id sid tid token lemma pos cord-291786-66c8xta0 1 1 key key NN cord-291786-66c8xta0 1 2 : : : cord-291786-66c8xta0 2 1 cord-291786 cord-291786 NNP cord-291786-66c8xta0 2 2 - - HYPH cord-291786-66c8xta0 2 3 66c8xta0 66c8xta0 CD cord-291786-66c8xta0 2 4 authors author NNS cord-291786-66c8xta0 2 5 : : : cord-291786-66c8xta0 3 1 He -PRON- PRP cord-291786-66c8xta0 3 2 , , , cord-291786-66c8xta0 3 3 Shaobo Shaobo NNP cord-291786-66c8xta0 3 4 ; ; : cord-291786-66c8xta0 3 5 Peng Peng NNP cord-291786-66c8xta0 3 6 , , , cord-291786-66c8xta0 3 7 Yuexi Yuexi NNP cord-291786-66c8xta0 3 8 ; ; : cord-291786-66c8xta0 3 9 Sun Sun NNP cord-291786-66c8xta0 3 10 , , , cord-291786-66c8xta0 3 11 Kehui Kehui NNP cord-291786-66c8xta0 3 12 title title NN cord-291786-66c8xta0 3 13 : : : cord-291786-66c8xta0 3 14 SEIR SEIR NNP cord-291786-66c8xta0 3 15 modeling modeling NN cord-291786-66c8xta0 3 16 of of IN cord-291786-66c8xta0 3 17 the the DT cord-291786-66c8xta0 3 18 COVID-19 covid-19 NN cord-291786-66c8xta0 3 19 and and CC cord-291786-66c8xta0 3 20 its -PRON- PRP$ cord-291786-66c8xta0 3 21 dynamics dynamic NNS cord-291786-66c8xta0 3 22 date date NN cord-291786-66c8xta0 3 23 : : : cord-291786-66c8xta0 3 24 2020 2020 CD cord-291786-66c8xta0 3 25 - - HYPH cord-291786-66c8xta0 3 26 06 06 CD cord-291786-66c8xta0 3 27 - - SYM cord-291786-66c8xta0 3 28 18 18 CD cord-291786-66c8xta0 3 29 journal journal NN cord-291786-66c8xta0 3 30 : : : cord-291786-66c8xta0 4 1 Nonlinear nonlinear JJ cord-291786-66c8xta0 4 2 Dyn Dyn NNP cord-291786-66c8xta0 4 3 DOI doi NN cord-291786-66c8xta0 4 4 : : : cord-291786-66c8xta0 5 1 10.1007 10.1007 CD cord-291786-66c8xta0 5 2 / / SYM cord-291786-66c8xta0 5 3 s11071 s11071 NNP cord-291786-66c8xta0 5 4 - - HYPH cord-291786-66c8xta0 5 5 020 020 CD cord-291786-66c8xta0 5 6 - - HYPH cord-291786-66c8xta0 5 7 05743-y 05743-y CD cord-291786-66c8xta0 6 1 sha sha NNP cord-291786-66c8xta0 6 2 : : : cord-291786-66c8xta0 6 3 b5d4689beb3c46916e3cf929cc8983242e2a72b2 b5d4689beb3c46916e3cf929cc8983242e2a72b2 VB cord-291786-66c8xta0 6 4 doc_id doc_id CD cord-291786-66c8xta0 6 5 : : : cord-291786-66c8xta0 7 1 291786 291786 CD cord-291786-66c8xta0 7 2 cord_uid cord_uid NNS cord-291786-66c8xta0 7 3 : : : cord-291786-66c8xta0 8 1 66c8xta0 66c8xta0 RB cord-291786-66c8xta0 9 1 In in IN cord-291786-66c8xta0 9 2 this this DT cord-291786-66c8xta0 9 3 paper paper NN cord-291786-66c8xta0 9 4 , , , cord-291786-66c8xta0 9 5 a a DT cord-291786-66c8xta0 9 6 SEIR SEIR NNP cord-291786-66c8xta0 9 7 epidemic epidemic NN cord-291786-66c8xta0 9 8 model model NN cord-291786-66c8xta0 9 9 for for IN cord-291786-66c8xta0 9 10 the the DT cord-291786-66c8xta0 9 11 COVID-19 COVID-19 NNP cord-291786-66c8xta0 9 12 is be VBZ cord-291786-66c8xta0 9 13 built build VBN cord-291786-66c8xta0 9 14 according accord VBG cord-291786-66c8xta0 9 15 to to IN cord-291786-66c8xta0 9 16 some some DT cord-291786-66c8xta0 9 17 general general JJ cord-291786-66c8xta0 9 18 control control NN cord-291786-66c8xta0 9 19 strategies strategy NNS cord-291786-66c8xta0 9 20 , , , cord-291786-66c8xta0 9 21 such such JJ cord-291786-66c8xta0 9 22 as as IN cord-291786-66c8xta0 9 23 hospital hospital NN cord-291786-66c8xta0 9 24 , , , cord-291786-66c8xta0 9 25 quarantine quarantine NN cord-291786-66c8xta0 9 26 and and CC cord-291786-66c8xta0 9 27 external external JJ cord-291786-66c8xta0 9 28 input input NN cord-291786-66c8xta0 9 29 . . . cord-291786-66c8xta0 10 1 Based base VBN cord-291786-66c8xta0 10 2 on on IN cord-291786-66c8xta0 10 3 the the DT cord-291786-66c8xta0 10 4 data datum NNS cord-291786-66c8xta0 10 5 of of IN cord-291786-66c8xta0 10 6 Hubei Hubei NNP cord-291786-66c8xta0 10 7 province province NN cord-291786-66c8xta0 10 8 , , , cord-291786-66c8xta0 10 9 the the DT cord-291786-66c8xta0 10 10 particle particle NN cord-291786-66c8xta0 10 11 swarm swarm NN cord-291786-66c8xta0 10 12 optimization optimization NN cord-291786-66c8xta0 10 13 ( ( -LRB- cord-291786-66c8xta0 10 14 PSO PSO NNP cord-291786-66c8xta0 10 15 ) ) -RRB- cord-291786-66c8xta0 10 16 algorithm algorithm NN cord-291786-66c8xta0 10 17 is be VBZ cord-291786-66c8xta0 10 18 applied apply VBN cord-291786-66c8xta0 10 19 to to TO cord-291786-66c8xta0 10 20 estimate estimate VB cord-291786-66c8xta0 10 21 the the DT cord-291786-66c8xta0 10 22 parameters parameter NNS cord-291786-66c8xta0 10 23 of of IN cord-291786-66c8xta0 10 24 the the DT cord-291786-66c8xta0 10 25 system system NN cord-291786-66c8xta0 10 26 . . . cord-291786-66c8xta0 11 1 We -PRON- PRP cord-291786-66c8xta0 11 2 found find VBD cord-291786-66c8xta0 11 3 that that IN cord-291786-66c8xta0 11 4 the the DT cord-291786-66c8xta0 11 5 parameters parameter NNS cord-291786-66c8xta0 11 6 of of IN cord-291786-66c8xta0 11 7 the the DT cord-291786-66c8xta0 11 8 proposed propose VBN cord-291786-66c8xta0 11 9 SEIR seir NN cord-291786-66c8xta0 11 10 model model NN cord-291786-66c8xta0 11 11 are be VBP cord-291786-66c8xta0 11 12 different different JJ cord-291786-66c8xta0 11 13 for for IN cord-291786-66c8xta0 11 14 different different JJ cord-291786-66c8xta0 11 15 scenarios scenario NNS cord-291786-66c8xta0 11 16 . . . cord-291786-66c8xta0 12 1 Then then RB cord-291786-66c8xta0 12 2 , , , cord-291786-66c8xta0 12 3 the the DT cord-291786-66c8xta0 12 4 model model NN cord-291786-66c8xta0 12 5 is be VBZ cord-291786-66c8xta0 12 6 employed employ VBN cord-291786-66c8xta0 12 7 to to TO cord-291786-66c8xta0 12 8 show show VB cord-291786-66c8xta0 12 9 the the DT cord-291786-66c8xta0 12 10 evolution evolution NN cord-291786-66c8xta0 12 11 of of IN cord-291786-66c8xta0 12 12 the the DT cord-291786-66c8xta0 12 13 epidemic epidemic NN cord-291786-66c8xta0 12 14 in in IN cord-291786-66c8xta0 12 15 Hubei Hubei NNP cord-291786-66c8xta0 12 16 province province NN cord-291786-66c8xta0 12 17 , , , cord-291786-66c8xta0 12 18 which which WDT cord-291786-66c8xta0 12 19 shows show VBZ cord-291786-66c8xta0 12 20 that that IN cord-291786-66c8xta0 12 21 it -PRON- PRP cord-291786-66c8xta0 12 22 can can MD cord-291786-66c8xta0 12 23 be be VB cord-291786-66c8xta0 12 24 used use VBN cord-291786-66c8xta0 12 25 to to TO cord-291786-66c8xta0 12 26 forecast forecast VB cord-291786-66c8xta0 12 27 COVID-19 covid-19 JJ cord-291786-66c8xta0 12 28 epidemic epidemic NN cord-291786-66c8xta0 12 29 situation situation NN cord-291786-66c8xta0 12 30 . . . cord-291786-66c8xta0 13 1 Moreover moreover RB cord-291786-66c8xta0 13 2 , , , cord-291786-66c8xta0 13 3 by by IN cord-291786-66c8xta0 13 4 introducing introduce VBG cord-291786-66c8xta0 13 5 the the DT cord-291786-66c8xta0 13 6 seasonality seasonality NN cord-291786-66c8xta0 13 7 and and CC cord-291786-66c8xta0 13 8 stochastic stochastic JJ cord-291786-66c8xta0 13 9 infection infection NN cord-291786-66c8xta0 13 10 the the DT cord-291786-66c8xta0 13 11 parameters parameter NNS cord-291786-66c8xta0 13 12 , , , cord-291786-66c8xta0 13 13 nonlinear nonlinear JJ cord-291786-66c8xta0 13 14 dynamics dynamic NNS cord-291786-66c8xta0 13 15 including include VBG cord-291786-66c8xta0 13 16 chaos chaos NN cord-291786-66c8xta0 13 17 are be VBP cord-291786-66c8xta0 13 18 found find VBN cord-291786-66c8xta0 13 19 in in IN cord-291786-66c8xta0 13 20 the the DT cord-291786-66c8xta0 13 21 system system NN cord-291786-66c8xta0 13 22 . . . cord-291786-66c8xta0 14 1 Finally finally RB cord-291786-66c8xta0 14 2 , , , cord-291786-66c8xta0 14 3 we -PRON- PRP cord-291786-66c8xta0 14 4 discussed discuss VBD cord-291786-66c8xta0 14 5 the the DT cord-291786-66c8xta0 14 6 control control NN cord-291786-66c8xta0 14 7 strategies strategy NNS cord-291786-66c8xta0 14 8 of of IN cord-291786-66c8xta0 14 9 the the DT cord-291786-66c8xta0 14 10 COVID-19 COVID-19 NNP cord-291786-66c8xta0 14 11 based base VBN cord-291786-66c8xta0 14 12 on on IN cord-291786-66c8xta0 14 13 the the DT cord-291786-66c8xta0 14 14 structure structure NN cord-291786-66c8xta0 14 15 and and CC cord-291786-66c8xta0 14 16 parameters parameter NNS cord-291786-66c8xta0 14 17 of of IN cord-291786-66c8xta0 14 18 the the DT cord-291786-66c8xta0 14 19 proposed propose VBN cord-291786-66c8xta0 14 20 model model NN cord-291786-66c8xta0 14 21 . . . cord-291786-66c8xta0 15 1 At at IN cord-291786-66c8xta0 15 2 the the DT cord-291786-66c8xta0 15 3 end end NN cord-291786-66c8xta0 15 4 of of IN cord-291786-66c8xta0 15 5 2019 2019 CD cord-291786-66c8xta0 15 6 , , , cord-291786-66c8xta0 15 7 a a DT cord-291786-66c8xta0 15 8 novel novel JJ cord-291786-66c8xta0 15 9 coronavirus coronavirus NN cord-291786-66c8xta0 15 10 disease disease NN cord-291786-66c8xta0 15 11 ( ( -LRB- cord-291786-66c8xta0 15 12 COVID-19 COVID-19 NNP cord-291786-66c8xta0 15 13 ) ) -RRB- cord-291786-66c8xta0 15 14 was be VBD cord-291786-66c8xta0 15 15 declared declare VBN cord-291786-66c8xta0 15 16 as as IN cord-291786-66c8xta0 15 17 a a DT cord-291786-66c8xta0 15 18 major major JJ cord-291786-66c8xta0 15 19 health health NN cord-291786-66c8xta0 15 20 hazard hazard NN cord-291786-66c8xta0 15 21 by by IN cord-291786-66c8xta0 15 22 World World NNP cord-291786-66c8xta0 15 23 Health Health NNP cord-291786-66c8xta0 15 24 Organization Organization NNP cord-291786-66c8xta0 15 25 ( ( -LRB- cord-291786-66c8xta0 15 26 WHO who WP cord-291786-66c8xta0 15 27 ) ) -RRB- cord-291786-66c8xta0 15 28 . . . cord-291786-66c8xta0 16 1 At at IN cord-291786-66c8xta0 16 2 present present NN cord-291786-66c8xta0 16 3 , , , cord-291786-66c8xta0 16 4 this this DT cord-291786-66c8xta0 16 5 disease disease NN cord-291786-66c8xta0 16 6 is be VBZ cord-291786-66c8xta0 16 7 rapidly rapidly RB cord-291786-66c8xta0 16 8 growing grow VBG cord-291786-66c8xta0 16 9 in in IN cord-291786-66c8xta0 16 10 many many JJ cord-291786-66c8xta0 16 11 countries country NNS cord-291786-66c8xta0 16 12 , , , cord-291786-66c8xta0 16 13 and and CC cord-291786-66c8xta0 16 14 the the DT cord-291786-66c8xta0 16 15 global global JJ cord-291786-66c8xta0 16 16 number number NN cord-291786-66c8xta0 16 17 of of IN cord-291786-66c8xta0 16 18 COVID-19 covid-19 JJ cord-291786-66c8xta0 16 19 cases case NNS cord-291786-66c8xta0 16 20 is be VBZ cord-291786-66c8xta0 16 21 increasing increase VBG cord-291786-66c8xta0 16 22 at at IN cord-291786-66c8xta0 16 23 a a DT cord-291786-66c8xta0 16 24 rapid rapid JJ cord-291786-66c8xta0 16 25 rate rate NN cord-291786-66c8xta0 16 26 . . . cord-291786-66c8xta0 17 1 This this DT cord-291786-66c8xta0 17 2 coronavirus coronavirus NN cord-291786-66c8xta0 17 3 is be VBZ cord-291786-66c8xta0 17 4 a a DT cord-291786-66c8xta0 17 5 kind kind NN cord-291786-66c8xta0 17 6 of of IN cord-291786-66c8xta0 17 7 enveloped envelop VBN cord-291786-66c8xta0 17 8 , , , cord-291786-66c8xta0 17 9 single single JJ cord-291786-66c8xta0 17 10 stranded stranded JJ cord-291786-66c8xta0 17 11 and and CC cord-291786-66c8xta0 17 12 positive positive JJ cord-291786-66c8xta0 17 13 sense sense NN cord-291786-66c8xta0 17 14 virus virus NN cord-291786-66c8xta0 17 15 which which WDT cord-291786-66c8xta0 17 16 belongs belong VBZ cord-291786-66c8xta0 17 17 to to IN cord-291786-66c8xta0 17 18 the the DT cord-291786-66c8xta0 17 19 RNA RNA NNP cord-291786-66c8xta0 17 20 coronaviridae coronaviridae NN cord-291786-66c8xta0 17 21 family family NN cord-291786-66c8xta0 17 22 [ [ -LRB- cord-291786-66c8xta0 17 23 1 1 CD cord-291786-66c8xta0 17 24 , , , cord-291786-66c8xta0 17 25 2 2 CD cord-291786-66c8xta0 17 26 ] ] -RRB- cord-291786-66c8xta0 17 27 . . . cord-291786-66c8xta0 18 1 In in IN cord-291786-66c8xta0 18 2 early early JJ cord-291786-66c8xta0 18 3 December December NNP cord-291786-66c8xta0 18 4 of of IN cord-291786-66c8xta0 18 5 2019 2019 CD cord-291786-66c8xta0 18 6 , , , cord-291786-66c8xta0 18 7 this this DT cord-291786-66c8xta0 18 8 infectious infectious JJ cord-291786-66c8xta0 18 9 disease disease NN cord-291786-66c8xta0 18 10 has have VBZ cord-291786-66c8xta0 18 11 begun begin VBN cord-291786-66c8xta0 18 12 to to TO cord-291786-66c8xta0 18 13 outbreak outbreak VB cord-291786-66c8xta0 18 14 in in IN cord-291786-66c8xta0 18 15 Wuhan Wuhan NNP cord-291786-66c8xta0 18 16 , , , cord-291786-66c8xta0 18 17 the the DT cord-291786-66c8xta0 18 18 capital capital NN cord-291786-66c8xta0 18 19 city city NN cord-291786-66c8xta0 18 20 of of IN cord-291786-66c8xta0 18 21 Hubei Hubei NNP cord-291786-66c8xta0 18 22 province province NN cord-291786-66c8xta0 18 23 , , , cord-291786-66c8xta0 18 24 China China NNP cord-291786-66c8xta0 18 25 . . . cord-291786-66c8xta0 19 1 Until until IN cord-291786-66c8xta0 19 2 now now RB cord-291786-66c8xta0 19 3 , , , cord-291786-66c8xta0 19 4 the the DT cord-291786-66c8xta0 19 5 epidemic epidemic NN cord-291786-66c8xta0 19 6 in in IN cord-291786-66c8xta0 19 7 China China NNP cord-291786-66c8xta0 19 8 is be VBZ cord-291786-66c8xta0 19 9 basically basically RB cord-291786-66c8xta0 19 10 under under IN cord-291786-66c8xta0 19 11 control control NN cord-291786-66c8xta0 19 12 , , , cord-291786-66c8xta0 19 13 but but CC cord-291786-66c8xta0 19 14 there there EX cord-291786-66c8xta0 19 15 are be VBP cord-291786-66c8xta0 19 16 still still RB cord-291786-66c8xta0 19 17 many many JJ cord-291786-66c8xta0 19 18 infections infection NNS cord-291786-66c8xta0 19 19 around around IN cord-291786-66c8xta0 19 20 the the DT cord-291786-66c8xta0 19 21 world world NN cord-291786-66c8xta0 19 22 . . . cord-291786-66c8xta0 20 1 To to TO cord-291786-66c8xta0 20 2 defeat defeat VB cord-291786-66c8xta0 20 3 the the DT cord-291786-66c8xta0 20 4 epidemic epidemic NN cord-291786-66c8xta0 20 5 , , , cord-291786-66c8xta0 20 6 scientists scientist NNS cord-291786-66c8xta0 20 7 in in IN cord-291786-66c8xta0 20 8 different different JJ cord-291786-66c8xta0 20 9 fields field NNS cord-291786-66c8xta0 20 10 investigated investigate VBD cord-291786-66c8xta0 20 11 the the DT cord-291786-66c8xta0 20 12 COVID-19 COVID-19 NNP cord-291786-66c8xta0 20 13 from from IN cord-291786-66c8xta0 20 14 different different JJ cord-291786-66c8xta0 20 15 points point NNS cord-291786-66c8xta0 20 16 of of IN cord-291786-66c8xta0 20 17 view view NN cord-291786-66c8xta0 20 18 . . . cord-291786-66c8xta0 21 1 Those those DT cord-291786-66c8xta0 21 2 aspects aspect NNS cord-291786-66c8xta0 21 3 include include VBP cord-291786-66c8xta0 21 4 pathology pathology NN cord-291786-66c8xta0 21 5 , , , cord-291786-66c8xta0 21 6 sociology sociology NN cord-291786-66c8xta0 21 7 perspective perspective NN cord-291786-66c8xta0 21 8 , , , cord-291786-66c8xta0 21 9 the the DT cord-291786-66c8xta0 21 10 infection infection NN cord-291786-66c8xta0 21 11 mechanism mechanism NN cord-291786-66c8xta0 21 12 and and CC cord-291786-66c8xta0 21 13 prediction prediction NN cord-291786-66c8xta0 21 14 [ [ -LRB- cord-291786-66c8xta0 21 15 3 3 CD cord-291786-66c8xta0 21 16 ] ] -RRB- cord-291786-66c8xta0 21 17 [ [ -LRB- cord-291786-66c8xta0 21 18 4 4 CD cord-291786-66c8xta0 21 19 ] ] -RRB- cord-291786-66c8xta0 21 20 [ [ -LRB- cord-291786-66c8xta0 21 21 5 5 CD cord-291786-66c8xta0 21 22 ] ] -RRB- cord-291786-66c8xta0 21 23 [ [ -LRB- cord-291786-66c8xta0 21 24 6 6 CD cord-291786-66c8xta0 21 25 ] ] -RRB- cord-291786-66c8xta0 21 26 [ [ -LRB- cord-291786-66c8xta0 21 27 7 7 CD cord-291786-66c8xta0 21 28 ] ] -RRB- cord-291786-66c8xta0 21 29 [ [ -LRB- cord-291786-66c8xta0 21 30 8 8 CD cord-291786-66c8xta0 21 31 ] ] -RRB- cord-291786-66c8xta0 21 32 . . . cord-291786-66c8xta0 22 1 In in IN cord-291786-66c8xta0 22 2 the the DT cord-291786-66c8xta0 22 3 history history NN cord-291786-66c8xta0 22 4 of of IN cord-291786-66c8xta0 22 5 mankind mankind NN cord-291786-66c8xta0 22 6 , , , cord-291786-66c8xta0 22 7 there there EX cord-291786-66c8xta0 22 8 are be VBP cord-291786-66c8xta0 22 9 many many JJ cord-291786-66c8xta0 22 10 other other JJ cord-291786-66c8xta0 22 11 outbreak outbreak NN cord-291786-66c8xta0 22 12 and and CC cord-291786-66c8xta0 22 13 transmission transmission NN cord-291786-66c8xta0 22 14 of of IN cord-291786-66c8xta0 22 15 diseases disease NNS cord-291786-66c8xta0 22 16 such such JJ cord-291786-66c8xta0 22 17 as as IN cord-291786-66c8xta0 22 18 dengue dengue NN cord-291786-66c8xta0 22 19 fever fever NN cord-291786-66c8xta0 22 20 , , , cord-291786-66c8xta0 22 21 malaria malaria NN cord-291786-66c8xta0 22 22 , , , cord-291786-66c8xta0 22 23 influenza influenza NN cord-291786-66c8xta0 22 24 , , , cord-291786-66c8xta0 22 25 pestilence pestilence NN cord-291786-66c8xta0 22 26 and and CC cord-291786-66c8xta0 22 27 HIV HIV NNP cord-291786-66c8xta0 22 28 / / SYM cord-291786-66c8xta0 22 29 AIDS AIDS NNP cord-291786-66c8xta0 22 30 . . . cord-291786-66c8xta0 23 1 How how WRB cord-291786-66c8xta0 23 2 to to TO cord-291786-66c8xta0 23 3 built built VB cord-291786-66c8xta0 23 4 a a DT cord-291786-66c8xta0 23 5 proper proper JJ cord-291786-66c8xta0 23 6 epidemiological epidemiological JJ cord-291786-66c8xta0 23 7 model model NN cord-291786-66c8xta0 23 8 for for IN cord-291786-66c8xta0 23 9 these these DT cord-291786-66c8xta0 23 10 epidemics epidemic NNS cord-291786-66c8xta0 23 11 is be VBZ cord-291786-66c8xta0 23 12 a a DT cord-291786-66c8xta0 23 13 challenging challenging JJ cord-291786-66c8xta0 23 14 task task NN cord-291786-66c8xta0 23 15 . . . cord-291786-66c8xta0 24 1 Some some DT cord-291786-66c8xta0 24 2 scientists scientist NNS cord-291786-66c8xta0 24 3 treat treat VBP cord-291786-66c8xta0 24 4 the the DT cord-291786-66c8xta0 24 5 disease disease NN cord-291786-66c8xta0 24 6 spread spread VBD cord-291786-66c8xta0 24 7 as as IN cord-291786-66c8xta0 24 8 a a DT cord-291786-66c8xta0 24 9 complex complex JJ cord-291786-66c8xta0 24 10 network network NN cord-291786-66c8xta0 24 11 for for IN cord-291786-66c8xta0 24 12 forecast forecast NN cord-291786-66c8xta0 24 13 and and CC cord-291786-66c8xta0 24 14 modeling model VBG cord-291786-66c8xta0 24 15 [ [ -LRB- cord-291786-66c8xta0 24 16 9 9 CD cord-291786-66c8xta0 24 17 , , , cord-291786-66c8xta0 24 18 10 10 CD cord-291786-66c8xta0 24 19 ] ] -RRB- cord-291786-66c8xta0 24 20 . . . cord-291786-66c8xta0 25 1 For for IN cord-291786-66c8xta0 25 2 the the DT cord-291786-66c8xta0 25 3 COVID-19 COVID-19 NNP cord-291786-66c8xta0 25 4 , , , cord-291786-66c8xta0 25 5 Bastian Bastian NNP cord-291786-66c8xta0 25 6 Prasse Prasse NNP cord-291786-66c8xta0 25 7 et et NNP cord-291786-66c8xta0 25 8 al al NNP cord-291786-66c8xta0 25 9 . . . cord-291786-66c8xta0 26 1 [ [ -LRB- cord-291786-66c8xta0 26 2 10 10 CD cord-291786-66c8xta0 26 3 ] ] -RRB- cord-291786-66c8xta0 26 4 designed design VBN cord-291786-66c8xta0 26 5 a a DT cord-291786-66c8xta0 26 6 network network NN cord-291786-66c8xta0 26 7 - - HYPH cord-291786-66c8xta0 26 8 based base VBN cord-291786-66c8xta0 26 9 model model NN cord-291786-66c8xta0 26 10 which which WDT cord-291786-66c8xta0 26 11 is be VBZ cord-291786-66c8xta0 26 12 built build VBN cord-291786-66c8xta0 26 13 by by IN cord-291786-66c8xta0 26 14 the the DT cord-291786-66c8xta0 26 15 cities city NNS cord-291786-66c8xta0 26 16 and and CC cord-291786-66c8xta0 26 17 traffic traffic NN cord-291786-66c8xta0 26 18 flow flow NN cord-291786-66c8xta0 26 19 to to TO cord-291786-66c8xta0 26 20 describe describe VB cord-291786-66c8xta0 26 21 the the DT cord-291786-66c8xta0 26 22 epidemic epidemic NN cord-291786-66c8xta0 26 23 in in IN cord-291786-66c8xta0 26 24 the the DT cord-291786-66c8xta0 26 25 Hubei Hubei NNP cord-291786-66c8xta0 26 26 province province NN cord-291786-66c8xta0 26 27 . . . cord-291786-66c8xta0 27 1 At at IN cord-291786-66c8xta0 27 2 present present NN cord-291786-66c8xta0 27 3 , , , cord-291786-66c8xta0 27 4 the the DT cord-291786-66c8xta0 27 5 SIS SIS NNP cord-291786-66c8xta0 27 6 [ [ -LRB- cord-291786-66c8xta0 27 7 11 11 CD cord-291786-66c8xta0 27 8 , , , cord-291786-66c8xta0 27 9 12 12 CD cord-291786-66c8xta0 27 10 ] ] -RRB- cord-291786-66c8xta0 27 11 , , , cord-291786-66c8xta0 27 12 SIR SIR NNP cord-291786-66c8xta0 27 13 [ [ -LRB- cord-291786-66c8xta0 27 14 13 13 CD cord-291786-66c8xta0 27 15 ] ] -RRB- cord-291786-66c8xta0 27 16 and and CC cord-291786-66c8xta0 27 17 SEIR SEIR NNP cord-291786-66c8xta0 27 18 [ [ -LRB- cord-291786-66c8xta0 27 19 14 14 CD cord-291786-66c8xta0 27 20 , , , cord-291786-66c8xta0 27 21 15 15 CD cord-291786-66c8xta0 27 22 ] ] -RRB- cord-291786-66c8xta0 27 23 another another DT cord-291786-66c8xta0 27 24 way way NN cord-291786-66c8xta0 27 25 for for IN cord-291786-66c8xta0 27 26 the the DT cord-291786-66c8xta0 27 27 simulation simulation NN cord-291786-66c8xta0 27 28 of of IN cord-291786-66c8xta0 27 29 epidemics epidemic NNS cord-291786-66c8xta0 27 30 . . . cord-291786-66c8xta0 28 1 Lots lot NNS cord-291786-66c8xta0 28 2 of of IN cord-291786-66c8xta0 28 3 research research NN cord-291786-66c8xta0 28 4 works work NNS cord-291786-66c8xta0 28 5 have have VBP cord-291786-66c8xta0 28 6 been be VBN cord-291786-66c8xta0 28 7 reported report VBN cord-291786-66c8xta0 28 8 . . . cord-291786-66c8xta0 29 1 It -PRON- PRP cord-291786-66c8xta0 29 2 shows show VBZ cord-291786-66c8xta0 29 3 that that IN cord-291786-66c8xta0 29 4 those those DT cord-291786-66c8xta0 29 5 SIS SIS NNP cord-291786-66c8xta0 29 6 , , , cord-291786-66c8xta0 29 7 SIR SIR NNP cord-291786-66c8xta0 29 8 and and CC cord-291786-66c8xta0 29 9 SEIR SEIR NNP cord-291786-66c8xta0 29 10 models model NNS cord-291786-66c8xta0 29 11 can can MD cord-291786-66c8xta0 29 12 reflect reflect VB cord-291786-66c8xta0 29 13 the the DT cord-291786-66c8xta0 29 14 dynamics dynamic NNS cord-291786-66c8xta0 29 15 of of IN cord-291786-66c8xta0 29 16 different different JJ cord-291786-66c8xta0 29 17 epidemics epidemic NNS cord-291786-66c8xta0 29 18 well well RB cord-291786-66c8xta0 29 19 . . . cord-291786-66c8xta0 30 1 Meanwhile meanwhile RB cord-291786-66c8xta0 30 2 , , , cord-291786-66c8xta0 30 3 these these DT cord-291786-66c8xta0 30 4 models model NNS cord-291786-66c8xta0 30 5 have have VBP cord-291786-66c8xta0 30 6 been be VBN cord-291786-66c8xta0 30 7 used use VBN cord-291786-66c8xta0 30 8 to to TO cord-291786-66c8xta0 30 9 model model VB cord-291786-66c8xta0 30 10 the the DT cord-291786-66c8xta0 30 11 COVID-19 COVID-19 NNP cord-291786-66c8xta0 30 12 [ [ -LRB- cord-291786-66c8xta0 30 13 16 16 CD cord-291786-66c8xta0 30 14 , , , cord-291786-66c8xta0 30 15 17 17 CD cord-291786-66c8xta0 30 16 ] ] -RRB- cord-291786-66c8xta0 30 17 . . . cord-291786-66c8xta0 31 1 For for IN cord-291786-66c8xta0 31 2 instance instance NN cord-291786-66c8xta0 31 3 , , , cord-291786-66c8xta0 31 4 Tang Tang NNP cord-291786-66c8xta0 31 5 et et NNP cord-291786-66c8xta0 31 6 al al NNP cord-291786-66c8xta0 31 7 . . . cord-291786-66c8xta0 32 1 [ [ -LRB- cord-291786-66c8xta0 32 2 17 17 CD cord-291786-66c8xta0 32 3 ] ] -RRB- cord-291786-66c8xta0 32 4 investigated investigate VBD cord-291786-66c8xta0 32 5 a a DT cord-291786-66c8xta0 32 6 general general JJ cord-291786-66c8xta0 32 7 SEIRtype SEIRtype NNP cord-291786-66c8xta0 32 8 epidemiological epidemiological JJ cord-291786-66c8xta0 32 9 model model NN cord-291786-66c8xta0 32 10 where where WRB cord-291786-66c8xta0 32 11 quarantine quarantine NN cord-291786-66c8xta0 32 12 , , , cord-291786-66c8xta0 32 13 isolation isolation NN cord-291786-66c8xta0 32 14 and and CC cord-291786-66c8xta0 32 15 treatment treatment NN cord-291786-66c8xta0 32 16 are be VBP cord-291786-66c8xta0 32 17 considered consider VBN cord-291786-66c8xta0 32 18 . . . cord-291786-66c8xta0 33 1 Moreover moreover RB cord-291786-66c8xta0 33 2 , , , cord-291786-66c8xta0 33 3 there there EX cord-291786-66c8xta0 33 4 are be VBP cord-291786-66c8xta0 33 5 also also RB cord-291786-66c8xta0 33 6 other other JJ cord-291786-66c8xta0 33 7 methods method NNS cord-291786-66c8xta0 33 8 for for IN cord-291786-66c8xta0 33 9 modeling modeling NN cord-291786-66c8xta0 33 10 of of IN cord-291786-66c8xta0 33 11 the the DT cord-291786-66c8xta0 33 12 COVID-19 covid-19 JJ cord-291786-66c8xta0 33 13 [ [ -LRB- cord-291786-66c8xta0 33 14 18 18 CD cord-291786-66c8xta0 33 15 , , , cord-291786-66c8xta0 33 16 19 19 CD cord-291786-66c8xta0 33 17 ] ] -RRB- cord-291786-66c8xta0 33 18 . . . cord-291786-66c8xta0 34 1 Wang Wang NNP cord-291786-66c8xta0 34 2 et et NNP cord-291786-66c8xta0 34 3 al al NNP cord-291786-66c8xta0 34 4 . . . cord-291786-66c8xta0 35 1 [ [ -LRB- cord-291786-66c8xta0 35 2 19 19 CD cord-291786-66c8xta0 35 3 ] ] -RRB- cord-291786-66c8xta0 35 4 applied apply VBD cord-291786-66c8xta0 35 5 the the DT cord-291786-66c8xta0 35 6 phase phase NN cord-291786-66c8xta0 35 7 - - HYPH cord-291786-66c8xta0 35 8 adjusted adjust VBN cord-291786-66c8xta0 35 9 estimation estimation NN cord-291786-66c8xta0 35 10 for for IN cord-291786-66c8xta0 35 11 the the DT cord-291786-66c8xta0 35 12 number number NN cord-291786-66c8xta0 35 13 of of IN cord-291786-66c8xta0 35 14 coronavirus coronavirus NN cord-291786-66c8xta0 35 15 disease disease NN cord-291786-66c8xta0 35 16 2019 2019 CD cord-291786-66c8xta0 35 17 cases case NNS cord-291786-66c8xta0 35 18 in in IN cord-291786-66c8xta0 35 19 Wuhan Wuhan NNP cord-291786-66c8xta0 35 20 . . . cord-291786-66c8xta0 36 1 Thus thus RB cord-291786-66c8xta0 36 2 in in IN cord-291786-66c8xta0 36 3 this this DT cord-291786-66c8xta0 36 4 paper paper NN cord-291786-66c8xta0 36 5 , , , cord-291786-66c8xta0 36 6 we -PRON- PRP cord-291786-66c8xta0 36 7 try try VBP cord-291786-66c8xta0 36 8 to to TO cord-291786-66c8xta0 36 9 propose propose VB cord-291786-66c8xta0 36 10 a a DT cord-291786-66c8xta0 36 11 SEIR SEIR NNP cord-291786-66c8xta0 36 12 model model NN cord-291786-66c8xta0 36 13 to to TO cord-291786-66c8xta0 36 14 simulate simulate VB cord-291786-66c8xta0 36 15 the the DT cord-291786-66c8xta0 36 16 process process NN cord-291786-66c8xta0 36 17 of of IN cord-291786-66c8xta0 36 18 COVID- covid- NN cord-291786-66c8xta0 36 19 19 19 CD cord-291786-66c8xta0 36 20 . . . cord-291786-66c8xta0 37 1 Chaos chaos NN cord-291786-66c8xta0 37 2 widely widely RB cord-291786-66c8xta0 37 3 exits exit VBZ cord-291786-66c8xta0 37 4 in in IN cord-291786-66c8xta0 37 5 nature nature NN cord-291786-66c8xta0 37 6 and and CC cord-291786-66c8xta0 37 7 man man NN cord-291786-66c8xta0 37 8 - - HYPH cord-291786-66c8xta0 37 9 made make VBN cord-291786-66c8xta0 37 10 systems system NNS cord-291786-66c8xta0 37 11 including include VBG cord-291786-66c8xta0 37 12 those those DT cord-291786-66c8xta0 37 13 biological biological JJ cord-291786-66c8xta0 37 14 systems system NNS cord-291786-66c8xta0 37 15 [ [ -LRB- cord-291786-66c8xta0 37 16 20 20 CD cord-291786-66c8xta0 37 17 ] ] -RRB- cord-291786-66c8xta0 37 18 [ [ -LRB- cord-291786-66c8xta0 37 19 21 21 CD cord-291786-66c8xta0 37 20 ] ] -RRB- cord-291786-66c8xta0 37 21 [ [ -LRB- cord-291786-66c8xta0 37 22 22 22 CD cord-291786-66c8xta0 37 23 ] ] -RRB- cord-291786-66c8xta0 37 24 [ [ -LRB- cord-291786-66c8xta0 37 25 23 23 CD cord-291786-66c8xta0 37 26 ] ] -RRB- cord-291786-66c8xta0 37 27 [ [ -LRB- cord-291786-66c8xta0 37 28 24 24 CD cord-291786-66c8xta0 37 29 ] ] -RRB- cord-291786-66c8xta0 37 30 . . . cord-291786-66c8xta0 38 1 According accord VBG cord-291786-66c8xta0 38 2 to to IN cord-291786-66c8xta0 38 3 the the DT cord-291786-66c8xta0 38 4 famous famous JJ cord-291786-66c8xta0 38 5 Logistic Logistic NNP cord-291786-66c8xta0 38 6 map map NN cord-291786-66c8xta0 38 7 , , , cord-291786-66c8xta0 38 8 it -PRON- PRP cord-291786-66c8xta0 38 9 shows show VBZ cord-291786-66c8xta0 38 10 that that IN cord-291786-66c8xta0 38 11 the the DT cord-291786-66c8xta0 38 12 natural natural JJ cord-291786-66c8xta0 38 13 evolution evolution NN cord-291786-66c8xta0 38 14 of of IN cord-291786-66c8xta0 38 15 the the DT cord-291786-66c8xta0 38 16 population population NN cord-291786-66c8xta0 38 17 size size NN cord-291786-66c8xta0 38 18 could could MD cord-291786-66c8xta0 38 19 be be VB cord-291786-66c8xta0 38 20 chaotic chaotic JJ cord-291786-66c8xta0 38 21 . . . cord-291786-66c8xta0 39 1 However however RB cord-291786-66c8xta0 39 2 , , , cord-291786-66c8xta0 39 3 it -PRON- PRP cord-291786-66c8xta0 39 4 is be VBZ cord-291786-66c8xta0 39 5 not not RB cord-291786-66c8xta0 39 6 a a DT cord-291786-66c8xta0 39 7 good good JJ cord-291786-66c8xta0 39 8 thing thing NN cord-291786-66c8xta0 39 9 to to TO cord-291786-66c8xta0 39 10 find find VB cord-291786-66c8xta0 39 11 chaos chaos NN cord-291786-66c8xta0 39 12 in in IN cord-291786-66c8xta0 39 13 the the DT cord-291786-66c8xta0 39 14 SEIR SEIR NNP cord-291786-66c8xta0 39 15 model model NN cord-291786-66c8xta0 39 16 . . . cord-291786-66c8xta0 40 1 Unfortunately unfortunately RB cord-291786-66c8xta0 40 2 , , , cord-291786-66c8xta0 40 3 chaos chaos NN cord-291786-66c8xta0 40 4 in in IN cord-291786-66c8xta0 40 5 the the DT cord-291786-66c8xta0 40 6 SIR SIR NNP cord-291786-66c8xta0 40 7 , , , cord-291786-66c8xta0 40 8 SIS SIS NNP cord-291786-66c8xta0 40 9 and and CC cord-291786-66c8xta0 40 10 SEIR SEIR NNP cord-291786-66c8xta0 40 11 models model NNS cord-291786-66c8xta0 40 12 has have VBZ cord-291786-66c8xta0 40 13 been be VBN cord-291786-66c8xta0 40 14 investigated investigate VBN cord-291786-66c8xta0 40 15 by by IN cord-291786-66c8xta0 40 16 many many JJ cord-291786-66c8xta0 40 17 researchers researcher NNS cord-291786-66c8xta0 40 18 . . . cord-291786-66c8xta0 41 1 Generally generally RB cord-291786-66c8xta0 41 2 , , , cord-291786-66c8xta0 41 3 the the DT cord-291786-66c8xta0 41 4 seasonality seasonality NN cord-291786-66c8xta0 41 5 and and CC cord-291786-66c8xta0 41 6 stochastic stochastic JJ cord-291786-66c8xta0 41 7 infection infection NN cord-291786-66c8xta0 41 8 are be VBP cord-291786-66c8xta0 41 9 introduced introduce VBN cord-291786-66c8xta0 41 10 to to IN cord-291786-66c8xta0 41 11 the the DT cord-291786-66c8xta0 41 12 system system NN cord-291786-66c8xta0 41 13 for for IN cord-291786-66c8xta0 41 14 the the DT cord-291786-66c8xta0 41 15 nonlinear nonlinear JJ cord-291786-66c8xta0 41 16 dynamics dynamic NNS cord-291786-66c8xta0 41 17 . . . cord-291786-66c8xta0 42 1 For for IN cord-291786-66c8xta0 42 2 instance instance NN cord-291786-66c8xta0 42 3 , , , cord-291786-66c8xta0 42 4 Kuznetsov Kuznetsov NNP cord-291786-66c8xta0 42 5 and and CC cord-291786-66c8xta0 42 6 Piccardi Piccardi NNP cord-291786-66c8xta0 42 7 [ [ -LRB- cord-291786-66c8xta0 42 8 25 25 CD cord-291786-66c8xta0 42 9 ] ] -RRB- cord-291786-66c8xta0 42 10 investigated investigate VBD cord-291786-66c8xta0 42 11 the the DT cord-291786-66c8xta0 