id sid tid token lemma pos cord-273199-xmq502gm 1 1 key key NN cord-273199-xmq502gm 1 2 : : : cord-273199-xmq502gm 1 3 cord-273199-xmq502gm cord-273199-xmq502gm CD cord-273199-xmq502gm 1 4 authors author NNS cord-273199-xmq502gm 1 5 : : : cord-273199-xmq502gm 1 6 Cherednik Cherednik NNP cord-273199-xmq502gm 1 7 , , , cord-273199-xmq502gm 1 8 I. I. NNP cord-273199-xmq502gm 1 9 title title NN cord-273199-xmq502gm 1 10 : : : cord-273199-xmq502gm 1 11 A a DT cord-273199-xmq502gm 1 12 surprising surprising JJ cord-273199-xmq502gm 1 13 formula formula NN cord-273199-xmq502gm 1 14 for for IN cord-273199-xmq502gm 1 15 the the DT cord-273199-xmq502gm 1 16 spread spread NN cord-273199-xmq502gm 1 17 of of IN cord-273199-xmq502gm 1 18 Covid-19 covid-19 NN cord-273199-xmq502gm 1 19 under under IN cord-273199-xmq502gm 1 20 aggressive aggressive JJ cord-273199-xmq502gm 1 21 management management NN cord-273199-xmq502gm 1 22 date date NN cord-273199-xmq502gm 1 23 : : : cord-273199-xmq502gm 1 24 2020 2020 CD cord-273199-xmq502gm 1 25 - - HYPH cord-273199-xmq502gm 1 26 05 05 CD cord-273199-xmq502gm 1 27 - - HYPH cord-273199-xmq502gm 1 28 02 02 CD cord-273199-xmq502gm 1 29 journal journal NN cord-273199-xmq502gm 1 30 : : : cord-273199-xmq502gm 2 1 nan nan NNP cord-273199-xmq502gm 2 2 DOI DOI NNP cord-273199-xmq502gm 2 3 : : : cord-273199-xmq502gm 3 1 10.1101/2020.04.29.20084483 10.1101/2020.04.29.20084483 LS cord-273199-xmq502gm 4 1 sha sha NNP cord-273199-xmq502gm 4 2 : : : cord-273199-xmq502gm 5 1 a4a68df7030045d3eca3351ff050141d0630a521 a4a68df7030045d3eca3351ff050141d0630a521 NNP cord-273199-xmq502gm 5 2 doc_id doc_id NNP cord-273199-xmq502gm 5 3 : : : cord-273199-xmq502gm 5 4 273199 273199 CD cord-273199-xmq502gm 5 5 cord_uid cord_uid NNS cord-273199-xmq502gm 5 6 : : : cord-273199-xmq502gm 6 1 xmq502gm xmq502gm NNP cord-273199-xmq502gm 7 1 We -PRON- PRP cord-273199-xmq502gm 7 2 propose propose VBP cord-273199-xmq502gm 7 3 an an DT cord-273199-xmq502gm 7 4 algebraic algebraic JJ cord-273199-xmq502gm 7 5 - - HYPH cord-273199-xmq502gm 7 6 type type NN cord-273199-xmq502gm 7 7 formula formula NN cord-273199-xmq502gm 7 8 that that WDT cord-273199-xmq502gm 7 9 describes describe VBZ cord-273199-xmq502gm 7 10 with with IN cord-273199-xmq502gm 7 11 high high JJ cord-273199-xmq502gm 7 12 accuracy accuracy NN cord-273199-xmq502gm 7 13 the the DT cord-273199-xmq502gm 7 14 spread spread NN cord-273199-xmq502gm 7 15 of of IN cord-273199-xmq502gm 7 16 Covid-19 covid-19 NN cord-273199-xmq502gm 7 17 pandemic pandemic NN cord-273199-xmq502gm 7 18 under under IN cord-273199-xmq502gm 7 19 aggressive aggressive JJ cord-273199-xmq502gm 7 20 management management NN cord-273199-xmq502gm 7 21 for for IN cord-273199-xmq502gm 7 22 the the DT cord-273199-xmq502gm 7 23 periods period NNS cord-273199-xmq502gm 7 24 of of IN cord-273199-xmq502gm 7 25 the the DT cord-273199-xmq502gm 7 26 intensive intensive JJ cord-273199-xmq502gm 7 27 growth growth NN cord-273199-xmq502gm 7 28 of of IN cord-273199-xmq502gm 7 29 the the DT cord-273199-xmq502gm 7 30 total total JJ cord-273199-xmq502gm 7 31 number number NN cord-273199-xmq502gm 7 32 of of IN cord-273199-xmq502gm 7 33 infections infection NNS cord-273199-xmq502gm 7 34 . . . cord-273199-xmq502gm 8 1 The the DT cord-273199-xmq502gm 8 2 formula formula NN cord-273199-xmq502gm 8 3 can can MD cord-273199-xmq502gm 8 4 be be VB cord-273199-xmq502gm 8 5 used use VBN cord-273199-xmq502gm 8 6 as as IN cord-273199-xmq502gm 8 7 a a DT cord-273199-xmq502gm 8 8 powerful powerful JJ cord-273199-xmq502gm 8 9 forecasting forecasting NN cord-273199-xmq502gm 8 10 tool tool NN cord-273199-xmq502gm 8 11 . . . cord-273199-xmq502gm 9 1 The the DT cord-273199-xmq502gm 9 2 parameters parameter NNS cord-273199-xmq502gm 9 3 of of IN cord-273199-xmq502gm 9 4 the the DT cord-273199-xmq502gm 9 5 theory theory NN cord-273199-xmq502gm 9 6 are be VBP cord-273199-xmq502gm 9 7 the the DT cord-273199-xmq502gm 9 8 transmission transmission NN cord-273199-xmq502gm 9 9 rate rate NN cord-273199-xmq502gm 9 10 , , , cord-273199-xmq502gm 9 11 reflecting reflect VBG cord-273199-xmq502gm 9 12 the the DT cord-273199-xmq502gm 9 13 viral viral JJ cord-273199-xmq502gm 9 14 fitness fitness NN cord-273199-xmq502gm 9 15 and and CC cord-273199-xmq502gm 9 16 " " `` cord-273199-xmq502gm 9 17 normal normal JJ cord-273199-xmq502gm 9 18 " " '' cord-273199-xmq502gm 9 19 frequency frequency NN cord-273199-xmq502gm 9 20 of of IN cord-273199-xmq502gm 9 21 contacts contact NNS cord-273199-xmq502gm 9 22 in in IN cord-273199-xmq502gm 9 23 the the DT cord-273199-xmq502gm 9 24 infected infected JJ cord-273199-xmq502gm 9 25 areas area NNS cord-273199-xmq502gm 9 26 , , , cord-273199-xmq502gm 9 27 and and CC cord-273199-xmq502gm 9 28 the the DT cord-273199-xmq502gm 9 29 intensity intensity NN cord-273199-xmq502gm 9 30 of of IN cord-273199-xmq502gm 9 31 prevention prevention NN cord-273199-xmq502gm 9 32 measures measure NNS cord-273199-xmq502gm 9 33 . . . cord-273199-xmq502gm 10 1 The the DT cord-273199-xmq502gm 10 2 duration duration NN cord-273199-xmq502gm 10 3 of of IN cord-273199-xmq502gm 10 4 the the DT cord-273199-xmq502gm 10 5 period period NN cord-273199-xmq502gm 10 6 of of IN cord-273199-xmq502gm 10 7 intensive intensive JJ cord-273199-xmq502gm 10 8 growth growth NN cord-273199-xmq502gm 10 9 is be VBZ cord-273199-xmq502gm 10 10 essentially essentially RB cord-273199-xmq502gm 10 11 inversely inversely RB cord-273199-xmq502gm 10 12 proportional proportional JJ cord-273199-xmq502gm 10 13 to to IN cord-273199-xmq502gm 10 14 the the DT cord-273199-xmq502gm 10 15 square square JJ cord-273199-xmq502gm 10 16 root root NN cord-273199-xmq502gm 10 17 of of IN cord-273199-xmq502gm 10 18 the the DT cord-273199-xmq502gm 10 19 intensity intensity NN cord-273199-xmq502gm 10 20 of of IN cord-273199-xmq502gm 10 21 hard hard JJ cord-273199-xmq502gm 10 22 measures measure NNS cord-273199-xmq502gm 10 23 . . . cord-273199-xmq502gm 11 1 A a DT cord-273199-xmq502gm 11 2 more more RBR cord-273199-xmq502gm 11 3 precise precise JJ cord-273199-xmq502gm 11 4 formula formula NN cord-273199-xmq502gm 11 5 is be VBZ cord-273199-xmq502gm 11 6 based base VBN cord-273199-xmq502gm 11 7 on on IN cord-273199-xmq502gm 11 8 Bessel Bessel NNP cord-273199-xmq502gm 11 9 functions function NNS cord-273199-xmq502gm 11 10 . . . cord-273199-xmq502gm 12 1 The the DT cord-273199-xmq502gm 12 2 data datum NNS cord-273199-xmq502gm 12 3 for for IN cord-273199-xmq502gm 12 4 the the DT cord-273199-xmq502gm 12 5 USA USA NNP cord-273199-xmq502gm 12 6 , , , cord-273199-xmq502gm 12 7 UK UK NNP cord-273199-xmq502gm 12 8 , , , cord-273199-xmq502gm 12 9 Sweden Sweden NNP cord-273199-xmq502gm 12 10 , , , cord-273199-xmq502gm 12 11 Israel Israel NNP cord-273199-xmq502gm 12 12 are be VBP cord-273199-xmq502gm 12 13 provided provide VBN cord-273199-xmq502gm 12 14 . . . cord-273199-xmq502gm 13 1 Power power NN cord-273199-xmq502gm 13 2 law law NN cord-273199-xmq502gm 13 3 of of IN cord-273199-xmq502gm 13 4 epidemics epidemic NNS cord-273199-xmq502gm 13 5 . . . cord-273199-xmq502gm 14 1 The the DT cord-273199-xmq502gm 14 2 simplest simple JJS cord-273199-xmq502gm 14 3 equation equation NN cord-273199-xmq502gm 14 4 for for IN cord-273199-xmq502gm 14 5 the the DT cord-273199-xmq502gm 14 6 spread spread NN cord-273199-xmq502gm 14 7 of of IN cord-273199-xmq502gm 14 8 communicable communicable JJ cord-273199-xmq502gm 14 9 diseases disease NNS cord-273199-xmq502gm 14 10 results result NNS cord-273199-xmq502gm 14 11 in in IN cord-273199-xmq502gm 14 12 exponential exponential JJ cord-273199-xmq502gm 14 13 growth growth NN cord-273199-xmq502gm 14 14 of of IN cord-273199-xmq502gm 14 15 the the DT cord-273199-xmq502gm 14 16 number number NN cord-273199-xmq502gm 14 17 of of IN cord-273199-xmq502gm 14 18 infections infection NNS cord-273199-xmq502gm 14 19 , , , cord-273199-xmq502gm 14 20 which which WDT cord-273199-xmq502gm 14 21 is be VBZ cord-273199-xmq502gm 14 22 mostly mostly RB cord-273199-xmq502gm 14 23 applicable applicable JJ cord-273199-xmq502gm 14 24 to to IN cord-273199-xmq502gm 14 25 the the DT cord-273199-xmq502gm 14 26 initial initial JJ cord-273199-xmq502gm 14 27 stages stage NNS cord-273199-xmq502gm 14 28 of of IN cord-273199-xmq502gm 14 29 epidemics epidemic NNS cord-273199-xmq502gm 14 30 . . . cord-273199-xmq502gm 15 1 See see VB cord-273199-xmq502gm 15 2 e.g. e.g. JJ cord-273199-xmq502gm 15 3 [ [ -LRB- cord-273199-xmq502gm 15 4 1 1 CD cord-273199-xmq502gm 15 5 , , , cord-273199-xmq502gm 15 6 2 2 CD cord-273199-xmq502gm 15 7 , , , cord-273199-xmq502gm 15 8 3 3 CD cord-273199-xmq502gm 15 9 , , , cord-273199-xmq502gm 15 10 4 4 CD cord-273199-xmq502gm 15 11 ] ] -RRB- cord-273199-xmq502gm 15 12 here here RB cord-273199-xmq502gm 15 13 and and CC cord-273199-xmq502gm 15 14 below below RB cord-273199-xmq502gm 15 15 and and CC cord-273199-xmq502gm 15 16 [ [ -LRB- cord-273199-xmq502gm 15 17 5 5 CD cord-273199-xmq502gm 15 18 ] ] -RRB- cord-273199-xmq502gm 15 19 about about IN cord-273199-xmq502gm 15 20 some some DT cord-273199-xmq502gm 15 21 perspectives perspective NNS cord-273199-xmq502gm 15 22 with with IN cord-273199-xmq502gm 15 23 Covid-19 covid-19 NN cord-273199-xmq502gm 15 24 . . . cord-273199-xmq502gm 16 1 We -PRON- PRP cord-273199-xmq502gm 16 2 focus focus VBP cord-273199-xmq502gm 16 3 on on IN cord-273199-xmq502gm 16 4 the the DT cord-273199-xmq502gm 16 5 middle middle JJ cord-273199-xmq502gm 16 6 stages stage NNS cord-273199-xmq502gm 16 7 , , , cord-273199-xmq502gm 16 8 where where WRB cord-273199-xmq502gm 16 9 the the DT cord-273199-xmq502gm 16 10 growth growth NN cord-273199-xmq502gm 16 11 is be VBZ cord-273199-xmq502gm 16 12 no no RB cord-273199-xmq502gm 16 13 greater great JJR cord-273199-xmq502gm 16 14 than than IN cord-273199-xmq502gm 16 15 some some DT cord-273199-xmq502gm 16 16 power power NN cord-273199-xmq502gm 16 17 functions function NNS cord-273199-xmq502gm 16 18 in in IN cord-273199-xmq502gm 16 19 time time NN cord-273199-xmq502gm 16 20 , , , cord-273199-xmq502gm 16 21 which which WDT cord-273199-xmq502gm 16 22 requires require VBZ cord-273199-xmq502gm 16 23 a a DT cord-273199-xmq502gm 16 24 different different JJ cord-273199-xmq502gm 16 25 approach approach NN cord-273199-xmq502gm 16 26 and and CC cord-273199-xmq502gm 16 27 different different JJ cord-273199-xmq502gm 16 28 equations equation NNS cord-273199-xmq502gm 16 29 . . . cord-273199-xmq502gm 17 1 The the DT cord-273199-xmq502gm 17 2 equally equally RB cord-273199-xmq502gm 17 3 classical classical JJ cord-273199-xmq502gm 17 4 logistic logistic JJ cord-273199-xmq502gm 17 5 models model NNS cord-273199-xmq502gm 17 6 of of IN cord-273199-xmq502gm 17 7 the the DT cord-273199-xmq502gm 17 8 spread spread NN cord-273199-xmq502gm 17 9 , , , cord-273199-xmq502gm 17 10 as as RB cord-273199-xmq502gm 17 11 well well RB cord-273199-xmq502gm 17 12 as as IN cord-273199-xmq502gm 17 13 the the DT cord-273199-xmq502gm 17 14 SIR SIR NNP cord-273199-xmq502gm 17 15 , , , cord-273199-xmq502gm 17 16 SID SID NNP cord-273199-xmq502gm 17 17 models model VBZ cord-273199-xmq502gm 17 18 an an DT cord-273199-xmq502gm 17 19 generalizations generalization NNS cord-273199-xmq502gm 17 20 , , , cord-273199-xmq502gm 17 21 assume assume VBP cord-273199-xmq502gm 17 22 that that IN cord-273199-xmq502gm 17 23 the the DT cord-273199-xmq502gm 17 24 number number NN cord-273199-xmq502gm 17 25 of of IN cord-273199-xmq502gm 17 26 infections infection NNS cord-273199-xmq502gm 17 27 is be VBZ cord-273199-xmq502gm 17 28 comparable comparable JJ cord-273199-xmq502gm 17 29 with with IN cord-273199-xmq502gm 17 30 the the DT cord-273199-xmq502gm 17 31 whole whole JJ cord-273199-xmq502gm 17 32 population population NN cord-273199-xmq502gm 17 33 , , , cord-273199-xmq502gm 17 34 which which WDT cord-273199-xmq502gm 17 35 we -PRON- PRP cord-273199-xmq502gm 17 36 do do VBP cord-273199-xmq502gm 17 37 not not RB cord-273199-xmq502gm 17 38 impose impose VB cord-273199-xmq502gm 17 39 . . . cord-273199-xmq502gm 18 1 Major major JJ cord-273199-xmq502gm 18 2 new new JJ cord-273199-xmq502gm 18 3 epidemics epidemic NNS cord-273199-xmq502gm 18 4 were be VBD cord-273199-xmq502gm 18 5 not not RB cord-273199-xmq502gm 18 6 really really RB cord-273199-xmq502gm 18 7 of of IN cord-273199-xmq502gm 18 8 this this DT cord-273199-xmq502gm 18 9 kind kind NN cord-273199-xmq502gm 18 10 during during IN cord-273199-xmq502gm 18 11 the the DT cord-273199-xmq502gm 18 12 last last JJ cord-273199-xmq502gm 18 13 100 100 CD cord-273199-xmq502gm 18 14 years year NNS cord-273199-xmq502gm 18 15 , , , cord-273199-xmq502gm 18 16 which which WDT cord-273199-xmq502gm 18 17 is be VBZ cord-273199-xmq502gm 18 18 obviously obviously RB cord-273199-xmq502gm 18 19 due due JJ cord-273199-xmq502gm 18 20 to to IN cord-273199-xmq502gm 18 21 better well JJR cord-273199-xmq502gm 18 22 disease disease NN cord-273199-xmq502gm 18 23 control control NN cord-273199-xmq502gm 18 24 worldwide worldwide RB cord-273199-xmq502gm 18 25 . . . cord-273199-xmq502gm 19 1 The the DT cord-273199-xmq502gm 19 2 reality reality NN cord-273199-xmq502gm 19 3 now now RB cord-273199-xmq502gm 19 4 is be VBZ cord-273199-xmq502gm 19 5 the the DT cord-273199-xmq502gm 19 6 power power NN cord-273199-xmq502gm 19 7 - - HYPH cord-273199-xmq502gm 19 8 type type NN cord-273199-xmq502gm 19 9 growth growth NN cord-273199-xmq502gm 19 10 of of IN cord-273199-xmq502gm 19 11 total total JJ cord-273199-xmq502gm 19 12 number number NN cord-273199-xmq502gm 19 13 of of IN cord-273199-xmq502gm 19 14 infections infection NNS cord-273199-xmq502gm 19 15 U u NN cord-273199-xmq502gm 19 16 ( ( -LRB- cord-273199-xmq502gm 19 17 t t NN cord-273199-xmq502gm 19 18 ) ) -RRB- cord-273199-xmq502gm 19 19 after after IN cord-273199-xmq502gm 19 20 a a DT cord-273199-xmq502gm 19 21 possible possible JJ cord-273199-xmq502gm 19 22 short short JJ cord-273199-xmq502gm 19 23 period period NN cord-273199-xmq502gm 19 24 of of IN cord-273199-xmq502gm 19 25 exponential exponential JJ cord-273199-xmq502gm 19 26 growth growth NN cord-273199-xmq502gm 19 27 , , , cord-273199-xmq502gm 19 28 Covid-19 Covid-19 NNP cord-273199-xmq502gm 19 29 included include VBN cord-273199-xmq502gm 19 30 . . . cord-273199-xmq502gm 20 1 Our -PRON- PRP$ cord-273199-xmq502gm 20 2 approach approach NN cord-273199-xmq502gm 20 3 is be VBZ cord-273199-xmq502gm 20 4 based base VBN cord-273199-xmq502gm 20 5 on on IN cord-273199-xmq502gm 20 6 this this DT cord-273199-xmq502gm 20 7 assumption assumption NN cord-273199-xmq502gm 20 8 . . . cord-273199-xmq502gm 21 1 Generally generally RB cord-273199-xmq502gm 21 2 , , , cord-273199-xmq502gm 21 3 the the DT cord-273199-xmq502gm 21 4 rate rate NN cord-273199-xmq502gm 21 5 of of IN cord-273199-xmq502gm 21 6 change change NN cord-273199-xmq502gm 21 7 of of IN cord-273199-xmq502gm 21 8 the the DT cord-273199-xmq502gm 21 9 total total JJ cord-273199-xmq502gm 21 10 number number NN cord-273199-xmq502gm 21 11 of of IN cord-273199-xmq502gm 21 12 infections infection NNS cord-273199-xmq502gm 21 13 dU du XX cord-273199-xmq502gm 22 1 ( ( -LRB- cord-273199-xmq502gm 22 2 t)/dt t)/dt VBN cord-273199-xmq502gm 22 3 is be VBZ cord-273199-xmq502gm 22 4 mostly mostly RB cord-273199-xmq502gm 22 5 related relate VBN cord-273199-xmq502gm 22 6 to to IN cord-273199-xmq502gm 22 7 U U NNP cord-273199-xmq502gm 22 8 ( ( -LRB- cord-273199-xmq502gm 22 9 t t NN cord-273199-xmq502gm 22 10 ) ) -RRB- cord-273199-xmq502gm 22 11 − − NNP cord-273199-xmq502gm 22 12 U u NN cord-273199-xmq502gm 22 13 ( ( -LRB- cord-273199-xmq502gm 22 14 t t NN cord-273199-xmq502gm 22 15 − − NN cord-273199-xmq502gm 22 16 p p NN cord-273199-xmq502gm 22 17 ) ) -RRB- cord-273199-xmq502gm 22 18 , , , cord-273199-xmq502gm 22 19 where where WRB cord-273199-xmq502gm 22 20 p p NN cord-273199-xmq502gm 22 21 is be VBZ cord-273199-xmq502gm 22 22 the the DT cord-273199-xmq502gm 22 23 period period NN cord-273199-xmq502gm 22 24 when when WRB cord-273199-xmq502gm 22 25 the the DT cord-273199-xmq502gm 22 26 infected infected JJ cord-273199-xmq502gm 22 27 people people NNS cord-273199-xmq502gm 22 28 spread spread VBP cord-273199-xmq502gm 22 29 the the DT cord-273199-xmq502gm 22 30 virus virus NN cord-273199-xmq502gm 22 31 in in IN cord-273199-xmq502gm 22 32 the the DT cord-273199-xmq502gm 22 33 most most RBS cord-273199-xmq502gm 22 34 intensive intensive JJ cord-273199-xmq502gm 22 35 way way NN cord-273199-xmq502gm 22 36 . . . cord-273199-xmq502gm 23 1 Assuming assume VBG cord-273199-xmq502gm 23 2 that that IN cord-273199-xmq502gm 23 3 U u NN cord-273199-xmq502gm 23 4 ( ( -LRB- cord-273199-xmq502gm 23 5 t t NN cord-273199-xmq502gm 23 6 ) ) -RRB- cord-273199-xmq502gm 23 7 = = SYM cord-273199-xmq502gm 23 8 t t NN cord-273199-xmq502gm 23 9 α α NN cord-273199-xmq502gm 23 10 : : : cord-273199-xmq502gm 23 11 dU dU NNP cord-273199-xmq502gm 23 12 ( ( -LRB- cord-273199-xmq502gm 23 13 t)/dt t)/dt NN cord-273199-xmq502gm 23 14 = = SYM cord-273199-xmq502gm 23 15 αt αt IN cord-273199-xmq502gm 23 16 α−1 α−1 NNP cord-273199-xmq502gm 23 17 and and CC cord-273199-xmq502gm 23 18 the the DT cord-273199-xmq502gm 23 19 leading leading JJ cord-273199-xmq502gm 23 20 term term NN cord-273199-xmq502gm 23 21 of of IN cord-273199-xmq502gm 23 22 U U NNP cord-273199-xmq502gm 23 23 ( ( -LRB- cord-273199-xmq502gm 23 24 t t NN cord-273199-xmq502gm 23 25 ) ) -RRB- cord-273199-xmq502gm 23 26 − − NN cord-273199-xmq502gm 23 27 U U NNP cord-273199-xmq502gm 23 28 ( ( -LRB- cord-273199-xmq502gm 23 29 t−p t−p NNP cord-273199-xmq502gm 23 30 ) ) -RRB- cord-273199-xmq502gm 23 31 is be VBZ cord-273199-xmq502gm 23 32 pαt pαt NN cord-273199-xmq502gm 23 33 α−1 α−1 PRP cord-273199-xmq502gm 23 34 = = SYM cord-273199-xmq502gm 23 35 pλU pλU NNP cord-273199-xmq502gm 23 36 ( ( -LRB- cord-273199-xmq502gm 23 37 t)/t t)/t XX cord-273199-xmq502gm 23 38 , , , cord-273199-xmq502gm 23 39 i.e. i.e. FW cord-273199-xmq502gm 23 40 it -PRON- PRP cord-273199-xmq502gm 23 41 is be VBZ cord-273199-xmq502gm 23 42 essentially essentially RB cord-273199-xmq502gm 23 43 proportional proportional JJ cord-273199-xmq502gm 23 44 to to IN cord-273199-xmq502gm 23 45 dU dU NNP cord-273199-xmq502gm 23 46 ( ( -LRB- cord-273199-xmq502gm 23 47 t)/dt t)/dt IN cord-273199-xmq502gm 23 48 . . . cord-273199-xmq502gm 24 1 However however RB cord-273199-xmq502gm 24 2 , , , cord-273199-xmq502gm 24 3 if if IN cord-273199-xmq502gm 24 4 α α NN cord-273199-xmq502gm 24 5 > > XX cord-273199-xmq502gm 24 6 1 1 CD cord-273199-xmq502gm 24 7 , , , cord-273199-xmq502gm 24 8 there there EX cord-273199-xmq502gm 24 9 will will MD cord-273199-xmq502gm 24 10 be be VB cord-273199-xmq502gm 24 11 other other JJ cord-273199-xmq502gm 24 12 terms term NNS cord-273199-xmq502gm 24 13 in in IN cord-273199-xmq502gm 24 14 the the DT cord-273199-xmq502gm 24 15 expansion expansion NN cord-273199-xmq502gm 24 16 of of IN cord-273199-xmq502gm 24 17 U U NNP cord-273199-xmq502gm 24 18 ( ( -LRB- cord-273199-xmq502gm 24 19 t)−U t)−u CD cord-273199-xmq502gm 24 20 ( ( -LRB- cord-273199-xmq502gm 24 21 t−p t−p NNP cord-273199-xmq502gm 24 22 ) ) -RRB- cord-273199-xmq502gm 24 23 and and CC cord-273199-xmq502gm 24 24 the the DT cord-273199-xmq502gm 24 25 proportionality proportionality NN cord-273199-xmq502gm 24 26 with with IN cord-273199-xmq502gm 24 27 U U NNP cord-273199-xmq502gm 24 28 ( ( -LRB- cord-273199-xmq502gm 24 29 t)/t t)/t NNP cord-273199-xmq502gm 24 30 can can MD cord-273199-xmq502gm 24 31 be be VB cord-273199-xmq502gm 24 32 only only RB cord-273199-xmq502gm 24 33 if if IN cord-273199-xmq502gm 24 34 either either CC cord-273199-xmq502gm 24 35 the the DT cord-273199-xmq502gm 24 36 virus virus NN cord-273199-xmq502gm 24 37 transmission transmission NN cord-273199-xmq502gm 24 38 strength strength NN cord-273199-xmq502gm 24 39 diminishes diminish VBZ cord-273199-xmq502gm 24 40 over over IN cord-273199-xmq502gm 24 41 time time NN cord-273199-xmq502gm 24 42 or or CC cord-273199-xmq502gm 24 43 we -PRON- PRP cord-273199-xmq502gm 24 44 reduce reduce VBP cord-273199-xmq502gm 24 45 our -PRON- PRP$ cord-273199-xmq502gm 24 46 contacts contact NNS cord-273199-xmq502gm 24 47 over over IN cord-273199-xmq502gm 24 48 time time NN cord-273199-xmq502gm 24 49 when when WRB cord-273199-xmq502gm 24 50 the the DT cord-273199-xmq502gm 24 51 total total JJ cord-273199-xmq502gm 24 52 number number NN cord-273199-xmq502gm 24 53 of of IN cord-273199-xmq502gm 24 54 cases case NNS cord-273199-xmq502gm 24 55 growths growth NNS cord-273199-xmq502gm 24 56 faster fast RBR cord-273199-xmq502gm 24 57 than than IN cord-273199-xmq502gm 24 58 linearly linearly RB cord-273199-xmq502gm 24 59 . . . cord-273199-xmq502gm 25 1 With with IN cord-273199-xmq502gm 25 2 Covid-19 Covid-19 NNP cord-273199-xmq502gm 25 3 , , , cord-273199-xmq502gm 25 4 we -PRON- PRP cord-273199-xmq502gm 25 5 attribute attribute VBP cord-273199-xmq502gm 25 6 it -PRON- PRP cord-273199-xmq502gm 25 7 mostly mostly RB cord-273199-xmq502gm 25 8 to to IN cord-273199-xmq502gm 25 9 the the DT cord-273199-xmq502gm 25 10 latter latter JJ cord-273199-xmq502gm 25 11 , , , cord-273199-xmq502gm 25 12 to to IN cord-273199-xmq502gm 25 13 the the DT cord-273199-xmq502gm 25 14 reduction reduction NN cord-273199-xmq502gm 25 15 of of IN cord-273199-xmq502gm 25 16 the the DT cord-273199-xmq502gm 25 17 contacts contact NNS cord-273199-xmq502gm 25 18 over over IN cord-273199-xmq502gm 25 19 time time NN cord-273199-xmq502gm 25 20 of of IN cord-273199-xmq502gm 25 21 infected infected JJ cord-273199-xmq502gm 25 22 individuals individual NNS cord-273199-xmq502gm 25 23 with with IN cord-273199-xmq502gm 25 24 the the DT cord-273199-xmq502gm 25 25 rest rest NN cord-273199-xmq502gm 25 26 of of IN cord-273199-xmq502gm 25 27 population population NN cord-273199-xmq502gm 25 28 , , , cord-273199-xmq502gm 25 29 i.e. i.e. FW cord-273199-xmq502gm 25 30 to to IN cord-273199-xmq502gm 25 31 behavioral behavioral JJ cord-273199-xmq502gm 25 32 and and CC cord-273199-xmq502gm 25 33 sociological sociological JJ cord-273199-xmq502gm 25 34 factors factor NNS cord-273199-xmq502gm 25 35 . . . cord-273199-xmq502gm 26 1 This this DT cord-273199-xmq502gm 26 2 is be VBZ cord-273199-xmq502gm 26 3 different different JJ cord-273199-xmq502gm 26 4 from from IN cord-273199-xmq502gm 26 5 other other JJ cord-273199-xmq502gm 26 6 power power NN cord-273199-xmq502gm 26 7 laws law NNS cord-273199-xmq502gm 26 8 for for IN cord-273199-xmq502gm 26 9 infectious infectious JJ cord-273199-xmq502gm 26 10 diseases disease NNS cord-273199-xmq502gm 26 11 ; ; : cord-273199-xmq502gm 26 12 compare compare VB cord-273199-xmq502gm 26 13 e.g. e.g. RB cord-273199-xmq502gm 26 14 with with IN cord-273199-xmq502gm 26 15 [ [ -LRB- cord-273199-xmq502gm 26 16 3 3 CD cord-273199-xmq502gm 26 17 ] ] -RRB- cord-273199-xmq502gm 26 18 . . . cord-273199-xmq502gm 27 1 Generally generally RB cord-273199-xmq502gm 27 2 , , , cord-273199-xmq502gm 27 3 if if IN cord-273199-xmq502gm 27 4 someone someone NN cord-273199-xmq502gm 27 5 wants want VBZ cord-273199-xmq502gm 27 6 to to TO cord-273199-xmq502gm 27 7 " " `` cord-273199-xmq502gm 27 8 see see VB cord-273199-xmq502gm 27 9 " " '' cord-273199-xmq502gm 27 10 the the DT cord-273199-xmq502gm 27 11 trend trend NN cord-273199-xmq502gm 27 12 of of IN cord-273199-xmq502gm 27 13 the the DT cord-273199-xmq502gm 27 14 epidemic epidemic NN cord-273199-xmq502gm 27 15 using use VBG cord-273199-xmq502gm 27 16 only only RB cord-273199-xmq502gm 27 17 the the DT cord-273199-xmq502gm 27 18 total total JJ cord-273199-xmq502gm 27 19 number number NN cord-273199-xmq502gm 27 20 of of IN cord-273199-xmq502gm 27 21 infections infection NNS cord-273199-xmq502gm 27 22 to to IN cord-273199-xmq502gm 27 23 date date NN cord-273199-xmq502gm 27 24 , , , cord-273199-xmq502gm 27 25 then then RB cord-273199-xmq502gm 27 26 U U NNP cord-273199-xmq502gm 27 27 ( ( -LRB- cord-273199-xmq502gm 27 28 t)/t t)/t NNP cord-273199-xmq502gm 27 29 is be VBZ cord-273199-xmq502gm 27 30 the the DT cord-273199-xmq502gm 27 31 best good JJS cord-273199-xmq502gm 27 32 way way NN cord-273199-xmq502gm 27 33 of of IN cord-273199-xmq502gm 27 34 course course NN cord-273199-xmq502gm 27 35 . . . cord-273199-xmq502gm 28 1 This this DT cord-273199-xmq502gm 28 2 is be VBZ cord-273199-xmq502gm 28 3 qualitative qualitative JJ cord-273199-xmq502gm 28 4 , , , cord-273199-xmq502gm 28 5 but but CC cord-273199-xmq502gm 28 6 the the DT cord-273199-xmq502gm 28 7 corresponding corresponding JJ cord-273199-xmq502gm 28 8 differential differential JJ cord-273199-xmq502gm 28 9 equation equation NN cord-273199-xmq502gm 28 10 dU dU NNP cord-273199-xmq502gm 28 11 ( ( -LRB- cord-273199-xmq502gm 28 12 t)/dt t)/dt NN cord-273199-xmq502gm 28 13 = = SYM cord-273199-xmq502gm 28 14 c c NN cord-273199-xmq502gm 28 15 U u NN cord-273199-xmq502gm 28 16 ( ( -LRB- cord-273199-xmq502gm 28 17 t)/t t)/t MD cord-273199-xmq502gm 28 18 immediately immediately RB cord-273199-xmq502gm 28 19 gives give VBZ cord-273199-xmq502gm 28 20 that that DT cord-273199-xmq502gm 28 21 U u NN cord-273199-xmq502gm 28 22 ( ( -LRB- cord-273199-xmq502gm 28 23 t t NN cord-273199-xmq502gm 28 24 ) ) -RRB- cord-273199-xmq502gm 28 25 = = SYM cord-273199-xmq502gm 28 26 Ct Ct NNP cord-273199-xmq502gm 28 27 c c NN cord-273199-xmq502gm 28 28 for for IN cord-273199-xmq502gm 28 29 some some DT cord-273199-xmq502gm 28 30 constant constant JJ cord-273199-xmq502gm 28 31 C c NN cord-273199-xmq502gm 28 32 , , , cord-273199-xmq502gm 28 33 i.e. i.e. FW cord-273199-xmq502gm 28 34 results result NNS cord-273199-xmq502gm 28 35 in in IN cord-273199-xmq502gm 28 36 a a DT cord-273199-xmq502gm 28 37 power power NN cord-273199-xmq502gm 28 38 growth growth NN cord-273199-xmq502gm 28 39 . . . cord-273199-xmq502gm 29 1 This this DT cord-273199-xmq502gm 29 2 can can MD cord-273199-xmq502gm 29 3 be be VB cord-273199-xmq502gm 29 4 really really RB cord-273199-xmq502gm 29 5 seen see VBN cord-273199-xmq502gm 29 6 for for IN cord-273199-xmq502gm 29 7 Covid-19 covid-19 NN cord-273199-xmq502gm 29 8 and and CC cord-273199-xmq502gm 29 9 other other JJ cord-273199-xmq502gm 29 10 epidemics epidemic NNS cord-273199-xmq502gm 29 11 before before IN cord-273199-xmq502gm 29 12 the the DT cord-273199-xmq502gm 29 13 active active JJ cord-273199-xmq502gm 29 14 management management NN cord-273199-xmq502gm 29 15 begins begin VBZ cord-273199-xmq502gm 29 16 . . . cord-273199-xmq502gm 30 1 The the DT cord-273199-xmq502gm 30 2 coefficient coefficient NN cord-273199-xmq502gm 30 3 c c NN cord-273199-xmq502gm 30 4 is be VBZ cord-273199-xmq502gm 30 5 approximately approximately RB cord-273199-xmq502gm 30 6 c c NNP cord-273199-xmq502gm 30 7 ≈ ≈ NNP cord-273199-xmq502gm 30 8 2 2 CD cord-273199-xmq502gm 30 9 for for IN cord-273199-xmq502gm 30 10 Covid-19 covid-19 NN cord-273199-xmq502gm 30 11 initially initially RB cord-273199-xmq502gm 30 12 ; ; : cord-273199-xmq502gm 30 13 when when WRB cord-273199-xmq502gm 30 14 the the DT cord-273199-xmq502gm 30 15 management management NN cord-273199-xmq502gm 30 16 begins begin VBZ cord-273199-xmq502gm 30 17 , , , cord-273199-xmq502gm 30 18 c c NN cord-273199-xmq502gm 30 19 drops drop VBZ cord-273199-xmq502gm 30 20 and and CC cord-273199-xmq502gm 30 21 then then RB cord-273199-xmq502gm 30 22 the the DT cord-273199-xmq502gm 30 23 Bessel Bessel NNP cord-273199-xmq502gm 30 24 functions function NNS cord-273199-xmq502gm 30 25 describe describe VBP cord-273199-xmq502gm 30 26 the the DT cord-273199-xmq502gm 30 27 increase increase NN cord-273199-xmq502gm 30 28 of of IN cord-273199-xmq502gm 30 29 U u NN cord-273199-xmq502gm 30 30 ( ( -LRB- cord-273199-xmq502gm 30 31 t t NN cord-273199-xmq502gm 30 32 ) ) -RRB- cord-273199-xmq502gm 30 33 till till IN cord-273199-xmq502gm 30 34 the the DT cord-273199-xmq502gm 30 35 " " `` cord-273199-xmq502gm 30 36 saturation saturation NN cord-273199-xmq502gm 30 37 " " '' cord-273199-xmq502gm 30 38 , , , cord-273199-xmq502gm 30 39 which which WDT cord-273199-xmq502gm 30 40 is be VBZ cord-273199-xmq502gm 30 41 a a DT cord-273199-xmq502gm 30 42 technical technical JJ cord-273199-xmq502gm 30 43 end end NN cord-273199-xmq502gm 30 44 of of IN cord-273199-xmq502gm 30 45 the the DT cord-273199-xmq502gm 30 46 epidemic epidemic NN cord-273199-xmq502gm 30 47 , , , cord-273199-xmq502gm 30 48 though though IN cord-273199-xmq502gm 30 49 not not RB cord-273199-xmq502gm 30 50 its -PRON- PRP$ cord-273199-xmq502gm 30 51 real real JJ cord-273199-xmq502gm 30 52 end end NN cord-273199-xmq502gm 30 53 of of IN cord-273199-xmq502gm 30 54 course course NN cord-273199-xmq502gm 30 55 . . . cord-273199-xmq502gm 31 1 Some some DT cord-273199-xmq502gm 31 2 details detail NNS cord-273199-xmq502gm 31 3 . . . cord-273199-xmq502gm 32 1 The the DT cord-273199-xmq502gm 32 2 full full JJ cord-273199-xmq502gm 32 3 theory theory NN cord-273199-xmq502gm 32 4 is be VBZ cord-273199-xmq502gm 32 5 presented present VBN cord-273199-xmq502gm 32 6 in in IN cord-273199-xmq502gm 32 7 [ [ -LRB- cord-273199-xmq502gm 32 8 6 6 CD cord-273199-xmq502gm 32 9 ] ] -RRB- cord-273199-xmq502gm 32 10 . . . cord-273199-xmq502gm 33 1 If if IN cord-273199-xmq502gm 33 2 the the DT cord-273199-xmq502gm 33 3 number number NN cord-273199-xmq502gm 33 4 of of IN cord-273199-xmq502gm 33 5 new new JJ cord-273199-xmq502gm 33 6 infections infection NNS cord-273199-xmq502gm 33 7 is be VBZ cord-273199-xmq502gm 33 8 proportional proportional JJ cord-273199-xmq502gm 33 9 to to IN cord-273199-xmq502gm 33 10 the the DT cord-273199-xmq502gm 33 11 current current JJ cord-273199-xmq502gm 33 12 number number NN cord-273199-xmq502gm 33 13 of of IN cord-273199-xmq502gm 33 14 those those DT cord-273199-xmq502gm 33 15 infected infect VBN cord-273199-xmq502gm 33 16 , , , cord-273199-xmq502gm 33 17 then then RB cord-273199-xmq502gm 33 18 the the DT cord-273199-xmq502gm 33 19 exponential exponential JJ cord-273199-xmq502gm 33 20 growth growth NN cord-273199-xmq502gm 33 21 of of IN cord-273199-xmq502gm 33 22 the the DT cord-273199-xmq502gm 33 23 spread spread NN cord-273199-xmq502gm 33 24 is be VBZ cord-273199-xmq502gm 33 25 granted grant VBN cord-273199-xmq502gm 33 26 . . . cord-273199-xmq502gm 34 1 By by IN cord-273199-xmq502gm 34 2 analogy analogy NN cord-273199-xmq502gm 34 3 with with IN cord-273199-xmq502gm 34 4 news news NN cord-273199-xmq502gm 34 5 impact impact NN cord-273199-xmq502gm 34 6 over over IN cord-273199-xmq502gm 34 7 time time NN cord-273199-xmq502gm 