id sid tid token lemma pos cord-259534-hpyf0uj6 1 1 key key NN cord-259534-hpyf0uj6 1 2 : : : cord-259534-hpyf0uj6 2 1 cord-259534-hpyf0uj6 cord-259534-hpyf0uj6 . cord-259534-hpyf0uj6 3 1 authors author NNS cord-259534-hpyf0uj6 3 2 : : : cord-259534-hpyf0uj6 3 3 Panda Panda NNP cord-259534-hpyf0uj6 3 4 , , , cord-259534-hpyf0uj6 3 5 Sumati Sumati NNP cord-259534-hpyf0uj6 3 6 Kumari Kumari NNP cord-259534-hpyf0uj6 3 7 title title NN cord-259534-hpyf0uj6 3 8 : : : cord-259534-hpyf0uj6 4 1 Applying apply VBG cord-259534-hpyf0uj6 4 2 fixed fix VBN cord-259534-hpyf0uj6 4 3 point point NN cord-259534-hpyf0uj6 4 4 methods method NNS cord-259534-hpyf0uj6 4 5 and and CC cord-259534-hpyf0uj6 4 6 fractional fractional JJ cord-259534-hpyf0uj6 4 7 operators operator NNS cord-259534-hpyf0uj6 4 8 in in IN cord-259534-hpyf0uj6 4 9 the the DT cord-259534-hpyf0uj6 4 10 modelling modelling NN cord-259534-hpyf0uj6 4 11 of of IN cord-259534-hpyf0uj6 4 12 novel novel JJ cord-259534-hpyf0uj6 4 13 coronavirus coronavirus NN cord-259534-hpyf0uj6 4 14 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 4 15 / / SYM cord-259534-hpyf0uj6 4 16 SARS SARS NNP cord-259534-hpyf0uj6 4 17 - - HYPH cord-259534-hpyf0uj6 4 18 CoV-2 CoV-2 NNP cord-259534-hpyf0uj6 4 19 date date NN cord-259534-hpyf0uj6 4 20 : : : cord-259534-hpyf0uj6 4 21 2020 2020 CD cord-259534-hpyf0uj6 4 22 - - SYM cord-259534-hpyf0uj6 4 23 10 10 CD cord-259534-hpyf0uj6 4 24 - - HYPH cord-259534-hpyf0uj6 4 25 06 06 CD cord-259534-hpyf0uj6 4 26 journal journal NN cord-259534-hpyf0uj6 4 27 : : : cord-259534-hpyf0uj6 5 1 Results result NNS cord-259534-hpyf0uj6 6 1 Phys Phys NNP cord-259534-hpyf0uj6 6 2 DOI DOI NNP cord-259534-hpyf0uj6 6 3 : : : cord-259534-hpyf0uj6 6 4 10.1016 10.1016 CD cord-259534-hpyf0uj6 6 5 / / SYM cord-259534-hpyf0uj6 6 6 j.rinp.2020.103433 j.rinp.2020.103433 NNP cord-259534-hpyf0uj6 6 7 sha sha NNP cord-259534-hpyf0uj6 6 8 : : : cord-259534-hpyf0uj6 6 9 a3e00d72b3d54c61980d8d63505072f9076a5f49 a3e00d72b3d54c61980d8d63505072f9076a5f49 NNP cord-259534-hpyf0uj6 6 10 doc_id doc_id CD cord-259534-hpyf0uj6 6 11 : : : cord-259534-hpyf0uj6 6 12 259534 259534 CD cord-259534-hpyf0uj6 6 13 cord_uid cord_uid NNS cord-259534-hpyf0uj6 6 14 : : : cord-259534-hpyf0uj6 7 1 hpyf0uj6 hpyf0uj6 ADD cord-259534-hpyf0uj6 8 1 This this DT cord-259534-hpyf0uj6 8 2 study study NN cord-259534-hpyf0uj6 8 3 aims aim VBZ cord-259534-hpyf0uj6 8 4 to to TO cord-259534-hpyf0uj6 8 5 discuss discuss VB cord-259534-hpyf0uj6 8 6 the the DT cord-259534-hpyf0uj6 8 7 prevalence prevalence NN cord-259534-hpyf0uj6 8 8 of of IN cord-259534-hpyf0uj6 8 9 COVID-19 COVID-19 NNP cord-259534-hpyf0uj6 8 10 in in IN cord-259534-hpyf0uj6 8 11 U.S U.S NNP cord-259534-hpyf0uj6 8 12 , , , cord-259534-hpyf0uj6 8 13 Italy Italy NNP cord-259534-hpyf0uj6 8 14 , , , cord-259534-hpyf0uj6 8 15 Spain Spain NNP cord-259534-hpyf0uj6 8 16 , , , cord-259534-hpyf0uj6 8 17 France France