42 12 bifurcations bifurcation NNS cord-291786-66c8xta0 42 13 of of IN cord-291786-66c8xta0 42 14 the the DT cord-291786-66c8xta0 42 15 periodic periodic JJ cord-291786-66c8xta0 42 16 solutions solution NNS cord-291786-66c8xta0 42 17 of of IN cord-291786-66c8xta0 42 18 SEIR SEIR NNP cord-291786-66c8xta0 42 19 and and CC cord-291786-66c8xta0 42 20 SIR SIR NNP cord-291786-66c8xta0 42 21 epidemic epidemic NN cord-291786-66c8xta0 42 22 models model NNS cord-291786-66c8xta0 42 23 with with IN cord-291786-66c8xta0 42 24 sinusoidally sinusoidally RB cord-291786-66c8xta0 42 25 varying vary VBG cord-291786-66c8xta0 42 26 contact contact NN cord-291786-66c8xta0 42 27 rate rate NN cord-291786-66c8xta0 42 28 . . . cord-291786-66c8xta0 43 1 Meanwhile meanwhile RB cord-291786-66c8xta0 43 2 , , , cord-291786-66c8xta0 43 3 the the DT cord-291786-66c8xta0 43 4 fractional fractional JJ cord-291786-66c8xta0 43 5 - - HYPH cord-291786-66c8xta0 43 6 order order NN cord-291786-66c8xta0 43 7 SEIR SEIR NNP cord-291786-66c8xta0 43 8 epidemic epidemic NN cord-291786-66c8xta0 43 9 model model NN cord-291786-66c8xta0 43 10 has have VBZ cord-291786-66c8xta0 43 11 aroused arouse VBN cord-291786-66c8xta0 43 12 research research NN cord-291786-66c8xta0 43 13 interests interest NNS cord-291786-66c8xta0 43 14 of of IN cord-291786-66c8xta0 43 15 scientists scientist NNS cord-291786-66c8xta0 43 16 . . . cord-291786-66c8xta0 44 1 He -PRON- PRP cord-291786-66c8xta0 44 2 et et FW cord-291786-66c8xta0 44 3 al al NNP cord-291786-66c8xta0 44 4 . . . cord-291786-66c8xta0 45 1 [ [ -LRB- cord-291786-66c8xta0 45 2 26 26 CD cord-291786-66c8xta0 45 3 ] ] -RRB- cord-291786-66c8xta0 45 4 investigated investigate VBD cord-291786-66c8xta0 45 5 the the DT cord-291786-66c8xta0 45 6 epidemic epidemic NN cord-291786-66c8xta0 45 7 outbreaks outbreak NNS cord-291786-66c8xta0 45 8 using use VBG cord-291786-66c8xta0 45 9 the the DT cord-291786-66c8xta0 45 10 SIR SIR NNP cord-291786-66c8xta0 45 11 model model NN cord-291786-66c8xta0 45 12 , , , cord-291786-66c8xta0 45 13 and and CC cord-291786-66c8xta0 45 14 a a DT cord-291786-66c8xta0 45 15 hard hard JJ cord-291786-66c8xta0 45 16 limited limited JJ cord-291786-66c8xta0 45 17 controller controller NN cord-291786-66c8xta0 45 18 is be VBZ cord-291786-66c8xta0 45 19 designed design VBN cord-291786-66c8xta0 45 20 for for IN cord-291786-66c8xta0 45 21 the the DT cord-291786-66c8xta0 45 22 control control NN cord-291786-66c8xta0 45 23 of of IN cord-291786-66c8xta0 45 24 the the DT cord-291786-66c8xta0 45 25 system system NN cord-291786-66c8xta0 45 26 . . . cord-291786-66c8xta0 46 1 However however RB cord-291786-66c8xta0 46 2 , , , cord-291786-66c8xta0 46 3 on on IN cord-291786-66c8xta0 46 4 the the DT cord-291786-66c8xta0 46 5 one one CD cord-291786-66c8xta0 46 6 hand hand NN cord-291786-66c8xta0 46 7 , , , cord-291786-66c8xta0 46 8 those those DT cord-291786-66c8xta0 46 9 SIR SIR NNP cord-291786-66c8xta0 46 10 and and CC cord-291786-66c8xta0 46 11 SEIR SEIR NNP cord-291786-66c8xta0 46 12 models model NNS cord-291786-66c8xta0 46 13 can can MD cord-291786-66c8xta0 46 14 not not RB cord-291786-66c8xta0 46 15 always always RB cord-291786-66c8xta0 46 16 show show VB cord-291786-66c8xta0 46 17 the the DT cord-291786-66c8xta0 46 18 nature nature NN cord-291786-66c8xta0 46 19 of of IN cord-291786-66c8xta0 46 20 the the DT cord-291786-66c8xta0 46 21 COVID-19 covid-19 NN cord-291786-66c8xta0 46 22 , , , cord-291786-66c8xta0 46 23 and and CC cord-291786-66c8xta0 46 24 we -PRON- PRP cord-291786-66c8xta0 46 25 need need VBP cord-291786-66c8xta0 46 26 to to TO cord-291786-66c8xta0 46 27 modify modify VB cord-291786-66c8xta0 46 28 the the DT cord-291786-66c8xta0 46 29 system system NN cord-291786-66c8xta0 46 30 . . . cord-291786-66c8xta0 47 1 On on IN cord-291786-66c8xta0 47 2 the the DT cord-291786-66c8xta0 47 3 other other JJ cord-291786-66c8xta0 47 4 hand hand NN cord-291786-66c8xta0 47 5 , , , cord-291786-66c8xta0 47 6 the the DT cord-291786-66c8xta0 47 7 nonlinear nonlinear JJ cord-291786-66c8xta0 47 8 dynamics dynamic NNS cord-291786-66c8xta0 47 9 of of IN cord-291786-66c8xta0 47 10 the the DT cord-291786-66c8xta0 47 11 system system NN cord-291786-66c8xta0 47 12 should should MD cord-291786-66c8xta0 47 13 be be VB cord-291786-66c8xta0 47 14 investigated investigate VBN cord-291786-66c8xta0 47 15 . . . cord-291786-66c8xta0 48 1 Thus thus RB cord-291786-66c8xta0 48 2 , , , cord-291786-66c8xta0 48 3 we -PRON- PRP cord-291786-66c8xta0 48 4 need need VBP cord-291786-66c8xta0 48 5 to to TO cord-291786-66c8xta0 48 6 get get VB cord-291786-66c8xta0 48 7 more more JJR cord-291786-66c8xta0 48 8 information information NN cord-291786-66c8xta0 48 9 on on IN cord-291786-66c8xta0 48 10 the the DT cord-291786-66c8xta0 48 11 dynamics dynamic NNS cord-291786-66c8xta0 48 12 of of IN cord-291786-66c8xta0 48 13 the the DT cord-291786-66c8xta0 48 14 epidemic epidemic NN cord-291786-66c8xta0 48 15 system system NN cord-291786-66c8xta0 48 16 . . . cord-291786-66c8xta0 49 1 The the DT cord-291786-66c8xta0 49 2 rest rest NN cord-291786-66c8xta0 49 3 of of IN cord-291786-66c8xta0 49 4 this this DT cord-291786-66c8xta0 49 5 paper paper NN cord-291786-66c8xta0 49 6 is be VBZ cord-291786-66c8xta0 49 7 organized organize VBN cord-291786-66c8xta0 49 8 as as IN cord-291786-66c8xta0 49 9 follows follow NNS cord-291786-66c8xta0 49 10 . . . cord-291786-66c8xta0 50 1 In in IN cord-291786-66c8xta0 50 2 Sect Sect NNP cord-291786-66c8xta0 50 3 . . . cord-291786-66c8xta0 51 1 2 2 LS cord-291786-66c8xta0 51 2 , , , cord-291786-66c8xta0 51 3 the the DT cord-291786-66c8xta0 51 4 modified modify VBN cord-291786-66c8xta0 51 5 SEIR seir NN cord-291786-66c8xta0 51 6 model model NN cord-291786-66c8xta0 51 7 is be VBZ cord-291786-66c8xta0 51 8 designed design VBN cord-291786-66c8xta0 51 9 and and CC cord-291786-66c8xta0 51 10 the the DT cord-291786-66c8xta0 51 11 descriptions description NNS cord-291786-66c8xta0 51 12 of of IN cord-291786-66c8xta0 51 13 the the DT cord-291786-66c8xta0 51 14 system system NN cord-291786-66c8xta0 51 15 are be VBP cord-291786-66c8xta0 51 16 presented present VBN cord-291786-66c8xta0 51 17 . . . cord-291786-66c8xta0 52 1 In in IN cord-291786-66c8xta0 52 2 Sect Sect NNP cord-291786-66c8xta0 52 3 . . . cord-291786-66c8xta0 53 1 3 3 LS cord-291786-66c8xta0 53 2 , , , cord-291786-66c8xta0 53 3 the the DT cord-291786-66c8xta0 53 4 SEIR SEIR NNP cord-291786-66c8xta0 53 5 model model NN cord-291786-66c8xta0 53 6 is be VBZ cord-291786-66c8xta0 53 7 applied apply VBN cord-291786-66c8xta0 53 8 to to IN cord-291786-66c8xta0 53 9 the the DT cord-291786-66c8xta0 53 10 COVID-19 COVID-19 NNP cord-291786-66c8xta0 53 11 data datum NNS cord-291786-66c8xta0 53 12 of of IN cord-291786-66c8xta0 53 13 Hubei Hubei NNP cord-291786-66c8xta0 53 14 province province NN cord-291786-66c8xta0 53 15 where where WRB cord-291786-66c8xta0 53 16 the the DT cord-291786-66c8xta0 53 17 PSO PSO NNP cord-291786-66c8xta0 53 18 algorithm algorithm NN cord-291786-66c8xta0 53 19 is be VBZ cord-291786-66c8xta0 53 20 introduced introduce VBN cord-291786-66c8xta0 53 21 to to TO cord-291786-66c8xta0 53 22 estimate estimate VB cord-291786-66c8xta0 53 23 the the DT cord-291786-66c8xta0 53 24 parameters parameter NNS cord-291786-66c8xta0 53 25 . . . cord-291786-66c8xta0 54 1 In in IN cord-291786-66c8xta0 54 2 Sect Sect NNP cord-291786-66c8xta0 54 3 . . . cord-291786-66c8xta0 55 1 4 4 LS cord-291786-66c8xta0 55 2 , , , cord-291786-66c8xta0 55 3 the the DT cord-291786-66c8xta0 55 4 seasonality seasonality NN cord-291786-66c8xta0 55 5 and and CC cord-291786-66c8xta0 55 6 stochastic stochastic JJ cord-291786-66c8xta0 55 7 infection infection NN cord-291786-66c8xta0 55 8 are be VBP cord-291786-66c8xta0 55 9 introduced introduce VBN cord-291786-66c8xta0 55 10 to to IN cord-291786-66c8xta0 55 11 the the DT cord-291786-66c8xta0 55 12 model model NN cord-291786-66c8xta0 55 13 and and CC cord-291786-66c8xta0 55 14 the the DT cord-291786-66c8xta0 55 15 dynamics dynamic NNS cord-291786-66c8xta0 55 16 of of IN cord-291786-66c8xta0 55 17 the the DT cord-291786-66c8xta0 55 18 system system NN cord-291786-66c8xta0 55 19 is be VBZ cord-291786-66c8xta0 55 20 investigated investigate VBN cord-291786-66c8xta0 55 21 . . . cord-291786-66c8xta0 56 1 In in IN cord-291786-66c8xta0 56 2 Sect Sect NNP cord-291786-66c8xta0 56 3 . . . cord-291786-66c8xta0 57 1 5 5 LS cord-291786-66c8xta0 57 2 , , , cord-291786-66c8xta0 57 3 the the DT cord-291786-66c8xta0 57 4 structure structure NN cord-291786-66c8xta0 57 5 , , , cord-291786-66c8xta0 57 6 parameters parameter NNS cord-291786-66c8xta0 57 7 on on IN cord-291786-66c8xta0 57 8 the the DT cord-291786-66c8xta0 57 9 dynamics dynamic NNS cord-291786-66c8xta0 57 10 of of IN cord-291786-66c8xta0 57 11 the the DT cord-291786-66c8xta0 57 12 system system NN cord-291786-66c8xta0 57 13 and and CC cord-291786-66c8xta0 57 14 how how WRB cord-291786-66c8xta0 57 15 to to TO cord-291786-66c8xta0 57 16 control control VB cord-291786-66c8xta0 57 17 the the DT cord-291786-66c8xta0 57 18 epidemic epidemic NN cord-291786-66c8xta0 57 19 of of IN cord-291786-66c8xta0 57 20 the the DT cord-291786-66c8xta0 57 21 system system NN cord-291786-66c8xta0 57 22 are be VBP cord-291786-66c8xta0 57 23 discussed discuss VBN cord-291786-66c8xta0 57 24 . . . cord-291786-66c8xta0 58 1 Section section NN cord-291786-66c8xta0 58 2 6 6 CD cord-291786-66c8xta0 58 3 is be VBZ cord-291786-66c8xta0 58 4 the the DT cord-291786-66c8xta0 58 5 summary summary NN cord-291786-66c8xta0 58 6 of of IN cord-291786-66c8xta0 58 7 the the DT cord-291786-66c8xta0 58 8 analysis analysis NN cord-291786-66c8xta0 58 9 . . . cord-291786-66c8xta0 59 1 The the DT cord-291786-66c8xta0 59 2 classical classical JJ cord-291786-66c8xta0 59 3 SEIR seir NN cord-291786-66c8xta0 59 4 model model NN cord-291786-66c8xta0 59 5 has have VBZ cord-291786-66c8xta0 59 6 four four CD cord-291786-66c8xta0 59 7 elements element NNS cord-291786-66c8xta0 59 8 which which WDT cord-291786-66c8xta0 59 9 are be VBP cord-291786-66c8xta0 59 10 S S NNP cord-291786-66c8xta0 59 11 ( ( -LRB- cord-291786-66c8xta0 59 12 susceptible susceptible JJ cord-291786-66c8xta0 59 13 ) ) -RRB- cord-291786-66c8xta0 59 14 , , , cord-291786-66c8xta0 59 15 E E NNP cord-291786-66c8xta0 59 16 ( ( -LRB- cord-291786-66c8xta0 59 17 exposed expose VBN cord-291786-66c8xta0 59 18 ) ) -RRB- cord-291786-66c8xta0 59 19 , , , cord-291786-66c8xta0 59 20 I -PRON- PRP cord-291786-66c8xta0 59 21 ( ( -LRB- cord-291786-66c8xta0 59 22 infectious infectious JJ cord-291786-66c8xta0 59 23 ) ) -RRB- cord-291786-66c8xta0 59 24 and and CC cord-291786-66c8xta0 59 25 R r NN cord-291786-66c8xta0 59 26 ( ( -LRB- cord-291786-66c8xta0 59 27 recovered recover VBN cord-291786-66c8xta0 59 28 ) ) -RRB- cord-291786-66c8xta0 59 29 . . . cord-291786-66c8xta0 60 1 Thus thus RB cord-291786-66c8xta0 60 2 , , , cord-291786-66c8xta0 60 3 N N NNP cord-291786-66c8xta0 60 4 ¼ ¼ NN cord-291786-66c8xta0 60 5 S s NN cord-291786-66c8xta0 60 6 þ þ NN cord-291786-66c8xta0 60 7 E e NN cord-291786-66c8xta0 60 8 þ þ NN cord-291786-66c8xta0 60 9 I i NN cord-291786-66c8xta0 60 10 þ þ NN cord-291786-66c8xta0 60 11 R r NN cord-291786-66c8xta0 60 12 means mean VBZ cord-291786-66c8xta0 60 13 the the DT cord-291786-66c8xta0 60 14 total total JJ cord-291786-66c8xta0 60 15 number number NN cord-291786-66c8xta0 60 16 of of IN cord-291786-66c8xta0 60 17 people people NNS cord-291786-66c8xta0 60 18 . . . cord-291786-66c8xta0 61 1 The the DT cord-291786-66c8xta0 61 2 basic basic JJ cord-291786-66c8xta0 61 3 hypothesis hypothesis NN cord-291786-66c8xta0 61 4 of of IN cord-291786-66c8xta0 61 5 the the DT cord-291786-66c8xta0 61 6 SEIR SEIR NNP cord-291786-66c8xta0 61 7 model model NN cord-291786-66c8xta0 61 8 is be VBZ cord-291786-66c8xta0 61 9 that that IN cord-291786-66c8xta0 61 10 all all PDT cord-291786-66c8xta0 61 11 the the DT cord-291786-66c8xta0 61 12 individuals individual NNS cord-291786-66c8xta0 61 13 in in IN cord-291786-66c8xta0 61 14 the the DT cord-291786-66c8xta0 61 15 model model NN cord-291786-66c8xta0 61 16 will will MD cord-291786-66c8xta0 61 17 have have VB cord-291786-66c8xta0 61 18 the the DT cord-291786-66c8xta0 61 19 four four CD cord-291786-66c8xta0 61 20 roles role NNS cord-291786-66c8xta0 61 21 as as IN cord-291786-66c8xta0 61 22 time time NN cord-291786-66c8xta0 61 23 goes go VBZ cord-291786-66c8xta0 61 24 on on RP cord-291786-66c8xta0 61 25 . . . cord-291786-66c8xta0 62 1 The the DT cord-291786-66c8xta0 62 2 SEIR SEIR NNP cord-291786-66c8xta0 62 3 model model NN cord-291786-66c8xta0 62 4 has have VBZ cord-291786-66c8xta0 62 5 some some DT cord-291786-66c8xta0 62 6 limitations limitation NNS cord-291786-66c8xta0 62 7 for for IN cord-291786-66c8xta0 62 8 the the DT cord-291786-66c8xta0 62 9 real real JJ cord-291786-66c8xta0 62 10 situations situation NNS cord-291786-66c8xta0 62 11 , , , cord-291786-66c8xta0 62 12 but but CC cord-291786-66c8xta0 62 13 it -PRON- PRP cord-291786-66c8xta0 62 14 provides provide VBZ cord-291786-66c8xta0 62 15 a a DT cord-291786-66c8xta0 62 16 basic basic JJ cord-291786-66c8xta0 62 17 model model NN cord-291786-66c8xta0 62 18 for for IN cord-291786-66c8xta0 62 19 the the DT cord-291786-66c8xta0 62 20 research research NN cord-291786-66c8xta0 62 21 of of IN cord-291786-66c8xta0 62 22 different different JJ cord-291786-66c8xta0 62 23 kinds kind NNS cord-291786-66c8xta0 62 24 of of IN cord-291786-66c8xta0 62 25 epidemic epidemic NN cord-291786-66c8xta0 62 26 . . . cord-291786-66c8xta0 63 1 Based base VBN cord-291786-66c8xta0 63 2 on on IN cord-291786-66c8xta0 63 3 the the DT cord-291786-66c8xta0 63 4 basic basic JJ cord-291786-66c8xta0 63 5 SEIR seir NN cord-291786-66c8xta0 63 6 model model NN cord-291786-66c8xta0 63 7 , , , cord-291786-66c8xta0 63 8 we -PRON- PRP cord-291786-66c8xta0 63 9 proposed propose VBD cord-291786-66c8xta0 63 10 a a DT cord-291786-66c8xta0 63 11 new new JJ cord-291786-66c8xta0 63 12 model model NN cord-291786-66c8xta0 63 13 which which WDT cord-291786-66c8xta0 63 14 is be VBZ cord-291786-66c8xta0 63 15 denoted denote VBN cord-291786-66c8xta0 63 16 by by IN cord-291786-66c8xta0 63 17 where where WRB cord-291786-66c8xta0 63 18 S S NNP cord-291786-66c8xta0 63 19 , , , cord-291786-66c8xta0 63 20 E E NNP cord-291786-66c8xta0 63 21 , , , cord-291786-66c8xta0 63 22 I -PRON- PRP cord-291786-66c8xta0 63 23 1 1 CD cord-291786-66c8xta0 63 24 , , , cord-291786-66c8xta0 63 25 I -PRON- PRP cord-291786-66c8xta0 63 26 2 2 CD cord-291786-66c8xta0 63 27 , , , cord-291786-66c8xta0 63 28 R r NN cord-291786-66c8xta0 63 29 , , , cord-291786-66c8xta0 63 30 H H NNP cord-291786-66c8xta0 63 31 and and CC cord-291786-66c8xta0 63 32 Q Q NNP cord-291786-66c8xta0 63 33 are be VBP cord-291786-66c8xta0 63 34 the the DT cord-291786-66c8xta0 63 35 system system NN cord-291786-66c8xta0 63 36 variables variable NNS cord-291786-66c8xta0 63 37 . . . cord-291786-66c8xta0 64 1 The the DT cord-291786-66c8xta0 64 2 descriptions description NNS cord-291786-66c8xta0 64 3 of of IN cord-291786-66c8xta0 64 4 those those DT cord-291786-66c8xta0 64 5 variables variable NNS cord-291786-66c8xta0 64 6 are be VBP cord-291786-66c8xta0 64 7 presented present VBN cord-291786-66c8xta0 64 8 in in IN cord-291786-66c8xta0 64 9 Table Table NNP cord-291786-66c8xta0 64 10 1 1 CD cord-291786-66c8xta0 64 11 . . . cord-291786-66c8xta0 65 1 The the DT cord-291786-66c8xta0 65 2 description description NN cord-291786-66c8xta0 65 3 of of IN cord-291786-66c8xta0 65 4 the the DT cord-291786-66c8xta0 65 5 system system NN cord-291786-66c8xta0 65 6 parameters parameter NNS cord-291786-66c8xta0 65 7 is be VBZ cord-291786-66c8xta0 65 8 illustrated illustrate VBN cord-291786-66c8xta0 65 9 in in IN cord-291786-66c8xta0 65 10 Table Table NNP cord-291786-66c8xta0 65 11 2 2 CD cord-291786-66c8xta0 65 12 , , , cord-291786-66c8xta0 65 13 and and CC cord-291786-66c8xta0 65 14 the the DT cord-291786-66c8xta0 65 15 relationship relationship NN cord-291786-66c8xta0 65 16 between between IN cord-291786-66c8xta0 65 17 different different JJ cord-291786-66c8xta0 65 18 variables variable NNS cord-291786-66c8xta0 65 19 is be VBZ cord-291786-66c8xta0 65 20 shown show VBN cord-291786-66c8xta0 65 21 in in IN cord-291786-66c8xta0 65 22 Fig Fig NNP cord-291786-66c8xta0 65 23 . . . cord-291786-66c8xta0 66 1 1 1 LS cord-291786-66c8xta0 66 2 . . . cord-291786-66c8xta0 67 1 In in IN cord-291786-66c8xta0 67 2 this this DT cord-291786-66c8xta0 67 3 model model NN cord-291786-66c8xta0 67 4 , , , cord-291786-66c8xta0 67 5 the the DT cord-291786-66c8xta0 67 6 infectious infectious JJ cord-291786-66c8xta0 67 7 class class NN cord-291786-66c8xta0 67 8 is be VBZ cord-291786-66c8xta0 67 9 divided divide VBN cord-291786-66c8xta0 67 10 into into IN cord-291786-66c8xta0 67 11 two two CD cord-291786-66c8xta0 67 12 parts part NNS cord-291786-66c8xta0 67 13 , , , cord-291786-66c8xta0 67 14 I -PRON- PRP cord-291786-66c8xta0 67 15 1 1 CD cord-291786-66c8xta0 67 16 and and CC cord-291786-66c8xta0 67 17 I -PRON- PRP cord-291786-66c8xta0 67 18 2 2 CD cord-291786-66c8xta0 67 19 . . . cord-291786-66c8xta0 68 1 Meanwhile meanwhile RB cord-291786-66c8xta0 68 2 , , , cord-291786-66c8xta0 68 3 we -PRON- PRP cord-291786-66c8xta0 68 4 consider consider VBP cord-291786-66c8xta0 68 5 the the DT cord-291786-66c8xta0 68 6 quarantined quarantine VBN cord-291786-66c8xta0 68 7 class class NN cord-291786-66c8xta0 68 8 and and CC cord-291786-66c8xta0 68 9 hospitalized hospitalize VBN cord-291786-66c8xta0 68 10 class class NN cord-291786-66c8xta0 68 11 in in IN cord-291786-66c8xta0 68 12 the the DT cord-291786-66c8xta0 68 13 model model NN cord-291786-66c8xta0 68 14 according accord VBG cord-291786-66c8xta0 68 15 to to IN cord-291786-66c8xta0 68 16 the the DT cord-291786-66c8xta0 68 17 real real JJ cord-291786-66c8xta0 68 18 situation situation NN cord-291786-66c8xta0 68 19 . . . cord-291786-66c8xta0 69 1 For for IN cord-291786-66c8xta0 69 2 example example NN cord-291786-66c8xta0 69 3 , , , cord-291786-66c8xta0 69 4 if if IN cord-291786-66c8xta0 69 5 one one CD cord-291786-66c8xta0 69 6 got get VBD cord-291786-66c8xta0 69 7 coronavirus coronavirus NN cord-291786-66c8xta0 69 8 - - HYPH cord-291786-66c8xta0 69 9 like like IN cord-291786-66c8xta0 69 10 Obviously obviously RB cord-291786-66c8xta0 69 11 , , , cord-291786-66c8xta0 69 12 as as IN cord-291786-66c8xta0 69 13 shown show VBN cord-291786-66c8xta0 69 14 in in IN cord-291786-66c8xta0 69 15 Fig Fig NNP cord-291786-66c8xta0 69 16 . . . cord-291786-66c8xta0 70 1 1 1 LS cord-291786-66c8xta0 70 2 , , , cord-291786-66c8xta0 70 3 we -PRON- PRP cord-291786-66c8xta0 70 4 consider consider VBP cord-291786-66c8xta0 70 5 two two CD cord-291786-66c8xta0 70 6 main main JJ cord-291786-66c8xta0 70 7 channels channel NNS cord-291786-66c8xta0 70 8 in in IN cord-291786-66c8xta0 70 9 the the DT cord-291786-66c8xta0 70 10 proposed propose VBN cord-291786-66c8xta0 70 11 model model NN cord-291786-66c8xta0 70 12 . . . cord-291786-66c8xta0 71 1 The the DT cord-291786-66c8xta0 71 2 first first JJ cord-291786-66c8xta0 71 3 one one NN cord-291786-66c8xta0 71 4 goes go VBZ cord-291786-66c8xta0 71 5 to to IN cord-291786-66c8xta0 71 6 S S NNP cord-291786-66c8xta0 71 7 ! ! . cord-291786-66c8xta0 72 1 E E NNP cord-291786-66c8xta0 72 2 ! ! . cord-291786-66c8xta0 73 1 I -PRON- PRP cord-291786-66c8xta0 73 2 1 1 CD cord-291786-66c8xta0 73 3 ! ! . cord-291786-66c8xta0 74 1 R r NN cord-291786-66c8xta0 74 2 , , , cord-291786-66c8xta0 74 3 and and CC cord-291786-66c8xta0 74 4 the the DT cord-291786-66c8xta0 74 5 second second JJ cord-291786-66c8xta0 74 6 channel channel NN cord-291786-66c8xta0 74 7 goes go VBZ cord-291786-66c8xta0 74 8 to to IN cord-291786-66c8xta0 74 9 S S NNP cord-291786-66c8xta0 74 10 ! ! . cord-291786-66c8xta0 75 1 Q Q NNP cord-291786-66c8xta0 75 2 ! ! . cord-291786-66c8xta0 76 1 I -PRON- PRP cord-291786-66c8xta0 76 2 2 2 CD cord-291786-66c8xta0 76 3 ! ! . cord-291786-66c8xta0 77 1 H h NN cord-291786-66c8xta0 77 2 ! ! . cord-291786-66c8xta0 78 1 R. R. NNP cord-291786-66c8xta0 79 1 The the DT cord-291786-66c8xta0 79 2 first first JJ cord-291786-66c8xta0 79 3 case case NN cord-291786-66c8xta0 79 4 shows show VBZ cord-291786-66c8xta0 79 5 the the DT cord-291786-66c8xta0 79 6 natural natural JJ cord-291786-66c8xta0 79 7 process process NN cord-291786-66c8xta0 79 8 of of IN cord-291786-66c8xta0 79 9 the the DT cord-291786-66c8xta0 79 10 epidemic epidemic NN cord-291786-66c8xta0 79 11 , , , cord-291786-66c8xta0 79 12 and and CC cord-291786-66c8xta0 79 13 it -PRON- PRP cord-291786-66c8xta0 79 14 is be VBZ cord-291786-66c8xta0 79 15 a a DT cord-291786-66c8xta0 79 16 typical typical JJ cord-291786-66c8xta0 79 17 SEIR seir NN cord-291786-66c8xta0 79 18 model model NN cord-291786-66c8xta0 79 19 . . . cord-291786-66c8xta0 80 1 The the DT cord-291786-66c8xta0 80 2 second second JJ cord-291786-66c8xta0 80 3 channel channel NN cord-291786-66c8xta0 80 4 considers consider VBZ cord-291786-66c8xta0 80 5 the the DT cord-291786-66c8xta0 80 6 control control NN cord-291786-66c8xta0 80 7 from from IN cord-291786-66c8xta0 80 8 the the DT cord-291786-66c8xta0 80 9 government government NN cord-291786-66c8xta0 80 10 including include VBG cord-291786-66c8xta0 80 11 the the DT cord-291786-66c8xta0 80 12 quarantine quarantine NN cord-291786-66c8xta0 80 13 and and CC cord-291786-66c8xta0 80 14 hospital hospital NN cord-291786-66c8xta0 80 15 . . . cord-291786-66c8xta0 81 1 As as IN cord-291786-66c8xta0 81 2 a a DT cord-291786-66c8xta0 81 3 result result NN cord-291786-66c8xta0 81 4 , , , cord-291786-66c8xta0 81 5 the the DT cord-291786-66c8xta0 81 6 designed design VBN cord-291786-66c8xta0 81 7 model model NN cord-291786-66c8xta0 81 8 is be VBZ cord-291786-66c8xta0 81 9 an an DT cord-291786-66c8xta0 81 10 improved improved JJ cord-291786-66c8xta0 81 11 version version NN cord-291786-66c8xta0 81 12 of of IN cord-291786-66c8xta0 81 13 the the DT cord-291786-66c8xta0 81 14 SEIR SEIR NNP cord-291786-66c8xta0 81 15 model model NN cord-291786-66c8xta0 81 16 . . . cord-291786-66c8xta0 82 1 If if IN cord-291786-66c8xta0 82 2 there there EX cord-291786-66c8xta0 82 3 is be VBZ cord-291786-66c8xta0 82 4 no no DT cord-291786-66c8xta0 82 5 quarantine quarantine NN cord-291786-66c8xta0 82 6 ( ( -LRB- cord-291786-66c8xta0 82 7 q q NNP cord-291786-66c8xta0 82 8 2 2 CD cord-291786-66c8xta0 82 9 ¼ ¼ CD cord-291786-66c8xta0 82 10 0 0 CD cord-291786-66c8xta0 82 11 ) ) -RRB- cord-291786-66c8xta0 82 12 , , , cord-291786-66c8xta0 82 13 hospital hospital NN cord-291786-66c8xta0 82 14 treatment treatment NN cord-291786-66c8xta0 82 15 / / SYM cord-291786-66c8xta0 82 16 ¼ ¼ NNP cord-291786-66c8xta0 82 17 0 0 CD cord-291786-66c8xta0 82 18 and and CC cord-291786-66c8xta0 82 19 the the DT cord-291786-66c8xta0 82 20 recovered recover VBN cord-291786-66c8xta0 82 21 is be VBZ cord-291786-66c8xta0 82 22 immune immune JJ cord-291786-66c8xta0 82 23 to to IN cord-291786-66c8xta0 82 24 the the DT cord-291786-66c8xta0 82 25 virus virus NN cord-291786-66c8xta0 82 26 ( ( -LRB- cord-291786-66c8xta0 82 27 a a DT cord-291786-66c8xta0 82 28 ¼ ¼ CD cord-291786-66c8xta0 82 29 0 0 CD cord-291786-66c8xta0 82 30 ) ) -RRB- cord-291786-66c8xta0 82 31 , , , cord-291786-66c8xta0 82 32 the the DT cord-291786-66c8xta0 82 33 model model NN cord-291786-66c8xta0 82 34 becomes become VBZ cord-291786-66c8xta0 82 35 to to IN cord-291786-66c8xta0 82 36 the the DT cord-291786-66c8xta0 82 37 classical classical JJ cord-291786-66c8xta0 82 38 SEIR SEIR NNP cord-291786-66c8xta0 82 39 model model NN cord-291786-66c8xta0 82 40 . . . cord-291786-66c8xta0 83 1 However however RB cord-291786-66c8xta0 83 2 , , , cord-291786-66c8xta0 83 3 there there EX cord-291786-66c8xta0 83 4 are be VBP cord-291786-66c8xta0 83 5 always always RB cord-291786-66c8xta0 83 6 quarantine quarantine NN cord-291786-66c8xta0 83 7 and and CC cord-291786-66c8xta0 83 8 hospital hospital NN cord-291786-66c8xta0 83 9 treatment treatment NN cord-291786-66c8xta0 83 10 . . . cord-291786-66c8xta0 84 1 Meanwhile meanwhile RB cord-291786-66c8xta0 84 2 , , , cord-291786-66c8xta0 84 3 there there EX cord-291786-66c8xta0 84 4 is be VBZ cord-291786-66c8xta0 84 5 no no DT cord-291786-66c8xta0 84 6 evidence evidence NN cord-291786-66c8xta0 84 7 that that IN cord-291786-66c8xta0 84 8 the the DT cord-291786-66c8xta0 84 9 recovered recover VBN cord-291786-66c8xta0 84 10 is be VBZ cord-291786-66c8xta0 84 11 immune immune JJ cord-291786-66c8xta0 84 12 to to IN cord-291786-66c8xta0 84 13 the the DT cord-291786-66c8xta0 84 14 COVID-19 covid-19 NN cord-291786-66c8xta0 84 15 . . . cord-291786-66c8xta0 85 1 Thus thus RB cord-291786-66c8xta0 85 2 , , , cord-291786-66c8xta0 85 3 we -PRON- PRP cord-291786-66c8xta0 85 4 need need VBP cord-291786-66c8xta0 85 5 to to TO cord-291786-66c8xta0 85 6 considered consider VBN cord-291786-66c8xta0 85 7 these these DT cord-291786-66c8xta0 85 8 factors factor NNS cord-291786-66c8xta0 85 9 in in IN cord-291786-66c8xta0 85 10 the the DT cord-291786-66c8xta0 85 11 model model NN cord-291786-66c8xta0 85 12 . . . cord-291786-66c8xta0 86 1 In in IN cord-291786-66c8xta0 86 2 this this DT cord-291786-66c8xta0 86 3 paper paper NN cord-291786-66c8xta0 86 4 , , , cord-291786-66c8xta0 86 5 we -PRON- PRP cord-291786-66c8xta0 86 6 have have VBP cord-291786-66c8xta0 86 7 N n CD cord-291786-66c8xta0 86 8 6 6 CD cord-291786-66c8xta0 86 9 ¼ ¼ NN cord-291786-66c8xta0 86 10 S s NN cord-291786-66c8xta0 87 1 þ þ NN cord-291786-66c8xta0 87 2 E e NN cord-291786-66c8xta0 87 3 þ þ NNP cord-291786-66c8xta0 88 1 I -PRON- PRP cord-291786-66c8xta0 88 2 1 1 CD cord-291786-66c8xta0 88 3 þ þ CD cord-291786-66c8xta0 89 1 I -PRON- PRP cord-291786-66c8xta0 89 2 2 2 CD cord-291786-66c8xta0 89 3 þ þ NN cord-291786-66c8xta0 89 4 R r NN cord-291786-66c8xta0 89 5 þ þ NN cord-291786-66c8xta0 89 6 Q q NN cord-291786-66c8xta0 89 7 þ þ NN cord-291786-66c8xta0 89 8 H h NN cord-291786-66c8xta0 89 9 according accord VBG cord-291786-66c8xta0 89 10 to to IN cord-291786-66c8xta0 89 11 Eq Eq NNP cord-291786-66c8xta0 89 12 . . . cord-291786-66c8xta0 90 1 ( ( -LRB- cord-291786-66c8xta0 90 2 1 1 LS cord-291786-66c8xta0 90 3 ) ) -RRB- cord-291786-66c8xta0 90 4 since since IN cord-291786-66c8xta0 90 5 there there EX cord-291786-66c8xta0 90 6 is be VBZ cord-291786-66c8xta0 90 7 an an DT cord-291786-66c8xta0 90 8 external external JJ cord-291786-66c8xta0 90 9 input input NN cord-291786-66c8xta0 91 1 K. K. NNP cord-291786-66c8xta0 92 1 Obviously obviously RB cord-291786-66c8xta0 92 2 , , , cord-291786-66c8xta0 92 3 N N NNP cord-291786-66c8xta0 92 4 is be VBZ cord-291786-66c8xta0 92 5 not not RB cord-291786-66c8xta0 92 6 a a DT cord-291786-66c8xta0 92 7 constant constant JJ cord-291786-66c8xta0 92 8 and and CC cord-291786-66c8xta0 92 9 it -PRON- PRP cord-291786-66c8xta0 92 10 varies vary VBZ cord-291786-66c8xta0 92 11 over over IN cord-291786-66c8xta0 92 12 time time NN cord-291786-66c8xta0 92 13 when when WRB cord-291786-66c8xta0 92 14 K K NNP cord-291786-66c8xta0 92 15 6 6 CD cord-291786-66c8xta0 92 16 ¼ ¼ CD cord-291786-66c8xta0 92 17 0 0 CD cord-291786-66c8xta0 92 18 . . . cord-291786-66c8xta0 93 1 Since since IN cord-291786-66c8xta0 93 2 there there EX cord-291786-66c8xta0 93 3 are be VBP cord-291786-66c8xta0 93 4 a a DT cord-291786-66c8xta0 93 5 large large JJ cord-291786-66c8xta0 93 6 population population NN cord-291786-66c8xta0 93 7 under under IN cord-291786-66c8xta0 93 8 voluntary voluntary JJ cord-291786-66c8xta0 93 9 home home NN cord-291786-66c8xta0 93 10 quarantine quarantine NN cord-291786-66c8xta0 93 11 . . . cord-291786-66c8xta0 94 1 Thus thus RB cord-291786-66c8xta0 94 2 , , , cord-291786-66c8xta0 94 3 for for IN cord-291786-66c8xta0 94 4 a a DT cord-291786-66c8xta0 94 5 chosen choose VBN cord-291786-66c8xta0 94 6 place place NN cord-291786-66c8xta0 94 7 , , , cord-291786-66c8xta0 94 8 N N NNP cord-291786-66c8xta0 94 9 is be VBZ cord-291786-66c8xta0 94 10 not not RB cord-291786-66c8xta0 94 11 the the DT cord-291786-66c8xta0 94 12 total total JJ cord-291786-66c8xta0 94 13 population population NN cord-291786-66c8xta0 94 14 of of IN cord-291786-66c8xta0 94 15 that that DT cord-291786-66c8xta0 94 16 place place NN cord-291786-66c8xta0 94 17 , , , cord-291786-66c8xta0 94 18 but but CC cord-291786-66c8xta0 94 19 it -PRON- PRP cord-291786-66c8xta0 94 20 can can MD cord-291786-66c8xta0 94 21 be be VB cord-291786-66c8xta0 94 22 estimated estimate VBN cord-291786-66c8xta0 94 23 by by IN cord-291786-66c8xta0 94 24 adding add VBG cord-291786-66c8xta0 94 25 the the DT cord-291786-66c8xta0 94 26 final final JJ cord-291786-66c8xta0 94 27 number number NN cord-291786-66c8xta0 94 28 of of IN cord-291786-66c8xta0 94 29 recoveries recovery NNS cord-291786-66c8xta0 94 30 and and CC cord-291786-66c8xta0 94 31 deaths death NNS cord-291786-66c8xta0 94 32 . . . cord-291786-66c8xta0 95 1 3 3 CD cord-291786-66c8xta0 95 2 Estimation estimation NN cord-291786-66c8xta0 95 3 of of IN cord-291786-66c8xta0 95 4 the the DT cord-291786-66c8xta0 95 5 model model NN cord-291786-66c8xta0 95 6 parameters parameter VBZ cord-291786-66c8xta0 95 7 Particle particle NN cord-291786-66c8xta0 95 8 swarm swarm NN cord-291786-66c8xta0 95 9 optimization optimization NN cord-291786-66c8xta0 95 10 ( ( -LRB- cord-291786-66c8xta0 95 11 PSO PSO NNP cord-291786-66c8xta0 95 12 ) ) -RRB- cord-291786-66c8xta0 95 13 algorithm algorithm NN cord-291786-66c8xta0 95 14 is be VBZ cord-291786-66c8xta0 95 15 a a DT cord-291786-66c8xta0 95 16 famous famous JJ cord-291786-66c8xta0 95 17 population population NN cord-291786-66c8xta0 95 18 - - HYPH cord-291786-66c8xta0 95 19 based base VBN cord-291786-66c8xta0 95 20 stochastic stochastic JJ cord-291786-66c8xta0 95 21 optimization optimization NN cord-291786-66c8xta0 95 22 algorithm algorithm NN cord-291786-66c8xta0 95 23 motivated motivate VBN cord-291786-66c8xta0 95 24 by by IN cord-291786-66c8xta0 95 25 intelligent intelligent JJ cord-291786-66c8xta0 95 26 collective collective JJ cord-291786-66c8xta0 95 27 behavior behavior NN cord-291786-66c8xta0 95 28 , , , cord-291786-66c8xta0 95 29 such such JJ cord-291786-66c8xta0 95 30 as as IN cord-291786-66c8xta0 95 31 the the DT cord-291786-66c8xta0 95 32 foraging foraging NN cord-291786-66c8xta0 95 33 process process NN cord-291786-66c8xta0 95 34 of of IN cord-291786-66c8xta0 95 35 bird bird NN cord-291786-66c8xta0 95 36 group group NN cord-291786-66c8xta0 95 37 [ [ -LRB- cord-291786-66c8xta0 95 38 27 27 CD cord-291786-66c8xta0 95 39 ] ] -RRB- cord-291786-66c8xta0 95 40 . . . cord-291786-66c8xta0 96 1 In in IN cord-291786-66c8xta0 96 2 PSO PSO NNP cord-291786-66c8xta0 96 3 algorithm algorithm NN cord-291786-66c8xta0 96 4 , , , cord-291786-66c8xta0 96 5 each each DT cord-291786-66c8xta0 96 6 particle particle NN cord-291786-66c8xta0 96 7 represents represent VBZ cord-291786-66c8xta0 96 8 a a DT cord-291786-66c8xta0 96 9 bird bird NN cord-291786-66c8xta0 96 10 , , , cord-291786-66c8xta0 96 11 and and CC cord-291786-66c8xta0 96 12 the the DT cord-291786-66c8xta0 96 13 algorithm algorithm NN cord-291786-66c8xta0 96 14 starts start VBZ cord-291786-66c8xta0 96 15 with with IN cord-291786-66c8xta0 96 16 a a DT cord-291786-66c8xta0 96 17 random random JJ cord-291786-66c8xta0 96 18 initialization initialization NN cord-291786-66c8xta0 96 19 of of IN cord-291786-66c8xta0 96 20 the the DT cord-291786-66c8xta0 96 21 particle particle NN cord-291786-66c8xta0 96 22 locations location NNS cord-291786-66c8xta0 96 23 . . . cord-291786-66c8xta0 97 1 For for IN cord-291786-66c8xta0 97 2 one one CD cord-291786-66c8xta0 97 3 iteration iteration NN cord-291786-66c8xta0 97 4 , , , cord-291786-66c8xta0 97 5 each each DT cord-291786-66c8xta0 97 6 particle particle NN cord-291786-66c8xta0 97 7 keeps keep VBZ cord-291786-66c8xta0 97 8 track track NN cord-291786-66c8xta0 97 9 of of IN cord-291786-66c8xta0 97 10 its -PRON- PRP$ cord-291786-66c8xta0 97 11 own own JJ cord-291786-66c8xta0 97 12 best good JJS cord-291786-66c8xta0 97 13 position position NN cord-291786-66c8xta0 97 14 and and CC cord-291786-66c8xta0 97 15 the the DT cord-291786-66c8xta0 97 16 population population NN cord-291786-66c8xta0 97 17 's 's POS cord-291786-66c8xta0 97 18 best good JJS cord-291786-66c8xta0 97 19 position position NN cord-291786-66c8xta0 97 20 to to TO cord-291786-66c8xta0 97 21 update update VB cord-291786-66c8xta0 97 22 its -PRON- PRP$ cord-291786-66c8xta0 97 23 position position NN cord-291786-66c8xta0 97 24 and and CC cord-291786-66c8xta0 97 25 velocity velocity NN cord-291786-66c8xta0 97 26 . . . cord-291786-66c8xta0 98 1 Considering consider VBG cord-291786-66c8xta0 98 2 a a DT cord-291786-66c8xta0 98 3 one one CD cord-291786-66c8xta0 98 4 - - HYPH cord-291786-66c8xta0 98 5 dimensional dimensional JJ cord-291786-66c8xta0 98 6 optimization optimization NN cord-291786-66c8xta0 98 7 problem problem NN cord-291786-66c8xta0 98 8 , , , cord-291786-66c8xta0 98 9 the the DT cord-291786-66c8xta0 98 10 velocity velocity NN cord-291786-66c8xta0 98 11 and and CC cord-291786-66c8xta0 98 12 the the DT cord-291786-66c8xta0 98 13 position position NN cord-291786-66c8xta0 98 14 of of IN cord-291786-66c8xta0 98 15 the the DT cord-291786-66c8xta0 98 16 particle particle NN cord-291786-66c8xta0 98 17 i i PRP cord-291786-66c8xta0 98 18 is be VBZ cord-291786-66c8xta0 98 19 defined define VBN cord-291786-66c8xta0 98 20 by by IN cord-291786-66c8xta0 98 21 and and CC cord-291786-66c8xta0 98 22 where where WRB cord-291786-66c8xta0 98 23 V v NN cord-291786-66c8xta0 99 1 i i PRP cord-291786-66c8xta0 99 2 ðtÞ ðtÞ NNP cord-291786-66c8xta0 99 3 and and CC cord-291786-66c8xta0 99 4 X X NNP cord-291786-66c8xta0 99 5 i i PRP cord-291786-66c8xta0 99 6 ðtÞ ðtþ NN cord-291786-66c8xta0 99 7 are be VBP cord-291786-66c8xta0 99 8 velocity velocity NN cord-291786-66c8xta0 99 9 and and CC cord-291786-66c8xta0 99 10 position position NN cord-291786-66c8xta0 99 11 of of IN cord-291786-66c8xta0 99 12 the the DT cord-291786-66c8xta0 99 13 particle particle NN cord-291786-66c8xta0 100 1 i i PRP cord-291786-66c8xta0 100 2 at at IN cord-291786-66c8xta0 100 3 the the DT cord-291786-66c8xta0 100 4 t t NN cord-291786-66c8xta0 100 5 - - HYPH cord-291786-66c8xta0 100 6 th th XX cord-291786-66c8xta0 100 7 iteration iteration NN cord-291786-66c8xta0 100 8 , , , cord-291786-66c8xta0 100 9 respectively respectively RB cord-291786-66c8xta0 100 10 . . . cord-291786-66c8xta0 101 1 c c NNP cord-291786-66c8xta0 101 2 1 1 CD cord-291786-66c8xta0 101 3 and and CC cord-291786-66c8xta0 101 4 c c NN cord-291786-66c8xta0 101 5 2 2 CD cord-291786-66c8xta0 101 6 are be VBP cord-291786-66c8xta0 101 7 The the DT cord-291786-66c8xta0 101 8 contact contact NN cord-291786-66c8xta0 101 9 and and CC cord-291786-66c8xta0 101 10 infection infection NN cord-291786-66c8xta0 101 11 rate rate NN cord-291786-66c8xta0 101 12 of of IN cord-291786-66c8xta0 101 13 transmission transmission NN cord-291786-66c8xta0 101 14 per per IN cord-291786-66c8xta0 101 15 contact contact NN cord-291786-66c8xta0 101 16 from from IN cord-291786-66c8xta0 101 17 infected infected JJ cord-291786-66c8xta0 101 18 class class NN cord-291786-66c8xta0 101 19 v v NN cord-291786-66c8xta0 101 20 Probability probability NN cord-291786-66c8xta0 101 21 of of IN cord-291786-66c8xta0 101 22 transmission transmission NN cord-291786-66c8xta0 101 23 per per IN cord-291786-66c8xta0 101 24 contact contact NN cord-291786-66c8xta0 101 25 from from IN cord-291786-66c8xta0 101 26 exposed expose VBN cord-291786-66c8xta0 101 27 individuals individual NNS cord-291786-66c8xta0 102 1 h h NNP cord-291786-66c8xta0 102 2 1 1 CD cord-291786-66c8xta0 102 3 , , , cord-291786-66c8xta0 102 4 h h NN cord-291786-66c8xta0 102 5 2 2 CD cord-291786-66c8xta0 102 6 Transition transition NN cord-291786-66c8xta0 102 7 rate rate NN cord-291786-66c8xta0 102 8 of of IN cord-291786-66c8xta0 102 9 exposed expose VBN cord-291786-66c8xta0 102 10 individuals individual NNS cord-291786-66c8xta0 102 11 to to IN cord-291786-66c8xta0 102 12 the the DT cord-291786-66c8xta0 102 13 infected infected JJ cord-291786-66c8xta0 102 14 class class NN cord-291786-66c8xta0 102 15 c c NN cord-291786-66c8xta0 102 16 1 1 CD cord-291786-66c8xta0 102 17 , , , cord-291786-66c8xta0 102 18 c c NN cord-291786-66c8xta0 102 19 2 2 CD cord-291786-66c8xta0 102 20 Recovery recovery NN cord-291786-66c8xta0 102 21 rate rate NN cord-291786-66c8xta0 102 22 of of IN cord-291786-66c8xta0 102 23 symptomatic symptomatic JJ cord-291786-66c8xta0 102 24 infected infected JJ cord-291786-66c8xta0 102 25 individuals individual NNS cord-291786-66c8xta0 102 26 to to TO cord-291786-66c8xta0 102 27 recovered recover VBN cord-291786-66c8xta0 102 28 u u NNP cord-291786-66c8xta0 102 29 Rate rate NN cord-291786-66c8xta0 102 30 of of IN cord-291786-66c8xta0 102 31 infectious infectious JJ cord-291786-66c8xta0 102 32 with with IN cord-291786-66c8xta0 102 33 symptoms symptom NNS cord-291786-66c8xta0 102 34 to to IN cord-291786-66c8xta0 102 35 hospitalized hospitalize VBN cord-291786-66c8xta0 102 36 / / SYM cord-291786-66c8xta0 102 37 Recovered recover VBN cord-291786-66c8xta0 102 38 rate rate NN cord-291786-66c8xta0 102 39 of of IN cord-291786-66c8xta0 102 40 quarantined quarantine VBN cord-291786-66c8xta0 102 41 infected infect VBN cord-291786-66c8xta0 102 42 individuals individual NNS cord-291786-66c8xta0 102 43 k k IN cord-291786-66c8xta0 102 44 Rate rate NN cord-291786-66c8xta0 102 45 of of IN cord-291786-66c8xta0 102 46 the the DT cord-291786-66c8xta0 102 47 quarantined quarantine VBN cord-291786-66c8xta0 102 48 class class NN cord-291786-66c8xta0 102 49 to to IN cord-291786-66c8xta0 102 50 the the DT cord-291786-66c8xta0 102 51 recovered recover VBN cord-291786-66c8xta0 102 52 class class NN cord-291786-66c8xta0 102 53 q q NN cord-291786-66c8xta0 102 54 1 1 CD cord-291786-66c8xta0 102 55 , , , cord-291786-66c8xta0 102 56 q q NNP cord-291786-66c8xta0 102 57 2 2 CD cord-291786-66c8xta0 102 58 Transition Transition NNP cord-291786-66c8xta0 102 59 rate rate NN cord-291786-66c8xta0 102 60 of of IN cord-291786-66c8xta0 102 61 quarantined quarantine VBN cord-291786-66c8xta0 102 62 exposed expose VBN cord-291786-66c8xta0 102 63 between between IN cord-291786-66c8xta0 102 64 the the DT cord-291786-66c8xta0 102 65 quarantined quarantine VBN cord-291786-66c8xta0 102 66 infected infected JJ cord-291786-66c8xta0 102 67 class class NN cord-291786-66c8xta0 102 68 and and CC cord-291786-66c8xta0 102 69 the the DT cord-291786-66c8xta0 102 70 wider wide JJR cord-291786-66c8xta0 102 71 community community NN cord-291786-66c8xta0 102 72 K K NNP cord-291786-66c8xta0 102 73 External External NNP cord-291786-66c8xta0 102 74 input input NN cord-291786-66c8xta0 102 75 from from IN cord-291786-66c8xta0 102 76 the the DT cord-291786-66c8xta0 102 77 foreign foreign JJ cord-291786-66c8xta0 102 78 countries country NNS cord-291786-66c8xta0 102 79 the the DT cord-291786-66c8xta0 102 80 learning learning NN cord-291786-66c8xta0 102 81 factors factor NNS cord-291786-66c8xta0 102 82 . . . cord-291786-66c8xta0 103 1 r r NNP cord-291786-66c8xta0 103 2 1 1 CD cord-291786-66c8xta0 103 3 and and CC cord-291786-66c8xta0 103 4 r r NN cord-291786-66c8xta0 103 5 2 2 CD cord-291786-66c8xta0 103 6 are be VBP cord-291786-66c8xta0 103 7 random random JJ cord-291786-66c8xta0 103 8 numbers number NNS cord-291786-66c8xta0 103 9 between between IN cord-291786-66c8xta0 103 10 0 0 CD cord-291786-66c8xta0 103 11 and and CC cord-291786-66c8xta0 103 12 1 1 CD cord-291786-66c8xta0 103 13 . . . cord-291786-66c8xta0 104 1 P p NN cord-291786-66c8xta0 104 2 b;i b;i NN cord-291786-66c8xta0 104 3 ðtÞ ðtÞ NNP cord-291786-66c8xta0 104 4 represents represent VBZ cord-291786-66c8xta0 104 5 the the DT cord-291786-66c8xta0 104 6 best good JJS cord-291786-66c8xta0 104 7 position position NN cord-291786-66c8xta0 104 8 of of IN cord-291786-66c8xta0 104 9 the the DT cord-291786-66c8xta0 104 10 particle particle NN cord-291786-66c8xta0 104 11 i i PRP cord-291786-66c8xta0 104 12 at at IN cord-291786-66c8xta0 104 13 the the DT cord-291786-66c8xta0 104 14 t t NN cord-291786-66c8xta0 104 15 - - HYPH cord-291786-66c8xta0 104 16 th th XX cord-291786-66c8xta0 104 17 iteration iteration NN cord-291786-66c8xta0 104 18 , , , cord-291786-66c8xta0 104 19 and and CC cord-291786-66c8xta0 104 20 P p NN cord-291786-66c8xta0 104 21 g g NNP cord-291786-66c8xta0 104 22 ðtÞ ðtÞ NNP cord-291786-66c8xta0 104 23 represents represent VBZ cord-291786-66c8xta0 104 24 the the DT cord-291786-66c8xta0 104 25 population population NN cord-291786-66c8xta0 104 26 's 's POS cord-291786-66c8xta0 104 27 best good JJS cord-291786-66c8xta0 104 28 position position NN cord-291786-66c8xta0 104 29 at at IN cord-291786-66c8xta0 104 30 the the DT cord-291786-66c8xta0 104 31 t t NN cord-291786-66c8xta0 104 32 - - HYPH cord-291786-66c8xta0 104 33 th th XX cord-291786-66c8xta0 104 34 iteration iteration NN cord-291786-66c8xta0 104 35 . . . cord-291786-66c8xta0 105 1 x x NN cord-291786-66c8xta0 105 2 is be VBZ cord-291786-66c8xta0 105 3 called call VBN cord-291786-66c8xta0 105 4 inertia inertia NN cord-291786-66c8xta0 105 5 weight weight NN cord-291786-66c8xta0 105 6 , , , cord-291786-66c8xta0 105 7 which which WDT cord-291786-66c8xta0 105 8 is be VBZ cord-291786-66c8xta0 105 9 very very RB cord-291786-66c8xta0 105 10 important important JJ cord-291786-66c8xta0 105 11 for for IN cord-291786-66c8xta0 105 12 the the DT cord-291786-66c8xta0 105 13 search search NN cord-291786-66c8xta0 105 14 process process NN cord-291786-66c8xta0 105 15 of of IN cord-291786-66c8xta0 105 16 PSO PSO NNP cord-291786-66c8xta0 105 17 algorithm algorithm NN cord-291786-66c8xta0 105 18 . . . cord-291786-66c8xta0 106 1 Here here RB cord-291786-66c8xta0 106 2 , , , cord-291786-66c8xta0 106 3 it -PRON- PRP cord-291786-66c8xta0 106 4 is be VBZ cord-291786-66c8xta0 106 5 defined define VBN cord-291786-66c8xta0 106 6 by by IN cord-291786-66c8xta0 106 7 [ [ -LRB- cord-291786-66c8xta0 106 8 28 28 CD cord-291786-66c8xta0 106 9 ] ] -RRB- cord-291786-66c8xta0 106 10 xðtÞ xðtÞ . cord-291786-66c8xta0 107 1 where where WRB cord-291786-66c8xta0 107 2 t t NNP cord-291786-66c8xta0 107 3 and and CC cord-291786-66c8xta0 107 4 T T NNP cord-291786-66c8xta0 107 5 are be VBP cord-291786-66c8xta0 107 6 the the DT cord-291786-66c8xta0 107 7 current current JJ cord-291786-66c8xta0 107 8 and and CC cord-291786-66c8xta0 107 9 maximum maximum JJ cord-291786-66c8xta0 107 10 iterations iteration NNS cord-291786-66c8xta0 107 11 of of IN cord-291786-66c8xta0 107 12 the the DT cord-291786-66c8xta0 107 13 PSO PSO NNP cord-291786-66c8xta0 107 14 algorithm algorithm NN cord-291786-66c8xta0 107 15 , , , cord-291786-66c8xta0 107 16 respectively respectively RB cord-291786-66c8xta0 107 17 , , , cord-291786-66c8xta0 107 18 and and CC cord-291786-66c8xta0 107 19 x x SYM cord-291786-66c8xta0 107 20 min min NNP cord-291786-66c8xta0 107 21 and and CC cord-291786-66c8xta0 107 22 x x SYM cord-291786-66c8xta0 107 23 max max NNP cord-291786-66c8xta0 107 24 are be VBP cord-291786-66c8xta0 107 25 the the DT cord-291786-66c8xta0 107 26 minimal minimal JJ cord-291786-66c8xta0 107 27 and and CC cord-291786-66c8xta0 107 28 maximum maximum JJ cord-291786-66c8xta0 107 29 value value NN cord-291786-66c8xta0 107 30 of of IN cord-291786-66c8xta0 107 31 the the DT cord-291786-66c8xta0 107 32 inertia inertia NN cord-291786-66c8xta0 107 33 weight weight NN cord-291786-66c8xta0 107 34 , , , cord-291786-66c8xta0 107 35 respectively respectively RB cord-291786-66c8xta0 107 36 . . . cord-291786-66c8xta0 108 1 Suppose suppose VB cord-291786-66c8xta0 108 2 that that IN cord-291786-66c8xta0 108 3 we -PRON- PRP cord-291786-66c8xta0 108 4 meet meet VBP cord-291786-66c8xta0 108 5 a a DT cord-291786-66c8xta0 108 6 minimum minimum JJ cord-291786-66c8xta0 108 7 optimization optimization NN cord-291786-66c8xta0 108 8 problem problem NN cord-291786-66c8xta0 108 9 , , , cord-291786-66c8xta0 108 10 the the DT cord-291786-66c8xta0 108 11 implementation implementation NN cord-291786-66c8xta0 108 12 steps step NNS cord-291786-66c8xta0 108 13 of of IN cord-291786-66c8xta0 108 14 the the DT cord-291786-66c8xta0 108 15 PSO PSO NNP cord-291786-66c8xta0 108 16 algorithm algorithm NN cord-291786-66c8xta0 108 17 are be VBP cord-291786-66c8xta0 108 18 summarized summarize VBN cord-291786-66c8xta0 108 19 as as IN cord-291786-66c8xta0 108 20 follows follow VBZ cord-291786-66c8xta0 108 21 : : : cord-291786-66c8xta0 108 22 Step step NN cord-291786-66c8xta0 108 23 1 1 CD cord-291786-66c8xta0 108 24 : : : cord-291786-66c8xta0 108 25 The the DT cord-291786-66c8xta0 108 26 position position NN cord-291786-66c8xta0 108 27 of of IN cord-291786-66c8xta0 108 28 each each DT cord-291786-66c8xta0 108 29 particle particle NN cord-291786-66c8xta0 108 30 is be VBZ cord-291786-66c8xta0 108 31 randomly randomly RB cord-291786-66c8xta0 108 32 initialized initialize VBN cord-291786-66c8xta0 108 33 . . . cord-291786-66c8xta0 109 1 Step step NN cord-291786-66c8xta0 109 2 2 2 CD cord-291786-66c8xta0 109 3 : : : cord-291786-66c8xta0 109 4 Calculate calculate VB cord-291786-66c8xta0 109 5 the the DT cord-291786-66c8xta0 109 6 fitness fitness NN cord-291786-66c8xta0 109 7 value value NN cord-291786-66c8xta0 109 8 FðX FðX NNP cord-291786-66c8xta0 110 1 i i PRP cord-291786-66c8xta0 110 2 ðtÞÞ ðtþþ NN cord-291786-66c8xta0 110 3 of of IN cord-291786-66c8xta0 110 4 the the DT cord-291786-66c8xta0 110 5 particle particle NN cord-291786-66c8xta0 110 6 i i PRP cord-291786-66c8xta0 110 7 , , , cord-291786-66c8xta0 110 8 and and CC cord-291786-66c8xta0 110 9 find find VB cord-291786-66c8xta0 110 10 the the DT cord-291786-66c8xta0 110 11 P p NN cord-291786-66c8xta0 110 12 b;i b;i NN cord-291786-66c8xta0 110 13 ðtÞ ðtÞ NNP cord-291786-66c8xta0 110 14 and and CC cord-291786-66c8xta0 110 15 the the DT cord-291786-66c8xta0 110 16 P p NN cord-291786-66c8xta0 110 17 g g NN cord-291786-66c8xta0 110 18 ðtÞ. ðtþ. UH cord-291786-66c8xta0 110 19 Step step NN cord-291786-66c8xta0 110 20 3 3 CD cord-291786-66c8xta0 110 21 : : : cord-291786-66c8xta0 111 1 If if IN cord-291786-66c8xta0 111 2 FðX FðX NNP cord-291786-66c8xta0 111 3 i i NNP cord-291786-66c8xta0 111 4 ðtÞÞ\FðP ðtÞÞ\FðP NNP cord-291786-66c8xta0 111 5 b;i b;i NNP cord-291786-66c8xta0 111 6 ðtÞÞ ðtÞÞ NNP cord-291786-66c8xta0 111 7 , , , cord-291786-66c8xta0 111 8 then then RB cord-291786-66c8xta0 111 9 replace replace VB cord-291786-66c8xta0 111 10 the the DT cord-291786-66c8xta0 111 11 P p NN cord-291786-66c8xta0 111 12 b;i b;i NN cord-291786-66c8xta0 111 13 ðtÞ ðtÞ NNP cord-291786-66c8xta0 111 14 by by IN cord-291786-66c8xta0 112 1 the the DT cord-291786-66c8xta0 112 2 X X NNP cord-291786-66c8xta0 112 3 i i PRP cord-291786-66c8xta0 112 4 ðtÞ. ðtþ. RB cord-291786-66c8xta0 113 1 Step step NN cord-291786-66c8xta0 113 2 4 4 CD cord-291786-66c8xta0 113 3 : : : cord-291786-66c8xta0 114 1 If if IN cord-291786-66c8xta0 114 2 FðX FðX NNP cord-291786-66c8xta0 115 1 i i PRP cord-291786-66c8xta0 116 1 ðtÞÞ\FðP ðtþþ\fðp LS cord-291786-66c8xta0 117 1 g g NNP cord-291786-66c8xta0 117 2 ðtÞÞ ðtÞÞ NNP cord-291786-66c8xta0 117 3 , , , cord-291786-66c8xta0 117 4 then then RB cord-291786-66c8xta0 117 5 replace replace VB cord-291786-66c8xta0 117 6 the the DT cord-291786-66c8xta0 117 7 P p NN cord-291786-66c8xta0 117 8 g g NN cord-291786-66c8xta0 117 9 ðtÞ ðtÞ NNP cord-291786-66c8xta0 117 10 by by IN cord-291786-66c8xta0 117 11 the the DT cord-291786-66c8xta0 117 12 X x NN cord-291786-66c8xta0 117 13 i i NN cord-291786-66c8xta0 118 1 ðtÞ. ðtþ. UH cord-291786-66c8xta0 118 2 Step step NN cord-291786-66c8xta0 118 3 5 5 CD cord-291786-66c8xta0 118 4 : : : cord-291786-66c8xta0 119 1 Calculate calculate VB cord-291786-66c8xta0 119 2 the the DT cord-291786-66c8xta0 119 3 inertia inertia NN cord-291786-66c8xta0 119 4 weight weight NN cord-291786-66c8xta0 119 5 by by IN cord-291786-66c8xta0 119 6 Eq Eq NNP cord-291786-66c8xta0 119 7 . . . cord-291786-66c8xta0 120 1 ( ( -LRB- cord-291786-66c8xta0 120 2 4 4 LS cord-291786-66c8xta0 120 3 ) ) -RRB- cord-291786-66c8xta0 120 4 . . . cord-291786-66c8xta0 121 1 Step step NN cord-291786-66c8xta0 121 2 6 6 CD cord-291786-66c8xta0 121 3 : : : cord-291786-66c8xta0 121 4 Update update NN cord-291786-66c8xta0 121 5 velocity velocity NN cord-291786-66c8xta0 121 6 and and CC cord-291786-66c8xta0 121 7 position position NN cord-291786-66c8xta0 121 8 of of IN cord-291786-66c8xta0 121 9 the the DT cord-291786-66c8xta0 121 10 particle particle NN cord-291786-66c8xta0 122 1 i i PRP cord-291786-66c8xta0 122 2 according accord VBG cord-291786-66c8xta0 122 3 to to IN cord-291786-66c8xta0 122 4 Eqs Eqs NNP cord-291786-66c8xta0 122 5 . . . cord-291786-66c8xta0 123 1 ( ( -LRB- cord-291786-66c8xta0 123 2 2 2 LS cord-291786-66c8xta0 123 3 ) ) -RRB- cord-291786-66c8xta0 123 4 and and CC cord-291786-66c8xta0 123 5 ( ( -LRB- cord-291786-66c8xta0 123 6 3 3 LS cord-291786-66c8xta0 123 7 ) ) -RRB- cord-291786-66c8xta0 123 8 , , , cord-291786-66c8xta0 123 9 respectively respectively RB cord-291786-66c8xta0 123 10 . . . cord-291786-66c8xta0 124 1 Step step NN cord-291786-66c8xta0 124 2 7 7 CD cord-291786-66c8xta0 124 3 : : : cord-291786-66c8xta0 125 1 Repeat repeat VB cord-291786-66c8xta0 125 2 the the DT cord-291786-66c8xta0 125 3 Steps Steps NNPS cord-291786-66c8xta0 125 4 3 3 CD cord-291786-66c8xta0 125 5 - - SYM cord-291786-66c8xta0 125 6 6 6 CD cord-291786-66c8xta0 125 7 until until IN cord-291786-66c8xta0 125 8 the the DT cord-291786-66c8xta0 125 9 termination termination NN cord-291786-66c8xta0 125 10 criterion criterion NN cord-291786-66c8xta0 125 11 is be VBZ cord-291786-66c8xta0 125 12 satisfied satisfied JJ cord-291786-66c8xta0 125 13 . . . cord-291786-66c8xta0 126 1 In in IN cord-291786-66c8xta0 126 2 this this DT cord-291786-66c8xta0 126 3 section section NN cord-291786-66c8xta0 126 4 , , , cord-291786-66c8xta0 126 5 through through IN cord-291786-66c8xta0 126 6 the the DT cord-291786-66c8xta0 126 7 actual actual JJ cord-291786-66c8xta0 126 8 COVID-19 COVID-19 NNP cord-291786-66c8xta0 126 9 data datum NNS cord-291786-66c8xta0 126 10 from from IN cord-291786-66c8xta0 126 11 Hubei Hubei NNP cord-291786-66c8xta0 126 12 province province NN cord-291786-66c8xta0 126 13 , , , cord-291786-66c8xta0 126 14 the the DT cord-291786-66c8xta0 126 15 PSO PSO NNP cord-291786-66c8xta0 126 16 algorithm algorithm NN cord-291786-66c8xta0 126 17 is be VBZ cord-291786-66c8xta0 126 18 utilized utilize VBN cord-291786-66c8xta0 126 19 to to TO cord-291786-66c8xta0 126 20 estimate estimate VB cord-291786-66c8xta0 126 21 the the DT cord-291786-66c8xta0 126 22 parameters parameter NNS cord-291786-66c8xta0 126 23 of of IN cord-291786-66c8xta0 126 24 the the DT cord-291786-66c8xta0 126 25 proposed propose VBN cord-291786-66c8xta0 126 26 SEIR seir NN cord-291786-66c8xta0 126 27 model model NN cord-291786-66c8xta0 126 28 to to TO cord-291786-66c8xta0 126 29 fit fit VB cord-291786-66c8xta0 126 30 the the DT cord-291786-66c8xta0 126 31 real real JJ cord-291786-66c8xta0 126 32 situation situation NN cord-291786-66c8xta0 126 33 . . . cord-291786-66c8xta0 127 1 The the DT cord-291786-66c8xta0 127 2 COVID-19 COVID-19 NNP cord-291786-66c8xta0 127 3 data datum NNS cord-291786-66c8xta0 127 4 come come VBP cord-291786-66c8xta0 127 5 from from IN cord-291786-66c8xta0 127 6 the the DT cord-291786-66c8xta0 127 7 official official JJ cord-291786-66c8xta0 127 8 website website NN cord-291786-66c8xta0 127 9 of of IN cord-291786-66c8xta0 127 10 the the DT cord-291786-66c8xta0 127 11 Wuhan Wuhan NNP cord-291786-66c8xta0 127 12 Municipal Municipal NNP cord-291786-66c8xta0 127 13 Health Health NNP cord-291786-66c8xta0 127 14 Commission Commission NNP cord-291786-66c8xta0 127 15 ( ( -LRB- cord-291786-66c8xta0 127 16 http://wjw.wh.gov.cn/ http://wjw.wh.gov.cn/ NNP cord-291786-66c8xta0 127 17 ) ) -RRB- cord-291786-66c8xta0 127 18 , , , cord-291786-66c8xta0 127 19 and and CC cord-291786-66c8xta0 127 20 some some DT cord-291786-66c8xta0 127 21 actual actual JJ cord-291786-66c8xta0 127 22 data datum NNS cord-291786-66c8xta0 127 23 are be VBP cord-291786-66c8xta0 127 24 listed list VBN cord-291786-66c8xta0 127 25 in in IN cord-291786-66c8xta0 127 26 Table Table NNP cord-291786-66c8xta0 127 27 3 3 CD cord-291786-66c8xta0 127 28 . . . cord-291786-66c8xta0 128 1 In in IN cord-291786-66c8xta0 128 2 the the DT cord-291786-66c8xta0 128 3 face face NN cord-291786-66c8xta0 128 4 of of IN cord-291786-66c8xta0 128 5 the the DT cord-291786-66c8xta0 128 6 pressure pressure NN cord-291786-66c8xta0 128 7 of of IN cord-291786-66c8xta0 128 8 epidemic epidemic NN cord-291786-66c8xta0 128 9 prevention prevention NN cord-291786-66c8xta0 128 10 and and CC cord-291786-66c8xta0 128 11 control control NN cord-291786-66c8xta0 128 12 , , , cord-291786-66c8xta0 128 13 Wuhan Wuhan NNP cord-291786-66c8xta0 128 14 government government NN cord-291786-66c8xta0 128 15 announced announce VBD cord-291786-66c8xta0 128 16 to to TO cord-291786-66c8xta0 128 17 seal seal VB cord-291786-66c8xta0 128 18 off off RP cord-291786-66c8xta0 128 19 the the DT cord-291786-66c8xta0 128 20 city city NN cord-291786-66c8xta0 128 21 from from IN cord-291786-66c8xta0 128 22 all all DT cord-291786-66c8xta0 128 23 outside outside JJ cord-291786-66c8xta0 128 24 contact contact NN cord-291786-66c8xta0 128 25 on on IN cord-291786-66c8xta0 128 26 January January NNP cord-291786-66c8xta0 128 27 23rd 23rd NN cord-291786-66c8xta0 128 28 , , , cord-291786-66c8xta0 128 29 2020 2020 CD cord-291786-66c8xta0 128 30 . . . cord-291786-66c8xta0 129 1 Then then RB cord-291786-66c8xta0 129 2 , , , cord-291786-66c8xta0 129 3 other other JJ cord-291786-66c8xta0 129 4 cities city NNS cord-291786-66c8xta0 129 5 in in IN cord-291786-66c8xta0 129 6 Hubei Hubei NNP cord-291786-66c8xta0 129 7 province province NN cord-291786-66c8xta0 129 8 also also RB cord-291786-66c8xta0 129 9 took take VBD cord-291786-66c8xta0 129 10 the the DT cord-291786-66c8xta0 129 11 ' ' '' cord-291786-66c8xta0 129 12 ' ' `` cord-291786-66c8xta0 129 13 closure closure NN cord-291786-66c8xta0 129 14 city city NN cord-291786-66c8xta0 129 15 ' ' '' cord-291786-66c8xta0 129 16 ' ' '' cord-291786-66c8xta0 129 17 measure measure NN cord-291786-66c8xta0 129 18 . . . cord-291786-66c8xta0 130 1 The the DT cord-291786-66c8xta0 130 2 COVID-19 covid-19 JJ cord-291786-66c8xta0 130 3 epidemic epidemic NN cord-291786-66c8xta0 130 4 situation situation NN cord-291786-66c8xta0 130 5 of of IN cord-291786-66c8xta0 130 6 Hubei Hubei NNP cord-291786-66c8xta0 130 7 is be VBZ cord-291786-66c8xta0 130 8 relatively relatively RB cord-291786-66c8xta0 130 9 stable stable JJ cord-291786-66c8xta0 130 10 after after IN cord-291786-66c8xta0 130 11 January January NNP cord-291786-66c8xta0 130 12 23rd 23rd NN cord-291786-66c8xta0 130 13 , , , cord-291786-66c8xta0 130 14 2020 2020 CD cord-291786-66c8xta0 130 15 , , , cord-291786-66c8xta0 130 16 so so RB cord-291786-66c8xta0 130 17 we -PRON- PRP cord-291786-66c8xta0 130 18 chose choose VBD cord-291786-66c8xta0 130 19 to to TO cord-291786-66c8xta0 130 20 study study VB cord-291786-66c8xta0 130 21 the the DT cord-291786-66c8xta0 130 22 data datum NNS cord-291786-66c8xta0 130 23 between between IN cord-291786-66c8xta0 130 24 January January NNP cord-291786-66c8xta0 130 25 24th 24th NN cord-291786-66c8xta0 130 26 and and CC cord-291786-66c8xta0 130 27 April April NNP cord-291786-66c8xta0 130 28 12th 12th NN cord-291786-66c8xta0 130 29 . . . cord-291786-66c8xta0 131 1 The the DT cord-291786-66c8xta0 131 2 initial initial JJ cord-291786-66c8xta0 131 3 values value NNS cord-291786-66c8xta0 131 4 setting set VBG cord-291786-66c8xta0 131 5 of of IN cord-291786-66c8xta0 131 6 SEIR SEIR NNP cord-291786-66c8xta0 131 7 model model NN cord-291786-66c8xta0 131 8 is be VBZ cord-291786-66c8xta0 131 9 presented present VBN cord-291786-66c8xta0 131 10 in in IN cord-291786-66c8xta0 131 11 Table Table NNP cord-291786-66c8xta0 131 12 4 4 CD cord-291786-66c8xta0 131 13 , , , cord-291786-66c8xta0 131 14 where where WRB cord-291786-66c8xta0 131 15 N n CD cord-291786-66c8xta0 131 16 is be VBZ cord-291786-66c8xta0 131 17 the the DT cord-291786-66c8xta0 131 18 total total JJ cord-291786-66c8xta0 131 19 population population NN cord-291786-66c8xta0 131 20 of of IN cord-291786-66c8xta0 131 21 Hubei Hubei NNP cord-291786-66c8xta0 131 22 affected affect VBN cord-291786-66c8xta0 131 23 by by IN cord-291786-66c8xta0 131 24 the the DT cord-291786-66c8xta0 131 25 COVID-19 covid-19 JJ cord-291786-66c8xta0 131 26 epidemic epidemic NN cord-291786-66c8xta0 131 27 in in IN cord-291786-66c8xta0 131 28 January January NNP cord-291786-66c8xta0 131 29 24th 24th NN cord-291786-66c8xta0 131 30 , , , cord-291786-66c8xta0 131 31 2020 2020 CD cord-291786-66c8xta0 131 32 , , , cord-291786-66c8xta0 131 33 and and CC cord-291786-66c8xta0 131 34 E e NN cord-291786-66c8xta0 131 35 is be VBZ cord-291786-66c8xta0 131 36 calculated calculate VBN cord-291786-66c8xta0 131 37 based base VBN cord-291786-66c8xta0 131 38 on on IN cord-291786-66c8xta0 131 39 the the DT cord-291786-66c8xta0 131 40 number number NN cord-291786-66c8xta0 131 41 of of IN cord-291786-66c8xta0 131 42 confirmed confirm VBN cord-291786-66c8xta0 131 43 patients patient NNS cord-291786-66c8xta0 131 44 . . . cord-291786-66c8xta0 132 1 I -PRON- PRP cord-291786-66c8xta0 132 2 1 1 CD cord-291786-66c8xta0 132 3 is be VBZ cord-291786-66c8xta0 132 4 an an DT cord-291786-66c8xta0 132 5 estimated estimate VBN cord-291786-66c8xta0 132 6 value value NN cord-291786-66c8xta0 132 7 based base VBN cord-291786-66c8xta0 132 8 on on IN cord-291786-66c8xta0 132 9 I I NNP cord-291786-66c8xta0 132 10 2 2 CD cord-291786-66c8xta0 132 11 , , , cord-291786-66c8xta0 132 12 and and CC cord-291786-66c8xta0 132 13 the the DT cord-291786-66c8xta0 132 14 other other JJ cord-291786-66c8xta0 132 15 initial initial JJ cord-291786-66c8xta0 132 16 values value NNS cord-291786-66c8xta0 132 17 are be VBP cord-291786-66c8xta0 132 18 originated originate VBN cord-291786-66c8xta0 132 19 from from IN cord-291786-66c8xta0 132 20 the the DT cord-291786-66c8xta0 132 21 actual actual JJ cord-291786-66c8xta0 132 22 data datum NNS cord-291786-66c8xta0 132 23 . . . cord-291786-66c8xta0 133 1 The the DT cord-291786-66c8xta0 133 2 system system NN cord-291786-66c8xta0 133 3 parameters parameter NNS cord-291786-66c8xta0 133 4 of of IN cord-291786-66c8xta0 133 5 SEIR SEIR NNP cord-291786-66c8xta0 133 6 model model NN cord-291786-66c8xta0 133 7 are be VBP cord-291786-66c8xta0 133 8 calculated calculate VBN cord-291786-66c8xta0 133 9 by by IN cord-291786-66c8xta0 133 10 the the DT cord-291786-66c8xta0 133 11 actual actual JJ cord-291786-66c8xta0 133 12 data datum NNS cord-291786-66c8xta0 133 13 , , , cord-291786-66c8xta0 133 14 as as IN cord-291786-66c8xta0 133 15 shown show VBN cord-291786-66c8xta0 133 16 in in IN cord-291786-66c8xta0 133 17 Table Table NNP cord-291786-66c8xta0 133 18 5 5 CD cord-291786-66c8xta0 133 19 . . . cord-291786-66c8xta0 134 1 However however RB cord-291786-66c8xta0 134 2 , , , cord-291786-66c8xta0 134 3 there there EX cord-291786-66c8xta0 134 4 is be VBZ cord-291786-66c8xta0 134 5 no no DT cord-291786-66c8xta0 134 6 accurate accurate JJ cord-291786-66c8xta0 134 7 statistics statistic NNS cord-291786-66c8xta0 134 8 of of IN cord-291786-66c8xta0 134 9 the the DT cord-291786-66c8xta0 134 10 rate rate NN cord-291786-66c8xta0 134 11 of of IN cord-291786-66c8xta0 134 12 infectious infectious JJ cord-291786-66c8xta0 134 13 to to IN cord-291786-66c8xta0 134 14 hospitalized hospitalize VBN cord-291786-66c8xta0 134 15 u u NNP cord-291786-66c8xta0 134 16 and and CC cord-291786-66c8xta0 134 17 the the DT cord-291786-66c8xta0 134 18 recovered recover VBN cord-291786-66c8xta0 134 19 rate rate NN cord-291786-66c8xta0 134 20 of of IN cord-291786-66c8xta0 134 21 quarantined quarantine VBN cord-291786-66c8xta0 134 22 infected infect VBN cord-291786-66c8xta0 134 23 individuals individual NNS cord-291786-66c8xta0 134 24 /. /. . cord-291786-66c8xta0 135 1 Here here RB cord-291786-66c8xta0 135 2 , , , cord-291786-66c8xta0 135 3 the the DT cord-291786-66c8xta0 135 4 two two CD cord-291786-66c8xta0 135 5 parameters parameter NNS cord-291786-66c8xta0 135 6 are be VBP cord-291786-66c8xta0 135 7 estimated estimate VBN cord-291786-66c8xta0 135 8 by by IN cord-291786-66c8xta0 135 9 the the DT cord-291786-66c8xta0 135 10 PSO PSO NNP cord-291786-66c8xta0 135 11 algorithm algorithm NN cord-291786-66c8xta0 135 12 with with IN cord-291786-66c8xta0 