34 8 from from IN cord-273199-xmq502gm 34 9 [ [ -LRB- cord-273199-xmq502gm 34 10 7 7 CD cord-273199-xmq502gm 34 11 ] ] -RRB- cord-273199-xmq502gm 34 12 , , , cord-273199-xmq502gm 34 13 and and CC cord-273199-xmq502gm 34 14 similar similar JJ cord-273199-xmq502gm 34 15 sociological sociological JJ cord-273199-xmq502gm 34 16 - - HYPH cord-273199-xmq502gm 34 17 type type NN cord-273199-xmq502gm 34 18 processes process NNS cord-273199-xmq502gm 34 19 , , , cord-273199-xmq502gm 34 20 it -PRON- PRP cord-273199-xmq502gm 34 21 is be VBZ cord-273199-xmq502gm 34 22 quite quite RB cord-273199-xmq502gm 34 23 likely likely JJ cord-273199-xmq502gm 34 24 that that IN cord-273199-xmq502gm 34 25 the the DT cord-273199-xmq502gm 34 26 number number NN cord-273199-xmq502gm 34 27 of of IN cord-273199-xmq502gm 34 28 such such JJ cord-273199-xmq502gm 34 29 contacts contact NNS cord-273199-xmq502gm 34 30 is be VBZ cord-273199-xmq502gm 34 31 proportional proportional JJ cord-273199-xmq502gm 34 32 to to IN cord-273199-xmq502gm 34 33 the the DT cord-273199-xmq502gm 34 34 current current JJ cord-273199-xmq502gm 34 35 total total JJ cord-273199-xmq502gm 34 36 number number NN cord-273199-xmq502gm 34 37 of of IN cord-273199-xmq502gm 34 38 the the DT cord-273199-xmq502gm 34 39 infected infect VBN cord-273199-xmq502gm 34 40 individuals individual NNS cord-273199-xmq502gm 34 41 to to IN cord-273199-xmq502gm 34 42 date date NN cord-273199-xmq502gm 34 43 divided divide VBN cord-273199-xmq502gm 34 44 by by IN cord-273199-xmq502gm 34 45 the the DT cord-273199-xmq502gm 34 46 time time NN cord-273199-xmq502gm 34 47 to to IN cord-273199-xmq502gm 34 48 date date NN cord-273199-xmq502gm 34 49 . . . cord-273199-xmq502gm 35 1 The the DT cord-273199-xmq502gm 35 2 coefficient coefficient NN cord-273199-xmq502gm 35 3 of of IN cord-273199-xmq502gm 35 4 proportionality proportionality NN cord-273199-xmq502gm 35 5 is be VBZ cord-273199-xmq502gm 35 6 essentially essentially RB cord-273199-xmq502gm 35 7 the the DT cord-273199-xmq502gm 35 8 intensity intensity NN cord-273199-xmq502gm 35 9 of of IN cord-273199-xmq502gm 35 10 the the DT cord-273199-xmq502gm 35 11 spread spread NN cord-273199-xmq502gm 35 12 . . . cord-273199-xmq502gm 36 1 Sociologically sociologically RB cord-273199-xmq502gm 36 2 , , , cord-273199-xmq502gm 36 3 it -PRON- PRP cord-273199-xmq502gm 36 4 is be VBZ cord-273199-xmq502gm 36 5 related relate VBN cord-273199-xmq502gm 36 6 to to IN cord-273199-xmq502gm 36 7 the the DT cord-273199-xmq502gm 36 8 intensity intensity NN cord-273199-xmq502gm 36 9 of of IN cord-273199-xmq502gm 36 10 the the DT cord-273199-xmq502gm 36 11 discussion discussion NN cord-273199-xmq502gm 36 12 of of IN cord-273199-xmq502gm 36 13 the the DT cord-273199-xmq502gm 36 14 epidemic epidemic NN cord-273199-xmq502gm 36 15 by by IN cord-273199-xmq502gm 36 16 the the DT cord-273199-xmq502gm 36 17 authorities authority NNS cord-273199-xmq502gm 36 18 in in IN cord-273199-xmq502gm 36 19 charge charge NN cord-273199-xmq502gm 36 20 and and CC cord-273199-xmq502gm 36 21 everywhere everywhere RB cord-273199-xmq502gm 36 22 , , , cord-273199-xmq502gm 36 23 which which WDT cord-273199-xmq502gm 36 24 directly directly RB cord-273199-xmq502gm 36 25 influences influence VBZ cord-273199-xmq502gm 36 26 our -PRON- PRP$ cord-273199-xmq502gm 36 27 understanding understand VBG cord-273199-xmq502gm 36 28 the the DT cord-273199-xmq502gm 36 29 gravity gravity NN cord-273199-xmq502gm 36 30 of of IN cord-273199-xmq502gm 36 31 the the DT cord-273199-xmq502gm 36 32 situation situation NN cord-273199-xmq502gm 36 33 and and CC cord-273199-xmq502gm 36 34 results result NNS cord-273199-xmq502gm 36 35 in in IN cord-273199-xmq502gm 36 36 the the DT cord-273199-xmq502gm 36 37 reduction reduction NN cord-273199-xmq502gm 36 38 of of IN cord-273199-xmq502gm 36 39 our -PRON- PRP$ cord-273199-xmq502gm 36 40 contacts contact NNS cord-273199-xmq502gm 36 41 . . . cord-273199-xmq502gm 37 1 This this DT cord-273199-xmq502gm 37 2 can can MD cord-273199-xmq502gm 37 3 happen happen VB cord-273199-xmq502gm 37 4 even even RB cord-273199-xmq502gm 37 5 before before IN cord-273199-xmq502gm 37 6 any any DT cord-273199-xmq502gm 37 7 active active JJ cord-273199-xmq502gm 37 8 prevention prevention NN cord-273199-xmq502gm 37 9 measures measure NNS cord-273199-xmq502gm 37 10 begin begin VBP cord-273199-xmq502gm 37 11 . . . cord-273199-xmq502gm 38 1 Starting start VBG cord-273199-xmq502gm 38 2 with with IN cord-273199-xmq502gm 38 3 the the DT cord-273199-xmq502gm 38 4 equation equation NN cord-273199-xmq502gm 38 5 dU dU NNP cord-273199-xmq502gm 38 6 ( ( -LRB- cord-273199-xmq502gm 38 7 t)/dt t)/dt NN cord-273199-xmq502gm 38 8 = = SYM cord-273199-xmq502gm 38 9 c c NN cord-273199-xmq502gm 38 10 U u NN cord-273199-xmq502gm 38 11 ( ( -LRB- cord-273199-xmq502gm 38 12 t)/t t)/t NFP cord-273199-xmq502gm 38 13 for for IN cord-273199-xmq502gm 38 14 the the DT cord-273199-xmq502gm 38 15 total total JJ cord-273199-xmq502gm 38 16 number number NN cord-273199-xmq502gm 38 17 of of IN cord-273199-xmq502gm 38 18 infections infection NNS cord-273199-xmq502gm 38 19 U u NN cord-273199-xmq502gm 38 20 ( ( -LRB- cord-273199-xmq502gm 38 21 t t NN cord-273199-xmq502gm 38 22 ) ) -RRB- cord-273199-xmq502gm 38 23 , , , cord-273199-xmq502gm 38 24 the the DT cord-273199-xmq502gm 38 25 coefficient coefficient NN cord-273199-xmq502gm 38 26 of of IN cord-273199-xmq502gm 38 27 proportionality proportionality NN cord-273199-xmq502gm 38 28 , , , cord-273199-xmq502gm 38 29 the the DT cord-273199-xmq502gm 38 30 basic basic JJ cord-273199-xmq502gm 38 31 transmission transmission NN cord-273199-xmq502gm 38 32 rate rate NN cord-273199-xmq502gm 38 33 c c NN cord-273199-xmq502gm 38 34 , , , cord-273199-xmq502gm 38 35 is be VBZ cord-273199-xmq502gm 38 36 therefore therefore RB cord-273199-xmq502gm 38 37 a a DT cord-273199-xmq502gm 38 38 combination combination NN cord-273199-xmq502gm 38 39 of of IN cord-273199-xmq502gm 38 40 the the DT cord-273199-xmq502gm 38 41 transmission transmission NN cord-273199-xmq502gm 38 42 strength strength NN cord-273199-xmq502gm 38 43 of of IN cord-273199-xmq502gm 38 44 the the DT cord-273199-xmq502gm 38 45 virus virus NN cord-273199-xmq502gm 38 46 and and CC cord-273199-xmq502gm 38 47 the the DT cord-273199-xmq502gm 38 48 " " `` cord-273199-xmq502gm 38 49 normal normal JJ cord-273199-xmq502gm 38 50 " " '' cord-273199-xmq502gm 38 51 frequency frequency NN cord-273199-xmq502gm 38 52 of of IN cord-273199-xmq502gm 38 53 the the DT cord-273199-xmq502gm 38 54 contacts contact NNS cord-273199-xmq502gm 38 55 in in IN cord-273199-xmq502gm 38 56 the the DT cord-273199-xmq502gm 38 57 infected infected JJ cord-273199-xmq502gm 38 58 place place NN cord-273199-xmq502gm 38 59 . . . cord-273199-xmq502gm 39 1 There there EX cord-273199-xmq502gm 39 2 can can MD cord-273199-xmq502gm 39 3 be be VB cord-273199-xmq502gm 39 4 some some DT cord-273199-xmq502gm 39 5 other other JJ cord-273199-xmq502gm 39 6 mechanisms mechanism NNS cord-273199-xmq502gm 39 7 for for IN cord-273199-xmq502gm 39 8 the the DT cord-273199-xmq502gm 39 9 " " `` cord-273199-xmq502gm 39 10 power power NN cord-273199-xmq502gm 39 11 law law NN cord-273199-xmq502gm 39 12 " " '' cord-273199-xmq502gm 39 13 , , , cord-273199-xmq502gm 39 14 including include VBG cord-273199-xmq502gm 39 15 the the DT cord-273199-xmq502gm 39 16 biological biological JJ cord-273199-xmq502gm 39 17 ones one NNS cord-273199-xmq502gm 39 18 . . . cord-273199-xmq502gm 40 1 Self self NN cord-273199-xmq502gm 40 2 - - HYPH cord-273199-xmq502gm 40 3 isolation isolation NN cord-273199-xmq502gm 40 4 of of IN cord-273199-xmq502gm 40 5 infected infected JJ cord-273199-xmq502gm 40 6 species specie NNS cord-273199-xmq502gm 40 7 is be VBZ cord-273199-xmq502gm 40 8 common common JJ cord-273199-xmq502gm 40 9 not not RB cord-273199-xmq502gm 40 10 only only RB cord-273199-xmq502gm 40 11 for for IN cord-273199-xmq502gm 40 12 humans human NNS cord-273199-xmq502gm 40 13 ... ... . cord-273199-xmq502gm 41 1 unless unless IN cord-273199-xmq502gm 41 2 for for IN cord-273199-xmq502gm 41 3 rabies rabie NNS cord-273199-xmq502gm 41 4 ; ; : cord-273199-xmq502gm 41 5 it -PRON- PRP cord-273199-xmq502gm 41 6 can can MD cord-273199-xmq502gm 41 7 grow grow VB cord-273199-xmq502gm 41 8 over over IN cord-273199-xmq502gm 41 9 time time NN cord-273199-xmq502gm 41 10 and and CC cord-273199-xmq502gm 41 11 when when WRB cord-273199-xmq502gm 41 12 the the DT cord-273199-xmq502gm 41 13 intensity intensity NN cord-273199-xmq502gm 41 14 of of IN cord-273199-xmq502gm 41 15 the the DT cord-273199-xmq502gm 41 16 spread spread NN cord-273199-xmq502gm 41 17 increases increase NNS cord-273199-xmq502gm 41 18 . . . cord-273199-xmq502gm 42 1 Another another DT cord-273199-xmq502gm 42 2 possible possible JJ cord-273199-xmq502gm 42 3 mechanism mechanism NN cord-273199-xmq502gm 42 4 can can MD cord-273199-xmq502gm 42 5 be be VB cord-273199-xmq502gm 42 6 due due JJ cord-273199-xmq502gm 42 7 to to IN cord-273199-xmq502gm 42 8 the the DT cord-273199-xmq502gm 42 9 replication replication NN cord-273199-xmq502gm 42 10 processes process NNS cord-273199-xmq502gm 42 11 for for IN cord-273199-xmq502gm 42 12 viruses virus NNS cord-273199-xmq502gm 42 13 , , , cord-273199-xmq502gm 42 14 but but CC cord-273199-xmq502gm 42 15 this this DT cord-273199-xmq502gm 42 16 is be VBZ cord-273199-xmq502gm 42 17 well well RB cord-273199-xmq502gm 42 18 beyond beyond IN cord-273199-xmq502gm 42 19 this this DT cord-273199-xmq502gm 42 20 article article NN cord-273199-xmq502gm 42 21 . . . cord-273199-xmq502gm 43 1 Anyway anyway RB cord-273199-xmq502gm 43 2 a a DT cord-273199-xmq502gm 43 3 sociological sociological JJ cord-273199-xmq502gm 43 4 approach approach NN cord-273199-xmq502gm 43 5 to to IN cord-273199-xmq502gm 43 6 the the DT cord-273199-xmq502gm 43 7 spread spread NN cord-273199-xmq502gm 43 8 , , , cord-273199-xmq502gm 43 9 which which WDT cord-273199-xmq502gm 43 10 " " `` cord-273199-xmq502gm 43 11 explains explain VBZ cord-273199-xmq502gm 43 12 " " '' cord-273199-xmq502gm 43 13 under under IN cord-273199-xmq502gm 43 14 some some DT cord-273199-xmq502gm 43 15 assumptions assumption NNS cord-273199-xmq502gm 43 16 the the DT cord-273199-xmq502gm 43 17 power power NN cord-273199-xmq502gm 43 18 growth growth NN cord-273199-xmq502gm 43 19 of of IN cord-273199-xmq502gm 43 20 the the DT cord-273199-xmq502gm 43 21 number number NN cord-273199-xmq502gm 43 22 of of IN cord-273199-xmq502gm 43 23 total total JJ cord-273199-xmq502gm 43 24 cases case NNS cord-273199-xmq502gm 43 25 , , , cord-273199-xmq502gm 43 26 is be VBZ cord-273199-xmq502gm 43 27 quite quite RB cord-273199-xmq502gm 43 28 natural natural JJ cord-273199-xmq502gm 43 29 in in IN cord-273199-xmq502gm 43 30 our -PRON- PRP$ cord-273199-xmq502gm 43 31 work work NN cord-273199-xmq502gm 43 32 , , , cord-273199-xmq502gm 43 33 because because IN cord-273199-xmq502gm 43 34 the the DT cord-273199-xmq502gm 43 35 active active JJ cord-273199-xmq502gm 43 36 managements management NNS cord-273199-xmq502gm 43 37 of of IN cord-273199-xmq502gm 43 38 epidemics epidemic NNS cord-273199-xmq502gm 43 39 is be VBZ cord-273199-xmq502gm 43 40 clearly clearly RB cord-273199-xmq502gm 43 41 of of IN cord-273199-xmq502gm 43 42 sociological sociological JJ cord-273199-xmq502gm 43 43 nature nature NN cord-273199-xmq502gm 43 44 , , , cord-273199-xmq502gm 43 45 applicable applicable JJ cord-273199-xmq502gm 43 46 only only RB cord-273199-xmq502gm 43 47 to to IN cord-273199-xmq502gm 43 48 humans human NNS cord-273199-xmq502gm 43 49 . . . cord-273199-xmq502gm 44 1 The the DT cord-273199-xmq502gm 44 2 coefficient coefficient NN cord-273199-xmq502gm 44 3 c c NN cord-273199-xmq502gm 44 4 is be VBZ cord-273199-xmq502gm 44 5 one one CD cord-273199-xmq502gm 44 6 of of IN cord-273199-xmq502gm 44 7 the the DT cord-273199-xmq502gm 44 8 two two CD cord-273199-xmq502gm 44 9 main main JJ cord-273199-xmq502gm 44 10 mathematical mathematical JJ cord-273199-xmq502gm 44 11 parameters parameter NNS cord-273199-xmq502gm 44 12 of of IN cord-273199-xmq502gm 44 13 our -PRON- PRP$ cord-273199-xmq502gm 44 14 theory theory NN cord-273199-xmq502gm 44 15 . . . cord-273199-xmq502gm 45 1 It -PRON- PRP cord-273199-xmq502gm 45 2 can can MD cord-273199-xmq502gm 45 3 be be VB cord-273199-xmq502gm 45 4 practically practically RB cord-273199-xmq502gm 45 5 seen see VBN cord-273199-xmq502gm 45 6 as as IN cord-273199-xmq502gm 45 7 follows follow VBZ cord-273199-xmq502gm 45 8 . . . cord-273199-xmq502gm 46 1 Before before IN cord-273199-xmq502gm 46 2 the the DT cord-273199-xmq502gm 46 3 prevention prevention NN cord-273199-xmq502gm 46 4 measures measure NNS cord-273199-xmq502gm 46 5 are be VBP cord-273199-xmq502gm 46 6 implemented implement VBN cord-273199-xmq502gm 46 7 , , , cord-273199-xmq502gm 46 8 approximately approximately RB cord-273199-xmq502gm 46 9 it -PRON- PRP cord-273199-xmq502gm 46 10 reveals reveal VBZ cord-273199-xmq502gm 46 11 itself -PRON- PRP cord-273199-xmq502gm 46 12 in in IN cord-273199-xmq502gm 46 13 the the DT cord-273199-xmq502gm 46 14 growth growth NN cord-273199-xmq502gm 46 15 ∼ ∼ NNP cord-273199-xmq502gm 46 16 t t NNP cord-273199-xmq502gm 46 17 c c NNP cord-273199-xmq502gm 46 18 of of IN cord-273199-xmq502gm 46 19 the the DT cord-273199-xmq502gm 46 20 total total JJ cord-273199-xmq502gm 46 21 number number NN cord-273199-xmq502gm 46 22 of of IN cord-273199-xmq502gm 46 23 detected detect VBN cord-273199-xmq502gm 46 24 infections infection NNS cord-273199-xmq502gm 46 25 , , , cord-273199-xmq502gm 46 26 where where WRB cord-273199-xmq502gm 46 27 t t NNP cord-273199-xmq502gm 46 28 is be VBZ cord-273199-xmq502gm 46 29 time time NN cord-273199-xmq502gm 46 30 . . . cord-273199-xmq502gm 47 1 For for IN cord-273199-xmq502gm 47 2 Covid-19 Covid-19 NNP cord-273199-xmq502gm 47 3 , , , cord-273199-xmq502gm 47 4 c c NNP cord-273199-xmq502gm 47 5 is be VBZ cord-273199-xmq502gm 47 6 around around RB cord-273199-xmq502gm 47 7 2 2 CD cord-273199-xmq502gm 47 8 , , , cord-273199-xmq502gm 47 9 which which WDT cord-273199-xmq502gm 47 10 results result VBZ cord-273199-xmq502gm 47 11 in in IN cord-273199-xmq502gm 47 12 the the DT cord-273199-xmq502gm 47 13 quadratic quadratic JJ cord-273199-xmq502gm 47 14 growth growth NN cord-273199-xmq502gm 47 15 of of IN cord-273199-xmq502gm 47 16 total total JJ cord-273199-xmq502gm 47 17 number number NN cord-273199-xmq502gm 47 18 of of IN cord-273199-xmq502gm 47 19 infections infection NNS cord-273199-xmq502gm 47 20 after after IN cord-273199-xmq502gm 47 21 a a DT cord-273199-xmq502gm 47 22 short short JJ cord-273199-xmq502gm 47 23 period period NN cord-273199-xmq502gm 47 24 of of IN cord-273199-xmq502gm 47 25 its -PRON- PRP$ cord-273199-xmq502gm 47 26 exponential exponential JJ cord-273199-xmq502gm 47 27 growth growth NN cord-273199-xmq502gm 47 28 . . . cord-273199-xmq502gm 48 1 Upon upon IN cord-273199-xmq502gm 48 2 the the DT cord-273199-xmq502gm 48 3 active active JJ cord-273199-xmq502gm 48 4 management management NN cord-273199-xmq502gm 48 5 of of IN cord-273199-xmq502gm 48 6 Covid-19 Covid-19 NNP cord-273199-xmq502gm 48 7 , , , cord-273199-xmq502gm 48 8 the the DT cord-273199-xmq502gm 48 9 growth growth NN cord-273199-xmq502gm 48 10 quickly quickly RB cord-273199-xmq502gm 48 11 becomes become VBZ cord-273199-xmq502gm 48 12 t t NN cord-273199-xmq502gm 48 13 c/2 c/2 FW cord-273199-xmq502gm 48 14 , , , cord-273199-xmq502gm 48 15 i.e. i.e. FW cord-273199-xmq502gm 48 16 essentially essentially RB cord-273199-xmq502gm 48 17 linear linear JJ cord-273199-xmq502gm 48 18 , , , cord-273199-xmq502gm 48 19 which which WDT cord-273199-xmq502gm 48 20 is be VBZ cord-273199-xmq502gm 48 21 part part NN cord-273199-xmq502gm 48 22 of of IN cord-273199-xmq502gm 48 23 our -PRON- PRP$ cord-273199-xmq502gm 48 24 theory theory NN cord-273199-xmq502gm 48 25 in in IN cord-273199-xmq502gm 48 26 [ [ -LRB- cord-273199-xmq502gm 48 27 6 6 CD cord-273199-xmq502gm 48 28 ] ] -RRB- cord-273199-xmq502gm 48 29 . . . cord-273199-xmq502gm 49 1 This this DT cord-273199-xmq502gm 49 2 can can MD cord-273199-xmq502gm 49 3 be be VB cord-273199-xmq502gm 49 4 observed observe VBN cord-273199-xmq502gm 49 5 in in IN cord-273199-xmq502gm 49 6 many many JJ cord-273199-xmq502gm 49 7 countries country NNS cord-273199-xmq502gm 49 8 . . . cord-273199-xmq502gm 50 1 Ending end VBG cord-273199-xmq502gm 50 2 epidemics epidemic NNS cord-273199-xmq502gm 50 3 . . . cord-273199-xmq502gm 51 1 The the DT cord-273199-xmq502gm 51 2 " " `` cord-273199-xmq502gm 51 3 power power NN cord-273199-xmq502gm 51 4 law law NN cord-273199-xmq502gm 51 5 " " '' cord-273199-xmq502gm 51 6 is be VBZ cord-273199-xmq502gm 51 7 only only RB cord-273199-xmq502gm 51 8 a a DT cord-273199-xmq502gm 51 9 starting starting NN cord-273199-xmq502gm 51 10 point point NN cord-273199-xmq502gm 51 11 of of IN cord-273199-xmq502gm 51 12 our -PRON- PRP$ cord-273199-xmq502gm 51 13 analysis analysis NN cord-273199-xmq502gm 51 14 . . . cord-273199-xmq502gm 52 1 The the DT cord-273199-xmq502gm 52 2 main main JJ cord-273199-xmq502gm 52 3 problem problem NN cord-273199-xmq502gm 52 4 is be VBZ cord-273199-xmq502gm 52 5 of of IN cord-273199-xmq502gm 52 6 course course NN cord-273199-xmq502gm 52 7 to to TO cord-273199-xmq502gm 52 8 " " `` cord-273199-xmq502gm 52 9 add add VB cord-273199-xmq502gm 52 10 " " '' cord-273199-xmq502gm 52 11 here here RB cord-273199-xmq502gm 52 12 some some DT cord-273199-xmq502gm 52 13 mechanisms mechanism NNS cord-273199-xmq502gm 52 14 ending end VBG cord-273199-xmq502gm 52 15 epidemics epidemic NNS cord-273199-xmq502gm 52 16 and and CC cord-273199-xmq502gm 52 17 then then RB cord-273199-xmq502gm 52 18 prevent prevent VB cord-273199-xmq502gm 52 19 their -PRON- PRP$ cord-273199-xmq502gm 52 20 possible possible JJ cord-273199-xmq502gm 52 21 recurrence recurrence NN cord-273199-xmq502gm 52 22 . . . cord-273199-xmq502gm 53 1 These these DT cord-273199-xmq502gm 53 2 are be VBP cord-273199-xmq502gm 53 3 major major JJ cord-273199-xmq502gm 53 4 challenges challenge NNS cord-273199-xmq502gm 53 5 , , , cord-273199-xmq502gm 53 6 biologically biologically RB cord-273199-xmq502gm 53 7 , , , cord-273199-xmq502gm 53 8 psychologically psychologically RB cord-273199-xmq502gm 53 9 , , , cord-273199-xmq502gm 53 10 sociologically sociologically RB cord-273199-xmq502gm 53 11 and and CC cord-273199-xmq502gm 53 12 mathematically mathematically RB cord-273199-xmq502gm 53 13 . . . cord-273199-xmq502gm 54 1 One one PRP cord-273199-xmq502gm 54 2 can can MD cord-273199-xmq502gm 54 3 expect expect VB cord-273199-xmq502gm 54 4 this this DT cord-273199-xmq502gm 54 5 megaproblem megaproblem NN cord-273199-xmq502gm 54 6 to to TO cord-273199-xmq502gm 54 7 be be VB cord-273199-xmq502gm 54 8 well well RB cord-273199-xmq502gm 54 9 beyond beyond IN cord-273199-xmq502gm 54 10 the the DT cord-273199-xmq502gm 54 11 power power NN cord-273199-xmq502gm 54 12 law law NN cord-273199-xmq502gm 54 13 itself -PRON- PRP cord-273199-xmq502gm 54 14 , , , cord-273199-xmq502gm 54 15 but but CC cord-273199-xmq502gm 54 16 we -PRON- PRP cord-273199-xmq502gm 54 17 demonstrate demonstrate VBP cord-273199-xmq502gm 54 18 that that IN cord-273199-xmq502gm 54 19 mathematically mathematically RB cord-273199-xmq502gm 54 20 there there EX cord-273199-xmq502gm 54 21 is be VBZ cord-273199-xmq502gm 54 22 a a DT cord-273199-xmq502gm 54 23 path path NN cord-273199-xmq502gm 54 24 based base VBN cord-273199-xmq502gm 54 25 on on IN cord-273199-xmq502gm 54 26 Bessel Bessel NNP cord-273199-xmq502gm 54 27 functions function NNS cord-273199-xmq502gm 54 28 . . . cord-273199-xmq502gm 55 1 The the DT cord-273199-xmq502gm 55 2 power power NN cord-273199-xmq502gm 55 3 growth growth NN cord-273199-xmq502gm 55 4 alone alone RB cord-273199-xmq502gm 55 5 obviously obviously RB cord-273199-xmq502gm 55 6 can can MD cord-273199-xmq502gm 55 7 not not RB cord-273199-xmq502gm 55 8 lead lead VB cord-273199-xmq502gm 55 9 to to IN cord-273199-xmq502gm 55 10 any any DT cord-273199-xmq502gm 55 11 saturation saturation NN cord-273199-xmq502gm 55 12 . . . cord-273199-xmq502gm 56 1 We -PRON- PRP cord-273199-xmq502gm 56 2 are be VBP cord-273199-xmq502gm 56 3 of of IN cord-273199-xmq502gm 56 4 course course NN cord-273199-xmq502gm 56 5 fully fully RB cord-273199-xmq502gm 56 6 aware aware JJ cord-273199-xmq502gm 56 7 of of IN cord-273199-xmq502gm 56 8 the the DT cord-273199-xmq502gm 56 9 statistical statistical JJ cord-273199-xmq502gm 56 10 nature nature NN cord-273199-xmq502gm 56 11 of of IN cord-273199-xmq502gm 56 12 the the DT cord-273199-xmq502gm 56 13 problem problem NN cord-273199-xmq502gm 56 14 , , , cord-273199-xmq502gm 56 15 but but CC cord-273199-xmq502gm 56 16 the the DT cord-273199-xmq502gm 56 17 formula formula NN cord-273199-xmq502gm 56 18 for for IN cord-273199-xmq502gm 56 19 the the DT cord-273199-xmq502gm 56 20 growth growth NN cord-273199-xmq502gm 56 21 of of IN cord-273199-xmq502gm 56 22 the the DT cord-273199-xmq502gm 56 23 total total JJ cord-273199-xmq502gm 56 24 number number NN cord-273199-xmq502gm 56 25 of of IN cord-273199-xmq502gm 56 26 infections infection NNS cord-273199-xmq502gm 56 27 we -PRON- PRP cord-273199-xmq502gm 56 28 propose propose VBP cord-273199-xmq502gm 56 29 works work NNS cord-273199-xmq502gm 56 30 almost almost RB cord-273199-xmq502gm 56 31 with with IN cord-273199-xmq502gm 56 32 an an DT cord-273199-xmq502gm 56 33 accuracy accuracy NN cord-273199-xmq502gm 56 34 of of IN cord-273199-xmq502gm 56 35 fundamental fundamental JJ cord-273199-xmq502gm 56 36 physics physics NN cord-273199-xmq502gm 56 37 laws law NNS cord-273199-xmq502gm 56 38 . . . cord-273199-xmq502gm 57 1 This this DT cord-273199-xmq502gm 57 2 is be VBZ cord-273199-xmq502gm 57 3 very very RB cord-273199-xmq502gm 57 4 surprising surprising JJ cord-273199-xmq502gm 57 5 for for IN cord-273199-xmq502gm 57 6 such such JJ cord-273199-xmq502gm 57 7 stochastic stochastic JJ cord-273199-xmq502gm 57 8 processes process NNS cord-273199-xmq502gm 57 9 as as IN cord-273199-xmq502gm 57 10 epidemics epidemic NNS cord-273199-xmq502gm 57 11 . . . cord-273199-xmq502gm 57 12 . . . cord-273199-xmq502gm 58 1 CC CC NNP cord-273199-xmq502gm 58 2 - - HYPH cord-273199-xmq502gm 58 3 BY BY NNP cord-273199-xmq502gm 58 4 - - HYPH cord-273199-xmq502gm 58 5 NC NC NNP cord-273199-xmq502gm 58 6 - - HYPH cord-273199-xmq502gm 58 7 ND ND NNP cord-273199-xmq502gm 58 8 4.0 4.0 CD cord-273199-xmq502gm 58 9 International international JJ cord-273199-xmq502gm 58 10 license license NN cord-273199-xmq502gm 59 1 It -PRON- PRP cord-273199-xmq502gm 59 2 is be VBZ cord-273199-xmq502gm 59 3 made make VBN cord-273199-xmq502gm 59 4 available available JJ cord-273199-xmq502gm 59 5 under under IN cord-273199-xmq502gm 59 6 a a DT cord-273199-xmq502gm 60 1 is be VBZ cord-273199-xmq502gm 60 2 the the DT cord-273199-xmq502gm 60 3 author author NN cord-273199-xmq502gm 60 4 / / SYM cord-273199-xmq502gm 60 5 funder funder NN cord-273199-xmq502gm 60 6 , , , cord-273199-xmq502gm 60 7 who who WP cord-273199-xmq502gm 60 8 has have VBZ cord-273199-xmq502gm 60 9 granted grant VBN cord-273199-xmq502gm 60 10 medRxiv medRxiv NNS cord-273199-xmq502gm 60 11 a a DT cord-273199-xmq502gm 60 12 license license NN cord-273199-xmq502gm 60 13 to to TO cord-273199-xmq502gm 60 14 display display VB cord-273199-xmq502gm 60 15 the the DT cord-273199-xmq502gm 60 16 preprint preprint NN cord-273199-xmq502gm 60 17 in in IN cord-273199-xmq502gm 60 18 perpetuity perpetuity NN cord-273199-xmq502gm 60 19 . . . cord-273199-xmq502gm 61 1 ( ( -LRB- cord-273199-xmq502gm 61 2 which which WDT cord-273199-xmq502gm 61 3 was be VBD cord-273199-xmq502gm 61 4 not not RB cord-273199-xmq502gm 61 5 certified certify VBN cord-273199-xmq502gm 61 6 by by IN cord-273199-xmq502gm 61 7 peer peer NN cord-273199-xmq502gm 61 8 review review NN cord-273199-xmq502gm 61 9 ) ) -RRB- cord-273199-xmq502gm 62 1 The the DT cord-273199-xmq502gm 62 2 copyright copyright NN cord-273199-xmq502gm 62 3 holder holder NN cord-273199-xmq502gm 62 4 for for IN cord-273199-xmq502gm 62 5 this this DT cord-273199-xmq502gm 62 6 preprint preprint NN cord-273199-xmq502gm 62 7 this this DT cord-273199-xmq502gm 62 8 version version NN cord-273199-xmq502gm 62 9 posted post VBN cord-273199-xmq502gm 62 10 May May NNP cord-273199-xmq502gm 62 11 2 2 CD cord-273199-xmq502gm 62 12 , , , cord-273199-xmq502gm 62 13 2020 2020 CD cord-273199-xmq502gm 62 14 . . . cord-273199-xmq502gm 62 15 . . . cord-273199-xmq502gm 63 1 https://doi.org/10.1101/2020.04.29.20084483 https://doi.org/10.1101/2020.04.29.20084483 NN cord-273199-xmq502gm 63 2 doi doi NN cord-273199-xmq502gm 63 3 : : : cord-273199-xmq502gm 64 1 medRxiv medRxiv NNP cord-273199-xmq502gm 64 2 preprint preprint NNP cord-273199-xmq502gm 65 1 An an DT cord-273199-xmq502gm 65 2 important important JJ cord-273199-xmq502gm 65 3 outcome outcome NN cord-273199-xmq502gm 65 4 of of IN cord-273199-xmq502gm 65 5 our -PRON- PRP$ cord-273199-xmq502gm 65 6 modeling modeling NN cord-273199-xmq502gm 65 7 is be VBZ cord-273199-xmq502gm 65 8 that that IN cord-273199-xmq502gm 65 9 the the DT cord-273199-xmq502gm 65 10 measures measure NNS cord-273199-xmq502gm 65 11 of of IN cord-273199-xmq502gm 65 12 " " `` cord-273199-xmq502gm 65 13 hard hard JJ cord-273199-xmq502gm 65 14 type type NN cord-273199-xmq502gm 65 15 " " '' cord-273199-xmq502gm 65 16 , , , cord-273199-xmq502gm 65 17 like like IN cord-273199-xmq502gm 65 18 detecting detect VBG cord-273199-xmq502gm 65 19 and and CC cord-273199-xmq502gm 65 20 isolating isolate VBG cord-273199-xmq502gm 65 21 infected infected JJ cord-273199-xmq502gm 65 22 people people NNS cord-273199-xmq502gm 65 23 and and CC cord-273199-xmq502gm 65 24 closing close VBG cord-273199-xmq502gm 65 25 the the DT cord-273199-xmq502gm 65 26 places place NNS cord-273199-xmq502gm 65 27 where where WRB cord-273199-xmq502gm 65 28 the the DT cord-273199-xmq502gm 65 29 spread spread NN cord-273199-xmq502gm 65 30 is be VBZ cord-273199-xmq502gm 65 31 almost almost RB cord-273199-xmq502gm 65 32 inevitable inevitable JJ cord-273199-xmq502gm 65 33 , , , cord-273199-xmq502gm 65 34 are be VBP cord-273199-xmq502gm 65 35 the the DT cord-273199-xmq502gm 65 36 key key NN cord-273199-xmq502gm 65 37 for for IN cord-273199-xmq502gm 65 38 ending end VBG cord-273199-xmq502gm 65 39 an an DT cord-273199-xmq502gm 65 40 epidemic epidemic NN cord-273199-xmq502gm 65 41 . . . cord-273199-xmq502gm 66 1 Moreover moreover RB cord-273199-xmq502gm 66 2 , , , cord-273199-xmq502gm 66 3 such such JJ cord-273199-xmq502gm 66 4 measures measure NNS cord-273199-xmq502gm 66 5 must must MD cord-273199-xmq502gm 66 6 be be VB cord-273199-xmq502gm 66 7 employed employ VBN cord-273199-xmq502gm 66 8 strictly strictly RB cord-273199-xmq502gm 66 9 proportionally proportionally RB cord-273199-xmq502gm 66 10 to to IN cord-273199-xmq502gm 66 11 the the DT cord-273199-xmq502gm 66 12 current current JJ cord-273199-xmq502gm 66 13 numbers number NNS cord-273199-xmq502gm 66 14 of of IN cord-273199-xmq502gm 66 15 infections infection NNS cord-273199-xmq502gm 66 16 , , , cord-273199-xmq502gm 66 17 not not RB cord-273199-xmq502gm 66 18 to to IN cord-273199-xmq502gm 66 19 its -PRON- PRP$ cord-273199-xmq502gm 66 20 derivative derivative NN cord-273199-xmq502gm 66 21 of of IN cord-273199-xmq502gm 66 22 any any DT cord-273199-xmq502gm 66 23 kind kind NN cord-273199-xmq502gm 66 24 , , , cord-273199-xmq502gm 66 25 which which WDT cord-273199-xmq502gm 66 26 is be VBZ cord-273199-xmq502gm 66 27 the the DT cord-273199-xmq502gm 66 28 most most RBS cord-273199-xmq502gm 66 29 aggressive aggressive JJ cord-273199-xmq502gm 66 30 " " `` cord-273199-xmq502gm 66 31 momentum momentum NN cord-273199-xmq502gm 66 32 " " '' cord-273199-xmq502gm 66 33 way way NN cord-273199-xmq502gm 66 34 to to TO cord-273199-xmq502gm 66 35 react react VB cord-273199-xmq502gm 66 36 to to IN cord-273199-xmq502gm 66 37 them -PRON- PRP cord-273199-xmq502gm 66 38 , , , cord-273199-xmq502gm 66 39 the the DT cord-273199-xmq502gm 66 40 " " `` cord-273199-xmq502gm 66 41 hardest hard RBS cord-273199-xmq502gm 66 42 " " '' cord-273199-xmq502gm 66 43 possible possible JJ cord-273199-xmq502gm 66 44 as as IN cord-273199-xmq502gm 66 45 we -PRON- PRP cord-273199-xmq502gm 66 46 will will MD cord-273199-xmq502gm 66 47 explain explain VB cord-273199-xmq502gm 66 48 now now RB cord-273199-xmq502gm 66 49 . . . cord-273199-xmq502gm 67 1 For for IN cord-273199-xmq502gm 67 2 instance instance NN cord-273199-xmq502gm 67 3 , , , cord-273199-xmq502gm 67 4 if if IN cord-273199-xmq502gm 67 5 the the DT cord-273199-xmq502gm 67 6 number number NN cord-273199-xmq502gm 67 7 of of IN cord-273199-xmq502gm 67 8 infections infection NNS cord-273199-xmq502gm 67 9 doubled double VBD cord-273199-xmq502gm 67 10 during during IN cord-273199-xmq502gm 67 11 some some DT cord-273199-xmq502gm 67 12 period period NN cord-273199-xmq502gm 67 13 , , , cord-273199-xmq502gm 67 14 then then RB cord-273199-xmq502gm 67 15 the the DT cord-273199-xmq502gm 67 16 operation operation NN cord-273199-xmq502gm 67 17 formula formula NN cord-273199-xmq502gm 67 18 from from IN cord-273199-xmq502gm 67 19 [ [ -LRB- cord-273199-xmq502gm 67 20 6 6 CD cord-273199-xmq502gm 67 21 ] ] -RRB- cord-273199-xmq502gm 67 22 requires require VBZ cord-273199-xmq502gm 67 23 that that IN cord-273199-xmq502gm 67 24 testing testing NN cord-273199-xmq502gm 67 25 must must MD cord-273199-xmq502gm 67 26 be be VB cord-273199-xmq502gm 67 27 increased increase VBN cord-273199-xmq502gm 67 28 4-fold 4-fold CD cord-273199-xmq502gm 67 29 . . . cord-273199-xmq502gm 68 1 Assuming assume VBG cord-273199-xmq502gm 68 2 that that IN cord-273199-xmq502gm 68 3 we -PRON- PRP cord-273199-xmq502gm 68 4 approach approach VBP cord-273199-xmq502gm 68 5 the the DT cord-273199-xmq502gm 68 6 saturation saturation NN cord-273199-xmq502gm 68 7 , , , cord-273199-xmq502gm 68 8 where where WRB cord-273199-xmq502gm 68 9 the the DT cord-273199-xmq502gm 68 10 number number NN cord-273199-xmq502gm 68 11 of of IN cord-273199-xmq502gm 68 12 new new JJ cord-273199-xmq502gm 68 13 infections infection NNS cord-273199-xmq502gm 68 14 becomes become VBZ cord-273199-xmq502gm 68 15 almost almost RB cord-273199-xmq502gm 68 16 zero zero CD cord-273199-xmq502gm 68 17 , , , cord-273199-xmq502gm 68 18 the the DT cord-273199-xmq502gm 68 19 " " `` cord-273199-xmq502gm 68 20 hard hard JJ cord-273199-xmq502gm 68 21 way way NN cord-273199-xmq502gm 68 22 " " '' cord-273199-xmq502gm 68 23 is be VBZ cord-273199-xmq502gm 68 24 to to TO cord-273199-xmq502gm 68 25 keep keep VB cord-273199-xmq502gm 68 26 testing testing NN cord-273199-xmq502gm 68 27 at at IN cord-273199-xmq502gm 68 28 the the DT cord-273199-xmq502gm 68 29 same same JJ cord-273199-xmq502gm 68 30 level level NN cord-273199-xmq502gm 68 31 as as IN cord-273199-xmq502gm 68 32 before before RB cord-273199-xmq502gm 68 33 , , , cord-273199-xmq502gm 68 34 i.e. i.e. FW cord-273199-xmq502gm 68 35 performing perform VBG cord-273199-xmq502gm 68 36 the the DT cord-273199-xmq502gm 68 37 same same JJ cord-273199-xmq502gm 68 38 number number NN cord-273199-xmq502gm 68 39 of of IN cord-273199-xmq502gm 68 40 tests test NNS cord-273199-xmq502gm 68 41 every every DT cord-273199-xmq502gm 68 42 day day NN cord-273199-xmq502gm 68 43 . . . cord-273199-xmq502gm 69 1 This this DT cord-273199-xmq502gm 69 2 is be VBZ cord-273199-xmq502gm 69 3 in in IN cord-273199-xmq502gm 69 4 spite spite NN cord-273199-xmq502gm 69 5 of of IN cord-273199-xmq502gm 69 6 almost almost RB cord-273199-xmq502gm 69 7 zero zero CD cord-273199-xmq502gm 69 8 number number NN cord-273199-xmq502gm 69 9 of of IN cord-273199-xmq502gm 69 10 new new JJ cord-273199-xmq502gm 69 11 infections infection NNS cord-273199-xmq502gm 69 12 . . . cord-273199-xmq502gm 70 1 Practically practically RB cord-273199-xmq502gm 70 2 , , , cord-273199-xmq502gm 70 3 this this DT cord-273199-xmq502gm 70 4 is be VBZ cord-273199-xmq502gm 70 5 not not RB cord-273199-xmq502gm 70 6 always always RB cord-273199-xmq502gm 70 7 the the DT cord-273199-xmq502gm 70 8 case case NN cord-273199-xmq502gm 70 9 . . . cord-273199-xmq502gm 71 1 If if IN cord-273199-xmq502gm 71 2 we -PRON- PRP cord-273199-xmq502gm 71 3 react react VBP cord-273199-xmq502gm 71 4 to to IN cord-273199-xmq502gm 71 5 the the DT cord-273199-xmq502gm 71 6 average average JJ cord-273199-xmq502gm 71 7 number number NN cord-273199-xmq502gm 71 8 instead instead RB cord-273199-xmq502gm 71 9 of of IN cord-273199-xmq502gm 71 10 the the DT cord-273199-xmq502gm 71 11 absolute absolute JJ cord-273199-xmq502gm 71 12 number number NN cord-273199-xmq502gm 71 13 of of IN cord-273199-xmq502gm 71 14 infections infection NNS cord-273199-xmq502gm 71 15 , , , cord-273199-xmq502gm 71 16 then then RB cord-273199-xmq502gm 71 17 we -PRON- PRP cord-273199-xmq502gm 71 18 are be VBP cord-273199-xmq502gm 71 19 supposed suppose VBN cord-273199-xmq502gm 71 20 to to TO cord-273199-xmq502gm 71 21 stop stop VB cord-273199-xmq502gm 71 22 testing test VBG cord-273199-xmq502gm 71 23 and and CC cord-273199-xmq502gm 71 24 other other JJ cord-273199-xmq502gm 71 25 measures measure NNS cord-273199-xmq502gm 71 26 when when WRB cord-273199-xmq502gm 71 27 there there EX cord-273199-xmq502gm 71 28 are be VBP cord-273199-xmq502gm 71 29 no no DT cord-273199-xmq502gm 71 30 new new JJ cord-273199-xmq502gm 71 31 " " `` cord-273199-xmq502gm 71 32 cases case NNS cord-273199-xmq502gm 71 33 " " '' cord-273199-xmq502gm 71 34 . . . cord-273199-xmq502gm 72 1 This this DT cord-273199-xmq502gm 72 2 is be VBZ cord-273199-xmq502gm 72 3 the the DT cord-273199-xmq502gm 72 4 " " `` cord-273199-xmq502gm 72 5 soft soft JJ cord-273199-xmq502gm 72 6 way way NN cord-273199-xmq502gm 72 7 " " '' cord-273199-xmq502gm 72 8 . . . cord-273199-xmq502gm 73 1 If if IN cord-273199-xmq502gm 73 2 this this DT cord-273199-xmq502gm 73 3 is be VBZ cord-273199-xmq502gm 73 4 coupled couple VBN cord-273199-xmq502gm 73 5 with with IN cord-273199-xmq502gm 73 6 " " `` cord-273199-xmq502gm 73 7 soft soft JJ cord-273199-xmq502gm 73 8 " " '' cord-273199-xmq502gm 73 9 measures measure NNS cord-273199-xmq502gm 73 10 ( ( -LRB- cord-273199-xmq502gm 73 11 see see VB cord-273199-xmq502gm 73 12 below below RB cord-273199-xmq502gm 73 13 ) ) -RRB- cord-273199-xmq502gm 73 14 , , , cord-273199-xmq502gm 73 15 then then RB cord-273199-xmq502gm 73 16 mathematically mathematically RB cord-273199-xmq502gm 73 17 the the DT cord-273199-xmq502gm 73 18 epidemic epidemic NN cord-273199-xmq502gm 73 19 will will MD cord-273199-xmq502gm 73 20 never never RB cord-273199-xmq502gm 73 21 reach reach VB cord-273199-xmq502gm 73 22 the the DT cord-273199-xmq502gm 73 23 saturation saturation NN cord-273199-xmq502gm 73 24 point point NN cord-273199-xmq502gm 73 25 . . . cord-273199-xmq502gm 74 1 The the DT cord-273199-xmq502gm 74 2 u u NN cord-273199-xmq502gm 74 3 - - HYPH cord-273199-xmq502gm 74 4 formula formula NN cord-273199-xmq502gm 74 5 . . . cord-273199-xmq502gm 75 1 The the DT cord-273199-xmq502gm 75 2 intensity intensity NN cord-273199-xmq502gm 75 3 of of IN cord-273199-xmq502gm 75 4 " " `` cord-273199-xmq502gm 75 5 hard hard JJ cord-273199-xmq502gm 75 6 " " '' cord-273199-xmq502gm 75 7 measures measure NNS cord-273199-xmq502gm 75 8 will will MD cord-273199-xmq502gm 75 9 be be VB cord-273199-xmq502gm 75 10 denoted denote VBN cord-273199-xmq502gm 75 11 by by IN cord-273199-xmq502gm 75 12 a a DT cord-273199-xmq502gm 75 13 in in IN cord-273199-xmq502gm 75 14 this this DT cord-273199-xmq502gm 75 15 article article NN cord-273199-xmq502gm 75 16 . . . cord-273199-xmq502gm 76 1 Upon upon IN cord-273199-xmq502gm 76 2 composing compose VBG cord-273199-xmq502gm 76 3 the the DT cord-273199-xmq502gm 76 4 corresponding corresponding JJ cord-273199-xmq502gm 76 5 differential differential JJ cord-273199-xmq502gm 76 6 equations equation NNS cord-273199-xmq502gm 76 7 and and CC cord-273199-xmq502gm 76 8 integrating integrate VBG cord-273199-xmq502gm 76 9 them -PRON- PRP cord-273199-xmq502gm 76 10 we -PRON- PRP cord-273199-xmq502gm 76 11 obtain obtain VBP cord-273199-xmq502gm 76 12 the the DT cord-273199-xmq502gm 76 13 following following NN cord-273199-xmq502gm 76 14 . . . cord-273199-xmq502gm 77 1 The the DT cord-273199-xmq502gm 77 2 function function NN cord-273199-xmq502gm 77 3 for for IN cord-273199-xmq502gm 77 4 the the DT cord-273199-xmq502gm 77 5 Bessel Bessel NNP cord-273199-xmq502gm 77 6 function function NN cord-273199-xmq502gm 77 7 J J NNP cord-273199-xmq502gm 77 8 α α NNP cord-273199-xmq502gm 77 9 ( ( -LRB- cord-273199-xmq502gm 77 10 x x NN cord-273199-xmq502gm 77 11 ) ) -RRB- cord-273199-xmq502gm 77 12 of of IN cord-273199-xmq502gm 77 13 the the DT cord-273199-xmq502gm 77 14 first first JJ cord-273199-xmq502gm 77 15 kind kind NN cord-273199-xmq502gm 77 16 models model NNS cord-273199-xmq502gm 77 17 the the DT cord-273199-xmq502gm 77 18 growth growth NN cord-273199-xmq502gm 77 19 total total JJ cord-273199-xmq502gm 77 20 number number NN cord-273199-xmq502gm 77 21 of of IN cord-273199-xmq502gm 77 22 infections infection NNS cord-273199-xmq502gm 77 23 , , , cord-273199-xmq502gm 77 24 where where WRB cord-273199-xmq502gm 77 25 C C NNP cord-273199-xmq502gm 77 26 is be VBZ cord-273199-xmq502gm 77 27 the the DT cord-273199-xmq502gm 77 28 scaling scale VBG cord-273199-xmq502gm 77 29 parameter parameter NN cord-273199-xmq502gm 77 30 necessary necessary JJ cord-273199-xmq502gm 77 31 to to TO cord-273199-xmq502gm 77 32 adjust adjust VB cord-273199-xmq502gm 77 33 this this DT cord-273199-xmq502gm 77 34 formula formula NN cord-273199-xmq502gm 77 35 to to IN cord-273199-xmq502gm 77 36 the the DT cord-273199-xmq502gm 77 37 actual actual JJ cord-273199-xmq502gm 77 38 numbers number NNS cord-273199-xmq502gm 77 39 . . . cord-273199-xmq502gm 78 1 Here here RB cord-273199-xmq502gm 78 2 and and CC cord-273199-xmq502gm 78 3 below below IN cord-273199-xmq502gm 78 4 time time NN cord-273199-xmq502gm 78 5 t t NNP cord-273199-xmq502gm 78 6 is be VBZ cord-273199-xmq502gm 78 7 normalized normalize VBN cord-273199-xmq502gm 78 8 days/10 days/10 NNP cord-273199-xmq502gm 78 9 for for IN cord-273199-xmq502gm 78 10 the the DT cord-273199-xmq502gm 78 11 number number NN cord-273199-xmq502gm 78 12 of of IN cord-273199-xmq502gm 78 13 days day NNS cord-273199-xmq502gm 78 14 from from IN cord-273199-xmq502gm 78 15 the the DT cord-273199-xmq502gm 78 16 beginning beginning NN cord-273199-xmq502gm 78 17 of of IN cord-273199-xmq502gm 78 18 the the DT cord-273199-xmq502gm 78 19 period period NN cord-273199-xmq502gm 78 20 of of IN cord-273199-xmq502gm 78 21 the the DT cord-273199-xmq502gm 78 22 intense intense JJ cord-273199-xmq502gm 78 23 growth growth NN cord-273199-xmq502gm 78 24 of of IN cord-273199-xmq502gm 78 25 the the DT cord-273199-xmq502gm 78 26 epidemic epidemic NN cord-273199-xmq502gm 78 27 . . . cord-273199-xmq502gm 79 1 This this DT cord-273199-xmq502gm 79 2 functions function NNS cord-273199-xmq502gm 79 3 matches match VBZ cord-273199-xmq502gm 79 4 the the DT cord-273199-xmq502gm 79 5 total total JJ cord-273199-xmq502gm 79 6 number number NN cord-273199-xmq502gm 79 7 of of IN cord-273199-xmq502gm 79 8 infections infection NNS cord-273199-xmq502gm 79 9 with with IN cord-273199-xmq502gm 79 10 high high JJ cord-273199-xmq502gm 79 11 accuracy accuracy NN cord-273199-xmq502gm 79 12 . . . cord-273199-xmq502gm 80 1 The the DT cord-273199-xmq502gm 80 2 parameter parameter NN cord-273199-xmq502gm 80 3 a a NN cord-273199-xmq502gm 80 4 is be VBZ cord-273199-xmq502gm 80 5 0.2 0.2 CD cord-273199-xmq502gm 80 6 for for IN cord-273199-xmq502gm 80 7 the the DT cord-273199-xmq502gm 80 8 USA USA NNP cord-273199-xmq502gm 80 9 and and CC cord-273199-xmq502gm 80 10 UK UK NNP cord-273199-xmq502gm 80 11 ; ; : cord-273199-xmq502gm 80 12 it -PRON- PRP cord-273199-xmq502gm 80 13 can can MD cord-273199-xmq502gm 80 14 be be VB cord-273199-xmq502gm 80 15 about about RB cord-273199-xmq502gm 80 16 0.3 0.3 CD cord-273199-xmq502gm 80 17 for for IN cord-273199-xmq502gm 80 18 countries country NNS cord-273199-xmq502gm 80 19 with with IN cord-273199-xmq502gm 80 20 somewhat somewhat RB cord-273199-xmq502gm 80 21 more more RBR cord-273199-xmq502gm 80 22 proactive proactive JJ cord-273199-xmq502gm 80 23 approach approach NN cord-273199-xmq502gm 80 24 , , , cord-273199-xmq502gm 80 25 like like IN cord-273199-xmq502gm 80 26 Austria Austria NNP cord-273199-xmq502gm 80 27 and and CC cord-273199-xmq502gm 80 28 Israel Israel NNP cord-273199-xmq502gm 80 29 , , , cord-273199-xmq502gm 80 30 and and CC cord-273199-xmq502gm 80 31 it -PRON- PRP cord-273199-xmq502gm 80 32 becomes become VBZ cord-273199-xmq502gm 80 33 0.15 0.15 CD cord-273199-xmq502gm 80 34 and and CC cord-273199-xmq502gm 80 35 even even RB cord-273199-xmq502gm 80 36 0.1 0.1 CD cord-273199-xmq502gm 80 37 for for IN cord-273199-xmq502gm 80 38 " " `` cord-273199-xmq502gm 80 39 the the DT cord-273199-xmq502gm 80 40 world world NN cord-273199-xmq502gm 80 41 " " '' cord-273199-xmq502gm 80 42 and and CC cord-273199-xmq502gm 80 43 Sweden Sweden NNP cord-273199-xmq502gm 80 44 . . . cord-273199-xmq502gm 81 1 The the DT cord-273199-xmq502gm 81 2 basic basic JJ cord-273199-xmq502gm 81 3 transmission transmission NN cord-273199-xmq502gm 81 4 rates rate NNS cord-273199-xmq502gm 81 5 are be VBP cord-273199-xmq502gm 81 6 : : : cord-273199-xmq502gm 81 7 c c NN cord-273199-xmq502gm 81 8 = = SYM cord-273199-xmq502gm 81 9 2.2 2.2 CD cord-273199-xmq502gm 81 10 for for IN cord-273199-xmq502gm 81 11 the the DT cord-273199-xmq502gm 81 12 USA USA NNP cord-273199-xmq502gm 81 13 , , , cord-273199-xmq502gm 81 14 c c NN cord-273199-xmq502gm 81 15 = = SYM cord-273199-xmq502gm 81 16 2.4 2.4 CD cord-273199-xmq502gm 81 17 for for IN cord-273199-xmq502gm 81 18 UK UK NNP cord-273199-xmq502gm 81 19 , , , cord-273199-xmq502gm 81 20 Sweden Sweden NNP cord-273199-xmq502gm 81 21 , , , cord-273199-xmq502gm 81 22 and and CC cord-273199-xmq502gm 81 23 it -PRON- PRP cord-273199-xmq502gm 81 24 is be VBZ cord-273199-xmq502gm 81 25 currently currently RB cord-273199-xmq502gm 81 26 2.8 2.8 CD cord-273199-xmq502gm 81 27 for for IN cord-273199-xmq502gm 81 28 " " `` cord-273199-xmq502gm 81 29 the the DT cord-273199-xmq502gm 81 30 world world NN cord-273199-xmq502gm 81 31 " " '' cord-273199-xmq502gm 81 32 . . . cord-273199-xmq502gm 82 1 Recall recall VB cord-273199-xmq502gm 82 2 that that DT cord-273199-xmq502gm 82 3 c c LS cord-273199-xmq502gm 82 4 approximately approximately RB cord-273199-xmq502gm 82 5 corresponds correspond VBZ cord-273199-xmq502gm 82 6 to to IN cord-273199-xmq502gm 82 7 the the DT cord-273199-xmq502gm 82 8 growth growth NN cord-273199-xmq502gm 82 9 ∼ ∼ NNP cord-273199-xmq502gm 82 10 t t NNP cord-273199-xmq502gm 82 11 c c NNP cord-273199-xmq502gm 82 12 of of IN cord-273199-xmq502gm 82 13 total total JJ cord-273199-xmq502gm 82 14 infections infection NNS cord-273199-xmq502gm 82 15 in in IN cord-273199-xmq502gm 82 16 the the DT cord-273199-xmq502gm 82 17 beginning beginning NN cord-273199-xmq502gm 82 18 of of IN cord-273199-xmq502gm 82 19 the the DT cord-273199-xmq502gm 82 20 epidemic epidemic NN cord-273199-xmq502gm 82 21 , , , cord-273199-xmq502gm 82 22 when when WRB cord-273199-xmq502gm 82 23 no no DT cord-273199-xmq502gm 82 24 protection protection NN cord-273199-xmq502gm 82 25 measures measure NNS cord-273199-xmq502gm 82 26 are be VBP cord-273199-xmq502gm 82 27 in in IN cord-273199-xmq502gm 82 28 place place NN cord-273199-xmq502gm 82 29 . . . cord-273199-xmq502gm 83 1 Limitations limitation NNS cord-273199-xmq502gm 83 2 . . . cord-273199-xmq502gm 84 1 Importantly importantly RB cord-273199-xmq502gm 84 2 , , , cord-273199-xmq502gm 84 3 the the DT cord-273199-xmq502gm 84 4 function function NN cord-273199-xmq502gm 84 5 u(t u(t NNP cord-273199-xmq502gm 84 6 ) ) -RRB- cord-273199-xmq502gm 84 7 is be VBZ cord-273199-xmq502gm 84 8 proportional proportional JJ cord-273199-xmq502gm 84 9 to to IN cord-273199-xmq502gm 85 1 t t NNP cord-273199-xmq502gm 85 2 c/2 c/2 NNP cord-273199-xmq502gm 85 3 + + SYM cord-273199-xmq502gm 85 4 1 1 CD cord-273199-xmq502gm 85 5 for for IN cord-273199-xmq502gm 85 6 t t NNP cord-273199-xmq502gm 85 7 near near IN cord-273199-xmq502gm 85 8 t t NNP cord-273199-xmq502gm 85 9 = = SYM cord-273199-xmq502gm 85 10 0 0 CD cord-273199-xmq502gm 85 11 , , , cord-273199-xmq502gm 85 12 which which WDT cord-273199-xmq502gm 85 13 is be VBZ cord-273199-xmq502gm 85 14 very very RB cord-273199-xmq502gm 85 15 close close JJ cord-273199-xmq502gm 85 16 to to IN cord-273199-xmq502gm 85 17 ∼ ∼ NNP cord-273199-xmq502gm 85 18 t t NNP cord-273199-xmq502gm 85 19 c c NNP cord-273199-xmq502gm 85 20 , , , cord-273199-xmq502gm 85 21 assuming assume VBG cord-273199-xmq502gm 85 22 that that IN cord-273199-xmq502gm 85 23 c c NNP cord-273199-xmq502gm 85 24 ≈ ≈ NNP cord-273199-xmq502gm 85 25 2 2 CD cord-273199-xmq502gm 85 26 . . . cord-273199-xmq502gm 86 1 So so RB cord-273199-xmq502gm 86 2 the the DT cord-273199-xmq502gm 86 3 phase phase NN cord-273199-xmq502gm 86 4 of of IN cord-273199-xmq502gm 86 5 " " `` cord-273199-xmq502gm 86 6 parabolic parabolic JJ cord-273199-xmq502gm 86 7 growth growth NN cord-273199-xmq502gm 86 8 " " '' cord-273199-xmq502gm 86 9 is be VBZ cord-273199-xmq502gm 86 10 generally generally RB cord-273199-xmq502gm 86 11 covered cover VBN cord-273199-xmq502gm 86 12 well well RB cord-273199-xmq502gm 86 13 by by IN cord-273199-xmq502gm 86 14 the the DT cord-273199-xmq502gm 86 15 u u NN cord-273199-xmq502gm 86 16 - - HYPH cord-273199-xmq502gm 86 17 formula formula NN cord-273199-xmq502gm 86 18 too too RB cord-273199-xmq502gm 86 19 , , , cord-273199-xmq502gm 86 20 though though IN cord-273199-xmq502gm 86 21 formally formally RB cord-273199-xmq502gm 86 22 this this DT cord-273199-xmq502gm 86 23 does do VBZ cord-273199-xmq502gm 86 24 not not RB cord-273199-xmq502gm 86 25 follow follow VB cord-273199-xmq502gm 86 26 from from IN cord-273199-xmq502gm 86 27 the the DT cord-273199-xmq502gm 86 28 theory theory NN cord-273199-xmq502gm 86 29 in in IN cord-273199-xmq502gm 86 30 [ [ -LRB- cord-273199-xmq502gm 86 31 6 6 CD cord-273199-xmq502gm 86 32 ] ] -RRB- cord-273199-xmq502gm 86 33 . . . cord-273199-xmq502gm 87 1 Of of RB cord-273199-xmq502gm 87 2 course course RB cord-273199-xmq502gm 87 3 there there EX cord-273199-xmq502gm 87 4 can can MD cord-273199-xmq502gm 87 5 be be VB cord-273199-xmq502gm 87 6 other other JJ cord-273199-xmq502gm 87 7 reasons reason NNS cord-273199-xmq502gm 87 8 for for IN cord-273199-xmq502gm 87 9 u(t u(t NNP cord-273199-xmq502gm 87 10 ) ) -RRB- cord-273199-xmq502gm 87 11 to to TO cord-273199-xmq502gm 87 12 " " `` cord-273199-xmq502gm 87 13 serve serve VB cord-273199-xmq502gm 87 14 epidemics epidemic NNS cord-273199-xmq502gm 87 15 " " '' cord-273199-xmq502gm 87 16 ; ; : cord-273199-xmq502gm 87 17 it -PRON- PRP cord-273199-xmq502gm 87 18 is be VBZ cord-273199-xmq502gm 87 19 not not RB cord-273199-xmq502gm 87 20 impossible impossible JJ cord-273199-xmq502gm 87 21 that that IN cord-273199-xmq502gm 87 22 there there EX cord-273199-xmq502gm 87 23 are be VBP cord-273199-xmq502gm 87 24 connections connection NNS cord-273199-xmq502gm 87 25 to to IN cord-273199-xmq502gm 87 26 the the DT cord-273199-xmq502gm 87 27 replication replication NN cord-273199-xmq502gm 87 28 process process NN cord-273199-xmq502gm 87 29 of of IN cord-273199-xmq502gm 87 30 viruses virus NNS cord-273199-xmq502gm 87 31 , , , cord-273199-xmq502gm 87 32 but but CC cord-273199-xmq502gm 87 33 this this DT cord-273199-xmq502gm 87 34 we -PRON- PRP cord-273199-xmq502gm 87 35 do do VBP cord-273199-xmq502gm 87 36 not not RB cord-273199-xmq502gm 87 37 touch touch VB cord-273199-xmq502gm 87 38 upon upon IN cord-273199-xmq502gm 87 39 . . . cord-273199-xmq502gm 88 1 As as IN cord-273199-xmq502gm 88 2 always always RB cord-273199-xmq502gm 88 3 , , , cord-273199-xmq502gm 88 4 there there EX cord-273199-xmq502gm 88 5 are be VBP cord-273199-xmq502gm 88 6 limitations limitation NNS cord-273199-xmq502gm 88 7 , , , cord-273199-xmq502gm 88 8 which which WDT cord-273199-xmq502gm 88 9 we -PRON- PRP cord-273199-xmq502gm 88 10 will will MD cord-273199-xmq502gm 88 11 address address VB cord-273199-xmq502gm 88 12 now now RB cord-273199-xmq502gm 88 13 . . . cord-273199-xmq502gm 88 14 . . . cord-273199-xmq502gm 89 1 CC CC NNP cord-273199-xmq502gm 89 2 - - HYPH cord-273199-xmq502gm 89 3 BY BY NNP cord-273199-xmq502gm 89 4 - - HYPH cord-273199-xmq502gm 89 5 NC NC NNP cord-273199-xmq502gm 89 6 - - HYPH cord-273199-xmq502gm 89 7 ND ND NNP cord-273199-xmq502gm 89 8 4.0 4.0 CD cord-273199-xmq502gm 89 9 International international JJ cord-273199-xmq502gm 89 10 license license NN cord-273199-xmq502gm 90 1 It -PRON- PRP cord-273199-xmq502gm 90 2 is be VBZ cord-273199-xmq502gm 90 3 made make VBN cord-273199-xmq502gm 90 4 available available JJ cord-273199-xmq502gm 90 5 under under IN cord-273199-xmq502gm 90 6 a a DT cord-273199-xmq502gm 91 1 is be VBZ cord-273199-xmq502gm 91 2 the the DT cord-273199-xmq502gm 91 3 author author NN cord-273199-xmq502gm 91 4 / / SYM cord-273199-xmq502gm 91 5 funder funder NN cord-273199-xmq502gm 91 6 , , , cord-273199-xmq502gm 91 7 who who WP cord-273199-xmq502gm 91 8 has have VBZ cord-273199-xmq502gm 91 9 granted grant VBN cord-273199-xmq502gm 91 10 medRxiv medRxiv NNS cord-273199-xmq502gm 91 11 a a DT cord-273199-xmq502gm 91 12 license license NN cord-273199-xmq502gm 91 13 to to TO cord-273199-xmq502gm 91 14 display display VB cord-273199-xmq502gm 91 15 the the DT cord-273199-xmq502gm 91 16 preprint preprint NN cord-273199-xmq502gm 91 17 in in IN cord-273199-xmq502gm 91 18 perpetuity perpetuity NN cord-273199-xmq502gm 91 19 . . . cord-273199-xmq502gm 92 1 The the DT cord-273199-xmq502gm 92 2 copyright copyright NN cord-273199-xmq502gm 92 3 holder holder NN cord-273199-xmq502gm 92 4 for for IN cord-273199-xmq502gm 92 5 this this DT cord-273199-xmq502gm 92 6 preprint preprint NN cord-273199-xmq502gm 92 7 this this DT cord-273199-xmq502gm 92 8 version version NN cord-273199-xmq502gm 92 9 posted post VBN cord-273199-xmq502gm 92 10 May May NNP cord-273199-xmq502gm 92 11 2 2 CD cord-273199-xmq502gm 92 12 , , , cord-273199-xmq502gm 92 13 2020 2020 CD cord-273199-xmq502gm 92 14 . . . cord-273199-xmq502gm 92 15 . . . cord-273199-xmq502gm 93 1 https://doi.org/10.1101/2020.04.29.20084483 https://doi.org/10.1101/2020.04.29.20084483 NN cord-273199-xmq502gm 93 2 doi doi NN cord-273199-xmq502gm 93 3 : : : cord-273199-xmq502gm 94 1 medRxiv medRxiv NNP cord-273199-xmq502gm 94 2 preprint preprint NN cord-273199-xmq502gm 94 3 First first RB cord-273199-xmq502gm 94 4 and and CC cord-273199-xmq502gm 94 5 foremost foremost RB cord-273199-xmq502gm 94 6 , , , cord-273199-xmq502gm 94 7 the the DT cord-273199-xmq502gm 94 8 available available JJ cord-273199-xmq502gm 94 9 infection infection NN cord-273199-xmq502gm 94 10 numbers number NNS cord-273199-xmq502gm 94 11 are be VBP cord-273199-xmq502gm 94 12 for for IN cord-273199-xmq502gm 94 13 the the DT cord-273199-xmq502gm 94 14 detected detect VBN cord-273199-xmq502gm 94 15 cases case NNS cord-273199-xmq502gm 94 16 , , , cord-273199-xmq502gm 94 17 which which WDT cord-273199-xmq502gm 94 18 are be VBP cord-273199-xmq502gm 94 19 mostly mostly RB cord-273199-xmq502gm 94 20 symptomatic symptomatic JJ cord-273199-xmq502gm 94 21 . . . cord-273199-xmq502gm 95 1 However however RB cord-273199-xmq502gm 95 2 this this DT cord-273199-xmq502gm 95 3 is be VBZ cord-273199-xmq502gm 95 4 not not RB cord-273199-xmq502gm 95 5 of of IN cord-273199-xmq502gm 95 6 much much JJ cord-273199-xmq502gm 95 7 concern concern NN cord-273199-xmq502gm 95 8 for for IN cord-273199-xmq502gm 95 9 us -PRON- PRP cord-273199-xmq502gm 95 10 . . . cord-273199-xmq502gm 96 1 We -PRON- PRP cord-273199-xmq502gm 96 2 understand understand VBP cord-273199-xmq502gm 96 3 managing manage VBG cord-273199-xmq502gm 96 4 epidemics epidemic NNS cord-273199-xmq502gm 96 5 sociologically sociologically RB cord-273199-xmq502gm 96 6 . . . cord-273199-xmq502gm 97 1 Those those DT cord-273199-xmq502gm 97 2 who who WP cord-273199-xmq502gm 97 3 are be VBP cord-273199-xmq502gm 97 4 detected detect VBN cord-273199-xmq502gm 97 5 mostly mostly RB cord-273199-xmq502gm 97 6 have have VBP cord-273199-xmq502gm 97 7 symptoms symptom NNS cord-273199-xmq502gm 97 8 , , , cord-273199-xmq502gm 97 9 but but CC cord-273199-xmq502gm 97 10 the the DT cord-273199-xmq502gm 97 11 management management NN cord-273199-xmq502gm 97 12 is be VBZ cord-273199-xmq502gm 97 13 mostly mostly RB cord-273199-xmq502gm 97 14 focused focused JJ cord-273199-xmq502gm 97 15 on on IN cord-273199-xmq502gm 97 16 them -PRON- PRP cord-273199-xmq502gm 97 17 too too RB cord-273199-xmq502gm 97 18 . . . cord-273199-xmq502gm 98 1 So so RB cord-273199-xmq502gm 98 2 all all DT cord-273199-xmq502gm 98 3 our -PRON- PRP$ cord-273199-xmq502gm 98 4 arguments argument NNS cord-273199-xmq502gm 98 5 fully fully RB cord-273199-xmq502gm 98 6 applicable applicable JJ cord-273199-xmq502gm 98 7 within within IN cord-273199-xmq502gm 98 8 this this DT cord-273199-xmq502gm 98 9 group group NN cord-273199-xmq502gm 98 10 ; ; : cord-273199-xmq502gm 98 11 we -PRON- PRP cord-273199-xmq502gm 98 12 just just RB cord-273199-xmq502gm 98 13 restrict restrict VBP cord-273199-xmq502gm 98 14 ourselves -PRON- PRP cord-273199-xmq502gm 98 15 with with IN cord-273199-xmq502gm 98 16 symptomatic symptomatic JJ cord-273199-xmq502gm 98 17 cases case NNS cord-273199-xmq502gm 98 18 . . . cord-273199-xmq502gm 99 1 No no DT cord-273199-xmq502gm 99 2 assumptions assumption NNS cord-273199-xmq502gm 99 3 on on IN cord-273199-xmq502gm 99 4 asymptomatic asymptomatic JJ cord-273199-xmq502gm 99 5 cases case NNS cord-273199-xmq502gm 99 6 are be VBP cord-273199-xmq502gm 99 7 necessary necessary JJ cord-273199-xmq502gm 99 8 for for IN cord-273199-xmq502gm 99 9 the the DT cord-273199-xmq502gm 99 10 u u NN cord-273199-xmq502gm 99 11 - - HYPH cord-273199-xmq502gm 99 12 formula formula NN cord-273199-xmq502gm 99 13 . . . cord-273199-xmq502gm 100 1 We -PRON- PRP cord-273199-xmq502gm 100 2 of of IN cord-273199-xmq502gm 100 3 course course NN cord-273199-xmq502gm 100 4 understand understand VBP cord-273199-xmq502gm 100 5 that that IN cord-273199-xmq502gm 100 6 when when WRB cord-273199-xmq502gm 100 7 the the DT cord-273199-xmq502gm 100 8 number number NN cord-273199-xmq502gm 100 9 of of IN cord-273199-xmq502gm 100 10 new new JJ cord-273199-xmq502gm 100 11 reported report VBN cord-273199-xmq502gm 100 12 infections infection NNS cord-273199-xmq502gm 100 13 drops drop VBZ cord-273199-xmq502gm 100 14 to to IN cord-273199-xmq502gm 100 15 zero zero CD cord-273199-xmq502gm 100 16 , , , cord-273199-xmq502gm 100 17 there there EX cord-273199-xmq502gm 100 18 can can MD cord-273199-xmq502gm 100 19 be be VB cord-273199-xmq502gm 100 20 many many JJ cord-273199-xmq502gm 100 21 non non NNS cord-273199-xmq502gm 100 22 - - JJ cord-273199-xmq502gm 100 23 detected detect VBN cord-273199-xmq502gm 100 24 asymptomatic asymptomatic JJ cord-273199-xmq502gm 100 25 cases case NNS cord-273199-xmq502gm 100 26 , , , cord-273199-xmq502gm 100 27 which which WDT cord-273199-xmq502gm 100 28 can can MD cord-273199-xmq502gm 100 29 potentially potentially RB cord-273199-xmq502gm 100 30 lead lead VB cord-273199-xmq502gm 100 31 to to IN cord-273199-xmq502gm 100 32 the the DT cord-273199-xmq502gm 100 33 recurrence recurrence NN cord-273199-xmq502gm 100 34 of of IN cord-273199-xmq502gm 100 35 the the DT cord-273199-xmq502gm 100 36 epidemic epidemic NN cord-273199-xmq502gm 100 37 . . . cord-273199-xmq502gm 101 1 Such such JJ cord-273199-xmq502gm 101 2 " " `` cord-273199-xmq502gm 101 3 saturation saturation NN cord-273199-xmq502gm 101 4 " " '' cord-273199-xmq502gm 101 5 is be VBZ cord-273199-xmq502gm 101 6 only only RB cord-273199-xmq502gm 101 7 a a DT cord-273199-xmq502gm 101 8 technical technical JJ cord-273199-xmq502gm 101 9 end end NN cord-273199-xmq502gm 101 10 of of IN cord-273199-xmq502gm 101 11 the the DT cord-273199-xmq502gm 101 12 epidemic epidemic NN cord-273199-xmq502gm 101 13 . . . cord-273199-xmq502gm 102 1 The the DT cord-273199-xmq502gm 102 2 second second JJ cord-273199-xmq502gm 102 3 reservation reservation NN cord-273199-xmq502gm 102 4 concerns concern NNS cord-273199-xmq502gm 102 5 newly newly RB cord-273199-xmq502gm 102 6 emerged emerge VBD cord-273199-xmq502gm 102 7 clusters cluster NNS cord-273199-xmq502gm 102 8 of of IN cord-273199-xmq502gm 102 9 infections infection NNS cord-273199-xmq502gm 102 10 and and CC cord-273199-xmq502gm 102 11 the the DT cord-273199-xmq502gm 102 12 countries country NNS cord-273199-xmq502gm 102 13 where where WRB cord-273199-xmq502gm 102 14 the the DT cord-273199-xmq502gm 102 15 spread spread NN cord-273199-xmq502gm 102 16 is be VBZ cord-273199-xmq502gm 102 17 on on IN cord-273199-xmq502gm 102 18 the the DT cord-273199-xmq502gm 102 19 rise rise NN cord-273199-xmq502gm 102 20 . . . cord-273199-xmq502gm 103 1 The the DT cord-273199-xmq502gm 103 2 u u NN cord-273199-xmq502gm 103 3 - - HYPH cord-273199-xmq502gm 103 4 formula formula NN cord-273199-xmq502gm 103 5 can can MD cord-273199-xmq502gm 103 6 be be VB cord-273199-xmq502gm 103 7 used use VBN cord-273199-xmq502gm 103 8 in in IN cord-273199-xmq502gm 103 9 spite spite NN cord-273199-xmq502gm 103 10 of of IN cord-273199-xmq502gm 103 11 such such JJ cord-273199-xmq502gm 103 12 fluctuations fluctuation NNS cord-273199-xmq502gm 103 13 , , , cord-273199-xmq502gm 103 14 but but CC cord-273199-xmq502gm 103 15 it -PRON- PRP cord-273199-xmq502gm 103 16 is be VBZ cord-273199-xmq502gm 103 17 now now RB cord-273199-xmq502gm 103 18 a a DT cord-273199-xmq502gm 103 19 statistical statistical JJ cord-273199-xmq502gm 103 20 tool tool NN cord-273199-xmq502gm 103 21 ; ; : cord-273199-xmq502gm 103 22 see see VB cord-273199-xmq502gm 103 23 Figure figure NN cord-273199-xmq502gm 103 24 5 5 CD cord-273199-xmq502gm 103 25 . . . cord-273199-xmq502gm 104 1 The the DT cord-273199-xmq502gm 104 2 predictions prediction NNS cord-273199-xmq502gm 104 3 must must MD cord-273199-xmq502gm 104 4 be be VB cord-273199-xmq502gm 104 5 regularly regularly RB cord-273199-xmq502gm 104 6 updated update VBN cord-273199-xmq502gm 104 7 . . . cord-273199-xmq502gm 105 1 The the DT cord-273199-xmq502gm 105 2 third third JJ cord-273199-xmq502gm 105 3 reservation reservation NN cord-273199-xmq502gm 105 4 is be VBZ cord-273199-xmq502gm 105 5 related relate VBN cord-273199-xmq502gm 105 6 to to IN cord-273199-xmq502gm 105 7 the the DT cord-273199-xmq502gm 105 8 management management NN cord-273199-xmq502gm 105 9 of of IN cord-273199-xmq502gm 105 10 the the DT cord-273199-xmq502gm 105 11 epidemic epidemic NN cord-273199-xmq502gm 105 12 . . . cord-273199-xmq502gm 106 1 Not not RB cord-273199-xmq502gm 106 2 all all DT cord-273199-xmq502gm 106 3 countries country NNS cord-273199-xmq502gm 106 4 employ employ VBP cord-273199-xmq502gm 106 5 the the DT cord-273199-xmq502gm 106 6 protection protection NN cord-273199-xmq502gm 106 7 measures measure NNS cord-273199-xmq502gm 106 8 in in IN cord-273199-xmq502gm 106 9 similar similar JJ cord-273199-xmq502gm 106 10 ways way NNS cord-273199-xmq502gm 106 11 , , , cord-273199-xmq502gm 106 12 but but CC cord-273199-xmq502gm 106 13 this this DT cord-273199-xmq502gm 106 14 is be VBZ cord-273199-xmq502gm 106 15 not not RB cord-273199-xmq502gm 106 16 a a DT cord-273199-xmq502gm 106 17 problem problem NN cord-273199-xmq502gm 106 18 for for IN cord-273199-xmq502gm 106 19 us -PRON- PRP cord-273199-xmq502gm 106 20 . . . cord-273199-xmq502gm 107 1 The the DT cord-273199-xmq502gm 107 2 problem problem NN cord-273199-xmq502gm 107 3 is be VBZ cord-273199-xmq502gm 107 4 if if IN cord-273199-xmq502gm 107 5 the the DT cord-273199-xmq502gm 107 6 intensity intensity NN cord-273199-xmq502gm 107 7 of of IN cord-273199-xmq502gm 107 8 the the DT cord-273199-xmq502gm 107 9 measures measure NNS cord-273199-xmq502gm 107 10 and and CC cord-273199-xmq502gm 107 11 the the DT cord-273199-xmq502gm 107 12 criteria criterion NNS cord-273199-xmq502gm 107 13 are be VBP cord-273199-xmq502gm 107 14 changed change VBN cord-273199-xmq502gm 107 15 in in IN cord-273199-xmq502gm 107 16 some some DT cord-273199-xmq502gm 107 17 unpredictable unpredictable JJ cord-273199-xmq502gm 107 18 ways way NNS cord-273199-xmq502gm 107 19 . . . cord-273199-xmq502gm 108 1 Diminishing diminish VBG cord-273199-xmq502gm 108 2 the the DT cord-273199-xmq502gm 108 3 " " `` cord-273199-xmq502gm 108 4 hard hard JJ cord-273199-xmq502gm 108 5 " " '' cord-273199-xmq502gm 108 6 measures measure NNS cord-273199-xmq502gm 108 7 too too RB cord-273199-xmq502gm 108 8 early early RB cord-273199-xmq502gm 108 9 or or CC cord-273199-xmq502gm 108 10 even even RB cord-273199-xmq502gm 108 11 dropping drop VBG cord-273199-xmq502gm 108 12 them -PRON- PRP