 123 13 form form NN cord-221669-uokr4mjq 123 14 ( ( -LRB- cord-221669-uokr4mjq 123 15 23 23 CD cord-221669-uokr4mjq 123 16 ) ) -RRB- cord-221669-uokr4mjq 123 17 , , , cord-221669-uokr4mjq 123 18 ( ( -LRB- cord-221669-uokr4mjq 123 19 see see VB cord-221669-uokr4mjq 123 20 Fig.4 Fig.4 NNP cord-221669-uokr4mjq 123 21 upper upper NNP cord-221669-uokr4mjq 123 22 left left NN cord-221669-uokr4mjq 123 23 ) ) -RRB- cord-221669-uokr4mjq 123 24 , , , cord-221669-uokr4mjq 123 25 the the DT cord-221669-uokr4mjq 123 26 more more RBR cord-221669-uokr4mjq 123 27 recent recent JJ cord-221669-uokr4mjq 123 28 data datum NNS cord-221669-uokr4mjq 123 29 ( ( -LRB- cord-221669-uokr4mjq 123 30 lower low JJR cord-221669-uokr4mjq 123 31 right right NN cord-221669-uokr4mjq 123 32 ) ) -RRB- cord-221669-uokr4mjq 123 33 is be VBZ cord-221669-uokr4mjq 123 34 clearly clearly RB cord-221669-uokr4mjq 123 35 inconsistent inconsistent JJ cord-221669-uokr4mjq 123 36 with with IN cord-221669-uokr4mjq 123 37 ( ( -LRB- cord-221669-uokr4mjq 123 38 23 23 CD cord-221669-uokr4mjq 123 39 ) ) -RRB- cord-221669-uokr4mjq 123 40 , , , cord-221669-uokr4mjq 123 41 and and CC cord-221669-uokr4mjq 123 42 can can MD cord-221669-uokr4mjq 123 43 not not RB cord-221669-uokr4mjq 123 44 be be VB cord-221669-uokr4mjq 123 45 extrapolated extrapolate VBN cord-221669-uokr4mjq 123 46 linearly linearly RB cord-221669-uokr4mjq 123 47 to to IN cord-221669-uokr4mjq 123 48 zero zero CD cord-221669-uokr4mjq 123 49 dP dp NN cord-221669-uokr4mjq 123 50 / / SYM cord-221669-uokr4mjq 123 51 dt dt NN cord-221669-uokr4mjq 123 52 . . . cord-221669-uokr4mjq 124 1 A a DT cord-221669-uokr4mjq 124 2 study study NN cord-221669-uokr4mjq 124 3 of of IN cord-221669-uokr4mjq 124 4 the the DT cord-221669-uokr4mjq 124 5 pandemic pandemic NN cord-221669-uokr4mjq 124 6 time time NN cord-221669-uokr4mjq 124 7 dependence dependence NN cord-221669-uokr4mjq 124 8 predicted predict VBN cord-221669-uokr4mjq 124 9 by by IN cord-221669-uokr4mjq 124 10 the the DT cord-221669-uokr4mjq 124 11 logistic logistic JJ cord-221669-uokr4mjq 124 12 model model NN cord-221669-uokr4mjq 124 13 shows show VBZ cord-221669-uokr4mjq 124 14 another another DT cord-221669-uokr4mjq 124 15 specific specific JJ cord-221669-uokr4mjq 124 16 aspect aspect NN cord-221669-uokr4mjq 124 17 of of IN cord-221669-uokr4mjq 124 18 the the DT cord-221669-uokr4mjq 124 19 model model NN cord-221669-uokr4mjq 124 20 that that WDT cord-221669-uokr4mjq 124 21 makes make VBZ cord-221669-uokr4mjq 124 22 it -PRON- PRP cord-221669-uokr4mjq 124 23 unrealistic unrealistic JJ cord-221669-uokr4mjq 124 24 for for IN cord-221669-uokr4mjq 124 25 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 124 26 ; ; : cord-221669-uokr4mjq 124 27 the the DT cord-221669-uokr4mjq 124 28 rate rate NN cord-221669-uokr4mjq 124 29 of of IN cord-221669-uokr4mjq 124 30 new new JJ cord-221669-uokr4mjq 124 31 cases case NNS cord-221669-uokr4mjq 124 32 dP dP NNP cord-221669-uokr4mjq 124 33 / / SYM cord-221669-uokr4mjq 124 34 dt dt NN cord-221669-uokr4mjq 124 35 predicted predict VBN cord-221669-uokr4mjq 124 36 by by IN cord-221669-uokr4mjq 124 37 this this DT cord-221669-uokr4mjq 124 38 model model NN cord-221669-uokr4mjq 124 39 is be VBZ cord-221669-uokr4mjq 124 40 symmetric symmetric JJ cord-221669-uokr4mjq 124 41 about about IN cord-221669-uokr4mjq 124 42 the the DT cord-221669-uokr4mjq 124 43 maximum maximum NN cord-221669-uokr4mjq 124 44 , , , cord-221669-uokr4mjq 124 45 at at IN cord-221669-uokr4mjq 124 46 the the DT cord-221669-uokr4mjq 124 47 P(t p(t CD cord-221669-uokr4mjq 124 48 ) ) -RRB- cord-221669-uokr4mjq 124 49 inflection inflection NN cord-221669-uokr4mjq 124 50 point point NN cord-221669-uokr4mjq 125 1 t t NNP cord-221669-uokr4mjq 126 1 = = SYM cord-221669-uokr4mjq 126 2 t t NN cord-221669-uokr4mjq 126 3 0 0 CD cord-221669-uokr4mjq 126 4 . . . cord-221669-uokr4mjq 127 1 We -PRON- PRP cord-221669-uokr4mjq 127 2 shall shall MD cord-221669-uokr4mjq 127 3 see see VB cord-221669-uokr4mjq 127 4 that that IN cord-221669-uokr4mjq 127 5 in in IN cord-221669-uokr4mjq 127 6 contrast contrast NN cord-221669-uokr4mjq 127 7 the the DT cord-221669-uokr4mjq 127 8 rate rate NN cord-221669-uokr4mjq 127 9 of of IN cord-221669-uokr4mjq 127 10 new new JJ cord-221669-uokr4mjq 127 11 cases case NNS cord-221669-uokr4mjq 127 12 dP dP NNP cord-221669-uokr4mjq 127 13 / / SYM cord-221669-uokr4mjq 127 14 dt dt NNP cord-221669-uokr4mjq 127 15 observed observe VBD cord-221669-uokr4mjq 127 16 in in IN cord-221669-uokr4mjq 127 17 the the DT cord-221669-uokr4mjq 127 18 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 127 19 data data NN cord-221669-uokr4mjq 127 20 is be VBZ cord-221669-uokr4mjq 127 21 rather rather RB cord-221669-uokr4mjq 127 22 skewed skewed JJ cord-221669-uokr4mjq 127 23 , , , cord-221669-uokr4mjq 127 24 and and CC cord-221669-uokr4mjq 127 25 has have VBZ cord-221669-uokr4mjq 127 26 a a DT cord-221669-uokr4mjq 127 27 faster fast JJR cord-221669-uokr4mjq 127 28 rise rise NN cord-221669-uokr4mjq 127 29 to to TO cord-221669-uokr4mjq 127 30 maximum maximum VB cord-221669-uokr4mjq 127 31 than than IN cord-221669-uokr4mjq 127 32 the the DT cord-221669-uokr4mjq 127 33 subsequent subsequent JJ cord-221669-uokr4mjq 127 34 decline decline NN cord-221669-uokr4mjq 127 35 . . . cord-221669-uokr4mjq 128 1 Here here RB cord-221669-uokr4mjq 128 2 we -PRON- PRP cord-221669-uokr4mjq 128 3 will will MD cord-221669-uokr4mjq 128 4 test test VB cord-221669-uokr4mjq 128 5 a a DT cord-221669-uokr4mjq 128 6 third third JJ cord-221669-uokr4mjq 128 7 prediction prediction NN cord-221669-uokr4mjq 128 8 for for IN cord-221669-uokr4mjq 128 9 time time NN cord-221669-uokr4mjq 128 10 dependence dependence NN cord-221669-uokr4mjq 128 11 , , , cord-221669-uokr4mjq 128 12 which which WDT cord-221669-uokr4mjq 128 13 is be VBZ cord-221669-uokr4mjq 128 14 the the DT cord-221669-uokr4mjq 128 15 form form NN cord-221669-uokr4mjq 128 16 predicted predict VBN cord-221669-uokr4mjq 128 17 by by IN cord-221669-uokr4mjq 128 18 the the DT cord-221669-uokr4mjq 128 19 SHIR SHIR NNP cord-221669-uokr4mjq 128 20 model model NN cord-221669-uokr4mjq 128 21 of of IN cord-221669-uokr4mjq 128 22 the the DT cord-221669-uokr4mjq 128 23 previous previous JJ cord-221669-uokr4mjq 128 24 section section NN cord-221669-uokr4mjq 128 25 . . . cord-221669-uokr4mjq 129 1 There there RB cord-221669-uokr4mjq 129 2 we -PRON- PRP cord-221669-uokr4mjq 129 3 noted note VBD cord-221669-uokr4mjq 129 4 that that IN cord-221669-uokr4mjq 129 5 the the DT cord-221669-uokr4mjq 129 6 infected infected JJ cord-221669-uokr4mjq 129 7 fraction fraction NN cord-221669-uokr4mjq 129 8 f f NN cord-221669-uokr4mjq 129 9 I -PRON- PRP cord-221669-uokr4mjq 129 10 of of IN cord-221669-uokr4mjq 129 11 the the DT cord-221669-uokr4mjq 129 12 population population NN cord-221669-uokr4mjq 129 13 is be VBZ cord-221669-uokr4mjq 129 14 predicted predict VBN cord-221669-uokr4mjq 129 15 to to TO cord-221669-uokr4mjq 129 16 satisfy satisfy VB cord-221669-uokr4mjq 129 17 the the DT cord-221669-uokr4mjq 129 18 differential differential JJ cord-221669-uokr4mjq 129 19 equation equation NN cord-221669-uokr4mjq 129 20 in in IN cord-221669-uokr4mjq 129 21 the the DT cord-221669-uokr4mjq 129 22 limits limit NNS cord-221669-uokr4mjq 129 23 of of IN cord-221669-uokr4mjq 129 24 a a DT cord-221669-uokr4mjq 129 25 small small JJ cord-221669-uokr4mjq 129 26 fraction fraction NN cord-221669-uokr4mjq 129 27 of of IN cord-221669-uokr4mjq 129 28 the the DT cord-221669-uokr4mjq 129 29 population population NN cord-221669-uokr4mjq 129 30 being be VBG cord-221669-uokr4mjq 129 31 infected infect VBN cord-221669-uokr4mjq 129 32 ( ( -LRB- cord-221669-uokr4mjq 129 33 f f NN cord-221669-uokr4mjq 129 34 I i NN cord-221669-uokr4mjq 129 35 < < XX cord-221669-uokr4mjq 129 36 < < XX cord-221669-uokr4mjq 129 37 1 1 CD cord-221669-uokr4mjq 129 38 ) ) -RRB- cord-221669-uokr4mjq 129 39 and and CC cord-221669-uokr4mjq 129 40 the the DT cord-221669-uokr4mjq 129 41 resolved resolve VBN cord-221669-uokr4mjq 129 42 fraction fraction NN cord-221669-uokr4mjq 129 43 being be VBG cord-221669-uokr4mjq 129 44 small small JJ cord-221669-uokr4mjq 129 45 relative relative NN cord-221669-uokr4mjq 129 46 to to IN cord-221669-uokr4mjq 129 47 the the DT cord-221669-uokr4mjq 129 48 infected infected JJ cord-221669-uokr4mjq 129 49 fraction fraction NN cord-221669-uokr4mjq 129 50 ( ( -LRB- cord-221669-uokr4mjq 129 51 f f FW cord-221669-uokr4mjq 129 52 R r NN cord-221669-uokr4mjq 129 53 < < XX cord-221669-uokr4mjq 129 54 < < XX cord-221669-uokr4mjq 129 55 f f XX cord-221669-uokr4mjq 129 56 I i NN cord-221669-uokr4mjq 129 57 ) ) -RRB- cord-221669-uokr4mjq 129 58 . . . cord-221669-uokr4mjq 130 1 The the DT cord-221669-uokr4mjq 130 2 existing exist VBG cord-221669-uokr4mjq 130 3 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 130 4 data data NN cord-221669-uokr4mjq 130 5 suggests suggest VBZ cord-221669-uokr4mjq 130 6 that that IN cord-221669-uokr4mjq 130 7 these these DT cord-221669-uokr4mjq 130 8 are be VBP cord-221669-uokr4mjq 130 9 both both DT cord-221669-uokr4mjq 130 10 reasonable reasonable JJ cord-221669-uokr4mjq 130 11 approximations approximation NNS cord-221669-uokr4mjq 130 12 in in IN cord-221669-uokr4mjq 130 13 the the DT cord-221669-uokr4mjq 130 14 early early JJ cord-221669-uokr4mjq 130 15 and and CC cord-221669-uokr4mjq 130 16 intermediate intermediate JJ cord-221669-uokr4mjq 130 17 stages stage NNS cord-221669-uokr4mjq 130 18 of of IN cord-221669-uokr4mjq 130 19 the the DT cord-221669-uokr4mjq 130 20 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 130 21 pandemic pandemic NN cord-221669-uokr4mjq 130 22 . . . cord-221669-uokr4mjq 131 1 The the DT cord-221669-uokr4mjq 131 2 expectation expectation NN cord-221669-uokr4mjq 131 3 ( ( -LRB- cord-221669-uokr4mjq 131 4 24 24 CD cord-221669-uokr4mjq 131 5 ) ) -RRB- cord-221669-uokr4mjq 131 6 can can MD cord-221669-uokr4mjq 131 7 immediately immediately RB cord-221669-uokr4mjq 131 8 be be VB cord-221669-uokr4mjq 131 9 compared compare VBN cord-221669-uokr4mjq 131 10 to to IN cord-221669-uokr4mjq 131 11 data datum NNS cord-221669-uokr4mjq 131 12 , , , cord-221669-uokr4mjq 131 13 since since IN cord-221669-uokr4mjq 131 14 ( ( -LRB- cord-221669-uokr4mjq 131 15 df df UH cord-221669-uokr4mjq 131 16 I -PRON- PRP cord-221669-uokr4mjq 132 1 /dt)/f /dt)/f . cord-221669-uokr4mjq 133 1 I -PRON- PRP cord-221669-uokr4mjq 133 2 is be VBZ cord-221669-uokr4mjq 133 3 just just RB cord-221669-uokr4mjq 133 4 the the DT cord-221669-uokr4mjq 133 5 ratio ratio NN cord-221669-uokr4mjq 133 6 shown show VBN cord-221669-uokr4mjq 133 7 on on IN cord-221669-uokr4mjq 133 8 the the DT cord-221669-uokr4mjq 133 9 y y NN cord-221669-uokr4mjq 133 10 - - HYPH cord-221669-uokr4mjq 133 11 axis axis NN cord-221669-uokr4mjq 133 12 of of IN cord-221669-uokr4mjq 133 13 Fig.3 fig.3 NN cord-221669-uokr4mjq 133 14 . . . cord-221669-uokr4mjq 134 1 The the DT cord-221669-uokr4mjq 134 2 dotted dotted JJ cord-221669-uokr4mjq 134 3 line line NN cord-221669-uokr4mjq 134 4 in in IN cord-221669-uokr4mjq 134 5 the the DT cord-221669-uokr4mjq 134 6 figure figure NN cord-221669-uokr4mjq 134 7 shows show VBZ cord-221669-uokr4mjq 134 8 a a DT cord-221669-uokr4mjq 134 9 decaying decay VBG cord-221669-uokr4mjq 134 10 exponential exponential JJ cord-221669-uokr4mjq 134 11 fit fit NN cord-221669-uokr4mjq 134 12 of of IN cord-221669-uokr4mjq 134 13 exactly exactly RB cord-221669-uokr4mjq 134 14 the the DT cord-221669-uokr4mjq 134 15 form form NN cord-221669-uokr4mjq 134 16 ( ( -LRB- cord-221669-uokr4mjq 134 17 24 24 CD cord-221669-uokr4mjq 134 18 ) ) -RRB- cord-221669-uokr4mjq 134 19 , , , cord-221669-uokr4mjq 134 20 which which WDT cord-221669-uokr4mjq 134 21 evidently evidently RB cord-221669-uokr4mjq 134 22 gives give VBZ cord-221669-uokr4mjq 134 23 a a DT cord-221669-uokr4mjq 134 24 very very RB cord-221669-uokr4mjq 134 25 good good JJ cord-221669-uokr4mjq 134 26 description description NN cord-221669-uokr4mjq 134 27 of of IN cord-221669-uokr4mjq 134 28 the the DT cord-221669-uokr4mjq 134 29 data datum NNS cord-221669-uokr4mjq 134 30 . . . cord-221669-uokr4mjq 135 1 The the DT cord-221669-uokr4mjq 135 2 parameter parameter NN cord-221669-uokr4mjq 135 3 values value NNS cord-221669-uokr4mjq 135 4 found find VBN cord-221669-uokr4mjq 135 5 in in IN cord-221669-uokr4mjq 135 6 this this DT cord-221669-uokr4mjq 135 7 fit fit NN cord-221669-uokr4mjq 135 8 are be VBP cord-221669-uokr4mjq 135 9 r r NN cord-221669-uokr4mjq 135 10 I i NN cord-221669-uokr4mjq 135 11 = = NN cord-221669-uokr4mjq 135 12 0.233 0.233 CD cord-221669-uokr4mjq 136 1 [ [ -LRB- cord-221669-uokr4mjq 136 2 days day NNS cord-221669-uokr4mjq 136 3 −1 −1 NNP cord-221669-uokr4mjq 136 4 ] ] -RRB- cord-221669-uokr4mjq 136 5 and and CC cord-221669-uokr4mjq 136 6 τ τ NN cord-221669-uokr4mjq 136 7 ≡ ≡ NNP cord-221669-uokr4mjq 136 8 1 1 CD cord-221669-uokr4mjq 136 9 / / SYM cord-221669-uokr4mjq 136 10 r r NN cord-221669-uokr4mjq 136 11 H h NN cord-221669-uokr4mjq 136 12 = = SYM cord-221669-uokr4mjq 136 13 20.9 20.9 CD cord-221669-uokr4mjq 136 14 [ [ -LRB- cord-221669-uokr4mjq 136 15 days day NNS cord-221669-uokr4mjq 136 16 ] ] -RRB- cord-221669-uokr4mjq 136 17 . . . cord-221669-uokr4mjq 137 1 Motivated motivate VBN cord-221669-uokr4mjq 137 2 by by IN cord-221669-uokr4mjq 137 3 the the DT cord-221669-uokr4mjq 137 4 good good JJ cord-221669-uokr4mjq 137 5 agreement agreement NN cord-221669-uokr4mjq 137 6 between between IN cord-221669-uokr4mjq 137 7 the the DT cord-221669-uokr4mjq 137 8 SHIR SHIR NNP cord-221669-uokr4mjq 137 9 model model NN cord-221669-uokr4mjq 137 10 prediction prediction NN cord-221669-uokr4mjq 137 11 of of IN cord-221669-uokr4mjq 137 12 a a DT cord-221669-uokr4mjq 137 13 decaying decay VBG cord-221669-uokr4mjq 137 14 exponential exponential NN cord-221669-uokr4mjq 137 15 in in IN cord-221669-uokr4mjq 137 16 time time NN cord-221669-uokr4mjq 137 17 for for IN cord-221669-uokr4mjq 137 18 ( ( -LRB- cord-221669-uokr4mjq 137 19 df df NNP cord-221669-uokr4mjq 138 1 I -PRON- PRP cord-221669-uokr4mjq 139 1 /dt)/f /dt)/f . cord-221669-uokr4mjq 140 1 I -PRON- PRP cord-221669-uokr4mjq 140 2 and and CC cord-221669-uokr4mjq 140 3 the the DT cord-221669-uokr4mjq 140 4 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 140 5 data data NN cord-221669-uokr4mjq 140 6 evident evident JJ cord-221669-uokr4mjq 140 7 in in IN cord-221669-uokr4mjq 140 8 Fig.3 fig.3 NN cord-221669-uokr4mjq 140 9 , , , cord-221669-uokr4mjq 140 10 we -PRON- PRP cord-221669-uokr4mjq 140 11 will will MD cord-221669-uokr4mjq 140 12 subsequently subsequently RB cord-221669-uokr4mjq 140 13 discuss discuss VB cord-221669-uokr4mjq 140 14 SHIR SHIR NNP cord-221669-uokr4mjq 140 15 model model NN cord-221669-uokr4mjq 140 16 predictions prediction NNS cord-221669-uokr4mjq 140 17 in in IN cord-221669-uokr4mjq 140 18 more more JJR cord-221669-uokr4mjq 140 19 detail detail NN cord-221669-uokr4mjq 140 20 , , , cord-221669-uokr4mjq 140 21 and and CC cord-221669-uokr4mjq 140 22 will will MD cord-221669-uokr4mjq 140 23 show show VB cord-221669-uokr4mjq 140 24 fits fit NNS cord-221669-uokr4mjq 140 25 of of IN cord-221669-uokr4mjq 140 26 this this DT cord-221669-uokr4mjq 140 27 model model NN cord-221669-uokr4mjq 140 28 to to IN cord-221669-uokr4mjq 140 29 COVID-19 covid-19 VB cord-221669-uokr4mjq 140 30 data datum NNS cord-221669-uokr4mjq 140 31 from from IN cord-221669-uokr4mjq 140 32 many many JJ cord-221669-uokr4mjq 140 33 European european JJ cord-221669-uokr4mjq 140 34 countries country NNS cord-221669-uokr4mjq 140 35 . . . cord-221669-uokr4mjq 141 1 This this DT cord-221669-uokr4mjq 141 2 will will MD cord-221669-uokr4mjq 141 3 follow follow VB cord-221669-uokr4mjq 141 4 a a DT cord-221669-uokr4mjq 141 5 short short JJ cord-221669-uokr4mjq 141 6 discussion discussion NN cord-221669-uokr4mjq 141 7 of of IN cord-221669-uokr4mjq 141 8 some some DT cord-221669-uokr4mjq 141 9 general general JJ cord-221669-uokr4mjq 141 10 aspects aspect NNS cord-221669-uokr4mjq 141 11 of of IN cord-221669-uokr4mjq 141 12 mathematically mathematically RB cord-221669-uokr4mjq 141 13 similar similar JJ cord-221669-uokr4mjq 141 14 models model NNS cord-221669-uokr4mjq 141 15 , , , cord-221669-uokr4mjq 141 16 which which WDT cord-221669-uokr4mjq 141 17 will will MD cord-221669-uokr4mjq 141 18 be be VB cord-221669-uokr4mjq 141 19 used use VBN cord-221669-uokr4mjq 141 20 in in IN cord-221669-uokr4mjq 141 21 the the DT cord-221669-uokr4mjq 141 22 detailed detailed JJ cord-221669-uokr4mjq 141 23 discussion discussion NN cord-221669-uokr4mjq 141 24 of of IN cord-221669-uokr4mjq 141 25 SHIR SHIR NNP cord-221669-uokr4mjq 141 26 results result NNS cord-221669-uokr4mjq 141 27 . . . cord-221669-uokr4mjq 142 1 The the DT cord-221669-uokr4mjq 142 2 results result NNS cord-221669-uokr4mjq 142 3 discussed discuss VBN cord-221669-uokr4mjq 142 4 above above RB cord-221669-uokr4mjq 142 5 motivate motivate VBP cord-221669-uokr4mjq 142 6 the the DT cord-221669-uokr4mjq 142 7 consideration consideration NN cord-221669-uokr4mjq 142 8 of of IN cord-221669-uokr4mjq 142 9 generalizations generalization NNS cord-221669-uokr4mjq 142 10 of of IN cord-221669-uokr4mjq 142 11 the the DT cord-221669-uokr4mjq 142 12 simplest simple JJS cord-221669-uokr4mjq 142 13 " " `` cord-221669-uokr4mjq 142 14 pure pure JJ cord-221669-uokr4mjq 142 15 exponential exponential JJ cord-221669-uokr4mjq 142 16 " " '' cord-221669-uokr4mjq 142 17 pandemic pandemic NN cord-221669-uokr4mjq 142 18 model model NN cord-221669-uokr4mjq 142 19 , , , cord-221669-uokr4mjq 142 20 in in IN cord-221669-uokr4mjq 142 21 which which WDT cord-221669-uokr4mjq 142 22 the the DT cord-221669-uokr4mjq 142 23 constant constant JJ cord-221669-uokr4mjq 142 24 λ λ NN cord-221669-uokr4mjq 142 25 of of IN cord-221669-uokr4mjq 142 26 that that DT cord-221669-uokr4mjq 142 27 model model NN cord-221669-uokr4mjq 142 28 ( ( -LRB- cord-221669-uokr4mjq 142 29 20 20 CD cord-221669-uokr4mjq 142 30 ) ) -RRB- cord-221669-uokr4mjq 142 31 is be VBZ cord-221669-uokr4mjq 142 32 replaced replace VBN cord-221669-uokr4mjq 142 33 by by IN cord-221669-uokr4mjq 142 34 an an DT cord-221669-uokr4mjq 142 35 explicit explicit JJ cord-221669-uokr4mjq 142 36 function function NN cord-221669-uokr4mjq 142 37 of of IN cord-221669-uokr4mjq 142 38 time time NN cord-221669-uokr4mjq 142 39 , , , cord-221669-uokr4mjq 142 40 For for IN cord-221669-uokr4mjq 142 41 a a DT cord-221669-uokr4mjq 142 42 given give VBN cord-221669-uokr4mjq 142 43 function function NN cord-221669-uokr4mjq 142 44 λ(t λ(t NNP cord-221669-uokr4mjq 142 45 ) ) -RRB- cord-221669-uokr4mjq 142 46 , , , cord-221669-uokr4mjq 142 47 the the DT cord-221669-uokr4mjq 142 48 defining define VBG cord-221669-uokr4mjq 142 49 differential differential JJ cord-221669-uokr4mjq 142 50 equation equation NN cord-221669-uokr4mjq 142 51 ( ( -LRB- cord-221669-uokr4mjq 142 52 25 25 CD cord-221669-uokr4mjq 142 53 ) ) -RRB- cord-221669-uokr4mjq 142 54 gives give VBZ cord-221669-uokr4mjq 142 55 the the DT cord-221669-uokr4mjq 142 56 predicted predict VBN cord-221669-uokr4mjq 142 57 growth growth NN cord-221669-uokr4mjq 142 58 of of IN cord-221669-uokr4mjq 142 59 case case NN cord-221669-uokr4mjq 142 60 numbers number NNS cord-221669-uokr4mjq 142 61 as as IN cord-221669-uokr4mjq 142 62 Formally formally RB cord-221669-uokr4mjq 142 63 this this DT cord-221669-uokr4mjq 142 64 may may MD cord-221669-uokr4mjq 142 65 be be VB cord-221669-uokr4mjq 142 66 regarded regard VBN cord-221669-uokr4mjq 142 67 as as IN cord-221669-uokr4mjq 142 68 exponential exponential JJ cord-221669-uokr4mjq 142 69 growth growth NN cord-221669-uokr4mjq 142 70 in in IN cord-221669-uokr4mjq 142 71 a a DT cord-221669-uokr4mjq 142 72 new new JJ cord-221669-uokr4mjq 142 73 ( ( -LRB- cord-221669-uokr4mjq 142 74 nonlinear nonlinear JJ cord-221669-uokr4mjq 142 75 ) ) -RRB- cord-221669-uokr4mjq 142 76 time time NN cord-221669-uokr4mjq 142 77 variable variable NN cord-221669-uokr4mjq 142 78 u u NNP cord-221669-uokr4mjq 142 79 , , , cord-221669-uokr4mjq 142 80 defined define VBN cord-221669-uokr4mjq 142 81 by by IN cord-221669-uokr4mjq 142 82 du du NNP cord-221669-uokr4mjq 142 83 = = SYM cord-221669-uokr4mjq 142 84 λ(t)dt λ(t)dt NNP cord-221669-uokr4mjq 142 85 . . . cord-221669-uokr4mjq 143 1 Since since IN cord-221669-uokr4mjq 143 2 this this DT cord-221669-uokr4mjq 143 3 is be VBZ cord-221669-uokr4mjq 143 4 a a DT cord-221669-uokr4mjq 143 5 model model NN cord-221669-uokr4mjq 143 6 of of IN cord-221669-uokr4mjq 143 7 the the DT cord-221669-uokr4mjq 143 8 growth growth NN cord-221669-uokr4mjq 143 9 of of IN cord-221669-uokr4mjq 143 10 a a DT cord-221669-uokr4mjq 143 11 pandemic pandemic NN cord-221669-uokr4mjq 143 12 , , , cord-221669-uokr4mjq 143 13 the the DT cord-221669-uokr4mjq 143 14 cumulative cumulative JJ cord-221669-uokr4mjq 143 15 number number NN cord-221669-uokr4mjq 143 16 of of IN cord-221669-uokr4mjq 143 17 cases case NNS cord-221669-uokr4mjq 143 18 ( ( -LRB- cord-221669-uokr4mjq 143 19 26 26 CD cord-221669-uokr4mjq 143 20 ) ) -RRB- cord-221669-uokr4mjq 143 21 can can MD cord-221669-uokr4mjq 143 22 only only RB cord-221669-uokr4mjq 143 23 increase increase VB cord-221669-uokr4mjq 143 24 , , , cord-221669-uokr4mjq 143 25 or or CC cord-221669-uokr4mjq 143 26 become become VB cord-221669-uokr4mjq 143 27 flat flat JJ cord-221669-uokr4mjq 143 28 when when WRB cord-221669-uokr4mjq 143 29 the the DT cord-221669-uokr4mjq 143 30 pandemic pandemic NN cord-221669-uokr4mjq 143 31 has have VBZ cord-221669-uokr4mjq 143 32 been be VBN cord-221669-uokr4mjq 143 33 completely completely RB cord-221669-uokr4mjq 143 34 halted halt VBN cord-221669-uokr4mjq 143 35 , , , cord-221669-uokr4mjq 143 36 which which WDT cord-221669-uokr4mjq 143 37 occurs occur VBZ cord-221669-uokr4mjq 143 38 if if IN cord-221669-uokr4mjq 143 39 and and CC cord-221669-uokr4mjq 143 40 when when WRB cord-221669-uokr4mjq 143 41 we -PRON- PRP cord-221669-uokr4mjq 143 42 reach reach VBP cord-221669-uokr4mjq 143 43 a a DT cord-221669-uokr4mjq 143 44 time time NN cord-221669-uokr4mjq 143 45 t t NN cord-221669-uokr4mjq 143 46 f f NN cord-221669-uokr4mjq 143 47 for for IN cord-221669-uokr4mjq 143 48 which which WDT cord-221669-uokr4mjq 143 49 λ(t λ(t NNP cord-221669-uokr4mjq 143 50 f f NNP cord-221669-uokr4mjq 143 51 ) ) -RRB- cord-221669-uokr4mjq 144 1 = = SYM cord-221669-uokr4mjq 144 2 0 0 NFP cord-221669-uokr4mjq 144 3 . . . cord-221669-uokr4mjq 145 1 Accordingly accordingly RB cord-221669-uokr4mjq 145 2 we -PRON- PRP cord-221669-uokr4mjq 145 3 constrain constrain VBP cord-221669-uokr4mjq 145 4 λ(t λ(t CD cord-221669-uokr4mjq 145 5 ) ) -RRB- cord-221669-uokr4mjq 145 6 to to TO cord-221669-uokr4mjq 145 7 be be VB cord-221669-uokr4mjq 145 8 positive positive JJ cord-221669-uokr4mjq 145 9 ( ( -LRB- cord-221669-uokr4mjq 145 10 pandemic pandemic NN cord-221669-uokr4mjq 145 11 ongoing ongoing JJ cord-221669-uokr4mjq 145 12 , , , cord-221669-uokr4mjq 145 13 t t NNP cord-221669-uokr4mjq 145 14 < < XX cord-221669-uokr4mjq 145 15 t t NNP cord-221669-uokr4mjq 145 16 f f NNP cord-221669-uokr4mjq 145 17 ) ) -RRB- cord-221669-uokr4mjq 145 18 or or CC cord-221669-uokr4mjq 145 19 zero zero CD cord-221669-uokr4mjq 145 20 ( ( -LRB- cord-221669-uokr4mjq 145 21 t t NN cord-221669-uokr4mjq 145 22 = = SYM cord-221669-uokr4mjq 145 23 t t NNP cord-221669-uokr4mjq 145 24 f f NNP cord-221669-uokr4mjq 145 25 , , , cord-221669-uokr4mjq 145 26 pandemic pandemic NNP cord-221669-uokr4mjq 145 27 halted halt VBD cord-221669-uokr4mjq 145 28 ) ) -RRB- cord-221669-uokr4mjq 145 29 . . . cord-221669-uokr4mjq 146 1 The the DT cord-221669-uokr4mjq 146 2 inflection inflection NN cord-221669-uokr4mjq 146 3 point point NN cord-221669-uokr4mjq 146 4 of of IN cord-221669-uokr4mjq 146 5 P(t P(t NNP cord-221669-uokr4mjq 146 6 ) ) -RRB- cord-221669-uokr4mjq 146 7 is be VBZ cord-221669-uokr4mjq 146 8 of of IN cord-221669-uokr4mjq 146 9 considerable considerable JJ cord-221669-uokr4mjq 146 10 importance importance NN cord-221669-uokr4mjq 146 11 , , , cord-221669-uokr4mjq 146 12 since since IN cord-221669-uokr4mjq 146 13 this this DT cord-221669-uokr4mjq 146 14 is be VBZ cord-221669-uokr4mjq 146 15 the the DT cord-221669-uokr4mjq 146 16 time time NN cord-221669-uokr4mjq 146 17 of of IN cord-221669-uokr4mjq 146 18 peak peak NN cord-221669-uokr4mjq 146 19 pandemic pandemic NN cord-221669-uokr4mjq 146 20 growth growth NN cord-221669-uokr4mjq 146 21 . . . cord-221669-uokr4mjq 147 1 The the DT cord-221669-uokr4mjq 147 2 time time NN cord-221669-uokr4mjq 147 3 t t NN cord-221669-uokr4mjq 147 4 inf inf NNP cord-221669-uokr4mjq 147 5 l l NNP cord-221669-uokr4mjq 147 6 of of IN cord-221669-uokr4mjq 147 7 the the DT cord-221669-uokr4mjq 147 8 inflection inflection NN cord-221669-uokr4mjq 147 9 point point NN cord-221669-uokr4mjq 147 10 is be VBZ cord-221669-uokr4mjq 147 11 specified specify VBN cord-221669-uokr4mjq 147 12 by by IN cord-221669-uokr4mjq 147 13 the the DT cord-221669-uokr4mjq 147 14 rate rate NN cord-221669-uokr4mjq 147 15 of of IN cord-221669-uokr4mjq 147 16 change change NN cord-221669-uokr4mjq 147 17 of of IN cord-221669-uokr4mjq 147 18 case case NN cord-221669-uokr4mjq 147 19 numbers number NNS cord-221669-uokr4mjq 147 20 dP dP NNP cord-221669-uokr4mjq 147 21 / / SYM cord-221669-uokr4mjq 147 22 dt dt NN cord-221669-uokr4mjq 147 23 reaching reach VBG cord-221669-uokr4mjq 147 24 a a DT cord-221669-uokr4mjq 147 25 maximum maximum NN cord-221669-uokr4mjq 147 26 ; ; : cord-221669-uokr4mjq 147 27 this this DT cord-221669-uokr4mjq 147 28 occurs occur VBZ cord-221669-uokr4mjq 147 29 when when WRB cord-221669-uokr4mjq 147 30 the the DT cord-221669-uokr4mjq 147 31 second second JJ cord-221669-uokr4mjq 147 32 derivative derivative JJ cord-221669-uokr4mjq 147 33 d d NN cord-221669-uokr4mjq 147 34 2 2 CD cord-221669-uokr4mjq 147 35 P p NN cord-221669-uokr4mjq 147 36 / / SYM cord-221669-uokr4mjq 147 37 dt dt NN cord-221669-uokr4mjq 147 38 2 2 CD cord-221669-uokr4mjq 147 39 is be VBZ cord-221669-uokr4mjq 147 40 zero zero CD cord-221669-uokr4mjq 147 41 , , , cord-221669-uokr4mjq 147 42 On on IN cord-221669-uokr4mjq 147 43 substituting substitute VBG cord-221669-uokr4mjq 147 44 the the DT cord-221669-uokr4mjq 147 45 general general JJ cord-221669-uokr4mjq 147 46 solution solution NN cord-221669-uokr4mjq 147 47 P(t P(t NNP cord-221669-uokr4mjq 147 48 ) ) -RRB- cord-221669-uokr4mjq 147 49 from from IN cord-221669-uokr4mjq 147 50 ( ( -LRB- cord-221669-uokr4mjq 147 51 26 26 CD cord-221669-uokr4mjq 147 52 ) ) -RRB- cord-221669-uokr4mjq 147 53 into into IN cord-221669-uokr4mjq 147 54 this this DT cord-221669-uokr4mjq 147 55 constraint constraint NN cord-221669-uokr4mjq 147 56 , , , cord-221669-uokr4mjq 147 57 we -PRON- PRP cord-221669-uokr4mjq 147 58 find find VBP cord-221669-uokr4mjq 147 59 an an DT cord-221669-uokr4mjq 147 60 equivalent equivalent JJ cord-221669-uokr4mjq 147 61 definition definition NN cord-221669-uokr4mjq 147 62 of of IN cord-221669-uokr4mjq 147 63 the the DT cord-221669-uokr4mjq 147 64 in in IN cord-221669-uokr4mjq 147 65 - - HYPH cord-221669-uokr4mjq 147 66 flection flection NN cord-221669-uokr4mjq 147 67 point point NN cord-221669-uokr4mjq 147 68 in in IN cord-221669-uokr4mjq 147 69 terms term NNS cord-221669-uokr4mjq 147 70 of of IN cord-221669-uokr4mjq 147 71 the the DT cord-221669-uokr4mjq 147 72 proportional proportional JJ cord-221669-uokr4mjq 147 73 growth growth NN cord-221669-uokr4mjq 147 74 function function NN cord-221669-uokr4mjq 147 75 λ(t λ(t NNP cord-221669-uokr4mjq 147 76 ) ) -RRB- cord-221669-uokr4mjq 147 77 , , , cord-221669-uokr4mjq 147 78 A. a. NN cord-221669-uokr4mjq 147 79 Cumulative cumulative JJ cord-221669-uokr4mjq 147 80 cases case NNS cord-221669-uokr4mjq 147 81 P(t p(t CD cord-221669-uokr4mjq 147 82 ) ) -RRB- cord-221669-uokr4mjq 147 83 and and CC cord-221669-uokr4mjq 147 84 cases case NNS cord-221669-uokr4mjq 147 85 per per IN cord-221669-uokr4mjq 147 86 day day NN cord-221669-uokr4mjq 147 87 ( ( -LRB- cord-221669-uokr4mjq 147 88 cpd cpd NNP cord-221669-uokr4mjq 147 89 ) ) -RRB- cord-221669-uokr4mjq 147 90 dP dP NNP cord-221669-uokr4mjq 147 91 / / SYM cord-221669-uokr4mjq 147 92 dt(t dt(t NNP cord-221669-uokr4mjq 147 93 ) ) -RRB- cord-221669-uokr4mjq 148 1 In in IN cord-221669-uokr4mjq 148 2 Sec Sec NNP cord-221669-uokr4mjq 148 3 . . . cord-221669-uokr4mjq 149 1 I.B. I.B. NNP cord-221669-uokr4mjq 149 2 we -PRON- PRP cord-221669-uokr4mjq 149 3 introduced introduce VBD cord-221669-uokr4mjq 149 4 the the DT cord-221669-uokr4mjq 149 5 " " `` cord-221669-uokr4mjq 149 6 SHIR SHIR NNP cord-221669-uokr4mjq 149 7 " " '' cord-221669-uokr4mjq 149 8 model model NN cord-221669-uokr4mjq 149 9 as as IN cord-221669-uokr4mjq 149 10 a a DT cord-221669-uokr4mjq 149 11 generalization generalization NN cord-221669-uokr4mjq 149 12 of of IN cord-221669-uokr4mjq 149 13 the the DT cord-221669-uokr4mjq 149 14 SIR SIR NNP cord-221669-uokr4mjq 149 15 model model NN cord-221669-uokr4mjq 149 16 , , , cord-221669-uokr4mjq 149 17 with with IN cord-221669-uokr4mjq 149 18 the the DT cord-221669-uokr4mjq 149 19 effects effect NNS cord-221669-uokr4mjq 149 20 of of IN cord-221669-uokr4mjq 149 21 pandemic pandemic NN cord-221669-uokr4mjq 149 22 reduction reduction NN cord-221669-uokr4mjq 149 23 measures measure NNS cord-221669-uokr4mjq 149 24 incorporated incorporate VBN cord-221669-uokr4mjq 149 25 through through IN cord-221669-uokr4mjq 149 26 a a DT cord-221669-uokr4mjq 149 27 " " `` cord-221669-uokr4mjq 149 28 hidden hidden JJ cord-221669-uokr4mjq 149 29 " " '' cord-221669-uokr4mjq 149 30 population population NN cord-221669-uokr4mjq 149 31 ( ( -LRB- cord-221669-uokr4mjq 149 32 H h NN cord-221669-uokr4mjq 149 33 ) ) -RRB- cord-221669-uokr4mjq 149 34 that that WDT cord-221669-uokr4mjq 149 35 migrates migrate VBZ cord-221669-uokr4mjq 149 36 from from IN cord-221669-uokr4mjq 149 37 the the DT cord-221669-uokr4mjq 149 38 initial initial JJ cord-221669-uokr4mjq 149 39 susceptible susceptible JJ cord-221669-uokr4mjq 149 40 population population NN cord-221669-uokr4mjq 149 41 ( ( -LRB- cord-221669-uokr4mjq 149 42 S S NNP cord-221669-uokr4mjq 149 43 ) ) -RRB- cord-221669-uokr4mjq 149 44 with with IN cord-221669-uokr4mjq 149 45 a a DT cord-221669-uokr4mjq 149 46 rate rate NN cord-221669-uokr4mjq 149 47 constant constant NN cord-221669-uokr4mjq 149 48 r r NN cord-221669-uokr4mjq 149 49 H h NN cord-221669-uokr4mjq 149 50 . . . cord-221669-uokr4mjq 150 1 In in IN cord-221669-uokr4mjq 150 2 the the DT cord-221669-uokr4mjq 150 3 limit limit NN cord-221669-uokr4mjq 150 4 of of IN cord-221669-uokr4mjq 150 5 a a DT cord-221669-uokr4mjq 150 6 small small JJ cord-221669-uokr4mjq 150 7 infected infected JJ cord-221669-uokr4mjq 150 8 population population NN cord-221669-uokr4mjq 150 9 fraction fraction NN cord-221669-uokr4mjq 150 10 ( ( -LRB- cord-221669-uokr4mjq 150 11 f f NNP cord-221669-uokr4mjq 150 12 I i NN cord-221669-uokr4mjq 150 13 < < XX cord-221669-uokr4mjq 150 14 < < XX cord-221669-uokr4mjq 150 15 1 1 CD cord-221669-uokr4mjq 150 16 ) ) -RRB- cord-221669-uokr4mjq 150 17 relative relative JJ cord-221669-uokr4mjq 150 18 to to IN cord-221669-uokr4mjq 150 19 the the DT cord-221669-uokr4mjq 150 20 remaining remain VBG cord-221669-uokr4mjq 150 21 fraction fraction NN cord-221669-uokr4mjq 150 22 of of IN cord-221669-uokr4mjq 150 23 susceptibles susceptible NNS cord-221669-uokr4mjq 150 24 ( ( -LRB- cord-221669-uokr4mjq 150 25 f f NNP cord-221669-uokr4mjq 150 26 S S NNP cord-221669-uokr4mjq 150 27 ) ) -RRB- cord-221669-uokr4mjq 150 28 , , , cord-221669-uokr4mjq 150 29 and and CC cord-221669-uokr4mjq 150 30 assuming