135 13 the the DT cord-291786-66c8xta0 135 14 actual actual JJ cord-291786-66c8xta0 135 15 data datum NNS cord-291786-66c8xta0 135 16 of of IN cord-291786-66c8xta0 135 17 R r NN cord-291786-66c8xta0 135 18 and and CC cord-291786-66c8xta0 135 19 H. h. NN cord-291786-66c8xta0 136 1 The the DT cord-291786-66c8xta0 136 2 settings setting NNS cord-291786-66c8xta0 136 3 of of IN cord-291786-66c8xta0 136 4 PSO PSO NNP cord-291786-66c8xta0 136 5 algorithm algorithm NN cord-291786-66c8xta0 136 6 are be VBP cord-291786-66c8xta0 136 7 set set VBN cord-291786-66c8xta0 136 8 as as IN cord-291786-66c8xta0 136 9 : : : cord-291786-66c8xta0 136 10 population population NN cord-291786-66c8xta0 136 11 of of IN cord-291786-66c8xta0 136 12 particle particle NN cord-291786-66c8xta0 136 13 swarm swarm NN cord-291786-66c8xta0 136 14 NP NP NNP cord-291786-66c8xta0 136 15 ¼ ¼ CD cord-291786-66c8xta0 136 16 40 40 CD cord-291786-66c8xta0 136 17 , , , cord-291786-66c8xta0 136 18 learning learning NN cord-291786-66c8xta0 136 19 factors factor NNS cord-291786-66c8xta0 136 20 c c NN cord-291786-66c8xta0 136 21 1 1 CD cord-291786-66c8xta0 137 1 ¼ ¼ NNP cord-291786-66c8xta0 137 2 c c NNP cord-291786-66c8xta0 138 1 2 2 CD cord-291786-66c8xta0 138 2 ¼ ¼ CD cord-291786-66c8xta0 138 3 2 2 CD cord-291786-66c8xta0 138 4 , , , cord-291786-66c8xta0 138 5 maximal maximal JJ cord-291786-66c8xta0 138 6 iteration iteration NN cord-291786-66c8xta0 138 7 T T NNP cord-291786-66c8xta0 138 8 ¼ ¼ NNP cord-291786-66c8xta0 138 9 100 100 CD cord-291786-66c8xta0 138 10 and and CC cord-291786-66c8xta0 138 11 the the DT cord-291786-66c8xta0 138 12 search search NN cord-291786-66c8xta0 138 13 spaces space NNS cord-291786-66c8xta0 138 14 u u NNP cord-291786-66c8xta0 138 15 ; ; : cord-291786-66c8xta0 138 16 / / SYM cord-291786-66c8xta0 138 17 2 2 CD cord-291786-66c8xta0 138 18 ð0 ð0 NN cord-291786-66c8xta0 138 19 ; ; : cord-291786-66c8xta0 138 20 0:1 0:1 XX cord-291786-66c8xta0 138 21 . . . cord-291786-66c8xta0 139 1 The the DT cord-291786-66c8xta0 139 2 COVID-19 covid-19 JJ cord-291786-66c8xta0 139 3 epidemic epidemic NN cord-291786-66c8xta0 139 4 situation situation NN cord-291786-66c8xta0 139 5 in in IN cord-291786-66c8xta0 139 6 Hubei Hubei NNP cord-291786-66c8xta0 139 7 is be VBZ cord-291786-66c8xta0 139 8 divided divide VBN cord-291786-66c8xta0 139 9 into into IN cord-291786-66c8xta0 139 10 two two CD cord-291786-66c8xta0 139 11 stages stage NNS cord-291786-66c8xta0 139 12 : : : cord-291786-66c8xta0 139 13 the the DT cord-291786-66c8xta0 139 14 outbreak outbreak NN cord-291786-66c8xta0 139 15 stage stage NN cord-291786-66c8xta0 139 16 ( ( -LRB- cord-291786-66c8xta0 139 17 the the DT cord-291786-66c8xta0 139 18 first first JJ cord-291786-66c8xta0 139 19 19 19 CD cord-291786-66c8xta0 139 20 days day NNS cord-291786-66c8xta0 139 21 ) ) -RRB- cord-291786-66c8xta0 139 22 and and CC cord-291786-66c8xta0 139 23 the the DT cord-291786-66c8xta0 139 24 inhibition inhibition NN cord-291786-66c8xta0 139 25 stage stage NN cord-291786-66c8xta0 139 26 ( ( -LRB- cord-291786-66c8xta0 139 27 the the DT cord-291786-66c8xta0 139 28 20th 20th JJ cord-291786-66c8xta0 139 29 day day NN cord-291786-66c8xta0 139 30 to to IN cord-291786-66c8xta0 139 31 the the DT cord-291786-66c8xta0 139 32 end end NN cord-291786-66c8xta0 139 33 ) ) -RRB- cord-291786-66c8xta0 139 34 . . . cord-291786-66c8xta0 140 1 In in IN cord-291786-66c8xta0 140 2 the the DT cord-291786-66c8xta0 140 3 outbreak outbreak NN cord-291786-66c8xta0 140 4 stage stage NN cord-291786-66c8xta0 140 5 , , , cord-291786-66c8xta0 140 6 according accord VBG cord-291786-66c8xta0 140 7 to to IN cord-291786-66c8xta0 140 8 the the DT cord-291786-66c8xta0 140 9 actual actual JJ cord-291786-66c8xta0 140 10 data datum NNS cord-291786-66c8xta0 140 11 of of IN cord-291786-66c8xta0 140 12 R r NN cord-291786-66c8xta0 140 13 and and CC cord-291786-66c8xta0 140 14 H H NNP cord-291786-66c8xta0 140 15 , , , cord-291786-66c8xta0 140 16 the the DT cord-291786-66c8xta0 140 17 u u NNP cord-291786-66c8xta0 140 18 and and CC cord-291786-66c8xta0 140 19 the the DT cord-291786-66c8xta0 140 20 / / SYM cord-291786-66c8xta0 140 21 are be VBP cord-291786-66c8xta0 140 22 estimated estimate VBN cord-291786-66c8xta0 140 23 to to IN cord-291786-66c8xta0 140 24 u u NNP cord-291786-66c8xta0 140 25 ¼ ¼ NNP cord-291786-66c8xta0 140 26 0:2910 0:2910 NNP cord-291786-66c8xta0 140 27 , , , cord-291786-66c8xta0 140 28 / / SYM cord-291786-66c8xta0 140 29 ¼ ¼ NNP cord-291786-66c8xta0 140 30 0:0107 0:0107 NNP cord-291786-66c8xta0 140 31 , , , cord-291786-66c8xta0 140 32 respectively respectively RB cord-291786-66c8xta0 140 33 . . . cord-291786-66c8xta0 141 1 The the DT cord-291786-66c8xta0 141 2 error error NN cord-291786-66c8xta0 141 3 convergence convergence NN cord-291786-66c8xta0 141 4 curve curve NN cord-291786-66c8xta0 141 5 of of IN cord-291786-66c8xta0 141 6 PSO PSO NNP cord-291786-66c8xta0 141 7 is be VBZ cord-291786-66c8xta0 141 8 shown show VBN cord-291786-66c8xta0 141 9 in in IN cord-291786-66c8xta0 141 10 Fig Fig NNP cord-291786-66c8xta0 141 11 . . . cord-291786-66c8xta0 142 1 2 2 LS cord-291786-66c8xta0 142 2 . . . cord-291786-66c8xta0 143 1 After after IN cord-291786-66c8xta0 143 2 the the DT cord-291786-66c8xta0 143 3 outbreak outbreak NN cord-291786-66c8xta0 143 4 stage stage NN cord-291786-66c8xta0 143 5 , , , cord-291786-66c8xta0 143 6 due due IN cord-291786-66c8xta0 143 7 to to IN cord-291786-66c8xta0 143 8 the the DT cord-291786-66c8xta0 143 9 continuous continuous JJ cord-291786-66c8xta0 143 10 assistance assistance NN cord-291786-66c8xta0 143 11 from from IN cord-291786-66c8xta0 143 12 other other JJ cord-291786-66c8xta0 143 13 provinces province NNS cord-291786-66c8xta0 143 14 and and CC cord-291786-66c8xta0 143 15 other other JJ cord-291786-66c8xta0 143 16 countries country NNS cord-291786-66c8xta0 143 17 , , , cord-291786-66c8xta0 143 18 the the DT cord-291786-66c8xta0 143 19 epidemic epidemic NN cord-291786-66c8xta0 143 20 in in IN cord-291786-66c8xta0 143 21 Hubei Hubei NNP cord-291786-66c8xta0 143 22 began begin VBD cord-291786-66c8xta0 143 23 to to TO cord-291786-66c8xta0 143 24 enter enter VB cord-291786-66c8xta0 143 25 the the DT cord-291786-66c8xta0 143 26 inhibition inhibition NN cord-291786-66c8xta0 143 27 stage stage NN cord-291786-66c8xta0 143 28 . . . cord-291786-66c8xta0 144 1 In in IN cord-291786-66c8xta0 144 2 this this DT cord-291786-66c8xta0 144 3 stage stage NN cord-291786-66c8xta0 144 4 , , , cord-291786-66c8xta0 144 5 the the DT cord-291786-66c8xta0 144 6 error error NN cord-291786-66c8xta0 144 7 convergence convergence NN cord-291786-66c8xta0 144 8 curve curve NN cord-291786-66c8xta0 144 9 of of IN cord-291786-66c8xta0 144 10 PSO PSO NNP cord-291786-66c8xta0 144 11 is be VBZ cord-291786-66c8xta0 144 12 given give VBN cord-291786-66c8xta0 144 13 in in IN cord-291786-66c8xta0 144 14 Fig Fig NNP cord-291786-66c8xta0 144 15 . . . cord-291786-66c8xta0 145 1 3 3 LS cord-291786-66c8xta0 145 2 , , , cord-291786-66c8xta0 145 3 and and CC cord-291786-66c8xta0 145 4 the the DT cord-291786-66c8xta0 145 5 estimated estimate VBN cord-291786-66c8xta0 145 6 u u NN cord-291786-66c8xta0 145 7 and and CC cord-291786-66c8xta0 145 8 / / SYM cord-291786-66c8xta0 145 9 changed change VBD cord-291786-66c8xta0 145 10 to to IN cord-291786-66c8xta0 145 11 u u NNP cord-291786-66c8xta0 145 12 ¼ ¼ NNP cord-291786-66c8xta0 145 13 0:0973 0:0973 CD cord-291786-66c8xta0 145 14 ; ; : cord-291786-66c8xta0 145 15 / / NFP cord-291786-66c8xta0 146 1 ¼ ¼ NNP cord-291786-66c8xta0 146 2 0:0416 0:0416 NNP cord-291786-66c8xta0 146 3 , , , cord-291786-66c8xta0 146 4 respectively respectively RB cord-291786-66c8xta0 146 5 . . . cord-291786-66c8xta0 147 1 The the DT cord-291786-66c8xta0 147 2 estimated estimated JJ cord-291786-66c8xta0 147 3 and and CC cord-291786-66c8xta0 147 4 actual actual JJ cord-291786-66c8xta0 147 5 trajectories trajectory NNS cord-291786-66c8xta0 147 6 in in IN cord-291786-66c8xta0 147 7 the the DT cord-291786-66c8xta0 147 8 two two CD cord-291786-66c8xta0 147 9 stages stage NNS cord-291786-66c8xta0 147 10 are be VBP cord-291786-66c8xta0 147 11 shown show VBN cord-291786-66c8xta0 147 12 in in IN cord-291786-66c8xta0 147 13 Fig Fig NNP cord-291786-66c8xta0 147 14 . . . cord-291786-66c8xta0 148 1 4 4 LS cord-291786-66c8xta0 148 2 . . . cord-291786-66c8xta0 149 1 In in IN cord-291786-66c8xta0 149 2 the the DT cord-291786-66c8xta0 149 3 first first JJ cord-291786-66c8xta0 149 4 stage stage NN cord-291786-66c8xta0 149 5 , , , cord-291786-66c8xta0 149 6 although although IN cord-291786-66c8xta0 149 7 there there EX cord-291786-66c8xta0 149 8 are be VBP cord-291786-66c8xta0 149 9 some some DT cord-291786-66c8xta0 149 10 errors error NNS cord-291786-66c8xta0 149 11 between between IN cord-291786-66c8xta0 149 12 the the DT cord-291786-66c8xta0 149 13 estimated estimate VBN cord-291786-66c8xta0 149 14 number number NN cord-291786-66c8xta0 149 15 and and CC cord-291786-66c8xta0 149 16 the the DT cord-291786-66c8xta0 149 17 actual actual JJ cord-291786-66c8xta0 149 18 number number NN cord-291786-66c8xta0 149 19 , , , cord-291786-66c8xta0 149 20 it -PRON- PRP cord-291786-66c8xta0 149 21 shows show VBZ cord-291786-66c8xta0 149 22 that that IN cord-291786-66c8xta0 149 23 the the DT cord-291786-66c8xta0 149 24 estimated estimate VBN cord-291786-66c8xta0 149 25 values value NNS cord-291786-66c8xta0 149 26 match match VBP cord-291786-66c8xta0 149 27 well well RB cord-291786-66c8xta0 149 28 with with IN cord-291786-66c8xta0 149 29 the the DT cord-291786-66c8xta0 149 30 real real JJ cord-291786-66c8xta0 149 31 situation situation NN cord-291786-66c8xta0 149 32 . . . cord-291786-66c8xta0 150 1 However however RB cord-291786-66c8xta0 150 2 , , , cord-291786-66c8xta0 150 3 the the DT cord-291786-66c8xta0 150 4 accuracy accuracy NN cord-291786-66c8xta0 150 5 is be VBZ cord-291786-66c8xta0 150 6 not not RB cord-291786-66c8xta0 150 7 satisfying satisfy VBG cord-291786-66c8xta0 150 8 in in IN cord-291786-66c8xta0 150 9 the the DT cord-291786-66c8xta0 150 10 second second JJ cord-291786-66c8xta0 150 11 stage stage NN cord-291786-66c8xta0 150 12 which which WDT cord-291786-66c8xta0 150 13 shows show VBZ cord-291786-66c8xta0 150 14 that that IN cord-291786-66c8xta0 150 15 the the DT cord-291786-66c8xta0 150 16 real real JJ cord-291786-66c8xta0 150 17 data datum NNS cord-291786-66c8xta0 150 18 are be VBP cord-291786-66c8xta0 150 19 smaller small JJR cord-291786-66c8xta0 150 20 than than IN cord-291786-66c8xta0 150 21 the the DT cord-291786-66c8xta0 150 22 estimated estimate VBN cord-291786-66c8xta0 150 23 values value NNS cord-291786-66c8xta0 150 24 , , , cord-291786-66c8xta0 150 25 but but CC cord-291786-66c8xta0 150 26 the the DT cord-291786-66c8xta0 150 27 trend trend NN cord-291786-66c8xta0 150 28 is be VBZ cord-291786-66c8xta0 150 29 basically basically RB cord-291786-66c8xta0 150 30 the the DT cord-291786-66c8xta0 150 31 same same JJ cord-291786-66c8xta0 150 32 . . . cord-291786-66c8xta0 151 1 There there EX cord-291786-66c8xta0 151 2 are be VBP cord-291786-66c8xta0 151 3 two two CD cord-291786-66c8xta0 151 4 reasons reason NNS cord-291786-66c8xta0 151 5 for for IN cord-291786-66c8xta0 151 6 the the DT cord-291786-66c8xta0 151 7 deviation deviation NN cord-291786-66c8xta0 151 8 . . . cord-291786-66c8xta0 152 1 One one CD cord-291786-66c8xta0 152 2 is be VBZ cord-291786-66c8xta0 152 3 that that IN cord-291786-66c8xta0 152 4 only only RB cord-291786-66c8xta0 152 5 two two CD cord-291786-66c8xta0 152 6 parameters parameter NNS cord-291786-66c8xta0 152 7 , , , cord-291786-66c8xta0 152 8 namely namely RB cord-291786-66c8xta0 152 9 the the DT cord-291786-66c8xta0 152 10 rate rate NN cord-291786-66c8xta0 152 11 of of IN cord-291786-66c8xta0 152 12 infectious infectious JJ cord-291786-66c8xta0 152 13 to to IN cord-291786-66c8xta0 152 14 hospitalized hospitalize VBN cord-291786-66c8xta0 152 15 u u NNP cord-291786-66c8xta0 152 16 and and CC cord-291786-66c8xta0 152 17 the the DT cord-291786-66c8xta0 152 18 recovered recover VBN cord-291786-66c8xta0 152 19 rate rate NN cord-291786-66c8xta0 152 20 of of IN cord-291786-66c8xta0 152 21 quarantined quarantine VBN cord-291786-66c8xta0 152 22 infected infect VBN cord-291786-66c8xta0 152 23 individuals individual NNS cord-291786-66c8xta0 152 24 / / , cord-291786-66c8xta0 152 25 , , , cord-291786-66c8xta0 152 26 are be VBP cord-291786-66c8xta0 152 27 estimated estimate VBN cord-291786-66c8xta0 152 28 , , , cord-291786-66c8xta0 152 29 while while IN cord-291786-66c8xta0 152 30 the the DT cord-291786-66c8xta0 152 31 rest rest NN cord-291786-66c8xta0 152 32 of of IN cord-291786-66c8xta0 152 33 the the DT cord-291786-66c8xta0 152 34 parameters parameter NNS cord-291786-66c8xta0 152 35 are be VBP cord-291786-66c8xta0 152 36 set set VBN cord-291786-66c8xta0 152 37 as as IN cord-291786-66c8xta0 152 38 a a DT cord-291786-66c8xta0 152 39 matter matter NN cord-291786-66c8xta0 152 40 of of IN cord-291786-66c8xta0 152 41 experience experience NN cord-291786-66c8xta0 152 42 . . . cord-291786-66c8xta0 153 1 Moreover moreover RB cord-291786-66c8xta0 153 2 , , , cord-291786-66c8xta0 153 3 the the DT cord-291786-66c8xta0 153 4 control control NN cord-291786-66c8xta0 153 5 measures measure NNS cord-291786-66c8xta0 153 6 for for IN cord-291786-66c8xta0 153 7 containing contain VBG cord-291786-66c8xta0 153 8 the the DT cord-291786-66c8xta0 153 9 Error error NN cord-291786-66c8xta0 153 10 ×10 ×10 NNS cord-291786-66c8xta0 153 11 4 4 CD cord-291786-66c8xta0 153 12 Fig fig NN cord-291786-66c8xta0 153 13 . . . cord-291786-66c8xta0 154 1 3 3 LS cord-291786-66c8xta0 155 1 The the DT cord-291786-66c8xta0 155 2 error error NN cord-291786-66c8xta0 155 3 convergence convergence NN cord-291786-66c8xta0 155 4 curve curve NN cord-291786-66c8xta0 155 5 of of IN cord-291786-66c8xta0 155 6 PSO PSO NNP cord-291786-66c8xta0 155 7 algorithm algorithm NN cord-291786-66c8xta0 155 8 in in IN cord-291786-66c8xta0 155 9 the the DT cord-291786-66c8xta0 155 10 inhibition inhibition NN cord-291786-66c8xta0 155 11 stage stage NN cord-291786-66c8xta0 155 12 outbreak outbreak NN cord-291786-66c8xta0 155 13 are be VBP cord-291786-66c8xta0 155 14 more more JJR cord-291786-66c8xta0 155 15 and and CC cord-291786-66c8xta0 155 16 more more RBR cord-291786-66c8xta0 155 17 powerful powerful JJ cord-291786-66c8xta0 155 18 ; ; : cord-291786-66c8xta0 155 19 thus thus RB cord-291786-66c8xta0 155 20 , , , cord-291786-66c8xta0 155 21 the the DT cord-291786-66c8xta0 155 22 system system NN cord-291786-66c8xta0 155 23 parameter parameter NN cord-291786-66c8xta0 155 24 should should MD cord-291786-66c8xta0 155 25 be be VB cord-291786-66c8xta0 155 26 time time NN cord-291786-66c8xta0 155 27 varying vary VBG cord-291786-66c8xta0 155 28 variables variable NNS cord-291786-66c8xta0 155 29 . . . cord-291786-66c8xta0 156 1 For for IN cord-291786-66c8xta0 156 2 instance instance NN cord-291786-66c8xta0 156 3 , , , cord-291786-66c8xta0 156 4 compared compare VBN cord-291786-66c8xta0 156 5 with with IN cord-291786-66c8xta0 156 6 the the DT cord-291786-66c8xta0 156 7 outbreak outbreak NN cord-291786-66c8xta0 156 8 stage stage NN cord-291786-66c8xta0 156 9 , , , cord-291786-66c8xta0 156 10 the the DT cord-291786-66c8xta0 156 11 hospitalization hospitalization NN cord-291786-66c8xta0 156 12 rate rate NN cord-291786-66c8xta0 156 13 decreased decrease VBD cord-291786-66c8xta0 156 14 a a DT cord-291786-66c8xta0 156 15 lot lot NN cord-291786-66c8xta0 156 16 , , , cord-291786-66c8xta0 156 17 and and CC cord-291786-66c8xta0 156 18 the the DT cord-291786-66c8xta0 156 19 cure cure NN cord-291786-66c8xta0 156 20 rate rate NN cord-291786-66c8xta0 156 21 increased increase VBD cord-291786-66c8xta0 156 22 nearly nearly RB cord-291786-66c8xta0 156 23 four four CD cord-291786-66c8xta0 156 24 times time NNS cord-291786-66c8xta0 156 25 , , , cord-291786-66c8xta0 156 26 which which WDT cord-291786-66c8xta0 156 27 means mean VBZ cord-291786-66c8xta0 156 28 that that IN cord-291786-66c8xta0 156 29 the the DT cord-291786-66c8xta0 156 30 number number NN cord-291786-66c8xta0 156 31 of of IN cord-291786-66c8xta0 156 32 confirmed confirm VBN cord-291786-66c8xta0 156 33 infected infected JJ cord-291786-66c8xta0 156 34 cases case NNS cord-291786-66c8xta0 156 35 is be VBZ cord-291786-66c8xta0 156 36 declining decline VBG cord-291786-66c8xta0 156 37 a a DT cord-291786-66c8xta0 156 38 lot lot NN cord-291786-66c8xta0 156 39 and and CC cord-291786-66c8xta0 156 40 the the DT cord-291786-66c8xta0 156 41 number number NN cord-291786-66c8xta0 156 42 of of IN cord-291786-66c8xta0 156 43 patients patient NNS cord-291786-66c8xta0 156 44 recovering recover VBG cord-291786-66c8xta0 156 45 is be VBZ cord-291786-66c8xta0 156 46 increasing increase VBG cord-291786-66c8xta0 156 47 rapidly rapidly RB cord-291786-66c8xta0 156 48 . . . cord-291786-66c8xta0 157 1 4 4 CD cord-291786-66c8xta0 157 2 Nonlinear nonlinear JJ cord-291786-66c8xta0 157 3 dynamics dynamic NNS cord-291786-66c8xta0 157 4 of of IN cord-291786-66c8xta0 157 5 the the DT cord-291786-66c8xta0 157 6 model model NN cord-291786-66c8xta0 157 7 The the DT cord-291786-66c8xta0 157 8 0 0 CD cord-291786-66c8xta0 157 9 - - SYM cord-291786-66c8xta0 157 10 1 1 CD cord-291786-66c8xta0 157 11 test test NN cord-291786-66c8xta0 157 12 algorithm algorithm NN cord-291786-66c8xta0 157 13 is be VBZ cord-291786-66c8xta0 157 14 employed employ VBN cord-291786-66c8xta0 157 15 to to TO cord-291786-66c8xta0 157 16 verify verify VB cord-291786-66c8xta0 157 17 the the DT cord-291786-66c8xta0 157 18 existence existence NN cord-291786-66c8xta0 157 19 of of IN cord-291786-66c8xta0 157 20 chaos chaos NN cord-291786-66c8xta0 157 21 in in IN cord-291786-66c8xta0 157 22 the the DT cord-291786-66c8xta0 157 23 model model NN cord-291786-66c8xta0 157 24 . . . cord-291786-66c8xta0 158 1 If if IN cord-291786-66c8xta0 158 2 a a DT cord-291786-66c8xta0 158 3 set set NN cord-291786-66c8xta0 158 4 of of IN cord-291786-66c8xta0 158 5 discrete discrete JJ cord-291786-66c8xta0 158 6 time time NN cord-291786-66c8xta0 158 7 series series NNP cord-291786-66c8xta0 158 8 xðnÞðn xðnÞðn NNP cord-291786-66c8xta0 158 9 ¼ ¼ NNP cord-291786-66c8xta0 158 10 1 1 CD cord-291786-66c8xta0 158 11 ; ; : cord-291786-66c8xta0 158 12 2 2 CD cord-291786-66c8xta0 158 13 ; ; : cord-291786-66c8xta0 158 14 3 3 CD cord-291786-66c8xta0 158 15 ; ; , cord-291786-66c8xta0 158 16 . . . cord-291786-66c8xta0 158 17 . . . cord-291786-66c8xta0 158 18 .Þ .Þ NFP cord-291786-66c8xta0 158 19 represents represent VBZ cord-291786-66c8xta0 158 20 a a DT cord-291786-66c8xta0 158 21 one one CD cord-291786-66c8xta0 158 22 - - HYPH cord-291786-66c8xta0 158 23 dimensional dimensional JJ cord-291786-66c8xta0 158 24 observable observable JJ cord-291786-66c8xta0 158 25 data datum NNS cord-291786-66c8xta0 158 26 set set VBN cord-291786-66c8xta0 158 27 obtained obtain VBN cord-291786-66c8xta0 158 28 from from IN cord-291786-66c8xta0 158 29 the the DT cord-291786-66c8xta0 158 30 modified modify VBN cord-291786-66c8xta0 158 31 SEIR seir NN cord-291786-66c8xta0 158 32 system system NN cord-291786-66c8xta0 158 33 , , , cord-291786-66c8xta0 158 34 then then RB cord-291786-66c8xta0 158 35 the the DT cord-291786-66c8xta0 158 36 following follow VBG cord-291786-66c8xta0 158 37 two two CD cord-291786-66c8xta0 158 38 real real RB cord-291786-66c8xta0 158 39 - - HYPH cord-291786-66c8xta0 158 40 valued value VBN cord-291786-66c8xta0 158 41 sequences sequence NNS cord-291786-66c8xta0 158 42 are be VBP cord-291786-66c8xta0 158 43 defined define VBN cord-291786-66c8xta0 158 44 as as IN cord-291786-66c8xta0 158 45 [ [ -LRB- cord-291786-66c8xta0 158 46 30 30 CD cord-291786-66c8xta0 158 47 ] ] -RRB- cord-291786-66c8xta0 158 48 p p NN cord-291786-66c8xta0 158 49 n n NN cord-291786-66c8xta0 158 50 ð ð NN cord-291786-66c8xta0 158 51 Þ þ NN cord-291786-66c8xta0 158 52 ¼ ¼ NN cord-291786-66c8xta0 158 53 x x SYM cord-291786-66c8xta0 158 54 i i NN cord-291786-66c8xta0 158 55 ð ð NN cord-291786-66c8xta0 158 56 Þ Þ NNP cord-291786-66c8xta0 158 57 , , , cord-291786-66c8xta0 158 58 and and CC cord-291786-66c8xta0 158 59 g g NN cord-291786-66c8xta0 158 60 2 2 CD cord-291786-66c8xta0 158 61 p p NN cord-291786-66c8xta0 158 62 5 5 CD cord-291786-66c8xta0 158 63 ; ; : cord-291786-66c8xta0 158 64 4p 4p CD cord-291786-66c8xta0 158 65 5 5 CD cord-291786-66c8xta0 158 66  â NN cord-291786-66c8xta0 158 67 à ã NN cord-291786-66c8xta0 158 68 . . . cord-291786-66c8xta0 159 1 By by IN cord-291786-66c8xta0 159 2 plotting plot VBG cord-291786-66c8xta0 159 3 the the DT cord-291786-66c8xta0 159 4 trajectories trajectory NNS cord-291786-66c8xta0 159 5 in in IN cord-291786-66c8xta0 159 6 the the DT cord-291786-66c8xta0 159 7 ( ( -LRB- cord-291786-66c8xta0 159 8 p p NN cord-291786-66c8xta0 159 9 , , , cord-291786-66c8xta0 159 10 s)-plane s)-plane NNP cord-291786-66c8xta0 159 11 , , , cord-291786-66c8xta0 159 12 the the DT cord-291786-66c8xta0 159 13 state state NN cord-291786-66c8xta0 159 14 of of IN cord-291786-66c8xta0 159 15 the the DT cord-291786-66c8xta0 159 16 system system NN cord-291786-66c8xta0 159 17 can can MD cord-291786-66c8xta0 159 18 be be VB cord-291786-66c8xta0 159 19 identified identify VBN cord-291786-66c8xta0 159 20 . . . cord-291786-66c8xta0 160 1 Usually usually RB cord-291786-66c8xta0 160 2 , , , cord-291786-66c8xta0 160 3 the the DT cord-291786-66c8xta0 160 4 bounded bound VBN cord-291786-66c8xta0 160 5 trajectories trajectory NNS cord-291786-66c8xta0 160 6 in in IN cord-291786-66c8xta0 160 7 the the DT cord-291786-66c8xta0 160 8 ( ( -LRB- cord-291786-66c8xta0 160 9 p p NN cord-291786-66c8xta0 160 10 , , , cord-291786-66c8xta0 160 11 s)-plane s)-plane NNP cord-291786-66c8xta0 160 12 imply imply VBP cord-291786-66c8xta0 160 13 the the DT cord-291786-66c8xta0 160 14 dynamics dynamic NNS cord-291786-66c8xta0 160 15 of of IN cord-291786-66c8xta0 160 16 the the DT cord-291786-66c8xta0 160 17 time time NN cord-291786-66c8xta0 160 18 series series NNP cord-291786-66c8xta0 160 19 is be VBZ cord-291786-66c8xta0 160 20 regular regular JJ cord-291786-66c8xta0 160 21 , , , cord-291786-66c8xta0 160 22 while while IN cord-291786-66c8xta0 160 23 Brownian Brownian NNP cord-291786-66c8xta0 160 24 - - HYPH cord-291786-66c8xta0 160 25 like like JJ cord-291786-66c8xta0 160 26 ( ( -LRB- cord-291786-66c8xta0 160 27 unbounded unbounded JJ cord-291786-66c8xta0 160 28 ) ) -RRB- cord-291786-66c8xta0 160 29 trajectories trajectory NNS cord-291786-66c8xta0 160 30 imply imply VBP cord-291786-66c8xta0 160 31 chaos chaos NN cord-291786-66c8xta0 160 32 . . . cord-291786-66c8xta0 161 1 The the DT cord-291786-66c8xta0 161 2 seasonality seasonality NN cord-291786-66c8xta0 161 3 is be VBZ cord-291786-66c8xta0 161 4 widely widely RB cord-291786-66c8xta0 161 5 found find VBN cord-291786-66c8xta0 161 6 in in IN cord-291786-66c8xta0 161 7 the the DT cord-291786-66c8xta0 161 8 epidemic epidemic NN cord-291786-66c8xta0 161 9 models model NNS cord-291786-66c8xta0 161 10 [ [ -LRB- cord-291786-66c8xta0 161 11 26 26 CD cord-291786-66c8xta0 161 12 , , , cord-291786-66c8xta0 161 13 29 29 CD cord-291786-66c8xta0 161 14 ] ] -RRB- cord-291786-66c8xta0 161 15 , , , cord-291786-66c8xta0 161 16 and and CC cord-291786-66c8xta0 161 17 it -PRON- PRP cord-291786-66c8xta0 161 18 can can MD cord-291786-66c8xta0 161 19 make make VB cord-291786-66c8xta0 161 20 the the DT cord-291786-66c8xta0 161 21 system system NN cord-291786-66c8xta0 161 22 more more RBR cord-291786-66c8xta0 161 23 complex complex JJ cord-291786-66c8xta0 161 24 . . . cord-291786-66c8xta0 162 1 Indeed indeed RB cord-291786-66c8xta0 162 2 , , , cord-291786-66c8xta0 162 3 there there EX cord-291786-66c8xta0 162 4 is be VBZ cord-291786-66c8xta0 162 5 no no DT cord-291786-66c8xta0 162 6 report report NN cord-291786-66c8xta0 162 7 showing show VBG cord-291786-66c8xta0 162 8 that that IN cord-291786-66c8xta0 162 9 the the DT cord-291786-66c8xta0 162 10 effect effect NN cord-291786-66c8xta0 162 11 of of IN cord-291786-66c8xta0 162 12 seasonality seasonality NN cord-291786-66c8xta0 162 13 for for IN cord-291786-66c8xta0 162 14 COVID-19 covid-19 JJ cord-291786-66c8xta0 162 15 spread spread NN cord-291786-66c8xta0 162 16 since since IN cord-291786-66c8xta0 162 17 this this DT cord-291786-66c8xta0 162 18 epidemic epidemic NN cord-291786-66c8xta0 162 19 outbreaks outbreak NNS cord-291786-66c8xta0 162 20 only only RB cord-291786-66c8xta0 162 21 about about IN cord-291786-66c8xta0 162 22 half half JJ cord-291786-66c8xta0 162 23 year year NN cord-291786-66c8xta0 162 24 until until IN cord-291786-66c8xta0 162 25 now now RB cord-291786-66c8xta0 162 26 . . . cord-291786-66c8xta0 163 1 But but CC cord-291786-66c8xta0 163 2 we -PRON- PRP cord-291786-66c8xta0 163 3 try try VBP cord-291786-66c8xta0 163 4 to to TO cord-291786-66c8xta0 163 5 introduce introduce VB cord-291786-66c8xta0 163 6 the the DT cord-291786-66c8xta0 163 7 seasonality seasonality NN cord-291786-66c8xta0 163 8 to to IN cord-291786-66c8xta0 163 9 the the DT cord-291786-66c8xta0 163 10 system system NN cord-291786-66c8xta0 163 11 and and CC cord-291786-66c8xta0 163 12 analyze analyze VB cord-291786-66c8xta0 163 13 chaos chaos NN cord-291786-66c8xta0 163 14 in in IN cord-291786-66c8xta0 163 15 the the DT cord-291786-66c8xta0 163 16 system system NN cord-291786-66c8xta0 163 17 from from IN cord-291786-66c8xta0 163 18 an an DT cord-291786-66c8xta0 163 19 academic academic JJ cord-291786-66c8xta0 163 20 point point NN cord-291786-66c8xta0 163 21 of of IN cord-291786-66c8xta0 163 22 view view NN cord-291786-66c8xta0 163 23 . . . cord-291786-66c8xta0 164 1 Meanwhile meanwhile RB cord-291786-66c8xta0 164 2 , , , cord-291786-66c8xta0 164 3 there there EX cord-291786-66c8xta0 164 4 are be VBP cord-291786-66c8xta0 164 5 individual individual JJ cord-291786-66c8xta0 164 6 differences difference NNS cord-291786-66c8xta0 164 7 and and CC cord-291786-66c8xta0 164 8 many many JJ cord-291786-66c8xta0 164 9 unpredictable unpredictable JJ cord-291786-66c8xta0 164 10 factors factor NNS cord-291786-66c8xta0 164 11 in in IN cord-291786-66c8xta0 164 12 the the DT cord-291786-66c8xta0 164 13 epidemic epidemic NN cord-291786-66c8xta0 164 14 infection infection NN cord-291786-66c8xta0 164 15 . . . cord-291786-66c8xta0 165 1 Thus thus RB cord-291786-66c8xta0 165 2 , , , cord-291786-66c8xta0 165 3 the the DT cord-291786-66c8xta0 165 4 noise noise NN cord-291786-66c8xta0 165 5 is be VBZ cord-291786-66c8xta0 165 6 an an DT cord-291786-66c8xta0 165 7 important important JJ cord-291786-66c8xta0 165 8 factor factor NN cord-291786-66c8xta0 165 9 considered consider VBN cord-291786-66c8xta0 165 10 in in IN cord-291786-66c8xta0 165 11 our -PRON- PRP$ cord-291786-66c8xta0 165 12 analysis analysis NN cord-291786-66c8xta0 165 13 . . . cord-291786-66c8xta0 166 1 Here here RB cord-291786-66c8xta0 166 2 , , , cord-291786-66c8xta0 166 3 three three CD cord-291786-66c8xta0 166 4 cases case NNS cord-291786-66c8xta0 166 5 are be VBP cord-291786-66c8xta0 166 6 analyzed analyze VBN cord-291786-66c8xta0 166 7 to to TO cord-291786-66c8xta0 166 8 show show VB cord-291786-66c8xta0 166 9 how how WRB cord-291786-66c8xta0 166 10 the the DT cord-291786-66c8xta0 166 11 system system NN cord-291786-66c8xta0 166 12 parameter parameter NN cord-291786-66c8xta0 166 13 a a NN cord-291786-66c8xta0 166 14 , , , cord-291786-66c8xta0 166 15 seasonality seasonality NN cord-291786-66c8xta0 166 16 and and CC cord-291786-66c8xta0 166 17 stochastic stochastic JJ cord-291786-66c8xta0 166 18 infection infection NN cord-291786-66c8xta0 166 19 affect affect VBP cord-291786-66c8xta0 166 20 the the DT cord-291786-66c8xta0 166 21 dynamics dynamic NNS cord-291786-66c8xta0 166 22 of of IN cord-291786-66c8xta0 166 23 the the DT cord-291786-66c8xta0 166 24 system system NN cord-291786-66c8xta0 166 25 . . . cord-291786-66c8xta0 167 1 Case case NN cord-291786-66c8xta0 167 2 1 1 CD cord-291786-66c8xta0 168 1 : : : cord-291786-66c8xta0 168 2 The the DT cord-291786-66c8xta0 168 3 parameter parameter NN cord-291786-66c8xta0 168 4 b b NN cord-291786-66c8xta0 168 5 1 1 CD cord-291786-66c8xta0 168 6 contains contain VBZ cord-291786-66c8xta0 168 7 seasonality seasonality NN cord-291786-66c8xta0 168 8 and and CC cord-291786-66c8xta0 168 9 stochastic stochastic JJ cord-291786-66c8xta0 168 10 infection infection NN cord-291786-66c8xta0 168 11 , , , cord-291786-66c8xta0 168 12 and and CC cord-291786-66c8xta0 168 13 the the DT cord-291786-66c8xta0 168 14 three three CD cord-291786-66c8xta0 168 15 contact contact NN cord-291786-66c8xta0 168 16 and and CC cord-291786-66c8xta0 168 17 infection infection NN cord-291786-66c8xta0 168 18 rate rate NN cord-291786-66c8xta0 168 19 parameters parameter NNS cord-291786-66c8xta0 168 20 are be VBP cord-291786-66c8xta0 168 21 defined define VBN cord-291786-66c8xta0 168 22 as as IN cord-291786-66c8xta0 168 23 where where WRB cord-291786-66c8xta0 168 24 b b NN cord-291786-66c8xta0 168 25 0 0 CD cord-291786-66c8xta0 168 26 ¼ ¼ CD cord-291786-66c8xta0 168 27 2 2 CD cord-291786-66c8xta0 168 28  â NN cord-291786-66c8xta0 168 29 b b NN cord-291786-66c8xta0 168 30 1 1 CD cord-291786-66c8xta0 169 1 ¼ ¼ NNP cord-291786-66c8xta0 169 2 60 60 CD cord-291786-66c8xta0 170 1 , , , cord-291786-66c8xta0 170 2 e e NN cord-291786-66c8xta0 170 3 1 1 CD cord-291786-66c8xta0 170 4 and and CC cord-291786-66c8xta0 170 5 e e SYM cord-291786-66c8xta0 170 6 2 2 CD cord-291786-66c8xta0 170 7 are be VBP cord-291786-66c8xta0 170 8 degree degree NN cord-291786-66c8xta0 170 9 of of IN cord-291786-66c8xta0 170 10 the the DT cord-291786-66c8xta0 170 11 seasonality seasonality NN cord-291786-66c8xta0 170 12 and and CC cord-291786-66c8xta0 170 13 stochastic stochastic JJ cord-291786-66c8xta0 170 14 infection infection NN cord-291786-66c8xta0 170 15 , , , cord-291786-66c8xta0 170 16 respectively respectively RB cord-291786-66c8xta0 170 17 . . . cord-291786-66c8xta0 171 1 n n NNP cord-291786-66c8xta0 172 1 t t NNP cord-291786-66c8xta0 172 2 ð ð NN cord-291786-66c8xta0 172 3 Þ Þ NNP cord-291786-66c8xta0 172 4 h h NN cord-291786-66c8xta0 173 1 i i PRP cord-291786-66c8xta0 173 2 is be VBZ cord-291786-66c8xta0 173 3 the the DT cord-291786-66c8xta0 173 4 white