id sid tid token lemma pos cord-126419-u61qc8ey 1 1 key key JJ cord-126419-u61qc8ey 1 2 : : : cord-126419-u61qc8ey 1 3 cord-126419-u61qc8ey cord-126419-u61qc8ey NN cord-126419-u61qc8ey 1 4 authors author NNS cord-126419-u61qc8ey 1 5 : : : cord-126419-u61qc8ey 1 6 Qi Qi NNP cord-126419-u61qc8ey 1 7 , , , cord-126419-u61qc8ey 1 8 Chong Chong NNP cord-126419-u61qc8ey 1 9 ; ; : cord-126419-u61qc8ey 1 10 Karlsson Karlsson NNP cord-126419-u61qc8ey 1 11 , , , cord-126419-u61qc8ey 1 12 Daniel Daniel NNP cord-126419-u61qc8ey 1 13 ; ; : cord-126419-u61qc8ey 1 14 Sallmen Sallmen NNP cord-126419-u61qc8ey 1 15 , , , cord-126419-u61qc8ey 1 16 Karl Karl NNP cord-126419-u61qc8ey 1 17 ; ; : cord-126419-u61qc8ey 2 1 Wyss Wyss NNP cord-126419-u61qc8ey 2 2 , , , cord-126419-u61qc8ey 2 3 Ramon Ramon NNP cord-126419-u61qc8ey 2 4 title title NN cord-126419-u61qc8ey 2 5 : : : cord-126419-u61qc8ey 2 6 Model Model NNP cord-126419-u61qc8ey 2 7 studies study NNS cord-126419-u61qc8ey 2 8 on on IN cord-126419-u61qc8ey 2 9 the the DT cord-126419-u61qc8ey 2 10 COVID-19 covid-19 JJ cord-126419-u61qc8ey 2 11 pandemic pandemic NN cord-126419-u61qc8ey 2 12 in in IN cord-126419-u61qc8ey 2 13 Sweden Sweden NNP cord-126419-u61qc8ey 2 14 date date NN cord-126419-u61qc8ey 2 15 : : : cord-126419-u61qc8ey 2 16 2020 2020 CD cord-126419-u61qc8ey 2 17 - - HYPH cord-126419-u61qc8ey 2 18 04 04 CD cord-126419-u61qc8ey 2 19 - - HYPH cord-126419-u61qc8ey 2 20 03 03 CD cord-126419-u61qc8ey 2 21 journal journal NN cord-126419-u61qc8ey 2 22 : : : cord-126419-u61qc8ey 3 1 nan nan NNP cord-126419-u61qc8ey 3 2 DOI DOI NNP cord-126419-u61qc8ey 3 3 : : : cord-126419-u61qc8ey 3 4 nan nan NNP cord-126419-u61qc8ey 3 5 sha sha NNP cord-126419-u61qc8ey 3 6 : : : cord-126419-u61qc8ey 3 7 828c56fdc5ce5b42d95fc75f6234662c3fe5afc2 828c56fdc5ce5b42d95fc75f6234662c3fe5afc2 CD cord-126419-u61qc8ey 3 8 doc_id doc_id CD cord-126419-u61qc8ey 3 9 : : : cord-126419-u61qc8ey 3 10 126419 126419 CD cord-126419-u61qc8ey 3 11 cord_uid cord_uid NNS cord-126419-u61qc8ey 3 12 : : : cord-126419-u61qc8ey 3 13 u61qc8ey u61qc8ey ADD cord-126419-u61qc8ey 4 1 We -PRON- PRP cord-126419-u61qc8ey 4 2 study study VBP cord-126419-u61qc8ey 4 3 the the DT cord-126419-u61qc8ey 4 4 increases increase NNS cord-126419-u61qc8ey 4 5 of of IN cord-126419-u61qc8ey 4 6 infections infection NNS cord-126419-u61qc8ey 4 7 and and CC cord-126419-u61qc8ey 4 8 deaths death NNS cord-126419-u61qc8ey 4 9 in in IN cord-126419-u61qc8ey 4 10 Sweden Sweden NNP cord-126419-u61qc8ey 4 11 caused cause VBN cord-126419-u61qc8ey 4 12 by by IN cord-126419-u61qc8ey 4 13 COVID-19 COVID-19 NNP cord-126419-u61qc8ey 4 14 with with IN cord-126419-u61qc8ey 4 15 several several JJ cord-126419-u61qc8ey 4 16 different different JJ cord-126419-u61qc8ey 4 17 models model NNS cord-126419-u61qc8ey 4 18 : : : cord-126419-u61qc8ey 4 19 Firstly firstly RB cord-126419-u61qc8ey 4 20 an an DT cord-126419-u61qc8ey 4 21 analytical analytical JJ cord-126419-u61qc8ey 4 22 susceptible susceptible JJ cord-126419-u61qc8ey 4 23 - - HYPH cord-126419-u61qc8ey 4 24 infected infected JJ cord-126419-u61qc8ey 4 25 ( ( -LRB- cord-126419-u61qc8ey 4 26 SI SI NNP cord-126419-u61qc8ey 4 27 ) ) -RRB- cord-126419-u61qc8ey 4 28 model model NN cord-126419-u61qc8ey 4 29 and and CC cord-126419-u61qc8ey 4 30 the the DT cord-126419-u61qc8ey 4 31 standard standard JJ cord-126419-u61qc8ey 4 32 susceptible susceptible JJ cord-126419-u61qc8ey 4 33 - - HYPH cord-126419-u61qc8ey 4 34 infected infected JJ cord-126419-u61qc8ey 4 35 - - HYPH cord-126419-u61qc8ey 4 36 recovered recovered JJ cord-126419-u61qc8ey 4 37 ( ( -LRB- cord-126419-u61qc8ey 4 38 SIR SIR NNP cord-126419-u61qc8ey 4 39 ) ) -RRB- cord-126419-u61qc8ey 4 40 model model NN cord-126419-u61qc8ey 4 41 . . . cord-126419-u61qc8ey 5 1 Then then RB cord-126419-u61qc8ey 5 2 within within IN cord-126419-u61qc8ey 5 3 the the DT cord-126419-u61qc8ey 5 4 SIR SIR NNP cord-126419-u61qc8ey 5 5 framework framework NN cord-126419-u61qc8ey 5 6 we -PRON- PRP cord-126419-u61qc8ey 5 7 study study VBP cord-126419-u61qc8ey 5 8 the the DT cord-126419-u61qc8ey 5 9 susceptible susceptible RB cord-126419-u61qc8ey 5 10 - - HYPH cord-126419-u61qc8ey 5 11 infected infect VBN cord-126419-u61qc8ey 5 12 - - HYPH cord-126419-u61qc8ey 5 13 deceased deceased JJ cord-126419-u61qc8ey 5 14 ( ( -LRB- cord-126419-u61qc8ey 5 15 SID SID NNP cord-126419-u61qc8ey 5 16 ) ) -RRB- cord-126419-u61qc8ey 5 17 correlations correlation NNS cord-126419-u61qc8ey 5 18 . . . cord-126419-u61qc8ey 6 1 All all DT cord-126419-u61qc8ey 6 2 models model NNS cord-126419-u61qc8ey 6 3 reproduce reproduce VBP cord-126419-u61qc8ey 6 4 well well RB cord-126419-u61qc8ey 6 5 the the DT cord-126419-u61qc8ey 6 6 number number NN cord-126419-u61qc8ey 6 7 of of IN cord-126419-u61qc8ey 6 8 infected infected JJ cord-126419-u61qc8ey 6 9 cases case NNS cord-126419-u61qc8ey 6 10 and and CC cord-126419-u61qc8ey 6 11 give give VB cord-126419-u61qc8ey 6 12 similar similar JJ cord-126419-u61qc8ey 6 13 predictions prediction NNS cord-126419-u61qc8ey 6 14 . . . cord-126419-u61qc8ey 7 1 What what WP cord-126419-u61qc8ey 7 2 causes cause VBZ cord-126419-u61qc8ey 7 3 us -PRON- PRP cord-126419-u61qc8ey 7 4 deep deep JJ cord-126419-u61qc8ey 7 5 concern concern NN cord-126419-u61qc8ey 7 6 is be VBZ cord-126419-u61qc8ey 7 7 the the DT cord-126419-u61qc8ey 7 8 large large JJ cord-126419-u61qc8ey 7 9 number number NN cord-126419-u61qc8ey 7 10 of of IN cord-126419-u61qc8ey 7 11 deaths death NNS cord-126419-u61qc8ey 7 12 projected project VBN cord-126419-u61qc8ey 7 13 by by IN cord-126419-u61qc8ey 7 14 the the DT cord-126419-u61qc8ey 7 15 SI SI NNP cord-126419-u61qc8ey 7 16 and and CC cord-126419-u61qc8ey 7 17 SID SID NNP cord-126419-u61qc8ey 