id sid tid token lemma pos cord-316393-ozl28ztz 1 1 key key NN cord-316393-ozl28ztz 1 2 : : : cord-316393-ozl28ztz 2 1 cord-316393-ozl28ztz cord-316393-ozl28ztz NNP cord-316393-ozl28ztz 2 2 authors author NNS cord-316393-ozl28ztz 2 3 : : : cord-316393-ozl28ztz 2 4 Enrique Enrique NNP cord-316393-ozl28ztz 2 5 Amaro Amaro NNP cord-316393-ozl28ztz 2 6 , , , cord-316393-ozl28ztz 2 7 José José NNP cord-316393-ozl28ztz 2 8 ; ; : cord-316393-ozl28ztz 2 9 Dudouet Dudouet NNP cord-316393-ozl28ztz 2 10 , , , cord-316393-ozl28ztz 2 11 Jérémie Jérémie NNP cord-316393-ozl28ztz 2 12 ; ; : cord-316393-ozl28ztz 2 13 Nicolás Nicolás NNP cord-316393-ozl28ztz 2 14 Orce Orce NNP cord-316393-ozl28ztz 2 15 , , , cord-316393-ozl28ztz 2 16 José José NNP cord-316393-ozl28ztz 2 17 title title NN cord-316393-ozl28ztz 2 18 : : : cord-316393-ozl28ztz 2 19 Global global JJ cord-316393-ozl28ztz 2 20 analysis analysis NN cord-316393-ozl28ztz 2 21 of of IN cord-316393-ozl28ztz 2 22 the the DT cord-316393-ozl28ztz 2 23 COVID-19 covid-19 JJ cord-316393-ozl28ztz 2 24 pandemic pandemic NN cord-316393-ozl28ztz 2 25 using use VBG cord-316393-ozl28ztz 2 26 simple simple JJ cord-316393-ozl28ztz 2 27 epidemiological epidemiological JJ cord-316393-ozl28ztz 2 28 models model NNS cord-316393-ozl28ztz 2 29 date date NN cord-316393-ozl28ztz 2 30 : : : cord-316393-ozl28ztz 2 31 2020 2020 CD cord-316393-ozl28ztz 2 32 - - SYM cord-316393-ozl28ztz 2 33 10 10 CD cord-316393-ozl28ztz 2 34 - - SYM cord-316393-ozl28ztz 2 35 22 22 CD cord-316393-ozl28ztz 2 36 journal journal NN cord-316393-ozl28ztz 2 37 : : : cord-316393-ozl28ztz 2 38 Appl Appl NNP cord-316393-ozl28ztz 2 39 Math Math NNP cord-316393-ozl28ztz 2 40 Model Model NNP cord-316393-ozl28ztz 2 41 DOI DOI NNP cord-316393-ozl28ztz 2 42 : : : cord-316393-ozl28ztz 2 43 10.1016/ 10.1016/ CD cord-316393-ozl28ztz 3 1 j.apm.2020.10.019 j.apm.2020.10.019 NNP cord-316393-ozl28ztz 3 2 sha sha NNP cord-316393-ozl28ztz 3 3 : : : cord-316393-ozl28ztz 4 1 fb6b3ec47b488150c6100befc0bd573c7a6a041b fb6b3ec47b488150c6100befc0bd573c7a6a041b NNP cord-316393-ozl28ztz 4 2 doc_id doc_id CD cord-316393-ozl28ztz 4 3 : : : cord-316393-ozl28ztz 4 4 316393 316393 CD cord-316393-ozl28ztz 4 5 cord_uid cord_uid NNS cord-316393-ozl28ztz 4 6 : : : cord-316393-ozl28ztz 4 7 ozl28ztz ozl28ztz ADD cord-316393-ozl28ztz 5 1 Several several JJ cord-316393-ozl28ztz 5 2 analytical analytical JJ cord-316393-ozl28ztz 5 3 models model NNS cord-316393-ozl28ztz 5 4 have have VBP cord-316393-ozl28ztz 5 5 been be VBN cord-316393-ozl28ztz 5 6 developed develop VBN cord-316393-ozl28ztz 5 7 in in IN cord-316393-ozl28ztz 5 8 this this DT cord-316393-ozl28ztz 5 9 work work NN cord-316393-ozl28ztz 5 10 to to TO cord-316393-ozl28ztz 5 11 describe describe VB cord-316393-ozl28ztz 5 12 the the DT cord-316393-ozl28ztz 5 13 evolution evolution NN cord-316393-ozl28ztz 5 14 of of IN cord-316393-ozl28ztz 5 15 fatalities fatality NNS cord-316393-ozl28ztz 5 16 arising arise VBG cord-316393-ozl28ztz 5 17 from from IN cord-316393-ozl28ztz 5 18 coronavirus coronavirus NN cord-316393-ozl28ztz 5 19 COVID-19 covid-19 VBP cord-316393-ozl28ztz 5 20 worldwide worldwide RB cord-316393-ozl28ztz 5 21 . . . cord-316393-ozl28ztz 6 1 The the DT cord-316393-ozl28ztz 6 2 Death death NN cord-316393-ozl28ztz 6 3 or or CC cord-316393-ozl28ztz 6 4 ‘ ' `` cord-316393-ozl28ztz 6 5 D D NNP cord-316393-ozl28ztz 6 6 ’ ' '' cord-316393-ozl28ztz 6 7 model model NN cord-316393-ozl28ztz 6 8 is be VBZ cord-316393-ozl28ztz 6 9 a a DT cord-316393-ozl28ztz 6 10 simplified simplified JJ cord-316393-ozl28ztz 6 11 version version NN cord-316393-ozl28ztz 6 12 of of IN cord-316393-ozl28ztz 6 13 the the DT cord-316393-ozl28ztz 6 14 well well RB cord-316393-ozl28ztz 6 15 - - HYPH cord-316393-ozl28ztz 6 16 known know VBN cord-316393-ozl28ztz 6 17 SIR SIR NNP cord-316393-ozl28ztz 6 18 ( ( -LRB- cord-316393-ozl28ztz 6 19 susceptible susceptible JJ cord-316393-ozl28ztz 6 20 - - HYPH cord-316393-ozl28ztz 6 21 infected infected JJ cord-316393-ozl28ztz 6 22 - - HYPH cord-316393-ozl28ztz 6 23 recovered recovered JJ cord-316393-ozl28ztz 6 24 ) ) -RRB- cord-316393-ozl28ztz 6 25 compartment compartment NN cord-316393-ozl28ztz 6 26 model model NN cord-316393-ozl28ztz 6 27 , , , cord-316393-ozl28ztz 6 28 which which WDT cord-316393-ozl28ztz 6 29 allows allow VBZ cord-316393-ozl28ztz 6 30 for for IN cord-316393-ozl28ztz 6 31 the the DT cord-316393-ozl28ztz 6 32 transmission transmission NN cord-316393-ozl28ztz 6 33 - - HYPH cord-316393-ozl28ztz 6 34 dynamics dynamic NNS cord-316393-ozl28ztz 6 35 equations equation NNS cord-316393-ozl28ztz 6 36 to to TO cord-316393-ozl28ztz 6 37 be be VB cord-316393-ozl28ztz 6 38 solved solve VBN cord-316393-ozl28ztz 6 39 analytically analytically RB cord-316393-ozl28ztz 6 40 by by IN cord-316393-ozl28ztz 6 41 assuming assume VBG cord-316393-ozl28ztz 6 42 no no DT cord-316393-ozl28ztz 6 43 recovery recovery NN cord-316393-ozl28ztz 6 44 during during IN cord-316393-ozl28ztz 6 45 the the DT cord-316393-ozl28ztz 6 46 pandemic pandemic NN cord-316393-ozl28ztz 6 47 . . . cord-316393-ozl28ztz 7 1 By by IN cord-316393-ozl28ztz 7 2 fitting fit VBG cord-316393-ozl28ztz 7 3 to to IN cord-316393-ozl28ztz 7 4 available available JJ cord-316393-ozl28ztz 7 5 data datum NNS cord-316393-ozl28ztz 7 6 , , , cord-316393-ozl28ztz 7 7 the the DT cord-316393-ozl28ztz 7 8 D d NN cord-316393-ozl28ztz 7 9 - - HYPH cord-316393-ozl28ztz 7 10 model model NN cord-316393-ozl28ztz 7 11 provides provide VBZ cord-316393-ozl28ztz 7 12 a a DT cord-316393-ozl28ztz 7 13 precise precise JJ cord-316393-ozl28ztz 7 14 way way NN cord-316393-ozl28ztz 7 15 to to TO cord-316393-ozl28ztz 7 16 characterize characterize VB cord-316393-ozl28ztz 7 17 the the DT cord-316393-ozl28ztz 7 18 exponential exponential JJ cord-316393-ozl28ztz 7 19 and and CC cord-316393-ozl28ztz 7 20 normal normal JJ cord-316393-ozl28ztz 7 21 phases phase NNS cord-316393-ozl28ztz 7 22 of of IN cord-316393-ozl28ztz 7 23 the the DT cord-316393-ozl28ztz 7 24 pandemic pandemic NN cord-316393-ozl28ztz 7 25 evolution evolution NN cord-316393-ozl28ztz 7 26 , , , cord-316393-ozl28ztz 7 27 and and CC cord-316393-ozl28ztz 7 28 it -PRON- PRP cord-316393-ozl28ztz 7 29 can can MD cord-316393-ozl28ztz 7 30 be be VB cord-316393-ozl28ztz 7 31 extended extend VBN cord-316393-ozl28ztz 7 32 to to TO cord-316393-ozl28ztz 7 33 describe describe VB cord-316393-ozl28ztz 7 34 additional additional JJ cord-316393-ozl28ztz 7 35 spatial spatial JJ cord-316393-ozl28ztz 7 36 - - HYPH cord-316393-ozl28ztz 7 37 time time NN cord-316393-ozl28ztz 7 38 effects effect NNS cord-316393-ozl28ztz 7 39 such such JJ cord-316393-ozl28ztz 7 40 as as IN cord-316393-ozl28ztz 7 41 the the DT cord-316393-ozl28ztz 7 42 release release NN cord-316393-ozl28ztz 7 43 of of IN cord-316393-ozl28ztz 7 44 lockdown lockdown NN cord-316393-ozl28ztz 7 45 measures measure NNS cord-316393-ozl28ztz 7 46 . . . cord-316393-ozl28ztz 8 1 More more RBR cord-316393-ozl28ztz 8 2 accurate accurate JJ cord-316393-ozl28ztz 8 3 calculations calculation NNS cord-316393-ozl28ztz 8 4 using use VBG cord-316393-ozl28ztz 8 5 the the DT cord-316393-ozl28ztz 8 6 extended extended JJ cord-316393-ozl28ztz 8 7 SIR SIR NNP cord-316393-ozl28ztz 8 8 or or CC cord-316393-ozl28ztz 8 9 ESIR ESIR NNP cord-316393-ozl28ztz 8 10 model model NN cord-316393-ozl28ztz 8 11 , , , cord-316393-ozl28ztz 8 12 which which WDT cord-316393-ozl28ztz 8 13 includes include VBZ cord-316393-ozl28ztz 8 14 recovery recovery NN cord-316393-ozl28ztz 8 15 , , , cord-316393-ozl28ztz 8 16 and and CC cord-316393-ozl28ztz 8 17 more more RBR cord-316393-ozl28ztz 8 18 sophisticated sophisticated JJ cord-316393-ozl28ztz 8 19 Monte Monte NNP cord-316393-ozl28ztz 8 20 Carlo Carlo NNP cord-316393-ozl28ztz 8 21 grid grid NN cord-316393-ozl28ztz 8 22 simulations simulation NNS cord-316393-ozl28ztz 8 23 – – : cord-316393-ozl28ztz 8 24 also also RB cord-316393-ozl28ztz 8 25 developed develop VBD cord-316393-ozl28ztz 8 26 in in IN cord-316393-ozl28ztz 8 27 this this DT cord-316393-ozl28ztz 8 28 work work NN cord-316393-ozl28ztz 8 29 – – : cord-316393-ozl28ztz 8 30 predict predict VBP cord-316393-ozl28ztz 8 31 similar similar JJ cord-316393-ozl28ztz 8 32 trends trend NNS cord-316393-ozl28ztz 8 33 and and CC cord-316393-ozl28ztz 8 34 suggest suggest VBP cord-316393-ozl28ztz 8 35 a a DT cord-316393-ozl28ztz 8 36 common common JJ cord-316393-ozl28ztz 8 37 pandemic pandemic NN cord-316393-ozl28ztz 8 38 evolution evolution NN cord-316393-ozl28ztz 8 39 with with IN cord-316393-ozl28ztz 8 40 universal universal JJ cord-316393-ozl28ztz 8 41 parameters parameter NNS cord-316393-ozl28ztz 8 42 . . . cord-316393-ozl28ztz 9 1 The the DT cord-316393-ozl28ztz 9 2 evolution evolution NN cord-316393-ozl28ztz 9 3 of of IN cord-316393-ozl28ztz 9 4 the the DT cord-316393-ozl28ztz 9 5 COVID-19 covid-19 JJ cord-316393-ozl28ztz 9 6 pandemic pandemic NN cord-316393-ozl28ztz 9 7 in in IN cord-316393-ozl28ztz 9 8 several several JJ cord-316393-ozl28ztz 9 9 countries country NNS cord-316393-ozl28ztz 9 10 shows show VBZ cord-316393-ozl28ztz 9 11 the the DT cord-316393-ozl28ztz 9 12 typical typical JJ cord-316393-ozl28ztz 9 13 behavior behavior NN cord-316393-ozl28ztz 9 14 in in IN cord-316393-ozl28ztz 9 15 concord concord NNP cord-316393-ozl28ztz 9 16 with with IN cord-316393-ozl28ztz 9 17 our -PRON- PRP$ cord-316393-ozl28ztz 9 18 model model NN cord-316393-ozl28ztz 9 19 trends trend NNS cord-316393-ozl28ztz 9 20 , , , cord-316393-ozl28ztz 9 21 characterized characterize VBN cord-316393-ozl28ztz 9 22 by by IN cord-316393-ozl28ztz 9 23 a a DT cord-316393-ozl28ztz 9 24 rapid rapid JJ cord-316393-ozl28ztz 9 25 increase increase NN cord-316393-ozl28ztz 9 26 of of IN cord-316393-ozl28ztz 9 27 death death NN cord-316393-ozl28ztz 9 28 cases case NNS cord-316393-ozl28ztz 9 29 followed follow VBN cord-316393-ozl28ztz 9 30 by by IN cord-316393-ozl28ztz 9 31 a a DT cord-316393-ozl28ztz 9 32 slow slow JJ cord-316393-ozl28ztz 9 33 decline decline NN cord-316393-ozl28ztz 9 34 , , , cord-316393-ozl28ztz 9 35 typically typically RB cord-316393-ozl28ztz 9 36 asymmetric asymmetric JJ cord-316393-ozl28ztz 9 37 with with IN cord-316393-ozl28ztz 9 38 respect respect NN cord-316393-ozl28ztz 9 39 to to IN cord-316393-ozl28ztz 9 40 the the DT cord-316393-ozl28ztz 9 41 pandemic pandemic NN cord-316393-ozl28ztz 9 42 peak peak NN cord-316393-ozl28ztz 9 43 . . . cord-316393-ozl28ztz 10 1 The the DT cord-316393-ozl28ztz 10 2 fact fact NN cord-316393-ozl28ztz 10 3 that that IN cord-316393-ozl28ztz 10 4 the the DT cord-316393-ozl28ztz 10 5 D d NN cord-316393-ozl28ztz 10 6 and and CC cord-316393-ozl28ztz 10 7 ESIR ESIR NNP cord-316393-ozl28ztz 10 8 models model NNS cord-316393-ozl28ztz 10 9 predict predict VBP cord-316393-ozl28ztz 10 10 similar similar JJ cord-316393-ozl28ztz 10 11 results result NNS cord-316393-ozl28ztz 10 12 – – : cord-316393-ozl28ztz 10 13 without without IN cord-316393-ozl28ztz 10 14 and and CC cord-316393-ozl28ztz 10 15 with with IN cord-316393-ozl28ztz 10 16 recovery recovery NN cord-316393-ozl28ztz 10 17 , , , cord-316393-ozl28ztz 10 18 respectively respectively RB cord-316393-ozl28ztz 10 19 – – : cord-316393-ozl28ztz 10 20 indicates indicate VBZ cord-316393-ozl28ztz 10 21 that that IN cord-316393-ozl28ztz 10 22 COVID-19 COVID-19 NNP cord-316393-ozl28ztz 10 23 is be VBZ cord-316393-ozl28ztz 10 24 a a DT cord-316393-ozl28ztz 10 25 highly highly RB cord-316393-ozl28ztz 10 26 contagious contagious JJ cord-316393-ozl28ztz 10 27 virus virus NN cord-316393-ozl28ztz 10 28 , , , cord-316393-ozl28ztz 10 29 but but CC cord-316393-ozl28ztz 10 30 that that IN cord-316393-ozl28ztz 10 31 most most JJS cord-316393-ozl28ztz 10 32 people people NNS cord-316393-ozl28ztz 10 33 become become VBP cord-316393-ozl28ztz 10 34 asymptomatic asymptomatic JJ cord-316393-ozl28ztz 10 35 ( ( -LRB- cord-316393-ozl28ztz 10 36 D d JJ cord-316393-ozl28ztz 10 37 model model NN cord-316393-ozl28ztz 10 38 ) ) -RRB- cord-316393-ozl28ztz 10 39 and and CC cord-316393-ozl28ztz 10 40 eventually eventually RB cord-316393-ozl28ztz 10 41 recover recover VB cord-316393-ozl28ztz 10 42 ( ( -LRB- cord-316393-ozl28ztz 10 43 ESIR ESIR NNP cord-316393-ozl28ztz 10 44 model model NN cord-316393-ozl28ztz 10 45 ) ) -RRB- cord-316393-ozl28ztz 10 46 . . . cord-316393-ozl28ztz 11 1 • • NNP cord-316393-ozl28ztz 12 1 Similar similar JJ cord-316393-ozl28ztz 12 2 results result NNS cord-316393-ozl28ztz 12 3 from from IN cord-316393-ozl28ztz 12 4 ESIR ESIR NNP cord-316393-ozl28ztz 12 5 and and CC cord-316393-ozl28ztz 12 6 D d NN cord-316393-ozl28ztz 12 7 models model NNS cord-316393-ozl28ztz 12 8 suggest suggest VBP cord-316393-ozl28ztz 12 9 that that IN cord-316393-ozl28ztz 12 10 most most JJS cord-316393-ozl28ztz 12 11 susceptibles susceptible NNS cord-316393-ozl28ztz 12 12 become become VBP cord-316393-ozl28ztz 12 13 infected infected JJ cord-316393-ozl28ztz 12 14 , , , cord-316393-ozl28ztz 12 15 asymptomatic asymptomatic JJ cord-316393-ozl28ztz 12 16 and and CC cord-316393-ozl28ztz 12 17 eventually eventually RB cord-316393-ozl28ztz 12 18 recover recover VB cord-316393-ozl28ztz 12 19 . . . cord-316393-ozl28ztz 13 1 • • NNP cord-316393-ozl28ztz 14 1 Similar similar JJ cord-316393-ozl28ztz 14 2 trends trend NNS cord-316393-ozl28ztz 14 3 suggest suggest VBP cord-316393-ozl28ztz 14 4 a a DT cord-316393-ozl28ztz 14 5 common common JJ cord-316393-ozl28ztz 14 6 pandemic pandemic NN cord-316393-ozl28ztz 14 7 evolution evolution NN cord-316393-ozl28ztz 14 8 with with IN cord-316393-ozl28ztz 14 9 universal universal JJ cord-316393-ozl28ztz 14 10 parameters parameter NNS cord-316393-ozl28ztz 14 11 . . . cord-316393-ozl28ztz 15 1 1 1 LS cord-316393-ozl28ztz 16 1 The the DT cord-316393-ozl28ztz 16 2 SIR SIR NNP cord-316393-ozl28ztz 16 3 ( ( -LRB- cord-316393-ozl28ztz 16 4 susceptible susceptible JJ cord-316393-ozl28ztz 16 5 - - HYPH cord-316393-ozl28ztz 16 6 infected infected JJ cord-316393-ozl28ztz 16 7 - - HYPH cord-316393-ozl28ztz 16 8 recovered recovered JJ cord-316393-ozl28ztz 16 9 ) ) -RRB- cord-316393-ozl28ztz 16 10 model model NN cord-316393-ozl28ztz 16 11 is be VBZ cord-316393-ozl28ztz 16 12 widely widely RB cord-316393-ozl28ztz 16 13 used use VBN cord-316393-ozl28ztz 16 14 as as IN cord-316393-ozl28ztz 16 15 first first JJ cord-316393-ozl28ztz 16 16 - - HYPH cord-316393-ozl28ztz 16 17 order order NN cord-316393-ozl28ztz 16 18 approximation approximation NN cord-316393-ozl28ztz 16 19 to to IN cord-316393-ozl28ztz 16 20 viral viral JJ cord-316393-ozl28ztz 16 21 spreading spreading NN cord-316393-ozl28ztz 16 22 of of IN cord-316393-ozl28ztz 16 23 contagious contagious JJ cord-316393-ozl28ztz 16 24 epidemics epidemic NNS cord-316393-ozl28ztz 16 25 [ [ -LRB- cord-316393-ozl28ztz 16 26 1 1 CD cord-316393-ozl28ztz 16 27 ] ] -RRB- cord-316393-ozl28ztz 16 28 , , , cord-316393-ozl28ztz 16 29 mass mass NN cord-316393-ozl28ztz 16 30 immunization immunization NN cord-316393-ozl28ztz 16 31 planning planning NN cord-316393-ozl28ztz 16 32 [ [ -LRB- cord-316393-ozl28ztz 16 33 2 2 CD cord-316393-ozl28ztz 16 34 , , , cord-316393-ozl28ztz 16 35 3 3 CD cord-316393-ozl28ztz 16 36 ] ] -RRB- cord-316393-ozl28ztz 16 37 , , , cord-316393-ozl28ztz 16 38 marketing marketing NN cord-316393-ozl28ztz 16 39 , , , cord-316393-ozl28ztz 16 40 informatics informatics NN cord-316393-ozl28ztz 16 41 and and CC cord-316393-ozl28ztz 16 42 social social JJ cord-316393-ozl28ztz 16 43 networks network NNS cord-316393-ozl28ztz 16 44 [ [ -LRB- cord-316393-ozl28ztz 16 45 4 4 CD cord-316393-ozl28ztz 16 46 ] ] -RRB- cord-316393-ozl28ztz 16 47 . . . cord-316393-ozl28ztz 17 1 Its -PRON- PRP$ cord-316393-ozl28ztz 17 2 cornerstone cornerstone NN cord-316393-ozl28ztz 17 3 is be VBZ cord-316393-ozl28ztz 17 4 the the DT cord-316393-ozl28ztz 17 5 so so RB cord-316393-ozl28ztz 17 6 - - HYPH cord-316393-ozl28ztz 17 7 called call VBN cord-316393-ozl28ztz 17 8 " " `` cord-316393-ozl28ztz 17 9 mass mass JJ cord-316393-ozl28ztz 17 10 - - HYPH cord-316393-ozl28ztz 17 11 action action NN cord-316393-ozl28ztz 17 12 " " '' cord-316393-ozl28ztz 17 13 principle principle NN cord-316393-ozl28ztz 17 14 introduced introduce VBN cord-316393-ozl28ztz 17 15 by by IN cord-316393-ozl28ztz 17 16 Hamer Hamer NNP cord-316393-ozl28ztz 17 17 , , , cord-316393-ozl28ztz 17 18 which which WDT cord-316393-ozl28ztz 17 19 assumes assume VBZ cord-316393-ozl28ztz 17 20 that that IN cord-316393-ozl28ztz 17 21 the the DT cord-316393-ozl28ztz 17 22 course course NN cord-316393-ozl28ztz 17 23 of of IN cord-316393-ozl28ztz 17 24 an an DT cord-316393-ozl28ztz 17 25 epidemic epidemic NN cord-316393-ozl28ztz 17 26 depends depend VBZ cord-316393-ozl28ztz 17 27 on on IN cord-316393-ozl28ztz 17 28 the the DT cord-316393-ozl28ztz 17 29 rate rate NN cord-316393-ozl28ztz 17 30 of of IN cord-316393-ozl28ztz 17 31 contact contact NN cord-316393-ozl28ztz 17 32 between between IN cord-316393-ozl28ztz 17 33 susceptible susceptible JJ cord-316393-ozl28ztz 17 34 and and CC cord-316393-ozl28ztz 17 35 infected infected JJ cord-316393-ozl28ztz 17 36 individuals individual NNS cord-316393-ozl28ztz 17 37 [ [ -LRB- cord-316393-ozl28ztz 17 38 5 5 CD cord-316393-ozl28ztz 17 39 ] ] -RRB- cord-316393-ozl28ztz 17 40 . . . cord-316393-ozl28ztz 18 1 This this DT cord-316393-ozl28ztz 18 2 idea idea NN cord-316393-ozl28ztz 18 3 was be VBD cord-316393-ozl28ztz 18 4 extended extend VBN cord-316393-ozl28ztz 18 5 to to IN cord-316393-ozl28ztz 18 6 a a DT cord-316393-ozl28ztz 18 7 continuous continuous JJ cord-316393-ozl28ztz 18 8 time time NN cord-316393-ozl28ztz 18 9 framework framework NN cord-316393-ozl28ztz 18 10 by by IN cord-316393-ozl28ztz 18 11 Ross Ross NNP cord-316393-ozl28ztz 18 12 in in IN cord-316393-ozl28ztz 18 13 his -PRON- PRP$ cord-316393-ozl28ztz 18 14 pioneering pioneering JJ cord-316393-ozl28ztz 18 15 work work NN cord-316393-ozl28ztz 18 16 on on IN cord-316393-ozl28ztz 18 17 malaria malaria NN cord-316393-ozl28ztz 18 18 transmission transmission NN cord-316393-ozl28ztz 18 19 dynamics dynamic NNS cord-316393-ozl28ztz 18 20 [ [ -LRB- cord-316393-ozl28ztz 18 21 6 6 CD cord-316393-ozl28ztz 18 22 ] ] -RRB- cord-316393-ozl28ztz 18 23 [ [ -LRB- cord-316393-ozl28ztz 18 24 7 7 CD cord-316393-ozl28ztz 18 25 ] ] -RRB- cord-316393-ozl28ztz 18 26 [ [ -LRB- cord-316393-ozl28ztz 18 27 8 8 CD cord-316393-ozl28ztz 18 28 ] ] -RRB- cord-316393-ozl28ztz 18 29 , , , cord-316393-ozl28ztz 18 30 and and CC cord-316393-ozl28ztz 18 31 finally finally RB cord-316393-ozl28ztz 18 32 put put VB cord-316393-ozl28ztz 18 33 into into IN cord-316393-ozl28ztz 18 34 its -PRON- PRP$ cord-316393-ozl28ztz 18 35 classic classic JJ cord-316393-ozl28ztz 18 36 mathematical mathematical JJ cord-316393-ozl28ztz 18 37 form form NN cord-316393-ozl28ztz 18 38 by by IN cord-316393-ozl28ztz 18 39 Kermack Kermack NNP cord-316393-ozl28ztz 18 40 and and CC cord-316393-ozl28ztz 18 41 McKendric McKendric NNP cord-316393-ozl28ztz 18 42 [ [ -LRB- cord-316393-ozl28ztz 18 43 9 9 CD cord-316393-ozl28ztz 18 44 ] ] -RRB- cord-316393-ozl28ztz 18 45 . . . cord-316393-ozl28ztz 19 1 The the DT cord-316393-ozl28ztz 19 2 Email email NN cord-316393-ozl28ztz 19 3 addresses address VBZ cord-316393-ozl28ztz 19 4 : : : cord-316393-ozl28ztz 19 5 amaro@ugr.es amaro@ugr.es NN cord-316393-ozl28ztz 19 6 ( ( -LRB- cord-316393-ozl28ztz 19 7 José José NNP cord-316393-ozl28ztz 19 8 Enrique Enrique NNP cord-316393-ozl28ztz 19 9 Amaro Amaro NNP cord-316393-ozl28ztz 19 10 ) ) -RRB- cord-316393-ozl28ztz 19 11 , , , cord-316393-ozl28ztz 19 12 j.dudouet@ip2i.in2p3.fr j.dudouet@ip2i.in2p3.fr NNP cord-316393-ozl28ztz 20 1 ( ( -LRB- cord-316393-ozl28ztz 20 2 Jérémie Jérémie NNP cord-316393-ozl28ztz 20 3 Dudouet Dudouet NNP cord-316393-ozl28ztz 20 4 ) ) -RRB- cord-316393-ozl28ztz 20 5 , , . cord-316393-ozl28ztz 21 1 jnorce@uwc.ac.za jnorce@uwc.ac.za NNP cord-316393-ozl28ztz 22 1 ( ( -LRB- cord-316393-ozl28ztz 22 2 José José NNP cord-316393-ozl28ztz 22 3 Nicolás Nicolás NNP cord-316393-ozl28ztz 22 4 Orce Orce NNP cord-316393-ozl28ztz 22 5 * * NFP cord-316393-ozl28ztz 22 6 ) ) -RRB- cord-316393-ozl28ztz 22 7 URL url NN cord-316393-ozl28ztz 22 8 : : : cord-316393-ozl28ztz 23 1 webpage webpage NN cord-316393-ozl28ztz 23 2 : : : cord-316393-ozl28ztz 24 1 http://www.ugr.es/∼amaro http://www.ugr.es/∼amaro NNP cord-316393-ozl28ztz 25 1 ( ( -LRB- cord-316393-ozl28ztz 25 2 José José NNP cord-316393-ozl28ztz 25 3 Enrique Enrique NNP cord-316393-ozl28ztz 25 4 Amaro Amaro NNP cord-316393-ozl28ztz 25 5 ) ) -RRB- cord-316393-ozl28ztz 25 6 , , . cord-316393-ozl28ztz 26 1 https://nuclear.uwc.ac.za https://nuclear.uwc.ac.za NNP cord-316393-ozl28ztz 27 1 ( ( -LRB- cord-316393-ozl28ztz 27 2 José José NNP cord-316393-ozl28ztz 27 3 Nicolás Nicolás NNP cord-316393-ozl28ztz 27 4 Orce Orce NNP cord-316393-ozl28ztz 28 1 * * NFP cord-316393-ozl28ztz 28 2 ) ) -RRB- cord-316393-ozl28ztz 28 3 SIR SIR NNP cord-316393-ozl28ztz 28 4 model model NN cord-316393-ozl28ztz 28 5 was be VBD cord-316393-ozl28ztz 28 6 further further RB cord-316393-ozl28ztz 28 7 developed develop VBN cord-316393-ozl28ztz 28 8 by by IN cord-316393-ozl28ztz 28 9 Kendall Kendall NNP cord-316393-ozl28ztz 28 10 , , , cord-316393-ozl28ztz 28 11 who who WP cord-316393-ozl28ztz 28 12 provided provide VBD cord-316393-ozl28ztz 28 13 a a DT cord-316393-ozl28ztz 28 14 spatial spatial JJ cord-316393-ozl28ztz 28 15 generalization generalization NN cord-316393-ozl28ztz 28 16 of of IN cord-316393-ozl28ztz 28 17 the the DT cord-316393-ozl28ztz 28 18 Kermack Kermack NNP cord-316393-ozl28ztz 28 19 and and CC cord-316393-ozl28ztz 28 20 McKendrick McKendrick NNP cord-316393-ozl28ztz 28 21 model model NN cord-316393-ozl28ztz 28 22 in in IN cord-316393-ozl28ztz 28 23 a a DT cord-316393-ozl28ztz 28 24 closed closed JJ cord-316393-ozl28ztz 28 25 population population NN cord-316393-ozl28ztz 28 26 [ [ -LRB- cord-316393-ozl28ztz 28 27 10 10 CD cord-316393-ozl28ztz 28 28 ] ] -RRB- cord-316393-ozl28ztz 28 29 ( ( -LRB- cord-316393-ozl28ztz 29 1 i.e. i.e. FW cord-316393-ozl28ztz 29 2 neglecting neglect VBG cord-316393-ozl28ztz 29 3 the the DT cord-316393-ozl28ztz 29 4 effects effect NNS cord-316393-ozl28ztz 29 5 of of IN cord-316393-ozl28ztz 29 6 spatial spatial JJ cord-316393-ozl28ztz 29 7 migration migration NN cord-316393-ozl28ztz 29 8 ) ) -RRB- cord-316393-ozl28ztz 29 9 , , , cord-316393-ozl28ztz 29 10 and and CC cord-316393-ozl28ztz 29 11 Bartlett Bartlett NNP cord-316393-ozl28ztz 29 12 , , , cord-316393-ozl28ztz 29 13 who who WP cord-316393-ozl28ztz 29 14 -after -after VBP cord-316393-ozl28ztz 29 15 investigating investigate VBG cord-316393-ozl28ztz 29 16 the the DT cord-316393-ozl28ztz 29 17 connection connection NN cord-316393-ozl28ztz 29 18 between between IN cord-316393-ozl28ztz 29 19 the the DT cord-316393-ozl28ztz 29 20 periodicity periodicity NN cord-316393-ozl28ztz 29 21 of of IN cord-316393-ozl28ztz 29 22 measles measles NN cord-316393-ozl28ztz 29 23 epidemics epidemic NNS cord-316393-ozl28ztz 29 24 and and CC cord-316393-ozl28ztz 29 25 community community NN cord-316393-ozl28ztz 29 26 size size NN cord-316393-ozl28ztz 29 27 -predicted -predicte VBN cord-316393-ozl28ztz 30 1 a a DT cord-316393-ozl28ztz 30 2 traveling travel VBG cord-316393-ozl28ztz 30 3 wave wave NN cord-316393-ozl28ztz 30 4 of of IN cord-316393-ozl28ztz 30 5 infection infection NN cord-316393-ozl28ztz 30 6 moving move VBG cord-316393-ozl28ztz 30 7 out out RP cord-316393-ozl28ztz 30 8 from from IN cord-316393-ozl28ztz 30 9 the the DT cord-316393-ozl28ztz 30 10 initial initial JJ cord-316393-ozl28ztz 30 11 source source NN cord-316393-ozl28ztz 30 12 of of IN cord-316393-ozl28ztz 30 13 infection infection NN cord-316393-ozl28ztz 30 14 [ [ -LRB- cord-316393-ozl28ztz 30 15 11 11 CD cord-316393-ozl28ztz 30 16 , , , cord-316393-ozl28ztz 30 17 12 12 CD cord-316393-ozl28ztz 30 18 ] ] -RRB- cord-316393-ozl28ztz 30 19 . . . cord-316393-ozl28ztz 31 1 More More JJR cord-316393-ozl28ztz 31 2 recent recent JJ cord-316393-ozl28ztz 31 3 implementations implementation NNS cord-316393-ozl28ztz 31 4 have have VBP cord-316393-ozl28ztz 31 5 considered consider VBN cord-316393-ozl28ztz 31 6 the the DT cord-316393-ozl28ztz 31 7 typical typical JJ cord-316393-ozl28ztz 31 8 incubation incubation NN cord-316393-ozl28ztz 31 9 period period NN cord-316393-ozl28ztz 31 10 of of IN cord-316393-ozl28ztz 31 11 the the DT cord-316393-ozl28ztz 31 12 disease disease NN cord-316393-ozl28ztz 31 13 and and CC cord-316393-ozl28ztz 31 14 the the DT cord-316393-ozl28ztz 31 15 spatial spatial JJ cord-316393-ozl28ztz 31 16 migration migration NN cord-316393-ozl28ztz 31 17 of of IN cord-316393-ozl28ztz 31 18 the the DT cord-316393-ozl28ztz 31 19 population population NN cord-316393-ozl28ztz 31 20 . . . cord-316393-ozl28ztz 32 1 The the DT cord-316393-ozl28ztz 32 2 pandemic pandemic NN cord-316393-ozl28ztz 32 3 has have VBZ cord-316393-ozl28ztz 32 4 ignited ignite VBN cord-316393-ozl28ztz 32 5 the the DT cord-316393-ozl28ztz 32 6 submission submission NN cord-316393-ozl28ztz 32 7 of of IN cord-316393-ozl28ztz 32 8 multiple multiple JJ cord-316393-ozl28ztz 32 9 manuscripts manuscript NNS cord-316393-ozl28ztz 32 10 in in IN cord-316393-ozl28ztz 32 11 the the DT cord-316393-ozl28ztz 32 12 last last JJ cord-316393-ozl28ztz 32 13 weeks week NNS cord-316393-ozl28ztz 32 14 . . . cord-316393-ozl28ztz 33 1 Most Most JJS cord-316393-ozl28ztz 33 2 statistical statistical JJ cord-316393-ozl28ztz 33 3 distributions distribution NNS cord-316393-ozl28ztz 33 4 used use VBN cord-316393-ozl28ztz 33 5 to to TO cord-316393-ozl28ztz 33 6 estimate estimate VB cord-316393-ozl28ztz 33 7 disease disease NN cord-316393-ozl28ztz 33 8 occurrence occurrence NN cord-316393-ozl28ztz 33 9 are be VBP cord-316393-ozl28ztz 33 10 of of IN cord-316393-ozl28ztz 33 11 the the DT cord-316393-ozl28ztz 33 12 binomial binomial NN cord-316393-ozl28ztz 33 13 , , , cord-316393-ozl28ztz 33 14 Poisson Poisson NNP cord-316393-ozl28ztz 33 15 , , , cord-316393-ozl28ztz 33 16 Gaussian Gaussian NNP cord-316393-ozl28ztz 33 17 , , , cord-316393-ozl28ztz 33 18 Fermi Fermi NNP cord-316393-ozl28ztz 33 19 or or CC cord-316393-ozl28ztz 33 20 exponential exponential JJ cord-316393-ozl28ztz 33 21 types type NNS cord-316393-ozl28ztz 33 22 . . . cord-316393-ozl28ztz 34 1 Despite despite IN cord-316393-ozl28ztz 34 2 their -PRON- PRP$ cord-316393-ozl28ztz 34 3 intrinsic intrinsic JJ cord-316393-ozl28ztz 34 4 differences difference NNS cord-316393-ozl28ztz 34 5 , , , cord-316393-ozl28ztz 34 6 these these DT cord-316393-ozl28ztz 34 7 distributions distribution NNS cord-316393-ozl28ztz 34 8 generally generally RB cord-316393-ozl28ztz 34 9 lead lead VBP cord-316393-ozl28ztz 34 10 to to IN cord-316393-ozl28ztz 34 11 similar similar JJ cord-316393-ozl28ztz 34 12 results result NNS cord-316393-ozl28ztz 34 13 , , , cord-316393-ozl28ztz 34 14 assuming assume VBG cord-316393-ozl28ztz 34 15 independence independence NN cord-316393-ozl28ztz 34 16 and and CC cord-316393-ozl28ztz 34 17 homogeneity homogeneity NN cord-316393-ozl28ztz 34 18 of of IN cord-316393-ozl28ztz 34 19 disease disease NN cord-316393-ozl28ztz 34 20 risks risk NNS cord-316393-ozl28ztz 34 21 [ [ -LRB- cord-316393-ozl28ztz 34 22 13 13 CD cord-316393-ozl28ztz 34 23 ] ] -RRB- cord-316393-ozl28ztz 34 24 . . . cord-316393-ozl28ztz 35 1 In in IN cord-316393-ozl28ztz 35 2 this this DT cord-316393-ozl28ztz 35 3 work work NN cord-316393-ozl28ztz 35 4 , , , cord-316393-ozl28ztz 35 5 we -PRON- PRP cord-316393-ozl28ztz 35 6 propose propose VBP cord-316393-ozl28ztz 35 7 a a DT cord-316393-ozl28ztz 35 8 simple simple JJ cord-316393-ozl28ztz 35 9 and and CC cord-316393-ozl28ztz 35 10 easy easy JJ cord-316393-ozl28ztz 35 11 - - HYPH cord-316393-ozl28ztz 35 12 to to TO cord-316393-ozl28ztz 35 13 - - HYPH cord-316393-ozl28ztz 35 14 use use VB cord-316393-ozl28ztz 35 15 epidemiological epidemiological JJ cord-316393-ozl28ztz 35 16 model model NN cord-316393-ozl28ztz 35 17 -the -the ADD cord-316393-ozl28ztz 35 18 Death death NN cord-316393-ozl28ztz 35 19 or or CC cord-316393-ozl28ztz 35 20 D d NN cord-316393-ozl28ztz 35 21 model model NN cord-316393-ozl28ztz 35 22 [ [ -LRB- cord-316393-ozl28ztz 35 23 14 14 CD cord-316393-ozl28ztz 35 24 ] ] -RRB- cord-316393-ozl28ztz 35 25 that that WDT cord-316393-ozl28ztz 35 26 can can MD cord-316393-ozl28ztz 35 27 be be VB cord-316393-ozl28ztz 35 28 compared compare VBN cord-316393-ozl28ztz 35 29 with with IN cord-316393-ozl28ztz 35 30 data datum NNS cord-316393-ozl28ztz 35 31 in in IN cord-316393-ozl28ztz 35 32 order order NN cord-316393-ozl28ztz 35 33 to to TO cord-316393-ozl28ztz 35 34 investigate investigate VB cord-316393-ozl28ztz 35 35 the the DT cord-316393-ozl28ztz 35 36 evolution evolution NN cord-316393-ozl28ztz 35 37 of of IN cord-316393-ozl28ztz 35 38 the the DT cord-316393-ozl28ztz 35 39 infection infection NN cord-316393-ozl28ztz 35 40 and and CC cord-316393-ozl28ztz 35 41 deviations deviation NNS cord-316393-ozl28ztz 35 42 from from IN cord-316393-ozl28ztz 35 43 the the DT cord-316393-ozl28ztz 35 44 predicted predict VBN cord-316393-ozl28ztz 35 45 trends trend NNS cord-316393-ozl28ztz 35 46 . . . cord-316393-ozl28ztz 36 1 The the DT cord-316393-ozl28ztz 36 2 D d NN cord-316393-ozl28ztz 36 3 model model NN cord-316393-ozl28ztz 36 4 is be VBZ cord-316393-ozl28ztz 36 5 a a DT cord-316393-ozl28ztz 36 6 simplified simplified JJ cord-316393-ozl28ztz 36 7 version version NN cord-316393-ozl28ztz 36 8 of of IN cord-316393-ozl28ztz 36 9 the the DT cord-316393-ozl28ztz 36 10 SIR SIR NNP cord-316393-ozl28ztz 36 11 model model NN cord-316393-ozl28ztz 36 12 with with IN cord-316393-ozl28ztz 36 13 analytical analytical JJ cord-316393-ozl28ztz 36 14 solutions solution NNS cord-316393-ozl28ztz 36 15 under under IN cord-316393-ozl28ztz 36 16 the the DT cord-316393-ozl28ztz 36 17 assumption assumption NN cord-316393-ozl28ztz 36 18 of of IN cord-316393-ozl28ztz 36 19 no no DT cord-316393-ozl28ztz 36 20 recovery recovery NN cord-316393-ozl28ztz 36 21 -at -at : cord-316393-ozl28ztz 36 22 least least JJS cord-316393-ozl28ztz 36 23 during during IN cord-316393-ozl28ztz 36 24 the the DT cord-316393-ozl28ztz 36 25 time time NN cord-316393-ozl28ztz 36 26 of of IN cord-316393-ozl28ztz 36 27 the the DT cord-316393-ozl28ztz 36 28 pandemic pandemic NN cord-316393-ozl28ztz 36 29 . . . cord-316393-ozl28ztz 37 1 We -PRON- PRP cord-316393-ozl28ztz 37 2 apply apply VBP cord-316393-ozl28ztz 37 3 it -PRON- PRP cord-316393-ozl28ztz 37 4 globally globally RB cord-316393-ozl28ztz 37 5 to to IN cord-316393-ozl28ztz 37 6 countries country NNS cord-316393-ozl28ztz 37 7 where where WRB cord-316393-ozl28ztz 37 8 the the DT cord-316393-ozl28ztz 37 9 infestation infestation NN cord-316393-ozl28ztz 37 10 of of IN cord-316393-ozl28ztz 37 11 the the DT cord-316393-ozl28ztz 37 12 COVID-19 covid-19 JJ cord-316393-ozl28ztz 37 13 coronavirus coronavirus NN cord-316393-ozl28ztz 37 14 has have VBZ cord-316393-ozl28ztz 37 15 widespread widespread JJ cord-316393-ozl28ztz 37 16 and and CC cord-316393-ozl28ztz 37 17 caused cause VBD cord-316393-ozl28ztz 37 18 thousands thousand NNS cord-316393-ozl28ztz 37 19 of of IN cord-316393-ozl28ztz 37 20 deaths death NNS cord-316393-ozl28ztz 37 21 [ [ -LRB- cord-316393-ozl28ztz 37 22 15 15 CD cord-316393-ozl28ztz 37 23 , , , cord-316393-ozl28ztz 37 24 16 16 CD cord-316393-ozl28ztz 