id sid tid token lemma pos cord-308505-nhcrbnfu 1 1 key key NN cord-308505-nhcrbnfu 1 2 : : : cord-308505-nhcrbnfu 2 1 cord-308505-nhcrbnfu cord-308505-nhcrbnfu NNP cord-308505-nhcrbnfu 2 2 authors author NNS cord-308505-nhcrbnfu 2 3 : : : cord-308505-nhcrbnfu 2 4 Vollmer Vollmer NNP cord-308505-nhcrbnfu 2 5 , , , cord-308505-nhcrbnfu 2 6 Robin Robin NNP cord-308505-nhcrbnfu 2 7 title title NN cord-308505-nhcrbnfu 2 8 : : : cord-308505-nhcrbnfu 3 1 Understanding understand VBG cord-308505-nhcrbnfu 3 2 the the DT cord-308505-nhcrbnfu 3 3 Dynamics Dynamics NNPS cord-308505-nhcrbnfu 3 4 of of IN cord-308505-nhcrbnfu 3 5 COVID-19 covid-19 CD cord-308505-nhcrbnfu 3 6 date date NN cord-308505-nhcrbnfu 3 7 : : : cord-308505-nhcrbnfu 3 8 2020 2020 CD cord-308505-nhcrbnfu 3 9 - - HYPH cord-308505-nhcrbnfu 3 10 04 04 CD cord-308505-nhcrbnfu 3 11 - - SYM cord-308505-nhcrbnfu 3 12 13 13 CD cord-308505-nhcrbnfu 3 13 journal journal NN cord-308505-nhcrbnfu 3 14 : : : cord-308505-nhcrbnfu 4 1 Am be VBP cord-308505-nhcrbnfu 4 2 J J NNP cord-308505-nhcrbnfu 4 3 Clin Clin NNP cord-308505-nhcrbnfu 4 4 Pathol Pathol NNP cord-308505-nhcrbnfu 4 5 DOI DOI NNP cord-308505-nhcrbnfu 4 6 : : : cord-308505-nhcrbnfu 4 7 10.1093 10.1093 CD cord-308505-nhcrbnfu 4 8 / / SYM cord-308505-nhcrbnfu 4 9 ajcp ajcp NNS cord-308505-nhcrbnfu 4 10 / / SYM cord-308505-nhcrbnfu 4 11 aqaa060 aqaa060 NNP cord-308505-nhcrbnfu 4 12 sha sha NNP cord-308505-nhcrbnfu 4 13 : : : cord-308505-nhcrbnfu 4 14 590684c81a18f0abbb09046e45f8233245111a61 590684c81a18f0abbb09046e45f8233245111a61 CD cord-308505-nhcrbnfu 4 15 doc_id doc_id CD cord-308505-nhcrbnfu 4 16 : : : cord-308505-nhcrbnfu 4 17 308505 308505 CD cord-308505-nhcrbnfu 4 18 cord_uid cord_uid NNS cord-308505-nhcrbnfu 4 19 : : : cord-308505-nhcrbnfu 4 20 nhcrbnfu nhcrbnfu NNP cord-308505-nhcrbnfu 4 21 nan nan NNP cord-308505-nhcrbnfu 5 1 Understanding understand VBG cord-308505-nhcrbnfu 5 2 the the DT cord-308505-nhcrbnfu 5 3 dynamics dynamic NNS cord-308505-nhcrbnfu 5 4 of of IN cord-308505-nhcrbnfu 5 5 an an DT cord-308505-nhcrbnfu 5 6 epidemic epidemic NN cord-308505-nhcrbnfu 5 7 such such JJ cord-308505-nhcrbnfu 5 8 as as IN cord-308505-nhcrbnfu 5 9 that that DT cord-308505-nhcrbnfu 5 10 caused cause VBN cord-308505-nhcrbnfu 5 11 by by IN cord-308505-nhcrbnfu 5 12 coronavirus coronavirus NN cord-308505-nhcrbnfu 5 13 disease disease NN cord-308505-nhcrbnfu 5 14 2019 2019 CD cord-308505-nhcrbnfu 5 15 ( ( -LRB- cord-308505-nhcrbnfu 5 16 COVID-19 COVID-19 NNP cord-308505-nhcrbnfu 5 17 ) ) -RRB- cord-308505-nhcrbnfu 5 18 requires require VBZ cord-308505-nhcrbnfu 5 19 some some DT cord-308505-nhcrbnfu 5 20 mathematics mathematic NNS cord-308505-nhcrbnfu 5 21 and and CC cord-308505-nhcrbnfu 5 22 some some DT cord-308505-nhcrbnfu 5 23 data datum NNS cord-308505-nhcrbnfu 5 24 . . . cord-308505-nhcrbnfu 