cord-273199-xmq502gm 108 13 completely completely RB cord-273199-xmq502gm 108 14 at at IN cord-273199-xmq502gm 108 15 later later JJ cord-273199-xmq502gm 108 16 stages stage NNS cord-273199-xmq502gm 108 17 is be VBZ cord-273199-xmq502gm 108 18 quite quite RB cord-273199-xmq502gm 108 19 possible possible JJ cord-273199-xmq502gm 108 20 . . . cord-273199-xmq502gm 109 1 Last last JJ cord-273199-xmq502gm 109 2 but but CC cord-273199-xmq502gm 109 3 not not RB cord-273199-xmq502gm 109 4 the the DT cord-273199-xmq502gm 109 5 least least JJS cord-273199-xmq502gm 109 6 is be VBZ cord-273199-xmq502gm 109 7 the the DT cord-273199-xmq502gm 109 8 data data NN cord-273199-xmq502gm 109 9 quality quality NN cord-273199-xmq502gm 109 10 . . . cord-273199-xmq502gm 110 1 Changing change VBG cord-273199-xmq502gm 110 2 the the DT cord-273199-xmq502gm 110 3 ways way NNS cord-273199-xmq502gm 110 4 they -PRON- PRP cord-273199-xmq502gm 110 5 are be VBP cord-273199-xmq502gm 110 6 collected collect VBN cord-273199-xmq502gm 110 7 and and CC cord-273199-xmq502gm 110 8 the the DT cord-273199-xmq502gm 110 9 criteria criterion NNS cord-273199-xmq502gm 110 10 frequently frequently RB cord-273199-xmq502gm 110 11 makes make VBZ cord-273199-xmq502gm 110 12 such such JJ cord-273199-xmq502gm 110 13 data datum NNS cord-273199-xmq502gm 110 14 useless useless JJ cord-273199-xmq502gm 110 15 for for IN cord-273199-xmq502gm 110 16 us -PRON- PRP cord-273199-xmq502gm 110 17 . . . cord-273199-xmq502gm 111 1 Though though RB cord-273199-xmq502gm 111 2 , , , cord-273199-xmq502gm 111 3 if if IN cord-273199-xmq502gm 111 4 the the DT cord-273199-xmq502gm 111 5 number number NN cord-273199-xmq502gm 111 6 of of IN cord-273199-xmq502gm 111 7 detected detect VBN cord-273199-xmq502gm 111 8 infections infection NNS cord-273199-xmq502gm 111 9 is be VBZ cord-273199-xmq502gm 111 10 underreported underreporte VBN cord-273199-xmq502gm 111 11 in in IN cord-273199-xmq502gm 111 12 some some DT cord-273199-xmq502gm 111 13 regular regular JJ cord-273199-xmq502gm 111 14 ways way NNS cord-273199-xmq502gm 111 15 , , , cord-273199-xmq502gm 111 16 whatever whatever WDT cord-273199-xmq502gm 111 17 the the DT cord-273199-xmq502gm 111 18 reasons reason NNS cord-273199-xmq502gm 111 19 , , , cord-273199-xmq502gm 111 20 such such JJ cord-273199-xmq502gm 111 21 data datum NNS cord-273199-xmq502gm 111 22 can can MD cord-273199-xmq502gm 111 23 be be VB cord-273199-xmq502gm 111 24 generally generally RB cord-273199-xmq502gm 111 25 used use VBN cord-273199-xmq502gm 111 26 . . . cord-273199-xmq502gm 112 1 Thus thus RB cord-273199-xmq502gm 112 2 this this DT cord-273199-xmq502gm 112 3 is be VBZ cord-273199-xmq502gm 112 4 sufficiently sufficiently RB cord-273199-xmq502gm 112 5 relaxed relaxed JJ cord-273199-xmq502gm 112 6 , , , cord-273199-xmq502gm 112 7 but but CC cord-273199-xmq502gm 112 8 the the DT cord-273199-xmq502gm 112 9 data datum NNS cord-273199-xmq502gm 112 10 for for IN cord-273199-xmq502gm 112 11 several several JJ cord-273199-xmq502gm 112 12 countries country NNS cord-273199-xmq502gm 112 13 , , , cord-273199-xmq502gm 112 14 not not RB cord-273199-xmq502gm 112 15 too too RB cord-273199-xmq502gm 112 16 many many JJ cord-273199-xmq502gm 112 17 , , , cord-273199-xmq502gm 112 18 are be VBP cord-273199-xmq502gm 112 19 not not RB cord-273199-xmq502gm 112 20 suitable suitable JJ cord-273199-xmq502gm 112 21 for for IN cord-273199-xmq502gm 112 22 the the DT cord-273199-xmq502gm 112 23 usage usage NN cord-273199-xmq502gm 112 24 of of IN cord-273199-xmq502gm 112 25 our -PRON- PRP$ cord-273199-xmq502gm 112 26 " " `` cord-273199-xmq502gm 112 27 forecasting forecasting NN cord-273199-xmq502gm 112 28 tool tool NN cord-273199-xmq502gm 112 29 " " '' cord-273199-xmq502gm 112 30 . . . cord-273199-xmq502gm 113 1 Forecasting forecast VBG cord-273199-xmq502gm 113 2 the the DT cord-273199-xmq502gm 113 3 spread spread NN cord-273199-xmq502gm 113 4 . . . cord-273199-xmq502gm 114 1 With with IN cord-273199-xmq502gm 114 2 these these DT cord-273199-xmq502gm 114 3 reservations reservation NNS cord-273199-xmq502gm 114 4 , , , cord-273199-xmq502gm 114 5 the the DT cord-273199-xmq502gm 114 6 first first JJ cord-273199-xmq502gm 114 7 point point NN cord-273199-xmq502gm 114 8 of of IN cord-273199-xmq502gm 114 9 maximum maximum JJ cord-273199-xmq502gm 114 10 t t NNP cord-273199-xmq502gm 114 11 top top NN cord-273199-xmq502gm 114 12 of of IN cord-273199-xmq502gm 114 13 u(t u(t NNP cord-273199-xmq502gm 114 14 ) ) -RRB- cord-273199-xmq502gm 114 15 is be VBZ cord-273199-xmq502gm 114 16 a a DT cord-273199-xmq502gm 114 17 good good JJ cord-273199-xmq502gm 114 18 estimate estimate NN cord-273199-xmq502gm 114 19 for for IN cord-273199-xmq502gm 114 20 the the DT cord-273199-xmq502gm 114 21 duration duration NN cord-273199-xmq502gm 114 22 of of IN cord-273199-xmq502gm 114 23 the the DT cord-273199-xmq502gm 114 24 epidemic epidemic NN cord-273199-xmq502gm 114 25 and and CC cord-273199-xmq502gm 114 26 the the DT cord-273199-xmq502gm 114 27 corresponding corresponding JJ cord-273199-xmq502gm 114 28 estimate estimate NN cord-273199-xmq502gm 114 29 for for IN cord-273199-xmq502gm 114 30 the the DT cord-273199-xmq502gm 114 31 top top JJ cord-273199-xmq502gm 114 32 value value NN cord-273199-xmq502gm 114 33 of of IN cord-273199-xmq502gm 114 34 the the DT cord-273199-xmq502gm 114 35 total total JJ cord-273199-xmq502gm 114 36 number number NN cord-273199-xmq502gm 114 37 of of IN cord-273199-xmq502gm 114 38 infections infection NNS cord-273199-xmq502gm 114 39 . . . cord-273199-xmq502gm 115 1 This this DT cord-273199-xmq502gm 115 2 gives give VBZ cord-273199-xmq502gm 115 3 an an DT cord-273199-xmq502gm 115 4 important important JJ cord-273199-xmq502gm 115 5 " " `` cord-273199-xmq502gm 115 6 forecasting forecasting NN cord-273199-xmq502gm 115 7 tool tool NN cord-273199-xmq502gm 115 8 " " '' cord-273199-xmq502gm 115 9 , , , cord-273199-xmq502gm 115 10 assuming assume VBG cord-273199-xmq502gm 115 11 that that IN cord-273199-xmq502gm 115 12 " " `` cord-273199-xmq502gm 115 13 hard hard JJ cord-273199-xmq502gm 115 14 measures measure NNS cord-273199-xmq502gm 115 15 " " '' cord-273199-xmq502gm 115 16 are be VBP cord-273199-xmq502gm 115 17 the the DT cord-273199-xmq502gm 115 18 key key NN cord-273199-xmq502gm 115 19 in in IN cord-273199-xmq502gm 115 20 practical practical JJ cord-273199-xmq502gm 115 21 management management NN cord-273199-xmq502gm 115 22 of of IN cord-273199-xmq502gm 115 23 the the DT cord-273199-xmq502gm 115 24 epidemic epidemic NN cord-273199-xmq502gm 115 25 . . . cord-273199-xmq502gm 116 1 We -PRON- PRP cord-273199-xmq502gm 116 2 note note VBP cord-273199-xmq502gm 116 3 that that IN cord-273199-xmq502gm 116 4 the the DT cord-273199-xmq502gm 116 5 approximate approximate JJ cord-273199-xmq502gm 116 6 reflection reflection NN cord-273199-xmq502gm 116 7 symmetry symmetry NN cord-273199-xmq502gm 116 8 of of IN cord-273199-xmq502gm 116 9 du(t)/dt du(t)/dt NNP cord-273199-xmq502gm 116 10 for for IN cord-273199-xmq502gm 116 11 the the DT cord-273199-xmq502gm 116 12 u(t u(t NNP cord-273199-xmq502gm 116 13 ) ) -RRB- cord-273199-xmq502gm 116 14 in in IN cord-273199-xmq502gm 116 15 the the DT cord-273199-xmq502gm 116 16 range range NN cord-273199-xmq502gm 116 17 from from IN cord-273199-xmq502gm 116 18 t t NN cord-273199-xmq502gm 116 19 = = SYM cord-273199-xmq502gm 116 20 0 0 CD cord-273199-xmq502gm 116 21 to to TO cord-273199-xmq502gm 116 22 t t VB cord-273199-xmq502gm 116 23 top top NN cord-273199-xmq502gm 116 24 can can MD cord-273199-xmq502gm 116 25 be be VB cord-273199-xmq502gm 116 26 interpreted interpret VBN cord-273199-xmq502gm 116 27 as as IN cord-273199-xmq502gm 116 28 Farr Farr NNP cord-273199-xmq502gm 116 29 's 's POS cord-273199-xmq502gm 116 30 law law NN cord-273199-xmq502gm 116 31 of of IN cord-273199-xmq502gm 116 32 epidemics epidemic NNS cord-273199-xmq502gm 116 33 under under IN cord-273199-xmq502gm 116 34 aggressive aggressive JJ cord-273199-xmq502gm 116 35 management management NN cord-273199-xmq502gm 116 36 . . . cord-273199-xmq502gm 117 1 Generally generally RB cord-273199-xmq502gm 117 2 , , , cord-273199-xmq502gm 117 3 the the DT cord-273199-xmq502gm 117 4 portions portion NNS cord-273199-xmq502gm 117 5 of of IN cord-273199-xmq502gm 117 6 the the DT cord-273199-xmq502gm 117 7 corresponding corresponding JJ cord-273199-xmq502gm 117 8 graph graph NN cord-273199-xmq502gm 117 9 before before RB cord-273199-xmq502gm 117 10 and and CC cord-273199-xmq502gm 117 11 after after IN cord-273199-xmq502gm 117 12 the the DT cord-273199-xmq502gm 117 13 turning turning NN cord-273199-xmq502gm 117 14 point point NN cord-273199-xmq502gm 117 15 are be VBP cord-273199-xmq502gm 117 16 supposed suppose VBN cord-273199-xmq502gm 117 17 to to TO cord-273199-xmq502gm 117 18 be be VB cord-273199-xmq502gm 117 19 essentially essentially RB cord-273199-xmq502gm 117 20 symmetric symmetric JJ cord-273199-xmq502gm 117 21 to to IN cord-273199-xmq502gm 117 22 each each DT cord-273199-xmq502gm 117 23 other other JJ cord-273199-xmq502gm 117 24 . . . cord-273199-xmq502gm 118 1 This this DT cord-273199-xmq502gm 118 2 is be VBZ cord-273199-xmq502gm 118 3 not not RB cord-273199-xmq502gm 118 4 exactly exactly RB cord-273199-xmq502gm 118 5 true true JJ cord-273199-xmq502gm 118 6 for for IN cord-273199-xmq502gm 118 7 du(t)/dt du(t)/dt NNP cord-273199-xmq502gm 118 8 , , , cord-273199-xmq502gm 118 9 but but CC cord-273199-xmq502gm 118 10 close close JJ cord-273199-xmq502gm 118 11 enough enough RB cord-273199-xmq502gm 118 12 . . . cord-273199-xmq502gm 119 1 See see VB cord-273199-xmq502gm 119 2 Figure figure NN cord-273199-xmq502gm 119 3 2 2 CD cord-273199-xmq502gm 119 4 and and CC cord-273199-xmq502gm 119 5 the the DT cord-273199-xmq502gm 119 6 other other JJ cord-273199-xmq502gm 119 7 ones one NNS cord-273199-xmq502gm 119 8 ; ; : cord-273199-xmq502gm 119 9 the the DT cord-273199-xmq502gm 119 10 turning turning NN cord-273199-xmq502gm 119 11 point point NN cord-273199-xmq502gm 119 12 is be VBZ cord-273199-xmq502gm 119 13 at at IN cord-273199-xmq502gm 119 14 max{du(t)/dt max{du(t)/dt NN cord-273199-xmq502gm 119 15 } } -RRB- cord-273199-xmq502gm 119 16 . . . cord-273199-xmq502gm 120 1 As as IN cord-273199-xmq502gm 120 2 any any DT cord-273199-xmq502gm 120 3 model model NN cord-273199-xmq502gm 120 4 , , , cord-273199-xmq502gm 120 5 our -PRON- PRP$ cord-273199-xmq502gm 120 6 one one NN cord-273199-xmq502gm 120 7 is be VBZ cord-273199-xmq502gm 120 8 based base VBN cord-273199-xmq502gm 120 9 on on IN cord-273199-xmq502gm 120 10 various various JJ cord-273199-xmq502gm 120 11 simplifications simplification NNS cord-273199-xmq502gm 120 12 . . . cord-273199-xmq502gm 121 1 We -PRON- PRP cord-273199-xmq502gm 121 2 assume assume VBP cord-273199-xmq502gm 121 3 that that IN cord-273199-xmq502gm 121 4 the the DT cord-273199-xmq502gm 121 5 number number NN cord-273199-xmq502gm 121 6 of of IN cord-273199-xmq502gm 121 7 people people NNS cord-273199-xmq502gm 121 8 perceptive perceptive JJ cord-273199-xmq502gm 121 9 to to IN cord-273199-xmq502gm 121 10 the the DT cord-273199-xmq502gm 121 11 virus virus NN cord-273199-xmq502gm 121 12 is be VBZ cord-273199-xmq502gm 121 13 unlimited unlimited JJ cord-273199-xmq502gm 121 14 , , , cord-273199-xmq502gm 121 15 i.e. i.e. FW cord-273199-xmq502gm 121 16 we -PRON- PRP cord-273199-xmq502gm 121 17 do do VBP cord-273199-xmq502gm 121 18 not not RB cord-273199-xmq502gm 121 19 consider consider VB cord-273199-xmq502gm 121 20 epidemics epidemic NNS cord-273199-xmq502gm 121 21 with with IN cord-273199-xmq502gm 121 22 the the DT cord-273199-xmq502gm 121 23 number number NN cord-273199-xmq502gm 121 24 infections infection NNS cord-273199-xmq502gm 121 25 comparable comparable JJ cord-273199-xmq502gm 121 26 with with IN cord-273199-xmq502gm 121 27 the the DT cord-273199-xmq502gm 121 28 whole whole JJ cord-273199-xmq502gm 121 29 population population NN cord-273199-xmq502gm 121 30 , , , cord-273199-xmq502gm 121 31 as as RB cord-273199-xmq502gm 121 32 well well RB cord-273199-xmq502gm 121 33 as as IN cord-273199-xmq502gm 121 34 herd herd NN cord-273199-xmq502gm 121 35 immunity immunity NN cord-273199-xmq502gm 121 36 . . . cord-273199-xmq502gm 122 1 Also also RB cord-273199-xmq502gm 122 2 , , , cord-273199-xmq502gm 122 3 we -PRON- PRP cord-273199-xmq502gm 122 4 disregard disregard VBP cord-273199-xmq502gm 122 5 . . . cord-273199-xmq502gm 123 1 CC CC NNP cord-273199-xmq502gm 123 2 - - HYPH cord-273199-xmq502gm 123 3 BY BY NNP cord-273199-xmq502gm 123 4 - - HYPH cord-273199-xmq502gm 123 5 NC NC NNP cord-273199-xmq502gm 123 6 - - HYPH cord-273199-xmq502gm 123 7 ND ND NNP cord-273199-xmq502gm 123 8 4.0 4.0 CD cord-273199-xmq502gm 123 9 International international JJ cord-273199-xmq502gm 123 10 license license NN cord-273199-xmq502gm 124 1 It -PRON- PRP cord-273199-xmq502gm 124 2 is be VBZ cord-273199-xmq502gm 124 3 made make VBN cord-273199-xmq502gm 124 4 available available JJ cord-273199-xmq502gm 124 5 under under IN cord-273199-xmq502gm 124 6 a a DT cord-273199-xmq502gm 125 1 is be VBZ cord-273199-xmq502gm 125 2 the the DT cord-273199-xmq502gm 125 3 author author NN cord-273199-xmq502gm 125 4 / / SYM cord-273199-xmq502gm 125 5 funder funder NN cord-273199-xmq502gm 125 6 , , , cord-273199-xmq502gm 125 7 who who WP cord-273199-xmq502gm 125 8 has have VBZ cord-273199-xmq502gm 125 9 granted grant VBN cord-273199-xmq502gm 125 10 medRxiv medRxiv NNS cord-273199-xmq502gm 125 11 a a DT cord-273199-xmq502gm 125 12 license license NN cord-273199-xmq502gm 125 13 to to TO cord-273199-xmq502gm 125 14 display display VB cord-273199-xmq502gm 125 15 the the DT cord-273199-xmq502gm 125 16 preprint preprint NN cord-273199-xmq502gm 125 17 in in IN cord-273199-xmq502gm 125 18 perpetuity perpetuity NN cord-273199-xmq502gm 125 19 . . . cord-273199-xmq502gm 126 1 The the DT cord-273199-xmq502gm 126 2 copyright copyright NN cord-273199-xmq502gm 126 3 holder holder NN cord-273199-xmq502gm 126 4 for for IN cord-273199-xmq502gm 126 5 this this DT cord-273199-xmq502gm 126 6 preprint preprint NN cord-273199-xmq502gm 126 7 this this DT cord-273199-xmq502gm 126 8 version version NN cord-273199-xmq502gm 126 9 posted post VBN cord-273199-xmq502gm 126 10 May May NNP cord-273199-xmq502gm 126 11 2 2 CD cord-273199-xmq502gm 126 12 , , , cord-273199-xmq502gm 126 13 2020 2020 CD cord-273199-xmq502gm 126 14 . . . cord-273199-xmq502gm 126 15 . . . cord-273199-xmq502gm 127 1 https://doi.org/10.1101/2020.04.29.20084483 https://doi.org/10.1101/2020.04.29.20084483 NN cord-273199-xmq502gm 127 2 doi doi NN cord-273199-xmq502gm 127 3 : : : cord-273199-xmq502gm 128 1 medRxiv medRxiv NNS cord-273199-xmq502gm 128 2 preprint preprint VBP cord-273199-xmq502gm 128 3 the the DT cord-273199-xmq502gm 128 4 average average JJ cord-273199-xmq502gm 128 5 duration duration NN cord-273199-xmq502gm 128 6 of of IN cord-273199-xmq502gm 128 7 the the DT cord-273199-xmq502gm 128 8 disease disease NN cord-273199-xmq502gm 128 9 and and CC cord-273199-xmq502gm 128 10 that that IN cord-273199-xmq502gm 128 11 for for IN cord-273199-xmq502gm 128 12 the the DT cord-273199-xmq502gm 128 13 quarantine quarantine NN cord-273199-xmq502gm 128 14 periods period NNS cord-273199-xmq502gm 128 15 imposed impose VBN cord-273199-xmq502gm 128 16 . . . cord-273199-xmq502gm 129 1 The the DT cord-273199-xmq502gm 129 2 total total JJ cord-273199-xmq502gm 129 3 number number NN cord-273199-xmq502gm 129 4 of of IN cord-273199-xmq502gm 129 5 infections infection NNS cord-273199-xmq502gm 129 6 regardless regardless RB cord-273199-xmq502gm 129 7 of of IN cord-273199-xmq502gm 129 8 the the DT cord-273199-xmq502gm 129 9 output output NN cord-273199-xmq502gm 129 10 is be VBZ cord-273199-xmq502gm 129 11 what what WP cord-273199-xmq502gm 129 12 we -PRON- PRP cord-273199-xmq502gm 129 13 are be VBP cord-273199-xmq502gm 129 14 going go VBG cord-273199-xmq502gm 129 15 to to TO cord-273199-xmq502gm 129 16 model model VB cord-273199-xmq502gm 129 17 , , , cord-273199-xmq502gm 129 18 which which WDT cord-273199-xmq502gm 129 19 is be VBZ cord-273199-xmq502gm 129 20 commonly commonly RB cord-273199-xmq502gm 129 21 used use VBN cord-273199-xmq502gm 129 22 . . . cord-273199-xmq502gm 130 1 In in IN cord-273199-xmq502gm 130 2 spite spite NN cord-273199-xmq502gm 130 3 of of IN cord-273199-xmq502gm 130 4 all all PDT cord-273199-xmq502gm 130 5 these these DT cord-273199-xmq502gm 130 6 assumptions assumption NNS cord-273199-xmq502gm 130 7 , , , cord-273199-xmq502gm 130 8 the the DT cord-273199-xmq502gm 130 9 u u NN cord-273199-xmq502gm 130 10 - - HYPH cord-273199-xmq502gm 130 11 formula formula NN cord-273199-xmq502gm 130 12 works work NNS cord-273199-xmq502gm 130 13 unexpectedly unexpectedly RB cord-273199-xmq502gm 130 14 well well RB cord-273199-xmq502gm 130 15 . . . cord-273199-xmq502gm 131 1 We -PRON- PRP cord-273199-xmq502gm 131 2 mention mention VBP cord-273199-xmq502gm 131 3 here here RB cord-273199-xmq502gm 131 4 a a DT cord-273199-xmq502gm 131 5 strong strong JJ cord-273199-xmq502gm 131 6 connections connection NNS cord-273199-xmq502gm 131 7 with with IN cord-273199-xmq502gm 131 8 behavioral behavioral JJ cord-273199-xmq502gm 131 9 finance finance NN cord-273199-xmq502gm 131 10 ; ; : cord-273199-xmq502gm 131 11 see see VB cord-273199-xmq502gm 131 12 [ [ -LRB- cord-273199-xmq502gm 131 13 7 7 CD cord-273199-xmq502gm 131 14 ] ] -RRB- cord-273199-xmq502gm 131 15 . . . cord-273199-xmq502gm 132 1 For for IN cord-273199-xmq502gm 132 2 instance instance NN cord-273199-xmq502gm 132 3 , , , cord-273199-xmq502gm 132 4 practically practically RB cord-273199-xmq502gm 132 5 the the DT cord-273199-xmq502gm 132 6 same same JJ cord-273199-xmq502gm 132 7 u(t u(t NN cord-273199-xmq502gm 132 8 ) ) -RRB- cord-273199-xmq502gm 132 9 in in IN cord-273199-xmq502gm 132 10 terms term NNS cord-273199-xmq502gm 132 11 of of IN cord-273199-xmq502gm 132 12 Bessel Bessel NNP cord-273199-xmq502gm 132 13 function function NN cord-273199-xmq502gm 132 14 as as IN cord-273199-xmq502gm 132 15 above above IN cord-273199-xmq502gm 132 16 models model NNS cord-273199-xmq502gm 132 17 " " `` cord-273199-xmq502gm 132 18 profit profit NN cord-273199-xmq502gm 132 19 taking taking NN cord-273199-xmq502gm 132 20 " " '' cord-273199-xmq502gm 132 21 in in IN cord-273199-xmq502gm 132 22 stock stock NN cord-273199-xmq502gm 132 23 markets market NNS cord-273199-xmq502gm 132 24 . . . cord-273199-xmq502gm 133 1 The the DT cord-273199-xmq502gm 133 2 polynomial polynomial JJ cord-273199-xmq502gm 133 3 growth growth NN cord-273199-xmq502gm 133 4 of of IN cord-273199-xmq502gm 133 5 u(t u(t NNP cord-273199-xmq502gm 133 6 ) ) -RRB- cord-273199-xmq502gm 133 7 is be VBZ cord-273199-xmq502gm 133 8 parallel parallel JJ cord-273199-xmq502gm 133 9 to to IN cord-273199-xmq502gm 133 10 the the DT cord-273199-xmq502gm 133 11 " " `` cord-273199-xmq502gm 133 12 power power NN cord-273199-xmq502gm 133 13 law law NN cord-273199-xmq502gm 133 14 " " '' cord-273199-xmq502gm 133 15 for for IN cord-273199-xmq502gm 133 16 share share NN cord-273199-xmq502gm 133 17 prices price NNS cord-273199-xmq502gm 133 18 . . . cord-273199-xmq502gm 134 1 There there EX cord-273199-xmq502gm 134 2 is be VBZ cord-273199-xmq502gm 134 3 a a DT cord-273199-xmq502gm 134 4 long long JJ cord-273199-xmq502gm 134 5 history history NN cord-273199-xmq502gm 134 6 and and CC cord-273199-xmq502gm 134 7 many many JJ cord-273199-xmq502gm 134 8 aspects aspect NNS cord-273199-xmq502gm 134 9 of of IN cord-273199-xmq502gm 134 10 mathematical mathematical JJ cord-273199-xmq502gm 134 11 modeling modeling NN cord-273199-xmq502gm 134 12 epidemic epidemic NN cord-273199-xmq502gm 134 13 spread spread NN cord-273199-xmq502gm 134 14 ; ; : cord-273199-xmq502gm 134 15 see see VB cord-273199-xmq502gm 134 16 e.g. e.g. RB cord-273199-xmq502gm 134 17 [ [ -LRB- cord-273199-xmq502gm 134 18 1 1 CD cord-273199-xmq502gm 134 19 ] ] -RRB- cord-273199-xmq502gm 134 20 for for IN cord-273199-xmq502gm 134 21 a a DT cord-273199-xmq502gm 134 22 review review NN cord-273199-xmq502gm 134 23 . . . cord-273199-xmq502gm 135 1 We -PRON- PRP cord-273199-xmq502gm 135 2 restrict restrict VBP cord-273199-xmq502gm 135 3 ourselves -PRON- PRP cord-273199-xmq502gm 135 4 only only RB cord-273199-xmq502gm 135 5 with with IN cord-273199-xmq502gm 135 6 the the DT cord-273199-xmq502gm 135 7 dynamic dynamic NN cord-273199-xmq502gm 135 8 of of IN cord-273199-xmq502gm 135 9 momentum momentum NN cord-273199-xmq502gm 135 10 managing manage VBG cord-273199-xmq502gm 135 11 epidemics epidemic NNS cord-273199-xmq502gm 135 12 , , , cord-273199-xmq502gm 135 13 naturally naturally RB cord-273199-xmq502gm 135 14 mostly mostly RB cord-273199-xmq502gm 135 15 focusing focus VBG cord-273199-xmq502gm 135 16 on on IN cord-273199-xmq502gm 135 17 the the DT cord-273199-xmq502gm 135 18 middle middle JJ cord-273199-xmq502gm 135 19 stages stage NNS cord-273199-xmq502gm 135 20 , , , cord-273199-xmq502gm 135 21 when when WRB cord-273199-xmq502gm 135 22 our -PRON- PRP$ cord-273199-xmq502gm 135 23 actions action NNS cord-273199-xmq502gm 135 24 must must MD cord-273199-xmq502gm 135 25 be be VB cord-273199-xmq502gm 135 26 as as RB cord-273199-xmq502gm 135 27 precise precise JJ cord-273199-xmq502gm 135 28 as as IN cord-273199-xmq502gm 135 29 possible possible JJ cord-273199-xmq502gm 135 30 . . . cord-273199-xmq502gm 136 1 The the DT cord-273199-xmq502gm 136 2 two two CD cord-273199-xmq502gm 136 3 basic basic JJ cord-273199-xmq502gm 136 4 modes mode NNS cord-273199-xmq502gm 136 5 we -PRON- PRP cord-273199-xmq502gm 136 6 consider consider VBP cord-273199-xmq502gm 136 7 are be VBP cord-273199-xmq502gm 136 8 essentially essentially RB cord-273199-xmq502gm 136 9 as as IN cord-273199-xmq502gm 136 10 follows follow VBZ cord-273199-xmq502gm 136 11 : : : cord-273199-xmq502gm 137 1 ( ( -LRB- cord-273199-xmq502gm 137 2 A a DT cord-273199-xmq502gm 137 3 ) ) -RRB- cord-273199-xmq502gm 137 4 aggressive aggressive JJ cord-273199-xmq502gm 137 5 enforcement enforcement NN cord-273199-xmq502gm 137 6 of of IN cord-273199-xmq502gm 137 7 the the DT cord-273199-xmq502gm 137 8 measures measure NNS cord-273199-xmq502gm 137 9 of of IN cord-273199-xmq502gm 137 10 immediate immediate JJ cord-273199-xmq502gm 137 11 impact impact NN cord-273199-xmq502gm 137 12 reacting react VBG cord-273199-xmq502gm 137 13 to to IN cord-273199-xmq502gm 137 14 the the DT cord-273199-xmq502gm 137 15 current current JJ cord-273199-xmq502gm 137 16 absolute absolute JJ cord-273199-xmq502gm 137 17 numbers number NNS cord-273199-xmq502gm 137 18 of of IN cord-273199-xmq502gm 137 19 infections infection NNS cord-273199-xmq502gm 137 20 and and CC cord-273199-xmq502gm 137 21 equally equally RB cord-273199-xmq502gm 137 22 aggressive aggressive JJ cord-273199-xmq502gm 137 23 reduction reduction NN cord-273199-xmq502gm 137 24 of of IN cord-273199-xmq502gm 137 25 these these DT cord-273199-xmq502gm 137 26 measures measure NNS cord-273199-xmq502gm 137 27 when when WRB cord-273199-xmq502gm 137 28 these these DT cord-273199-xmq502gm 137 29 numbers number NNS cord-273199-xmq502gm 137 30 decrease decrease VBP cord-273199-xmq502gm 137 31 ; ; : cord-273199-xmq502gm 137 32 ( ( -LRB- cord-273199-xmq502gm 137 33 B b NN cord-273199-xmq502gm 137 34 ) ) -RRB- cord-273199-xmq502gm 137 35 a a DT cord-273199-xmq502gm 137 36 more more RBR cord-273199-xmq502gm 137 37 balanced balanced JJ cord-273199-xmq502gm 137 38 and and CC cord-273199-xmq502gm 137 39 more more RBR cord-273199-xmq502gm 137 40 defensive defensive JJ cord-273199-xmq502gm 137 41 approach approach NN cord-273199-xmq502gm 137 42 when when WRB cord-273199-xmq502gm 137 43 mathematically mathematically RB cord-273199-xmq502gm 137 44 we -PRON- PRP cord-273199-xmq502gm 137 45 react react VBP cord-273199-xmq502gm 137 46 to to IN cord-273199-xmq502gm 137 47 the the DT cord-273199-xmq502gm 137 48 average average JJ cord-273199-xmq502gm 137 49 numbers number NNS cord-273199-xmq502gm 137 50 of of IN cord-273199-xmq502gm 137 51 infections infection NNS cord-273199-xmq502gm 137 52 to to IN cord-273199-xmq502gm 137 53 date date NN cord-273199-xmq502gm 137 54 and and CC cord-273199-xmq502gm 137 55 the the DT cord-273199-xmq502gm 137 56 employed employ VBN cord-273199-xmq502gm 137 57 measures measure NNS cord-273199-xmq502gm 137 58 are be VBP cord-273199-xmq502gm 137 59 of of IN cord-273199-xmq502gm 137 60 more more JJR cord-273199-xmq502gm 137 61 indirect indirect JJ cord-273199-xmq502gm 137 62 and and CC cord-273199-xmq502gm 137 63 palliative palliative JJ cord-273199-xmq502gm 137 64 nature nature NN cord-273199-xmq502gm 137 65 . . . cord-273199-xmq502gm 138 1 Hard hard JJ cord-273199-xmq502gm 138 2 and and CC cord-273199-xmq502gm 138 3 soft soft JJ cord-273199-xmq502gm 138 4 measures measure NNS cord-273199-xmq502gm 138 5 . . . cord-273199-xmq502gm 139 1 The the DT cord-273199-xmq502gm 139 2 main main JJ cord-273199-xmq502gm 139 3 examples example NNS cord-273199-xmq502gm 139 4 of of IN cord-273199-xmq502gm 139 5 ( ( -LRB- cord-273199-xmq502gm 139 6 A)-type A)-type NNP cord-273199-xmq502gm 139 7 measures measure NNS cord-273199-xmq502gm 139 8 are be VBP cord-273199-xmq502gm 139 9 : : : cord-273199-xmq502gm 139 10 prompt prompt JJ cord-273199-xmq502gm 139 11 detection detection NN cord-273199-xmq502gm 139 12 and and CC cord-273199-xmq502gm 139 13 isolation isolation NN cord-273199-xmq502gm 139 14 of of IN cord-273199-xmq502gm 139 15 infected infected JJ cord-273199-xmq502gm 139 16 people people NNS cord-273199-xmq502gm 139 17 and and CC cord-273199-xmq502gm 139 18 those those DT cord-273199-xmq502gm 139 19 of of IN cord-273199-xmq502gm 139 20 high high JJ cord-273199-xmq502gm 139 21 risk risk NN cord-273199-xmq502gm 139 22 to to TO cord-273199-xmq502gm 139 23 be be VB cord-273199-xmq502gm 139 24 infected infect VBN cord-273199-xmq502gm 139 25 , , , cord-273199-xmq502gm 139 26 and and CC cord-273199-xmq502gm 139 27 closing closing NN cord-273199-xmq502gm 139 28 places place NNS cord-273199-xmq502gm 139 29 where where WRB cord-273199-xmq502gm 139 30 the the DT cord-273199-xmq502gm 139 31 spread spread NN cord-273199-xmq502gm 139 32 is be VBZ cord-273199-xmq502gm 139 33 the the DT cord-273199-xmq502gm 139 34 most most RBS cord-273199-xmq502gm 139 35 likely likely JJ cord-273199-xmq502gm 139 36 . . . cord-273199-xmq502gm 140 1 Actually actually RB cord-273199-xmq502gm 140 2 the the DT cord-273199-xmq502gm 140 3 primary primary JJ cord-273199-xmq502gm 140 4 measure measure NN cord-273199-xmq502gm 140 5 here here RB cord-273199-xmq502gm 140 6 is be VBZ cord-273199-xmq502gm 140 7 testing test VBG cord-273199-xmq502gm 140 8 ; ; : cord-273199-xmq502gm 140 9 the the DT cord-273199-xmq502gm 140 10 number number NN cord-273199-xmq502gm 140 11 of of IN cord-273199-xmq502gm 140 12 tests test NNS cord-273199-xmq502gm 140 13 is be VBZ cord-273199-xmq502gm 140 14 what what WP cord-273199-xmq502gm 140 15 we -PRON- PRP cord-273199-xmq502gm 140 16 can can MD cord-273199-xmq502gm 140 17 really really RB cord-273199-xmq502gm 140 18 implement implement VB cord-273199-xmq502gm 140 19 and and CC cord-273199-xmq502gm 140 20 control control VB cord-273199-xmq502gm 140 21 . . . cord-273199-xmq502gm 141 1 The the DT cord-273199-xmq502gm 141 2 detection detection NN cord-273199-xmq502gm 141 3 of of IN cord-273199-xmq502gm 141 4 infected infected JJ cord-273199-xmq502gm 141 5 people people NNS cord-273199-xmq502gm 141 6 is be VBZ cord-273199-xmq502gm 141 7 its -PRON- PRP$ cord-273199-xmq502gm 141 8 main main JJ cord-273199-xmq502gm 141 9 purpose purpose NN cord-273199-xmq502gm 141 10 , , , cord-273199-xmq502gm 141 11 but but CC cord-273199-xmq502gm 141 12 the the DT cord-273199-xmq502gm 141 13 number number NN cord-273199-xmq502gm 141 14 of of IN cord-273199-xmq502gm 141 15 tests test NNS cord-273199-xmq502gm 141 16 is be VBZ cord-273199-xmq502gm 141 17 obviously obviously RB cord-273199-xmq502gm 141 18 not not RB cord-273199-xmq502gm 141 19 directly directly RB cord-273199-xmq502gm 141 20 related relate VBN cord-273199-xmq502gm 141 21 to to IN cord-273199-xmq502gm 141 22 the the DT cord-273199-xmq502gm 141 23 number number NN cord-273199-xmq502gm 141 24 of of IN cord-273199-xmq502gm 141 25 detections detection NNS cord-273199-xmq502gm 141 26 , , , cord-273199-xmq502gm 141 27 i.e. i.e. FW cord-273199-xmq502gm 141 28 to to IN cord-273199-xmq502gm 141 29 the the DT cord-273199-xmq502gm 141 30 number number NN cord-273199-xmq502gm 141 31 of of IN cord-273199-xmq502gm 141 32 positive positive JJ cord-273199-xmq502gm 141 33 tests test NNS cord-273199-xmq502gm 141 34 . . . cord-273199-xmq502gm 142 1 The the DT cord-273199-xmq502gm 142 2 efficiency efficiency NN cord-273199-xmq502gm 142 3 of of IN cord-273199-xmq502gm 142 4 testing testing NN cord-273199-xmq502gm 142 5 requires require VBZ cord-273199-xmq502gm 142 6 solid solid JJ cord-273199-xmq502gm 142 7 priorities priority NNS cord-273199-xmq502gm 142 8 , , , cord-273199-xmq502gm 142 9 focus focus VB cord-273199-xmq502gm 142 10 on on IN cord-273199-xmq502gm 142 11 the the DT cord-273199-xmq502gm 142 12 groups group NNS cord-273199-xmq502gm 142 13 with with IN cord-273199-xmq502gm 142 14 main main JJ cord-273199-xmq502gm 142 15 risks risk NNS cord-273199-xmq502gm 142 16 , , , cord-273199-xmq502gm 142 17 and and CC cord-273199-xmq502gm 142 18 solving solve VBG cord-273199-xmq502gm 142 19 quite quite PDT cord-273199-xmq502gm 142 20 a a DT cord-273199-xmq502gm 142 21 few few JJ cord-273199-xmq502gm 142 22 problems problem NNS cord-273199-xmq502gm 142 23 . . . cord-273199-xmq502gm 143 1 Even even RB cord-273199-xmq502gm 143 2 simple simple JJ cord-273199-xmq502gm 143 3 mentioning mention VBG cord-273199-xmq502gm 143 4 problems problem NNS cord-273199-xmq502gm 143 5 with with IN cord-273199-xmq502gm 143 6 testing testing NN cord-273199-xmq502gm 143 7 , , , cord-273199-xmq502gm 143 8 detection detection NN cord-273199-xmq502gm 143 9 and and CC cord-273199-xmq502gm 143 10 isolation isolation NN cord-273199-xmq502gm 143 11 is be VBZ cord-273199-xmq502gm 143 12 well well RB cord-273199-xmq502gm 143 13 beyond beyond IN cord-273199-xmq502gm 143 14 our -PRON- PRP$ cord-273199-xmq502gm 143 15 article article NN cord-273199-xmq502gm 143 16 . . . cord-273199-xmq502gm 144 1 However however RB cord-273199-xmq502gm 144 2 , , , cord-273199-xmq502gm 144 3 numerically numerically RB cord-273199-xmq502gm 144 4 we -PRON- PRP cord-273199-xmq502gm 144 5 can can MD cord-273199-xmq502gm 144 6 use use VB cord-273199-xmq502gm 144 7 the the DT cord-273199-xmq502gm 144 8 following following NN cord-273199-xmq502gm 144 9 . . . cord-273199-xmq502gm 145 1 During during IN cord-273199-xmq502gm 145 2 the the DT cord-273199-xmq502gm 145 3 epidemics epidemic NNS cord-273199-xmq502gm 145 4 , , , cord-273199-xmq502gm 145 5 essentially essentially RB cord-273199-xmq502gm 145 6 during during IN cord-273199-xmq502gm 145 7 the the DT cord-273199-xmq502gm 145 8 stages stage NNS cord-273199-xmq502gm 145 9 of of IN cord-273199-xmq502gm 145 10 linear linear JJ cord-273199-xmq502gm 145 11 growth growth NN cord-273199-xmq502gm 145 12 , , , cord-273199-xmq502gm 145 13 which which WDT cord-273199-xmq502gm 145 14 are be VBP cord-273199-xmq502gm 145 15 the the DT cord-273199-xmq502gm 145 16 key key NN cord-273199-xmq502gm 145 17 for for IN cord-273199-xmq502gm 145 18 us -PRON- PRP cord-273199-xmq502gm 145 19 , , , cord-273199-xmq502gm 145 20 the the DT cord-273199-xmq502gm 145 21 number number NN cord-273199-xmq502gm 145 22 of of IN cord-273199-xmq502gm 145 23 positive positive JJ cord-273199-xmq502gm 145 24 tests test NNS cord-273199-xmq502gm 145 25 can can MD cord-273199-xmq502gm 145 26 be be VB cord-273199-xmq502gm 145 27 mostly mostly RB cord-273199-xmq502gm 145 28 assumed assume VBN cord-273199-xmq502gm 145 29 a a DT cord-273199-xmq502gm 145 30 stable stable JJ cord-273199-xmq502gm 145 31 fraction fraction NN cord-273199-xmq502gm 145 32 of of IN cord-273199-xmq502gm 145 33 the the DT cord-273199-xmq502gm 145 34 total total JJ cord-273199-xmq502gm 145 35 number number NN cord-273199-xmq502gm 145 36 of of IN cord-273199-xmq502gm 145 37 tests test NNS cord-273199-xmq502gm 145 38 . . . cord-273199-xmq502gm 146 1 This this DT cord-273199-xmq502gm 146 2 is be VBZ cord-273199-xmq502gm 146 3 demonstrated demonstrate VBN cord-273199-xmq502gm 146 4 in in IN cord-273199-xmq502gm 146 5 Figure Figure NNP cord-273199-xmq502gm 146 6 1 1 CD cord-273199-xmq502gm 146 7 . . . cord-273199-xmq502gm 147 1 Such such JJ cord-273199-xmq502gm 147 2 proportionality proportionality NN cord-273199-xmq502gm 147 3 can can MD cord-273199-xmq502gm 147 4 be be VB cord-273199-xmq502gm 147 5 seen see VBN cord-273199-xmq502gm 147 6 approximately approximately RB cord-273199-xmq502gm 147 7 from from IN cord-273199-xmq502gm 147 8 March March NNP cord-273199-xmq502gm 147 9 16 16 CD cord-273199-xmq502gm 147 10 . . . cord-273199-xmq502gm 148 1 However however RB cord-273199-xmq502gm 148 2 , , , cord-273199-xmq502gm 148 3 at at IN cord-273199-xmq502gm 148 4 the the DT cord-273199-xmq502gm 148 5 end end NN cord-273199-xmq502gm 148 6 of of IN cord-273199-xmq502gm 148 7 this this DT cord-273199-xmq502gm 148 8 chart chart NN cord-273199-xmq502gm 148 9 , , , cord-273199-xmq502gm 148 10 testing testing NN cord-273199-xmq502gm 148 11 was be VBD cord-273199-xmq502gm 148 12 reduced reduce VBN cord-273199-xmq502gm 148 13 below below IN cord-273199-xmq502gm 148 14 the the DT cord-273199-xmq502gm 148 15 levels level NNS cord-273199-xmq502gm 148 16 required require VBN cord-273199-xmq502gm 148 17 for for IN cord-273199-xmq502gm 148 18 mode mode NN cord-273199-xmq502gm 148 19 ( ( -LRB- cord-273199-xmq502gm 148 20 A a NN cord-273199-xmq502gm 148 21 ) ) -RRB- cord-273199-xmq502gm 148 22 ; ; : cord-273199-xmq502gm 148 23 it -PRON- PRP cord-273199-xmq502gm 148 24 must must MD cord-273199-xmq502gm 148 25 remain remain VB cord-273199-xmq502gm 148 26 at at IN cord-273199-xmq502gm 148 27 least least JJS cord-273199-xmq502gm 148 28 constant constant JJ cord-273199-xmq502gm 148 29 until until IN cord-273199-xmq502gm 148 30 the the DT cord-273199-xmq502gm 148 31 saturation saturation NN cord-273199-xmq502gm 148 32 of of IN cord-273199-xmq502gm 148 33 the the DT cord-273199-xmq502gm 148 34 number number NN cord-273199-xmq502gm 148 35 of of IN cord-273199-xmq502gm 148 36 total total JJ cord-273199-xmq502gm 148 37 cases case NNS cord-273199-xmq502gm 148 38 . . . cord-273199-xmq502gm 149 1 The the DT cord-273199-xmq502gm 149 2 measures measure NNS cord-273199-xmq502gm 149 3 like like IN cord-273199-xmq502gm 149 4 wearing wear VBG cord-273199-xmq502gm 149 5 protective protective JJ cord-273199-xmq502gm 149 6 masks mask NNS cord-273199-xmq502gm 149 7 , , , cord-273199-xmq502gm 149 8 social social JJ cord-273199-xmq502gm 149 9 distancing distancing NN cord-273199-xmq502gm 149 10 , , , cord-273199-xmq502gm 149 11 recommended recommend VBD cord-273199-xmq502gm 149 12 self self NN cord-273199-xmq502gm 149 13 - - HYPH cord-273199-xmq502gm 149 14 isolation isolation NN cord-273199-xmq502gm 149 15 , , , cord-273199-xmq502gm 149 16 restricting restrict VBG cord-273199-xmq502gm 149 17 the the DT cord-273199-xmq502gm 149 18 size size NN cord-273199-xmq502gm 149 19 of of IN cord-273199-xmq502gm 149 20 events event NNS cord-273199-xmq502gm 149 21 are be VBP cord-273199-xmq502gm 149 22 typical typical JJ cord-273199-xmq502gm 149 23 for for IN cord-273199-xmq502gm 149 24 ( ( -LRB- cord-273199-xmq502gm 149 25 B b NN cord-273199-xmq502gm 149 26 ) ) -RRB- cord-273199-xmq502gm 149 27 . . . cord-273199-xmq502gm 150 1 This this DT cord-273199-xmq502gm 150 2 distinction distinction NN cord-273199-xmq502gm 150 3 heavily heavily RB cord-273199-xmq502gm 150 4 impact impact VBP cord-273199-xmq502gm 150 5 the the DT cord-273199-xmq502gm 150 6 differential differential JJ cord-273199-xmq502gm 150 7 equations equation NNS cord-273199-xmq502gm 150 8 we -PRON- PRP cord-273199-xmq502gm 150 9 obtained obtain VBD cord-273199-xmq502gm 150 10 in in IN cord-273199-xmq502gm 150 11 [ [ -LRB- cord-273199-xmq502gm 150 12 6 6 CD cord-273199-xmq502gm 150 13 ] ] -RRB- cord-273199-xmq502gm 150 14 . . . cord-273199-xmq502gm 151 1 However however RB cord-273199-xmq502gm 151 2 the the DT cord-273199-xmq502gm 151 3 main main JJ cord-273199-xmq502gm 151 4 difference difference NN cord-273199-xmq502gm 151 5 between between IN cord-273199-xmq502gm 151 6 the the DT cord-273199-xmq502gm 151 7 modes mode NNS cord-273199-xmq502gm 151 8 , , , cord-273199-xmq502gm 151 9 ( ( -LRB- cord-273199-xmq502gm 151 10 A a NN cord-273199-xmq502gm 151 11 ) ) -RRB- cord-273199-xmq502gm 151 12 vs. vs. FW cord-273199-xmq502gm 151 13 . . . cord-273199-xmq502gm 152 1 CC CC NNP cord-273199-xmq502gm 152 2 - - HYPH cord-273199-xmq502gm 152 3 BY BY NNP cord-273199-xmq502gm 152 4 - - HYPH cord-273199-xmq502gm 152 5 NC NC NNP cord-273199-xmq502gm 152 6 - - HYPH cord-273199-xmq502gm 152 7 ND ND NNP cord-273199-xmq502gm 152 8 4.0 4.0 CD cord-273199-xmq502gm 152 9 International international JJ cord-273199-xmq502gm 152 10 license license NN cord-273199-xmq502gm 153 1 It -PRON- PRP cord-273199-xmq502gm 153 2 is be VBZ cord-273199-xmq502gm 153 3 made make VBN cord-273199-xmq502gm 153 4 available available JJ cord-273199-xmq502gm 153 5 under under IN cord-273199-xmq502gm 153 6 a a DT cord-273199-xmq502gm 154 1 is be VBZ cord-273199-xmq502gm 154 2 the the DT cord-273199-xmq502gm 154 3 author author NN cord-273199-xmq502gm 154 4 / / SYM cord-273199-xmq502gm 154 5 funder funder NN cord-273199-xmq502gm 154 6 , , , cord-273199-xmq502gm 154 7 who who WP cord-273199-xmq502gm 154 8 has have VBZ cord-273199-xmq502gm 154 9 granted grant VBN cord-273199-xmq502gm 154 10 medRxiv medRxiv NNS cord-273199-xmq502gm 154 11 a a DT cord-273199-xmq502gm 154 12 license license NN cord-273199-xmq502gm 154 13 to to TO cord-273199-xmq502gm 154 14 display display VB cord-273199-xmq502gm 154 15 the the DT cord-273199-xmq502gm 154 16 preprint preprint NN cord-273199-xmq502gm 154 17 in in IN cord-273199-xmq502gm 154 18 perpetuity perpetuity NN cord-273199-xmq502gm 154 19 . . . cord-273199-xmq502gm 155 1 The the DT cord-273199-xmq502gm 155 2 copyright copyright NN cord-273199-xmq502gm 155 3 holder holder NN cord-273199-xmq502gm 155 4 for for IN cord-273199-xmq502gm 155 5 this this DT cord-273199-xmq502gm 155 6 preprint preprint NN cord-273199-xmq502gm 155 7 this this DT cord-273199-xmq502gm 155 8 version version NN cord-273199-xmq502gm 155 9 posted post VBN cord-273199-xmq502gm 155 10 May May NNP cord-273199-xmq502gm 155 11 2 2 CD cord-273199-xmq502gm 155 12 , , , cord-273199-xmq502gm 155 13 2020 2020 CD cord-273199-xmq502gm 155 14 . . . cord-273199-xmq502gm 156 1 Hard hard JJ cord-273199-xmq502gm 156 2 measures measure NNS cord-273199-xmq502gm 156 3 are be VBP cord-273199-xmq502gm 156 4 the the DT cord-273199-xmq502gm 156 5 key key NN cord-273199-xmq502gm 156 6 . . . cord-273199-xmq502gm 157 1 Generally generally RB cord-273199-xmq502gm 157 2 , , , cord-273199-xmq502gm 157 3 the the DT cord-273199-xmq502gm 157 4 ( ( -LRB- cord-273199-xmq502gm 157 5 A)-type A)-type NNP cord-273199-xmq502gm 157 6 approach approach NN cord-273199-xmq502gm 157 7 provides provide VBZ cord-273199-xmq502gm 157 8 the the DT cord-273199-xmq502gm 157 9 fastest fast JJS cord-273199-xmq502gm 157 10 possible possible JJ cord-273199-xmq502gm 157 11 and and CC cord-273199-xmq502gm 157 12 " " `` cord-273199-xmq502gm 157 13 hard hard JJ cord-273199-xmq502gm 157 14 " " '' cord-273199-xmq502gm 157 15 response response NN cord-273199-xmq502gm 157 16 to to IN cord-273199-xmq502gm 157 17 the the DT cord-273199-xmq502gm 157 18 changes change NNS cord-273199-xmq502gm 157 19 with with IN cord-273199-xmq502gm 157 20 the the DT cord-273199-xmq502gm 157 21 number number NN cord-273199-xmq502gm 157 22 of of IN cord-273199-xmq502gm 157 23 infections infection NNS cord-273199-xmq502gm 157 24 , , , cord-273199-xmq502gm 157 25 whereas whereas IN cord-273199-xmq502gm 157 26 we -PRON- PRP cord-273199-xmq502gm 157 27 somewhat somewhat RB cord-273199-xmq502gm 157 28 postpone postpone VBP cord-273199-xmq502gm 157 29 with with IN cord-273199-xmq502gm 157 30 our -PRON- PRP$ cord-273199-xmq502gm 157 31 actions action NNS cord-273199-xmq502gm 157 32 until until IN cord-273199-xmq502gm 157 33 the the DT cord-273199-xmq502gm 157 34 averages average NNS cord-273199-xmq502gm 157 35 reach reach VBP cord-273199-xmq502gm 157 36 proper proper JJ cord-273199-xmq502gm 157 37 levels level NNS cord-273199-xmq502gm 157 38 under under IN cord-273199-xmq502gm 157 39 ( ( -LRB- cord-273199-xmq502gm 157 40 B b NN cord-273199-xmq502gm 157 41 ) ) -RRB- cord-273199-xmq502gm 157 42 , , , cord-273199-xmq502gm 157 43 and and CC cord-273199-xmq502gm 157 44 the the DT cord-273199-xmq502gm 157 45 measures measure NNS cord-273199-xmq502gm 157 46 we -PRON- PRP cord-273199-xmq502gm 157 47 implement implement VBP cord-273199-xmq502gm 157 48 are be VBP cord-273199-xmq502gm 157 49 " " `` cord-273199-xmq502gm 157 50 softer soft JJR cord-273199-xmq502gm 157 51 " " '' cord-273199-xmq502gm 157 52 . . . cord-273199-xmq502gm 158 1 Mathematically mathematically RB cord-273199-xmq502gm 158 2 , , , cord-273199-xmq502gm 158 3 the the DT cord-273199-xmq502gm 158 4 latter latter JJ cord-273199-xmq502gm 158 5 way way NN cord-273199-xmq502gm 158 6 is be VBZ cord-273199-xmq502gm 158 7 better well RBR cord-273199-xmq502gm 158 8 protected protect VBN cord-273199-xmq502gm 158 9 against against IN cord-273199-xmq502gm 158 10 stochastic stochastic JJ cord-273199-xmq502gm 158 11 fluctuations fluctuation NNS cord-273199-xmq502gm 158 12 , , , cord-273199-xmq502gm 158 13 but but CC cord-273199-xmq502gm 158 14 ( ( -LRB- cord-273199-xmq502gm 158 15 B b NN cord-273199-xmq502gm 158 16 ) ) -RRB- cord-273199-xmq502gm 158 17 is be VBZ cord-273199-xmq502gm 158 18 slower slow JJR cord-273199-xmq502gm 158 19 and and CC cord-273199-xmq502gm 158 20 can can MD cord-273199-xmq502gm 158 21 not not RB cord-273199-xmq502gm 158 22 alone alone RB cord-273199-xmq502gm 158 23 lead lead VB cord-273199-xmq502gm 158 24 to to IN cord-273199-xmq502gm 158 25 the the DT cord-273199-xmq502gm 158 26 termination termination NN cord-273199-xmq502gm 158 27 of of IN cord-273199-xmq502gm 158 28 the the DT cord-273199-xmq502gm 158 29 epidemic epidemic NN cord-273199-xmq502gm 158 30 , , , cord-273199-xmq502gm 158 31 which which WDT cord-273199-xmq502gm 158 32 we -PRON- PRP cord-273199-xmq502gm 158 33 justify justify VBP cord-273199-xmq502gm 158 34 mathematically mathematically RB cord-273199-xmq502gm 158 35 within within IN cord-273199-xmq502gm 158 36 our -PRON- PRP$ cord-273199-xmq502gm 158 37 approach approach NN cord-273199-xmq502gm 158 38 . . . cord-273199-xmq502gm 159 1 The the DT cord-273199-xmq502gm 159 2 main main JJ cord-273199-xmq502gm 159 3 objective objective NN cord-273199-xmq502gm 159 4 of of IN cord-273199-xmq502gm 159 5 any any DT cord-273199-xmq502gm 159 6 managing manage VBG cord-273199-xmq502gm 159 7 epidemics epidemic NNS cord-273199-xmq502gm 159 8 is be VBZ cord-273199-xmq502gm 159 9 to to TO cord-273199-xmq502gm 159 10 quickly quickly RB cord-273199-xmq502gm 159 11 end end VB cord-273199-xmq502gm 159 12 them -PRON- PRP cord-273199-xmq502gm 159 13 . . . cord-273199-xmq502gm 160 1 However however RB cord-273199-xmq502gm 160 2 the the DT cord-273199-xmq502gm 160 3 excessive excessive JJ cord-273199-xmq502gm 160 4 usage usage NN cord-273199-xmq502gm 160 5 of of IN cord-273199-xmq502gm 160 6 hard hard JJ cord-273199-xmq502gm 160 7 measures measure NNS cord-273199-xmq502gm 160 8 can can MD cord-273199-xmq502gm 160 9 lead lead VB cord-273199-xmq502gm 160 10 to to IN cord-273199-xmq502gm 160 11 the the DT cord-273199-xmq502gm 160 12 recurrence recurrence NN cord-273199-xmq502gm 160 13 of of IN cord-273199-xmq502gm 160 14 the the DT cord-273199-xmq502gm 160 15 epidemic epidemic NN cord-273199-xmq502gm 160 16 , , , cord-273199-xmq502gm 160 17 some some DT cord-273199-xmq502gm 160 18 kind kind NN cord-273199-xmq502gm 160 19 of of IN cord-273199-xmq502gm 160 20 " " `` cord-273199-xmq502gm 160 21 cost cost NN cord-273199-xmq502gm 160 22 " " '' cord-273199-xmq502gm 160 23 of of IN cord-273199-xmq502gm 160 24 our -PRON- PRP$ cord-273199-xmq502gm 160 25 aggressive aggressive JJ cord-273199-xmq502gm 160 26 interference interference NN cord-273199-xmq502gm 160 27 in in IN cord-273199-xmq502gm 160 28 a a DT cord-273199-xmq502gm 160 29 natural natural JJ cord-273199-xmq502gm 160 30 process process NN cord-273199-xmq502gm 160 31 . . . cord-273199-xmq502gm 161 1 This this DT cord-273199-xmq502gm 161 2 can can MD cord-273199-xmq502gm 161 3 be be VB cord-273199-xmq502gm 161 4 avoided avoid VBN cord-273199-xmq502gm 161 5 only only RB cord-273199-xmq502gm 161 6 if if IN cord-273199-xmq502gm 161 7 we -PRON- PRP cord-273199-xmq502gm 161 8 continue continue VBP cord-273199-xmq502gm 161 9 to to TO cord-273199-xmq502gm 161 10 stick stick VB cord-273199-xmq502gm 161 11 to to IN cord-273199-xmq502gm 161 12 the the DT cord-273199-xmq502gm 161 13 prevention prevention NN cord-273199-xmq502gm 161 14 measures measure NNS cord-273199-xmq502gm 161 15 as as RB cord-273199-xmq502gm 161 16 much much RB cord-273199-xmq502gm 161 17 as as IN cord-273199-xmq502gm 161 18 possible possible JJ cord-273199-xmq502gm 161 19 even even RB cord-273199-xmq502gm 161 20 when when WRB cord-273199-xmq502gm 161 21 the the DT cord-273199-xmq502gm 161 22 number number NN cord-273199-xmq502gm 161 23 of of IN cord-273199-xmq502gm 161 24 new new JJ cord-273199-xmq502gm 161 25 infections infection NNS cord-273199-xmq502gm 161 26 goes go VBZ cord-273199-xmq502gm 161 27 down down RB cord-273199-xmq502gm 161 28 significantly significantly RB cord-273199-xmq502gm 161 29 . . . cord-273199-xmq502gm 162 1 Reducing reduce VBG cord-273199-xmq502gm 162 2 them -PRON- PRP cord-273199-xmq502gm 162 3 too too RB cord-273199-xmq502gm 162 4 much much RB cord-273199-xmq502gm 162 5 on on IN cord-273199-xmq502gm 162 6 the the DT cord-273199-xmq502gm 162 7 first first JJ cord-273199-xmq502gm 162 8 signs sign NNS cord-273199-xmq502gm 162 9 of of IN cord-273199-xmq502gm 162 10 improvement improvement NN cord-273199-xmq502gm 162 11 is be VBZ cord-273199-xmq502gm 162 12 a a DT cord-273199-xmq502gm 162 13 way way NN cord-273199-xmq502gm 162 14 to to IN cord-273199-xmq502gm 162 15 the the DT cord-273199-xmq502gm 162 16 recurrence recurrence NN cord-273199-xmq502gm 162 17 of of IN cord-273199-xmq502gm 162 18 the the DT cord-273199-xmq502gm 162 19 epidemic epidemic NN cord-273199-xmq502gm 162 20 , , , cord-273199-xmq502gm 162 21 which which WDT cord-273199-xmq502gm 162 22 we -PRON- PRP cord-273199-xmq502gm 162 23 see see VBP cord-273199-xmq502gm 162 24 mathematically mathematically RB cord-273199-xmq502gm 162 25 within within IN cord-273199-xmq502gm 162 26 our -PRON- PRP$ cord-273199-xmq502gm 162 27 approach approach NN cord-273199-xmq502gm 162 28 . . . cord-273199-xmq502gm 163 1 Some some DT cord-273199-xmq502gm 163 2 biological biological JJ cord-273199-xmq502gm 163 3 aspects aspect NNS cord-273199-xmq502gm 163 4 . . . cord-273199-xmq502gm 164 1 The the DT cord-273199-xmq502gm 164 2 viral viral JJ cord-273199-xmq502gm 164 3 fitness fitness NN cord-273199-xmq502gm 164 4 is be VBZ cord-273199-xmq502gm 164 5 an an DT cord-273199-xmq502gm 164 6 obvious obvious JJ cord-273199-xmq502gm 164 7 component component NN cord-273199-xmq502gm 164 8 of of IN cord-273199-xmq502gm 164 9 the the DT cord-273199-xmq502gm 164 10 transmission transmission NN cord-273199-xmq502gm 164 11 rate rate NN cord-273199-xmq502gm 164 12 c. c. NNP cord-273199-xmq502gm 165 1 Its -PRON- PRP$ cord-273199-xmq502gm 165 2 diminishing diminishing NN cord-273199-xmq502gm 165 3 over over IN cord-273199-xmq502gm 165 4 time time NN cord-273199-xmq502gm 165 5 can can MD cord-273199-xmq502gm 165 6 be be VB cord-273199-xmq502gm 165 7 expected expect VBN cord-273199-xmq502gm 165 8 , , , cord-273199-xmq502gm 165 9 but but CC cord-273199-xmq502gm 165 10 this this DT cord-273199-xmq502gm 165 11 is be VBZ cord-273199-xmq502gm 165 12 involved involve VBN cord-273199-xmq502gm 165 13 . . . cord-273199-xmq502gm 166 1 This this DT cord-273199-xmq502gm 166 2 can can MD cord-273199-xmq502gm 166 3 happen happen VB cord-273199-xmq502gm 166 4 because because IN cord-273199-xmq502gm 166 5 of of IN cord-273199-xmq502gm 166 6 the the DT cord-273199-xmq502gm 166 7 virus virus NN cord-273199-xmq502gm 166 8 replication replication NN cord-273199-xmq502gm 166 9 errors error NNS cord-273199-xmq502gm 166 10 . . . cord-273199-xmq502gm 167 1 The the DT cord-273199-xmq502gm 167 2 RNA RNA NNP cord-273199-xmq502gm 167 3 viruses virus NNS cord-273199-xmq502gm 167 4 , , , cord-273199-xmq502gm 167 5 Covid-19 Covid-19 NNP cord-273199-xmq502gm 167 6 included include VBN cord-273199-xmq502gm 167 7 , , , cord-273199-xmq502gm 167 8 replicate replicate VB cord-273199-xmq502gm 167 9 with with IN cord-273199-xmq502gm 167 10 fidelity fidelity NN cord-273199-xmq502gm 167 11 that that WDT cord-273199-xmq502gm 167 12 is be VBZ cord-273199-xmq502gm 167 13 close close JJ cord-273199-xmq502gm 167 14 to to TO cord-273199-xmq502gm 167 15 error error NN cord-273199-xmq502gm 167 16 catastrophe catastrophe NN cord-273199-xmq502gm 167 17 . . . cord-273199-xmq502gm 168 1 See see VB cord-273199-xmq502gm 168 2 e.g. e.g. DT cord-273199-xmq502gm 168 3 [ [ -LRB- cord-273199-xmq502gm 168 4 8 8 CD cord-273199-xmq502gm 168 5 ] ] -RRB- cord-273199-xmq502gm 168 6 for for IN cord-273199-xmq502gm 168 7 some some DT cord-273199-xmq502gm 168 8 review review NN cord-273199-xmq502gm 168 9 and and CC cord-273199-xmq502gm 168 10 predictions prediction NNS cord-273199-xmq502gm 168 11 . . . cord-273199-xmq502gm 169 1 Such such JJ cord-273199-xmq502gm 169 2 matters matter NNS cord-273199-xmq502gm 169 3 are be VBP cord-273199-xmq502gm 169 4 well well RB cord-273199-xmq502gm 169 5 beyond beyond IN cord-273199-xmq502gm 169 6 this this DT cord-273199-xmq502gm 169 7 paper paper NN cord-273199-xmq502gm 169 8 , , , cord-273199-xmq502gm 169 9 but but CC cord-273199-xmq502gm 169 10 one one CD cord-273199-xmq502gm 169 11 biological biological JJ cord-273199-xmq502gm 169 12 aspect aspect NN cord-273199-xmq502gm 169 13 must must MD cord-273199-xmq502gm 169 14 be be VB cord-273199-xmq502gm 169 15 mentioned mention VBN cord-273199-xmq502gm 169 16 , , , cord-273199-xmq502gm 169 17 concerning concern VBG cord-273199-xmq502gm 169 18 the the DT cord-273199-xmq502gm 169 19 asymptomatic asymptomatic JJ cord-273199-xmq502gm 169 20 cases case NNS cord-273199-xmq502gm 169 21 . . . cord-273199-xmq502gm 170 1 The the DT cord-273199-xmq502gm 170 2 viruses virus NNS cord-273199-xmq502gm 170 3 mutate mutate VBP cord-273199-xmq502gm 170 4 at at IN cord-273199-xmq502gm 170 5 very very RB cord-273199-xmq502gm 170 6 high high JJ cord-273199-xmq502gm 170 7 rates rate NNS cord-273199-xmq502gm 170 8 . . . cord-273199-xmq502gm 171 1 They -PRON- PRP cord-273199-xmq502gm 171 2 can can MD cord-273199-xmq502gm 171 3 " " `` cord-273199-xmq502gm 171 4 soften soften VB cord-273199-xmq502gm 171 5 " " '' cord-273199-xmq502gm 171 6 over over IN cord-273199-xmq502gm 171 7 time time NN cord-273199-xmq502gm 171 8 to to TO cord-273199-xmq502gm 171 9 better better RB cord-273199-xmq502gm 171 10 coexist coexist VB cord-273199-xmq502gm 171 11 with with IN cord-273199-xmq502gm 171 12 the the DT cord-273199-xmq502gm 171 13 hosts host NNS cord-273199-xmq502gm 171 14 , , , cord-273199-xmq502gm 171 15 though though IN cord-273199-xmq502gm 171 16 fast fast JJ cord-273199-xmq502gm 171 17 and and CC cord-273199-xmq502gm 171 18 efficient efficient JJ cord-273199-xmq502gm 171 19 spread spread NN cord-273199-xmq502gm 171 20 is be VBZ cord-273199-xmq502gm 171 21 of of IN cord-273199-xmq502gm 171 22 course course NN cord-273199-xmq502gm 171 23 the the DT cord-273199-xmq502gm 171 24 " " `` cord-273199-xmq502gm 171 25 prime prime JJ cord-273199-xmq502gm 171 26 objective objective NN cord-273199-xmq502gm 171 27 " " '' cord-273199-xmq502gm 171 28 of of IN cord-273199-xmq502gm 171 29 any any DT cord-273199-xmq502gm 171 30 virus virus NN cord-273199-xmq502gm 171 31 . . . cord-273199-xmq502gm 172 1 Such such JJ cord-273199-xmq502gm 172 2 softening softening NN cord-273199-xmq502gm 172 3 can can MD cord-273199-xmq502gm 172 4 result result VB cord-273199-xmq502gm 172 5 in in IN cord-273199-xmq502gm 172 6 an an DT cord-273199-xmq502gm 172 7 increase increase NN cord-273199-xmq502gm 172 8 of of IN cord-273199-xmq502gm 172 9 asymptomatic asymptomatic JJ cord-273199-xmq502gm 172 10 cases case NNS cord-273199-xmq502gm 172 11 , , , cord-273199-xmq502gm 172 12 difficult difficult JJ cord-273199-xmq502gm 172 13 to to TO cord-273199-xmq502gm 172 14 detect detect VB cord-273199-xmq502gm 172 15 . . . cord-273199-xmq502gm 173 1 So so RB cord-273199-xmq502gm 173 2 this this DT cord-273199-xmq502gm 173 3 can can MD cord-273199-xmq502gm 173 4 . . . cord-273199-xmq502gm 174 1 CC CC NNP cord-273199-xmq502gm 174 2 - - HYPH cord-273199-xmq502gm 174 3 BY BY NNP cord-273199-xmq502gm 174 4 - - HYPH cord-273199-xmq502gm 174 5 NC NC NNP cord-273199-xmq502gm 174 6 - - HYPH cord-273199-xmq502gm 174 7 ND ND NNP cord-273199-xmq502gm 174 8 4.0 4.0 CD cord-273199-xmq502gm 174 9 International international JJ cord-273199-xmq502gm 174 10 license license NN cord-273199-xmq502gm 174 11 It -PRON- PRP cord-273199-xmq502gm 174 12 is be VBZ cord-273199-xmq502gm 174 13 made make VBN cord-273199-xmq502gm 174 14 available available JJ cord-273199-xmq502gm 174 15 under under IN cord-273199-xmq502gm 174 16 a a DT cord-273199-xmq502gm 175 1 is be VBZ cord-273199-xmq502gm 175 2 the the DT cord-273199-xmq502gm 175 3 author author NN cord-273199-xmq502gm 175 4 / / SYM cord-273199-xmq502gm 175 5 funder funder NN cord-273199-xmq502gm 175 6 , , , cord-273199-xmq502gm 175 7 who who WP cord-273199-xmq502gm 175 8 has have VBZ cord-273199-xmq502gm 175 9 granted grant VBN cord-273199-xmq502gm 175 10 medRxiv medRxiv NNS cord-273199-xmq502gm 175 11 a a DT cord-273199-xmq502gm 175 12 license license NN cord-273199-xmq502gm 175 13 to to TO cord-273199-xmq502gm 175 14 display display VB cord-273199-xmq502gm 175 15 the the DT cord-273199-xmq502gm 175 16 preprint preprint NN cord-273199-xmq502gm 175 17 in in IN cord-273199-xmq502gm 175 18 perpetuity perpetuity NN cord-273199-xmq502gm 175 19 . . . cord-273199-xmq502gm 176 1 The the DT cord-273199-xmq502gm 176 2 copyright copyright NN cord-273199-xmq502gm 176 3 holder holder NN cord-273199-xmq502gm 176 4 for for IN cord-273199-xmq502gm 176 5 this this DT cord-273199-xmq502gm 176 6 preprint preprint NN cord-273199-xmq502gm 176 7 this this DT cord-273199-xmq502gm 176 8 version version NN cord-273199-xmq502gm 176 9 posted post VBN cord-273199-xmq502gm 176 10 May May NNP cord-273199-xmq502gm 176 11 2 2 CD cord-273199-xmq502gm 176 12 , , , cord-273199-xmq502gm 176 13 2020 2020 CD cord-273199-xmq502gm 176 14 . . . cord-273199-xmq502gm 176 15 . . . cord-273199-xmq502gm 177 1 https://doi.org/10.1101/2020.04.29.20084483 https://doi.org/10.1101/2020.04.29.20084483 NN cord-273199-xmq502gm 177 2 doi doi NN cord-273199-xmq502gm 177 3 : : : cord-273199-xmq502gm 178 1 medRxiv medRxiv NNP cord-273199-xmq502gm 178 2 preprint preprint NN cord-273199-xmq502gm 178 3 contribute contribute VBP cord-273199-xmq502gm 178 4 to to IN cord-273199-xmq502gm 178 5 diminishing diminish VBG cord-273199-xmq502gm 178 6 c c NN cord-273199-xmq502gm 179 1 we -PRON- PRP cord-273199-xmq502gm 179 2 observe observe VBP cord-273199-xmq502gm 179 3 , , , cord-273199-xmq502gm 179 4 though though IN cord-273199-xmq502gm 179 5 this this DT cord-273199-xmq502gm 179 6 is be VBZ cord-273199-xmq502gm 179 7 not not RB cord-273199-xmq502gm 179 8 because because IN cord-273199-xmq502gm 179 9 of of IN cord-273199-xmq502gm 179 10 the the DT cord-273199-xmq502gm 179 11 decrease decrease NN cord-273199-xmq502gm 179 12 of of IN cord-273199-xmq502gm 179 13 the the DT cord-273199-xmq502gm 179 14 spread spread NN cord-273199-xmq502gm 179 15 of of IN cord-273199-xmq502gm 179 16 the the DT cord-273199-xmq502gm 179 17 disease disease NN cord-273199-xmq502gm 179 18 . . . cord-273199-xmq502gm 180 1 We -PRON- PRP cord-273199-xmq502gm 180 2 model model VBP cord-273199-xmq502gm 180 3 the the DT cord-273199-xmq502gm 180 4 available available JJ cord-273199-xmq502gm 180 5 ( ( -LRB- cord-273199-xmq502gm 180 6 posted post VBN cord-273199-xmq502gm 180 7 ) ) -RRB- cord-273199-xmq502gm 180 8 numbers number NNS cord-273199-xmq502gm 180 9 of of IN cord-273199-xmq502gm 180 10 total total JJ cord-273199-xmq502gm 180 11 infections infection NNS cord-273199-xmq502gm 180 12 , , , cord-273199-xmq502gm 180 13 which which WDT cord-273199-xmq502gm 180 14 mostly mostly RB cord-273199-xmq502gm 180 15 reflect reflect VBP cord-273199-xmq502gm 180 16 the the DT cord-273199-xmq502gm 180 17 symptomatic symptomatic JJ cord-273199-xmq502gm 180 18 cases case NNS cord-273199-xmq502gm 180 19 . . . cord-273199-xmq502gm 181 1 To to TO cord-273199-xmq502gm 181 2 summarize summarize VB cord-273199-xmq502gm 181 3 , , , cord-273199-xmq502gm 181 4 it -PRON- PRP cord-273199-xmq502gm 181 5 is be VBZ cord-273199-xmq502gm 181 6 not not RB cord-273199-xmq502gm 181 7 impossible impossible JJ cord-273199-xmq502gm 181 8 that that IN cord-273199-xmq502gm 181 9 the the DT cord-273199-xmq502gm 181 10 replication replication NN cord-273199-xmq502gm 181 11 errors error NNS cord-273199-xmq502gm 181 12 and and CC cord-273199-xmq502gm 181 13 " " `` cord-273199-xmq502gm 181 14 softening soften VBG cord-273199-xmq502gm 181 15 the the DT cord-273199-xmq502gm 181 16 virus virus NN cord-273199-xmq502gm 181 17 " " `` cord-273199-xmq502gm 181 18 may may MD cord-273199-xmq502gm 181 19 result result VB cord-273199-xmq502gm 181 20 in in IN cord-273199-xmq502gm 181 21 diminishing diminish VBG cord-273199-xmq502gm 181 22 c c NN cord-273199-xmq502gm 181 23 at at IN cord-273199-xmq502gm 181 24 later later JJ cord-273199-xmq502gm 181 25 stages stage NNS cord-273199-xmq502gm 181 26 of of IN cord-273199-xmq502gm 181 27 the the DT cord-273199-xmq502gm 181 28 epidemic epidemic NN cord-273199-xmq502gm 181 29 , , , cord-273199-xmq502gm 181 30 but but CC cord-273199-xmq502gm 181 31 we -PRON- PRP cord-273199-xmq502gm 181 32 think think VBP cord-273199-xmq502gm 181 33 that that IN cord-273199-xmq502gm 181 34 the the DT cord-273199-xmq502gm 181 35 reduction reduction NN cord-273199-xmq502gm 181 36 of of IN cord-273199-xmq502gm 181 37 the the DT cord-273199-xmq502gm 181 38 contacts contact NNS cord-273199-xmq502gm 181 39 of of IN cord-273199-xmq502gm 181 40 infected infected JJ cord-273199-xmq502gm 181 41 people people NNS cord-273199-xmq502gm 181 42 with with IN cord-273199-xmq502gm 181 43 the the DT cord-273199-xmq502gm 181 44 others other NNS cord-273199-xmq502gm 181 45 dominates dominate VBZ cord-273199-xmq502gm 181 46 here here RB cord-273199-xmq502gm 181 47 , , , cord-273199-xmq502gm 181 48 which which WDT cord-273199-xmq502gm 181 49 is be VBZ cord-273199-xmq502gm 181 50 directly directly RB cord-273199-xmq502gm 181 51 linked link VBN cord-273199-xmq502gm 181 52 to to IN cord-273199-xmq502gm 181 53 behavioral behavioral JJ cord-273199-xmq502gm 181 54 science science NN cord-273199-xmq502gm 181 55 , , , cord-273199-xmq502gm 181 56 sociology sociology NN cord-273199-xmq502gm 181 57 and and CC cord-273199-xmq502gm 181 58 psychology psychology NN cord-273199-xmq502gm 181 59 . . . cord-273199-xmq502gm 182 1 3 3 LS cord-273199-xmq502gm 182 2 . . . cord-273199-xmq502gm 183 1 The the DT cord-273199-xmq502gm 183 2 formula formula NN cord-273199-xmq502gm 183 3 for for IN cord-273199-xmq502gm 183 4 the the DT cord-273199-xmq502gm 183 5 growth growth NN cord-273199-xmq502gm 183 6 .. .. . cord-273199-xmq502gm 184 1 We -PRON- PRP cord-273199-xmq502gm 184 2 will will MD cord-273199-xmq502gm 184 3 need need VB cord-273199-xmq502gm 184 4 the the DT cord-273199-xmq502gm 184 5 definition definition NN cord-273199-xmq502gm 184 6 of of IN cord-273199-xmq502gm 184 7 the the DT cord-273199-xmq502gm 184 8 Bessel Bessel NNP cord-273199-xmq502gm 184 9 functions function NNS cord-273199-xmq502gm 184 10 of of IN cord-273199-xmq502gm 184 11 the the DT cord-273199-xmq502gm 184 12 first first JJ cord-273199-xmq502gm 184 13 kind kind NN cord-273199-xmq502gm 184 14 : : : cord-273199-xmq502gm 184 15 . . . cord-273199-xmq502gm 185 1 The the DT cord-273199-xmq502gm 185 2 key key JJ cord-273199-xmq502gm 185 3 point point NN cord-273199-xmq502gm 185 4 is be VBZ cord-273199-xmq502gm 185 5 that that IN cord-273199-xmq502gm 185 6 measures measure NNS cord-273199-xmq502gm 185 7 of of IN cord-273199-xmq502gm 185 8 type type NN cord-273199-xmq502gm 185 9 ( ( -LRB- cord-273199-xmq502gm 185 10 A a NN cord-273199-xmq502gm 185 11 ) ) -RRB- cord-273199-xmq502gm 