37 25 ] ] -RRB- cord-316393-ozl28ztz 37 26 . . . cord-316393-ozl28ztz 38 1 Additionally additionally RB cord-316393-ozl28ztz 38 2 , , , cord-316393-ozl28ztz 38 3 D d NN cord-316393-ozl28ztz 38 4 - - HYPH cord-316393-ozl28ztz 38 5 model model NN cord-316393-ozl28ztz 38 6 calculations calculation NNS cord-316393-ozl28ztz 38 7 are be VBP cord-316393-ozl28ztz 38 8 benchmarked benchmarke VBN cord-316393-ozl28ztz 38 9 with with IN cord-316393-ozl28ztz 38 10 more more RBR cord-316393-ozl28ztz 38 11 sophisticated sophisticated JJ cord-316393-ozl28ztz 38 12 and and CC cord-316393-ozl28ztz 38 13 reliable reliable JJ cord-316393-ozl28ztz 38 14 calculations calculation NNS cord-316393-ozl28ztz 38 15 using use VBG cord-316393-ozl28ztz 38 16 the the DT cord-316393-ozl28ztz 38 17 extended extended JJ cord-316393-ozl28ztz 38 18 SIR SIR NNP cord-316393-ozl28ztz 38 19 ( ( -LRB- cord-316393-ozl28ztz 38 20 ESIR ESIR NNP cord-316393-ozl28ztz 38 21 ) ) -RRB- cord-316393-ozl28ztz 38 22 and and CC cord-316393-ozl28ztz 38 23 Monte Monte NNP cord-316393-ozl28ztz 38 24 Carlo Carlo NNP cord-316393-ozl28ztz 38 25 Planck Planck NNP cord-316393-ozl28ztz 38 26 ( ( -LRB- cord-316393-ozl28ztz 38 27 MCP MCP NNP cord-316393-ozl28ztz 38 28 ) ) -RRB- cord-316393-ozl28ztz 38 29 models model NNS cord-316393-ozl28ztz 38 30 -also -also RB cord-316393-ozl28ztz 38 31 developed develop VBD cord-316393-ozl28ztz 38 32 in in IN cord-316393-ozl28ztz 38 33 this this DT cord-316393-ozl28ztz 38 34 work work NN cord-316393-ozl28ztz 38 35 -which -which WDT cord-316393-ozl28ztz 38 36 provide provide VBP cord-316393-ozl28ztz 38 37 similar similar JJ cord-316393-ozl28ztz 38 38 results result NNS cord-316393-ozl28ztz 38 39 , , , cord-316393-ozl28ztz 38 40 but but CC cord-316393-ozl28ztz 38 41 allow allow VB cord-316393-ozl28ztz 38 42 for for IN cord-316393-ozl28ztz 38 43 a a DT cord-316393-ozl28ztz 38 44 more more RBR cord-316393-ozl28ztz 38 45 coherent coherent JJ cord-316393-ozl28ztz 38 46 spatial spatial JJ cord-316393-ozl28ztz 38 47 - - HYPH cord-316393-ozl28ztz 38 48 time time NN cord-316393-ozl28ztz 38 49 disentanglement disentanglement NN cord-316393-ozl28ztz 38 50 of of IN cord-316393-ozl28ztz 38 51 the the DT cord-316393-ozl28ztz 38 52 various various JJ cord-316393-ozl28ztz 38 53 effects effect NNS cord-316393-ozl28ztz 38 54 present present JJ cord-316393-ozl28ztz 38 55 during during IN cord-316393-ozl28ztz 38 56 a a DT cord-316393-ozl28ztz 38 57 pandemic pandemic NN cord-316393-ozl28ztz 38 58 . . . cord-316393-ozl28ztz 39 1 A a DT cord-316393-ozl28ztz 39 2 similar similar JJ cord-316393-ozl28ztz 39 3 ESIR ESIR NNP cord-316393-ozl28ztz 39 4 model model NN cord-316393-ozl28ztz 39 5 has have VBZ cord-316393-ozl28ztz 39 6 recently recently RB cord-316393-ozl28ztz 39 7 been be VBN cord-316393-ozl28ztz 39 8 proposed propose VBN cord-316393-ozl28ztz 39 9 by by IN cord-316393-ozl28ztz 39 10 Squillante Squillante NNP cord-316393-ozl28ztz 39 11 and and CC cord-316393-ozl28ztz 39 12 collaborators collaborator NNS cord-316393-ozl28ztz 39 13 for for IN cord-316393-ozl28ztz 39 14 infected infected JJ cord-316393-ozl28ztz 39 15 individuals individual NNS cord-316393-ozl28ztz 39 16 as as IN cord-316393-ozl28ztz 39 17 a a DT cord-316393-ozl28ztz 39 18 function function NN cord-316393-ozl28ztz 39 19 of of IN cord-316393-ozl28ztz 39 20 time time NN cord-316393-ozl28ztz 39 21 , , , cord-316393-ozl28ztz 39 22 based base VBN cord-316393-ozl28ztz 39 23 on on IN cord-316393-ozl28ztz 39 24 the the DT cord-316393-ozl28ztz 39 25 Ising Ising NNP cord-316393-ozl28ztz 39 26 model model NN cord-316393-ozl28ztz 40 1 -which -which NNP cord-316393-ozl28ztz 40 2 describes describe VBZ cord-316393-ozl28ztz 40 3 ferromagnetism ferromagnetism NN cord-316393-ozl28ztz 40 4 in in IN cord-316393-ozl28ztz 40 5 statistical statistical JJ cord-316393-ozl28ztz 40 6 mechanics mechanic NNS cord-316393-ozl28ztz 40 7 -and -and : cord-316393-ozl28ztz 40 8 a a DT cord-316393-ozl28ztz 40 9 Fermi Fermi NNP cord-316393-ozl28ztz 40 10 - - HYPH cord-316393-ozl28ztz 40 11 Dirac Dirac NNP cord-316393-ozl28ztz 40 12 distribution distribution NN cord-316393-ozl28ztz 40 13 [ [ -LRB- cord-316393-ozl28ztz 40 14 17 17 CD cord-316393-ozl28ztz 40 15 ] ] -RRB- cord-316393-ozl28ztz 40 16 . . . cord-316393-ozl28ztz 41 1 This this DT cord-316393-ozl28ztz 41 2 model model NN cord-316393-ozl28ztz 41 3 also also RB cord-316393-ozl28ztz 41 4 reproduces reproduce VBZ cord-316393-ozl28ztz 41 5 a a DT cord-316393-ozl28ztz 41 6 posteriori posteriori NN cord-316393-ozl28ztz 41 7 the the DT cord-316393-ozl28ztz 41 8 COVID-19 COVID-19 NNP cord-316393-ozl28ztz 41 9 data datum NNS cord-316393-ozl28ztz 41 10 for for IN cord-316393-ozl28ztz 41 11 infestations infestation NNS cord-316393-ozl28ztz 41 12 in in IN cord-316393-ozl28ztz 41 13 China China NNP cord-316393-ozl28ztz 41 14 as as RB cord-316393-ozl28ztz 41 15 well well RB cord-316393-ozl28ztz 41 16 as as IN cord-316393-ozl28ztz 41 17 other other JJ cord-316393-ozl28ztz 41 18 pandemics pandemic NNS cord-316393-ozl28ztz 41 19 such such JJ cord-316393-ozl28ztz 41 20 as as IN cord-316393-ozl28ztz 41 21 Ebola Ebola NNP cord-316393-ozl28ztz 41 22 , , , cord-316393-ozl28ztz 41 23 SARS SARS NNP cord-316393-ozl28ztz 41 24 , , , cord-316393-ozl28ztz 41 25 and and CC cord-316393-ozl28ztz 41 26 influenza influenza NN cord-316393-ozl28ztz 41 27 A A NNP cord-316393-ozl28ztz 41 28 / / SYM cord-316393-ozl28ztz 41 29 H1N1 H1N1 NNP cord-316393-ozl28ztz 41 30 . . . cord-316393-ozl28ztz 42 1 The the DT cord-316393-ozl28ztz 42 2 SIR SIR NNP cord-316393-ozl28ztz 42 3 model model NN cord-316393-ozl28ztz 42 4 considers consider VBZ cord-316393-ozl28ztz 42 5 the the DT cord-316393-ozl28ztz 42 6 three three CD cord-316393-ozl28ztz 42 7 possible possible JJ cord-316393-ozl28ztz 42 8 states state NNS cord-316393-ozl28ztz 42 9 of of IN cord-316393-ozl28ztz 42 10 the the DT cord-316393-ozl28ztz 42 11 members member NNS cord-316393-ozl28ztz 42 12 of of IN cord-316393-ozl28ztz 42 13 a a DT cord-316393-ozl28ztz 42 14 closed closed JJ cord-316393-ozl28ztz 42 15 population population NN cord-316393-ozl28ztz 42 16 affected affect VBN cord-316393-ozl28ztz 42 17 by by IN cord-316393-ozl28ztz 42 18 a a DT cord-316393-ozl28ztz 42 19 contagious contagious JJ cord-316393-ozl28ztz 42 20 disease disease NN cord-316393-ozl28ztz 42 21 . . . cord-316393-ozl28ztz 43 1 It -PRON- PRP cord-316393-ozl28ztz 43 2 is be VBZ cord-316393-ozl28ztz 43 3 , , , cord-316393-ozl28ztz 43 4 therefore therefore RB cord-316393-ozl28ztz 43 5 , , , cord-316393-ozl28ztz 43 6 characterized characterize VBN cord-316393-ozl28ztz 43 7 by by IN cord-316393-ozl28ztz 43 8 a a DT cord-316393-ozl28ztz 43 9 system system NN cord-316393-ozl28ztz 43 10 of of IN cord-316393-ozl28ztz 43 11 three three CD cord-316393-ozl28ztz 43 12 coupled couple VBN cord-316393-ozl28ztz 43 13 non non JJ cord-316393-ozl28ztz 43 14 - - JJ cord-316393-ozl28ztz 43 15 linear linear JJ cord-316393-ozl28ztz 43 16 ordinary ordinary JJ cord-316393-ozl28ztz 43 17 differential differential JJ cord-316393-ozl28ztz 43 18 equations equation NNS cord-316393-ozl28ztz 43 19 [ [ -LRB- cord-316393-ozl28ztz 43 20 18 18 CD cord-316393-ozl28ztz 43 21 ] ] -RRB- cord-316393-ozl28ztz 43 22 , , , cord-316393-ozl28ztz 43 23 which which WDT cord-316393-ozl28ztz 43 24 involve involve VBP cord-316393-ozl28ztz 43 25 three three CD cord-316393-ozl28ztz 43 26 time time NN cord-316393-ozl28ztz 43 27 - - HYPH cord-316393-ozl28ztz 43 28 dependent dependent JJ cord-316393-ozl28ztz 43 29 functions function NNS cord-316393-ozl28ztz 43 30 : : : cord-316393-ozl28ztz 44 1 • • NNP cord-316393-ozl28ztz 45 1 Susceptible susceptible JJ cord-316393-ozl28ztz 45 2 individuals individual NNS cord-316393-ozl28ztz 45 3 , , , cord-316393-ozl28ztz 45 4 S(t S(t NNPS cord-316393-ozl28ztz 45 5 ) ) -RRB- cord-316393-ozl28ztz 45 6 , , , cord-316393-ozl28ztz 45 7 at at IN cord-316393-ozl28ztz 45 8 risk risk NN cord-316393-ozl28ztz 45 9 of of IN cord-316393-ozl28ztz 45 10 becoming become VBG cord-316393-ozl28ztz 45 11 infected infect VBN cord-316393-ozl28ztz 45 12 by by IN cord-316393-ozl28ztz 45 13 the the DT cord-316393-ozl28ztz 45 14 disease disease NN cord-316393-ozl28ztz 45 15 . . . cord-316393-ozl28ztz 46 1 • • NNP cord-316393-ozl28ztz 47 1 Infected infected JJ cord-316393-ozl28ztz 47 2 individuals individual NNS cord-316393-ozl28ztz 47 3 , , , cord-316393-ozl28ztz 47 4 I(t I(t NNP cord-316393-ozl28ztz 47 5 ) ) -RRB- cord-316393-ozl28ztz 47 6 . . . cord-316393-ozl28ztz 48 1 • • NNP cord-316393-ozl28ztz 49 1 Recovered recover VBN cord-316393-ozl28ztz 49 2 or or CC cord-316393-ozl28ztz 49 3 removed remove VBN cord-316393-ozl28ztz 49 4 individuals individual NNS cord-316393-ozl28ztz 49 5 , , , cord-316393-ozl28ztz 49 6 R(t R(t NNP cord-316393-ozl28ztz 49 7 ) ) -RRB- cord-316393-ozl28ztz 49 8 , , , cord-316393-ozl28ztz 49 9 who who WP cord-316393-ozl28ztz 49 10 were be VBD cord-316393-ozl28ztz 49 11 infected infect VBN cord-316393-ozl28ztz 49 12 and and CC cord-316393-ozl28ztz 49 13 may may MD cord-316393-ozl28ztz 49 14 have have VB cord-316393-ozl28ztz 49 15 developed develop VBN cord-316393-ozl28ztz 49 16 an an DT cord-316393-ozl28ztz 49 17 immunity immunity NN cord-316393-ozl28ztz 49 18 system system NN cord-316393-ozl28ztz 49 19 or or CC cord-316393-ozl28ztz 49 20 die die VB cord-316393-ozl28ztz 49 21 . . . cord-316393-ozl28ztz 50 1 The the DT cord-316393-ozl28ztz 50 2 SIR SIR NNP cord-316393-ozl28ztz 50 3 model model NN cord-316393-ozl28ztz 50 4 describes describe VBZ cord-316393-ozl28ztz 50 5 well well RB cord-316393-ozl28ztz 50 6 a a DT cord-316393-ozl28ztz 50 7 viral viral JJ cord-316393-ozl28ztz 50 8 disease disease NN cord-316393-ozl28ztz 50 9 , , , cord-316393-ozl28ztz 50 10 where where WRB cord-316393-ozl28ztz 50 11 individuals individual NNS cord-316393-ozl28ztz 50 12 typically typically RB cord-316393-ozl28ztz 50 13 go go VBP cord-316393-ozl28ztz 50 14 from from IN cord-316393-ozl28ztz 50 15 the the DT cord-316393-ozl28ztz 50 16 susceptible susceptible JJ cord-316393-ozl28ztz 50 17 class class NN cord-316393-ozl28ztz 50 18 S s NN cord-316393-ozl28ztz 50 19 to to IN cord-316393-ozl28ztz 50 20 the the DT cord-316393-ozl28ztz 50 21 infected infected JJ cord-316393-ozl28ztz 50 22 class class NN cord-316393-ozl28ztz 50 23 I i NN cord-316393-ozl28ztz 50 24 , , , cord-316393-ozl28ztz 50 25 and and CC cord-316393-ozl28ztz 50 26 finally finally RB cord-316393-ozl28ztz 50 27 to to IN cord-316393-ozl28ztz 50 28 the the DT cord-316393-ozl28ztz 50 29 removed remove VBN cord-316393-ozl28ztz 50 30 class class NN cord-316393-ozl28ztz 50 31 R. R. NNP cord-316393-ozl28ztz 50 32 Recovered recover VBN cord-316393-ozl28ztz 50 33 individuals individual NNS cord-316393-ozl28ztz 50 34 can can MD cord-316393-ozl28ztz 50 35 not not RB cord-316393-ozl28ztz 50 36 go go VB cord-316393-ozl28ztz 50 37 back back RB cord-316393-ozl28ztz 50 38 to to TO cord-316393-ozl28ztz 50 39 be be VB cord-316393-ozl28ztz 50 40 susceptible susceptible JJ cord-316393-ozl28ztz 50 41 or or CC cord-316393-ozl28ztz 50 42 infected infected JJ cord-316393-ozl28ztz 50 43 classes class NNS cord-316393-ozl28ztz 50 44 , , , cord-316393-ozl28ztz 50 45 as as IN cord-316393-ozl28ztz 50 46 it -PRON- PRP cord-316393-ozl28ztz 50 47 is be VBZ cord-316393-ozl28ztz 50 48 , , , cord-316393-ozl28ztz 50 49 potentially potentially RB cord-316393-ozl28ztz 50 50 , , , cord-316393-ozl28ztz 50 51 the the DT cord-316393-ozl28ztz 50 52 case case NN cord-316393-ozl28ztz 50 53 of of IN cord-316393-ozl28ztz 50 54 bacterial bacterial JJ cord-316393-ozl28ztz 50 55 infection infection NN cord-316393-ozl28ztz 50 56 . . . cord-316393-ozl28ztz 51 1 The the DT cord-316393-ozl28ztz 51 2 resulting result VBG cord-316393-ozl28ztz 51 3 transmission transmission NN cord-316393-ozl28ztz 51 4 - - HYPH cord-316393-ozl28ztz 51 5 dynamics dynamic NNS cord-316393-ozl28ztz 51 6 system system NN cord-316393-ozl28ztz 51 7 for for IN cord-316393-ozl28ztz 51 8 a a DT cord-316393-ozl28ztz 51 9 closed closed JJ cord-316393-ozl28ztz 51 10 population population NN cord-316393-ozl28ztz 51 11 is be VBZ cord-316393-ozl28ztz 51 12 described describe VBN cord-316393-ozl28ztz 51 13 by by IN cord-316393-ozl28ztz 51 14 where where WRB cord-316393-ozl28ztz 51 15 λ λ NN cord-316393-ozl28ztz 51 16 > > XX cord-316393-ozl28ztz 52 1 0 0 NFP cord-316393-ozl28ztz 52 2 is be VBZ cord-316393-ozl28ztz 52 3 the the DT cord-316393-ozl28ztz 52 4 transmission transmission NN cord-316393-ozl28ztz 52 5 or or CC cord-316393-ozl28ztz 52 6 spreading spreading NN cord-316393-ozl28ztz 52 7 rate rate NN cord-316393-ozl28ztz 52 8 , , , cord-316393-ozl28ztz 52 9 β β NN cord-316393-ozl28ztz 52 10 > > XX cord-316393-ozl28ztz 52 11 0 0 NFP cord-316393-ozl28ztz 52 12 is be VBZ cord-316393-ozl28ztz 52 13 the the DT cord-316393-ozl28ztz 52 14 removal removal NN cord-316393-ozl28ztz 52 15 rate rate NN cord-316393-ozl28ztz 52 16 and and CC cord-316393-ozl28ztz 52 17 N n NN cord-316393-ozl28ztz 52 18 is be VBZ cord-316393-ozl28ztz 52 19 the the DT cord-316393-ozl28ztz 52 20 fixed fix VBN cord-316393-ozl28ztz 52 21 population population NN cord-316393-ozl28ztz 52 22 size size NN cord-316393-ozl28ztz 52 23 , , , cord-316393-ozl28ztz 52 24 which which WDT cord-316393-ozl28ztz 52 25 implies imply VBZ cord-316393-ozl28ztz 52 26 that that IN cord-316393-ozl28ztz 52 27 the the DT cord-316393-ozl28ztz 52 28 model model NN cord-316393-ozl28ztz 52 29 neglects neglect VBZ cord-316393-ozl28ztz 52 30 the the DT cord-316393-ozl28ztz 52 31 effects effect NNS cord-316393-ozl28ztz 52 32 of of IN cord-316393-ozl28ztz 52 33 spatial spatial JJ cord-316393-ozl28ztz 52 34 migration migration NN cord-316393-ozl28ztz 52 35 . . . cord-316393-ozl28ztz 53 1 Currently currently RB cord-316393-ozl28ztz 53 2 , , , cord-316393-ozl28ztz 53 3 there there EX cord-316393-ozl28ztz 53 4 is be VBZ cord-316393-ozl28ztz 53 5 no no DT cord-316393-ozl28ztz 53 6 vaccination vaccination NN cord-316393-ozl28ztz 53 7 available available JJ cord-316393-ozl28ztz 53 8 for for IN cord-316393-ozl28ztz 53 9 COVID-19 COVID-19 NNP cord-316393-ozl28ztz 53 10 , , , cord-316393-ozl28ztz 53 11 and and CC cord-316393-ozl28ztz 53 12 the the DT cord-316393-ozl28ztz 53 13 only only JJ cord-316393-ozl28ztz 53 14 way way NN cord-316393-ozl28ztz 53 15 to to TO cord-316393-ozl28ztz 53 16 reduce reduce VB cord-316393-ozl28ztz 53 17 the the DT cord-316393-ozl28ztz 53 18 transmission transmission NN cord-316393-ozl28ztz 53 19 or or CC cord-316393-ozl28ztz 53 20 infection infection NN cord-316393-ozl28ztz 53 21 rate rate NN cord-316393-ozl28ztz 53 22 λ λ NN cord-316393-ozl28ztz 53 23 -which -which WDT cord-316393-ozl28ztz 53 24 is be VBZ cord-316393-ozl28ztz 53 25 often often RB cord-316393-ozl28ztz 53 26 referred refer VBN cord-316393-ozl28ztz 53 27 to to IN cord-316393-ozl28ztz 53 28 as as IN cord-316393-ozl28ztz 53 29 " " `` cord-316393-ozl28ztz 53 30 flattening flatten VBG cord-316393-ozl28ztz 53 31 the the DT cord-316393-ozl28ztz 53 32 curve"-is curve"-is NN cord-316393-ozl28ztz 53 33 by by IN cord-316393-ozl28ztz 53 34 implementing implement VBG cord-316393-ozl28ztz 53 35 strong strong JJ cord-316393-ozl28ztz 53 36 social social JJ cord-316393-ozl28ztz 53 37 distancing distancing NN cord-316393-ozl28ztz 53 38 and and CC cord-316393-ozl28ztz 53 39 hygiene hygiene NN cord-316393-ozl28ztz 53 40 measures measure NNS cord-316393-ozl28ztz 53 41 . . . cord-316393-ozl28ztz 54 1 The the DT cord-316393-ozl28ztz 54 2 system system NN cord-316393-ozl28ztz 54 3 is be VBZ cord-316393-ozl28ztz 54 4 reduced reduce VBN cord-316393-ozl28ztz 54 5 to to IN cord-316393-ozl28ztz 54 6 a a DT cord-316393-ozl28ztz 54 7 first first JJ cord-316393-ozl28ztz 54 8 - - HYPH cord-316393-ozl28ztz 54 9 order order NN cord-316393-ozl28ztz 54 10 differential differential JJ cord-316393-ozl28ztz 54 11 equation equation NN cord-316393-ozl28ztz 54 12 , , , cord-316393-ozl28ztz 54 13 which which WDT cord-316393-ozl28ztz 54 14 does do VBZ cord-316393-ozl28ztz 54 15 not not RB cord-316393-ozl28ztz 54 16 possess possess VB cord-316393-ozl28ztz 54 17 an an DT cord-316393-ozl28ztz 54 18 explicit explicit JJ cord-316393-ozl28ztz 54 19 solution solution NN cord-316393-ozl28ztz 54 20 , , , cord-316393-ozl28ztz 54 21 but but CC cord-316393-ozl28ztz 54 22 can can MD cord-316393-ozl28ztz 54 23 be be VB cord-316393-ozl28ztz 54 24 solved solve VBN cord-316393-ozl28ztz 54 25 numerically numerically RB cord-316393-ozl28ztz 54 26 . . . cord-316393-ozl28ztz 55 1 The the DT cord-316393-ozl28ztz 55 2 SIR SIR NNP cord-316393-ozl28ztz 55 3 model model NN cord-316393-ozl28ztz 55 4 can can MD cord-316393-ozl28ztz 55 5 then then RB cord-316393-ozl28ztz 55 6 be be VB cord-316393-ozl28ztz 55 7 parametrized parametrize VBN cord-316393-ozl28ztz 55 8 using use VBG cord-316393-ozl28ztz 55 9 actual actual JJ cord-316393-ozl28ztz 55 10 infection infection NN cord-316393-ozl28ztz 55 11 data datum NNS cord-316393-ozl28ztz 55 12 to to TO cord-316393-ozl28ztz 55 13 solve solve VB cord-316393-ozl28ztz 55 14 I(t I(t NNP cord-316393-ozl28ztz 55 15 ) ) -RRB- cord-316393-ozl28ztz 55 16 , , , cord-316393-ozl28ztz 55 17 in in IN cord-316393-ozl28ztz 55 18 order order NN cord-316393-ozl28ztz 55 19 to to TO cord-316393-ozl28ztz 55 20 investigate investigate VB cord-316393-ozl28ztz 55 21 the the DT cord-316393-ozl28ztz 55 22 evolution evolution NN cord-316393-ozl28ztz 55 23 of of IN cord-316393-ozl28ztz 55 24 the the DT cord-316393-ozl28ztz 55 25 disease disease NN cord-316393-ozl28ztz 55 26 . . . cord-316393-ozl28ztz 56 1 In in IN cord-316393-ozl28ztz 56 2 the the DT cord-316393-ozl28ztz 56 3 D d NN cord-316393-ozl28ztz 56 4 model model NN cord-316393-ozl28ztz 56 5 , , , cord-316393-ozl28ztz 56 6 we -PRON- PRP cord-316393-ozl28ztz 56 7 make make VBP cord-316393-ozl28ztz 56 8 the the DT cord-316393-ozl28ztz 56 9 drastic drastic JJ cord-316393-ozl28ztz 56 10 assumption assumption NN cord-316393-ozl28ztz 56 11 of of IN cord-316393-ozl28ztz 56 12 no no DT cord-316393-ozl28ztz 56 13 recovery recovery NN cord-316393-ozl28ztz 56 14 in in IN cord-316393-ozl28ztz 56 15 order order NN cord-316393-ozl28ztz 56 16 to to TO cord-316393-ozl28ztz 56 17 obtain obtain VB cord-316393-ozl28ztz 56 18 an an DT cord-316393-ozl28ztz 56 19 analytical analytical JJ cord-316393-ozl28ztz 56 20 formula formula NN cord-316393-ozl28ztz 56 21 to to TO cord-316393-ozl28ztz 56 22 describe describe VB cord-316393-ozl28ztz 56 23 -instead -instead NN cord-316393-ozl28ztz 56 24 of of IN cord-316393-ozl28ztz 56 25 infestations infestation NNS cord-316393-ozl28ztz 56 26 -the -the ADD cord-316393-ozl28ztz 57 1 death death NN cord-316393-ozl28ztz 57 2 evolution evolution NN cord-316393-ozl28ztz 57 3 by by IN cord-316393-ozl28ztz 57 4 This this DT cord-316393-ozl28ztz 57 5 can can MD cord-316393-ozl28ztz 57 6 be be VB cord-316393-ozl28ztz 57 7 useful useful JJ cord-316393-ozl28ztz 57 8 as as IN cord-316393-ozl28ztz 57 9 a a DT cord-316393-ozl28ztz 57 10 fast fast JJ cord-316393-ozl28ztz 57 11 method method NN cord-316393-ozl28ztz 57 12 to to TO cord-316393-ozl28ztz 57 13 foresee foresee VB cord-316393-ozl28ztz 57 14 the the DT cord-316393-ozl28ztz 57 15 global global JJ cord-316393-ozl28ztz 57 16 behavior behavior NN cord-316393-ozl28ztz 57 17 as as IN cord-316393-ozl28ztz 57 18 a a DT cord-316393-ozl28ztz 57 19 first first JJ cord-316393-ozl28ztz 57 20 approach approach NN cord-316393-ozl28ztz 57 21 , , , cord-316393-ozl28ztz 57 22 before before IN cord-316393-ozl28ztz 57 23 applying apply VBG cord-316393-ozl28ztz 57 24 more more RBR cord-316393-ozl28ztz 57 25 sophisticated sophisticated JJ cord-316393-ozl28ztz 57 26 methods method NNS cord-316393-ozl28ztz 57 27 . . . cord-316393-ozl28ztz 58 1 We -PRON- PRP cord-316393-ozl28ztz 58 2 shall shall MD cord-316393-ozl28ztz 58 3 see see VB cord-316393-ozl28ztz 58 4 that that IN cord-316393-ozl28ztz 58 5 the the DT cord-316393-ozl28ztz 58 6 resulting result VBG cord-316393-ozl28ztz 58 7 D d NN cord-316393-ozl28ztz 58 8 model model NN cord-316393-ozl28ztz 58 9 describes describe VBZ cord-316393-ozl28ztz 58 10 well well RB cord-316393-ozl28ztz 58 11 enough enough RB cord-316393-ozl28ztz 58 12 the the DT cord-316393-ozl28ztz 58 13 data datum NNS cord-316393-ozl28ztz 58 14 of of IN cord-316393-ozl28ztz 58 15 the the DT cord-316393-ozl28ztz 58 16 current current JJ cord-316393-ozl28ztz 58 17 pandemics pandemic NNS cord-316393-ozl28ztz 58 18 in in IN cord-316393-ozl28ztz 58 19 different different JJ cord-316393-ozl28ztz 58 20 countries country NNS cord-316393-ozl28ztz 58 21 . . . cord-316393-ozl28ztz 59 1 The the DT cord-316393-ozl28ztz 59 2 main main JJ cord-316393-ozl28ztz 59 3 assumption assumption NN cord-316393-ozl28ztz 59 4 of of IN cord-316393-ozl28ztz 59 5 the the DT cord-316393-ozl28ztz 59 6 D D NNP cord-316393-ozl28ztz 59 7 model model NN cord-316393-ozl28ztz 59 8 is be VBZ cord-316393-ozl28ztz 59 9 the the DT cord-316393-ozl28ztz 59 10 absence absence NN cord-316393-ozl28ztz 59 11 of of IN cord-316393-ozl28ztz 59 12 recovery recovery NN cord-316393-ozl28ztz 59 13 from from IN cord-316393-ozl28ztz 59 14 coronavirus coronavirus NN cord-316393-ozl28ztz 59 15 , , , cord-316393-ozl28ztz 59 16 i.e. i.e. FW cord-316393-ozl28ztz 59 17 R(t r(t NN cord-316393-ozl28ztz 59 18 ) ) -RRB- cord-316393-ozl28ztz 59 19 = = SYM cord-316393-ozl28ztz 59 20 0 0 CD cord-316393-ozl28ztz 59 21 , , , cord-316393-ozl28ztz 59 22 at at IN cord-316393-ozl28ztz 59 23 least least JJS cord-316393-ozl28ztz 59 24 during during IN cord-316393-ozl28ztz 59 25 the the DT cord-316393-ozl28ztz 59 26 pandemic pandemic NN cord-316393-ozl28ztz 59 27 time time NN cord-316393-ozl28ztz 59 28 interval interval NN cord-316393-ozl28ztz 59 29 . . . cord-316393-ozl28ztz 60 1 This this DT cord-316393-ozl28ztz 60 2 assumption assumption NN cord-316393-ozl28ztz 60 3 may may MD cord-316393-ozl28ztz 60 4 be be VB cord-316393-ozl28ztz 60 5 reasonable reasonable JJ cord-316393-ozl28ztz 60 6 if if IN cord-316393-ozl28ztz 60 7 the the DT cord-316393-ozl28ztz 60 8 spreading spread VBG cord-316393-ozl28ztz 60 9 time time NN cord-316393-ozl28ztz 60 10 of of IN cord-316393-ozl28ztz 60 11 the the DT cord-316393-ozl28ztz 60 12 pandemic pandemic NN cord-316393-ozl28ztz 60 13 is be VBZ cord-316393-ozl28ztz 60 14 much much RB cord-316393-ozl28ztz 60 15 faster fast JJR cord-316393-ozl28ztz 60 16 than than IN cord-316393-ozl28ztz 60 17 the the DT cord-316393-ozl28ztz 60 18 recovery recovery NN cord-316393-ozl28ztz 60 19 time time NN cord-316393-ozl28ztz 60 20 , , , cord-316393-ozl28ztz 60 21 i.e. i.e. FW cord-316393-ozl28ztz 60 22 λ λ NN cord-316393-ozl28ztz 60 23 β β NN cord-316393-ozl28ztz 60 24 . . . cord-316393-ozl28ztz 61 1 The the DT cord-316393-ozl28ztz 61 2 SIR SIR NNP cord-316393-ozl28ztz 61 3 equations equation NNS cord-316393-ozl28ztz 61 4 are be VBP cord-316393-ozl28ztz 61 5 then then RB cord-316393-ozl28ztz 61 6 reduced reduce VBN cord-316393-ozl28ztz 61 7 to to IN cord-316393-ozl28ztz 61 8 the the DT cord-316393-ozl28ztz 61 9 single single JJ cord-316393-ozl28ztz 61 10 equation equation NN cord-316393-ozl28ztz 61 11 of of IN cord-316393-ozl28ztz 61 12 the the DT cord-316393-ozl28ztz 61 13 well well RB cord-316393-ozl28ztz 61 14 - - HYPH cord-316393-ozl28ztz 61 15 known know VBN cord-316393-ozl28ztz 61 16 SI si NN cord-316393-ozl28ztz 61 17 model model NN cord-316393-ozl28ztz 61 18 , , , cord-316393-ozl28ztz 61 19 which which WDT cord-316393-ozl28ztz 61 20 represents represent VBZ cord-316393-ozl28ztz 61 21 the the DT cord-316393-ozl28ztz 61 22 simplest simple JJS cord-316393-ozl28ztz 61 23 mathematical mathematical JJ cord-316393-ozl28ztz 61 24 form form NN cord-316393-ozl28ztz 61 25 of of IN cord-316393-ozl28ztz 61 26 all all DT cord-316393-ozl28ztz 61 27 disease disease NN cord-316393-ozl28ztz 61 28 models model NNS cord-316393-ozl28ztz 61 29 , , , cord-316393-ozl28ztz 61 30 where where WRB cord-316393-ozl28ztz 61 31 the the DT cord-316393-ozl28ztz 61 32 infection infection NN cord-316393-ozl28ztz 61 33 rate rate NN cord-316393-ozl28ztz 61 34 is be VBZ cord-316393-ozl28ztz 61 35 proportional proportional JJ cord-316393-ozl28ztz 61 36 to to IN cord-316393-ozl28ztz 61 37 both both PDT cord-316393-ozl28ztz 61 38 the the DT cord-316393-ozl28ztz 61 39 infected infected JJ cord-316393-ozl28ztz 61 40 , , , cord-316393-ozl28ztz 61 41 I -PRON- PRP cord-316393-ozl28ztz 61 42 , , , cord-316393-ozl28ztz 61 43 and and CC cord-316393-ozl28ztz 61 44 susceptible susceptible JJ cord-316393-ozl28ztz 61 45 individuals individual NNS cord-316393-ozl28ztz 62 1 N N NNP cord-316393-ozl28ztz 62 2 −I. −i. CC cord-316393-ozl28ztz 63 1 where where WRB cord-316393-ozl28ztz 63 2 we -PRON- PRP cord-316393-ozl28ztz 63 3 have have VBP cord-316393-ozl28ztz 63 4 defined define VBN cord-316393-ozl28ztz 63 5 the the DT cord-316393-ozl28ztz 63 6 constants constant NNS cord-316393-ozl28ztz 63 7 The the DT cord-316393-ozl28ztz 63 8 parameter parameter NN cord-316393-ozl28ztz 63 9 b b NN cord-316393-ozl28ztz 63 10 is be VBZ cord-316393-ozl28ztz 63 11 the the DT cord-316393-ozl28ztz 63 12 characteristic characteristic JJ cord-316393-ozl28ztz 63 13 evolution evolution NN cord-316393-ozl28ztz 63 14 time time NN cord-316393-ozl28ztz 63 15 of of IN cord-316393-ozl28ztz 63 16 the the DT cord-316393-ozl28ztz 63 17 initial initial JJ cord-316393-ozl28ztz 63 18 exponential exponential JJ cord-316393-ozl28ztz 63 19 increase increase NN cord-316393-ozl28ztz 63 20 of of IN cord-316393-ozl28ztz 63 21 the the DT cord-316393-ozl28ztz 63 22 pandemic pandemic NN cord-316393-ozl28ztz 63 23 . . . cord-316393-ozl28ztz 64 1 The the DT cord-316393-ozl28ztz 64 2 constant constant JJ cord-316393-ozl28ztz 64 3 C c NN cord-316393-ozl28ztz 64 4 is be VBZ cord-316393-ozl28ztz 64 5 the the DT cord-316393-ozl28ztz 64 6 initial initial JJ cord-316393-ozl28ztz 64 7 infestation infestation NN cord-316393-ozl28ztz 64 8 rate rate NN cord-316393-ozl28ztz 64 9 with with IN cord-316393-ozl28ztz 64 10 respect respect NN cord-316393-ozl28ztz 64 11 to to IN cord-316393-ozl28ztz 64 12 the the DT cord-316393-ozl28ztz 64 13 total total JJ cord-316393-ozl28ztz 64 14 population population NN cord-316393-ozl28ztz 64 15 N. n. NN cord-316393-ozl28ztz 65 1 Assuming assume VBG cord-316393-ozl28ztz 65 2 C c NN cord-316393-ozl28ztz 65 3 1 1 CD cord-316393-ozl28ztz 65 4 , , , cord-316393-ozl28ztz 66 1 In in IN cord-316393-ozl28ztz 66 2 order order NN cord-316393-ozl28ztz 66 3 to to TO cord-316393-ozl28ztz 66 4 predict predict VB cord-316393-ozl28ztz 66 5 the the DT cord-316393-ozl28ztz 66 6 number number NN cord-316393-ozl28ztz 66 7 of of IN cord-316393-ozl28ztz 66 8 deaths death NNS cord-316393-ozl28ztz 66 9 in in IN cord-316393-ozl28ztz 66 10 the the DT cord-316393-ozl28ztz 66 11 D d NN cord-316393-ozl28ztz 66 12 model model NN cord-316393-ozl28ztz 66 13 we -PRON- PRP cord-316393-ozl28ztz 66 14 assume assume VBP cord-316393-ozl28ztz 66 15 that that IN cord-316393-ozl28ztz 66 16 the the DT cord-316393-ozl28ztz 66 17 number number NN cord-316393-ozl28ztz 66 18 of of IN cord-316393-ozl28ztz 66 19 deaths death NNS cord-316393-ozl28ztz 66 20 at at IN cord-316393-ozl28ztz 66 21 some some DT cord-316393-ozl28ztz 66 22 time time NN cord-316393-ozl28ztz 66 23 t t NN cord-316393-ozl28ztz 66 24 is be VBZ cord-316393-ozl28ztz 66 25 proportional proportional JJ cord-316393-ozl28ztz 66 26 to to IN cord-316393-ozl28ztz 66 27 the the DT cord-316393-ozl28ztz 66 28 infestation infestation NN cord-316393-ozl28ztz 66 29 at at IN cord-316393-ozl28ztz 66 30 some some DT cord-316393-ozl28ztz 66 31 former former JJ cord-316393-ozl28ztz 66 32 time time NN cord-316393-ozl28ztz 66 33 τ τ NN cord-316393-ozl28ztz 66 34 , , , cord-316393-ozl28ztz 66 35 that that RB cord-316393-ozl28ztz 66 36 is is RB cord-316393-ozl28ztz 66 37 , , , cord-316393-ozl28ztz 66 38 where where WRB cord-316393-ozl28ztz 66 39 µ µ NN cord-316393-ozl28ztz 66 40 is be VBZ cord-316393-ozl28ztz 66 41 the the DT cord-316393-ozl28ztz 66 42 death death NN cord-316393-ozl28ztz 66 43 rate rate NN cord-316393-ozl28ztz 66 44 , , , cord-316393-ozl28ztz 66 45 and and CC cord-316393-ozl28ztz 66 46 τ τ NN cord-316393-ozl28ztz 66 47 is be VBZ cord-316393-ozl28ztz 66 48 the the DT cord-316393-ozl28ztz 66 49 death death NN cord-316393-ozl28ztz 66 50 time time NN cord-316393-ozl28ztz 66 51 . . . cord-316393-ozl28ztz 67 1 With with IN cord-316393-ozl28ztz 67 2 this this DT cord-316393-ozl28ztz 67 3 assumption assumption NN cord-316393-ozl28ztz 67 4 we -PRON- PRP cord-316393-ozl28ztz 67 5 can can MD cord-316393-ozl28ztz 67 6 finally finally RB cord-316393-ozl28ztz 67 7 write write VB cord-316393-ozl28ztz 67 8 the the DT cord-316393-ozl28ztz 67 9 D d NN cord-316393-ozl28ztz 67 10 - - HYPH cord-316393-ozl28ztz 67 11 model model NN cord-316393-ozl28ztz 67 12 equation equation NN cord-316393-ozl28ztz 67 13 as as IN cord-316393-ozl28ztz 67 14 where where WRB cord-316393-ozl28ztz 67 15 a a DT cord-316393-ozl28ztz 67 16 = = SYM cord-316393-ozl28ztz 67 17 µI µi NN cord-316393-ozl28ztz 67 18 0 0 CD cord-316393-ozl28ztz 67 19 e e NN cord-316393-ozl28ztz 67 20 −τ −τ NNP cord-316393-ozl28ztz 67 21 / / SYM cord-316393-ozl28ztz 67 22 b b NN cord-316393-ozl28ztz 67 23 , , , cord-316393-ozl28ztz 67 24 c c NN cord-316393-ozl28ztz 67 25 = = SYM cord-316393-ozl28ztz 67 26 C c NN cord-316393-ozl28ztz 67 27 e e NNP cord-316393-ozl28ztz 67 28 −τ −τ NNP cord-316393-ozl28ztz 67 29 / / SYM cord-316393-ozl28ztz 67 30 b b NNP cord-316393-ozl28ztz 67 31 , , , cord-316393-ozl28ztz 67 32 and and CC cord-316393-ozl28ztz 67 33 a a DT cord-316393-ozl28ztz 67 34 / / SYM cord-316393-ozl28ztz 67 35 c c NN cord-316393-ozl28ztz 67 36 yields yield VBZ cord-316393-ozl28ztz 67 37 the the DT cord-316393-ozl28ztz 67 38 total total JJ cord-316393-ozl28ztz 67 39 number number NN cord-316393-ozl28ztz 67 40 of of IN cord-316393-ozl28ztz 67 41 deaths death NNS cord-316393-ozl28ztz 67 42 predicted predict VBN cord-316393-ozl28ztz 67 43 by by IN cord-316393-ozl28ztz 67 44 the the DT cord-316393-ozl28ztz 67 45 model model NN cord-316393-ozl28ztz 67 46 . . . cord-316393-ozl28ztz 68 1 This this DT cord-316393-ozl28ztz 68 2 is be VBZ cord-316393-ozl28ztz 68 3 the the DT cord-316393-ozl28ztz 68 4 final final JJ cord-316393-ozl28ztz 68 5 equation equation NN cord-316393-ozl28ztz 68 6 for for IN cord-316393-ozl28ztz 68 7 the the DT cord-316393-ozl28ztz 68 8 D d NN cord-316393-ozl28ztz 68 9 - - HYPH cord-316393-ozl28ztz 68 10 model model NN cord-316393-ozl28ztz 68 11 , , , cord-316393-ozl28ztz 68 12 which which WDT cord-316393-ozl28ztz 68 13 presents present VBZ cord-316393-ozl28ztz 68 14 a a DT cord-316393-ozl28ztz 68 15 similar similar JJ cord-316393-ozl28ztz 68 16 shape shape NN cord-316393-ozl28ztz 68 17 to to IN cord-316393-ozl28ztz 68 18 the the DT cord-316393-ozl28ztz 68 19 well well RB cord-316393-ozl28ztz 68 20 - - HYPH cord-316393-ozl28ztz 68 21 known know VBN cord-316393-ozl28ztz 68 22 Woods Woods NNP cord-316393-ozl28ztz 68 23 - - HYPH cord-316393-ozl28ztz 68 24 Saxon Saxon NNP cord-316393-ozl28ztz 68 25 potential potential NN cord-316393-ozl28ztz 68 26 for for IN cord-316393-ozl28ztz 68 27 the the DT cord-316393-ozl28ztz 68 28 nucleons nucleon NNS cord-316393-ozl28ztz 68 29 inside inside IN cord-316393-ozl28ztz 68 30 the the DT cord-316393-ozl28ztz 68 31 atomic atomic JJ cord-316393-ozl28ztz 68 32 nucleus nucleus NN cord-316393-ozl28ztz 68 33 or or CC cord-316393-ozl28ztz 68 34 the the DT cord-316393-ozl28ztz 68 35 bacterial bacterial JJ cord-316393-ozl28ztz 68 36 growth growth NN cord-316393-ozl28ztz 68 37 curve curve NN cord-316393-ozl28ztz 68 38 . . . cord-316393-ozl28ztz 69 1 The the DT cord-316393-ozl28ztz 69 2 rest rest NN cord-316393-ozl28ztz 69 3 of of IN cord-316393-ozl28ztz 69 4 the the DT cord-316393-ozl28ztz 69 5 parameters parameter NNS cord-316393-ozl28ztz 69 6 , , , cord-316393-ozl28ztz 69 7 µ µ NN cord-316393-ozl28ztz 69 8 , , , cord-316393-ozl28ztz 69 9 τ τ NN cord-316393-ozl28ztz 69 10 , , , cord-316393-ozl28ztz 69 11 I -PRON- PRP cord-316393-ozl28ztz 69 12 0 0 CD cord-316393-ozl28ztz 69 13 and and CC cord-316393-ozl28ztz 69 14 N N NNP cord-316393-ozl28ztz 69 15 are be VBP cord-316393-ozl28ztz 69 16 embedded embed VBN cord-316393-ozl28ztz 69 17 in in IN cord-316393-ozl28ztz 69 18 the the DT cord-316393-ozl28ztz 69 19 parameters parameter NNS cord-316393-ozl28ztz 69 20 a a DT cord-316393-ozl28ztz 69 21 , , , cord-316393-ozl28ztz 69 22 b b NN cord-316393-ozl28ztz 69 23 , , , cord-316393-ozl28ztz 69 24 c c NNP cord-316393-ozl28ztz 69 25 , , , cord-316393-ozl28ztz 69 26 which which WDT cord-316393-ozl28ztz 69 27 represent represent VBP cord-316393-ozl28ztz 69 28 space space NN cord-316393-ozl28ztz 69 29 - - HYPH cord-316393-ozl28ztz 69 30 time time NN cord-316393-ozl28ztz 69 31 averages average NNS cord-316393-ozl28ztz 69 32 and and CC cord-316393-ozl28ztz 69 33 can can MD cord-316393-ozl28ztz 69 34 be be VB cord-316393-ozl28ztz 69 35 fitted fit VBN cord-316393-ozl28ztz 69 36 to to IN cord-316393-ozl28ztz 69 37 the the DT cord-316393-ozl28ztz 69 38 timely timely RB cord-316393-ozl28ztz 69 39 available available JJ cord-316393-ozl28ztz 69 40 data datum NNS cord-316393-ozl28ztz 69 41 . . . cord-316393-ozl28ztz 70 1 Consequently consequently RB cord-316393-ozl28ztz 70 2 , , , cord-316393-ozl28ztz 70 3 the the DT cord-316393-ozl28ztz 70 4 D d NN cord-316393-ozl28ztz 70 5 - - HYPH cord-316393-ozl28ztz 70 6 function function NN cord-316393-ozl28ztz 70 7 passes pass VBZ cord-316393-ozl28ztz 70 8 into into IN cord-316393-ozl28ztz 70 9 a a DT cord-316393-ozl28ztz 70 10 well well RB cord-316393-ozl28ztz 70 11 - - HYPH cord-316393-ozl28ztz 70 12 known know VBN cord-316393-ozl28ztz 70 13 logistic logistic JJ cord-316393-ozl28ztz 70 14 model model NN cord-316393-ozl28ztz 70 15 , , , cord-316393-ozl28ztz 70 16 which which WDT cord-316393-ozl28ztz 70 17 is be VBZ cord-316393-ozl28ztz 70 18 described describe VBN cord-316393-ozl28ztz 70 19 by by IN cord-316393-ozl28ztz 70 20 the the DT cord-316393-ozl28ztz 70 21 Riccati Riccati NNP cord-316393-ozl28ztz 70 22 equation equation NN cord-316393-ozl28ztz 70 23 , , , cord-316393-ozl28ztz 70 24 but but CC cord-316393-ozl28ztz 70 25 with with IN cord-316393-ozl28ztz 70 26 different different JJ cord-316393-ozl28ztz 70 27 constants constant NNS cord-316393-ozl28ztz 70 28 ( ( -LRB- cord-316393-ozl28ztz 70 29 e.g. e.g. RB cord-316393-ozl28ztz 70 30 see see VB cord-316393-ozl28ztz 70 31 Ref Ref NNP cord-316393-ozl28ztz 70 32 . . . cord-316393-ozl28ztz 71 1 [ [ -LRB- cord-316393-ozl28ztz 71 2 20 20 CD cord-316393-ozl28ztz 71 3 ] ] -RRB- cord-316393-ozl28ztz 71 4 and and CC cord-316393-ozl28ztz 71 5 references reference NNS cord-316393-ozl28ztz 71 6 therein therein RB cord-316393-ozl28ztz 71 7 ) ) -RRB- cord-316393-ozl28ztz 71 8 . . . cord-316393-ozl28ztz 72 1 In in IN cord-316393-ozl28ztz 72 2 Fig Fig NNP cord-316393-ozl28ztz 72 3 . . . cord-316393-ozl28ztz 73 1 1 1 LS cord-316393-ozl28ztz 73 2 , , , cord-316393-ozl28ztz 73 3 we -PRON- PRP cord-316393-ozl28ztz 73 4 present present VBP cord-316393-ozl28ztz 73 5 the the DT cord-316393-ozl28ztz 73 6 fit fit NN cord-316393-ozl28ztz 73 7 of of IN cord-316393-ozl28ztz 73 8 the the DT cord-316393-ozl28ztz 73 9 D d NN cord-316393-ozl28ztz 73 10 - - HYPH cord-316393-ozl28ztz 73 11 model model NN cord-316393-ozl28ztz 73 12 to to IN cord-316393-ozl28ztz 73 13 the the DT cord-316393-ozl28ztz 73 14 COVID-19 COVID-19 NNP cord-316393-ozl28ztz 73 15 death death NN cord-316393-ozl28ztz 73 16 data datum NNS cord-316393-ozl28ztz 73 17 for for IN cord-316393-ozl28ztz 73 18 China China NNP cord-316393-ozl28ztz 73 19 , , , cord-316393-ozl28ztz 73 20 where where WRB cord-316393-ozl28ztz 73 21 its -PRON- PRP$ cord-316393-ozl28ztz 73 22 evolution evolution NN cord-316393-ozl28ztz 73 23 has have VBZ cord-316393-ozl28ztz 73 24 apparently apparently RB cord-316393-ozl28ztz 73 25 been be VBN cord-316393-ozl28ztz 73 26 controlled control VBN cord-316393-ozl28ztz 73 27 and and CC cord-316393-ozl28ztz 73 28 the the DT cord-316393-ozl28ztz 73 29 D d NN cord-316393-ozl28ztz 73 30 function function NN cord-316393-ozl28ztz 73 31 has have VBZ cord-316393-ozl28ztz 73 32 reached reach VBN cord-316393-ozl28ztz 73 33 the the DT cord-316393-ozl28ztz 73 34 plateau plateau NN cord-316393-ozl28ztz 73 35 zone zone NN cord-316393-ozl28ztz 73 36 , , , cord-316393-ozl28ztz 73 37 with with IN cord-316393-ozl28ztz 73 38 few few JJ cord-316393-ozl28ztz 73 39 increments increment NNS cord-316393-ozl28ztz 73 40 over over IN cord-316393-ozl28ztz 73 41 time time NN cord-316393-ozl28ztz 73 42 , , , cord-316393-ozl28ztz 73 43 or or CC cord-316393-ozl28ztz 73 44 fluctuations fluctuation NNS cord-316393-ozl28ztz 73 45 that that WDT cord-316393-ozl28ztz 73 46 are be VBP cord-316393-ozl28ztz 73 47 beyond beyond IN cord-316393-ozl28ztz 73 48 the the DT cord-316393-ozl28ztz 73 49 model model NN cord-316393-ozl28ztz 73 50 assumptions assumption NNS cord-316393-ozl28ztz 73 51 . . . cord-316393-ozl28ztz 74 1 This this DT cord-316393-ozl28ztz 74 2 plot plot NN cord-316393-ozl28ztz 74 3 shows show VBZ cord-316393-ozl28ztz 74 4 the the DT cord-316393-ozl28ztz 74 5 duration duration NN cord-316393-ozl28ztz 74 6 of of IN cord-316393-ozl28ztz 74 7 the the DT cord-316393-ozl28ztz 74 8 pandemicabout pandemicabout NNS cord-316393-ozl28ztz 74 9 two two CD cord-316393-ozl28ztz 74 10 months month NNS cord-316393-ozl28ztz 74 11 to to TO cord-316393-ozl28ztz 74 12 reach reach VB cord-316393-ozl28ztz 74 13 the the DT cord-316393-ozl28ztz 74 14 top top JJ cord-316393-ozl28ztz 74 15 end end NN cord-316393-ozl28ztz 74 16 of of IN cord-316393-ozl28ztz 74 17 the the DT cord-316393-ozl28ztz 74 18 curveand curveand NN cord-316393-ozl28ztz 74 19 the the DT cord-316393-ozl28ztz 74 20 agreement agreement NN cord-316393-ozl28ztz 74 21 , , , cord-316393-ozl28ztz 74 22 despite despite IN cord-316393-ozl28ztz 74 23 the the DT cord-316393-ozl28ztz 74 24 crude crude JJ cord-316393-ozl28ztz 74 25 assumptions assumption NNS cord-316393-ozl28ztz 74 26 , , , cord-316393-ozl28ztz 74 27 between between IN cord-316393-ozl28ztz 74 28 data datum NNS cord-316393-ozl28ztz 74 29 and and CC cord-316393-ozl28ztz 74 30 the the DT cord-316393-ozl28ztz 74 31 evolution evolution NN cord-316393-ozl28ztz 74 32 trend trend NN cord-316393-ozl28ztz 74 33 described describe VBN cord-316393-ozl28ztz 74 34 by by IN cord-316393-ozl28ztz 74 35 the the DT cord-316393-ozl28ztz 74 36 Dmodel Dmodel NNP cord-316393-ozl28ztz 74 37 . . . cord-316393-ozl28ztz 75 1 This this DT cord-316393-ozl28ztz 75 2 agreement agreement NN cord-316393-ozl28ztz 75 3 encourages encourage VBZ cord-316393-ozl28ztz 75 4 the the DT cord-316393-ozl28ztz 75 5 application application NN cord-316393-ozl28ztz 75 6 of of IN cord-316393-ozl28ztz 75 7 the the DT cord-316393-ozl28ztz 75 8 D D NNP cord-316393-ozl28ztz 75 9 model model NN cord-316393-ozl28ztz 75 10 to to IN cord-316393-ozl28ztz 75 11 other other JJ cord-316393-ozl28ztz 75 12 countries country NNS cord-316393-ozl28ztz 75 13 in in IN cord-316393-ozl28ztz 75 14 order order NN cord-316393-ozl28ztz 75 15 to to TO cord-316393-ozl28ztz 75 16 investigate investigate VB cord-316393-ozl28ztz 75 17 the the DT cord-316393-ozl28ztz 75 18 different different JJ cord-316393-ozl28ztz 75 19 trends trend NNS cord-316393-ozl28ztz 75 20 . . . cord-316393-ozl28ztz 76 1 In in IN cord-316393-ozl28ztz 76 2 order order NN cord-316393-ozl28ztz 76 3 to to TO cord-316393-ozl28ztz 76 4 get get VB cord-316393-ozl28ztz 76 5 insight insight NN cord-316393-ozl28ztz 76 6 into into IN cord-316393-ozl28ztz 76 7 the the DT cord-316393-ozl28ztz 76 8 stability stability NN cord-316393-ozl28ztz 76 9 and and CC cord-316393-ozl28ztz 76 10 uncertainty uncertainty NN cord-316393-ozl28ztz 76 11 of of IN cord-316393-ozl28ztz 76 12 our -PRON- PRP$ cord-316393-ozl28ztz 76 13 predictions prediction NNS cord-316393-ozl28ztz 76 14 , , , cord-316393-ozl28ztz 76 15 Fig Fig NNP cord-316393-ozl28ztz 76 16 . . NNP cord-316393-ozl28ztz 76 17 2 2 CD cord-316393-ozl28ztz 76 18 shows show VBZ cord-316393-ozl28ztz 76 19 the the DT cord-316393-ozl28ztz 76 20 evolution evolution NN cord-316393-ozl28ztz 76 21 of of IN cord-316393-ozl28ztz 76 22 a a DT cord-316393-ozl28ztz 76 23 , , , cord-316393-ozl28ztz 76 24 b b NN cord-316393-ozl28ztz 76 25 , , , cord-316393-ozl28ztz 76 26 and and CC cord-316393-ozl28ztz 76 27 c c NN cord-316393-ozl28ztz 76 28 and and CC cord-316393-ozl28ztz 76 29 other other JJ cord-316393-ozl28ztz 76 30 model model NN cord-316393-ozl28ztz 76 31 predictions prediction NNS cord-316393-ozl28ztz 76 32 from from IN cord-316393-ozl28ztz 76 33 fits fit NNS cord-316393-ozl28ztz 76 34 to to IN cord-316393-ozl28ztz 76 35 the the DT cord-316393-ozl28ztz 76 36 daily daily JJ cord-316393-ozl28ztz 76 37 data datum NNS cord-316393-ozl28ztz 76 38 in in IN cord-316393-ozl28ztz 76 39 Spain Spain NNP cord-316393-ozl28ztz 76 40 . . . cord-316393-ozl28ztz 77 1 The the DT cord-316393-ozl28ztz 77 2 meaning meaning NN cord-316393-ozl28ztz 77 3 of of IN cord-316393-ozl28ztz 77 4 these these DT cord-316393-ozl28ztz 77 5 quantities quantity NNS cord-316393-ozl28ztz 77 6 is be VBZ cord-316393-ozl28ztz 77 7 explained explain VBN cord-316393-ozl28ztz 77 8 below below RB cord-316393-ozl28ztz 77 9 : : : cord-316393-ozl28ztz 78 1 • • NNP cord-316393-ozl28ztz 79 1 The the DT cord-316393-ozl28ztz 79 2 parameter parameter NN cord-316393-ozl28ztz 79 3 a a NN cord-316393-ozl28ztz 79 4 is be VBZ cord-316393-ozl28ztz 79 5 the the DT cord-316393-ozl28ztz 79 6 theoretical theoretical JJ cord-316393-ozl28ztz 79 7 number number NN cord-316393-ozl28ztz 79 8 of of IN cord-316393-ozl28ztz 79 9 deaths death NNS cord-316393-ozl28ztz 79 10 at at IN cord-316393-ozl28ztz 79 11 the the DT cord-316393-ozl28ztz 79 12 day day NN cord-316393-ozl28ztz 79 13 corresponding correspond VBG cord-316393-ozl28ztz 79 14 to to IN cord-316393-ozl28ztz 79 15 t t NN cord-316393-ozl28ztz 79 16 = = SYM cord-316393-ozl28ztz 79 17 0 0 CD cord-316393-ozl28ztz 79 18 . . . cord-316393-ozl28ztz 80 1 In in IN cord-316393-ozl28ztz 80 2 general general JJ cord-316393-ozl28ztz 80 3 , , , cord-316393-ozl28ztz 80 4 it -PRON- PRP cord-316393-ozl28ztz 80 5 differs differ VBZ cord-316393-ozl28ztz 80 6 from from IN cord-316393-ozl28ztz 80 7 the the DT cord-316393-ozl28ztz 80 8 experimental experimental JJ cord-316393-ozl28ztz 80 9 value value NN cord-316393-ozl28ztz 80 10 and and CC cord-316393-ozl28ztz 80 11 can can MD cord-316393-ozl28ztz 80 12 be be VB cord-316393-ozl28ztz 80 13 interpreted interpret VBN cord-316393-ozl28ztz 80 14 as as IN cord-316393-ozl28ztz 80 15 the the DT cord-316393-ozl28ztz 80 16 expected expect VBN cord-316393-ozl28ztz 80 17 value value NN cord-316393-ozl28ztz 80 18 of of IN cord-316393-ozl28ztz 80 19 deaths death NNS cord-316393-ozl28ztz 80 20 that that DT cord-316393-ozl28ztz 80 21 day day NN cord-316393-ozl28ztz 80 22 . . . cord-316393-ozl28ztz 81 1 Note note VB cord-316393-ozl28ztz 81 2 that that IN cord-316393-ozl28ztz 81 3 experimental experimental JJ cord-316393-ozl28ztz 81 4 data datum NNS cord-316393-ozl28ztz 81 5 may may MD cord-316393-ozl28ztz 81 6 be be VB cord-316393-ozl28ztz 81 7 subject subject JJ cord-316393-ozl28ztz 81 8 to to IN cord-316393-ozl28ztz 81 9 unknown unknown JJ cord-316393-ozl28ztz 81 10 systematic systematic JJ cord-316393-ozl28ztz 81 11 errors error NNS cord-316393-ozl28ztz 81 12 and and CC cord-316393-ozl28ztz 81 13 different different JJ cord-316393-ozl28ztz 81 14 counting counting NN cord-316393-ozl28ztz 81 15 methods method NNS cord-316393-ozl28ztz 81 16 . . . cord-316393-ozl28ztz 82 1 • • NNP cord-316393-ozl28ztz 83 1 The the DT cord-316393-ozl28ztz 83 2 parameter parameter NN cord-316393-ozl28ztz 83 3 b b NN cord-316393-ozl28ztz 83 4 , , , cord-316393-ozl28ztz 83 5 as as IN cord-316393-ozl28ztz 83 6 mentioned mention VBN cord-316393-ozl28ztz 83 7 above above RB cord-316393-ozl28ztz 83 8 , , , cord-316393-ozl28ztz 83 9 is be VBZ cord-316393-ozl28ztz 83 10 the the DT cord-316393-ozl28ztz 83 11 characteristic characteristic JJ cord-316393-ozl28ztz 83 12 evolution evolution NN cord-316393-ozl28ztz 83 13 time time NN cord-316393-ozl28ztz 83 14 . . . cord-316393-ozl28ztz 84 1 During during IN cord-316393-ozl28ztz 84 2 the the DT cord-316393-ozl28ztz 84 3 initial initial JJ cord-316393-ozl28ztz 84 4 exponential exponential JJ cord-316393-ozl28ztz 84 5 behavior behavior NN cord-316393-ozl28ztz 84 6 , , , cord-316393-ozl28ztz 84 7 it -PRON- PRP cord-316393-ozl28ztz 84 8 indicates indicate VBZ cord-316393-ozl28ztz 84 9 the the DT cord-316393-ozl28ztz 84 10 number number NN cord-316393-ozl28ztz 84 11 of of IN cord-316393-ozl28ztz 84 12 days day NNS cord-316393-ozl28ztz 84 13 for for IN cord-316393-ozl28ztz 84 14 the the DT cord-316393-ozl28ztz 84 15 number number NN cord-316393-ozl28ztz 84 16 of of IN cord-316393-ozl28ztz 84 17 deaths death NNS cord-316393-ozl28ztz 84 18 to to TO cord-316393-ozl28ztz 84 19 double double VB cord-316393-ozl28ztz 84 20 . . . cord-316393-ozl28ztz 85 1 Moreover moreover RB cord-316393-ozl28ztz 85 2 , , , cord-316393-ozl28ztz 85 3 1 1 CD cord-316393-ozl28ztz 85 4 / / SYM cord-316393-ozl28ztz 85 5 b b NN cord-316393-ozl28ztz 85 6 is be VBZ cord-316393-ozl28ztz 85 7 proportional proportional JJ cord-316393-ozl28ztz 85 8 to to IN cord-316393-ozl28ztz 85 9 the the DT cord-316393-ozl28ztz 85 10 slope slope NN cord-316393-ozl28ztz 85 11 of of IN cord-316393-ozl28ztz 85 12 the the DT cord-316393-ozl28ztz 85 13 almost almost RB cord-316393-ozl28ztz 85 14 linear linear JJ cord-316393-ozl28ztz 85 15 behavior behavior NN cord-316393-ozl28ztz 85 16 in in IN cord-316393-ozl28ztz 85 17 the the DT cord-316393-ozl28ztz 85 18 mid mid JJ cord-316393-ozl28ztz 85 19 region region NN cord-316393-ozl28ztz 85 20 of of IN cord-316393-ozl28ztz 85 21 the the DT cord-316393-ozl28ztz 85 22 D d NN cord-316393-ozl28ztz 85 23 function function NN cord-316393-ozl28ztz 85 24 . . . cord-316393-ozl28ztz 86 1 That that DT cord-316393-ozl28ztz 86 2 behavior behavior NN cord-316393-ozl28ztz 86 3 can can MD cord-316393-ozl28ztz 86 4 be be VB cord-316393-ozl28ztz 86 5 obtained obtain VBN cord-316393-ozl28ztz 86 6 by by IN cord-316393-ozl28ztz 86 7 doing do VBG cord-316393-ozl28ztz 86 8 a a DT cord-316393-ozl28ztz 86 9 Taylor Taylor NNP cord-316393-ozl28ztz 86 10 expansion expansion NN cord-316393-ozl28ztz 86 11 around around IN cord-316393-ozl28ztz 86 12 t t NNP cord-316393-ozl28ztz 86 13 0 0 CD cord-316393-ozl28ztz 86 14 = = SYM cord-316393-ozl28ztz 86 15 −b −b NNP cord-316393-ozl28ztz 86 16 n n NN cord-316393-ozl28ztz 86 17 c c NN cord-316393-ozl28ztz 86 18 and and CC cord-316393-ozl28ztz 86 19 is be VBZ cord-316393-ozl28ztz 86 20 given give VBN cord-316393-ozl28ztz 86 21 by by IN cord-316393-ozl28ztz 86 22 • • NNP cord-316393-ozl28ztz 87 1 The the DT cord-316393-ozl28ztz 87 2 parameter parameter NN cord-316393-ozl28ztz 87 3 c c NN cord-316393-ozl28ztz 87 4 is be VBZ cord-316393-ozl28ztz 87 5 called call VBN cord-316393-ozl28ztz 87 6 the the DT cord-316393-ozl28ztz 87 7 inverse inverse JJ cord-316393-ozl28ztz 87 8 dead dead JJ cord-316393-ozl28ztz 87 9 factor factor NN cord-316393-ozl28ztz 87 10 because because IN cord-316393-ozl28ztz 87 11 D(t D(t NNP cord-316393-ozl28ztz 88 1 → → IN cord-316393-ozl28ztz 88 2 ∞ ∞ NNP cord-316393-ozl28ztz 88 3 ) ) -RRB- cord-316393-ozl28ztz 88 4 = = NFP cord-316393-ozl28ztz 88 5 a a NNP cord-316393-ozl28ztz 88 6 / / SYM cord-316393-ozl28ztz 88 7 c c NN cord-316393-ozl28ztz 88 8 provides provide VBZ cord-316393-ozl28ztz 88 9 the the DT cord-316393-ozl28ztz 88 10 asymptotic asymptotic JJ cord-316393-ozl28ztz 88 11 or or CC cord-316393-ozl28ztz 88 12 expected expect VBD cord-316393-ozl28ztz 88 13 total total JJ cord-316393-ozl28ztz 88 14 number number NN cord-316393-ozl28ztz 88 15 of of IN cord-316393-ozl28ztz 88 16 deaths death NNS cord-316393-ozl28ztz 88 17 . . . cord-316393-ozl28ztz 88 18 _SP cord-316393-ozl28ztz 89 1 ( ( -LRB- cord-316393-ozl28ztz 89 2 12 12 CD cord-316393-ozl28ztz 89 3 ) ) -RRB- cord-316393-ozl28ztz 89 4 Figure figure NN cord-316393-ozl28ztz 89 5 2 2 CD cord-316393-ozl28ztz 89 6 shows show VBZ cord-316393-ozl28ztz 89 7 the the DT cord-316393-ozl28ztz 89 8 stable stable JJ cord-316393-ozl28ztz 89 9 trend trend NN cord-316393-ozl28ztz 89 10 of of IN cord-316393-ozl28ztz 89 11 the the DT cord-316393-ozl28ztz 89 12 parameters parameter NNS cord-316393-ozl28ztz 89 13 between between IN cord-316393-ozl28ztz 89 14 days day NNS cord-316393-ozl28ztz 89 15 19 19 CD cord-316393-ozl28ztz 89 16 to to TO cord-316393-ozl28ztz 89 17 24 24 CD cord-316393-ozl28ztz 89 18 ( ( -LRB- cord-316393-ozl28ztz 89 19 corresponding correspond VBG cord-316393-ozl28ztz 89 20 to to IN cord-316393-ozl28ztz 89 21 March March NNP cord-316393-ozl28ztz 89 22 27 27 CD cord-316393-ozl28ztz 89 23 - - SYM cord-316393-ozl28ztz 89 24 30 30 CD cord-316393-ozl28ztz 89 25 ) ) -RRB- cord-316393-ozl28ztz 89 26 , , , cord-316393-ozl28ztz 89 27 right right RB cord-316393-ozl28ztz 89 28 before before IN cord-316393-ozl28ztz 89 29 reaching reach VBG cord-316393-ozl28ztz 89 30 the the DT cord-316393-ozl28ztz 89 31 peak peak NN cord-316393-ozl28ztz 89 32 of of IN cord-316393-ozl28ztz 89 33 deaths death NNS cord-316393-ozl28ztz 89 34 cases case NNS cord-316393-ozl28ztz 89 35 , , , cord-316393-ozl28ztz 89 36 which which WDT cord-316393-ozl28ztz 89 37 occurred occur VBD cord-316393-ozl28ztz 89 38 in in IN cord-316393-ozl28ztz 89 39 Spain Spain NNP cord-316393-ozl28ztz 89 40 around around IN cord-316393-ozl28ztz 89 41 April April NNP cord-316393-ozl28ztz 89 42 1 1 CD cord-316393-ozl28ztz 89 43 . . . cord-316393-ozl28ztz 90 1 Such such JJ cord-316393-ozl28ztz 90 2 stability stability NN cord-316393-ozl28ztz 90 3 validates validate VBZ cord-316393-ozl28ztz 90 4 the the DT cord-316393-ozl28ztz 90 5 D d NN cord-316393-ozl28ztz 90 6 - - HYPH cord-316393-ozl28ztz 90 7 model model NN cord-316393-ozl28ztz 90 8 predictions prediction NNS cord-316393-ozl28ztz 90 9 during during IN cord-316393-ozl28ztz 90 10 this this DT cord-316393-ozl28ztz 90 11 time time NN cord-316393-ozl28ztz 90 12 . . . cord-316393-ozl28ztz 91 1 However however RB cord-316393-ozl28ztz 91 2 , , , cord-316393-ozl28ztz 91 3 a a DT cord-316393-ozl28ztz 91 4 rapid rapid JJ cord-316393-ozl28ztz 91 5 change change NN cord-316393-ozl28ztz 91 6 of of IN cord-316393-ozl28ztz 91 7 the the DT cord-316393-ozl28ztz 91 8 parameters parameter NNS cord-316393-ozl28ztz 91 9 is be VBZ cord-316393-ozl28ztz 91 10 observed observe VBN cord-316393-ozl28ztz 91 11 , , , cord-316393-ozl28ztz 91 12 especially especially RB cord-316393-ozl28ztz 91 13 for for IN cord-316393-ozl28ztz 91 14 a a DT cord-316393-ozl28ztz 91 15 , , , cord-316393-ozl28ztz 91 16 once once IN cord-316393-ozl28ztz 91 17 the the DT cord-316393-ozl28ztz 91 18 peak peak NN cord-316393-ozl28ztz 91 19 is be VBZ cord-316393-ozl28ztz 91 20 reached reach VBN cord-316393-ozl28ztz 91 21 , , , cord-316393-ozl28ztz 91 22 drastically drastically RB cord-316393-ozl28ztz 91 23 changing change VBG cord-316393-ozl28ztz 91 24 the the DT cord-316393-ozl28ztz 91 25 prediction prediction NN cord-316393-ozl28ztz 91 26 of of IN cord-316393-ozl28ztz 91 27 the the DT cord-316393-ozl28ztz 91 28 number number NN cord-316393-ozl28ztz 91 29 of of IN cord-316393-ozl28ztz 91 30 deaths death NNS cord-316393-ozl28ztz 91 31 given give VBN cord-316393-ozl28ztz 91 32 by by IN cord-316393-ozl28ztz 91 33 a a DT cord-316393-ozl28ztz 91 34 / / SYM cord-316393-ozl28ztz 91 35 c c NN cord-316393-ozl28ztz 91 36 . . . cord-316393-ozl28ztz 92 1 This this DT cord-316393-ozl28ztz 92 2 sudden sudden JJ cord-316393-ozl28ztz 92 3 change change NN cord-316393-ozl28ztz 92 4 results result NNS cord-316393-ozl28ztz 92 5 in in IN cord-316393-ozl28ztz 92 6 the the DT cord-316393-ozl28ztz 92 7 slowing slowing NN cord-316393-ozl28ztz 92 8 down down RP cord-316393-ozl28ztz 92 9 of of IN cord-316393-ozl28ztz 92 10 deaths death NNS cord-316393-ozl28ztz 92 11 per per IN cord-316393-ozl28ztz 92 12 day day NN cord-316393-ozl28ztz 92 13 and and CC cord-316393-ozl28ztz 93 1 longer long JJR cord-316393-ozl28ztz 93 2 time time NN cord-316393-ozl28ztz 93 3 predictions prediction NNS cord-316393-ozl28ztz 93 4 T T NNP cord-316393-ozl28ztz 93 5 95 95 CD cord-316393-ozl28ztz 93 6 and and CC cord-316393-ozl28ztz 93 7 T T NNP cord-316393-ozl28ztz 93 8 99 99 CD cord-316393-ozl28ztz 93 9 . . . cord-316393-ozl28ztz 94 1 The the DT cord-316393-ozl28ztz 94 2 parameters parameter NNS cord-316393-ozl28ztz 94 3 of of IN cord-316393-ozl28ztz 94 4 the the DT cord-316393-ozl28ztz 94 5 D d NN cord-316393-ozl28ztz 94 6 model model NN cord-316393-ozl28ztz 94 7 correspond correspond VB cord-316393-ozl28ztz 94 8 to to IN cord-316393-ozl28ztz 94 9 average average JJ cord-316393-ozl28ztz 94 10 values value NNS cord-316393-ozl28ztz 94 11 over over IN cord-316393-ozl28ztz 94 12 time time NN cord-316393-ozl28ztz 94 13 of of IN cord-316393-ozl28ztz 94 14 the the DT cord-316393-ozl28ztz 94 15 interaction interaction NN cord-316393-ozl28ztz 94 16 coefficients coefficient NNS cord-316393-ozl28ztz 94 17 between between IN cord-316393-ozl28ztz 94 18 individuals individual NNS cord-316393-ozl28ztz 94 19 , , , cord-316393-ozl28ztz 94 20 i.e. i.e. FW cord-316393-ozl28ztz 94 21 they -PRON- PRP cord-316393-ozl28ztz 94 22 are be VBP cord-316393-ozl28ztz 94 23 sensitive sensitive JJ cord-316393-ozl28ztz 94 24 to to IN cord-316393-ozl28ztz 94 25 an an DT cord-316393-ozl28ztz 94 26 additional additional JJ cord-316393-ozl28ztz 94 27 external external JJ cord-316393-ozl28ztz 94 28 effect effect NN cord-316393-ozl28ztz 94 29 on on IN cord-316393-ozl28ztz 94 30 the the DT cord-316393-ozl28ztz 94 31 pandemic pandemic NN cord-316393-ozl28ztz 94 32 evolution evolution NN cord-316393-ozl28ztz 94 33 . . . cord-316393-ozl28ztz 95 1 These these DT cord-316393-ozl28ztz 95 2 may may MD cord-316393-ozl28ztz 95 3 include include VB cord-316393-ozl28ztz 95 4 the the DT cord-316393-ozl28ztz 95 5 lockdown lockdown NN cord-316393-ozl28ztz 95 6 effect effect NN cord-316393-ozl28ztz 95 7 imposed impose VBN cord-316393-ozl28ztz 95 8 in in IN cord-316393-ozl28ztz 95 9 Spain Spain NNP cord-316393-ozl28ztz 95 10 in in IN cord-316393-ozl28ztz 95 11 March March NNP cord-316393-ozl28ztz 95 12 14 14 CD cord-316393-ozl28ztz 95 13 and and CC cord-316393-ozl28ztz 95 14 other other JJ cord-316393-ozl28ztz 95 15 effects effect NNS cord-316393-ozl28ztz 95 16 such such JJ cord-316393-ozl28ztz 95 17 as as IN cord-316393-ozl28ztz 95 18 new new JJ cord-316393-ozl28ztz 95 19 sources source NNS cord-316393-ozl28ztz 95 20 of of IN cord-316393-ozl28ztz 95 21 infection infection NN cord-316393-ozl28ztz 95 22 or or CC cord-316393-ozl28ztz 95 23 a a DT cord-316393-ozl28ztz 95 24 sudden sudden JJ cord-316393-ozl28ztz 95 25 increase increase NN cord-316393-ozl28ztz 95 26 of of IN cord-316393-ozl28ztz 95 27 the the DT cord-316393-ozl28ztz 95 28 total total JJ cord-316393-ozl28ztz 95 29 susceptible susceptible JJ cord-316393-ozl28ztz 95 30 individuals individual NNS cord-316393-ozl28ztz 95 31 due due JJ cord-316393-ozl28ztz 95 32 to to IN cord-316393-ozl28ztz 95 33 social social JJ cord-316393-ozl28ztz 95 34 migration migration NN cord-316393-ozl28ztz 95 35 and and CC cord-316393-ozl28ztz 95 36 large large JJ cord-316393-ozl28ztz 95 37 mass mass NN cord-316393-ozl28ztz 95 38 gatherings gathering NNS cord-316393-ozl28ztz 95 39 [ [ -LRB- cord-316393-ozl28ztz 95 40 21 21 CD cord-316393-ozl28ztz 95 41 ] ] -RRB- cord-316393-ozl28ztz 95 42 . . . cord-316393-ozl28ztz 96 1 It -PRON- PRP cord-316393-ozl28ztz 96 2 is be VBZ cord-316393-ozl28ztz 96 3 not not RB cord-316393-ozl28ztz 96 4 possible possible JJ cord-316393-ozl28ztz 96 5 to to TO cord-316393-ozl28ztz 96 6 identify identify VB cord-316393-ozl28ztz 96 7 a a DT cord-316393-ozl28ztz 96 8 specific specific JJ cord-316393-ozl28ztz 96 9 cause cause NN cord-316393-ozl28ztz 96 10 because because IN cord-316393-ozl28ztz 96 11 its -PRON- PRP$ cord-316393-ozl28ztz 96 12 effects effect NNS cord-316393-ozl28ztz 96 13 are be VBP cord-316393-ozl28ztz 96 14 blurred blur VBN cord-316393-ozl28ztz 96 15 by by IN cord-316393-ozl28ztz 96 16 the the DT cord-316393-ozl28ztz 96 17 stochastic stochastic JJ cord-316393-ozl28ztz 96 18 evolution evolution NN cord-316393-ozl28ztz 96 19 of of IN cord-316393-ozl28ztz 96 20 the the DT cord-316393-ozl28ztz 96 21 pandemic pandemic NN cord-316393-ozl28ztz 96 22 , , , cord-316393-ozl28ztz 96 23 which which WDT cord-316393-ozl28ztz 96 24 is be VBZ cord-316393-ozl28ztz 96 25 why why WRB cord-316393-ozl28ztz 96 26 any any DT cord-316393-ozl28ztz 96 27 reliable reliable JJ cord-316393-ozl28ztz 96 28 forecast forecast NN cord-316393-ozl28ztz 96 29 presents present VBZ cord-316393-ozl28ztz 96 30 large large JJ cord-316393-ozl28ztz 96 31 errors error NNS cord-316393-ozl28ztz 96 32 . . . cord-316393-ozl28ztz 97 1 One one PRP cord-316393-ozl28ztz 97 2 can can MD cord-316393-ozl28ztz 97 3 also also RB cord-316393-ozl28ztz 97 4 determine determine VB cord-316393-ozl28ztz 97 5 deaths death NNS cord-316393-ozl28ztz 97 6 / / SYM cord-316393-ozl28ztz 97 7 day day NN cord-316393-ozl28ztz 97 8 rates rate NNS cord-316393-ozl28ztz 97 9 by by IN cord-316393-ozl28ztz 97 10 applying apply VBG cord-316393-ozl28ztz 97 11 the the DT cord-316393-ozl28ztz 97 12 first first JJ cord-316393-ozl28ztz 97 13 derivative derivative NN cord-316393-ozl28ztz 97 14 to to IN cord-316393-ozl28ztz 97 15 Eq Eq NNP cord-316393-ozl28ztz 97 16 . . . cord-316393-ozl28ztz 98 1 10 10 CD cord-316393-ozl28ztz 98 2 , , , cord-316393-ozl28ztz 98 3 which which WDT cord-316393-ozl28ztz 98 4 allows allow VBZ cord-316393-ozl28ztz 98 5 for for IN cord-316393-ozl28ztz 98 6 a a DT cord-316393-ozl28ztz 98 7 determination determination NN cord-316393-ozl28ztz 98 8 of of IN cord-316393-ozl28ztz 98 9 the the DT cord-316393-ozl28ztz 98 10 pandemics pandemic NNS cord-316393-ozl28ztz 98 11 peak peak NN cord-316393-ozl28ztz 98 12 and and CC cord-316393-ozl28ztz 98 13 evolution evolution NN cord-316393-ozl28ztz 98 14 after after IN cord-316393-ozl28ztz 98 15 its -PRON- PRP$ cord-316393-ozl28ztz 98 16 turning turning NN cord-316393-ozl28ztz 98 17 point point NN cord-316393-ozl28ztz 98 18 . . . cord-316393-ozl28ztz 99 1 The the DT cord-316393-ozl28ztz 99 2 D d NN cord-316393-ozl28ztz 99 3 model model NN cord-316393-ozl28ztz 99 4 describes describe VBZ cord-316393-ozl28ztz 99 5 well well RB cord-316393-ozl28ztz 99 6 the the DT cord-316393-ozl28ztz 99 7 cumulative cumulative JJ cord-316393-ozl28ztz 99 8 deaths death NNS cord-316393-ozl28ztz 99 9 because because IN cord-316393-ozl28ztz 99 10 the the DT cord-316393-ozl28ztz 99 11 sum sum NN cord-316393-ozl28ztz 99 12 of of IN cord-316393-ozl28ztz 99 13 discrete discrete JJ cord-316393-ozl28ztz 99 14 data datum NNS cord-316393-ozl28ztz 99 15 reduce reduce VBP cord-316393-ozl28ztz 99 16 the the DT cord-316393-ozl28ztz 99 17 fluctuations fluctuation NNS cord-316393-ozl28ztz 99 18 , , , cord-316393-ozl28ztz 99 19 in in IN cord-316393-ozl28ztz 99 20 the the DT cord-316393-ozl28ztz 99 21 same same JJ cord-316393-ozl28ztz 99 22 way way NN cord-316393-ozl28ztz 99 23 as as IN cord-316393-ozl28ztz 99 24 the the DT cord-316393-ozl28ztz 99 25 integral integral NN cord-316393-ozl28ztz 99 26 of of IN cord-316393-ozl28ztz 99 27 a a DT cord-316393-ozl28ztz 99 28 discontinuous discontinuous JJ cord-316393-ozl28ztz 99 29 function function NN cord-316393-ozl28ztz 99 30 is be VBZ cord-316393-ozl28ztz 99 31 a a DT cord-316393-ozl28ztz 99 32 continuous continuous JJ cord-316393-ozl28ztz 99 33 function function NN cord-316393-ozl28ztz 99 34 . . . cord-316393-ozl28ztz 100 1 However however RB cord-316393-ozl28ztz 100 2 , , , cord-316393-ozl28ztz 100 3 the the DT cord-316393-ozl28ztz 100 4 daily daily JJ cord-316393-ozl28ztz 100 5 data datum NNS cord-316393-ozl28ztz 100 6 required require VBN cord-316393-ozl28ztz 100 7 for for IN cord-316393-ozl28ztz 100 8 D D NNP cord-316393-ozl28ztz 100 9 have have VBP cord-316393-ozl28ztz 100 10 large large JJ cord-316393-ozl28ztz 100 11 fluctuations fluctuation NNS cord-316393-ozl28ztz 100 12 -both -both . cord-316393-ozl28ztz 101 1 statistical statistical JJ cord-316393-ozl28ztz 101 2 and and CC cord-316393-ozl28ztz 101 3 systematic systematic JJ cord-316393-ozl28ztz 101 4 -which -which : cord-316393-ozl28ztz 101 5 normally normally RB cord-316393-ozl28ztz 101 6 gives give VBZ cord-316393-ozl28ztz 101 7 a a DT cord-316393-ozl28ztz 101 8 slightly slightly RB cord-316393-ozl28ztz 101 9 different different JJ cord-316393-ozl28ztz 101 10 set set NN cord-316393-ozl28ztz 101 11 of of IN cord-316393-ozl28ztz 101 12 parameters parameter NNS cord-316393-ozl28ztz 101 13 when when WRB cord-316393-ozl28ztz 101 14 compared compare VBN cord-316393-ozl28ztz 101 15 with with IN cord-316393-ozl28ztz 101 16 the the DT cord-316393-ozl28ztz 101 17 D d NN cord-316393-ozl28ztz 101 18 model model NN cord-316393-ozl28ztz 101 19 . . . cord-316393-ozl28ztz 102 1 Using use VBG cord-316393-ozl28ztz 102 2 the the DT cord-316393-ozl28ztz 102 3 D d NN cord-316393-ozl28ztz 102 4 model model NN cord-316393-ozl28ztz 102 5 fitted fit VBN cord-316393-ozl28ztz 102 6 to to IN cord-316393-ozl28ztz 102 7 cumulative cumulative JJ cord-316393-ozl28ztz 102 8 deaths death NNS cord-316393-ozl28ztz 102 9 allows allow VBZ cord-316393-ozl28ztz 102 10 to to TO cord-316393-ozl28ztz 102 11 compute compute VB cord-316393-ozl28ztz 102 12 deaths death NNS cord-316393-ozl28ztz 102 13 / / SYM cord-316393-ozl28ztz 102 14 day day NN cord-316393-ozl28ztz 102 15 as as IN cord-316393-ozl28ztz 102 16 where where WRB cord-316393-ozl28ztz 102 17 ∆t ∆t NN cord-316393-ozl28ztz 102 18 = = SYM cord-316393-ozl28ztz 102 19 1 1 CD cord-316393-ozl28ztz 102 20 day day NN cord-316393-ozl28ztz 102 21 . . . cord-316393-ozl28ztz 103 1 Figure figure NN cord-316393-ozl28ztz 103 2 3 3 CD cord-316393-ozl28ztz 103 3 shows show VBZ cord-316393-ozl28ztz 103 4 that that IN cord-316393-ozl28ztz 103 5 Eqs Eqs NNP cord-316393-ozl28ztz 103 6 . . . cord-316393-ozl28ztz 104 1 13 13 CD cord-316393-ozl28ztz 104 2 and and CC cord-316393-ozl28ztz 104 3 14 14 CD cord-316393-ozl28ztz 104 4 yield yield VB cord-316393-ozl28ztz 104 5 similar similar JJ cord-316393-ozl28ztz 104 6 parameters parameter NNS cord-316393-ozl28ztz 104 7 , , , cord-316393-ozl28ztz 104 8 as as IN cord-316393-ozl28ztz 104 9 the the DT cord-316393-ozl28ztz 104 10 time time NN cord-316393-ozl28ztz 104 11 increment increment NN cord-316393-ozl28ztz 104 12 is be VBZ cord-316393-ozl28ztz 104 13 small small JJ cord-316393-ozl28ztz 104 14 enough enough RB cord-316393-ozl28ztz 104 15 compared compare VBN cord-316393-ozl28ztz 104 16 with with IN cord-316393-ozl28ztz 104 17 the the DT