assume VBG cord-221669-uokr4mjq 150 31 that that IN cord-221669-uokr4mjq 150 32 the the DT cord-221669-uokr4mjq 150 33 resolved resolve VBN cord-221669-uokr4mjq 150 34 fraction fraction NN cord-221669-uokr4mjq 150 35 f f NN cord-221669-uokr4mjq 150 36 R r NN cord-221669-uokr4mjq 150 37 can can MD cord-221669-uokr4mjq 150 38 be be VB cord-221669-uokr4mjq 150 39 neglected neglect VBN cord-221669-uokr4mjq 150 40 , , , cord-221669-uokr4mjq 150 41 we -PRON- PRP cord-221669-uokr4mjq 150 42 showed show VBD cord-221669-uokr4mjq 150 43 that that IN cord-221669-uokr4mjq 150 44 the the DT cord-221669-uokr4mjq 150 45 infected infected JJ cord-221669-uokr4mjq 150 46 fraction fraction NN cord-221669-uokr4mjq 150 47 satisfies satisfy VBZ cord-221669-uokr4mjq 150 48 a a DT cord-221669-uokr4mjq 150 49 differential differential JJ cord-221669-uokr4mjq 150 50 equation equation NN cord-221669-uokr4mjq 150 51 of of IN cord-221669-uokr4mjq 150 52 the the DT cord-221669-uokr4mjq 150 53 form form NN cord-221669-uokr4mjq 150 54 where where WRB cord-221669-uokr4mjq 150 55 the the DT cord-221669-uokr4mjq 150 56 SHIR SHIR NNP cord-221669-uokr4mjq 150 57 growth growth NN cord-221669-uokr4mjq 150 58 rate rate NN cord-221669-uokr4mjq 150 59 function function NN cord-221669-uokr4mjq 150 60 is be VBZ cord-221669-uokr4mjq 150 61 a a DT cord-221669-uokr4mjq 150 62 decaying decay VBG cord-221669-uokr4mjq 150 63 exponential exponential NN cord-221669-uokr4mjq 150 64 in in IN cord-221669-uokr4mjq 150 65 time time NN cord-221669-uokr4mjq 150 66 , , , cord-221669-uokr4mjq 150 67 The the DT cord-221669-uokr4mjq 150 68 rate rate NN cord-221669-uokr4mjq 150 69 coefficients coefficient NNS cord-221669-uokr4mjq 150 70 r r NN cord-221669-uokr4mjq 150 71 H h NN cord-221669-uokr4mjq 150 72 and and CC cord-221669-uokr4mjq 150 73 r r NN cord-221669-uokr4mjq 150 74 I -PRON- PRP cord-221669-uokr4mjq 150 75 can can MD cord-221669-uokr4mjq 150 76 be be VB cord-221669-uokr4mjq 150 77 interpreted interpret VBN cord-221669-uokr4mjq 150 78 respectively respectively RB cord-221669-uokr4mjq 150 79 as as IN cord-221669-uokr4mjq 150 80 a a DT cord-221669-uokr4mjq 150 81 characteristic characteristic JJ cord-221669-uokr4mjq 150 82 " " `` cord-221669-uokr4mjq 150 83 social social JJ cord-221669-uokr4mjq 150 84 response response NN cord-221669-uokr4mjq 150 85 time time NN cord-221669-uokr4mjq 150 86 " " '' cord-221669-uokr4mjq 150 87 τ τ NN cord-221669-uokr4mjq 150 88 = = SYM cord-221669-uokr4mjq 150 89 1 1 CD cord-221669-uokr4mjq 150 90 / / SYM cord-221669-uokr4mjq 150 91 r r NN cord-221669-uokr4mjq 150 92 H h NN cord-221669-uokr4mjq 150 93 for for IN cord-221669-uokr4mjq 150 94 the the DT cord-221669-uokr4mjq 150 95 implementation implementation NN cord-221669-uokr4mjq 150 96 of of IN cord-221669-uokr4mjq 150 97 pandemic pandemic JJ cord-221669-uokr4mjq 150 98 reduction reduction NN cord-221669-uokr4mjq 150 99 measures measure NNS cord-221669-uokr4mjq 150 100 , , , cord-221669-uokr4mjq 150 101 and and CC cord-221669-uokr4mjq 150 102 an an DT cord-221669-uokr4mjq 150 103 initial initial JJ cord-221669-uokr4mjq 150 104 condition condition NN cord-221669-uokr4mjq 150 105 ( ( -LRB- cord-221669-uokr4mjq 150 106 at at IN cord-221669-uokr4mjq 150 107 some some DT cord-221669-uokr4mjq 150 108 t t NN cord-221669-uokr4mjq 150 109 = = SYM cord-221669-uokr4mjq 150 110 0 0 NFP cord-221669-uokr4mjq 150 111 ) ) -RRB- cord-221669-uokr4mjq 150 112 on on IN cord-221669-uokr4mjq 150 113 the the DT cord-221669-uokr4mjq 150 114 growth growth NN cord-221669-uokr4mjq 150 115 rate rate NN cord-221669-uokr4mjq 150 116 function function NN cord-221669-uokr4mjq 150 117 λ(t λ(t NNP cord-221669-uokr4mjq 150 118 ) ) -RRB- cord-221669-uokr4mjq 150 119 ; ; : cord-221669-uokr4mjq 150 120 If if IN cord-221669-uokr4mjq 150 121 we -PRON- PRP cord-221669-uokr4mjq 150 122 multiply multiply VBP cord-221669-uokr4mjq 150 123 the the DT cord-221669-uokr4mjq 150 124 infected infected JJ cord-221669-uokr4mjq 150 125 fraction fraction NN cord-221669-uokr4mjq 150 126 f f NN cord-221669-uokr4mjq 150 127 I -PRON- PRP cord-221669-uokr4mjq 150 128 by by IN cord-221669-uokr4mjq 150 129 the the DT cord-221669-uokr4mjq 150 130 total total JJ cord-221669-uokr4mjq 150 131 population population NN cord-221669-uokr4mjq 150 132 N n CD cord-221669-uokr4mjq 150 133 0 0 CD cord-221669-uokr4mjq 150 134 , , , cord-221669-uokr4mjq 150 135 and and CC cord-221669-uokr4mjq 150 136 similarly similarly RB cord-221669-uokr4mjq 150 137 scale scale VB cord-221669-uokr4mjq 150 138 the the DT cord-221669-uokr4mjq 150 139 fractional fractional JJ cord-221669-uokr4mjq 150 140 new new JJ cord-221669-uokr4mjq 150 141 cases case NNS cord-221669-uokr4mjq 150 142 per per IN cord-221669-uokr4mjq 150 143 day day NN cord-221669-uokr4mjq 150 144 , , , cord-221669-uokr4mjq 150 145 we -PRON- PRP cord-221669-uokr4mjq 150 146 can can MD cord-221669-uokr4mjq 150 147 compare compare VB cord-221669-uokr4mjq 150 148 the the DT cord-221669-uokr4mjq 150 149 results result NNS cord-221669-uokr4mjq 150 150 for for IN cord-221669-uokr4mjq 150 151 the the DT cord-221669-uokr4mjq 150 152 cumulative cumulative JJ cord-221669-uokr4mjq 150 153 cases case NNS cord-221669-uokr4mjq 150 154 P(t p(t CD cord-221669-uokr4mjq 150 155 ) ) -RRB- cord-221669-uokr4mjq 150 156 and and CC cord-221669-uokr4mjq 150 157 new new JJ cord-221669-uokr4mjq 150 158 cases case NNS cord-221669-uokr4mjq 150 159 per per IN cord-221669-uokr4mjq 150 160 day day NN cord-221669-uokr4mjq 151 1 dP dP NNP cord-221669-uokr4mjq 151 2 / / SYM cord-221669-uokr4mjq 151 3 dt dt XX cord-221669-uokr4mjq 151 4 directly directly RB cord-221669-uokr4mjq 151 5 to to IN cord-221669-uokr4mjq 151 6 the the DT cord-221669-uokr4mjq 151 7 data datum NNS cord-221669-uokr4mjq 151 8 as as RB cord-221669-uokr4mjq 151 9 normally normally RB cord-221669-uokr4mjq 151 10 reported report VBN cord-221669-uokr4mjq 151 11 . . . cord-221669-uokr4mjq 152 1 Given give VBN cord-221669-uokr4mjq 152 2 the the DT cord-221669-uokr4mjq 152 3 form form NN cord-221669-uokr4mjq 152 4 ( ( -LRB- cord-221669-uokr4mjq 152 5 31 31 CD cord-221669-uokr4mjq 152 6 ) ) -RRB- cord-221669-uokr4mjq 152 7 , , , cord-221669-uokr4mjq 152 8 on on IN cord-221669-uokr4mjq 152 9 solving solve VBG cord-221669-uokr4mjq 152 10 ( ( -LRB- cord-221669-uokr4mjq 152 11 29 29 CD cord-221669-uokr4mjq 152 12 ) ) -RRB- cord-221669-uokr4mjq 152 13 we -PRON- PRP cord-221669-uokr4mjq 152 14 find find VBP cord-221669-uokr4mjq 152 15 that that IN cord-221669-uokr4mjq 152 16 the the DT cord-221669-uokr4mjq 152 17 predicted predict VBN cord-221669-uokr4mjq 152 18 number number NN cord-221669-uokr4mjq 152 19 of of IN cord-221669-uokr4mjq 152 20 cases case NNS cord-221669-uokr4mjq 152 21 as as IN cord-221669-uokr4mjq 152 22 a a DT cord-221669-uokr4mjq 152 23 function function NN cord-221669-uokr4mjq 152 24 of of IN cord-221669-uokr4mjq 152 25 time time NN cord-221669-uokr4mjq 152 26 in in IN cord-221669-uokr4mjq 152 27 the the DT cord-221669-uokr4mjq 152 28 SHIR SHIR NNP cord-221669-uokr4mjq 152 29 model model NN cord-221669-uokr4mjq 152 30 is be VBZ cord-221669-uokr4mjq 152 31 a a DT cord-221669-uokr4mjq 152 32 nested nested JJ cord-221669-uokr4mjq 152 33 exponential exponential NN cord-221669-uokr4mjq 152 34 , , , cord-221669-uokr4mjq 152 35 This this DT cord-221669-uokr4mjq 152 36 may may MD cord-221669-uokr4mjq 152 37 be be VB cord-221669-uokr4mjq 152 38 simplified simplify VBN cord-221669-uokr4mjq 152 39 by by IN cord-221669-uokr4mjq 152 40 replacing replace VBG cord-221669-uokr4mjq 152 41 the the DT cord-221669-uokr4mjq 152 42 t t NN cord-221669-uokr4mjq 152 43 = = SYM cord-221669-uokr4mjq 152 44 0 0 CD cord-221669-uokr4mjq 152 45 initial initial JJ cord-221669-uokr4mjq 152 46 condition condition NN cord-221669-uokr4mjq 152 47 λ(0 λ(0 NNP cord-221669-uokr4mjq 152 48 ) ) -RRB- cord-221669-uokr4mjq 152 49 by by IN cord-221669-uokr4mjq 152 50 an an DT cord-221669-uokr4mjq 152 51 equivalent equivalent JJ cord-221669-uokr4mjq 152 52 time time NN cord-221669-uokr4mjq 152 53 shift shift NN cord-221669-uokr4mjq 152 54 which which WDT cord-221669-uokr4mjq 152 55 gives give VBZ cord-221669-uokr4mjq 152 56 a a DT cord-221669-uokr4mjq 152 57 simple simple JJ cord-221669-uokr4mjq 152 58 three three CD cord-221669-uokr4mjq 152 59 - - HYPH cord-221669-uokr4mjq 152 60 parameter parameter NN cord-221669-uokr4mjq 152 61 form form NN cord-221669-uokr4mjq 152 62 for for IN cord-221669-uokr4mjq 152 63 the the DT cord-221669-uokr4mjq 152 64 general general JJ cord-221669-uokr4mjq 152 65 solution solution NN cord-221669-uokr4mjq 152 66 of of IN cord-221669-uokr4mjq 152 67 the the DT cord-221669-uokr4mjq 152 68 cumulative cumulative JJ cord-221669-uokr4mjq 152 69 number number NN cord-221669-uokr4mjq 152 70 of of IN cord-221669-uokr4mjq 152 71 cases case NNS cord-221669-uokr4mjq 152 72 in in IN cord-221669-uokr4mjq 152 73 the the DT cord-221669-uokr4mjq 152 74 SHIR SHIR NNP cord-221669-uokr4mjq 152 75 model model NN cord-221669-uokr4mjq 152 76 , , , cord-221669-uokr4mjq 152 77 This this DT cord-221669-uokr4mjq 152 78 function function NN cord-221669-uokr4mjq 152 79 increases increase VBZ cord-221669-uokr4mjq 152 80 monotonically monotonically RB cord-221669-uokr4mjq 152 81 from from IN cord-221669-uokr4mjq 152 82 P p NN cord-221669-uokr4mjq 152 83 = = SYM cord-221669-uokr4mjq 152 84 0 0 NFP cord-221669-uokr4mjq 153 1 at at IN cord-221669-uokr4mjq 153 2 t t NNP cord-221669-uokr4mjq 153 3 = = SYM cord-221669-uokr4mjq 153 4 −∞ −∞ NNP cord-221669-uokr4mjq 153 5 to to IN cord-221669-uokr4mjq 153 6 P p NN cord-221669-uokr4mjq 153 7 max max NN cord-221669-uokr4mjq 153 8 at at IN cord-221669-uokr4mjq 153 9 t t NN cord-221669-uokr4mjq 154 1 = = NFP cord-221669-uokr4mjq 155 1 + + CC cord-221669-uokr4mjq 156 1 ∞ ∞ NNP cord-221669-uokr4mjq 156 2 , , , cord-221669-uokr4mjq 156 3 and and CC cord-221669-uokr4mjq 156 4 has have VBZ cord-221669-uokr4mjq 156 5 a a DT cord-221669-uokr4mjq 156 6 single single JJ cord-221669-uokr4mjq 156 7 inflection inflection NN cord-221669-uokr4mjq 156 8 point point NN cord-221669-uokr4mjq 156 9 at at IN cord-221669-uokr4mjq 156 10 t t NN cord-221669-uokr4mjq 156 11 = = SYM cord-221669-uokr4mjq 156 12 t t NN cord-221669-uokr4mjq 156 13 0 0 CD cord-221669-uokr4mjq 156 14 . . . cord-221669-uokr4mjq 157 1 This this DT cord-221669-uokr4mjq 157 2 is be VBZ cord-221669-uokr4mjq 157 3 an an DT cord-221669-uokr4mjq 157 4 example example NN cord-221669-uokr4mjq 157 5 of of IN cord-221669-uokr4mjq 157 6 a a DT cord-221669-uokr4mjq 157 7 Gompertz Gompertz NNP cord-221669-uokr4mjq 157 8 [ [ -LRB- cord-221669-uokr4mjq 157 9 8 8 CD cord-221669-uokr4mjq 157 10 ] ] -RRB- cord-221669-uokr4mjq 157 11 curve curve NN cord-221669-uokr4mjq 157 12 , , . cord-221669-uokr4mjq 158 1 y y NNP cord-221669-uokr4mjq 158 2 = = SYM cord-221669-uokr4mjq 158 3 ab ab NNP cord-221669-uokr4mjq 158 4 q q NNP cord-221669-uokr4mjq 159 1 x x LS cord-221669-uokr4mjq 159 2 [ [ -LRB- cord-221669-uokr4mjq 159 3 9 9 CD cord-221669-uokr4mjq 159 4 ] ] -RRB- cord-221669-uokr4mjq 159 5 ; ; : cord-221669-uokr4mjq 159 6 these these DT cord-221669-uokr4mjq 159 7 are be VBP cord-221669-uokr4mjq 159 8 often often RB cord-221669-uokr4mjq 159 9 encountered encounter VBN cord-221669-uokr4mjq 159 10 in in IN cord-221669-uokr4mjq 159 11 problems problem NNS cord-221669-uokr4mjq 159 12 in in IN cord-221669-uokr4mjq 159 13 which which WDT cord-221669-uokr4mjq 159 14 a a DT cord-221669-uokr4mjq 159 15 proportional proportional JJ cord-221669-uokr4mjq 159 16 rate rate NN cord-221669-uokr4mjq 159 17 of of IN cord-221669-uokr4mjq 159 18 growthḟ growthḟ NN cord-221669-uokr4mjq 159 19 /f /f NNP cord-221669-uokr4mjq 159 20 is be VBZ cord-221669-uokr4mjq 159 21 driven drive VBN cord-221669-uokr4mjq 159 22 by by IN cord-221669-uokr4mjq 159 23 an an DT cord-221669-uokr4mjq 159 24 exponential exponential NN cord-221669-uokr4mjq 159 25 . . . cord-221669-uokr4mjq 160 1 The the DT cord-221669-uokr4mjq 160 2 rate rate NN cord-221669-uokr4mjq 160 3 of of IN cord-221669-uokr4mjq 160 4 appearance appearance NN cord-221669-uokr4mjq 160 5 of of IN cord-221669-uokr4mjq 160 6 new new JJ cord-221669-uokr4mjq 160 7 cases case NNS cord-221669-uokr4mjq 160 8 per per IN cord-221669-uokr4mjq 160 9 day day NN cord-221669-uokr4mjq 160 10 ( ( -LRB- cord-221669-uokr4mjq 160 11 cpd cpd NNP cord-221669-uokr4mjq 160 12 ) ) -RRB- cord-221669-uokr4mjq 160 13 in in IN cord-221669-uokr4mjq 160 14 the the DT cord-221669-uokr4mjq 160 15 model model NN cord-221669-uokr4mjq 160 16 , , , cord-221669-uokr4mjq 160 17 dP dP NNP cord-221669-uokr4mjq 160 18 / / SYM cord-221669-uokr4mjq 160 19 dt dt NNP cord-221669-uokr4mjq 160 20 , , , cord-221669-uokr4mjq 160 21 can can MD cord-221669-uokr4mjq 160 22 be be VB cord-221669-uokr4mjq 160 23 evaluated evaluate VBN cord-221669-uokr4mjq 160 24 directly directly RB cord-221669-uokr4mjq 160 25 from from IN cord-221669-uokr4mjq 160 26 P(t P(t NNPS cord-221669-uokr4mjq 160 27 ) ) -RRB- cord-221669-uokr4mjq 160 28 above above RB cord-221669-uokr4mjq 160 29 , , , cord-221669-uokr4mjq 160 30 and and CC cord-221669-uokr4mjq 160 31 is be VBZ cord-221669-uokr4mjq 160 32 This this DT cord-221669-uokr4mjq 160 33 rate rate NN cord-221669-uokr4mjq 160 34 of of IN cord-221669-uokr4mjq 160 35 growth growth NN cord-221669-uokr4mjq 160 36 is be VBZ cord-221669-uokr4mjq 160 37 zero zero CD cord-221669-uokr4mjq 160 38 at at IN cord-221669-uokr4mjq 160 39 t t NNP cord-221669-uokr4mjq 160 40 = = SYM cord-221669-uokr4mjq 160 41 −∞ −∞ NNP cord-221669-uokr4mjq 160 42 , , , cord-221669-uokr4mjq 160 43 increases increase VBZ cord-221669-uokr4mjq 160 44 to to IN cord-221669-uokr4mjq 160 45 a a DT cord-221669-uokr4mjq 160 46 maximum maximum JJ cord-221669-uokr4mjq 160 47 value value NN cord-221669-uokr4mjq 160 48 at at IN cord-221669-uokr4mjq 160 49 the the DT cord-221669-uokr4mjq 160 50 P(t p(t CD cord-221669-uokr4mjq 160 51 ) ) -RRB- cord-221669-uokr4mjq 160 52 inflection inflection NN cord-221669-uokr4mjq 160 53 point point NN cord-221669-uokr4mjq 160 54 t t NNP cord-221669-uokr4mjq 160 55 0 0 CD cord-221669-uokr4mjq 160 56 , , , cord-221669-uokr4mjq 160 57 and and CC cord-221669-uokr4mjq 160 58 then then RB cord-221669-uokr4mjq 160 59 decreases decrease VBZ cord-221669-uokr4mjq 160 60 with with IN cord-221669-uokr4mjq 160 61 time time NN cord-221669-uokr4mjq 160 62 , , , cord-221669-uokr4mjq 160 63 approaching approach VBG cord-221669-uokr4mjq 160 64 zero zero CD cord-221669-uokr4mjq 160 65 exponentially exponentially RB cord-221669-uokr4mjq 160 66 as as IN cord-221669-uokr4mjq 160 67 t t NNP cord-221669-uokr4mjq 160 68 → → SYM cord-221669-uokr4mjq 160 69 + + CC cord-221669-uokr4mjq 160 70 ∞. ∞. NNP cord-221669-uokr4mjq 160 71 dP dP NNP cord-221669-uokr4mjq 160 72 / / SYM cord-221669-uokr4mjq 160 73 dt dt NNP cord-221669-uokr4mjq 160 74 integrates integrate VBZ cord-221669-uokr4mjq 160 75 to to IN cord-221669-uokr4mjq 160 76 a a DT cord-221669-uokr4mjq 160 77 finite finite JJ cord-221669-uokr4mjq 160 78 number number NN cord-221669-uokr4mjq 160 79 of of IN cord-221669-uokr4mjq 160 80 cases case NNS cord-221669-uokr4mjq 160 81 P p NN cord-221669-uokr4mjq 160 82 max max NN cord-221669-uokr4mjq 160 83 as as IN cord-221669-uokr4mjq 160 84 t t NN cord-221669-uokr4mjq 160 85 → → XX cord-221669-uokr4mjq 161 1 + + CC cord-221669-uokr4mjq 161 2 ∞. ∞. NNP cord-221669-uokr4mjq 161 3 The the DT cord-221669-uokr4mjq 161 4 maximum maximum JJ cord-221669-uokr4mjq 161 5 number number NN cord-221669-uokr4mjq 161 6 of of IN cord-221669-uokr4mjq 161 7 cases case NNS cord-221669-uokr4mjq 161 8 per per IN cord-221669-uokr4mjq 161 9 day day NN cord-221669-uokr4mjq 161 10 , , , cord-221669-uokr4mjq 161 11 at at IN cord-221669-uokr4mjq 161 12 the the DT cord-221669-uokr4mjq 161 13 time time NN cord-221669-uokr4mjq 161 14 t t NN cord-221669-uokr4mjq 161 15 0 0 CD cord-221669-uokr4mjq 161 16 of of IN cord-221669-uokr4mjq 161 17 the the DT cord-221669-uokr4mjq 161 18 P(t p(t CD cord-221669-uokr4mjq 161 19 ) ) -RRB- cord-221669-uokr4mjq 161 20 inflection inflection NN cord-221669-uokr4mjq 161 21 point point NN cord-221669-uokr4mjq 161 22 , , , cord-221669-uokr4mjq 161 23 is be VBZ cord-221669-uokr4mjq 161 24 given give VBN cord-221669-uokr4mjq 161 25 by by IN cord-221669-uokr4mjq 161 26 The the DT cord-221669-uokr4mjq 161 27 three three CD cord-221669-uokr4mjq 161 28 parameters parameter NNS cord-221669-uokr4mjq 161 29 that that WDT cord-221669-uokr4mjq 161 30 specify specify VBP cord-221669-uokr4mjq 161 31 a a DT cord-221669-uokr4mjq 161 32 solution solution NN cord-221669-uokr4mjq 161 33 of of IN cord-221669-uokr4mjq 161 34 the the DT cord-221669-uokr4mjq 161 35 SHIR SHIR NNP cord-221669-uokr4mjq 161 36 model model NN cord-221669-uokr4mjq 161 37 , , , cord-221669-uokr4mjq 161 38 P p NN cord-221669-uokr4mjq 161 39 max max NN cord-221669-uokr4mjq 161 40 , , , cord-221669-uokr4mjq 161 41 τ τ NN cord-221669-uokr4mjq 161 42 and and CC cord-221669-uokr4mjq 161 43 t t NN cord-221669-uokr4mjq 161 44 0 0 CD cord-221669-uokr4mjq 162 1 , , , cord-221669-uokr4mjq 162 2 all all DT cord-221669-uokr4mjq 162 3 have have VBP cord-221669-uokr4mjq 162 4 simple simple JJ cord-221669-uokr4mjq 162 5 interpretations interpretation NNS cord-221669-uokr4mjq 162 6 ; ; : cord-221669-uokr4mjq 162 7 they -PRON- PRP cord-221669-uokr4mjq 162 8 are be VBP cord-221669-uokr4mjq 162 9 respectively respectively RB cord-221669-uokr4mjq 162 10 the the DT cord-221669-uokr4mjq 162 11 height height NN cord-221669-uokr4mjq 162 12 , , , cord-221669-uokr4mjq 162 13 width width NN cord-221669-uokr4mjq 162 14 scale scale NN cord-221669-uokr4mjq 162 15 , , , cord-221669-uokr4mjq 162 16 and and CC cord-221669-uokr4mjq 162 17 time time NN cord-221669-uokr4mjq 162 18 shift shift NN cord-221669-uokr4mjq 162 19 of of IN cord-221669-uokr4mjq 162 20 the the DT cord-221669-uokr4mjq 162 21 pandemic pandemic NN cord-221669-uokr4mjq 162 22 profile profile NN cord-221669-uokr4mjq 163 1 P(t P(t NNP cord-221669-uokr4mjq 163 2 ) ) -RRB- cord-221669-uokr4mjq 163 3 ( ( -LRB- cord-221669-uokr4mjq 163 4 or or CC cord-221669-uokr4mjq 163 5 of of IN cord-221669-uokr4mjq 163 6 the the DT cord-221669-uokr4mjq 163 7 rate rate NN cord-221669-uokr4mjq 163 8 of of IN cord-221669-uokr4mjq 163 9 new new JJ cord-221669-uokr4mjq 163 10 cases case NNS cord-221669-uokr4mjq 163 11 , , , cord-221669-uokr4mjq 164 1 dP dP NNP cord-221669-uokr4mjq 164 2 / / SYM cord-221669-uokr4mjq 164 3 dt dt NNP cord-221669-uokr4mjq 164 4 ) ) -RRB- cord-221669-uokr4mjq 164 5 . . . cord-221669-uokr4mjq 165 1 P p NN cord-221669-uokr4mjq 165 2 max max NN cord-221669-uokr4mjq 165 3 is be VBZ cord-221669-uokr4mjq 165 4 by by IN cord-221669-uokr4mjq 165 5 definition definition NN cord-221669-uokr4mjq 165 6 the the DT cord-221669-uokr4mjq 165 7 maximum maximum JJ cord-221669-uokr4mjq 165 8 value value NN cord-221669-uokr4mjq 165 9 of of IN cord-221669-uokr4mjq 165 10 P(t P(t NNPS cord-221669-uokr4mjq 165 11 ) ) -RRB- cord-221669-uokr4mjq 165 12 , , , cord-221669-uokr4mjq 165 13 and and CC cord-221669-uokr4mjq 165 14 gives give VBZ cord-221669-uokr4mjq 165 15 the the DT cord-221669-uokr4mjq 165 16 total total JJ cord-221669-uokr4mjq 165 17 number number NN cord-221669-uokr4mjq 165 18 of of IN cord-221669-uokr4mjq 165 19 cases case NNS cord-221669-uokr4mjq 165 20 , , , cord-221669-uokr4mjq 165 21 which which WDT cord-221669-uokr4mjq 165 22 is be VBZ cord-221669-uokr4mjq 165 23 P(t P(t NNP cord-221669-uokr4mjq 165 24 ) ) -RRB- cord-221669-uokr4mjq 165 25 at at IN cord-221669-uokr4mjq 165 26 t t NN cord-221669-uokr4mjq 165 27 = = NFP cord-221669-uokr4mjq 166 1 + + CC cord-221669-uokr4mjq 167 1 ∞. ∞. NNP cord-221669-uokr4mjq 168 1 The the DT cord-221669-uokr4mjq 168 2 social social JJ cord-221669-uokr4mjq 168 3 response response NN cord-221669-uokr4mjq 168 4 time time NN cord-221669-uokr4mjq 168 5 τ τ NN cord-221669-uokr4mjq 168 6 sets set VBZ cord-221669-uokr4mjq 168 7 the the DT cord-221669-uokr4mjq 168 8 scale scale NN cord-221669-uokr4mjq 168 9 for for IN cord-221669-uokr4mjq 168 10 all all DT cord-221669-uokr4mjq 168 11 time time NN cord-221669-uokr4mjq 168 12 - - HYPH cord-221669-uokr4mjq 168 13 interval interval NN cord-221669-uokr4mjq 168 14 features feature NNS cord-221669-uokr4mjq 168 15 of of IN cord-221669-uokr4mjq 168 16 P(t P(t NNPS cord-221669-uokr4mjq 168 17 ) ) -RRB- cord-221669-uokr4mjq 168 18 and and CC cord-221669-uokr4mjq 168 19 dP dP NNP cord-221669-uokr4mjq 168 20 / / SYM cord-221669-uokr4mjq 168 21 dt dt NNP cord-221669-uokr4mjq 168 22 , , , cord-221669-uokr4mjq 168 23 since since IN cord-221669-uokr4mjq 168 24 changing change VBG cord-221669-uokr4mjq 168 25 t t NN cord-221669-uokr4mjq 168 26 0 0 CD cord-221669-uokr4mjq 168 27 only only RB cord-221669-uokr4mjq 168 28 translates translate VBZ cord-221669-uokr4mjq 168 29 these these DT cord-221669-uokr4mjq 168 30 functions function NNS cord-221669-uokr4mjq 168 31 . . . cord-221669-uokr4mjq 169 1 The the DT cord-221669-uokr4mjq 169 2 time time NN cord-221669-uokr4mjq 169 3 shift shift NN cord-221669-uokr4mjq 169 4 t t NN cord-221669-uokr4mjq 169 5 0 0 CD cord-221669-uokr4mjq 169 6 is be VBZ cord-221669-uokr4mjq 169 7 the the DT cord-221669-uokr4mjq 169 8 time time NN cord-221669-uokr4mjq 169 9 of of IN cord-221669-uokr4mjq 169 10 the the DT cord-221669-uokr4mjq 169 11 inflection inflection NN cord-221669-uokr4mjq 169 12 point point NN cord-221669-uokr4mjq 169 13 of of IN cord-221669-uokr4mjq 169 14 P(t P(t NNP cord-221669-uokr4mjq 169 15 ) ) -RRB- cord-221669-uokr4mjq 169 16 , , . cord-221669-uokr4mjq 170 1 This this DT cord-221669-uokr4mjq 170 2 inflection inflection NN cord-221669-uokr4mjq 170 3 point point NN cord-221669-uokr4mjq 170 4 t t NN cord-221669-uokr4mjq 170 5 0 0 CD cord-221669-uokr4mjq 170 6 may may MD cord-221669-uokr4mjq 170 7 be be VB cord-221669-uokr4mjq 170 8 considered consider VBN cord-221669-uokr4mjq 170 9 the the DT cord-221669-uokr4mjq 170 10 peak peak NN cord-221669-uokr4mjq 170 11 of of IN cord-221669-uokr4mjq 170 12 the the DT cord-221669-uokr4mjq 170 13 local local JJ cord-221669-uokr4mjq 170 14 pandemic pandemic NN cord-221669-uokr4mjq 170 15 , , , cord-221669-uokr4mjq 170 16 since since IN cord-221669-uokr4mjq 170 17 the the DT cord-221669-uokr4mjq 170 18 number number NN cord-221669-uokr4mjq 170 19 of of IN cord-221669-uokr4mjq 170 20 new new JJ cord-221669-uokr4mjq 170 21 cases case NNS cord-221669-uokr4mjq 170 22 per per IN cord-221669-uokr4mjq 170 23 day day NN cord-221669-uokr4mjq 170 24 estimated estimate VBN cord-221669-uokr4mjq 170 25 by by IN cord-221669-uokr4mjq 170 26 the the DT cord-221669-uokr4mjq 170 27 fit fit NN cord-221669-uokr4mjq 170 28 is be VBZ cord-221669-uokr4mjq 170 29 then then RB cord-221669-uokr4mjq 170 30 a a DT cord-221669-uokr4mjq 170 31 maximum maximum NN cord-221669-uokr4mjq 170 32 . . . cord-221669-uokr4mjq 171 1 For for IN cord-221669-uokr4mjq 171 2 discussion discussion NN cord-221669-uokr4mjq 171 3 purposes purpose NNS cord-221669-uokr4mjq 171 4 a a DT cord-221669-uokr4mjq 171 5 convenient convenient JJ cord-221669-uokr4mjq 171 6 choice choice NN cord-221669-uokr4mjq 171 7 for for IN cord-221669-uokr4mjq 171 8 t t NN cord-221669-uokr4mjq 171 9 0 0 CD cord-221669-uokr4mjq 171 10 in in IN cord-221669-uokr4mjq 171 11 ( ( -LRB- cord-221669-uokr4mjq 171 12 36 36 CD cord-221669-uokr4mjq 171 13 ) ) -RRB- cord-221669-uokr4mjq 171 14 and and CC cord-221669-uokr4mjq 171 15 ( ( -LRB- cord-221669-uokr4mjq 171 16 37 37 CD cord-221669-uokr4mjq 171 17 ) ) -RRB- cord-221669-uokr4mjq 171 18 is be VBZ cord-221669-uokr4mjq 171 19 t t NN cord-221669-uokr4mjq 171 20 0 0 CD cord-221669-uokr4mjq 171 21 = = SYM cord-221669-uokr4mjq 171 22 0 0 CD cord-221669-uokr4mjq 171 23 , , , cord-221669-uokr4mjq 171 24 which which WDT cord-221669-uokr4mjq 171 25 places place VBZ cord-221669-uokr4mjq 171 26 the the DT cord-221669-uokr4mjq 171 27 inflection inflection NN cord-221669-uokr4mjq 171 28 point point NN cord-221669-uokr4mjq 171 29 of of IN cord-221669-uokr4mjq 171 30 P(t P(t NNP cord-221669-uokr4mjq 171 31 ) ) -RRB- cord-221669-uokr4mjq 171 32 at at IN cord-221669-uokr4mjq 171 33 t t NN cord-221669-uokr4mjq 171 34 = = SYM cord-221669-uokr4mjq 171 35 0 0 CD cord-221669-uokr4mjq 171 36 . . . cord-221669-uokr4mjq 172 1 Plotting Plotting NNP cord-221669-uokr4mjq 172 2 P(t P(t NNPS cord-221669-uokr4mjq 172 3 ) ) -RRB- cord-221669-uokr4mjq 172 4 or or CC cord-221669-uokr4mjq 172 5 dP dP NNP cord-221669-uokr4mjq 172 6 / / SYM cord-221669-uokr4mjq 172 7 dt dt NN cord-221669-uokr4mjq 172 8 against against IN cord-221669-uokr4mjq 172 9 t t NNP cord-221669-uokr4mjq 172 10 in in IN cord-221669-uokr4mjq 172 11 units unit NNS cord-221669-uokr4mjq 172 12 of of IN cord-221669-uokr4mjq 172 13 τ τ NN cord-221669-uokr4mjq 172 14 , , , cord-221669-uokr4mjq 172 15 normalized normalize VBN cord-221669-uokr4mjq 172 16 to to IN cord-221669-uokr4mjq 172 17 their -PRON- PRP$ cord-221669-uokr4mjq 172 18 maximum maximum JJ cord-221669-uokr4mjq 172 19 values value NNS cord-221669-uokr4mjq 172 20 , , , cord-221669-uokr4mjq 172 21 gives give VBZ cord-221669-uokr4mjq 172 22 a a DT cord-221669-uokr4mjq 172 23 parameter parameter NN cord-221669-uokr4mjq 172 24 - - HYPH cord-221669-uokr4mjq 172 25 independent independent JJ cord-221669-uokr4mjq 172 26 " " `` cord-221669-uokr4mjq 172 27 universal universal JJ cord-221669-uokr4mjq 172 28 profile profile NN cord-221669-uokr4mjq 172 29 " " '' cord-221669-uokr4mjq 172 30 for for IN cord-221669-uokr4mjq 172 31 each each DT cord-221669-uokr4mjq 172 32 of of IN cord-221669-uokr4mjq 172 33 these these DT cord-221669-uokr4mjq 172 34 functions function NNS cord-221669-uokr4mjq 172 35 . . . cord-221669-uokr4mjq 173 1 The the DT cord-221669-uokr4mjq 173 2 universal universal JJ cord-221669-uokr4mjq 173 3 form form NN cord-221669-uokr4mjq 173 4 for for IN cord-221669-uokr4mjq 173 5 P(t P(t NNP cord-221669-uokr4mjq 173 6 ) ) -RRB- cord-221669-uokr4mjq 173 7 , , , cord-221669-uokr4mjq 173 8 scaled scale VBN cord-221669-uokr4mjq 173 9 by by IN cord-221669-uokr4mjq 173 10 its -PRON- PRP$ cord-221669-uokr4mjq 173 11 maximum maximum JJ cord-221669-uokr4mjq 173 12 value value NN cord-221669-uokr4mjq 173 13 P p NN cord-221669-uokr4mjq 173 14 max max NN cord-221669-uokr4mjq 173 15 , , , cord-221669-uokr4mjq 173 16 is be VBZ cord-221669-uokr4mjq 173 17 shown show VBN cord-221669-uokr4mjq 173 18 in in IN cord-221669-uokr4mjq 173 19 Fig.5 Fig.5 NNP cord-221669-uokr4mjq 173 20 . . . cord-221669-uokr4mjq 174 1 The the DT cord-221669-uokr4mjq 174 2 inflection inflection NN cord-221669-uokr4mjq 174 3 point point NN cord-221669-uokr4mjq 174 4 of of IN cord-221669-uokr4mjq 174 5 P(t P(t NNP cord-221669-uokr4mjq 174 6 ) ) -RRB- cord-221669-uokr4mjq 174 7 at at IN cord-221669-uokr4mjq 174 8 t t NN cord-221669-uokr4mjq 174 9 = = SYM cord-221669-uokr4mjq 174 10 0 0 NFP cord-221669-uokr4mjq 174 11 is be VBZ cord-221669-uokr4mjq 174 12 indicated indicate VBN cord-221669-uokr4mjq 174 13 , , , cord-221669-uokr4mjq 174 14 where where WRB cord-221669-uokr4mjq 174 15 both both CC cord-221669-uokr4mjq 174 16 P(0)/P P(0)/P NNP cord-221669-uokr4mjq 174 17 max max NNP cord-221669-uokr4mjq 174 18 and and CC cord-221669-uokr4mjq 174 19 its -PRON- PRP$ cord-221669-uokr4mjq 174 20 slope slope NN cord-221669-uokr4mjq 174 21 ( ( -LRB- cord-221669-uokr4mjq 174 22 in in IN cord-221669-uokr4mjq 174 23 the the DT cord-221669-uokr4mjq 174 24 dimensionless dimensionless JJ cord-221669-uokr4mjq 174 25 time time NN cord-221669-uokr4mjq 174 26 variable variable JJ cord-221669-uokr4mjq 174 27 t t NN cord-221669-uokr4mjq 174 28 / / SYM cord-221669-uokr4mjq 174 29 τ τ NN cord-221669-uokr4mjq 174 30 ) ) -RRB- cord-221669-uokr4mjq 174 31 equal equal JJ cord-221669-uokr4mjq 174 32 e e NNP cord-221669-uokr4mjq 174 33 −1 −1 NN cord-221669-uokr4mjq 174 34 . . . cord-221669-uokr4mjq 175 1 This this DT cord-221669-uokr4mjq 175 2 last last JJ cord-221669-uokr4mjq 175 3 property property NN cord-221669-uokr4mjq 175 4 implies imply VBZ cord-221669-uokr4mjq 175 5 that that IN cord-221669-uokr4mjq 175 6 the the DT cord-221669-uokr4mjq 175 7 total total JJ cord-221669-uokr4mjq 175 8 number number NN cord-221669-uokr4mjq 175 9 of of IN cord-221669-uokr4mjq 175 10 cases case NNS cord-221669-uokr4mjq 175 11 P p NN cord-221669-uokr4mjq 175 12 max max NN cord-221669-uokr4mjq 175 13 and and CC cord-221669-uokr4mjq 175 14 the the DT cord-221669-uokr4mjq 175 15 cumulative cumulative JJ cord-221669-uokr4mjq 175 16 number number NN cord-221669-uokr4mjq 175 17 of of IN cord-221669-uokr4mjq 175 18 cases case NNS cord-221669-uokr4mjq 175 19 at at IN cord-221669-uokr4mjq 175 20 the the DT cord-221669-uokr4mjq 175 21 time time NN cord-221669-uokr4mjq 175 22 of of IN cord-221669-uokr4mjq 175 23 the the DT cord-221669-uokr4mjq 175 24 P(t p(t CD cord-221669-uokr4mjq 175 25 ) ) -RRB- cord-221669-uokr4mjq 175 26 inflection inflection NN cord-221669-uokr4mjq 175 27 point point NN cord-221669-uokr4mjq 175 28 ( ( -LRB- cord-221669-uokr4mjq 175 29 pandemic pandemic JJ cord-221669-uokr4mjq 175 30 maximum maximum NN cord-221669-uokr4mjq 175 31 ) ) -RRB- cord-221669-uokr4mjq 175 32 , , , cord-221669-uokr4mjq 175 33 P(t P(t NNP cord-221669-uokr4mjq 175 34 0 0 CD cord-221669-uokr4mjq 175 35 ) ) -RRB- cord-221669-uokr4mjq 175 36 , , , cord-221669-uokr4mjq 175 37 are be VBP cord-221669-uokr4mjq 175 38 related relate VBN cord-221669-uokr4mjq 175 39 by by IN cord-221669-uokr4mjq 175 40 P p NN cord-221669-uokr4mjq 175 41 max max NN cord-221669-uokr4mjq 175 42 = = NN cord-221669-uokr4mjq 175 43 e e NN cord-221669-uokr4mjq 175 44 · · NFP cord-221669-uokr4mjq 175 45 P(t p(t NN cord-221669-uokr4mjq 175 46 0 0 CD cord-221669-uokr4mjq 175 47 ) ) -RRB- cord-221669-uokr4mjq 175 48 . . . cord-221669-uokr4mjq 176 1 This this DT cord-221669-uokr4mjq 176 2 provides provide VBZ cord-221669-uokr4mjq 176 3 a a DT cord-221669-uokr4mjq 176 4 simple simple JJ cord-221669-uokr4mjq 176 5 estimate estimate NN cord-221669-uokr4mjq 176 6 of of IN cord-221669-uokr4mjq 176 7 the the DT cord-221669-uokr4mjq 176 8 total total JJ cord-221669-uokr4mjq 176 9 expected expect VBN cord-221669-uokr4mjq 176 10 cases case NNS cord-221669-uokr4mjq 176 11 P p NN cord-221669-uokr4mjq 176 12 max max NN cord-221669-uokr4mjq 176 13 from from IN cord-221669-uokr4mjq 176 14 the the DT cord-221669-uokr4mjq 176 15 number number NN cord-221669-uokr4mjq 176 16 observed observe VBN cord-221669-uokr4mjq 176 17 up up RP cord-221669-uokr4mjq 176 18 to to IN cord-221669-uokr4mjq 176 19 the the DT cord-221669-uokr4mjq 176 20 pandemic pandemic NN cord-221669-uokr4mjq 176 21 peak peak NN cord-221669-uokr4mjq 176 22 , , , cord-221669-uokr4mjq 176 23 P(t P(t NNP cord-221669-uokr4mjq 176 24 0 0 CD cord-221669-uokr4mjq 176 25 ) ) -RRB- cord-221669-uokr4mjq 176 26 , , , cord-221669-uokr4mjq 176 27 which which WDT cord-221669-uokr4mjq 176 28 may may MD cord-221669-uokr4mjq 176 29 already already RB cord-221669-uokr4mjq 176 30 be be VB cord-221669-uokr4mjq 176 31 known know VBN cord-221669-uokr4mjq 176 32 . . . cord-221669-uokr4mjq 177 1 Some some DT cord-221669-uokr4mjq 177 2 additional additional JJ cord-221669-uokr4mjq 177 3 times time NNS cord-221669-uokr4mjq 177 4 of of IN cord-221669-uokr4mjq 177 5 interest interest NN cord-221669-uokr4mjq 177 6 are be VBP cord-221669-uokr4mjq 177 7 those those DT cord-221669-uokr4mjq 177 8 at at IN cord-221669-uokr4mjq 177 9 which which WDT cord-221669-uokr4mjq 177 10 P(t P(t NNP cord-221669-uokr4mjq 177 11 ) ) -RRB- cord-221669-uokr4mjq 177 12 has have VBZ cord-221669-uokr4mjq 177 13 reached reach VBN cord-221669-uokr4mjq 177 14 10 10 CD cord-221669-uokr4mjq 177 15 % % NN cord-221669-uokr4mjq 