185 12 have have VBP cord-273199-xmq502gm 185 13 " " `` cord-273199-xmq502gm 185 14 ramified ramified JJ cord-273199-xmq502gm 185 15 " " '' cord-273199-xmq502gm 185 16 consequences consequence NNS cord-273199-xmq502gm 185 17 , , , cord-273199-xmq502gm 185 18 in in IN cord-273199-xmq502gm 185 19 some some DT cord-273199-xmq502gm 185 20 contrast contrast NN cord-273199-xmq502gm 185 21 to to IN cord-273199-xmq502gm 185 22 mode mode NN cord-273199-xmq502gm 185 23 ( ( -LRB- cord-273199-xmq502gm 185 24 B b NN cord-273199-xmq502gm 185 25 ) ) -RRB- cord-273199-xmq502gm 185 26 . . . cord-273199-xmq502gm 186 1 Namely namely RB cord-273199-xmq502gm 186 2 , , , cord-273199-xmq502gm 186 3 an an DT cord-273199-xmq502gm 186 4 isolated isolated JJ cord-273199-xmq502gm 186 5 infected infected JJ cord-273199-xmq502gm 186 6 individual individual NN cord-273199-xmq502gm 186 7 will will MD cord-273199-xmq502gm 186 8 not not RB cord-273199-xmq502gm 186 9 transmit transmit VB cord-273199-xmq502gm 186 10 the the DT cord-273199-xmq502gm 186 11 virus virus NN cord-273199-xmq502gm 186 12 to to IN cord-273199-xmq502gm 186 13 many many JJ cord-273199-xmq502gm 186 14 people people NNS cord-273199-xmq502gm 186 15 and and CC cord-273199-xmq502gm 186 16 the the DT cord-273199-xmq502gm 186 17 number number NN cord-273199-xmq502gm 186 18 of of IN cord-273199-xmq502gm 186 19 those those DT cord-273199-xmq502gm 186 20 protected protect VBN cord-273199-xmq502gm 186 21 due due IN cord-273199-xmq502gm 186 22 to to IN cord-273199-xmq502gm 186 23 this this DT cord-273199-xmq502gm 186 24 isolation isolation NN cord-273199-xmq502gm 186 25 grows grow VBZ cord-273199-xmq502gm 186 26 over over IN cord-273199-xmq502gm 186 27 time time NN cord-273199-xmq502gm 186 28 . . . cord-273199-xmq502gm 187 1 Combining combine VBG cord-273199-xmq502gm 187 2 this this DT cord-273199-xmq502gm 187 3 with with IN cord-273199-xmq502gm 187 4 our -PRON- PRP$ cord-273199-xmq502gm 187 5 understanding understanding NN cord-273199-xmq502gm 187 6 of of IN cord-273199-xmq502gm 187 7 the the DT cord-273199-xmq502gm 187 8 power power NN cord-273199-xmq502gm 187 9 law law NN cord-273199-xmq502gm 187 10 of of IN cord-273199-xmq502gm 187 11 epidemics epidemic NNS cord-273199-xmq502gm 187 12 , , , cord-273199-xmq502gm 187 13 we -PRON- PRP cord-273199-xmq502gm 187 14 arrive arrive VBP cord-273199-xmq502gm 187 15 at at IN cord-273199-xmq502gm 187 16 the the DT cord-273199-xmq502gm 187 17 differential differential JJ cord-273199-xmq502gm 187 18 equation equation NN cord-273199-xmq502gm 187 19 for for IN cord-273199-xmq502gm 187 20 the the DT cord-273199-xmq502gm 187 21 total total JJ cord-273199-xmq502gm 187 22 number number NN cord-273199-xmq502gm 187 23 of of IN cord-273199-xmq502gm 187 24 infections infection NNS cord-273199-xmq502gm 187 25 u(t u(t NN cord-273199-xmq502gm 187 26 ) ) -RRB- cord-273199-xmq502gm 187 27 : : : cord-273199-xmq502gm 187 28 There there EX cord-273199-xmq502gm 187 29 is be VBZ cord-273199-xmq502gm 187 30 a a DT cord-273199-xmq502gm 187 31 surprisingly surprisingly RB cord-273199-xmq502gm 187 32 perfect perfect JJ cord-273199-xmq502gm 187 33 match match NN cord-273199-xmq502gm 187 34 of of IN cord-273199-xmq502gm 187 35 the the DT cord-273199-xmq502gm 187 36 total total JJ cord-273199-xmq502gm 187 37 number number NN cord-273199-xmq502gm 187 38 of of IN cord-273199-xmq502gm 187 39 infections infection NNS cord-273199-xmq502gm 187 40 for for IN cord-273199-xmq502gm 187 41 Covid-19 covid-19 NN cord-273199-xmq502gm 187 42 in in IN cord-273199-xmq502gm 187 43 the the DT cord-273199-xmq502gm 187 44 USA USA NNP cord-273199-xmq502gm 187 45 and and CC cord-273199-xmq502gm 187 46 UK UK NNP cord-273199-xmq502gm 187 47 till till IN cord-273199-xmq502gm 187 48 April April NNP cord-273199-xmq502gm 187 49 14 14 CD cord-273199-xmq502gm 187 50 with with IN cord-273199-xmq502gm 187 51 our -PRON- PRP$ cord-273199-xmq502gm 187 52 solutions solution NNS cord-273199-xmq502gm 187 53 u(t u(t NNP cord-273199-xmq502gm 187 54 ) ) -RRB- cord-273199-xmq502gm 187 55 above above RB cord-273199-xmq502gm 187 56 . . . cord-273199-xmq502gm 188 1 This this DT cord-273199-xmq502gm 188 2 is be VBZ cord-273199-xmq502gm 188 3 from from IN cord-273199-xmq502gm 188 4 the the DT cord-273199-xmq502gm 188 5 moment moment NN cord-273199-xmq502gm 188 6 when when WRB cord-273199-xmq502gm 188 7 these these DT cord-273199-xmq502gm 188 8 numbers number NNS cord-273199-xmq502gm 188 9 begin begin VBP cord-273199-xmq502gm 188 10 to to TO cord-273199-xmq502gm 188 11 grow grow VB cord-273199-xmq502gm 188 12 " " `` cord-273199-xmq502gm 188 13 significantly significantly RB cord-273199-xmq502gm 188 14 " " '' cord-273199-xmq502gm 188 15 , , , cord-273199-xmq502gm 188 16 approximately approximately RB cord-273199-xmq502gm 188 17 around around IN cord-273199-xmq502gm 188 18 March March NNP cord-273199-xmq502gm 188 19 16 16 CD cord-273199-xmq502gm 188 20 for for IN cord-273199-xmq502gm 188 21 the the DT cord-273199-xmq502gm 188 22 USA USA NNP cord-273199-xmq502gm 188 23 and and CC cord-273199-xmq502gm 188 24 UK UK NNP cord-273199-xmq502gm 188 25 . . . cord-273199-xmq502gm 189 1 Epidemics epidemic NNS cord-273199-xmq502gm 189 2 are be VBP cord-273199-xmq502gm 189 3 very very RB cord-273199-xmq502gm 189 4 stochastic stochastic JJ cord-273199-xmq502gm 189 5 processes process NNS cord-273199-xmq502gm 189 6 , , , cord-273199-xmq502gm 189 7 so so RB cord-273199-xmq502gm 189 8 such such PDT cord-273199-xmq502gm 189 9 a a DT cord-273199-xmq502gm 189 10 precision precision NN cord-273199-xmq502gm 189 11 is be VBZ cord-273199-xmq502gm 189 12 surprising surprising JJ cord-273199-xmq502gm 189 13 . . . cord-273199-xmq502gm 190 1 The the DT cord-273199-xmq502gm 190 2 site site NN cord-273199-xmq502gm 190 3 https://ourworldindata.org/coronavirus https://ourworldindata.org/coronavirus CD cord-273199-xmq502gm 190 4 is be VBZ cord-273199-xmq502gm 190 5 mostly mostly RB cord-273199-xmq502gm 190 6 used use VBN cord-273199-xmq502gm 190 7 for for IN cord-273199-xmq502gm 190 8 data datum NNS cord-273199-xmq502gm 190 9 , , , cord-273199-xmq502gm 190 10 updated update VBN cord-273199-xmq502gm 190 11 at at IN cord-273199-xmq502gm 190 12 11:30 11:30 CD cord-273199-xmq502gm 190 13 London London NNP cord-273199-xmq502gm 190 14 time time NN cord-273199-xmq502gm 190 15 . . . cord-273199-xmq502gm 191 1 We -PRON- PRP cord-273199-xmq502gm 191 2 take take VBP cord-273199-xmq502gm 191 3 x x NN cord-273199-xmq502gm 191 4 = = SYM cord-273199-xmq502gm 191 5 days/10 days/10 NNP cord-273199-xmq502gm 191 6 . . . cord-273199-xmq502gm 192 1 The the DT cord-273199-xmq502gm 192 2 USA USA NNP cord-273199-xmq502gm 192 3 data datum NNS cord-273199-xmq502gm 192 4 . . . cord-273199-xmq502gm 193 1 The the DT cord-273199-xmq502gm 193 2 scaling scale VBG cord-273199-xmq502gm 193 3 coefficient coefficient NN cord-273199-xmq502gm 193 4 1.7 1.7 CD cord-273199-xmq502gm 193 5 in in IN cord-273199-xmq502gm 193 6 Figure figure NN cord-273199-xmq502gm 193 7 2 2 CD cord-273199-xmq502gm 193 8 is be VBZ cord-273199-xmq502gm 193 9 adjusted adjust VBN cord-273199-xmq502gm 193 10 to to TO cord-273199-xmq502gm 193 11 match match VB cord-273199-xmq502gm 193 12 the the DT cord-273199-xmq502gm 193 13 real real JJ cord-273199-xmq502gm 193 14 numbers number NNS cord-273199-xmq502gm 193 15 . . . cord-273199-xmq502gm 194 1 For for IN cord-273199-xmq502gm 194 2 the the DT cord-273199-xmq502gm 194 3 USA USA NNP cord-273199-xmq502gm 194 4 , , , cord-273199-xmq502gm 194 5 we -PRON- PRP cord-273199-xmq502gm 194 6 set set VBP cord-273199-xmq502gm 194 7 y y NN cord-273199-xmq502gm 194 8 = = NN cord-273199-xmq502gm 195 1 infections/100 infections/100 NNP cord-273199-xmq502gm 195 2 K K NNP cord-273199-xmq502gm 195 3 , , , cord-273199-xmq502gm 195 4 and and CC cord-273199-xmq502gm 195 5 take take VB cord-273199-xmq502gm 195 6 March March NNP cord-273199-xmq502gm 195 7 17 17 CD cord-273199-xmq502gm 195 8 the the DT cord-273199-xmq502gm 195 9 beginning beginning NN cord-273199-xmq502gm 195 10 of of IN cord-273199-xmq502gm 195 11 the the DT cord-273199-xmq502gm 195 12 period period NN cord-273199-xmq502gm 195 13 of of IN cord-273199-xmq502gm 195 14 " " `` cord-273199-xmq502gm 195 15 significant significant JJ cord-273199-xmq502gm 195 16 growth growth NN cord-273199-xmq502gm 195 17 " " '' cord-273199-xmq502gm 195 18 . . . cord-273199-xmq502gm 196 1 The the DT cord-273199-xmq502gm 196 2 parameters parameter NNS cord-273199-xmq502gm 196 3 are be VBP cord-273199-xmq502gm 196 4 c c NN cord-273199-xmq502gm 196 5 = = SYM cord-273199-xmq502gm 196 6 2.2 2.2 CD cord-273199-xmq502gm 196 7 , , , cord-273199-xmq502gm 196 8 a a DT cord-273199-xmq502gm 196 9 = = SYM cord-273199-xmq502gm 196 10 0.2 0.2 CD cord-273199-xmq502gm 196 11 . . . cord-273199-xmq502gm 197 1 The the DT cord-273199-xmq502gm 197 2 red red JJ cord-273199-xmq502gm 197 3 dots dot NNS cord-273199-xmq502gm 197 4 show show VBP cord-273199-xmq502gm 197 5 the the DT cord-273199-xmq502gm 197 6 corresponding corresponding JJ cord-273199-xmq502gm 197 7 actual actual JJ cord-273199-xmq502gm 197 8 total total JJ cord-273199-xmq502gm 197 9 numbers number NNS cord-273199-xmq502gm 197 10 of of IN cord-273199-xmq502gm 197 11 infections infection NNS cord-273199-xmq502gm 197 12 . . . cord-273199-xmq502gm 198 1 They -PRON- PRP cord-273199-xmq502gm 198 2 perfectly perfectly RB cord-273199-xmq502gm 198 3 match match VBP cord-273199-xmq502gm 198 4 u(t u(t NN cord-273199-xmq502gm 198 5 ) ) -RRB- cord-273199-xmq502gm 198 6 = = NFP cord-273199-xmq502gm 199 1 1.7 1.7 CD cord-273199-xmq502gm 199 2 t t NN cord-273199-xmq502gm 199 3 1.1 1.1 CD cord-273199-xmq502gm 199 4 J J NNP cord-273199-xmq502gm 199 5 0.6 0.6 CD cord-273199-xmq502gm 200 1 ( ( -LRB- cord-273199-xmq502gm 200 2 t t NN cord-273199-xmq502gm 201 1 √ √ NNP cord-273199-xmq502gm 201 2 0.2 0.2 CD cord-273199-xmq502gm 201 3 ) ) -RRB- cord-273199-xmq502gm 201 4 in in IN cord-273199-xmq502gm 201 5 Figure figure NN cord-273199-xmq502gm 201 6 2 2 CD cord-273199-xmq502gm 201 7 , , , cord-273199-xmq502gm 201 8 which which WDT cord-273199-xmq502gm 201 9 results result VBZ cord-273199-xmq502gm 201 10 in in IN cord-273199-xmq502gm 201 11 the the DT cord-273199-xmq502gm 201 12 following following NN cord-273199-xmq502gm 201 13 : : : cord-273199-xmq502gm 201 14 the the DT cord-273199-xmq502gm 201 15 number number NN cord-273199-xmq502gm 201 16 of of IN cord-273199-xmq502gm 201 17 cases case NNS cord-273199-xmq502gm 201 18 in in IN cord-273199-xmq502gm 201 19 the the DT cord-273199-xmq502gm 201 20 USA USA NNP cord-273199-xmq502gm 201 21 can can MD cord-273199-xmq502gm 201 22 be be VB cord-273199-xmq502gm 201 23 expected expect VBN cord-273199-xmq502gm 201 24 to to TO cord-273199-xmq502gm 201 25 reach reach VB cord-273199-xmq502gm 201 26 its -PRON- PRP$ cord-273199-xmq502gm 201 27 preliminary preliminary JJ cord-273199-xmq502gm 201 28 saturation saturation NN cord-273199-xmq502gm 201 29 at at IN cord-273199-xmq502gm 201 30 t t NN cord-273199-xmq502gm 201 31 top top NN cord-273199-xmq502gm 201 32 = = SYM cord-273199-xmq502gm 201 33 4.85 4.85 CD cord-273199-xmq502gm 201 34 ( ( -LRB- cord-273199-xmq502gm 201 35 48.5 48.5 CD cord-273199-xmq502gm 201 36 days day NNS cord-273199-xmq502gm 201 37 . . . cord-273199-xmq502gm 202 1 CC CC NNP cord-273199-xmq502gm 202 2 - - HYPH cord-273199-xmq502gm 202 3 BY BY NNP cord-273199-xmq502gm 202 4 - - HYPH cord-273199-xmq502gm 202 5 NC NC NNP cord-273199-xmq502gm 202 6 - - HYPH cord-273199-xmq502gm 202 7 ND ND NNP cord-273199-xmq502gm 202 8 4.0 4.0 CD cord-273199-xmq502gm 202 9 International international JJ cord-273199-xmq502gm 202 10 license license NN cord-273199-xmq502gm 203 1 It -PRON- PRP cord-273199-xmq502gm 203 2 is be VBZ cord-273199-xmq502gm 203 3 made make VBN cord-273199-xmq502gm 203 4 available available JJ cord-273199-xmq502gm 203 5 under under IN cord-273199-xmq502gm 203 6 a a DT cord-273199-xmq502gm 204 1 is be VBZ cord-273199-xmq502gm 204 2 the the DT cord-273199-xmq502gm 204 3 author author NN cord-273199-xmq502gm 204 4 / / SYM cord-273199-xmq502gm 204 5 funder funder NN cord-273199-xmq502gm 204 6 , , , cord-273199-xmq502gm 204 7 who who WP cord-273199-xmq502gm 204 8 has have VBZ cord-273199-xmq502gm 204 9 granted grant VBN cord-273199-xmq502gm 204 10 medRxiv medRxiv NNS cord-273199-xmq502gm 204 11 a a DT cord-273199-xmq502gm 204 12 license license NN cord-273199-xmq502gm 204 13 to to TO cord-273199-xmq502gm 204 14 display display VB cord-273199-xmq502gm 204 15 the the DT cord-273199-xmq502gm 204 16 preprint preprint NN cord-273199-xmq502gm 204 17 in in IN cord-273199-xmq502gm 204 18 perpetuity perpetuity NN cord-273199-xmq502gm 204 19 . . . cord-273199-xmq502gm 205 1 The the DT cord-273199-xmq502gm 205 2 copyright copyright NN cord-273199-xmq502gm 205 3 holder holder NN cord-273199-xmq502gm 205 4 for for IN cord-273199-xmq502gm 205 5 this this DT cord-273199-xmq502gm 205 6 preprint preprint NN cord-273199-xmq502gm 205 7 this this DT cord-273199-xmq502gm 205 8 version version NN cord-273199-xmq502gm 205 9 posted post VBN cord-273199-xmq502gm 205 10 May May NNP cord-273199-xmq502gm 205 11 2 2 CD cord-273199-xmq502gm 205 12 , , , cord-273199-xmq502gm 205 13 2020 2020 CD cord-273199-xmq502gm 205 14 . . . cord-273199-xmq502gm 205 15 . . . cord-273199-xmq502gm 206 1 https://doi.org/10.1101/2020.04.29.20084483 https://doi.org/10.1101/2020.04.29.20084483 NN cord-273199-xmq502gm 206 2 doi doi NN cord-273199-xmq502gm 206 3 : : : cord-273199-xmq502gm 207 1 medRxiv medRxiv NNS cord-273199-xmq502gm 207 2 preprint preprint NN cord-273199-xmq502gm 207 3 from from IN cord-273199-xmq502gm 207 4 03/17 03/17 CD cord-273199-xmq502gm 207 5 to to IN cord-273199-xmq502gm 207 6 May May NNP cord-273199-xmq502gm 207 7 5 5 CD cord-273199-xmq502gm 207 8 ) ) -RRB- cord-273199-xmq502gm 207 9 with with IN cord-273199-xmq502gm 207 10 u u NNP cord-273199-xmq502gm 207 11 top top NN cord-273199-xmq502gm 207 12 = = NFP cord-273199-xmq502gm 208 1 10.3482 10.3482 CD cord-273199-xmq502gm 208 2 , , , cord-273199-xmq502gm 208 3 i.e. i.e. FW cord-273199-xmq502gm 208 4 with with IN cord-273199-xmq502gm 208 5 1034820 1034820 CD cord-273199-xmq502gm 208 6 infections infection NNS cord-273199-xmq502gm 208 7 ( ( -LRB- cord-273199-xmq502gm 208 8 it -PRON- PRP cord-273199-xmq502gm 208 9 was be VBD cord-273199-xmq502gm 208 10 609516 609516 CD cord-273199-xmq502gm 208 11 at at IN cord-273199-xmq502gm 208 12 04/15 04/15 CD cord-273199-xmq502gm 208 13 ) ) -RRB- cord-273199-xmq502gm 208 14 . . . cord-273199-xmq502gm 209 1 This this DT cord-273199-xmq502gm 209 2 is be VBZ cord-273199-xmq502gm 209 3 of of IN cord-273199-xmq502gm 209 4 course course NN cord-273199-xmq502gm 209 5 a a DT cord-273199-xmq502gm 209 6 projection projection NN cord-273199-xmq502gm 209 7 : : : cord-273199-xmq502gm 209 8 about about IN cord-273199-xmq502gm 209 9 1 1 CD cord-273199-xmq502gm 209 10 M m CD cord-273199-xmq502gm 209 11 of of IN cord-273199-xmq502gm 209 12 total total JJ cord-273199-xmq502gm 209 13 cases case NNS cord-273199-xmq502gm 209 14 at at IN cord-273199-xmq502gm 209 15 the the DT cord-273199-xmq502gm 209 16 saturation saturation NN cord-273199-xmq502gm 209 17 point point NN cord-273199-xmq502gm 209 18 t t XX cord-273199-xmq502gm 209 19 top top NN cord-273199-xmq502gm 209 20 near near IN cord-273199-xmq502gm 209 21 May May NNP cord-273199-xmq502gm 209 22 5 5 CD cord-273199-xmq502gm 209 23 . . . cord-273199-xmq502gm 210 1 The the DT cord-273199-xmq502gm 210 2 black black JJ cord-273199-xmq502gm 210 3 dots dot NNS cord-273199-xmq502gm 210 4 show show VBP cord-273199-xmq502gm 210 5 the the DT cord-273199-xmq502gm 210 6 test test NN cord-273199-xmq502gm 210 7 period period NN cord-273199-xmq502gm 210 8 , , , cord-273199-xmq502gm 210 9 till till IN cord-273199-xmq502gm 210 10 April April NNP cord-273199-xmq502gm 210 11 29 29 CD cord-273199-xmq502gm 210 12 . . . cord-273199-xmq502gm 211 1 The the DT cord-273199-xmq502gm 211 2 predictions prediction NNS cord-273199-xmq502gm 211 3 are be VBP cord-273199-xmq502gm 211 4 of of IN cord-273199-xmq502gm 211 5 course course NN cord-273199-xmq502gm 211 6 based base VBN cord-273199-xmq502gm 211 7 on on IN cord-273199-xmq502gm 211 8 the the DT cord-273199-xmq502gm 211 9 assumption assumption NN cord-273199-xmq502gm 211 10 that that IN cord-273199-xmq502gm 211 11 the the DT cord-273199-xmq502gm 211 12 intensity intensity NN cord-273199-xmq502gm 211 13 of of IN cord-273199-xmq502gm 211 14 hard hard JJ cord-273199-xmq502gm 211 15 measures measure NNS cord-273199-xmq502gm 211 16 continues continue VBZ cord-273199-xmq502gm 211 17 to to TO cord-273199-xmq502gm 211 18 be be VB cord-273199-xmq502gm 211 19 proportional proportional JJ cord-273199-xmq502gm 211 20 to to IN cord-273199-xmq502gm 211 21 the the DT cord-273199-xmq502gm 211 22 total total JJ cord-273199-xmq502gm 211 23 number number NN cord-273199-xmq502gm 211 24 of of IN cord-273199-xmq502gm 211 25 detected detect VBN cord-273199-xmq502gm 211 26 infections infection NNS cord-273199-xmq502gm 211 27 to to IN cord-273199-xmq502gm 211 28 date date NN cord-273199-xmq502gm 211 29 , , , cord-273199-xmq502gm 211 30 as as IN cord-273199-xmq502gm 211 31 it -PRON- PRP cord-273199-xmq502gm 211 32 was be VBD cord-273199-xmq502gm 211 33 clearly clearly RB cord-273199-xmq502gm 211 34 the the DT cord-273199-xmq502gm 211 35 case case NN cord-273199-xmq502gm 211 36 for for IN cord-273199-xmq502gm 211 37 the the DT cord-273199-xmq502gm 211 38 red red JJ cord-273199-xmq502gm 211 39 dots dot NNS cord-273199-xmq502gm 211 40 . . . cord-273199-xmq502gm 212 1 The the DT cord-273199-xmq502gm 212 2 jumps jump NNS cord-273199-xmq502gm 212 3 like like IN cord-273199-xmq502gm 212 4 the the DT cord-273199-xmq502gm 212 5 one one CD cord-273199-xmq502gm 212 6 at at IN cord-273199-xmq502gm 212 7 about about IN cord-273199-xmq502gm 213 1 x x LS cord-273199-xmq502gm 213 2 = = NFP cord-273199-xmq502gm 214 1 4.1 4.1 CD cord-273199-xmq502gm 214 2 can can MD cord-273199-xmq502gm 214 3 be be VB cord-273199-xmq502gm 214 4 because because IN cord-273199-xmq502gm 214 5 of of IN cord-273199-xmq502gm 214 6 various various JJ cord-273199-xmq502gm 214 7 reasons reason NNS cord-273199-xmq502gm 214 8 impossible impossible JJ cord-273199-xmq502gm 214 9 to to TO cord-273199-xmq502gm 214 10 forecast forecast VB cord-273199-xmq502gm 214 11 , , , cord-273199-xmq502gm 214 12 as as RB cord-273199-xmq502gm 214 13 well well RB cord-273199-xmq502gm 214 14 as as IN cord-273199-xmq502gm 214 15 some some DT cord-273199-xmq502gm 214 16 period period NN cord-273199-xmq502gm 214 17 of of IN cord-273199-xmq502gm 214 18 linear linear JJ cord-273199-xmq502gm 214 19 growth growth NN cord-273199-xmq502gm 214 20 after after IN cord-273199-xmq502gm 214 21 it -PRON- PRP cord-273199-xmq502gm 214 22 . . . cord-273199-xmq502gm 215 1 However however RB cord-273199-xmq502gm 215 2 the the DT cord-273199-xmq502gm 215 3 general general JJ cord-273199-xmq502gm 215 4 trend trend NN cord-273199-xmq502gm 215 5 for for IN cord-273199-xmq502gm 215 6 black black JJ cord-273199-xmq502gm 215 7 dots dot NNS cord-273199-xmq502gm 215 8 matches match VBZ cord-273199-xmq502gm 215 9 our -PRON- PRP$ cord-273199-xmq502gm 215 10 u(t u(t NN cord-273199-xmq502gm 215 11 ) ) -RRB- cord-273199-xmq502gm 216 1 well well UH cord-273199-xmq502gm 216 2 enough enough RB cord-273199-xmq502gm 216 3 . . . cord-273199-xmq502gm 217 1 Obviously obviously RB cord-273199-xmq502gm 217 2 t t NN cord-273199-xmq502gm 217 3 = = SYM cord-273199-xmq502gm 217 4 t t NN cord-273199-xmq502gm 217 5 top top NN cord-273199-xmq502gm 217 6 can can MD cord-273199-xmq502gm 217 7 not not RB cord-273199-xmq502gm 217 8 be be VB cord-273199-xmq502gm 217 9 the the DT cord-273199-xmq502gm 217 10 end end NN cord-273199-xmq502gm 217 11 of of IN cord-273199-xmq502gm 217 12 the the DT cord-273199-xmq502gm 217 13 epidemic epidemic NN cord-273199-xmq502gm 217 14 . . . cord-273199-xmq502gm 218 1 The the DT cord-273199-xmq502gm 218 2 data datum NNS cord-273199-xmq502gm 218 3 from from IN cord-273199-xmq502gm 218 4 South South NNP cord-273199-xmq502gm 218 5 Korea Korea NNP cord-273199-xmq502gm 218 6 and and CC cord-273199-xmq502gm 218 7 those those DT cord-273199-xmq502gm 218 8 from from IN cord-273199-xmq502gm 218 9 other other JJ cord-273199-xmq502gm 218 10 countries country NNS cord-273199-xmq502gm 218 11 that that WDT cord-273199-xmq502gm 218 12 went go VBD cord-273199-xmq502gm 218 13 through through IN cord-273199-xmq502gm 218 14 the the DT cord-273199-xmq502gm 218 15 " " `` cord-273199-xmq502gm 218 16 saturation saturation NN cord-273199-xmq502gm 218 17 " " '' cord-273199-xmq502gm 218 18 , , , cord-273199-xmq502gm 218 19 demonstrate demonstrate VBP cord-273199-xmq502gm 218 20 that that IN cord-273199-xmq502gm 218 21 a a DT cord-273199-xmq502gm 218 22 linear linear JJ cord-273199-xmq502gm 218 23 growth growth NN cord-273199-xmq502gm 218 24 of of IN cord-273199-xmq502gm 218 25 the the DT cord-273199-xmq502gm 218 26 total total JJ cord-273199-xmq502gm 218 27 number number NN cord-273199-xmq502gm 218 28 of of IN cord-273199-xmq502gm 218 29 cases case NNS cord-273199-xmq502gm 218 30 can can MD cord-273199-xmq502gm 218 31 be be VB cord-273199-xmq502gm 218 32 expected expect VBN cord-273199-xmq502gm 218 33 around around RB cord-273199-xmq502gm 218 34 and and CC cord-273199-xmq502gm 218 35 after after IN cord-273199-xmq502gm 218 36 t t NNP cord-273199-xmq502gm 218 37 top top NN cord-273199-xmq502gm 218 38 , , , cord-273199-xmq502gm 218 39 with with IN cord-273199-xmq502gm 218 40 periodic periodic JJ cord-273199-xmq502gm 218 41 fluctuations fluctuation NNS cord-273199-xmq502gm 218 42 . . . cord-273199-xmq502gm 219 1 The the DT cord-273199-xmq502gm 219 2 obvious obvious JJ cord-273199-xmq502gm 219 3 reasons reason NNS cord-273199-xmq502gm 219 4 are be VBP cord-273199-xmq502gm 219 5 ( ( -LRB- cord-273199-xmq502gm 219 6 a a LS cord-273199-xmq502gm 219 7 ) ) -RRB- cord-273199-xmq502gm 219 8 reducing reduce VBG cord-273199-xmq502gm 219 9 the the DT cord-273199-xmq502gm 219 10 " " `` cord-273199-xmq502gm 219 11 hard hard JJ cord-273199-xmq502gm 219 12 " " '' cord-273199-xmq502gm 219 13 and and CC cord-273199-xmq502gm 219 14 " " `` cord-273199-xmq502gm 219 15 soft soft JJ cord-273199-xmq502gm 219 16 " " '' cord-273199-xmq502gm 219 17 measures measure NNS cord-273199-xmq502gm 219 18 , , , cord-273199-xmq502gm 219 19 ( ( -LRB- cord-273199-xmq502gm 219 20 b b LS cord-273199-xmq502gm 219 21 ) ) -RRB- cord-273199-xmq502gm 219 22 no no DT cord-273199-xmq502gm 219 23 country country NN cord-273199-xmq502gm 219 24 is be VBZ cord-273199-xmq502gm 219 25 isolated isolate VBN cord-273199-xmq502gm 219 26 from from IN cord-273199-xmq502gm 219 27 infections infection NNS cord-273199-xmq502gm 219 28 from from IN cord-273199-xmq502gm 219 29 other other JJ cord-273199-xmq502gm 219 30 places place NNS cord-273199-xmq502gm 219 31 , , , cord-273199-xmq502gm 219 32 ( ( -LRB- cord-273199-xmq502gm 219 33 c c NN cord-273199-xmq502gm 219 34 ) ) -RRB- cord-273199-xmq502gm 219 35 continued continue VBN cord-273199-xmq502gm 219 36 testing testing NN cord-273199-xmq502gm 219 37 can can MD cord-273199-xmq502gm 219 38 result result VB cord-273199-xmq502gm 219 39 in in IN cord-273199-xmq502gm 219 40 finding find VBG cord-273199-xmq502gm 219 41 more more RBR cord-273199-xmq502gm 219 42 asymptomatic asymptomatic JJ cord-273199-xmq502gm 219 43 cases case NNS cord-273199-xmq502gm 219 44 , , , cord-273199-xmq502gm 219 45 ( ( -LRB- cord-273199-xmq502gm 219 46 d d LS cord-273199-xmq502gm 219 47 ) ) -RRB- cord-273199-xmq502gm 219 48 new new JJ cord-273199-xmq502gm 219 49 clusters cluster NNS cord-273199-xmq502gm 219 50 of of IN cord-273199-xmq502gm 219 51 disease disease NN cord-273199-xmq502gm 219 52 are be VBP cord-273199-xmq502gm 219 53 always always RB cord-273199-xmq502gm 219 54 possible possible JJ cord-273199-xmq502gm 219 55 . . . cord-273199-xmq502gm 220 1 Anyway anyway RB cord-273199-xmq502gm 220 2 , , , cord-273199-xmq502gm 220 3 fluctuations fluctuation NNS cord-273199-xmq502gm 220 4 closer close RBR cord-273199-xmq502gm 220 5 to to IN cord-273199-xmq502gm 220 6 the the DT cord-273199-xmq502gm 220 7 " " `` cord-273199-xmq502gm 220 8 saturation saturation NN cord-273199-xmq502gm 220 9 " " '' cord-273199-xmq502gm 220 10 and and CC cord-273199-xmq502gm 220 11 after after IN cord-273199-xmq502gm 220 12 it -PRON- PRP cord-273199-xmq502gm 220 13 are be VBP cord-273199-xmq502gm 220 14 quite quite RB cord-273199-xmq502gm 220 15 likely likely JJ cord-273199-xmq502gm 220 16 . . . cord-273199-xmq502gm 221 1 Resuming resume VBG cord-273199-xmq502gm 221 2 the the DT cord-273199-xmq502gm 221 3 corresponding correspond VBG cord-273199-xmq502gm 221 4 measures measure NNS cord-273199-xmq502gm 221 5 is be VBZ cord-273199-xmq502gm 221 6 possible possible JJ cord-273199-xmq502gm 221 7 , , , cord-273199-xmq502gm 221 8 but but CC cord-273199-xmq502gm 221 9 this this DT cord-273199-xmq502gm 221 10 is be VBZ cord-273199-xmq502gm 221 11 not not RB cord-273199-xmq502gm 221 12 always always RB cord-273199-xmq502gm 221 13 the the DT cord-273199-xmq502gm 221 14 case case NN cord-273199-xmq502gm 221 15 . . . cord-273199-xmq502gm 222 1 Our -PRON- PRP$ cord-273199-xmq502gm 222 2 formula formula NN cord-273199-xmq502gm 222 3 is be VBZ cord-273199-xmq502gm 222 4 just just RB cord-273199-xmq502gm 222 5 a a DT cord-273199-xmq502gm 222 6 forecasting forecasting NN cord-273199-xmq502gm 222 7 tool tool NN cord-273199-xmq502gm 222 8 , , , cord-273199-xmq502gm 222 9 which which WDT cord-273199-xmq502gm 222 10 is be VBZ cord-273199-xmq502gm 222 11 mostly mostly RB cord-273199-xmq502gm 222 12 applicable applicable JJ cord-273199-xmq502gm 222 13 to to IN cord-273199-xmq502gm 222 14 the the DT cord-273199-xmq502gm 222 15 period period NN cord-273199-xmq502gm 222 16 when when WRB cord-273199-xmq502gm 222 17 the the DT cord-273199-xmq502gm 222 18 protection protection NN cord-273199-xmq502gm 222 19 measures measure NNS cord-273199-xmq502gm 222 20 , , , cord-273199-xmq502gm 222 21 especially especially RB cord-273199-xmq502gm 222 22 " " `` cord-273199-xmq502gm 222 23 hard hard JJ cord-273199-xmq502gm 222 24 " " '' cord-273199-xmq502gm 222 25 ones one NNS cord-273199-xmq502gm 222 26 , , , cord-273199-xmq502gm 222 27 are be VBP cord-273199-xmq502gm 222 28 applied apply VBN cord-273199-xmq502gm 222 29 in in IN cord-273199-xmq502gm 222 30 a a DT cord-273199-xmq502gm 222 31 regular regular JJ cord-273199-xmq502gm 222 32 manner manner NN cord-273199-xmq502gm 222 33 . . . cord-273199-xmq502gm 223 1 Then then RB cord-273199-xmq502gm 223 2 the the DT cord-273199-xmq502gm 223 3 match match NN cord-273199-xmq502gm 223 4 with with IN cord-273199-xmq502gm 223 5 the the DT cord-273199-xmq502gm 223 6 real real JJ cord-273199-xmq502gm 223 7 data data NN cord-273199-xmq502gm 223 8 is be VBZ cord-273199-xmq502gm 223 9 good good JJ cord-273199-xmq502gm 223 10 . . . cord-273199-xmq502gm 224 1 Covid-19 Covid-19 NNP cord-273199-xmq502gm 224 2 in in IN cord-273199-xmq502gm 224 3 UK UK NNP cord-273199-xmq502gm 224 4 . . . cord-273199-xmq502gm 225 1 One one CD cord-273199-xmq502gm 225 2 of of IN cord-273199-xmq502gm 225 3 the the DT cord-273199-xmq502gm 225 4 reasons reason NNS cord-273199-xmq502gm 225 5 of of IN cord-273199-xmq502gm 225 6 the the DT cord-273199-xmq502gm 225 7 strong strong JJ cord-273199-xmq502gm 225 8 match match NN cord-273199-xmq502gm 225 9 of of IN cord-273199-xmq502gm 225 10 red red JJ cord-273199-xmq502gm 225 11 dots dot NNS cord-273199-xmq502gm 225 12 and and CC cord-273199-xmq502gm 225 13 our -PRON- PRP$ cord-273199-xmq502gm 225 14 u(t u(t NN cord-273199-xmq502gm 225 15 ) ) -RRB- cord-273199-xmq502gm 225 16 can can MD cord-273199-xmq502gm 225 17 be be VB cord-273199-xmq502gm 225 18 that that IN cord-273199-xmq502gm 225 19 the the DT cord-273199-xmq502gm 225 20 USA USA NNP cord-273199-xmq502gm 225 21 consists consist VBZ cord-273199-xmq502gm 225 22 of of IN cord-273199-xmq502gm 225 23 50 50 CD cord-273199-xmq502gm 225 24 states state NNS cord-273199-xmq502gm 225 25 , , , cord-273199-xmq502gm 225 26 and and CC cord-273199-xmq502gm 225 27 therefore therefore RB cord-273199-xmq502gm 225 28 the the DT cord-273199-xmq502gm 225 29 total total JJ cord-273199-xmq502gm 225 30 number number NN cord-273199-xmq502gm 225 31 of of IN cord-273199-xmq502gm 225 32 infections infection NNS cord-273199-xmq502gm 225 33 is be VBZ cord-273199-xmq502gm 225 34 quite quite PDT cord-273199-xmq502gm 225 35 an an DT cord-273199-xmq502gm 225 36 average average NN cord-273199-xmq502gm 225 37 . . . cord-273199-xmq502gm 226 1 However however RB cord-273199-xmq502gm 226 2 this this DT cord-273199-xmq502gm 226 3 is be VBZ cord-273199-xmq502gm 226 4 . . . cord-273199-xmq502gm 227 1 CC CC NNP cord-273199-xmq502gm 227 2 - - HYPH cord-273199-xmq502gm 227 3 BY BY NNP cord-273199-xmq502gm 227 4 - - HYPH cord-273199-xmq502gm 227 5 NC NC NNP cord-273199-xmq502gm 227 6 - - HYPH cord-273199-xmq502gm 227 7 ND ND NNP cord-273199-xmq502gm 227 8 4.0 4.0 CD cord-273199-xmq502gm 227 9 International international JJ cord-273199-xmq502gm 227 10 license license NN cord-273199-xmq502gm 227 11 It -PRON- PRP cord-273199-xmq502gm 227 12 is be VBZ cord-273199-xmq502gm 227 13 made make VBN cord-273199-xmq502gm 227 14 available available JJ cord-273199-xmq502gm 227 15 under under IN cord-273199-xmq502gm 227 16 a a DT cord-273199-xmq502gm 228 1 is be VBZ cord-273199-xmq502gm 228 2 the the DT cord-273199-xmq502gm 228 3 author author NN cord-273199-xmq502gm 228 4 / / SYM cord-273199-xmq502gm 228 5 funder funder NN cord-273199-xmq502gm 228 6 , , , cord-273199-xmq502gm 228 7 who who WP cord-273199-xmq502gm 228 8 has have VBZ cord-273199-xmq502gm 228 9 granted grant VBN cord-273199-xmq502gm 228 10 medRxiv medRxiv NNS cord-273199-xmq502gm 228 11 a a DT cord-273199-xmq502gm 228 12 license license NN cord-273199-xmq502gm 228 13 to to TO cord-273199-xmq502gm 228 14 display display VB cord-273199-xmq502gm 228 15 the the DT cord-273199-xmq502gm 228 16 preprint preprint NN cord-273199-xmq502gm 228 17 in in IN cord-273199-xmq502gm 228 18 perpetuity perpetuity NN cord-273199-xmq502gm 228 19 . . . cord-273199-xmq502gm 229 1 The the DT cord-273199-xmq502gm 229 2 copyright copyright NN cord-273199-xmq502gm 229 3 holder holder NN cord-273199-xmq502gm 229 4 for for IN cord-273199-xmq502gm 229 5 