cord-316393-ozl28ztz 104 18 time time NN cord-316393-ozl28ztz 104 19 evolution evolution NN cord-316393-ozl28ztz 104 20 of of IN cord-316393-ozl28ztz 104 21 the the DT cord-316393-ozl28ztz 104 22 D(t D(t NNP cord-316393-ozl28ztz 104 23 ) ) -RRB- cord-316393-ozl28ztz 104 24 function function NN cord-316393-ozl28ztz 104 25 . . . cord-316393-ozl28ztz 105 1 Hence hence RB cord-316393-ozl28ztz 105 2 , , , cord-316393-ozl28ztz 105 3 the the DT cord-316393-ozl28ztz 105 4 first first JJ cord-316393-ozl28ztz 105 5 derivative derivative JJ cord-316393-ozl28ztz 105 6 D d NN cord-316393-ozl28ztz 105 7 ( ( -LRB- cord-316393-ozl28ztz 105 8 t t NN cord-316393-ozl28ztz 105 9 ) ) -RRB- cord-316393-ozl28ztz 105 10 can can MD cord-316393-ozl28ztz 105 11 be be VB cord-316393-ozl28ztz 105 12 used use VBN cord-316393-ozl28ztz 105 13 to to TO cord-316393-ozl28ztz 105 14 describe describe VB cord-316393-ozl28ztz 105 15 deaths death NNS cord-316393-ozl28ztz 105 16 per per IN cord-316393-ozl28ztz 105 17 day day NN cord-316393-ozl28ztz 105 18 . . . cord-316393-ozl28ztz 106 1 In in IN cord-316393-ozl28ztz 106 2 addition addition NN cord-316393-ozl28ztz 106 3 , , , cord-316393-ozl28ztz 106 4 Fig Fig NNP cord-316393-ozl28ztz 106 5 . . NNP cord-316393-ozl28ztz 106 6 4 4 CD cord-316393-ozl28ztz 106 7 shows show VBZ cord-316393-ozl28ztz 106 8 that that IN cord-316393-ozl28ztz 106 9 the the DT cord-316393-ozl28ztz 106 10 parameters parameter NNS cord-316393-ozl28ztz 106 11 may may MD cord-316393-ozl28ztz 106 12 be be VB cord-316393-ozl28ztz 106 13 different different JJ cord-316393-ozl28ztz 106 14 for for IN cord-316393-ozl28ztz 106 15 both both CC cord-316393-ozl28ztz 106 16 D d NN cord-316393-ozl28ztz 106 17 and and CC cord-316393-ozl28ztz 106 18 D d NN cord-316393-ozl28ztz 106 19 functions function NNS cord-316393-ozl28ztz 106 20 using use VBG cord-316393-ozl28ztz 106 21 cumulative cumulative JJ cord-316393-ozl28ztz 106 22 and and CC cord-316393-ozl28ztz 106 23 daily daily JJ cord-316393-ozl28ztz 106 24 deaths death NNS cord-316393-ozl28ztz 106 25 , , , cord-316393-ozl28ztz 106 26 respectively respectively RB cord-316393-ozl28ztz 106 27 , , , cord-316393-ozl28ztz 106 28 as as IN cord-316393-ozl28ztz 106 29 shown show VBN cord-316393-ozl28ztz 106 30 for for IN cord-316393-ozl28ztz 106 31 Spain Spain NNP cord-316393-ozl28ztz 106 32 on on IN cord-316393-ozl28ztz 106 33 April April NNP cord-316393-ozl28ztz 106 34 5 5 CD cord-316393-ozl28ztz 106 35 . . . cord-316393-ozl28ztz 107 1 It -PRON- PRP cord-316393-ozl28ztz 107 2 is be VBZ cord-316393-ozl28ztz 107 3 also also RB cord-316393-ozl28ztz 107 4 important important JJ cord-316393-ozl28ztz 107 5 to to TO cord-316393-ozl28ztz 107 6 note note VB cord-316393-ozl28ztz 107 7 that that DT cord-316393-ozl28ztz 107 8 b b NN cord-316393-ozl28ztz 107 9 is be VBZ cord-316393-ozl28ztz 107 10 directly directly RB cord-316393-ozl28ztz 107 11 proportional proportional JJ cord-316393-ozl28ztz 107 12 to to IN cord-316393-ozl28ztz 107 13 the the DT cord-316393-ozl28ztz 107 14 full full JJ cord-316393-ozl28ztz 107 15 width width NN cord-316393-ozl28ztz 107 16 at at IN cord-316393-ozl28ztz 107 17 half half JJ cord-316393-ozl28ztz 107 18 maximum maximum JJ cord-316393-ozl28ztz 107 19 ( ( -LRB- cord-316393-ozl28ztz 107 20 FW FW NNP cord-316393-ozl28ztz 107 21 HM HM NNP cord-316393-ozl28ztz 107 22 ) ) -RRB- cord-316393-ozl28ztz 107 23 of of IN cord-316393-ozl28ztz 107 24 the the DT cord-316393-ozl28ztz 107 25 D d NN cord-316393-ozl28ztz 107 26 ( ( -LRB- cord-316393-ozl28ztz 107 27 t t NN cord-316393-ozl28ztz 107 28 ) ) -RRB- cord-316393-ozl28ztz 107 29 distribution distribution NN cord-316393-ozl28ztz 107 30 , , , cord-316393-ozl28ztz 108 1 As as IN cord-316393-ozl28ztz 108 2 shown show VBN cord-316393-ozl28ztz 108 3 below below RB cord-316393-ozl28ztz 108 4 , , , cord-316393-ozl28ztz 108 5 the the DT cord-316393-ozl28ztz 108 6 b b NN cord-316393-ozl28ztz 108 7 parameter parameter NN cord-316393-ozl28ztz 108 8 presents present VBZ cord-316393-ozl28ztz 108 9 typical typical JJ cord-316393-ozl28ztz 108 10 values value NNS cord-316393-ozl28ztz 108 11 between between IN cord-316393-ozl28ztz 108 12 4 4 CD cord-316393-ozl28ztz 108 13 and and CC cord-316393-ozl28ztz 108 14 10 10 CD cord-316393-ozl28ztz 108 15 for for IN cord-316393-ozl28ztz 108 16 most most JJS cord-316393-ozl28ztz 108 17 countries country NNS cord-316393-ozl28ztz 108 18 undergoing undergo VBG cord-316393-ozl28ztz 108 19 the the DT cord-316393-ozl28ztz 108 20 initial initial JJ cord-316393-ozl28ztz 108 21 exponential exponential JJ cord-316393-ozl28ztz 108 22 phase phase NN cord-316393-ozl28ztz 108 23 , , , cord-316393-ozl28ztz 108 24 which which WDT cord-316393-ozl28ztz 108 25 yields yield VBZ cord-316393-ozl28ztz 108 26 a a DT cord-316393-ozl28ztz 108 27 minimum minimum NN cord-316393-ozl28ztz 108 28 and and CC cord-316393-ozl28ztz 108 29 maximum maximum JJ cord-316393-ozl28ztz 108 30 time time NN cord-316393-ozl28ztz 108 31 of of IN cord-316393-ozl28ztz 108 32 14 14 CD cord-316393-ozl28ztz 108 33 and and CC cord-316393-ozl28ztz 108 34 35 35 CD cord-316393-ozl28ztz 108 35 days day NNS cord-316393-ozl28ztz 108 36 , , , cord-316393-ozl28ztz 108 37 respectively respectively RB cord-316393-ozl28ztz 108 38 , , , cord-316393-ozl28ztz 108 39 between between IN cord-316393-ozl28ztz 108 40 the the DT cord-316393-ozl28ztz 108 41 two two CD cord-316393-ozl28ztz 108 42 extreme extreme JJ cord-316393-ozl28ztz 108 43 values value NNS cord-316393-ozl28ztz 108 44 of of IN cord-316393-ozl28ztz 108 45 the the DT cord-316393-ozl28ztz 108 46 FW FW NNP cord-316393-ozl28ztz 108 47 HM HM NNP cord-316393-ozl28ztz 108 48 . . . cord-316393-ozl28ztz 108 49 _SP cord-316393-ozl28ztz 109 1 Some some DT cord-316393-ozl28ztz 109 2 models model NNS cord-316393-ozl28ztz 109 3 [ [ -LRB- cord-316393-ozl28ztz 109 4 22 22 CD cord-316393-ozl28ztz 109 5 ] ] -RRB- cord-316393-ozl28ztz 109 6 include include VBP cord-316393-ozl28ztz 109 7 changes change NNS cord-316393-ozl28ztz 109 8 in in IN cord-316393-ozl28ztz 109 9 the the DT cord-316393-ozl28ztz 109 10 transmission transmission NN cord-316393-ozl28ztz 109 11 rate rate NN cord-316393-ozl28ztz 109 12 due due IN cord-316393-ozl28ztz 109 13 to to IN cord-316393-ozl28ztz 109 14 various various JJ cord-316393-ozl28ztz 109 15 interventions intervention NNS cord-316393-ozl28ztz 109 16 implemented implement VBN cord-316393-ozl28ztz 109 17 to to TO cord-316393-ozl28ztz 109 18 contain contain VB cord-316393-ozl28ztz 109 19 the the DT cord-316393-ozl28ztz 109 20 outbreak outbreak NN cord-316393-ozl28ztz 109 21 . . . cord-316393-ozl28ztz 110 1 The the DT cord-316393-ozl28ztz 110 2 simple simple JJ cord-316393-ozl28ztz 110 3 D d NN cord-316393-ozl28ztz 110 4 model model NN cord-316393-ozl28ztz 110 5 does do VBZ cord-316393-ozl28ztz 110 6 not not RB cord-316393-ozl28ztz 110 7 allow allow VB cord-316393-ozl28ztz 110 8 to to TO cord-316393-ozl28ztz 110 9 do do VB cord-316393-ozl28ztz 110 10 this this DT cord-316393-ozl28ztz 110 11 explicitly explicitly RB cord-316393-ozl28ztz 110 12 , , , cord-316393-ozl28ztz 110 13 but but CC cord-316393-ozl28ztz 110 14 changes change NNS cord-316393-ozl28ztz 110 15 in in IN cord-316393-ozl28ztz 110 16 the the DT cord-316393-ozl28ztz 110 17 spread spread NN cord-316393-ozl28ztz 110 18 can can MD cord-316393-ozl28ztz 110 19 be be VB cord-316393-ozl28ztz 110 20 taken take VBN cord-316393-ozl28ztz 110 21 into into IN cord-316393-ozl28ztz 110 22 account account NN cord-316393-ozl28ztz 110 23 by by IN cord-316393-ozl28ztz 110 24 considering consider VBG cord-316393-ozl28ztz 110 25 the the DT cord-316393-ozl28ztz 110 26 total total JJ cord-316393-ozl28ztz 110 27 D d NN cord-316393-ozl28ztz 110 28 or or CC cord-316393-ozl28ztz 110 29 D d NN cord-316393-ozl28ztz 110 30 n n NN cord-316393-ozl28ztz 110 31 function function NN cord-316393-ozl28ztz 110 32 as as IN cord-316393-ozl28ztz 110 33 the the DT cord-316393-ozl28ztz 110 34 sum sum NN cord-316393-ozl28ztz 110 35 of of IN cord-316393-ozl28ztz 110 36 two two CD cord-316393-ozl28ztz 110 37 or or CC cord-316393-ozl28ztz 110 38 more more JJR cord-316393-ozl28ztz 110 39 independent independent JJ cord-316393-ozl28ztz 110 40 D d NN cord-316393-ozl28ztz 110 41 - - HYPH cord-316393-ozl28ztz 110 42 functions function NNS cord-316393-ozl28ztz 110 43 with with IN cord-316393-ozl28ztz 110 44 different different JJ cord-316393-ozl28ztz 110 45 parameters parameter NNS cord-316393-ozl28ztz 110 46 , , , cord-316393-ozl28ztz 110 47 which which WDT cord-316393-ozl28ztz 110 48 may may MD cord-316393-ozl28ztz 110 49 reveal reveal VB cord-316393-ozl28ztz 110 50 the the DT cord-316393-ozl28ztz 110 51 existence existence NN cord-316393-ozl28ztz 110 52 of of IN cord-316393-ozl28ztz 110 53 several several JJ cord-316393-ozl28ztz 110 54 independent independent JJ cord-316393-ozl28ztz 110 55 sources source NNS cord-316393-ozl28ztz 110 56 , , , cord-316393-ozl28ztz 110 57 or or CC cord-316393-ozl28ztz 110 58 virus virus NN cord-316393-ozl28ztz 110 59 channels channel NNS cord-316393-ozl28ztz 110 60 . . . cord-316393-ozl28ztz 111 1 An an DT cord-316393-ozl28ztz 111 2 example example NN cord-316393-ozl28ztz 111 3 is be VBZ cord-316393-ozl28ztz 111 4 shown show VBN cord-316393-ozl28ztz 111 5 in in IN cord-316393-ozl28ztz 111 6 Fig Fig NNP cord-316393-ozl28ztz 111 7 . . . cord-316393-ozl28ztz 112 1 5 5 LS cord-316393-ozl28ztz 112 2 , , , cord-316393-ozl28ztz 112 3 where where WRB cord-316393-ozl28ztz 112 4 the the DT cord-316393-ozl28ztz 112 5 two two CD cord-316393-ozl28ztz 112 6 - - HYPH cord-316393-ozl28ztz 112 7 channel channel NN cord-316393-ozl28ztz 112 8 function function NN cord-316393-ozl28ztz 112 9 has have VBZ cord-316393-ozl28ztz 112 10 been be VBN cord-316393-ozl28ztz 112 11 fitted fit VBN cord-316393-ozl28ztz 112 12 with with IN cord-316393-ozl28ztz 112 13 six six CD cord-316393-ozl28ztz 112 14 parameters parameter NNS cord-316393-ozl28ztz 112 15 to to IN cord-316393-ozl28ztz 112 16 the the DT cord-316393-ozl28ztz 112 17 Spanish spanish JJ cord-316393-ozl28ztz 112 18 data datum NNS cord-316393-ozl28ztz 112 19 up up IN cord-316393-ozl28ztz 112 20 to to IN cord-316393-ozl28ztz 112 21 April April NNP cord-316393-ozl28ztz 112 22 13 13 CD cord-316393-ozl28ztz 112 23 . . . cord-316393-ozl28ztz 113 1 The the DT cord-316393-ozl28ztz 113 2 fit fit NN cord-316393-ozl28ztz 113 3 reveals reveal VBZ cord-316393-ozl28ztz 113 4 a a DT cord-316393-ozl28ztz 113 5 second second JJ cord-316393-ozl28ztz 113 6 , , , cord-316393-ozl28ztz 113 7 smaller small JJR cord-316393-ozl28ztz 113 8 death death NN cord-316393-ozl28ztz 113 9 peak peak NN cord-316393-ozl28ztz 113 10 , , , cord-316393-ozl28ztz 113 11 which which WDT cord-316393-ozl28ztz 113 12 substantially substantially RB cord-316393-ozl28ztz 113 13 increase increase VBP cord-316393-ozl28ztz 113 14 the the DT cord-316393-ozl28ztz 113 15 number number NN cord-316393-ozl28ztz 113 16 of of IN cord-316393-ozl28ztz 113 17 deaths death NNS cord-316393-ozl28ztz 113 18 per per IN cord-316393-ozl28ztz 113 19 day day NN cord-316393-ozl28ztz 113 20 and and CC cord-316393-ozl28ztz 113 21 the the DT cord-316393-ozl28ztz 113 22 duration duration NN cord-316393-ozl28ztz 113 23 of of IN cord-316393-ozl28ztz 113 24 the the DT cord-316393-ozl28ztz 113 25 pandemic pandemic NN cord-316393-ozl28ztz 113 26 . . . cord-316393-ozl28ztz 114 1 This this DT cord-316393-ozl28ztz 114 2 is be VBZ cord-316393-ozl28ztz 114 3 equivalent equivalent JJ cord-316393-ozl28ztz 114 4 to to TO cord-316393-ozl28ztz 114 5 add add VB cord-316393-ozl28ztz 114 6 a a DT cord-316393-ozl28ztz 114 7 second second JJ cord-316393-ozl28ztz 114 8 , , , cord-316393-ozl28ztz 114 9 independent independent JJ cord-316393-ozl28ztz 114 10 , , , cord-316393-ozl28ztz 114 11 source source NN cord-316393-ozl28ztz 114 12 of of IN cord-316393-ozl28ztz 114 13 infection infection NN cord-316393-ozl28ztz 114 14 several several JJ cord-316393-ozl28ztz 114 15 weeks week NNS cord-316393-ozl28ztz 114 16 after after IN cord-316393-ozl28ztz 114 17 the the DT cord-316393-ozl28ztz 114 18 initial initial JJ cord-316393-ozl28ztz 114 19 pandemic pandemic NN cord-316393-ozl28ztz 114 20 . . . cord-316393-ozl28ztz 115 1 The the DT cord-316393-ozl28ztz 115 2 second second JJ cord-316393-ozl28ztz 115 3 peak peak NN cord-316393-ozl28ztz 115 4 may may MD cord-316393-ozl28ztz 115 5 as as RB cord-316393-ozl28ztz 115 6 well well RB cord-316393-ozl28ztz 115 7 represent represent VB cord-316393-ozl28ztz 115 8 a a DT cord-316393-ozl28ztz 115 9 second second JJ cord-316393-ozl28ztz 115 10 pandemic pandemic NN cord-316393-ozl28ztz 115 11 phase phase NN cord-316393-ozl28ztz 115 12 driving drive VBG cord-316393-ozl28ztz 115 13 the the DT cord-316393-ozl28ztz 115 14 effects effect NNS cord-316393-ozl28ztz 115 15 of of IN cord-316393-ozl28ztz 115 16 quarantine quarantine NN cord-316393-ozl28ztz 115 17 during during IN cord-316393-ozl28ztz 115 18 the the DT cord-316393-ozl28ztz 115 19 descendant descendant JJ cord-316393-ozl28ztz 115 20 part part NN cord-316393-ozl28ztz 115 21 of of IN cord-316393-ozl28ztz 115 22 the the DT cord-316393-ozl28ztz 115 23 curve curve NN cord-316393-ozl28ztz 115 24 . . . cord-316393-ozl28ztz 116 1 Additionally additionally RB cord-316393-ozl28ztz 116 2 , , , cord-316393-ozl28ztz 116 3 the the DT cord-316393-ozl28ztz 116 4 cumulative cumulative JJ cord-316393-ozl28ztz 116 5 D d NN cord-316393-ozl28ztz 116 6 - - HYPH cord-316393-ozl28ztz 116 7 function function NN cord-316393-ozl28ztz 116 8 can can MD cord-316393-ozl28ztz 116 9 also also RB cord-316393-ozl28ztz 116 10 be be VB cord-316393-ozl28ztz 116 11 computed compute VBN cord-316393-ozl28ztz 116 12 with with IN cord-316393-ozl28ztz 116 13 a a DT cord-316393-ozl28ztz 116 14 two two CD cord-316393-ozl28ztz 116 15 - - HYPH cord-316393-ozl28ztz 116 16 channel channel NN cord-316393-ozl28ztz 116 17 function function NN cord-316393-ozl28ztz 116 18 , , , cord-316393-ozl28ztz 116 19 which which WDT cord-316393-ozl28ztz 116 20 provides provide VBZ cord-316393-ozl28ztz 116 21 , , , cord-316393-ozl28ztz 116 22 as as IN cord-316393-ozl28ztz 116 23 shown show VBN cord-316393-ozl28ztz 116 24 in in IN cord-316393-ozl28ztz 116 25 Fig Fig NNP cord-316393-ozl28ztz 116 26 . . . cord-316393-ozl28ztz 117 1 6 6 LS cord-316393-ozl28ztz 117 2 , , , cord-316393-ozl28ztz 117 3 a a DT cord-316393-ozl28ztz 117 4 more more RBR cord-316393-ozl28ztz 117 5 accurate accurate JJ cord-316393-ozl28ztz 117 6 prediction prediction NN cord-316393-ozl28ztz 117 7 for for IN cord-316393-ozl28ztz 117 8 the the DT cord-316393-ozl28ztz 117 9 total total JJ cord-316393-ozl28ztz 117 10 number number NN cord-316393-ozl28ztz 117 11 of of IN cord-316393-ozl28ztz 117 12 deaths death NNS cord-316393-ozl28ztz 117 13 and and CC cord-316393-ozl28ztz 117 14 clearly clearly RB cord-316393-ozl28ztz 117 15 illustrates illustrate VBZ cord-316393-ozl28ztz 117 16 the the DT cord-316393-ozl28ztz 117 17 separate separate JJ cord-316393-ozl28ztz 117 18 effect effect NN cord-316393-ozl28ztz 117 19 of of IN cord-316393-ozl28ztz 117 20 both both DT cord-316393-ozl28ztz 117 21 source source NN cord-316393-ozl28ztz 117 22 peaks peak NNS cord-316393-ozl28ztz 117 23 . . . cord-316393-ozl28ztz 118 1 It -PRON- PRP cord-316393-ozl28ztz 118 2 is be VBZ cord-316393-ozl28ztz 118 3 interesting interesting JJ cord-316393-ozl28ztz 118 4 to to TO cord-316393-ozl28ztz 118 5 note note VB cord-316393-ozl28ztz 118 6 that that IN cord-316393-ozl28ztz 118 7 for for IN cord-316393-ozl28ztz 118 8 large large JJ cord-316393-ozl28ztz 118 9 t t NN cord-316393-ozl28ztz 118 10 , , , cord-316393-ozl28ztz 118 11 a a DT cord-316393-ozl28ztz 118 12 ≈ ≈ NNP cord-316393-ozl28ztz 118 13 a a DT cord-316393-ozl28ztz 118 14 2 2 CD cord-316393-ozl28ztz 119 1 , , , cord-316393-ozl28ztz 119 2 c c NNP cord-316393-ozl28ztz 119 3 ≈ ≈ NNP cord-316393-ozl28ztz 119 4 c c NN cord-316393-ozl28ztz 119 5 2 2 CD cord-316393-ozl28ztz 119 6 and and CC cord-316393-ozl28ztz 119 7 b b NN cord-316393-ozl28ztz 119 8 2 2 CD cord-316393-ozl28ztz 119 9 ≈ ≈ NNP cord-316393-ozl28ztz 119 10 2b 2b CD cord-316393-ozl28ztz 119 11 . . . cord-316393-ozl28ztz 120 1 In in IN cord-316393-ozl28ztz 120 2 such such PDT cord-316393-ozl28ztz 120 3 a a DT cord-316393-ozl28ztz 120 4 case case NN cord-316393-ozl28ztz 120 5 , , , cord-316393-ozl28ztz 120 6 the the DT cord-316393-ozl28ztz 120 7 total total JJ cord-316393-ozl28ztz 120 8 number number NN cord-316393-ozl28ztz 120 9 of of IN cord-316393-ozl28ztz 120 10 deaths death NNS cord-316393-ozl28ztz 120 11 expected expect VBN cord-316393-ozl28ztz 120 12 during during IN cord-316393-ozl28ztz 120 13 the the DT cord-316393-ozl28ztz 120 14 pandemic pandemic NN cord-316393-ozl28ztz 120 15 is be VBZ cord-316393-ozl28ztz 120 16 given give VBN cord-316393-ozl28ztz 120 17 by by IN cord-316393-ozl28ztz 120 18 D D NNP cord-316393-ozl28ztz 120 19 2 2 CD cord-316393-ozl28ztz 120 20 ( ( -LRB- cord-316393-ozl28ztz 120 21 ∞ ∞ NNP cord-316393-ozl28ztz 120 22 ) ) -RRB- cord-316393-ozl28ztz 120 23 = = NFP cord-316393-ozl28ztz 121 1 2a 2a NNP cord-316393-ozl28ztz 121 2 / / SYM cord-316393-ozl28ztz 121 3 c c NN cord-316393-ozl28ztz 121 4 . . . cord-316393-ozl28ztz 122 1 The the DT cord-316393-ozl28ztz 122 2 D d NN cord-316393-ozl28ztz 122 3 - - HYPH cord-316393-ozl28ztz 122 4 model model NN cord-316393-ozl28ztz 122 5 can can MD cord-316393-ozl28ztz 122 6 also also RB cord-316393-ozl28ztz 122 7 be be VB cord-316393-ozl28ztz 122 8 used use VBN cord-316393-ozl28ztz 122 9 to to TO cord-316393-ozl28ztz 122 10 estimate estimate VB cord-316393-ozl28ztz 122 11 I(t I(t NNP cord-316393-ozl28ztz 122 12 ) ) -RRB- cord-316393-ozl28ztz 122 13 using use VBG cord-316393-ozl28ztz 122 14 the the DT cord-316393-ozl28ztz 122 15 initial initial JJ cord-316393-ozl28ztz 122 16 values value NNS cord-316393-ozl28ztz 122 17 of of IN cord-316393-ozl28ztz 122 18 I i NN cord-316393-ozl28ztz 122 19 0 0 CD cord-316393-ozl28ztz 122 20 = = NFP cord-316393-ozl28ztz 123 1 I(0 I(0 NNP cord-316393-ozl28ztz 123 2 ) ) -RRB- cord-316393-ozl28ztz 124 1 and and CC cord-316393-ozl28ztz 124 2 the the DT cord-316393-ozl28ztz 124 3 total total JJ cord-316393-ozl28ztz 124 4 number number NN cord-316393-ozl28ztz 124 5 of of IN cord-316393-ozl28ztz 124 6 susceptible susceptible JJ cord-316393-ozl28ztz 124 7 people people NNS cord-316393-ozl28ztz 124 8 N n NN cord-316393-ozl28ztz 124 9 = = NN cord-316393-ozl28ztz 124 10 S(0 S(0 NNP cord-316393-ozl28ztz 124 11 ) ) -RRB- cord-316393-ozl28ztz 124 12 . . . cord-316393-ozl28ztz 125 1 The the DT cord-316393-ozl28ztz 125 2 initial initial JJ cord-316393-ozl28ztz 125 3 value value NN cord-316393-ozl28ztz 125 4 of of IN cord-316393-ozl28ztz 125 5 N n NN cord-316393-ozl28ztz 125 6 is be VBZ cord-316393-ozl28ztz 125 7 unknown unknown JJ cord-316393-ozl28ztz 125 8 , , , cord-316393-ozl28ztz 125 9 and and CC cord-316393-ozl28ztz 125 10 not not RB cord-316393-ozl28ztz 125 11 necessarily necessarily RB cord-316393-ozl28ztz 125 12 equal equal JJ cord-316393-ozl28ztz 125 13 to to IN cord-316393-ozl28ztz 125 14 the the DT cord-316393-ozl28ztz 125 15 population population NN cord-316393-ozl28ztz 125 16 of of IN cord-316393-ozl28ztz 125 17 the the DT cord-316393-ozl28ztz 125 18 whole whole JJ cord-316393-ozl28ztz 125 19 country country NN cord-316393-ozl28ztz 125 20 since since IN cord-316393-ozl28ztz 125 21 the the DT cord-316393-ozl28ztz 125 22 pandemic pandemic NN cord-316393-ozl28ztz 125 23 started start VBD cord-316393-ozl28ztz 125 24 in in IN cord-316393-ozl28ztz 125 25 localized localize VBN cord-316393-ozl28ztz 125 26 areas area NNS cord-316393-ozl28ztz 125 27 . . . cord-316393-ozl28ztz 126 1 Here here RB cord-316393-ozl28ztz 126 2 , , , cord-316393-ozl28ztz 126 3 we -PRON- PRP cord-316393-ozl28ztz 126 4 shall shall MD cord-316393-ozl28ztz 126 5 assume assume VB cord-316393-ozl28ztz 126 6 N N NNP cord-316393-ozl28ztz 126 7 = = SYM cord-316393-ozl28ztz 126 8 10 10 CD cord-316393-ozl28ztz 126 9 6 6 CD cord-316393-ozl28ztz 126 10 , , , cord-316393-ozl28ztz 126 11 although although IN cord-316393-ozl28ztz 126 12 plausible plausible JJ cord-316393-ozl28ztz 126 13 values value NNS cord-316393-ozl28ztz 126 14 of of IN cord-316393-ozl28ztz 126 15 N N NNP cord-316393-ozl28ztz 126 16 can can MD cord-316393-ozl28ztz 126 17 be be VB cord-316393-ozl28ztz 126 18 tens ten NNS cord-316393-ozl28ztz 126 19 of of IN cord-316393-ozl28ztz 126 20 millions million NNS cord-316393-ozl28ztz 126 21 . . . cord-316393-ozl28ztz 127 1 Note note VB cord-316393-ozl28ztz 127 2 that that IN cord-316393-ozl28ztz 127 3 the the DT cord-316393-ozl28ztz 127 4 no no DT cord-316393-ozl28ztz 127 5 - - HYPH cord-316393-ozl28ztz 127 6 recovery recovery NN cord-316393-ozl28ztz 127 7 assumption assumption NN cord-316393-ozl28ztz 127 8 of of IN cord-316393-ozl28ztz 127 9 the the DT cord-316393-ozl28ztz 127 10 D D NNP cord-316393-ozl28ztz 127 11 model model NN cord-316393-ozl28ztz 127 12 is be VBZ cord-316393-ozl28ztz 127 13 unrealistic unrealistic JJ cord-316393-ozl28ztz 127 14 , , , cord-316393-ozl28ztz 127 15 and and CC cord-316393-ozl28ztz 127 16 this this DT cord-316393-ozl28ztz 127 17 calculation calculation NN cord-316393-ozl28ztz 127 18 only only RB cord-316393-ozl28ztz 127 19 provides provide VBZ cord-316393-ozl28ztz 127 20 an an DT cord-316393-ozl28ztz 127 21 estimation estimation NN cord-316393-ozl28ztz 127 22 of of IN cord-316393-ozl28ztz 127 23 the the DT cord-316393-ozl28ztz 127 24 number number NN cord-316393-ozl28ztz 127 25 of of IN cord-316393-ozl28ztz 127 26 individuals individual NNS cord-316393-ozl28ztz 127 27 that that WDT cord-316393-ozl28ztz 127 28 were be VBD cord-316393-ozl28ztz 127 29 infected infect VBN cord-316393-ozl28ztz 127 30 at at IN cord-316393-ozl28ztz 127 31 some some DT cord-316393-ozl28ztz 127 32 time time NN cord-316393-ozl28ztz 127 33 , , , cord-316393-ozl28ztz 127 34 independently independently RB cord-316393-ozl28ztz 127 35 of of IN cord-316393-ozl28ztz 127 36 whether whether IN cord-316393-ozl28ztz 127 37 they -PRON- PRP cord-316393-ozl28ztz 127 38 recovered recover VBD cord-316393-ozl28ztz 127 39 or or CC cord-316393-ozl28ztz 127 40 not not RB cord-316393-ozl28ztz 127 41 . . . cord-316393-ozl28ztz 128 1 From from IN cord-316393-ozl28ztz 128 2 the the DT cord-316393-ozl28ztz 128 3 definition definition NN cord-316393-ozl28ztz 128 4 of of IN cord-316393-ozl28ztz 128 5 D(t D(t NNP cord-316393-ozl28ztz 128 6 ) ) -RRB- cord-316393-ozl28ztz 128 7 in in IN cord-316393-ozl28ztz 128 8 Eq Eq NNP cord-316393-ozl28ztz 128 9 . . . cord-316393-ozl28ztz 129 1 9 9 LS cord-316393-ozl28ztz 129 2 , , , cord-316393-ozl28ztz 129 3 the the DT cord-316393-ozl28ztz 129 4 following follow VBG cord-316393-ozl28ztz 129 5 relations relation NNS cord-316393-ozl28ztz 129 6 between between IN cord-316393-ozl28ztz 129 7 the the DT cord-316393-ozl28ztz 129 8 several several JJ cord-316393-ozl28ztz 129 9 parameters parameter NNS cord-316393-ozl28ztz 129 10 of of IN cord-316393-ozl28ztz 129 11 the the DT cord-316393-ozl28ztz 129 12 model model NN cord-316393-ozl28ztz 129 13 were be VBD cord-316393-ozl28ztz 129 14 extracted extract VBN cord-316393-ozl28ztz 129 15 Solving solve VBG cord-316393-ozl28ztz 129 16 the the DT cord-316393-ozl28ztz 129 17 first first JJ cord-316393-ozl28ztz 129 18 two two CD cord-316393-ozl28ztz 129 19 equations equation NNS cord-316393-ozl28ztz 129 20 for for IN cord-316393-ozl28ztz 129 21 µ µ NN cord-316393-ozl28ztz 129 22 and and CC cord-316393-ozl28ztz 129 23 I i NN cord-316393-ozl28ztz 129 24 0 0 CD cord-316393-ozl28ztz 129 25 we -PRON- PRP cord-316393-ozl28ztz 129 26 obtain obtain VBP cord-316393-ozl28ztz 129 27 Hence hence RB cord-316393-ozl28ztz 129 28 , , , cord-316393-ozl28ztz 129 29 µ µ NN cord-316393-ozl28ztz 129 30 can can MD cord-316393-ozl28ztz 129 31 be be VB cord-316393-ozl28ztz 129 32 computed compute VBN cord-316393-ozl28ztz 129 33 by by IN cord-316393-ozl28ztz 129 34 knowing know VBG cord-316393-ozl28ztz 129 35 N. N. NNP cord-316393-ozl28ztz 129 36 However however RB cord-316393-ozl28ztz 129 37 , , , cord-316393-ozl28ztz 129 38 to to TO cord-316393-ozl28ztz 129 39 obtain obtain VB cord-316393-ozl28ztz 129 40 I -PRON- PRP cord-316393-ozl28ztz 129 41 0 0 CD cord-316393-ozl28ztz 129 42 one one NN cord-316393-ozl28ztz 129 43 needs need VBZ cord-316393-ozl28ztz 129 44 to to TO cord-316393-ozl28ztz 129 45 know know VB cord-316393-ozl28ztz 129 46 the the DT cord-316393-ozl28ztz 129 47 death death NN cord-316393-ozl28ztz 129 48 time time NN cord-316393-ozl28ztz 129 49 τ τ NN cord-316393-ozl28ztz 129 50 . . . cord-316393-ozl28ztz 130 1 This this DT cord-316393-ozl28ztz 130 2 has have VBZ cord-316393-ozl28ztz 130 3 been be VBN cord-316393-ozl28ztz 130 4 estimated estimate VBN cord-316393-ozl28ztz 130 5 to to TO cord-316393-ozl28ztz 130 6 be be VB cord-316393-ozl28ztz 130 7 about about RB cord-316393-ozl28ztz 130 8 15 15 CD cord-316393-ozl28ztz 130 9 to to TO cord-316393-ozl28ztz 130 10 20 20 CD cord-316393-ozl28ztz 130 11 days day NNS cord-316393-ozl28ztz 130 12 for for IN cord-316393-ozl28ztz 130 13 COVID-19 covid-19 JJ cord-316393-ozl28ztz 130 14 cases case NNS cord-316393-ozl28ztz 130 15 , , , cord-316393-ozl28ztz 130 16 which which WDT cord-316393-ozl28ztz 130 17 can can MD cord-316393-ozl28ztz 130 18 be be VB cord-316393-ozl28ztz 130 19 used use VBN cord-316393-ozl28ztz 130 20 to to TO cord-316393-ozl28ztz 130 21 compute compute VB cord-316393-ozl28ztz 130 22 two two CD cord-316393-ozl28ztz 130 23 estimates estimate NNS cord-316393-ozl28ztz 130 24 of of IN cord-316393-ozl28ztz 130 25 I(t I(t NNP cord-316393-ozl28ztz 130 26 ) ) -RRB- cord-316393-ozl28ztz 130 27 . . . cord-316393-ozl28ztz 131 1 These these DT cord-316393-ozl28ztz 131 2 are be VBP cord-316393-ozl28ztz 131 3 given give VBN cord-316393-ozl28ztz 131 4 in in IN cord-316393-ozl28ztz 131 5 Fig Fig NNP cord-316393-ozl28ztz 131 6 . . . cord-316393-ozl28ztz 132 1 7 7 CD cord-316393-ozl28ztz 132 2 for for IN cord-316393-ozl28ztz 132 3 the the DT cord-316393-ozl28ztz 132 4 case case NN cord-316393-ozl28ztz 132 5 of of IN cord-316393-ozl28ztz 132 6 Spain Spain NNP cord-316393-ozl28ztz 132 7 . . . cord-316393-ozl28ztz 133 1 Since since IN cord-316393-ozl28ztz 133 2 there there EX cord-316393-ozl28ztz 133 3 is be VBZ cord-316393-ozl28ztz 133 4 no no DT cord-316393-ozl28ztz 133 5 recovery recovery NN cord-316393-ozl28ztz 133 6 in in IN cord-316393-ozl28ztz 133 7 the the DT cord-316393-ozl28ztz 133 8 D d NN cord-316393-ozl28ztz 133 9 model model NN cord-316393-ozl28ztz 133 10 , , , cord-316393-ozl28ztz 133 11 the the DT cord-316393-ozl28ztz 133 12 total total JJ cord-316393-ozl28ztz 133 13 number number NN cord-316393-ozl28ztz 133 14 of of IN cord-316393-ozl28ztz 133 15 infected infected JJ cord-316393-ozl28ztz 133 16 people people NNS cord-316393-ozl28ztz 133 17 is be VBZ cord-316393-ozl28ztz 133 18 I -PRON- PRP cord-316393-ozl28ztz 133 19 ∼ ∼ NNP cord-316393-ozl28ztz 133 20 N n CD cord-316393-ozl28ztz 133 21 for for IN cord-316393-ozl28ztz 133 22 large large JJ cord-316393-ozl28ztz 133 23 t t NN cord-316393-ozl28ztz 133 24 , , , cord-316393-ozl28ztz 133 25 i.e. i.e. FW cord-316393-ozl28ztz 133 26 N n NN cord-316393-ozl28ztz 133 27 = = SYM cord-316393-ozl28ztz 133 28 10 10 CD cord-316393-ozl28ztz 133 29 6 6 CD cord-316393-ozl28ztz 133 30 in in IN cord-316393-ozl28ztz 133 31 our -PRON- PRP$ cord-316393-ozl28ztz 133 32 case case NN cord-316393-ozl28ztz 133 33 . . . cord-316393-ozl28ztz 134 1 In in IN cord-316393-ozl28ztz 134 2 Fig Fig NNP cord-316393-ozl28ztz 134 3 . . . cord-316393-ozl28ztz 135 1 7 7 LS cord-316393-ozl28ztz 135 2 , , , cord-316393-ozl28ztz 135 3 we -PRON- PRP cord-316393-ozl28ztz 135 4 have have VBP cord-316393-ozl28ztz 135 5 labeled label VBN cord-316393-ozl28ztz 135 6 the the DT cord-316393-ozl28ztz 135 7 beginning beginning NN cord-316393-ozl28ztz 135 8 of of IN cord-316393-ozl28ztz 135 9 the the DT cord-316393-ozl28ztz 135 10 lockdown lockdown NN cord-316393-ozl28ztz 135 11 in in IN cord-316393-ozl28ztz 135 12 Spain Spain NNP cord-316393-ozl28ztz 135 13 ( ( -LRB- cord-316393-ozl28ztz 135 14 March March NNP cord-316393-ozl28ztz 135 15 15 15 CD cord-316393-ozl28ztz 135 16 ) ) -RRB- cord-316393-ozl28ztz 135 17 . . . cord-316393-ozl28ztz 136 1 For for IN cord-316393-ozl28ztz 136 2 τ τ NN cord-316393-ozl28ztz 136 3 = = SYM cord-316393-ozl28ztz 136 4 15 15 CD cord-316393-ozl28ztz 136 5 days day NNS cord-316393-ozl28ztz 136 6 , , , cord-316393-ozl28ztz 136 7 most most JJS cord-316393-ozl28ztz 136 8 of of IN cord-316393-ozl28ztz 136 9 the the DT cord-316393-ozl28ztz 136 10 susceptible susceptible JJ cord-316393-ozl28ztz 136 11 individuals individual NNS cord-316393-ozl28ztz 136 12 were be VBD cord-316393-ozl28ztz 136 13 already already RB cord-316393-ozl28ztz 136 14 infected infect VBN cord-316393-ozl28ztz 136 15 on on IN cord-316393-ozl28ztz 136 16 that that DT cord-316393-ozl28ztz 136 17 date date NN cord-316393-ozl28ztz 136 18 , , , cord-316393-ozl28ztz 136 19 and and CC cord-316393-ozl28ztz 136 20 even even RB cord-316393-ozl28ztz 136 21 more more JJR cord-316393-ozl28ztz 136 22 for for IN cord-316393-ozl28ztz 136 23 τ τ NN cord-316393-ozl28ztz 136 24 = = SYM cord-316393-ozl28ztz 136 25 20 20 CD cord-316393-ozl28ztz 136 26 days day NNS cord-316393-ozl28ztz 136 27 , , , cord-316393-ozl28ztz 136 28 as as IN cord-316393-ozl28ztz 136 29 the the DT cord-316393-ozl28ztz 136 30 pandemic pandemic NN cord-316393-ozl28ztz 136 31 had have VBD cord-316393-ozl28ztz 136 32 started start VBN cord-316393-ozl28ztz 136 33 almost almost RB cord-316393-ozl28ztz 136 34 two two CD cord-316393-ozl28ztz 136 35 months month NNS cord-316393-ozl28ztz 136 36 earlier early RBR cord-316393-ozl28ztz 136 37 . . . cord-316393-ozl28ztz 137 1 Most Most JJS cord-316393-ozl28ztz 137 2 of of IN cord-316393-ozl28ztz 137 3 the the DT cord-316393-ozl28ztz 137 4 individuals individual NNS cord-316393-ozl28ztz 137 5 got get VBD cord-316393-ozl28ztz 137 6 infected infect VBN cord-316393-ozl28ztz 137 7 , , , cord-316393-ozl28ztz 137 8 even even RB cord-316393-ozl28ztz 137 9 if if IN cord-316393-ozl28ztz 137 10 a a DT cord-316393-ozl28ztz 137 11 great great JJ cord-316393-ozl28ztz 137 12 part part NN cord-316393-ozl28ztz 137 13 of of IN cord-316393-ozl28ztz 137 14 them -PRON- PRP cord-316393-ozl28ztz 138 1 -approximately -approximately RB cord-316393-ozl28ztz 138 2 99 99 CD cord-316393-ozl28ztz 138 3 % % NN cord-316393-ozl28ztz 138 4 -had -had : cord-316393-ozl28ztz 138 5 no no DT cord-316393-ozl28ztz 138 6 symptoms symptom NNS cord-316393-ozl28ztz 138 7 of of IN cord-316393-ozl28ztz 138 8 illness illness NN cord-316393-ozl28ztz 138 9 or or CC cord-316393-ozl28ztz 138 10 disease disease NN cord-316393-ozl28ztz 138 11 . . . cord-316393-ozl28ztz 139 1 Moreover moreover RB cord-316393-ozl28ztz 139 2 , , , cord-316393-ozl28ztz 139 3 the the DT cord-316393-ozl28ztz 139 4 top top JJ cord-316393-ozl28ztz 139 5 panel panel NN cord-316393-ozl28ztz 139 6 of of IN cord-316393-ozl28ztz 139 7 Fig Fig NNP cord-316393-ozl28ztz 139 8 . . . cord-316393-ozl28ztz 139 9 8 8 CD cord-316393-ozl28ztz 139 10 shows show VBZ cord-316393-ozl28ztz 139 11 the the DT cord-316393-ozl28ztz 139 12 ratio ratio NN cord-316393-ozl28ztz 139 13 D(t)/I(t D(t)/I(t NNP cord-316393-ozl28ztz 139 14 ) ) -RRB- cord-316393-ozl28ztz 140 1 ( ( -LRB- cord-316393-ozl28ztz 140 2 deaths