7 18 models model NNS cord-126419-u61qc8ey 7 19 . . . cord-126419-u61qc8ey 8 1 Our -PRON- PRP$ cord-126419-u61qc8ey 8 2 analysis analysis NN cord-126419-u61qc8ey 8 3 shows show VBZ cord-126419-u61qc8ey 8 4 that that IN cord-126419-u61qc8ey 8 5 , , , cord-126419-u61qc8ey 8 6 irrespective irrespective RB cord-126419-u61qc8ey 8 7 of of IN cord-126419-u61qc8ey 8 8 the the DT cord-126419-u61qc8ey 8 9 possible possible JJ cord-126419-u61qc8ey 8 10 uncertainty uncertainty NN cord-126419-u61qc8ey 8 11 of of IN cord-126419-u61qc8ey 8 12 our -PRON- PRP$ cord-126419-u61qc8ey 8 13 model model NN cord-126419-u61qc8ey 8 14 prediction prediction NN cord-126419-u61qc8ey 8 15 , , , cord-126419-u61qc8ey 8 16 the the DT cord-126419-u61qc8ey 8 17 next next JJ cord-126419-u61qc8ey 8 18 few few JJ cord-126419-u61qc8ey 8 19 days day NNS cord-126419-u61qc8ey 8 20 can can MD cord-126419-u61qc8ey 8 21 be be VB cord-126419-u61qc8ey 8 22 critical critical JJ cord-126419-u61qc8ey 8 23 for for IN cord-126419-u61qc8ey 8 24 determining determine VBG cord-126419-u61qc8ey 8 25 the the DT cord-126419-u61qc8ey 8 26 future future JJ cord-126419-u61qc8ey 8 27 evolution evolution NN cord-126419-u61qc8ey 8 28 of of IN cord-126419-u61qc8ey 8 29 the the DT cord-126419-u61qc8ey 8 30 death death NN cord-126419-u61qc8ey 8 31 cases case NNS cord-126419-u61qc8ey 9 1 ( ( -LRB- cord-126419-u61qc8ey 9 2 Updated update VBN cord-126419-u61qc8ey 9 3 April April NNP cord-126419-u61qc8ey 9 4 02 02 CD cord-126419-u61qc8ey 9 5 ) ) -RRB- cord-126419-u61qc8ey 9 6 . . . cord-126419-u61qc8ey 10 1 The the DT cord-126419-u61qc8ey 10 2 fast fast JJ cord-126419-u61qc8ey 10 3 spread spread NN cord-126419-u61qc8ey 10 4 of of IN cord-126419-u61qc8ey 10 5 COVID-19 COVID-19 NNP cord-126419-u61qc8ey 10 6 ( ( -LRB- cord-126419-u61qc8ey 10 7 nearly nearly RB cord-126419-u61qc8ey 10 8 1 1 CD cord-126419-u61qc8ey 10 9 M m CD cord-126419-u61qc8ey 10 10 infected infect VBN cord-126419-u61qc8ey 10 11 cases case NNS cord-126419-u61qc8ey 10 12 till till IN cord-126419-u61qc8ey 10 13 April April NNP cord-126419-u61qc8ey 10 14 2nd 2nd NN cord-126419-u61qc8ey 10 15 , , , cord-126419-u61qc8ey 10 16 2020 2020 CD cord-126419-u61qc8ey 10 17 ) ) -RRB- cord-126419-u61qc8ey 10 18 has have VBZ cord-126419-u61qc8ey 10 19 caused cause VBN cord-126419-u61qc8ey 10 20 wide wide JJ cord-126419-u61qc8ey 10 21 concern concern NN cord-126419-u61qc8ey 10 22 . . . cord-126419-u61qc8ey 11 1 Within within IN cord-126419-u61qc8ey 11 2 the the DT cord-126419-u61qc8ey 11 3 basic basic JJ cord-126419-u61qc8ey 11 4 research research NN cord-126419-u61qc8ey 11 5 community community NN cord-126419-u61qc8ey 11 6 , , , cord-126419-u61qc8ey 11 7 quite quite PDT cord-126419-u61qc8ey 11 8 a a DT cord-126419-u61qc8ey 11 9 few few JJ cord-126419-u61qc8ey 11 10 mathematical mathematical JJ cord-126419-u61qc8ey 11 11 and and CC cord-126419-u61qc8ey 11 12 physical physical JJ cord-126419-u61qc8ey 11 13 models model NNS cord-126419-u61qc8ey 11 14 have have VBP cord-126419-u61qc8ey 11 15 been be VBN cord-126419-u61qc8ey 11 16 proposed propose VBN cord-126419-u61qc8ey 11 17 [ [ -LRB- cord-126419-u61qc8ey 11 18 1 1 CD cord-126419-u61qc8ey 11 19 ] ] -RRB- cord-126419-u61qc8ey 11 20 [ [ -LRB- cord-126419-u61qc8ey 11 21 2 2 CD cord-126419-u61qc8ey 11 22 ] ] -RRB- cord-126419-u61qc8ey 11 23 [ [ -LRB- cord-126419-u61qc8ey 11 24 3 3 CD cord-126419-u61qc8ey 11 25 ] ] -RRB- cord-126419-u61qc8ey 11 26 [ [ -LRB- cord-126419-u61qc8ey 11 27 4 4 CD cord-126419-u61qc8ey 11 28 ] ] -RRB- cord-126419-u61qc8ey 12 1 to to TO cord-126419-u61qc8ey 12 2 study study VB cord-126419-u61qc8ey 12 3 the the DT cord-126419-u61qc8ey 12 4 evolution evolution NN cord-126419-u61qc8ey 12 5 of of IN cord-126419-u61qc8ey 12 6 the the DT cord-126419-u61qc8ey 12 7 infected infected JJ cord-126419-u61qc8ey 12 8 cases case NNS cord-126419-u61qc8ey 12 9 , , , cord-126419-u61qc8ey 12 10 aiming aim VBG cord-126419-u61qc8ey 12 11 to to TO cord-126419-u61qc8ey 12 12 make make VB cord-126419-u61qc8ey 12 13 reliable reliable JJ cord-126419-u61qc8ey 12 14 predictions prediction NNS cord-126419-u61qc8ey 12 15 and and CC cord-126419-u61qc8ey 12 16 to to TO cord-126419-u61qc8ey 12 17 help help VB cord-126419-u61qc8ey 12 18 the the DT cord-126419-u61qc8ey 12 19 governments government NNS cord-126419-u61qc8ey 12 20 to to TO cord-126419-u61qc8ey 12 21 make make VB cord-126419-u61qc8ey 12 22 proper proper JJ cord-126419-u61qc8ey 12 23 strategic strategic JJ cord-126419-u61qc8ey 12 24 preparedness preparedness NN cord-126419-u61qc8ey 12 25 and and CC cord-126419-u61qc8ey 12 26 response response NN cord-126419-u61qc8ey 12 27 plans plan NNS cord-126419-u61qc8ey 12 28 . . . cord-126419-u61qc8ey 13 1 We -PRON- PRP cord-126419-u61qc8ey 13 2 deem deem VBP cord-126419-u61qc8ey 13 3 it -PRON- PRP cord-126419-u61qc8ey 13 4 is be VBZ cord-126419-u61qc8ey 13 5 of of IN cord-126419-u61qc8ey 13 6 special special JJ cord-126419-u61qc8ey 13 7 importance importance NN cord-126419-u61qc8ey 13 8 to to TO cord-126419-u61qc8ey 13 9 study study VB cord-126419-u61qc8ey 13 10 the the DT cord-126419-u61qc8ey 13 11 COVID-19 covid-19 JJ cord-126419-u61qc8ey 13 12 spreading spreading NN cord-126419-u61qc8ey 13 13 in in IN cord-126419-u61qc8ey 13 14 Sweden Sweden NNP cord-126419-u61qc8ey 13 15 where where WRB cord-126419-u61qc8ey 13 16 , , , cord-126419-u61qc8ey 13 17 unlike unlike IN cord-126419-u61qc8ey 13 18 other other JJ cord-126419-u61qc8ey 13 19 countries country NNS cord-126419-u61qc8ey 13 20 , , , cord-126419-u61qc8ey 13 21 the the DT cord-126419-u61qc8ey 13 22 government government NN cord-126419-u61qc8ey 13 23 is be VBZ cord-126419-u61qc8ey 13 24 taking take VBG cord-126419-u61qc8ey 13 25 a a DT cord-126419-u61qc8ey 