this this DT cord-273199-xmq502gm 229 6 preprint preprint NN cord-273199-xmq502gm 229 7 this this DT cord-273199-xmq502gm 229 8 version version NN cord-273199-xmq502gm 229 9 posted post VBN cord-273199-xmq502gm 229 10 May May NNP cord-273199-xmq502gm 229 11 2 2 CD cord-273199-xmq502gm 229 12 , , , cord-273199-xmq502gm 229 13 2020 2020 CD cord-273199-xmq502gm 229 14 . . . cord-273199-xmq502gm 229 15 . . . cord-273199-xmq502gm 230 1 https://doi.org/10.1101/2020.04.29.20084483 https://doi.org/10.1101/2020.04.29.20084483 NN cord-273199-xmq502gm 230 2 doi doi NN cord-273199-xmq502gm 230 3 : : : cord-273199-xmq502gm 231 1 medRxiv medRxiv NNS cord-273199-xmq502gm 231 2 preprint preprint VBP cord-273199-xmq502gm 231 3 no no DT cord-273199-xmq502gm 231 4 worse bad JJR cord-273199-xmq502gm 231 5 for for IN cord-273199-xmq502gm 231 6 UK UK NNP cord-273199-xmq502gm 231 7 . . . cord-273199-xmq502gm 232 1 The the DT cord-273199-xmq502gm 232 2 data datum NNS cord-273199-xmq502gm 232 3 will will MD cord-273199-xmq502gm 232 4 be be VB cord-273199-xmq502gm 232 5 from from IN cord-273199-xmq502gm 232 6 03/16 03/16 CD cord-273199-xmq502gm 232 7 till till IN cord-273199-xmq502gm 232 8 04/15 04/15 CD cord-273199-xmq502gm 232 9 ; ; : cord-273199-xmq502gm 232 10 add add VB cord-273199-xmq502gm 232 11 18 18 CD cord-273199-xmq502gm 232 12 to to IN cord-273199-xmq502gm 232 13 our -PRON- PRP$ cord-273199-xmq502gm 232 14 " " `` cord-273199-xmq502gm 232 15 red red JJ cord-273199-xmq502gm 232 16 dots dot NNS cord-273199-xmq502gm 232 17 " " '' cord-273199-xmq502gm 232 18 , , , cord-273199-xmq502gm 232 19 the the DT cord-273199-xmq502gm 232 20 initial initial JJ cord-273199-xmq502gm 232 21 number number NN cord-273199-xmq502gm 232 22 at at IN cord-273199-xmq502gm 232 23 03/16 03/16 CD cord-273199-xmq502gm 232 24 , , , cord-273199-xmq502gm 232 25 to to TO cord-273199-xmq502gm 232 26 match match VB cord-273199-xmq502gm 232 27 the the DT cord-273199-xmq502gm 232 28 actual actual JJ cord-273199-xmq502gm 232 29 total total JJ cord-273199-xmq502gm 232 30 numbers number NNS cord-273199-xmq502gm 232 31 . . . cord-273199-xmq502gm 233 1 The the DT cord-273199-xmq502gm 233 2 black black JJ cord-273199-xmq502gm 233 3 dots dot NNS cord-273199-xmq502gm 233 4 constitute constitute VBP cord-273199-xmq502gm 233 5 the the DT cord-273199-xmq502gm 233 6 control control NN cord-273199-xmq502gm 233 7 period period NN cord-273199-xmq502gm 233 8 : : : cord-273199-xmq502gm 233 9 04/16 04/16 CD cord-273199-xmq502gm 233 10 - - SYM cord-273199-xmq502gm 233 11 04/29 04/29 CD cord-273199-xmq502gm 233 12 . . . cord-273199-xmq502gm 234 1 Now now RB cord-273199-xmq502gm 234 2 c c NN cord-273199-xmq502gm 234 3 = = SYM cord-273199-xmq502gm 234 4 2.4 2.4 CD cord-273199-xmq502gm 234 5 , , , cord-273199-xmq502gm 234 6 a a DT cord-273199-xmq502gm 234 7 = = SYM cord-273199-xmq502gm 234 8 0.2 0.2 CD cord-273199-xmq502gm 234 9 work work NN cord-273199-xmq502gm 234 10 fine fine RB cord-273199-xmq502gm 234 11 , , , cord-273199-xmq502gm 234 12 and and CC cord-273199-xmq502gm 234 13 the the DT cord-273199-xmq502gm 234 14 scaling scale VBG cord-273199-xmq502gm 234 15 coefficient coefficient NN cord-273199-xmq502gm 234 16 is be VBZ cord-273199-xmq502gm 234 17 2.2 2.2 CD cord-273199-xmq502gm 234 18 . . . cord-273199-xmq502gm 235 1 The the DT cord-273199-xmq502gm 235 2 total total JJ cord-273199-xmq502gm 235 3 number number NN cord-273199-xmq502gm 235 4 of of IN cord-273199-xmq502gm 235 5 cases case NNS cord-273199-xmq502gm 235 6 is be VBZ cord-273199-xmq502gm 235 7 divided divide VBN cord-273199-xmq502gm 235 8 by by IN cord-273199-xmq502gm 235 9 10 10 CD cord-273199-xmq502gm 235 10 K k NN cord-273199-xmq502gm 235 11 , , , cord-273199-xmq502gm 235 12 not not RB cord-273199-xmq502gm 235 13 by by IN cord-273199-xmq502gm 235 14 100 100 CD cord-273199-xmq502gm 235 15 K K NNP cord-273199-xmq502gm 235 16 as as IN cord-273199-xmq502gm 235 17 for for IN cord-273199-xmq502gm 235 18 the the DT cord-273199-xmq502gm 235 19 USA USA NNP cord-273199-xmq502gm 235 20 . . . cord-273199-xmq502gm 236 1 The the DT cord-273199-xmq502gm 236 2 expectation expectation NN cord-273199-xmq502gm 236 3 is be VBZ cord-273199-xmq502gm 236 4 now now RB cord-273199-xmq502gm 236 5 as as IN cord-273199-xmq502gm 236 6 follows follow VBZ cord-273199-xmq502gm 236 7 : : : cord-273199-xmq502gm 236 8 the the DT cord-273199-xmq502gm 236 9 " " `` cord-273199-xmq502gm 236 10 saturation saturation NN cord-273199-xmq502gm 236 11 moment moment NN cord-273199-xmq502gm 236 12 " " '' cord-273199-xmq502gm 236 13 can can MD cord-273199-xmq502gm 236 14 be be VB cord-273199-xmq502gm 236 15 5.17 5.17 CD cord-273199-xmq502gm 236 16 , , , cord-273199-xmq502gm 236 17 i.e i.e XX cord-273199-xmq502gm 236 18 about about RB cord-273199-xmq502gm 236 19 51 51 CD cord-273199-xmq502gm 236 20 days day NNS cord-273199-xmq502gm 236 21 after after IN cord-273199-xmq502gm 236 22 March March NNP cord-273199-xmq502gm 236 23 16 16 CD cord-273199-xmq502gm 236 24 , , , cord-273199-xmq502gm 236 25 somewhere somewhere RB cord-273199-xmq502gm 236 26 around around IN cord-273199-xmq502gm 236 27 May May NNP cord-273199-xmq502gm 236 28 6 6 CD cord-273199-xmq502gm 236 29 . . . cord-273199-xmq502gm 237 1 The the DT cord-273199-xmq502gm 237 2 estimate estimate NN cord-273199-xmq502gm 237 3 for for IN cord-273199-xmq502gm 237 4 corresponding correspond VBG cord-273199-xmq502gm 237 5 number number NN cord-273199-xmq502gm 237 6 of of IN cord-273199-xmq502gm 237 7 infections infection NNS cord-273199-xmq502gm 237 8 is be VBZ cord-273199-xmq502gm 237 9 about about RB cord-273199-xmq502gm 237 10 170000 170000 CD cord-273199-xmq502gm 237 11 , , , cord-273199-xmq502gm 237 12 with with IN cord-273199-xmq502gm 237 13 all all DT cord-273199-xmq502gm 237 14 ifs if NNS cord-273199-xmq502gm 237 15 . . . cord-273199-xmq502gm 238 1 This this DT cord-273199-xmq502gm 238 2 is be VBZ cord-273199-xmq502gm 238 3 assuming assume VBG cord-273199-xmq502gm 238 4 that that IN cord-273199-xmq502gm 238 5 the the DT cord-273199-xmq502gm 238 6 " " `` cord-273199-xmq502gm 238 7 hard hard JJ cord-273199-xmq502gm 238 8 " " '' cord-273199-xmq502gm 238 9 measures measure NNS cord-273199-xmq502gm 238 10 will will MD cord-273199-xmq502gm 238 11 be be VB cord-273199-xmq502gm 238 12 employed employ VBN cord-273199-xmq502gm 238 13 at at IN cord-273199-xmq502gm 238 14 the the DT cord-273199-xmq502gm 238 15 same same JJ cord-273199-xmq502gm 238 16 pace pace NN cord-273199-xmq502gm 238 17 as as IN cord-273199-xmq502gm 238 18 before before IN cord-273199-xmq502gm 238 19 April April NNP cord-273199-xmq502gm 238 20 15 15 CD cord-273199-xmq502gm 238 21 . . . cord-273199-xmq502gm 239 1 The the DT cord-273199-xmq502gm 239 2 black black JJ cord-273199-xmq502gm 239 3 dots dot NNS cord-273199-xmq502gm 239 4 confirm confirm VBP cord-273199-xmq502gm 239 5 the the DT cord-273199-xmq502gm 239 6 trend trend NN cord-273199-xmq502gm 239 7 . . . cord-273199-xmq502gm 240 1 Sweden Sweden NNP cord-273199-xmq502gm 240 2 03/07 03/07 CD cord-273199-xmq502gm 240 3 - - SYM cord-273199-xmq502gm 240 4 04/23 04/23 CD cord-273199-xmq502gm 240 5 . . . cord-273199-xmq502gm 241 1 This this DT cord-273199-xmq502gm 241 2 is be VBZ cord-273199-xmq502gm 241 3 an an DT cord-273199-xmq502gm 241 4 example example NN cord-273199-xmq502gm 241 5 of of IN cord-273199-xmq502gm 241 6 the the DT cord-273199-xmq502gm 241 7 country country NN cord-273199-xmq502gm 241 8 that that WDT cord-273199-xmq502gm 241 9 remains remain VBZ cord-273199-xmq502gm 241 10 essentially essentially RB cord-273199-xmq502gm 241 11 " " `` cord-273199-xmq502gm 241 12 open open JJ cord-273199-xmq502gm 241 13 " " '' cord-273199-xmq502gm 241 14 . . . cord-273199-xmq502gm 242 1 Actually actually RB cord-273199-xmq502gm 242 2 , , , cord-273199-xmq502gm 242 3 they -PRON- PRP cord-273199-xmq502gm 242 4 actively actively RB cord-273199-xmq502gm 242 5 do do VBP cord-273199-xmq502gm 242 6 testing testing NN cord-273199-xmq502gm 242 7 followed follow VBN cord-273199-xmq502gm 242 8 by by IN cord-273199-xmq502gm 242 9 the the DT cord-273199-xmq502gm 242 10 isolation isolation NN cord-273199-xmq502gm 242 11 of of IN cord-273199-xmq502gm 242 12 infected infected JJ cord-273199-xmq502gm 242 13 people people NNS cord-273199-xmq502gm 242 14 , , , cord-273199-xmq502gm 242 15 the the DT cord-273199-xmq502gm 242 16 key key JJ cord-273199-xmq502gm 242 17 " " `` cord-273199-xmq502gm 242 18 hard hard JJ cord-273199-xmq502gm 242 19 " " '' cord-273199-xmq502gm 242 20 measure measure NN cord-273199-xmq502gm 242 21 from from IN cord-273199-xmq502gm 242 22 our -PRON- PRP$ cord-273199-xmq502gm 242 23 perspective perspective NN cord-273199-xmq502gm 242 24 . . . cord-273199-xmq502gm 243 1 Also also RB cord-273199-xmq502gm 243 2 , , , cord-273199-xmq502gm 243 3 the the DT cord-273199-xmq502gm 243 4 strength strength NN cord-273199-xmq502gm 243 5 of of IN cord-273199-xmq502gm 243 6 the the DT cord-273199-xmq502gm 243 7 health health NN cord-273199-xmq502gm 243 8 - - HYPH cord-273199-xmq502gm 243 9 care care NN cord-273199-xmq502gm 243 10 in in IN cord-273199-xmq502gm 243 11 this this DT cord-273199-xmq502gm 243 12 country country NN cord-273199-xmq502gm 243 13 must must MD cord-273199-xmq502gm 243 14 be be VB cord-273199-xmq502gm 243 15 taken take VBN cord-273199-xmq502gm 243 16 into into IN cord-273199-xmq502gm 243 17 consideration consideration NN cord-273199-xmq502gm 243 18 , , , cord-273199-xmq502gm 243 19 and and CC cord-273199-xmq502gm 243 20 that that IN cord-273199-xmq502gm 243 21 it -PRON- PRP cord-273199-xmq502gm 243 22 is be VBZ cord-273199-xmq502gm 243 23 surrounded surround VBN cord-273199-xmq502gm 243 24 by by IN cord-273199-xmq502gm 243 25 the the DT cord-273199-xmq502gm 243 26 countries country NNS cord-273199-xmq502gm 243 27 that that WDT cord-273199-xmq502gm 243 28 fight fight VBP cord-273199-xmq502gm 243 29 Covid-17 Covid-17 NNP cord-273199-xmq502gm 243 30 aggressively aggressively RB cord-273199-xmq502gm 243 31 . . . cord-273199-xmq502gm 244 1 The the DT cord-273199-xmq502gm 244 2 growth growth NN cord-273199-xmq502gm 244 3 of of IN cord-273199-xmq502gm 244 4 the the DT cord-273199-xmq502gm 244 5 total total JJ cord-273199-xmq502gm 244 6 number number NN cord-273199-xmq502gm 244 7 of of IN cord-273199-xmq502gm 244 8 cases case NNS cord-273199-xmq502gm 244 9 was be VBD cord-273199-xmq502gm 244 10 essentially essentially RB cord-273199-xmq502gm 244 11 quadratic quadratic JJ cord-273199-xmq502gm 244 12 for for IN cord-273199-xmq502gm 244 13 a a DT cord-273199-xmq502gm 244 14 relatively relatively RB cord-273199-xmq502gm 244 15 long long JJ cord-273199-xmq502gm 244 16 period period NN cord-273199-xmq502gm 244 17 , , , cord-273199-xmq502gm 244 18 which which WDT cord-273199-xmq502gm 244 19 is be VBZ cord-273199-xmq502gm 244 20 what what WP cord-273199-xmq502gm 244 21 " " `` cord-273199-xmq502gm 244 22 power power NN cord-273199-xmq502gm 244 23 law law NN cord-273199-xmq502gm 244 24 " " '' cord-273199-xmq502gm 244 25 states state NNS cord-273199-xmq502gm 244 26 for for IN cord-273199-xmq502gm 244 27 the the DT cord-273199-xmq502gm 244 28 epidemics epidemic NNS cord-273199-xmq502gm 244 29 with with IN cord-273199-xmq502gm 244 30 minimal minimal JJ cord-273199-xmq502gm 244 31 " " `` cord-273199-xmq502gm 244 32 intervention intervention NN cord-273199-xmq502gm 244 33 " " '' cord-273199-xmq502gm 244 34 . . . cord-273199-xmq502gm 245 1 By by IN cord-273199-xmq502gm 245 2 now now RB cord-273199-xmq502gm 245 3 , , , cord-273199-xmq502gm 245 4 the the DT cord-273199-xmq502gm 245 5 growth growth NN cord-273199-xmq502gm 245 6 is be VBZ cord-273199-xmq502gm 245 7 linear linear JJ cord-273199-xmq502gm 245 8 , , , cord-273199-xmq502gm 245 9 which which WDT cord-273199-xmq502gm 245 10 means mean VBZ cord-273199-xmq502gm 245 11 that that IN cord-273199-xmq502gm 245 12 what what WP cord-273199-xmq502gm 245 13 the the DT cord-273199-xmq502gm 245 14 measures measure NNS cord-273199-xmq502gm 245 15 they -PRON- PRP cord-273199-xmq502gm 245 16 use use VBP cord-273199-xmq502gm 245 17 appeared appear VBD cord-273199-xmq502gm 245 18 working work VBG cord-273199-xmq502gm 245 19 . . . cord-273199-xmq502gm 246 1 Interestingly interestingly RB cord-273199-xmq502gm 246 2 , , , cord-273199-xmq502gm 246 3 our -PRON- PRP$ cord-273199-xmq502gm 246 4 u u NN cord-273199-xmq502gm 246 5 - - HYPH cord-273199-xmq502gm 246 6 formula formula NN cord-273199-xmq502gm 246 7 is be VBZ cord-273199-xmq502gm 246 8 applicable applicable JJ cord-273199-xmq502gm 246 9 , , , cord-273199-xmq502gm 246 10 but but CC cord-273199-xmq502gm 246 11 for for IN cord-273199-xmq502gm 246 12 record record NN cord-273199-xmq502gm 246 13 law law NN cord-273199-xmq502gm 246 14 a a NN cord-273199-xmq502gm 246 15 = = SYM cord-273199-xmq502gm 246 16 0.1 0.1 CD cord-273199-xmq502gm 246 17 ; ; : cord-273199-xmq502gm 246 18 it -PRON- PRP cord-273199-xmq502gm 246 19 is be VBZ cord-273199-xmq502gm 246 20 a a DT cord-273199-xmq502gm 246 21 = = SYM cord-273199-xmq502gm 246 22 0.15 0.15 CD cord-273199-xmq502gm 246 23 for for IN cord-273199-xmq502gm 246 24 " " `` cord-273199-xmq502gm 246 25 the the DT cord-273199-xmq502gm 246 26 world world NN cord-273199-xmq502gm 246 27 " " '' cord-273199-xmq502gm 246 28 . . . cord-273199-xmq502gm 247 1 Here here RB cord-273199-xmq502gm 247 2 y y NNP cord-273199-xmq502gm 247 3 is be VBZ cord-273199-xmq502gm 247 4 the the DT cord-273199-xmq502gm 247 5 total total JJ cord-273199-xmq502gm 247 6 number number NN cord-273199-xmq502gm 247 7 of of IN cord-273199-xmq502gm 247 8 cases case NNS cord-273199-xmq502gm 247 9 divided divide VBN cord-273199-xmq502gm 247 10 by by IN cord-273199-xmq502gm 247 11 1000 1000 CD cord-273199-xmq502gm 247 12 and and CC cord-273199-xmq502gm 247 13 add add VB cord-273199-xmq502gm 247 14 137 137 CD cord-273199-xmq502gm 247 15 , , , cord-273199-xmq502gm 247 16 the the DT cord-273199-xmq502gm 247 17 initial initial JJ cord-273199-xmq502gm 247 18 value value NN cord-273199-xmq502gm 247 19 , , , cord-273199-xmq502gm 247 20 to to IN cord-273199-xmq502gm 247 21 our -PRON- PRP$ cord-273199-xmq502gm 247 22 " " `` cord-273199-xmq502gm 247 23 dots dot NNS cord-273199-xmq502gm 247 24 " " '' cord-273199-xmq502gm 247 25 . . . cord-273199-xmq502gm 248 1 The the DT cord-273199-xmq502gm 248 2 projected project VBN cord-273199-xmq502gm 248 3 saturation saturation NN cord-273199-xmq502gm 248 4 is be VBZ cord-273199-xmq502gm 248 5 around around IN cord-273199-xmq502gm 248 6 May May NNP cord-273199-xmq502gm 248 7 17 17 CD cord-273199-xmq502gm 248 8 . . . cord-273199-xmq502gm 249 1 As as IN cord-273199-xmq502gm 249 2 always always RB cord-273199-xmq502gm 249 3 , , , cord-273199-xmq502gm 249 4 it -PRON- PRP cord-273199-xmq502gm 249 5 is be VBZ cord-273199-xmq502gm 249 6 with with IN cord-273199-xmq502gm 249 7 a a DT cord-273199-xmq502gm 249 8 reservation reservation NN cord-273199-xmq502gm 249 9 about about IN cord-273199-xmq502gm 249 10 their -PRON- PRP$ cord-273199-xmq502gm 249 11 future future JJ cord-273199-xmq502gm 249 12 policies policy NNS cord-273199-xmq502gm 249 13 , , , cord-273199-xmq502gm 249 14 which which WDT cord-273199-xmq502gm 249 15 seem seem VBP cord-273199-xmq502gm 249 16 sufficiently sufficiently RB cord-273199-xmq502gm 249 17 stable stable JJ cord-273199-xmq502gm 249 18 by by IN cord-273199-xmq502gm 249 19 now now RB cord-273199-xmq502gm 249 20 . . . cord-273199-xmq502gm 250 1 In in IN cord-273199-xmq502gm 250 2 spite spite NN cord-273199-xmq502gm 250 3 of of IN cord-273199-xmq502gm 250 4 their -PRON- PRP$ cord-273199-xmq502gm 250 5 " " `` cord-273199-xmq502gm 250 6 soft soft JJ cord-273199-xmq502gm 250 7 " " '' cord-273199-xmq502gm 250 8 approach approach NN cord-273199-xmq502gm 250 9 , , , cord-273199-xmq502gm 250 10 our -PRON- PRP$ cord-273199-xmq502gm 250 11 u u NN cord-273199-xmq502gm 250 12 - - HYPH cord-273199-xmq502gm 250 13 formula formula NN cord-273199-xmq502gm 250 14 obviously obviously RB cord-273199-xmq502gm 250 15 can can MD cord-273199-xmq502gm 250 16 be be VB cord-273199-xmq502gm 250 17 used use VBN cord-273199-xmq502gm 250 18 ; ; : cord-273199-xmq502gm 250 19 see see VB cord-273199-xmq502gm 250 20 Figure figure NN cord-273199-xmq502gm 250 21 4 4 CD cord-273199-xmq502gm 250 22 . . . cord-273199-xmq502gm 250 23 . . . cord-273199-xmq502gm 251 1 CC CC NNP cord-273199-xmq502gm 251 2 - - HYPH cord-273199-xmq502gm 251 3 BY BY NNP cord-273199-xmq502gm 251 4 - - HYPH cord-273199-xmq502gm 251 5 NC NC NNP cord-273199-xmq502gm 251 6 - - HYPH cord-273199-xmq502gm 251 7 ND ND NNP cord-273199-xmq502gm 251 8 4.0 4.0 CD cord-273199-xmq502gm 251 9 International international JJ cord-273199-xmq502gm 251 10 license license NN cord-273199-xmq502gm 252 1 It -PRON- PRP cord-273199-xmq502gm 252 2 is be VBZ cord-273199-xmq502gm 252 3 made make VBN cord-273199-xmq502gm 252 4 available available JJ cord-273199-xmq502gm 252 5 under under IN cord-273199-xmq502gm 252 6 a a DT cord-273199-xmq502gm 253 1 is be VBZ cord-273199-xmq502gm 253 2 the the DT cord-273199-xmq502gm 253 3 author author NN cord-273199-xmq502gm 253 4 / / SYM cord-273199-xmq502gm 253 5 funder funder NN cord-273199-xmq502gm 253 6 , , , cord-273199-xmq502gm 253 7 who who WP cord-273199-xmq502gm 253 8 has have VBZ cord-273199-xmq502gm 253 9 granted grant VBN cord-273199-xmq502gm 253 10 medRxiv medRxiv NNS cord-273199-xmq502gm 253 11 a a DT cord-273199-xmq502gm 253 12 license license NN cord-273199-xmq502gm 253 13 to to TO cord-273199-xmq502gm 253 14 display display VB cord-273199-xmq502gm 253 15 the the DT cord-273199-xmq502gm 253 16 preprint preprint NN cord-273199-xmq502gm 253 17 in in IN cord-273199-xmq502gm 253 18 perpetuity perpetuity NN cord-273199-xmq502gm 253 19 . . . cord-273199-xmq502gm 254 1 The the DT cord-273199-xmq502gm 254 2 copyright copyright NN cord-273199-xmq502gm 254 3 holder holder NN cord-273199-xmq502gm 254 4 for for IN cord-273199-xmq502gm 254 5 this this DT cord-273199-xmq502gm 254 6 preprint preprint NN cord-273199-xmq502gm 254 7 this this DT cord-273199-xmq502gm 254 8 version version NN cord-273199-xmq502gm 254 9 posted post VBN cord-273199-xmq502gm 254 10 May May NNP cord-273199-xmq502gm 254 11 2 2 CD cord-273199-xmq502gm 254 12 , , , cord-273199-xmq502gm 254 13 2020 2020 CD cord-273199-xmq502gm 254 14 . . . cord-273199-xmq502gm 255 1 Israel Israel NNP cord-273199-xmq502gm 255 2 : : : cord-273199-xmq502gm 255 3 " " `` cord-273199-xmq502gm 255 4 saturation saturation NN cord-273199-xmq502gm 255 5 " " '' cord-273199-xmq502gm 255 6 . . . cord-273199-xmq502gm 256 1 The the DT cord-273199-xmq502gm 256 2 last last JJ cord-273199-xmq502gm 256 3 example example NN cord-273199-xmq502gm 256 4 we -PRON- PRP cord-273199-xmq502gm 256 5 provide provide VBP cord-273199-xmq502gm 256 6 is be VBZ cord-273199-xmq502gm 256 7 what what WP cord-273199-xmq502gm 256 8 can can MD cord-273199-xmq502gm 256 9 be be VB cord-273199-xmq502gm 256 10 expected expect VBN cord-273199-xmq502gm 256 11 when when WRB cord-273199-xmq502gm 256 12 the the DT cord-273199-xmq502gm 256 13 country country NN cord-273199-xmq502gm 256 14 went go VBD cord-273199-xmq502gm 256 15 through through IN cord-273199-xmq502gm 256 16 the the DT cord-273199-xmq502gm 256 17 " " `` cord-273199-xmq502gm 256 18 saturation saturation NN cord-273199-xmq502gm 256 19 " " '' cord-273199-xmq502gm 256 20 . . . cord-273199-xmq502gm 257 1 Israeli israeli JJ cord-273199-xmq502gm 257 2 population population NN cord-273199-xmq502gm 257 3 is be VBZ cord-273199-xmq502gm 257 4 diverse diverse JJ cord-273199-xmq502gm 257 5 , , , cord-273199-xmq502gm 257 6 which which WDT cord-273199-xmq502gm 257 7 has have VBZ cord-273199-xmq502gm 257 8 a a DT cord-273199-xmq502gm 257 9 potential potential NN cord-273199-xmq502gm 257 10 of of IN cord-273199-xmq502gm 257 11 significant significant JJ cord-273199-xmq502gm 257 12 fluctuations fluctuation NNS cord-273199-xmq502gm 257 13 of of IN cord-273199-xmq502gm 257 14 the the DT cord-273199-xmq502gm 257 15 number number NN cord-273199-xmq502gm 257 16 of of IN cord-273199-xmq502gm 257 17 cases case NNS cord-273199-xmq502gm 257 18 and and CC cord-273199-xmq502gm 257 19 various various JJ cord-273199-xmq502gm 257 20 clusters cluster NNS cord-273199-xmq502gm 257 21 of of IN cord-273199-xmq502gm 257 22 infection infection NN cord-273199-xmq502gm 257 23 . . . cord-273199-xmq502gm 258 1 However however RB cord-273199-xmq502gm 258 2 its -PRON- PRP$ cord-273199-xmq502gm 258 3 solid solid JJ cord-273199-xmq502gm 258 4 response response NN cord-273199-xmq502gm 258 5 to to TO cord-273199-xmq502gm 258 6 Covid-19 covid-19 VB cord-273199-xmq502gm 258 7 and and CC cord-273199-xmq502gm 258 8 good good JJ cord-273199-xmq502gm 258 9 overall overall JJ cord-273199-xmq502gm 258 10 health health NN cord-273199-xmq502gm 258 11 - - HYPH cord-273199-xmq502gm 258 12 system system NN cord-273199-xmq502gm 258 13 , , , cord-273199-xmq502gm 258 14 made make VBD cord-273199-xmq502gm 258 15 the the DT cord-273199-xmq502gm 258 16 growth growth NN cord-273199-xmq502gm 258 17 of of IN cord-273199-xmq502gm 258 18 the the DT cord-273199-xmq502gm 258 19 spread spread NN cord-273199-xmq502gm 258 20 sufficiently sufficiently RB cord-273199-xmq502gm 258 21 predictable predictable JJ cord-273199-xmq502gm 258 22 . . . cord-273199-xmq502gm 259 1 Generally generally RB cord-273199-xmq502gm 259 2 , , , cord-273199-xmq502gm 259 3 for for IN cord-273199-xmq502gm 259 4 small small JJ cord-273199-xmq502gm 259 5 countries country NNS cord-273199-xmq502gm 259 6 the the DT cord-273199-xmq502gm 259 7 fluctuations fluctuation NNS cord-273199-xmq502gm 259 8 can can MD cord-273199-xmq502gm 259 9 be be VB cord-273199-xmq502gm 259 10 expected expect VBN cord-273199-xmq502gm 259 11 higher high JJR cord-273199-xmq502gm 259 12 than than IN cord-273199-xmq502gm 259 13 for for IN cord-273199-xmq502gm 259 14 countries country NNS cord-273199-xmq502gm 259 15 like like IN cord-273199-xmq502gm 259 16 the the DT cord-273199-xmq502gm 259 17 USA USA NNP cord-273199-xmq502gm 259 18 , , , cord-273199-xmq502gm 259 19 UK UK NNP cord-273199-xmq502gm 259 20 , , , cord-273199-xmq502gm 259 21 though though IN cord-273199-xmq502gm 259 22 it -PRON- PRP cord-273199-xmq502gm 259 23 depends depend VBZ cord-273199-xmq502gm 259 24 on on IN cord-273199-xmq502gm 259 25 how how WRB cord-273199-xmq502gm 259 26 " " `` cord-273199-xmq502gm 259 27 homogeneous homogeneous JJ cord-273199-xmq502gm 259 28 " " '' cord-273199-xmq502gm 259 29 they -PRON- PRP cord-273199-xmq502gm 259 30 are be VBP cord-273199-xmq502gm 259 31 . . . cord-273199-xmq502gm 260 1 We -PRON- PRP cord-273199-xmq502gm 260 2 divide divide VBP cord-273199-xmq502gm 260 3 the the DT cord-273199-xmq502gm 260 4 total total JJ cord-273199-xmq502gm 260 5 number number NN cord-273199-xmq502gm 260 6 of of IN cord-273199-xmq502gm 260 7 cases case NNS cord-273199-xmq502gm 260 8 by by IN cord-273199-xmq502gm 260 9 1000 1000 CD cord-273199-xmq502gm 260 10 , , , cord-273199-xmq502gm 260 11 as as IN cord-273199-xmq502gm 260 12 for for IN cord-273199-xmq502gm 260 13 Sweden Sweden NNP cord-273199-xmq502gm 260 14 ; ; : cord-273199-xmq502gm 260 15 see see VB cord-273199-xmq502gm 260 16 Figure figure NN cord-273199-xmq502gm 260 17 5 5 CD cord-273199-xmq502gm 260 18 . . . cord-273199-xmq502gm 261 1 The the DT cord-273199-xmq502gm 261 2 red red JJ cord-273199-xmq502gm 261 3 dots dot NNS cord-273199-xmq502gm 261 4 began begin VBD cord-273199-xmq502gm 261 5 March March NNP cord-273199-xmq502gm 261 6 13 13 CD cord-273199-xmq502gm 261 7 , , , cord-273199-xmq502gm 261 8 when when WRB cord-273199-xmq502gm 261 9 the the DT cord-273199-xmq502gm 261 10 total total JJ cord-273199-xmq502gm 261 11 number number NN cord-273199-xmq502gm 261 12 of of IN cord-273199-xmq502gm 261 13 detected detect VBN cord-273199-xmq502gm 261 14 infections infection NNS cord-273199-xmq502gm 261 15 was be VBD cord-273199-xmq502gm 261 16 96 96 CD cord-273199-xmq502gm 261 17 , , , cord-273199-xmq502gm 261 18 and and CC cord-273199-xmq502gm 261 19 stopped stop VBD cord-273199-xmq502gm 261 20 April April NNP cord-273199-xmq502gm 261 21 17 17 CD cord-273199-xmq502gm 261 22 ; ; : cord-273199-xmq502gm 261 23 the the DT cord-273199-xmq502gm 261 24 remaining remain VBG cord-273199-xmq502gm 261 25 period period NN cord-273199-xmq502gm 261 26 till till IN cord-273199-xmq502gm 261 27 April April NNP cord-273199-xmq502gm 261 28 29 29 CD cord-273199-xmq502gm 261 29 , , , cord-273199-xmq502gm 261 30 shown show VBN cord-273199-xmq502gm 261 31 by by IN cord-273199-xmq502gm 261 32 the the DT cord-273199-xmq502gm 261 33 black black JJ cord-273199-xmq502gm 261 34 dots dot NNS cord-273199-xmq502gm 261 35 , , , cord-273199-xmq502gm 261 36 was be VBD cord-273199-xmq502gm 261 37 the the DT cord-273199-xmq502gm 261 38 " " `` cord-273199-xmq502gm 261 39 control control NN cord-273199-xmq502gm 261 40 one one CD cord-273199-xmq502gm 261 41 " " '' cord-273199-xmq502gm 261 42 . . . cord-273199-xmq502gm 262 1 The the DT cord-273199-xmq502gm 262 2 saturation saturation NN cord-273199-xmq502gm 262 3 forecast forecast NN cord-273199-xmq502gm 262 4 went go VBD cord-273199-xmq502gm 262 5 through through IN cord-273199-xmq502gm 262 6 almost almost RB cord-273199-xmq502gm 262 7 perfectly perfectly RB cord-273199-xmq502gm 262 8 , , , cord-273199-xmq502gm 262 9 but but CC cord-273199-xmq502gm 262 10 there there EX cord-273199-xmq502gm 262 11 were be VBD cord-273199-xmq502gm 262 12 significant significant JJ cord-273199-xmq502gm 262 13 fluctuations fluctuation NNS cord-273199-xmq502gm 262 14 in in IN cord-273199-xmq502gm 262 15 process process NN cord-273199-xmq502gm 262 16 . . . cord-273199-xmq502gm 263 1 After after IN cord-273199-xmq502gm 263 2 April April NNP cord-273199-xmq502gm 263 3 26 26 CD cord-273199-xmq502gm 263 4 , , , cord-273199-xmq502gm 263 5 the the DT cord-273199-xmq502gm 263 6 predicted predict VBN cord-273199-xmq502gm 263 7 moment moment NN cord-273199-xmq502gm 263 8 of of IN cord-273199-xmq502gm 263 9 the the DT cord-273199-xmq502gm 263 10 saturation saturation NN cord-273199-xmq502gm 263 11 , , , cord-273199-xmq502gm 263 12 the the DT cord-273199-xmq502gm 263 13 growth growth NN cord-273199-xmq502gm 263 14 of of IN cord-273199-xmq502gm 263 15 the the DT cord-273199-xmq502gm 263 16 total total JJ cord-273199-xmq502gm 263 17 number number NN cord-273199-xmq502gm 263 18 of of IN cord-273199-xmq502gm 263 19 ( ( -LRB- cord-273199-xmq502gm 263 20 known know VBN cord-273199-xmq502gm 263 21 ) ) -RRB- cord-273199-xmq502gm 263 22 infections infection NNS cord-273199-xmq502gm 263 23 is be VBZ cord-273199-xmq502gm 263 24 supposed suppose VBN cord-273199-xmq502gm 263 25 to to TO cord-273199-xmq502gm 263 26 be be VB cord-273199-xmq502gm 263 27 mild mild JJ cord-273199-xmq502gm 263 28 linear linear JJ cord-273199-xmq502gm 263 29 . . . cord-273199-xmq502gm 264 1 The the DT cord-273199-xmq502gm 264 2 parameters parameter NNS cord-273199-xmq502gm 264 3 are be VBP cord-273199-xmq502gm 264 4 : : : cord-273199-xmq502gm 264 5 a a DT cord-273199-xmq502gm 264 6 = = SYM cord-273199-xmq502gm 264 7 0.3 0.3 CD cord-273199-xmq502gm 264 8 , , , cord-273199-xmq502gm 264 9 i.e. i.e. FW cord-273199-xmq502gm 264 10 the the DT cord-273199-xmq502gm 264 11 intensity intensity NN cord-273199-xmq502gm 264 12 of of IN cord-273199-xmq502gm 264 13 hard hard JJ cord-273199-xmq502gm 264 14 measures measure NNS cord-273199-xmq502gm 264 15 is be VBZ cord-273199-xmq502gm 264 16 better well JJR cord-273199-xmq502gm 264 17 than than IN cord-273199-xmq502gm 264 18 with with IN cord-273199-xmq502gm 264 19 the the DT cord-273199-xmq502gm 264 20 USA USA NNP cord-273199-xmq502gm 264 21 , , , cord-273199-xmq502gm 264 22 UK UK NNP cord-273199-xmq502gm 264 23 , , , cord-273199-xmq502gm 264 24 and and CC cord-273199-xmq502gm 264 25 c c NN cord-273199-xmq502gm 264 26 = = SYM cord-273199-xmq502gm 264 27 2.6 2.6 CD cord-273199-xmq502gm 264 28 . . . cord-273199-xmq502gm 265 1 The the DT cord-273199-xmq502gm 265 2 latter latter JJ cord-273199-xmq502gm 265 3 means mean VBZ cord-273199-xmq502gm 265 4 that that IN cord-273199-xmq502gm 265 5 the the DT cord-273199-xmq502gm 265 6 initial initial JJ cord-273199-xmq502gm 265 7 transmission transmission NN cord-273199-xmq502gm 265 8 coefficient coefficient NN cord-273199-xmq502gm 265 9 was be VBD cord-273199-xmq502gm 265 10 somewhat somewhat RB cord-273199-xmq502gm 265 11 worse bad JJR cord-273199-xmq502gm 265 12 than than IN cord-273199-xmq502gm 265 13 c c NN cord-273199-xmq502gm 265 14 = = SYM cord-273199-xmq502gm 265 15 2.4 2.4 CD cord-273199-xmq502gm 265 16 in in IN cord-273199-xmq502gm 265 17 the the DT cord-273199-xmq502gm 265 18 USA USA NNP cord-273199-xmq502gm 265 19 , , , cord-273199-xmq502gm 265 20 UK UK NNP cord-273199-xmq502gm 265 21 , , , cord-273199-xmq502gm 265 22 possibly possibly RB cord-273199-xmq502gm 265 23 due due IN cord-273199-xmq502gm 265 24 to to IN cord-273199-xmq502gm 265 25 the the DT cord-273199-xmq502gm 265 26 greater great JJR cord-273199-xmq502gm 265 27 number number NN cord-273199-xmq502gm 265 28 of of IN cord-273199-xmq502gm 265 29 " " `` cord-273199-xmq502gm 265 30 normal normal JJ cord-273199-xmq502gm 265 31 " " '' cord-273199-xmq502gm 265 32 contacts contact NNS cord-273199-xmq502gm 265 33 . . . cord-273199-xmq502gm 266 1 Recall recall VB cord-273199-xmq502gm 266 2 that that IN cord-273199-xmq502gm 266 3 a a NN cord-273199-xmq502gm 266 4 , , , cord-273199-xmq502gm 266 5 c c NNP cord-273199-xmq502gm 266 6 are be VBP cord-273199-xmq502gm 266 7 parameters parameter NNS cord-273199-xmq502gm 266 8 of of IN cord-273199-xmq502gm 266 9 our -PRON- PRP$ cord-273199-xmq502gm 266 10 theory theory NN cord-273199-xmq502gm 266 11 , , , cord-273199-xmq502gm 266 12 related relate VBN cord-273199-xmq502gm 266 13 to to IN cord-273199-xmq502gm 266 14 but but CC cord-273199-xmq502gm 266 15 not not RB cord-273199-xmq502gm 266 16 immediately immediately RB cord-273199-xmq502gm 266 17 connected connect VBN cord-273199-xmq502gm 266 18 with with IN cord-273199-xmq502gm 266 19 the the DT cord-273199-xmq502gm 266 20 real real JJ cord-273199-xmq502gm 266 21 factors factor NNS cord-273199-xmq502gm 266 22 . . . cord-273199-xmq502gm 267 1 Some some DT cord-273199-xmq502gm 267 2 discussion discussion NN cord-273199-xmq502gm 267 3 . . . cord-273199-xmq502gm 268 1 Recall recall VB cord-273199-xmq502gm 268 2 that that IN cord-273199-xmq502gm 268 3 we -PRON- PRP cord-273199-xmq502gm 268 4 consider consider VBP cord-273199-xmq502gm 268 5 only only RB cord-273199-xmq502gm 268 6 " " `` cord-273199-xmq502gm 268 7 total total JJ cord-273199-xmq502gm 268 8 cases case NNS cord-273199-xmq502gm 268 9 " " '' cord-273199-xmq502gm 268 10 , , , cord-273199-xmq502gm 268 11 the the DT cord-273199-xmq502gm 268 12 numbers number NNS cord-273199-xmq502gm 268 13 of of IN cord-273199-xmq502gm 268 14 all all DT cord-273199-xmq502gm 268 15 detected detect VBN cord-273199-xmq502gm 268 16 infections infection NNS cord-273199-xmq502gm 268 17 , , , cord-273199-xmq502gm 268 18 and and CC cord-273199-xmq502gm 268 19 begin begin VB cord-273199-xmq502gm 268 20 at at IN cord-273199-xmq502gm 268 21 the the DT cord-273199-xmq502gm 268 22 moment moment NN cord-273199-xmq502gm 268 23 when when WRB cord-273199-xmq502gm 268 24 the the DT cord-273199-xmq502gm 268 25 " " `` cord-273199-xmq502gm 268 26 significant significant JJ cord-273199-xmq502gm 268 27 " " '' cord-273199-xmq502gm 268 28 growth growth NN cord-273199-xmq502gm 268 29 begins begin VBZ cord-273199-xmq502gm 268 30 , , , cord-273199-xmq502gm 268 31 which which WDT cord-273199-xmq502gm 268 32 is be VBZ cord-273199-xmq502gm 268 33 also also RB cord-273199-xmq502gm 268 34 essentially essentially RB cord-273199-xmq502gm 268 35 when when WRB cord-273199-xmq502gm 268 36 the the DT cord-273199-xmq502gm 268 37 active active JJ cord-273199-xmq502gm 268 38 measures measure NNS cord-273199-xmq502gm 268 39 start start VBP cord-273199-xmq502gm 268 40 . . . cord-273199-xmq502gm 269 1 According accord VBG cord-273199-xmq502gm 269 2 to to IN cord-273199-xmq502gm 269 3 our -PRON- PRP$ cord-273199-xmq502gm 269 4 theory theory NN cord-273199-xmq502gm 269 5 , , , cord-273199-xmq502gm 269 6 the the DT cord-273199-xmq502gm 269 7 match match NN cord-273199-xmq502gm 269 8 with with IN cord-273199-xmq502gm 269 9 u(t u(t NNP cord-273199-xmq502gm 269 10 ) ) -RRB- cord-273199-xmq502gm 269 11 above above RB cord-273199-xmq502gm 269 12 can can MD cord-273199-xmq502gm 269 13 be be VB cord-273199-xmq502gm 269 14 expected expect VBN cord-273199-xmq502gm 269 15 in in IN cord-273199-xmq502gm 269 16 some some DT cord-273199-xmq502gm 269 17 interval interval NN cord-273199-xmq502gm 269 18 around around IN cord-273199-xmq502gm 269 19 the the DT cord-273199-xmq502gm 269 20 turning turning NN cord-273199-xmq502gm 269 21 point point NN cord-273199-xmq502gm 269 22 . . . cord-273199-xmq502gm 270 1 However however RB cord-273199-xmq502gm 270 2 . . . cord-273199-xmq502gm 271 1 CC CC NNP cord-273199-xmq502gm 271 2 - - HYPH cord-273199-xmq502gm 271 3 BY BY NNP cord-273199-xmq502gm 271 4 - - HYPH cord-273199-xmq502gm 271 5 NC NC NNP cord-273199-xmq502gm 271 6 - - HYPH cord-273199-xmq502gm 271 7 ND ND NNP cord-273199-xmq502gm 271 8 4.0 4.0 CD cord-273199-xmq502gm 271 9 International international JJ cord-273199-xmq502gm 271 10 license license NN cord-273199-xmq502gm 272 1 It -PRON- PRP cord-273199-xmq502gm 272 2 is be VBZ cord-273199-xmq502gm 272 3 made make VBN cord-273199-xmq502gm 272 4 available available JJ cord-273199-xmq502gm 272 5 under under IN cord-273199-xmq502gm 272 6 a a DT cord-273199-xmq502gm 273 1 is be VBZ cord-273199-xmq502gm 273 2 the the DT cord-273199-xmq502gm 273 3 author author NN cord-273199-xmq502gm 273 4 / / SYM cord-273199-xmq502gm 273 5 funder funder NN cord-273199-xmq502gm 273 6 , , , cord-273199-xmq502gm 273 7 who who WP cord-273199-xmq502gm 273 8 has have VBZ cord-273199-xmq502gm 273 9 granted grant VBN cord-273199-xmq502gm 273 10 medRxiv medRxiv NNS cord-273199-xmq502gm 273 11 a a DT cord-273199-xmq502gm 273 12 license license NN cord-273199-xmq502gm 273 13 to to TO cord-273199-xmq502gm 273 14 display display VB cord-273199-xmq502gm 273 15 the the DT cord-273199-xmq502gm 273 16 preprint preprint NN cord-273199-xmq502gm 273 17 in in IN cord-273199-xmq502gm 273 18 perpetuity perpetuity NN cord-273199-xmq502gm 273 19 . . . cord-273199-xmq502gm 274 1 The the DT cord-273199-xmq502gm 274 2 copyright copyright NN cord-273199-xmq502gm 274 3 holder holder NN cord-273199-xmq502gm 274 4 for for IN cord-273199-xmq502gm 274 5 this this DT cord-273199-xmq502gm 274 6 preprint preprint NN cord-273199-xmq502gm 274 7 this this DT cord-273199-xmq502gm 274 8 version version NN cord-273199-xmq502gm 274 9 posted post VBN cord-273199-xmq502gm 274 10 May May NNP cord-273199-xmq502gm 274 11 2 2 CD cord-273199-xmq502gm 274 12 , , , cord-273199-xmq502gm 274 13 2020 2020 CD cord-273199-xmq502gm 274 14 . . . cord-273199-xmq502gm 275 1 practically practically RB cord-273199-xmq502gm 275 2 it -PRON- PRP cord-273199-xmq502gm 275 3 holds hold VBZ cord-273199-xmq502gm 275 4 better well JJR cord-273199-xmq502gm 275 5 than than IN cord-273199-xmq502gm 275 6 this this DT cord-273199-xmq502gm 275 7 : : : cord-273199-xmq502gm 275 8 an an DT cord-273199-xmq502gm 275 9 almost almost RB cord-273199-xmq502gm 275 10 perfect perfect JJ cord-273199-xmq502gm 275 11 match match NN cord-273199-xmq502gm 275 12 is be VBZ cord-273199-xmq502gm 275 13 for for IN cord-273199-xmq502gm 275 14 about about RB cord-273199-xmq502gm 275 15 80 80 CD cord-273199-xmq502gm 275 16 % % NN cord-273199-xmq502gm 275 17 of of IN cord-273199-xmq502gm 275 18 the the DT cord-273199-xmq502gm 275 19 whole whole JJ cord-273199-xmq502gm 275 20 periods period NNS cord-273199-xmq502gm 275 21 of of IN cord-273199-xmq502gm 275 22 intensive intensive JJ cord-273199-xmq502gm 275 23 growth growth NN cord-273199-xmq502gm 275 24 . . . cord-273199-xmq502gm 276 1 Our -PRON- PRP$ cord-273199-xmq502gm 276 2 restriction restriction NN cord-273199-xmq502gm 276 3 to to IN cord-273199-xmq502gm 276 4 the the DT cord-273199-xmq502gm 276 5 period period NN cord-273199-xmq502gm 276 6 till till IN cord-273199-xmq502gm 276 7 April April NNP cord-273199-xmq502gm 276 8 15 15 CD cord-273199-xmq502gm 276 9 , , , cord-273199-xmq502gm 276 10 2020 2020 CD cord-273199-xmq502gm 276 11 with with IN cord-273199-xmq502gm 276 12 fixing fix VBG cord-273199-xmq502gm 276 13 the the DT cord-273199-xmq502gm 276 14 parameters parameter NNS cord-273199-xmq502gm 276 15 a a NN cord-273199-xmq502gm 276 16 , , , cord-273199-xmq502gm 276 17 c c NNP cord-273199-xmq502gm 276 18 , , , cord-273199-xmq502gm 276 19 except except IN cord-273199-xmq502gm 276 20 for for IN cord-273199-xmq502gm 276 21 Sweden Sweden NNP cord-273199-xmq502gm 276 22 , , , cord-273199-xmq502gm 276 23 is be VBZ cord-273199-xmq502gm 276 24 not not RB cord-273199-xmq502gm 276 25 accidental accidental JJ cord-273199-xmq502gm 276 26 . . . cord-273199-xmq502gm 277 1 It -PRON- PRP cord-273199-xmq502gm 277 2 was be VBD cord-273199-xmq502gm 277 3 sufficient sufficient JJ cord-273199-xmq502gm 277 4 for for IN cord-273199-xmq502gm 277 5 the the DT cord-273199-xmq502gm 277 6 practical practical JJ cord-273199-xmq502gm 277 7 confirmations confirmation NNS cord-273199-xmq502gm 277 8 of of IN cord-273199-xmq502gm 277 9 the the DT cord-273199-xmq502gm 277 10 theory theory NN cord-273199-xmq502gm 277 11 presented present VBN cord-273199-xmq502gm 277 12 in in IN cord-273199-xmq502gm 277 13 Figures figure NNS cord-273199-xmq502gm 277 14 2,3 2,3 CD cord-273199-xmq502gm 277 15 , , , cord-273199-xmq502gm 277 16 and and CC cord-273199-xmq502gm 277 17 with with IN cord-273199-xmq502gm 277 18 other other JJ cord-273199-xmq502gm 277 19 countries country NNS cord-273199-xmq502gm 277 20 . . . cord-273199-xmq502gm 278 1 The the DT cord-273199-xmq502gm 278 2 latest late JJS cord-273199-xmq502gm 278 3 data datum NNS cord-273199-xmq502gm 278 4 , , , cord-273199-xmq502gm 278 5 the the DT cord-273199-xmq502gm 278 6 black black JJ cord-273199-xmq502gm 278 7 dots dot NNS cord-273199-xmq502gm 278 8 , , , cord-273199-xmq502gm 278 9 provide provide VB cord-273199-xmq502gm 278 10 the the DT cord-273199-xmq502gm 278 11 " " `` cord-273199-xmq502gm 278 12 realtime realtime NN cord-273199-xmq502gm 278 13 checks check NNS cord-273199-xmq502gm 278 14 " " '' cord-273199-xmq502gm 278 15 ; ; : cord-273199-xmq502gm 278 16 they -PRON- PRP cord-273199-xmq502gm 278 17 were be VBD cord-273199-xmq502gm 278 18 obtained obtain VBN cord-273199-xmq502gm 278 19 after after IN cord-273199-xmq502gm 278 20 the the DT cord-273199-xmq502gm 278 21 parameters parameter NNS cord-273199-xmq502gm 278 22 were be VBD cord-273199-xmq502gm 278 23 fixed fix VBN cord-273199-xmq502gm 278 24 . . . cord-273199-xmq502gm 279 1 The the DT cord-273199-xmq502gm 279 2 pandemic pandemic NN cord-273199-xmq502gm 279 3 is be VBZ cord-273199-xmq502gm 279 4 far far RB cord-273199-xmq502gm 279 5 from from IN cord-273199-xmq502gm 279 6 over over RB cord-273199-xmq502gm 279 7 , , , cord-273199-xmq502gm 279 8 but but CC cord-273199-xmq502gm 279 9 within within IN cord-273199-xmq502gm 279 10 the the DT cord-273199-xmq502gm 279 11 scope scope NN cord-273199-xmq502gm 279 12 of of IN cord-273199-xmq502gm 279 13 this this DT cord-273199-xmq502gm 279 14 paper paper NN cord-273199-xmq502gm 279 15 , , , cord-273199-xmq502gm 279 16 the the DT cord-273199-xmq502gm 279 17 data datum NNS cord-273199-xmq502gm 279 18 we -PRON- PRP cord-273199-xmq502gm 279 19 needed need VBD cord-273199-xmq502gm 279 20 for for IN cord-273199-xmq502gm 279 21 the the DT cord-273199-xmq502gm 279 22 " " `` cord-273199-xmq502gm 279 23 forecasting forecasting NN cord-273199-xmq502gm 279 24 tool tool NN cord-273199-xmq502gm 279 25 " " '' cord-273199-xmq502gm 279 26 were be VBD cord-273199-xmq502gm 279 27 essentially essentially RB cord-273199-xmq502gm 279 28 present present JJ cord-273199-xmq502gm 279 29 by by IN cord-273199-xmq502gm 279 30 04/15 04/15 CD cord-273199-xmq502gm 279 31 . . . cord-273199-xmq502gm 280 1 When when WRB cord-273199-xmq502gm 280 2 the the DT cord-273199-xmq502gm 280 3 epidemic epidemic NN cord-273199-xmq502gm 280 4 approaches approach VBZ cord-273199-xmq502gm 280 5 the the DT cord-273199-xmq502gm 280 6 saturation saturation NN cord-273199-xmq502gm 280 7 , , , cord-273199-xmq502gm 280 8 which which WDT cord-273199-xmq502gm 280 9 is be VBZ cord-273199-xmq502gm 280 10 the the DT cord-273199-xmq502gm 280 11 first first JJ cord-273199-xmq502gm 280 12 maximum maximum NN cord-273199-xmq502gm 280 13 of of IN cord-273199-xmq502gm 280 14 u(t u(t NNP cord-273199-xmq502gm 280 15 ) ) -RRB- cord-273199-xmq502gm 280 16 in in IN cord-273199-xmq502gm 280 17 our -PRON- PRP$ cord-273199-xmq502gm 280 18 model model NN cord-273199-xmq502gm 280 19 , , , cord-273199-xmq502gm 280 20 its -PRON- PRP$ cord-273199-xmq502gm 280 21 management management NN cord-273199-xmq502gm 280 22 can can MD cord-273199-xmq502gm 280 23 be be VB cord-273199-xmq502gm 280 24 expected expect VBN cord-273199-xmq502gm 280 25 to to TO cord-273199-xmq502gm 280 26 evolve evolve VB cord-273199-xmq502gm 280 27 toward toward IN cord-273199-xmq502gm 280 28 reducing reduce VBG cord-273199-xmq502gm 280 29 and and CC cord-273199-xmq502gm 280 30 abandoning abandon VBG cord-273199-xmq502gm 280 31 " " `` cord-273199-xmq502gm 280 32 hard hard JJ cord-273199-xmq502gm 280 33 " " '' cord-273199-xmq502gm 280 34 measure measure NN cord-273199-xmq502gm 280 35 . . . cord-273199-xmq502gm 281 1 This this DT cord-273199-xmq502gm 281 2 can can MD cord-273199-xmq502gm 281 3 result result VB cord-273199-xmq502gm 281 4 in in IN cord-273199-xmq502gm 281 5 a a DT cord-273199-xmq502gm 281 6 growth growth NN cord-273199-xmq502gm 281 7 like like IN cord-273199-xmq502gm 281 8 Ct Ct NNP cord-273199-xmq502gm 281 9 c/2 c/2 NN cord-273199-xmq502gm 281 10 with with IN cord-273199-xmq502gm 281 11 some some DT cord-273199-xmq502gm 281 12 " " `` cord-273199-xmq502gm 281 13 mild mild JJ cord-273199-xmq502gm 281 14 " " '' cord-273199-xmq502gm 281 15 C c NN cord-273199-xmq502gm 281 16 and and CC cord-273199-xmq502gm 281 17 c/2 c/2 NNP cord-273199-xmq502gm 281 18 ≈ ≈ NNP cord-273199-xmq502gm 281 19 1 1 CD cord-273199-xmq502gm 281 20 and and CC cord-273199-xmq502gm 281 21 significant significant JJ cord-273199-xmq502gm 281 22 fluctuations fluctuation NNS cord-273199-xmq502gm 281 23 , , , cord-273199-xmq502gm 281 24 which which WDT cord-273199-xmq502gm 281 25 really really RB cord-273199-xmq502gm 281 26 happens happen VBZ cord-273199-xmq502gm 281 27 . . . cord-273199-xmq502gm 282 1 Such such JJ cord-273199-xmq502gm 282 2 growth growth NN cord-273199-xmq502gm 282 3 at at IN cord-273199-xmq502gm 282 4 the the DT cord-273199-xmq502gm 282 5 end end NN cord-273199-xmq502gm 282 6 is be VBZ cord-273199-xmq502gm 282 7 generally generally RB cord-273199-xmq502gm 282 8 covered cover VBN cord-273199-xmq502gm 282 9 by by IN cord-273199-xmq502gm 282 10 our -PRON- PRP$ cord-273199-xmq502gm 282 11 theory theory NN cord-273199-xmq502gm 282 12 ; ; : cord-273199-xmq502gm 282 13 it -PRON- PRP cord-273199-xmq502gm 282 14 is be VBZ cord-273199-xmq502gm 282 15 not not RB cord-273199-xmq502gm 282 16 connected connect VBN cord-273199-xmq502gm 282 17 with with IN cord-273199-xmq502gm 282 18 Bessel Bessel NNP cord-273199-xmq502gm 282 19 functions function NNS cord-273199-xmq502gm 282 20 . . . cord-273199-xmq502gm 283 1 The the DT cord-273199-xmq502gm 283 2 superb superb JJ cord-273199-xmq502gm 283 3 match match NN cord-273199-xmq502gm 283 4 of of IN cord-273199-xmq502gm 283 5 our -PRON- PRP$ cord-273199-xmq502gm 283 6 u(t u(t NN cord-273199-xmq502gm 283 7 ) ) -RRB- cord-273199-xmq502gm 283 8 during during IN cord-273199-xmq502gm 283 9 the the DT cord-273199-xmq502gm 283 10 significant significant JJ cord-273199-xmq502gm 283 11 part part NN cord-273199-xmq502gm 283 12 of of IN cord-273199-xmq502gm 283 13 the the DT cord-273199-xmq502gm 283 14 period period NN cord-273199-xmq502gm 283 15 of of IN cord-273199-xmq502gm 283 16 intensive intensive JJ cord-273199-xmq502gm 283 17 growth growth NN cord-273199-xmq502gm 283 18 of of IN cord-273199-xmq502gm 283 19 the the DT cord-273199-xmq502gm 283 20 spread spread NN cord-273199-xmq502gm 283 21 can can MD cord-273199-xmq502gm 283 22 be be VB cord-273199-xmq502gm 283 23 of of IN cord-273199-xmq502gm 283 24 real real JJ cord-273199-xmq502gm 283 25 importance importance NN cord-273199-xmq502gm 283 26 for for IN cord-273199-xmq502gm 283 27 practical practical JJ cord-273199-xmq502gm 283 28 managing managing NN cord-273199-xmq502gm 283 29 epidemics epidemic NNS cord-273199-xmq502gm 283 30 . . . cord-273199-xmq502gm 284 1 On on IN cord-273199-xmq502gm 284 2 the the DT cord-273199-xmq502gm 284 3 basis basis NN cord-273199-xmq502gm 284 4 of of IN cord-273199-xmq502gm 284 5 what what WP cord-273199-xmq502gm 284 6 we -PRON- PRP cord-273199-xmq502gm 284 7 see see VBP cord-273199-xmq502gm 284 8 , , , cord-273199-xmq502gm 284 9 the the DT cord-273199-xmq502gm 284 10 best good JJS cord-273199-xmq502gm 284 11 ways way NNS cord-273199-xmq502gm 284 12 to to TO cord-273199-xmq502gm 284 13 use use VB cord-273199-xmq502gm 284 14 the the DT cord-273199-xmq502gm 284 15 u u NN cord-273199-xmq502gm 284 16 - - HYPH cord-273199-xmq502gm 284 17 curves curve NNS cord-273199-xmq502gm 284 18 seem seem VBP cord-273199-xmq502gm 284 19 as as IN cord-273199-xmq502gm 284 20 follows follow VBZ cord-273199-xmq502gm 284 21 : : : cord-273199-xmq502gm 284 22 ( ( -LRB- cord-273199-xmq502gm 284 23 1 1 LS cord-273199-xmq502gm 284 24 ) ) -RRB- cord-273199-xmq502gm 284 25 : : : cord-273199-xmq502gm 284 26 determine determine VB cord-273199-xmq502gm 284 27 a a DT cord-273199-xmq502gm 284 28 , , , cord-273199-xmq502gm 284 29 c c NN cord-273199-xmq502gm 284 30 using use VBG cord-273199-xmq502gm 284 31 about about IN cord-273199-xmq502gm 284 32 the the DT cord-273199-xmq502gm 284 33 first first JJ cord-273199-xmq502gm 284 34 30 30 CD cord-273199-xmq502gm 284 35 - - SYM cord-273199-xmq502gm 284 36 40 40 CD cord-273199-xmq502gm 284 37 % % NN cord-273199-xmq502gm 284 38 after after IN cord-273199-xmq502gm 284 39 the the DT cord-273199-xmq502gm 284 40 intensive intensive JJ cord-273199-xmq502gm 284 41 growth growth NN cord-273199-xmq502gm 284 42 begin begin VB cord-273199-xmq502gm 284 43 , , , cord-273199-xmq502gm 284 44 ( ( -LRB- cord-273199-xmq502gm 284 45 2 2 LS cord-273199-xmq502gm 284 46 ) ) -RRB- cord-273199-xmq502gm 284 47 : : : cord-273199-xmq502gm 284 48 update update VB cord-273199-xmq502gm 284 49 them -PRON- PRP cord-273199-xmq502gm 284 50 constantly constantly RB cord-273199-xmq502gm 284 51 till till IN cord-273199-xmq502gm 284 52 the the DT cord-273199-xmq502gm 284 53 turning turning NN cord-273199-xmq502gm 284 54 point point NN cord-273199-xmq502gm 284 55 and and CC cord-273199-xmq502gm 284 56 somewhat somewhat RB cord-273199-xmq502gm 284 57 beyond beyond IN cord-273199-xmq502gm 284 58 , , , cord-273199-xmq502gm 284 59 ( ( -LRB- cord-273199-xmq502gm 284 60 3 3 LS cord-273199-xmq502gm 284 61 ) ) -RRB- cord-273199-xmq502gm 284 62 : : : cord-273199-xmq502gm 284 63 try try VB cord-273199-xmq502gm 284 64 to to IN cord-273199-xmq502gm 284 65 the the DT cord-273199-xmq502gm 284 66 adjust adjust VB cord-273199-xmq502gm 284 67 the the DT cord-273199-xmq502gm 284 68 measures measure NNS cord-273199-xmq502gm 284 69 at at IN cord-273199-xmq502gm 284 70 later later JJ cord-273199-xmq502gm 284 71 stages stage NNS cord-273199-xmq502gm 284 72 " " '' cord-273199-xmq502gm 284 73 to to TO cord-273199-xmq502gm 284 74 stay stay VB cord-273199-xmq502gm 284 75 close close RB cord-273199-xmq502gm 284 76 to to IN cord-273199-xmq502gm 284 77 the the DT cord-273199-xmq502gm 284 78 curve curve NN cord-273199-xmq502gm 284 79 " " '' cord-273199-xmq502gm 284 80 . . . cord-273199-xmq502gm 285 1 With with IN cord-273199-xmq502gm 285 2 ( ( -LRB- cord-273199-xmq502gm 285 3 3 3 CD cord-273199-xmq502gm 285 4 ) ) -RRB- cord-273199-xmq502gm 285 5 , , , cord-273199-xmq502gm 285 6 the the DT cord-273199-xmq502gm 285 7 constant constant JJ cord-273199-xmq502gm 285 8 response response NN cord-273199-xmq502gm 285 9 is be VBZ cord-273199-xmq502gm 285 10 needed need VBN cord-273199-xmq502gm 285 11 to to IN cord-273199-xmq502gm 285 12 new new JJ cord-273199-xmq502gm 285 13 clusters cluster NNS cord-273199-xmq502gm 285 14 of of IN cord-273199-xmq502gm 285 15 the the DT cord-273199-xmq502gm 285 16 disease disease NN cord-273199-xmq502gm 285 17 , , , cord-273199-xmq502gm 285 18 some some DT cord-273199-xmq502gm 285 19 jumps jump VBZ cord-273199-xmq502gm 285 20 with with IN cord-273199-xmq502gm 285 21 the the DT cord-273199-xmq502gm 285 22 new new JJ cord-273199-xmq502gm 285 23 cases case NNS cord-273199-xmq502gm 285 24 due due JJ cord-273199-xmq502gm 285 25 to to IN cord-273199-xmq502gm 285 26 the the DT cord-273199-xmq502gm 285 27 reductions reduction NNS cord-273199-xmq502gm 285 28 of of IN cord-273199-xmq502gm 285 29 the the DT cord-273199-xmq502gm 285 30 measures measure NNS cord-273199-xmq502gm 285 31 and and CC cord-273199-xmq502gm 285 32 so so RB cord-273199-xmq502gm 285 33 on on RB cord-273199-xmq502gm 285 34 . . . cord-273199-xmq502gm 286 1 Generally generally RB cord-273199-xmq502gm 286 2 , , , cord-273199-xmq502gm 286 3 our -PRON- PRP$ cord-273199-xmq502gm 286 4 forecasting forecasting NN cord-273199-xmq502gm 286 5 tool tool NN cord-273199-xmq502gm 286 6 can can MD cord-273199-xmq502gm 286 7 serve serve VB cord-273199-xmq502gm 286 8 the the DT cord-273199-xmq502gm 286 9 best good JJS cord-273199-xmq502gm 286 10 if if IN cord-273199-xmq502gm 286 11 the the DT cord-273199-xmq502gm 286 12 data datum NNS cord-273199-xmq502gm 286 13 and and CC cord-273199-xmq502gm 286 14 the the DT cord-273199-xmq502gm 286 15 measures measure NNS cord-273199-xmq502gm 286 16 are be VBP cord-273199-xmq502gm 286 17 as as RB cord-273199-xmq502gm 286 18 uniform uniform JJ cord-273199-xmq502gm 286 19 and and CC cord-273199-xmq502gm 286 20 " " `` cord-273199-xmq502gm 286 21 stable stable JJ cord-273199-xmq502gm 286 22 " " '' cord-273199-xmq502gm 286 23 as as IN cord-273199-xmq502gm 286 24 possible possible JJ cord-273199-xmq502gm 286 25 . . . cord-273199-xmq502gm 287 1 Then then RB cord-273199-xmq502gm 287 2 underreporting underreporte VBG cord-273199-xmq502gm 287 3 , , , cord-273199-xmq502gm 287 4 focusing focus VBG cord-273199-xmq502gm 287 5 on on IN cord-273199-xmq502gm 287 6 symptomatic symptomatic JJ cord-273199-xmq502gm 287 7 cases case NNS cord-273199-xmq502gm 287 8 , , , cord-273199-xmq502gm 287 9 and and CC cord-273199-xmq502gm 287 10 inevitable inevitable JJ cord-273199-xmq502gm 287 11 fluctuations fluctuation NNS cord-273199-xmq502gm 287 12 with with IN cord-273199-xmq502gm 287 13 . . . cord-273199-xmq502gm 288 1 CC CC NNP cord-273199-xmq502gm 288 2 - - HYPH cord-273199-xmq502gm 288 3 BY BY NNP cord-273199-xmq502gm 288 4 - - HYPH cord-273199-xmq502gm 288 5 NC NC NNP cord-273199-xmq502gm 288 6 - - HYPH cord-273199-xmq502gm 288 7 ND ND NNP cord-273199-xmq502gm 288 8 4.0 4.0 CD cord-273199-xmq502gm 288 9 International international JJ cord-273199-xmq502gm 288 10 license license NN cord-273199-xmq502gm 289 1 It -PRON- PRP cord-273199-xmq502gm 289 2 is be VBZ cord-273199-xmq502gm 289 3 made make VBN cord-273199-xmq502gm 289 4 available available JJ cord-273199-xmq502gm 289 5 under under IN cord-273199-xmq502gm 289 6 a a DT cord-273199-xmq502gm 290 1 is be VBZ cord-273199-xmq502gm 290 2 the the DT cord-273199-xmq502gm 290 3 author author NN cord-273199-xmq502gm 290 4 / / SYM cord-273199-xmq502gm 290 5 funder funder NN cord-273199-xmq502gm 290 6 , , , cord-273199-xmq502gm 290 7 who who WP cord-273199-xmq502gm 290 8 has have VBZ cord-273199-xmq502gm 290 9 granted grant VBN cord-273199-xmq502gm 290 10 medRxiv medRxiv NNS cord-273199-xmq502gm 290 11 a a DT cord-273199-xmq502gm 290 12 license license NN cord-273199-xmq502gm 290 13 to to TO cord-273199-xmq502gm 290 14 display display VB cord-273199-xmq502gm 290 15 the the DT cord-273199-xmq502gm 290 16 preprint preprint NN cord-273199-xmq502gm 290 17 in in IN cord-273199-xmq502gm 290 18 perpetuity perpetuity NN cord-273199-xmq502gm 290 19 . . . cord-273199-xmq502gm 291 1 ( ( -LRB- cord-273199-xmq502gm 291 2 which which WDT cord-273199-xmq502gm 291 3 was be VBD cord-273199-xmq502gm 291 4 not not RB cord-273199-xmq502gm 291 5 certified certify VBN cord-273199-xmq502gm 291 6 by by IN cord-273199-xmq502gm 291 7 peer peer NN cord-273199-xmq502gm 291 8 review review NN cord-273199-xmq502gm 291 9 ) ) -RRB- cord-273199-xmq502gm 292 1 The the DT cord-273199-xmq502gm 292 2 copyright copyright NN cord-273199-xmq502gm 292 3 holder holder NN cord-273199-xmq502gm 292 4 for for IN cord-273199-xmq502gm 292 5 this this DT cord-273199-xmq502gm 292 6 preprint preprint NN cord-273199-xmq502gm 292 7 this this DT cord-273199-xmq502gm 292 8 version version NN cord-273199-xmq502gm 292 9 posted post VBN cord-273199-xmq502gm 292 10 May May NNP cord-273199-xmq502gm 292 11 2 2 CD cord-273199-xmq502gm 292 12 , , , cord-273199-xmq502gm 292 13 2020 2020 CD cord-273199-xmq502gm 292 14 . . . cord-273199-xmq502gm 292 15 . . . cord-273199-xmq502gm 293 1 https://doi.org/10.1101/2020.04.29.20084483 https://doi.org/10.1101/2020.04.29.20084483 NN cord-273199-xmq502gm 293 2 doi doi NN cord-273199-xmq502gm 293 3 : : : cord-273199-xmq502gm 294 1 medRxiv medRxiv NNP cord-273199-xmq502gm 294 2 preprint preprint VBP cord-273199-xmq502gm 294 3 the the DT cord-273199-xmq502gm 294 4 data datum NNS cord-273199-xmq502gm 294 5 may may MD cord-273199-xmq502gm 294 6 not not RB cord-273199-xmq502gm 294 7 influence influence VB cord-273199-xmq502gm 294 8 too too RB cord-273199-xmq502gm 294 9 much much RB cord-273199-xmq502gm 294 10 the the DT cord-273199-xmq502gm 294 11 match match NN cord-273199-xmq502gm 294 12 with with IN cord-273199-xmq502gm 294 13 the the DT cord-273199-xmq502gm 294 14 u u NNP cord-273199-xmq502gm 294 15 - - HYPH cord-273199-xmq502gm 294 16 curves curve NNS cord-273199-xmq502gm 294 17 ; ; : cord-273199-xmq502gm 294 18 this this DT cord-273199-xmq502gm 294 19 is be VBZ cord-273199-xmq502gm 294 20 of of IN cord-273199-xmq502gm 294 21 course course RB cord-273199-xmq502gm 294 22 statistically statistically RB cord-273199-xmq502gm 294 23 and and CC cord-273199-xmq502gm 294 24 with with IN cord-273199-xmq502gm 294 25 usual usual JJ cord-273199-xmq502gm 294 26 reservations reservation NNS cord-273199-xmq502gm 294 27 . . . cord-273199-xmq502gm 295 1 Also also RB cord-273199-xmq502gm 295 2 , , , cord-273199-xmq502gm 295 3 ( ( -LRB- cord-273199-xmq502gm 295 4 4 4 LS cord-273199-xmq502gm 295 5 ) ) -RRB- cord-273199-xmq502gm 295 6 : : : cord-273199-xmq502gm 295 7 testing test VBG cord-273199-xmq502gm 295 8 the the DT cord-273199-xmq502gm 295 9 population population NN cord-273199-xmq502gm 295 10 and and CC cord-273199-xmq502gm 295 11 some some DT cord-273199-xmq502gm 295 12 " " `` cord-273199-xmq502gm 295 13 soft soft JJ cord-273199-xmq502gm 295 14 " " '' cord-273199-xmq502gm 295 15 measure measure NN cord-273199-xmq502gm 295 16 must must MD cord-273199-xmq502gm 295 17 be be VB cord-273199-xmq502gm 295 18 continued continue VBN cord-273199-xmq502gm 295 19 well well RB cord-273199-xmq502gm 295 20 after after IN cord-273199-xmq502gm 295 21 the the DT cord-273199-xmq502gm 295 22 " " `` cord-273199-xmq502gm 295 23 saturation saturation NN cord-273199-xmq502gm 295 24 " " '' cord-273199-xmq502gm 295 25 to to TO cord-273199-xmq502gm 295 26 prevent prevent VB cord-273199-xmq502gm 295 27 the the DT cord-273199-xmq502gm 295 28 recurrence recurrence NN cord-273199-xmq502gm 295 29 of of IN cord-273199-xmq502gm 295 30 the the DT cord-273199-xmq502gm 295 31 epidemic epidemic NN cord-273199-xmq502gm 295 32 . . . cord-273199-xmq502gm 296 1 The the DT cord-273199-xmq502gm 296 2 mathematics mathematic NNS cord-273199-xmq502gm 296 3 of of IN cord-273199-xmq502gm 296 4 infectious infectious JJ cord-273199-xmq502gm 296 5 diseases disease NNS cord-273199-xmq502gm 296 6 Periodicity Periodicity NNP cord-273199-xmq502gm 296 7 in in IN cord-273199-xmq502gm 296 8 Epidemiological Epidemiological NNP cord-273199-xmq502gm 296 9 Models Models NNPS cord-273199-xmq502gm 296 10 Power Power NNP cord-273199-xmq502gm 296 11 - - HYPH cord-273199-xmq502gm 296 12 Law Law NNP cord-273199-xmq502gm 296 13 models model NNS cord-273199-xmq502gm 296 14 for for IN cord-273199-xmq502gm 296 15 infectious infectious JJ cord-273199-xmq502gm 296 16 disease disease NN cord-273199-xmq502gm 296 17 spread spread VBD cord-273199-xmq502gm 296 18 Epidemic epidemic NN cord-273199-xmq502gm 296 19 psychology psychology NN cord-273199-xmq502gm 296 20 : : : cord-273199-xmq502gm 296 21 a a DT cord-273199-xmq502gm 296 22 model model NN cord-273199-xmq502gm 296 23 Modeling model VBG cord-273199-xmq502gm 296 24 infectious infectious JJ cord-273199-xmq502gm 296 25 disease disease NN cord-273199-xmq502gm 296 26 dynamics dynamic NNS cord-273199-xmq502gm 296 27 Momentum Momentum NNP cord-273199-xmq502gm 296 28 managing manage VBG cord-273199-xmq502gm 296 29 epidemic epidemic NN cord-273199-xmq502gm 296 30 spread spread NN cord-273199-xmq502gm 296 31 and and CC cord-273199-xmq502gm 296 32 Bessel Bessel NNP cord-273199-xmq502gm 296 33 functions function VBZ cord-273199-xmq502gm 296 34 Artificial artificial JJ cord-273199-xmq502gm 296 35 intelligence intelligence NN cord-273199-xmq502gm 296 36 approach approach NN cord-273199-xmq502gm 296 37 to to TO cord-273199-xmq502gm 296 38 momentum momentum VB cord-273199-xmq502gm 296 39 risk risk NN cord-273199-xmq502gm 296 40 - - HYPH cord-273199-xmq502gm 296 41 taking taking NN cord-273199-xmq502gm 296 42 Are be VBP cord-273199-xmq502gm 296 43 RNA RNA NNP cord-273199-xmq502gm 296 44 viruses virus NNS cord-273199-xmq502gm 296 45 candidate candidate NN cord-273199-xmq502gm 296 46 agents agent NNS cord-273199-xmq502gm 296 47 for for IN cord-273199-xmq502gm 296 48 the the DT cord-273199-xmq502gm 296 49 next next JJ cord-273199-xmq502gm 296 50 global global JJ cord-273199-xmq502gm 296 51 pandemic pandemic NN cord-273199-xmq502gm 296 52 ? ? . cord-273199-xmq502gm 297 1 A a DT cord-273199-xmq502gm 297 2 review review NN cord-273199-xmq502gm 298 1 A a DT cord-273199-xmq502gm 298 2 Treatise treatise NN cord-273199-xmq502gm 298 3 on on IN cord-273199-xmq502gm 298 4 the the DT cord-273199-xmq502gm 298 5 Theory theory NN cord-273199-xmq502gm 298 6 of of IN cord-273199-xmq502gm 298 7 Bessel Bessel NNP cord-273199-xmq502gm 298 8 Functions Functions NNPS cord-273199-xmq502gm 298 9 Acknowledgements Acknowledgements NNPS cord-273199-xmq502gm 298 10 . . . cord-273199-xmq502gm 299 1 I -PRON- PRP cord-273199-xmq502gm 299 2 'd 'd MD cord-273199-xmq502gm 299 3 like like VB cord-273199-xmq502gm 299 4 to to TO cord-273199-xmq502gm 299 5 thank thank VB cord-273199-xmq502gm 299 6 ETH ETH NNP cord-273199-xmq502gm 299 7 - - HYPH cord-273199-xmq502gm 299 8 ITS ITS NNP cord-273199-xmq502gm 299 9 for for IN cord-273199-xmq502gm 299 10 outstanding outstanding JJ cord-273199-xmq502gm 299 11 hospitality hospitality NN cord-273199-xmq502gm 299 12 . . . cord-273199-xmq502gm 300 1 My -PRON- PRP$ cord-273199-xmq502gm 300 2 special special JJ cord-273199-xmq502gm 300 3 thanks thank NNS cord-273199-xmq502gm 300 4 are be VBP cord-273199-xmq502gm 300 5 to to IN cord-273199-xmq502gm 300 6 Giovanni Giovanni NNP cord-273199-xmq502gm 300 7 Felder Felder NNP cord-273199-xmq502gm 300 8 , , , cord-273199-xmq502gm 300 9 Rahul Rahul NNP cord-273199-xmq502gm 300 10 Pandharipande Pandharipande NNP cord-273199-xmq502gm 300 11 . . . cord-273199-xmq502gm 301 1 I -PRON- PRP cord-273199-xmq502gm 301 2 also also RB cord-273199-xmq502gm 301 3 thank thank VBP cord-273199-xmq502gm 301 4 very very RB cord-273199-xmq502gm 301 5 much much RB cord-273199-xmq502gm 301 6 David David NNP cord-273199-xmq502gm 301 7 Kazhdan Kazhdan NNP cord-273199-xmq502gm 301 8 for for IN cord-273199-xmq502gm 301 9 his -PRON- PRP$ cord-273199-xmq502gm 301 10 valuable valuable JJ cord-273199-xmq502gm 301 11 comments comment NNS cord-273199-xmq502gm 301 12 and and CC cord-273199-xmq502gm 301 13 suggestions suggestion NNS cord-273199-xmq502gm 301 14 . . . cord-273199-xmq502gm 302 1 Funding funding NN cord-273199-xmq502gm 302 2 : : : cord-273199-xmq502gm 302 3 partially partially RB cord-273199-xmq502gm 302 4 supported support VBN cord-273199-xmq502gm 302 5 by by IN cord-273199-xmq502gm 302 6 NSF NSF NNP cord-273199-xmq502gm 302 7 grant grant VBP cord-273199-xmq502gm 302 8 DMS-1901796 DMS-1901796 NNP cord-273199-xmq502gm 302 9 and and CC cord-273199-xmq502gm 302 10 the the DT cord-273199-xmq502gm 302 11 Simons Simons NNP cord-273199-xmq502gm 302 12 Foundation Foundation NNP cord-273199-xmq502gm 302 13 . . .