death NNS cord-316393-ozl28ztz 140 3 over over IN cord-316393-ozl28ztz 140 4 infected infect VBN cord-316393-ozl28ztz 140 5 ) ) -RRB- cord-316393-ozl28ztz 140 6 , , , cord-316393-ozl28ztz 140 7 as as IN cord-316393-ozl28ztz 140 8 given give VBN cord-316393-ozl28ztz 140 9 by by IN cord-316393-ozl28ztz 140 10 Eqs Eqs NNP cord-316393-ozl28ztz 140 11 . . . cord-316393-ozl28ztz 141 1 8 8 CD cord-316393-ozl28ztz 141 2 and and CC cord-316393-ozl28ztz 141 3 10 10 CD cord-316393-ozl28ztz 141 4 , , , cord-316393-ozl28ztz 141 5 which which WDT cord-316393-ozl28ztz 141 6 also also RB cord-316393-ozl28ztz 141 7 depends depend VBZ cord-316393-ozl28ztz 141 8 on on IN cord-316393-ozl28ztz 141 9 N n NN cord-316393-ozl28ztz 141 10 and and CC cord-316393-ozl28ztz 141 11 τ τ NN cord-316393-ozl28ztz 141 12 . . . cord-316393-ozl28ztz 142 1 For for IN cord-316393-ozl28ztz 142 2 N n NN cord-316393-ozl28ztz 142 3 = = SYM cord-316393-ozl28ztz 142 4 10 10 CD cord-316393-ozl28ztz 142 5 6 6 CD cord-316393-ozl28ztz 142 6 , , , cord-316393-ozl28ztz 142 7 the the DT cord-316393-ozl28ztz 142 8 ratio ratio NN cord-316393-ozl28ztz 142 9 D d NN cord-316393-ozl28ztz 142 10 / / , cord-316393-ozl28ztz 142 11 I -PRON- PRP cord-316393-ozl28ztz 142 12 increases increase VBZ cord-316393-ozl28ztz 142 13 similarly similarly RB cord-316393-ozl28ztz 142 14 to to IN cord-316393-ozl28ztz 142 15 the the DT cord-316393-ozl28ztz 142 16 separate separate JJ cord-316393-ozl28ztz 142 17 functions function NNS cord-316393-ozl28ztz 142 18 D d NN cord-316393-ozl28ztz 142 19 and and CC cord-316393-ozl28ztz 142 20 I -PRON- PRP cord-316393-ozl28ztz 142 21 between between IN cord-316393-ozl28ztz 142 22 the the DT cord-316393-ozl28ztz 142 23 initial initial JJ cord-316393-ozl28ztz 142 24 and and CC cord-316393-ozl28ztz 142 25 final final JJ cord-316393-ozl28ztz 142 26 values value NNS cord-316393-ozl28ztz 142 27 , , , cord-316393-ozl28ztz 142 28 These these DT cord-316393-ozl28ztz 142 29 results result NNS cord-316393-ozl28ztz 142 30 depend depend VBP cord-316393-ozl28ztz 142 31 on on IN cord-316393-ozl28ztz 142 32 the the DT cord-316393-ozl28ztz 142 33 total total JJ cord-316393-ozl28ztz 142 34 susceptible susceptible JJ cord-316393-ozl28ztz 142 35 population population NN cord-316393-ozl28ztz 142 36 N. n. NN cord-316393-ozl28ztz 143 1 However however RB cord-316393-ozl28ztz 143 2 , , , cord-316393-ozl28ztz 143 3 the the DT cord-316393-ozl28ztz 143 4 ratio ratio NN cord-316393-ozl28ztz 143 5 of of IN cord-316393-ozl28ztz 143 6 infected infect VBN cord-316393-ozl28ztz 143 7 with with IN cord-316393-ozl28ztz 143 8 respect respect NN cord-316393-ozl28ztz 143 9 to to IN cord-316393-ozl28ztz 143 10 susceptibles susceptible NNS cord-316393-ozl28ztz 143 11 , , , cord-316393-ozl28ztz 143 12 I I NNP cord-316393-ozl28ztz 143 13 / / SYM cord-316393-ozl28ztz 143 14 N N NNP cord-316393-ozl28ztz 143 15 , , , cord-316393-ozl28ztz 143 16 is be VBZ cord-316393-ozl28ztz 143 17 independent independent JJ cord-316393-ozl28ztz 143 18 on on IN cord-316393-ozl28ztz 143 19 N. N. NNP cord-316393-ozl28ztz 144 1 This this DT cord-316393-ozl28ztz 144 2 function function NN cord-316393-ozl28ztz 144 3 depends depend VBZ cord-316393-ozl28ztz 144 4 only only RB cord-316393-ozl28ztz 144 5 on on IN cord-316393-ozl28ztz 144 6 τ τ NN cord-316393-ozl28ztz 144 7 and and CC cord-316393-ozl28ztz 144 8 is be VBZ cord-316393-ozl28ztz 144 9 shown show VBN cord-316393-ozl28ztz 144 10 in in IN cord-316393-ozl28ztz 144 11 the the DT cord-316393-ozl28ztz 144 12 bottom bottom JJ cord-316393-ozl28ztz 144 13 panel panel NN cord-316393-ozl28ztz 144 14 of of IN cord-316393-ozl28ztz 144 15 Fig Fig NNP cord-316393-ozl28ztz 144 16 . . . cord-316393-ozl28ztz 145 1 8 8 CD cord-316393-ozl28ztz 146 1 for for IN cord-316393-ozl28ztz 146 2 τ τ NN cord-316393-ozl28ztz 146 3 = = SYM cord-316393-ozl28ztz 146 4 15 15 CD cord-316393-ozl28ztz 146 5 and and CC cord-316393-ozl28ztz 146 6 20 20 CD cord-316393-ozl28ztz 146 7 days day NNS cord-316393-ozl28ztz 146 8 , , , cord-316393-ozl28ztz 146 9 which which WDT cord-316393-ozl28ztz 146 10 reveals reveal VBZ cord-316393-ozl28ztz 146 11 the the DT cord-316393-ozl28ztz 146 12 rapid rapid JJ cord-316393-ozl28ztz 146 13 spread spread NN cord-316393-ozl28ztz 146 14 of of IN cord-316393-ozl28ztz 146 15 the the DT cord-316393-ozl28ztz 146 16 pandemic pandemic NN cord-316393-ozl28ztz 146 17 . . . cord-316393-ozl28ztz 147 1 Accordingly accordingly RB cord-316393-ozl28ztz 147 2 , , , cord-316393-ozl28ztz 147 3 between between IN cord-316393-ozl28ztz 147 4 10 10 CD cord-316393-ozl28ztz 147 5 % % NN cord-316393-ozl28ztz 147 6 and and CC cord-316393-ozl28ztz 147 7 30 30 CD cord-316393-ozl28ztz 147 8 % % NN cord-316393-ozl28ztz 147 9 of of IN cord-316393-ozl28ztz 147 10 the the DT cord-316393-ozl28ztz 147 11 susceptibles susceptible NNS cord-316393-ozl28ztz 147 12 were be VBD cord-316393-ozl28ztz 147 13 infected infect VBN cord-316393-ozl28ztz 147 14 in in IN cord-316393-ozl28ztz 147 15 March March NNP cord-316393-ozl28ztz 147 16 7 7 CD cord-316393-ozl28ztz 147 17 , , , cord-316393-ozl28ztz 147 18 and and CC cord-316393-ozl28ztz 147 19 one one CD cord-316393-ozl28ztz 147 20 month month NN cord-316393-ozl28ztz 147 21 later later RB cord-316393-ozl28ztz 147 22 ( ( -LRB- cord-316393-ozl28ztz 147 23 April April NNP cord-316393-ozl28ztz 147 24 6 6 CD cord-316393-ozl28ztz 147 25 ) ) -RRB- cord-316393-ozl28ztz 147 26 , , , cord-316393-ozl28ztz 147 27 when when WRB cord-316393-ozl28ztz 147 28 the the DT cord-316393-ozl28ztz 147 29 fit fit NN cord-316393-ozl28ztz 147 30 was be VBD cord-316393-ozl28ztz 147 31 made make VBN cord-316393-ozl28ztz 147 32 , , , cord-316393-ozl28ztz 147 33 all all DT cord-316393-ozl28ztz 147 34 susceptibles susceptible NNS cord-316393-ozl28ztz 147 35 had have VBD cord-316393-ozl28ztz 147 36 been be VBN cord-316393-ozl28ztz 147 37 infected infect VBN cord-316393-ozl28ztz 147 38 . . . cord-316393-ozl28ztz 148 1 This this DT cord-316393-ozl28ztz 148 2 does do VBZ cord-316393-ozl28ztz 148 3 not not RB cord-316393-ozl28ztz 148 4 means mean VBZ cord-316393-ozl28ztz 148 5 that that IN cord-316393-ozl28ztz 148 6 the the DT cord-316393-ozl28ztz 148 7 full full JJ cord-316393-ozl28ztz 148 8 population population NN cord-316393-ozl28ztz 148 9 of of IN cord-316393-ozl28ztz 148 10 the the DT cord-316393-ozl28ztz 148 11 country country NN cord-316393-ozl28ztz 148 12 got get VBD cord-316393-ozl28ztz 148 13 infected infect VBN cord-316393-ozl28ztz 148 14 , , , cord-316393-ozl28ztz 148 15 since since IN cord-316393-ozl28ztz 148 16 the the DT cord-316393-ozl28ztz 148 17 number number NN cord-316393-ozl28ztz 148 18 N N NNP cord-316393-ozl28ztz 148 19 is be VBZ cord-316393-ozl28ztz 148 20 unknown unknown JJ cord-316393-ozl28ztz 148 21 and and CC cord-316393-ozl28ztz 148 22 , , , cord-316393-ozl28ztz 148 23 for for IN cord-316393-ozl28ztz 148 24 instance instance NN cord-316393-ozl28ztz 148 25 , , , cord-316393-ozl28ztz 148 26 excludes exclude VBZ cord-316393-ozl28ztz 148 27 individuals individual NNS cord-316393-ozl28ztz 148 28 in in IN cord-316393-ozl28ztz 148 29 isolated isolate VBN cord-316393-ozl28ztz 148 30 regions region NNS cord-316393-ozl28ztz 148 31 , , , cord-316393-ozl28ztz 148 32 and and CC cord-316393-ozl28ztz 148 33 it -PRON- PRP cord-316393-ozl28ztz 148 34 may may MD cord-316393-ozl28ztz 148 35 additionally additionally RB cord-316393-ozl28ztz 148 36 change change VB cord-316393-ozl28ztz 148 37 because because IN cord-316393-ozl28ztz 148 38 of of IN cord-316393-ozl28ztz 148 39 spatial spatial JJ cord-316393-ozl28ztz 148 40 migration migration NN cord-316393-ozl28ztz 148 41 , , , cord-316393-ozl28ztz 148 42 not not RB cord-316393-ozl28ztz 148 43 considered consider VBN cord-316393-ozl28ztz 148 44 in in IN cord-316393-ozl28ztz 148 45 the the DT cord-316393-ozl28ztz 148 46 model model NN cord-316393-ozl28ztz 148 47 . . . cord-316393-ozl28ztz 149 1 D d JJ cord-316393-ozl28ztz 149 2 - - HYPH cord-316393-ozl28ztz 149 3 model model NN cord-316393-ozl28ztz 149 4 predictions prediction NNS cord-316393-ozl28ztz 149 5 can can MD cord-316393-ozl28ztz 149 6 be be VB cord-316393-ozl28ztz 149 7 compared compare VBN cord-316393-ozl28ztz 149 8 with with IN cord-316393-ozl28ztz 149 9 more more RBR cord-316393-ozl28ztz 149 10 realistic realistic JJ cord-316393-ozl28ztz 149 11 results result NNS cord-316393-ozl28ztz 149 12 given give VBN cord-316393-ozl28ztz 149 13 by by IN cord-316393-ozl28ztz 149 14 the the DT cord-316393-ozl28ztz 149 15 complete complete JJ cord-316393-ozl28ztz 149 16 SIR SIR NNP cord-316393-ozl28ztz 149 17 model model NN cord-316393-ozl28ztz 149 18 [ [ -LRB- cord-316393-ozl28ztz 149 19 9 9 CD cord-316393-ozl28ztz 149 20 , , , cord-316393-ozl28ztz 149 21 11 11 CD cord-316393-ozl28ztz 149 22 ] ] -RRB- cord-316393-ozl28ztz 149 23 , , , cord-316393-ozl28ztz 149 24 which which WDT cord-316393-ozl28ztz 149 25 is be VBZ cord-316393-ozl28ztz 149 26 characterized characterize VBN cord-316393-ozl28ztz 149 27 by by IN cord-316393-ozl28ztz 149 28 Eqs Eqs NNP cord-316393-ozl28ztz 149 29 . . . cord-316393-ozl28ztz 150 1 1 1 CD cord-316393-ozl28ztz 150 2 , , , cord-316393-ozl28ztz 150 3 2 2 CD cord-316393-ozl28ztz 150 4 , , , cord-316393-ozl28ztz 150 5 3 3 CD cord-316393-ozl28ztz 150 6 and and CC cord-316393-ozl28ztz 150 7 4 4 CD cord-316393-ozl28ztz 150 8 with with IN cord-316393-ozl28ztz 150 9 initial initial JJ cord-316393-ozl28ztz 150 10 conditions condition NNS cord-316393-ozl28ztz 150 11 R(0 R(0 NNP cord-316393-ozl28ztz 150 12 ) ) -RRB- cord-316393-ozl28ztz 151 1 = = SYM cord-316393-ozl28ztz 151 2 0 0 CD cord-316393-ozl28ztz 151 3 , , , cord-316393-ozl28ztz 152 1 I(0 I(0 NNP cord-316393-ozl28ztz 152 2 ) ) -RRB- cord-316393-ozl28ztz 152 3 = = NFP cord-316393-ozl28ztz 153 1 I -PRON- PRP cord-316393-ozl28ztz 153 2 0 0 CD cord-316393-ozl28ztz 153 3 , , , cord-316393-ozl28ztz 153 4 S(0 S(0 NNP cord-316393-ozl28ztz 153 5 ) ) -RRB- cord-316393-ozl28ztz 154 1 = = NFP cord-316393-ozl28ztz 155 1 N N NNP cord-316393-ozl28ztz 155 2 − − NNP cord-316393-ozl28ztz 156 1 I -PRON- PRP cord-316393-ozl28ztz 156 2 0 0 CD cord-316393-ozl28ztz 156 3 . . . cord-316393-ozl28ztz 157 1 The the DT cord-316393-ozl28ztz 157 2 SIR SIR NNP cord-316393-ozl28ztz 157 3 system system NN cord-316393-ozl28ztz 157 4 of of IN cord-316393-ozl28ztz 157 5 dynamical dynamical JJ cord-316393-ozl28ztz 157 6 equations equation NNS cord-316393-ozl28ztz 157 7 can can MD cord-316393-ozl28ztz 157 8 be be VB cord-316393-ozl28ztz 157 9 reduced reduce VBN cord-316393-ozl28ztz 157 10 to to IN cord-316393-ozl28ztz 157 11 a a DT cord-316393-ozl28ztz 157 12 non non JJ cord-316393-ozl28ztz 157 13 - - JJ cord-316393-ozl28ztz 157 14 linear linear JJ cord-316393-ozl28ztz 157 15 differential differential JJ cord-316393-ozl28ztz 157 16 equation equation NN cord-316393-ozl28ztz 157 17 . . . cord-316393-ozl28ztz 158 1 First first RB cord-316393-ozl28ztz 158 2 , , , cord-316393-ozl28ztz 158 3 dividing divide VBG cord-316393-ozl28ztz 158 4 Eq Eq NNP cord-316393-ozl28ztz 158 5 . . NNP cord-316393-ozl28ztz 158 6 1 1 CD cord-316393-ozl28ztz 158 7 by by IN cord-316393-ozl28ztz 158 8 Eq Eq NNP cord-316393-ozl28ztz 158 9 . . . cord-316393-ozl28ztz 159 1 3 3 LS cord-316393-ozl28ztz 159 2 one one NN cord-316393-ozl28ztz 159 3 obtains obtain VBZ cord-316393-ozl28ztz 159 4 , , , cord-316393-ozl28ztz 159 5 which which WDT cord-316393-ozl28ztz 159 6 yields yield VBZ cord-316393-ozl28ztz 159 7 the the DT cord-316393-ozl28ztz 159 8 following follow VBG cord-316393-ozl28ztz 159 9 exponential exponential JJ cord-316393-ozl28ztz 159 10 relation relation NN cord-316393-ozl28ztz 159 11 between between IN cord-316393-ozl28ztz 159 12 the the DT cord-316393-ozl28ztz 159 13 susceptible susceptible JJ cord-316393-ozl28ztz 159 14 and and CC cord-316393-ozl28ztz 159 15 the the DT cord-316393-ozl28ztz 159 16 removed remove VBN cord-316393-ozl28ztz 159 17 functions function NNS cord-316393-ozl28ztz 159 18 , , , cord-316393-ozl28ztz 159 19 Moreover moreover RB cord-316393-ozl28ztz 159 20 , , , cord-316393-ozl28ztz 159 21 Eq Eq NNP cord-316393-ozl28ztz 159 22 . . . cord-316393-ozl28ztz 160 1 4 4 LS cord-316393-ozl28ztz 160 2 provides provide VBZ cord-316393-ozl28ztz 160 3 a a DT cord-316393-ozl28ztz 160 4 relation relation NN cord-316393-ozl28ztz 160 5 between between IN cord-316393-ozl28ztz 160 6 the the DT cord-316393-ozl28ztz 160 7 infected infected JJ cord-316393-ozl28ztz 160 8 and and CC cord-316393-ozl28ztz 160 9 the the DT cord-316393-ozl28ztz 160 10 removed remove VBN cord-316393-ozl28ztz 160 11 functions function NNS cord-316393-ozl28ztz 160 12 , , , cord-316393-ozl28ztz 160 13 which which WDT cord-316393-ozl28ztz 160 14 yields yield NNS cord-316393-ozl28ztz 160 15 , , , cord-316393-ozl28ztz 160 16 by by IN cord-316393-ozl28ztz 160 17 inserting insert VBG cord-316393-ozl28ztz 160 18 into into IN cord-316393-ozl28ztz 160 19 Eq Eq NNP cord-316393-ozl28ztz 160 20 . . . cord-316393-ozl28ztz 161 1 3 3 LS cord-316393-ozl28ztz 161 2 , , , cord-316393-ozl28ztz 161 3 the the DT cord-316393-ozl28ztz 161 4 final final JJ cord-316393-ozl28ztz 161 5 SIR SIR NNP cord-316393-ozl28ztz 161 6 differential differential JJ cord-316393-ozl28ztz 161 7 equation equation NN cord-316393-ozl28ztz 162 1 In in IN cord-316393-ozl28ztz 162 2 order order NN cord-316393-ozl28ztz 162 3 to to TO cord-316393-ozl28ztz 162 4 obtain obtain VB cord-316393-ozl28ztz 162 5 R(t R(t . cord-316393-ozl28ztz 162 6 ) ) -RRB- cord-316393-ozl28ztz 163 1 we -PRON- PRP cord-316393-ozl28ztz 163 2 only only RB cord-316393-ozl28ztz 163 3 need need VBP cord-316393-ozl28ztz 163 4 to to TO cord-316393-ozl28ztz 163 5 solve solve VB cord-316393-ozl28ztz 163 6 this this DT cord-316393-ozl28ztz 163 7 first first JJ cord-316393-ozl28ztz 163 8 - - HYPH cord-316393-ozl28ztz 163 9 order order NN cord-316393-ozl28ztz 163 10 differential differential JJ cord-316393-ozl28ztz 163 11 equation equation NN cord-316393-ozl28ztz 163 12 with with IN cord-316393-ozl28ztz 163 13 the the DT cord-316393-ozl28ztz 163 14 initial initial JJ cord-316393-ozl28ztz 163 15 condition condition NN cord-316393-ozl28ztz 163 16 R(0 R(0 NNP cord-316393-ozl28ztz 163 17 ) ) -RRB- cord-316393-ozl28ztz 164 1 = = SYM cord-316393-ozl28ztz 164 2 0 0 NFP cord-316393-ozl28ztz 164 3 . . . cord-316393-ozl28ztz 165 1 Moreover moreover RB cord-316393-ozl28ztz 165 2 , , , cord-316393-ozl28ztz 165 3 if if IN cord-316393-ozl28ztz 165 4 we -PRON- PRP cord-316393-ozl28ztz 165 5 normalize normalize VBP cord-316393-ozl28ztz 165 6 the the DT cord-316393-ozl28ztz 165 7 functions function NNS cord-316393-ozl28ztz 165 8 S S NNP cord-316393-ozl28ztz 165 9 , , , cord-316393-ozl28ztz 165 10 I -PRON- PRP cord-316393-ozl28ztz 165 11 and and CC cord-316393-ozl28ztz 165 12 R r NN cord-316393-ozl28ztz 165 13 to to IN cord-316393-ozl28ztz 165 14 1 1 CD cord-316393-ozl28ztz 165 15 , , , cord-316393-ozl28ztz 165 16 so so IN cord-316393-ozl28ztz 165 17 that that DT cord-316393-ozl28ztz 165 18 s s NN cord-316393-ozl28ztz 166 1 + + CC cord-316393-ozl28ztz 167 1 i i PRP cord-316393-ozl28ztz 168 1 + + CC cord-316393-ozl28ztz 169 1 r r LS cord-316393-ozl28ztz 169 2 = = SYM cord-316393-ozl28ztz 169 3 1 1 CD cord-316393-ozl28ztz 169 4 , , , cord-316393-ozl28ztz 169 5 then then RB cord-316393-ozl28ztz 169 6 r(t r(t NNP cord-316393-ozl28ztz 169 7 ) ) -RRB- cord-316393-ozl28ztz 169 8 verifies verify VBZ cord-316393-ozl28ztz 169 9 which which WDT cord-316393-ozl28ztz 169 10 can can MD cord-316393-ozl28ztz 169 11 be be VB cord-316393-ozl28ztz 169 12 solved solve VBN cord-316393-ozl28ztz 169 13 numerically numerically RB cord-316393-ozl28ztz 169 14 , , , cord-316393-ozl28ztz 169 15 or or CC cord-316393-ozl28ztz 169 16 by by IN cord-316393-ozl28ztz 169 17 approximate approximate JJ cord-316393-ozl28ztz 169 18 methods method NNS cord-316393-ozl28ztz 169 19 in in IN cord-316393-ozl28ztz 169 20 some some DT cord-316393-ozl28ztz 169 21 cases case NNS cord-316393-ozl28ztz 169 22 . . . cord-316393-ozl28ztz 170 1 In in IN cord-316393-ozl28ztz 170 2 Ref Ref NNP cord-316393-ozl28ztz 170 3 . . . cord-316393-ozl28ztz 171 1 [ [ -LRB- cord-316393-ozl28ztz 171 2 9 9 CD cord-316393-ozl28ztz 171 3 ] ] -RRB- cord-316393-ozl28ztz 171 4 , , , cord-316393-ozl28ztz 171 5 a a DT cord-316393-ozl28ztz 171 6 solution solution NN cord-316393-ozl28ztz 171 7 was be VBD cord-316393-ozl28ztz 171 8 found find VBN cord-316393-ozl28ztz 171 9 for for IN cord-316393-ozl28ztz 171 10 small small JJ cord-316393-ozl28ztz 171 11 values value NNS cord-316393-ozl28ztz 171 12 of of IN cord-316393-ozl28ztz 171 13 the the DT cord-316393-ozl28ztz 171 14 exponent exponent NN cord-316393-ozl28ztz 171 15 λ λ NN cord-316393-ozl28ztz 171 16 Nr Nr NNP cord-316393-ozl28ztz 171 17 / / SYM cord-316393-ozl28ztz 171 18 β β NN cord-316393-ozl28ztz 171 19 . . . cord-316393-ozl28ztz 172 1 For for IN cord-316393-ozl28ztz 172 2 the the DT cord-316393-ozl28ztz 172 3 coronavirus coronavirus NN cord-316393-ozl28ztz 172 4 pandemic pandemic NN cord-316393-ozl28ztz 172 5 , , , cord-316393-ozl28ztz 172 6 however however RB cord-316393-ozl28ztz 172 7 , , , cord-316393-ozl28ztz 172 8 this this DT cord-316393-ozl28ztz 172 9 number number NN cord-316393-ozl28ztz 172 10 is be VBZ cord-316393-ozl28ztz 172 11 expected expect VBN cord-316393-ozl28ztz 172 12 to to TO cord-316393-ozl28ztz 172 13 increase increase VB cord-316393-ozl28ztz 172 14 and and CC cord-316393-ozl28ztz 172 15 be be VB cord-316393-ozl28ztz 172 16 close close JJ cord-316393-ozl28ztz 172 17 to to IN cord-316393-ozl28ztz 172 18 one one CD cord-316393-ozl28ztz 172 19 at at IN cord-316393-ozl28ztz 172 20 the the DT cord-316393-ozl28ztz 172 21 pandemic pandemic NN cord-316393-ozl28ztz 172 22 end end NN cord-316393-ozl28ztz 172 23 . . . cord-316393-ozl28ztz 173 1 At at IN cord-316393-ozl28ztz 173 2 this this DT cord-316393-ozl28ztz 173 3 point point NN cord-316393-ozl28ztz 173 4 , , , cord-316393-ozl28ztz 173 5 we -PRON- PRP cord-316393-ozl28ztz 173 6 propose propose VBP cord-316393-ozl28ztz 173 7 a a DT cord-316393-ozl28ztz 173 8 modification modification NN cord-316393-ozl28ztz 173 9 of of IN cord-316393-ozl28ztz 173 10 the the DT cord-316393-ozl28ztz 173 11 standard standard JJ cord-316393-ozl28ztz 173 12 SIR SIR NNP cord-316393-ozl28ztz 173 13 model model NN cord-316393-ozl28ztz 173 14 . . . cord-316393-ozl28ztz 174 1 Instead instead RB cord-316393-ozl28ztz 174 2 of of IN cord-316393-ozl28ztz 174 3 solving solve VBG cord-316393-ozl28ztz 174 4 Eq Eq NNP cord-316393-ozl28ztz 174 5 . . . cord-316393-ozl28ztz 175 1 33 33 CD cord-316393-ozl28ztz 175 2 numerically numerically RB cord-316393-ozl28ztz 175 3 and and CC cord-316393-ozl28ztz 175 4 fitting fit VBG cord-316393-ozl28ztz 175 5 the the DT cord-316393-ozl28ztz 175 6 parameters parameter NNS cord-316393-ozl28ztz 175 7 to to IN cord-316393-ozl28ztz 175 8 data datum NNS cord-316393-ozl28ztz 175 9 , , , cord-316393-ozl28ztz 175 10 the the DT cord-316393-ozl28ztz 175 11 solution solution NN cord-316393-ozl28ztz 175 12 can can MD cord-316393-ozl28ztz 175 13 be be VB cord-316393-ozl28ztz 175 14 parametrized parametrize VBN cord-316393-ozl28ztz 175 15 as as IN cord-316393-ozl28ztz 175 16 which which WDT cord-316393-ozl28ztz 175 17 presents present VBZ cord-316393-ozl28ztz 175 18 the the DT cord-316393-ozl28ztz 175 19 same same JJ cord-316393-ozl28ztz 175 20 functional functional JJ cord-316393-ozl28ztz 175 21 form form NN cord-316393-ozl28ztz 175 22 as as IN cord-316393-ozl28ztz 175 23 the the DT cord-316393-ozl28ztz 175 24 D d NN cord-316393-ozl28ztz 175 25 - - HYPH cord-316393-ozl28ztz 175 26 model model NN cord-316393-ozl28ztz 175 27 and and CC cord-316393-ozl28ztz 175 28 , , , cord-316393-ozl28ztz 175 29 conveniently conveniently RB cord-316393-ozl28ztz 175 30 , , , cord-316393-ozl28ztz 175 31 provides provide VBZ cord-316393-ozl28ztz 175 32 a a DT cord-316393-ozl28ztz 175 33 faster fast JJR cord-316393-ozl28ztz 175 34 way way NN cord-316393-ozl28ztz 175 35 to to TO cord-316393-ozl28ztz 175 36 fit fit VB cord-316393-ozl28ztz 175 37 the the DT cord-316393-ozl28ztz 175 38 model model NN cord-316393-ozl28ztz 175 39 parameters parameter NNS cord-316393-ozl28ztz 175 40 by by IN cord-316393-ozl28ztz 175 41 avoiding avoid VBG cord-316393-ozl28ztz 175 42 the the DT cord-316393-ozl28ztz 175 43 numerical numerical JJ cord-316393-ozl28ztz 175 44 problem problem NN cord-316393-ozl28ztz 175 45 of of IN cord-316393-ozl28ztz 175 46 solving solve VBG cord-316393-ozl28ztz 175 47 Eq Eq NNP cord-316393-ozl28ztz 175 48 . . . cord-316393-ozl28ztz 176 1 33 33 CD cord-316393-ozl28ztz 176 2 . . . cord-316393-ozl28ztz 177 1 In in IN cord-316393-ozl28ztz 177 2 fact fact NN cord-316393-ozl28ztz 177 3 , , , cord-316393-ozl28ztz 177 4 numerical numerical JJ cord-316393-ozl28ztz 177 5 solutions solution NNS cord-316393-ozl28ztz 177 6 of of IN cord-316393-ozl28ztz 177 7 the the DT cord-316393-ozl28ztz 177 8 SIR SIR NNP cord-316393-ozl28ztz 177 9 model model NN cord-316393-ozl28ztz 177 10 present present VBP cord-316393-ozl28ztz 177 11 a a DT cord-316393-ozl28ztz 177 12 similar similar JJ cord-316393-ozl28ztz 177 13 step step NN cord-316393-ozl28ztz 177 14 function function NN cord-316393-ozl28ztz 177 15 for for IN cord-316393-ozl28ztz 177 16 R(t R(t NNP cord-316393-ozl28ztz 177 17 ) ) -RRB- cord-316393-ozl28ztz 177 18 . . . cord-316393-ozl28ztz 178 1 Additionally additionally RB cord-316393-ozl28ztz 178 2 , , , cord-316393-ozl28ztz 178 3 one one PRP cord-316393-ozl28ztz 178 4 can can MD cord-316393-ozl28ztz 178 5 assume assume VB cord-316393-ozl28ztz 178 6 that that IN cord-316393-ozl28ztz 178 7 D(t D(t NNP cord-316393-ozl28ztz 178 8 ) ) -RRB- cord-316393-ozl28ztz 178 9 is be VBZ cord-316393-ozl28ztz 178 10 proportional proportional JJ cord-316393-ozl28ztz 178 11 to to IN cord-316393-ozl28ztz 178 12 R(t R(t NNP cord-316393-ozl28ztz 178 13 ) ) -RRB- cord-316393-ozl28ztz 178 14 , , , cord-316393-ozl28ztz 178 15 and and CC cord-316393-ozl28ztz 178 16 can can MD cord-316393-ozl28ztz 178 17 also also RB cord-316393-ozl28ztz 178 18 be be VB cord-316393-ozl28ztz 178 19 written write VBN cord-316393-ozl28ztz 178 20 as as IN cord-316393-ozl28ztz 178 21 where where WRB cord-316393-ozl28ztz 178 22 a a DT cord-316393-ozl28ztz 178 23 2 2 CD cord-316393-ozl28ztz 178 24 , , , cord-316393-ozl28ztz 178 25 c c NN cord-316393-ozl28ztz 178 26 2 2 CD cord-316393-ozl28ztz 178 27 = = SYM cord-316393-ozl28ztz 178 28 s s NN cord-316393-ozl28ztz 178 29 0 0 CD cord-316393-ozl28ztz 178 30 and and CC cord-316393-ozl28ztz 178 31 b b NN cord-316393-ozl28ztz 178 32 2 2 CD cord-316393-ozl28ztz 178 33 = = NFP cord-316393-ozl28ztz 179 1 β β NNP cord-316393-ozl28ztz 179 2 /(λ /(λ NNP cord-316393-ozl28ztz 179 3 N N NNP cord-316393-ozl28ztz 179 4 ) ) -RRB- cord-316393-ozl28ztz 179 5 are be VBP cord-316393-ozl28ztz 179 6 unknown unknown JJ cord-316393-ozl28ztz 179 7 parameters parameter NNS cord-316393-ozl28ztz 179 8 to to TO cord-316393-ozl28ztz 179 9 be be VB cord-316393-ozl28ztz 179 10 fitted fit VBN cord-316393-ozl28ztz 179 11 to to IN cord-316393-ozl28ztz 179 12 deaths death NNS cord-316393-ozl28ztz 179 13 - - HYPH cord-316393-ozl28ztz 179 14 per per IN cord-316393-ozl28ztz 179 15 - - HYPH cord-316393-ozl28ztz 179 16 day day NN cord-316393-ozl28ztz 179 17 data datum NNS cord-316393-ozl28ztz 179 18 , , , cord-316393-ozl28ztz 179 19 together together RB cord-316393-ozl28ztz 179 20 with with IN cord-316393-ozl28ztz 179 21 the the DT cord-316393-ozl28ztz 179 22 three three CD cord-316393-ozl28ztz 179 23 parameters parameter NNS cord-316393-ozl28ztz 179 24 of of IN cord-316393-ozl28ztz 179 25 the the DT cord-316393-ozl28ztz 179 26 r(t)-function r(t)-function NN cord-316393-ozl28ztz 179 27 : : : cord-316393-ozl28ztz 179 28 a a LS cord-316393-ozl28ztz 179 29 , , , cord-316393-ozl28ztz 179 30 b b NN cord-316393-ozl28ztz 179 31 , , , cord-316393-ozl28ztz 179 32 c. c. NNP cord-316393-ozl28ztz 179 33 Figure Figure NNP cord-316393-ozl28ztz 179 34 9 9 CD cord-316393-ozl28ztz 179 35 shows show VBZ cord-316393-ozl28ztz 179 36 fits fit NNS cord-316393-ozl28ztz 179 37 of of IN cord-316393-ozl28ztz 179 38 the the DT cord-316393-ozl28ztz 179 39 ESIR ESIR NNP cord-316393-ozl28ztz 179 40 model model NN cord-316393-ozl28ztz 179 41 to to IN cord-316393-ozl28ztz 179 42 daily daily JJ cord-316393-ozl28ztz 179 43 deaths death NNS cord-316393-ozl28ztz 179 44 in in IN cord-316393-ozl28ztz 179 45 Spain Spain NNP cord-316393-ozl28ztz 179 46 during during IN cord-316393-ozl28ztz 179 47 the the DT cord-316393-ozl28ztz 179 48 coronavirus coronavirus NN cord-316393-ozl28ztz 179 49 spread spread VBD cord-316393-ozl28ztz 179 50 . . . cord-316393-ozl28ztz 180 1 The the DT cord-316393-ozl28ztz 180 2 use use NN cord-316393-ozl28ztz 180 3 of of IN cord-316393-ozl28ztz 180 4 no no DT cord-316393-ozl28ztz 180 5 boundary boundary JJ cord-316393-ozl28ztz 180 6 condition condition NN cord-316393-ozl28ztz 180 7 for for IN cord-316393-ozl28ztz 180 8 the the DT cord-316393-ozl28ztz 180 9 number number NN cord-316393-ozl28ztz 180 10 of of IN cord-316393-ozl28ztz 180 11 deaths death NNS cord-316393-ozl28ztz 180 12 ( ( -LRB- cord-316393-ozl28ztz 180 13 left left JJ cord-316393-ozl28ztz 180 14 panel panel NN cord-316393-ozl28ztz 180 15 ) ) -RRB- cord-316393-ozl28ztz 180 16 is be VBZ cord-316393-ozl28ztz 180 17 not not RB cord-316393-ozl28ztz 180 18 an an DT cord-316393-ozl28ztz 180 19 exact exact JJ cord-316393-ozl28ztz 180 20 solution solution NN cord-316393-ozl28ztz 180 21 of of IN cord-316393-ozl28ztz 180 22 the the DT cord-316393-ozl28ztz 180 23 SIR SIR NNP cord-316393-ozl28ztz 180 24 differential differential JJ cord-316393-ozl28ztz 180 25 equation equation NN cord-316393-ozl28ztz 180 26 . . . cord-316393-ozl28ztz 181 1 A a DT cord-316393-ozl28ztz 181 2 way way NN cord-316393-ozl28ztz 181 3 to to TO cord-316393-ozl28ztz 181 4 solve solve VB cord-316393-ozl28ztz 181 5 this this DT cord-316393-ozl28ztz 181 6 problem problem NN cord-316393-ozl28ztz 181 7 is be VBZ cord-316393-ozl28ztz 181 8 to to TO cord-316393-ozl28ztz 181 9 impose impose VB cord-316393-ozl28ztz 181 10 the the DT cord-316393-ozl28ztz 181 11 condition condition NN cord-316393-ozl28ztz 181 12 D d NN cord-316393-ozl28ztz 181 13 ( ( -LRB- cord-316393-ozl28ztz 181 14 ∞ ∞ NNP cord-316393-ozl28ztz 181 15 ) ) -RRB- cord-316393-ozl28ztz 181 16 = = SYM cord-316393-ozl28ztz 181 17 0 0 CD cord-316393-ozl28ztz 181 18 , , , cord-316393-ozl28ztz 181 19 as as IN cord-316393-ozl28ztz 181 20 the the DT cord-316393-ozl28ztz 181 21 number number NN cord-316393-ozl28ztz 181 22 of of IN cord-316393-ozl28ztz 181 23 deaths death NNS cord-316393-ozl28ztz 181 24 must must MD cord-316393-ozl28ztz 181 25 stop stop VB cord-316393-ozl28ztz 181 26 at at IN cord-316393-ozl28ztz 181 27 some some DT cord-316393-ozl28ztz 181 28 time time NN cord-316393-ozl28ztz 181 29 . . . cord-316393-ozl28ztz 182 1 Numerically numerically RB cord-316393-ozl28ztz 182 2 , , , cord-316393-ozl28ztz 182 3 it -PRON- PRP cord-316393-ozl28ztz 182 4 is be VBZ cord-316393-ozl28ztz 182 5 enough enough JJ cord-316393-ozl28ztz 182 6 to to TO cord-316393-ozl28ztz 182 7 choose choose VB cord-316393-ozl28ztz 182 8 a a DT cord-316393-ozl28ztz 182 9 small small JJ cord-316393-ozl28ztz 182 10 value value NN cord-316393-ozl28ztz 182 11 of of IN cord-316393-ozl28ztz 182 12 D d NN cord-316393-ozl28ztz 182 13 ( ( -LRB- cord-316393-ozl28ztz 182 14 t t NN cord-316393-ozl28ztz 182 15 ) ) -RRB- cord-316393-ozl28ztz 182 16 for for IN cord-316393-ozl28ztz 182 17 an an DT cord-316393-ozl28ztz 182 18 arbitrary arbitrary JJ cord-316393-ozl28ztz 182 19 large large JJ cord-316393-ozl28ztz 182 20 t. t. NN cord-316393-ozl28ztz 183 1 The the DT cord-316393-ozl28ztz 183 2 middle middle JJ cord-316393-ozl28ztz 183 3 and and CC cord-316393-ozl28ztz 183 4 right right JJ cord-316393-ozl28ztz 183 5 panels panel NNS cord-316393-ozl28ztz 183 6 of of IN cord-316393-ozl28ztz 183 7 Fig Fig NNP cord-316393-ozl28ztz 183 8 . . . cord-316393-ozl28ztz 184 1 9 9 CD cord-316393-ozl28ztz 184 2 show show VBP cord-316393-ozl28ztz 184 3 different different JJ cord-316393-ozl28ztz 184 4 boundary boundary JJ cord-316393-ozl28ztz 184 5 conditions condition NNS cord-316393-ozl28ztz 184 6 of of IN cord-316393-ozl28ztz 184 7 D D NNP cord-316393-ozl28ztz 184 8 ( ( -LRB- cord-316393-ozl28ztz 184 9 100 100 CD cord-316393-ozl28ztz 184 10 ) ) -RRB- cord-316393-ozl28ztz 184 11 = = NFP cord-316393-ozl28ztz 185 1 10 10 CD cord-316393-ozl28ztz 185 2 and and CC cord-316393-ozl28ztz 185 3 D D NNP cord-316393-ozl28ztz 185 4 ( ( -LRB- cord-316393-ozl28ztz 185 5 100 100 CD cord-316393-ozl28ztz 185 6 ) ) -RRB- cord-316393-ozl28ztz 185 7 = = SYM cord-316393-ozl28ztz 185 8 5 5 CD cord-316393-ozl28ztz 185 9 , , , cord-316393-ozl28ztz 185 10 respectively respectively RB cord-316393-ozl28ztz 185 11 , , , cord-316393-ozl28ztz 185 12 which which WDT cord-316393-ozl28ztz 185 13 yield yield VBP cord-316393-ozl28ztz 185 14 the the DT cord-316393-ozl28ztz 185 15 same same JJ cord-316393-ozl28ztz 185 16 results result NNS cord-316393-ozl28ztz 185 17 and and CC cord-316393-ozl28ztz 185 18 the the DT cord-316393-ozl28ztz 185 19 expected expect VBN cord-316393-ozl28ztz 185 20 behavior behavior NN cord-316393-ozl28ztz 185 21 for for IN cord-316393-ozl28ztz 185 22 a a DT cord-316393-ozl28ztz 185 23 viral viral JJ cord-316393-ozl28ztz 185 24 disease disease NN cord-316393-ozl28ztz 185 25 spreading spread VBG cord-316393-ozl28ztz 185 26 and and CC cord-316393-ozl28ztz 185 27 declining decline VBG cord-316393-ozl28ztz 185 28 . . . cord-316393-ozl28ztz 186 1 It -PRON- PRP cord-316393-ozl28ztz 186 2 is be VBZ cord-316393-ozl28ztz 186 3 also also RB cord-316393-ozl28ztz 186 4 consistently consistently RB cord-316393-ozl28ztz 186 5 observed observe VBN cord-316393-ozl28ztz 186 6 ( ( -LRB- cord-316393-ozl28ztz 186 7 e.g. e.g. RB cord-316393-ozl28ztz 186 8 see see VBP cord-316393-ozl28ztz 186 9 middle middle JJ cord-316393-ozl28ztz 186 10 and and CC cord-316393-ozl28ztz 186 11 right right JJ cord-316393-ozl28ztz 186 12 panels panel NNS cord-316393-ozl28ztz 186 13 of of IN cord-316393-ozl28ztz 186 14 Fig Fig NNP cord-316393-ozl28ztz 186 15 . . . cord-316393-ozl28ztz 187 1 9 9 LS cord-316393-ozl28ztz 187 2 ) ) -RRB- cord-316393-ozl28ztz 187 3 , , , cord-316393-ozl28ztz 187 4 that that IN cord-316393-ozl28ztz 187 5 at at IN cord-316393-ozl28ztz 187 6 large large JJ cord-316393-ozl28ztz 187 7 t t NN cord-316393-ozl28ztz 187 8 , , , cord-316393-ozl28ztz 187 9 r(t r(t NNP cord-316393-ozl28ztz 187 10 ) ) -RRB- cord-316393-ozl28ztz 187 11 → → WDT cord-316393-ozl28ztz 187 12 a a DT cord-316393-ozl28ztz 187 13 c c NN cord-316393-ozl28ztz 187 14 ≈ ≈ NNP cord-316393-ozl28ztz 187 15 1 1 CD cord-316393-ozl28ztz 187 16 , , , cord-316393-ozl28ztz 187 17 which which WDT cord-316393-ozl28ztz 187 18 essentially essentially RB cord-316393-ozl28ztz 187 19 8 8 CD cord-316393-ozl28ztz 187 20 means mean VBZ cord-316393-ozl28ztz 187 21 that that IN cord-316393-ozl28ztz 187 22 most most JJS cord-316393-ozl28ztz 187 23 of of IN cord-316393-ozl28ztz 187 24 the the DT cord-316393-ozl28ztz 187 25 susceptible susceptible JJ cord-316393-ozl28ztz 187 26 population population NN cord-316393-ozl28ztz 187 27 N N NNP cord-316393-ozl28ztz 187 28 recovers recover VBZ cord-316393-ozl28ztz 187 29 , , , cord-316393-ozl28ztz 187 30 as as IN cord-316393-ozl28ztz 187 