6 1 For for IN cord-308505-nhcrbnfu 6 2 example example NN cord-308505-nhcrbnfu 6 3 , , , cord-308505-nhcrbnfu 6 4 in in IN cord-308505-nhcrbnfu 6 5 a a DT cord-308505-nhcrbnfu 6 6 population population NN cord-308505-nhcrbnfu 6 7 of of IN cord-308505-nhcrbnfu 6 8 N n CD cord-308505-nhcrbnfu 6 9 persons person NNS cord-308505-nhcrbnfu 6 10 let let VBD cord-308505-nhcrbnfu 6 11 Y Y NNP cord-308505-nhcrbnfu 6 12 symbolize symbolize VB cord-308505-nhcrbnfu 6 13 the the DT cord-308505-nhcrbnfu 6 14 number number NN cord-308505-nhcrbnfu 6 15 of of IN cord-308505-nhcrbnfu 6 16 infected infected JJ cord-308505-nhcrbnfu 6 17 persons person NNS cord-308505-nhcrbnfu 6 18 and and CC cord-308505-nhcrbnfu 6 19 X X NNS cord-308505-nhcrbnfu 6 20 symbolize symbolize VBP cord-308505-nhcrbnfu 6 21 the the DT cord-308505-nhcrbnfu 6 22 number number NN cord-308505-nhcrbnfu 6 23 of of IN cord-308505-nhcrbnfu 6 24 susceptible susceptible JJ cord-308505-nhcrbnfu 6 25 persons person NNS cord-308505-nhcrbnfu 6 26 , , , cord-308505-nhcrbnfu 6 27 then then RB cord-308505-nhcrbnfu 6 28 the the DT cord-308505-nhcrbnfu 6 29 change change NN cord-308505-nhcrbnfu 6 30 in in IN cord-308505-nhcrbnfu 6 31 the the DT cord-308505-nhcrbnfu 6 32 number number NN cord-308505-nhcrbnfu 6 33 of of IN cord-308505-nhcrbnfu 6 34 infected infected JJ cord-308505-nhcrbnfu 6 35 persons person NNS cord-308505-nhcrbnfu 6 36 per per IN cord-308505-nhcrbnfu 6 37 unit unit NN cord-308505-nhcrbnfu 6 38 time time NN cord-308505-nhcrbnfu 6 39 is be VBZ cord-308505-nhcrbnfu 6 40 given give VBN cord-308505-nhcrbnfu 6 41 as as IN cord-308505-nhcrbnfu 6 42 : : : cord-308505-nhcrbnfu 6 43 1 1 CD cord-308505-nhcrbnfu 7 1 Here here RB cord-308505-nhcrbnfu 7 2 , , , cord-308505-nhcrbnfu 7 3 c c NNP cord-308505-nhcrbnfu 7 4 symbolizes symbolize VBZ cord-308505-nhcrbnfu 7 5 the the DT cord-308505-nhcrbnfu 7 6 rate rate NN cord-308505-nhcrbnfu 7 7 of of IN cord-308505-nhcrbnfu 7 8 contact contact NN cord-308505-nhcrbnfu 7 9 , , , cord-308505-nhcrbnfu 7 10 p p NN cord-308505-nhcrbnfu 7 11 the the DT cord-308505-nhcrbnfu 7 12 transmission transmission NN cord-308505-nhcrbnfu 7 13 probability probability NN cord-308505-nhcrbnfu 7 14 , , , cord-308505-nhcrbnfu 7 15 and and CC cord-308505-nhcrbnfu 7 16 v v LS cord-308505-nhcrbnfu 7 17 the the DT cord-308505-nhcrbnfu 7 18 recovery recovery NN cord-308505-nhcrbnfu 7 19 rate rate NN cord-308505-nhcrbnfu 7 20 ( ( -LRB- cord-308505-nhcrbnfu 7 21 ie ie FW cord-308505-nhcrbnfu 7 22 , , , cord-308505-nhcrbnfu 7 23 1 1 CD cord-308505-nhcrbnfu 7 24 -the -the DT cord-308505-nhcrbnfu 7 25 case case NN cord-308505-nhcrbnfu 7 26 fatality fatality NN cord-308505-nhcrbnfu 7 27 rate rate NN cord-308505-nhcrbnfu 7 28 ) ) -RRB- cord-308505-nhcrbnfu 7 29 . . . cord-308505-nhcrbnfu 8 1 By by IN cord-308505-nhcrbnfu 8 2 letting let