177 16 , , , cord-221669-uokr4mjq 177 17 50 50 CD cord-221669-uokr4mjq 177 18 % % NN cord-221669-uokr4mjq 177 19 , , , cord-221669-uokr4mjq 177 20 90 90 CD cord-221669-uokr4mjq 177 21 % % NN cord-221669-uokr4mjq 177 22 and and CC cord-221669-uokr4mjq 177 23 99 99 CD cord-221669-uokr4mjq 177 24 % % NN cord-221669-uokr4mjq 177 25 of of IN cord-221669-uokr4mjq 177 26 the the DT cord-221669-uokr4mjq 177 27 total total JJ cord-221669-uokr4mjq 177 28 cumulative cumulative JJ cord-221669-uokr4mjq 177 29 cases case NNS cord-221669-uokr4mjq 177 30 ; ; : cord-221669-uokr4mjq 177 31 these these DT cord-221669-uokr4mjq 177 32 are be VBP cord-221669-uokr4mjq 177 33 respectively respectively RB cord-221669-uokr4mjq 177 34 ( ( -LRB- cord-221669-uokr4mjq 177 35 t t NN cord-221669-uokr4mjq 177 36 − − NN cord-221669-uokr4mjq 177 37 t t NN cord-221669-uokr4mjq 177 38 0 0 CD cord-221669-uokr4mjq 177 39 ) ) -RRB- cord-221669-uokr4mjq 178 1 /τ /τ . cord-221669-uokr4mjq 179 1 = = NFP cord-221669-uokr4mjq 180 1 −0.8340 −0.8340 UH cord-221669-uokr4mjq 180 2 , , , cord-221669-uokr4mjq 181 1 +0.3665 +0.3665 UH cord-221669-uokr4mjq 181 2 , , , cord-221669-uokr4mjq 181 3 +2.250 +2.250 NN cord-221669-uokr4mjq 181 4 , , , cord-221669-uokr4mjq 181 5 and and CC cord-221669-uokr4mjq 181 6 +4.600 +4.600 NN cord-221669-uokr4mjq 181 7 . . . cord-221669-uokr4mjq 182 1 The the DT cord-221669-uokr4mjq 182 2 universal universal JJ cord-221669-uokr4mjq 182 3 curve curve NN cord-221669-uokr4mjq 182 4 for for IN cord-221669-uokr4mjq 182 5 dP dP NNP cord-221669-uokr4mjq 182 6 / / SYM cord-221669-uokr4mjq 182 7 dt dt NNP cord-221669-uokr4mjq 182 8 , , , cord-221669-uokr4mjq 182 9 the the DT cord-221669-uokr4mjq 182 10 new new JJ cord-221669-uokr4mjq 182 11 cases case NNS cord-221669-uokr4mjq 182 12 per per IN cord-221669-uokr4mjq 182 13 day day NN cord-221669-uokr4mjq 182 14 , , , cord-221669-uokr4mjq 182 15 is be VBZ cord-221669-uokr4mjq 182 16 shown show VBN cord-221669-uokr4mjq 182 17 in in IN cord-221669-uokr4mjq 182 18 Fig.6 fig.6 NN cord-221669-uokr4mjq 182 19 , , , cord-221669-uokr4mjq 182 20 scaled scale VBN cord-221669-uokr4mjq 182 21 by by IN cord-221669-uokr4mjq 182 22 its -PRON- PRP$ cord-221669-uokr4mjq 182 23 maximum maximum JJ cord-221669-uokr4mjq 182 24 value value NN cord-221669-uokr4mjq 182 25 of of IN cord-221669-uokr4mjq 183 1 P p NN cord-221669-uokr4mjq 183 2 max max NN cord-221669-uokr4mjq 183 3 /eτ /eτ NNP cord-221669-uokr4mjq 183 4 . . . cord-221669-uokr4mjq 184 1 The the DT cord-221669-uokr4mjq 184 2 mean mean NN cord-221669-uokr4mjq 184 3 and and CC cord-221669-uokr4mjq 184 4 variance variance NN cord-221669-uokr4mjq 184 5 of of IN cord-221669-uokr4mjq 184 6 t t NN cord-221669-uokr4mjq 184 7 for for IN cord-221669-uokr4mjq 184 8 this this DT cord-221669-uokr4mjq 184 9 distribution distribution NN cord-221669-uokr4mjq 184 10 are be VBP cord-221669-uokr4mjq 184 11 < < XX cord-221669-uokr4mjq 184 12 t t NN cord-221669-uokr4mjq 185 1 > > XX cord-221669-uokr4mjq 186 1 = = NFP cord-221669-uokr4mjq 187 1 γτ γτ RB cord-221669-uokr4mjq 188 1 ( ( -LRB- cord-221669-uokr4mjq 188 2 γ γ NN cord-221669-uokr4mjq 188 3 is be VBZ cord-221669-uokr4mjq 188 4 Euler Euler NNP cord-221669-uokr4mjq 188 5 's 's POS cord-221669-uokr4mjq 188 6 constant constant JJ cord-221669-uokr4mjq 188 7 ) ) -RRB- cord-221669-uokr4mjq 188 8 and and CC cord-221669-uokr4mjq 188 9 σ σ NN cord-221669-uokr4mjq 188 10 = = NFP cord-221669-uokr4mjq 188 11 ( ( -LRB- cord-221669-uokr4mjq 188 12 π/ π/ NNS cord-221669-uokr4mjq 188 13 √ √ NNP cord-221669-uokr4mjq 188 14 6)τ 6)τ CD cord-221669-uokr4mjq 188 15 . . . cord-221669-uokr4mjq 189 1 The the DT cord-221669-uokr4mjq 189 2 skewness skewness NN cord-221669-uokr4mjq 189 3 [ [ -LRB- cord-221669-uokr4mjq 189 4 10 10 CD cord-221669-uokr4mjq 189 5 ] ] -RRB- cord-221669-uokr4mjq 189 6 of of IN cord-221669-uokr4mjq 189 7 dP dP NNP cord-221669-uokr4mjq 189 8 / / SYM cord-221669-uokr4mjq 189 9 dt dt NNP cord-221669-uokr4mjq 189 10 is be VBZ cord-221669-uokr4mjq 189 11 12 12 CD cord-221669-uokr4mjq 189 12 √ √ NNP cord-221669-uokr4mjq 189 13 6 6 CD cord-221669-uokr4mjq 189 14 ζ(3)/π ζ(3)/π NN cord-221669-uokr4mjq 189 15 3 3 CD cord-221669-uokr4mjq 189 16 ≈ ≈ NNPS cord-221669-uokr4mjq 190 1 +1.140 +1.140 NNP cord-221669-uokr4mjq 190 2 , , , cord-221669-uokr4mjq 190 3 a a DT cord-221669-uokr4mjq 190 4 positive positive JJ cord-221669-uokr4mjq 190 5 value value NN cord-221669-uokr4mjq 190 6 indicating indicate VBG cord-221669-uokr4mjq 190 7 a a DT cord-221669-uokr4mjq 190 8 more more RBR cord-221669-uokr4mjq 190 9 heavily heavily RB cord-221669-uokr4mjq 190 10 weighted weight VBN cord-221669-uokr4mjq 190 11 RHS rhs NN cord-221669-uokr4mjq 190 12 . . . cord-221669-uokr4mjq 191 1 Several several JJ cord-221669-uokr4mjq 191 2 additional additional JJ cord-221669-uokr4mjq 191 3 interesting interesting JJ cord-221669-uokr4mjq 191 4 features feature NNS cord-221669-uokr4mjq 191 5 of of IN cord-221669-uokr4mjq 191 6 dP dP NNP cord-221669-uokr4mjq 191 7 / / SYM cord-221669-uokr4mjq 191 8 dt dt NNP cord-221669-uokr4mjq 191 9 are be VBP cord-221669-uokr4mjq 191 10 the the DT cord-221669-uokr4mjq 191 11 FWHM FWHM NNP cord-221669-uokr4mjq 191 12 , , , cord-221669-uokr4mjq 191 13 2.446τ 2.446τ NNP cord-221669-uokr4mjq 191 14 ( ( -LRB- cord-221669-uokr4mjq 191 15 indicated indicate VBN cord-221669-uokr4mjq 191 16 in in IN cord-221669-uokr4mjq 191 17 Fig.6 Fig.6 NNP cord-221669-uokr4mjq 191 18 ) ) -RRB- cord-221669-uokr4mjq 191 19 , , , cord-221669-uokr4mjq 191 20 the the DT cord-221669-uokr4mjq 191 21 rise rise JJ cord-221669-uokr4mjq 191 22 time time NN cord-221669-uokr4mjq 191 23 of of IN cord-221669-uokr4mjq 191 24 dP dP NNP cord-221669-uokr4mjq 191 25 / / SYM cord-221669-uokr4mjq 191 26 dt dt NN cord-221669-uokr4mjq 191 27 from from IN cord-221669-uokr4mjq 191 28 half half JJ cord-221669-uokr4mjq 191 29 - - HYPH cord-221669-uokr4mjq 191 30 max max NN cord-221669-uokr4mjq 191 31 to to IN cord-221669-uokr4mjq 191 32 peak peak NN cord-221669-uokr4mjq 191 33 , , , cord-221669-uokr4mjq 191 34 which which WDT cord-221669-uokr4mjq 191 35 is be VBZ cord-221669-uokr4mjq 191 36 0.985τ 0.985τ CD cord-221669-uokr4mjq 191 37 ; ; : cord-221669-uokr4mjq 191 38 and and CC cord-221669-uokr4mjq 191 39 the the DT cord-221669-uokr4mjq 191 40 much much RB cord-221669-uokr4mjq 191 41 slower slow JJR cord-221669-uokr4mjq 191 42 decline decline NN cord-221669-uokr4mjq 191 43 of of IN cord-221669-uokr4mjq 191 44 dP dP NNP cord-221669-uokr4mjq 191 45 / / SYM cord-221669-uokr4mjq 191 46 dt dt NN cord-221669-uokr4mjq 191 47 from from IN cord-221669-uokr4mjq 191 48 peak peak NN cord-221669-uokr4mjq 191 49 to to IN cord-221669-uokr4mjq 191 50 half half JJ cord-221669-uokr4mjq 191 51 - - HYPH cord-221669-uokr4mjq 191 52 max max NN cord-221669-uokr4mjq 191 53 , , , cord-221669-uokr4mjq 191 54 which which WDT cord-221669-uokr4mjq 191 55 requires require VBZ cord-221669-uokr4mjq 191 56 1.461τ 1.461τ CD cord-221669-uokr4mjq 191 57 . . . cord-221669-uokr4mjq 192 1 The the DT cord-221669-uokr4mjq 192 2 asymptotic asymptotic JJ cord-221669-uokr4mjq 192 3 approach approach NN cord-221669-uokr4mjq 192 4 of of IN cord-221669-uokr4mjq 192 5 P(t P(t NNP cord-221669-uokr4mjq 192 6 ) ) -RRB- cord-221669-uokr4mjq 192 7 to to IN cord-221669-uokr4mjq 192 8 P p NN cord-221669-uokr4mjq 192 9 max max NN cord-221669-uokr4mjq 192 10 cases case NNS cord-221669-uokr4mjq 192 11 at at IN cord-221669-uokr4mjq 192 12 large large JJ cord-221669-uokr4mjq 192 13 times time NNS cord-221669-uokr4mjq 192 14 is be VBZ cord-221669-uokr4mjq 192 15 exponential exponential JJ cord-221669-uokr4mjq 192 16 , , , cord-221669-uokr4mjq 192 17 as as IN cord-221669-uokr4mjq 192 18 is be VBZ cord-221669-uokr4mjq 192 19 the the DT cord-221669-uokr4mjq 192 20 ( ( -LRB- cord-221669-uokr4mjq 192 21 decreasing decrease VBG cord-221669-uokr4mjq 192 22 ) ) -RRB- cord-221669-uokr4mjq 192 23 rate rate NN cord-221669-uokr4mjq 192 24 of of IN cord-221669-uokr4mjq 192 25 growth growth NN cord-221669-uokr4mjq 192 26 of of IN cord-221669-uokr4mjq 192 27 new new JJ cord-221669-uokr4mjq 192 28 cases case NNS cord-221669-uokr4mjq 192 29 at at IN cord-221669-uokr4mjq 192 30 large large JJ cord-221669-uokr4mjq 192 31 times time NNS cord-221669-uokr4mjq 192 32 , , , cord-221669-uokr4mjq 192 33 We -PRON- PRP cord-221669-uokr4mjq 192 34 note note VBP cord-221669-uokr4mjq 192 35 in in IN cord-221669-uokr4mjq 192 36 passing pass VBG cord-221669-uokr4mjq 192 37 that that IN cord-221669-uokr4mjq 192 38 these these DT cord-221669-uokr4mjq 192 39 results result NNS cord-221669-uokr4mjq 192 40 suggest suggest VBP cord-221669-uokr4mjq 192 41 an an DT cord-221669-uokr4mjq 192 42 improved improved JJ cord-221669-uokr4mjq 192 43 estimate estimate NN cord-221669-uokr4mjq 192 44 of of IN cord-221669-uokr4mjq 192 45 the the DT cord-221669-uokr4mjq 192 46 asymptotic asymptotic JJ cord-221669-uokr4mjq 192 47 total total JJ cord-221669-uokr4mjq 192 48 number number NN cord-221669-uokr4mjq 192 49 of of IN cord-221669-uokr4mjq 192 50 cases case NNS cord-221669-uokr4mjq 192 51 P p NN cord-221669-uokr4mjq 192 52 max max NN cord-221669-uokr4mjq 192 53 which which WDT cord-221669-uokr4mjq 192 54 has have VBZ cord-221669-uokr4mjq 192 55 accelerated accelerate VBN cord-221669-uokr4mjq 192 56 convergence convergence NN cord-221669-uokr4mjq 192 57 , , , cord-221669-uokr4mjq 192 58 although although IN cord-221669-uokr4mjq 192 59 this this DT cord-221669-uokr4mjq 192 60 improved improved JJ cord-221669-uokr4mjq 192 61 behavior behavior NN cord-221669-uokr4mjq 192 62 would would MD cord-221669-uokr4mjq 192 63 likely likely RB cord-221669-uokr4mjq 192 64 be be VB cord-221669-uokr4mjq 192 65 masked mask VBN cord-221669-uokr4mjq 192 66 in in IN cord-221669-uokr4mjq 192 67 practice practice NN cord-221669-uokr4mjq 192 68 by by IN cord-221669-uokr4mjq 192 69 the the DT cord-221669-uokr4mjq 192 70 background background NN cord-221669-uokr4mjq 192 71 of of IN cord-221669-uokr4mjq 192 72 sporadic sporadic JJ cord-221669-uokr4mjq 192 73 cases case NNS cord-221669-uokr4mjq 192 74 . . . cord-221669-uokr4mjq 193 1 In in IN cord-221669-uokr4mjq 193 2 this this DT cord-221669-uokr4mjq 193 3 section section NN cord-221669-uokr4mjq 193 4 we -PRON- PRP cord-221669-uokr4mjq 193 5 will will MD cord-221669-uokr4mjq 193 6 show show VB cord-221669-uokr4mjq 193 7 results result NNS cord-221669-uokr4mjq 193 8 from from IN cord-221669-uokr4mjq 193 9 fitting fit VBG cord-221669-uokr4mjq 193 10 the the DT cord-221669-uokr4mjq 193 11 predicted predict VBN cord-221669-uokr4mjq 193 12 early early JJ cord-221669-uokr4mjq 193 13 pandemic pandemic NN cord-221669-uokr4mjq 193 14 time time NN cord-221669-uokr4mjq 193 15 dependence dependence NN cord-221669-uokr4mjq 193 16 from from IN cord-221669-uokr4mjq 193 17 the the DT cord-221669-uokr4mjq 193 18 SHIR SHIR NNP cord-221669-uokr4mjq 193 19 model model NN cord-221669-uokr4mjq 193 20 as as IN cord-221669-uokr4mjq 193 21 derived derive VBN cord-221669-uokr4mjq 193 22 in in IN cord-221669-uokr4mjq 193 23 Sec Sec NNP cord-221669-uokr4mjq 193 24 . . . cord-221669-uokr4mjq 194 1 IIIA IIIA NNP cord-221669-uokr4mjq 194 2 to to IN cord-221669-uokr4mjq 194 3 data datum NNS cord-221669-uokr4mjq 194 4 for for IN cord-221669-uokr4mjq 194 5 the the DT cord-221669-uokr4mjq 194 6 confirmed confirm VBN cord-221669-uokr4mjq 194 7 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 194 8 case case NN cord-221669-uokr4mjq 194 9 numbers number NNS cord-221669-uokr4mjq 194 10 from from IN cord-221669-uokr4mjq 194 11 many many JJ cord-221669-uokr4mjq 194 12 different different JJ cord-221669-uokr4mjq 194 13 countries country NNS cord-221669-uokr4mjq 194 14 . . . cord-221669-uokr4mjq 195 1 We -PRON- PRP cord-221669-uokr4mjq 195 2 will will MD cord-221669-uokr4mjq 195 3 primarily primarily RB cord-221669-uokr4mjq 195 4 consider consider VB cord-221669-uokr4mjq 195 5 fits fit NNS cord-221669-uokr4mjq 195 6 of of IN cord-221669-uokr4mjq 195 7 the the DT cord-221669-uokr4mjq 195 8 new new JJ cord-221669-uokr4mjq 195 9 case case NN cord-221669-uokr4mjq 195 10 numbers number NNS cord-221669-uokr4mjq 195 11 per per IN cord-221669-uokr4mjq 195 12 day day NN cord-221669-uokr4mjq 195 13 ( ( -LRB- cord-221669-uokr4mjq 195 14 cpd cpd NNP cord-221669-uokr4mjq 195 15 ) ) -RRB- cord-221669-uokr4mjq 195 16 to to IN cord-221669-uokr4mjq 195 17 the the DT cord-221669-uokr4mjq 195 18 SHIR SHIR NNP cord-221669-uokr4mjq 195 19 model model NN cord-221669-uokr4mjq 195 20 prediction prediction NN cord-221669-uokr4mjq 195 21 , , , cord-221669-uokr4mjq 195 22 Eq.(37 Eq.(37 NNP cord-221669-uokr4mjq 195 23 ) ) -RRB- cord-221669-uokr4mjq 195 24 . . . cord-221669-uokr4mjq 196 1 As as IN cord-221669-uokr4mjq 196 2 an an DT cord-221669-uokr4mjq 196 3 initial initial JJ cord-221669-uokr4mjq 196 4 example example NN cord-221669-uokr4mjq 196 5 we -PRON- PRP cord-221669-uokr4mjq 196 6 will will MD cord-221669-uokr4mjq 196 7 show show VB cord-221669-uokr4mjq 196 8 results result NNS cord-221669-uokr4mjq 196 9 for for IN cord-221669-uokr4mjq 196 10 Austria Austria NNP cord-221669-uokr4mjq 196 11 , , , cord-221669-uokr4mjq 196 12 including include VBG cord-221669-uokr4mjq 196 13 fits fit NNS cord-221669-uokr4mjq 196 14 to to IN cord-221669-uokr4mjq 196 15 both both CC cord-221669-uokr4mjq 196 16 the the DT cord-221669-uokr4mjq 196 17 cpd cpd NNP cord-221669-uokr4mjq 196 18 and and CC cord-221669-uokr4mjq 196 19 the the DT cord-221669-uokr4mjq 196 20 cumulative cumulative JJ cord-221669-uokr4mjq 196 21 case case NN cord-221669-uokr4mjq 196 22 numbers number NNS cord-221669-uokr4mjq 196 23 . . . cord-221669-uokr4mjq 197 1 Following follow VBG cord-221669-uokr4mjq 197 2 this this DT cord-221669-uokr4mjq 197 3 we -PRON- PRP cord-221669-uokr4mjq 197 4 will will MD cord-221669-uokr4mjq 197 5 give give VB cord-221669-uokr4mjq 197 6 the the DT cord-221669-uokr4mjq 197 7 results result NNS cord-221669-uokr4mjq 197 8 of of IN cord-221669-uokr4mjq 197 9 SHIR SHIR NNP cord-221669-uokr4mjq 197 10 model model NN cord-221669-uokr4mjq 197 11 fits fit VBZ cord-221669-uokr4mjq 197 12 to to IN cord-221669-uokr4mjq 197 13 the the DT cord-221669-uokr4mjq 197 14 cpds cpds NN cord-221669-uokr4mjq 197 15 reported report VBN cord-221669-uokr4mjq 197 16 by by IN cord-221669-uokr4mjq 197 17 a a DT cord-221669-uokr4mjq 197 18 representative representative JJ cord-221669-uokr4mjq 197 19 set set NN cord-221669-uokr4mjq 197 20 of of IN cord-221669-uokr4mjq 197 21 Western western JJ cord-221669-uokr4mjq 197 22 countries country NNS cord-221669-uokr4mjq 197 23 , , , cord-221669-uokr4mjq 197 24 and and CC cord-221669-uokr4mjq 197 25 will will MD cord-221669-uokr4mjq 197 26 compare compare VB cord-221669-uokr4mjq 197 27 and and CC cord-221669-uokr4mjq 197 28 contrast contrast VB cord-221669-uokr4mjq 197 29 these these DT cord-221669-uokr4mjq 197 30 results result NNS cord-221669-uokr4mjq 197 31 . . . cord-221669-uokr4mjq 198 1 We -PRON- PRP cord-221669-uokr4mjq 198 2 will will MD cord-221669-uokr4mjq 198 3 also also RB cord-221669-uokr4mjq 198 4 discuss discuss VB cord-221669-uokr4mjq 198 5 procedures procedure NNS cord-221669-uokr4mjq 198 6 for for IN cord-221669-uokr4mjq 198 7 fitting fit VBG cord-221669-uokr4mjq 198 8 more more RBR cord-221669-uokr4mjq 198 9 complicated complicated JJ cord-221669-uokr4mjq 198 10 datasets dataset NNS cord-221669-uokr4mjq 198 11 that that WDT cord-221669-uokr4mjq 198 12 show show VBP cord-221669-uokr4mjq 198 13 evidence evidence NN cord-221669-uokr4mjq 198 14 for for IN cord-221669-uokr4mjq 198 15 multiple multiple JJ cord-221669-uokr4mjq 198 16 infection infection NN cord-221669-uokr4mjq 198 17 sites site NNS cord-221669-uokr4mjq 198 18 , , , cord-221669-uokr4mjq 198 19 and and CC cord-221669-uokr4mjq 198 20 will will MD cord-221669-uokr4mjq 198 21 show show VB cord-221669-uokr4mjq 198 22 examples example NNS cord-221669-uokr4mjq 198 23 of of IN cord-221669-uokr4mjq 198 24 such such JJ cord-221669-uokr4mjq 198 25 fits fit NNS cord-221669-uokr4mjq 198 26 . . . cord-221669-uokr4mjq 199 1 Finally finally RB cord-221669-uokr4mjq 199 2 we -PRON- PRP cord-221669-uokr4mjq 199 3 will will MD cord-221669-uokr4mjq 199 4 show show VB cord-221669-uokr4mjq 199 5 how how WRB cord-221669-uokr4mjq 199 6 datasets dataset NNS cord-221669-uokr4mjq 199 7 from from IN cord-221669-uokr4mjq 199 8 multiple multiple JJ cord-221669-uokr4mjq 199 9 countries country NNS cord-221669-uokr4mjq 199 10 can can MD cord-221669-uokr4mjq 199 11 be be VB cord-221669-uokr4mjq 199 12 combined combine VBN cord-221669-uokr4mjq 199 13 , , , cord-221669-uokr4mjq 199 14 and and CC cord-221669-uokr4mjq 199 15 will will MD cord-221669-uokr4mjq 199 16 use use VB cord-221669-uokr4mjq 199 17 this this DT cord-221669-uokr4mjq 199 18 procedure procedure NN cord-221669-uokr4mjq 199 19 to to TO cord-221669-uokr4mjq 199 20 test test VB cord-221669-uokr4mjq 199 21 the the DT cord-221669-uokr4mjq 199 22 predicted predict VBN cord-221669-uokr4mjq 199 23 SHIR SHIR NNP cord-221669-uokr4mjq 199 24 model model NN cord-221669-uokr4mjq 199 25 profile profile NN cord-221669-uokr4mjq 199 26 for for IN cord-221669-uokr4mjq 199 27 new new JJ cord-221669-uokr4mjq 199 28 cases case NNS cord-221669-uokr4mjq 199 29 per per IN cord-221669-uokr4mjq 199 30 day day NN cord-221669-uokr4mjq 199 31 , , , cord-221669-uokr4mjq 199 32 displayed display VBN cord-221669-uokr4mjq 199 33 as as IN cord-221669-uokr4mjq 199 34 a a DT cord-221669-uokr4mjq 199 35 universal universal JJ cord-221669-uokr4mjq 199 36 ( ( -LRB- cord-221669-uokr4mjq 199 37 parameter parameter NN cord-221669-uokr4mjq 199 38 - - HYPH cord-221669-uokr4mjq 199 39 free free JJ cord-221669-uokr4mjq 199 40 ) ) -RRB- cord-221669-uokr4mjq 199 41 curve curve NN cord-221669-uokr4mjq 199 42 . . . cord-221669-uokr4mjq 200 1 As as IN cord-221669-uokr4mjq 200 2 a a DT cord-221669-uokr4mjq 200 3 first first JJ cord-221669-uokr4mjq 200 4 application application NN cord-221669-uokr4mjq 200 5 we -PRON- PRP cord-221669-uokr4mjq 200 6 will will MD cord-221669-uokr4mjq 200 7 fit fit VB cord-221669-uokr4mjq 200 8 the the DT cord-221669-uokr4mjq 200 9 three three CD cord-221669-uokr4mjq 200 10 - - HYPH cord-221669-uokr4mjq 200 11 parameter parameter NN cord-221669-uokr4mjq 200 12 SHIR SHIR NNP cord-221669-uokr4mjq 200 13 model model NN cord-221669-uokr4mjq 200 14 to to IN cord-221669-uokr4mjq 200 15 the the DT cord-221669-uokr4mjq 200 16 data datum NNS cord-221669-uokr4mjq 200 17 on on IN cord-221669-uokr4mjq 200 18 the the DT cord-221669-uokr4mjq 200 19 number number NN cord-221669-uokr4mjq 200 20 of of IN cord-221669-uokr4mjq 200 21 new new JJ cord-221669-uokr4mjq 200 22 daily daily JJ cord-221669-uokr4mjq 200 23 COVID-19 covid-19 JJ cord-221669-uokr4mjq 200 24 cases case NNS cord-221669-uokr4mjq 200 25 per per IN cord-221669-uokr4mjq 200 26 day day NN cord-221669-uokr4mjq 200 27 in in IN cord-221669-uokr4mjq 200 28 Austria Austria NNP cord-221669-uokr4mjq 200 29 , , , cord-221669-uokr4mjq 200 30 as as IN cord-221669-uokr4mjq 200 31 reported report VBN cord-221669-uokr4mjq 200 32 on on IN cord-221669-uokr4mjq 200 33 the the DT cord-221669-uokr4mjq 200 34 Worldometer Worldometer NNP cord-221669-uokr4mjq 200 35 website website NN cord-221669-uokr4mjq 200 36 , , , cord-221669-uokr4mjq 200 37 Ref Ref NNP cord-221669-uokr4mjq 200 38 . . . cord-221669-uokr4mjq 201 1 [ [ -LRB- cord-221669-uokr4mjq 201 2 7 7 CD cord-221669-uokr4mjq 201 3 ] ] -RRB- cord-221669-uokr4mjq 201 4 . . . cord-221669-uokr4mjq 202 1 Austria Austria NNP cord-221669-uokr4mjq 202 2 was be VBD cord-221669-uokr4mjq 202 3 chosen choose VBN cord-221669-uokr4mjq 202 4 because because IN cord-221669-uokr4mjq 202 5 it -PRON- PRP cord-221669-uokr4mjq 202 6 represents represent VBZ cord-221669-uokr4mjq 202 7 one one CD cord-221669-uokr4mjq 202 8 of of IN cord-221669-uokr4mjq 202 9 the the DT cord-221669-uokr4mjq 202 10 earliest early JJS cord-221669-uokr4mjq 202 11 COVID-19 covid-19 CD cord-221669-uokr4mjq 202 12 outbreaks outbreak NNS cord-221669-uokr4mjq 202 13 in in IN cord-221669-uokr4mjq 202 14 Europe Europe NNP cord-221669-uokr4mjq 202 15 , , , cord-221669-uokr4mjq 202 16 so so RB cord-221669-uokr4mjq 202 17 their -PRON- PRP$ cord-221669-uokr4mjq 202 18 data datum NNS cord-221669-uokr4mjq 202 19 allows allow VBZ cord-221669-uokr4mjq 202 20 us -PRON- PRP cord-221669-uokr4mjq 202 21 to to TO cord-221669-uokr4mjq 202 22 follow follow VB cord-221669-uokr4mjq 202 23 both both CC cord-221669-uokr4mjq 202 24 the the DT cord-221669-uokr4mjq 202 25 earlier early JJR cord-221669-uokr4mjq 202 26 and and CC cord-221669-uokr4mjq 202 27 later later JJ cord-221669-uokr4mjq 202 28 stages stage NNS cord-221669-uokr4mjq 202 29 of of IN cord-221669-uokr4mjq 202 30 the the DT cord-221669-uokr4mjq 202 31 pandemic pandemic NN cord-221669-uokr4mjq 202 32 . . . cord-221669-uokr4mjq 203 1 For for IN cord-221669-uokr4mjq 203 2 this this DT cord-221669-uokr4mjq 203 3 fit fit NN cord-221669-uokr4mjq 203 4 we -PRON- PRP cord-221669-uokr4mjq 203 5 will will MD cord-221669-uokr4mjq 203 6 use use VB cord-221669-uokr4mjq 203 7 the the DT cord-221669-uokr4mjq 203 8 entire entire JJ cord-221669-uokr4mjq 203 9 Austrian austrian JJ cord-221669-uokr4mjq 203 10 cpd cpd NN cord-221669-uokr4mjq 203 11 dataset dataset NN cord-221669-uokr4mjq 203 12 from from IN cord-221669-uokr4mjq 203 13 the the DT cord-221669-uokr4mjq 203 14 initial initial JJ cord-221669-uokr4mjq 203 15 website website NN cord-221669-uokr4mjq 203 16 date date NN cord-221669-uokr4mjq 203 17 of of IN cord-221669-uokr4mjq 203 18 15 15 CD cord-221669-uokr4mjq 203 19 Feb Feb NNP cord-221669-uokr4mjq 203 20 2020 2020 CD cord-221669-uokr4mjq 203 21 through through IN cord-221669-uokr4mjq 203 22 06 06 CD cord-221669-uokr4mjq 203 23 May May NNP cord-221669-uokr4mjq 203 24 2020 2020 CD cord-221669-uokr4mjq 203 25 , , , cord-221669-uokr4mjq 203 26 comprising comprise VBG cord-221669-uokr4mjq 203 27 a a DT cord-221669-uokr4mjq 203 28 nominal nominal JJ cord-221669-uokr4mjq 203 29 82 82 CD cord-221669-uokr4mjq 203 30 data data NN cord-221669-uokr4mjq 203 31 points point NNS cord-221669-uokr4mjq 203 32 . . . cord-221669-uokr4mjq 204 1 ( ( -LRB- cord-221669-uokr4mjq 204 2 For for IN cord-221669-uokr4mjq 204 3 most most JJS cord-221669-uokr4mjq 204 4 countries country NNS cord-221669-uokr4mjq 204 5 we -PRON- PRP cord-221669-uokr4mjq 204 6 consider consider VBP cord-221669-uokr4mjq 204 7 , , , cord-221669-uokr4mjq 204 8 including include VBG cord-221669-uokr4mjq 204 9 Austria Austria NNP cord-221669-uokr4mjq 204 10 , , , cord-221669-uokr4mjq 204 11 there there EX cord-221669-uokr4mjq 204 12 are be VBP cord-221669-uokr4mjq 204 13 actually actually RB cord-221669-uokr4mjq 204 14 many many JJ cord-221669-uokr4mjq 204 15 " " `` cord-221669-uokr4mjq 204 16 null null JJ cord-221669-uokr4mjq 204 17 " " '' cord-221669-uokr4mjq 204 18 or or CC cord-221669-uokr4mjq 204 19 zero zero CD cord-221669-uokr4mjq 204 20 entries entry NNS cord-221669-uokr4mjq 204 21 in in IN cord-221669-uokr4mjq 204 22 the the DT cord-221669-uokr4mjq 204 23 early early JJ cord-221669-uokr4mjq 204 24 dates date NNS cord-221669-uokr4mjq 204 25 . . . cord-221669-uokr4mjq 204 26 ) ) -RRB- cord-221669-uokr4mjq 205 1 As as IN cord-221669-uokr4mjq 205 2 a a DT cord-221669-uokr4mjq 205 3 reminder reminder NN cord-221669-uokr4mjq 205 4 , , , cord-221669-uokr4mjq 205 5 in in IN cord-221669-uokr4mjq 205 6 the the DT cord-221669-uokr4mjq 205 7 small small JJ cord-221669-uokr4mjq 205 8 fraction fraction NN cord-221669-uokr4mjq 205 9 of of IN cord-221669-uokr4mjq 205 10 infections infection NNS cord-221669-uokr4mjq 205 11 limit limit NN cord-221669-uokr4mjq 205 12 assumed assume VBN cord-221669-uokr4mjq 205 13 here here RB cord-221669-uokr4mjq 205 14 one one PRP cord-221669-uokr4mjq 205 15 may may MD cord-221669-uokr4mjq 205 16 solve solve VB cord-221669-uokr4mjq 205 17 the the DT cord-221669-uokr4mjq 205 18 model model NN cord-221669-uokr4mjq 205 19 for for IN cord-221669-uokr4mjq 205 20 the the DT cord-221669-uokr4mjq 205 21 cumulative cumulative JJ cord-221669-uokr4mjq 205 22 case case NN cord-221669-uokr4mjq 205 23 numbers number NNS cord-221669-uokr4mjq 205 24 of of IN cord-221669-uokr4mjq 205 25 infected infected JJ cord-221669-uokr4mjq 205 26 people people NNS cord-221669-uokr4mjq 205 27 P(t P(t NNPS cord-221669-uokr4mjq 205 28 ) ) -RRB- cord-221669-uokr4mjq 205 29 and and CC cord-221669-uokr4mjq 205 30 hence hence RB cord-221669-uokr4mjq 205 31 the the DT cord-221669-uokr4mjq 205 32 rate rate NN cord-221669-uokr4mjq 205 33 of of IN cord-221669-uokr4mjq 205 34 new new JJ cord-221669-uokr4mjq 205 35 cases case NNS cord-221669-uokr4mjq 205 36 per per IN cord-221669-uokr4mjq 205 37 day day NN cord-221669-uokr4mjq 205 38 dP dp NN cord-221669-uokr4mjq 205 39 / / SYM cord-221669-uokr4mjq 205 40 dt dt NN cord-221669-uokr4mjq 205 41 in in IN cord-221669-uokr4mjq 205 42 closed closed JJ cord-221669-uokr4mjq 205 43 form form NN cord-221669-uokr4mjq 205 44 , , , cord-221669-uokr4mjq 205 45 given give VBN cord-221669-uokr4mjq 205 46 by by IN cord-221669-uokr4mjq 205 47 Eqs Eqs NNP cord-221669-uokr4mjq 205 48 . . . cord-221669-uokr4mjq 205 49 ( ( -LRB- cord-221669-uokr4mjq 205 50 36,37 36,37 CD cord-221669-uokr4mjq 205 51 ) ) -RRB- cord-221669-uokr4mjq 205 52 . . . cord-221669-uokr4mjq 206 1 The the DT cord-221669-uokr4mjq 206 2 three three CD cord-221669-uokr4mjq 206 3 free free JJ cord-221669-uokr4mjq 206 4 parameters parameter NNS cord-221669-uokr4mjq 206 5 in in IN cord-221669-uokr4mjq 206 6 these these DT cord-221669-uokr4mjq 206 7 functions function NNS cord-221669-uokr4mjq 206 8 are be VBP cord-221669-uokr4mjq 206 9 P p NN cord-221669-uokr4mjq 206 10 max max NN cord-221669-uokr4mjq 206 11 ( ( -LRB- cord-221669-uokr4mjq 206 12 total total JJ cord-221669-uokr4mjq 206 13 number number NN cord-221669-uokr4mjq 206 14 of of IN cord-221669-uokr4mjq 206 15 cases case NNS cord-221669-uokr4mjq 206 16 ) ) -RRB- cord-221669-uokr4mjq 206 17 , , , cord-221669-uokr4mjq 206 18 τ τ NN cord-221669-uokr4mjq 206 19 ( ( -LRB- cord-221669-uokr4mjq 206 20 social social JJ cord-221669-uokr4mjq 206 21 response response NN cord-221669-uokr4mjq 206 22 time time NN cord-221669-uokr4mjq 206 23 ) ) -RRB- cord-221669-uokr4mjq 206 24 , , , cord-221669-uokr4mjq 206 25 and and CC cord-221669-uokr4mjq 206 26 t t NN cord-221669-uokr4mjq 206 27 0 0 CD cord-221669-uokr4mjq 206 28 ( ( -LRB- cord-221669-uokr4mjq 206 29 the the DT cord-221669-uokr4mjq 206 30 P(t p(t CD cord-221669-uokr4mjq 206 31 ) ) -RRB- cord-221669-uokr4mjq 206 32 inflection inflection NN cord-221669-uokr4mjq 206 33 point point NN cord-221669-uokr4mjq 206 34 ; ; : cord-221669-uokr4mjq 206 35 time time NN cord-221669-uokr4mjq 206 36 of of IN cord-221669-uokr4mjq 206 37 the the DT cord-221669-uokr4mjq 206 38 maximum maximum JJ cord-221669-uokr4mjq 206 39 cases case NNS cord-221669-uokr4mjq 206 40 per per IN cord-221669-uokr4mjq 206 41 day day NN cord-221669-uokr4mjq 206 42 ) ) -RRB- cord-221669-uokr4mjq 206 43 . . . cord-221669-uokr4mjq 207 1 Our -PRON- PRP$ cord-221669-uokr4mjq 207 2 common common JJ cord-221669-uokr4mjq 207 3 t t NN cord-221669-uokr4mjq 207 4 = = SYM cord-221669-uokr4mjq 207 5 0 0 CD cord-221669-uokr4mjq 207 6 reference reference NN cord-221669-uokr4mjq 207 7 time time NN cord-221669-uokr4mjq 207 8 in in IN cord-221669-uokr4mjq 207 9 all all PDT cord-221669-uokr4mjq 207 10 these these DT cord-221669-uokr4mjq 207 11 numerical numerical JJ cord-221669-uokr4mjq 207 12 fits fit NNS cord-221669-uokr4mjq 207 13 and and CC cord-221669-uokr4mjq 207 14 discussions discussion NNS cord-221669-uokr4mjq 207 15 is be VBZ cord-221669-uokr4mjq 207 16 taken take VBN cord-221669-uokr4mjq 207 17 to to TO cord-221669-uokr4mjq 207 18 be be VB cord-221669-uokr4mjq 207 19 18 18 CD cord-221669-uokr4mjq 207 20 Mar Mar NNP cord-221669-uokr4mjq 207 21 2020 2020 CD cord-221669-uokr4mjq 207 22 . . . cord-221669-uokr4mjq 208 1 The the DT cord-221669-uokr4mjq 208 2 fits fit NNS cord-221669-uokr4mjq 208 3 are be VBP cord-221669-uokr4mjq 208 4 all all RB cord-221669-uokr4mjq 208 5 simple simple JJ cord-221669-uokr4mjq 208 6 , , , cord-221669-uokr4mjq 208 7 unweighted unweighted JJ cord-221669-uokr4mjq 208 8 leastsquares leastsquare NNS cord-221669-uokr4mjq 208 9 without without IN cord-221669-uokr4mjq 208 10 data data NN cord-221669-uokr4mjq 208 11 errors error NNS cord-221669-uokr4mjq 208 12 . . . cord-221669-uokr4mjq 209 1 The the DT cord-221669-uokr4mjq 209 2 result result NN cord-221669-uokr4mjq 209 3 of of IN cord-221669-uokr4mjq 209 4 this this DT cord-221669-uokr4mjq 209 5 fit fit NN cord-221669-uokr4mjq 209 6 for for IN cord-221669-uokr4mjq 209 7 Austria Austria NNP cord-221669-uokr4mjq 209 8 is be VBZ cord-221669-uokr4mjq 209 9 shown show VBN cord-221669-uokr4mjq 209 10 in in IN cord-221669-uokr4mjq 209 11 Fig.7 fig.7 CD cord-221669-uokr4mjq 209 12 . . . cord-221669-uokr4mjq 210 1 This this DT cord-221669-uokr4mjq 210 2 is be VBZ cord-221669-uokr4mjq 210 3 a a DT cord-221669-uokr4mjq 210 4 surprisingly surprisingly RB cord-221669-uokr4mjq 210 5 good good JJ cord-221669-uokr4mjq 210 6 fit fit NN cord-221669-uokr4mjq 210 7 to to IN cord-221669-uokr4mjq 210 8 the the DT cord-221669-uokr4mjq 210 9 full full JJ cord-221669-uokr4mjq 210 10 range range NN cord-221669-uokr4mjq 210 11 of of IN cord-221669-uokr4mjq 210 12 the the DT cord-221669-uokr4mjq 210 13 cpd cpd NNP cord-221669-uokr4mjq 210 14 data datum NNS cord-221669-uokr4mjq 210 15 , , , cord-221669-uokr4mjq 210 16 including include VBG cord-221669-uokr4mjq 210 17 the the DT cord-221669-uokr4mjq 210 18 rapid rapid JJ cord-221669-uokr4mjq 210 19 initial initial JJ cord-221669-uokr4mjq 210 20 rise rise NN cord-221669-uokr4mjq 210 21 after after IN cord-221669-uokr4mjq 210 22 the the DT cord-221669-uokr4mjq 210 23 early early JJ cord-221669-uokr4mjq 210 24 cases case NNS cord-221669-uokr4mjq 210 25 , , , cord-221669-uokr4mjq 210 26 the the DT cord-221669-uokr4mjq 210 27 peak peak NN cord-221669-uokr4mjq 210 28 region region NN cord-221669-uokr4mjq 210 29 , , , cord-221669-uokr4mjq 210 30 and and CC cord-221669-uokr4mjq 210 31 the the DT cord-221669-uokr4mjq 210 32 subsequent subsequent JJ cord-221669-uokr4mjq 210 33 slower slow JJR cord-221669-uokr4mjq 210 34 decline decline NN cord-221669-uokr4mjq 210 35 ; ; : cord-221669-uokr4mjq 210 36 all all DT cord-221669-uokr4mjq 210 37 are be VBP cord-221669-uokr4mjq 210 38 reasonably reasonably RB cord-221669-uokr4mjq 210 39 well well RB cord-221669-uokr4mjq 210 40 described describe VBN cord-221669-uokr4mjq 210 41 by by IN cord-221669-uokr4mjq 210 42 the the DT cord-221669-uokr4mjq 210 43 model model NN cord-221669-uokr4mjq 210 44 [ [ -LRB- cord-221669-uokr4mjq 210 45 11 11 CD cord-221669-uokr4mjq 210 46 ] ] -RRB- cord-221669-uokr4mjq 210 47 . . . cord-221669-uokr4mjq 211 1 The the DT cord-221669-uokr4mjq 211 2 SHIR SHIR NNP cord-221669-uokr4mjq 211 3 model model NN cord-221669-uokr4mjq 211 4 parameters parameter NNS cord-221669-uokr4mjq 211 5 resulting result VBG cord-221669-uokr4mjq 211 6 from from IN cord-221669-uokr4mjq 211 7 this this DT cord-221669-uokr4mjq 211 8 fit fit NN cord-221669-uokr4mjq 211 9 to to IN cord-221669-uokr4mjq 211 10 the the DT cord-221669-uokr4mjq 211 11 cpd cpd NNP cord-221669-uokr4mjq 211 12 data data NN cord-221669-uokr4mjq 211 13 from from IN cord-221669-uokr4mjq 211 14 Austria Austria NNP cord-221669-uokr4mjq 211 15 are be VBP cord-221669-uokr4mjq 211 16 given give VBN cord-221669-uokr4mjq 211 17 below below RB cord-221669-uokr4mjq 211 18 . . . cord-221669-uokr4mjq 211 19 _SP cord-221669-uokr4mjq 212 1 These these DT cord-221669-uokr4mjq 212 2 and and