white JJ cord-291786-66c8xta0 173 5 Gaussian gaussian JJ cord-291786-66c8xta0 173 6 independent independent JJ cord-291786-66c8xta0 173 7 noises noise NNS cord-291786-66c8xta0 173 8 , , , cord-291786-66c8xta0 173 9 and and CC cord-291786-66c8xta0 173 10 it -PRON- PRP cord-291786-66c8xta0 173 11 has have VBZ cord-291786-66c8xta0 173 12 the the DT cord-291786-66c8xta0 173 13 properties property NNS cord-291786-66c8xta0 173 14 of of IN cord-291786-66c8xta0 173 15 n n NN cord-291786-66c8xta0 173 16 t t NN cord-291786-66c8xta0 173 17 ð ð NN cord-291786-66c8xta0 173 18 Þ Þ NNP cord-291786-66c8xta0 173 19 h h NN cord-291786-66c8xta0 173 20 i i NN cord-291786-66c8xta0 173 21 ¼ ¼ NNP cord-291786-66c8xta0 173 22 0 0 NFP cord-291786-66c8xta0 173 23 and and CC cord-291786-66c8xta0 173 24 n n CC cord-291786-66c8xta0 173 25 t t NN cord-291786-66c8xta0 173 26 ð ð NN cord-291786-66c8xta0 173 27 Þ Þ NNP cord-291786-66c8xta0 173 28 ; ; . cord-291786-66c8xta0 174 1 n n NNP cord-291786-66c8xta0 174 2 s s NNP cord-291786-66c8xta0 174 3 ð ð NN cord-291786-66c8xta0 174 4 Þ þ NN cord-291786-66c8xta0 174 5 h h NN cord-291786-66c8xta0 174 6 i¼ i¼ XX cord-291786-66c8xta0 175 1 d d NNP cord-291786-66c8xta0 175 2 t t NNP cord-291786-66c8xta0 175 3 À à NN cord-291786-66c8xta0 175 4 s s NN cord-291786-66c8xta0 175 5 ð ð NN cord-291786-66c8xta0 175 6 Þ. þ. NN cord-291786-66c8xta0 176 1 The the DT cord-291786-66c8xta0 176 2 analysis analysis NN cord-291786-66c8xta0 176 3 results result NNS cord-291786-66c8xta0 176 4 of of IN cord-291786-66c8xta0 176 5 the the DT cord-291786-66c8xta0 176 6 system system NN cord-291786-66c8xta0 176 7 with with IN cord-291786-66c8xta0 176 8 different different JJ cord-291786-66c8xta0 176 9 parameters parameter NNS cord-291786-66c8xta0 176 10 are be VBP cord-291786-66c8xta0 176 11 shown show VBN cord-291786-66c8xta0 176 12 in in IN cord-291786-66c8xta0 176 13 Fig Fig NNP cord-291786-66c8xta0 176 14 . . . cord-291786-66c8xta0 177 1 5 5 LS cord-291786-66c8xta0 177 2 . . . cord-291786-66c8xta0 178 1 In in IN cord-291786-66c8xta0 178 2 Fig Fig NNP cord-291786-66c8xta0 178 3 . . . cord-291786-66c8xta0 179 1 5a 5a LS cord-291786-66c8xta0 179 2 , , , cord-291786-66c8xta0 179 3 b b NN cord-291786-66c8xta0 179 4 , , , cord-291786-66c8xta0 179 5 we -PRON- PRP cord-291786-66c8xta0 179 6 set set VBP cord-291786-66c8xta0 179 7 e e NN cord-291786-66c8xta0 179 8 1 1 CD cord-291786-66c8xta0 179 9 ¼ ¼ CD cord-291786-66c8xta0 179 10 0 0 CD cord-291786-66c8xta0 179 11 , , , cord-291786-66c8xta0 179 12 e e NN cord-291786-66c8xta0 179 13 2 2 CD cord-291786-66c8xta0 179 14 ¼ ¼ CD cord-291786-66c8xta0 179 15 0 0 CD cord-291786-66c8xta0 179 16 and and CC cord-291786-66c8xta0 180 1 a a DT cord-291786-66c8xta0 180 2 ¼ ¼ NNP cord-291786-66c8xta0 180 3 0:08 0:08 UH cord-291786-66c8xta0 180 4 . . . cord-291786-66c8xta0 181 1 It -PRON- PRP cord-291786-66c8xta0 181 2 shows show VBZ cord-291786-66c8xta0 181 3 that that IN cord-291786-66c8xta0 181 4 the the DT cord-291786-66c8xta0 181 5 system system NN cord-291786-66c8xta0 181 6 is be VBZ cord-291786-66c8xta0 181 7 convergent convergent JJ cord-291786-66c8xta0 181 8 to to IN cord-291786-66c8xta0 181 9 a a DT cord-291786-66c8xta0 181 10 limited limited JJ cord-291786-66c8xta0 181 11 region region NN cord-291786-66c8xta0 181 12 . . . cord-291786-66c8xta0 182 1 Thus thus RB cord-291786-66c8xta0 182 2 , , , cord-291786-66c8xta0 182 3 the the DT cord-291786-66c8xta0 182 4 system system NN cord-291786-66c8xta0 182 5 is be VBZ cord-291786-66c8xta0 182 6 not not RB cord-291786-66c8xta0 182 7 chaotic chaotic JJ cord-291786-66c8xta0 182 8 without without IN cord-291786-66c8xta0 182 9 the the DT cord-291786-66c8xta0 182 10 seasonality seasonality NN cord-291786-66c8xta0 182 11 and and CC cord-291786-66c8xta0 182 12 stochastic stochastic JJ cord-291786-66c8xta0 182 13 infection infection NN cord-291786-66c8xta0 182 14 . . . cord-291786-66c8xta0 183 1 When when WRB cord-291786-66c8xta0 183 2 e e NN cord-291786-66c8xta0 183 3 1 1 CD cord-291786-66c8xta0 183 4 ¼ ¼ CD cord-291786-66c8xta0 183 5 0:8 0:8 CD cord-291786-66c8xta0 183 6 and and CC cord-291786-66c8xta0 183 7 e e NN cord-291786-66c8xta0 183 8 2 2 CD cord-291786-66c8xta0 183 9 ¼ ¼ CD cord-291786-66c8xta0 183 10 0 0 CD cord-291786-66c8xta0 183 11 , , , cord-291786-66c8xta0 183 12 the the DT cord-291786-66c8xta0 183 13 system system NN cord-291786-66c8xta0 183 14 has have VBZ cord-291786-66c8xta0 183 15 seasonality seasonality NN cord-291786-66c8xta0 183 16 but but CC cord-291786-66c8xta0 183 17 no no DT cord-291786-66c8xta0 183 18 stochastic stochastic JJ cord-291786-66c8xta0 183 19 infection infection NN cord-291786-66c8xta0 183 20 . . . cord-291786-66c8xta0 184 1 It -PRON- PRP cord-291786-66c8xta0 184 2 shows show VBZ cord-291786-66c8xta0 184 3 that that IN cord-291786-66c8xta0 184 4 Fig Fig NNP cord-291786-66c8xta0 184 5 . . . cord-291786-66c8xta0 185 1 4 4 LS cord-291786-66c8xta0 186 1 Actual actual JJ cord-291786-66c8xta0 186 2 and and CC cord-291786-66c8xta0 186 3 estimated estimate VBN cord-291786-66c8xta0 186 4 trajectories trajectory NNS cord-291786-66c8xta0 186 5 for for IN cord-291786-66c8xta0 186 6 the the DT cord-291786-66c8xta0 186 7 epidemic epidemic NN cord-291786-66c8xta0 186 8 situation situation NN cord-291786-66c8xta0 186 9 in in IN cord-291786-66c8xta0 186 10 Hubei Hubei NNP cord-291786-66c8xta0 186 11 province province NN cord-291786-66c8xta0 186 12 the the DT cord-291786-66c8xta0 186 13 system system NN cord-291786-66c8xta0 186 14 now now RB cord-291786-66c8xta0 186 15 is be VBZ cord-291786-66c8xta0 186 16 chaotic chaotic JJ cord-291786-66c8xta0 186 17 according accord VBG cord-291786-66c8xta0 186 18 to to IN cord-291786-66c8xta0 186 19 the the DT cord-291786-66c8xta0 186 20 p p NN cord-291786-66c8xta0 186 21 À à NN cord-291786-66c8xta0 186 22 s s NN cord-291786-66c8xta0 186 23 plot plot NN cord-291786-66c8xta0 186 24 . . . cord-291786-66c8xta0 187 1 As as IN cord-291786-66c8xta0 187 2 shown show VBN cord-291786-66c8xta0 187 3 in in IN cord-291786-66c8xta0 187 4 Fig Fig NNP cord-291786-66c8xta0 187 5 . . . cord-291786-66c8xta0 188 1 5c 5c NNP cord-291786-66c8xta0 188 2 that that IN cord-291786-66c8xta0 188 3 the the DT cord-291786-66c8xta0 188 4 attractor attractor NN cord-291786-66c8xta0 188 5 looks look VBZ cord-291786-66c8xta0 188 6 like like IN cord-291786-66c8xta0 188 7 a a DT cord-291786-66c8xta0 188 8 limited limited JJ cord-291786-66c8xta0 188 9 circle circle NN cord-291786-66c8xta0 188 10 . . . cord-291786-66c8xta0 189 1 However however RB cord-291786-66c8xta0 189 2 , , , cord-291786-66c8xta0 189 3 there there EX cord-291786-66c8xta0 189 4 are be VBP cord-291786-66c8xta0 189 5 many many JJ cord-291786-66c8xta0 189 6 lines line NNS cord-291786-66c8xta0 189 7 in in IN cord-291786-66c8xta0 189 8 the the DT cord-291786-66c8xta0 189 9 ' ' `` cord-291786-66c8xta0 189 10 ' ' `` cord-291786-66c8xta0 189 11 circle circle NN cord-291786-66c8xta0 189 12 ' ' '' cord-291786-66c8xta0 189 13 ' ' '' cord-291786-66c8xta0 189 14 as as IN cord-291786-66c8xta0 189 15 it -PRON- PRP cord-291786-66c8xta0 189 16 is be VBZ cord-291786-66c8xta0 189 17 illustrated illustrate VBN cord-291786-66c8xta0 189 18 in in IN cord-291786-66c8xta0 189 19 Fig Fig NNP cord-291786-66c8xta0 189 20 . . . cord-291786-66c8xta0 189 21 5d 5d NNP cord-291786-66c8xta0 189 22 . . . cord-291786-66c8xta0 190 1 If if IN cord-291786-66c8xta0 190 2 e e NN cord-291786-66c8xta0 190 3 1 1 CD cord-291786-66c8xta0 190 4 ¼ ¼ CD cord-291786-66c8xta0 190 5 0:8 0:8 CD cord-291786-66c8xta0 190 6 and and CC cord-291786-66c8xta0 190 7 e e NN cord-291786-66c8xta0 190 8 2 2 CD cord-291786-66c8xta0 190 9 ¼ ¼ CD cord-291786-66c8xta0 190 10 0:2 0:2 CD cord-291786-66c8xta0 190 11 , , , cord-291786-66c8xta0 190 12 there there EX cord-291786-66c8xta0 190 13 are be VBP cord-291786-66c8xta0 190 14 both both DT cord-291786-66c8xta0 190 15 seasonality seasonality NN cord-291786-66c8xta0 190 16 and and CC cord-291786-66c8xta0 190 17 stochastic stochastic JJ cord-291786-66c8xta0 190 18 infection infection NN cord-291786-66c8xta0 190 19 in in IN cord-291786-66c8xta0 190 20 the the DT cord-291786-66c8xta0 190 21 system system NN cord-291786-66c8xta0 190 22 . . . cord-291786-66c8xta0 191 1 At at IN cord-291786-66c8xta0 191 2 this this DT cord-291786-66c8xta0 191 3 time time NN cord-291786-66c8xta0 191 4 , , , cord-291786-66c8xta0 191 5 the the DT cord-291786-66c8xta0 191 6 complex complex JJ cord-291786-66c8xta0 191 7 dynamics dynamic NNS cord-291786-66c8xta0 191 8 is be VBZ cord-291786-66c8xta0 191 9 observed observe VBN cord-291786-66c8xta0 191 10 in in IN cord-291786-66c8xta0 191 11 the the DT cord-291786-66c8xta0 191 12 system system NN cord-291786-66c8xta0 191 13 , , , cord-291786-66c8xta0 191 14 as as IN cord-291786-66c8xta0 191 15 shown show VBN cord-291786-66c8xta0 191 16 in in IN cord-291786-66c8xta0 191 17 Fig Fig NNP cord-291786-66c8xta0 191 18 . . . cord-291786-66c8xta0 192 1 5f 5f NNP cord-291786-66c8xta0 192 2 -h -h NNP cord-291786-66c8xta0 192 3 . . . cord-291786-66c8xta0 193 1 Case case NN cord-291786-66c8xta0 193 2 2 2 CD cord-291786-66c8xta0 193 3 : : : cord-291786-66c8xta0 194 1 The the DT cord-291786-66c8xta0 194 2 parameter parameter NN cord-291786-66c8xta0 194 3 b b NN cord-291786-66c8xta0 194 4 2 2 CD cord-291786-66c8xta0 194 5 contains contain VBZ cord-291786-66c8xta0 194 6 seasonality seasonality NN cord-291786-66c8xta0 194 7 and and CC cord-291786-66c8xta0 194 8 stochastic stochastic JJ cord-291786-66c8xta0 194 9 infection infection NN cord-291786-66c8xta0 194 10 , , , cord-291786-66c8xta0 194 11 while while IN cord-291786-66c8xta0 194 12 the the DT cord-291786-66c8xta0 194 13 other other JJ cord-291786-66c8xta0 194 14 two two CD cord-291786-66c8xta0 194 15 infection infection NN cord-291786-66c8xta0 194 16 rate rate NN cord-291786-66c8xta0 194 17 parameters parameter NNS cord-291786-66c8xta0 194 18 are be VBP cord-291786-66c8xta0 194 19 constants constant NNS cord-291786-66c8xta0 194 20 . . . cord-291786-66c8xta0 195 1 Thus thus RB cord-291786-66c8xta0 195 2 , , , cord-291786-66c8xta0 195 3 the the DT cord-291786-66c8xta0 195 4 parameters parameter NNS cord-291786-66c8xta0 195 5 are be VBP cord-291786-66c8xta0 195 6 defined define VBN cord-291786-66c8xta0 195 7 as as IN cord-291786-66c8xta0 195 8 where where WRB cord-291786-66c8xta0 195 9 b b NN cord-291786-66c8xta0 195 10 0 0 CD cord-291786-66c8xta0 195 11 ¼ ¼ CD cord-291786-66c8xta0 195 12 2 2 CD cord-291786-66c8xta0 195 13  â NN cord-291786-66c8xta0 195 14 b b NN cord-291786-66c8xta0 195 15 2 2 CD cord-291786-66c8xta0 195 16 ¼ ¼ CD cord-291786-66c8xta0 195 17 60 60 CD cord-291786-66c8xta0 195 18 , , , cord-291786-66c8xta0 195 19 e e NN cord-291786-66c8xta0 195 20 1 1 CD cord-291786-66c8xta0 195 21 and and CC cord-291786-66c8xta0 195 22 e e SYM cord-291786-66c8xta0 195 23 2 2 CD cord-291786-66c8xta0 195 24 are be VBP cord-291786-66c8xta0 195 25 the the DT cord-291786-66c8xta0 195 26 degree degree NN cord-291786-66c8xta0 195 27 of of IN cord-291786-66c8xta0 195 28 the the DT cord-291786-66c8xta0 195 29 seasonality seasonality NN cord-291786-66c8xta0 195 30 and and CC cord-291786-66c8xta0 195 31 stochastic stochastic JJ cord-291786-66c8xta0 195 32 infection infection NN cord-291786-66c8xta0 195 33 , , , cord-291786-66c8xta0 195 34 respectively respectively RB cord-291786-66c8xta0 195 35 . . . cord-291786-66c8xta0 196 1 Firstly firstly RB cord-291786-66c8xta0 196 2 , , , cord-291786-66c8xta0 196 3 we -PRON- PRP cord-291786-66c8xta0 196 4 let let VBP cord-291786-66c8xta0 196 5 e e NN cord-291786-66c8xta0 196 6 1 1 CD cord-291786-66c8xta0 196 7 ¼ ¼ CD cord-291786-66c8xta0 196 8 0:8 0:8 CD cord-291786-66c8xta0 196 9 and and CC cord-291786-66c8xta0 196 10 e e NN cord-291786-66c8xta0 196 11 2 2 CD cord-291786-66c8xta0 196 12 ¼ ¼ CD cord-291786-66c8xta0 196 13 0 0 CD cord-291786-66c8xta0 196 14 . . . cord-291786-66c8xta0 197 1 If if IN cord-291786-66c8xta0 197 2 a a DT cord-291786-66c8xta0 197 3 ¼ ¼ CD cord-291786-66c8xta0 197 4 0:02 0:02 NNP cord-291786-66c8xta0 197 5 , , , cord-291786-66c8xta0 197 6 a a DT cord-291786-66c8xta0 197 7 ¼ ¼ NNP cord-291786-66c8xta0 197 8 0:03 0:03 NNP cord-291786-66c8xta0 197 9 , , , cord-291786-66c8xta0 197 10 a a DT cord-291786-66c8xta0 197 11 ¼ ¼ CD cord-291786-66c8xta0 197 12 0:04747 0:04747 NFP cord-291786-66c8xta0 197 13 and and CC cord-291786-66c8xta0 197 14 a a DT cord-291786-66c8xta0 197 15 ¼ ¼ NNP cord-291786-66c8xta0 197 16 0:08 0:08 UH cord-291786-66c8xta0 197 17 , , , cord-291786-66c8xta0 197 18 different different JJ cord-291786-66c8xta0 197 19 kinds kind NNS cord-291786-66c8xta0 197 20 of of IN cord-291786-66c8xta0 197 21 chaotic chaotic JJ cord-291786-66c8xta0 197 22 attractors attractor NNS cord-291786-66c8xta0 197 23 are be VBP cord-291786-66c8xta0 197 24 shown show VBN cord-291786-66c8xta0 197 25 in in IN cord-291786-66c8xta0 197 26 Fig Fig NNP cord-291786-66c8xta0 197 27 . . . cord-291786-66c8xta0 198 1 6a 6a LS cord-291786-66c8xta0 198 2 -d -d CD cord-291786-66c8xta0 198 3 , , , cord-291786-66c8xta0 198 4 respectively respectively RB cord-291786-66c8xta0 198 5 . . . cord-291786-66c8xta0 199 1 Meanwhile meanwhile RB cord-291786-66c8xta0 199 2 , , , cord-291786-66c8xta0 199 3 we -PRON- PRP cord-291786-66c8xta0 199 4 let let VBP cord-291786-66c8xta0 199 5 e e NN cord-291786-66c8xta0 199 6 1 1 CD cord-291786-66c8xta0 199 7 ¼ ¼ CD cord-291786-66c8xta0 199 8 0:8 0:8 CD cord-291786-66c8xta0 199 9 and and CC cord-291786-66c8xta0 199 10 e e NN cord-291786-66c8xta0 199 11 2 2 CD cord-291786-66c8xta0 199 12 ¼ ¼ CD cord-291786-66c8xta0 199 13 0:2 0:2 CD cord-291786-66c8xta0 199 14 , , , cord-291786-66c8xta0 199 15 the the DT cord-291786-66c8xta0 199 16 chaotic chaotic JJ cord-291786-66c8xta0 199 17 attractors attractor NNS cord-291786-66c8xta0 199 18 with with IN cord-291786-66c8xta0 199 19 different different JJ cord-291786-66c8xta0 199 20 values value NNS cord-291786-66c8xta0 199 21 of of IN cord-291786-66c8xta0 199 22 a a DT cord-291786-66c8xta0 199 23 are be VBP cord-291786-66c8xta0 199 24 shown show VBN cord-291786-66c8xta0 199 25 in in IN cord-291786-66c8xta0 199 26 Fig Fig NNP cord-291786-66c8xta0 199 27 . . . cord-291786-66c8xta0 200 1 6e 6e NNP cord-291786-66c8xta0 200 2 -h -h NNP cord-291786-66c8xta0 200 3 . . . cord-291786-66c8xta0 201 1 The the DT cord-291786-66c8xta0 201 2 p p NN cord-291786-66c8xta0 201 3 À à NN cord-291786-66c8xta0 201 4 s s NN cord-291786-66c8xta0 201 5 plots plot NNS cord-291786-66c8xta0 201 6 of of IN cord-291786-66c8xta0 201 7 attractors attractor NNS cord-291786-66c8xta0 201 8 of of IN cord-291786-66c8xta0 201 9 Fig Fig NNP cord-291786-66c8xta0 201 10 . . . cord-291786-66c8xta0 202 1 6b 6b NN cord-291786-66c8xta0 202 2 -d -d WDT cord-291786-66c8xta0 202 3 are be VBP cord-291786-66c8xta0 202 4 shown show VBN cord-291786-66c8xta0 202 5 in in IN cord-291786-66c8xta0 202 6 Fig Fig NNP cord-291786-66c8xta0 202 7 . . . cord-291786-66c8xta0 203 1 6i 6i LS cord-291786-66c8xta0 203 2 -k -k NN cord-291786-66c8xta0 203 3 , , , cord-291786-66c8xta0 203 4 respectively respectively RB cord-291786-66c8xta0 203 5 . . . cord-291786-66c8xta0 204 1 It -PRON- PRP cord-291786-66c8xta0 204 2 verifies verify VBZ cord-291786-66c8xta0 204 3 the the DT cord-291786-66c8xta0 204 4 existence existence NN cord-291786-66c8xta0 204 5 of of IN cord-291786-66c8xta0 204 6 chaos chaos NN cord-291786-66c8xta0 204 7 in in IN cord-291786-66c8xta0 204 8 the the DT cord-291786-66c8xta0 204 9 model model NN cord-291786-66c8xta0 204 10 . . . cord-291786-66c8xta0 204 11 _SP cord-291786-66c8xta0 205 1 where where WRB cord-291786-66c8xta0 205 2 b b NN cord-291786-66c8xta0 205 3 0 0 CD cord-291786-66c8xta0 205 4 ¼ ¼ CD cord-291786-66c8xta0 205 5 2v 2v CD cord-291786-66c8xta0 205 6 ¼ ¼ NNP cord-291786-66c8xta0 205 7 60:8 60:8 NNP cord-291786-66c8xta0 205 8 , , , cord-291786-66c8xta0 205 9 e e NN cord-291786-66c8xta0 205 10 1 1 CD cord-291786-66c8xta0 205 11 and and CC cord-291786-66c8xta0 205 12 e e SYM cord-291786-66c8xta0 205 13 2 2 CD cord-291786-66c8xta0 205 14 are be VBP cord-291786-66c8xta0 205 15 the the DT cord-291786-66c8xta0 205 16 degree degree NN cord-291786-66c8xta0 205 17 of of IN cord-291786-66c8xta0 205 18 the the DT cord-291786-66c8xta0 205 19 seasonality seasonality NN cord-291786-66c8xta0 205 20 and and CC cord-291786-66c8xta0 205 21 stochastic stochastic JJ cord-291786-66c8xta0 205 22 infection infection NN cord-291786-66c8xta0 205 23 , , , cord-291786-66c8xta0 205 24 respectively respectively RB cord-291786-66c8xta0 205 25 . . . cord-291786-66c8xta0 206 1 Let let VB cord-291786-66c8xta0 206 2 e e NN cord-291786-66c8xta0 206 3 1 1 CD cord-291786-66c8xta0 206 4 ¼ ¼ CD cord-291786-66c8xta0 206 5 0:8 0:8 CD cord-291786-66c8xta0 206 6 , , , cord-291786-66c8xta0 206 7 e e NN cord-291786-66c8xta0 206 8 2 2 CD cord-291786-66c8xta0 206 9 ¼ ¼ CD cord-291786-66c8xta0 206 10 0 0 CD cord-291786-66c8xta0 206 11 and and CC cord-291786-66c8xta0 206 12 a a DT cord-291786-66c8xta0 206 13 ¼ ¼ NNP cord-291786-66c8xta0 206 14 0:0133 0:0133 CD cord-291786-66c8xta0 206 15 , , , cord-291786-66c8xta0 206 16 the the DT cord-291786-66c8xta0 206 17 phase phase NN cord-291786-66c8xta0 206 18 diagram diagram NN cord-291786-66c8xta0 206 19 is be VBZ cord-291786-66c8xta0 206 20 shown show VBN cord-291786-66c8xta0 206 21 in in IN cord-291786-66c8xta0 206 22 Fig Fig NNP cord-291786-66c8xta0 206 23 . . . cord-291786-66c8xta0 206 24 7a 7a NN cord-291786-66c8xta0 206 25 . . . cord-291786-66c8xta0 207 1 It -PRON- PRP cord-291786-66c8xta0 207 2 shows show VBZ cord-291786-66c8xta0 207 3 in in IN cord-291786-66c8xta0 207 4 Fig Fig NNP cord-291786-66c8xta0 207 5 . . . cord-291786-66c8xta0 208 1 7b 7b NN cord-291786-66c8xta0 208 2 that that WDT cord-291786-66c8xta0 208 3 the the DT cord-291786-66c8xta0 208 4 attractor attractor NN cord-291786-66c8xta0 208 5 is be VBZ cord-291786-66c8xta0 208 6 chaotic chaotic JJ cord-291786-66c8xta0 208 7 . . . cord-291786-66c8xta0 209 1 If if IN cord-291786-66c8xta0 209 2 we -PRON- PRP cord-291786-66c8xta0 209 3 set set VBP cord-291786-66c8xta0 209 4 e e NN cord-291786-66c8xta0 209 5 2 2 CD cord-291786-66c8xta0 209 6 ¼ ¼ CD cord-291786-66c8xta0 209 7 0:2 0:2 CD cord-291786-66c8xta0 209 8 , , , cord-291786-66c8xta0 209 9 the the DT cord-291786-66c8xta0 209 10 phase phase NN cord-291786-66c8xta0 209 11 diagram diagram NN cord-291786-66c8xta0 209 12 is be VBZ cord-291786-66c8xta0 209 13 illustrated illustrate VBN cord-291786-66c8xta0 209 14 in in IN cord-291786-66c8xta0 209 15 Fig Fig NNP cord-291786-66c8xta0 209 16 . . . cord-291786-66c8xta0 210 1 7c 7c NNP cord-291786-66c8xta0 210 2 , , , cord-291786-66c8xta0 210 3 where where WRB cord-291786-66c8xta0 210 4 a a DT cord-291786-66c8xta0 210 5 much much RB cord-291786-66c8xta0 210 6 wider wide JJR cord-291786-66c8xta0 210 7 range range NN cord-291786-66c8xta0 210 8 in in IN cord-291786-66c8xta0 210 9 the the DT cord-291786-66c8xta0 210 10 phase phase NN cord-291786-66c8xta0 210 11 space space NN cord-291786-66c8xta0 210 12 when when WRB cord-291786-66c8xta0 210 13 the the DT cord-291786-66c8xta0 210 14 system system NN cord-291786-66c8xta0 210 15 has have VBZ cord-291786-66c8xta0 210 16 stochastic stochastic JJ cord-291786-66c8xta0 210 17 infection infection NN cord-291786-66c8xta0 210 18 . . . cord-291786-66c8xta0 211 1 When when WRB cord-291786-66c8xta0 211 2 e e NN cord-291786-66c8xta0 211 3 1 1 CD cord-291786-66c8xta0 211 4 ¼ ¼ CD cord-291786-66c8xta0 211 5 0:8 0:8 CD cord-291786-66c8xta0 211 6 , , , cord-291786-66c8xta0 211 7 e e NN cord-291786-66c8xta0 211 8 2 2 CD cord-291786-66c8xta0 211 9 ¼ ¼ CD cord-291786-66c8xta0 211 10 0 0 CD cord-291786-66c8xta0 211 11 and and CC cord-291786-66c8xta0 211 12 a a DT cord-291786-66c8xta0 211 13 ¼ ¼ NNP cord-291786-66c8xta0 211 14 0:08 0:08 UH cord-291786-66c8xta0 211 15 , , , cord-291786-66c8xta0 211 16 the the DT cord-291786-66c8xta0 211 17 phase phase NN cord-291786-66c8xta0 211 18 diagram diagram NN cord-291786-66c8xta0 211 19 is be VBZ cord-291786-66c8xta0 211 20 shown show VBN cord-291786-66c8xta0 211 21 in in IN cord-291786-66c8xta0 211 22 Fig Fig NNP cord-291786-66c8xta0 211 23 . . . cord-291786-66c8xta0 212 1 7d 7d NNP cord-291786-66c8xta0 212 2 , , , cord-291786-66c8xta0 212 3 while while IN cord-291786-66c8xta0 212 4 the the DT cord-291786-66c8xta0 212 5 time time NN cord-291786-66c8xta0 212 6 series series NNP cord-291786-66c8xta0 212 7 are be VBP cord-291786-66c8xta0 212 8 shown show VBN cord-291786-66c8xta0 212 9 in in IN cord-291786-66c8xta0 212 10 Fig Fig NNP cord-291786-66c8xta0 212 11 . . . cord-291786-66c8xta0 212 12 7e 7e NNP cord-291786-66c8xta0 212 13 . . . cord-291786-66c8xta0 213 1 The the DT cord-291786-66c8xta0 213 2 proposed propose VBN cord-291786-66c8xta0 213 3 system system NN cord-291786-66c8xta0 213 4 is be VBZ cord-291786-66c8xta0 213 5 an an DT cord-291786-66c8xta0 213 6 improved improve VBN cord-291786-66c8xta0 213 7 SEIR seir NN cord-291786-66c8xta0 213 8 system system NN cord-291786-66c8xta0 213 9 with with IN cord-291786-66c8xta0 213 10 quarantined quarantine VBN cord-291786-66c8xta0 213 11 class class NN cord-291786-66c8xta0 213 12 and and CC cord-291786-66c8xta0 213 13 hospitalized hospitalize VBN cord-291786-66c8xta0 213 14 class class NN cord-291786-66c8xta0 213 15 . . . cord-291786-66c8xta0 214 1 As as IN cord-291786-66c8xta0 214 2 with with IN cord-291786-66c8xta0 214 3 other other JJ cord-291786-66c8xta0 214 4 SIR SIR NNP cord-291786-66c8xta0 214 5 and and CC cord-291786-66c8xta0 214 6 SEIR SEIR NNP cord-291786-66c8xta0 214 7 models model NNS cord-291786-66c8xta0 214 8 , , , cord-291786-66c8xta0 214 9 this this DT cord-291786-66c8xta0 214 10 model model NN cord-291786-66c8xta0 214 11 can can MD cord-291786-66c8xta0 214 12 also also RB cord-291786-66c8xta0 214 13 generate generate VB cord-291786-66c8xta0 214 14 chaos chaos NN cord-291786-66c8xta0 214 15 with with IN cord-291786-66c8xta0 214 16 given give VBN cord-291786-66c8xta0 214 17 parameters parameter NNS cord-291786-66c8xta0 214 18 . . . cord-291786-66c8xta0 215 1 And and CC cord-291786-66c8xta0 215 2 the the DT cord-291786-66c8xta0 215 3 existence existence NN cord-291786-66c8xta0 215 4 chaos chaos NN cord-291786-66c8xta0 215 5 is be VBZ cord-291786-66c8xta0 215 6 verified verify VBN cord-291786-66c8xta0 215 7 by by IN cord-291786-66c8xta0 215 8 the the DT cord-291786-66c8xta0 215 9 0 0 CD cord-291786-66c8xta0 215 10 - - SYM cord-291786-66c8xta0 215 11 1 1 CD cord-291786-66c8xta0 215 12 test test NN cord-291786-66c8xta0 215 13 method method NN cord-291786-66c8xta0 215 14 . . . cord-291786-66c8xta0 216 1 In in IN cord-291786-66c8xta0 216 2 this this DT cord-291786-66c8xta0 216 3 section section NN cord-291786-66c8xta0 216 4 , , , cord-291786-66c8xta0 216 5 we -PRON- PRP cord-291786-66c8xta0 216 6 consider consider VBP cord-291786-66c8xta0 216 7 the the DT cord-291786-66c8xta0 216 8 dynamics dynamic NNS cord-291786-66c8xta0 216 9 of of IN cord-291786-66c8xta0 216 10 the the DT cord-291786-66c8xta0 216 11 proposed propose VBN cord-291786-66c8xta0 216 12 SEIR SEIR NNP cord-291786-66c8xta0 216 13 model model NN cord-291786-66c8xta0 216 14 . . . cord-291786-66c8xta0 217 1 In in IN cord-291786-66c8xta0 217 2 Refs ref NNS cord-291786-66c8xta0 217 3 . . . cord-291786-66c8xta0 218 1 [ [ -LRB- cord-291786-66c8xta0 218 2 26 26 CD cord-291786-66c8xta0 218 3 , , , cord-291786-66c8xta0 218 4 29 29 CD cord-291786-66c8xta0 218 5 ] ] -RRB- cord-291786-66c8xta0 218 6 , , , cord-291786-66c8xta0 218 7 the the DT cord-291786-66c8xta0 218 8 parameters parameter NNS cord-291786-66c8xta0 218 9 of of IN cord-291786-66c8xta0 218 10 the the DT cord-291786-66c8xta0 218 11 SEIR SEIR NNP cord-291786-66c8xta0 218 12 model model NN cord-291786-66c8xta0 218 13 are be VBP cord-291786-66c8xta0 218 14 set set VBN cord-291786-66c8xta0 218 15 where where WRB cord-291786-66c8xta0 218 16 the the DT cord-291786-66c8xta0 218 17 infection infection NN cord-291786-66c8xta0 218 18 rate rate NN cord-291786-66c8xta0 218 19 b b NN cord-291786-66c8xta0 218 20 is be VBZ cord-291786-66c8xta0 218 21 set set VBN cord-291786-66c8xta0 218 22 as as RB cord-291786-66c8xta0 218 23 quite quite RB cord-291786-66c8xta0 218 24 large large JJ cord-291786-66c8xta0 218 25 values value NNS cord-291786-66c8xta0 218 26 . . . cord-291786-66c8xta0 219 1 For for IN cord-291786-66c8xta0 219 2 instance instance NN cord-291786-66c8xta0 219 3 , , , cord-291786-66c8xta0 219 4 in in IN cord-291786-66c8xta0 219 5 Ref Ref NNP cord-291786-66c8xta0 219 6 . . . cord-291786-66c8xta0 220 1 [ [ -LRB- cord-291786-66c8xta0 220 2 29 29 CD cord-291786-66c8xta0 220 3 ] ] -RRB- cord-291786-66c8xta0 220 4 , , , cord-291786-66c8xta0 220 5 b b NNP cord-291786-66c8xta0 220 6 ¼ ¼ NNP cord-291786-66c8xta0 220 7 108 108 CD cord-291786-66c8xta0 220 8 for for IN cord-291786-66c8xta0 220 9 the the DT cord-291786-66c8xta0 220 10 proposed propose VBN cord-291786-66c8xta0 220 11 SEIR SEIR NNP cord-291786-66c8xta0 220 12 Dengue Dengue NNP cord-291786-66c8xta0 220 13 fever fever NN cord-291786-66c8xta0 220 14 model model NN cord-291786-66c8xta0 220 15 . . . cord-291786-66c8xta0 220 16 _SP cord-291786-66c8xta0 221 1 To to TO cord-291786-66c8xta0 221 2 further further RB cord-291786-66c8xta0 221 3 analyze analyze VB cord-291786-66c8xta0 221 4 dynamics dynamic NNS cord-291786-66c8xta0 221 5 of of IN cord-291786-66c8xta0 221 6 the the DT cord-291786-66c8xta0 221 7 system system NN cord-291786-66c8xta0 221 8 , , , cord-291786-66c8xta0 221 9 we -PRON- PRP cord-291786-66c8xta0 221 10 choose choose VBP cord-291786-66c8xta0 221 11 case case NN cord-291786-66c8xta0 221 12 2 2 CD cord-291786-66c8xta0 221 13 as as IN cord-291786-66c8xta0 221 14 an an DT cord-291786-66c8xta0 221 15 example example NN cord-291786-66c8xta0 221 16 to to TO cord-291786-66c8xta0 221 17 show show VB cord-291786-66c8xta0 221 18 the the DT cord-291786-66c8xta0 221 19 bifurcations bifurcation NNS cord-291786-66c8xta0 221 20 of of IN cord-291786-66c8xta0 221 21 the the DT cord-291786-66c8xta0 221 22 proposed propose VBN cord-291786-66c8xta0 221 23 system system NN cord-291786-66c8xta0 221 24 . . . cord-291786-66c8xta0 222 1 The the DT cord-291786-66c8xta0 222 2 parameters parameter NNS cord-291786-66c8xta0 222 3 are be VBP cord-291786-66c8xta0 222 4 set set VBN cord-291786-66c8xta0 222 5 as as IN cord-291786-66c8xta0 222 6 b b LS cord-291786-66c8xta0 222 7 Firstly firstly RB cord-291786-66c8xta0 222 8 , , , cord-291786-66c8xta0 222 9 let let VB cord-291786-66c8xta0 222 10 e e NN cord-291786-66c8xta0 222 11 1 1 CD cord-291786-66c8xta0 222 12 ¼ ¼ CD cord-291786-66c8xta0 222 13 0:8 0:8 CD cord-291786-66c8xta0 222 14 , , , cord-291786-66c8xta0 222 15 e e NN cord-291786-66c8xta0 222 16 2 2 CD cord-291786-66c8xta0 222 17 ¼ ¼ CD cord-291786-66c8xta0 222 18 0 0 CD cord-291786-66c8xta0 222 19 , , , cord-291786-66c8xta0 222 20 and and CC cord-291786-66c8xta0 222 21 the the DT cord-291786-66c8xta0 222 22 parameter parameter NN cord-291786-66c8xta0 222 23 a a DT cord-291786-66c8xta0 222 24 varies vary VBZ cord-291786-66c8xta0 222 25 from from IN cord-291786-66c8xta0 222 26 0.02 0.02 CD cord-291786-66c8xta0 222 27 to to IN cord-291786-66c8xta0 222 28 0.08 0.08 CD cord-291786-66c8xta0 222 29 with with IN cord-291786-66c8xta0 222 30 step step NN cord-291786-66c8xta0 222 31 size size NN cord-291786-66c8xta0 222 32 of of IN cord-291786-66c8xta0 222 33 0.00024 0.00024 CD cord-291786-66c8xta0 222 34 . . . cord-291786-66c8xta0 223 1 The the DT cord-291786-66c8xta0 223 2 bifurcation bifurcation NN cord-291786-66c8xta0 223 3 diagram diagram NN cord-291786-66c8xta0 223 4 is be VBZ cord-291786-66c8xta0 223 5 shown show VBN cord-291786-66c8xta0 223 6 in in IN cord-291786-66c8xta0 223 7 Fig Fig NNP cord-291786-66c8xta0 223 8 . . . cord-291786-66c8xta0 224 1 8a 8a NNP cord-291786-66c8xta0 224 2 . . . cord-291786-66c8xta0 225 1 Meanwhile meanwhile RB cord-291786-66c8xta0 225 2 , , , cord-291786-66c8xta0 225 3 if if IN cord-291786-66c8xta0 225 4 e e NN cord-291786-66c8xta0 225 5 2 2 CD cord-291786-66c8xta0 225 6 ¼ ¼ NNP cord-291786-66c8xta0 225 7 0:2 0:2 CD cord-291786-66c8xta0 225 8 , , , cord-291786-66c8xta0 225 9 the the DT cord-291786-66c8xta0 225 10 corresponding correspond VBG cord-291786-66c8xta0 225 11 bifurcation bifurcation NN cord-291786-66c8xta0 225 12 diagram diagram NN cord-291786-66c8xta0 225 13 is be VBZ cord-291786-66c8xta0 225 14 Fig Fig NNP cord-291786-66c8xta0 225 15 . . . cord-291786-66c8xta0 226 1 8b 8b NNP cord-291786-66c8xta0 226 2 . . . cord-291786-66c8xta0 227 1 Obviously obviously RB cord-291786-66c8xta0 227 2 , , , cord-291786-66c8xta0 227 3 the the DT cord-291786-66c8xta0 227 4 bifurcation bifurcation NN cord-291786-66c8xta0 227 5 diagram diagram NN cord-291786-66c8xta0 227 6 of of IN cord-291786-66c8xta0 227 7 Fig Fig NNP cord-291786-66c8xta0 227 8 . . . cord-291786-66c8xta0 228 1 8a 8a NNP cord-291786-66c8xta0 228 2 has have VBZ cord-291786-66c8xta0 228 3 no no DT cord-291786-66c8xta0 228 4 noise noise NN cord-291786-66c8xta0 228 5 , , , cord-291786-66c8xta0 228 6 while while IN cord-291786-66c8xta0 228 7 that that DT cord-291786-66c8xta0 228 8 in in IN cord-291786-66c8xta0 228 9 Fig Fig NNP cord-291786-66c8xta0 228 10 . . . cord-291786-66c8xta0 229 1 8b 8b NNP cord-291786-66c8xta0 229 2 does do VBZ cord-291786-66c8xta0 229 3 . . . cord-291786-66c8xta0 230 1 It -PRON- PRP cord-291786-66c8xta0 230 2 shows show VBZ cord-291786-66c8xta0 230 3 that that IN cord-291786-66c8xta0 230 4 the the DT cord-291786-66c8xta0 230 5 stochastic stochastic JJ cord-291786-66c8xta0 230 6 infection infection NN cord-291786-66c8xta0 230 7 makes make VBZ cord-291786-66c8xta0 230 8 the the DT cord-291786-66c8xta0 230 9 system system NN cord-291786-66c8xta0 230 10 fluctuate fluctuate VB cord-291786-66c8xta0 230 11 more more RBR cord-291786-66c8xta0 230 12 volatile volatile JJ cord-291786-66c8xta0 230 13 . . . cord-291786-66c8xta0 231 1 Secondly secondly RB cord-291786-66c8xta0 231 2 , , , cord-291786-66c8xta0 231 3 let let VB cord-291786-66c8xta0 231 4 a a DT cord-291786-66c8xta0 231 5 ¼ ¼ NNP cord-291786-66c8xta0 231 6 0:08 0:08 NN cord-291786-66c8xta0 231 7 , , , cord-291786-66c8xta0 231 8 e e NN cord-291786-66c8xta0 231 9 2 2 CD cord-291786-66c8xta0 