31 we -PRON- PRP cord-316393-ozl28ztz 187 32 previously previously RB cord-316393-ozl28ztz 187 33 inferred infer VBD cord-316393-ozl28ztz 187 34 from from IN cord-316393-ozl28ztz 187 35 the the DT cord-316393-ozl28ztz 187 36 D D NNP cord-316393-ozl28ztz 187 37 model model NN cord-316393-ozl28ztz 187 38 . . . cord-316393-ozl28ztz 188 1 As as IN cord-316393-ozl28ztz 188 2 shown show VBN cord-316393-ozl28ztz 188 3 in in IN cord-316393-ozl28ztz 188 4 Fig Fig NNP cord-316393-ozl28ztz 188 5 . . . cord-316393-ozl28ztz 189 1 10 10 CD cord-316393-ozl28ztz 189 2 , , , cord-316393-ozl28ztz 189 3 the the DT cord-316393-ozl28ztz 189 4 ESIR ESIR NNP cord-316393-ozl28ztz 189 5 model model NN cord-316393-ozl28ztz 189 6 , , , cord-316393-ozl28ztz 189 7 where where WRB cord-316393-ozl28ztz 189 8 c c NN cord-316393-ozl28ztz 189 9 2 2 CD cord-316393-ozl28ztz 189 10 has have VBZ cord-316393-ozl28ztz 189 11 been be VBN cord-316393-ozl28ztz 189 12 adjusted adjust VBN cord-316393-ozl28ztz 189 13 to to IN cord-316393-ozl28ztz 189 14 1 1 CD cord-316393-ozl28ztz 189 15 , , , cord-316393-ozl28ztz 189 16 is be VBZ cord-316393-ozl28ztz 189 17 characterized characterize VBN cord-316393-ozl28ztz 189 18 by by IN cord-316393-ozl28ztz 189 19 a a DT cord-316393-ozl28ztz 189 20 broad broad JJ cord-316393-ozl28ztz 189 21 plateau plateau NN cord-316393-ozl28ztz 189 22 structure structure NN cord-316393-ozl28ztz 189 23 which which WDT cord-316393-ozl28ztz 189 24 , , , cord-316393-ozl28ztz 189 25 again again RB cord-316393-ozl28ztz 189 26 , , , cord-316393-ozl28ztz 189 27 does do VBZ cord-316393-ozl28ztz 189 28 not not RB cord-316393-ozl28ztz 189 29 consider consider VB cord-316393-ozl28ztz 189 30 additional additional JJ cord-316393-ozl28ztz 189 31 spatialtime spatialtime JJ cord-316393-ozl28ztz 189 32 effects effect NNS cord-316393-ozl28ztz 189 33 . . . cord-316393-ozl28ztz 190 1 As as IN cord-316393-ozl28ztz 190 2 previously previously RB cord-316393-ozl28ztz 190 3 done do VBN cord-316393-ozl28ztz 190 4 with with IN cord-316393-ozl28ztz 190 5 the the DT cord-316393-ozl28ztz 190 6 D D NNP cord-316393-ozl28ztz 190 7 model model NN cord-316393-ozl28ztz 190 8 , , , cord-316393-ozl28ztz 190 9 one one PRP cord-316393-ozl28ztz 190 10 can can MD cord-316393-ozl28ztz 190 11 also also RB cord-316393-ozl28ztz 190 12 expand expand VB cord-316393-ozl28ztz 190 13 the the DT cord-316393-ozl28ztz 190 14 ESIR ESIR NNP cord-316393-ozl28ztz 190 15 model model NN cord-316393-ozl28ztz 190 16 to to TO cord-316393-ozl28ztz 190 17 accommodate accommodate VB cord-316393-ozl28ztz 190 18 its -PRON- PRP$ cord-316393-ozl28ztz 190 19 failure failure NN cord-316393-ozl28ztz 190 20 to to TO cord-316393-ozl28ztz 190 21 take take VB cord-316393-ozl28ztz 190 22 additional additional JJ cord-316393-ozl28ztz 190 23 spatial spatial JJ cord-316393-ozl28ztz 190 24 - - HYPH cord-316393-ozl28ztz 190 25 time time NN cord-316393-ozl28ztz 190 26 effects effect NNS cord-316393-ozl28ztz 190 27 into into IN cord-316393-ozl28ztz 190 28 account account NN cord-316393-ozl28ztz 190 29 . . . cord-316393-ozl28ztz 191 1 Similarly similarly RB cord-316393-ozl28ztz 191 2 , , , cord-316393-ozl28ztz 191 3 the the DT cord-316393-ozl28ztz 191 4 ESIR2 esir2 NN cord-316393-ozl28ztz 191 5 model model NN cord-316393-ozl28ztz 191 6 is be VBZ cord-316393-ozl28ztz 191 7 proposed propose VBN cord-316393-ozl28ztz 191 8 as as IN cord-316393-ozl28ztz 191 9 , , , cord-316393-ozl28ztz 191 10 with with IN cord-316393-ozl28ztz 191 11 where where WRB cord-316393-ozl28ztz 191 12 we -PRON- PRP cord-316393-ozl28ztz 191 13 have have VBP cord-316393-ozl28ztz 191 14 assumed assume VBN cord-316393-ozl28ztz 191 15 that that IN cord-316393-ozl28ztz 191 16 a a DT cord-316393-ozl28ztz 191 17 = = SYM cord-316393-ozl28ztz 191 18 a a NN cord-316393-ozl28ztz 191 19 and and CC cord-316393-ozl28ztz 191 20 c c NN cord-316393-ozl28ztz 191 21 = = SYM cord-316393-ozl28ztz 191 22 2a 2a NN cord-316393-ozl28ztz 191 23 to to TO cord-316393-ozl28ztz 191 24 accommodate accommodate VB cord-316393-ozl28ztz 191 25 that that DT cord-316393-ozl28ztz 191 26 r(∞ r(∞ NN cord-316393-ozl28ztz 191 27 ) ) -RRB- cord-316393-ozl28ztz 192 1 → → IN cord-316393-ozl28ztz 192 2 1 1 CD cord-316393-ozl28ztz 192 3 and and CC cord-316393-ozl28ztz 192 4 c c NN cord-316393-ozl28ztz 192 5 2 2 CD cord-316393-ozl28ztz 192 6 = = SYM cord-316393-ozl28ztz 192 7 1 1 CD cord-316393-ozl28ztz 192 8 . . . cord-316393-ozl28ztz 193 1 Hence hence RB cord-316393-ozl28ztz 193 2 , , , cord-316393-ozl28ztz 193 3 we -PRON- PRP cord-316393-ozl28ztz 193 4 are be VBP cord-316393-ozl28ztz 193 5 left leave VBN cord-316393-ozl28ztz 193 6 with with IN cord-316393-ozl28ztz 193 7 five five CD cord-316393-ozl28ztz 193 8 free free JJ cord-316393-ozl28ztz 193 9 parameters parameter NNS cord-316393-ozl28ztz 193 10 . . . cord-316393-ozl28ztz 194 1 Figure figure NN cord-316393-ozl28ztz 194 2 11 11 CD cord-316393-ozl28ztz 194 3 shows show VBZ cord-316393-ozl28ztz 194 4 the the DT cord-316393-ozl28ztz 194 5 comparison comparison NN cord-316393-ozl28ztz 194 6 between between IN cord-316393-ozl28ztz 194 7 the the DT cord-316393-ozl28ztz 194 8 ESIR2 esir2 NN cord-316393-ozl28ztz 194 9 and and CC cord-316393-ozl28ztz 194 10 D D NNP cord-316393-ozl28ztz 194 11 2 2 CD cord-316393-ozl28ztz 194 12 fits fit VBZ cord-316393-ozl28ztz 194 13 to to IN cord-316393-ozl28ztz 194 14 real real JJ cord-316393-ozl28ztz 194 15 data datum NNS cord-316393-ozl28ztz 194 16 for for IN cord-316393-ozl28ztz 194 17 some some DT cord-316393-ozl28ztz 194 18 European european JJ cord-316393-ozl28ztz 194 19 countries country NNS cord-316393-ozl28ztz 194 20 where where WRB cord-316393-ozl28ztz 194 21 COVID-19 COVID-19 NNP cord-316393-ozl28ztz 194 22 has have VBZ cord-316393-ozl28ztz 194 23 widely widely RB cord-316393-ozl28ztz 194 24 spread spread VBN cord-316393-ozl28ztz 194 25 : : : cord-316393-ozl28ztz 194 26 Germany Germany NNP cord-316393-ozl28ztz 194 27 , , , cord-316393-ozl28ztz 194 28 Italy Italy NNP cord-316393-ozl28ztz 194 29 , , , cord-316393-ozl28ztz 194 30 France France NNP cord-316393-ozl28ztz 194 31 , , , cord-316393-ozl28ztz 194 32 Spain Spain NNP cord-316393-ozl28ztz 194 33 , , , cord-316393-ozl28ztz 194 34 United United NNP cord-316393-ozl28ztz 194 35 Kingdom Kingdom NNP cord-316393-ozl28ztz 194 36 , , , cord-316393-ozl28ztz 194 37 Sweden Sweden NNP cord-316393-ozl28ztz 194 38 , , , cord-316393-ozl28ztz 194 39 Belgium Belgium NNP cord-316393-ozl28ztz 194 40 and and CC cord-316393-ozl28ztz 194 41 Netherlands Netherlands NNP cord-316393-ozl28ztz 194 42 , , , cord-316393-ozl28ztz 194 43 which which WDT cord-316393-ozl28ztz 194 44 indicate indicate VBP cord-316393-ozl28ztz 194 45 a a DT cord-316393-ozl28ztz 194 46 common common JJ cord-316393-ozl28ztz 194 47 pattern pattern NN cord-316393-ozl28ztz 194 48 for for IN cord-316393-ozl28ztz 194 49 the the DT cord-316393-ozl28ztz 194 50 evolution evolution NN cord-316393-ozl28ztz 194 51 of of IN cord-316393-ozl28ztz 194 52 the the DT cord-316393-ozl28ztz 194 53 COVID-19 COVID-19 NNP cord-316393-ozl28ztz 194 54 pandemic pandemic NN cord-316393-ozl28ztz 194 55 . . . cord-316393-ozl28ztz 195 1 Death death NN cord-316393-ozl28ztz 195 2 data datum NNS cord-316393-ozl28ztz 195 3 are be VBP cord-316393-ozl28ztz 195 4 taken take VBN cord-316393-ozl28ztz 195 5 from from IN cord-316393-ozl28ztz 195 6 Refs ref NNS cord-316393-ozl28ztz 195 7 . . . cord-316393-ozl28ztz 196 1 [ [ -LRB- cord-316393-ozl28ztz 196 2 19 19 CD cord-316393-ozl28ztz 196 3 , , , cord-316393-ozl28ztz 196 4 23 23 CD cord-316393-ozl28ztz 196 5 , , , cord-316393-ozl28ztz 196 6 24 24 CD cord-316393-ozl28ztz 196 7 ] ] -RRB- cord-316393-ozl28ztz 196 8 and and CC cord-316393-ozl28ztz 196 9 consider consider VB cord-316393-ozl28ztz 196 10 7-day 7-day JJ cord-316393-ozl28ztz 196 11 average average JJ cord-316393-ozl28ztz 196 12 smoothing smoothing NN cord-316393-ozl28ztz 196 13 to to TO cord-316393-ozl28ztz 196 14 correct correct VB cord-316393-ozl28ztz 196 15 for for IN cord-316393-ozl28ztz 196 16 anomalies anomaly NNS cord-316393-ozl28ztz 196 17 in in IN cord-316393-ozl28ztz 196 18 data datum NNS cord-316393-ozl28ztz 196 19 collection collection NN cord-316393-ozl28ztz 196 20 such such JJ cord-316393-ozl28ztz 196 21 as as IN cord-316393-ozl28ztz 196 22 the the DT cord-316393-ozl28ztz 196 23 typical typical JJ cord-316393-ozl28ztz 196 24 weekend weekend NN cord-316393-ozl28ztz 196 25 staggering stagger VBG cord-316393-ozl28ztz 196 26 observed observe VBN cord-316393-ozl28ztz 196 27 in in IN cord-316393-ozl28ztz 196 28 various various JJ cord-316393-ozl28ztz 196 29 countries country NNS cord-316393-ozl28ztz 196 30 , , , cord-316393-ozl28ztz 196 31 where where WRB cord-316393-ozl28ztz 196 32 weekend weekend NN cord-316393-ozl28ztz 196 33 data datum NNS cord-316393-ozl28ztz 196 34 are be VBP cord-316393-ozl28ztz 196 35 counted count VBN cord-316393-ozl28ztz 196 36 at at IN cord-316393-ozl28ztz 196 37 the the DT cord-316393-ozl28ztz 196 38 beginning beginning NN cord-316393-ozl28ztz 196 39 of of IN cord-316393-ozl28ztz 196 40 the the DT cord-316393-ozl28ztz 196 41 next next JJ cord-316393-ozl28ztz 196 42 week week NN cord-316393-ozl28ztz 196 43 . . . cord-316393-ozl28ztz 197 1 Real real JJ cord-316393-ozl28ztz 197 2 error error NN cord-316393-ozl28ztz 197 3 intervals interval NNS cord-316393-ozl28ztz 197 4 are be VBP cord-316393-ozl28ztz 197 5 extracted extract VBN cord-316393-ozl28ztz 197 6 from from IN cord-316393-ozl28ztz 197 7 the the DT cord-316393-ozl28ztz 197 8 correlation correlation NN cord-316393-ozl28ztz 197 9 matrix matrix NN cord-316393-ozl28ztz 197 10 . . . cord-316393-ozl28ztz 198 1 As as IN cord-316393-ozl28ztz 198 2 discussed discuss VBN cord-316393-ozl28ztz 198 3 in in IN cord-316393-ozl28ztz 198 4 Section section NN cord-316393-ozl28ztz 198 5 2.3 2.3 CD cord-316393-ozl28ztz 198 6 , , , cord-316393-ozl28ztz 198 7 the the DT cord-316393-ozl28ztz 198 8 reduced reduce VBN cord-316393-ozl28ztz 198 9 D D NNP cord-316393-ozl28ztz 198 10 2 2 CD cord-316393-ozl28ztz 198 11 model model NN cord-316393-ozl28ztz 198 12 has have VBZ cord-316393-ozl28ztz 198 13 been be VBN cord-316393-ozl28ztz 198 14 used use VBN cord-316393-ozl28ztz 198 15 with with IN cord-316393-ozl28ztz 198 16 a a DT cord-316393-ozl28ztz 198 17 = = SYM cord-316393-ozl28ztz 198 18 a a DT cord-316393-ozl28ztz 198 19 2 2 CD cord-316393-ozl28ztz 198 20 and and CC cord-316393-ozl28ztz 198 21 c c NN cord-316393-ozl28ztz 198 22 = = SYM cord-316393-ozl28ztz 198 23 c c NN cord-316393-ozl28ztz 198 24 2 2 CD cord-316393-ozl28ztz 198 25 . . . cord-316393-ozl28ztz 199 1 Although although IN cord-316393-ozl28ztz 199 2 arising arise VBG cord-316393-ozl28ztz 199 3 from from IN cord-316393-ozl28ztz 199 4 different different JJ cord-316393-ozl28ztz 199 5 assumptions assumption NNS cord-316393-ozl28ztz 199 6 -no -no : cord-316393-ozl28ztz 199 7 recovery recovery NN cord-316393-ozl28ztz 199 8 ( ( -LRB- cord-316393-ozl28ztz 199 9 D d NN cord-316393-ozl28ztz 199 10 - - HYPH cord-316393-ozl28ztz 199 11 model model NN cord-316393-ozl28ztz 199 12 ) ) -RRB- cord-316393-ozl28ztz 199 13 and and CC cord-316393-ozl28ztz 199 14 recovery recovery NN cord-316393-ozl28ztz 199 15 ( ( -LRB- cord-316393-ozl28ztz 199 16 ESIR ESIR NNP cord-316393-ozl28ztz 199 17 model model NN cord-316393-ozl28ztz 199 18 ) ) -RRB- cord-316393-ozl28ztz 200 1 -both -both CD cord-316393-ozl28ztz 200 2 models model NNS cord-316393-ozl28ztz 200 3 provide provide VBP cord-316393-ozl28ztz 200 4 similar similar JJ cord-316393-ozl28ztz 200 5 patterns pattern NNS cord-316393-ozl28ztz 200 6 following follow VBG cord-316393-ozl28ztz 200 7 the the DT cord-316393-ozl28ztz 200 8 data datum NNS cord-316393-ozl28ztz 200 9 trends trend NNS cord-316393-ozl28ztz 200 10 , , , cord-316393-ozl28ztz 200 11 with with IN cord-316393-ozl28ztz 200 12 slightly slightly RB cord-316393-ozl28ztz 200 13 better well JJR cord-316393-ozl28ztz 200 14 values value NNS cord-316393-ozl28ztz 200 15 of of IN cord-316393-ozl28ztz 200 16 χ χ CD cord-316393-ozl28ztz 200 17 2 2 CD cord-316393-ozl28ztz 200 18 per per IN cord-316393-ozl28ztz 200 19 degree degree NN cord-316393-ozl28ztz 200 20 of of IN cord-316393-ozl28ztz 200 21 freedom freedom NN cord-316393-ozl28ztz 200 22 for for IN cord-316393-ozl28ztz 200 23 the the DT cord-316393-ozl28ztz 200 24 ESIR2 esir2 NN cord-316393-ozl28ztz 200 25 model model NN cord-316393-ozl28ztz 200 26 . . . cord-316393-ozl28ztz 201 1 It -PRON- PRP cord-316393-ozl28ztz 201 2 is be VBZ cord-316393-ozl28ztz 201 3 also also RB cord-316393-ozl28ztz 201 4 interest- interest- JJ cord-316393-ozl28ztz 202 1 Figure figure NN cord-316393-ozl28ztz 202 2 11 11 CD cord-316393-ozl28ztz 202 3 : : : cord-316393-ozl28ztz 203 1 Reduced reduce VBN cord-316393-ozl28ztz 203 2 ESIR2 esir2 NN cord-316393-ozl28ztz 203 3 and and CC cord-316393-ozl28ztz 203 4 D D NNP cord-316393-ozl28ztz 203 5 2 2 CD cord-316393-ozl28ztz 203 6 model model NN cord-316393-ozl28ztz 203 7 fits fit VBZ cord-316393-ozl28ztz 203 8 to to IN cord-316393-ozl28ztz 203 9 deaths death NNS cord-316393-ozl28ztz 203 10 - - HYPH cord-316393-ozl28ztz 203 11 per per IN cord-316393-ozl28ztz 203 12 - - HYPH cord-316393-ozl28ztz 203 13 day day NN cord-316393-ozl28ztz 203 14 data datum NNS cord-316393-ozl28ztz 203 15 up up IN cord-316393-ozl28ztz 203 16 to to IN cord-316393-ozl28ztz 203 17 August August NNP cord-316393-ozl28ztz 203 18 9 9 CD cord-316393-ozl28ztz 203 19 . . . cord-316393-ozl28ztz 204 1 ing e VBG cord-316393-ozl28ztz 204 2 to to TO cord-316393-ozl28ztz 204 3 note note VB cord-316393-ozl28ztz 204 4 that that IN cord-316393-ozl28ztz 204 5 the the DT cord-316393-ozl28ztz 204 6 reduced reduce VBN cord-316393-ozl28ztz 204 7 ESIR2 esir2 NN cord-316393-ozl28ztz 204 8 model model NN cord-316393-ozl28ztz 204 9 with with IN cord-316393-ozl28ztz 204 10 five five CD cord-316393-ozl28ztz 204 11 parameters parameter NNS cord-316393-ozl28ztz 204 12 yields yield NNS cord-316393-ozl28ztz 204 13 similar similar JJ cord-316393-ozl28ztz 204 14 results result NNS cord-316393-ozl28ztz 204 15 to to IN cord-316393-ozl28ztz 204 16 the the DT cord-316393-ozl28ztz 204 17 full full JJ cord-316393-ozl28ztz 204 18 ESIR2 esir2 NN cord-316393-ozl28ztz 204 19 model model NN cord-316393-ozl28ztz 204 20 , , , cord-316393-ozl28ztz 204 21 with with IN cord-316393-ozl28ztz 204 22 eight eight CD cord-316393-ozl28ztz 204 23 parameters parameter NNS cord-316393-ozl28ztz 204 24 . . . cord-316393-ozl28ztz 205 1 As as IN cord-316393-ozl28ztz 205 2 data datum NNS cord-316393-ozl28ztz 205 3 become become VBP cord-316393-ozl28ztz 205 4 available available JJ cord-316393-ozl28ztz 205 5 , , , cord-316393-ozl28ztz 205 6 daily daily JJ cord-316393-ozl28ztz 205 7 predictions prediction NNS cord-316393-ozl28ztz 205 8 vary vary VBP cord-316393-ozl28ztz 205 9 for for IN cord-316393-ozl28ztz 205 10 both both DT cord-316393-ozl28ztz 205 11 ESIR2 ESIR2 NNS cord-316393-ozl28ztz 205 12 and and CC cord-316393-ozl28ztz 205 13 the the DT cord-316393-ozl28ztz 205 14 D d NN cord-316393-ozl28ztz 205 15 2 2 CD cord-316393-ozl28ztz 205 16 models model NNS cord-316393-ozl28ztz 205 17 . . . cord-316393-ozl28ztz 206 1 This this DT cord-316393-ozl28ztz 206 2 is be VBZ cord-316393-ozl28ztz 206 3 because because IN cord-316393-ozl28ztz 206 4 the the DT cord-316393-ozl28ztz 206 5 model model NN cord-316393-ozl28ztz 206 6 parameters parameter NNS cord-316393-ozl28ztz 206 7 are be VBP cord-316393-ozl28ztz 206 8 actually actually RB cord-316393-ozl28ztz 206 9 statistical statistical JJ cord-316393-ozl28ztz 206 10 averages average NNS cord-316393-ozl28ztz 206 11 over over IN cord-316393-ozl28ztz 206 12 space space NN cord-316393-ozl28ztz 206 13 - - HYPH cord-316393-ozl28ztz 206 14 time time NN cord-316393-ozl28ztz 206 15 of of IN cord-316393-ozl28ztz 206 16 the the DT cord-316393-ozl28ztz 206 17 properties property NNS cord-316393-ozl28ztz 206 18 of of IN cord-316393-ozl28ztz 206 19 the the DT cord-316393-ozl28ztz 206 20 complex complex JJ cord-316393-ozl28ztz 206 21 system system NN cord-316393-ozl28ztz 206 22 . . . cord-316393-ozl28ztz 207 1 No no DT cord-316393-ozl28ztz 207 2 model model NN cord-316393-ozl28ztz 207 3 is be VBZ cord-316393-ozl28ztz 207 4 able able JJ cord-316393-ozl28ztz 207 5 to to TO cord-316393-ozl28ztz 207 6 predict predict VB cord-316393-ozl28ztz 207 7 changes change NNS cord-316393-ozl28ztz 207 8 over over IN cord-316393-ozl28ztz 207 9 time time NN cord-316393-ozl28ztz 207 10 of of IN cord-316393-ozl28ztz 207 11 these these DT cord-316393-ozl28ztz 207 12 properties property NNS cord-316393-ozl28ztz 207 13 if if IN cord-316393-ozl28ztz 207 14 the the DT cord-316393-ozl28ztz 207 15 physical physical JJ cord-316393-ozl28ztz 207 16 causes cause NNS cord-316393-ozl28ztz 207 17 of of IN cord-316393-ozl28ztz 207 18 these these DT cord-316393-ozl28ztz 207 19 changes change NNS cord-316393-ozl28ztz 207 20 are be VBP cord-316393-ozl28ztz 207 21 not not RB cord-316393-ozl28ztz 207 22 included include VBN cord-316393-ozl28ztz 207 23 . . . cord-316393-ozl28ztz 208 1 The the DT cord-316393-ozl28ztz 208 2 values value NNS cord-316393-ozl28ztz 208 3 of of IN cord-316393-ozl28ztz 208 4 the the DT cord-316393-ozl28ztz 208 5 model model NN cord-316393-ozl28ztz 208 6 parameters parameter NNS cord-316393-ozl28ztz 208 7 are be VBP cord-316393-ozl28ztz 208 8 only only RB cord-316393-ozl28ztz 208 9 well well RB cord-316393-ozl28ztz 208 10 defined define VBN cord-316393-ozl28ztz 208 11 when when WRB cord-316393-ozl28ztz 208 12 the the DT cord-316393-ozl28ztz 208 13 disease disease NN cord-316393-ozl28ztz 208 14 spread spread VBD cord-316393-ozl28ztz 208 15 is be VBZ cord-316393-ozl28ztz 208 16 coming come VBG cord-316393-ozl28ztz 208 17 to to IN cord-316393-ozl28ztz 208 18 an an DT cord-316393-ozl28ztz 208 19 end end NN cord-316393-ozl28ztz 208 20 and and CC cord-316393-ozl28ztz 208 21 time time NN cord-316393-ozl28ztz 208 22 changes change NNS cord-316393-ozl28ztz 208 23 in in IN cord-316393-ozl28ztz 208 24 the the DT cord-316393-ozl28ztz 208 25 parameters parameter NNS cord-316393-ozl28ztz 208 26 have have VBP cord-316393-ozl28ztz 208 27 little little JJ cord-316393-ozl28ztz 208 28 influence influence NN cord-316393-ozl28ztz 208 29 . . . cord-316393-ozl28ztz 209 1 Contrarily contrarily RB cord-316393-ozl28ztz 209 2 , , , cord-316393-ozl28ztz 209 3 Fig Fig NNP cord-316393-ozl28ztz 209 4 . . . cord-316393-ozl28ztz 209 5 12 12 CD cord-316393-ozl28ztz 209 6 shows show VBZ cord-316393-ozl28ztz 209 7 clear clear JJ cord-316393-ozl28ztz 209 8 discrepancies discrepancy NNS cord-316393-ozl28ztz 209 9 between between IN cord-316393-ozl28ztz 209 10 D D NNP cord-316393-ozl28ztz 209 11 2 2 CD cord-316393-ozl28ztz 209 12 and and CC cord-316393-ozl28ztz 209 13 ESIR2 ESIR2 NNP cord-316393-ozl28ztz 209 14 fits fit NNS cord-316393-ozl28ztz 209 15 to to IN cord-316393-ozl28ztz 209 16 data datum NNS cord-316393-ozl28ztz 209 17 with with IN cord-316393-ozl28ztz 209 18 larger large JJR cord-316393-ozl28ztz 209 19 χ χ CD cord-316393-ozl28ztz 209 20 2 2 CD cord-316393-ozl28ztz 209 21 /ndf /ndf CD cord-316393-ozl28ztz 209 22 values value NNS cord-316393-ozl28ztz 209 23 . . . cord-316393-ozl28ztz 210 1 There there EX cord-316393-ozl28ztz 210 2 are be VBP cord-316393-ozl28ztz 210 3 several several JJ cord-316393-ozl28ztz 210 4 reasons reason NNS cord-316393-ozl28ztz 210 5 for for IN cord-316393-ozl28ztz 210 6 these these DT cord-316393-ozl28ztz 210 7 anomalies anomaly NNS cord-316393-ozl28ztz 210 8 : : : cord-316393-ozl28ztz 210 9 1 1 LS cord-316393-ozl28ztz 210 10 ) ) -RRB- cord-316393-ozl28ztz 210 11 a a DT cord-316393-ozl28ztz 210 12 second second JJ cord-316393-ozl28ztz 210 13 wave wave NN cord-316393-ozl28ztz 210 14 surges surge NNS cord-316393-ozl28ztz 210 15 as as IN cord-316393-ozl28ztz 210 16 lockdown lockdown NN cord-316393-ozl28ztz 210 17 measures measure NNS cord-316393-ozl28ztz 210 18 are be VBP cord-316393-ozl28ztz 210 19 suddenly suddenly RB cord-316393-ozl28ztz 210 20 released release VBN cord-316393-ozl28ztz 210 21 , , , cord-316393-ozl28ztz 210 22 as as IN cord-316393-ozl28ztz 210 23 clearly clearly RB cord-316393-ozl28ztz 210 24 shown show VBN cord-316393-ozl28ztz 210 25 in in IN cord-316393-ozl28ztz 210 26 the the DT cord-316393-ozl28ztz 210 27 case case NN cord-316393-ozl28ztz 210 28 of of IN cord-316393-ozl28ztz 210 29 Iran Iran NNP cord-316393-ozl28ztz 210 30 , , , cord-316393-ozl28ztz 210 31 2 2 CD cord-316393-ozl28ztz 210 32 ) ) -RRB- cord-316393-ozl28ztz 210 33 different different JJ cord-316393-ozl28ztz 210 34 spatial spatial JJ cord-316393-ozl28ztz 210 35 - - HYPH cord-316393-ozl28ztz 210 36 time time NN cord-316393-ozl28ztz 210 37 effects effect NNS cord-316393-ozl28ztz 210 38 as as IN cord-316393-ozl28ztz 210 39 the the DT cord-316393-ozl28ztz 210 40 virus virus NN cord-316393-ozl28ztz 210 41 spreads spread VBZ cord-316393-ozl28ztz 210 42 throughout throughout IN cord-316393-ozl28ztz 210 43 a a DT cord-316393-ozl28ztz 210 44 large large JJ cord-316393-ozl28ztz 210 45 country country NN cord-316393-ozl28ztz 210 46 , , , cord-316393-ozl28ztz 210 47 or or CC cord-316393-ozl28ztz 210 48 , , , cord-316393-ozl28ztz 210 49 generally generally RB cord-316393-ozl28ztz 210 50 , , , cord-316393-ozl28ztz 210 51 3 3 LS cord-316393-ozl28ztz 210 52 ) ) -RRB- cord-316393-ozl28ztz 210 53 simply simply RB cord-316393-ozl28ztz 210 54 because because IN cord-316393-ozl28ztz 210 55 of of IN cord-316393-ozl28ztz 210 56 defective defective JJ cord-316393-ozl28ztz 210 57 counting counting NN cord-316393-ozl28ztz 210 58 ( ( -LRB- cord-316393-ozl28ztz 210 59 e.g. e.g. JJ cord-316393-ozl28ztz 210 60 weekend weekend NN cord-316393-ozl28ztz 210 61 and and CC cord-316393-ozl28ztz 210 62 backlog backlog NN cord-316393-ozl28ztz 210 63 effects effect NNS cord-316393-ozl28ztz 210 64 ) ) -RRB- cord-316393-ozl28ztz 210 65 . . . cord-316393-ozl28ztz 211 1 More more RBR cord-316393-ozl28ztz 211 2 sophisticated sophisticated JJ cord-316393-ozl28ztz 211 3 calculations calculation NNS cord-316393-ozl28ztz 211 4 can can MD cord-316393-ozl28ztz 211 5 be be VB cord-316393-ozl28ztz 211 6 compared compare VBN cord-316393-ozl28ztz 211 7 with with IN cord-316393-ozl28ztz 211 8 D D NNP cord-316393-ozl28ztz 211 9 2 2 CD cord-316393-ozl28ztz 211 10 and and CC cord-316393-ozl28ztz 211 11 ESIR2 esir2 NN cord-316393-ozl28ztz 211 12 predictions prediction NNS cord-316393-ozl28ztz 211 13 . . . cord-316393-ozl28ztz 212 1 In in IN cord-316393-ozl28ztz 212 2 particular particular JJ cord-316393-ozl28ztz 212 3 , , , cord-316393-ozl28ztz 212 4 Monte Monte NNP cord-316393-ozl28ztz 212 5 Carlo Carlo NNP cord-316393-ozl28ztz 212 6 ( ( -LRB- cord-316393-ozl28ztz 212 7 MC MC NNP cord-316393-ozl28ztz 212 8 ) ) -RRB- cord-316393-ozl28ztz 212 9 simulations simulation NNS cord-316393-ozl28ztz 212 10 have have VBP cord-316393-ozl28ztz 212 11 also also RB cord-316393-ozl28ztz 212 12 been be VBN cord-316393-ozl28ztz 212 13 performed perform VBN cord-316393-ozl28ztz 212 14 in in IN cord-316393-ozl28ztz 212 15 this this DT cord-316393-ozl28ztz 212 16 work work NN cord-316393-ozl28ztz 212 17 for for IN cord-316393-ozl28ztz 212 18 the the DT cord-316393-ozl28ztz 212 19 Spanish spanish JJ cord-316393-ozl28ztz 212 20 case case NN cord-316393-ozl28ztz 212 21 [ [ -LRB- cord-316393-ozl28ztz 212 22 25 25 CD cord-316393-ozl28ztz 212 23 ] ] -RRB- cord-316393-ozl28ztz 212 24 , , , cord-316393-ozl28ztz 212 25 which which WDT cord-316393-ozl28ztz 212 26 consist consist VBP cord-316393-ozl28ztz 212 27 of of IN cord-316393-ozl28ztz 212 28 a a DT cord-316393-ozl28ztz 212 29 lattice lattice NN cord-316393-ozl28ztz 212 30 of of IN cord-316393-ozl28ztz 212 31 cells cell NNS cord-316393-ozl28ztz 212 32 that that WDT cord-316393-ozl28ztz 212 33 can can MD cord-316393-ozl28ztz 212 34 be be VB cord-316393-ozl28ztz 212 35 in in IN cord-316393-ozl28ztz 212 36 four four CD cord-316393-ozl28ztz 212 37 different different JJ cord-316393-ozl28ztz 212 38 states state NNS cord-316393-ozl28ztz 212 39 : : : cord-316393-ozl28ztz 212 40 susceptible susceptible JJ cord-316393-ozl28ztz 212 41 , , , cord-316393-ozl28ztz 212 42 infected infected JJ cord-316393-ozl28ztz 212 43 , , , cord-316393-ozl28ztz 212 44 recovered recover VBN cord-316393-ozl28ztz 212 45 or or CC cord-316393-ozl28ztz 212 46 death death NN cord-316393-ozl28ztz 212 47 . . . cord-316393-ozl28ztz 213 1 An an DT cord-316393-ozl28ztz 213 2 infected infected JJ cord-316393-ozl28ztz 213 3 cell cell NN cord-316393-ozl28ztz 213 4 can can MD cord-316393-ozl28ztz 213 5 transmit transmit VB cord-316393-ozl28ztz 213 6 the the DT cord-316393-ozl28ztz 213 7 disease disease NN cord-316393-ozl28ztz 213 8 to to IN cord-316393-ozl28ztz 213 9 any any DT cord-316393-ozl28ztz 213 10 other other JJ cord-316393-ozl28ztz 213 11 susceptible susceptible JJ cord-316393-ozl28ztz 213 12 cell cell NN cord-316393-ozl28ztz 213 13 within within IN cord-316393-ozl28ztz 213 14 some some DT cord-316393-ozl28ztz 213 15 random random JJ cord-316393-ozl28ztz 213 16 range range NN cord-316393-ozl28ztz 214 1 R. R. NNP cord-316393-ozl28ztz 215 1 The the DT cord-316393-ozl28ztz 215 2 transmission transmission NN cord-316393-ozl28ztz 215 3 mechanism mechanism NN cord-316393-ozl28ztz 215 4 follows follow VBZ cord-316393-ozl28ztz 215 5 principles principle NNS cord-316393-ozl28ztz 215 6 of of IN cord-316393-ozl28ztz 215 7 nuclear nuclear JJ cord-316393-ozl28ztz 215 8 physics physics NN cord-316393-ozl28ztz 215 9 for for IN cord-316393-ozl28ztz 215 10 the the DT cord-316393-ozl28ztz 215 11 interaction interaction NN cord-316393-ozl28ztz 215 12 of of IN cord-316393-ozl28ztz 215 13 a a DT cord-316393-ozl28ztz 215 14 particle particle NN cord-316393-ozl28ztz 215 15 with with IN cord-316393-ozl28ztz 215 16 a a DT cord-316393-ozl28ztz 215 17 target target NN cord-316393-ozl28ztz 215 18 . . . cord-316393-ozl28ztz 216 1 Each each DT cord-316393-ozl28ztz 216 2 infected infected JJ cord-316393-ozl28ztz 216 3 particle particle NN cord-316393-ozl28ztz 216 4 interacts interact VBZ cord-316393-ozl28ztz 216 5 a a DT cord-316393-ozl28ztz 216 6 number number NN cord-316393-ozl28ztz 216 7 n n NN cord-316393-ozl28ztz 216 8 of of IN cord-316393-ozl28ztz 216 9 times time NNS cord-316393-ozl28ztz 216 10 over over IN cord-316393-ozl28ztz 216 11 the the DT cord-316393-ozl28ztz 216 12 interaction interaction NN cord-316393-ozl28ztz 216 13 region region NN cord-316393-ozl28ztz 216 14 , , , cord-316393-ozl28ztz 216 15 according accord VBG cord-316393-ozl28ztz 216 16 to to IN cord-316393-ozl28ztz 216 17 its -PRON- PRP$ cord-316393-ozl28ztz 216 18 energy energy NN cord-316393-ozl28ztz 216 19 . . . cord-316393-ozl28ztz 217 1 The the DT cord-316393-ozl28ztz 217 2 number number NN cord-316393-ozl28ztz 217 3 of of IN cord-316393-ozl28ztz 217 4 interactions interaction NNS cord-316393-ozl28ztz 217 5 is be VBZ cord-316393-ozl28ztz 217 6 proportional proportional JJ cord-316393-ozl28ztz 217 7 to to IN cord-316393-ozl28ztz 217 8 the the DT cord-316393-ozl28ztz 217 9 interaction interaction NN cord-316393-ozl28ztz 217 10 cross cross NNP cord-316393-ozl28ztz 217 11 section section NN cord-316393-ozl28ztz 217 12 σ σ NNP cord-316393-ozl28ztz 217 13 and and CC cord-316393-ozl28ztz 217 14 to to IN cord-316393-ozl28ztz 217 15 the the DT cord-316393-ozl28ztz 217 16 target target NN cord-316393-ozl28ztz 217 17 surface surface NN cord-316393-ozl28ztz 217 18 density density NN cord-316393-ozl28ztz 217 19 ρ ρ NNP cord-316393-ozl28ztz 217 20 . . . cord-316393-ozl28ztz 218 1 The the DT cord-316393-ozl28ztz 218 2 discrete discrete JJ cord-316393-ozl28ztz 218 3 energy energy NN cord-316393-ozl28ztz 218 4 follows follow VBZ cord-316393-ozl28ztz 218 5 a a DT cord-316393-ozl28ztz 218 6 Planck Planck NNP cord-316393-ozl28ztz 218 7 distribution distribution NN cord-316393-ozl28ztz 218 8 law law NN cord-316393-ozl28ztz 218 9 depending depend VBG cord-316393-ozl28ztz 218 10 on on IN cord-316393-ozl28ztz 218 11 the the DT cord-316393-ozl28ztz 218 12 ' ' `` cord-316393-ozl28ztz 218 13 temperature temperature NN cord-316393-ozl28ztz 218 14 ' ' '' cord-316393-ozl28ztz 218 15 of of IN cord-316393-ozl28ztz 218 16 the the DT cord-316393-ozl28ztz 218 17 system system NN cord-316393-ozl28ztz 218 18 . . . cord-316393-ozl28ztz 219 1 For for IN cord-316393-ozl28ztz 219 2 any any DT cord-316393-ozl28ztz 219 3 interaction interaction NN cord-316393-ozl28ztz 219 4 , , , cord-316393-ozl28ztz 219 5 an an DT cord-316393-ozl28ztz 219 6 infection infection NN cord-316393-ozl28ztz 219 7 probability probability NN cord-316393-ozl28ztz 219 8 is be VBZ cord-316393-ozl28ztz 219 9 applied apply VBN cord-316393-ozl28ztz 219 10 . . . cord-316393-ozl28ztz 220 1 Finally finally RB cord-316393-ozl28ztz 220 2 , , , cord-316393-ozl28ztz 220 3 time time NN cord-316393-ozl28ztz 220 4 - - HYPH cord-316393-ozl28ztz 220 5 dependent dependent JJ cord-316393-ozl28ztz 220 6 recovery recovery NN cord-316393-ozl28ztz 220 7 and and CC cord-316393-ozl28ztz 220 8 death death NN cord-316393-ozl28ztz 220 9 probabilities probability NNS cord-316393-ozl28ztz 220 10 are be VBP cord-316393-ozl28ztz 220 11 also also RB cord-316393-ozl28ztz 220 12 applied apply VBN cord-316393-ozl28ztz 220 13 . . . cord-316393-ozl28ztz 221 1 The the DT cord-316393-ozl28ztz 221 2 resulting result VBG cord-316393-ozl28ztz 221 3 virus virus NN cord-316393-ozl28ztz 221 4 spread spread VBD cord-316393-ozl28ztz 221 5 for for IN cord-316393-ozl28ztz 221 6 different different JJ cord-316393-ozl28ztz 221 7 sets set NNS cord-316393-ozl28ztz 221 8 of of IN cord-316393-ozl28ztz 221 9 parameters parameter NNS cord-316393-ozl28ztz 221 10 can can MD cord-316393-ozl28ztz 221 11 be be VB cord-316393-ozl28ztz 221 12 adjusted adjust VBN cord-316393-ozl28ztz 221 13 from from IN cord-316393-ozl28ztz 221 14 COVID-19 COVID-19 NNP cord-316393-ozl28ztz 221 15 pandemic pandemic NNP cord-316393-ozl28ztz 221 16 data datum NNS cord-316393-ozl28ztz 221 17 . . . cord-316393-ozl28ztz 222 1 In in IN cord-316393-ozl28ztz 222 2 addition addition NN cord-316393-ozl28ztz 222 3 , , , cord-316393-ozl28ztz 222 4 parameters parameter NNS cord-316393-ozl28ztz 222 5 can can MD cord-316393-ozl28ztz 222 6 be be VB cord-316393-ozl28ztz 222 7 made make VBN cord-316393-ozl28ztz 222 8 time time NN cord-316393-ozl28ztz 222 9 dependent dependent JJ cord-316393-ozl28ztz 222 10 in in IN cord-316393-ozl28ztz 222 11 order order NN cord-316393-ozl28ztz 222 12 to to TO cord-316393-ozl28ztz 222 13 investigate investigate VB cord-316393-ozl28ztz 222 14 , , , cord-316393-ozl28ztz 222 15 for for IN cord-316393-ozl28ztz 222 16 instance instance NN cord-316393-ozl28ztz 222 17 , , , cord-316393-ozl28ztz 222 18 the the DT cord-316393-ozl28ztz 222 19 effect effect NN cord-316393-ozl28ztz 222 20 of of IN cord-316393-ozl28ztz 222 21 an an DT cord-316393-ozl28ztz 222 22 early early JJ cord-316393-ozl28ztz 222 23 lockdown lockdown NN cord-316393-ozl28ztz 222 24 or or CC cord-316393-ozl28ztz 222 25 large large JJ cord-316393-ozl28ztz 222 26 mass mass JJ cord-316393-ozl28ztz 222 27 gatherings gathering NNS cord-316393-ozl28ztz 222 28 at at IN cord-316393-ozl28ztz 222 29 the the DT cord-316393-ozl28ztz 222 30 rise rise NN cord-316393-ozl28ztz 222 31 of of IN cord-316393-ozl28ztz 222 32 the the DT cord-316393-ozl28ztz 222 33 pandemic pandemic NN cord-316393-ozl28ztz 222 34 . . . cord-316393-ozl28ztz 223 1 As as IN cord-316393-ozl28ztz 223 2 shown show VBN cord-316393-ozl28ztz 223 3 in in IN cord-316393-ozl28ztz 223 4 Fig Fig NNP cord-316393-ozl28ztz 223 5 . . NNP cord-316393-ozl28ztz 223 6 13 13 CD cord-316393-ozl28ztz 223 7 , , , cord-316393-ozl28ztz 223 8 our -PRON- PRP$ cord-316393-ozl28ztz 223 9 MC MC NNP cord-316393-ozl28ztz 223 10 simulations simulation NNS cord-316393-ozl28ztz 223 11 present present VBP cord-316393-ozl28ztz 223 12 similar similar JJ cord-316393-ozl28ztz 223 13 results result NNS cord-316393-ozl28ztz 223 14 to to IN cord-316393-ozl28ztz 223 15 the the DT cord-316393-ozl28ztz 223 16 D D NNP cord-316393-ozl28ztz 223 17 2 2 CD cord-316393-ozl28ztz 223 18 model model NN cord-316393-ozl28ztz 223 19 , , , cord-316393-ozl28ztz 223 20 which which WDT cord-316393-ozl28ztz 223 21 validates validate VBZ cord-316393-ozl28ztz 223 22 the the DT cord-316393-ozl28ztz 223 23 use use NN cord-316393-ozl28ztz 223 24 of of IN cord-316393-ozl28ztz 223 25 the the DT cord-316393-ozl28ztz 223 26 simple simple JJ cord-316393-ozl28ztz 223 27 D d NN cord-316393-ozl28ztz 223 28 - - HYPH cord-316393-ozl28ztz 223 29 model model NN cord-316393-ozl28ztz 223 30 as as IN cord-316393-ozl28ztz 223 31 a a DT cord-316393-ozl28ztz 223 32 first first JJ cord-316393-ozl28ztz 223 33 - - HYPH cord-316393-ozl28ztz 223 34 order order NN cord-316393-ozl28ztz 223 35 approximation approximation NN cord-316393-ozl28ztz 223 36 . . . cord-316393-ozl28ztz 224 1 More More JJR cord-316393-ozl28ztz 224 2 details detail NNS cord-316393-ozl28ztz 224 3 on on IN cord-316393-ozl28ztz 224 4 the the DT cord-316393-ozl28ztz 224 5 MC MC NNP cord-316393-ozl28ztz 224 6 simulation simulation NN cord-316393-ozl28ztz 224 7 will will MD cord-316393-ozl28ztz 224 8 be be VB cord-316393-ozl28ztz 224 9 presented present VBN cord-316393-ozl28ztz 224 10 in in IN cord-316393-ozl28ztz 224 11 a a DT cord-316393-ozl28ztz 224 12 separate separate JJ cord-316393-ozl28ztz 224 13 manuscript manuscript NN cord-316393-ozl28ztz 224 14 [ [ -LRB- cord-316393-ozl28ztz 224 15 25 25 CD cord-316393-ozl28ztz 224 16 ] ] -RRB- cord-316393-ozl28ztz 224 17 . . . cord-316393-ozl28ztz 225 1 Interestingly interestingly RB cord-316393-ozl28ztz 225 2 , , , cord-316393-ozl28ztz 225 3 MC MC NNP cord-316393-ozl28ztz 225 4 simulations simulation NNS cord-316393-ozl28ztz 225 5 follow follow VBP cord-316393-ozl28ztz 225 6 the the DT cord-316393-ozl28ztz 225 7 data data NN cord-316393-ozl28ztz 225 8 trend trend NN cord-316393-ozl28ztz 225 9 up up IN cord-316393-ozl28ztz 225 10 to to IN cord-316393-ozl28ztz 225 11 May May NNP cord-316393-ozl28ztz 225 12 11 11 CD cord-316393-ozl28ztz 225 13 without without IN cord-316393-ozl28ztz 225 14 any any DT cord-316393-ozl28ztz 225 15 changes change NNS cord-316393-ozl28ztz 225 16 in in IN cord-316393-ozl28ztz 225 17 the the DT cord-316393-ozl28ztz 225 18 parameters parameter NNS cord-316393-ozl28ztz 225 19 for for IN cord-316393-ozl28ztz 225 20 nearly nearly RB cord-316393-ozl28ztz 225 21 two two CD cord-316393-ozl28ztz 225 22 weeks week NNS cord-316393-ozl28ztz 225 23 . . . cord-316393-ozl28ztz 226 1 An an DT cord-316393-ozl28ztz 226 2 app app NN cord-316393-ozl28ztz 226 3 for for IN cord-316393-ozl28ztz 226 4 Android Android NNP cord-316393-ozl28ztz 226 5 devices device NNS cord-316393-ozl28ztz 226 6 , , , cord-316393-ozl28ztz 226 7 where where WRB cord-316393-ozl28ztz 226 8 the the DT cord-316393-ozl28ztz 226 9 Monte Monte NNP cord-316393-ozl28ztz 226 10 Carlo Carlo NNP cord-316393-ozl28ztz 226 11 Planck Planck NNP cord-316393-ozl28ztz 226 12 model model NN cord-316393-ozl28ztz 226 13 has have VBZ cord-316393-ozl28ztz 226 14 been be VBN cord-316393-ozl28ztz 226 15 implemented implement VBN cord-316393-ozl28ztz 226 16 to to TO cord-316393-ozl28ztz 226 17 visualize visualize VB cord-316393-ozl28ztz 226 18 the the DT cord-316393-ozl28ztz 226 19 simulation simulation NN cord-316393-ozl28ztz 226 20 is be VBZ cord-316393-ozl28ztz 226 21 available available JJ cord-316393-ozl28ztz 226 22 from from IN cord-316393-ozl28ztz 226 23 Ref Ref NNP cord-316393-ozl28ztz 226 24 . . . cord-316393-ozl28ztz 227 1 [ [ -LRB- cord-316393-ozl28ztz 227 2 26 26 CD cord-316393-ozl28ztz 227 3 ] ] -RRB- cord-316393-ozl28ztz 227 4 . . . cord-316393-ozl28ztz 228 1 In in IN cord-316393-ozl28ztz 228 2 order order NN cord-316393-ozl28ztz 228 3 to to TO cord-316393-ozl28ztz 228 4 investigate investigate VB cord-316393-ozl28ztz 228 5 the the DT cord-316393-ozl28ztz 228 6 universality universality NN cord-316393-ozl28ztz 228 7 of of IN cord-316393-ozl28ztz 228 8 the the DT cord-316393-ozl28ztz 228 9 pandemic pandemic NN cord-316393-ozl28ztz 228 10 , , , cord-316393-ozl28ztz 228 11 it -PRON- PRP cord-316393-ozl28ztz 228 12 is be VBZ cord-316393-ozl28ztz 228 13 interesting interesting JJ cord-316393-ozl28ztz 228 14 to to TO cord-316393-ozl28ztz 228 15 compare compare VB cord-316393-ozl28ztz 228 16 all all DT cord-316393-ozl28ztz 228 17 countries country NNS cord-316393-ozl28ztz 228 18 by by IN cord-316393-ozl28ztz 228 19 plotting plot VBG cord-316393-ozl28ztz 228 20 the the DT cord-316393-ozl28ztz 228 21 D d NN cord-316393-ozl28ztz 228 22 model model NN cord-316393-ozl28ztz 228 23 in in IN cord-316393-ozl28ztz 228 24 terms term NNS cord-316393-ozl28ztz 228 25 of of IN cord-316393-ozl28ztz 228 26 the the DT cord-316393-ozl28ztz 228 27 variable variable NN cord-316393-ozl28ztz 228 28 ( ( -LRB- cord-316393-ozl28ztz 228 29 t t NN cord-316393-ozl28ztz 228 30 − − NN cord-316393-ozl28ztz 228 31 t t NN cord-316393-ozl28ztz 228 32 0 0 CD cord-316393-ozl28ztz 228 33 ) ) -RRB- cord-316393-ozl28ztz 228 34 /b /b NNP cord-316393-ozl28ztz 228 35 , , , cord-316393-ozl28ztz 228 36 where where WRB cord-316393-ozl28ztz 228 37 t t NN cord-316393-ozl28ztz 228 38 0 0 CD cord-316393-ozl28ztz 228 39 is be VBZ cord-316393-ozl28ztz 228 40 the the DT cord-316393-ozl28ztz 228 41 maximum maximum NN cord-316393-ozl28ztz 228 42 of of IN cord-316393-ozl28ztz 228 43 the the DT cord-316393-ozl28ztz 228 44 daily daily JJ cord-316393-ozl28ztz 228 45 curve curve NN cord-316393-ozl28ztz 228 46 given give VBN cord-316393-ozl28ztz 228 47 by by IN cord-316393-ozl28ztz 228 48 t t NNP cord-316393-ozl28ztz 228 49 max max NN cord-316393-ozl28ztz 228 50 = = SYM cord-316393-ozl28ztz 228 51 −b −b NNP cord-316393-ozl28ztz 228 52 n(c n(c NNP cord-316393-ozl28ztz 228 53 ) ) -RRB- cord-316393-ozl28ztz 228 54 . . . cord-316393-ozl28ztz 229 1 By by IN cord-316393-ozl28ztz 229 2 shifting shift VBG cord-316393-ozl28ztz 229 3 Eq Eq NNP cord-316393-ozl28ztz 229 4 . . . cord-316393-ozl28ztz 230 1 10 10 CD cord-316393-ozl28ztz 230 2 by by IN cord-316393-ozl28ztz 230 3 t t NNP cord-316393-ozl28ztz 230 4 max max NNP cord-316393-ozl28ztz 230 5 = = SYM cord-316393-ozl28ztz 230 6 −b −b NNP cord-316393-ozl28ztz 230 7 n(c n(c NNP cord-316393-ozl28ztz 230 8 ) ) -RRB- cord-316393-ozl28ztz 230 9 and and CC cord-316393-ozl28ztz 230 10 dividing divide VBG cord-316393-ozl28ztz 230 11 by by IN cord-316393-ozl28ztz 230 12 t t NNP cord-316393-ozl28ztz 230 13 max max NN cord-316393-ozl28ztz 230 14 = = NNP cord-316393-ozl28ztz 231 1 a a LS cord-316393-ozl28ztz 231 2 / / SYM cord-316393-ozl28ztz 231 3 c c NN cord-316393-ozl28ztz 231 4 , , , cord-316393-ozl28ztz 231 5 the the DT cord-316393-ozl28ztz 231 6 normalized normalized JJ cord-316393-ozl28ztz 231 7 D d NN cord-316393-ozl28ztz 231 8 function function NN cord-316393-ozl28ztz 231 9 is be VBZ cord-316393-ozl28ztz 231 10 given give VBN cord-316393-ozl28ztz 231 11 by by IN cord-316393-ozl28ztz 231 12 , , . cord-316393-ozl28ztz 232 1 The the DT cord-316393-ozl28ztz 232 2 left left NN cord-316393-ozl28ztz 232 3 of of IN cord-316393-ozl28ztz 232 4 Fig Fig NNP cord-316393-ozl28ztz 232 5 . . . cord-316393-ozl28ztz 233 1 14 14 CD cord-316393-ozl28ztz 233 2 shows show VBZ cord-316393-ozl28ztz 233 3 similar similar JJ cord-316393-ozl28ztz 233 4 trends trend NNS cord-316393-ozl28ztz 233 5 for for IN cord-316393-ozl28ztz 233 6 the the DT cord-316393-ozl28ztz 233 7 normalized normalized JJ cord-316393-ozl28ztz 233 8 D d NN cord-316393-ozl28ztz 233 9 curves curve NNS cord-316393-ozl28ztz 233 10 of of IN cord-316393-ozl28ztz 233 11 different different JJ cord-316393-ozl28ztz 233 12 countries country NNS cord-316393-ozl28ztz 233 13 , , , cord-316393-ozl28ztz 233 14 which which WDT cord-316393-ozl28ztz 233 15 suggests suggest VBZ cord-316393-ozl28ztz 233 16 a a DT cord-316393-ozl28ztz 233 17 universal universal JJ cord-316393-ozl28ztz 233 18 behavior behavior NN cord-316393-ozl28ztz 233 19 of of IN cord-316393-ozl28ztz 233 20 the the DT cord-316393-ozl28ztz 233 21 COVID-19 COVID-19 NNP cord-316393-ozl28ztz 233 22 pandemic pandemic NN cord-316393-ozl28ztz 233 23 . . . cord-316393-ozl28ztz 234 1 Only only RB cord-316393-ozl28ztz 234 2 Iran Iran NNP cord-316393-ozl28ztz 234 3 seems seem VBZ cord-316393-ozl28ztz 234 4 to to TO cord-316393-ozl28ztz 234 5 slightly slightly RB cord-316393-ozl28ztz 234 6 deviate deviate VB cord-316393-ozl28ztz 234 7 from from IN cord-316393-ozl28ztz 234 8 the the DT cord-316393-ozl28ztz 234 9 global global JJ cord-316393-ozl28ztz 234 10 trend trend NN cord-316393-ozl28ztz 234 11 , , , cord-316393-ozl28ztz 234 12 which which WDT cord-316393-ozl28ztz 234 13 may may MD cord-316393-ozl28ztz 234 14 indicate indicate VB cord-316393-ozl28ztz 234 15 an an DT cord-316393-ozl28ztz 234 16 early early JJ cord-316393-ozl28ztz 234 17 and and CC cord-316393-ozl28ztz 234 18 more more RBR cord-316393-ozl28ztz 234 19 effective effective JJ cord-316393-ozl28ztz 234 20 initial initial JJ cord-316393-ozl28ztz 234 21 lockdown lockdown NN cord-316393-ozl28ztz 234 22 . . . cord-316393-ozl28ztz 235 1 A a DT cord-316393-ozl28ztz 235 2 similar similar JJ cord-316393-ozl28ztz 235 3 approach approach NN cord-316393-ozl28ztz 235 4 can can MD cord-316393-ozl28ztz 235 5 be be VB cord-316393-ozl28ztz 235 6 done do VBN cord-316393-ozl28ztz 235 7 for for IN cord-316393-ozl28ztz 235 8 the the DT cord-316393-ozl28ztz 235 9 daily daily JJ cord-316393-ozl28ztz 235 10 data datum NNS cord-316393-ozl28ztz 235 11 using use VBG cord-316393-ozl28ztz 235 12 the the DT cord-316393-ozl28ztz 235 13 D D NNP cord-316393-ozl28ztz 235 14 and and CC cord-316393-ozl28ztz 235 15 ESIR2 esir2 NN cord-316393-ozl28ztz 235 16 models model NNS cord-316393-ozl28ztz 235 17 , , , cord-316393-ozl28ztz 235 18 as as IN cord-316393-ozl28ztz 235 19 shown show VBN cord-316393-ozl28ztz 235 20 in in IN cord-316393-ozl28ztz 235 21 the the DT cord-316393-ozl28ztz 235 22 middle middle JJ cord-316393-ozl28ztz 235 23 and and CC cord-316393-ozl28ztz 235 24 right right JJ cord-316393-ozl28ztz 235 25 panels panel NNS cord-316393-ozl28ztz 235 26 of of IN cord-316393-ozl28ztz 235 27 Fig Fig NNP cord-316393-ozl28ztz 235 28 . . . cord-316393-ozl28ztz 236 1 14 14 CD cord-316393-ozl28ztz 236 2 , , , cord-316393-ozl28ztz 236 3 respectively respectively RB cord-316393-ozl28ztz 236 4 . . . cord-316393-ozl28ztz 237 1 Although although IN cord-316393-ozl28ztz 237 2 different different JJ cord-316393-ozl28ztz 237 3 countries country NNS cord-316393-ozl28ztz 237 4 show show VBP cord-316393-ozl28ztz 237 5 similar similar JJ cord-316393-ozl28ztz 237 6 trends trend NNS cord-316393-ozl28ztz 237 7 , , , cord-316393-ozl28ztz 237 8 statistical statistical JJ cord-316393-ozl28ztz 237 9 fluctuations fluctuation NNS cord-316393-ozl28ztz 237 10 in in IN cord-316393-ozl28ztz 237 11 the the DT cord-316393-ozl28ztz 237 12 daily daily JJ cord-316393-ozl28ztz 237 13 data datum NNS cord-316393-ozl28ztz 237 14 do do VBP cord-316393-ozl28ztz 237 15 not not RB cord-316393-ozl28ztz 237 16 result result VB cord-316393-ozl28ztz 237 17 in in IN cord-316393-ozl28ztz 237 18 a a DT cord-316393-ozl28ztz 237 19 nice nice JJ cord-316393-ozl28ztz 237 20 universal universal JJ cord-316393-ozl28ztz 237 21 behavior behavior NN cord-316393-ozl28ztz 237 22 as as IN cord-316393-ozl28ztz 237 23 compared compare VBN cord-316393-ozl28ztz 237 24 with with IN cord-316393-ozl28ztz 237 25 D d JJ cord-316393-ozl28ztz 237 26 norm norm NN cord-316393-ozl28ztz 237 27 . . . cord-316393-ozl28ztz 238 1 However however RB cord-316393-ozl28ztz 238 2 , , , cord-316393-ozl28ztz 238 3 the the DT cord-316393-ozl28ztz 238 4 D D NNP cord-316393-ozl28ztz 238 5 and and CC cord-316393-ozl28ztz 238 6 ESIR2 esir2 NN cord-316393-ozl28ztz 238 7 plots plot NNS cord-316393-ozl28ztz 238 8 show show VBP cord-316393-ozl28ztz 238 9 that that IN cord-316393-ozl28ztz 238 10 an an DT cord-316393-ozl28ztz 238 11 effective effective JJ cord-316393-ozl28ztz 238 12 lockdown lockdown NN cord-316393-ozl28ztz 238 13 is be VBZ cord-316393-ozl28ztz 238 14 characterized characterize VBN cord-316393-ozl28ztz 238 15 by by IN cord-316393-ozl28ztz 238 16 flatter flat JJR cord-316393-ozl28ztz 238 17 and and CC cord-316393-ozl28ztz 238 18 broader broad JJR cord-316393-ozl28ztz 238 19 peaks peak NNS cord-316393-ozl28ztz 238 20 , , , cord-316393-ozl28ztz 238 21 best well RBS cord-316393-ozl28ztz 238 22 characterized characterize VBD cord-316393-ozl28ztz 238 23 the the DT cord-316393-ozl28ztz 238 24 Iranian iranian JJ cord-316393-ozl28ztz 238 25 case case NN cord-316393-ozl28ztz 238 26 , , , cord-316393-ozl28ztz 238 27 whereas whereas IN cord-316393-ozl28ztz 238 28 Spain Spain NNP cord-316393-ozl28ztz 238 29 and and CC cord-316393-ozl28ztz 238 30 Germany Germany NNP cord-316393-ozl28ztz 238 31 present present VBP cord-316393-ozl28ztz 238 32 the the DT cord-316393-ozl28ztz 238 33 sharper sharp JJR cord-316393-ozl28ztz 238 34 peaks peak NNS cord-316393-ozl28ztz 238 35 . . . cord-316393-ozl28ztz 239 1 The the DT cord-316393-ozl28ztz 239 2 global global JJ cord-316393-ozl28ztz 239 3 models model NNS cord-316393-ozl28ztz 239 4 considered consider VBN cord-316393-ozl28ztz 239 5 in in IN cord-316393-ozl28ztz 239 6 this this DT cord-316393-ozl28ztz 239 7 work work NN cord-316393-ozl28ztz 239 8 present present VBP cord-316393-ozl28ztz 239 9 some some DT cord-316393-ozl28ztz 239 10 differences difference NNS cord-316393-ozl28ztz 239 11 with with IN cord-316393-ozl28ztz 239 12 respect respect NN cord-316393-ozl28ztz 239 13 to to IN cord-316393-ozl28ztz 239 14 other other JJ cord-316393-ozl28ztz 239 15 existing exist VBG cord-316393-ozl28ztz 239 16 models model NNS cord-316393-ozl28ztz 239 17 . . . cord-316393-ozl28ztz 240 1 First first RB cord-316393-ozl28ztz 240 2 , , , cord-316393-ozl28ztz 240 3 in in IN cord-316393-ozl28ztz 240 4 this this DT cord-316393-ozl28ztz 240 5 work work NN cord-316393-ozl28ztz 240 6 we -PRON- PRP cord-316393-ozl28ztz 240 7 have have VBP cord-316393-ozl28ztz 240 8 tried try VBN cord-316393-ozl28ztz 240 9 to to TO cord-316393-ozl28ztz 240 10 keep keep VB cord-316393-ozl28ztz 240 11 the the DT cord-316393-ozl28ztz 240 12 models model NNS cord-316393-ozl28ztz 240 13 as as RB cord-316393-ozl28ztz 240 14 simple simple JJ cord-316393-ozl28ztz 240 15 as as IN cord-316393-ozl28ztz 240 16 possible possible JJ cord-316393-ozl28ztz 240 17 . . . cord-316393-ozl28ztz 241 1 This this DT cord-316393-ozl28ztz 241 2 allows allow VBZ cord-316393-ozl28ztz 241 3 to to TO cord-316393-ozl28ztz 241 4 use use VB cord-316393-ozl28ztz 241 5 theoreticalinspired theoreticalinspired JJ cord-316393-ozl28ztz 241 6 analytical analytical JJ cord-316393-ozl28ztz 241 7 expressions expression NNS cord-316393-ozl28ztz 241 8 or or CC cord-316393-ozl28ztz 241 9 semi semi JJ cord-316393-ozl28ztz 241 10 - - JJ cord-316393-ozl28ztz 241 11 empirical empirical JJ cord-316393-ozl28ztz 241 12 formulae formula NNS cord-316393-ozl28ztz 241 13 to to TO cord-316393-ozl28ztz 241 14 perform perform VB cord-316393-ozl28ztz 241 15 the the DT cord-316393-ozl28ztz 241 16 data data NN cord-316393-ozl28ztz 241 17 analysis analysis NN cord-316393-ozl28ztz 241 18 . . . cord-316393-ozl28ztz 242 1 The the DT cord-316393-ozl28ztz 242 2 use use NN cord-316393-ozl28ztz 242 3 of of IN cord-316393-ozl28ztz 242 4 semiempirical semiempirical JJ cord-316393-ozl28ztz 242 5 expressions expression NNS cord-316393-ozl28ztz 242 6 for for IN cord-316393-ozl28ztz 242 7 describing describe VBG cord-316393-ozl28ztz 242 8 physical physical JJ cord-316393-ozl28ztz 242 9 phenomena phenomenon NNS cord-316393-ozl28ztz 242 10 is be VBZ cord-316393-ozl28ztz 242 11 recurrent recurrent JJ cord-316393-ozl28ztz 242 12 in in IN cord-316393-ozl28ztz 242 13 physics physics NN cord-316393-ozl28ztz 242 14 . . . cord-316393-ozl28ztz 243 1 One one CD cord-316393-ozl28ztz 243 2 of of IN cord-316393-ozl28ztz 243 3 the the DT cord-316393-ozl28ztz 243 4 most most RBS cord-316393-ozl28ztz 243 5 famous famous JJ cord-316393-ozl28ztz 243 6 is be VBZ cord-316393-ozl28ztz 243 7 the the DT cord-316393-ozl28ztz 243 8 semi semi JJ cord-316393-ozl28ztz 243 9 - - JJ cord-316393-ozl28ztz 243 10 empirical empirical JJ cord-316393-ozl28ztz 243 11 mass mass NN cord-316393-ozl28ztz 243 12 formula formula NN cord-316393-ozl28ztz 243 13 from from IN cord-316393-ozl28ztz 243 14 nuclear nuclear JJ cord-316393-ozl28ztz 243 15 physics physics NN cord-316393-ozl28ztz 243 16 . . . cord-316393-ozl28ztz 244 1 Of of RB cord-316393-ozl28ztz 244 2 course course RB cord-316393-ozl28ztz 244 3 the the DT cord-316393-ozl28ztz 244 4 free free JJ cord-316393-ozl28ztz 244 5 parameters parameter NNS cord-316393-ozl28ztz 244 6 need need VBP cord-316393-ozl28ztz 244 7 to to TO cord-316393-ozl28ztz 244 8 be be VB cord-316393-ozl28ztz 244 9 fitted fit VBN cord-316393-ozl28ztz 244 10 from from IN cord-316393-ozl28ztz 244 11 known know VBN cord-316393-ozl28ztz 244 12 data datum NNS cord-316393-ozl28ztz 244 13 , , , cord-316393-ozl28ztz 244 14 but but CC cord-316393-ozl28ztz 244 15 this this DT cord-316393-ozl28ztz 244 16 allowed allow VBD cord-316393-ozl28ztz 244 17 to to TO cord-316393-ozl28ztz 244 18 obtain obtain VB cord-316393-ozl28ztz 244 19 predictions prediction NNS cord-316393-ozl28ztz 244 20 for for IN cord-316393-ozl28ztz 244 21 unknown unknown JJ cord-316393-ozl28ztz 244 22 elements element NNS cord-316393-ozl28ztz 244 23 . . . cord-316393-ozl28ztz 245 1 In in IN cord-316393-ozl28ztz 245 2 our -PRON- PRP$ cord-316393-ozl28ztz 245 3 case case NN cord-316393-ozl28ztz 245 4 we -PRON- PRP cord-316393-ozl28ztz 245 5 were be VBD cord-316393-ozl28ztz 245 6 inspired inspire VBN cord-316393-ozl28ztz 245 7 by by IN cord-316393-ozl28ztz 245 8 the the DT cord-316393-ozl28ztz 245 9 well well RB cord-316393-ozl28ztz 245 10 known know VBN cord-316393-ozl28ztz 245 11 statistical statistical JJ cord-316393-ozl28ztz 245 12 SIR sir NN cord-316393-ozl28ztz 245 13 - - HYPH cord-316393-ozl28ztz 245 14 kind kind NN cord-316393-ozl28ztz 245 15 models model NNS cord-316393-ozl28ztz 245 16 slightly slightly RB cord-316393-ozl28ztz 245 17 modified modify VBN cord-316393-ozl28ztz 245 18 to to TO cord-316393-ozl28ztz 245 19 obtain obtain VB cord-316393-ozl28ztz 245 20 analytical analytical JJ cord-316393-ozl28ztz 245 21 expressions expression NNS cord-316393-ozl28ztz 245 22 that that WDT cord-316393-ozl28ztz 245 23 carry carry VBP cord-316393-ozl28ztz 245 24 the the DT cord-316393-ozl28ztz 245 25 leading leading JJ cord-316393-ozl28ztz 245 26 time time NN cord-316393-ozl28ztz 245 27 dependence dependence NN cord-316393-ozl28ztz 245 28 . . . cord-316393-ozl28ztz 246 1 We -PRON- PRP cord-316393-ozl28ztz 246 2 have have VBP cord-316393-ozl28ztz 246 3 found find VBN cord-316393-ozl28ztz 246 4 that that IN cord-316393-ozl28ztz 246 5 the the DT cord-316393-ozl28ztz 246 6 D d NN cord-316393-ozl28ztz 246 7 and and CC cord-316393-ozl28ztz 246 8 D D NNP cord-316393-ozl28ztz 246 9 2 2 CD cord-316393-ozl28ztz 246 10 models model NNS cord-316393-ozl28ztz 246 11 allow allow VBP cord-316393-ozl28ztz 246 12 a a DT cord-316393-ozl28ztz 246 13 fast fast JJ cord-316393-ozl28ztz 246 14 and and CC cord-316393-ozl28ztz 246 15 efficient efficient JJ cord-316393-ozl28ztz 246 16 analysis analysis NN cord-316393-ozl28ztz 246 17 of of IN cord-316393-ozl28ztz 246 18 the the DT cord-316393-ozl28ztz 246 19 pandemics pandemic NNS cord-316393-ozl28ztz 246 20 in in IN cord-316393-ozl28ztz 246 21 the the DT cord-316393-ozl28ztz 246 22 initial initial JJ cord-316393-ozl28ztz 246 23 and and CC cord-316393-ozl28ztz 246 24 advanced advanced JJ cord-316393-ozl28ztz 246 25 stages stage NNS cord-316393-ozl28ztz 246 26 . . . cord-316393-ozl28ztz 247 1 Our -PRON- PRP$ cord-316393-ozl28ztz 247 2 results result NNS cord-316393-ozl28ztz 247 3 show show VBP cord-316393-ozl28ztz 247 4 that that IN cord-316393-ozl28ztz 247 5 the the DT cord-316393-ozl28ztz 247 6 time time NN cord-316393-ozl28ztz 247 7 dependence dependence NN cord-316393-ozl28ztz 247 8 of of IN cord-316393-ozl28ztz 247 9 the the DT cord-316393-ozl28ztz 247 10 pandemic pandemic NN cord-316393-ozl28ztz 247 11 parameters parameter NNS cord-316393-ozl28ztz 247 12 due due JJ cord-316393-ozl28ztz 247 13 to to IN cord-316393-ozl28ztz 247 14 the the DT cord-316393-ozl28ztz 247 15 lockdown lockdown NN cord-316393-ozl28ztz 247 16 can can MD cord-316393-ozl28ztz 247 17 be be VB cord-316393-ozl28ztz 247 18 effectively effectively RB cord-316393-ozl28ztz 247 19 simulated simulate VBN cord-316393-ozl28ztz 247 20 by by IN cord-316393-ozl28ztz 247 21 the the DT cord-316393-ozl28ztz 247 22 sum sum NN cord-316393-ozl28ztz 247 23 of of IN cord-316393-ozl28ztz 247 24 two two CD cord-316393-ozl28ztz 247 25 Dfunctions dfunction NNS cord-316393-ozl28ztz 247 26 with with IN cord-316393-ozl28ztz 247 27 different different JJ cord-316393-ozl28ztz 247 28 widths width NNS cord-316393-ozl28ztz 247 29 and and CC cord-316393-ozl28ztz 247 30 heights height NNS cord-316393-ozl28ztz 247 31 and and CC cord-316393-ozl28ztz 247 32 centered center VBN cord-316393-ozl28ztz 247 33 at at IN cord-316393-ozl28ztz 247 34 different different JJ cord-316393-ozl28ztz 247 35 times time NNS cord-316393-ozl28ztz 247 36 . . . cord-316393-ozl28ztz 248 1 The the DT cord-316393-ozl28ztz 248 2 distance distance NN cord-316393-ozl28ztz 248 3 between between IN cord-316393-ozl28ztz 248 4 the the DT cord-316393-ozl28ztz 248 5 maxima maxima NN cord-316393-ozl28ztz 248 6 of of IN cord-316393-ozl28ztz 248 7 the the DT cord-316393-ozl28ztz 248 8 two two CD cord-316393-ozl28ztz 248 9 D d NN cord-316393-ozl28ztz 248 10 - - HYPH cord-316393-ozl28ztz 248 11 functions function NNS cord-316393-ozl28ztz 248 12 should should MD cord-316393-ozl28ztz 248 13 be be VB cord-316393-ozl28ztz 248 14 a a DT cord-316393-ozl28ztz 248 15 measure measure NN cord-316393-ozl28ztz 248 16 of of IN cord-316393-ozl28ztz 248 17 the the DT cord-316393-ozl28ztz 248 18 time time NN cord-316393-ozl28ztz 248 19 between between IN cord-316393-ozl28ztz 248 20 the the DT cord-316393-ozl28ztz 248 21 effective effective JJ cord-316393-ozl28ztz 248 22 pandemic pandemic NN cord-316393-ozl28ztz 248 23 beginning beginning NN cord-316393-ozl28ztz 248 24 and and CC cord-316393-ozl28ztz 248 25 lockdown lockdown NN cord-316393-ozl28ztz 248 26 . . . cord-316393-ozl28ztz 249 1 In in IN cord-316393-ozl28ztz 249 2 the the DT cord-316393-ozl28ztz 249 3 Spanish spanish JJ cord-316393-ozl28ztz 249 4 case case NN cord-316393-ozl28ztz 249 5 this this DT cord-316393-ozl28ztz 249 6 is be VBZ cord-316393-ozl28ztz 249 7 about about RB cord-316393-ozl28ztz 249 8 20 20 CD cord-316393-ozl28ztz 249 9 days day NNS cord-316393-ozl28ztz 249 10 . . . cord-316393-ozl28ztz 250 1 Taking take VBG cord-316393-ozl28ztz 250 2 into into IN cord-316393-ozl28ztz 250 3 account account NN cord-316393-ozl28ztz 250 4 that that DT cord-316393-ozl28ztz 250 5 lockdown lockdown NN cord-316393-ozl28ztz 250 6 started start VBD cord-316393-ozl28ztz 250 7 in in IN cord-316393-ozl28ztz 250 8 March March NNP cord-316393-ozl28ztz 250 9 14 14 CD cord-316393-ozl28ztz 250 10 , , , cord-316393-ozl28ztz 250 11 this this DT cord-316393-ozl28ztz 250 12 marks mark VBZ cord-316393-ozl28ztz 250 13 the the DT cord-316393-ozl28ztz 250 14 pandemic pandemic NN cord-316393-ozl28ztz 250 15 starting start VBG cord-316393-ozl28ztz 250 16 time time NN cord-316393-ozl28ztz 250 17 as as IN cord-316393-ozl28ztz 250 18 about about IN cord-316393-ozl28ztz 250 19 February February NNP cord-316393-ozl28ztz 250 20 22 22 CD cord-316393-ozl28ztz 250 21 . . . cord-316393-ozl28ztz 251 1 Had have VBD cord-316393-ozl28ztz 251 2 the the DT cord-316393-ozl28ztz 251 3 lockdown lockdown NN cord-316393-ozl28ztz 251 4 started start VBD cord-316393-ozl28ztz 251 5 on on IN cord-316393-ozl28ztz 251 6 that that DT cord-316393-ozl28ztz 251 7 date date NN cord-316393-ozl28ztz 251 8 , , , cord-316393-ozl28ztz 251 9 the the DT cord-316393-ozl28ztz 251 10 deaths death NNS cord-316393-ozl28ztz 251 11 would would MD cord-316393-ozl28ztz 251 12 had have VBD cord-316393-ozl28ztz 251 13 been be VBN cord-316393-ozl28ztz 251 14 highly highly RB cord-316393-ozl28ztz 251 15 reduced reduce VBN cord-316393-ozl28ztz 251 16 . . . cord-316393-ozl28ztz 252 1 The the DT cord-316393-ozl28ztz 252 2 smooth smooth JJ cord-316393-ozl28ztz 252 3 blending blending NN cord-316393-ozl28ztz 252 4 between between IN cord-316393-ozl28ztz 252 5 the the DT cord-316393-ozl28ztz 252 6 two two CD cord-316393-ozl28ztz 252 7 peaks peak NNS cord-316393-ozl28ztz 252 8 provides provide VBZ cord-316393-ozl28ztz 252 9 a a DT cord-316393-ozl28ztz 252 10 transition transition NN cord-316393-ozl28ztz 252 11 between between IN cord-316393-ozl28ztz 252 12 the the DT cord-316393-ozl28ztz 252 13 two two CD cord-316393-ozl28ztz 252 14 statistical statistical JJ cord-316393-ozl28ztz 252 15 regimes regime NNS cord-316393-ozl28ztz 252 16 ( ( -LRB- cord-316393-ozl28ztz 252 17 or or CC cord-316393-ozl28ztz 252 18 physical physical JJ cord-316393-ozl28ztz 252 19 phases phase NNS cord-316393-ozl28ztz 252 20 ) ) -RRB- cord-316393-ozl28ztz 252 21 with with IN cord-316393-ozl28ztz 252 22 and and CC cord-316393-ozl28ztz 252 23 without without IN cord-316393-ozl28ztz 252 24 lockdown lockdown NN cord-316393-ozl28ztz 252 25 . . . cord-316393-ozl28ztz 253 1 The the DT cord-316393-ozl28ztz 253 2 Monte Monte NNP cord-316393-ozl28ztz 253 3 Carlo Carlo NNP cord-316393-ozl28ztz 253 4 simulation simulation NN cord-316393-ozl28ztz 253 5 results result NNS cord-316393-ozl28ztz 253 6 are be VBP cord-316393-ozl28ztz 253 7 in in IN cord-316393-ozl28ztz 253 8 agreement agreement NN cord-316393-ozl28ztz 253 9 with with IN cord-316393-ozl28ztz 253 10 our -PRON- PRP$ cord-316393-ozl28ztz 253 11 previous previous JJ cord-316393-ozl28ztz 253 12 analysis analysis NN cord-316393-ozl28ztz 253 13 with with IN cord-316393-ozl28ztz 253 14 the the DT cord-316393-ozl28ztz 253 15 D d NN cord-316393-ozl28ztz 253 16 and and CC cord-316393-ozl28ztz 253 17 D D NNP cord-316393-ozl28ztz 253 18 2 2 CD cord-316393-ozl28ztz 253 19 models model NNS cord-316393-ozl28ztz 253 20 . . . cord-316393-ozl28ztz 254 1 The the DT cord-316393-ozl28ztz 254 2 Monte Monte NNP cord-316393-ozl28ztz 254 3 Carlo Carlo NNP cord-316393-ozl28ztz 254 4 generates generate VBZ cord-316393-ozl28ztz 254 5 events event NNS cord-316393-ozl28ztz 254 6 in in IN cord-316393-ozl28ztz 254 7 a a DT cord-316393-ozl28ztz 254 8 population population NN cord-316393-ozl28ztz 254 9 of of IN cord-316393-ozl28ztz 254 10 individuals individual NNS cord-316393-ozl28ztz 254 11 in in IN cord-316393-ozl28ztz 254 12 a a DT cord-316393-ozl28ztz 254 13 lattice lattice NN cord-316393-ozl28ztz 254 14 or or CC cord-316393-ozl28ztz 254 15 grid grid NN cord-316393-ozl28ztz 254 16 of of IN cord-316393-ozl28ztz 254 17 cells cell NNS cord-316393-ozl28ztz 254 18 . . . cord-316393-ozl28ztz 255 1 We -PRON- PRP cord-316393-ozl28ztz 255 2 simulate simulate VBP cord-316393-ozl28ztz 255 3 the the DT cord-316393-ozl28ztz 255 4 movement movement NN cord-316393-ozl28ztz 255 5 of of IN cord-316393-ozl28ztz 255 6 individuals individual NNS cord-316393-ozl28ztz 255 7 outside outside RB cord-316393-ozl28ztz 255 8 of of IN cord-316393-ozl28ztz 255 9 the the DT cord-316393-ozl28ztz 255 10 cells cell NNS cord-316393-ozl28ztz 255 11 and and CC cord-316393-ozl28ztz 255 12 interactions interaction NNS cord-316393-ozl28ztz 255 13 with with IN cord-316393-ozl28ztz 255 14 the the DT cord-316393-ozl28ztz 255 15 susceptible susceptible JJ cord-316393-ozl28ztz 255 16 individuals individual NNS cord-316393-ozl28ztz 255 17 within within IN cord-316393-ozl28ztz 255 18 a a DT cord-316393-ozl28ztz 255 19 finite finite JJ cord-316393-ozl28ztz 255 20 range range NN cord-316393-ozl28ztz 255 21 . . . cord-316393-ozl28ztz 256 1 The the DT cord-316393-ozl28ztz 256 2 randon randon JJ cord-316393-ozl28ztz 256 3 events event NNS cord-316393-ozl28ztz 256 4 follow follow VBP cord-316393-ozl28ztz 256 5 statistical statistical JJ cord-316393-ozl28ztz 256 6 distributions distribution NNS cord-316393-ozl28ztz 256 7 based base VBN cord-316393-ozl28ztz 256 8 on on IN cord-316393-ozl28ztz 256 9 the the DT cord-316393-ozl28ztz 256 10 exponential exponential JJ cord-316393-ozl28ztz 256 11 laws law NNS cord-316393-ozl28ztz 256 12 of of IN cord-316393-ozl28ztz 256 13 statistical statistical JJ cord-316393-ozl28ztz 256 14 mechanics mechanic NNS cord-316393-ozl28ztz 256 15 for for IN cord-316393-ozl28ztz 256 16 a a DT cord-316393-ozl28ztz 256 17 system system NN cord-316393-ozl28ztz 256 18 of of IN cord-316393-ozl28ztz 256 19 interacting interact VBG cord-316393-ozl28ztz 256 20 particles particle NNS cord-316393-ozl28ztz 256 21 , , , cord-316393-ozl28ztz 256 22 driven drive VBN cord-316393-ozl28ztz 256 23 by by IN cord-316393-ozl28ztz 256 24 macroscopic macroscopic JJ cord-316393-ozl28ztz 256 25 magnitudes magnitude NNS cord-316393-ozl28ztz 256 26 as as IN cord-316393-ozl28ztz 256 27 the the DT cord-316393-ozl28ztz 256 28 temperature temperature NN cord-316393-ozl28ztz 256 29 , , , cord-316393-ozl28ztz 256 30 and and CC cord-316393-ozl28ztz 256 31 interaction interaction NN cord-316393-ozl28ztz 256 32 probabilities probability NNS cord-316393-ozl28ztz 256 33 between between IN cord-316393-ozl28ztz 256 34 individuals individual NNS cord-316393-ozl28ztz 256 35 , , , cord-316393-ozl28ztz 256 36 that that WDT cord-316393-ozl28ztz 256 37 can can MD cord-316393-ozl28ztz 256 38 be be VB cord-316393-ozl28ztz 256 39 related relate VBN cord-316393-ozl28ztz 256 40 to to IN cord-316393-ozl28ztz 256 41 interaction interaction NN cord-316393-ozl28ztz 256 42 cross cross NN cord-316393-ozl28ztz 256 43 sections section NNS cord-316393-ozl28ztz 256 44 . . . cord-316393-ozl28ztz 257 1 The the DT cord-316393-ozl28ztz 257 2 Monte Monte NNP cord-316393-ozl28ztz 257 3 Carlo Carlo NNP cord-316393-ozl28ztz 257 4 simulation simulation NN cord-316393-ozl28ztz 257 5 spread spread VBD cord-316393-ozl28ztz 257 6 the the DT cord-316393-ozl28ztz 257 7 virus virus NN cord-316393-ozl28ztz 257 8 in in IN cord-316393-ozl28ztz 257 9 space space NN cord-316393-ozl28ztz 257 10 - - HYPH cord-316393-ozl28ztz 257 11 time time NN cord-316393-ozl28ztz 257 12 , , , cord-316393-ozl28ztz 257 13 and and CC cord-316393-ozl28ztz 257 14 allows allow VBZ cord-316393-ozl28ztz 257 15 also also RB cord-316393-ozl28ztz 257 16 space space NN cord-316393-ozl28ztz 257 17 - - HYPH cord-316393-ozl28ztz 257 18 time time NN cord-316393-ozl28ztz 257 19 dependence dependence NN cord-316393-ozl28ztz 257 20 on on IN cord-316393-ozl28ztz 257 21 the the DT cord-316393-ozl28ztz 257 22 parameters parameter NNS cord-316393-ozl28ztz 257 23 . . . cord-316393-ozl28ztz 258 1 In in IN cord-316393-ozl28ztz 258 2 