CC cord-221669-uokr4mjq 212 3 other other JJ cord-221669-uokr4mjq 212 4 fitted fit VBN cord-221669-uokr4mjq 212 5 parameters parameter NNS cord-221669-uokr4mjq 212 6 are be VBP cord-221669-uokr4mjq 212 7 typically typically RB cord-221669-uokr4mjq 212 8 quoted quote VBN cord-221669-uokr4mjq 212 9 to to IN cord-221669-uokr4mjq 212 10 three three CD cord-221669-uokr4mjq 212 11 - - HYPH cord-221669-uokr4mjq 212 12 place place NN cord-221669-uokr4mjq 212 13 accuracy accuracy NN cord-221669-uokr4mjq 212 14 in in IN cord-221669-uokr4mjq 212 15 this this DT cord-221669-uokr4mjq 212 16 paper paper NN cord-221669-uokr4mjq 212 17 , , , cord-221669-uokr4mjq 212 18 to to TO cord-221669-uokr4mjq 212 19 allow allow VB cord-221669-uokr4mjq 212 20 numerical numerical JJ cord-221669-uokr4mjq 212 21 tests test NNS cord-221669-uokr4mjq 212 22 such such JJ cord-221669-uokr4mjq 212 23 as as IN cord-221669-uokr4mjq 212 24 debugging debugging NN cord-221669-uokr4mjq 212 25 of of IN cord-221669-uokr4mjq 212 26 numerical numerical JJ cord-221669-uokr4mjq 212 27 routines routine NNS cord-221669-uokr4mjq 212 28 and and CC cord-221669-uokr4mjq 212 29 checking check VBG cord-221669-uokr4mjq 212 30 analytic analytic JJ cord-221669-uokr4mjq 212 31 results result NNS cord-221669-uokr4mjq 212 32 . . . cord-221669-uokr4mjq 213 1 There there EX cord-221669-uokr4mjq 213 2 is be VBZ cord-221669-uokr4mjq 213 3 evidently evidently RB cord-221669-uokr4mjq 213 4 reasonable reasonable JJ cord-221669-uokr4mjq 213 5 agreement agreement NN cord-221669-uokr4mjq 213 6 between between IN cord-221669-uokr4mjq 213 7 the the DT cord-221669-uokr4mjq 213 8 SHIR SHIR NNP cord-221669-uokr4mjq 213 9 model model NN cord-221669-uokr4mjq 213 10 and and CC cord-221669-uokr4mjq 213 11 the the DT cord-221669-uokr4mjq 213 12 data datum NNS cord-221669-uokr4mjq 213 13 with with IN cord-221669-uokr4mjq 213 14 these these DT cord-221669-uokr4mjq 213 15 parameters parameter NNS cord-221669-uokr4mjq 213 16 for for IN cord-221669-uokr4mjq 213 17 the the DT cord-221669-uokr4mjq 213 18 number number NN cord-221669-uokr4mjq 213 19 of of IN cord-221669-uokr4mjq 213 20 new new JJ cord-221669-uokr4mjq 213 21 cases case NNS cord-221669-uokr4mjq 213 22 per per IN cord-221669-uokr4mjq 213 23 day day NN cord-221669-uokr4mjq 213 24 , , , cord-221669-uokr4mjq 213 25 although although IN cord-221669-uokr4mjq 213 26 there there EX cord-221669-uokr4mjq 213 27 is be VBZ cord-221669-uokr4mjq 213 28 considerable considerable JJ cord-221669-uokr4mjq 213 29 scatter scatter NN cord-221669-uokr4mjq 213 30 in in IN cord-221669-uokr4mjq 213 31 the the DT cord-221669-uokr4mjq 213 32 data datum NNS cord-221669-uokr4mjq 213 33 . . . cord-221669-uokr4mjq 214 1 The the DT cord-221669-uokr4mjq 214 2 numerical numerical JJ cord-221669-uokr4mjq 214 3 value value NN cord-221669-uokr4mjq 214 4 of of IN cord-221669-uokr4mjq 214 5 the the DT cord-221669-uokr4mjq 214 6 peak peak NN cord-221669-uokr4mjq 214 7 predicted predict VBN cord-221669-uokr4mjq 214 8 cpd cpd NNP cord-221669-uokr4mjq 214 9 , , , cord-221669-uokr4mjq 214 10 P p NN cord-221669-uokr4mjq 214 11 max max NN cord-221669-uokr4mjq 214 12 /eτ /eτ NNP cord-221669-uokr4mjq 214 13 , , , cord-221669-uokr4mjq 214 14 and and CC cord-221669-uokr4mjq 214 15 the the DT cord-221669-uokr4mjq 214 16 time time NN cord-221669-uokr4mjq 214 17 of of IN cord-221669-uokr4mjq 214 18 the the DT cord-221669-uokr4mjq 214 19 peak peak NN cord-221669-uokr4mjq 214 20 , , , cord-221669-uokr4mjq 214 21 t t NNP cord-221669-uokr4mjq 214 22 inf inf NNP cord-221669-uokr4mjq 214 23 l l NN cord-221669-uokr4mjq 214 24 = = SYM cord-221669-uokr4mjq 214 25 t t NN cord-221669-uokr4mjq 214 26 0 0 CD cord-221669-uokr4mjq 214 27 are be VBP cord-221669-uokr4mjq 214 28 indicated indicate VBN cord-221669-uokr4mjq 214 29 by by IN cord-221669-uokr4mjq 214 30 a a DT cord-221669-uokr4mjq 214 31 single single JJ cord-221669-uokr4mjq 214 32 large large JJ cord-221669-uokr4mjq 214 33 point point NN cord-221669-uokr4mjq 214 34 in in IN cord-221669-uokr4mjq 214 35 Fig.7 fig.7 CD cord-221669-uokr4mjq 214 36 . . . cord-221669-uokr4mjq 215 1 These these DT cord-221669-uokr4mjq 215 2 values value NNS cord-221669-uokr4mjq 215 3 are be VBP cord-221669-uokr4mjq 215 4 respectively respectively RB cord-221669-uokr4mjq 215 5 728 728 CD cord-221669-uokr4mjq 215 6 [ [ -LRB- cord-221669-uokr4mjq 215 7 cases case NNS cord-221669-uokr4mjq 215 8 / / SYM cord-221669-uokr4mjq 215 9 day day NN cord-221669-uokr4mjq 215 10 ] ] -RRB- cord-221669-uokr4mjq 215 11 and and CC cord-221669-uokr4mjq 215 12 7.32 7.32 CD cord-221669-uokr4mjq 215 13 [ [ -LRB- cord-221669-uokr4mjq 215 14 days day NNS cord-221669-uokr4mjq 215 15 ] ] -RRB- cord-221669-uokr4mjq 216 1 ( ( -LRB- cord-221669-uokr4mjq 216 2 measured measure VBN cord-221669-uokr4mjq 216 3 from from IN cord-221669-uokr4mjq 216 4 t t NN cord-221669-uokr4mjq 216 5 = = SYM cord-221669-uokr4mjq 216 6 0 0 CD cord-221669-uokr4mjq 216 7 on on IN cord-221669-uokr4mjq 216 8 18 18 CD cord-221669-uokr4mjq 216 9 Mar Mar NNP cord-221669-uokr4mjq 216 10 2020 2020 CD cord-221669-uokr4mjq 216 11 ) ) -RRB- cord-221669-uokr4mjq 216 12 , , , cord-221669-uokr4mjq 216 13 giving give VBG cord-221669-uokr4mjq 216 14 25 25 CD cord-221669-uokr4mjq 216 15 Mar Mar NNP cord-221669-uokr4mjq 216 16 2020 2020 CD cord-221669-uokr4mjq 216 17 as as IN cord-221669-uokr4mjq 216 18 the the DT cord-221669-uokr4mjq 216 19 peak peak NN cord-221669-uokr4mjq 216 20 date date NN cord-221669-uokr4mjq 216 21 for for IN cord-221669-uokr4mjq 216 22 new new JJ cord-221669-uokr4mjq 216 23 cases case NNS cord-221669-uokr4mjq 216 24 per per IN cord-221669-uokr4mjq 216 25 day day NN cord-221669-uokr4mjq 216 26 in in IN cord-221669-uokr4mjq 216 27 Austria Austria NNP cord-221669-uokr4mjq 216 28 implied imply VBN cord-221669-uokr4mjq 216 29 by by IN cord-221669-uokr4mjq 216 30 this this DT cord-221669-uokr4mjq 216 31 fit fit NN cord-221669-uokr4mjq 216 32 . . . cord-221669-uokr4mjq 217 1 The the DT cord-221669-uokr4mjq 217 2 fitted fit VBN cord-221669-uokr4mjq 217 3 value value NN cord-221669-uokr4mjq 217 4 of of IN cord-221669-uokr4mjq 217 5 the the DT cord-221669-uokr4mjq 217 6 Austrian austrian JJ cord-221669-uokr4mjq 217 7 " " `` cord-221669-uokr4mjq 217 8 social social JJ cord-221669-uokr4mjq 217 9 response response NN cord-221669-uokr4mjq 217 10 time time NN cord-221669-uokr4mjq 217 11 , , , cord-221669-uokr4mjq 217 12 " " '' cord-221669-uokr4mjq 217 13 τ τ NN cord-221669-uokr4mjq 217 14 ≈ ≈ NNP cord-221669-uokr4mjq 217 15 7.5 7.5 CD cord-221669-uokr4mjq 217 16 [ [ -LRB- cord-221669-uokr4mjq 217 17 days day NNS cord-221669-uokr4mjq 217 18 ] ] -RRB- cord-221669-uokr4mjq 217 19 , , , cord-221669-uokr4mjq 217 20 is be VBZ cord-221669-uokr4mjq 217 21 of of IN cord-221669-uokr4mjq 217 22 special special JJ cord-221669-uokr4mjq 217 23 note note NN cord-221669-uokr4mjq 217 24 . . . cord-221669-uokr4mjq 218 1 This this DT cord-221669-uokr4mjq 218 2 is be VBZ cord-221669-uokr4mjq 218 3 the the DT cord-221669-uokr4mjq 218 4 smallest small JJS cord-221669-uokr4mjq 218 5 value value NN cord-221669-uokr4mjq 218 6 ( ( -LRB- cord-221669-uokr4mjq 218 7 hence hence RB cord-221669-uokr4mjq 218 8 the the DT cord-221669-uokr4mjq 218 9 fastest fast JJS cord-221669-uokr4mjq 218 10 social social JJ cord-221669-uokr4mjq 218 11 response response NN cord-221669-uokr4mjq 218 12 ) ) -RRB- cord-221669-uokr4mjq 218 13 we -PRON- PRP cord-221669-uokr4mjq 218 14 have have VBP cord-221669-uokr4mjq 218 15 found find VBN cord-221669-uokr4mjq 218 16 in in IN cord-221669-uokr4mjq 218 17 our -PRON- PRP$ cord-221669-uokr4mjq 218 18 fits fit NNS cord-221669-uokr4mjq 218 19 to to IN cord-221669-uokr4mjq 218 20 the the DT cord-221669-uokr4mjq 218 21 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 218 22 pandemic pandemic NN cord-221669-uokr4mjq 218 23 numbers number NNS cord-221669-uokr4mjq 218 24 from from IN cord-221669-uokr4mjq 218 25 a a DT cord-221669-uokr4mjq 218 26 large large JJ cord-221669-uokr4mjq 218 27 set set NN cord-221669-uokr4mjq 218 28 of of IN cord-221669-uokr4mjq 218 29 15 15 CD cord-221669-uokr4mjq 218 30 representative representative JJ cord-221669-uokr4mjq 218 31 Central central JJ cord-221669-uokr4mjq 218 32 and and CC cord-221669-uokr4mjq 218 33 Western western JJ cord-221669-uokr4mjq 218 34 European european JJ cord-221669-uokr4mjq 218 35 countries country NNS cord-221669-uokr4mjq 218 36 ( ( -LRB- cord-221669-uokr4mjq 218 37 see see VB cord-221669-uokr4mjq 218 38 Table table NN cord-221669-uokr4mjq 218 39 I -PRON- PRP cord-221669-uokr4mjq 218 40 ) ) -RRB- cord-221669-uokr4mjq 218 41 . . . cord-221669-uokr4mjq 219 1 This this DT cord-221669-uokr4mjq 219 2 suggests suggest VBZ cord-221669-uokr4mjq 219 3 that that IN cord-221669-uokr4mjq 219 4 Austria Austria NNP cord-221669-uokr4mjq 219 5 deployed deploy VBD cord-221669-uokr4mjq 219 6 an an DT cord-221669-uokr4mjq 219 7 especially especially RB cord-221669-uokr4mjq 219 8 rapid rapid JJ cord-221669-uokr4mjq 219 9 and and CC cord-221669-uokr4mjq 219 10 effective effective JJ cord-221669-uokr4mjq 219 11 response response NN cord-221669-uokr4mjq 219 12 to to IN cord-221669-uokr4mjq 219 13 this this DT cord-221669-uokr4mjq 219 14 pandemic pandemic NN cord-221669-uokr4mjq 219 15 , , , cord-221669-uokr4mjq 219 16 which which WDT cord-221669-uokr4mjq 219 17 presumably presumably RB cord-221669-uokr4mjq 219 18 had have VBD cord-221669-uokr4mjq 219 19 a a DT cord-221669-uokr4mjq 219 20 strongly strongly RB cord-221669-uokr4mjq 219 21 limiting limit VBG cord-221669-uokr4mjq 219 22 effect effect NN cord-221669-uokr4mjq 219 23 on on IN cord-221669-uokr4mjq 219 24 the the DT cord-221669-uokr4mjq 219 25 total total JJ cord-221669-uokr4mjq 219 26 number number NN cord-221669-uokr4mjq 219 27 of of IN cord-221669-uokr4mjq 219 28 cases case NNS cord-221669-uokr4mjq 219 29 . . . cord-221669-uokr4mjq 220 1 A a DT cord-221669-uokr4mjq 220 2 minor minor JJ cord-221669-uokr4mjq 220 3 discrepancy discrepancy NN cord-221669-uokr4mjq 220 4 between between IN cord-221669-uokr4mjq 220 5 the the DT cord-221669-uokr4mjq 220 6 model model NN cord-221669-uokr4mjq 220 7 and and CC cord-221669-uokr4mjq 220 8 data data NN cord-221669-uokr4mjq 220 9 is be VBZ cord-221669-uokr4mjq 220 10 evident evident JJ cord-221669-uokr4mjq 220 11 at at IN cord-221669-uokr4mjq 220 12 the the DT cord-221669-uokr4mjq 220 13 early early JJ cord-221669-uokr4mjq 220 14 times time NNS cord-221669-uokr4mjq 220 15 in in IN cord-221669-uokr4mjq 220 16 Fig.7 fig.7 IN cord-221669-uokr4mjq 220 17 that that WDT cord-221669-uokr4mjq 220 18 are be VBP cord-221669-uokr4mjq 220 19 characterized characterize VBN cord-221669-uokr4mjq 220 20 by by IN cord-221669-uokr4mjq 220 21 small small JJ cord-221669-uokr4mjq 220 22 case case NN cord-221669-uokr4mjq 220 23 numbers number NNS cord-221669-uokr4mjq 220 24 . . . cord-221669-uokr4mjq 221 1 ( ( -LRB- cord-221669-uokr4mjq 221 2 See see VB cord-221669-uokr4mjq 221 3 times time NNS cord-221669-uokr4mjq 221 4 before before IN cord-221669-uokr4mjq 221 5 about about IN cord-221669-uokr4mjq 221 6 t t NN cord-221669-uokr4mjq 221 7 = = SYM cord-221669-uokr4mjq 221 8 −4 −4 NNP cord-221669-uokr4mjq 221 9 [ [ -LRB- cord-221669-uokr4mjq 221 10 days day NNS cord-221669-uokr4mjq 221 11 ] ] -RRB- cord-221669-uokr4mjq 221 12 in in IN cord-221669-uokr4mjq 221 13 the the DT cord-221669-uokr4mjq 221 14 figure figure NN cord-221669-uokr4mjq 221 15 . . . cord-221669-uokr4mjq 221 16 ) ) -RRB- cord-221669-uokr4mjq 222 1 The the DT cord-221669-uokr4mjq 222 2 number number NN cord-221669-uokr4mjq 222 3 of of IN cord-221669-uokr4mjq 222 4 early early JJ cord-221669-uokr4mjq 222 5 cases case NNS cord-221669-uokr4mjq 222 6 is be VBZ cord-221669-uokr4mjq 222 7 clearly clearly RB cord-221669-uokr4mjq 222 8 underpredicted underpredicte VBN cord-221669-uokr4mjq 222 9 by by IN cord-221669-uokr4mjq 222 10 the the DT cord-221669-uokr4mjq 222 11 fit fit NN cord-221669-uokr4mjq 222 12 . . . cord-221669-uokr4mjq 223 1 This this DT cord-221669-uokr4mjq 223 2 may may MD cord-221669-uokr4mjq 223 3 represent represent VB cord-221669-uokr4mjq 223 4 their -PRON- PRP$ cord-221669-uokr4mjq 223 5 growth growth NN cord-221669-uokr4mjq 223 6 from from IN cord-221669-uokr4mjq 223 7 a a DT cord-221669-uokr4mjq 223 8 small small JJ cord-221669-uokr4mjq 223 9 number number NN cord-221669-uokr4mjq 223 10 of of IN cord-221669-uokr4mjq 223 11 initial initial JJ cord-221669-uokr4mjq 223 12 cases case NNS cord-221669-uokr4mjq 223 13 , , , cord-221669-uokr4mjq 223 14 closely closely RB cord-221669-uokr4mjq 223 15 monitored monitor VBN cord-221669-uokr4mjq 223 16 and and CC cord-221669-uokr4mjq 223 17 hence hence RB cord-221669-uokr4mjq 223 18 developing develop VBG cord-221669-uokr4mjq 223 19 rather rather RB cord-221669-uokr4mjq 223 20 slowly slowly RB cord-221669-uokr4mjq 223 21 , , , cord-221669-uokr4mjq 223 22 which which WDT cord-221669-uokr4mjq 223 23 were be VBD cord-221669-uokr4mjq 223 24 evident evident JJ cord-221669-uokr4mjq 223 25 before before IN cord-221669-uokr4mjq 223 26 the the DT cord-221669-uokr4mjq 223 27 primary primary JJ cord-221669-uokr4mjq 223 28 pandemic pandemic NN cord-221669-uokr4mjq 223 29 contribution contribution NN cord-221669-uokr4mjq 223 30 became become VBD cord-221669-uokr4mjq 223 31 dominant dominant JJ cord-221669-uokr4mjq 223 32 . . . cord-221669-uokr4mjq 224 1 We -PRON- PRP cord-221669-uokr4mjq 224 2 will will MD cord-221669-uokr4mjq 224 3 note note VB cord-221669-uokr4mjq 224 4 a a DT cord-221669-uokr4mjq 224 5 similar similar JJ cord-221669-uokr4mjq 224 6 , , , cord-221669-uokr4mjq 224 7 more more RBR cord-221669-uokr4mjq 224 8 prominent prominent JJ cord-221669-uokr4mjq 224 9 effect effect NN cord-221669-uokr4mjq 224 10 in in IN cord-221669-uokr4mjq 224 11 the the DT cord-221669-uokr4mjq 224 12 early early JJ cord-221669-uokr4mjq 224 13 data datum NNS cord-221669-uokr4mjq 224 14 from from IN cord-221669-uokr4mjq 224 15 Denmark Denmark NNP cord-221669-uokr4mjq 224 16 and and CC cord-221669-uokr4mjq 224 17 Norway Norway NNP cord-221669-uokr4mjq 224 18 at at IN cord-221669-uokr4mjq 224 19 about about RB cord-221669-uokr4mjq 224 20 the the DT cord-221669-uokr4mjq 224 21 same same JJ cord-221669-uokr4mjq 224 22 date date NN cord-221669-uokr4mjq 224 23 . . . cord-221669-uokr4mjq 225 1 An an DT cord-221669-uokr4mjq 225 2 alternative alternative JJ cord-221669-uokr4mjq 225 3 approach approach NN cord-221669-uokr4mjq 225 4 would would MD cord-221669-uokr4mjq 225 5 be be VB cord-221669-uokr4mjq 225 6 to to TO cord-221669-uokr4mjq 225 7 fit fit VB cord-221669-uokr4mjq 225 8 the the DT cord-221669-uokr4mjq 225 9 cumulative cumulative JJ cord-221669-uokr4mjq 225 10 number number NN cord-221669-uokr4mjq 225 11 of of IN cord-221669-uokr4mjq 225 12 reported report VBN cord-221669-uokr4mjq 225 13 cases case NNS cord-221669-uokr4mjq 225 14 as as IN cord-221669-uokr4mjq 225 15 a a DT cord-221669-uokr4mjq 225 16 function function NN cord-221669-uokr4mjq 225 17 of of IN cord-221669-uokr4mjq 225 18 time time NN cord-221669-uokr4mjq 225 19 , , , cord-221669-uokr4mjq 225 20 which which WDT cord-221669-uokr4mjq 225 21 is be VBZ cord-221669-uokr4mjq 225 22 typically typically RB cord-221669-uokr4mjq 225 23 reported report VBN cord-221669-uokr4mjq 225 24 together together RB cord-221669-uokr4mjq 225 25 with with IN cord-221669-uokr4mjq 225 26 the the DT cord-221669-uokr4mjq 225 27 new new JJ cord-221669-uokr4mjq 225 28 cases case NNS cord-221669-uokr4mjq 225 29 per per IN cord-221669-uokr4mjq 225 30 day day NN cord-221669-uokr4mjq 225 31 . . . cord-221669-uokr4mjq 226 1 Since since IN cord-221669-uokr4mjq 226 2 one one CD cord-221669-uokr4mjq 226 3 is be VBZ cord-221669-uokr4mjq 226 4 the the DT cord-221669-uokr4mjq 226 5 derivative derivative NN cord-221669-uokr4mjq 226 6 of of IN cord-221669-uokr4mjq 226 7 the the DT cord-221669-uokr4mjq 226 8 other other JJ cord-221669-uokr4mjq 226 9 , , , cord-221669-uokr4mjq 226 10 these these DT cord-221669-uokr4mjq 226 11 should should MD cord-221669-uokr4mjq 226 12 give give VB cord-221669-uokr4mjq 226 13 similar similar JJ cord-221669-uokr4mjq 226 14 parameter parameter NN cord-221669-uokr4mjq 226 15 values value NNS cord-221669-uokr4mjq 226 16 . . . cord-221669-uokr4mjq 227 1 Of of RB cord-221669-uokr4mjq 227 2 course course RB cord-221669-uokr4mjq 227 3 the the DT cord-221669-uokr4mjq 227 4 results result NNS cord-221669-uokr4mjq 227 5 will will MD cord-221669-uokr4mjq 227 6 not not RB cord-221669-uokr4mjq 227 7 be be VB cord-221669-uokr4mjq 227 8 identical identical JJ cord-221669-uokr4mjq 227 9 , , , cord-221669-uokr4mjq 227 10 because because IN cord-221669-uokr4mjq 227 11 the the DT cord-221669-uokr4mjq 227 12 model model NN cord-221669-uokr4mjq 227 13 is be VBZ cord-221669-uokr4mjq 227 14 not not RB cord-221669-uokr4mjq 227 15 exact exact JJ cord-221669-uokr4mjq 227 16 , , , cord-221669-uokr4mjq 227 17 and and CC cord-221669-uokr4mjq 227 18 the the DT cord-221669-uokr4mjq 227 19 cumulative cumulative JJ cord-221669-uokr4mjq 227 20 cases case NNS cord-221669-uokr4mjq 227 21 data datum NNS cord-221669-uokr4mjq 227 22 will will MD cord-221669-uokr4mjq 227 23 give give VB cord-221669-uokr4mjq 227 24 higher high JJR cord-221669-uokr4mjq 227 25 fitting fitting JJ cord-221669-uokr4mjq 227 26 weight weight NN cord-221669-uokr4mjq 227 27 to to IN cord-221669-uokr4mjq 227 28 the the DT cord-221669-uokr4mjq 227 29 later later JJ cord-221669-uokr4mjq 227 30 stages stage NNS cord-221669-uokr4mjq 227 31 of of IN cord-221669-uokr4mjq 227 32 the the DT cord-221669-uokr4mjq 227 33 pandemic pandemic NN cord-221669-uokr4mjq 227 34 . . . cord-221669-uokr4mjq 228 1 The the DT cord-221669-uokr4mjq 228 2 choice choice NN cord-221669-uokr4mjq 228 3 of of IN cord-221669-uokr4mjq 228 4 which which WDT cord-221669-uokr4mjq 228 5 dataset dataset NN cord-221669-uokr4mjq 228 6 to to TO cord-221669-uokr4mjq 228 7 fit fit VB cord-221669-uokr4mjq 228 8 , , , cord-221669-uokr4mjq 228 9 cumulative cumulative JJ cord-221669-uokr4mjq 228 10 cases case NNS cord-221669-uokr4mjq 228 11 or or CC cord-221669-uokr4mjq 228 12 new new JJ cord-221669-uokr4mjq 228 13 cases case NNS cord-221669-uokr4mjq 228 14 per per IN cord-221669-uokr4mjq 228 15 day day NN cord-221669-uokr4mjq 228 16 , , , cord-221669-uokr4mjq 228 17 may may MD cord-221669-uokr4mjq 228 18 be be VB cord-221669-uokr4mjq 228 19 suggested suggest VBN cord-221669-uokr4mjq 228 20 by by IN cord-221669-uokr4mjq 228 21 the the DT cord-221669-uokr4mjq 228 22 subject subject NN cord-221669-uokr4mjq 228 23 of of IN cord-221669-uokr4mjq 228 24 greatest great JJS cord-221669-uokr4mjq 228 25 interest interest NN cord-221669-uokr4mjq 228 26 ; ; : cord-221669-uokr4mjq 228 27 the the DT cord-221669-uokr4mjq 228 28 peak peak NN cord-221669-uokr4mjq 228 29 of of IN cord-221669-uokr4mjq 228 30 the the DT cord-221669-uokr4mjq 228 31 pandemic pandemic NN cord-221669-uokr4mjq 228 32 is be VBZ cord-221669-uokr4mjq 228 33 best well RBS cord-221669-uokr4mjq 228 34 determined determine VBN cord-221669-uokr4mjq 228 35 by by IN cord-221669-uokr4mjq 228 36 fitting fit VBG cord-221669-uokr4mjq 228 37 the the DT cord-221669-uokr4mjq 228 38 new new JJ cord-221669-uokr4mjq 228 39 cases case NNS cord-221669-uokr4mjq 228 40 per per IN cord-221669-uokr4mjq 228 41 day day NN cord-221669-uokr4mjq 228 42 , , , cord-221669-uokr4mjq 228 43 but but CC cord-221669-uokr4mjq 228 44 the the DT cord-221669-uokr4mjq 228 45 final final JJ cord-221669-uokr4mjq 228 46 number number NN cord-221669-uokr4mjq 228 47 of of IN cord-221669-uokr4mjq 228 48 cases case NNS cord-221669-uokr4mjq 228 49 will will MD cord-221669-uokr4mjq 228 50 be be VB cord-221669-uokr4mjq 228 51 best well RBS cord-221669-uokr4mjq 228 52 determined determine VBN cord-221669-uokr4mjq 228 53 if if IN cord-221669-uokr4mjq 228 54 constrained constrain VBN cord-221669-uokr4mjq 228 55 by by IN cord-221669-uokr4mjq 228 56 the the DT cord-221669-uokr4mjq 228 57 large large JJ cord-221669-uokr4mjq 228 58 total total JJ cord-221669-uokr4mjq 228 59 case case NN cord-221669-uokr4mjq 228 60 numbers number NNS cord-221669-uokr4mjq 228 61 reported report VBN cord-221669-uokr4mjq 228 62 in in IN cord-221669-uokr4mjq 228 63 the the DT cord-221669-uokr4mjq 228 64 later later JJ cord-221669-uokr4mjq 228 65 stages stage NNS cord-221669-uokr4mjq 228 66 of of IN cord-221669-uokr4mjq 228 67 the the DT cord-221669-uokr4mjq 228 68 pandemic pandemic NN cord-221669-uokr4mjq 228 69 . . . cord-221669-uokr4mjq 229 1 Here here RB cord-221669-uokr4mjq 229 2 as as IN cord-221669-uokr4mjq 229 3 an an DT cord-221669-uokr4mjq 229 4 example example NN cord-221669-uokr4mjq 229 5 of of IN cord-221669-uokr4mjq 229 6 the the DT cord-221669-uokr4mjq 229 7 second second JJ cord-221669-uokr4mjq 229 8 fit fit NN cord-221669-uokr4mjq 229 9 we -PRON- PRP cord-221669-uokr4mjq 229 10 give give VBP cord-221669-uokr4mjq 229 11 the the DT cord-221669-uokr4mjq 229 12 SHIR SHIR NNP cord-221669-uokr4mjq 229 13 model model NN cord-221669-uokr4mjq 229 14 results result NNS cord-221669-uokr4mjq 229 15 that that WDT cord-221669-uokr4mjq 229 16 follow follow VBP cord-221669-uokr4mjq 229 17 from from IN cord-221669-uokr4mjq 229 18 fitting fit VBG cord-221669-uokr4mjq 229 19 the the DT cord-221669-uokr4mjq 229 20 cumulative cumulative JJ cord-221669-uokr4mjq 229 21 case case NN cord-221669-uokr4mjq 229 22 numbers number NNS cord-221669-uokr4mjq 229 23 from from IN cord-221669-uokr4mjq 229 24 Austria Austria NNP cord-221669-uokr4mjq 229 25 . . . cord-221669-uokr4mjq 230 1 We -PRON- PRP cord-221669-uokr4mjq 230 2 again again RB cord-221669-uokr4mjq 230 3 use use VBP cord-221669-uokr4mjq 230 4 a a DT cord-221669-uokr4mjq 230 5 set set NN cord-221669-uokr4mjq 230 6 of of IN cord-221669-uokr4mjq 230 7 82 82 CD cord-221669-uokr4mjq 230 8 points point NNS cord-221669-uokr4mjq 230 9 of of IN cord-221669-uokr4mjq 230 10 Austrian austrian JJ cord-221669-uokr4mjq 230 11 data datum NNS cord-221669-uokr4mjq 230 12 [ [ -LRB- cord-221669-uokr4mjq 230 13 7 7 CD cord-221669-uokr4mjq 230 14 ] ] -RRB- cord-221669-uokr4mjq 230 15 from from IN cord-221669-uokr4mjq 230 16 the the DT cord-221669-uokr4mjq 230 17 initial initial JJ cord-221669-uokr4mjq 230 18 reporting reporting NN cord-221669-uokr4mjq 230 19 date date NN cord-221669-uokr4mjq 230 20 of of IN cord-221669-uokr4mjq 230 21 15 15 CD cord-221669-uokr4mjq 230 22 Feb Feb NNP cord-221669-uokr4mjq 230 23 2020 2020 CD cord-221669-uokr4mjq 230 24 through through IN cord-221669-uokr4mjq 230 25 the the DT cord-221669-uokr4mjq 230 26 fitting fitting JJ cord-221669-uokr4mjq 230 27 date date NN cord-221669-uokr4mjq 230 28 , , , cord-221669-uokr4mjq 230 29 06 06 CD cord-221669-uokr4mjq 230 30 May May NNP cord-221669-uokr4mjq 230 31 2020 2020 CD cord-221669-uokr4mjq 230 32 . . . cord-221669-uokr4mjq 231 1 The the DT cord-221669-uokr4mjq 231 2 SHIR SHIR NNP cord-221669-uokr4mjq 231 3 model model NN cord-221669-uokr4mjq 231 4 fit fit JJ cord-221669-uokr4mjq 231 5 to to IN cord-221669-uokr4mjq 231 6 the the DT cord-221669-uokr4mjq 231 7 Austrian austrian JJ cord-221669-uokr4mjq 231 8 cumulative cumulative JJ cord-221669-uokr4mjq 231 9 cases case NNS cord-221669-uokr4mjq 231 10 data datum NNS cord-221669-uokr4mjq 231 11 is be VBZ cord-221669-uokr4mjq 231 12 shown show VBN cord-221669-uokr4mjq 231 13 in in IN cord-221669-uokr4mjq 232 1 Fig.8 Fig.8 NNP cord-221669-uokr4mjq 232 2 Evidently evidently RB cord-221669-uokr4mjq 232 3 the the DT cord-221669-uokr4mjq 232 4 SHIR SHIR NNP cord-221669-uokr4mjq 232 5 model model NN cord-221669-uokr4mjq 232 6 also also RB cord-221669-uokr4mjq 232 7 provides provide VBZ cord-221669-uokr4mjq 232 8 a a DT cord-221669-uokr4mjq 232 9 reasonably reasonably RB cord-221669-uokr4mjq 232 10 accurate accurate JJ cord-221669-uokr4mjq 232 11 description description NN cord-221669-uokr4mjq 232 12 of of IN cord-221669-uokr4mjq 232 13 the the DT cord-221669-uokr4mjq 232 14 cumulative cumulative JJ cord-221669-uokr4mjq 232 15 cases case NNS cord-221669-uokr4mjq 232 16 for for IN cord-221669-uokr4mjq 232 17 Austria Austria NNP cord-221669-uokr4mjq 232 18 . . . cord-221669-uokr4mjq 233 1 The the DT cord-221669-uokr4mjq 233 2 parameter parameter NN cord-221669-uokr4mjq 233 3 values value NNS cord-221669-uokr4mjq 233 4 resulting result VBG cord-221669-uokr4mjq 233 5 from from IN cord-221669-uokr4mjq 233 6 the the DT cord-221669-uokr4mjq 233 7 two two CD cord-221669-uokr4mjq 233 8 fits fit NNS cord-221669-uokr4mjq 233 9 , , , cord-221669-uokr4mjq 233 10 to to IN cord-221669-uokr4mjq 233 11 cpd cpd NNP cord-221669-uokr4mjq 233 12 data data NNP cord-221669-uokr4mjq 233 13 ( ( -LRB- cord-221669-uokr4mjq 233 14 44 44 CD cord-221669-uokr4mjq 233 15 ) ) -RRB- cord-221669-uokr4mjq 233 16 and and CC cord-221669-uokr4mjq 233 17 cumulative cumulative JJ cord-221669-uokr4mjq 233 18 cases case NNS cord-221669-uokr4mjq 233 19 data datum NNS cord-221669-uokr4mjq 233 20 ( ( -LRB- cord-221669-uokr4mjq 233 21 45 45 CD cord-221669-uokr4mjq 233 22 ) ) -RRB- cord-221669-uokr4mjq 233 23 , , , cord-221669-uokr4mjq 233 24 are be VBP cord-221669-uokr4mjq 233 25 quite quite RB cord-221669-uokr4mjq 233 26 similar similar JJ cord-221669-uokr4mjq 233 27 [ [ -LRB- cord-221669-uokr4mjq 233 28 12 12 CD cord-221669-uokr4mjq 233 29 ] ] -RRB- cord-221669-uokr4mjq 233 30 . . . cord-221669-uokr4mjq 234 1 The the DT cord-221669-uokr4mjq 234 2 total total JJ cord-221669-uokr4mjq 234 3 case case NN cord-221669-uokr4mjq 234 4 numbers number NNS cord-221669-uokr4mjq 234 5 P p NN cord-221669-uokr4mjq 234 6 max max NN cord-221669-uokr4mjq 234 7 differ differ VBP cord-221669-uokr4mjq 234 8 from from IN cord-221669-uokr4mjq 234 9 their -PRON- PRP$ cord-221669-uokr4mjq 234 10 mean mean NN cord-221669-uokr4mjq 234 11 by by IN cord-221669-uokr4mjq 234 12 ±2 ±2 NNP cord-221669-uokr4mjq 234 13 % % NN cord-221669-uokr4mjq 234 14 , , , cord-221669-uokr4mjq 234 15 the the DT cord-221669-uokr4mjq 234 16 fitted fit VBN cord-221669-uokr4mjq 234 17 social social JJ cord-221669-uokr4mjq 234 18 response response NN cord-221669-uokr4mjq 234 19 times time NNS cord-221669-uokr4mjq 235 1 τ τ NN cord-221669-uokr4mjq 236 1 Next next RB cord-221669-uokr4mjq 236 2 we -PRON- PRP cord-221669-uokr4mjq 236 3 will will MD cord-221669-uokr4mjq 236 4 follow follow VB cord-221669-uokr4mjq 236 5 the the DT cord-221669-uokr4mjq 236 6 same same JJ cord-221669-uokr4mjq 236 7 procedure procedure NN cord-221669-uokr4mjq 236 8 described describe VBN cord-221669-uokr4mjq 236 9 in in IN cord-221669-uokr4mjq 236 10 the the DT cord-221669-uokr4mjq 236 11 first first JJ cord-221669-uokr4mjq 236 12 Austrian austrian JJ cord-221669-uokr4mjq 236 13 fit fit NN cord-221669-uokr4mjq 236 14 above above RB cord-221669-uokr4mjq 236 15 , , , cord-221669-uokr4mjq 236 16 and and CC cord-221669-uokr4mjq 236 17 will will MD cord-221669-uokr4mjq 236 18 fit fit VB cord-221669-uokr4mjq 236 19 the the DT cord-221669-uokr4mjq 236 20 SHIR SHIR NNP cord-221669-uokr4mjq 236 21 model model NN cord-221669-uokr4mjq 236 22 to to IN cord-221669-uokr4mjq 236 23 the the DT cord-221669-uokr4mjq 236 24 cpd cpd NNP cord-221669-uokr4mjq 236 25 data datum NNS cord-221669-uokr4mjq 236 26 for for IN cord-221669-uokr4mjq 236 27 each each DT cord-221669-uokr4mjq 236 28 of of IN cord-221669-uokr4mjq 236 29 a a DT cord-221669-uokr4mjq 236 30 representative representative JJ cord-221669-uokr4mjq 236 31 set set NN cord-221669-uokr4mjq 236 32 of of IN cord-221669-uokr4mjq 236 33 Central central JJ cord-221669-uokr4mjq 236 34 and and CC cord-221669-uokr4mjq 236 35 Western western JJ cord-221669-uokr4mjq 236 36 European european JJ cord-221669-uokr4mjq 236 37 countries country NNS cord-221669-uokr4mjq 236 38 . . . cord-221669-uokr4mjq 237 1 For for IN cord-221669-uokr4mjq 237 2 each each DT cord-221669-uokr4mjq 237 3 fit fit NN cord-221669-uokr4mjq 237 4 , , , cord-221669-uokr4mjq 237 5 as as IN cord-221669-uokr4mjq 237 6 discussed discuss VBN cord-221669-uokr4mjq 237 7 for for IN cord-221669-uokr4mjq 237 8 Austria Austria NNP cord-221669-uokr4mjq 237 9 , , , cord-221669-uokr4mjq 237 10 we -PRON- PRP cord-221669-uokr4mjq 237 11 have have VBP cord-221669-uokr4mjq 237 12 again again RB cord-221669-uokr4mjq 237 13 used use VBN cord-221669-uokr4mjq 237 14 82 82 CD cord-221669-uokr4mjq 237 15 pts pt NNS cord-221669-uokr4mjq 237 16 of of IN cord-221669-uokr4mjq 237 17 daily daily JJ cord-221669-uokr4mjq 237 18 new new JJ cord-221669-uokr4mjq 237 19 case case NN cord-221669-uokr4mjq 237 20 numbers number NNS cord-221669-uokr4mjq 237 21 per per IN cord-221669-uokr4mjq 237 22 day day NN cord-221669-uokr4mjq 237 23 [ [ -LRB- cord-221669-uokr4mjq 237 24 7 7 CD cord-221669-uokr4mjq 237 25 ] ] -RRB- cord-221669-uokr4mjq 237 26 for for IN cord-221669-uokr4mjq 237 27 the the DT cord-221669-uokr4mjq 237 28 period period NN cord-221669-uokr4mjq 237 29 15 15 CD cord-221669-uokr4mjq 238 1 Feb Feb NNP cord-221669-uokr4mjq 238 2 -06 -06 WDT cord-221669-uokr4mjq 238 3 May May NNP cord-221669-uokr4mjq 238 4 2020 2020 CD cord-221669-uokr4mjq 238 5 as as IN cord-221669-uokr4mjq 238 6 the the DT cord-221669-uokr4mjq 238 7 only only JJ cord-221669-uokr4mjq 238 8 input input NN cord-221669-uokr4mjq 238 9 data datum NNS cord-221669-uokr4mjq 238 10 . . . cord-221669-uokr4mjq 239 1 This this DT cord-221669-uokr4mjq 239 2 data data NN cord-221669-uokr4mjq 239 3 fitted fit VBN cord-221669-uokr4mjq 239 4 to to IN cord-221669-uokr4mjq 239 5 the the DT cord-221669-uokr4mjq 239 6 threeparameter threeparameter NNP cord-221669-uokr4mjq 239 7 SHIR SHIR NNP cord-221669-uokr4mjq 239 8 model model NN cord-221669-uokr4mjq 239 9 form form NN cord-221669-uokr4mjq 239 10 for for IN cord-221669-uokr4mjq 239 11 dP(t)/dt dP(t)/dt NNP cord-221669-uokr4mjq 239 12 , , , cord-221669-uokr4mjq 239 13 ( ( -LRB- cord-221669-uokr4mjq 239 14 37 37 CD cord-221669-uokr4mjq 239 15 ) ) -RRB- cord-221669-uokr4mjq 239 16 . . . cord-221669-uokr4mjq 240 1 This this DT cord-221669-uokr4mjq 240 2 fixes fix VBZ cord-221669-uokr4mjq 240 3 the the DT cord-221669-uokr4mjq 240 4 three three CD cord-221669-uokr4mjq 240 5 model model NN cord-221669-uokr4mjq 240 6 parameters parameter NNS cord-221669-uokr4mjq 240 7 P p NN cord-221669-uokr4mjq 240 8 max max NN cord-221669-uokr4mjq 240 9 ( ( -LRB- cord-221669-uokr4mjq 240 10 with with IN cord-221669-uokr4mjq 240 11 units unit NNS cord-221669-uokr4mjq 240 12 of of IN cord-221669-uokr4mjq 240 13 [ [ -LRB- cord-221669-uokr4mjq 240 14 cases case NNS cord-221669-uokr4mjq 240 15 ] ] -RRB- cord-221669-uokr4mjq 240 16 ) ) -RRB- cord-221669-uokr4mjq 240 17 , , , cord-221669-uokr4mjq 240 18 τ τ NN cord-221669-uokr4mjq 240 19 [ [ -LRB- cord-221669-uokr4mjq 240 20 days day NNS cord-221669-uokr4mjq 240 21 ] ] -RRB- cord-221669-uokr4mjq 240 22 , , , cord-221669-uokr4mjq 240 23 and and CC cord-221669-uokr4mjq 240 24 the the DT cord-221669-uokr4mjq 240 25 inflection inflection NN cord-221669-uokr4mjq 240 26 point point NN cord-221669-uokr4mjq 241 1 t t NNP cord-221669-uokr4mjq 241 2 inf inf NNP cord-221669-uokr4mjq 241 3 l l NN cord-221669-uokr4mjq 241 4 = = SYM cord-221669-uokr4mjq 241 5 t t NN cord-221669-uokr4mjq 241 6 0 0 CD cord-221669-uokr4mjq 241 7 [ [ -LRB- cord-221669-uokr4mjq 241 8 days day NNS cord-221669-uokr4mjq 241 9 ] ] -RRB- cord-221669-uokr4mjq 241 10 ( ( -LRB- cord-221669-uokr4mjq 241 11 measured measure VBN cord-221669-uokr4mjq 241 12 from from IN cord-221669-uokr4mjq 241 13 t t NN cord-221669-uokr4mjq 241 14 = = SYM cord-221669-uokr4mjq 241 15 0 0 CD cord-221669-uokr4mjq 241 16 on on IN cord-221669-uokr4mjq 241 17 18 18 CD cord-221669-uokr4mjq 241 18 Mar Mar NNP cord-221669-uokr4mjq 241 19 2020 2020 CD