VBG cord-308505-nhcrbnfu 8 3 X x NN cord-308505-nhcrbnfu 8 4 = = SYM cord-308505-nhcrbnfu 8 5 N n NN cord-308505-nhcrbnfu 8 6 -Y -Y NNP cord-308505-nhcrbnfu 8 7 , , , cord-308505-nhcrbnfu 8 8 the the DT cord-308505-nhcrbnfu 8 9 equation equation NN cord-308505-nhcrbnfu 8 10 can can MD cord-308505-nhcrbnfu 8 11 be be VB cord-308505-nhcrbnfu 8 12 rewritten rewrite VBN cord-308505-nhcrbnfu 8 13 in in IN cord-308505-nhcrbnfu 8 14 the the DT cord-308505-nhcrbnfu 8 15 form form NN cord-308505-nhcrbnfu 8 16 : : : cord-308505-nhcrbnfu 8 17 with with IN cord-308505-nhcrbnfu 8 18 a a DT cord-308505-nhcrbnfu 8 19 = = SYM cord-308505-nhcrbnfu 8 20 c*p c*p NN cord-308505-nhcrbnfu 8 21 -v -v : cord-308505-nhcrbnfu 8 22 and and CC cord-308505-nhcrbnfu 8 23 with with IN cord-308505-nhcrbnfu 8 24 b b NN cord-308505-nhcrbnfu 8 25 = = NFP cord-308505-nhcrbnfu 9 1 ( ( -LRB- cord-308505-nhcrbnfu 9 2 a a DT cord-308505-nhcrbnfu 9 3 + + NN cord-308505-nhcrbnfu 10 1 v)/N. v)/N. . cord-308505-nhcrbnfu 11 1 The the DT cord-308505-nhcrbnfu 11 2 solution solution NN cord-308505-nhcrbnfu 11 3 to to IN cord-308505-nhcrbnfu 11 4 this this DT cord-308505-nhcrbnfu 11 5 differential differential JJ cord-308505-nhcrbnfu 11 6 equation equation NN cord-308505-nhcrbnfu 11 7 is be VBZ cord-308505-nhcrbnfu 11 8 2 2 CD cord-308505-nhcrbnfu 11 9 : : : cord-308505-nhcrbnfu 11 10 with with IN cord-308505-nhcrbnfu 11 11 Y(0 Y(0 NNP cord-308505-nhcrbnfu 11 12 ) ) -RRB- cord-308505-nhcrbnfu 11 13 denoting denote VBG cord-308505-nhcrbnfu 11 14 the the DT cord-308505-nhcrbnfu 11 15 number number NN cord-308505-nhcrbnfu 11 16 infected infect VBN cord-308505-nhcrbnfu 11 17 at at IN cord-308505-nhcrbnfu 11 18 time time NN cord-308505-nhcrbnfu 11 19 zero zero CD cord-308505-nhcrbnfu 12 1 and and CC cord-308505-nhcrbnfu 12 2 Y(t y(t NN cord-308505-nhcrbnfu 12 3 ) ) -RRB- cord-308505-nhcrbnfu 12 4 the the DT cord-308505-nhcrbnfu 12 5 number number NN cord-308505-nhcrbnfu 12 6 infected infect VBN cord-308505-nhcrbnfu 12 7 at at IN cord-308505-nhcrbnfu 12 8 time time NN cord-308505-nhcrbnfu 12 9 t. t. NNP cord-308505-nhcrbnfu 13 1 In in IN cord-308505-nhcrbnfu 13 2 what what WP cord-308505-nhcrbnfu 13 3 follows follow VBZ cord-308505-nhcrbnfu 13 4 I -PRON- PRP cord-308505-nhcrbnfu 13 5 illustrate illustrate VBP cord-308505-nhcrbnfu 13 6 this this DT cord-308505-nhcrbnfu 13 7 approach approach NN cord-308505-nhcrbnfu 13 8 with with IN cord-308505-nhcrbnfu 13 9 data datum NNS cord-308505-nhcrbnfu 13 10 reported report VBN cord-308505-nhcrbnfu 13 11 by by IN cord-308505-nhcrbnfu 13 12 Jondavid Jondavid NNP cord-308505-nhcrbnfu 13 13 Klipp Klipp NNP cord-308505-nhcrbnfu 13 14 ( ( -LRB- cord-308505-nhcrbnfu 13 15 jondavid@laboratoryecomics jondavid@laboratoryecomic NNS cord-308505-nhcrbnfu 13 16 . . . cord-308505-nhcrbnfu 14 1 ccsen.com ccsen.com ADD