NNP cord-259534-hpyf0uj6 8 18 and and CC cord-259534-hpyf0uj6 8 19 China China NNP cord-259534-hpyf0uj6 8 20 , , , cord-259534-hpyf0uj6 8 21 where where WRB cord-259534-hpyf0uj6 8 22 the the DT cord-259534-hpyf0uj6 8 23 virus virus NN cord-259534-hpyf0uj6 8 24 spreads spread VBZ cord-259534-hpyf0uj6 8 25 most most RBS cord-259534-hpyf0uj6 8 26 rapidly rapidly RB cord-259534-hpyf0uj6 8 27 and and CC cord-259534-hpyf0uj6 8 28 causes cause VBZ cord-259534-hpyf0uj6 8 29 tragic tragic JJ cord-259534-hpyf0uj6 8 30 outcomes outcome NNS cord-259534-hpyf0uj6 8 31 . . . cord-259534-hpyf0uj6 9 1 Thereafter thereafter RB cord-259534-hpyf0uj6 9 2 , , , cord-259534-hpyf0uj6 9 3 we -PRON- PRP cord-259534-hpyf0uj6 9 4 present present VBP cord-259534-hpyf0uj6 9 5 new new JJ cord-259534-hpyf0uj6 9 6 insights insight NNS cord-259534-hpyf0uj6 9 7 of of IN cord-259534-hpyf0uj6 9 8 existence existence NN cord-259534-hpyf0uj6 9 9 and and CC cord-259534-hpyf0uj6 9 10 uniqueness uniqueness NN cord-259534-hpyf0uj6 9 11 solutions solution NNS cord-259534-hpyf0uj6 9 12 of of IN cord-259534-hpyf0uj6 9 13 the the DT cord-259534-hpyf0uj6 9 14 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 9 15 models model NNS cord-259534-hpyf0uj6 9 16 via via IN cord-259534-hpyf0uj6 9 17 fractional fractional JJ cord-259534-hpyf0uj6 9 18 and and CC cord-259534-hpyf0uj6 9 19 fractal fractal JJ cord-259534-hpyf0uj6 9 20 - - HYPH cord-259534-hpyf0uj6 9 21 fractional fractional JJ cord-259534-hpyf0uj6 9 22 operators operator NNS cord-259534-hpyf0uj6 9 23 by by IN cord-259534-hpyf0uj6 9 24 using use VBG cord-259534-hpyf0uj6 9 25 fixed fix VBN cord-259534-hpyf0uj6 9 26 point point NN cord-259534-hpyf0uj6 9 27 methods method NNS cord-259534-hpyf0uj6 9 28 . . . cord-259534-hpyf0uj6 10 1 1 1 LS cord-259534-hpyf0uj6 11 1 Prelude prelude NN cord-259534-hpyf0uj6 11 2 to to IN cord-259534-hpyf0uj6 11 3 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 11 4 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 11 5 has have VBZ cord-259534-hpyf0uj6 11 6 been be VBN cord-259534-hpyf0uj6 11 7 terrifying terrify VBG cord-259534-hpyf0uj6 11 8 the the DT cord-259534-hpyf0uj6 11 9 world world NN cord-259534-hpyf0uj6 11 10 . . . cord-259534-hpyf0uj6 12 1 The the DT cord-259534-hpyf0uj6 12 2 virus virus NN cord-259534-hpyf0uj6 12 3 first first RB cord-259534-hpyf0uj6 12 4 seen see VBN cord-259534-hpyf0uj6 12 5 in in IN cord-259534-hpyf0uj6 12 6 Wuhan Wuhan NNP cord-259534-hpyf0uj6 12 7 , , , cord-259534-hpyf0uj6 12 8 China China NNP cord-259534-hpyf0uj6 12 9 , , , cord-259534-hpyf0uj6 12 10 has have VBZ cord-259534-hpyf0uj6 12 11 spread spread VBN cord-259534-hpyf0uj6 12 12 through through IN cord-259534-hpyf0uj6 12 13 continents continent NNS cord-259534-hpyf0uj6 12 14 . . . cord-259534-hpyf0uj6 13 1 The the DT cord-259534-hpyf0uj6 13 2 death death NN cord-259534-hpyf0uj6 13 3 toll toll NN cord-259534-hpyf0uj6 13 4 has have