cord-221669-uokr4mjq 241 20 ) ) -RRB- cord-221669-uokr4mjq 241 21 separately separately RB cord-221669-uokr4mjq 241 22 for for IN cord-221669-uokr4mjq 241 23 each each DT cord-221669-uokr4mjq 241 24 country country NN cord-221669-uokr4mjq 241 25 . . . cord-221669-uokr4mjq 242 1 The the DT cord-221669-uokr4mjq 242 2 fitted fit VBN cord-221669-uokr4mjq 242 3 parameter parameter NN cord-221669-uokr4mjq 242 4 values value NNS cord-221669-uokr4mjq 242 5 for for IN cord-221669-uokr4mjq 242 6 the the DT cord-221669-uokr4mjq 242 7 entire entire JJ cord-221669-uokr4mjq 242 8 set set NN cord-221669-uokr4mjq 242 9 of of IN cord-221669-uokr4mjq 242 10 15 15 CD cord-221669-uokr4mjq 242 11 Central central JJ cord-221669-uokr4mjq 242 12 and and CC cord-221669-uokr4mjq 242 13 Western western JJ cord-221669-uokr4mjq 242 14 European european JJ cord-221669-uokr4mjq 242 15 countries country NNS cord-221669-uokr4mjq 242 16 considered consider VBN cord-221669-uokr4mjq 242 17 here here RB cord-221669-uokr4mjq 242 18 are be VBP cord-221669-uokr4mjq 242 19 given give VBN cord-221669-uokr4mjq 242 20 in in IN cord-221669-uokr4mjq 242 21 Table Table NNP cord-221669-uokr4mjq 242 22 . . . cord-221669-uokr4mjq 243 1 I -PRON- PRP cord-221669-uokr4mjq 243 2 , , , cord-221669-uokr4mjq 243 3 together together RB cord-221669-uokr4mjq 243 4 with with IN cord-221669-uokr4mjq 243 5 the the DT cord-221669-uokr4mjq 243 6 calendar calendar NN cord-221669-uokr4mjq 243 7 date date NN cord-221669-uokr4mjq 243 8 of of IN cord-221669-uokr4mjq 243 9 the the DT cord-221669-uokr4mjq 243 10 inflection inflection NN cord-221669-uokr4mjq 243 11 point point NN cord-221669-uokr4mjq 243 12 t t NNP cord-221669-uokr4mjq 243 13 0 0 CD cord-221669-uokr4mjq 243 14 , , , cord-221669-uokr4mjq 243 15 and and CC cord-221669-uokr4mjq 243 16 the the DT cord-221669-uokr4mjq 243 17 fitted fit VBN cord-221669-uokr4mjq 243 18 peak peak NN cord-221669-uokr4mjq 243 19 number number NN cord-221669-uokr4mjq 243 20 of of IN cord-221669-uokr4mjq 243 21 new new JJ cord-221669-uokr4mjq 243 22 cases case NNS cord-221669-uokr4mjq 243 23 per per IN cord-221669-uokr4mjq 243 24 day day NN cord-221669-uokr4mjq 243 25 , , , cord-221669-uokr4mjq 243 26 which which WDT cord-221669-uokr4mjq 243 27 occurs occur VBZ cord-221669-uokr4mjq 243 28 at at IN cord-221669-uokr4mjq 243 29 t t NN cord-221669-uokr4mjq 243 30 0 0 CD cord-221669-uokr4mjq 243 31 . . . cord-221669-uokr4mjq 244 1 Perhaps perhaps RB cord-221669-uokr4mjq 244 2 the the DT cord-221669-uokr4mjq 244 3 most most RBS cord-221669-uokr4mjq 244 4 remarkable remarkable JJ cord-221669-uokr4mjq 244 5 aspect aspect NN cord-221669-uokr4mjq 244 6 of of IN cord-221669-uokr4mjq 244 7 the the DT cord-221669-uokr4mjq 244 8 SHIR SHIR NNP cord-221669-uokr4mjq 244 9 model model NN cord-221669-uokr4mjq 244 10 fits fit VBZ cord-221669-uokr4mjq 244 11 to to IN cord-221669-uokr4mjq 244 12 15 15 CD cord-221669-uokr4mjq 244 13 Central central JJ cord-221669-uokr4mjq 244 14 and and CC cord-221669-uokr4mjq 244 15 Western western JJ cord-221669-uokr4mjq 244 16 European european JJ cord-221669-uokr4mjq 244 17 countries country NNS cord-221669-uokr4mjq 244 18 in in IN cord-221669-uokr4mjq 244 19 Table Table NNP cord-221669-uokr4mjq 244 20 . . . cord-221669-uokr4mjq 245 1 I -PRON- PRP cord-221669-uokr4mjq 245 2 is be VBZ cord-221669-uokr4mjq 245 3 the the DT cord-221669-uokr4mjq 245 4 wide wide JJ cord-221669-uokr4mjq 245 5 range range NN cord-221669-uokr4mjq 245 6 of of IN cord-221669-uokr4mjq 245 7 values value NNS cord-221669-uokr4mjq 245 8 found find VBN cord-221669-uokr4mjq 245 9 for for IN cord-221669-uokr4mjq 245 10 the the DT cord-221669-uokr4mjq 245 11 " " `` cord-221669-uokr4mjq 245 12 social social JJ cord-221669-uokr4mjq 245 13 response response NN cord-221669-uokr4mjq 245 14 time time NN cord-221669-uokr4mjq 245 15 " " '' cord-221669-uokr4mjq 245 16 τ τ NN cord-221669-uokr4mjq 245 17 , , , cord-221669-uokr4mjq 245 18 and and CC cord-221669-uokr4mjq 245 19 how how WRB cord-221669-uokr4mjq 245 20 it -PRON- PRP cord-221669-uokr4mjq 245 21 appears appear VBZ cord-221669-uokr4mjq 245 22 to to TO cord-221669-uokr4mjq 245 23 correlate correlate VB cord-221669-uokr4mjq 245 24 with with IN cord-221669-uokr4mjq 245 25 national national JJ cord-221669-uokr4mjq 245 26 coronavirus coronavirus NN cord-221669-uokr4mjq 245 27 policy policy NN cord-221669-uokr4mjq 245 28 . . . cord-221669-uokr4mjq 246 1 As as IN cord-221669-uokr4mjq 246 2 τ τ NN cord-221669-uokr4mjq 246 3 sets set VBZ cord-221669-uokr4mjq 246 4 the the DT cord-221669-uokr4mjq 246 5 width width NN cord-221669-uokr4mjq 246 6 of of IN cord-221669-uokr4mjq 246 7 the the DT cord-221669-uokr4mjq 246 8 pandemic pandemic NN cord-221669-uokr4mjq 246 9 peak peak NN cord-221669-uokr4mjq 246 10 , , , cord-221669-uokr4mjq 246 11 it -PRON- PRP cord-221669-uokr4mjq 246 12 is be VBZ cord-221669-uokr4mjq 246 13 a a DT cord-221669-uokr4mjq 246 14 measure measure NN cord-221669-uokr4mjq 246 15 of of IN cord-221669-uokr4mjq 246 16 how how WRB cord-221669-uokr4mjq 246 17 long long JJ cord-221669-uokr4mjq 246 18 a a DT cord-221669-uokr4mjq 246 19 country country NN cord-221669-uokr4mjq 246 20 will will MD cord-221669-uokr4mjq 246 21 have have VB cord-221669-uokr4mjq 246 22 to to TO cord-221669-uokr4mjq 246 23 endure endure VB cord-221669-uokr4mjq 246 24 the the DT cord-221669-uokr4mjq 246 25 pandemic pandemic NN cord-221669-uokr4mjq 246 26 . . . cord-221669-uokr4mjq 247 1 ( ( -LRB- cord-221669-uokr4mjq 247 2 Recall Recall NNP cord-221669-uokr4mjq 247 3 for for IN cord-221669-uokr4mjq 247 4 example example NN cord-221669-uokr4mjq 247 5 that that IN cord-221669-uokr4mjq 247 6 the the DT cord-221669-uokr4mjq 247 7 FWHM FWHM NNP cord-221669-uokr4mjq 247 8 of of IN cord-221669-uokr4mjq 247 9 the the DT cord-221669-uokr4mjq 247 10 new new JJ cord-221669-uokr4mjq 247 11 cases case NNS cord-221669-uokr4mjq 247 12 per per IN cord-221669-uokr4mjq 247 13 day day NN cord-221669-uokr4mjq 247 14 , , , cord-221669-uokr4mjq 247 15 dP dP NNP cord-221669-uokr4mjq 247 16 / / SYM cord-221669-uokr4mjq 247 17 dt dt NNP cord-221669-uokr4mjq 247 18 , , , cord-221669-uokr4mjq 247 19 is be VBZ cord-221669-uokr4mjq 247 20 about about IN cord-221669-uokr4mjq 247 21 2.4·τ 2.4·τ CD cord-221669-uokr4mjq 247 22 . . . cord-221669-uokr4mjq 247 23 ) ) -RRB- cord-221669-uokr4mjq 248 1 The the DT cord-221669-uokr4mjq 248 2 extreme extreme JJ cord-221669-uokr4mjq 248 3 cases case NNS cord-221669-uokr4mjq 248 4 are be VBP cord-221669-uokr4mjq 248 5 Austria Austria NNP cord-221669-uokr4mjq 248 6 ( ( -LRB- cord-221669-uokr4mjq 248 7 τ τ NN cord-221669-uokr4mjq 248 8 ≈ ≈ NNP cord-221669-uokr4mjq 248 9 7.5 7.5 CD cord-221669-uokr4mjq 248 10 days day NNS cord-221669-uokr4mjq 248 11 ) ) -RRB- cord-221669-uokr4mjq 248 12 and and CC cord-221669-uokr4mjq 248 13 Sweden Sweden NNP cord-221669-uokr4mjq 248 14 ( ( -LRB- cord-221669-uokr4mjq 248 15 τ τ NN cord-221669-uokr4mjq 248 16 ≈ ≈ NNP cord-221669-uokr4mjq 248 17 26 26 CD cord-221669-uokr4mjq 248 18 days day NNS cord-221669-uokr4mjq 248 19 ) ) -RRB- cord-221669-uokr4mjq 248 20 , , , cord-221669-uokr4mjq 248 21 over over IN cord-221669-uokr4mjq 248 22 3 3 CD cord-221669-uokr4mjq 248 23 times time NNS cord-221669-uokr4mjq 248 24 longer long RBR cord-221669-uokr4mjq 248 25 than than IN cord-221669-uokr4mjq 248 26 Austria Austria NNP cord-221669-uokr4mjq 248 27 . . . cord-221669-uokr4mjq 249 1 The the DT cord-221669-uokr4mjq 249 2 Swedish swedish JJ cord-221669-uokr4mjq 249 3 cpd cpd NNP cord-221669-uokr4mjq 249 4 data datum NNS cord-221669-uokr4mjq 249 5 and and CC cord-221669-uokr4mjq 249 6 fit fit JJ cord-221669-uokr4mjq 249 7 are be VBP cord-221669-uokr4mjq 249 8 shown show VBN cord-221669-uokr4mjq 249 9 in in IN cord-221669-uokr4mjq 249 10 Fig.9 Fig.9 NNP cord-221669-uokr4mjq 249 11 . . . cord-221669-uokr4mjq 250 1 The the DT cord-221669-uokr4mjq 250 2 very very RB cord-221669-uokr4mjq 250 3 slow slow JJ cord-221669-uokr4mjq 250 4 Swedish swedish JJ cord-221669-uokr4mjq 250 5 response response NN cord-221669-uokr4mjq 250 6 time time NN cord-221669-uokr4mjq 250 7 is be VBZ cord-221669-uokr4mjq 250 8 apparently apparently RB cord-221669-uokr4mjq 250 9 the the DT cord-221669-uokr4mjq 250 10 result result NN cord-221669-uokr4mjq 250 11 of of IN cord-221669-uokr4mjq 250 12 a a DT cord-221669-uokr4mjq 250 13 rather rather RB cord-221669-uokr4mjq 250 14 controversial controversial JJ cord-221669-uokr4mjq 250 15 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 250 16 policy policy NN cord-221669-uokr4mjq 250 17 pro- pro- NN cord-221669-uokr4mjq 250 18 moted mote VBN cord-221669-uokr4mjq 250 19 by by IN cord-221669-uokr4mjq 250 20 the the DT cord-221669-uokr4mjq 250 21 Swedish Swedish NNP cord-221669-uokr4mjq 250 22 State State NNP cord-221669-uokr4mjq 250 23 Epidemiologist Epidemiologist NNP cord-221669-uokr4mjq 250 24 , , , cord-221669-uokr4mjq 250 25 A. A. NNP cord-221669-uokr4mjq 250 26 Tegnell Tegnell NNP cord-221669-uokr4mjq 250 27 [ [ -LRB- cord-221669-uokr4mjq 250 28 13 13 CD cord-221669-uokr4mjq 250 29 ] ] -RRB- cord-221669-uokr4mjq 250 30 , , , cord-221669-uokr4mjq 250 31 which which WDT cord-221669-uokr4mjq 250 32 did do VBD cord-221669-uokr4mjq 250 33 not not RB cord-221669-uokr4mjq 250 34 impose impose VB cord-221669-uokr4mjq 250 35 the the DT cord-221669-uokr4mjq 250 36 strict strict JJ cord-221669-uokr4mjq 250 37 school school NN cord-221669-uokr4mjq 250 38 closings closing NNS cord-221669-uokr4mjq 250 39 , , , cord-221669-uokr4mjq 250 40 border border NN cord-221669-uokr4mjq 250 41 controls control NNS cord-221669-uokr4mjq 250 42 , , , cord-221669-uokr4mjq 250 43 and and CC cord-221669-uokr4mjq 250 44 restrictions restriction NNS cord-221669-uokr4mjq 250 45 on on IN cord-221669-uokr4mjq 250 46 large large JJ cord-221669-uokr4mjq 250 47 gatherings gathering NNS cord-221669-uokr4mjq 250 48 that that WDT cord-221669-uokr4mjq 250 49 characterized characterize VBD cord-221669-uokr4mjq 250 50 the the DT cord-221669-uokr4mjq 250 51 policies policy NNS cord-221669-uokr4mjq 250 52 of of IN cord-221669-uokr4mjq 250 53 other other JJ cord-221669-uokr4mjq 250 54 Scandinavian scandinavian JJ cord-221669-uokr4mjq 250 55 countries country NNS cord-221669-uokr4mjq 250 56 . . . cord-221669-uokr4mjq 251 1 Tegnell Tegnell NNP cord-221669-uokr4mjq 251 2 instead instead RB cord-221669-uokr4mjq 251 3 advocated advocate VBD cord-221669-uokr4mjq 251 4 a a DT cord-221669-uokr4mjq 251 5 more more RBR cord-221669-uokr4mjq 251 6 open open JJ cord-221669-uokr4mjq 251 7 society society NN cord-221669-uokr4mjq 251 8 during during IN cord-221669-uokr4mjq 251 9 the the DT cord-221669-uokr4mjq 251 10 pandemic pandemic NN cord-221669-uokr4mjq 251 11 , , , cord-221669-uokr4mjq 251 12 to to TO cord-221669-uokr4mjq 251 13 promote promote VB cord-221669-uokr4mjq 251 14 herd herd NN cord-221669-uokr4mjq 251 15 immunity immunity NN cord-221669-uokr4mjq 251 16 and and CC cord-221669-uokr4mjq 251 17 a a DT cord-221669-uokr4mjq 251 18 quick quick JJ cord-221669-uokr4mjq 251 19 economic economic JJ cord-221669-uokr4mjq 251 20 recovery recovery NN cord-221669-uokr4mjq 251 21 . . . cord-221669-uokr4mjq 252 1 Although although IN cord-221669-uokr4mjq 252 2 the the DT cord-221669-uokr4mjq 252 3 Swedish swedish JJ cord-221669-uokr4mjq 252 4 policy policy NN cord-221669-uokr4mjq 252 5 was be VBD cord-221669-uokr4mjq 252 6 evidently evidently RB cord-221669-uokr4mjq 252 7 successful successful JJ cord-221669-uokr4mjq 252 8 in in IN cord-221669-uokr4mjq 252 9 broadening broaden VBG cord-221669-uokr4mjq 252 10 the the DT cord-221669-uokr4mjq 252 11 curve curve NN cord-221669-uokr4mjq 252 12 , , , cord-221669-uokr4mjq 252 13 their -PRON- PRP$ cord-221669-uokr4mjq 252 14 per per IN cord-221669-uokr4mjq 252 15 capita capita NN cord-221669-uokr4mjq 252 16 number number NN cord-221669-uokr4mjq 252 17 of of IN cord-221669-uokr4mjq 252 18 cases case NNS cord-221669-uokr4mjq 252 19 is be VBZ cord-221669-uokr4mjq 252 20 over over RB cord-221669-uokr4mjq 252 21 twice twice PDT cord-221669-uokr4mjq 252 22 that that DT cord-221669-uokr4mjq 252 23 of of IN cord-221669-uokr4mjq 252 24 Denmark Denmark NNP cord-221669-uokr4mjq 252 25 and and CC cord-221669-uokr4mjq 253 1 Nor nor CC cord-221669-uokr4mjq 253 2 - - HYPH cord-221669-uokr4mjq 253 3 way way NN cord-221669-uokr4mjq 253 4 , , , cord-221669-uokr4mjq 253 5 and and CC cord-221669-uokr4mjq 253 6 the the DT cord-221669-uokr4mjq 253 7 Swedish swedish JJ cord-221669-uokr4mjq 253 8 fatalities fatality NNS cord-221669-uokr4mjq 253 9 per per IN cord-221669-uokr4mjq 253 10 capita caput NNS cord-221669-uokr4mjq 253 11 are be VBP cord-221669-uokr4mjq 253 12 larger large JJR cord-221669-uokr4mjq 253 13 by by IN cord-221669-uokr4mjq 253 14 a a DT cord-221669-uokr4mjq 253 15 similar similar JJ cord-221669-uokr4mjq 253 16 amount amount NN cord-221669-uokr4mjq 253 17 . . . cord-221669-uokr4mjq 254 1 This this DT cord-221669-uokr4mjq 254 2 argues argue VBZ cord-221669-uokr4mjq 254 3 that that IN cord-221669-uokr4mjq 254 4 an an DT cord-221669-uokr4mjq 254 5 aggressive aggressive JJ cord-221669-uokr4mjq 254 6 national national JJ cord-221669-uokr4mjq 254 7 policy policy NN cord-221669-uokr4mjq 254 8 of of IN cord-221669-uokr4mjq 254 9 minimizing minimize VBG cord-221669-uokr4mjq 254 10 the the DT cord-221669-uokr4mjq 254 11 social social JJ cord-221669-uokr4mjq 254 12 response response NN cord-221669-uokr4mjq 254 13 time time NN cord-221669-uokr4mjq 254 14 τ τ NN cord-221669-uokr4mjq 254 15 , , , cord-221669-uokr4mjq 254 16 for for IN cord-221669-uokr4mjq 254 17 example example NN cord-221669-uokr4mjq 254 18 through through IN cord-221669-uokr4mjq 254 19 contact contact NN cord-221669-uokr4mjq 254 20 tracing tracing NN cord-221669-uokr4mjq 254 21 , , , cord-221669-uokr4mjq 254 22 extensive extensive JJ cord-221669-uokr4mjq 254 23 testing testing NN cord-221669-uokr4mjq 254 24 , , , cord-221669-uokr4mjq 254 25 rapid rapid JJ cord-221669-uokr4mjq 254 26 medical medical JJ cord-221669-uokr4mjq 254 27 response response NN cord-221669-uokr4mjq 254 28 and and CC cord-221669-uokr4mjq 254 29 isolation isolation NN cord-221669-uokr4mjq 254 30 of of IN cord-221669-uokr4mjq 254 31 positive positive JJ cord-221669-uokr4mjq 254 32 cases case NNS cord-221669-uokr4mjq 254 33 through through IN cord-221669-uokr4mjq 254 34 quarantine quarantine NN cord-221669-uokr4mjq 254 35 , , , cord-221669-uokr4mjq 254 36 may may MD cord-221669-uokr4mjq 254 37 be be VB cord-221669-uokr4mjq 254 38 the the DT cord-221669-uokr4mjq 254 39 most most RBS cord-221669-uokr4mjq 254 40 effective effective JJ cord-221669-uokr4mjq 254 41 in in IN cord-221669-uokr4mjq 254 42 reducing reduce VBG cord-221669-uokr4mjq 254 43 the the DT cord-221669-uokr4mjq 254 44 total total JJ cord-221669-uokr4mjq 254 45 case case NN cord-221669-uokr4mjq 254 46 and and CC cord-221669-uokr4mjq 254 47 fatality fatality NN cord-221669-uokr4mjq 254 48 numbers number NNS cord-221669-uokr4mjq 254 49 . . . cord-221669-uokr4mjq 255 1 It -PRON- PRP cord-221669-uokr4mjq 255 2 may may MD cord-221669-uokr4mjq 255 3 also also RB cord-221669-uokr4mjq 255 4 prove prove VB cord-221669-uokr4mjq 255 5 easier easy JJR cord-221669-uokr4mjq 255 6 to to TO cord-221669-uokr4mjq 255 7 sustain sustain VB cord-221669-uokr4mjq 255 8 a a DT cord-221669-uokr4mjq 255 9 strict strict JJ cord-221669-uokr4mjq 255 10 policy policy NN cord-221669-uokr4mjq 255 11 over over IN cord-221669-uokr4mjq 255 12 a a DT cord-221669-uokr4mjq 255 13 short short JJ cord-221669-uokr4mjq 255 14 period period NN cord-221669-uokr4mjq 255 15 of of IN cord-221669-uokr4mjq 255 16 time time NN cord-221669-uokr4mjq 255 17 than than IN cord-221669-uokr4mjq 255 18 a a DT cord-221669-uokr4mjq 255 19 more more RBR cord-221669-uokr4mjq 255 20 lax lax JJ cord-221669-uokr4mjq 255 21 one one NN cord-221669-uokr4mjq 255 22 over over IN cord-221669-uokr4mjq 255 23 a a DT cord-221669-uokr4mjq 255 24 longer long JJR cord-221669-uokr4mjq 255 25 period period NN cord-221669-uokr4mjq 255 26 . . . cord-221669-uokr4mjq 256 1 The the DT cord-221669-uokr4mjq 256 2 UK UK NNP cord-221669-uokr4mjq 256 3 and and CC cord-221669-uokr4mjq 256 4 Dutch dutch JJ cord-221669-uokr4mjq 256 5 social social JJ cord-221669-uokr4mjq 256 6 response response NN cord-221669-uokr4mjq 256 7 times time NNS cord-221669-uokr4mjq 256 8 τ τ NN cord-221669-uokr4mjq 256 9 are be VBP cord-221669-uokr4mjq 256 10 also also RB cord-221669-uokr4mjq 256 11 quite quite RB cord-221669-uokr4mjq 256 12 large large JJ cord-221669-uokr4mjq 256 13 , , , cord-221669-uokr4mjq 256 14 and and CC cord-221669-uokr4mjq 256 15 can can MD cord-221669-uokr4mjq 256 16 also also RB cord-221669-uokr4mjq 256 17 be be VB cord-221669-uokr4mjq 256 18 correlated correlate VBN cord-221669-uokr4mjq 256 19 with with IN cord-221669-uokr4mjq 256 20 their -PRON- PRP$ cord-221669-uokr4mjq 256 21 early early JJ cord-221669-uokr4mjq 256 22 national national JJ cord-221669-uokr4mjq 256 23 policies policy NNS cord-221669-uokr4mjq 256 24 that that WDT cord-221669-uokr4mjq 256 25 promoted promote VBD cord-221669-uokr4mjq 256 26 " " `` cord-221669-uokr4mjq 256 27 flattening flatten VBG cord-221669-uokr4mjq 256 28 the the DT cord-221669-uokr4mjq 256 29 curve curve NN cord-221669-uokr4mjq 256 30 " " '' cord-221669-uokr4mjq 256 31 and and CC cord-221669-uokr4mjq 256 32 developing develop VBG cord-221669-uokr4mjq 256 33 herd herd NN cord-221669-uokr4mjq 256 34 immunity immunity NN cord-221669-uokr4mjq 256 35 . . . cord-221669-uokr4mjq 257 1 To to TO cord-221669-uokr4mjq 257 2 quote quote VB cord-221669-uokr4mjq 257 3 the the DT cord-221669-uokr4mjq 257 4 Dutch dutch JJ cord-221669-uokr4mjq 257 5 Prime Prime NNP cord-221669-uokr4mjq 257 6 Minister Minister NNP cord-221669-uokr4mjq 257 7 regarding regard VBG cord-221669-uokr4mjq 257 8 COVID-19 covid-19 JJ cord-221669-uokr4mjq 257 9 policy policy NN cord-221669-uokr4mjq 257 10 in in IN cord-221669-uokr4mjq 257 11 a a DT cord-221669-uokr4mjq 257 12 national national JJ cord-221669-uokr4mjq 257 13 address address NN cord-221669-uokr4mjq 257 14 [ [ -LRB- cord-221669-uokr4mjq 257 15 14 14 CD cord-221669-uokr4mjq 257 16 ] ] -RRB- cord-221669-uokr4mjq 257 17 , , , cord-221669-uokr4mjq 257 18 ( ( -LRB- cord-221669-uokr4mjq 257 19 in in IN cord-221669-uokr4mjq 257 20 translation translation NN cord-221669-uokr4mjq 257 21 ) ) -RRB- cord-221669-uokr4mjq 257 22 " " `` cord-221669-uokr4mjq 257 23 ... ... : cord-221669-uokr4mjq 257 24 we -PRON- PRP cord-221669-uokr4mjq 257 25 can can MD cord-221669-uokr4mjq 257 26 slow slow VB cord-221669-uokr4mjq 257 27 down down RP cord-221669-uokr4mjq 257 28 the the DT cord-221669-uokr4mjq 257 29 spread spread NN cord-221669-uokr4mjq 257 30 of of IN cord-221669-uokr4mjq 257 31 the the DT cord-221669-uokr4mjq 257 32 virus virus NN cord-221669-uokr4mjq 257 33 while while IN cord-221669-uokr4mjq 257 34 at at IN cord-221669-uokr4mjq 257 35 the the DT cord-221669-uokr4mjq 257 36 same same JJ cord-221669-uokr4mjq 257 37 time time NN cord-221669-uokr4mjq 257 38 building build VBG cord-221669-uokr4mjq 257 39 group group NN cord-221669-uokr4mjq 257 40 immunity immunity NN cord-221669-uokr4mjq 257 41 in in IN cord-221669-uokr4mjq 257 42 a a DT cord-221669-uokr4mjq 257 43 controlled control VBN cord-221669-uokr4mjq 257 44 way way NN cord-221669-uokr4mjq 257 45 . . . cord-221669-uokr4mjq 258 1 " " `` cord-221669-uokr4mjq 258 2 In in IN cord-221669-uokr4mjq 258 3 a a DT cord-221669-uokr4mjq 258 4 national national JJ cord-221669-uokr4mjq 258 5 address address NN cord-221669-uokr4mjq 258 6 [ [ -LRB- cord-221669-uokr4mjq 258 7 15 15 CD cord-221669-uokr4mjq 258 8 ] ] -RRB- cord-221669-uokr4mjq 258 9 the the DT cord-221669-uokr4mjq 258 10 UK UK NNP cord-221669-uokr4mjq 258 11 Prime Prime NNP cord-221669-uokr4mjq 258 12 Minister Minister NNP cord-221669-uokr4mjq 258 13 stated state VBD cord-221669-uokr4mjq 258 14 that that IN cord-221669-uokr4mjq 258 15 " " `` cord-221669-uokr4mjq 258 16 It -PRON- PRP cord-221669-uokr4mjq 258 17 is be VBZ cord-221669-uokr4mjq 258 18 vital vital JJ cord-221669-uokr4mjq 258 19 to to TO cord-221669-uokr4mjq 258 20 slow slow VB cord-221669-uokr4mjq 258 21 the the DT cord-221669-uokr4mjq 258 22 spread spread NN cord-221669-uokr4mjq 258 23 of of IN cord-221669-uokr4mjq 258 24 the the DT cord-221669-uokr4mjq 258 25 disease disease NN cord-221669-uokr4mjq 258 26 . . . cord-221669-uokr4mjq 259 1 That that DT cord-221669-uokr4mjq 259 2 is be VBZ cord-221669-uokr4mjq 259 3 the the DT cord-221669-uokr4mjq 259 4 way way NN cord-221669-uokr4mjq 259 5 we -PRON- PRP cord-221669-uokr4mjq 259 6 reduce reduce VBP cord-221669-uokr4mjq 259 7 the the DT cord-221669-uokr4mjq 259 8 number number NN cord-221669-uokr4mjq 259 9 of of IN cord-221669-uokr4mjq 259 10 people people NNS cord-221669-uokr4mjq 259 11 needing need VBG cord-221669-uokr4mjq 259 12 hospital hospital NN cord-221669-uokr4mjq 259 13 treatment treatment NN cord-221669-uokr4mjq 259 14 at at IN cord-221669-uokr4mjq 259 15 any any DT cord-221669-uokr4mjq 259 16 one one CD cord-221669-uokr4mjq 259 17 time time NN cord-221669-uokr4mjq 259 18 . . . cord-221669-uokr4mjq 260 1 " " `` cord-221669-uokr4mjq 260 2 Of of RB cord-221669-uokr4mjq 260 3 course course RB cord-221669-uokr4mjq 260 4 the the DT cord-221669-uokr4mjq 260 5 argument argument NN cord-221669-uokr4mjq 260 6 that that IN cord-221669-uokr4mjq 260 7 slowing slow VBG cord-221669-uokr4mjq 260 8 the the DT cord-221669-uokr4mjq 260 9 spread spread NN cord-221669-uokr4mjq 260 10 of of IN cord-221669-uokr4mjq 260 11 the the DT cord-221669-uokr4mjq 260 12 pandemic pandemic NN cord-221669-uokr4mjq 260 13 is be VBZ cord-221669-uokr4mjq 260 14 advantageous advantageous JJ cord-221669-uokr4mjq 260 15 because because IN cord-221669-uokr4mjq 260 16 it -PRON- PRP cord-221669-uokr4mjq 260 17 " " `` cord-221669-uokr4mjq 260 18 flattens flatten VBZ cord-221669-uokr4mjq 260 19 the the DT cord-221669-uokr4mjq 260 20 curve curve NN cord-221669-uokr4mjq 260 21 " " `` cord-221669-uokr4mjq 260 22 is be VBZ cord-221669-uokr4mjq 260 23 specious specious JJ cord-221669-uokr4mjq 260 24 . . . cord-221669-uokr4mjq 261 1 This this DT cord-221669-uokr4mjq 261 2 tacitly tacitly RB cord-221669-uokr4mjq 261 3 assumes assume VBZ cord-221669-uokr4mjq 261 4 that that IN cord-221669-uokr4mjq 261 5 the the DT cord-221669-uokr4mjq 261 6 total total JJ cord-221669-uokr4mjq 261 7 number number NN cord-221669-uokr4mjq 261 8 of of IN cord-221669-uokr4mjq 261 9 cases case NNS cord-221669-uokr4mjq 261 10 P p NN cord-221669-uokr4mjq 261 11 max max NN cord-221669-uokr4mjq 261 12 is be VBZ cord-221669-uokr4mjq 261 13 constant constant JJ cord-221669-uokr4mjq 261 14 , , , cord-221669-uokr4mjq 261 15 so so IN cord-221669-uokr4mjq 261 16 a a DT cord-221669-uokr4mjq 261 17 broader broad JJR cord-221669-uokr4mjq 261 18 rate rate NN cord-221669-uokr4mjq 261 19 curve curve NN cord-221669-uokr4mjq 261 20 must must MD cord-221669-uokr4mjq 261 21 have have VB cord-221669-uokr4mjq 261 22 a a DT cord-221669-uokr4mjq 261 23 lower low JJR cord-221669-uokr4mjq 261 24 mean mean NN cord-221669-uokr4mjq 261 25 . . . cord-221669-uokr4mjq 262 1 In in IN cord-221669-uokr4mjq 262 2 practice practice NN cord-221669-uokr4mjq 262 3 there there EX cord-221669-uokr4mjq 262 4 is be VBZ cord-221669-uokr4mjq 262 5 instead instead RB cord-221669-uokr4mjq 262 6 evidence evidence NN cord-221669-uokr4mjq 262 7 that that IN cord-221669-uokr4mjq 262 8 a a DT cord-221669-uokr4mjq 262 9 longer long JJR cord-221669-uokr4mjq 262 10 τ τ NN cord-221669-uokr4mjq 262 11 may may MD cord-221669-uokr4mjq 262 12 result result VB cord-221669-uokr4mjq 262 13 in in IN cord-221669-uokr4mjq 262 14 more more JJR cord-221669-uokr4mjq 262 15 infections infection NNS cord-221669-uokr4mjq 262 16 per per IN cord-221669-uokr4mjq 262 17 capita capita NN cord-221669-uokr4mjq 262 18 , , , cord-221669-uokr4mjq 262 19 as as IN cord-221669-uokr4mjq 262 20 seen see VBN cord-221669-uokr4mjq 262 21 in in IN cord-221669-uokr4mjq 262 22 comparing compare VBG cord-221669-uokr4mjq 262 23 Sweden Sweden NNP cord-221669-uokr4mjq 262 24 with with IN cord-221669-uokr4mjq 262 25 Denmark Denmark NNP cord-221669-uokr4mjq 262 26 and and CC cord-221669-uokr4mjq 262 27 Norway Norway NNP cord-221669-uokr4mjq 262 28 . . . cord-221669-uokr4mjq 263 1 If if IN cord-221669-uokr4mjq 263 2 so so RB cord-221669-uokr4mjq 263 3 , , , cord-221669-uokr4mjq 263 4 flattening flatten VBG cord-221669-uokr4mjq 263 5 the the DT cord-221669-uokr4mjq 263 6 curve curve NN cord-221669-uokr4mjq 263 7 by by IN cord-221669-uokr4mjq 263 8 slowing slow VBG cord-221669-uokr4mjq 263 9 the the DT cord-221669-uokr4mjq 263 10 spread spread NN cord-221669-uokr4mjq 263 11 of of IN cord-221669-uokr4mjq 263 12 the the DT cord-221669-uokr4mjq 263 13 pandemic pandemic NN cord-221669-uokr4mjq 263 14 unfortunately unfortunately RB cord-221669-uokr4mjq 263 15 increases increase VBZ cord-221669-uokr4mjq 263 16 the the DT cord-221669-uokr4mjq 263 17 total total JJ cord-221669-uokr4mjq 263 18 number number NN cord-221669-uokr4mjq 263 19 of of IN cord-221669-uokr4mjq 263 20 cases case NNS cord-221669-uokr4mjq 263 21 and and CC cord-221669-uokr4mjq 263 22 fatalities fatality NNS cord-221669-uokr4mjq 263 23 . . . cord-221669-uokr4mjq 264 1 This this DT cord-221669-uokr4mjq 264 2 complicated complicated JJ cord-221669-uokr4mjq 264 3 and and CC cord-221669-uokr4mjq 264 4 perhaps perhaps RB cord-221669-uokr4mjq 264 5 counterintuitive counterintuitive JJ cord-221669-uokr4mjq 264 6 issue issue NN cord-221669-uokr4mjq 264 7 certainly certainly RB cord-221669-uokr4mjq 264 8 merits merit VBZ cord-221669-uokr4mjq 264 9 careful careful JJ cord-221669-uokr4mjq 264 10 future future JJ cord-221669-uokr4mjq 264 11 investigation investigation NN cord-221669-uokr4mjq 264 12 . . . cord-221669-uokr4mjq 265 1 We -PRON- PRP cord-221669-uokr4mjq 265 2 have have VBP cord-221669-uokr4mjq 265 3 also also RB cord-221669-uokr4mjq 265 4 carried carry VBN cord-221669-uokr4mjq 265 5 out out RP cord-221669-uokr4mjq 265 6 fits fit NNS cord-221669-uokr4mjq 265 7 of of IN cord-221669-uokr4mjq 265 8 the the DT cord-221669-uokr4mjq 265 9 SHIR SHIR NNP cord-221669-uokr4mjq 265 10 model model NN cord-221669-uokr4mjq 265 11 to to IN cord-221669-uokr4mjq 265 12 COVID-19 covid-19 VB cord-221669-uokr4mjq 265 13 data datum NNS cord-221669-uokr4mjq 265 14 for for IN cord-221669-uokr4mjq 265 15 three three CD cord-221669-uokr4mjq 265 16 North north JJ cord-221669-uokr4mjq 265 17 American american JJ cord-221669-uokr4mjq 265 18 countries country NNS cord-221669-uokr4mjq 265 19 , , , cord-221669-uokr4mjq 265 20 Canada Canada NNP cord-221669-uokr4mjq 265 21 , , , cord-221669-uokr4mjq 265 22 Mexico Mexico NNP cord-221669-uokr4mjq 265 23 and and CC cord-221669-uokr4mjq 265 24 the the DT cord-221669-uokr4mjq 265 25 USA USA NNP cord-221669-uokr4mjq 265 26 . . . cord-221669-uokr4mjq 266 1 These these DT cord-221669-uokr4mjq 266 2 three three CD cord-221669-uokr4mjq 266 3 countries country NNS cord-221669-uokr4mjq 266 4 were be VBD cord-221669-uokr4mjq 266 5 treated treat VBN cord-221669-uokr4mjq 266 6 as as IN cord-221669-uokr4mjq 266 7 a a DT cord-221669-uokr4mjq 266 8 separate separate JJ cord-221669-uokr4mjq 266 9 exercise exercise NN cord-221669-uokr4mjq 266 10 because because IN cord-221669-uokr4mjq 266 11 of of IN cord-221669-uokr4mjq 266 12 concerns concern NNS cord-221669-uokr4mjq 266 13 that that IN cord-221669-uokr4mjq 266 14 European european JJ cord-221669-uokr4mjq 266 15 and and CC cord-221669-uokr4mjq 266 16 North north JJ cord-221669-uokr4mjq 266 17 American american JJ cord-221669-uokr4mjq 266 18 policies policy NNS cord-221669-uokr4mjq 266 19 differed differ VBD cord-221669-uokr4mjq 266 20 considerably considerably RB cord-221669-uokr4mjq 266 21 , , , cord-221669-uokr4mjq 266 22 which which WDT cord-221669-uokr4mjq 266 23 might may MD cord-221669-uokr4mjq 266 24 lead lead VB cord-221669-uokr4mjq 266 25 to to IN cord-221669-uokr4mjq 266 26 very very RB cord-221669-uokr4mjq 266 27 different different JJ cord-221669-uokr4mjq 266 28 fit fit JJ cord-221669-uokr4mjq 266 29 parameters parameter NNS cord-221669-uokr4mjq 266 30 and and CC cord-221669-uokr4mjq 266 31 pandemic pandemic NN cord-221669-uokr4mjq 266 32 curves curve NNS cord-221669-uokr4mjq 266 33 . . . cord-221669-uokr4mjq 267 1 This this DT cord-221669-uokr4mjq 267 2 was be VBD cord-221669-uokr4mjq 267 3 indeed indeed RB cord-221669-uokr4mjq 267 4 found find VBN cord-221669-uokr4mjq 267 5 to to TO cord-221669-uokr4mjq 267 6 be be VB cord-221669-uokr4mjq 267 7 the the DT cord-221669-uokr4mjq 267 8 case case NN cord-221669-uokr4mjq 267 9 . . . cord-221669-uokr4mjq 268 1 Most Most JJS cord-221669-uokr4mjq 268 2 of of IN cord-221669-uokr4mjq 268 3 the the DT cord-221669-uokr4mjq 268 4 fits fit NNS cord-221669-uokr4mjq 268 5 of of IN cord-221669-uokr4mjq 268 6 the the DT cord-221669-uokr4mjq 268 7 SHIR SHIR NNP cord-221669-uokr4mjq 268 8 model model NN cord-221669-uokr4mjq 268 9 to to IN cord-221669-uokr4mjq 268 10 European european JJ cord-221669-uokr4mjq 268 11 countries country NNS cord-221669-uokr4mjq 268 12 described describe VBN cord-221669-uokr4mjq 268 13 above above RB cord-221669-uokr4mjq 268 14 were be VBD cord-221669-uokr4mjq 268 15 carried carry VBN cord-221669-uokr4mjq 268 16 out out RP cord-221669-uokr4mjq 268 17 in in IN cord-221669-uokr4mjq 268 18 May May NNP cord-221669-uokr4mjq 268 19 2020 2020 CD cord-221669-uokr4mjq 268 20 , , , cord-221669-uokr4mjq 268 21 using use VBG cord-221669-uokr4mjq 268 22 82-point 82-point CD cord-221669-uokr4mjq 268 23 Worldometer Worldometer NNP cord-221669-uokr4mjq 268 24 coronavirus coronavirus NN cord-221669-uokr4mjq 268 25 datasets dataset NNS cord-221669-uokr4mjq 268 26 [ [ -LRB- cord-221669-uokr4mjq 268 27 7 7 CD cord-221669-uokr4mjq 268 28 ] ] -RRB- cord-221669-uokr4mjq 268 29 covering cover VBG cord-221669-uokr4mjq 268 30 the the DT cord-221669-uokr4mjq 268 31 period period NN cord-221669-uokr4mjq 268 32 15 15 CD cord-221669-uokr4mjq 268 33 Feb Feb NNP cord-221669-uokr4mjq 268 34 -06 -06 WDT cord-221669-uokr4mjq 268 35 May May NNP cord-221669-uokr4mjq 268 36 2020 2020 CD cord-221669-uokr4mjq 268 37 . . . cord-221669-uokr4mjq 269 1 Initially initially RB cord-221669-uokr4mjq 269 2 we -PRON- PRP cord-221669-uokr4mjq 269 3 used use VBD cord-221669-uokr4mjq 269 4 the the DT cord-221669-uokr4mjq 269 5 same same JJ cord-221669-uokr4mjq 269 6 procedures procedure NNS cord-221669-uokr4mjq 269 7 and and CC cord-221669-uokr4mjq 269 8 datasets dataset NNS cord-221669-uokr4mjq 269 9 for for IN cord-221669-uokr4mjq 269 10 the the DT cord-221669-uokr4mjq 269 11 three three CD cord-221669-uokr4mjq 269 12 North north JJ cord-221669-uokr4mjq 269 13 American american JJ cord-221669-uokr4mjq 269 14 countries country NNS cord-221669-uokr4mjq 269 15 . . . cord-221669-uokr4mjq 270 1 This this DT cord-221669-uokr4mjq 270 2 appeared appear VBD cord-221669-uokr4mjq 270 3 satisfactory satisfactory JJ cord-221669-uokr4mjq 270 4 for for IN cord-221669-uokr4mjq 270 5 Canada Canada NNP cord-221669-uokr4mjq 270 6 and and CC cord-221669-uokr4mjq 270 7 the the DT cord-221669-uokr4mjq 270 8 USA USA NNP cord-221669-uokr4mjq 270 9 , , , cord-221669-uokr4mjq 270 10 however however RB cord-221669-uokr4mjq 270 11 the the DT cord-221669-uokr4mjq 270 12 data datum NNS cord-221669-uokr4mjq 270 13 for for IN cord-221669-uokr4mjq 270 14 Mexico Mexico NNP cord-221669-uokr4mjq 270 15 showed show VBD cord-221669-uokr4mjq 270 16 that that IN cord-221669-uokr4mjq 270 17 this this DT cord-221669-uokr4mjq 270 18 country country NN cord-221669-uokr4mjq 270 19 was be VBD cord-221669-uokr4mjq 270 20 still