cord-308505-nhcrbnfu 14 2 ) ) -RRB- cord-308505-nhcrbnfu 15 1 regarding regard VBG cord-308505-nhcrbnfu 15 2 the the DT cord-308505-nhcrbnfu 15 3 cruise cruise NN cord-308505-nhcrbnfu 15 4 ship ship NN cord-308505-nhcrbnfu 15 5 Diamond Diamond NNP cord-308505-nhcrbnfu 15 6 Princess Princess NNP cord-308505-nhcrbnfu 15 7 , , , cord-308505-nhcrbnfu 15 8 which which WDT cord-308505-nhcrbnfu 15 9 took take VBD cord-308505-nhcrbnfu 15 10 on on RP cord-308505-nhcrbnfu 15 11 a a DT cord-308505-nhcrbnfu 15 12 single single JJ cord-308505-nhcrbnfu 15 13 infected infected JJ cord-308505-nhcrbnfu 15 14 passenger passenger NN cord-308505-nhcrbnfu 15 15 from from IN cord-308505-nhcrbnfu 15 16 Hong Hong NNP cord-308505-nhcrbnfu 15 17 Kong Kong NNP cord-308505-nhcrbnfu 15 18 . . . cord-308505-nhcrbnfu 16 1 Subsequently subsequently RB cord-308505-nhcrbnfu 16 2 , , , cord-308505-nhcrbnfu 16 3 all all DT cord-308505-nhcrbnfu 16 4 on on IN cord-308505-nhcrbnfu 16 5 board board NN cord-308505-nhcrbnfu 16 6 were be VBD cord-308505-nhcrbnfu 16 7 tested test VBN cord-308505-nhcrbnfu 16 8 for for IN cord-308505-nhcrbnfu 16 9 COVID-19 COVID-19 NNP cord-308505-nhcrbnfu 16 10 , , , cord-308505-nhcrbnfu 16 11 and and CC cord-308505-nhcrbnfu 16 12 712 712 CD cord-308505-nhcrbnfu 16 13 of of IN cord-308505-nhcrbnfu 16 14 the the DT cord-308505-nhcrbnfu 16 15 3,711 3,711 CD cord-308505-nhcrbnfu 16 16 persons person NNS cord-308505-nhcrbnfu 16 17 on on IN cord-308505-nhcrbnfu 16 18 board board NN cord-308505-nhcrbnfu 16 19 tested test VBD cord-308505-nhcrbnfu 16 20 positive positive JJ cord-308505-nhcrbnfu 16 21 after after IN cord-308505-nhcrbnfu 16 22 being be VBG cord-308505-nhcrbnfu 16 23 forced force VBN cord-308505-nhcrbnfu 16 24 to to TO cord-308505-nhcrbnfu 16 25 remain remain VB cord-308505-nhcrbnfu 16 26 on on IN cord-308505-nhcrbnfu 16 27 board board NN cord-308505-nhcrbnfu 16 28 for for IN cord-308505-nhcrbnfu 16 29 a a DT cord-308505-nhcrbnfu 16 30 month month NN cord-308505-nhcrbnfu 16 31 . . . cord-308505-nhcrbnfu 17 1 Ten ten CD cord-308505-nhcrbnfu 17 2 died die VBD cord-308505-nhcrbnfu 17 3 . . . cord-308505-nhcrbnfu 18 1 Thus thus RB cord-308505-nhcrbnfu 18 2 , , , cord-308505-nhcrbnfu 18 3 values value NNS cord-308505-nhcrbnfu 18 4 for for IN cord-308505-nhcrbnfu 18 5 N N NNP cord-308505-nhcrbnfu 18 6 , , , cord-308505-nhcrbnfu 18 7 Y Y NNP cord-308505-nhcrbnfu 18 8 , , , cord-308505-nhcrbnfu 18 9 X X NNP cord-308505-nhcrbnfu 18 10 , , , cord-308505-nhcrbnfu 18 11 t t NN cord-308505-nhcrbnfu 18 12 , , , cord-308505-nhcrbnfu 18 13 and and CC cord-308505-nhcrbnfu 18 14 v v LS cord-308505-nhcrbnfu 18 15 were be VBD cord-308505-nhcrbnfu 18 16 known know VBN cord-308505-nhcrbnfu 18 17 . . . cord-308505-nhcrbnfu 19 1 Using use VBG cord-308505-nhcrbnfu 19 2 a a DT cord-308505-nhcrbnfu 19 3 value value NN cord-308505-nhcrbnfu 