231 10 ¼ ¼ CD cord-291786-66c8xta0 231 11 0 0 CD cord-291786-66c8xta0 231 12 , , , cord-291786-66c8xta0 231 13 and and CC cord-291786-66c8xta0 231 14 the the DT cord-291786-66c8xta0 231 15 parameter parameter NN cord-291786-66c8xta0 231 16 e e NN cord-291786-66c8xta0 231 17 1 1 CD cord-291786-66c8xta0 231 18 ¼ ¼ CD cord-291786-66c8xta0 231 19 0:8 0:8 CD cord-291786-66c8xta0 231 20 varies vary VBZ cord-291786-66c8xta0 231 21 from from IN cord-291786-66c8xta0 231 22 0.02 0.02 CD cord-291786-66c8xta0 231 23 to to IN cord-291786-66c8xta0 231 24 0.08 0.08 CD cord-291786-66c8xta0 231 25 with with IN cord-291786-66c8xta0 231 26 step step NN cord-291786-66c8xta0 231 27 size size NN cord-291786-66c8xta0 231 28 of of IN cord-291786-66c8xta0 231 29 0.004 0.004 CD cord-291786-66c8xta0 231 30 . . . cord-291786-66c8xta0 232 1 The the DT cord-291786-66c8xta0 232 2 bifurcation bifurcation NN cord-291786-66c8xta0 232 3 diagrams diagram VBZ cord-291786-66c8xta0 232 4 with with IN cord-291786-66c8xta0 232 5 e e NN cord-291786-66c8xta0 232 6 1 1 CD cord-291786-66c8xta0 232 7 are be VBP cord-291786-66c8xta0 232 8 shown show VBN cord-291786-66c8xta0 232 9 in in IN cord-291786-66c8xta0 232 10 Fig Fig NNP cord-291786-66c8xta0 232 11 . . . cord-291786-66c8xta0 233 1 9 9 LS cord-291786-66c8xta0 233 2 . . . cord-291786-66c8xta0 234 1 It -PRON- PRP cord-291786-66c8xta0 234 2 shows show VBZ cord-291786-66c8xta0 234 3 that that IN cord-291786-66c8xta0 234 4 when when WRB cord-291786-66c8xta0 234 5 there there EX cord-291786-66c8xta0 234 6 exists exist VBZ cord-291786-66c8xta0 234 7 stochastic stochastic JJ cord-291786-66c8xta0 234 8 infection infection NN cord-291786-66c8xta0 234 9 , , , cord-291786-66c8xta0 234 10 the the DT cord-291786-66c8xta0 234 11 bifurcation bifurcation NN cord-291786-66c8xta0 234 12 diagram diagram NN cord-291786-66c8xta0 234 13 shows show VBZ cord-291786-66c8xta0 234 14 more more JJR cord-291786-66c8xta0 234 15 complex complex JJ cord-291786-66c8xta0 234 16 behaviors behavior NNS cord-291786-66c8xta0 234 17 of of IN cord-291786-66c8xta0 234 18 the the DT cord-291786-66c8xta0 234 19 system system NN cord-291786-66c8xta0 234 20 . . . cord-291786-66c8xta0 235 1 As as IN cord-291786-66c8xta0 235 2 shown show VBN cord-291786-66c8xta0 235 3 in in IN cord-291786-66c8xta0 235 4 Figs Figs NNPS cord-291786-66c8xta0 235 5 . . . cord-291786-66c8xta0 236 1 8 8 CD cord-291786-66c8xta0 236 2 and and CC cord-291786-66c8xta0 236 3 9 9 CD cord-291786-66c8xta0 236 4 , , , cord-291786-66c8xta0 236 5 it -PRON- PRP cord-291786-66c8xta0 236 6 shows show VBZ cord-291786-66c8xta0 236 7 that that IN cord-291786-66c8xta0 236 8 the the DT cord-291786-66c8xta0 236 9 system system NN cord-291786-66c8xta0 236 10 has have VBZ cord-291786-66c8xta0 236 11 rich rich JJ cord-291786-66c8xta0 236 12 dynamics dynamic NNS cord-291786-66c8xta0 236 13 with with IN cord-291786-66c8xta0 236 14 both both DT cord-291786-66c8xta0 236 15 parameters parameter NNS cord-291786-66c8xta0 236 16 a a DT cord-291786-66c8xta0 236 17 and and CC cord-291786-66c8xta0 236 18 e e NN cord-291786-66c8xta0 236 19 1 1 CD cord-291786-66c8xta0 236 20 . . . cord-291786-66c8xta0 237 1 When when WRB cord-291786-66c8xta0 237 2 the the DT cord-291786-66c8xta0 237 3 system system NN cord-291786-66c8xta0 237 4 has have VBZ cord-291786-66c8xta0 237 5 stochastic stochastic JJ cord-291786-66c8xta0 237 6 infection infection NN cord-291786-66c8xta0 237 7 , , , cord-291786-66c8xta0 237 8 the the DT cord-291786-66c8xta0 237 9 system system NN cord-291786-66c8xta0 237 10 will will MD cord-291786-66c8xta0 237 11 become become VB cord-291786-66c8xta0 237 12 more more RBR cord-291786-66c8xta0 237 13 complex complex JJ cord-291786-66c8xta0 237 14 . . . cord-291786-66c8xta0 238 1 We -PRON- PRP cord-291786-66c8xta0 238 2 hold hold VBP cord-291786-66c8xta0 238 3 the the DT cord-291786-66c8xta0 238 4 opinion opinion NN cord-291786-66c8xta0 238 5 that that IN cord-291786-66c8xta0 238 6 chaos chaos NN cord-291786-66c8xta0 238 7 is be VBZ cord-291786-66c8xta0 238 8 also also RB cord-291786-66c8xta0 238 9 the the DT cord-291786-66c8xta0 238 10 nature nature NN cord-291786-66c8xta0 238 11 of of IN cord-291786-66c8xta0 238 12 the the DT cord-291786-66c8xta0 238 13 system system NN cord-291786-66c8xta0 238 14 , , , cord-291786-66c8xta0 238 15 and and CC cord-291786-66c8xta0 238 16 the the DT cord-291786-66c8xta0 238 17 seasonality seasonality NN cord-291786-66c8xta0 238 18 and and CC cord-291786-66c8xta0 238 19 the the DT cord-291786-66c8xta0 238 20 temporary temporary JJ cord-291786-66c8xta0 238 21 immunity immunity NN cord-291786-66c8xta0 238 22 rate rate NN cord-291786-66c8xta0 238 23 can can MD cord-291786-66c8xta0 238 24 change change VB cord-291786-66c8xta0 238 25 the the DT cord-291786-66c8xta0 238 26 dynamics dynamic NNS cord-291786-66c8xta0 238 27 of of IN cord-291786-66c8xta0 238 28 the the DT cord-291786-66c8xta0 238 29 system system NN cord-291786-66c8xta0 238 30 . . . cord-291786-66c8xta0 239 1 In in IN cord-291786-66c8xta0 239 2 this this DT cord-291786-66c8xta0 239 3 section section NN cord-291786-66c8xta0 239 4 , , , cord-291786-66c8xta0 239 5 the the DT cord-291786-66c8xta0 239 6 spectral spectral JJ cord-291786-66c8xta0 239 7 entropy entropy NN cord-291786-66c8xta0 239 8 ( ( -LRB- cord-291786-66c8xta0 239 9 SE SE NNP cord-291786-66c8xta0 239 10 ) ) -RRB- cord-291786-66c8xta0 239 11 algorithm algorithm NN cord-291786-66c8xta0 239 12 [ [ -LRB- cord-291786-66c8xta0 239 13 31 31 CD cord-291786-66c8xta0 239 14 ] ] -RRB- cord-291786-66c8xta0 239 15 is be VBZ cord-291786-66c8xta0 239 16 employed employ VBN cord-291786-66c8xta0 239 17 to to TO cord-291786-66c8xta0 239 18 analyze analyze VB cord-291786-66c8xta0 239 19 complexity complexity NN cord-291786-66c8xta0 239 20 of of IN cord-291786-66c8xta0 239 21 the the DT cord-291786-66c8xta0 239 22 proposed propose VBN cord-291786-66c8xta0 239 23 SEIR seir NN cord-291786-66c8xta0 239 24 system system NN cord-291786-66c8xta0 239 25 , , , cord-291786-66c8xta0 239 26 and and CC cord-291786-66c8xta0 239 27 steps step NNS cord-291786-66c8xta0 239 28 are be VBP cord-291786-66c8xta0 239 29 presented present VBN cord-291786-66c8xta0 239 30 as as IN cord-291786-66c8xta0 239 31 follows follow VBZ cord-291786-66c8xta0 239 32 . . . cord-291786-66c8xta0 240 1 For for IN cord-291786-66c8xta0 240 2 a a DT cord-291786-66c8xta0 240 3 given give VBN cord-291786-66c8xta0 240 4 time time NN cord-291786-66c8xta0 240 5 series series NN cord-291786-66c8xta0 240 6 { { -LRB- cord-291786-66c8xta0 240 7 x(n x(n NNP cord-291786-66c8xta0 240 8 ) ) -RRB- cord-291786-66c8xta0 240 9 , , , cord-291786-66c8xta0 240 10 n=0 n=0 RB cord-291786-66c8xta0 240 11 , , , cord-291786-66c8xta0 240 12 1 1 CD cord-291786-66c8xta0 240 13 , , , cord-291786-66c8xta0 240 14 2 2 CD cord-291786-66c8xta0 240 15 , , , cord-291786-66c8xta0 240 16 Á á FW cord-291786-66c8xta0 240 17 Á á NN cord-291786-66c8xta0 240 18 Á á NN cord-291786-66c8xta0 240 19 , , , cord-291786-66c8xta0 241 1 L-1 L-1 NNP cord-291786-66c8xta0 241 2 } } -RRB- cord-291786-66c8xta0 241 3 with with IN cord-291786-66c8xta0 241 4 a a DT cord-291786-66c8xta0 241 5 length length NN cord-291786-66c8xta0 241 6 of of IN cord-291786-66c8xta0 241 7 L l NN cord-291786-66c8xta0 241 8 , , , cord-291786-66c8xta0 241 9 let let VB cord-291786-66c8xta0 241 10 xðnÞ xðnþ PRP cord-291786-66c8xta0 241 11 ¼ ¼ NNP cord-291786-66c8xta0 241 12 xðnÞ xðnþ FW cord-291786-66c8xta0 241 13 À à NN cord-291786-66c8xta0 241 14 x x NN cord-291786-66c8xta0 241 15 , , , cord-291786-66c8xta0 241 16 where where WRB cord-291786-66c8xta0 241 17 x x NN cord-291786-66c8xta0 241 18 is be VBZ cord-291786-66c8xta0 241 19 the the DT cord-291786-66c8xta0 241 20 mean mean JJ cord-291786-66c8xta0 241 21 value value NN cord-291786-66c8xta0 241 22 of of IN cord-291786-66c8xta0 241 23 time time NN cord-291786-66c8xta0 241 24 series series NN cord-291786-66c8xta0 241 25 . . . cord-291786-66c8xta0 242 1 Its -PRON- PRP$ cord-291786-66c8xta0 242 2 corresponding corresponding JJ cord-291786-66c8xta0 242 3 discrete discrete JJ cord-291786-66c8xta0 242 4 Fourier Fourier NNP cord-291786-66c8xta0 242 5 transform transform NN cord-291786-66c8xta0 242 6 ( ( -LRB- cord-291786-66c8xta0 242 7 DFT DFT NNP cord-291786-66c8xta0 242 8 ) ) -RRB- cord-291786-66c8xta0 242 9 is be VBZ cord-291786-66c8xta0 242 10 defined define VBN cord-291786-66c8xta0 242 11 by by IN cord-291786-66c8xta0 242 12 where where WRB cord-291786-66c8xta0 242 13 k k NNP cord-291786-66c8xta0 242 14 ¼ ¼ NNP cord-291786-66c8xta0 242 15 0 0 CD cord-291786-66c8xta0 242 16 ; ; : cord-291786-66c8xta0 242 17 1 1 CD cord-291786-66c8xta0 242 18 ; ; : cord-291786-66c8xta0 242 19 Á á FW cord-291786-66c8xta0 242 20 Á á NN cord-291786-66c8xta0 242 21 Á á NN cord-291786-66c8xta0 242 22 ; ; : cord-291786-66c8xta0 242 23 L l NN cord-291786-66c8xta0 242 24 À à NN cord-291786-66c8xta0 242 25 1 1 CD cord-291786-66c8xta0 242 26 and and CC cord-291786-66c8xta0 242 27 j j NNP cord-291786-66c8xta0 242 28 is be VBZ cord-291786-66c8xta0 242 29 the the DT cord-291786-66c8xta0 242 30 imaginary imaginary JJ cord-291786-66c8xta0 242 31 unit unit NN cord-291786-66c8xta0 242 32 . . . cord-291786-66c8xta0 243 1 If if IN cord-291786-66c8xta0 243 2 the the DT cord-291786-66c8xta0 243 3 power power NN cord-291786-66c8xta0 243 4 of of IN cord-291786-66c8xta0 243 5 a a DT cord-291786-66c8xta0 243 6 discrete discrete JJ cord-291786-66c8xta0 243 7 power power NN cord-291786-66c8xta0 243 8 spectrum spectrum NN cord-291786-66c8xta0 243 9 with with IN cord-291786-66c8xta0 243 10 the the DT cord-291786-66c8xta0 243 11 k k XX cord-291786-66c8xta0 243 12 th th XX cord-291786-66c8xta0 243 13 frequency frequency NN cord-291786-66c8xta0 243 14 is be VBZ cord-291786-66c8xta0 243 15 jXðkÞj jXðkÞj NNP cord-291786-66c8xta0 243 16 2 2 CD cord-291786-66c8xta0 243 17 , , , cord-291786-66c8xta0 243 18 then then RB cord-291786-66c8xta0 243 19 the the DT cord-291786-66c8xta0 243 20 ' ' '' cord-291786-66c8xta0 243 21 ' ' `` cord-291786-66c8xta0 243 22 probability probability NN cord-291786-66c8xta0 243 23 ' ' '' cord-291786-66c8xta0 243 24 ' ' '' cord-291786-66c8xta0 243 25 of of IN cord-291786-66c8xta0 243 26 this this DT cord-291786-66c8xta0 243 27 frequency frequency NN cord-291786-66c8xta0 243 28 is be VBZ cord-291786-66c8xta0 243 29 defined define VBN cord-291786-66c8xta0 243 30 as as IN cord-291786-66c8xta0 243 31 When when WRB cord-291786-66c8xta0 243 32 the the DT cord-291786-66c8xta0 243 33 DFT DFT NNP cord-291786-66c8xta0 243 34 is be VBZ cord-291786-66c8xta0 243 35 employed employ VBN cord-291786-66c8xta0 243 36 , , , cord-291786-66c8xta0 243 37 the the DT cord-291786-66c8xta0 243 38 summation summation NN cord-291786-66c8xta0 243 39 runs run VBZ cord-291786-66c8xta0 243 40 from from IN cord-291786-66c8xta0 243 41 k k NNP cord-291786-66c8xta0 243 42 ¼ ¼ NNP cord-291786-66c8xta0 243 43 0 0 CD cord-291786-66c8xta0 243 44 to to IN cord-291786-66c8xta0 243 45 k k NNP cord-291786-66c8xta0 243 46 ¼ ¼ NNP cord-291786-66c8xta0 243 47 N=2 N=2 NNP cord-291786-66c8xta0 243 48 À à NN cord-291786-66c8xta0 243 49 1 1 CD cord-291786-66c8xta0 243 50 . . . cord-291786-66c8xta0 244 1 The the DT cord-291786-66c8xta0 244 2 normalization normalization NN cord-291786-66c8xta0 244 3 entropy entropy NN cord-291786-66c8xta0 244 4 is be VBZ cord-291786-66c8xta0 244 5 denoted denote VBN cord-291786-66c8xta0 244 6 by by IN cord-291786-66c8xta0 244 7 [ [ -LRB- cord-291786-66c8xta0 244 8 31 31 CD cord-291786-66c8xta0 244 9 ] ] -RRB- cord-291786-66c8xta0 244 10 _SP cord-291786-66c8xta0 244 11 where where WRB cord-291786-66c8xta0 244 12 lnðN=2Þ lnðN=2Þ NNP cord-291786-66c8xta0 244 13 is be VBZ cord-291786-66c8xta0 244 14 the the DT cord-291786-66c8xta0 244 15 entropy entropy NN cord-291786-66c8xta0 244 16 of of IN cord-291786-66c8xta0 244 17 a a DT cord-291786-66c8xta0 244 18 completely completely RB cord-291786-66c8xta0 244 19 random random JJ cord-291786-66c8xta0 244 20 signal signal NN cord-291786-66c8xta0 244 21 . . . cord-291786-66c8xta0 245 1 Obviously obviously RB cord-291786-66c8xta0 245 2 , , , cord-291786-66c8xta0 245 3 the the DT cord-291786-66c8xta0 245 4 more more RBR cord-291786-66c8xta0 245 5 balanced balanced JJ cord-291786-66c8xta0 245 6 the the DT cord-291786-66c8xta0 245 7 probability probability NN cord-291786-66c8xta0 245 8 distribution distribution NN cord-291786-66c8xta0 245 9 is be VBZ cord-291786-66c8xta0 245 10 , , , cord-291786-66c8xta0 245 11 the the DT cord-291786-66c8xta0 245 12 higher high JJR cord-291786-66c8xta0 245 13 complexity complexity NN cord-291786-66c8xta0 245 14 ( ( -LRB- cord-291786-66c8xta0 245 15 the the DT cord-291786-66c8xta0 245 16 larger large JJR cord-291786-66c8xta0 245 17 entropy entropy NN cord-291786-66c8xta0 245 18 ) ) -RRB- cord-291786-66c8xta0 245 19 the the DT cord-291786-66c8xta0 245 20 time time NN cord-291786-66c8xta0 245 21 series series NN cord-291786-66c8xta0 245 22 is be VBZ cord-291786-66c8xta0 245 23 . . . cord-291786-66c8xta0 246 1 The the DT cord-291786-66c8xta0 246 2 larger large JJR cord-291786-66c8xta0 246 3 measuring measuring NN cord-291786-66c8xta0 246 4 value value NN cord-291786-66c8xta0 246 5 means mean VBZ cord-291786-66c8xta0 246 6 higher high JJR cord-291786-66c8xta0 246 7 complexity complexity NN cord-291786-66c8xta0 246 8 , , , cord-291786-66c8xta0 246 9 and and CC cord-291786-66c8xta0 246 10 vice vice NN cord-291786-66c8xta0 246 11 versa versa RB cord-291786-66c8xta0 246 12 . . . cord-291786-66c8xta0 247 1 Based base VBN cord-291786-66c8xta0 247 2 on on IN cord-291786-66c8xta0 247 3 the the DT cord-291786-66c8xta0 247 4 above above JJ cord-291786-66c8xta0 247 5 complexity complexity NN cord-291786-66c8xta0 247 6 algorithms algorithm NNS cord-291786-66c8xta0 247 7 , , , cord-291786-66c8xta0 247 8 multiscale multiscale JJ cord-291786-66c8xta0 247 9 complexity complexity NN cord-291786-66c8xta0 247 10 algorithm algorithm NN cord-291786-66c8xta0 247 11 is be VBZ cord-291786-66c8xta0 247 12 designed design VBN cord-291786-66c8xta0 247 13 . . . cord-291786-66c8xta0 248 1 For for IN cord-291786-66c8xta0 248 2 a a DT cord-291786-66c8xta0 248 3 onedimensional onedimensional JJ cord-291786-66c8xta0 248 4 discrete discrete JJ cord-291786-66c8xta0 248 5 time time NN cord-291786-66c8xta0 248 6 series series NN cord-291786-66c8xta0 248 7 fxðnÞ fxðnÞ NNP cord-291786-66c8xta0 248 8 : : : cord-291786-66c8xta0 249 1 n n CC cord-291786-66c8xta0 249 2 ¼ ¼ NNP cord-291786-66c8xta0 249 3 0 0 CD cord-291786-66c8xta0 249 4 ; ; : cord-291786-66c8xta0 249 5 1 1 CD cord-291786-66c8xta0 249 6 ; ; , cord-291786-66c8xta0 249 7 . . . cord-291786-66c8xta0 249 8 . . . cord-291786-66c8xta0 249 9 . . . cord-291786-66c8xta0 250 1 ; ; : cord-291786-66c8xta0 250 2 N n NN cord-291786-66c8xta0 250 3 À à NN cord-291786-66c8xta0 250 4 1 1 CD cord-291786-66c8xta0 250 5 g g NN cord-291786-66c8xta0 250 6 , , , cord-291786-66c8xta0 250 7 the the DT cord-291786-66c8xta0 250 8 consecutive consecutive JJ cord-291786-66c8xta0 250 9 coarsegrained coarsegraine VBN cord-291786-66c8xta0 250 10 time time NN cord-291786-66c8xta0 250 11 series series NNP cord-291786-66c8xta0 250 12 are be VBP cord-291786-66c8xta0 250 13 constructed construct VBN cord-291786-66c8xta0 250 14 by by IN cord-291786-66c8xta0 250 15 [ [ -LRB- cord-291786-66c8xta0 250 16 32 32 CD cord-291786-66c8xta0 250 17 ] ] -RRB- cord-291786-66c8xta0 250 18 _SP cord-291786-66c8xta0 251 1 where where WRB cord-291786-66c8xta0 251 2 1 1 CD cord-291786-66c8xta0 251 3 j j NNP cord-291786-66c8xta0 251 4 ½N ½N NNP cord-291786-66c8xta0 251 5 = = SYM cord-291786-66c8xta0 251 6 s s NNP cord-291786-66c8xta0 251 7 , , , cord-291786-66c8xta0 251 8 s s NNP cord-291786-66c8xta0 251 9 is be VBZ cord-291786-66c8xta0 251 10 the the DT cord-291786-66c8xta0 251 11 scale scale NN cord-291786-66c8xta0 251 12 factor factor NN cord-291786-66c8xta0 251 13 which which WDT cord-291786-66c8xta0 251 14 represents represent VBZ cord-291786-66c8xta0 251 15 the the DT cord-291786-66c8xta0 251 16 length length NN cord-291786-66c8xta0 251 17 of of IN cord-291786-66c8xta0 251 18 the the DT cord-291786-66c8xta0 251 19 non non JJ cord-291786-66c8xta0 251 20 - - JJ cord-291786-66c8xta0 251 21 overlapping overlapping JJ cord-291786-66c8xta0 251 22 window window NN cord-291786-66c8xta0 251 23 , , , cord-291786-66c8xta0 251 24 and and CC cord-291786-66c8xta0 251 25 ½Á ½Á NNP cord-291786-66c8xta0 251 26 denotes denote VBZ cord-291786-66c8xta0 251 27 the the DT cord-291786-66c8xta0 251 28 floor floor NN cord-291786-66c8xta0 251 29 function function NN cord-291786-66c8xta0 251 30 . . . cord-291786-66c8xta0 252 1 Obviously obviously RB cord-291786-66c8xta0 252 2 , , , cord-291786-66c8xta0 252 3 when when WRB cord-291786-66c8xta0 252 4 s s NNP cord-291786-66c8xta0 252 5 ¼ ¼ NNP cord-291786-66c8xta0 252 6 1 1 CD cord-291786-66c8xta0 252 7 , , , cord-291786-66c8xta0 252 8 the the DT cord-291786-66c8xta0 252 9 sequence sequence NN cord-291786-66c8xta0 252 10 y y NNP cord-291786-66c8xta0 252 11 s s NNP cord-291786-66c8xta0 252 12 is be VBZ cord-291786-66c8xta0 252 13 the the DT cord-291786-66c8xta0 252 14 original original JJ cord-291786-66c8xta0 252 15 sequence sequence NN cord-291786-66c8xta0 252 16 fxðnÞ fxðnÞ NNP cord-291786-66c8xta0 252 17 ; ; : cord-291786-66c8xta0 252 18 n n NN cord-291786-66c8xta0 252 19 ¼ ¼ NNP cord-291786-66c8xta0 252 20 0 0 CD cord-291786-66c8xta0 252 21 ; ; : cord-291786-66c8xta0 252 22 2 2 CD cord-291786-66c8xta0 252 23 ; ; : cord-291786-66c8xta0 252 24 3 3 CD cord-291786-66c8xta0 252 25 ; ; : cord-291786-66c8xta0 252 26 Á á FW cord-291786-66c8xta0 252 27 Á á NN cord-291786-66c8xta0 252 28 Á á NN cord-291786-66c8xta0 252 29 ; ; : cord-291786-66c8xta0 252 30 L l NN cord-291786-66c8xta0 252 31 À à NN cord-291786-66c8xta0 252 32 1 1 CD cord-291786-66c8xta0 252 33 g g NN cord-291786-66c8xta0 252 34 . . . cord-291786-66c8xta0 253 1 Thus thus RB cord-291786-66c8xta0 253 2 , , , cord-291786-66c8xta0 253 3 the the DT cord-291786-66c8xta0 253 4 complexity complexity NN cord-291786-66c8xta0 253 5 of of IN cord-291786-66c8xta0 253 6 y y NNP cord-291786-66c8xta0 253 7 1 1 CD cord-291786-66c8xta0 253 8 is be VBZ cord-291786-66c8xta0 253 9 the the DT cord-291786-66c8xta0 253 10 complexity complexity NN cord-291786-66c8xta0 253 11 of of IN cord-291786-66c8xta0 253 12 the the DT cord-291786-66c8xta0 253 13 original original JJ cord-291786-66c8xta0 253 14 sequence sequence NN cord-291786-66c8xta0 253 15 . . . cord-291786-66c8xta0 254 1 In in IN cord-291786-66c8xta0 254 2 this this DT cord-291786-66c8xta0 254 3 paper paper NN cord-291786-66c8xta0 254 4 , , , cord-291786-66c8xta0 254 5 the the DT cord-291786-66c8xta0 254 6 multiscale multiscale JJ cord-291786-66c8xta0 254 7 complexity complexity NN cord-291786-66c8xta0 254 8 is be VBZ cord-291786-66c8xta0 254 9 defined define VBN cord-291786-66c8xta0 254 10 as as IN cord-291786-66c8xta0 254 11 [ [ -LRB- cord-291786-66c8xta0 254 12 31 31 CD cord-291786-66c8xta0 254 13 ] ] -RRB- cord-291786-66c8xta0 254 14 In in IN cord-291786-66c8xta0 254 15 this this DT cord-291786-66c8xta0 254 16 paper paper NN cord-291786-66c8xta0 254 17 , , , cord-291786-66c8xta0 254 18 we -PRON- PRP cord-291786-66c8xta0 254 19 set set VBP cord-291786-66c8xta0 254 20 s s PRP cord-291786-66c8xta0 254 21 max max NNP cord-291786-66c8xta0 254 22 ¼ ¼ NNP cord-291786-66c8xta0 254 23 20 20 CD cord-291786-66c8xta0 254 24 . . . cord-291786-66c8xta0 255 1 Fix fix NN cord-291786-66c8xta0 255 2 e e NN cord-291786-66c8xta0 255 3 1 1 CD cord-291786-66c8xta0 255 4 ¼ ¼ CD cord-291786-66c8xta0 255 5 0:8 0:8 CD cord-291786-66c8xta0 255 6 and and CC cord-291786-66c8xta0 255 7 vary vary VBP cord-291786-66c8xta0 255 8 the the DT cord-291786-66c8xta0 255 9 parameter parameter NN cord-291786-66c8xta0 255 10 a a DT cord-291786-66c8xta0 255 11 from from IN cord-291786-66c8xta0 255 12 0.02 0.02 CD cord-291786-66c8xta0 255 13 to to IN cord-291786-66c8xta0 255 14 0.08 0.08 CD cord-291786-66c8xta0 255 15 with with IN cord-291786-66c8xta0 255 16 step step NN cord-291786-66c8xta0 255 17 size size NN cord-291786-66c8xta0 255 18 of of IN cord-291786-66c8xta0 255 19 0.00024 0.00024 CD cord-291786-66c8xta0 255 20 . . . cord-291786-66c8xta0 256 1 MSE MSE NNP cord-291786-66c8xta0 256 2 complexity complexity NN cord-291786-66c8xta0 256 3 analysis analysis NN cord-291786-66c8xta0 256 4 results result NNS cord-291786-66c8xta0 256 5 are be VBP cord-291786-66c8xta0 256 6 shown show VBN cord-291786-66c8xta0 256 7 in in IN cord-291786-66c8xta0 256 8 Fig Fig NNP cord-291786-66c8xta0 256 9 . . NNP cord-291786-66c8xta0 256 10 10a 10a CD cord-291786-66c8xta0 256 11 , , , cord-291786-66c8xta0 256 12 b b NN cord-291786-66c8xta0 256 13 , , , cord-291786-66c8xta0 256 14 where where WRB cord-291786-66c8xta0 256 15 Fig Fig NNP cord-291786-66c8xta0 256 16 . . . cord-291786-66c8xta0 256 17 10a 10a NNS cord-291786-66c8xta0 256 18 for for IN cord-291786-66c8xta0 256 19 e e NN cord-291786-66c8xta0 256 20 2 2 CD cord-291786-66c8xta0 256 21 ¼ ¼ CD cord-291786-66c8xta0 256 22 0 0 CD cord-291786-66c8xta0 256 23 and and CC cord-291786-66c8xta0 256 24 Fig Fig NNP cord-291786-66c8xta0 256 25 . . . cord-291786-66c8xta0 256 26 10b 10b NNS cord-291786-66c8xta0 256 27 for for IN cord-291786-66c8xta0 256 28 e e NN cord-291786-66c8xta0 256 29 2 2 CD cord-291786-66c8xta0 256 30 ¼ ¼ CD cord-291786-66c8xta0 256 31 0:2 0:2 CD cord-291786-66c8xta0 256 32 . . . cord-291786-66c8xta0 257 1 Fix fix VB cord-291786-66c8xta0 257 2 a a DT cord-291786-66c8xta0 257 3 ¼ ¼ NN cord-291786-66c8xta0 257 4 0:08 0:08 NN cord-291786-66c8xta0 257 5 and and CC cord-291786-66c8xta0 257 6 the the DT cord-291786-66c8xta0 257 7 parameter parameter NN cord-291786-66c8xta0 257 8 e e NN cord-291786-66c8xta0 257 9 1 1 CD cord-291786-66c8xta0 257 10 varies vary VBZ cord-291786-66c8xta0 257 11 from from IN cord-291786-66c8xta0 257 12 0.1 0.1 CD cord-291786-66c8xta0 257 13 to to IN cord-291786-66c8xta0 257 14 1 1 CD cord-291786-66c8xta0 257 15 with with IN cord-291786-66c8xta0 257 16 step step NN cord-291786-66c8xta0 257 17 size size NN cord-291786-66c8xta0 257 18 of of IN cord-291786-66c8xta0 257 19 0.0036 0.0036 CD cord-291786-66c8xta0 257 20 . . . cord-291786-66c8xta0 258 1 The the DT cord-291786-66c8xta0 258 2 complexity complexity NN cord-291786-66c8xta0 258 3 analysis analysis NN cord-291786-66c8xta0 258 4 results result NNS cord-291786-66c8xta0 258 5 with with IN cord-291786-66c8xta0 258 6 e e NN cord-291786-66c8xta0 258 7 1 1 CD cord-291786-66c8xta0 258 8 are be VBP cord-291786-66c8xta0 258 9 shown show VBN cord-291786-66c8xta0 258 10 in in IN cord-291786-66c8xta0 258 11 Fig Fig NNP cord-291786-66c8xta0 258 12 . . . cord-291786-66c8xta0 259 1 10c 10c NNS cord-291786-66c8xta0 259 2 , , , cord-291786-66c8xta0 260 1 d. d. NNP cord-291786-66c8xta0 261 1 Here here RB cord-291786-66c8xta0 261 2 , , , cord-291786-66c8xta0 261 3 e e NN cord-291786-66c8xta0 261 4 2 2 CD cord-291786-66c8xta0 261 5 ¼ ¼ CD cord-291786-66c8xta0 261 6 0 0 NFP cord-291786-66c8xta0 261 7 is be VBZ cord-291786-66c8xta0 261 8 employed employ VBN cord-291786-66c8xta0 261 9 in in IN cord-291786-66c8xta0 261 10 Fig Fig NNP cord-291786-66c8xta0 261 11 . . NNP cord-291786-66c8xta0 261 12 10c 10c CD cord-291786-66c8xta0 261 13 , , , cord-291786-66c8xta0 261 14 while while IN cord-291786-66c8xta0 261 15 e e NN cord-291786-66c8xta0 261 16 2 2 CD cord-291786-66c8xta0 261 17 ¼ ¼ CD cord-291786-66c8xta0 261 18 0:2 0:2 CD cord-291786-66c8xta0 261 19 is be VBZ cord-291786-66c8xta0 261 20 used use VBN cord-291786-66c8xta0 261 21 in in IN cord-291786-66c8xta0 261 22 Fig Fig NNP cord-291786-66c8xta0 261 23 . . . cord-291786-66c8xta0 261 24 10d 10d NNS cord-291786-66c8xta0 261 25 . . . cord-291786-66c8xta0 262 1 The the DT cord-291786-66c8xta0 262 2 complexity complexity NN cord-291786-66c8xta0 262 3 analysis analysis NN cord-291786-66c8xta0 262 4 results result NNS cord-291786-66c8xta0 262 5 with with IN cord-291786-66c8xta0 262 6 parameters parameter NNS cord-291786-66c8xta0 262 7 show show VBP cord-291786-66c8xta0 262 8 that that IN cord-291786-66c8xta0 262 9 the the DT cord-291786-66c8xta0 262 10 stochastic stochastic JJ cord-291786-66c8xta0 262 11 infection infection NN cord-291786-66c8xta0 262 12 does do VBZ cord-291786-66c8xta0 262 13 not not RB cord-291786-66c8xta0 262 14 affect affect VB cord-291786-66c8xta0 262 15 the the DT cord-291786-66c8xta0 262 16 complexity complexity NN cord-291786-66c8xta0 262 17 of of IN cord-291786-66c8xta0 262 18 the the DT cord-291786-66c8xta0 262 19 system system NN cord-291786-66c8xta0 262 20 . . . cord-291786-66c8xta0 263 1 The the DT cord-291786-66c8xta0 263 2 system system NN cord-291786-66c8xta0 263 3 has have VBZ cord-291786-66c8xta0 263 4 higher high JJR cord-291786-66c8xta0 263 5 complexity complexity NN cord-291786-66c8xta0 263 6 when when WRB cord-291786-66c8xta0 263 7 a a DT cord-291786-66c8xta0 263 8 takes take VBZ cord-291786-66c8xta0 263 9 values value NNS cord-291786-66c8xta0 263 10 between between IN cord-291786-66c8xta0 263 11 0.03 0.03 CD cord-291786-66c8xta0 263 12 and and CC cord-291786-66c8xta0 263 13 0.06 0.06 CD cord-291786-66c8xta0 263 14 , , , cord-291786-66c8xta0 263 15 and and CC cord-291786-66c8xta0 263 16 e e NN cord-291786-66c8xta0 263 17 1 1 CD cord-291786-66c8xta0 263 18 takes take VBZ cord-291786-66c8xta0 263 19 those those DT cord-291786-66c8xta0 263 20 values value NNS cord-291786-66c8xta0 263 21 which which WDT cord-291786-66c8xta0 263 22 are be VBP cord-291786-66c8xta0 263 23 larger large JJR cord-291786-66c8xta0 263 24 than than IN cord-291786-66c8xta0 263 25 0.6 0.6 CD cord-291786-66c8xta0 263 26 . . . cord-291786-66c8xta0 264 1 Fix fix NN cord-291786-66c8xta0 264 2 e e NN cord-291786-66c8xta0 264 3 2 2 CD cord-291786-66c8xta0 264 4 ¼ ¼ CD cord-291786-66c8xta0 264 5 0 0 CD cord-291786-66c8xta0 264 6 , , , cord-291786-66c8xta0 264 7 vary vary VBP cord-291786-66c8xta0 264 8 a a DT cord-291786-66c8xta0 264 9 from from IN cord-291786-66c8xta0 264 10 0.02 0.02 CD cord-291786-66c8xta0 264 11 to to IN cord-291786-66c8xta0 264 12 0.08 0.08 CD cord-291786-66c8xta0 264 13 with with IN cord-291786-66c8xta0 264 14 step step NN cord-291786-66c8xta0 264 15 size size NN cord-291786-66c8xta0 264 16 of of IN cord-291786-66c8xta0 264 17 0.0006 0.0006 CD cord-291786-66c8xta0 264 18 and and CC cord-291786-66c8xta0 264 19 e e NN cord-291786-66c8xta0 264 20 1 1 CD cord-291786-66c8xta0 264 21 varies vary VBZ cord-291786-66c8xta0 264 22 from from IN cord-291786-66c8xta0 264 23 0.1 0.1 CD cord-291786-66c8xta0 264 24 to to IN cord-291786-66c8xta0 264 25 1 1 CD cord-291786-66c8xta0 264 26 with with IN cord-291786-66c8xta0 264 27 step step NN cord-291786-66c8xta0 264 28 size size NN cord-291786-66c8xta0 264 29 of of IN cord-291786-66c8xta0 264 30 0.009 0.009 CD cord-291786-66c8xta0 264 31 . . . cord-291786-66c8xta0 265 1 The the DT cord-291786-66c8xta0 265 2 complexity complexity NN cord-291786-66c8xta0 265 3 analysis analysis NN cord-291786-66c8xta0 265 4 result result VBP cord-291786-66c8xta0 265 5 in in IN cord-291786-66c8xta0 265 6 the the DT cord-291786-66c8xta0 265 7 a a NNP cord-291786-66c8xta0 265 8 À à NN cord-291786-66c8xta0 265 9 e e NN cord-291786-66c8xta0 265 10 1 1 CD cord-291786-66c8xta0 265 11 plane plane NN cord-291786-66c8xta0 265 12 is be VBZ cord-291786-66c8xta0 265 13 shown show VBN cord-291786-66c8xta0 265 14 in in IN cord-291786-66c8xta0 265 15 Fig Fig NNP cord-291786-66c8xta0 265 16 . . . cord-291786-66c8xta0 266 1 11 11 CD cord-291786-66c8xta0 266 2 . . . cord-291786-66c8xta0 267 1 Obviously obviously RB cord-291786-66c8xta0 267 2 , , , cord-291786-66c8xta0 267 3 the the DT cord-291786-66c8xta0 267 4 higher high JJR cord-291786-66c8xta0 267 5 complexity complexity NN cord-291786-66c8xta0 267 6 region region NN cord-291786-66c8xta0 267 7 is be VBZ cord-291786-66c8xta0 267 8 located locate VBN cord-291786-66c8xta0 267 9 in in IN cord-291786-66c8xta0 267 10 the the DT cord-291786-66c8xta0 267 11 right right JJ cord-291786-66c8xta0 267 12 side side NN cord-291786-66c8xta0 267 13 of of IN cord-291786-66c8xta0 267 14 the the DT cord-291786-66c8xta0 267 15 parameter parameter NN cord-291786-66c8xta0 267 16 plane plane NN cord-291786-66c8xta0 267 17 , , , cord-291786-66c8xta0 267 18 where where WRB cord-291786-66c8xta0 267 19 a a DT cord-291786-66c8xta0 267 20 2 2 CD cord-291786-66c8xta0 267 21 ½0:4 ½0:4 SYM cord-291786-66c8xta0 267 22 ; ; : cord-291786-66c8xta0 267 23 1 1 CD cord-291786-66c8xta0 267 24 and and CC cord-291786-66c8xta0 267 25 e e NN cord-291786-66c8xta0 267 26 1 1 CD cord-291786-66c8xta0 267 27 2 2 CD cord-291786-66c8xta0 267 28 ½0:025 ½0:025 CD cord-291786-66c8xta0 267 29 ; ; : cord-291786-66c8xta0 267 30 0:055 0:055 CD cord-291786-66c8xta0 267 31 . . . cord-291786-66c8xta0 268 1 Since since IN cord-291786-66c8xta0 268 2 the the DT cord-291786-66c8xta0 268 3 complexity complexity NN cord-291786-66c8xta0 268 4 measure measure NN cord-291786-66c8xta0 268 5 results result NNS cord-291786-66c8xta0 268 6 are be VBP cord-291786-66c8xta0 268 7 obtained obtain VBN cord-291786-66c8xta0 268 8 based base VBN cord-291786-66c8xta0 268 9 on on IN cord-291786-66c8xta0 268 10 the the DT cord-291786-66c8xta0 268 11 generated generate VBN cord-291786-66c8xta0 268 12 time time NN cord-291786-66c8xta0 268 13 series series NN cord-291786-66c8xta0 268 14 , , , cord-291786-66c8xta0 268 15 MSE MSE NNP cord-291786-66c8xta0 268 16 provides provide VBZ cord-291786-66c8xta0 268 17 an an DT cord-291786-66c8xta0 268 18 effective effective JJ cord-291786-66c8xta0 268 19 way way NN cord-291786-66c8xta0 268 20 for for IN cord-291786-66c8xta0 268 21 the the DT cord-291786-66c8xta0 268 22 dynamics dynamic NNS cord-291786-66c8xta0 268 23 analysis analysis NN cord-291786-66c8xta0 268 24 of of IN cord-291786-66c8xta0 268 25 the the DT cord-291786-66c8xta0 268 26 system system NN cord-291786-66c8xta0 268 27 . . . cord-291786-66c8xta0 269 1 When when WRB cord-291786-66c8xta0 269 2 there there EX cord-291786-66c8xta0 269 3 is be VBZ cord-291786-66c8xta0 269 4 higher high JJR cord-291786-66c8xta0 269 5 complexity complexity NN cord-291786-66c8xta0 269 6 , , , cord-291786-66c8xta0 269 7 the the DT cord-291786-66c8xta0 269 8 behavior behavior