VBZ cord-259534-hpyf0uj6 13 5 reached reach VBN cord-259534-hpyf0uj6 13 6 its -PRON- PRP$ cord-259534-hpyf0uj6 13 7 peak peak NN cord-259534-hpyf0uj6 13 8 in in IN cord-259534-hpyf0uj6 13 9 Italy Italy NNP cord-259534-hpyf0uj6 13 10 , , , cord-259534-hpyf0uj6 13 11 Spain Spain NNP cord-259534-hpyf0uj6 13 12 , , , cord-259534-hpyf0uj6 13 13 the the DT cord-259534-hpyf0uj6 13 14 US US NNP cord-259534-hpyf0uj6 13 15 , , , cord-259534-hpyf0uj6 13 16 and and CC cord-259534-hpyf0uj6 13 17 other other JJ cord-259534-hpyf0uj6 13 18 advanced advanced JJ cord-259534-hpyf0uj6 13 19 and and CC cord-259534-hpyf0uj6 13 20 emerging emerge VBG cord-259534-hpyf0uj6 13 21 economies economy NNS cord-259534-hpyf0uj6 13 22 countries country NNS cord-259534-hpyf0uj6 13 23 alike alike RB cord-259534-hpyf0uj6 13 24 . . . cord-259534-hpyf0uj6 14 1 The the DT cord-259534-hpyf0uj6 14 2 smallest small JJS cord-259534-hpyf0uj6 14 3 creature creature NN cord-259534-hpyf0uj6 14 4 , , , cord-259534-hpyf0uj6 14 5 invisible invisible JJ cord-259534-hpyf0uj6 14 6 to to IN cord-259534-hpyf0uj6 14 7 the the DT cord-259534-hpyf0uj6 14 8 eye eye NN cord-259534-hpyf0uj6 14 9 , , , cord-259534-hpyf0uj6 14 10 questions question NNS cord-259534-hpyf0uj6 14 11 the the DT cord-259534-hpyf0uj6 14 12 existence existence NN cord-259534-hpyf0uj6 14 13 of of IN cord-259534-hpyf0uj6 14 14 mankind mankind NN cord-259534-hpyf0uj6 14 15 . . . cord-259534-hpyf0uj6 15 1 Country country NN cord-259534-hpyf0uj6 15 2 like like IN cord-259534-hpyf0uj6 15 3 U.S.A U.S.A NNP cord-259534-hpyf0uj6 15 4 also also RB cord-259534-hpyf0uj6 15 5 afraid afraid JJ cord-259534-hpyf0uj6 15 6 about about IN cord-259534-hpyf0uj6 15 7 this this DT cord-259534-hpyf0uj6 15 8 virus virus NN cord-259534-hpyf0uj6 15 9 . . . cord-259534-hpyf0uj6 16 1 This this DT cord-259534-hpyf0uj6 16 2 virus virus NN cord-259534-hpyf0uj6 16 3 disrupts disrupt VBZ cord-259534-hpyf0uj6 16 4 global global JJ cord-259534-hpyf0uj6 16 5 economies economy NNS cord-259534-hpyf0uj6 16 6 . . . cord-259534-hpyf0uj6 17 1 By by IN cord-259534-hpyf0uj6 17 2 considering consider VBG cord-259534-hpyf0uj6 17 3 the the DT cord-259534-hpyf0uj6 17 4 current current JJ cord-259534-hpyf0uj6 17 5 situation situation NN cord-259534-hpyf0uj6 17 6 of of IN cord-259534-hpyf0uj6 17 7 Europe Europe NNP cord-259534-hpyf0uj6 17 8 and and CC cord-259534-hpyf0uj6 17 9 the the DT cord-259534-hpyf0uj6 17 10 United United NNP cord-259534-hpyf0uj6 17 11 States States NNP cord-259534-hpyf0uj6 17 12 , , , cord-259534-hpyf0uj6 17 13 the the DT cord-259534-hpyf0uj6 17 14 situation situation NN cord-259534-hpyf0uj6 17 15 of of IN cord-259534-hpyf0uj6 17 16 developing develop VBG cord-259534-hpyf0uj6 17 17 countries country NNS cord-259534-hpyf0uj6 17 18 has have VBZ cord-259534-hpyf0uj6 17 19 become become VBN cord-259534-hpyf0uj6 17 20 an an DT cord-259534-hpyf0uj6 17 21 unanswered unanswered JJ cord-259534-hpyf0uj6 17 22 question question NN cord-259534-hpyf0uj6 17 23 . . . cord-259534-hpyf0uj6 18 1 Researchers researcher NNS cord-259534-hpyf0uj6 18 2 are be VBP cord-259534-hpyf0uj6 18 3 working work VBG cord-259534-hpyf0uj6 18 4 hard hard RB cord-259534-hpyf0uj6 18 5 to to TO cord-259534-hpyf0uj6 18 6 develop develop VB cord-259534-hpyf0uj6 18 7 a a DT cord-259534-hpyf0uj6 18 8 vaccine vaccine NN cord-259534-hpyf0uj6 18 9 for for IN cord-259534-hpyf0uj6 18 10 the the DT cord-259534-hpyf0uj6 18 11 virus virus NN cord-259534-hpyf0uj6 18 12 but but CC cord-259534-hpyf0uj6 18 13 no no DT cord-259534-hpyf0uj6 18 14 progress progress NN cord-259534-hpyf0uj6 18 15 has have VBZ cord-259534-hpyf0uj6 18 16 been be VBN cord-259534-hpyf0uj6 18 17 made make VBN cord-259534-hpyf0uj6 18 18 so so RB cord-259534-hpyf0uj6 18 19 far far RB cord-259534-hpyf0uj6 18 20 . . . cord-259534-hpyf0uj6 19 1 From from IN cord-259534-hpyf0uj6 19 2 self self NN cord-259534-hpyf0uj6 19 3 - - HYPH cord-259534-hpyf0uj6 19 4 declared declare VBN cord-259534-hpyf0uj6 19 5 countries country NNS cord-259534-hpyf0uj6 19 6 to to IN cord-259534-hpyf0uj6 19 7 well well RB cord-259534-hpyf0uj6 19 8 developed develop VBN cord-259534-hpyf0uj6 19 9 countries country NNS cord-259534-hpyf0uj6 19 10 , , , cord-259534-hpyf0uj6 19 11 all all DT cord-259534-hpyf0uj6 19 12 are be VBP cord-259534-hpyf0uj6 19 13 working work VBG cord-259534-hpyf0uj6 19 14 hard hard RB cord-259534-hpyf0uj6 19 15 to to TO cord-259534-hpyf0uj6 19 16 stop stop VB cord-259534-hpyf0uj6 19 17 the the DT cord-259534-hpyf0uj6 19 18 spread spread NN cord-259534-hpyf0uj6 19 19 of of IN cord-259534-hpyf0uj6 19 20 communal communal JJ cord-259534-hpyf0uj6 19 21 infection infection NN cord-259534-hpyf0uj6 19 22 . . . cord-259534-hpyf0uj6 20 1 Health health NN cord-259534-hpyf0uj6 20 2 - - HYPH cord-259534-hpyf0uj6 20 3 care care NN cord-259534-hpyf0uj6 20 4 services service NNS cord-259534-hpyf0uj6 20 5 are be VBP cord-259534-hpyf0uj6 20 6 being be VBG cord-259534-hpyf0uj6 20 7 kept keep VBN cord-259534-hpyf0uj6 20 8 up up IN cord-259534-hpyf0uj6 20 9 to to IN cord-259534-hpyf0uj6 20 10 date date NN cord-259534-hpyf0uj6 20 11 ; ; : cord-259534-hpyf0uj6 20 12 nursing nursing NN cord-259534-hpyf0uj6 20 13 , , , cord-259534-hpyf0uj6 20 14 medical medical JJ cord-259534-hpyf0uj6 20 15 staff staff NN cord-259534-hpyf0uj6 20 16 and and CC cord-259534-hpyf0uj6 20 17 physicians physician NNS cord-259534-hpyf0uj6 20 18 are be VBP cord-259534-hpyf0uj6 20 19 being be VBG cord-259534-hpyf0uj6 20 20 trained train VBN cord-259534-hpyf0uj6 20 21 , , , cord-259534-hpyf0uj6 20 22 and and CC cord-259534-hpyf0uj6 20 23 many many JJ cord-259534-hpyf0uj6 20 24 organisations organisation NNS cord-259534-hpyf0uj6 20 25 are be VBP cord-259534-hpyf0uj6 20 26 spreading spread VBG cord-259534-hpyf0uj6 20 27 awareness awareness NN cord-259534-hpyf0uj6 20 28 about about IN