19 4 of of IN cord-308505-nhcrbnfu 19 5 approximately approximately RB cord-308505-nhcrbnfu 19 6 1.3 1.3 CD cord-308505-nhcrbnfu 19 7 for for IN cord-308505-nhcrbnfu 19 8 the the DT cord-308505-nhcrbnfu 19 9 product product NN cord-308505-nhcrbnfu 19 10 c*p c*p NNS cord-308505-nhcrbnfu 19 11 , , , cord-308505-nhcrbnfu 19 12 the the DT cord-308505-nhcrbnfu 19 13 prediction prediction NN cord-308505-nhcrbnfu 19 14 for for IN cord-308505-nhcrbnfu 19 15 Y Y NNP cord-308505-nhcrbnfu 19 16 at at IN cord-308505-nhcrbnfu 19 17 30 30 CD cord-308505-nhcrbnfu 19 18 days day NNS cord-308505-nhcrbnfu 19 19 was be VBD cord-308505-nhcrbnfu 19 20 712 712 CD cord-308505-nhcrbnfu 19 21 , , , cord-308505-nhcrbnfu 19 22 which which WDT cord-308505-nhcrbnfu 19 23 equaled equal VBD cord-308505-nhcrbnfu 19 24 that that DT cord-308505-nhcrbnfu 19 25 observed observe VBN cord-308505-nhcrbnfu 19 26 , , , cord-308505-nhcrbnfu 19 27 and and CC cord-308505-nhcrbnfu 19 28 ❚ ❚ NFP cord-308505-nhcrbnfu 19 29 Figure figure NN cord-308505-nhcrbnfu 19 30 1 1 CD cord-308505-nhcrbnfu 19 31 ❚ ❚ NFP cord-308505-nhcrbnfu 19 32 shows show VBZ cord-308505-nhcrbnfu 19 33 a a DT cord-308505-nhcrbnfu 19 34 plot plot NN cord-308505-nhcrbnfu 19 35 of of IN cord-308505-nhcrbnfu 19 36 predicted predict VBN cord-308505-nhcrbnfu 19 37 values value NNS cord-308505-nhcrbnfu 19 38 of of IN cord-308505-nhcrbnfu 19 39 Y Y NNP cord-308505-nhcrbnfu 19 40 over over IN cord-308505-nhcrbnfu 19 41 a a DT cord-308505-nhcrbnfu 19 42 course course NN cord-308505-nhcrbnfu 19 43 of of IN cord-308505-nhcrbnfu 19 44 50 50 CD cord-308505-nhcrbnfu 19 45 days day NNS cord-308505-nhcrbnfu 19 46 ( ( -LRB- cord-308505-nhcrbnfu 19 47 the the DT cord-308505-nhcrbnfu 19 48 point point NN cord-308505-nhcrbnfu 19 49 is be VBZ cord-308505-nhcrbnfu 19 50 for for IN cord-308505-nhcrbnfu 19 51 the the DT cord-308505-nhcrbnfu 19 52 time time NN cord-308505-nhcrbnfu 19 53 of of IN cord-308505-nhcrbnfu 19 54 30 30 CD cord-308505-nhcrbnfu 19 55 days day NNS cord-308505-nhcrbnfu 19 56 when when WRB cord-308505-nhcrbnfu 19 57 the the DT cord-308505-nhcrbnfu 19 58 passengers passenger NNS cord-308505-nhcrbnfu 19 59 left leave VBD cord-308505-nhcrbnfu 19 60 the the DT cord-308505-nhcrbnfu 19 61 ship ship NN cord-308505-nhcrbnfu 19 62 ) ) -RRB- cord-308505-nhcrbnfu 19 63 . . . cord-308505-nhcrbnfu 20 1 The the DT cord-308505-nhcrbnfu 20 2 logic logic NN cord-308505-nhcrbnfu 20 3 used use VBN cord-308505-nhcrbnfu 20 4 in in IN cord-308505-nhcrbnfu 20 5 equation equation NN cord-308505-nhcrbnfu 20 6 1 1 CD cord-308505-nhcrbnfu 20 7 clearly clearly RB cord-308505-nhcrbnfu 20 8 implies imply VBZ cord-308505-nhcrbnfu 20 9 that that IN cord-308505-nhcrbnfu 20 10 the the DT cord-308505-nhcrbnfu 20 11 product product NN cord-308505-nhcrbnfu 20 12 c*p c*p VBZ cord-308505-nhcrbnfu 20 13 