still RB cord-221669-uokr4mjq 270 21 in in IN cord-221669-uokr4mjq 270 22 the the DT cord-221669-uokr4mjq 270 23 early early JJ cord-221669-uokr4mjq 270 24 stages stage NNS cord-221669-uokr4mjq 270 25 of of IN cord-221669-uokr4mjq 270 26 the the DT cord-221669-uokr4mjq 270 27 pandemic pandemic NN cord-221669-uokr4mjq 270 28 , , , cord-221669-uokr4mjq 270 29 and and CC cord-221669-uokr4mjq 270 30 had have VBD cord-221669-uokr4mjq 270 31 a a DT cord-221669-uokr4mjq 270 32 very very RB cord-221669-uokr4mjq 270 33 long long JJ cord-221669-uokr4mjq 270 34 social social JJ cord-221669-uokr4mjq 270 35 response response NN cord-221669-uokr4mjq 270 36 time time NN cord-221669-uokr4mjq 270 37 of of IN cord-221669-uokr4mjq 270 38 about about RB cord-221669-uokr4mjq 270 39 63 63 CD cord-221669-uokr4mjq 270 40 days day NNS cord-221669-uokr4mjq 270 41 , , , cord-221669-uokr4mjq 270 42 with with IN cord-221669-uokr4mjq 270 43 a a DT cord-221669-uokr4mjq 270 44 predicted predict VBN cord-221669-uokr4mjq 270 45 pandemic pandemic NN cord-221669-uokr4mjq 270 46 peak peak NN cord-221669-uokr4mjq 270 47 in in IN cord-221669-uokr4mjq 270 48 late late JJ cord-221669-uokr4mjq 270 49 July July NNP cord-221669-uokr4mjq 270 50 . . . cord-221669-uokr4mjq 271 1 For for IN cord-221669-uokr4mjq 271 2 this this DT cord-221669-uokr4mjq 271 3 reason reason NN cord-221669-uokr4mjq 271 4 we -PRON- PRP cord-221669-uokr4mjq 271 5 decided decide VBD cord-221669-uokr4mjq 271 6 to to TO cord-221669-uokr4mjq 271 7 carry carry VB cord-221669-uokr4mjq 271 8 out out RP cord-221669-uokr4mjq 271 9 a a DT cord-221669-uokr4mjq 271 10 fit fit NN cord-221669-uokr4mjq 271 11 to to IN cord-221669-uokr4mjq 271 12 Mexico Mexico NNP cord-221669-uokr4mjq 271 13 incorporating incorporate VBG cord-221669-uokr4mjq 271 14 later later JJ cord-221669-uokr4mjq 271 15 data datum NNS cord-221669-uokr4mjq 271 16 , , , cord-221669-uokr4mjq 271 17 specifically specifically RB cord-221669-uokr4mjq 271 18 a a DT cord-221669-uokr4mjq 271 19 151-point 151-point CD cord-221669-uokr4mjq 271 20 Worldometer Worldometer NNP cord-221669-uokr4mjq 271 21 cpd cpd NNP cord-221669-uokr4mjq 271 22 dataset dataset NN cord-221669-uokr4mjq 271 23 for for IN cord-221669-uokr4mjq 271 24 the the DT cord-221669-uokr4mjq 271 25 period period NN cord-221669-uokr4mjq 271 26 15 15 CD cord-221669-uokr4mjq 271 27 Feb Feb NNP cord-221669-uokr4mjq 271 28 -14 -14 NNP cord-221669-uokr4mjq 271 29 July July NNP cord-221669-uokr4mjq 271 30 2020 2020 CD cord-221669-uokr4mjq 271 31 , , , cord-221669-uokr4mjq 271 32 and and CC cord-221669-uokr4mjq 271 33 have have VBP cord-221669-uokr4mjq 271 34 fitted fit VBN cord-221669-uokr4mjq 271 35 the the DT cord-221669-uokr4mjq 271 36 corresponding correspond VBG cord-221669-uokr4mjq 271 37 data datum NNS cord-221669-uokr4mjq 271 38 for for IN cord-221669-uokr4mjq 271 39 Canada Canada NNP cord-221669-uokr4mjq 271 40 as as RB cord-221669-uokr4mjq 271 41 well well RB cord-221669-uokr4mjq 271 42 . . . cord-221669-uokr4mjq 272 1 Recent recent JJ cord-221669-uokr4mjq 272 2 developments development NNS cord-221669-uokr4mjq 272 3 in in IN cord-221669-uokr4mjq 272 4 the the DT cord-221669-uokr4mjq 272 5 USA USA NNP cord-221669-uokr4mjq 272 6 have have VBP cord-221669-uokr4mjq 272 7 shown show VBN cord-221669-uokr4mjq 272 8 a a DT cord-221669-uokr4mjq 272 9 dramatic dramatic JJ cord-221669-uokr4mjq 272 10 departure departure NN cord-221669-uokr4mjq 272 11 from from IN cord-221669-uokr4mjq 272 12 a a DT cord-221669-uokr4mjq 272 13 single single JJ cord-221669-uokr4mjq 272 14 peak peak NN cord-221669-uokr4mjq 272 15 model model NN cord-221669-uokr4mjq 272 16 , , , cord-221669-uokr4mjq 272 17 which which WDT cord-221669-uokr4mjq 272 18 suggests suggest VBZ cord-221669-uokr4mjq 272 19 that that IN cord-221669-uokr4mjq 272 20 the the DT cord-221669-uokr4mjq 272 21 USA USA NNP cord-221669-uokr4mjq 272 22 should should MD cord-221669-uokr4mjq 272 23 be be VB cord-221669-uokr4mjq 272 24 treated treat VBN cord-221669-uokr4mjq 272 25 as as IN cord-221669-uokr4mjq 272 26 a a DT cord-221669-uokr4mjq 272 27 superposition superposition NN cord-221669-uokr4mjq 272 28 of of IN cord-221669-uokr4mjq 272 29 several several JJ cord-221669-uokr4mjq 272 30 more more RBR cord-221669-uokr4mjq 272 31 localized localized JJ cord-221669-uokr4mjq 272 32 outbreaks outbreak NNS cord-221669-uokr4mjq 272 33 . . . cord-221669-uokr4mjq 273 1 Accordingly accordingly RB cord-221669-uokr4mjq 273 2 , , , cord-221669-uokr4mjq 273 3 here here RB cord-221669-uokr4mjq 273 4 we -PRON- PRP cord-221669-uokr4mjq 273 5 quote quote VBP cord-221669-uokr4mjq 273 6 SHIR SHIR NNP cord-221669-uokr4mjq 273 7 model model NN cord-221669-uokr4mjq 273 8 fit fit JJ cord-221669-uokr4mjq 273 9 results result NNS cord-221669-uokr4mjq 273 10 for for IN cord-221669-uokr4mjq 273 11 New New NNP cord-221669-uokr4mjq 273 12 York York NNP cord-221669-uokr4mjq 273 13 State State NNP cord-221669-uokr4mjq 273 14 alone alone RB cord-221669-uokr4mjq 273 15 , , , cord-221669-uokr4mjq 273 16 as as IN cord-221669-uokr4mjq 273 17 a a DT cord-221669-uokr4mjq 273 18 representative representative JJ cord-221669-uokr4mjq 273 19 component component NN cord-221669-uokr4mjq 273 20 of of IN cord-221669-uokr4mjq 273 21 the the DT cord-221669-uokr4mjq 273 22 USA USA NNP cord-221669-uokr4mjq 273 23 with with IN cord-221669-uokr4mjq 273 24 an an DT cord-221669-uokr4mjq 273 25 effective effective JJ cord-221669-uokr4mjq 273 26 social social JJ cord-221669-uokr4mjq 273 27 response response NN cord-221669-uokr4mjq 273 28 . . . cord-221669-uokr4mjq 274 1 The the DT cord-221669-uokr4mjq 274 2 cpd cpd NNP cord-221669-uokr4mjq 274 3 data datum NNS cord-221669-uokr4mjq 274 4 in in IN cord-221669-uokr4mjq 274 5 this this DT cord-221669-uokr4mjq 274 6 case case NN cord-221669-uokr4mjq 274 7 is be VBZ cord-221669-uokr4mjq 274 8 available available JJ cord-221669-uokr4mjq 274 9 from from IN cord-221669-uokr4mjq 274 10 12 12 CD cord-221669-uokr4mjq 274 11 Mar Mar NNP cord-221669-uokr4mjq 274 12 2020 2020 CD cord-221669-uokr4mjq 274 13 , , , cord-221669-uokr4mjq 274 14 so so RB cord-221669-uokr4mjq 274 15 we -PRON- PRP cord-221669-uokr4mjq 274 16 fitted fit VBD cord-221669-uokr4mjq 274 17 a a DT cord-221669-uokr4mjq 274 18 dataset dataset NN cord-221669-uokr4mjq 274 19 covering cover VBG cord-221669-uokr4mjq 274 20 the the DT cord-221669-uokr4mjq 274 21 period period NN cord-221669-uokr4mjq 274 22 12 12 CD cord-221669-uokr4mjq 274 23 Mar Mar NNP cord-221669-uokr4mjq 274 24 -14 -14 NNP cord-221669-uokr4mjq 274 25 July July NNP cord-221669-uokr4mjq 274 26 2020 2020 CD cord-221669-uokr4mjq 274 27 , , , cord-221669-uokr4mjq 274 28 comprising comprise VBG cord-221669-uokr4mjq 274 29 125 125 CD cord-221669-uokr4mjq 274 30 data data NN cord-221669-uokr4mjq 274 31 points point NNS cord-221669-uokr4mjq 274 32 . . . cord-221669-uokr4mjq 275 1 The the DT cord-221669-uokr4mjq 275 2 results result NNS cord-221669-uokr4mjq 275 3 of of IN cord-221669-uokr4mjq 275 4 these these DT cord-221669-uokr4mjq 275 5 fits fit NNS cord-221669-uokr4mjq 275 6 are be VBP cord-221669-uokr4mjq 275 7 given give VBN cord-221669-uokr4mjq 275 8 in in IN cord-221669-uokr4mjq 275 9 Table Table NNP cord-221669-uokr4mjq 275 10 . . . cord-221669-uokr4mjq 275 11 _SP cord-221669-uokr4mjq 276 1 Of of RB cord-221669-uokr4mjq 276 2 course course RB cord-221669-uokr4mjq 276 3 each each DT cord-221669-uokr4mjq 276 4 of of IN cord-221669-uokr4mjq 276 5 the the DT cord-221669-uokr4mjq 276 6 national national JJ cord-221669-uokr4mjq 276 7 pandemic pandemic NN cord-221669-uokr4mjq 276 8 datasets dataset NNS cord-221669-uokr4mjq 276 9 we -PRON- PRP cord-221669-uokr4mjq 276 10 are be VBP cord-221669-uokr4mjq 276 11 studying study VBG cord-221669-uokr4mjq 276 12 is be VBZ cord-221669-uokr4mjq 276 13 in in IN cord-221669-uokr4mjq 276 14 some some DT cord-221669-uokr4mjq 276 15 sense sense NN cord-221669-uokr4mjq 276 16 the the DT cord-221669-uokr4mjq 276 17 sum sum NN cord-221669-uokr4mjq 276 18 of of IN cord-221669-uokr4mjq 276 19 multiple multiple JJ cord-221669-uokr4mjq 276 20 events event NNS cord-221669-uokr4mjq 276 21 , , , cord-221669-uokr4mjq 276 22 displaced displace VBN cord-221669-uokr4mjq 276 23 in in IN cord-221669-uokr4mjq 276 24 time time NN cord-221669-uokr4mjq 276 25 and and CC cord-221669-uokr4mjq 276 26 encountering encounter VBG cord-221669-uokr4mjq 276 27 special special JJ cord-221669-uokr4mjq 276 28 local local JJ cord-221669-uokr4mjq 276 29 conditions condition NNS cord-221669-uokr4mjq 276 30 . . . cord-221669-uokr4mjq 277 1 In in IN cord-221669-uokr4mjq 277 2 the the DT cord-221669-uokr4mjq 277 3 USA USA NNP cord-221669-uokr4mjq 277 4 for for IN cord-221669-uokr4mjq 277 5 example example NN cord-221669-uokr4mjq 277 6 the the DT cord-221669-uokr4mjq 277 7 early early JJ cord-221669-uokr4mjq 277 8 data data NN cord-221669-uokr4mjq 277 9 is be VBZ cord-221669-uokr4mjq 277 10 dominated dominate VBN cord-221669-uokr4mjq 277 11 by by IN cord-221669-uokr4mjq 277 12 events event NNS cord-221669-uokr4mjq 277 13 on on IN cord-221669-uokr4mjq 277 14 the the DT cord-221669-uokr4mjq 277 15 West West NNP cord-221669-uokr4mjq 277 16 Coast Coast NNP cord-221669-uokr4mjq 277 17 , , , cord-221669-uokr4mjq 277 18 but but CC cord-221669-uokr4mjq 277 19 these these DT cord-221669-uokr4mjq 277 20 were be VBD cord-221669-uokr4mjq 277 21 superseded supersede VBN cord-221669-uokr4mjq 277 22 by by IN cord-221669-uokr4mjq 277 23 the the DT cord-221669-uokr4mjq 277 24 major major JJ cord-221669-uokr4mjq 277 25 outbreak outbreak NN cord-221669-uokr4mjq 277 26 involving involve VBG cord-221669-uokr4mjq 277 27 New New NNP cord-221669-uokr4mjq 277 28 York York NNP cord-221669-uokr4mjq 277 29 City City NNP cord-221669-uokr4mjq 277 30 , , , cord-221669-uokr4mjq 277 31 and and CC cord-221669-uokr4mjq 277 32 then then RB cord-221669-uokr4mjq 277 33 by by IN cord-221669-uokr4mjq 277 34 a a DT cord-221669-uokr4mjq 277 35 smaller small JJR cord-221669-uokr4mjq 277 36 event event NN cord-221669-uokr4mjq 277 37 in in IN cord-221669-uokr4mjq 277 38 New New NNP cord-221669-uokr4mjq 277 39 Jersey Jersey NNP cord-221669-uokr4mjq 277 40 , , , cord-221669-uokr4mjq 277 41 and and CC cord-221669-uokr4mjq 277 42 a a DT cord-221669-uokr4mjq 277 43 larger large JJR cord-221669-uokr4mjq 277 44 number number NN cord-221669-uokr4mjq 277 45 of of IN cord-221669-uokr4mjq 277 46 local local JJ cord-221669-uokr4mjq 277 47 events event NNS cord-221669-uokr4mjq 277 48 in in IN cord-221669-uokr4mjq 277 49 the the DT cord-221669-uokr4mjq 277 50 Midwest Midwest NNP cord-221669-uokr4mjq 277 51 and and CC cord-221669-uokr4mjq 277 52 South South NNP cord-221669-uokr4mjq 277 53 . . . cord-221669-uokr4mjq 278 1 Fitting fit VBG cord-221669-uokr4mjq 278 2 the the DT cord-221669-uokr4mjq 278 3 data datum NNS cord-221669-uokr4mjq 278 4 from from IN cord-221669-uokr4mjq 278 5 many many JJ cord-221669-uokr4mjq 278 6 local local JJ cord-221669-uokr4mjq 278 7 outbreaks outbreak NNS cord-221669-uokr4mjq 278 8 as as IN cord-221669-uokr4mjq 278 9 a a DT cord-221669-uokr4mjq 278 10 single single JJ cord-221669-uokr4mjq 278 11 event event NN cord-221669-uokr4mjq 278 12 is be VBZ cord-221669-uokr4mjq 278 13 clearly clearly RB cord-221669-uokr4mjq 278 14 problematic problematic JJ cord-221669-uokr4mjq 278 15 . . . cord-221669-uokr4mjq 279 1 A a DT cord-221669-uokr4mjq 279 2 series series NN cord-221669-uokr4mjq 279 3 of of IN cord-221669-uokr4mjq 279 4 local local JJ cord-221669-uokr4mjq 279 5 events event NNS cord-221669-uokr4mjq 279 6 separated separate VBN cord-221669-uokr4mjq 279 7 in in IN cord-221669-uokr4mjq 279 8 time time NN cord-221669-uokr4mjq 279 9 but but CC cord-221669-uokr4mjq 279 10 still still RB cord-221669-uokr4mjq 279 11 overlapping overlap VBG cord-221669-uokr4mjq 279 12 significantly significantly RB cord-221669-uokr4mjq 279 13 , , , cord-221669-uokr4mjq 279 14 if if IN cord-221669-uokr4mjq 279 15 fitted fit VBN cord-221669-uokr4mjq 279 16 as as IN cord-221669-uokr4mjq 279 17 a a DT cord-221669-uokr4mjq 279 18 single single JJ cord-221669-uokr4mjq 279 19 outbreak outbreak NN cord-221669-uokr4mjq 279 20 , , , cord-221669-uokr4mjq 279 21 could could MD cord-221669-uokr4mjq 279 22 give give VB cord-221669-uokr4mjq 279 23 a a DT cord-221669-uokr4mjq 279 24 misleadingly misleadingly RB cord-221669-uokr4mjq 279 25 large large JJ cord-221669-uokr4mjq 279 26 τ τ NN cord-221669-uokr4mjq 279 27 . . . cord-221669-uokr4mjq 280 1 Separating separate VBG cord-221669-uokr4mjq 280 2 the the DT cord-221669-uokr4mjq 280 3 individual individual JJ cord-221669-uokr4mjq 280 4 events event NNS cord-221669-uokr4mjq 280 5 will will MD cord-221669-uokr4mjq 280 6 require require VB cord-221669-uokr4mjq 280 7 accurate accurate JJ cord-221669-uokr4mjq 280 8 local local JJ cord-221669-uokr4mjq 280 9 data datum NNS cord-221669-uokr4mjq 280 10 , , , cord-221669-uokr4mjq 280 11 and and CC cord-221669-uokr4mjq 280 12 a a DT cord-221669-uokr4mjq 280 13 more more RBR cord-221669-uokr4mjq 280 14 detailed detailed JJ cord-221669-uokr4mjq 280 15 investigation investigation NN cord-221669-uokr4mjq 280 16 . . . cord-221669-uokr4mjq 281 1 Despite despite IN cord-221669-uokr4mjq 281 2 this this DT cord-221669-uokr4mjq 281 3 concern concern NN cord-221669-uokr4mjq 281 4 , , , cord-221669-uokr4mjq 281 5 the the DT cord-221669-uokr4mjq 281 6 SHIR SHIR NNP cord-221669-uokr4mjq 281 7 model model NN cord-221669-uokr4mjq 281 8 does do VBZ cord-221669-uokr4mjq 281 9 nonetheless nonetheless RB cord-221669-uokr4mjq 281 10 allow allow VB cord-221669-uokr4mjq 281 11 a a DT cord-221669-uokr4mjq 281 12 reasonably reasonably RB cord-221669-uokr4mjq 281 13 accurate accurate JJ cord-221669-uokr4mjq 281 14 fit fit NN cord-221669-uokr4mjq 281 15 to to IN cord-221669-uokr4mjq 281 16 most most JJS cord-221669-uokr4mjq 281 17 of of IN cord-221669-uokr4mjq 281 18 the the DT cord-221669-uokr4mjq 281 19 national national JJ cord-221669-uokr4mjq 281 20 datasets dataset NNS cord-221669-uokr4mjq 281 21 we -PRON- PRP cord-221669-uokr4mjq 281 22 have have VBP cord-221669-uokr4mjq 281 23 considered consider VBN cord-221669-uokr4mjq 281 24 . . . cord-221669-uokr4mjq 282 1 Of of IN cord-221669-uokr4mjq 282 2 the the DT cord-221669-uokr4mjq 282 3 15 15 CD cord-221669-uokr4mjq 282 4 European european JJ cord-221669-uokr4mjq 282 5 countries country NNS cord-221669-uokr4mjq 282 6 we -PRON- PRP cord-221669-uokr4mjq 282 7 have have VBP cord-221669-uokr4mjq 282 8 discussed discuss VBN cord-221669-uokr4mjq 282 9 here here RB cord-221669-uokr4mjq 282 10 , , , cord-221669-uokr4mjq 282 11 just just RB cord-221669-uokr4mjq 282 12 two two CD cord-221669-uokr4mjq 282 13 showed show VBD cord-221669-uokr4mjq 282 14 clear clear JJ cord-221669-uokr4mjq 282 15 evidence evidence NN cord-221669-uokr4mjq 282 16 of of IN cord-221669-uokr4mjq 282 17 a a DT cord-221669-uokr4mjq 282 18 more more RBR cord-221669-uokr4mjq 282 19 complicated complicated JJ cord-221669-uokr4mjq 282 20 pandemic pandemic NN cord-221669-uokr4mjq 282 21 history history NN cord-221669-uokr4mjq 282 22 that that WDT cord-221669-uokr4mjq 282 23 could could MD cord-221669-uokr4mjq 282 24 not not RB cord-221669-uokr4mjq 282 25 be be VB cord-221669-uokr4mjq 282 26 fitted fit VBN cord-221669-uokr4mjq 282 27 as as IN cord-221669-uokr4mjq 282 28 a a DT cord-221669-uokr4mjq 282 29 single single JJ cord-221669-uokr4mjq 282 30 - - HYPH cord-221669-uokr4mjq 282 31 peak peak NN cord-221669-uokr4mjq 282 32 event event NN cord-221669-uokr4mjq 282 33 . . . cord-221669-uokr4mjq 283 1 These these DT cord-221669-uokr4mjq 283 2 were be VBD cord-221669-uokr4mjq 283 3 Denmark Denmark NNP cord-221669-uokr4mjq 283 4 and and CC cord-221669-uokr4mjq 283 5 Norway Norway NNP cord-221669-uokr4mjq 283 6 . . . cord-221669-uokr4mjq 284 1 In in IN cord-221669-uokr4mjq 284 2 both both DT cord-221669-uokr4mjq 284 3 countries country NNS cord-221669-uokr4mjq 284 4 there there EX cord-221669-uokr4mjq 284 5 was be VBD cord-221669-uokr4mjq 284 6 evidence evidence NN cord-221669-uokr4mjq 284 7 of of IN cord-221669-uokr4mjq 284 8 an an DT cord-221669-uokr4mjq 284 9 early early JJ cord-221669-uokr4mjq 284 10 , , , cord-221669-uokr4mjq 284 11 short short RB cord-221669-uokr4mjq 284 12 - - HYPH cord-221669-uokr4mjq 284 13 lived live VBN cord-221669-uokr4mjq 284 14 outbreak outbreak NN cord-221669-uokr4mjq 284 15 , , , cord-221669-uokr4mjq 284 16 which which WDT cord-221669-uokr4mjq 284 17 led lead VBD cord-221669-uokr4mjq 284 18 to to IN cord-221669-uokr4mjq 284 19 about about RB cord-221669-uokr4mjq 284 20 800 800 CD cord-221669-uokr4mjq 284 21 cases case NNS cord-221669-uokr4mjq 284 22 of of IN cord-221669-uokr4mjq 284 23 COVID-19 covid-19 CD cord-221669-uokr4mjq 284 24 in in IN cord-221669-uokr4mjq 284 25 each each DT cord-221669-uokr4mjq 284 26 country country NN cord-221669-uokr4mjq 284 27 , , , cord-221669-uokr4mjq 284 28 both both CC cord-221669-uokr4mjq 284 29 during during IN cord-221669-uokr4mjq 284 30 the the DT cord-221669-uokr4mjq 284 31 period period NN cord-221669-uokr4mjq 284 32 of of IN cord-221669-uokr4mjq 284 33 10 10 CD cord-221669-uokr4mjq 284 34 - - SYM cord-221669-uokr4mjq 284 35 13 13 CD cord-221669-uokr4mjq 284 36 Mar Mar NNP cord-221669-uokr4mjq 284 37 2020 2020 CD cord-221669-uokr4mjq 284 38 . . . cord-221669-uokr4mjq 285 1 In in IN cord-221669-uokr4mjq 285 2 both both DT cord-221669-uokr4mjq 285 3 countries country NNS cord-221669-uokr4mjq 285 4 this this DT cord-221669-uokr4mjq 285 5 early early JJ cord-221669-uokr4mjq 285 6 outbreak outbreak NN cord-221669-uokr4mjq 285 7 was be VBD cord-221669-uokr4mjq 285 8 rapidly rapidly RB cord-221669-uokr4mjq 285 9 suppressed suppress VBN cord-221669-uokr4mjq 285 10 , , , cord-221669-uokr4mjq 285 11 presumably presumably RB cord-221669-uokr4mjq 285 12 through through IN cord-221669-uokr4mjq 285 13 contact contact NN cord-221669-uokr4mjq 285 14 tracing tracing NN cord-221669-uokr4mjq 285 15 and and CC cord-221669-uokr4mjq 285 16 quarantine quarantine NN cord-221669-uokr4mjq 285 17 . . . cord-221669-uokr4mjq 286 1 We -PRON- PRP cord-221669-uokr4mjq 286 2 found find VBD cord-221669-uokr4mjq 286 3 that that IN cord-221669-uokr4mjq 286 4 the the DT cord-221669-uokr4mjq 286 5 cpd cpd NNP cord-221669-uokr4mjq 286 6 data datum NNS cord-221669-uokr4mjq 286 7 from from IN cord-221669-uokr4mjq 286 8 Denmark Denmark NNP cord-221669-uokr4mjq 286 9 and and CC cord-221669-uokr4mjq 286 10 Norway Norway NNP cord-221669-uokr4mjq 286 11 could could MD cord-221669-uokr4mjq 286 12 be be VB cord-221669-uokr4mjq 286 13 described describe VBN cord-221669-uokr4mjq 286 14 by by IN cord-221669-uokr4mjq 286 15 using use VBG cord-221669-uokr4mjq 286 16 Eq.(37 Eq.(37 NNP cord-221669-uokr4mjq 286 17 ) ) -RRB- cord-221669-uokr4mjq 286 18 to to TO cord-221669-uokr4mjq 286 19 represent represent VB cord-221669-uokr4mjq 286 20 two two CD cord-221669-uokr4mjq 286 21 independent independent JJ cord-221669-uokr4mjq 286 22 outbreaks outbreak NNS cord-221669-uokr4mjq 286 23 , , , cord-221669-uokr4mjq 286 24 a a DT cord-221669-uokr4mjq 286 25 short short JJ cord-221669-uokr4mjq 286 26 , , , cord-221669-uokr4mjq 286 27 early early JJ cord-221669-uokr4mjq 286 28 one one CD cord-221669-uokr4mjq 286 29 , , , cord-221669-uokr4mjq 286 30 with with IN cord-221669-uokr4mjq 286 31 a a DT cord-221669-uokr4mjq 286 32 very very RB cord-221669-uokr4mjq 286 33 short short JJ cord-221669-uokr4mjq 286 34 τ τ NN cord-221669-uokr4mjq 286 35 ≈ ≈ NNP cord-221669-uokr4mjq 286 36 1.2 1.2 CD cord-221669-uokr4mjq 286 37 [ [ -LRB- cord-221669-uokr4mjq 286 38 days day NNS cord-221669-uokr4mjq 286 39 ] ] -RRB- cord-221669-uokr4mjq 286 40 , , , cord-221669-uokr4mjq 286 41 and and CC cord-221669-uokr4mjq 286 42 a a DT cord-221669-uokr4mjq 286 43 dominant dominant JJ cord-221669-uokr4mjq 286 44 second second JJ cord-221669-uokr4mjq 286 45 outbreak outbreak NN cord-221669-uokr4mjq 286 46 , , , cord-221669-uokr4mjq 286 47 with with IN cord-221669-uokr4mjq 286 48 the the DT cord-221669-uokr4mjq 286 49 more more RBR cord-221669-uokr4mjq 286 50 typical typical JJ cord-221669-uokr4mjq 286 51 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 286 52 parameters parameter NNS cord-221669-uokr4mjq 286 53 listed list VBN cord-221669-uokr4mjq 286 54 in in IN cord-221669-uokr4mjq 286 55 Table Table NNP cord-221669-uokr4mjq 286 56 . . . cord-221669-uokr4mjq 287 1 I. I. NNP cord-221669-uokr4mjq 288 1 The the DT cord-221669-uokr4mjq 288 2 resulting result VBG cord-221669-uokr4mjq 288 3 two two CD cord-221669-uokr4mjq 288 4 - - HYPH cord-221669-uokr4mjq 288 5 peak peak NN cord-221669-uokr4mjq 288 6 fit fit NN cord-221669-uokr4mjq 288 7 for for IN cord-221669-uokr4mjq 288 8 Norway Norway NNP cord-221669-uokr4mjq 288 9 is be VBZ cord-221669-uokr4mjq 288 10 shown show VBN cord-221669-uokr4mjq 288 11 in in IN cord-221669-uokr4mjq 288 12 Fig.10 Fig.10 NNP cord-221669-uokr4mjq 288 13 [ [ -LRB- cord-221669-uokr4mjq 288 14 11 11 CD cord-221669-uokr4mjq 288 15 ] ] -RRB- cord-221669-uokr4mjq 288 16 . . . cord-221669-uokr4mjq 288 17 . . . cord-221669-uokr4mjq 289 1 The the DT cord-221669-uokr4mjq 289 2 total total JJ cord-221669-uokr4mjq 289 3 cases case NNS cord-221669-uokr4mjq 289 4 predicted predict VBN cord-221669-uokr4mjq 289 5 for for IN cord-221669-uokr4mjq 289 6 Denmark Denmark NNP cord-221669-uokr4mjq 289 7 and and CC cord-221669-uokr4mjq 289 8 for for IN cord-221669-uokr4mjq 289 9 Norway Norway NNP cord-221669-uokr4mjq 289 10 are be VBP cord-221669-uokr4mjq 289 11 simply simply RB cord-221669-uokr4mjq 289 12 the the DT cord-221669-uokr4mjq 289 13 sum sum NN cord-221669-uokr4mjq 289 14 of of IN cord-221669-uokr4mjq 289 15 the the DT cord-221669-uokr4mjq 289 16 early early JJ cord-221669-uokr4mjq 289 17 and and CC cord-221669-uokr4mjq 289 18 later later JJ cord-221669-uokr4mjq 289 19 peaks peak NNS cord-221669-uokr4mjq 289 20 , , , cord-221669-uokr4mjq 289 21 thus thus RB cord-221669-uokr4mjq 289 22 11.01k 11.01k CD cord-221669-uokr4mjq 289 23 and and CC cord-221669-uokr4mjq 289 24 7.72k 7.72k CD cord-221669-uokr4mjq 289 25 cases case NNS cord-221669-uokr4mjq 289 26 respectively respectively RB cord-221669-uokr4mjq 289 27 . . . cord-221669-uokr4mjq 290 1 The the DT cord-221669-uokr4mjq 290 2 idea idea NN cord-221669-uokr4mjq 290 3 of of IN cord-221669-uokr4mjq 290 4 simultaneously simultaneously RB cord-221669-uokr4mjq 290 5 fitting fit VBG cord-221669-uokr4mjq 290 6 multiple multiple JJ cord-221669-uokr4mjq 290 7 countries country NNS cord-221669-uokr4mjq 290 8 to to IN cord-221669-uokr4mjq 290 9 the the DT cord-221669-uokr4mjq 290 10 SHIR SHIR NNP cord-221669-uokr4mjq 290 11 model model NN cord-221669-uokr4mjq 290 12 seems seem VBZ cord-221669-uokr4mjq 290 13 appealing appealing JJ cord-221669-uokr4mjq 290 14 , , , cord-221669-uokr4mjq 290 15 particularly particularly RB cord-221669-uokr4mjq 290 16 as as IN cord-221669-uokr4mjq 290 17 this this DT cord-221669-uokr4mjq 290 18 model model NN cord-221669-uokr4mjq 290 19 gives give VBZ cord-221669-uokr4mjq 290 20 a a DT cord-221669-uokr4mjq 290 21 good good JJ cord-221669-uokr4mjq 290 22 description description NN cord-221669-uokr4mjq 290 23 of of IN cord-221669-uokr4mjq 290 24 the the DT cord-221669-uokr4mjq 290 25 case case NN cord-221669-uokr4mjq 290 26 numbers number NNS cord-221669-uokr4mjq 290 27 from from IN cord-221669-uokr4mjq 290 28 many many JJ cord-221669-uokr4mjq 290 29 different different JJ cord-221669-uokr4mjq 290 30 European european JJ cord-221669-uokr4mjq 290 31 countries country NNS cord-221669-uokr4mjq 290 32 . . . cord-221669-uokr4mjq 291 1 Unfortunately unfortunately RB cord-221669-uokr4mjq 291 2 there there EX cord-221669-uokr4mjq 291 3 are be VBP cord-221669-uokr4mjq 291 4 complications complication NNS cord-221669-uokr4mjq 291 5 with with IN cord-221669-uokr4mjq 291 6 this this DT cord-221669-uokr4mjq 291 7 procedure procedure NN cord-221669-uokr4mjq 291 8 ; ; , cord-221669-uokr4mjq 291 9 individual individual JJ cord-221669-uokr4mjq 291 10 countries country NNS cord-221669-uokr4mjq 291 11 vary vary VBP cord-221669-uokr4mjq 291 12 considerably considerably RB cord-221669-uokr4mjq 291 13 in in IN cord-221669-uokr4mjq 291 14 the the DT cord-221669-uokr4mjq 291 15 fitted fit VBN cord-221669-uokr4mjq 291 16 values value NNS cord-221669-uokr4mjq 291 17 of of IN cord-221669-uokr4mjq 291 18 the the DT cord-221669-uokr4mjq 291 19 total total JJ cord-221669-uokr4mjq 291 20 cases case NNS cord-221669-uokr4mjq 291 21 P p NN cord-221669-uokr4mjq 291 22 max max NN cord-221669-uokr4mjq 291 23 , , , cord-221669-uokr4mjq 291 24 the the DT cord-221669-uokr4mjq 291 25 characteristic characteristic JJ cord-221669-uokr4mjq 291 26 social social JJ cord-221669-uokr4mjq 291 27 response response NN cord-221669-uokr4mjq 291 28 time time NN cord-221669-uokr4mjq 291 29 τ τ NN cord-221669-uokr4mjq 291 30 , , , cord-221669-uokr4mjq 291 31 and and CC cord-221669-uokr4mjq 291 32 the the DT cord-221669-uokr4mjq 291 33 local local JJ cord-221669-uokr4mjq 291 34 time time NN cord-221669-uokr4mjq 291 35 of of IN cord-221669-uokr4mjq 291 36 the the DT cord-221669-uokr4mjq 291 37 pandemic pandemic NN cord-221669-uokr4mjq 291 38 peak peak NN cord-221669-uokr4mjq 291 39 , , , cord-221669-uokr4mjq 291 40 t t NN cord-221669-uokr4mjq 291 41 0 0 CD cord-221669-uokr4mjq 291 42 . . . cord-221669-uokr4mjq 292 1 These these DT cord-221669-uokr4mjq 292 2 differences difference NNS cord-221669-uokr4mjq 292 3 suggest suggest VBP cord-221669-uokr4mjq 292 4 a a DT cord-221669-uokr4mjq 292 5 scaling scale VBG cord-221669-uokr4mjq 292 6 approach approach NN cord-221669-uokr4mjq 292 7 , , , cord-221669-uokr4mjq 292 8 in in IN cord-221669-uokr4mjq 292 9 which which WDT cord-221669-uokr4mjq 292 10 we -PRON- PRP cord-221669-uokr4mjq 292 11 determine determine VBP cord-221669-uokr4mjq 292 12 these these DT cord-221669-uokr4mjq 292 13 parameters parameter NNS cord-221669-uokr4mjq 292 14 separately separately RB cord-221669-uokr4mjq 292 15 for for IN cord-221669-uokr4mjq 292 16 each each DT cord-221669-uokr4mjq 292 17 country country NN cord-221669-uokr4mjq 292 18 in in IN cord-221669-uokr4mjq 292 19 a a DT cord-221669-uokr4mjq 292 20 SHIR SHIR NNP cord-221669-uokr4mjq 292 21 model model NN cord-221669-uokr4mjq 292 22 fit fit NN cord-221669-uokr4mjq 292 23 , , , cord-221669-uokr4mjq 292 24 and and CC cord-221669-uokr4mjq 292 25 then then RB cord-221669-uokr4mjq 292 26 translate translate VB cord-221669-uokr4mjq 292 27 ( ( -LRB- cord-221669-uokr4mjq 292 28 by by IN cord-221669-uokr4mjq 292 29 t t NN cord-221669-uokr4mjq 292 30 0 0 CD cord-221669-uokr4mjq 292 31 ) ) -RRB- cord-221669-uokr4mjq 292 32 and and CC cord-221669-uokr4mjq 292 33 scale scale NN cord-221669-uokr4mjq 292 34 ( ( -LRB- cord-221669-uokr4mjq 292 35 by by IN cord-221669-uokr4mjq 292 36 P p NN cord-221669-uokr4mjq 292 37 max max NN cord-221669-uokr4mjq 292 38 and and CC cord-221669-uokr4mjq 292 39 τ τ NN cord-221669-uokr4mjq 292 40 ) ) -RRB- cord-221669-uokr4mjq 293 1 the the DT cord-221669-uokr4mjq 293 2 datasets dataset NNS cord-221669-uokr4mjq 293 3 for for IN cord-221669-uokr4mjq 293 4 each each DT cord-221669-uokr4mjq 293 5 country country NN cord-221669-uokr4mjq 293 6 separately separately RB cord-221669-uokr4mjq 293 7 . . . cord-221669-uokr4mjq 294 1 If if IN cord-221669-uokr4mjq 294 2 the the DT cord-221669-uokr4mjq 294 3 model model NN cord-221669-uokr4mjq 294 4 and and CC cord-221669-uokr4mjq 294 5 the the DT cord-221669-uokr4mjq 294 6 data datum NNS cord-221669-uokr4mjq 294 7 are be VBP cord-221669-uokr4mjq 294 8 both both DT cord-221669-uokr4mjq 294 9 accurate accurate JJ cord-221669-uokr4mjq 294 10 , , , cord-221669-uokr4mjq 294 11 these these DT cord-221669-uokr4mjq 294 12 translated translate VBD cord-221669-uokr4mjq 294 13 and and CC cord-221669-uokr4mjq 294 14 scaled scale VBN cord-221669-uokr4mjq 294 15 datasets dataset NNS cord-221669-uokr4mjq 294 16 should should MD cord-221669-uokr4mjq 294 17 provide provide VB cord-221669-uokr4mjq 294 18 points point NNS cord-221669-uokr4mjq 294 19 that that WDT cord-221669-uokr4mjq 294 20 fall fall VBP cord-221669-uokr4mjq 294 21 on on IN cord-221669-uokr4mjq 294 22 the the DT cord-221669-uokr4mjq 294 23 universal universal JJ cord-221669-uokr4mjq 294 24 curves curve NNS cord-221669-uokr4mjq 294 25 shown show VBN cord-221669-uokr4mjq 294 26 in in IN cord-221669-uokr4mjq 294 27 Figs.5 Figs.5 NNP cord-221669-uokr4mjq 294 28 and and CC cord-221669-uokr4mjq 294 29 6 6 CD cord-221669-uokr4mjq 294 30 . . . cord-221669-uokr4mjq 295 1 Of of RB cord-221669-uokr4mjq 295 2 course course RB cord-221669-uokr4mjq 295 3 there there EX cord-221669-uokr4mjq 295 4 are be VBP cord-221669-uokr4mjq 295 5 indications indication NNS cord-221669-uokr4mjq 295 6 that that IN cord-221669-uokr4mjq 295 7 the the DT cord-221669-uokr4mjq 295 8 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 295 9 data datum NNS cord-221669-uokr4mjq 295 10 itself -PRON- PRP cord-221669-uokr4mjq 295 11 is be VBZ cord-221669-uokr4mjq 295 12 occasionally occasionally RB cord-221669-uokr4mjq 295 13 problematic problematic JJ cord-221669-uokr4mjq 295 14 , , , cord-221669-uokr4mjq 295 15 with with IN cord-221669-uokr4mjq 295 16 considerable considerable JJ cord-221669-uokr4mjq 295 17 scatter scatter NN cord-221669-uokr4mjq 295 18 , , , cord-221669-uokr4mjq 295 19 single single JJ cord-221669-uokr4mjq 295 20 - - HYPH cord-221669-uokr4mjq 295 21 bin bin NN cord-221669-uokr4mjq 295 22 spikes spike NNS cord-221669-uokr4mjq 295 23 , , , cord-221669-uokr4mjq 295 24 and and CC cord-221669-uokr4mjq 295 25 in in IN cord-221669-uokr4mjq 295 26 some some DT cord-221669-uokr4mjq 295 27 countries country NNS cord-221669-uokr4mjq 295 28 a a DT cord-221669-uokr4mjq 295 29 modulation modulation NN cord-221669-uokr4mjq 295 30 with with IN cord-221669-uokr4mjq 295 31 a a DT cord-221669-uokr4mjq 295 32 7-day 7-day JJ cord-221669-uokr4mjq 295 33 period period NN cord-221669-uokr4mjq 295 34 that that WDT cord-221669-uokr4mjq 295 35 may may MD cord-221669-uokr4mjq 295 36 reflect reflect VB cord-221669-uokr4mjq 295 37 a a DT cord-221669-uokr4mjq 295 38 weekly weekly JJ cord-221669-uokr4mjq 295 39 reporting reporting NN cord-221669-uokr4mjq 295 40 regimen regimen NN cord-221669-uokr4mjq 295 41 . . . cord-221669-uokr4mjq 296 1 Nonetheless nonetheless RB cord-221669-uokr4mjq 296 2 it -PRON- PRP cord-221669-uokr4mjq 296 3 is be VBZ cord-221669-uokr4mjq 296 4 of of IN cord-221669-uokr4mjq 296 5 interest interest NN cord-221669-uokr4mjq 296 6 to to TO cord-221669-uokr4mjq 296 7 generate generate VB cord-221669-uokr4mjq 296 8 this this DT cord-221669-uokr4mjq 296 9 translated translate VBN cord-221669-uokr4mjq 296 10 and and CC cord-221669-uokr4mjq 296 11 scaled scale VBN cord-221669-uokr4mjq 296 12 scatterplot scatterplot NNP cord-221669-uokr4mjq 296 13 , , , cord-221669-uokr4mjq 296 14 to to TO cord-221669-uokr4mjq 296 15 see see VB cord-221669-uokr4mjq 296 16 whether whether IN cord-221669-uokr4mjq 296 17 a a DT cord-221669-uokr4mjq 296 18 common common JJ cord-221669-uokr4mjq 296 19 pandemic pandemic NN cord-221669-uokr4mjq 296 20 profile profile NN cord-221669-uokr4mjq 296 21 is be VBZ cord-221669-uokr4mjq 296 22 indeed indeed RB cord-221669-uokr4mjq 296 23 evident evident JJ cord-221669-uokr4mjq 296 24 in in IN cord-221669-uokr4mjq 296 25 the the DT cord-221669-uokr4mjq 296 26 European european JJ cord-221669-uokr4mjq 296 27 data datum NNS cord-221669-uokr4mjq 296 28 . . . cord-221669-uokr4mjq 297 1 This this DT cord-221669-uokr4mjq 297 2 scatterplot scatterplot NN cord-221669-uokr4mjq 297 3 is be VBZ cord-221669-uokr4mjq 297 4 shown show VBN cord-221669-uokr4mjq 297 5 in in IN cord-221669-uokr4mjq 297 6 Fig.11 fig.11 NN cord-221669-uokr4mjq 297 7 for for IN cord-221669-uokr4mjq 297 8 the the DT cord-221669-uokr4mjq 297 9 82-point 82-point CD cord-221669-uokr4mjq 297 10 cpd cpd NNP cord-221669-uokr4mjq 297 11 datasets dataset NNS cord-221669-uokr4mjq 297 12 of of IN cord-221669-uokr4mjq 297 13 all all DT cord-221669-uokr4mjq 297 14 15 15 CD cord-221669-uokr4mjq 297 15 European european JJ cord-221669-uokr4mjq 297 16 countries country NNS cord-221669-uokr4mjq 297 17 in in IN cord-221669-uokr4mjq 297 18 Table Table NNP cord-221669-uokr4mjq 297 19 . . . cord-221669-uokr4mjq 298 1 I. I. NNP cord-221669-uokr4mjq 299 1 Each each DT cord-221669-uokr4mjq 299 2 national national JJ cord-221669-uokr4mjq 299 3 dataset dataset NN cord-221669-uokr4mjq 299 4 was be VBD cord-221669-uokr4mjq 299 5 translated translate VBN cord-221669-uokr4mjq 299 6 and and CC cord-221669-uokr4mjq 299 7 scaled scale VBN cord-221669-uokr4mjq 299 8 separately separately RB cord-221669-uokr4mjq 299 9 by by IN cord-221669-uokr4mjq 299 10 its -PRON- PRP$ cord-221669-uokr4mjq 299 11 particular particular JJ cord-221669-uokr4mjq 299 12 values value NNS cord-221669-uokr4mjq 299 13 of of IN cord-221669-uokr4mjq 299 14 t t NN cord-221669-uokr4mjq 299 15 0 0 CD cord-221669-uokr4mjq 299 16 , , , cord-221669-uokr4mjq 299 17 P p NN cord-221669-uokr4mjq 299 18 max max NN cord-221669-uokr4mjq 299 19 , , , cord-221669-uokr4mjq 299 20 and and CC cord-221669-uokr4mjq 299 21 τ τ NN cord-221669-uokr4mjq 299 22 ( ( -LRB- cord-221669-uokr4mjq 299 23 as as IN cord-221669-uokr4mjq 299 24 given give VBN cord-221669-uokr4mjq 299 25 in in IN cord-221669-uokr4mjq 299 26 the the DT cord-221669-uokr4mjq 299 27 table table NN cord-221669-uokr4mjq 299 28 ) ) -RRB- cord-221669-uokr4mjq 299 29 before before IN cord-221669-uokr4mjq 299 30 being be VBG cord-221669-uokr4mjq 299 31 added add VBN cord-221669-uokr4mjq 299 32 to to IN cord-221669-uokr4mjq 299 33 this this DT cord-221669-uokr4mjq 299 34 figure figure NN cord-221669-uokr4mjq 299 35 . . . cord-221669-uokr4mjq 300 1 The the DT cord-221669-uokr4mjq 300 2 data datum NNS cord-221669-uokr4mjq 300 3 from from IN cord-221669-uokr4mjq 300 4 Denmark Denmark NNP cord-221669-uokr4mjq 300 5 and and CC cord-221669-uokr4mjq 300 6 Norway Norway NNP cord-221669-uokr4mjq 300 7 before before IN cord-221669-uokr4mjq 300 8 20 20 CD cord-221669-uokr4mjq 300 9 Mar Mar NNP cord-221669-uokr4mjq 300 10 2020 2020 CD cord-221669-uokr4mjq 300 11 was be VBD cord-221669-uokr4mjq 300 12 excluded exclude VBN cord-221669-uokr4mjq 300 13 from from IN cord-221669-uokr4mjq 300 14 the the DT cord-221669-uokr4mjq 300 15 plot plot NN cord-221669-uokr4mjq 300 16 , , , cord-221669-uokr4mjq 300 17 to to TO cord-221669-uokr4mjq 300 18 suppress suppress VB cord-221669-uokr4mjq 300 19 contributions contribution NNS cord-221669-uokr4mjq 300 20 from from IN cord-221669-uokr4mjq 300 21 their -PRON- PRP$ cord-221669-uokr4mjq 300 22 initial initial JJ cord-221669-uokr4mjq 300 23 early early JJ cord-221669-uokr4mjq 300 24 outbreaks outbreak NNS cord-221669-uokr4mjq 300 25 . . . cord-221669-uokr4mjq 301 1 Table table NN cord-221669-uokr4mjq 301 2 . . . cord-221669-uokr4mjq 302 1 I -PRON- PRP cord-221669-uokr4mjq 302 2 , , , cord-221669-uokr4mjq 302 3 translated translate VBD cord-221669-uokr4mjq 302 4 and and CC cord-221669-uokr4mjq 302 5 scaled scale VBN cord-221669-uokr4mjq 302 6 to to TO cord-221669-uokr4mjq 302 7 fit fit VB cord-221669-uokr4mjq 302 8 on on IN cord-221669-uokr4mjq 302 9 the the DT cord-221669-uokr4mjq 302 10 universal universal JJ cord-221669-uokr4mjq 302 11 plot plot NN cord-221669-uokr4mjq 302 12 for for IN cord-221669-uokr4mjq 302 13 dP dP NNP cord-221669-uokr4mjq 302 14 / / SYM cord-221669-uokr4mjq 302 15 dt dt NNP cord-221669-uokr4mjq 302 16 , , , cord-221669-uokr4mjq 302 17 Fig.6 Fig.6 NNP cord-221669-uokr4mjq 302 18 . . . cord-221669-uokr4mjq 303 1 The the DT cord-221669-uokr4mjq 303 2 ( ( -LRB- cord-221669-uokr4mjq 303 3 parameterfree parameterfree NNP cord-221669-uokr4mjq 303 4 ) ) -RRB- cord-221669-uokr4mjq 303 5 SHIR SHIR NNP cord-221669-uokr4mjq 303 6 model model NN cord-221669-uokr4mjq 303 7 prediction prediction NN cord-221669-uokr4mjq 303 8 for for IN cord-221669-uokr4mjq 303 9 dP dP NNP cord-221669-uokr4mjq 303 10 / / SYM cord-221669-uokr4mjq 303 11 dt dt NNP cord-221669-uokr4mjq 303 12 , , , cord-221669-uokr4mjq 303 13 Eq.