13 26 rather rather RB cord-126419-u61qc8ey 13 27 relaxed relaxed JJ cord-126419-u61qc8ey 13 28 strategy strategy NN cord-126419-u61qc8ey 13 29 with with IN cord-126419-u61qc8ey 13 30 no no DT cord-126419-u61qc8ey 13 31 massive massive JJ cord-126419-u61qc8ey 13 32 testing testing NN cord-126419-u61qc8ey 13 33 on on IN cord-126419-u61qc8ey 13 34 suspected suspect VBN cord-126419-u61qc8ey 13 35 individuals individual NNS cord-126419-u61qc8ey 13 36 and and CC cord-126419-u61qc8ey 13 37 no no DT cord-126419-u61qc8ey 13 38 strict strict JJ cord-126419-u61qc8ey 13 39 lockdown lockdown NN cord-126419-u61qc8ey 13 40 in in IN cord-126419-u61qc8ey 13 41 her -PRON- PRP$ cord-126419-u61qc8ey 13 42 most most RBS cord-126419-u61qc8ey 13 43 affected affected JJ cord-126419-u61qc8ey 13 44 regions region NNS cord-126419-u61qc8ey 13 45 . . . cord-126419-u61qc8ey 14 1 We -PRON- PRP cord-126419-u61qc8ey 14 2 start start VBP cord-126419-u61qc8ey 14 3 by by IN cord-126419-u61qc8ey 14 4 introducing introduce VBG cord-126419-u61qc8ey 14 5 the the DT cord-126419-u61qc8ey 14 6 SIR SIR NNP cord-126419-u61qc8ey 14 7 ( ( -LRB- cord-126419-u61qc8ey 14 8 susceptible susceptible JJ cord-126419-u61qc8ey 14 9 - - HYPH cord-126419-u61qc8ey 14 10 infectedrecovered infectedrecovered JJ cord-126419-u61qc8ey 14 11 ) ) -RRB- cord-126419-u61qc8ey 14 12 model model NN cord-126419-u61qc8ey 14 13 which which WDT cord-126419-u61qc8ey 14 14 is be VBZ cord-126419-u61qc8ey 14 15 widely widely RB cord-126419-u61qc8ey 14 16 used use VBN cord-126419-u61qc8ey 14 17 for for IN cord-126419-u61qc8ey 14 18 virus virus NN cord-126419-u61qc8ey 14 19 spreading spread VBG cord-126419-u61qc8ey 14 20 predictions prediction NNS cord-126419-u61qc8ey 14 21 [ [ -LRB- cord-126419-u61qc8ey 14 22 5 5 CD cord-126419-u61qc8ey 14 23 , , , cord-126419-u61qc8ey 14 24 6 6 CD cord-126419-u61qc8ey 14 25 ] ] -RRB- cord-126419-u61qc8ey 14 26 . . . cord-126419-u61qc8ey 15 1 It -PRON- PRP cord-126419-u61qc8ey 15 2 consists consist VBZ cord-126419-u61qc8ey 15 3 of of IN cord-126419-u61qc8ey 15 4 a a DT cord-126419-u61qc8ey 15 5 system system NN cord-126419-u61qc8ey 15 6 of of IN cord-126419-u61qc8ey 15 7 three three CD cord-126419-u61qc8ey 15 8 time time NN cord-126419-u61qc8ey 15 9 - - HYPH cord-126419-u61qc8ey 15 10 dependent dependent JJ cord-126419-u61qc8ey 15 11 variables variable NNS cord-126419-u61qc8ey 15 12 : : : cord-126419-u61qc8ey 16 1 • • NNP cord-126419-u61qc8ey 17 1 Infected infected JJ cord-126419-u61qc8ey 17 2 cases case NNS cord-126419-u61qc8ey 17 3 ( ( -LRB- cord-126419-u61qc8ey 17 4 number number NN cord-126419-u61qc8ey 17 5 of of IN cord-126419-u61qc8ey 17 6 total total JJ cord-126419-u61qc8ey 17 7 infected infected JJ cord-126419-u61qc8ey 17 8 individuals individual NNS cord-126419-u61qc8ey 17 9 at at IN cord-126419-u61qc8ey 17 10 given give VBN cord-126419-u61qc8ey 17 11 time time NN cord-126419-u61qc8ey 17 12 ) ) -RRB- cord-126419-u61qc8ey 17 13 , , , cord-126419-u61qc8ey 17 14 I(t I(t NNP cord-126419-u61qc8ey 17 15 ) ) -RRB- cord-126419-u61qc8ey 17 16 . . . cord-126419-u61qc8ey 18 1 • • NNP cord-126419-u61qc8ey 19 1 Susceptible susceptible JJ cord-126419-u61qc8ey 19 2 cases case NNS cord-126419-u61qc8ey 19 3 ( ( -LRB- cord-126419-u61qc8ey 19 4 number number NN cord-126419-u61qc8ey 19 5 of of IN cord-126419-u61qc8ey 19 6 individuals individual NNS cord-126419-u61qc8ey 19 7 susceptible susceptible JJ cord-126419-u61qc8ey 19 8 of of IN cord-126419-u61qc8ey 19 9 contracting contract VBG cord-126419-u61qc8ey 19 10 the the DT cord-126419-u61qc8ey 19 11 infection infection NN cord-126419-u61qc8ey 19 12 ) ) -RRB- cord-126419-u61qc8ey 19 13 , , , cord-126419-u61qc8ey 19 14 S(t S(t NNP cord-126419-u61qc8ey 19 15 ) ) -RRB- cord-126419-u61qc8ey 19 16 . . . cord-126419-u61qc8ey 20 1 • • NNP cord-126419-u61qc8ey 21 1 Recovered recover VBN cord-126419-u61qc8ey 21 2 cases case NNS cord-126419-u61qc8ey 21 3 ( ( -LRB- cord-126419-u61qc8ey 21 4 cumulative cumulative JJ cord-126419-u61qc8ey 21 5 number number NN cord-126419-u61qc8ey 21 6 of of IN cord-126419-u61qc8ey 21 7 recovered recover VBN cord-126419-u61qc8ey 21 8 individuals individual NNS cord-126419-u61qc8ey 21 9 ) ) -RRB- cord-126419-u61qc8ey 21 10 , , , cord-126419-u61qc8ey 21 11 R(t R(t NNP cord-126419-u61qc8ey 21 12 ) ) -RRB- cord-126419-u61qc8ey 21 13 . . . cord-126419-u61qc8ey 22 1 One one PRP cord-126419-u61qc8ey 22 2 has have VBZ cord-126419-u61qc8ey 22 3 in in IN cord-126419-u61qc8ey 22 4 total total JJ cord-126419-u61qc8ey 22 5 N n NN cord-126419-u61qc8ey 22 6 = = SYM cord-126419-u61qc8ey 22 7 S(t S(t NNP cord-126419-u61qc8ey 22 8 ) ) -RRB- cord-126419-u61qc8ey 23 1 + + CC cord-126419-u61qc8ey 23 2 I(t I(t NNP cord-126419-u61qc8ey 23 3 ) ) -RRB- cord-126419-u61qc8ey 24 1 + + CC cord-126419-u61qc8ey 24 2 R(t r(t NN cord-126419-u61qc8ey 24 3 ) ) -RRB- cord-126419-u61qc8ey 24 4 . . . cord-126419-u61qc8ey 25 1 Above above IN cord-126419-u61qc8ey 25 2 quantities quantity NNS cord-126419-u61qc8ey 25 3 satisfy satisfy VBP cord-126419-u61qc8ey 25 4 the the DT cord-126419-u61qc8ey 25 5 following follow VBG cord-126419-u61qc8ey 25 6 non non JJ cord-126419-u61qc8ey 25 7 - - JJ cord-126419-u61qc8ey 25 8 linear linear JJ cord-126419-u61qc8ey 25 9 differential differential JJ cord-126419-u61qc8ey 25 10 equations equation NNS cord-126419-u61qc8ey 25 11 where where WRB cord-126419-u61qc8ey 25 12 λ λ NNP cord-126419-u61qc8ey 25 13 is be VBZ cord-126419-u61qc8ey 25 14 the the DT cord-126419-u61qc8ey 25 15 transmission transmission NN cord-126419-u61qc8ey 25 16 rate rate NN cord-126419-u61qc8ey 25 17 , , , cord-126419-u61qc8ey 25 18 β β FW cord-126419-u61qc8ey 25 19 the the DT cord-126419-u61qc8ey 25 20 recovery recovery NN cord-126419-u61qc8ey 25 21 