this this DT cord-316393-ozl28ztz 258 3 work work NN cord-316393-ozl28ztz 258 4 we -PRON- PRP cord-316393-ozl28ztz 258 5 have have VBP cord-316393-ozl28ztz 258 6 made make VBN cord-316393-ozl28ztz 258 7 the the DT cord-316393-ozl28ztz 258 8 simplest simple JJS cord-316393-ozl28ztz 258 9 assumptions assumption NNS cord-316393-ozl28ztz 258 10 , , , cord-316393-ozl28ztz 258 11 only only RB cord-316393-ozl28ztz 258 12 allowing allow VBG cord-316393-ozl28ztz 258 13 for for IN cord-316393-ozl28ztz 258 14 a a DT cord-316393-ozl28ztz 258 15 lockdown lockdown NN cord-316393-ozl28ztz 258 16 effect effect NN cord-316393-ozl28ztz 258 17 by by IN cord-316393-ozl28ztz 258 18 reducing reduce VBG cord-316393-ozl28ztz 258 19 the the DT cord-316393-ozl28ztz 258 20 range range NN cord-316393-ozl28ztz 258 21 of of IN cord-316393-ozl28ztz 258 22 the the DT cord-316393-ozl28ztz 258 23 interaction interaction NN cord-316393-ozl28ztz 258 24 starting start VBG cord-316393-ozl28ztz 258 25 on on IN cord-316393-ozl28ztz 258 26 a a DT cord-316393-ozl28ztz 258 27 fixed fixed JJ cord-316393-ozl28ztz 258 28 day day NN cord-316393-ozl28ztz 258 29 . . . cord-316393-ozl28ztz 259 1 This this DT cord-316393-ozl28ztz 259 2 simple simple JJ cord-316393-ozl28ztz 259 3 modification modification NN cord-316393-ozl28ztz 259 4 allowed allow VBN cord-316393-ozl28ztz 259 5 to to TO cord-316393-ozl28ztz 259 6 reproduce reproduce VB cord-316393-ozl28ztz 259 7 nicely nicely RB cord-316393-ozl28ztz 259 8 the the DT cord-316393-ozl28ztz 259 9 Spanish spanish JJ cord-316393-ozl28ztz 259 10 death death NN cord-316393-ozl28ztz 259 11 - - HYPH cord-316393-ozl28ztz 259 12 per per IN cord-316393-ozl28ztz 259 13 - - HYPH cord-316393-ozl28ztz 259 14 day day NN cord-316393-ozl28ztz 259 15 curve curve NN cord-316393-ozl28ztz 259 16 . . . cord-316393-ozl28ztz 260 1 The the DT cord-316393-ozl28ztz 260 2 lockdown lockdown NN cord-316393-ozl28ztz 260 3 produces produce VBZ cord-316393-ozl28ztz 260 4 a a DT cord-316393-ozl28ztz 260 5 relatively relatively RB cord-316393-ozl28ztz 260 6 long long JJ cord-316393-ozl28ztz 260 7 broadening broadening NN cord-316393-ozl28ztz 260 8 of of IN cord-316393-ozl28ztz 260 9 the the DT cord-316393-ozl28ztz 260 10 curve curve NN cord-316393-ozl28ztz 260 11 and and CC cord-316393-ozl28ztz 260 12 a a DT cord-316393-ozl28ztz 260 13 slow slow JJ cord-316393-ozl28ztz 260 14 decay decay NN cord-316393-ozl28ztz 260 15 . . . cord-316393-ozl28ztz 261 1 Similar similar JJ cord-316393-ozl28ztz 261 2 MC MC NNP cord-316393-ozl28ztz 261 3 calculations calculation NNS cord-316393-ozl28ztz 261 4 can can MD cord-316393-ozl28ztz 261 5 be be VB cord-316393-ozl28ztz 261 6 performed perform VBN cord-316393-ozl28ztz 261 7 in in IN cord-316393-ozl28ztz 261 8 several several JJ cord-316393-ozl28ztz 261 9 countries country NNS cord-316393-ozl28ztz 261 10 to to TO cord-316393-ozl28ztz 261 11 infer infer VB cord-316393-ozl28ztz 261 12 the the DT cord-316393-ozl28ztz 261 13 devastating devastating JJ cord-316393-ozl28ztz 261 14 effect effect NN cord-316393-ozl28ztz 261 15 of of IN cord-316393-ozl28ztz 261 16 a a DT cord-316393-ozl28ztz 261 17 late late JJ cord-316393-ozl28ztz 261 18 lockdown lockdown NN cord-316393-ozl28ztz 261 19 as as IN cord-316393-ozl28ztz 261 20 compared compare VBN cord-316393-ozl28ztz 261 21 with with IN cord-316393-ozl28ztz 261 22 early early JJ cord-316393-ozl28ztz 261 23 lockdown lockdown NN cord-316393-ozl28ztz 261 24 measures measure NNS cord-316393-ozl28ztz 261 25 . . . cord-316393-ozl28ztz 262 1 The the DT cord-316393-ozl28ztz 262 2 later later RB cord-316393-ozl28ztz 262 3 is be VBZ cord-316393-ozl28ztz 262 4 the the DT cord-316393-ozl28ztz 262 5 case case NN cord-316393-ozl28ztz 262 6 of of IN cord-316393-ozl28ztz 262 7 South South NNP cord-316393-ozl28ztz 262 8 Africa Africa NNP cord-316393-ozl28ztz 262 9 and and CC cord-316393-ozl28ztz 262 10 other other JJ cord-316393-ozl28ztz 262 11 countries country NNS cord-316393-ozl28ztz 262 12 , , , cord-316393-ozl28ztz 262 13 which which WDT cord-316393-ozl28ztz 262 14 have have VBP cord-316393-ozl28ztz 262 15 not not RB cord-316393-ozl28ztz 262 16 reached reach VBN cord-316393-ozl28ztz 262 17 the the DT cord-316393-ozl28ztz 262 18 exponential exponential JJ cord-316393-ozl28ztz 262 19 growth growth NN cord-316393-ozl28ztz 262 20 . . . cord-316393-ozl28ztz 263 1 The the DT cord-316393-ozl28ztz 263 2 Death death NN cord-316393-ozl28ztz 263 3 ( ( -LRB- cord-316393-ozl28ztz 263 4 D D NNP cord-316393-ozl28ztz 263 5 ) ) -RRB- cord-316393-ozl28ztz 263 6 and and CC cord-316393-ozl28ztz 263 7 extended extend VBD cord-316393-ozl28ztz 263 8 SIR SIR NNP cord-316393-ozl28ztz 263 9 ( ( -LRB- cord-316393-ozl28ztz 263 10 ESIR ESIR NNP cord-316393-ozl28ztz 263 11 ) ) -RRB- cord-316393-ozl28ztz 263 12 models model NNS cord-316393-ozl28ztz 263 13 are be VBP cord-316393-ozl28ztz 263 14 simple simple JJ cord-316393-ozl28ztz 263 15 enough enough RB cord-316393-ozl28ztz 263 16 to to TO cord-316393-ozl28ztz 263 17 provide provide VB cord-316393-ozl28ztz 263 18 fast fast JJ cord-316393-ozl28ztz 263 19 estimations estimation NNS cord-316393-ozl28ztz 263 20 of of IN cord-316393-ozl28ztz 263 21 pandemic pandemic JJ cord-316393-ozl28ztz 263 22 evolution evolution NN cord-316393-ozl28ztz 263 23 by by IN cord-316393-ozl28ztz 263 24 fitting fit VBG cord-316393-ozl28ztz 263 25 spatial spatial JJ cord-316393-ozl28ztz 263 26 - - HYPH cord-316393-ozl28ztz 263 27 time time NN cord-316393-ozl28ztz 263 28 average average JJ cord-316393-ozl28ztz 263 29 parameters parameter NNS cord-316393-ozl28ztz 263 30 , , , cord-316393-ozl28ztz 263 31 and and CC cord-316393-ozl28ztz 263 32 present present VB cord-316393-ozl28ztz 263 33 a a DT cord-316393-ozl28ztz 263 34 good good JJ cord-316393-ozl28ztz 263 35 first first JJ cord-316393-ozl28ztz 263 36 - - HYPH cord-316393-ozl28ztz 263 37 order order NN cord-316393-ozl28ztz 263 38 approximation approximation NN cord-316393-ozl28ztz 263 39 to to TO cord-316393-ozl28ztz 263 40 understand understand VB cord-316393-ozl28ztz 263 41 secondary secondary JJ cord-316393-ozl28ztz 263 42 effects effect NNS cord-316393-ozl28ztz 263 43 during during IN cord-316393-ozl28ztz 263 44 the the DT cord-316393-ozl28ztz 263 45 pandemic pandemic NN cord-316393-ozl28ztz 263 46 , , , cord-316393-ozl28ztz 263 47 such such JJ cord-316393-ozl28ztz 263 48 as as IN cord-316393-ozl28ztz 263 49 lockdown lockdown NN cord-316393-ozl28ztz 263 50 and and CC cord-316393-ozl28ztz 263 51 population population NN cord-316393-ozl28ztz 263 52 migrations migration NNS cord-316393-ozl28ztz 263 53 , , , cord-316393-ozl28ztz 263 54 which which WDT cord-316393-ozl28ztz 263 55 may may MD cord-316393-ozl28ztz 263 56 help help VB cord-316393-ozl28ztz 263 57 to to TO cord-316393-ozl28ztz 263 58 control control VB cord-316393-ozl28ztz 263 59 the the DT cord-316393-ozl28ztz 263 60 disease disease NN cord-316393-ozl28ztz 263 61 . . . cord-316393-ozl28ztz 264 1 Similar similar JJ cord-316393-ozl28ztz 264 2 models model NNS cord-316393-ozl28ztz 264 3 are be VBP cord-316393-ozl28ztz 264 4 available available JJ cord-316393-ozl28ztz 264 5 [ [ -LRB- cord-316393-ozl28ztz 264 6 17 17 CD cord-316393-ozl28ztz 264 7 , , , cord-316393-ozl28ztz 264 8 27 27 CD cord-316393-ozl28ztz 264 9 ] ] -RRB- cord-316393-ozl28ztz 264 10 , , , cord-316393-ozl28ztz 264 11 but but CC cord-316393-ozl28ztz 264 12 challenges challenge NNS cord-316393-ozl28ztz 264 13 in in IN cord-316393-ozl28ztz 264 14 epidemiological epidemiological JJ cord-316393-ozl28ztz 264 15 modeling modeling NN cord-316393-ozl28ztz 264 16 remain remain VBP cord-316393-ozl28ztz 264 17 [ [ -LRB- cord-316393-ozl28ztz 264 18 28 28 CD cord-316393-ozl28ztz 264 19 ] ] -RRB- cord-316393-ozl28ztz 264 20 [ [ -LRB- cord-316393-ozl28ztz 264 21 29 29 CD cord-316393-ozl28ztz 264 22 ] ] -RRB- cord-316393-ozl28ztz 265 1 [ [ -LRB- cord-316393-ozl28ztz 265 2 30 30 CD cord-316393-ozl28ztz 265 3 ] ] -RRB- cord-316393-ozl28ztz 265 4 [ [ -LRB- cord-316393-ozl28ztz 265 5 31 31 CD cord-316393-ozl28ztz 265 6 ] ] -RRB- cord-316393-ozl28ztz 265 7 . . . cord-316393-ozl28ztz 266 1 This this DT cord-316393-ozl28ztz 266 2 is be VBZ cord-316393-ozl28ztz 266 3 a a DT cord-316393-ozl28ztz 266 4 very very RB cord-316393-ozl28ztz 266 5 complex complex JJ cord-316393-ozl28ztz 266 6 system system NN cord-316393-ozl28ztz 266 7 , , , cord-316393-ozl28ztz 266 8 which which WDT cord-316393-ozl28ztz 266 9 involves involve VBZ cord-316393-ozl28ztz 266 10 many many JJ cord-316393-ozl28ztz 266 11 degrees degree NNS cord-316393-ozl28ztz 266 12 of of IN cord-316393-ozl28ztz 266 13 freedom freedom NN cord-316393-ozl28ztz 266 14 and and CC cord-316393-ozl28ztz 266 15 millions million NNS cord-316393-ozl28ztz 266 16 of of IN cord-316393-ozl28ztz 266 17 people people NNS cord-316393-ozl28ztz 266 18 , , , cord-316393-ozl28ztz 266 19 and and CC cord-316393-ozl28ztz 266 20 even even RB cord-316393-ozl28ztz 266 21 assuming assume VBG cord-316393-ozl28ztz 266 22 consistent consistent JJ cord-316393-ozl28ztz 266 23 disease disease NN cord-316393-ozl28ztz 266 24 reporting report VBG cord-316393-ozl28ztz 266 25 -which -which : cord-316393-ozl28ztz 266 26 is be VBZ cord-316393-ozl28ztz 266 27 rarely rarely RB cord-316393-ozl28ztz 266 28 the the DT cord-316393-ozl28ztz 266 29 case case NN cord-316393-ozl28ztz 266 30 -there -there NN cord-316393-ozl28ztz 266 31 remains remain VBZ cord-316393-ozl28ztz 266 32 an an DT cord-316393-ozl28ztz 266 33 impor impor JJ cord-316393-ozl28ztz 266 34 - - HYPH cord-316393-ozl28ztz 266 35 tant tant JJ cord-316393-ozl28ztz 266 36 open open JJ cord-316393-ozl28ztz 266 37 question question NN cord-316393-ozl28ztz 266 38 : : : cord-316393-ozl28ztz 266 39 Can Can MD cord-316393-ozl28ztz 266 40 any any DT cord-316393-ozl28ztz 266 41 model model NN cord-316393-ozl28ztz 266 42 predict predict VB cord-316393-ozl28ztz 266 43 the the DT cord-316393-ozl28ztz 266 44 evolution evolution NN cord-316393-ozl28ztz 266 45 of of IN cord-316393-ozl28ztz 266 46 an an DT cord-316393-ozl28ztz 266 47 epidemic epidemic NN cord-316393-ozl28ztz 266 48 from from IN cord-316393-ozl28ztz 266 49 partial partial JJ cord-316393-ozl28ztz 266 50 data datum NNS cord-316393-ozl28ztz 266 51 ? ? . cord-316393-ozl28ztz 267 1 Or or CC cord-316393-ozl28ztz 267 2 similarly similarly RB cord-316393-ozl28ztz 267 3 , , , cord-316393-ozl28ztz 267 4 Is be VBZ cord-316393-ozl28ztz 267 5 it -PRON- PRP cord-316393-ozl28ztz 267 6 possible possible JJ cord-316393-ozl28ztz 267 7 , , , cord-316393-ozl28ztz 267 8 at at IN cord-316393-ozl28ztz 267 9 any any DT cord-316393-ozl28ztz 267 10 given give VBN cord-316393-ozl28ztz 267 11 time time NN cord-316393-ozl28ztz 267 12 and and CC cord-316393-ozl28ztz 267 13 data datum NNS cord-316393-ozl28ztz 267 14 , , , cord-316393-ozl28ztz 267 15 to to TO cord-316393-ozl28ztz 267 16 measure measure VB cord-316393-ozl28ztz 267 17 the the DT cord-316393-ozl28ztz 267 18 validity validity NN cord-316393-ozl28ztz 267 19 of of IN cord-316393-ozl28ztz 267 20 an an DT cord-316393-ozl28ztz 267 21 epidemic epidemic NN cord-316393-ozl28ztz 267 22 growth growth NN cord-316393-ozl28ztz 267 23 curve curve NN cord-316393-ozl28ztz 267 24 ? ? . cord-316393-ozl28ztz 268 1 We -PRON- PRP cord-316393-ozl28ztz 268 2 finally finally RB cord-316393-ozl28ztz 268 3 hope hope VBP cord-316393-ozl28ztz 268 4 that that IN cord-316393-ozl28ztz 268 5 we -PRON- PRP cord-316393-ozl28ztz 268 6 have have VBP cord-316393-ozl28ztz 268 7 added add VBN cord-316393-ozl28ztz 268 8 new new JJ cord-316393-ozl28ztz 268 9 insightful insightful JJ cord-316393-ozl28ztz 268 10 ideas idea NNS cord-316393-ozl28ztz 268 11 with with IN cord-316393-ozl28ztz 268 12 the the DT cord-316393-ozl28ztz 268 13 Death death NN cord-316393-ozl28ztz 268 14 , , , cord-316393-ozl28ztz 268 15 the the DT cord-316393-ozl28ztz 268 16 extended extended JJ cord-316393-ozl28ztz 268 17 SIR SIR NNP cord-316393-ozl28ztz 268 18 and and CC cord-316393-ozl28ztz 268 19 Monte Monte NNP cord-316393-ozl28ztz 268 20 Carlo Carlo NNP cord-316393-ozl28ztz 268 21 models model NNS cord-316393-ozl28ztz 268 22 , , , cord-316393-ozl28ztz 268 23 which which WDT cord-316393-ozl28ztz 268 24 can can MD cord-316393-ozl28ztz 268 25 now now RB cord-316393-ozl28ztz 268 26 be be VB cord-316393-ozl28ztz 268 27 applied apply VBN cord-316393-ozl28ztz 268 28 to to IN cord-316393-ozl28ztz 268 29 any any DT cord-316393-ozl28ztz 268 30 country country NN cord-316393-ozl28ztz 268 31 which which WDT cord-316393-ozl28ztz 268 32 has have VBZ cord-316393-ozl28ztz 268 33 followed follow VBN cord-316393-ozl28ztz 268 34 the the DT cord-316393-ozl28ztz 268 35 initial initial JJ cord-316393-ozl28ztz 268 36 exponential exponential JJ cord-316393-ozl28ztz 268 37 pandemic pandemic NN cord-316393-ozl28ztz 268 38 growth growth NN cord-316393-ozl28ztz 268 39 . . . cord-316393-ozl28ztz 269 1 It -PRON- PRP cord-316393-ozl28ztz 269 2 is be VBZ cord-316393-ozl28ztz 269 3 important important JJ cord-316393-ozl28ztz 269 4 to to TO cord-316393-ozl28ztz 269 5 note note VB cord-316393-ozl28ztz 269 6 that that IN cord-316393-ozl28ztz 269 7 the the DT cord-316393-ozl28ztz 269 8 ESIR ESIR NNP cord-316393-ozl28ztz 269 9 and and CC cord-316393-ozl28ztz 269 10 D d NN cord-316393-ozl28ztz 269 11 models model NNS cord-316393-ozl28ztz 269 12 predict predict VBP cord-316393-ozl28ztz 269 13 similar similar JJ cord-316393-ozl28ztz 269 14 patterns pattern NNS cord-316393-ozl28ztz 269 15 of of IN cord-316393-ozl28ztz 269 16 infected infected JJ cord-316393-ozl28ztz 269 17 and and CC cord-316393-ozl28ztz 269 18 death death NN cord-316393-ozl28ztz 269 19 cases case NNS cord-316393-ozl28ztz 269 20 assuming assume VBG cord-316393-ozl28ztz 269 21 very very RB cord-316393-ozl28ztz 269 22 different different JJ cord-316393-ozl28ztz 269 23 premises premise NNS cord-316393-ozl28ztz 269 24 : : : cord-316393-ozl28ztz 269 25 recovery recovery NN cord-316393-ozl28ztz 269 26 and and CC cord-316393-ozl28ztz 269 27 no no DT cord-316393-ozl28ztz 269 28 recovery recovery NN cord-316393-ozl28ztz 269 29 , , , cord-316393-ozl28ztz 269 30 respectively respectively RB cord-316393-ozl28ztz 269 31 . . . cord-316393-ozl28ztz 270 1 This this DT cord-316393-ozl28ztz 270 2 , , , cord-316393-ozl28ztz 270 3 together together RB cord-316393-ozl28ztz 270 4 with with IN cord-316393-ozl28ztz 270 5 the the DT cord-316393-ozl28ztz 270 6 fact fact NN cord-316393-ozl28ztz 270 7 that that IN cord-316393-ozl28ztz 270 8 the the DT cord-316393-ozl28ztz 270 9 ESIR ESIR NNP cord-316393-ozl28ztz 270 10 model model NN cord-316393-ozl28ztz 270 11 predicts predict VBZ cord-316393-ozl28ztz 270 12 that that IN cord-316393-ozl28ztz 270 13 r r NN cord-316393-ozl28ztz 270 14 → → IN cord-316393-ozl28ztz 270 15 1 1 CD cord-316393-ozl28ztz 270 16 for for IN cord-316393-ozl28ztz 270 17 large large JJ cord-316393-ozl28ztz 270 18 t t NN cord-316393-ozl28ztz 270 19 , , , cord-316393-ozl28ztz 270 20 i.e. i.e. FW cord-316393-ozl28ztz 270 21 that that WDT cord-316393-ozl28ztz 270 22 most most RBS cord-316393-ozl28ztz 270 23 infected infected JJ cord-316393-ozl28ztz 270 24 cases case NNS cord-316393-ozl28ztz 270 25 eventually eventually RB cord-316393-ozl28ztz 270 26 recover recover VBP cord-316393-ozl28ztz 270 27 , , , cord-316393-ozl28ztz 270 28 leads lead VBZ cord-316393-ozl28ztz 270 29 to to IN cord-316393-ozl28ztz 270 30 the the DT cord-316393-ozl28ztz 270 31 logical logical JJ cord-316393-ozl28ztz 270 32 conclusion conclusion NN cord-316393-ozl28ztz 270 33 that that IN cord-316393-ozl28ztz 270 34 most most JJS cord-316393-ozl28ztz 270 35 people people NNS cord-316393-ozl28ztz 270 36 in in IN cord-316393-ozl28ztz 270 37 a a DT cord-316393-ozl28ztz 270 38 fixed fixed JJ cord-316393-ozl28ztz 270 39 population population NN cord-316393-ozl28ztz 270 40 N n CD cord-316393-ozl28ztz 270 41 become become VBN cord-316393-ozl28ztz 270 42 asymptomatic asymptomatic JJ cord-316393-ozl28ztz 270 43 in in IN cord-316393-ozl28ztz 270 44 the the DT cord-316393-ozl28ztz 270 45 D d NN cord-316393-ozl28ztz 270 46 model model NN cord-316393-ozl28ztz 270 47 and and CC cord-316393-ozl28ztz 270 48 eventually eventually RB cord-316393-ozl28ztz 270 49 recover recover VB cord-316393-ozl28ztz 270 50 from from IN cord-316393-ozl28ztz 270 51 COVID-19 COVID-19 NNP cord-316393-ozl28ztz 270 52 . . . cord-316393-ozl28ztz 271 1 One one CD cord-316393-ozl28ztz 271 2 remaining remain VBG cord-316393-ozl28ztz 271 3 important important JJ cord-316393-ozl28ztz 271 4 question question NN cord-316393-ozl28ztz 271 5 is be VBZ cord-316393-ozl28ztz 271 6 what what WP cord-316393-ozl28ztz 271 7 is be VBZ cord-316393-ozl28ztz 271 8 N n CD cord-316393-ozl28ztz 271 9 exactly exactly RB cord-316393-ozl28ztz 271 10 ; ; : cord-316393-ozl28ztz 271 11 is be VBZ cord-316393-ozl28ztz 271 12 it -PRON- PRP cord-316393-ozl28ztz 271 13 the the DT cord-316393-ozl28ztz 271 14 whole whole JJ cord-316393-ozl28ztz 271 15 country country NN cord-316393-ozl28ztz 271 16 , , , cord-316393-ozl28ztz 271 17 a a DT cord-316393-ozl28ztz 271 18 13 13 CD cord-316393-ozl28ztz 271 19 state state NN cord-316393-ozl28ztz 271 20 or or CC cord-316393-ozl28ztz 271 21 a a DT cord-316393-ozl28ztz 271 22 province province NN cord-316393-ozl28ztz 271 23 , , , cord-316393-ozl28ztz 271 24 or or CC cord-316393-ozl28ztz 271 25 is be VBZ cord-316393-ozl28ztz 271 26 it -PRON- PRP cord-316393-ozl28ztz 271 27 localized localized JJ cord-316393-ozl28ztz 271 28 to to IN cord-316393-ozl28ztz 271 29 specific specific JJ cord-316393-ozl28ztz 271 30 areas area NNS cord-316393-ozl28ztz 271 31 ? ? . cord-316393-ozl28ztz 272 1 Discussion discussion NN cord-316393-ozl28ztz 272 2 : : : cord-316393-ozl28ztz 272 3 the the DT cord-316393-ozl28ztz 272 4 Kermack Kermack NNP cord-316393-ozl28ztz 272 5 - - HYPH cord-316393-ozl28ztz 272 6 McKendrick McKendrick NNP cord-316393-ozl28ztz 272 7 epidemic epidemic NN cord-316393-ozl28ztz 272 8 threshold threshold NN cord-316393-ozl28ztz 272 9 theorem theorem NN cord-316393-ozl28ztz 272 10 Stability stability NN cord-316393-ozl28ztz 272 11 analysis analysis NN cord-316393-ozl28ztz 272 12 of of IN cord-316393-ozl28ztz 272 13 SIR SIR NNP cord-316393-ozl28ztz 272 14 model model NN cord-316393-ozl28ztz 272 15 with with IN cord-316393-ozl28ztz 272 16 vaccination vaccination NN cord-316393-ozl28ztz 272 17 Seasonality seasonality NN cord-316393-ozl28ztz 272 18 and and CC cord-316393-ozl28ztz 272 19 the the DT cord-316393-ozl28ztz 272 20 effectiveness effectiveness NN cord-316393-ozl28ztz 272 21 of of IN cord-316393-ozl28ztz 272 22 mass mass JJ cord-316393-ozl28ztz 272 23 vaccination vaccination NN cord-316393-ozl28ztz 272 24 Application Application NNP cord-316393-ozl28ztz 272 25 of of IN cord-316393-ozl28ztz 272 26 SIR SIR NNP cord-316393-ozl28ztz 272 27 epidemiological epidemiological JJ cord-316393-ozl28ztz 272 28 model model NN cord-316393-ozl28ztz 272 29 : : : cord-316393-ozl28ztz 272 30 new new JJ cord-316393-ozl28ztz 272 31 trends trend NNS cord-316393-ozl28ztz 272 32 Epidemic epidemic NN cord-316393-ozl28ztz 272 33 disease disease NN cord-316393-ozl28ztz 272 34 in in IN cord-316393-ozl28ztz 272 35 England England NNP cord-316393-ozl28ztz 273 1 -the -the DT cord-316393-ozl28ztz 273 2 evidence evidence NN cord-316393-ozl28ztz 273 3 of of IN cord-316393-ozl28ztz 273 4 variability variability NN cord-316393-ozl28ztz 273 5 and and CC cord-316393-ozl28ztz 273 6 of of IN cord-316393-ozl28ztz 273 7 persistency persistency NN cord-316393-ozl28ztz 273 8 of of IN cord-316393-ozl28ztz 273 9 type type NN cord-316393-ozl28ztz 273 10 Report Report NNP cord-316393-ozl28ztz 273 11 on on IN cord-316393-ozl28ztz 273 12 the the DT cord-316393-ozl28ztz 273 13 Prevention Prevention NNP cord-316393-ozl28ztz 273 14 of of IN cord-316393-ozl28ztz 273 15 Malaria Malaria NNP cord-316393-ozl28ztz 273 16 in in IN cord-316393-ozl28ztz 273 17 Mauritius Mauritius NNP cord-316393-ozl28ztz 274 1 An an DT cord-316393-ozl28ztz 274 2 application application NN cord-316393-ozl28ztz 274 3 of of IN cord-316393-ozl28ztz 274 4 the the DT cord-316393-ozl28ztz 274 5 theory theory NN cord-316393-ozl28ztz 274 6 of of IN cord-316393-ozl28ztz 274 7 probabilities probability NNS cord-316393-ozl28ztz 274 8 to to IN cord-316393-ozl28ztz 274 9 the the DT cord-316393-ozl28ztz 274 10 study study NN cord-316393-ozl28ztz 274 11 of of IN cord-316393-ozl28ztz 274 12 a a DT cord-316393-ozl28ztz 274 13 priori priori FW cord-316393-ozl28ztz 274 14 pathometry pathometry NN cord-316393-ozl28ztz 274 15 . . . cord-316393-ozl28ztz 275 1 -Part -Part : cord-316393-ozl28ztz 276 1 I -PRON- PRP cord-316393-ozl28ztz 277 1 An an DT cord-316393-ozl28ztz 277 2 application application NN cord-316393-ozl28ztz 277 3 of of IN cord-316393-ozl28ztz 277 4 the the DT cord-316393-ozl28ztz 277 5 theory theory NN cord-316393-ozl28ztz 277 6 of of IN cord-316393-ozl28ztz 277 7 probabilities probability NNS cord-316393-ozl28ztz 277 8 to to IN cord-316393-ozl28ztz 277 9 the the DT cord-316393-ozl28ztz 277 10 study study NN cord-316393-ozl28ztz 277 11 of of IN cord-316393-ozl28ztz 277 12 a a DT cord-316393-ozl28ztz 277 13 priori priori FW cord-316393-ozl28ztz 277 14 pathometry.-Part pathometry.-Part NNP cord-316393-ozl28ztz 277 15 III III NNP cord-316393-ozl28ztz 277 16 A a DT cord-316393-ozl28ztz 277 17 contribution contribution NN cord-316393-ozl28ztz 277 18 to to IN cord-316393-ozl28ztz 277 19 the the DT cord-316393-ozl28ztz 277 20 mathematical mathematical JJ cord-316393-ozl28ztz 277 21 theory theory NN cord-316393-ozl28ztz 277 22 of of IN cord-316393-ozl28ztz 277 23 epidemics epidemic NNS cord-316393-ozl28ztz 277 24 Discussion Discussion NNP cord-316393-ozl28ztz 277 25 of of IN cord-316393-ozl28ztz 277 26 âȂŸMeasles âȃÿmeasle NNS cord-316393-ozl28ztz 277 27 periodicity periodicity NN cord-316393-ozl28ztz 277 28 and and CC cord-316393-ozl28ztz 277 29 community community NN cord-316393-ozl28ztz 277 30 sizeâȂŹ sizeâȂŹ NNP cord-316393-ozl28ztz 277 31 by by IN cord-316393-ozl28ztz 277 32 Measles Measles NNP cord-316393-ozl28ztz 277 33 Periodicity Periodicity NNP cord-316393-ozl28ztz 277 34 and and CC cord-316393-ozl28ztz 277 35 Community Community NNP cord-316393-ozl28ztz 277 36 Size Size NNP cord-316393-ozl28ztz 277 37 Deterministic deterministic JJ cord-316393-ozl28ztz 277 38 and and CC cord-316393-ozl28ztz 277 39 Stochastic Stochastic NNP cord-316393-ozl28ztz 277 40 Models Models NNPS cord-316393-ozl28ztz 277 41 for for IN cord-316393-ozl28ztz 277 42 Recurrent Recurrent NNP cord-316393-ozl28ztz 277 43 Epidemics epidemic NNS cord-316393-ozl28ztz 278 1 Basic basic JJ cord-316393-ozl28ztz 278 2 Models Models NNPS cord-316393-ozl28ztz 278 3 for for IN cord-316393-ozl28ztz 278 4 Disease Disease NNP cord-316393-ozl28ztz 278 5 Occurrence Occurrence NNP cord-316393-ozl28ztz 278 6 in in IN cord-316393-ozl28ztz 278 7 Epidemiology epidemiology NN cord-316393-ozl28ztz 279 1 The the DT cord-316393-ozl28ztz 279 2 D d NN cord-316393-ozl28ztz 279 3 model model NN cord-316393-ozl28ztz 279 4 for for IN cord-316393-ozl28ztz 279 5 deaths death NNS cord-316393-ozl28ztz 279 6 by by IN cord-316393-ozl28ztz 279 7 COVID-19 COVID-19 NNP cord-316393-ozl28ztz 279 8 The the DT cord-316393-ozl28ztz 279 9 continuing continue VBG cord-316393-ozl28ztz 279 10 2019-nCoV 2019-ncov CD cord-316393-ozl28ztz 279 11 epidemic epidemic NN cord-316393-ozl28ztz 279 12 threat threat NN cord-316393-ozl28ztz 279 13 of of IN cord-316393-ozl28ztz 279 14 novel novel JJ cord-316393-ozl28ztz 279 15 coronaviruses coronaviruse NNS cord-316393-ozl28ztz 279 16 to to IN cord-316393-ozl28ztz 279 17 global global JJ cord-316393-ozl28ztz 279 18 health health NN cord-316393-ozl28ztz 279 19 âȂŤ âȂŤ NNS cord-316393-ozl28ztz 280 1 The the DT cord-316393-ozl28ztz 280 2 latest late JJS cord-316393-ozl28ztz 280 3 2019 2019 CD cord-316393-ozl28ztz 280 4 novel novel JJ cord-316393-ozl28ztz 280 5 coronavirus coronavirus NN cord-316393-ozl28ztz 280 6 outbreak outbreak NN cord-316393-ozl28ztz 280 7 in in IN cord-316393-ozl28ztz 280 8 Wuhan Wuhan NNP cord-316393-ozl28ztz 280 9 , , , cord-316393-ozl28ztz 280 10 China China NNP cord-316393-ozl28ztz 280 11 Situation Situation NNP cord-316393-ozl28ztz 280 12 Report Report NNP cord-316393-ozl28ztz 280 13 -83 -83 . cord-316393-ozl28ztz 281 1 Attacking attack VBG cord-316393-ozl28ztz 281 2 the the DT cord-316393-ozl28ztz 281 3 Covid-19 covid-19 NN cord-316393-ozl28ztz 281 4 with with IN cord-316393-ozl28ztz 281 5 the the DT cord-316393-ozl28ztz 281 6 Ising Ising NNP cord-316393-ozl28ztz 281 7 - - HYPH cord-316393-ozl28ztz 281 8 model model NN cord-316393-ozl28ztz 281 9 and and CC cord-316393-ozl28ztz 281 10 the the DT cord-316393-ozl28ztz 281 11 Fermi Fermi NNP cord-316393-ozl28ztz 281 12 - - HYPH cord-316393-ozl28ztz 281 13 Dirac Dirac NNP cord-316393-ozl28ztz 281 14 Distribution Distribution NNP cord-316393-ozl28ztz 281 15 Function Function NNP cord-316393-ozl28ztz 282 1 The the DT cord-316393-ozl28ztz 282 2 SIR SIR NNP cord-316393-ozl28ztz 282 3 model model NN cord-316393-ozl28ztz 282 4 and and CC cord-316393-ozl28ztz 282 5 the the DT cord-316393-ozl28ztz 282 6 Foundations Foundations NNPS cord-316393-ozl28ztz 282 7 of of IN cord-316393-ozl28ztz 282 8 Public Public NNP cord-316393-ozl28ztz 282 9 Health Health NNP cord-316393-ozl28ztz 282 10 Impact Impact NNP cord-316393-ozl28ztz 282 11 of of IN cord-316393-ozl28ztz 282 12 non non JJ cord-316393-ozl28ztz 282 13 - - JJ cord-316393-ozl28ztz 282 14 pharmaceutical pharmaceutical JJ cord-316393-ozl28ztz 282 15 interventions intervention NNS cord-316393-ozl28ztz 282 16 against against IN cord-316393-ozl28ztz 282 17 COVID-19 COVID-19 NNP cord-316393-ozl28ztz 282 18 in in IN cord-316393-ozl28ztz 282 19 Europe Europe NNP cord-316393-ozl28ztz 282 20 : : : cord-316393-ozl28ztz 282 21 a a DT cord-316393-ozl28ztz 282 22 quasi quasi JJ cord-316393-ozl28ztz 282 23 - - JJ cord-316393-ozl28ztz 282 24 experimental experimental JJ cord-316393-ozl28ztz 282 25 study study NN cord-316393-ozl28ztz 282 26 Inferring Inferring NNP cord-316393-ozl28ztz 282 27 COVID-19 covid-19 DT cord-316393-ozl28ztz 282 28 spreading spread VBG cord-316393-ozl28ztz 282 29 rates rate NNS cord-316393-ozl28ztz 282 30 and and CC cord-316393-ozl28ztz 282 31 potential potential JJ cord-316393-ozl28ztz 282 32 change change NN cord-316393-ozl28ztz 282 33 points point NNS cord-316393-ozl28ztz 282 34 for for IN cord-316393-ozl28ztz 282 35 case case NN cord-316393-ozl28ztz 282 36 number number NN cord-316393-ozl28ztz 282 37 forecasts forecast NNS cord-316393-ozl28ztz 282 38 Special special JJ cord-316393-ozl28ztz 282 39 Issue Issue NNP cord-316393-ozl28ztz 282 40 on on IN cord-316393-ozl28ztz 282 41 Challenges challenge NNS cord-316393-ozl28ztz 282 42 in in IN cord-316393-ozl28ztz 282 43 Modelling model VBG cord-316393-ozl28ztz 282 44 Infectious infectious JJ cord-316393-ozl28ztz 282 45 Disease Disease NNP cord-316393-ozl28ztz 283 1 Dynamics dynamic NNS cord-316393-ozl28ztz 283 2 Modeling model VBG cord-316393-ozl28ztz 283 3 infectious infectious JJ cord-316393-ozl28ztz 283 4 disease disease NN cord-316393-ozl28ztz 283 5 dynamics dynamic NNS cord-316393-ozl28ztz 283 6 in in IN cord-316393-ozl28ztz 283 7 the the DT cord-316393-ozl28ztz 283 8 complex complex JJ cord-316393-ozl28ztz 283 9 landscape landscape NN cord-316393-ozl28ztz 283 10 of of IN cord-316393-ozl28ztz 283 11 global global JJ cord-316393-ozl28ztz 283 12 health health NN cord-316393-ozl28ztz 283 13 Mathematical Mathematical NNP cord-316393-ozl28ztz 283 14 epidemiology epidemiology NN cord-316393-ozl28ztz 283 15 : : : cord-316393-ozl28ztz 283 16 past past JJ cord-316393-ozl28ztz 283 17 , , , cord-316393-ozl28ztz 283 18 present present JJ cord-316393-ozl28ztz 283 19 , , , cord-316393-ozl28ztz 283 20 and and CC cord-316393-ozl28ztz 283 21 future future JJ cord-316393-ozl28ztz 283 22 True true JJ cord-316393-ozl28ztz 283 23 epidemic epidemic NN cord-316393-ozl28ztz 283 24 growth growth NN cord-316393-ozl28ztz 283 25 construction construction NN cord-316393-ozl28ztz 283 26 through through IN cord-316393-ozl28ztz 283 27 harmonic harmonic JJ cord-316393-ozl28ztz 283 28 analysis analysis NN cord-316393-ozl28ztz 284 1 The the DT cord-316393-ozl28ztz 284 2 authors author NNS cord-316393-ozl28ztz 284 3 thank thank VBP cord-316393-ozl28ztz 284 4 useful useful JJ cord-316393-ozl28ztz 284 5 comments comment NNS cord-316393-ozl28ztz 284 6 from from IN cord-316393-ozl28ztz 284 7 Emmanuel Emmanuel NNP cord-316393-ozl28ztz 284 8 Clément Clément NNP cord-316393-ozl28ztz 284 9 , , , cord-316393-ozl28ztz 284 10 Araceli Araceli NNP cord-316393-ozl28ztz 284 11 Lopez Lopez NNP cord-316393-ozl28ztz 284 12 - - HYPH cord-316393-ozl28ztz 284 13 Martens Martens NNPS cord-316393-ozl28ztz 284 14 , , , cord-316393-ozl28ztz 284 15 David David NNP cord-316393-ozl28ztz 284 16 Jenkins Jenkins NNP cord-316393-ozl28ztz 284 17 , , , cord-316393-ozl28ztz 284 18 Ramon Ramon NNP cord-316393-ozl28ztz 284 19 Wyss Wyss NNP cord-316393-ozl28ztz 284 20 , , , cord-316393-ozl28ztz 284 21 Azwinndini Azwinndini NNP cord-316393-ozl28ztz 284 22 Muronga Muronga NNP cord-316393-ozl28ztz 284 23 , , , cord-316393-ozl28ztz 284 24 Liam Liam NNP cord-316393-ozl28ztz 284 25 Gaffney Gaffney NNP cord-316393-ozl28ztz 284 26 and and CC cord-316393-ozl28ztz 284 27 Hans Hans NNP cord-316393-ozl28ztz 284 28 Fynbo Fynbo NNP cord-316393-ozl28ztz 284 29 . . . cord-316393-ozl28ztz 285 1 This this DT cord-316393-ozl28ztz 285 2 work work NN cord-316393-ozl28ztz 285 3 was be VBD cord-316393-ozl28ztz 285 4 supported support VBN cord-316393-ozl28ztz 285 5 by by IN cord-316393-ozl28ztz 285 6 the the DT cord-316393-ozl28ztz 285 7 Spanish spanish JJ cord-316393-ozl28ztz 285 8 Ministerio Ministerio NNP cord-316393-ozl28ztz 285 9 de de NNP cord-316393-ozl28ztz 285 10 Economía Economía NNP cord-316393-ozl28ztz 285 11 y y NNP cord-316393-ozl28ztz 285 12 Competitividad Competitividad NNP cord-316393-ozl28ztz 285 13 and and CC cord-316393-ozl28ztz 285 14 European European NNP cord-316393-ozl28ztz 285 15 FEDER FEDER NNP cord-316393-ozl28ztz 285 16 funds fund NNS cord-316393-ozl28ztz 285 17 ( ( -LRB- cord-316393-ozl28ztz 285 18 grant grant VBP cord-316393-ozl28ztz 285 19 FIS2017 FIS2017 NNP cord-316393-ozl28ztz 285 20 - - HYPH cord-316393-ozl28ztz 285 21 85053-C2 85053-c2 NN cord-316393-ozl28ztz 285 22 - - HYPH cord-316393-ozl28ztz 285 23 1-P 1-p CD cord-316393-ozl28ztz 285 24 ) ) -RRB- cord-316393-ozl28ztz 285 25 , , , cord-316393-ozl28ztz 285 26 Junta Junta NNP cord-316393-ozl28ztz 285 27 de de NNP cord-316393-ozl28ztz 285 28 Andalucía Andalucía NNP cord-316393-ozl28ztz 285 29 ( ( -LRB- cord-316393-ozl28ztz 285 30 grant grant NNP cord-316393-ozl28ztz 285 31 FQM-225 FQM-225 NNP cord-316393-ozl28ztz 285 32 ) ) -RRB- cord-316393-ozl28ztz 285 33 and and CC cord-316393-ozl28ztz 285 34 the the DT cord-316393-ozl28ztz 285 35 South South NNP cord-316393-ozl28ztz 285 36 African African NNP cord-316393-ozl28ztz 285 37 National National NNP cord-316393-ozl28ztz 285 38 Research Research NNP cord-316393-ozl28ztz 285 39 Foundation Foundation NNP cord-316393-ozl28ztz 285 40 ( ( -LRB- cord-316393-ozl28ztz 285 41 NRF NRF NNP cord-316393-ozl28ztz 285 42 ) ) -RRB- cord-316393-ozl28ztz 285 43 under under IN cord-316393-ozl28ztz 285 44 Grant Grant NNP cord-316393-ozl28ztz 285 45 93500 93500 CD cord-316393-ozl28ztz 285 46 . . .