(46 Eq.(46 NNP cord-221669-uokr4mjq 303 14 ) ) -RRB- cord-221669-uokr4mjq 303 15 , , , cord-221669-uokr4mjq 303 16 is be VBZ cord-221669-uokr4mjq 303 17 shown show VBN cord-221669-uokr4mjq 303 18 as as IN cord-221669-uokr4mjq 303 19 a a DT cord-221669-uokr4mjq 303 20 solid solid JJ cord-221669-uokr4mjq 303 21 line line NN cord-221669-uokr4mjq 303 22 in in IN cord-221669-uokr4mjq 303 23 this this DT cord-221669-uokr4mjq 303 24 figure figure NN cord-221669-uokr4mjq 303 25 . . . cord-221669-uokr4mjq 304 1 The the DT cord-221669-uokr4mjq 304 2 scaled scale VBN cord-221669-uokr4mjq 304 3 , , , cord-221669-uokr4mjq 304 4 centered center VBN cord-221669-uokr4mjq 304 5 universal universal JJ cord-221669-uokr4mjq 304 6 curve curve NN cord-221669-uokr4mjq 304 7 for for IN cord-221669-uokr4mjq 304 8 dP dP NNP cord-221669-uokr4mjq 304 9 / / SYM cord-221669-uokr4mjq 304 10 dt dt NN cord-221669-uokr4mjq 304 11 is be VBZ cord-221669-uokr4mjq 304 12 shown show VBN cord-221669-uokr4mjq 304 13 as as IN cord-221669-uokr4mjq 304 14 a a DT cord-221669-uokr4mjq 304 15 solid solid JJ cord-221669-uokr4mjq 304 16 line line NN cord-221669-uokr4mjq 304 17 in in IN cord-221669-uokr4mjq 304 18 Fig.11 fig.11 NN cord-221669-uokr4mjq 304 19 , , , cord-221669-uokr4mjq 304 20 and and CC cord-221669-uokr4mjq 304 21 is be VBZ cord-221669-uokr4mjq 304 22 given give VBN cord-221669-uokr4mjq 304 23 by by IN cord-221669-uokr4mjq 304 24 dP dP NNP cord-221669-uokr4mjq 304 25 dt dt NNP cord-221669-uokr4mjq 305 1 We -PRON- PRP cord-221669-uokr4mjq 305 2 can can MD cord-221669-uokr4mjq 305 3 use use VB cord-221669-uokr4mjq 305 4 this this DT cord-221669-uokr4mjq 305 5 scatterplot scatterplot NN cord-221669-uokr4mjq 305 6 to to TO cord-221669-uokr4mjq 305 7 combine combine VB cord-221669-uokr4mjq 305 8 the the DT cord-221669-uokr4mjq 305 9 data datum NNS cord-221669-uokr4mjq 305 10 from from IN cord-221669-uokr4mjq 305 11 the the DT cord-221669-uokr4mjq 305 12 15 15 CD cord-221669-uokr4mjq 305 13 European european JJ cord-221669-uokr4mjq 305 14 countries country NNS cord-221669-uokr4mjq 305 15 we -PRON- PRP cord-221669-uokr4mjq 305 16 have have VBP cord-221669-uokr4mjq 305 17 considered consider VBN cord-221669-uokr4mjq 305 18 , , , cord-221669-uokr4mjq 305 19 since since IN cord-221669-uokr4mjq 305 20 they -PRON- PRP cord-221669-uokr4mjq 305 21 have have VBP cord-221669-uokr4mjq 305 22 now now RB cord-221669-uokr4mjq 305 23 been be VBN cord-221669-uokr4mjq 305 24 superimposed superimpose VBN cord-221669-uokr4mjq 305 25 through through IN cord-221669-uokr4mjq 305 26 translating translate VBG cord-221669-uokr4mjq 305 27 in in IN cord-221669-uokr4mjq 305 28 time time NN cord-221669-uokr4mjq 305 29 and and CC cord-221669-uokr4mjq 305 30 scaling scale VBG cord-221669-uokr4mjq 305 31 both both DT cord-221669-uokr4mjq 305 32 axes axis NNS cord-221669-uokr4mjq 305 33 . . . cord-221669-uokr4mjq 306 1 On on IN cord-221669-uokr4mjq 306 2 binning binning NN cord-221669-uokr4mjq 306 3 in in IN cord-221669-uokr4mjq 306 4 the the DT cord-221669-uokr4mjq 306 5 scaled scale VBN cord-221669-uokr4mjq 306 6 time time NN cord-221669-uokr4mjq 306 7 variable variable NN cord-221669-uokr4mjq 306 8 ( ( -LRB- cord-221669-uokr4mjq 306 9 t t NN cord-221669-uokr4mjq 306 10 − − NN cord-221669-uokr4mjq 306 11 t t NN cord-221669-uokr4mjq 306 12 0 0 CD cord-221669-uokr4mjq 306 13 ) ) -RRB- cord-221669-uokr4mjq 306 14 /τ /τ . cord-221669-uokr4mjq 306 15 , , , cord-221669-uokr4mjq 306 16 we -PRON- PRP cord-221669-uokr4mjq 306 17 can can MD cord-221669-uokr4mjq 306 18 calculate calculate VB cord-221669-uokr4mjq 306 19 the the DT cord-221669-uokr4mjq 306 20 average average NN cord-221669-uokr4mjq 306 21 and and CC cord-221669-uokr4mjq 306 22 variance variance NN cord-221669-uokr4mjq 306 23 of of IN cord-221669-uokr4mjq 306 24 the the DT cord-221669-uokr4mjq 306 25 scaled scale VBN cord-221669-uokr4mjq 306 26 cpd cpd NNP cord-221669-uokr4mjq 306 27 datapoints datapoint NNS cord-221669-uokr4mjq 306 28 in in IN cord-221669-uokr4mjq 306 29 each each DT cord-221669-uokr4mjq 306 30 bin bin NN cord-221669-uokr4mjq 306 31 , , , cord-221669-uokr4mjq 306 32 which which WDT cord-221669-uokr4mjq 306 33 provides provide VBZ cord-221669-uokr4mjq 306 34 an an DT cord-221669-uokr4mjq 306 35 average average NN cord-221669-uokr4mjq 306 36 and and CC cord-221669-uokr4mjq 306 37 error error NN cord-221669-uokr4mjq 306 38 for for IN cord-221669-uokr4mjq 306 39 dP dP NNP cord-221669-uokr4mjq 306 40 / / SYM cord-221669-uokr4mjq 306 41 dt dt NN cord-221669-uokr4mjq 306 42 at at IN cord-221669-uokr4mjq 306 43 that that DT cord-221669-uokr4mjq 306 44 value value NN cord-221669-uokr4mjq 306 45 of of IN cord-221669-uokr4mjq 306 46 ( ( -LRB- cord-221669-uokr4mjq 306 47 t t NN cord-221669-uokr4mjq 306 48 − − NN cord-221669-uokr4mjq 306 49 t t NN cord-221669-uokr4mjq 306 50 0 0 CD cord-221669-uokr4mjq 306 51 ) ) -RRB- cord-221669-uokr4mjq 306 52 /τ /τ . cord-221669-uokr4mjq 306 53 . . . cord-221669-uokr4mjq 307 1 As as IN cord-221669-uokr4mjq 307 2 an an DT cord-221669-uokr4mjq 307 3 example example NN cord-221669-uokr4mjq 307 4 , , , cord-221669-uokr4mjq 307 5 we -PRON- PRP cord-221669-uokr4mjq 307 6 have have VBP cord-221669-uokr4mjq 307 7 used use VBN cord-221669-uokr4mjq 307 8 bins bin NNS cord-221669-uokr4mjq 307 9 of of IN cord-221669-uokr4mjq 307 10 width width NN cord-221669-uokr4mjq 307 11 ∆(t ∆(t NNP cord-221669-uokr4mjq 307 12 − − NNP cord-221669-uokr4mjq 307 13 t t NN cord-221669-uokr4mjq 307 14 0 0 CD cord-221669-uokr4mjq 307 15 ) ) -RRB- cord-221669-uokr4mjq 307 16 /τ /τ . cord-221669-uokr4mjq 308 1 = = NFP cord-221669-uokr4mjq 309 1 0.5 0.5 CD cord-221669-uokr4mjq 309 2 , , , cord-221669-uokr4mjq 309 3 centered center VBN cord-221669-uokr4mjq 309 4 on on IN cord-221669-uokr4mjq 309 5 t t NNP cord-221669-uokr4mjq 309 6 − − NNP cord-221669-uokr4mjq 309 7 t t NN cord-221669-uokr4mjq 309 8 0 0 CD cord-221669-uokr4mjq 309 9 = = SYM cord-221669-uokr4mjq 309 10 0 0 CD cord-221669-uokr4mjq 309 11 , , , cord-221669-uokr4mjq 309 12 which which WDT cord-221669-uokr4mjq 309 13 gives give VBZ cord-221669-uokr4mjq 309 14 the the DT cord-221669-uokr4mjq 309 15 result result NN cord-221669-uokr4mjq 309 16 shown show VBN cord-221669-uokr4mjq 309 17 in in IN cord-221669-uokr4mjq 309 18 Fig.12 Fig.12 NNP cord-221669-uokr4mjq 309 19 . . . cord-221669-uokr4mjq 310 1 This this DT cord-221669-uokr4mjq 310 2 appears appear VBZ cord-221669-uokr4mjq 310 3 approximately approximately RB cord-221669-uokr4mjq 310 4 consistent consistent JJ cord-221669-uokr4mjq 310 5 with with IN cord-221669-uokr4mjq 310 6 the the DT cord-221669-uokr4mjq 310 7 parameter parameter NN cord-221669-uokr4mjq 310 8 - - HYPH cord-221669-uokr4mjq 310 9 free free JJ cord-221669-uokr4mjq 310 10 SHIR SHIR NNP cord-221669-uokr4mjq 310 11 model model NN cord-221669-uokr4mjq 310 12 result result NN cord-221669-uokr4mjq 310 13 for for IN cord-221669-uokr4mjq 310 14 dP dP NNP cord-221669-uokr4mjq 310 15 / / SYM cord-221669-uokr4mjq 310 16 dt dt NNP cord-221669-uokr4mjq 310 17 ( ( -LRB- cord-221669-uokr4mjq 310 18 46 46 CD cord-221669-uokr4mjq 310 19 ) ) -RRB- cord-221669-uokr4mjq 310 20 , , , cord-221669-uokr4mjq 310 21 although although IN cord-221669-uokr4mjq 310 22 there there EX cord-221669-uokr4mjq 310 23 may may MD cord-221669-uokr4mjq 310 24 be be VB cord-221669-uokr4mjq 310 25 relatively relatively RB cord-221669-uokr4mjq 310 26 minor minor JJ cord-221669-uokr4mjq 310 27 discrepancies discrepancy NNS cord-221669-uokr4mjq 310 28 at at IN cord-221669-uokr4mjq 310 29 onset onset NN cord-221669-uokr4mjq 310 30 ( ( -LRB- cord-221669-uokr4mjq 310 31 ( ( -LRB- cord-221669-uokr4mjq 310 32 t t NN cord-221669-uokr4mjq 310 33 − − NN cord-221669-uokr4mjq 310 34 t t NN cord-221669-uokr4mjq 310 35 0 0 CD cord-221669-uokr4mjq 310 36 ) ) -RRB- cord-221669-uokr4mjq 310 37 /τ /τ . cord-221669-uokr4mjq 311 1 ≈ ≈ NNP cord-221669-uokr4mjq 311 2 −2 −2 NNP cord-221669-uokr4mjq 311 3 ) ) -RRB- cord-221669-uokr4mjq 312 1 and and CC cord-221669-uokr4mjq 312 2 well well RB cord-221669-uokr4mjq 312 3 after after IN cord-221669-uokr4mjq 312 4 peak peak NN cord-221669-uokr4mjq 312 5 The the DT cord-221669-uokr4mjq 312 6 Europe Europe NNP cord-221669-uokr4mjq 312 7 - - HYPH cord-221669-uokr4mjq 312 8 averaged average VBD cord-221669-uokr4mjq 313 1 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 313 2 data datum NNS cord-221669-uokr4mjq 313 3 for for IN cord-221669-uokr4mjq 313 4 the the DT cord-221669-uokr4mjq 313 5 new new JJ cord-221669-uokr4mjq 313 6 cases case NNS cord-221669-uokr4mjq 313 7 per per IN cord-221669-uokr4mjq 313 8 day day NN cord-221669-uokr4mjq 313 9 shown show VBN cord-221669-uokr4mjq 313 10 as as IN cord-221669-uokr4mjq 313 11 points point NNS cord-221669-uokr4mjq 313 12 with with IN cord-221669-uokr4mjq 313 13 errors error NNS cord-221669-uokr4mjq 313 14 in in IN cord-221669-uokr4mjq 313 15 Fig.12 Fig.12 NNP cord-221669-uokr4mjq 313 16 can can MD cord-221669-uokr4mjq 313 17 be be VB cord-221669-uokr4mjq 313 18 used use VBN cord-221669-uokr4mjq 313 19 to to TO cord-221669-uokr4mjq 313 20 calculate calculate VB cord-221669-uokr4mjq 313 21 expectation expectation NN cord-221669-uokr4mjq 313 22 values value NNS cord-221669-uokr4mjq 313 23 under under IN cord-221669-uokr4mjq 313 24 this this DT cord-221669-uokr4mjq 313 25 common common JJ cord-221669-uokr4mjq 313 26 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 313 27 dP dP NNP cord-221669-uokr4mjq 313 28 / / SYM cord-221669-uokr4mjq 313 29 dt dt NN cord-221669-uokr4mjq 313 30 distribution distribution NN cord-221669-uokr4mjq 313 31 . . . cord-221669-uokr4mjq 314 1 Some some DT cord-221669-uokr4mjq 314 2 of of IN cord-221669-uokr4mjq 314 3 these these DT cord-221669-uokr4mjq 314 4 results result NNS cord-221669-uokr4mjq 314 5 are be VBP cord-221669-uokr4mjq 314 6 given give VBN cord-221669-uokr4mjq 314 7 in in IN cord-221669-uokr4mjq 314 8 Table Table NNP cord-221669-uokr4mjq 314 9 . . . cord-221669-uokr4mjq 315 1 III III NNP cord-221669-uokr4mjq 315 2 , , , cord-221669-uokr4mjq 315 3 where where WRB cord-221669-uokr4mjq 315 4 they -PRON- PRP cord-221669-uokr4mjq 315 5 are be VBP cord-221669-uokr4mjq 315 6 compared compare VBN cord-221669-uokr4mjq 315 7 to to IN cord-221669-uokr4mjq 315 8 theoretical theoretical JJ cord-221669-uokr4mjq 315 9 values value NNS cord-221669-uokr4mjq 315 10 predicted predict VBN cord-221669-uokr4mjq 315 11 by by IN cord-221669-uokr4mjq 315 12 the the DT cord-221669-uokr4mjq 315 13 SHIR SHIR NNP cord-221669-uokr4mjq 315 14 model model NN cord-221669-uokr4mjq 315 15 dP dP NNP cord-221669-uokr4mjq 315 16 / / SYM cord-221669-uokr4mjq 315 17 dt dt NNP cord-221669-uokr4mjq 315 18 , , , cord-221669-uokr4mjq 315 19 Eq.(46 Eq.(46 NNP cord-221669-uokr4mjq 315 20 ) ) -RRB- cord-221669-uokr4mjq 315 21 . . . cord-221669-uokr4mjq 316 1 Evidently evidently RB cord-221669-uokr4mjq 316 2 the the DT cord-221669-uokr4mjq 316 3 simpler simple JJR cord-221669-uokr4mjq 316 4 expected expect VBN cord-221669-uokr4mjq 316 5 values value NNS cord-221669-uokr4mjq 316 6 are be VBP cord-221669-uokr4mjq 316 7 in in IN cord-221669-uokr4mjq 316 8 reasonably reasonably RB cord-221669-uokr4mjq 316 9 good good JJ cord-221669-uokr4mjq 316 10 agreement agreement NN cord-221669-uokr4mjq 316 11 , , , cord-221669-uokr4mjq 316 12 notably notably RB cord-221669-uokr4mjq 316 13 the the DT cord-221669-uokr4mjq 316 14 displaced displace VBN cord-221669-uokr4mjq 316 15 value value NN cord-221669-uokr4mjq 316 16 of of IN cord-221669-uokr4mjq 316 17 the the DT cord-221669-uokr4mjq 316 18 mean mean NN cord-221669-uokr4mjq 316 19 from from IN cord-221669-uokr4mjq 316 20 the the DT cord-221669-uokr4mjq 316 21 maximum maximum NN cord-221669-uokr4mjq 316 22 . . . cord-221669-uokr4mjq 317 1 There there EX cord-221669-uokr4mjq 317 2 is be VBZ cord-221669-uokr4mjq 317 3 however however RB cord-221669-uokr4mjq 317 4 a a DT cord-221669-uokr4mjq 317 5 discrepancy discrepancy NN cord-221669-uokr4mjq 317 6 in in IN cord-221669-uokr4mjq 317 7 the the DT cord-221669-uokr4mjq 317 8 cubic cubic JJ cord-221669-uokr4mjq 317 9 expected expect VBN cord-221669-uokr4mjq 317 10 values value NNS cord-221669-uokr4mjq 317 11 , , , cord-221669-uokr4mjq 317 12 which which WDT cord-221669-uokr4mjq 317 13 are be VBP cord-221669-uokr4mjq 317 14 sensitive sensitive JJ cord-221669-uokr4mjq 317 15 to to IN cord-221669-uokr4mjq 317 16 the the DT cord-221669-uokr4mjq 317 17 relatively relatively RB cord-221669-uokr4mjq 317 18 less less RBR cord-221669-uokr4mjq 317 19 well well RB cord-221669-uokr4mjq 317 20 determined determined JJ cord-221669-uokr4mjq 317 21 wings wing NNS cord-221669-uokr4mjq 317 22 of of IN cord-221669-uokr4mjq 317 23 the the DT cord-221669-uokr4mjq 317 24 distribution distribution NN cord-221669-uokr4mjq 317 25 at at IN cord-221669-uokr4mjq 317 26 larger large JJR cord-221669-uokr4mjq 317 27 |t |t IN cord-221669-uokr4mjq 317 28 − − CD cord-221669-uokr4mjq 317 29 t t NN cord-221669-uokr4mjq 317 30 0 0 CD cord-221669-uokr4mjq 317 31 |/τ |/τ CD cord-221669-uokr4mjq 317 32 . . . cord-221669-uokr4mjq 318 1 Fig.12 Fig.12 NNS cord-221669-uokr4mjq 318 2 . . . cord-221669-uokr4mjq 319 1 Here here RB cord-221669-uokr4mjq 319 2 for for IN cord-221669-uokr4mjq 319 3 simplicity simplicity NN cord-221669-uokr4mjq 319 4 we -PRON- PRP cord-221669-uokr4mjq 319 5 abbreviate abbreviate VBP cord-221669-uokr4mjq 319 6 ( ( -LRB- cord-221669-uokr4mjq 320 1 t t NNP cord-221669-uokr4mjq 320 2 − − NNP cord-221669-uokr4mjq 320 3 t0)/τ t0)/τ NNP cord-221669-uokr4mjq 320 4 = = SYM cord-221669-uokr4mjq 320 5 x. x. NN cord-221669-uokr4mjq 321 1 We -PRON- PRP cord-221669-uokr4mjq 321 2 have have VBP cord-221669-uokr4mjq 321 3 shown show VBN cord-221669-uokr4mjq 321 4 that that IN cord-221669-uokr4mjq 321 5 a a DT cord-221669-uokr4mjq 321 6 SHIR SHIR NNP cord-221669-uokr4mjq 321 7 ( ( -LRB- cord-221669-uokr4mjq 321 8 generalized generalize VBN cord-221669-uokr4mjq 321 9 SIR SIR NNP cord-221669-uokr4mjq 321 10 ) ) -RRB- cord-221669-uokr4mjq 321 11 model model NN cord-221669-uokr4mjq 321 12 and and CC cord-221669-uokr4mjq 321 13 its -PRON- PRP$ cord-221669-uokr4mjq 321 14 associated associate VBN cord-221669-uokr4mjq 321 15 differential differential JJ cord-221669-uokr4mjq 321 16 equations equation NNS cord-221669-uokr4mjq 321 17 give give VBP cord-221669-uokr4mjq 321 18 rather rather RB cord-221669-uokr4mjq 321 19 good good JJ cord-221669-uokr4mjq 321 20 closed closed JJ cord-221669-uokr4mjq 321 21 - - HYPH cord-221669-uokr4mjq 321 22 form form NN cord-221669-uokr4mjq 321 23 results result NNS cord-221669-uokr4mjq 321 24 for for IN cord-221669-uokr4mjq 321 25 the the DT cord-221669-uokr4mjq 321 26 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 321 27 data datum NNS cord-221669-uokr4mjq 321 28 on on IN cord-221669-uokr4mjq 321 29 new new JJ cord-221669-uokr4mjq 321 30 cases case NNS cord-221669-uokr4mjq 321 31 per per IN cord-221669-uokr4mjq 321 32 day day NN cord-221669-uokr4mjq 321 33 and and CC cord-221669-uokr4mjq 321 34 cumulative cumulative JJ cord-221669-uokr4mjq 321 35 cases case NNS cord-221669-uokr4mjq 321 36 , , , cord-221669-uokr4mjq 321 37 when when WRB cord-221669-uokr4mjq 321 38 solved solve VBN cord-221669-uokr4mjq 321 39 under under IN cord-221669-uokr4mjq 321 40 certain certain JJ cord-221669-uokr4mjq 321 41 assumptions assumption NNS cord-221669-uokr4mjq 321 42 . . . cord-221669-uokr4mjq 322 1 These these DT cord-221669-uokr4mjq 322 2 assumptions assumption NNS cord-221669-uokr4mjq 322 3 can can MD cord-221669-uokr4mjq 322 4 be be VB cord-221669-uokr4mjq 322 5 relaxed relax VBN cord-221669-uokr4mjq 322 6 in in IN cord-221669-uokr4mjq 322 7 future future JJ cord-221669-uokr4mjq 322 8 studies study NNS cord-221669-uokr4mjq 322 9 . . . cord-221669-uokr4mjq 323 1 One one CD cord-221669-uokr4mjq 323 2 important important JJ cord-221669-uokr4mjq 323 3 assumption assumption NN cord-221669-uokr4mjq 323 4 was be VBD cord-221669-uokr4mjq 323 5 to to TO cord-221669-uokr4mjq 323 6 ignore ignore VB cord-221669-uokr4mjq 323 7 the the DT cord-221669-uokr4mjq 323 8 effects effect NNS cord-221669-uokr4mjq 323 9 of of IN cord-221669-uokr4mjq 323 10 the the DT cord-221669-uokr4mjq 323 11 " " `` cord-221669-uokr4mjq 323 12 resolved resolve VBN cord-221669-uokr4mjq 323 13 " " `` cord-221669-uokr4mjq 323 14 population population NN cord-221669-uokr4mjq 323 15 fraction fraction NN cord-221669-uokr4mjq 323 16 f f NNP cord-221669-uokr4mjq 323 17 R r NN cord-221669-uokr4mjq 323 18 . . . cord-221669-uokr4mjq 324 1 This this DT cord-221669-uokr4mjq 324 2 quantity quantity NN cord-221669-uokr4mjq 324 3 , , , cord-221669-uokr4mjq 324 4 which which WDT cord-221669-uokr4mjq 324 5 is be VBZ cord-221669-uokr4mjq 324 6 certainly certainly RB cord-221669-uokr4mjq 324 7 of of IN cord-221669-uokr4mjq 324 8 interest interest NN cord-221669-uokr4mjq 324 9 in in IN cord-221669-uokr4mjq 324 10 planning plan VBG cord-221669-uokr4mjq 324 11 economic economic JJ cord-221669-uokr4mjq 324 12 recovery recovery NN cord-221669-uokr4mjq 324 13 , , , cord-221669-uokr4mjq 324 14 is be VBZ cord-221669-uokr4mjq 324 15 simple simple JJ cord-221669-uokr4mjq 324 16 to to TO cord-221669-uokr4mjq 324 17 evaluate evaluate VB cord-221669-uokr4mjq 324 18 from from IN cord-221669-uokr4mjq 324 19 the the DT cord-221669-uokr4mjq 324 20 " " `` cord-221669-uokr4mjq 324 21 infected infected JJ cord-221669-uokr4mjq 324 22 " " '' cord-221669-uokr4mjq 324 23 fraction fraction NN cord-221669-uokr4mjq 324 24 we -PRON- PRP cord-221669-uokr4mjq 324 25 have have VBP cord-221669-uokr4mjq 324 26 discussed discuss VBN cord-221669-uokr4mjq 324 27 here here RB cord-221669-uokr4mjq 324 28 ; ; : cord-221669-uokr4mjq 324 29 it -PRON- PRP cord-221669-uokr4mjq 324 30 is be VBZ cord-221669-uokr4mjq 324 31 simply simply RB cord-221669-uokr4mjq 324 32 the the DT cord-221669-uokr4mjq 324 33 integral integral JJ cord-221669-uokr4mjq 324 34 in in IN cord-221669-uokr4mjq 324 35 Eq.10 Eq.10 NNP cord-221669-uokr4mjq 324 36 . . . cord-221669-uokr4mjq 325 1 This this DT cord-221669-uokr4mjq 325 2 can can MD cord-221669-uokr4mjq 325 3 be be VB cord-221669-uokr4mjq 325 4 evaluated evaluate VBN cord-221669-uokr4mjq 325 5 analytically analytically RB cord-221669-uokr4mjq 325 6 , , , cord-221669-uokr4mjq 325 7 together together RB cord-221669-uokr4mjq 325 8 with with IN cord-221669-uokr4mjq 325 9 the the DT cord-221669-uokr4mjq 325 10 full full JJ cord-221669-uokr4mjq 325 11 DE DE NNP cord-221669-uokr4mjq 325 12 for for IN cord-221669-uokr4mjq 325 13 f f NNP cord-221669-uokr4mjq 325 14 I I NNP cord-221669-uokr4mjq 325 15 , , , cord-221669-uokr4mjq 325 16 including include VBG cord-221669-uokr4mjq 325 17 the the DT cord-221669-uokr4mjq 325 18 r r NNP cord-221669-uokr4mjq 325 19 R r NN cord-221669-uokr4mjq 325 20 term term NN cord-221669-uokr4mjq 325 21 , , , cord-221669-uokr4mjq 325 22 to to TO cord-221669-uokr4mjq 325 23 accommodate accommodate VB cord-221669-uokr4mjq 325 24 transitions transition NNS cord-221669-uokr4mjq 325 25 out out IN cord-221669-uokr4mjq 325 26 of of IN cord-221669-uokr4mjq 325 27 " " `` cord-221669-uokr4mjq 325 28 infected infected JJ cord-221669-uokr4mjq 325 29 " " '' cord-221669-uokr4mjq 325 30 and and CC cord-221669-uokr4mjq 325 31 into into IN cord-221669-uokr4mjq 325 32 " " `` cord-221669-uokr4mjq 325 33 resolved resolve VBN cord-221669-uokr4mjq 325 34 . . . cord-221669-uokr4mjq 326 1 " " `` cord-221669-uokr4mjq 326 2 The the DT cord-221669-uokr4mjq 326 3 cumulative cumulative JJ cord-221669-uokr4mjq 326 4 case case NN cord-221669-uokr4mjq 326 5 numbers number NNS cord-221669-uokr4mjq 326 6 P(t P(t NNP cord-221669-uokr4mjq 326 7 ) ) -RRB- cord-221669-uokr4mjq 326 8 discussed discuss VBD cord-221669-uokr4mjq 326 9 in in IN cord-221669-uokr4mjq 326 10 relation relation NN cord-221669-uokr4mjq 326 11 to to IN cord-221669-uokr4mjq 326 12 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 326 13 data datum NNS cord-221669-uokr4mjq 326 14 should should MD cord-221669-uokr4mjq 326 15 then then RB cord-221669-uokr4mjq 326 16 be be VB cord-221669-uokr4mjq 326 17 defined define VBN cord-221669-uokr4mjq 326 18 by by IN cord-221669-uokr4mjq 326 19 P(t p(t NN cord-221669-uokr4mjq 326 20 ) ) -RRB- cord-221669-uokr4mjq 327 1 = = NFP cord-221669-uokr4mjq 328 1 N n NN cord-221669-uokr4mjq 328 2 0 0 CD cord-221669-uokr4mjq 328 3 ( ( -LRB- cord-221669-uokr4mjq 329 1 f f LS cord-221669-uokr4mjq 329 2 I i NN cord-221669-uokr4mjq 329 3 + + CC cord-221669-uokr4mjq 329 4 f f NN cord-221669-uokr4mjq 329 5 R r NN cord-221669-uokr4mjq 329 6 ) ) -RRB- cord-221669-uokr4mjq 329 7 , , , cord-221669-uokr4mjq 329 8 i.e. i.e. FW cord-221669-uokr4mjq 329 9 " " `` cord-221669-uokr4mjq 329 10 infected infect VBN cord-221669-uokr4mjq 329 11 " " '' cord-221669-uokr4mjq 329 12 plus plus CC cord-221669-uokr4mjq 329 13 " " '' cord-221669-uokr4mjq 329 14 resolved resolve VBN cord-221669-uokr4mjq 329 15 , , , cord-221669-uokr4mjq 329 16 " " '' cord-221669-uokr4mjq 329 17 since since IN cord-221669-uokr4mjq 329 18 f f NNP cord-221669-uokr4mjq 329 19 R r NN cord-221669-uokr4mjq 329 20 is be VBZ cord-221669-uokr4mjq 329 21 no no RB cord-221669-uokr4mjq 329 22 longer long RBR cord-221669-uokr4mjq 329 23 assumed assume VBN cord-221669-uokr4mjq 329 24 to to TO cord-221669-uokr4mjq 329 25 be be VB cord-221669-uokr4mjq 329 26 negligible negligible JJ cord-221669-uokr4mjq 329 27 . . . cord-221669-uokr4mjq 330 1 Calculations calculation NNS cord-221669-uokr4mjq 330 2 of of IN cord-221669-uokr4mjq 330 3 mortality mortality NN cord-221669-uokr4mjq 330 4 rates rate NNS cord-221669-uokr4mjq 330 5 are be VBP cord-221669-uokr4mjq 330 6 certainly certainly RB cord-221669-uokr4mjq 330 7 of of IN cord-221669-uokr4mjq 330 8 interest interest NN cord-221669-uokr4mjq 330 9 , , , cord-221669-uokr4mjq 330 10 and and CC cord-221669-uokr4mjq 330 11 are be VBP cord-221669-uokr4mjq 330 12 implicitly implicitly RB cord-221669-uokr4mjq 330 13 included include VBN cord-221669-uokr4mjq 330 14 in in IN cord-221669-uokr4mjq 330 15 the the DT cord-221669-uokr4mjq 330 16 transition transition NN cord-221669-uokr4mjq 330 17 from from IN cord-221669-uokr4mjq 330 18 the the DT cord-221669-uokr4mjq 330 19 infected infected JJ cord-221669-uokr4mjq 330 20 population population NN cord-221669-uokr4mjq 330 21 I -PRON- PRP cord-221669-uokr4mjq 330 22 ( ( -LRB- cord-221669-uokr4mjq 330 23 or or CC cord-221669-uokr4mjq 330 24 I I NNP cord-221669-uokr4mjq 330 25 S S NNP cord-221669-uokr4mjq 330 26 ) ) -RRB- cord-221669-uokr4mjq 330 27 to to IN cord-221669-uokr4mjq 330 28 the the DT cord-221669-uokr4mjq 330 29 resolved resolve VBN cord-221669-uokr4mjq 330 30 population population NN cord-221669-uokr4mjq 330 31 R. R. NNP cord-221669-uokr4mjq 330 32 Mortality Mortality NNP cord-221669-uokr4mjq 330 33 can can MD cord-221669-uokr4mjq 330 34 easily easily RB cord-221669-uokr4mjq 330 35 be be VB cord-221669-uokr4mjq 330 36 treated treat VBN cord-221669-uokr4mjq 330 37 separately separately RB cord-221669-uokr4mjq 330 38 , , , cord-221669-uokr4mjq 330 39 for for IN cord-221669-uokr4mjq 330 40 example example NN cord-221669-uokr4mjq 330 41 by by IN cord-221669-uokr4mjq 330 42 specifying specify VBG cord-221669-uokr4mjq 330 43 separate separate JJ cord-221669-uokr4mjq 330 44 I i NN cord-221669-uokr4mjq 330 45 → → IN cord-221669-uokr4mjq 330 46 R r NN cord-221669-uokr4mjq 330 47 rate rate NN cord-221669-uokr4mjq 330 48 parameters parameter NNS cord-221669-uokr4mjq 330 49 for for IN cord-221669-uokr4mjq 330 50 mortality mortality NN cord-221669-uokr4mjq 330 51 and and CC cord-221669-uokr4mjq 330 52 for for IN cord-221669-uokr4mjq 330 53 recovery recovery NN cord-221669-uokr4mjq 330 54 . . . cord-221669-uokr4mjq 331 1 In in IN cord-221669-uokr4mjq 331 2 the the DT cord-221669-uokr4mjq 331 3 extended extended JJ cord-221669-uokr4mjq 331 4 SHIR SHIR NNP cord-221669-uokr4mjq 331 5 model model NN cord-221669-uokr4mjq 331 6 of of IN cord-221669-uokr4mjq 331 7 Fig.13 fig.13 NN cord-221669-uokr4mjq 331 8 , , , cord-221669-uokr4mjq 331 9 mortality mortality NN cord-221669-uokr4mjq 331 10 would would MD cord-221669-uokr4mjq 331 11 presumably presumably RB cord-221669-uokr4mjq 331 12 only only RB cord-221669-uokr4mjq 331 13 contribute contribute VB cord-221669-uokr4mjq 331 14 to to IN cord-221669-uokr4mjq 331 15 the the DT cord-221669-uokr4mjq 331 16 combined combine VBN cord-221669-uokr4mjq 331 17 rate rate NN cord-221669-uokr4mjq 331 18 for for IN cord-221669-uokr4mjq 331 19 I -PRON- PRP cord-221669-uokr4mjq 332 1 S S NNP cord-221669-uokr4mjq 333 1 → → IN cord-221669-uokr4mjq 333 2 R. R. NNP cord-221669-uokr4mjq 334 1 The the DT cord-221669-uokr4mjq 334 2 mortality mortality NN cord-221669-uokr4mjq 334 3 rate rate NN cord-221669-uokr4mjq 334 4 coefficients coefficient NNS cord-221669-uokr4mjq 334 5 may may MD cord-221669-uokr4mjq 334 6 of of IN cord-221669-uokr4mjq 334 7 course course NN cord-221669-uokr4mjq 334 8 depend depend VB cord-221669-uokr4mjq 334 9 strongly strongly RB cord-221669-uokr4mjq 334 10 on on IN cord-221669-uokr4mjq 334 11 the the DT cord-221669-uokr4mjq 334 12 procedures procedure NNS cord-221669-uokr4mjq 334 13 followed follow VBD cord-221669-uokr4mjq 334 14 at at IN cord-221669-uokr4mjq 334 15 each each DT cord-221669-uokr4mjq 334 16 country country NN cord-221669-uokr4mjq 334 17 's 's POS cord-221669-uokr4mjq 334 18 medical medical JJ cord-221669-uokr4mjq 334 19 facilities facility NNS cord-221669-uokr4mjq 334 20 . . . cord-221669-uokr4mjq 335 1 Numerical numerical JJ cord-221669-uokr4mjq 335 2 methods method NNS cord-221669-uokr4mjq 335 3 can can MD cord-221669-uokr4mjq 335 4 be be VB cord-221669-uokr4mjq 335 5 used use VBN cord-221669-uokr4mjq 335 6 to to TO cord-221669-uokr4mjq 335 7 extract extract VB cord-221669-uokr4mjq 335 8 SHIR SHIR NNP cord-221669-uokr4mjq 335 9 model model NN cord-221669-uokr4mjq 335 10 results result NNS cord-221669-uokr4mjq 335 11 for for IN cord-221669-uokr4mjq 335 12 the the DT cord-221669-uokr4mjq 335 13 full full JJ cord-221669-uokr4mjq 335 14 model model NN cord-221669-uokr4mjq 335 15 , , , cord-221669-uokr4mjq 335 16 including include VBG cord-221669-uokr4mjq 335 17 the the DT cord-221669-uokr4mjq 335 18 S S NNP cord-221669-uokr4mjq 335 19 − − NNP cord-221669-uokr4mjq 336 1 I -PRON- PRP cord-221669-uokr4mjq 336 2 quadratic quadratic JJ cord-221669-uokr4mjq 336 3 infection infection NN cord-221669-uokr4mjq 336 4 term term NN cord-221669-uokr4mjq 336 5 , , , cord-221669-uokr4mjq 336 6 and and CC cord-221669-uokr4mjq 336 7 can can MD cord-221669-uokr4mjq 336 8 test test VB cord-221669-uokr4mjq 336 9 the the DT cord-221669-uokr4mjq 336 10 importance importance NN cord-221669-uokr4mjq 336 11 of of IN cord-221669-uokr4mjq 336 12 the the DT cord-221669-uokr4mjq 336 13 " " `` cord-221669-uokr4mjq 336 14 small small JJ cord-221669-uokr4mjq 336 15 fraction fraction NN cord-221669-uokr4mjq 336 16 of of IN cord-221669-uokr4mjq 336 17 infections infection NNS cord-221669-uokr4mjq 336 18 " " '' cord-221669-uokr4mjq 336 19 approximation approximation NN cord-221669-uokr4mjq 336 20 used use VBN cord-221669-uokr4mjq 336 21 here here RB cord-221669-uokr4mjq 336 22 . . . cord-221669-uokr4mjq 337 1 A a DT cord-221669-uokr4mjq 337 2 