rate rate NN cord-126419-u61qc8ey 25 22 . . . cord-126419-u61qc8ey 26 1 They -PRON- PRP cord-126419-u61qc8ey 26 2 can can MD cord-126419-u61qc8ey 26 3 be be VB cord-126419-u61qc8ey 26 4 parametrized parametrize VBN cord-126419-u61qc8ey 26 5 using use VBG cord-126419-u61qc8ey 26 6 known know VBN cord-126419-u61qc8ey 26 7 infection infection NN cord-126419-u61qc8ey 26 8 data datum NNS cord-126419-u61qc8ey 26 9 . . . cord-126419-u61qc8ey 27 1 It -PRON- PRP cord-126419-u61qc8ey 27 2 should should MD cord-126419-u61qc8ey 27 3 be be VB cord-126419-u61qc8ey 27 4 straightforward straightforward JJ cord-126419-u61qc8ey 27 5 to to TO cord-126419-u61qc8ey 27 6 extend extend VB cord-126419-u61qc8ey 27 7 the the DT cord-126419-u61qc8ey 27 8 models model NNS cord-126419-u61qc8ey 27 9 to to TO cord-126419-u61qc8ey 27 10 include include VB cord-126419-u61qc8ey 27 11 deceased deceased JJ cord-126419-u61qc8ey 27 12 cases case NNS cord-126419-u61qc8ey 27 13 in in IN cord-126419-u61qc8ey 27 14 the the DT cord-126419-u61qc8ey 27 15 form form NN cord-126419-u61qc8ey 28 1 dD dD NNP cord-126419-u61qc8ey 28 2 dt dt NNP cord-126419-u61qc8ey 28 3 = = NN cord-126419-u61qc8ey 28 4 νI νi NN cord-126419-u61qc8ey 28 5 ( ( -LRB- cord-126419-u61qc8ey 28 6 2 2 CD cord-126419-u61qc8ey 28 7 ) ) -RRB- cord-126419-u61qc8ey 28 8 and and CC cord-126419-u61qc8ey 28 9 the the DT cord-126419-u61qc8ey 28 10 exposed expose VBN cord-126419-u61qc8ey 28 11 cases case NNS cord-126419-u61qc8ey 28 12 ( ( -LRB- cord-126419-u61qc8ey 28 13 individuals individual NNS cord-126419-u61qc8ey 28 14 who who WP cord-126419-u61qc8ey 28 15 are be VBP cord-126419-u61qc8ey 28 16 already already RB cord-126419-u61qc8ey 28 17 infected infect VBN cord-126419-u61qc8ey 28 18 but but CC cord-126419-u61qc8ey 28 19 asymptomatic asymptomatic JJ cord-126419-u61qc8ey 28 20 ) ) -RRB- cord-126419-u61qc8ey 29 1 If if IN cord-126419-u61qc8ey 29 2 the the DT cord-126419-u61qc8ey 29 3 recovery recovery NN cord-126419-u61qc8ey 29 4 rate rate NN cord-126419-u61qc8ey 29 5 is be VBZ cord-126419-u61qc8ey 29 6 very very RB cord-126419-u61qc8ey 29 7 low low JJ cord-126419-u61qc8ey 29 8 during during IN cord-126419-u61qc8ey 29 9 the the DT cord-126419-u61qc8ey 29 10 pandemic pandemic NN cord-126419-u61qc8ey 29 11 time time NN cord-126419-u61qc8ey 29 12 interval interval NN cord-126419-u61qc8ey 29 13 ( ( -LRB- cord-126419-u61qc8ey 29 14 as as IN cord-126419-u61qc8ey 29 15 it -PRON- PRP cord-126419-u61qc8ey 29 16 is be VBZ cord-126419-u61qc8ey 29 17 indeed indeed RB cord-126419-u61qc8ey 29 18 the the DT cord-126419-u61qc8ey 29 19 case case NN cord-126419-u61qc8ey 29 20 for for IN cord-126419-u61qc8ey 29 21 COVID-19 covid-19 CD cord-126419-u61qc8ey 29 22 upto upto NNS cord-126419-u61qc8ey 29 23 now now RB cord-126419-u61qc8ey 29 24 ) ) -RRB- cord-126419-u61qc8ey 29 25 , , , cord-126419-u61qc8ey 29 26 we -PRON- PRP cord-126419-u61qc8ey 29 27 can can MD cord-126419-u61qc8ey 29 28 well well RB cord-126419-u61qc8ey 29 29 approximate approximate VB cord-126419-u61qc8ey 29 30 the the DT cord-126419-u61qc8ey 29 31 infected infected JJ cord-126419-u61qc8ey 29 32 cases case NNS cord-126419-u61qc8ey 29 33 by by IN cord-126419-u61qc8ey 29 34 with with IN cord-126419-u61qc8ey 29 35 initial initial JJ cord-126419-u61qc8ey 29 36 value value NN cord-126419-u61qc8ey 30 1 I(0 I(0 NNP cord-126419-u61qc8ey 30 2 ) ) -RRB- cord-126419-u61qc8ey 30 3 = = SYM cord-126419-u61qc8ey 30 4 1 1 CD cord-126419-u61qc8ey 30 5 . . . cord-126419-u61qc8ey 31 1 For for IN cord-126419-u61qc8ey 31 2 such such JJ cord-126419-u61qc8ey 31 3 SI SI NNP cord-126419-u61qc8ey 31 4 model model NN cord-126419-u61qc8ey 31 5 , , , cord-126419-u61qc8ey 31 6 the the DT cord-126419-u61qc8ey 31 7 solution solution NN cord-126419-u61qc8ey 31 8 can can MD cord-126419-u61qc8ey 31 9 be be VB cord-126419-u61qc8ey 31 10 derived derive VBN cord-126419-u61qc8ey 31 11 analytically analytically RB cord-126419-u61qc8ey 31 12 , , , cord-126419-u61qc8ey 31 13 This this DT cord-126419-u61qc8ey 31 14 function function NN cord-126419-u61qc8ey 31 15 is be VBZ cord-126419-u61qc8ey 31 16 known know VBN cord-126419-u61qc8ey 31 17 as as IN cord-126419-u61qc8ey 31 18 Woods Woods NNP cord-126419-u61qc8ey 31 19 - - HYPH cord-126419-u61qc8ey 31 20 Saxon Saxon NNP cord-126419-u61qc8ey 31 21 form form NN cord-126419-u61qc8ey 31 22 in in IN cord-126419-u61qc8ey 31 23 nuclear nuclear JJ cord-126419-u61qc8ey 31 24 physics physics NN cord-126419-u61qc8ey 31 25 and and CC cord-126419-u61qc8ey 31 26 is be VBZ cord-126419-u61qc8ey 31 27 widely widely RB cord-126419-u61qc8ey 31 28 used use VBN cord-126419-u61qc8ey 31 29 describing describe VBG cord-126419-u61qc8ey 31 30 nuclear nuclear JJ cord-126419-u61qc8ey 31 31 potential potential NN cord-126419-u61qc8ey 31 32 and and CC cord-126419-u61qc8ey 31 33 matter matter NN cord-126419-u61qc8ey 31 34 distribution distribution NN cord-126419-u61qc8ey 31 35 . . . cord-126419-u61qc8ey 32 1 We -PRON- PRP cord-126419-u61qc8ey 32 2 can can MD cord-126419-u61qc8ey 32 3 write write VB cord-126419-u61qc8ey 32 4 it -PRON- PRP cord-126419-u61qc8ey 32 5 in in IN cord-126419-u61qc8ey 32 6 a a DT cord-126419-u61qc8ey 32 7 more more RBR cord-126419-u61qc8ey 32 8 general general JJ cord-126419-u61qc8ey 32 9 form form NN cord-126419-u61qc8ey 32 10 by by IN cord-126419-u61qc8ey 32 11 introducing introduce VBG cord-126419-u61qc8ey 32 12 one one CD cord-126419-u61qc8ey 32 13 more more JJR cord-126419-u61qc8ey 32 14 parameter parameter NN cord-126419-u61qc8ey 32 15 as as IN cord-126419-u61qc8ey 32 16 For for IN cord-126419-u61qc8ey 32 17 such such JJ cord-126419-u61qc8ey 32 18 SI SI NNP cord-126419-u61qc8ey 32 19 model model NN cord-126419-u61qc8ey 32 20 , , , cord-126419-u61qc8ey 32 