relates relate VBZ cord-308505-nhcrbnfu 20 14 closely closely RB cord-308505-nhcrbnfu 20 15 to to IN cord-308505-nhcrbnfu 20 16 how how WRB cord-308505-nhcrbnfu 20 17 fast fast RB cord-308505-nhcrbnfu 20 18 a a DT cord-308505-nhcrbnfu 20 19 population population NN cord-308505-nhcrbnfu 20 20 becomes become VBZ cord-308505-nhcrbnfu 20 21 infected infect VBN cord-308505-nhcrbnfu 20 22 , , , cord-308505-nhcrbnfu 20 23 and and CC cord-308505-nhcrbnfu 20 24 this this DT cord-308505-nhcrbnfu 20 25 in in IN cord-308505-nhcrbnfu 20 26 turn turn NN cord-308505-nhcrbnfu 20 27 depends depend VBZ cord-308505-nhcrbnfu 20 28 on on IN cord-308505-nhcrbnfu 20 29 a a DT cord-308505-nhcrbnfu 20 30 number number NN cord-308505-nhcrbnfu 20 31 of of IN cord-308505-nhcrbnfu 20 32 factors factor NNS cord-308505-nhcrbnfu 20 33 including include VBG cord-308505-nhcrbnfu 20 34 patient patient JJ cord-308505-nhcrbnfu 20 35 ages age NNS cord-308505-nhcrbnfu 20 36 , , , cord-308505-nhcrbnfu 20 37 comorbidities comorbiditie NNS cord-308505-nhcrbnfu 20 38 , , , cord-308505-nhcrbnfu 20 39 geographical geographical JJ cord-308505-nhcrbnfu 20 40 population population NN cord-308505-nhcrbnfu 20 41 densities density NNS cord-308505-nhcrbnfu 20 42 and and CC cord-308505-nhcrbnfu 20 43 , , , cord-308505-nhcrbnfu 20 44 of of IN cord-308505-nhcrbnfu 20 45 course course NN cord-308505-nhcrbnfu 20 46 , , , cord-308505-nhcrbnfu 20 47 the the DT cord-308505-nhcrbnfu 20 48 virus virus NN cord-308505-nhcrbnfu 20 49 . . . cord-308505-nhcrbnfu 21 1 The the DT cord-308505-nhcrbnfu 21 2 value value NN cord-308505-nhcrbnfu 21 3 of of IN cord-308505-nhcrbnfu 21 4 approximately approximately RB cord-308505-nhcrbnfu 21 5 1.3 1.3 CD cord-308505-nhcrbnfu 21 6 for for IN cord-308505-nhcrbnfu 21 7 c*p c*p NNS cord-308505-nhcrbnfu 21 8 in in IN cord-308505-nhcrbnfu 21 9 the the DT cord-308505-nhcrbnfu 21 10 Diamond Diamond NNP cord-308505-nhcrbnfu 21 11 Princess Princess NNP cord-308505-nhcrbnfu 21 12 population population NN cord-308505-nhcrbnfu 21 13 may may MD cord-308505-nhcrbnfu 21 14 be be VB cord-308505-nhcrbnfu 21 15 high high JJ cord-308505-nhcrbnfu 21 16 for for IN cord-308505-nhcrbnfu 21 17 COVID-19 COVID-19 NNP cord-308505-nhcrbnfu 21 18 , , , cord-308505-nhcrbnfu 21 19 because because IN cord-308505-nhcrbnfu 21 20 the the DT cord-308505-nhcrbnfu 21 21 geography geography NN cord-308505-nhcrbnfu 21 22 of of IN cord-308505-nhcrbnfu 21 23 this this DT cord-308505-nhcrbnfu 21 24 population population NN cord-308505-nhcrbnfu 21 25 was be VBD cord-308505-nhcrbnfu 21 26 so so RB cord-308505-nhcrbnfu 21 27 restricted restricted JJ cord-308505-nhcrbnfu 21 28 and and CC cord-308505-nhcrbnfu 21 29 because because IN cord-308505-nhcrbnfu 21 30 many many JJ cord-308505-nhcrbnfu 21 31 passengers passenger NNS cord-308505-nhcrbnfu 21 32 were be VBD