straightforward straightforward JJ cord-221669-uokr4mjq 337 3 generalization generalization NN cord-221669-uokr4mjq 337 4 of of IN cord-221669-uokr4mjq 337 5 the the DT cord-221669-uokr4mjq 337 6 model model NN cord-221669-uokr4mjq 337 7 could could MD cord-221669-uokr4mjq 337 8 accommodate accommodate VB cord-221669-uokr4mjq 337 9 the the DT cord-221669-uokr4mjq 337 10 effect effect NN cord-221669-uokr4mjq 337 11 of of IN cord-221669-uokr4mjq 337 12 " " `` cord-221669-uokr4mjq 337 13 asymptomatic asymptomatic JJ cord-221669-uokr4mjq 337 14 " " '' cord-221669-uokr4mjq 337 15 infected infected JJ cord-221669-uokr4mjq 337 16 individuals individual NNS cord-221669-uokr4mjq 337 17 on on IN cord-221669-uokr4mjq 337 18 the the DT cord-221669-uokr4mjq 337 19 dynamics dynamic NNS cord-221669-uokr4mjq 337 20 of of IN cord-221669-uokr4mjq 337 21 the the DT cord-221669-uokr4mjq 337 22 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 337 23 pandemic pandemic NN cord-221669-uokr4mjq 337 24 . . . cord-221669-uokr4mjq 338 1 Recent recent JJ cord-221669-uokr4mjq 338 2 antibody antibody NN cord-221669-uokr4mjq 338 3 results result VBZ cord-221669-uokr4mjq 338 4 from from IN cord-221669-uokr4mjq 338 5 Italy Italy NNP cord-221669-uokr4mjq 338 6 [ [ -LRB- cord-221669-uokr4mjq 338 7 16 16 CD cord-221669-uokr4mjq 338 8 ] ] -RRB- cord-221669-uokr4mjq 338 9 suggest suggest VBP cord-221669-uokr4mjq 338 10 that that IN cord-221669-uokr4mjq 338 11 the the DT cord-221669-uokr4mjq 338 12 asymptomatic asymptomatic JJ cord-221669-uokr4mjq 338 13 cases case NNS cord-221669-uokr4mjq 338 14 are be VBP cord-221669-uokr4mjq 338 15 a a DT cord-221669-uokr4mjq 338 16 large large JJ cord-221669-uokr4mjq 338 17 but but CC cord-221669-uokr4mjq 338 18 not not RB cord-221669-uokr4mjq 338 19 dominant dominant JJ cord-221669-uokr4mjq 338 20 fraction fraction NN cord-221669-uokr4mjq 338 21 of of IN cord-221669-uokr4mjq 338 22 all all DT cord-221669-uokr4mjq 338 23 COVID-19 covid-19 JJ cord-221669-uokr4mjq 338 24 cases case NNS cord-221669-uokr4mjq 338 25 . . . cord-221669-uokr4mjq 339 1 Once once IN cord-221669-uokr4mjq 339 2 better well JJR cord-221669-uokr4mjq 339 3 data datum NNS cord-221669-uokr4mjq 339 4 on on IN cord-221669-uokr4mjq 339 5 the the DT cord-221669-uokr4mjq 339 6 number number NN cord-221669-uokr4mjq 339 7 of of IN cord-221669-uokr4mjq 339 8 asymptomatic asymptomatic JJ cord-221669-uokr4mjq 339 9 cases case NNS cord-221669-uokr4mjq 339 10 becomes become VBZ cord-221669-uokr4mjq 339 11 available available JJ cord-221669-uokr4mjq 339 12 , , , cord-221669-uokr4mjq 339 13 it -PRON- PRP cord-221669-uokr4mjq 339 14 may may MD cord-221669-uokr4mjq 339 15 prove prove VB cord-221669-uokr4mjq 339 16 useful useful JJ cord-221669-uokr4mjq 339 17 to to TO cord-221669-uokr4mjq 339 18 extend extend VB cord-221669-uokr4mjq 339 19 the the DT cord-221669-uokr4mjq 339 20 model model NN cord-221669-uokr4mjq 339 21 to to TO cord-221669-uokr4mjq 339 22 include include VB cord-221669-uokr4mjq 339 23 this this DT cord-221669-uokr4mjq 339 24 population population NN cord-221669-uokr4mjq 339 25 . . . cord-221669-uokr4mjq 340 1 This this DT cord-221669-uokr4mjq 340 2 group group NN cord-221669-uokr4mjq 340 3 follows follow VBZ cord-221669-uokr4mjq 340 4 a a DT cord-221669-uokr4mjq 340 5 progression progression NN cord-221669-uokr4mjq 340 6 S s NN cord-221669-uokr4mjq 341 1 → → XX cord-221669-uokr4mjq 342 1 I -PRON- PRP cord-221669-uokr4mjq 342 2 A a VBP cord-221669-uokr4mjq 342 3 → → SYM cord-221669-uokr4mjq 342 4 R r NN cord-221669-uokr4mjq 342 5 , , , cord-221669-uokr4mjq 342 6 and and CC cord-221669-uokr4mjq 342 7 while while IN cord-221669-uokr4mjq 342 8 in in IN cord-221669-uokr4mjq 342 9 the the DT cord-221669-uokr4mjq 342 10 I I NNP cord-221669-uokr4mjq 342 11 A a DT cord-221669-uokr4mjq 342 12 population population NN cord-221669-uokr4mjq 342 13 presumably presumably RB cord-221669-uokr4mjq 342 14 contributes contribute VBZ cord-221669-uokr4mjq 342 15 to to IN cord-221669-uokr4mjq 342 16 the the DT cord-221669-uokr4mjq 342 17 infection infection NN cord-221669-uokr4mjq 342 18 of of IN cord-221669-uokr4mjq 342 19 other other JJ cord-221669-uokr4mjq 342 20 individuals individual NNS cord-221669-uokr4mjq 342 21 still still RB cord-221669-uokr4mjq 342 22 in in IN cord-221669-uokr4mjq 342 23 S. S. NNP cord-221669-uokr4mjq 343 1 Although although IN cord-221669-uokr4mjq 343 2 adding add VBG cord-221669-uokr4mjq 343 3 this this DT cord-221669-uokr4mjq 343 4 branch branch NN cord-221669-uokr4mjq 343 5 to to IN cord-221669-uokr4mjq 343 6 the the DT cord-221669-uokr4mjq 343 7 model model NN cord-221669-uokr4mjq 343 8 may may MD cord-221669-uokr4mjq 343 9 indicate indicate VB cord-221669-uokr4mjq 343 10 that that IN cord-221669-uokr4mjq 343 11 the the DT cord-221669-uokr4mjq 343 12 fraction fraction NN cord-221669-uokr4mjq 343 13 of of IN cord-221669-uokr4mjq 343 14 resolved resolve VBN cord-221669-uokr4mjq 343 15 individuals individual NNS cord-221669-uokr4mjq 343 16 f f NN cord-221669-uokr4mjq 343 17 R r NN cord-221669-uokr4mjq 343 18 is be VBZ cord-221669-uokr4mjq 343 19 much much RB cord-221669-uokr4mjq 343 20 larger large JJR cord-221669-uokr4mjq 343 21 than than IN cord-221669-uokr4mjq 343 22 the the DT cord-221669-uokr4mjq 343 23 SHIR SHIR NNP cord-221669-uokr4mjq 343 24 model model NN cord-221669-uokr4mjq 343 25 alone alone RB cord-221669-uokr4mjq 343 26 suggests suggest VBZ cord-221669-uokr4mjq 343 27 , , , cord-221669-uokr4mjq 343 28 the the DT cord-221669-uokr4mjq 343 29 pathway pathway NN cord-221669-uokr4mjq 343 30 through through IN cord-221669-uokr4mjq 343 31 symptomatic symptomatic JJ cord-221669-uokr4mjq 343 32 cases case NNS cord-221669-uokr4mjq 343 33 will will MD cord-221669-uokr4mjq 343 34 remain remain VB cord-221669-uokr4mjq 343 35 as as IN cord-221669-uokr4mjq 343 36 before before RB cord-221669-uokr4mjq 343 37 . . . cord-221669-uokr4mjq 344 1 The the DT cord-221669-uokr4mjq 344 2 most most RBS cord-221669-uokr4mjq 344 3 visible visible JJ cord-221669-uokr4mjq 344 4 predictions prediction NNS cord-221669-uokr4mjq 344 5 of of IN cord-221669-uokr4mjq 344 6 the the DT cord-221669-uokr4mjq 344 7 model model NN cord-221669-uokr4mjq 344 8 , , , cord-221669-uokr4mjq 344 9 for for IN cord-221669-uokr4mjq 344 10 the the DT cord-221669-uokr4mjq 344 11 number number NN cord-221669-uokr4mjq 344 12 of of IN cord-221669-uokr4mjq 344 13 symptomatic symptomatic JJ cord-221669-uokr4mjq 344 14 cases case NNS cord-221669-uokr4mjq 344 15 ( ( -LRB- cord-221669-uokr4mjq 344 16 now now RB cord-221669-uokr4mjq 344 17 I I NNP cord-221669-uokr4mjq 344 18 S S NNP cord-221669-uokr4mjq 344 19 ) ) -RRB- cord-221669-uokr4mjq 344 20 , , , cord-221669-uokr4mjq 344 21 may may MD cord-221669-uokr4mjq 344 22 not not RB cord-221669-uokr4mjq 344 23 change change VB cord-221669-uokr4mjq 344 24 significantly significantly RB cord-221669-uokr4mjq 344 25 . . . cord-221669-uokr4mjq 345 1 A a DT cord-221669-uokr4mjq 345 2 block block NN cord-221669-uokr4mjq 345 3 diagram diagram NN cord-221669-uokr4mjq 345 4 of of IN cord-221669-uokr4mjq 345 5 this this DT cord-221669-uokr4mjq 345 6 extended extended JJ cord-221669-uokr4mjq 345 7 SHIR SHIR NNP cord-221669-uokr4mjq 345 8 model model NN cord-221669-uokr4mjq 345 9 is be VBZ cord-221669-uokr4mjq 345 10 shown show VBN cord-221669-uokr4mjq 345 11 in in IN cord-221669-uokr4mjq 345 12 Fig.13 Fig.13 NNP cord-221669-uokr4mjq 345 13 . . . cord-221669-uokr4mjq 346 1 Finally finally RB cord-221669-uokr4mjq 346 2 , , , cord-221669-uokr4mjq 346 3 although although IN cord-221669-uokr4mjq 346 4 we -PRON- PRP cord-221669-uokr4mjq 346 5 have have VBP cord-221669-uokr4mjq 346 6 primarily primarily RB cord-221669-uokr4mjq 346 7 considered consider VBN cord-221669-uokr4mjq 346 8 COVID-19 COVID-19 , cord-221669-uokr4mjq 346 9 in in IN cord-221669-uokr4mjq 346 10 Central central JJ cord-221669-uokr4mjq 346 11 and and CC cord-221669-uokr4mjq 346 12 Western western JJ cord-221669-uokr4mjq 346 13 European european JJ cord-221669-uokr4mjq 346 14 countries country NNS cord-221669-uokr4mjq 346 15 , , , cord-221669-uokr4mjq 346 16 largely largely RB cord-221669-uokr4mjq 346 17 because because IN cord-221669-uokr4mjq 346 18 of of IN cord-221669-uokr4mjq 346 19 an an DT cord-221669-uokr4mjq 346 20 assumed assume VBN cord-221669-uokr4mjq 346 21 similarity similarity NN cord-221669-uokr4mjq 346 22 in in IN cord-221669-uokr4mjq 346 23 standards standard NNS cord-221669-uokr4mjq 346 24 for for IN cord-221669-uokr4mjq 346 25 reporting report VBG cord-221669-uokr4mjq 346 26 data datum NNS cord-221669-uokr4mjq 346 27 , , , cord-221669-uokr4mjq 346 28 there there EX cord-221669-uokr4mjq 346 29 is be VBZ cord-221669-uokr4mjq 346 30 extensive extensive JJ cord-221669-uokr4mjq 346 31 data datum NNS cord-221669-uokr4mjq 346 32 available available JJ cord-221669-uokr4mjq 346 33 from from IN cord-221669-uokr4mjq 346 34 many many JJ cord-221669-uokr4mjq 346 35 other other JJ cord-221669-uokr4mjq 346 36 countries country NNS cord-221669-uokr4mjq 346 37 which which WDT cord-221669-uokr4mjq 346 38 could could MD cord-221669-uokr4mjq 346 39 be be VB cord-221669-uokr4mjq 346 40 addressed address VBN cord-221669-uokr4mjq 346 41 using use VBG cord-221669-uokr4mjq 346 42 this this DT cord-221669-uokr4mjq 346 43 type type NN cord-221669-uokr4mjq 346 44 of of IN cord-221669-uokr4mjq 346 45 model model NN cord-221669-uokr4mjq 346 46 , , , cord-221669-uokr4mjq 346 47 undoubtedly undoubtedly RB cord-221669-uokr4mjq 346 48 with with IN cord-221669-uokr4mjq 346 49 interesting interesting JJ cord-221669-uokr4mjq 346 50 results result NNS cord-221669-uokr4mjq 346 51 . . . cord-221669-uokr4mjq 346 52 _SP cord-221669-uokr4mjq 347 1 In in IN cord-221669-uokr4mjq 347 2 this this DT cord-221669-uokr4mjq 347 3 paper paper NN cord-221669-uokr4mjq 347 4 we -PRON- PRP cord-221669-uokr4mjq 347 5 have have VBP cord-221669-uokr4mjq 347 6 introduced introduce VBN cord-221669-uokr4mjq 347 7 a a DT cord-221669-uokr4mjq 347 8 generalization generalization NN cord-221669-uokr4mjq 347 9 of of IN cord-221669-uokr4mjq 347 10 the the DT cord-221669-uokr4mjq 347 11 SIR SIR NNP cord-221669-uokr4mjq 347 12 model model NN cord-221669-uokr4mjq 347 13 in in IN cord-221669-uokr4mjq 347 14 order order NN cord-221669-uokr4mjq 347 15 to to TO cord-221669-uokr4mjq 347 16 incorporate incorporate VB cord-221669-uokr4mjq 347 17 the the DT cord-221669-uokr4mjq 347 18 effects effect NNS cord-221669-uokr4mjq 347 19 of of IN cord-221669-uokr4mjq 347 20 pandemic pandemic NN cord-221669-uokr4mjq 347 21 reduction reduction NN cord-221669-uokr4mjq 347 22 measures measure NNS cord-221669-uokr4mjq 347 23 . . . cord-221669-uokr4mjq 348 1 This this DT cord-221669-uokr4mjq 348 2 " " `` cord-221669-uokr4mjq 348 3 SHIR SHIR NNP cord-221669-uokr4mjq 348 4 " " '' cord-221669-uokr4mjq 348 5 model model NN cord-221669-uokr4mjq 348 6 adds add VBZ cord-221669-uokr4mjq 348 7 a a DT cord-221669-uokr4mjq 348 8 rate rate NN cord-221669-uokr4mjq 348 9 process process NN cord-221669-uokr4mjq 348 10 that that WDT cord-221669-uokr4mjq 348 11 allows allow VBZ cord-221669-uokr4mjq 348 12 transitions transition NNS cord-221669-uokr4mjq 348 13 from from IN cord-221669-uokr4mjq 348 14 the the DT cord-221669-uokr4mjq 348 15 susceptible susceptible JJ cord-221669-uokr4mjq 348 16 population population NN cord-221669-uokr4mjq 348 17 ( ( -LRB- cord-221669-uokr4mjq 348 18 S s NN cord-221669-uokr4mjq 348 19 ) ) -RRB- cord-221669-uokr4mjq 348 20 to to IN cord-221669-uokr4mjq 348 21 a a DT cord-221669-uokr4mjq 348 22 new new JJ cord-221669-uokr4mjq 348 23 " " `` cord-221669-uokr4mjq 348 24 hidden hidden JJ cord-221669-uokr4mjq 348 25 " " '' cord-221669-uokr4mjq 348 26 population population NN cord-221669-uokr4mjq 348 27 ( ( -LRB- cord-221669-uokr4mjq 348 28 H H NNP cord-221669-uokr4mjq 348 29 ) ) -RRB- cord-221669-uokr4mjq 348 30 , , , cord-221669-uokr4mjq 348 31 which which WDT cord-221669-uokr4mjq 348 32 we -PRON- PRP cord-221669-uokr4mjq 348 33 assume assume VBP cord-221669-uokr4mjq 348 34 is be VBZ cord-221669-uokr4mjq 348 35 not not RB cord-221669-uokr4mjq 348 36 susceptible susceptible JJ cord-221669-uokr4mjq 348 37 to to IN cord-221669-uokr4mjq 348 38 infection infection NN cord-221669-uokr4mjq 348 39 . . . cord-221669-uokr4mjq 349 1 We -PRON- PRP cord-221669-uokr4mjq 349 2 have have VBP cord-221669-uokr4mjq 349 3 solved solve VBN cord-221669-uokr4mjq 349 4 this this DT cord-221669-uokr4mjq 349 5 model model NN cord-221669-uokr4mjq 349 6 analytically analytically RB cord-221669-uokr4mjq 349 7 in in IN cord-221669-uokr4mjq 349 8 the the DT cord-221669-uokr4mjq 349 9 limit limit NN cord-221669-uokr4mjq 349 10 of of IN cord-221669-uokr4mjq 349 11 a a DT cord-221669-uokr4mjq 349 12 small small JJ cord-221669-uokr4mjq 349 13 infected infected JJ cord-221669-uokr4mjq 349 14 population population NN cord-221669-uokr4mjq 349 15 fraction fraction NN cord-221669-uokr4mjq 349 16 , , , cord-221669-uokr4mjq 349 17 and and CC cord-221669-uokr4mjq 349 18 showed show VBD cord-221669-uokr4mjq 349 19 that that IN cord-221669-uokr4mjq 349 20 the the DT cord-221669-uokr4mjq 349 21 predicted predict VBN cord-221669-uokr4mjq 349 22 time time NN cord-221669-uokr4mjq 349 23 dependence dependence NN cord-221669-uokr4mjq 349 24 of of IN cord-221669-uokr4mjq 349 25 cumulative cumulative JJ cord-221669-uokr4mjq 349 26 cases case NNS cord-221669-uokr4mjq 349 27 and and CC cord-221669-uokr4mjq 349 28 new new JJ cord-221669-uokr4mjq 349 29 cases case NNS cord-221669-uokr4mjq 349 30 per per IN cord-221669-uokr4mjq 349 31 day day NN cord-221669-uokr4mjq 349 32 is be VBZ cord-221669-uokr4mjq 349 33 in in IN cord-221669-uokr4mjq 349 34 surprisingly surprisingly RB cord-221669-uokr4mjq 349 35 good good JJ cord-221669-uokr4mjq 349 36 agreement agreement NN cord-221669-uokr4mjq 349 37 with with IN cord-221669-uokr4mjq 349 38 COVID-19 COVID-19 NNP cord-221669-uokr4mjq 349 39 data datum NNS cord-221669-uokr4mjq 349 40 . . . cord-221669-uokr4mjq 350 1 ( ( -LRB- cord-221669-uokr4mjq 350 2 We -PRON- PRP cord-221669-uokr4mjq 350 3 primarily primarily RB cord-221669-uokr4mjq 350 4 considered consider VBD cord-221669-uokr4mjq 350 5 Central central JJ cord-221669-uokr4mjq 350 6 and and CC cord-221669-uokr4mjq 350 7 Western western JJ cord-221669-uokr4mjq 350 8 European european JJ cord-221669-uokr4mjq 350 9 countries country NNS cord-221669-uokr4mjq 350 10 in in IN cord-221669-uokr4mjq 350 11 this this DT cord-221669-uokr4mjq 350 12 study study NN cord-221669-uokr4mjq 350 13 . . . cord-221669-uokr4mjq 350 14 ) ) -RRB- cord-221669-uokr4mjq 351 1 The the DT cord-221669-uokr4mjq 351 2 solution solution NN cord-221669-uokr4mjq 351 3 of of IN cord-221669-uokr4mjq 351 4 the the DT cord-221669-uokr4mjq 351 5 model model NN cord-221669-uokr4mjq 351 6 with with IN cord-221669-uokr4mjq 351 7 our -PRON- PRP$ cord-221669-uokr4mjq 351 8 approximations approximation NNS cord-221669-uokr4mjq 351 9 involves involve VBZ cord-221669-uokr4mjq 351 10 three three CD cord-221669-uokr4mjq 351 11 free free JJ cord-221669-uokr4mjq 351 12 parameters parameter NNS cord-221669-uokr4mjq 351 13 ; ; : cord-221669-uokr4mjq 351 14 one one CD cord-221669-uokr4mjq 351 15 is be VBZ cord-221669-uokr4mjq 351 16 the the DT cord-221669-uokr4mjq 351 17 " " `` cord-221669-uokr4mjq 351 18 social social JJ cord-221669-uokr4mjq 351 19 response response NN cord-221669-uokr4mjq 351 20 time time NN cord-221669-uokr4mjq 351 21 " " '' cord-221669-uokr4mjq 351 22 τ τ NN cord-221669-uokr4mjq 351 23 , , , cord-221669-uokr4mjq 351 24 which which WDT cord-221669-uokr4mjq 351 25 varies vary VBZ cord-221669-uokr4mjq 351 26 widely widely RB cord-221669-uokr4mjq 351 27 between between IN cord-221669-uokr4mjq 351 28 countries country NNS cord-221669-uokr4mjq 351 29 , , , cord-221669-uokr4mjq 351 30 in in IN cord-221669-uokr4mjq 351 31 a a DT cord-221669-uokr4mjq 351 32 manner manner NN cord-221669-uokr4mjq 351 33 that that WDT cord-221669-uokr4mjq 351 34 correlates correlate VBZ cord-221669-uokr4mjq 351 35 with with IN cord-221669-uokr4mjq 351 36 their -PRON- PRP$ cord-221669-uokr4mjq 351 37 coronavirus coronavirus NN cord-221669-uokr4mjq 351 38 policies policy NNS cord-221669-uokr4mjq 351 39 . . . cord-221669-uokr4mjq 352 1 We -PRON- PRP cord-221669-uokr4mjq 352 2 are be VBP cord-221669-uokr4mjq 352 3 also also RB cord-221669-uokr4mjq 352 4 grateful grateful JJ cord-221669-uokr4mjq 352 5 to to IN cord-221669-uokr4mjq 353 1 E.S.Swanson E.S.Swanson NNP cord-221669-uokr4mjq 353 2 for for IN cord-221669-uokr4mjq 353 3 assistance assistance NN cord-221669-uokr4mjq 353 4 with with IN cord-221669-uokr4mjq 353 5 calculations calculation NNS cord-221669-uokr4mjq 353 6 of of IN cord-221669-uokr4mjq 353 7 expected expect VBN cord-221669-uokr4mjq 353 8 values value NNS cord-221669-uokr4mjq 353 9 and and CC cord-221669-uokr4mjq 353 10 errors error NNS cord-221669-uokr4mjq 353 11 in in IN cord-221669-uokr4mjq 353 12 the the DT cord-221669-uokr4mjq 353 13 SHIR SHIR NNP cord-221669-uokr4mjq 353 14 model model NN cord-221669-uokr4mjq 353 15 , , , cord-221669-uokr4mjq 353 16 and and CC cord-221669-uokr4mjq 353 17 with with IN cord-221669-uokr4mjq 353 18 the the DT cord-221669-uokr4mjq 353 19 model model NN cord-221669-uokr4mjq 353 20 block block NN cord-221669-uokr4mjq 353 21 diagrams diagram NNS cord-221669-uokr4mjq 353 22 . . . cord-221669-uokr4mjq 354 1 Dynamics dynamic NNS cord-221669-uokr4mjq 354 2 of of IN cord-221669-uokr4mjq 354 3 infectious infectious JJ cord-221669-uokr4mjq 354 4 diseases disease NNS cord-221669-uokr4mjq 355 1 In in IN cord-221669-uokr4mjq 355 2 this this DT cord-221669-uokr4mjq 355 3 simple simple JJ cord-221669-uokr4mjq 355 4 SIR SIR NNP cord-221669-uokr4mjq 355 5 model model VB cord-221669-uokr4mjq 355 6 the the DT cord-221669-uokr4mjq 355 7 time time NN cord-221669-uokr4mjq 355 8 at at IN cord-221669-uokr4mjq 355 9 which which WDT cord-221669-uokr4mjq 355 10 fI fI NNP cord-221669-uokr4mjq 355 11 is be VBZ cord-221669-uokr4mjq 355 12 a a DT cord-221669-uokr4mjq 355 13 maximum maximum NN cord-221669-uokr4mjq 355 14 and and CC cord-221669-uokr4mjq 355 15 that that IN cord-221669-uokr4mjq 355 16 maximum maximum JJ cord-221669-uokr4mjq 355 17 value value NN cord-221669-uokr4mjq 355 18 can can MD cord-221669-uokr4mjq 355 19 be be VB cord-221669-uokr4mjq 355 20 solved solve VBN cord-221669-uokr4mjq 355 21 for for IN cord-221669-uokr4mjq 355 22 analytically analytically RB cord-221669-uokr4mjq 355 23 , , , cord-221669-uokr4mjq 355 24 and and CC cord-221669-uokr4mjq 355 25 are be VBP cord-221669-uokr4mjq 355 26 respectively respectively RB cord-221669-uokr4mjq 355 27 t t NN cord-221669-uokr4mjq 355 28 = = SYM cord-221669-uokr4mjq 355 29 ln(rI ln(ri CD cord-221669-uokr4mjq 355 30 / / SYM cord-221669-uokr4mjq 355 31 rR)/(rI rr)/(ri NN cord-221669-uokr4mjq 355 32 − − NNP cord-221669-uokr4mjq 355 33 rR rR NNPS cord-221669-uokr4mjq 355 34 ) ) -RRB- cord-221669-uokr4mjq 355 35 and and CC cord-221669-uokr4mjq 355 36 fI fi NN cord-221669-uokr4mjq 355 37 = = FW cord-221669-uokr4mjq 355 38 ( ( -LRB- cord-221669-uokr4mjq 355 39 ρ/(ρ ρ/(ρ NNP cord-221669-uokr4mjq 355 40 − − NNP cord-221669-uokr4mjq 355 41 1))(ρ 1))(ρ NNP cord-221669-uokr4mjq 355 42 −1/(ρ−1 −1/(ρ−1 NNPS cord-221669-uokr4mjq 355 43 ) ) -RRB- cord-221669-uokr4mjq 355 44 − − NNP cord-221669-uokr4mjq 356 1 ρ ρ NFP cord-221669-uokr4mjq 356 2 −ρ −ρ CC cord-221669-uokr4mjq 356 3 A a DT cord-221669-uokr4mjq 356 4 contribution contribution NN cord-221669-uokr4mjq 356 5 to to IN cord-221669-uokr4mjq 356 6 the the DT cord-221669-uokr4mjq 356 7 mathematical mathematical JJ cord-221669-uokr4mjq 356 8 theory theory NN cord-221669-uokr4mjq 356 9 of of IN cord-221669-uokr4mjq 356 10 epidemics epidemic NNS cord-221669-uokr4mjq 356 11 Protected protect VBN cord-221669-uokr4mjq 356 12 groups group NNS cord-221669-uokr4mjq 356 13 similar similar JJ cord-221669-uokr4mjq 356 14 to to IN cord-221669-uokr4mjq 356 15 the the DT cord-221669-uokr4mjq 356 16 " " `` cord-221669-uokr4mjq 356 17 H H NNP cord-221669-uokr4mjq 356 18 " " '' cord-221669-uokr4mjq 356 19 box box NN cord-221669-uokr4mjq 356 20 of of IN cord-221669-uokr4mjq 356 21 Fig.2 Fig.2 NNP cord-221669-uokr4mjq 356 22 have have VBP cord-221669-uokr4mjq 356 23 previously previously RB cord-221669-uokr4mjq 356 24 been be VBN cord-221669-uokr4mjq 356 25 considered consider VBN cord-221669-uokr4mjq 356 26 in in IN cord-221669-uokr4mjq 356 27 generalizations generalization NNS cord-221669-uokr4mjq 356 28 of of IN cord-221669-uokr4mjq 356 29 the the DT cord-221669-uokr4mjq 356 30 SIR SIR NNP cord-221669-uokr4mjq 356 31 model model NN cord-221669-uokr4mjq 356 32 . . . cord-221669-uokr4mjq 357 1 For for IN cord-221669-uokr4mjq 357 2 example example NN cord-221669-uokr4mjq 357 3 , , , cord-221669-uokr4mjq 357 4 the the DT cord-221669-uokr4mjq 357 5 effects effect NNS cord-221669-uokr4mjq 357 6 of of IN cord-221669-uokr4mjq 357 7 vaccination vaccination NN cord-221669-uokr4mjq 357 8 are be VBP cord-221669-uokr4mjq 357 9 discussed discuss VBN cord-221669-uokr4mjq 357 10 using use VBG cord-221669-uokr4mjq 357 11 an an DT cord-221669-uokr4mjq 357 12 SIRV SIRV NNP cord-221669-uokr4mjq 357 13 model model NN cord-221669-uokr4mjq 357 14 [ [ -LRB- cord-221669-uokr4mjq 357 15 1 1 CD cord-221669-uokr4mjq 357 16 ] ] -RRB- cord-221669-uokr4mjq 357 17 , , , cord-221669-uokr4mjq 357 18 and and CC cord-221669-uokr4mjq 357 19 the the DT cord-221669-uokr4mjq 357 20 2003 2003 CD cord-221669-uokr4mjq 357 21 SARS SARS NNP cord-221669-uokr4mjq 357 22 model model NN cord-221669-uokr4mjq 357 23 of of IN cord-221669-uokr4mjq 357 24 Lipsitch Lipsitch NNP cord-221669-uokr4mjq 357 25 Transmission Transmission NNP cord-221669-uokr4mjq 357 26 Dynamics Dynamics NNPS cord-221669-uokr4mjq 357 27 and and CC cord-221669-uokr4mjq 357 28 Control Control NNP cord-221669-uokr4mjq 357 29 of of IN cord-221669-uokr4mjq 357 30 Severe Severe NNP cord-221669-uokr4mjq 357 31 Acute acute JJ cord-221669-uokr4mjq 357 32 Respiratory respiratory JJ cord-221669-uokr4mjq 357 33 Syndrome syndrome NN cord-221669-uokr4mjq 358 1 The the DT cord-221669-uokr4mjq 358 2 use use NN cord-221669-uokr4mjq 358 3 of of IN cord-221669-uokr4mjq 358 4 " " `` cord-221669-uokr4mjq 358 5 resolved resolve VBN cord-221669-uokr4mjq 358 6 " " '' cord-221669-uokr4mjq 358 7 for for IN cord-221669-uokr4mjq 358 8 the the DT cord-221669-uokr4mjq 358 9 post post JJ cord-221669-uokr4mjq 358 10 - - JJ cord-221669-uokr4mjq 358 11 infected infected JJ cord-221669-uokr4mjq 358 12 population population NN cord-221669-uokr4mjq 358 13 R r NN cord-221669-uokr4mjq 358 14 , , , cord-221669-uokr4mjq 358 15 the the DT cord-221669-uokr4mjq 358 16 sum sum NN cord-221669-uokr4mjq 358 17 of of IN cord-221669-uokr4mjq 358 18 deceased deceased JJ cord-221669-uokr4mjq 358 19 and and CC cord-221669-uokr4mjq 358 20 recovered recover VBN cord-221669-uokr4mjq 358 21 , , , cord-221669-uokr4mjq 358 22 was be VBD cord-221669-uokr4mjq 358 23 suggested suggest VBN cord-221669-uokr4mjq 358 24 by by IN cord-221669-uokr4mjq 358 25 P.Ardaury P.Ardaury NNP cord-221669-uokr4mjq 358 26 . . . cord-221669-uokr4mjq 359 1 This this DT cord-221669-uokr4mjq 359 2 population population NN cord-221669-uokr4mjq 359 3 is be VBZ cord-221669-uokr4mjq 359 4 also also RB cord-221669-uokr4mjq 359 5 referred refer VBN cord-221669-uokr4mjq 359 6 to to IN cord-221669-uokr4mjq 359 7 as as IN cord-221669-uokr4mjq 359 8 " " `` cord-221669-uokr4mjq 359 9 closed closed JJ cord-221669-uokr4mjq 359 10 cases case NNS cord-221669-uokr4mjq 359 11 Worldometer Worldometer NNP cord-221669-uokr4mjq 359 12 Coronavirus Coronavirus NNP cord-221669-uokr4mjq 359 13 Updates Updates NNPS cord-221669-uokr4mjq 359 14 On on IN cord-221669-uokr4mjq 359 15 the the DT cord-221669-uokr4mjq 359 16 Nature nature NN cord-221669-uokr4mjq 359 17 of of IN cord-221669-uokr4mjq 359 18 the the DT cord-221669-uokr4mjq 359 19 Function function NN cord-221669-uokr4mjq 359 20 Expressive expressive JJ cord-221669-uokr4mjq 359 21 of of IN cord-221669-uokr4mjq 359 22 the the DT cord-221669-uokr4mjq 359 23 Law Law NNP cord-221669-uokr4mjq 359 24 of of IN cord-221669-uokr4mjq 359 25 Human Human NNP cord-221669-uokr4mjq 359 26 Mortality Mortality NNP cord-221669-uokr4mjq 359 27 , , , cord-221669-uokr4mjq 359 28 and and CC cord-221669-uokr4mjq 359 29 on on IN cord-221669-uokr4mjq 359 30 a a DT cord-221669-uokr4mjq 359 31 New New NNP cord-221669-uokr4mjq 359 32 Mode mode NN cord-221669-uokr4mjq 359 33 of of IN cord-221669-uokr4mjq 359 34 Determining determine VBG cord-221669-uokr4mjq 359 35 the the DT cord-221669-uokr4mjq 359 36 Value Value NNP cord-221669-uokr4mjq 359 37 of of IN cord-221669-uokr4mjq 359 38 Life Life NNP cord-221669-uokr4mjq 359 39 Contingencies contingency NNS cord-221669-uokr4mjq 359 40 From from IN cord-221669-uokr4mjq 359 41 MathWorld MathWorld NNP cord-221669-uokr4mjq 359 42 -A -A . cord-221669-uokr4mjq 360 1 Wolfram Wolfram NNP cord-221669-uokr4mjq 360 2 Web Web NNP cord-221669-uokr4mjq 360 3 Resource Resource NNP cord-221669-uokr4mjq 360 4 Skewness Skewness NNP cord-221669-uokr4mjq 360 5 is be VBZ cord-221669-uokr4mjq 360 6 a a DT cord-221669-uokr4mjq 360 7 dimensionless dimensionless JJ cord-221669-uokr4mjq 360 8 property property NN cord-221669-uokr4mjq 360 9 of of IN cord-221669-uokr4mjq 360 10 a a DT cord-221669-uokr4mjq 360 11 distribution distribution NN cord-221669-uokr4mjq 360 12 We -PRON- PRP cord-221669-uokr4mjq 360 13 note note VBP cord-221669-uokr4mjq 360 14 in in IN cord-221669-uokr4mjq 360 15 passing pass VBG cord-221669-uokr4mjq 360 16 that that DT cord-221669-uokr4mjq 360 17 a a DT cord-221669-uokr4mjq 360 18 single single JJ cord-221669-uokr4mjq 360 19 " " `` cord-221669-uokr4mjq 360 20 outlier outlier NN cord-221669-uokr4mjq 360 21 " " '' cord-221669-uokr4mjq 360 22 point point NN cord-221669-uokr4mjq 360 23 in in IN cord-221669-uokr4mjq 360 24 the the DT cord-221669-uokr4mjq 360 25 Austrian austrian JJ cord-221669-uokr4mjq 360 26 cpd cpd NNP cord-221669-uokr4mjq 360 27 data datum NNS cord-221669-uokr4mjq 360 28 , , , cord-221669-uokr4mjq 360 29 1321 1321 CD cord-221669-uokr4mjq 360 30 new new JJ cord-221669-uokr4mjq 360 31 cases case NNS cord-221669-uokr4mjq 360 32 on on IN cord-221669-uokr4mjq 360 33 26 26 CD cord-221669-uokr4mjq 360 34 Mar Mar NNP cord-221669-uokr4mjq 360 35 2020 2020 CD cord-221669-uokr4mjq 360 36 , , , cord-221669-uokr4mjq 360 37 lies lie VBZ cord-221669-uokr4mjq 360 38 above above IN cord-221669-uokr4mjq 360 39 the the DT cord-221669-uokr4mjq 360 40 upper upper JJ cord-221669-uokr4mjq 360 41 cutoff cutoff NN cord-221669-uokr4mjq 360 42 of of IN cord-221669-uokr4mjq 360 43 1000 1000 CD cord-221669-uokr4mjq 360 44 cases case NNS cord-221669-uokr4mjq 360 45 per per IN cord-221669-uokr4mjq 360 46 day day NN cord-221669-uokr4mjq 360 47 in in IN cord-221669-uokr4mjq 360 48 Fig.7 fig.7 CD cord-221669-uokr4mjq 360 49 . . . cord-221669-uokr4mjq 361 1 It -PRON- PRP cord-221669-uokr4mjq 361 2 was be VBD cord-221669-uokr4mjq 361 3 of of IN cord-221669-uokr4mjq 361 4 course course NN cord-221669-uokr4mjq 361 5 included include VBN cord-221669-uokr4mjq 361 6 in in IN cord-221669-uokr4mjq 361 7 the the DT cord-221669-uokr4mjq 361 8 fit fit NN cord-221669-uokr4mjq 361 9 . . . cord-221669-uokr4mjq 362 1 Similarly similarly RB cord-221669-uokr4mjq 362 2 , , , cord-221669-uokr4mjq 362 3 the the DT cord-221669-uokr4mjq 362 4 Norwegian norwegian JJ cord-221669-uokr4mjq 362 5 cpd cpd NNP cord-221669-uokr4mjq 362 6 data data NN cord-221669-uokr4mjq 362 7 includes include VBZ cord-221669-uokr4mjq 362 8 an an DT cord-221669-uokr4mjq 362 9 outlier outlier NN cord-221669-uokr4mjq 362 10 of of IN cord-221669-uokr4mjq 362 11 399 399 CD cord-221669-uokr4mjq 362 12 new new JJ cord-221669-uokr4mjq 362 13 cases case NNS cord-221669-uokr4mjq 362 14 on on IN cord-221669-uokr4mjq 362 15 27 27 CD cord-221669-uokr4mjq 362 16 Mar Mar NNP cord-221669-uokr4mjq 362 17 2020 2020 CD cord-221669-uokr4mjq 362 18 and and CC cord-221669-uokr4mjq 362 19 a a DT cord-221669-uokr4mjq 362 20 negative negative JJ cord-221669-uokr4mjq 362 21 entry entry NN cord-221669-uokr4mjq 362 22 of of IN cord-221669-uokr4mjq 362 23 -44 -44 NN cord-221669-uokr4mjq 362 24 new new JJ cord-221669-uokr4mjq 362 25 cases case NNS cord-221669-uokr4mjq 362 26 on on IN cord-221669-uokr4mjq 362 27 08 08 CD cord-221669-uokr4mjq 363 1 the the DT cord-221669-uokr4mjq 363 2 cumulative cumulative JJ cord-221669-uokr4mjq 363 3 " " `` cord-221669-uokr4mjq 363 4 cas cas NNP cord-221669-uokr4mjq 363 5 " " '' cord-221669-uokr4mjq 363 6 data datum NNS cord-221669-uokr4mjq 363 7 fit fit NN cord-221669-uokr4mjq 363 8 are be VBP cord-221669-uokr4mjq 363 9 much much RB cord-221669-uokr4mjq 363 10 smaller small JJR cord-221669-uokr4mjq 363 11 than than IN cord-221669-uokr4mjq 363 12 in in IN cord-221669-uokr4mjq 363 13 the the DT cord-221669-uokr4mjq 363 14 preceding precede VBG cord-221669-uokr4mjq 363 15 new new JJ cord-221669-uokr4mjq 363 16 cases case NNS cord-221669-uokr4mjq 363 17 per per IN cord-221669-uokr4mjq 363 18 day day NN cord-221669-uokr4mjq 363 19 " " `` cord-221669-uokr4mjq 363 20 cpd cpd NNP cord-221669-uokr4mjq 363 21 " " '' cord-221669-uokr4mjq 363 22 fit fit JJ cord-221669-uokr4mjq 363 23 . . . cord-221669-uokr4mjq 364 1 The the DT cord-221669-uokr4mjq 364 2 cas cas NNP cord-221669-uokr4mjq 364 3 parameter parameter NN cord-221669-uokr4mjq 364 4 errors error NNS cord-221669-uokr4mjq 364 5 are be VBP cord-221669-uokr4mjq 364 6 likely likely RB cord-221669-uokr4mjq 364 7 underestimated underestimate VBN cord-221669-uokr4mjq 364 8 , , , cord-221669-uokr4mjq 364 9 since since IN cord-221669-uokr4mjq 364 10 the the DT cord-221669-uokr4mjq 364 11 cas cas NNP cord-221669-uokr4mjq 364 12 data data NNP cord-221669-uokr4mjq 364 13 points point NNS cord-221669-uokr4mjq 364 14 represent represent VBP cord-221669-uokr4mjq 364 15 a a DT cord-221669-uokr4mjq 364 16 running running JJ cord-221669-uokr4mjq 364 17 sum sum NN cord-221669-uokr4mjq 364 18 , , , cord-221669-uokr4mjq 364 19 and and CC cord-221669-uokr4mjq 364 20 are be VBP cord-221669-uokr4mjq 364 21 therefore therefore RB cord-221669-uokr4mjq 364 22 highly highly RB cord-221669-uokr4mjq 364 23 correlated correlate VBN cord-221669-uokr4mjq 364 24 . . . cord-221669-uokr4mjq 365 1 The the DT cord-221669-uokr4mjq 365 2 cpd cpd NNP cord-221669-uokr4mjq 365 3 parameter parameter NN cord-221669-uokr4mjq 365 4 errors error NNS cord-221669-uokr4mjq 365 5 are be VBP cord-221669-uokr4mjq 365 6 presumably presumably RB cord-221669-uokr4mjq 365 7 more more RBR cord-221669-uokr4mjq 365 8 realistic realistic JJ cord-221669-uokr4mjq 365 9 National National NNP cord-221669-uokr4mjq 365 10 Address Address NNP cord-221669-uokr4mjq 365 11 British british JJ cord-221669-uokr4mjq 365 12 Prime Prime NNP cord-221669-uokr4mjq 365 13 Minister Minister NNP cord-221669-uokr4mjq 365 14 Boris Boris NNP cord-221669-uokr4mjq 365 15 Johnson Johnson NNP cord-221669-uokr4mjq 365 16 Coronavirus Coronavirus NNP cord-221669-uokr4mjq 365 17 Address Address NNP cord-221669-uokr4mjq 365 18 Suppression Suppression NNP cord-221669-uokr4mjq 365 19 of of IN cord-221669-uokr4mjq 365 20 a a DT cord-221669-uokr4mjq 365 21 SARS SARS NNP cord-221669-uokr4mjq 365 22 - - HYPH cord-221669-uokr4mjq 365 23 CoV-2 CoV-2 NNP cord-221669-uokr4mjq 365 24 outbreak outbreak NN cord-221669-uokr4mjq 365 25 in in IN cord-221669-uokr4mjq 365 26 the the DT cord-221669-uokr4mjq 365 27 Italian italian JJ cord-221669-uokr4mjq 365 28 municipality municipality NN cord-221669-uokr4mjq 365 29 of of IN cord-221669-uokr4mjq 365 30 Vo Vo NNP cord-221669-uokr4mjq 365 31 ' ' ''