NN cord-291786-66c8xta0 269 9 of of IN cord-291786-66c8xta0 269 10 the the DT cord-291786-66c8xta0 269 11 model model NN cord-291786-66c8xta0 269 12 is be VBZ cord-291786-66c8xta0 269 13 more more RBR cord-291786-66c8xta0 269 14 complex complex JJ cord-291786-66c8xta0 269 15 , , , cord-291786-66c8xta0 269 16 vice vice NN cord-291786-66c8xta0 269 17 versa versa RB cord-291786-66c8xta0 269 18 . . . cord-291786-66c8xta0 270 1 For for IN cord-291786-66c8xta0 270 2 a a DT cord-291786-66c8xta0 270 3 epidemic epidemic NN cord-291786-66c8xta0 270 4 system system NN cord-291786-66c8xta0 270 5 , , , cord-291786-66c8xta0 270 6 high high JJ cord-291786-66c8xta0 270 7 complexity complexity NN cord-291786-66c8xta0 270 8 means mean VBZ cord-291786-66c8xta0 270 9 outbreak outbreak NN cord-291786-66c8xta0 270 10 . . . cord-291786-66c8xta0 271 1 Thus thus RB cord-291786-66c8xta0 271 2 , , , cord-291786-66c8xta0 271 3 we -PRON- PRP cord-291786-66c8xta0 271 4 can can MD cord-291786-66c8xta0 271 5 use use VB cord-291786-66c8xta0 271 6 the the DT cord-291786-66c8xta0 271 7 complexity complexity NN cord-291786-66c8xta0 271 8 measure measure NN cord-291786-66c8xta0 271 9 algorithm algorithm NN cord-291786-66c8xta0 271 10 to to TO cord-291786-66c8xta0 271 11 monitor monitor VB cord-291786-66c8xta0 271 12 the the DT cord-291786-66c8xta0 271 13 dynamics dynamic NNS cord-291786-66c8xta0 271 14 of of IN cord-291786-66c8xta0 271 15 the the DT cord-291786-66c8xta0 271 16 proposed propose VBN cord-291786-66c8xta0 271 17 SEIR seir NN cord-291786-66c8xta0 271 18 system system NN cord-291786-66c8xta0 271 19 . . . cord-291786-66c8xta0 272 1 In in IN cord-291786-66c8xta0 272 2 this this DT cord-291786-66c8xta0 272 3 paper paper NN cord-291786-66c8xta0 272 4 , , , cord-291786-66c8xta0 272 5 the the DT cord-291786-66c8xta0 272 6 parameters parameter NNS cord-291786-66c8xta0 272 7 of of IN cord-291786-66c8xta0 272 8 the the DT cord-291786-66c8xta0 272 9 system system NN cord-291786-66c8xta0 272 10 are be VBP cord-291786-66c8xta0 272 11 mainly mainly RB cord-291786-66c8xta0 272 12 chosen choose VBN cord-291786-66c8xta0 272 13 by by IN cord-291786-66c8xta0 272 14 two two CD cord-291786-66c8xta0 272 15 means mean NNS cord-291786-66c8xta0 272 16 including include VBG cord-291786-66c8xta0 272 17 the the DT cord-291786-66c8xta0 272 18 references reference NNS cord-291786-66c8xta0 272 19 and and CC cord-291786-66c8xta0 272 20 the the DT cord-291786-66c8xta0 272 21 PSO PSO NNP cord-291786-66c8xta0 272 22 algorithm algorithm NN cord-291786-66c8xta0 272 23 . . . cord-291786-66c8xta0 273 1 Usually usually RB cord-291786-66c8xta0 273 2 , , , cord-291786-66c8xta0 273 3 the the DT cord-291786-66c8xta0 273 4 parameters parameter NNS cord-291786-66c8xta0 273 5 can can MD cord-291786-66c8xta0 273 6 be be VB cord-291786-66c8xta0 273 7 set set VBN cord-291786-66c8xta0 273 8 according accord VBG cord-291786-66c8xta0 273 9 to to IN cord-291786-66c8xta0 273 10 the the DT cord-291786-66c8xta0 273 11 existing exist VBG cord-291786-66c8xta0 273 12 work work NN cord-291786-66c8xta0 273 13 . . . cord-291786-66c8xta0 274 1 For for IN cord-291786-66c8xta0 274 2 instance instance NN cord-291786-66c8xta0 274 3 , , , cord-291786-66c8xta0 274 4 the the DT cord-291786-66c8xta0 274 5 contact contact NN cord-291786-66c8xta0 274 6 and and CC cord-291786-66c8xta0 274 7 infection infection NN cord-291786-66c8xta0 274 8 rate rate NN cord-291786-66c8xta0 274 9 parameters parameter NNS cord-291786-66c8xta0 274 10 are be VBP cord-291786-66c8xta0 274 11 defined define VBN cord-291786-66c8xta0 274 12 according accord VBG cord-291786-66c8xta0 274 13 to to IN cord-291786-66c8xta0 274 14 Refs ref NNS cord-291786-66c8xta0 274 15 . . . cord-291786-66c8xta0 275 1 [ [ -LRB- cord-291786-66c8xta0 275 2 26 26 CD cord-291786-66c8xta0 275 3 , , , cord-291786-66c8xta0 275 4 29 29 CD cord-291786-66c8xta0 275 5 ] ] -RRB- cord-291786-66c8xta0 275 6 . . . cord-291786-66c8xta0 276 1 Also also RB cord-291786-66c8xta0 276 2 , , , cord-291786-66c8xta0 276 3 there there EX cord-291786-66c8xta0 276 4 are be VBP cord-291786-66c8xta0 276 5 some some DT cord-291786-66c8xta0 276 6 other other JJ cord-291786-66c8xta0 276 7 references reference NNS cord-291786-66c8xta0 276 8 which which WDT cord-291786-66c8xta0 276 9 show show VBP cord-291786-66c8xta0 276 10 some some DT cord-291786-66c8xta0 276 11 parameters parameter NNS cord-291786-66c8xta0 276 12 of of IN cord-291786-66c8xta0 276 13 the the DT cord-291786-66c8xta0 276 14 system system NN cord-291786-66c8xta0 276 15 . . . cord-291786-66c8xta0 277 1 Moreover moreover RB cord-291786-66c8xta0 277 2 , , , cord-291786-66c8xta0 277 3 since since IN cord-291786-66c8xta0 277 4 there there EX cord-291786-66c8xta0 277 5 is be VBZ cord-291786-66c8xta0 277 6 actual actual JJ cord-291786-66c8xta0 277 7 COVID-19 COVID-19 NNP cord-291786-66c8xta0 277 8 data datum NNS cord-291786-66c8xta0 277 9 from from IN cord-291786-66c8xta0 277 10 Hubei Hubei NNP cord-291786-66c8xta0 277 11 province province NN cord-291786-66c8xta0 277 12 , , , cord-291786-66c8xta0 277 13 we -PRON- PRP cord-291786-66c8xta0 277 14 use use VBP cord-291786-66c8xta0 277 15 the the DT cord-291786-66c8xta0 277 16 PSO PSO NNP cord-291786-66c8xta0 277 17 algorithm algorithm NN cord-291786-66c8xta0 277 18 to to TO cord-291786-66c8xta0 277 19 estimate estimate VB cord-291786-66c8xta0 277 20 the the DT cord-291786-66c8xta0 277 21 parameters parameter NNS cord-291786-66c8xta0 277 22 of of IN cord-291786-66c8xta0 277 23 the the DT cord-291786-66c8xta0 277 24 system system NN cord-291786-66c8xta0 277 25 . . . cord-291786-66c8xta0 278 1 As as IN cord-291786-66c8xta0 278 2 shown show VBN cord-291786-66c8xta0 278 3 above above RB cord-291786-66c8xta0 278 4 , , , cord-291786-66c8xta0 278 5 the the DT cord-291786-66c8xta0 278 6 system system NN cord-291786-66c8xta0 278 7 has have VBZ cord-291786-66c8xta0 278 8 rich rich JJ cord-291786-66c8xta0 278 9 dynamics dynamic NNS cord-291786-66c8xta0 278 10 with with IN cord-291786-66c8xta0 278 11 the the DT cord-291786-66c8xta0 278 12 given give VBN cord-291786-66c8xta0 278 13 parameters parameter NNS cord-291786-66c8xta0 278 14 , , , cord-291786-66c8xta0 278 15 especially especially RB cord-291786-66c8xta0 278 16 when when WRB cord-291786-66c8xta0 278 17 the the DT cord-291786-66c8xta0 278 18 parameters parameter NNS cord-291786-66c8xta0 278 19 b b NNP cord-291786-66c8xta0 278 20 1 1 CD cord-291786-66c8xta0 278 21 , , , cord-291786-66c8xta0 278 22 b b NN cord-291786-66c8xta0 278 23 2 2 CD cord-291786-66c8xta0 278 24 and and CC cord-291786-66c8xta0 278 25 v v TO cord-291786-66c8xta0 278 26 have have VB cord-291786-66c8xta0 278 27 seasonality seasonality NN cord-291786-66c8xta0 278 28 and and CC cord-291786-66c8xta0 278 29 stochastic stochastic JJ cord-291786-66c8xta0 278 30 infection infection NN cord-291786-66c8xta0 278 31 . . . cord-291786-66c8xta0 279 1 The the DT cord-291786-66c8xta0 279 2 existence existence NN cord-291786-66c8xta0 279 3 of of IN cord-291786-66c8xta0 279 4 chaos chaos NN cord-291786-66c8xta0 279 5 is be VBZ cord-291786-66c8xta0 279 6 verified verify VBN cord-291786-66c8xta0 279 7 by by IN cord-291786-66c8xta0 279 8 the the DT cord-291786-66c8xta0 279 9 0 0 CD cord-291786-66c8xta0 279 10 - - SYM cord-291786-66c8xta0 279 11 1 1 CD cord-291786-66c8xta0 279 12 test test NN cord-291786-66c8xta0 279 13 , , , cord-291786-66c8xta0 279 14 and and CC cord-291786-66c8xta0 279 15 complexity complexity NN cord-291786-66c8xta0 279 16 of of IN cord-291786-66c8xta0 279 17 the the DT cord-291786-66c8xta0 279 18 generated generate VBN cord-291786-66c8xta0 279 19 time time NN cord-291786-66c8xta0 279 20 series series NNP cord-291786-66c8xta0 279 21 is be VBZ cord-291786-66c8xta0 279 22 measured measure VBN cord-291786-66c8xta0 279 23 . . . cord-291786-66c8xta0 280 1 Here here RB cord-291786-66c8xta0 280 2 , , , cord-291786-66c8xta0 280 3 different different JJ cord-291786-66c8xta0 280 4 sets set NNS cord-291786-66c8xta0 280 5 of of IN cord-291786-66c8xta0 280 6 parameters parameter NNS cord-291786-66c8xta0 280 7 are be VBP cord-291786-66c8xta0 280 8 summarized summarize VBN cord-291786-66c8xta0 280 9 in in IN cord-291786-66c8xta0 280 10 Table Table NNP cord-291786-66c8xta0 280 11 6 6 CD cord-291786-66c8xta0 280 12 . . . cord-291786-66c8xta0 281 1 It -PRON- PRP cord-291786-66c8xta0 281 2 should should MD cord-291786-66c8xta0 281 3 noted note VBN cord-291786-66c8xta0 281 4 that that IN cord-291786-66c8xta0 281 5 , , , cord-291786-66c8xta0 281 6 when when WRB cord-291786-66c8xta0 281 7 the the DT cord-291786-66c8xta0 281 8 parameters parameter NNS cord-291786-66c8xta0 281 9 are be VBP cord-291786-66c8xta0 281 10 set set VBN cord-291786-66c8xta0 281 11 as as IN cord-291786-66c8xta0 281 12 the the DT cord-291786-66c8xta0 281 13 set set NN cord-291786-66c8xta0 281 14 A A NNP cord-291786-66c8xta0 281 15 , , , cord-291786-66c8xta0 281 16 they -PRON- PRP cord-291786-66c8xta0 281 17 seem seem VBP cord-291786-66c8xta0 281 18 ' ' `` cord-291786-66c8xta0 281 19 ' ' `` cord-291786-66c8xta0 281 20 large large JJ cord-291786-66c8xta0 281 21 . . . cord-291786-66c8xta0 281 22 ' ' '' cord-291786-66c8xta0 281 23 ' ' '' cord-291786-66c8xta0 282 1 However however RB cord-291786-66c8xta0 282 2 , , , cord-291786-66c8xta0 282 3 those those DT cord-291786-66c8xta0 282 4 parameters parameter NNS cord-291786-66c8xta0 282 5 should should MD cord-291786-66c8xta0 282 6 be be VB cord-291786-66c8xta0 282 7 multiplied multiply VBN cord-291786-66c8xta0 282 8 by by IN cord-291786-66c8xta0 283 1 S S NNP cord-291786-66c8xta0 283 2 / / SYM cord-291786-66c8xta0 283 3 N. N. NNP cord-291786-66c8xta0 283 4 Thus thus RB cord-291786-66c8xta0 283 5 , , , cord-291786-66c8xta0 283 6 they -PRON- PRP cord-291786-66c8xta0 283 7 are be VBP cord-291786-66c8xta0 283 8 reasonable reasonable JJ cord-291786-66c8xta0 283 9 for for IN cord-291786-66c8xta0 283 10 the the DT cord-291786-66c8xta0 283 11 proposed propose VBN cord-291786-66c8xta0 283 12 model model NN cord-291786-66c8xta0 283 13 . . . cord-291786-66c8xta0 284 1 According accord VBG cord-291786-66c8xta0 284 2 to to IN cord-291786-66c8xta0 284 3 our -PRON- PRP$ cord-291786-66c8xta0 284 4 analysis analysis NN cord-291786-66c8xta0 284 5 , , , cord-291786-66c8xta0 284 6 it -PRON- PRP cord-291786-66c8xta0 284 7 shows show VBZ cord-291786-66c8xta0 284 8 that that IN cord-291786-66c8xta0 284 9 chaos chaos NN cord-291786-66c8xta0 284 10 are be VBP cord-291786-66c8xta0 284 11 found find VBN cord-291786-66c8xta0 284 12 in in IN cord-291786-66c8xta0 284 13 the the DT cord-291786-66c8xta0 284 14 system system NN cord-291786-66c8xta0 284 15 with with IN cord-291786-66c8xta0 284 16 those those DT cord-291786-66c8xta0 284 17 ' ' `` cord-291786-66c8xta0 284 18 ' ' `` cord-291786-66c8xta0 284 19 large large JJ cord-291786-66c8xta0 284 20 parameters parameter NNS cord-291786-66c8xta0 284 21 . . . cord-291786-66c8xta0 284 22 ' ' '' cord-291786-66c8xta0 284 23 ' ' '' cord-291786-66c8xta0 285 1 In in IN cord-291786-66c8xta0 285 2 fact fact NN cord-291786-66c8xta0 285 3 , , , cord-291786-66c8xta0 285 4 we -PRON- PRP cord-291786-66c8xta0 285 5 want want VBP cord-291786-66c8xta0 285 6 to to TO cord-291786-66c8xta0 285 7 explore explore VB cord-291786-66c8xta0 285 8 the the DT cord-291786-66c8xta0 285 9 nonlinear nonlinear JJ cord-291786-66c8xta0 285 10 dynamics dynamic NNS cord-291786-66c8xta0 285 11 of of IN cord-291786-66c8xta0 285 12 the the DT cord-291786-66c8xta0 285 13 proposed propose VBN cord-291786-66c8xta0 285 14 system system NN cord-291786-66c8xta0 285 15 and and CC cord-291786-66c8xta0 285 16 to to TO cord-291786-66c8xta0 285 17 study study VB cord-291786-66c8xta0 285 18 how how WRB cord-291786-66c8xta0 285 19 does do VBZ cord-291786-66c8xta0 285 20 chaos chaos NN cord-291786-66c8xta0 285 21 occur occur VB cord-291786-66c8xta0 285 22 in in IN cord-291786-66c8xta0 285 23 the the DT cord-291786-66c8xta0 285 24 system system NN cord-291786-66c8xta0 285 25 . . . cord-291786-66c8xta0 286 1 Figure figure NN cord-291786-66c8xta0 286 2 12 12 CD cord-291786-66c8xta0 286 3 shows show VBZ cord-291786-66c8xta0 286 4 the the DT cord-291786-66c8xta0 286 5 evolution evolution NN cord-291786-66c8xta0 286 6 of of IN cord-291786-66c8xta0 286 7 the the DT cord-291786-66c8xta0 286 8 system system NN cord-291786-66c8xta0 286 9 with with IN cord-291786-66c8xta0 286 10 different different JJ cord-291786-66c8xta0 286 11 parameters parameter NNS cord-291786-66c8xta0 286 12 . . . cord-291786-66c8xta0 287 1 The the DT cord-291786-66c8xta0 287 2 parameters parameter NNS cord-291786-66c8xta0 287 3 used use VBD cord-291786-66c8xta0 287 4 the the DT cord-291786-66c8xta0 287 5 Set set NN cord-291786-66c8xta0 287 6 D d NN cord-291786-66c8xta0 287 7 , , , cord-291786-66c8xta0 287 8 and and CC cord-291786-66c8xta0 287 9 different different JJ cord-291786-66c8xta0 287 10 colors color NNS cord-291786-66c8xta0 287 11 lines line NNS cord-291786-66c8xta0 287 12 in in IN cord-291786-66c8xta0 287 13 the the DT cord-291786-66c8xta0 287 14 figure figure NN cord-291786-66c8xta0 287 15 including include VBG cord-291786-66c8xta0 287 16 magenta magenta JJ cord-291786-66c8xta0 287 17 color color NN cord-291786-66c8xta0 287 18 lines line NNS cord-291786-66c8xta0 287 19 ( ( -LRB- cord-291786-66c8xta0 287 20 M M NNP cord-291786-66c8xta0 287 21 ) ) -RRB- cord-291786-66c8xta0 287 22 , , , cord-291786-66c8xta0 287 23 blue blue JJ cord-291786-66c8xta0 287 24 color color NN cord-291786-66c8xta0 287 25 lines line NNS cord-291786-66c8xta0 287 26 ( ( -LRB- cord-291786-66c8xta0 287 27 B b NN cord-291786-66c8xta0 287 28 ) ) -RRB- cord-291786-66c8xta0 287 29 , , , cord-291786-66c8xta0 287 30 red red JJ cord-291786-66c8xta0 287 31 color color NN cord-291786-66c8xta0 287 32 lines line NNS cord-291786-66c8xta0 287 33 ( ( -LRB- cord-291786-66c8xta0 287 34 R r NN cord-291786-66c8xta0 287 35 ) ) -RRB- cord-291786-66c8xta0 287 36 and and CC cord-291786-66c8xta0 287 37 green green JJ cord-291786-66c8xta0 287 38 color color NN cord-291786-66c8xta0 287 39 lines line NNS cord-291786-66c8xta0 287 40 ( ( -LRB- cord-291786-66c8xta0 287 41 G G NNP cord-291786-66c8xta0 287 42 ) ) -RRB- cord-291786-66c8xta0 287 43 are be VBP cord-291786-66c8xta0 287 44 obtained obtain VBN cord-291786-66c8xta0 287 45 using use VBG cord-291786-66c8xta0 287 46 the the DT cord-291786-66c8xta0 287 47 following follow VBG cord-291786-66c8xta0 287 48 parameters parameter NNS cord-291786-66c8xta0 287 49 : : : cord-291786-66c8xta0 287 50 It -PRON- PRP cord-291786-66c8xta0 287 51 shows show VBZ cord-291786-66c8xta0 287 52 that that IN cord-291786-66c8xta0 287 53 the the DT cord-291786-66c8xta0 287 54 number number NN cord-291786-66c8xta0 287 55 of of IN cord-291786-66c8xta0 287 56 infected infected JJ cord-291786-66c8xta0 287 57 class class NN cord-291786-66c8xta0 287 58 ( ( -LRB- cord-291786-66c8xta0 287 59 I i NN cord-291786-66c8xta0 287 60 1 1 CD cord-291786-66c8xta0 287 61 , , , cord-291786-66c8xta0 287 62 I -PRON- PRP cord-291786-66c8xta0 287 63 2 2 CD cord-291786-66c8xta0 287 64 ) ) -RRB- cord-291786-66c8xta0 287 65 and and CC cord-291786-66c8xta0 287 66 hospitalized hospitalize VBN cord-291786-66c8xta0 287 67 class class NN cord-291786-66c8xta0 287 68 ( ( -LRB- cord-291786-66c8xta0 287 69 H h NN cord-291786-66c8xta0 287 70 ) ) -RRB- cord-291786-66c8xta0 287 71 is be VBZ cord-291786-66c8xta0 287 72 different different JJ cord-291786-66c8xta0 287 73 with with IN cord-291786-66c8xta0 287 74 different different JJ cord-291786-66c8xta0 287 75 parameters parameter NNS cord-291786-66c8xta0 287 76 . . . cord-291786-66c8xta0 288 1 When when WRB cord-291786-66c8xta0 288 2 u u NNP cord-291786-66c8xta0 288 3 ¼ ¼ NNP cord-291786-66c8xta0 288 4 0:0009 0:0009 NNP cord-291786-66c8xta0 288 5 , , , cord-291786-66c8xta0 288 6 there there EX cord-291786-66c8xta0 288 7 is be VBZ cord-291786-66c8xta0 288 8 a a DT cord-291786-66c8xta0 288 9 peak peak NN cord-291786-66c8xta0 288 10 value value NN cord-291786-66c8xta0 288 11 for for IN cord-291786-66c8xta0 288 12 I -PRON- PRP cord-291786-66c8xta0 288 13 2 2 CD cord-291786-66c8xta0 288 14 . . . cord-291786-66c8xta0 289 1 It -PRON- PRP cord-291786-66c8xta0 289 2 means mean VBZ cord-291786-66c8xta0 289 3 that that IN cord-291786-66c8xta0 289 4 if if IN cord-291786-66c8xta0 289 5 the the DT cord-291786-66c8xta0 289 6 hospital hospital NN cord-291786-66c8xta0 289 7 reception reception NN cord-291786-66c8xta0 289 8 capacity capacity NN cord-291786-66c8xta0 289 9 is be VBZ cord-291786-66c8xta0 289 10 limited limit VBN cord-291786-66c8xta0 289 11 , , , cord-291786-66c8xta0 289 12 the the DT cord-291786-66c8xta0 289 13 infected infected JJ cord-291786-66c8xta0 289 14 class class NN cord-291786-66c8xta0 289 15 ( ( -LRB- cord-291786-66c8xta0 289 16 I i NN cord-291786-66c8xta0 289 17 2 2 CD cord-291786-66c8xta0 289 18 ) ) -RRB- cord-291786-66c8xta0 289 19 will will MD cord-291786-66c8xta0 289 20 increase increase VB cord-291786-66c8xta0 289 21 dramatically dramatically RB cord-291786-66c8xta0 289 22 . . . cord-291786-66c8xta0 290 1 However however RB cord-291786-66c8xta0 290 2 , , , cord-291786-66c8xta0 290 3 when when WRB cord-291786-66c8xta0 290 4 u u NNP cord-291786-66c8xta0 290 5 ¼ ¼ NNP cord-291786-66c8xta0 290 6 0:8 0:8 CD cord-291786-66c8xta0 290 7 , , , cord-291786-66c8xta0 290 8 the the DT cord-291786-66c8xta0 290 9 infected infected JJ cord-291786-66c8xta0 290 10 class class NN cord-291786-66c8xta0 290 11 ( ( -LRB- cord-291786-66c8xta0 290 12 I i NN cord-291786-66c8xta0 290 13 2 2 CD cord-291786-66c8xta0 290 14 ) ) -RRB- cord-291786-66c8xta0 290 15 keeps keep VBZ cord-291786-66c8xta0 290 16 a a DT cord-291786-66c8xta0 290 17 relative relative JJ cord-291786-66c8xta0 290 18 low low JJ cord-291786-66c8xta0 290 19 level level NN cord-291786-66c8xta0 290 20 ; ; : cord-291786-66c8xta0 290 21 thus thus RB cord-291786-66c8xta0 290 22 , , , cord-291786-66c8xta0 290 23 the the DT cord-291786-66c8xta0 290 24 infection infection NN cord-291786-66c8xta0 290 25 can can MD cord-291786-66c8xta0 290 26 be be VB cord-291786-66c8xta0 290 27 controlled control VBN cord-291786-66c8xta0 290 28 well well RB cord-291786-66c8xta0 290 29 . . . cord-291786-66c8xta0 291 1 As as IN cord-291786-66c8xta0 291 2 shown show VBN cord-291786-66c8xta0 291 3 in in IN cord-291786-66c8xta0 291 4 Fig Fig NNP cord-291786-66c8xta0 291 5 . . . cord-291786-66c8xta0 292 1 12 12 CD cord-291786-66c8xta0 292 2 , , , cord-291786-66c8xta0 292 3 when when WRB cord-291786-66c8xta0 292 4 a a DT cord-291786-66c8xta0 292 5 ¼ ¼ NNP cord-291786-66c8xta0 292 6 0:5 0:5 CD cord-291786-66c8xta0 292 7 , , , cord-291786-66c8xta0 292 8 it -PRON- PRP cord-291786-66c8xta0 292 9 is be VBZ cord-291786-66c8xta0 292 10 quite quite RB cord-291786-66c8xta0 292 11 difficulty difficulty NN cord-291786-66c8xta0 292 12 for for IN cord-291786-66c8xta0 292 13 the the DT cord-291786-66c8xta0 292 14 system system NN cord-291786-66c8xta0 292 15 to to TO cord-291786-66c8xta0 292 16 become become VB cord-291786-66c8xta0 292 17 convergent convergent JJ cord-291786-66c8xta0 292 18 . . . cord-291786-66c8xta0 293 1 The the DT cord-291786-66c8xta0 293 2 reason reason NN cord-291786-66c8xta0 293 3 is be VBZ cord-291786-66c8xta0 293 4 obvious obvious JJ cord-291786-66c8xta0 293 5 because because IN cord-291786-66c8xta0 293 6 those those DT cord-291786-66c8xta0 293 7 recovered recover VBN cord-291786-66c8xta0 293 8 can can MD cord-291786-66c8xta0 293 9 be be VB cord-291786-66c8xta0 293 10 infected infect VBN cord-291786-66c8xta0 293 11 again again RB cord-291786-66c8xta0 293 12 , , , cord-291786-66c8xta0 293 13 and and CC cord-291786-66c8xta0 293 14 a a DT cord-291786-66c8xta0 293 15 closed closed JJ cord-291786-66c8xta0 293 16 loop loop NN cord-291786-66c8xta0 293 17 system system NN cord-291786-66c8xta0 293 18 is be VBZ cord-291786-66c8xta0 293 19 observed observe VBN cord-291786-66c8xta0 293 20 . . . cord-291786-66c8xta0 294 1 Because because IN cord-291786-66c8xta0 294 2 no no DT cord-291786-66c8xta0 294 3 reports report NNS cord-291786-66c8xta0 294 4 show show VBP cord-291786-66c8xta0 294 5 that that IN cord-291786-66c8xta0 294 6 the the DT cord-291786-66c8xta0 294 7 recovered recover VBN cord-291786-66c8xta0 294 8 class class NN cord-291786-66c8xta0 294 9 is be VBZ cord-291786-66c8xta0 294 10 immune immune JJ cord-291786-66c8xta0 294 11 to to IN cord-291786-66c8xta0 294 12 the the DT cord-291786-66c8xta0 294 13 COVID-19 COVID-19 NNP cord-291786-66c8xta0 294 14 , , , cord-291786-66c8xta0 294 15 we -PRON- PRP cord-291786-66c8xta0 294 16 need need VBP cord-291786-66c8xta0 294 17 to to TO cord-291786-66c8xta0 294 18 be be VB cord-291786-66c8xta0 294 19 aware aware JJ cord-291786-66c8xta0 294 20 of of IN cord-291786-66c8xta0 294 21 those those DT cord-291786-66c8xta0 294 22 recovered recover VBN cord-291786-66c8xta0 294 23 to to TO cord-291786-66c8xta0 294 24 be be VB cord-291786-66c8xta0 294 25 infected infect VBN cord-291786-66c8xta0 294 26 again again RB cord-291786-66c8xta0 294 27 . . . cord-291786-66c8xta0 295 1 Here here RB cord-291786-66c8xta0 295 2 , , , cord-291786-66c8xta0 295 3 the the DT cord-291786-66c8xta0 295 4 evolution evolution NN cord-291786-66c8xta0 295 5 of of IN cord-291786-66c8xta0 295 6 the the DT cord-291786-66c8xta0 295 7 system system NN cord-291786-66c8xta0 295 8 with with IN cord-291786-66c8xta0 295 9 parameters parameter NNS cord-291786-66c8xta0 295 10 of of IN cord-291786-66c8xta0 295 11 set set NN cord-291786-66c8xta0 295 12 E e NN cord-291786-66c8xta0 295 13 is be VBZ cord-291786-66c8xta0 295 14 shown show VBN cord-291786-66c8xta0 295 15 in in IN cord-291786-66c8xta0 295 16 Fig Fig NNP cord-291786-66c8xta0 295 17 . . NNP cord-291786-66c8xta0 295 18 13 13 CD cord-291786-66c8xta0 295 19 , , , cord-291786-66c8xta0 295 20 which which WDT cord-291786-66c8xta0 295 21 shows show VBZ cord-291786-66c8xta0 295 22 how how WRB cord-291786-66c8xta0 295 23 all all PDT cord-291786-66c8xta0 295 24 the the DT cord-291786-66c8xta0 295 25 classes class NNS cord-291786-66c8xta0 295 26 of of IN cord-291786-66c8xta0 295 27 the the DT cord-291786-66c8xta0 295 28 system system NN cord-291786-66c8xta0 295 29 affect affect VBP cord-291786-66c8xta0 295 30 the the DT cord-291786-66c8xta0 295 31 dynamics dynamic NNS cord-291786-66c8xta0 295 32 . . . cord-291786-66c8xta0 296 1 Generally generally RB cord-291786-66c8xta0 296 2 , , , cord-291786-66c8xta0 296 3 all all PDT cord-291786-66c8xta0 296 4 the the DT cord-291786-66c8xta0 296 5 classes class NNS cord-291786-66c8xta0 296 6 except except IN cord-291786-66c8xta0 296 7 the the DT cord-291786-66c8xta0 296 8 recovered recovered JJ cord-291786-66c8xta0 296 9 class class NN cord-291786-66c8xta0 296 10 R r NN cord-291786-66c8xta0 296 11 will will MD cord-291786-66c8xta0 296 12 converge converge VB cord-291786-66c8xta0 296 13 to to IN cord-291786-66c8xta0 296 14 zero zero CD cord-291786-66c8xta0 296 15 . . . cord-291786-66c8xta0 297 1 However however RB cord-291786-66c8xta0 297 2 , , , cord-291786-66c8xta0 297 3 Fig Fig NNP cord-291786-66c8xta0 297 4 . . NNP cord-291786-66c8xta0 297 5 13 13 CD cord-291786-66c8xta0 297 6 is be VBZ cord-291786-66c8xta0 297 7 simulated simulate VBN cord-291786-66c8xta0 297 8 with with IN cord-291786-66c8xta0 297 9 external external JJ cord-291786-66c8xta0 297 10 input input NN cord-291786-66c8xta0 297 11 K K NNP cord-291786-66c8xta0 297 12 ¼ ¼ NNP cord-291786-66c8xta0 297 13 100 100 CD cord-291786-66c8xta0 297 14 and and CC cord-291786-66c8xta0 297 15 a a DT cord-291786-66c8xta0 297 16 ¼ ¼ NNP cord-291786-66c8xta0 297 17 0:5 0:5 CD cord-291786-66c8xta0 297 18 . . . cord-291786-66c8xta0 298 1 Since since IN cord-291786-66c8xta0 298 2 there there EX cord-291786-66c8xta0 298 3 is be VBZ cord-291786-66c8xta0 298 4 no no DT cord-291786-66c8xta0 298 5 evidence evidence NN cord-291786-66c8xta0 298 6 that that IN cord-291786-66c8xta0 298 7 the the DT cord-291786-66c8xta0 298 8 recovered recover VBN cord-291786-66c8xta0 298 9 class class NN cord-291786-66c8xta0 298 10 is be VBZ cord-291786-66c8xta0 298 11 immune immune JJ cord-291786-66c8xta0 298 12 to to IN cord-291786-66c8xta0 298 13 the the DT cord-291786-66c8xta0 298 14 virus virus NN cord-291786-66c8xta0 298 15 , , , cord-291786-66c8xta0 298 16 this this DT cord-291786-66c8xta0 298 17 makes make VBZ cord-291786-66c8xta0 298 18 the the DT cord-291786-66c8xta0 298 19 system system NN cord-291786-66c8xta0 298 20 hard hard JJ cord-291786-66c8xta0 298 21 to to TO cord-291786-66c8xta0 298 22 converge converge VB cord-291786-66c8xta0 298 23 . . . cord-291786-66c8xta0 299 1 Thus thus RB cord-291786-66c8xta0 299 2 , , , cord-291786-66c8xta0 299 3 it -PRON- PRP cord-291786-66c8xta0 299 4 shows show VBZ cord-291786-66c8xta0 299 5 in in IN cord-291786-66c8xta0 299 6 Fig Fig NNP cord-291786-66c8xta0 299 7 . . . cord-291786-66c8xta0 300 1 13 13 CD cord-291786-66c8xta0 300 2 that that IN cord-291786-66c8xta0 300 3 these these DT cord-291786-66c8xta0 300 4 variables variable NNS cord-291786-66c8xta0 300 5 converge converge VBP cord-291786-66c8xta0 300 6 to to IN cord-291786-66c8xta0 300 7 zero zero CD cord-291786-66c8xta0 300 8 slowly slowly RB cord-291786-66c8xta0 300 9 . . . cord-291786-66c8xta0 301 1 In in IN cord-291786-66c8xta0 301 2 the the DT cord-291786-66c8xta0 301 3 early early JJ cord-291786-66c8xta0 301 4 stage stage NN cord-291786-66c8xta0 301 5 of of IN cord-291786-66c8xta0 301 6 the the DT cord-291786-66c8xta0 301 7 COVID-19 covid-19 JJ cord-291786-66c8xta0 301 8 epidemic epidemic NN cord-291786-66c8xta0 301 9 , , , cord-291786-66c8xta0 301 10 the the DT cord-291786-66c8xta0 301 11 epidemic epidemic NN cord-291786-66c8xta0 301 12 situation situation NN cord-291786-66c8xta0 301 13 in in IN cord-291786-66c8xta0 301 14 Hubei Hubei NNP cord-291786-66c8xta0 301 15 province province NN cord-291786-66c8xta0 301 16 presents present VBZ cord-291786-66c8xta0 301 17 an an DT cord-291786-66c8xta0 301 18 uncontrollable uncontrollable JJ cord-291786-66c8xta0 301 19 trend trend NN cord-291786-66c8xta0 301 20 . . . cord-291786-66c8xta0 302 1 However however RB cord-291786-66c8xta0 302 2 , , , cord-291786-66c8xta0 302 3 due due IN cord-291786-66c8xta0 302 4 to to IN cord-291786-66c8xta0 302 5 the the DT cord-291786-66c8xta0 302 6 low low JJ cord-291786-66c8xta0 302 7 population population NN cord-291786-66c8xta0 302 8 contact contact NN cord-291786-66c8xta0 302 9 rate rate NN cord-291786-66c8xta0 302 10 , , , cord-291786-66c8xta0 302 11 high high JJ cord-291786-66c8xta0 302 12 hospitalization hospitalization NN cord-291786-66c8xta0 302 13 rate rate NN cord-291786-66c8xta0 302 14 and and CC cord-291786-66c8xta0 302 15 high high JJ cord-291786-66c8xta0 302 16 cure cure NN cord-291786-66c8xta0 302 17 rate rate NN cord-291786-66c8xta0 302 18 , , , cord-291786-66c8xta0 302 19 the the DT cord-291786-66c8xta0 302 20 epidemic epidemic NN cord-291786-66c8xta0 302 21 was be VBD cord-291786-66c8xta0 302 22 quickly quickly RB cord-291786-66c8xta0 302 23 controlled control VBN cord-291786-66c8xta0 302 24 after after IN cord-291786-66c8xta0 302 25 20 20 CD cord-291786-66c8xta0 302 26 days day NNS cord-291786-66c8xta0 302 27 . . . cord-291786-66c8xta0 303 1 Therefore therefore RB cord-291786-66c8xta0 303 2 , , , cord-291786-66c8xta0 303 3 the the DT cord-291786-66c8xta0 303 4 government government NN cord-291786-66c8xta0 303 5 's 's POS cord-291786-66c8xta0 303 6 attention attention NN cord-291786-66c8xta0 303 7 , , , cord-291786-66c8xta0 303 8 people people NNS cord-291786-66c8xta0 303 9 's 's POS cord-291786-66c8xta0 303 10 self self NN cord-291786-66c8xta0 303 11 - - HYPH cord-291786-66c8xta0 303 12 awareness awareness NN cord-291786-66c8xta0 303 13 and and CC cord-291786-66c8xta0 303 14 sufficient sufficient JJ cord-291786-66c8xta0 303 15 medical medical JJ cord-291786-66c8xta0 303 16 resources resource NNS cord-291786-66c8xta0 303 17 are be VBP cord-291786-66c8xta0 303 18 the the DT cord-291786-66c8xta0 303 19 key key NN cord-291786-66c8xta0 303 20 to to TO cord-291786-66c8xta0 303 21 eliminate eliminate VB cord-291786-66c8xta0 303 22 the the DT cord-291786-66c8xta0 303 23 threat threat NN cord-291786-66c8xta0 303 24 of of IN cord-291786-66c8xta0 303 25 COVID-19 COVID-19 NNP cord-291786-66c8xta0 303 26 . . . cord-291786-66c8xta0 304 1 To to TO cord-291786-66c8xta0 304 2 get get VB cord-291786-66c8xta0 304 3 better well JJR cord-291786-66c8xta0 304 4 estimation estimation NN cord-291786-66c8xta0 304 5 results result NNS cord-291786-66c8xta0 304 6 , , , cord-291786-66c8xta0 304 7 we -PRON- PRP cord-291786-66c8xta0 304 8 need need VBP cord-291786-66c8xta0 304 9 to to TO cord-291786-66c8xta0 304 10 built built VB cord-291786-66c8xta0 304 11 a a DT cord-291786-66c8xta0 304 12 proper proper JJ cord-291786-66c8xta0 304 13 model model NN cord-291786-66c8xta0 304 14 and and CC cord-291786-66c8xta0 304 15 also also RB cord-291786-66c8xta0 304 16 need need VBP cord-291786-66c8xta0 304 17 to to TO cord-291786-66c8xta0 304 18 set set VB cord-291786-66c8xta0 304 19 proper proper JJ cord-291786-66c8xta0 304 20 parameters parameter NNS cord-291786-66c8xta0 304 21 for for IN cord-291786-66c8xta0 304 22 the the DT cord-291786-66c8xta0 304 23 systems system NNS cord-291786-66c8xta0 304 24 . . . cord-291786-66c8xta0 305 1 To to IN cord-291786-66c8xta0 305 2 the the DT cord-291786-66c8xta0 305 3 knowledge knowledge NN cord-291786-66c8xta0 305 4 of of IN cord-291786-66c8xta0 305 5 authors author NNS cord-291786-66c8xta0 305 6 , , , cord-291786-66c8xta0 305 7 the the DT cord-291786-66c8xta0 305 8 parameters parameter NNS cord-291786-66c8xta0 305 9 of of IN cord-291786-66c8xta0 305 10 the the DT cord-291786-66c8xta0 305 11 system system NN cord-291786-66c8xta0 305 12 change change NN cord-291786-66c8xta0 305 13 as as IN cord-291786-66c8xta0 305 14 time time NN cord-291786-66c8xta0 305 15 since since IN cord-291786-66c8xta0 305 16 the the DT cord-291786-66c8xta0 305 17 control control NN cord-291786-66c8xta0 305 18 from from IN cord-291786-66c8xta0 305 19 the the DT cord-291786-66c8xta0 305 20 government government NN cord-291786-66c8xta0 305 21 is be VBZ cord-291786-66c8xta0 305 22 different different JJ cord-291786-66c8xta0 305 23 along along IN cord-291786-66c8xta0 