21 the the DT cord-126419-u61qc8ey 32 22 solution solution NN cord-126419-u61qc8ey 32 23 can can MD cord-126419-u61qc8ey 32 24 be be VB cord-126419-u61qc8ey 32 25 derived derive VBN cord-126419-u61qc8ey 32 26 analytically analytically RB cord-126419-u61qc8ey 32 27 , , , cord-126419-u61qc8ey 32 28 where where WRB cord-126419-u61qc8ey 32 29 d d NNP cord-126419-u61qc8ey 32 30 describes describe VBZ cord-126419-u61qc8ey 32 31 the the DT cord-126419-u61qc8ey 32 32 diffuseness diffuseness NN cord-126419-u61qc8ey 32 33 . . . cord-126419-u61qc8ey 33 1 We -PRON- PRP cord-126419-u61qc8ey 33 2 apply apply VBP cord-126419-u61qc8ey 33 3 above above IN cord-126419-u61qc8ey 33 4 formula formula NN cord-126419-u61qc8ey 33 5 to to TO cord-126419-u61qc8ey 33 6 study study VB cord-126419-u61qc8ey 33 7 the the DT cord-126419-u61qc8ey 33 8 reported report VBN cord-126419-u61qc8ey 33 9 cases case NNS cord-126419-u61qc8ey 33 10 in in IN cord-126419-u61qc8ey 33 11 Sweden Sweden NNP cord-126419-u61qc8ey 33 12 as as IN cord-126419-u61qc8ey 33 13 a a DT cord-126419-u61qc8ey 33 14 function function NN cord-126419-u61qc8ey 33 15 of of IN cord-126419-u61qc8ey 33 16 time time NN cord-126419-u61qc8ey 33 17 in in IN cord-126419-u61qc8ey 33 18 Fig Fig NNP cord-126419-u61qc8ey 33 19 . . . cord-126419-u61qc8ey 34 1 II II NNP cord-126419-u61qc8ey 34 2 . . . cord-126419-u61qc8ey 35 1 We -PRON- PRP cord-126419-u61qc8ey 35 2 firstly firstly RB cord-126419-u61qc8ey 35 3 assume assume VBP cord-126419-u61qc8ey 35 4 that that IN cord-126419-u61qc8ey 35 5 the the DT cord-126419-u61qc8ey 35 6 death death NN cord-126419-u61qc8ey 35 7 cases case NNS cord-126419-u61qc8ey 35 8 follow follow VBP cord-126419-u61qc8ey 35 9 the the DT cord-126419-u61qc8ey 35 10 same same JJ cord-126419-u61qc8ey 35 11 Woods Woods NNP cord-126419-u61qc8ey 35 12 - - HYPH cord-126419-u61qc8ey 35 13 Saxon Saxon NNP cord-126419-u61qc8ey 35 14 form form NN cord-126419-u61qc8ey 35 15 where where WRB cord-126419-u61qc8ey 35 16 the the DT cord-126419-u61qc8ey 35 17 three three CD cord-126419-u61qc8ey 35 18 parameters parameter NNS cord-126419-u61qc8ey 35 19 can can MD cord-126419-u61qc8ey 35 20 be be VB cord-126419-u61qc8ey 35 21 fitted fit VBN cord-126419-u61qc8ey 35 22 separately separately RB cord-126419-u61qc8ey 35 23 to to IN cord-126419-u61qc8ey 35 24 reported report VBN cord-126419-u61qc8ey 35 25 data datum NNS cord-126419-u61qc8ey 35 26 by by IN cord-126419-u61qc8ey 35 27 taking take VBG cord-126419-u61qc8ey 35 28 into into IN cord-126419-u61qc8ey 35 29 account account NN cord-126419-u61qc8ey 35 30 the the DT cord-126419-u61qc8ey 35 31 time time NN cord-126419-u61qc8ey 35 32 interval interval NN cord-126419-u61qc8ey 35 33 between between IN cord-126419-u61qc8ey 35 34 infection infection NN cord-126419-u61qc8ey 35 35 and and CC cord-126419-u61qc8ey 35 36 death death NN cord-126419-u61qc8ey 35 37 dates date NNS cord-126419-u61qc8ey 35 38 . . . cord-126419-u61qc8ey 36 1 The the DT cord-126419-u61qc8ey 36 2 result result NN cord-126419-u61qc8ey 36 3 is be VBZ cord-126419-u61qc8ey 36 4 given give VBN cord-126419-u61qc8ey 36 5 in in IN cord-126419-u61qc8ey 36 6 Fig Fig NNP cord-126419-u61qc8ey 36 7 . . . cord-126419-u61qc8ey 37 1 2 2 LS cord-126419-u61qc8ey 37 2 . . . cord-126419-u61qc8ey 38 1 We -PRON- PRP cord-126419-u61qc8ey 38 2 should should MD cord-126419-u61qc8ey 38 3 emphasize emphasize VB cord-126419-u61qc8ey 38 4 that that IN cord-126419-u61qc8ey 38 5 the the DT cord-126419-u61qc8ey 38 6 uncertainty uncertainty NN cord-126419-u61qc8ey 38 7 in in IN cord-126419-u61qc8ey 38 8 the the DT cord-126419-u61qc8ey 38 9 model model NN cord-126419-u61qc8ey 38 10 is be VBZ cord-126419-u61qc8ey 38 11 very very RB cord-126419-u61qc8ey 38 12 large large JJ cord-126419-u61qc8ey 38 13 due due IN cord-126419-u61qc8ey 38 14 to to IN cord-126419-u61qc8ey 38 15 the the DT cord-126419-u61qc8ey 38 16 limited limited JJ cord-126419-u61qc8ey 38 17 data datum NNS cord-126419-u61qc8ey 38 18 available available JJ cord-126419-u61qc8ey 38 19 . . . cord-126419-u61qc8ey 39 1 We -PRON- PRP cord-126419-u61qc8ey 39 2 were be VBD cord-126419-u61qc8ey 39 3 very very RB cord-126419-u61qc8ey 39 4 optimistic optimistic JJ cord-126419-u61qc8ey 39 5 when when WRB cord-126419-u61qc8ey 39 6 we -PRON- PRP cord-126419-u61qc8ey 39 7 first first RB cord-126419-u61qc8ey 39 8 derived derive VBD cord-126419-u61qc8ey 39 9 the the DT cord-126419-u61qc8ey 39 10 curve curve NN cord-126419-u61qc8ey 39 11 from from IN cord-126419-u61qc8ey 39 12 data datum NNS cord-126419-u61qc8ey 39 13 back back RB cord-126419-u61qc8ey 39 14 by by IN cord-126419-u61qc8ey 39 15 two two CD cord-126419-u61qc8ey 39 16 days day NNS cord-126419-u61qc8ey 39 17 which which WDT cord-126419-u61qc8ey 39 18 was be VBD cord-126419-u61qc8ey 39 19 very very RB cord-126419-u61qc8ey 39 20 different different JJ cord-126419-u61qc8ey 39 21 with with IN cord-126419-u61qc8ey 39 22 modest modest JJ cord-126419-u61qc8ey 39 23 increases increase NNS cord-126419-u61qc8ey 39 24 , , , cord-126419-u61qc8ey 39 25 as as IN cord-126419-u61qc8ey 39 26 can can MD cord-126419-u61qc8ey 39 27 be be VB cord-126419-u61qc8ey 39 28 seen see VBN cord-126419-u61qc8ey 39 29 in in IN cord-126419-u61qc8ey 39 30 Fig Fig NNP cord-126419-u61qc8ey 39 31 . . . cord-126419-u61qc8ey 39 32 _SP cord-126419-u61qc8ey 40 1 3 3 LS cord-126419-u61qc8ey 40 2 . . . cord-126419-u61qc8ey 41 1 The the DT cord-126419-u61qc8ey 41 2 above above IN cord-126419-u61qc8ey 41 3 Woods Woods NNP cord-126419-u61qc8ey 41 4 - - HYPH cord-126419-u61qc8ey 41 5 Saxon Saxon NNP cord-126419-u61qc8ey 41 6 function function NN cord-126419-u61qc8ey 41 7 seems seem VBZ cord-126419-u61qc8ey 41 8 to to TO cord-126419-u61qc8ey 41 9 agree agree VB