cord-308505-nhcrbnfu 21 33 older old JJR cord-308505-nhcrbnfu 21 34 . . . cord-308505-nhcrbnfu 22 1 Only only RB cord-308505-nhcrbnfu 22 2 follow follow NN cord-308505-nhcrbnfu 22 3 - - HYPH cord-308505-nhcrbnfu 22 4 up up NN cord-308505-nhcrbnfu 22 5 studies study NNS cord-308505-nhcrbnfu 22 6 as as IN cord-308505-nhcrbnfu 22 7 the the DT cord-308505-nhcrbnfu 22 8 epidemic epidemic NN cord-308505-nhcrbnfu 22 9 matures mature VBZ cord-308505-nhcrbnfu 22 10 will will MD cord-308505-nhcrbnfu 22 11 provide provide VB cord-308505-nhcrbnfu 22 12 additional additional JJ cord-308505-nhcrbnfu 22 13 estimates estimate NNS cord-308505-nhcrbnfu 22 14 of of IN cord-308505-nhcrbnfu 22 15 c*p c*p NNS cord-308505-nhcrbnfu 22 16 . . . cord-308505-nhcrbnfu 23 1 The the DT cord-308505-nhcrbnfu 23 2 Diamond Diamond NNP cord-308505-nhcrbnfu 23 3 Princess Princess NNP cord-308505-nhcrbnfu 23 4 data datum NNS cord-308505-nhcrbnfu 23 5 also also RB cord-308505-nhcrbnfu 23 6 suggest suggest VBP cord-308505-nhcrbnfu 23 7 that that IN cord-308505-nhcrbnfu 23 8 many many JJ cord-308505-nhcrbnfu 23 9 cases case NNS cord-308505-nhcrbnfu 23 10 are be VBP cord-308505-nhcrbnfu 23 11 asymptomatic asymptomatic JJ cord-308505-nhcrbnfu 23 12 . . . cord-308505-nhcrbnfu 24 1 Thus thus RB cord-308505-nhcrbnfu 24 2 , , , cord-308505-nhcrbnfu 24 3 the the DT cord-308505-nhcrbnfu 24 4 widely widely RB cord-308505-nhcrbnfu 24 5 reported report VBN cord-308505-nhcrbnfu 24 6 numbers number NNS cord-308505-nhcrbnfu 24 7 of of IN cord-308505-nhcrbnfu 24 8 new new JJ cord-308505-nhcrbnfu 24 9 cases case NNS cord-308505-nhcrbnfu 24 10 could could MD cord-308505-nhcrbnfu 24 11 omit omit VB cord-308505-nhcrbnfu 24 12 cases case NNS cord-308505-nhcrbnfu 24 13 who who WP cord-308505-nhcrbnfu 24 14 were be VBD cord-308505-nhcrbnfu 24 15 asymptomatic asymptomatic JJ cord-308505-nhcrbnfu 24 16 and and CC cord-308505-nhcrbnfu 24 17 therefore therefore RB cord-308505-nhcrbnfu 24 18 not not RB cord-308505-nhcrbnfu 24 19 tested test VBN cord-308505-nhcrbnfu 24 20 . . . cord-308505-nhcrbnfu 25 1 This this DT cord-308505-nhcrbnfu 25 2 in in IN cord-308505-nhcrbnfu 25 3 turn turn NN cord-308505-nhcrbnfu 25 4 could could MD cord-308505-nhcrbnfu 25 5 yield yield VB cord-308505-nhcrbnfu 25 6 higher high JJR cord-308505-nhcrbnfu 25 7 case case NN cord-308505-nhcrbnfu 25 8 fatality fatality NN cord-308505-nhcrbnfu 25 9 rates rate NNS cord-308505-nhcrbnfu 25 10 and and CC cord-308505-nhcrbnfu 25 11 therefore therefore RB cord-308505-nhcrbnfu 25 12 smaller small JJR cord-308505-nhcrbnfu 25 13 estimates estimate NNS cord-308505-nhcrbnfu 25 14 of of IN cord-308505-nhcrbnfu 25 15 the the DT cord-308505-nhcrbnfu 25 16 response response NN cord-308505-nhcrbnfu 25 17 rate rate NN cord-308505-nhcrbnfu 25 18 , , , cord-308505-nhcrbnfu 25 19 v v NN cord-308505-nhcrbnfu 25 20 , , , cord-308505-nhcrbnfu 25 21 than than IN cord-308505-nhcrbnfu 25 22 are be VBP cord-308505-nhcrbnfu 25 23 realistic realistic JJ cord-308505-nhcrbnfu 25 24 . . . cord-308505-nhcrbnfu 26 1 Regardless regardless RB cord-308505-nhcrbnfu 26 2 , , , cord-308505-nhcrbnfu 26 3 the the DT cord-308505-nhcrbnfu 26 4 success success NN cord-308505-nhcrbnfu 26 5 for for IN cord-308505-nhcrbnfu 26 6 the the DT cord-308505-nhcrbnfu 26 7 logistic logistic JJ cord-308505-nhcrbnfu 26 8 growth growth NN cord-308505-nhcrbnfu 26 9 model model NN cord-308505-nhcrbnfu 26 10 applied apply VBN cord-308505-nhcrbnfu 26 11 here here RB cord-308505-nhcrbnfu 26 12 to to IN cord-308505-nhcrbnfu 26 13 COVID-19 covid-19 VB cord-308505-nhcrbnfu 26 14 suggests suggest VBZ cord-308505-nhcrbnfu 26 15 that that IN cord-308505-nhcrbnfu 26 16 for for IN cord-308505-nhcrbnfu 26 17 many many JJ cord-308505-nhcrbnfu 26 18 populations population NNS cord-308505-nhcrbnfu 26 19 the the DT cord-308505-nhcrbnfu 26 20 number number NN cord-308505-nhcrbnfu 26 21 of of IN cord-308505-nhcrbnfu 26 22 infected infected JJ cord-308505-nhcrbnfu 26 23 may may MD cord-308505-nhcrbnfu 26 24 eventually eventually RB cord-308505-nhcrbnfu 26 25 reach reach VB cord-308505-nhcrbnfu 26 26 a a DT cord-308505-nhcrbnfu 26 27 limit limit NN cord-308505-nhcrbnfu 26 28 . . . cord-308505-nhcrbnfu 27 1 ❚ ❚ . cord-308505-nhcrbnfu 28 1 Figure1 Figure1 NNP cord-308505-nhcrbnfu 29 1 ❚ ❚ . cord-308505-nhcrbnfu 30 1 Plot plot NN cord-308505-nhcrbnfu 30 2 of of IN cord-308505-nhcrbnfu 30 3 the the DT cord-308505-nhcrbnfu 30 4 predicted predict VBN cord-308505-nhcrbnfu 30 5 number number NN cord-308505-nhcrbnfu 30 6 of of IN cord-308505-nhcrbnfu 30 7 infected infected JJ cord-308505-nhcrbnfu 30 8 persons person NNS cord-308505-nhcrbnfu 30 9 vs vs IN cord-308505-nhcrbnfu 30 10 days day NNS cord-308505-nhcrbnfu 30 11 on on IN cord-308505-nhcrbnfu 30 12 board board NN cord-308505-nhcrbnfu 30 13 the the DT cord-308505-nhcrbnfu 30 14 Diamond Diamond NNP cord-308505-nhcrbnfu 30 15 Princess Princess NNP cord-308505-nhcrbnfu 30 16 . . . cord-308505-nhcrbnfu 31 1 The the DT cord-308505-nhcrbnfu 31 2 predictions prediction NNS cord-308505-nhcrbnfu 31 3 come come VBP cord-308505-nhcrbnfu 31 4 from from IN cord-308505-nhcrbnfu 31 5 equation equation NN cord-308505-nhcrbnfu 31 6 3 3 CD cord-308505-nhcrbnfu 31 7 . . . cord-308505-nhcrbnfu 32 1 Concepts concept NNS cord-308505-nhcrbnfu 32 2 of of IN cord-308505-nhcrbnfu 32 3 infectious infectious JJ cord-308505-nhcrbnfu 32 4 disease disease NN cord-308505-nhcrbnfu 32 5 epidemiology epidemiology NN cord-308505-nhcrbnfu 32 6 Differential Differential NNP cord-308505-nhcrbnfu 32 7 Equations Equations NNPS cord-308505-nhcrbnfu 32 8 and and CC cord-308505-nhcrbnfu 32 9 Their -PRON- PRP$ cord-308505-nhcrbnfu 32 10 Applications application NNS