305 24 with with IN cord-291786-66c8xta0 305 25 time time NN cord-291786-66c8xta0 305 26 . . . cord-291786-66c8xta0 306 1 Thus thus RB cord-291786-66c8xta0 306 2 , , , cord-291786-66c8xta0 306 3 we -PRON- PRP cord-291786-66c8xta0 306 4 can can MD cord-291786-66c8xta0 306 5 also also RB cord-291786-66c8xta0 306 6 treat treat VB cord-291786-66c8xta0 306 7 the the DT cord-291786-66c8xta0 306 8 parameters parameter NNS cord-291786-66c8xta0 306 9 as as IN cord-291786-66c8xta0 306 10 functions function NNS cord-291786-66c8xta0 306 11 of of IN cord-291786-66c8xta0 306 12 time time NN cord-291786-66c8xta0 306 13 . . . cord-291786-66c8xta0 307 1 If if IN cord-291786-66c8xta0 307 2 the the DT cord-291786-66c8xta0 307 3 values value NNS cord-291786-66c8xta0 307 4 of of IN cord-291786-66c8xta0 307 5 b b NN cord-291786-66c8xta0 307 6 1 1 CD cord-291786-66c8xta0 307 7 , , , cord-291786-66c8xta0 307 8 b b NN cord-291786-66c8xta0 307 9 2 2 CD cord-291786-66c8xta0 307 10 and and CC cord-291786-66c8xta0 307 11 v v LS cord-291786-66c8xta0 307 12 are be VBP cord-291786-66c8xta0 307 13 large large JJ cord-291786-66c8xta0 307 14 , , , cord-291786-66c8xta0 307 15 the the DT cord-291786-66c8xta0 307 16 system system NN cord-291786-66c8xta0 307 17 can can MD cord-291786-66c8xta0 307 18 even even RB cord-291786-66c8xta0 307 19 become become VB cord-291786-66c8xta0 307 20 chaotic chaotic JJ cord-291786-66c8xta0 307 21 . . . cord-291786-66c8xta0 308 1 When when WRB cord-291786-66c8xta0 308 2 q q NNP cord-291786-66c8xta0 308 3 2 2 CD cord-291786-66c8xta0 308 4 takes take VBZ cord-291786-66c8xta0 308 5 larger large JJR cord-291786-66c8xta0 308 6 values value NNS cord-291786-66c8xta0 308 7 , , , cord-291786-66c8xta0 308 8 it -PRON- PRP cord-291786-66c8xta0 308 9 means mean VBZ cord-291786-66c8xta0 308 10 that that IN cord-291786-66c8xta0 308 11 there there EX cord-291786-66c8xta0 308 12 are be VBP cord-291786-66c8xta0 308 13 more more JJR cord-291786-66c8xta0 308 14 people people NNS cord-291786-66c8xta0 308 15 which which WDT cord-291786-66c8xta0 308 16 have have VBP cord-291786-66c8xta0 308 17 like like IN cord-291786-66c8xta0 308 18 COVID-19-symptoms COVID-19-symptoms NNP cord-291786-66c8xta0 308 19 . . . cord-291786-66c8xta0 309 1 In in IN cord-291786-66c8xta0 309 2 fact fact NN cord-291786-66c8xta0 309 3 , , , cord-291786-66c8xta0 309 4 the the DT cord-291786-66c8xta0 309 5 government government NN cord-291786-66c8xta0 309 6 should should MD cord-291786-66c8xta0 309 7 take take VB cord-291786-66c8xta0 309 8 stronger strong JJR cord-291786-66c8xta0 309 9 and and CC cord-291786-66c8xta0 309 10 harsher harsh JJR cord-291786-66c8xta0 309 11 measures measure NNS cord-291786-66c8xta0 309 12 to to TO cord-291786-66c8xta0 309 13 increase increase VB cord-291786-66c8xta0 309 14 isolation isolation NN cord-291786-66c8xta0 309 15 , , , cord-291786-66c8xta0 309 16 especially especially RB cord-291786-66c8xta0 309 17 there there EX cord-291786-66c8xta0 309 18 are be VBP cord-291786-66c8xta0 309 19 many many JJ cord-291786-66c8xta0 309 20 potential potential JJ cord-291786-66c8xta0 309 21 infections infection NNS cord-291786-66c8xta0 309 22 . . . cord-291786-66c8xta0 310 1 Meanwhile meanwhile RB cord-291786-66c8xta0 310 2 , , , cord-291786-66c8xta0 310 3 if if IN cord-291786-66c8xta0 310 4 the the DT cord-291786-66c8xta0 310 5 quarantine quarantine NN cord-291786-66c8xta0 310 6 is be VBZ cord-291786-66c8xta0 310 7 done do VBN cord-291786-66c8xta0 310 8 well well RB cord-291786-66c8xta0 310 9 , , , cord-291786-66c8xta0 310 10 the the DT cord-291786-66c8xta0 310 11 values value NNS cord-291786-66c8xta0 310 12 of of IN cord-291786-66c8xta0 310 13 b b NN cord-291786-66c8xta0 310 14 1 1 CD cord-291786-66c8xta0 310 15 , , , cord-291786-66c8xta0 310 16 b b NN cord-291786-66c8xta0 310 17 2 2 CD cord-291786-66c8xta0 310 18 and and CC cord-291786-66c8xta0 310 19 v v NN cord-291786-66c8xta0 310 20 will will MD cord-291786-66c8xta0 310 21 be be VB cord-291786-66c8xta0 310 22 also also RB cord-291786-66c8xta0 310 23 much much RB cord-291786-66c8xta0 310 24 smaller small JJR cord-291786-66c8xta0 310 25 ; ; : cord-291786-66c8xta0 310 26 thus thus RB cord-291786-66c8xta0 310 27 , , , cord-291786-66c8xta0 310 28 it -PRON- PRP cord-291786-66c8xta0 310 29 is be VBZ cord-291786-66c8xta0 310 30 helpful helpful JJ cord-291786-66c8xta0 310 31 to to TO cord-291786-66c8xta0 310 32 control control VB cord-291786-66c8xta0 310 33 the the DT cord-291786-66c8xta0 310 34 spread spread NN cord-291786-66c8xta0 310 35 of of IN cord-291786-66c8xta0 310 36 the the DT cord-291786-66c8xta0 310 37 epidemic epidemic NN cord-291786-66c8xta0 310 38 disease disease NN cord-291786-66c8xta0 310 39 . . . cord-291786-66c8xta0 311 1 In in IN cord-291786-66c8xta0 311 2 this this DT cord-291786-66c8xta0 311 3 paper paper NN cord-291786-66c8xta0 311 4 , , , cord-291786-66c8xta0 311 5 a a DT cord-291786-66c8xta0 311 6 SEIR SEIR NNP cord-291786-66c8xta0 311 7 model model NN cord-291786-66c8xta0 311 8 is be VBZ cord-291786-66c8xta0 311 9 proposed propose VBN cord-291786-66c8xta0 311 10 for for IN cord-291786-66c8xta0 311 11 the the DT cord-291786-66c8xta0 311 12 COVID-19 COVID-19 NNP cord-291786-66c8xta0 311 13 . . . cord-291786-66c8xta0 312 1 Parameters parameter NNS cord-291786-66c8xta0 312 2 of of IN cord-291786-66c8xta0 312 3 the the DT cord-291786-66c8xta0 312 4 system system NN cord-291786-66c8xta0 312 5 are be VBP cord-291786-66c8xta0 312 6 estimated estimate VBN cord-291786-66c8xta0 312 7 by by IN cord-291786-66c8xta0 312 8 the the DT cord-291786-66c8xta0 312 9 PSO PSO NNP cord-291786-66c8xta0 312 10 algorithm algorithm NN cord-291786-66c8xta0 312 11 , , , cord-291786-66c8xta0 312 12 and and CC cord-291786-66c8xta0 312 13 dynamics dynamic NNS cord-291786-66c8xta0 312 14 of of IN cord-291786-66c8xta0 312 15 the the DT cord-291786-66c8xta0 312 16 system system NN cord-291786-66c8xta0 312 17 is be VBZ cord-291786-66c8xta0 312 18 investigated investigate VBN cord-291786-66c8xta0 312 19 . . . cord-291786-66c8xta0 313 1 Finally finally RB cord-291786-66c8xta0 313 2 , , , cord-291786-66c8xta0 313 3 how how WRB cord-291786-66c8xta0 313 4 the the DT cord-291786-66c8xta0 313 5 parameters parameter NNS cord-291786-66c8xta0 313 6 affect affect VBP cord-291786-66c8xta0 313 7 the the DT cord-291786-66c8xta0 313 8 dynamics dynamic NNS cord-291786-66c8xta0 313 9 of of IN cord-291786-66c8xta0 313 10 the the DT cord-291786-66c8xta0 313 11 system system NN cord-291786-66c8xta0 313 12 is be VBZ cord-291786-66c8xta0 313 13 discussed discuss VBN cord-291786-66c8xta0 313 14 and and CC cord-291786-66c8xta0 313 15 the the DT cord-291786-66c8xta0 313 16 control control NN cord-291786-66c8xta0 313 17 strategies strategy NNS cord-291786-66c8xta0 313 18 are be VBP cord-291786-66c8xta0 313 19 presented present VBN cord-291786-66c8xta0 313 20 . . . cord-291786-66c8xta0 314 1 The the DT cord-291786-66c8xta0 314 2 conclusions conclusion NNS cord-291786-66c8xta0 314 3 of of IN cord-291786-66c8xta0 314 4 this this DT cord-291786-66c8xta0 314 5 paper paper NN cord-291786-66c8xta0 314 6 are be VBP cord-291786-66c8xta0 314 7 given give VBN cord-291786-66c8xta0 314 8 as as IN cord-291786-66c8xta0 314 9 follows follow VBZ cord-291786-66c8xta0 314 10 . . . cord-291786-66c8xta0 315 1 ( ( -LRB- cord-291786-66c8xta0 315 2 1 1 CD cord-291786-66c8xta0 315 3 ) ) -RRB- cord-291786-66c8xta0 316 1 The the DT cord-291786-66c8xta0 316 2 proposed propose VBN cord-291786-66c8xta0 316 3 model model NN cord-291786-66c8xta0 316 4 has have VBZ cord-291786-66c8xta0 316 5 considered consider VBN cord-291786-66c8xta0 316 6 the the DT cord-291786-66c8xta0 316 7 quarantine quarantine NN cord-291786-66c8xta0 316 8 and and CC cord-291786-66c8xta0 316 9 treatment treatment NN cord-291786-66c8xta0 316 10 , , , cord-291786-66c8xta0 316 11 so so CC cord-291786-66c8xta0 316 12 it -PRON- PRP cord-291786-66c8xta0 316 13 is be VBZ cord-291786-66c8xta0 316 14 more more RBR cord-291786-66c8xta0 316 15 suitable suitable JJ cord-291786-66c8xta0 316 16 for for IN cord-291786-66c8xta0 316 17 the the DT cord-291786-66c8xta0 316 18 dynamics dynamic NNS cord-291786-66c8xta0 316 19 of of IN cord-291786-66c8xta0 316 20 the the DT cord-291786-66c8xta0 316 21 epidemic epidemic NN cord-291786-66c8xta0 316 22 of of IN cord-291786-66c8xta0 316 23 COVID-19 COVID-19 NNP cord-291786-66c8xta0 316 24 . . . cord-291786-66c8xta0 317 1 ( ( -LRB- cord-291786-66c8xta0 317 2 2 2 LS cord-291786-66c8xta0 317 3 ) ) -RRB- cord-291786-66c8xta0 318 1 The the DT cord-291786-66c8xta0 318 2 PSO PSO NNP cord-291786-66c8xta0 318 3 algorithm algorithm NN cord-291786-66c8xta0 318 4 provides provide VBZ cord-291786-66c8xta0 318 5 a a DT cord-291786-66c8xta0 318 6 good good JJ cord-291786-66c8xta0 318 7 way way NN cord-291786-66c8xta0 318 8 for for IN cord-291786-66c8xta0 318 9 parameter parameter NN cord-291786-66c8xta0 318 10 estimation estimation NN cord-291786-66c8xta0 318 11 of of IN cord-291786-66c8xta0 318 12 the the DT cord-291786-66c8xta0 318 13 SEIR SEIR NNP cord-291786-66c8xta0 318 14 model model NN cord-291786-66c8xta0 318 15 . . . cord-291786-66c8xta0 319 1 And and CC cord-291786-66c8xta0 319 2 according accord VBG cord-291786-66c8xta0 319 3 to to IN cord-291786-66c8xta0 319 4 the the DT cord-291786-66c8xta0 319 5 application application NN cord-291786-66c8xta0 319 6 to to IN cord-291786-66c8xta0 319 7 the the DT cord-291786-66c8xta0 319 8 data datum NNS cord-291786-66c8xta0 319 9 of of IN cord-291786-66c8xta0 319 10 Hubei Hubei NNP cord-291786-66c8xta0 319 11 province province NN cord-291786-66c8xta0 319 12 , , , cord-291786-66c8xta0 319 13 the the DT cord-291786-66c8xta0 319 14 accuracy accuracy NN cord-291786-66c8xta0 319 15 is be VBZ cord-291786-66c8xta0 319 16 acceptable acceptable JJ cord-291786-66c8xta0 319 17 . . . cord-291786-66c8xta0 320 1 The the DT cord-291786-66c8xta0 320 2 main main JJ cord-291786-66c8xta0 320 3 trends trend NNS cord-291786-66c8xta0 320 4 of of IN cord-291786-66c8xta0 320 5 the the DT cord-291786-66c8xta0 320 6 epidemic epidemic NN cord-291786-66c8xta0 320 7 evolution evolution NN cord-291786-66c8xta0 320 8 are be VBP cord-291786-66c8xta0 320 9 illustrated illustrate VBN cord-291786-66c8xta0 320 10 . . . cord-291786-66c8xta0 321 1 ( ( -LRB- cord-291786-66c8xta0 321 2 3 3 LS cord-291786-66c8xta0 321 3 ) ) -RRB- cord-291786-66c8xta0 322 1 Nonlinear nonlinear JJ cord-291786-66c8xta0 322 2 dynamics dynamic NNS cord-291786-66c8xta0 322 3 of of IN cord-291786-66c8xta0 322 4 the the DT cord-291786-66c8xta0 322 5 system system NN cord-291786-66c8xta0 322 6 is be VBZ cord-291786-66c8xta0 322 7 investigated investigate VBN cord-291786-66c8xta0 322 8 by by IN cord-291786-66c8xta0 322 9 means mean NNS cord-291786-66c8xta0 322 10 of of IN cord-291786-66c8xta0 322 11 bifurcation bifurcation NN cord-291786-66c8xta0 322 12 diagram diagram NN cord-291786-66c8xta0 322 13 , , , cord-291786-66c8xta0 322 14 MSE MSE NNP cord-291786-66c8xta0 322 15 algorithm algorithm NN cord-291786-66c8xta0 322 16 and and CC cord-291786-66c8xta0 322 17 0 0 CD cord-291786-66c8xta0 322 18 - - SYM cord-291786-66c8xta0 322 19 1 1 CD cord-291786-66c8xta0 322 20 test test NN cord-291786-66c8xta0 322 21 algorithm algorithm NN cord-291786-66c8xta0 322 22 . . . cord-291786-66c8xta0 323 1 It -PRON- PRP cord-291786-66c8xta0 323 2 shows show VBZ cord-291786-66c8xta0 323 3 that that IN cord-291786-66c8xta0 323 4 , , , cord-291786-66c8xta0 323 5 for for IN cord-291786-66c8xta0 323 6 the the DT cord-291786-66c8xta0 323 7 given give VBN cord-291786-66c8xta0 323 8 parameters parameter NNS cord-291786-66c8xta0 323 9 , , , cord-291786-66c8xta0 323 10 if if IN cord-291786-66c8xta0 323 11 there there EX cord-291786-66c8xta0 323 12 exists exist VBZ cord-291786-66c8xta0 323 13 seasonality seasonality NN cord-291786-66c8xta0 323 14 and and CC cord-291786-66c8xta0 323 15 stochastic stochastic JJ cord-291786-66c8xta0 323 16 infection infection NN cord-291786-66c8xta0 323 17 , , , cord-291786-66c8xta0 323 18 the the DT cord-291786-66c8xta0 323 19 system system NN cord-291786-66c8xta0 323 20 can can MD cord-291786-66c8xta0 323 21 generate generate VB cord-291786-66c8xta0 323 22 chaos chaos NN cord-291786-66c8xta0 323 23 . . . cord-291786-66c8xta0 324 1 ( ( -LRB- cord-291786-66c8xta0 324 2 4 4 LS cord-291786-66c8xta0 324 3 ) ) -RRB- cord-291786-66c8xta0 325 1 Some some DT cord-291786-66c8xta0 325 2 control control NN cord-291786-66c8xta0 325 3 suggestions suggestion NNS cord-291786-66c8xta0 325 4 are be VBP cord-291786-66c8xta0 325 5 suggested suggest VBN cord-291786-66c8xta0 325 6 based base VBN cord-291786-66c8xta0 325 7 on on IN cord-291786-66c8xta0 325 8 the the DT cord-291786-66c8xta0 325 9 proposed propose VBN cord-291786-66c8xta0 325 10 model model NN cord-291786-66c8xta0 325 11 . . . cord-291786-66c8xta0 326 1 Meanwhile meanwhile RB cord-291786-66c8xta0 326 2 , , , cord-291786-66c8xta0 326 3 we -PRON- PRP cord-291786-66c8xta0 326 4 found find VBD cord-291786-66c8xta0 326 5 that that IN cord-291786-66c8xta0 326 6 the the DT cord-291786-66c8xta0 326 7 dynamics dynamic NNS cord-291786-66c8xta0 326 8 of of IN cord-291786-66c8xta0 326 9 the the DT cord-291786-66c8xta0 326 10 system system NN cord-291786-66c8xta0 326 11 is be VBZ cord-291786-66c8xta0 326 12 different different JJ cord-291786-66c8xta0 326 13 with with IN cord-291786-66c8xta0 326 14 different different JJ cord-291786-66c8xta0 326 15 sets set NNS cord-291786-66c8xta0 326 16 of of IN cord-291786-66c8xta0 326 17 parameters parameter NNS cord-291786-66c8xta0 326 18 . . . cord-291786-66c8xta0 327 1 Emerging emerge VBG cord-291786-66c8xta0 327 2 coronaviruses coronaviruse NNS cord-291786-66c8xta0 327 3 : : : cord-291786-66c8xta0 327 4 genome genome NN cord-291786-66c8xta0 327 5 structure structure NN cord-291786-66c8xta0 327 6 , , , cord-291786-66c8xta0 327 7 replication replication NN cord-291786-66c8xta0 327 8 , , , cord-291786-66c8xta0 327 9 and and CC cord-291786-66c8xta0 327 10 pathogenesis pathogenesis NN cord-291786-66c8xta0 327 11 Coronaviruses coronaviruse NNS cord-291786-66c8xta0 327 12 : : : cord-291786-66c8xta0 328 1 structure structure NN cord-291786-66c8xta0 328 2 and and CC cord-291786-66c8xta0 328 3 genome genome NN cord-291786-66c8xta0 328 4 expression expression NN cord-291786-66c8xta0 329 1 A a DT cord-291786-66c8xta0 329 2 novel novel JJ cord-291786-66c8xta0 329 3 coronavirus coronavirus NN cord-291786-66c8xta0 329 4 from from IN cord-291786-66c8xta0 329 5 patients patient NNS cord-291786-66c8xta0 329 6 with with IN cord-291786-66c8xta0 329 7 pneumonia pneumonia NN cord-291786-66c8xta0 329 8 in in IN cord-291786-66c8xta0 329 9 china china NNP cord-291786-66c8xta0 329 10 2019-ncov 2019-ncov CD cord-291786-66c8xta0 329 11 , , , cord-291786-66c8xta0 329 12 fake fake JJ cord-291786-66c8xta0 329 13 news news NN cord-291786-66c8xta0 329 14 , , , cord-291786-66c8xta0 329 15 and and CC cord-291786-66c8xta0 329 16 racism racism NN cord-291786-66c8xta0 329 17 2019-ncov 2019-ncov CD cord-291786-66c8xta0 329 18 in in IN cord-291786-66c8xta0 329 19 context context NN cord-291786-66c8xta0 329 20 : : : cord-291786-66c8xta0 329 21 lessons lesson NNS cord-291786-66c8xta0 329 22 learned learn VBN cord-291786-66c8xta0 329 23 ? ? . cord-291786-66c8xta0 330 1 Genomic genomic JJ cord-291786-66c8xta0 330 2 variance variance NN cord-291786-66c8xta0 330 3 of of IN cord-291786-66c8xta0 330 4 the the DT cord-291786-66c8xta0 330 5 2019-ncov 2019-ncov CD cord-291786-66c8xta0 330 6 coronavirus coronavirus NN cord-291786-66c8xta0 330 7 Cross Cross NNP cord-291786-66c8xta0 330 8 - - HYPH cord-291786-66c8xta0 330 9 species species JJ cord-291786-66c8xta0 330 10 transmission transmission NN cord-291786-66c8xta0 330 11 of of IN cord-291786-66c8xta0 330 12 the the DT cord-291786-66c8xta0 330 13 newly newly RB cord-291786-66c8xta0 330 14 identified identify VBN cord-291786-66c8xta0 330 15 coronavirus coronavirus NN cord-291786-66c8xta0 330 16 2019-ncov 2019-ncov CD cord-291786-66c8xta0 330 17 Analysis Analysis NNP cord-291786-66c8xta0 330 18 and and CC cord-291786-66c8xta0 330 19 forecast forecast NN cord-291786-66c8xta0 330 20 of of IN cord-291786-66c8xta0 330 21 covid-19 covid-19 NNP cord-291786-66c8xta0 330 22 spreading spreading NN cord-291786-66c8xta0 330 23 in in IN cord-291786-66c8xta0 330 24 china china NNP cord-291786-66c8xta0 330 25 , , , cord-291786-66c8xta0 330 26 italy italy NNP cord-291786-66c8xta0 330 27 and and CC cord-291786-66c8xta0 330 28 france france NNP cord-291786-66c8xta0 330 29 Networks Networks NNP cord-291786-66c8xta0 330 30 and and CC cord-291786-66c8xta0 330 31 epidemic epidemic NN cord-291786-66c8xta0 330 32 models model NNS cord-291786-66c8xta0 330 33 Network network NN cord-291786-66c8xta0 330 34 - - HYPH cord-291786-66c8xta0 330 35 based base VBN cord-291786-66c8xta0 330 36 prediction prediction NN cord-291786-66c8xta0 330 37 of of IN cord-291786-66c8xta0 330 38 the the DT cord-291786-66c8xta0 330 39 2019-ncov 2019-ncov CD cord-291786-66c8xta0 330 40 epidemic epidemic NN cord-291786-66c8xta0 330 41 outbreak outbreak NN cord-291786-66c8xta0 330 42 in in IN cord-291786-66c8xta0 330 43 the the DT cord-291786-66c8xta0 330 44 chinese chinese JJ cord-291786-66c8xta0 330 45 province province NN cord-291786-66c8xta0 331 1 hubei hubei NNP cord-291786-66c8xta0 331 2 A A NNP cord-291786-66c8xta0 331 3 simple simple JJ cord-291786-66c8xta0 331 4 sis sis NN cord-291786-66c8xta0 331 5 epidemic epidemic NN cord-291786-66c8xta0 331 6 model model NN cord-291786-66c8xta0 331 7 with with IN cord-291786-66c8xta0 331 8 a a DT cord-291786-66c8xta0 331 9 backward backward JJ cord-291786-66c8xta0 331 10 bifurcation bifurcation NN cord-291786-66c8xta0 331 11 A a DT cord-291786-66c8xta0 331 12 networked networked JJ cord-291786-66c8xta0 331 13 sis sis NN cord-291786-66c8xta0 331 14 disease disease NN cord-291786-66c8xta0 331 15 dynamics dynamic NNS cord-291786-66c8xta0 331 16 model model VBP cord-291786-66c8xta0 331 17 with with IN cord-291786-66c8xta0 331 18 a a DT cord-291786-66c8xta0 331 19 waterborne waterborne JJ cord-291786-66c8xta0 331 20 pathogen pathogen NN cord-291786-66c8xta0 331 21 A a DT cord-291786-66c8xta0 331 22 stochastic stochastic JJ cord-291786-66c8xta0 331 23 sirs sir NNS cord-291786-66c8xta0 331 24 epidemic epidemic NN cord-291786-66c8xta0 331 25 model model NN cord-291786-66c8xta0 331 26 with with IN cord-291786-66c8xta0 331 27 nonlinear nonlinear JJ cord-291786-66c8xta0 331 28 incidence incidence NN cord-291786-66c8xta0 331 29 rate rate NN cord-291786-66c8xta0 331 30 A a DT cord-291786-66c8xta0 331 31 simple simple JJ cord-291786-66c8xta0 331 32 seir seir FW cord-291786-66c8xta0 331 33 mathematical mathematical JJ cord-291786-66c8xta0 331 34 model model NN cord-291786-66c8xta0 331 35 of of IN cord-291786-66c8xta0 331 36 malaria malaria NNP cord-291786-66c8xta0 331 37 transmission transmission NN cord-291786-66c8xta0 331 38 Analysis Analysis NNP cord-291786-66c8xta0 331 39 of of IN cord-291786-66c8xta0 331 40 a a DT cord-291786-66c8xta0 331 41 fractional fractional JJ cord-291786-66c8xta0 331 42 seir seir NN cord-291786-66c8xta0 331 43 model model NN cord-291786-66c8xta0 331 44 with with IN cord-291786-66c8xta0 331 45 treatment treatment NN cord-291786-66c8xta0 331 46 A a DT cord-291786-66c8xta0 331 47 time time NN cord-291786-66c8xta0 331 48 - - HYPH cord-291786-66c8xta0 331 49 dependent dependent JJ cord-291786-66c8xta0 331 50 sir sir NN cord-291786-66c8xta0 331 51 model model NN cord-291786-66c8xta0 331 52 for for IN cord-291786-66c8xta0 331 53 COVID-19 COVID-19 NNP cord-291786-66c8xta0 331 54 Estimation Estimation NNP cord-291786-66c8xta0 331 55 of of IN cord-291786-66c8xta0 331 56 the the DT cord-291786-66c8xta0 331 57 transmission transmission NN cord-291786-66c8xta0 331 58 risk risk NN cord-291786-66c8xta0 331 59 of of IN cord-291786-66c8xta0 331 60 the the DT cord-291786-66c8xta0 331 61 2019-ncov 2019-ncov CD cord-291786-66c8xta0 331 62 and and CC cord-291786-66c8xta0 331 63 its -PRON- PRP$ cord-291786-66c8xta0 331 64 implication implication NN cord-291786-66c8xta0 331 65 for for IN cord-291786-66c8xta0 331 66 public public JJ cord-291786-66c8xta0 331 67 health health NN cord-291786-66c8xta0 331 68 interventions intervention NNS cord-291786-66c8xta0 331 69 Nowcasting Nowcasting NNP cord-291786-66c8xta0 331 70 and and CC cord-291786-66c8xta0 331 71 forecasting forecast VBG cord-291786-66c8xta0 331 72 the the DT cord-291786-66c8xta0 331 73 potential potential JJ cord-291786-66c8xta0 331 74 domestic domestic JJ cord-291786-66c8xta0 331 75 and and CC cord-291786-66c8xta0 331 76 international international JJ cord-291786-66c8xta0 331 77 spread spread NN cord-291786-66c8xta0 331 78 of of IN cord-291786-66c8xta0 331 79 the the DT cord-291786-66c8xta0 331 80 2019-ncov 2019-ncov CD cord-291786-66c8xta0 331 81 outbreak outbreak NN cord-291786-66c8xta0 331 82 originating originate VBG cord-291786-66c8xta0 331 83 in in IN cord-291786-66c8xta0 331 84 wuhan wuhan NNP cord-291786-66c8xta0 331 85 , , , cord-291786-66c8xta0 331 86 china china NNP cord-291786-66c8xta0 331 87 : : : cord-291786-66c8xta0 331 88 a a DT cord-291786-66c8xta0 331 89 modelling modelling NN cord-291786-66c8xta0 331 90 study study NN cord-291786-66c8xta0 331 91 Phase phase NN cord-291786-66c8xta0 331 92 - - HYPH cord-291786-66c8xta0 331 93 adjusted adjust VBN cord-291786-66c8xta0 331 94 estimation estimation NN cord-291786-66c8xta0 331 95 of of IN cord-291786-66c8xta0 331 96 the the DT cord-291786-66c8xta0 331 97 number number NN cord-291786-66c8xta0 331 98 of of IN cord-291786-66c8xta0 331 99 coronavirus coronavirus NN cord-291786-66c8xta0 331 100 disease disease NN cord-291786-66c8xta0 331 101 2019 2019 CD cord-291786-66c8xta0 331 102 cases case NNS cord-291786-66c8xta0 331 103 in in IN cord-291786-66c8xta0 331 104 wuhan wuhan NNP cord-291786-66c8xta0 331 105 , , , cord-291786-66c8xta0 331 106 china china NNP cord-291786-66c8xta0 331 107 Chaos Chaos NNP cord-291786-66c8xta0 331 108 analysis analysis NN cord-291786-66c8xta0 331 109 in in IN cord-291786-66c8xta0 331 110 attitude attitude NN cord-291786-66c8xta0 331 111 dynamics dynamic NNS cord-291786-66c8xta0 331 112 of of IN cord-291786-66c8xta0 331 113 a a DT cord-291786-66c8xta0 331 114 flexible flexible JJ cord-291786-66c8xta0 331 115 satellite satellite NN cord-291786-66c8xta0 331 116 Chaotic chaotic JJ cord-291786-66c8xta0 331 117 vibrations vibration NNS cord-291786-66c8xta0 331 118 of of IN cord-291786-66c8xta0 331 119 flexible flexible JJ cord-291786-66c8xta0 331 120 shallow shallow NN cord-291786-66c8xta0 331 121 axially axially RB cord-291786-66c8xta0 331 122 symmetric symmetric JJ cord-291786-66c8xta0 331 123 shells shell NNS cord-291786-66c8xta0 331 124 Theory theory NN cord-291786-66c8xta0 331 125 of of IN cord-291786-66c8xta0 331 126 hybrid hybrid JJ cord-291786-66c8xta0 331 127 dynamical dynamical JJ cord-291786-66c8xta0 331 128 systems system NNS cord-291786-66c8xta0 331 129 and and CC cord-291786-66c8xta0 331 130 its -PRON- PRP$ cord-291786-66c8xta0 331 131 applications application NNS cord-291786-66c8xta0 331 132 to to IN cord-291786-66c8xta0 331 133 biological biological JJ cord-291786-66c8xta0 331 134 and and CC cord-291786-66c8xta0 331 135 medical medical JJ cord-291786-66c8xta0 331 136 systems system NNS cord-291786-66c8xta0 331 137 Complexity complexity NN cord-291786-66c8xta0 331 138 , , , cord-291786-66c8xta0 331 139 analysis analysis NN cord-291786-66c8xta0 331 140 and and CC cord-291786-66c8xta0 331 141 control control NN cord-291786-66c8xta0 331 142 of of IN cord-291786-66c8xta0 331 143 singular singular JJ cord-291786-66c8xta0 331 144 biological biological JJ cord-291786-66c8xta0 331 145 systems system NNS cord-291786-66c8xta0 331 146 Complexity complexity NN cord-291786-66c8xta0 331 147 in in IN cord-291786-66c8xta0 331 148 the the DT cord-291786-66c8xta0 331 149 muscular muscular JJ cord-291786-66c8xta0 331 150 blood blood NN cord-291786-66c8xta0 331 151 vessel vessel NN cord-291786-66c8xta0 331 152 model model NN cord-291786-66c8xta0 331 153 with with IN cord-291786-66c8xta0 331 154 variable variable JJ cord-291786-66c8xta0 331 155 fractional fractional JJ cord-291786-66c8xta0 331 156 derivative derivative JJ cord-291786-66c8xta0 331 157 and and CC cord-291786-66c8xta0 331 158 external external JJ cord-291786-66c8xta0 331 159 disturbances disturbance NNS cord-291786-66c8xta0 331 160 Bifurcation Bifurcation NNP cord-291786-66c8xta0 331 161 analysis analysis NN cord-291786-66c8xta0 331 162 of of IN cord-291786-66c8xta0 331 163 periodic periodic JJ cord-291786-66c8xta0 331 164 seir seir NN cord-291786-66c8xta0 331 165 and and CC cord-291786-66c8xta0 331 166 sir sir NN cord-291786-66c8xta0 331 167 epidemic epidemic NN cord-291786-66c8xta0 331 168 models model NNS cord-291786-66c8xta0 331 169 Epidemic epidemic NN cord-291786-66c8xta0 331 170 outbreaks outbreak NNS cord-291786-66c8xta0 331 171 and and CC cord-291786-66c8xta0 331 172 its -PRON- PRP$ cord-291786-66c8xta0 331 173 control control NN cord-291786-66c8xta0 331 174 using use VBG cord-291786-66c8xta0 331 175 a a DT cord-291786-66c8xta0 331 176 fractional fractional JJ cord-291786-66c8xta0 331 177 order order NN cord-291786-66c8xta0 331 178 model model NN cord-291786-66c8xta0 331 179 with with IN cord-291786-66c8xta0 331 180 seasonality seasonality NN cord-291786-66c8xta0 331 181 and and CC cord-291786-66c8xta0 331 182 stochastic stochastic JJ cord-291786-66c8xta0 331 183 infection infection NN cord-291786-66c8xta0 331 184 Particle particle NN cord-291786-66c8xta0 331 185 swarm swarm NN cord-291786-66c8xta0 331 186 optimization optimization NN cord-291786-66c8xta0 331 187 algorithm algorithm NN cord-291786-66c8xta0 331 188 : : : cord-291786-66c8xta0 331 189 an an DT cord-291786-66c8xta0 331 190 overview overview NN cord-291786-66c8xta0 331 191 Parameter parameter NN cord-291786-66c8xta0 331 192 identification identification NN cord-291786-66c8xta0 331 193 of of IN cord-291786-66c8xta0 331 194 fractional fractional JJ cord-291786-66c8xta0 331 195 - - HYPH cord-291786-66c8xta0 331 196 order order NN cord-291786-66c8xta0 331 197 discrete discrete JJ cord-291786-66c8xta0 331 198 chaotic chaotic JJ cord-291786-66c8xta0 331 199 systems system NNS cord-291786-66c8xta0 331 200 Epidemiology epidemiology NN cord-291786-66c8xta0 331 201 of of IN cord-291786-66c8xta0 331 202 dengue dengue NN cord-291786-66c8xta0 331 203 fever fever NN cord-291786-66c8xta0 331 204 : : : cord-291786-66c8xta0 331 205 A a DT cord-291786-66c8xta0 331 206 model model NN cord-291786-66c8xta0 331 207 with with IN cord-291786-66c8xta0 332 1 temporary temporary JJ cord-291786-66c8xta0 332 2 cross cross JJ cord-291786-66c8xta0 332 3 - - NN cord-291786-66c8xta0 332 4 immunity immunity JJ cord-291786-66c8xta0 332 5 and and CC cord-291786-66c8xta0 332 6 possible possible JJ cord-291786-66c8xta0 332 7 secondary secondary JJ cord-291786-66c8xta0 332 8 infection infection NN cord-291786-66c8xta0 332 9 shows show VBZ cord-291786-66c8xta0 332 10 bifurcations bifurcation NNS cord-291786-66c8xta0 332 11 and and CC cord-291786-66c8xta0 332 12 chaotic chaotic JJ cord-291786-66c8xta0 332 13 behaviour behaviour NN cord-291786-66c8xta0 332 14 in in IN cord-291786-66c8xta0 332 15 wide wide JJ cord-291786-66c8xta0 332 16 parameter parameter NN cord-291786-66c8xta0 332 17 regions region NNS cord-291786-66c8xta0 332 18 The the DT cord-291786-66c8xta0 332 19 0 0 CD cord-291786-66c8xta0 332 20 - - SYM cord-291786-66c8xta0 332 21 1 1 CD cord-291786-66c8xta0 332 22 test test NN cord-291786-66c8xta0 332 23 algorithm algorithm NN cord-291786-66c8xta0 332 24 for for IN cord-291786-66c8xta0 332 25 chaos chaos NN cord-291786-66c8xta0 332 26 and and CC cord-291786-66c8xta0 332 27 its -PRON- PRP$ cord-291786-66c8xta0 332 28 applications application NNS cord-291786-66c8xta0 332 29 Complexity Complexity NNP cord-291786-66c8xta0 332 30 analysis analysis NN cord-291786-66c8xta0 332 31 and and CC cord-291786-66c8xta0 332 32 dsp dsp NN cord-291786-66c8xta0 332 33 implementation implementation NN cord-291786-66c8xta0 332 34 of of IN cord-291786-66c8xta0 332 35 the the DT cord-291786-66c8xta0 332 36 fractional fractional JJ cord-291786-66c8xta0 332 37 - - HYPH cord-291786-66c8xta0 332 38 order order NN cord-291786-66c8xta0 332 39 lorenz lorenz NNP cord-291786-66c8xta0 332 40 hyperchaotic hyperchaotic NNP cord-291786-66c8xta0 332 41 system system NN cord-291786-66c8xta0 332 42 Multiscale Multiscale NNP cord-291786-66c8xta0 332 43 entropy entropy NN cord-291786-66c8xta0 332 44 analysis analysis NN cord-291786-66c8xta0 332 45 of of IN cord-291786-66c8xta0 332 46 complex complex JJ cord-291786-66c8xta0 332 47 physiologic physiologic JJ cord-291786-66c8xta0 332 48 time time NN cord-291786-66c8xta0 332 49 series series NNP cord-291786-66c8xta0 332 50 Publisher Publisher NNP cord-291786-66c8xta0 332 51 's 's POS cord-291786-66c8xta0 332 52 Note Note NNP cord-291786-66c8xta0 332 53 Springer Springer NNP cord-291786-66c8xta0 332 54 Nature Nature NNP cord-291786-66c8xta0 332 55 remains remain VBZ cord-291786-66c8xta0 332 56 neutral neutral JJ cord-291786-66c8xta0 332 57 with with IN cord-291786-66c8xta0 332 58 regard regard NN cord-291786-66c8xta0 332 59 to to IN cord-291786-66c8xta0 332 60 jurisdictional jurisdictional JJ cord-291786-66c8xta0 332 61 claims claim NNS cord-291786-66c8xta0 332 62 in in IN cord-291786-66c8xta0 332 63 published publish VBN cord-291786-66c8xta0 332 64 maps map NNS cord-291786-66c8xta0 332 65 and and CC cord-291786-66c8xta0 332 66 institutional institutional JJ cord-291786-66c8xta0 332 67 affiliations affiliation NNS cord-291786-66c8xta0 332 68 Conflict conflict NN cord-291786-66c8xta0 332 69 of of IN cord-291786-66c8xta0 332 70 interest interest NN cord-291786-66c8xta0 333 1 The the DT cord-291786-66c8xta0 333 2 authors author NNS cord-291786-66c8xta0 333 3 declare declare VBP cord-291786-66c8xta0 333 4 that that IN cord-291786-66c8xta0 333 5 they -PRON- PRP cord-291786-66c8xta0 333 6 have have VBP cord-291786-66c8xta0 333 7 no no DT cord-291786-66c8xta0 333 8 conflict conflict NN cord-291786-66c8xta0 333 9 of of IN cord-291786-66c8xta0 333 10 interest interest NN cord-291786-66c8xta0 333 11 . . .