cord-126419-u61qc8ey 41 10 rather rather RB cord-126419-u61qc8ey 41 11 well well RB cord-126419-u61qc8ey 41 12 with with IN cord-126419-u61qc8ey 41 13 the the DT cord-126419-u61qc8ey 41 14 data datum NNS cord-126419-u61qc8ey 41 15 on on IN cord-126419-u61qc8ey 41 16 reported report VBN cord-126419-u61qc8ey 41 17 COVID-19 covid-19 JJ cord-126419-u61qc8ey 41 18 death death NN cord-126419-u61qc8ey 41 19 cases case NNS cord-126419-u61qc8ey 41 20 from from IN cord-126419-u61qc8ey 41 21 China China NNP cord-126419-u61qc8ey 41 22 where where WRB cord-126419-u61qc8ey 41 23 the the DT cord-126419-u61qc8ey 41 24 pandemic pandemic JJ cord-126419-u61qc8ey 41 25 period period NN cord-126419-u61qc8ey 41 26 may may MD cord-126419-u61qc8ey 41 27 be be VB cord-126419-u61qc8ey 41 28 expected expect VBN cord-126419-u61qc8ey 41 29 to to TO cord-126419-u61qc8ey 41 30 be be VB cord-126419-u61qc8ey 41 31 over over RB cord-126419-u61qc8ey 41 32 . . . cord-126419-u61qc8ey 42 1 It -PRON- PRP cord-126419-u61qc8ey 42 2 may may MD cord-126419-u61qc8ey 42 3 , , , cord-126419-u61qc8ey 42 4 however however RB cord-126419-u61qc8ey 42 5 , , , cord-126419-u61qc8ey 42 6 not not RB cord-126419-u61qc8ey 42 7 expected expect VBN cord-126419-u61qc8ey 42 8 to to TO cord-126419-u61qc8ey 42 9 work work VB cord-126419-u61qc8ey 42 10 well well RB cord-126419-u61qc8ey 42 11 within within IN cord-126419-u61qc8ey 42 12 the the DT cord-126419-u61qc8ey 42 13 late late JJ cord-126419-u61qc8ey 42 14 stage stage NN cord-126419-u61qc8ey 42 15 of of IN cord-126419-u61qc8ey 42 16 the the DT cord-126419-u61qc8ey 42 17 pandemic pandemic JJ cord-126419-u61qc8ey 42 18 period period NN cord-126419-u61qc8ey 42 19 when when WRB cord-126419-u61qc8ey 42 20 the the DT cord-126419-u61qc8ey 42 21 total total JJ cord-126419-u61qc8ey 42 22 infected infected JJ cord-126419-u61qc8ey 42 23 cases case NNS cord-126419-u61qc8ey 42 24 show show VBP cord-126419-u61qc8ey 42 25 a a DT cord-126419-u61qc8ey 42 26 saturation saturation NN cord-126419-u61qc8ey 42 27 behavior behavior NN cord-126419-u61qc8ey 42 28 . . . cord-126419-u61qc8ey 43 1 Therefore therefore RB cord-126419-u61qc8ey 43 2 we -PRON- PRP cord-126419-u61qc8ey 43 3 insert insert VBP cord-126419-u61qc8ey 43 4 Eq Eq NNP cord-126419-u61qc8ey 43 5 . . . cord-126419-u61qc8ey 44 1 ( ( -LRB- cord-126419-u61qc8ey 44 2 6 6 CD cord-126419-u61qc8ey 44 3 ) ) -RRB- cord-126419-u61qc8ey 44 4 to to IN cord-126419-u61qc8ey 44 5 Eq Eq NNP cord-126419-u61qc8ey 44 6 . . . cord-126419-u61qc8ey 45 1 ( ( -LRB- cord-126419-u61qc8ey 45 2 3 3 LS cord-126419-u61qc8ey 45 3 ) ) -RRB- cord-126419-u61qc8ey 45 4 to to TO cord-126419-u61qc8ey 45 5 see see VB cord-126419-u61qc8ey 45 6 if if IN cord-126419-u61qc8ey 45 7 we -PRON- PRP cord-126419-u61qc8ey 45 8 can can MD cord-126419-u61qc8ey 45 9 get get VB cord-126419-u61qc8ey 45 10 a a DT cord-126419-u61qc8ey 45 11 better well JJR cord-126419-u61qc8ey 45 12 estimation estimation NN cord-126419-u61qc8ey 45 13 on on IN cord-126419-u61qc8ey 45 14 D. D. NNP cord-126419-u61qc8ey 46 1 The the DT cord-126419-u61qc8ey 46 2 integral integral NN cord-126419-u61qc8ey 46 3 of of IN cord-126419-u61qc8ey 46 4 I(t I(t NNP cord-126419-u61qc8ey 46 5 ) ) -RRB- cord-126419-u61qc8ey 46 6 reads read VBZ cord-126419-u61qc8ey 46 7 Therefore therefore RB cord-126419-u61qc8ey 46 8 , , , cord-126419-u61qc8ey 46 9 we -PRON- PRP cord-126419-u61qc8ey 46 10 can can MD cord-126419-u61qc8ey 46 11 propose propose VB cord-126419-u61qc8ey 46 12 a a DT cord-126419-u61qc8ey 46 13 second second JJ cord-126419-u61qc8ey 46 14 form form NN cord-126419-u61qc8ey 46 15 for for IN cord-126419-u61qc8ey 46 16 the the DT cord-126419-u61qc8ey 46 17 evolution evolution NN cord-126419-u61qc8ey 46 18 of of IN cord-126419-u61qc8ey 46 19 D D NNP cord-126419-u61qc8ey 46 20 D(t D(t NNP cord-126419-u61qc8ey 46 21 ) ) -RRB- cord-126419-u61qc8ey 46 22 = = NFP cord-126419-u61qc8ey 47 1 a a DT cord-126419-u61qc8ey 47 2 ln ln NN cord-126419-u61qc8ey 47 3 e e NN cord-126419-u61qc8ey 47 4 t t NN cord-126419-u61qc8ey 47 5 0 0 CD cord-126419-u61qc8ey 47 6 −t −t NNP cord-126419-u61qc8ey 48 1 d d NNP cord-126419-u61qc8ey 49 1 The the DT cord-126419-u61qc8ey 49 2 result result NN cord-126419-u61qc8ey 49 3 is be VBZ cord-126419-u61qc8ey 49 4 given give VBN cord-126419-u61qc8ey 49 5 in in IN cord-126419-u61qc8ey 49 6 Fig Fig NNP cord-126419-u61qc8ey 49 7 . . . cord-126419-u61qc8ey 50 1 4 4 LS cord-126419-u61qc8ey 50 2 where where WRB cord-126419-u61qc8ey 50 3 a a DT cord-126419-u61qc8ey 50 4 modest modest JJ cord-126419-u61qc8ey 50 5 increase increase NN cord-126419-u61qc8ey 50 6 is be VBZ cord-126419-u61qc8ey 50 7 predicted predict VBN cord-126419-u61qc8ey 50 8 . . . cord-126419-u61qc8ey 51 1 However however RB cord-126419-u61qc8ey 51 2 , , , cord-126419-u61qc8ey 51 3 again again RB cord-126419-u61qc8ey 51 4 , , , cord-126419-u61qc8ey 51 5 the the DT cord-126419-u61qc8ey 51 6 data datum NNS cord-126419-u61qc8ey 51 7 from from IN cord-126419-u61qc8ey 51 8 the the DT cord-126419-u61qc8ey 51 9 last last JJ cord-126419-u61qc8ey 51 10 two two CD cord-126419-u61qc8ey 51 11 days day NNS cord-126419-u61qc8ey 51 12 show show VBP cord-126419-u61qc8ey 51 13 significant significant JJ cord-126419-u61qc8ey 51 14 deviation deviation NN cord-126419-u61qc8ey 51 15 from from IN cord-126419-u61qc8ey 51 16 the the DT cord-126419-u61qc8ey 51 17 predicted predict VBN cord-126419-u61qc8ey 51 18 curve curve NN cord-126419-u61qc8ey 51 19 . . . cord-126419-u61qc8ey 52 1 New new JJ cord-126419-u61qc8ey 52 2 data datum NNS cord-126419-u61qc8ey 52 3 from from IN cord-126419-u61qc8ey 52 4 the the DT cord-126419-u61qc8ey 52 5 next next JJ cord-126419-u61qc8ey 52 6 few few JJ cord-126419-u61qc8ey 52 7 days day NNS cord-126419-u61qc8ey 52 8 can can MD cord-126419-u61qc8ey 52 9 be be VB cord-126419-u61qc8ey 52 10 critical critical JJ cord-126419-u61qc8ey 52 11 in in IN cord-126419-u61qc8ey 52 12 pining pine VBG cord-126419-u61qc8ey 52 13 down down IN cord-126419-u61qc8ey 52 14 the the DT cord-126419-u61qc8ey 52 15 uncertainty uncertainty NN cord-126419-u61qc8ey 52 16 in in IN cord-126419-u61qc8ey 52 17 the the DT cord-126419-u61qc8ey 52 18 predicted predict VBN cord-126419-u61qc8ey 52 19 behavior behavior NN cord-126419-u61qc8ey 52 20 . . . cord-126419-u61qc8ey 52 21 _SP cord-126419-u61qc8ey 53 1 We -PRON- PRP cord-126419-u61qc8ey 53 2 now now RB cord-126419-u61qc8ey 53 3 include include VBP cord-126419-u61qc8ey 53 4 the the DT cord-126419-u61qc8ey 53 5 recovery recovery NN cord-126419-u61qc8ey 53 6 cases case NNS cord-126419-u61qc8ey 53 7 in in IN cord-126419-u61qc8ey 53 8 above above JJ cord-126419-u61qc8ey 53 9 SI SI NNP cord-126419-u61qc8ey 53 10 model model NN cord-126419-u61qc8ey 53 11 . . . cord-126419-u61qc8ey 54 1 There there EX cord-126419-u61qc8ey 54 2 is be VBZ cord-126419-u61qc8ey 54 3 no no DT cord-126419-u61qc8ey 54 4 analytical analytical JJ cord-126419-u61qc8ey 54 5 solution solution NN cord-126419-u61qc8ey 54 6 but but CC cord-126419-u61qc8ey 54 7 the the DT cord-126419-u61qc8ey 54 8 evolution evolution NN cord-126419-u61qc8ey 54 9 of of IN cord-126419-u61qc8ey 54 10 the the DT cord-126419-u61qc8ey 54 11 SIR SIR NNP cord-126419-u61qc8ey 54 12 quantities quantity NNS cord-126419-u61qc8ey 54 13 can can MD cord-126419-u61qc8ey 54 14 be be VB cord-126419-u61qc8ey 54 15 done do VBN cord-126419-u61qc8ey 54 16 numerically numerically RB cord-126419-u61qc8ey 54 17 . . . cord-126419-u61qc8ey 55 1 The the DT cord-126419-u61qc8ey 55 2 result result NN cord-126419-u61qc8ey 55 3 as as IN cord-126419-u61qc8ey 55 4 of of IN cord-126419-u61qc8ey 55 5 April April NNP cord-126419-u61qc8ey 55 6 01 01 CD cord-126419-u61qc8ey 55 7 is be VBZ cord-126419-u61qc8ey 55 8 given give VBN cord-126419-u61qc8ey 55 9 in in IN cord-126419-u61qc8ey 55 10 Fig Fig NNP cord-126419-u61qc8ey 55 11 . . . cord-126419-u61qc8ey 56 1 5 5 CD cord-126419-u61qc8ey 56 2 _SP cord-126419-u61qc8ey 57 1 What what WP cord-126419-u61qc8ey 57 2 we -PRON- PRP cord-126419-u61qc8ey 57 3 can can MD cord-126419-u61qc8ey 57 4 see see VB cord-126419-u61qc8ey 57 5 from from IN cord-126419-u61qc8ey 57 6 above above IN cord-126419-u61qc8ey 57 7 simulation simulation NN cord-126419-u61qc8ey 57 8 is be VBZ cord-126419-u61qc8ey 57 9 that that IN cord-126419-u61qc8ey 57 10 the the DT cord-126419-u61qc8ey 57 11 recovery recovery NN cord-126419-u61qc8ey 57 12 rate rate NN cord-126419-u61qc8ey 57 13 will will MD cord-126419-u61qc8ey 57 14 remain remain VB cord-126419-u61qc8ey 57 15 very very RB cord-126419-u61qc8ey 57 16 low low JJ cord-126419-u61qc8ey 57 17 during during IN cord-126419-u61qc8ey 57 18 the the DT cord-126419-u61qc8ey 57 19 expected expect VBN cord-126419-u61qc8ey 57 20 pandemic pandemic NN cord-126419-u61qc8ey 57 21 time time NN cord-126419-u61qc8ey 57 22 interval interval NN cord-126419-u61qc8ey 57 23 . . . cord-126419-u61qc8ey 58 1 Instead instead RB cord-126419-u61qc8ey 58 2 we -PRON- PRP cord-126419-u61qc8ey 58 3 now now RB cord-126419-u61qc8ey 58 4 include include VBP cord-126419-u61qc8ey 58 5 the the DT cord-126419-u61qc8ey 58 6 reported report VBN cord-126419-u61qc8ey 58 7 death death NN cord-126419-u61qc8ey 58 8 cases case NNS cord-126419-u61qc8ey 58 9 in in IN cord-126419-u61qc8ey 58 10 above above IN cord-126419-u61qc8ey 58 11 SIR SIR NNP cord-126419-u61qc8ey 58 12 model model NN cord-126419-u61qc8ey 58 13 by by IN cord-126419-u61qc8ey 58 14 replacing replace VBG cord-126419-u61qc8ey 58 15 the the DT cord-126419-u61qc8ey 58 16 quantity quantity NN cord-126419-u61qc8ey 58 17 R r NN cord-126419-u61qc8ey 58 18 with with IN cord-126419-u61qc8ey 58 19 D. D. NNP cord-126419-u61qc8ey 59 1 The the DT cord-126419-u61qc8ey 59 2 result result NN cord-126419-u61qc8ey 59 3 as as IN cord-126419-u61qc8ey 59 4 of of IN cord-126419-u61qc8ey 59 5 April April NNP cord-126419-u61qc8ey 59 6 01 01 CD cord-126419-u61qc8ey 59 7 is be VBZ cord-126419-u61qc8ey 59 8 given give VBN cord-126419-u61qc8ey 59 9 in in IN cord-126419-u61qc8ey 59 10 Fig Fig NNP cord-126419-u61qc8ey 59 11 . . . cord-126419-u61qc8ey 60 1 6 6 LS cord-126419-u61qc8ey 60 2 . . . cord-126419-u61qc8ey 61 1 The the DT cord-126419-u61qc8ey 61 2 projected project VBN cord-126419-u61qc8ey 61 3 death death NN cord-126419-u61qc8ey 61 4 cases case NNS cord-126419-u61qc8ey 61 5 are be VBP cord-126419-u61qc8ey 61 6 again again RB cord-126419-u61qc8ey 61 7 very very RB cord-126419-u61qc8ey 61 8 large large JJ cord-126419-u61qc8ey 61 9 and and CC cord-126419-u61qc8ey 61 10 are be VBP cord-126419-u61qc8ey 61 11 more more JJR cord-126419-u61qc8ey 61 12 than than IN cord-126419-u61qc8ey 61 13 3000 3000 CD cord-126419-u61qc8ey 61 14 . . . cord-126419-u61qc8ey 62 1 Our -PRON- PRP$ cord-126419-u61qc8ey 62 2 simulations simulation NNS cord-126419-u61qc8ey 62 3 show show VBP cord-126419-u61qc8ey 62 4 that that IN cord-126419-u61qc8ey 62 5 all all DT cord-126419-u61qc8ey 62 6 SI SI NNP cord-126419-u61qc8ey 62 7 , , , cord-126419-u61qc8ey 62 8 SIR SIR NNP cord-126419-u61qc8ey 62 9 , , , cord-126419-u61qc8ey 62 10 SID SID NNP cord-126419-u61qc8ey 62 11 models model NNS cord-126419-u61qc8ey 62 12 describe describe VBP cord-126419-u61qc8ey 62 13 well well RB cord-126419-u61qc8ey 62 14 the the DT cord-126419-u61qc8ey 62 15 reported report VBN cord-126419-u61qc8ey 62 16 infected infected JJ cord-126419-u61qc8ey 62 17 cases case NNS cord-126419-u61qc8ey 62 18 show show VBP cord-126419-u61qc8ey 62 19 rather rather RB cord-126419-u61qc8ey 62 20 modest modest JJ cord-126419-u61qc8ey 62 21 increase increase NN cord-126419-u61qc8ey 62 22 in in IN cord-126419-u61qc8ey 62 23 the the DT cord-126419-u61qc8ey 62 24 near near JJ cord-126419-u61qc8ey 62 25 future future NN cord-126419-u61qc8ey 62 26 which which WDT cord-126419-u61qc8ey 62 27 is be VBZ cord-126419-u61qc8ey 62 28 very very RB cord-126419-u61qc8ey 62 29 promising promising JJ cord-126419-u61qc8ey 62 30 . . . cord-126419-u61qc8ey 63 1 However however RB cord-126419-u61qc8ey 63 2 , , , cord-126419-u61qc8ey 63 3 the the DT cord-126419-u61qc8ey 63 4 projected project VBN cord-126419-u61qc8ey 63 5 deceased deceased JJ cord-126419-u61qc8ey 63 6 cases case NNS cord-126419-u61qc8ey 63 7 in in IN cord-126419-u61qc8ey 63 8 both both CC cord-126419-u61qc8ey 63 9 SI SI NNP cord-126419-u61qc8ey 63 10 and and CC cord-126419-u61qc8ey 63 11 SID SID NNP cord-126419-u61qc8ey 63 12 models model NNS cord-126419-u61qc8ey 63 13 are be VBP cord-126419-u61qc8ey 63 14 extremely extremely RB cord-126419-u61qc8ey 63 15 high high JJ cord-126419-u61qc8ey 63 16 even even RB cord-126419-u61qc8ey 63 17 though though IN cord-126419-u61qc8ey 63 18 the the DT cord-126419-u61qc8ey 63 19 uncertainty uncertainty NN cord-126419-u61qc8ey 63 20 is be VBZ cord-126419-u61qc8ey 63 21 astonishingly astonishingly RB cord-126419-u61qc8ey 63 22 large large JJ cord-126419-u61qc8ey 63 23 . . . cord-126419-u61qc8ey 64 1 We -PRON- PRP cord-126419-u61qc8ey 64 2 deem deem VBP cord-126419-u61qc8ey 64 3 it -PRON- PRP cord-126419-u61qc8ey 64 4 urgent urgent JJ cord-126419-u61qc8ey 64 5 to to TO cord-126419-u61qc8ey 64 6 explore explore VB cord-126419-u61qc8ey 64 7 the the DT cord-126419-u61qc8ey 64 8 uncertainty uncertainty NN cord-126419-u61qc8ey 64 9 of of IN cord-126419-u61qc8ey 64 10 our -PRON- PRP$ cord-126419-u61qc8ey 64 11 model model NN cord-126419-u61qc8ey 64 12 . . . cord-126419-u61qc8ey 65 1 The the DT cord-126419-u61qc8ey 65 2 new new JJ cord-126419-u61qc8ey 65 3 data datum NNS cord-126419-u61qc8ey 65 4 from from IN cord-126419-u61qc8ey 65 5 the the DT cord-126419-u61qc8ey 65 6 future future JJ cord-126419-u61qc8ey 65 7 few few JJ cord-126419-u61qc8ey 65 8 days day NNS cord-126419-u61qc8ey 65 9 can can MD cord-126419-u61qc8ey 65 10 be be VB cord-126419-u61qc8ey 65 11 critical critical JJ cord-126419-u61qc8ey 65 12 for for IN cord-126419-u61qc8ey 65 13 confining confine VBG cord-126419-u61qc8ey 65 14 the the DT cord-126419-u61qc8ey 65 15 predicted predict VBN cord-126419-u61qc8ey 65 16 curve curve NN cord-126419-u61qc8ey 65 17 on on IN cord-126419-u61qc8ey 65 18 decreased decreased JJ cord-126419-u61qc8ey 65 19 cases case NNS cord-126419-u61qc8ey 65 20 . . . cord-126419-u61qc8ey 66 1 If if IN cord-126419-u61qc8ey 66 2 the the DT cord-126419-u61qc8ey 66 3 model model NN cord-126419-u61qc8ey 66 4 is be VBZ cord-126419-u61qc8ey 66 5 correct correct JJ cord-126419-u61qc8ey 66 6 , , , cord-126419-u61qc8ey 66 7 one one PRP cord-126419-u61qc8ey 66 8 should should MD cord-126419-u61qc8ey 66 9 worry worry VB cord-126419-u61qc8ey 66 10 that that IN cord-126419-u61qc8ey 66 11 the the DT cord-126419-u61qc8ey 66 12 infected infected JJ cord-126419-u61qc8ey 66 13 cases case NNS cord-126419-u61qc8ey 66 14 in in IN cord-126419-u61qc8ey 66 15 Sweden Sweden NNP cord-126419-u61qc8ey 66 16 may may MD cord-126419-u61qc8ey 66 17 be be VB cord-126419-u61qc8ey 66 18 much much RB cord-126419-u61qc8ey 66 19 much much RB cord-126419-u61qc8ey 66 20 higher high JJR cord-126419-u61qc8ey 66 21 than than IN cord-126419-u61qc8ey 66 22 it -PRON- PRP cord-126419-u61qc8ey 66 23 is be VBZ cord-126419-u61qc8ey 66 24 reported report VBN cord-126419-u61qc8ey 66 25 today today NN cord-126419-u61qc8ey 66 26 and and CC cord-126419-u61qc8ey 66 27 a a DT cord-126419-u61qc8ey 66 28 massive massive JJ cord-126419-u61qc8ey 66 29 testing testing NN cord-126419-u61qc8ey 66 30 on on IN cord-126419-u61qc8ey 66 31 exposed expose VBN cord-126419-u61qc8ey 66 32 and and CC cord-126419-u61qc8ey 66 33 suspicious suspicious JJ cord-126419-u61qc8ey 66 34 cases case NNS cord-126419-u61qc8ey 66 35 may may MD cord-126419-u61qc8ey 66 36 be be VB cord-126419-u61qc8ey 66 37 urgent urgent JJ cord-126419-u61qc8ey 66 38 . . . cord-126419-u61qc8ey 67 1 Estimating estimate VBG cord-126419-u61qc8ey 67 2 the the DT cord-126419-u61qc8ey 67 3 number number NN cord-126419-u61qc8ey 67 4 of of IN cord-126419-u61qc8ey 67 5 infections infection NNS cord-126419-u61qc8ey 67 6 and and CC cord-126419-u61qc8ey 67 7 the the DT cord-126419-u61qc8ey 67 8 impact impact NN cord-126419-u61qc8ey 67 9 of of IN cord-126419-u61qc8ey 67 10 non non JJ cord-126419-u61qc8ey 67 11 - - JJ cord-126419-u61qc8ey 67 12 pharmaceutical pharmaceutical JJ cord-126419-u61qc8ey 67 13 interventions intervention NNS cord-126419-u61qc8ey 67 14 on on IN cord-126419-u61qc8ey 67 15 COVID-19 covid-19 CD cord-126419-u61qc8ey 67 16 in in IN cord-126419-u61qc8ey 67 17 11 11 CD cord-126419-u61qc8ey 67 18 European european JJ cord-126419-u61qc8ey 67 19 countries country NNS cord-126419-u61qc8ey 68 1 A a DT cord-126419-u61qc8ey 68 2 contribution contribution NN cord-126419-u61qc8ey 68 3 to to IN cord-126419-u61qc8ey 68 4 the the DT cord-126419-u61qc8ey 68 5 mathematical mathematical JJ cord-126419-u61qc8ey 68 6 theory theory NN cord-126419-u61qc8ey 68 7 of of IN cord-126419-u61qc8ey 68 8 epidemics epidemic NNS cord-126419-u61qc8ey 69 1 The the DT cord-126419-u61qc8ey 69 2 mathematical mathematical JJ cord-126419-u61qc8ey 69 3 theory theory NN cord-126419-u61qc8ey 69 4 of of IN cord-126419-u61qc8ey 69 5 infectious infectious JJ cord-126419-u61qc8ey 69 6 diseases disease NNS cord-126419-u61qc8ey 69 7 and and CC cord-126419-u61qc8ey 69 8 its -PRON- PRP$ cord-126419-u61qc8ey 69 9 applications application NNS