cord-259534-hpyf0uj6 20 29 and and CC cord-259534-hpyf0uj6 20 30 transmission transmission NN cord-259534-hpyf0uj6 20 31 of of IN cord-259534-hpyf0uj6 20 32 the the DT cord-259534-hpyf0uj6 20 33 issues issue NNS cord-259534-hpyf0uj6 20 34 related relate VBN cord-259534-hpyf0uj6 20 35 to to IN cord-259534-hpyf0uj6 20 36 this this DT cord-259534-hpyf0uj6 20 37 virus virus NN cord-259534-hpyf0uj6 20 38 . . . cord-259534-hpyf0uj6 21 1 Nevertheless nevertheless RB cord-259534-hpyf0uj6 21 2 , , , cord-259534-hpyf0uj6 21 3 it -PRON- PRP cord-259534-hpyf0uj6 21 4 is be VBZ cord-259534-hpyf0uj6 21 5 impossible impossible JJ cord-259534-hpyf0uj6 21 6 to to TO cord-259534-hpyf0uj6 21 7 forecast forecast VB cord-259534-hpyf0uj6 21 8 the the DT cord-259534-hpyf0uj6 21 9 propagation propagation NN cord-259534-hpyf0uj6 21 10 of of IN cord-259534-hpyf0uj6 21 11 the the DT cord-259534-hpyf0uj6 21 12 infection infection NN cord-259534-hpyf0uj6 21 13 due due IN cord-259534-hpyf0uj6 21 14 to to IN cord-259534-hpyf0uj6 21 15 the the DT cord-259534-hpyf0uj6 21 16 number number NN cord-259534-hpyf0uj6 21 17 of of IN cord-259534-hpyf0uj6 21 18 sick sick JJ cord-259534-hpyf0uj6 21 19 people people NNS cord-259534-hpyf0uj6 21 20 and and CC cord-259534-hpyf0uj6 21 21 those those DT cord-259534-hpyf0uj6 21 22 being be VBG cord-259534-hpyf0uj6 21 23 treated treat VBN cord-259534-hpyf0uj6 21 24 changing change VBG cord-259534-hpyf0uj6 21 25 significantly significantly RB cord-259534-hpyf0uj6 21 26 in in IN cord-259534-hpyf0uj6 21 27 various various JJ cord-259534-hpyf0uj6 21 28 countries country NNS cord-259534-hpyf0uj6 21 29 every every DT cord-259534-hpyf0uj6 21 30 day day NN cord-259534-hpyf0uj6 21 31 . . . cord-259534-hpyf0uj6 22 1 Viruses virus NNS cord-259534-hpyf0uj6 22 2 in in IN cord-259534-hpyf0uj6 22 3 humans human NNS cord-259534-hpyf0uj6 22 4 have have VBP cord-259534-hpyf0uj6 22 5 traditionally traditionally RB cord-259534-hpyf0uj6 22 6 been be VBN cord-259534-hpyf0uj6 22 7 recognized recognize VBN cord-259534-hpyf0uj6 22 8 as as IN cord-259534-hpyf0uj6 22 9 unreliable unreliable JJ cord-259534-hpyf0uj6 22 10 pathogens pathogen NNS cord-259534-hpyf0uj6 22 11 in in IN cord-259534-hpyf0uj6 22 12 correlation correlation NN cord-259534-hpyf0uj6 22 13 with with IN cord-259534-hpyf0uj6 22 14 animals animal NNS cord-259534-hpyf0uj6 22 15 . . . cord-259534-hpyf0uj6 23 1 Human human JJ cord-259534-hpyf0uj6 23 2 mortality mortality NN cord-259534-hpyf0uj6 23 3 from from IN cord-259534-hpyf0uj6 23 4 viruses virus NNS cord-259534-hpyf0uj6 23 5 was be VBD cord-259534-hpyf0uj6 23 6 very very RB cord-259534-hpyf0uj6 23 7 small small JJ cord-259534-hpyf0uj6 23 8 relative relative NN cord-259534-hpyf0uj6 23 9 to to IN cord-259534-hpyf0uj6 23 10 other other JJ cord-259534-hpyf0uj6 23 11 diseases disease NNS cord-259534-hpyf0uj6 23 12 such such JJ cord-259534-hpyf0uj6 23 13 as as IN cord-259534-hpyf0uj6 23 14 AIDS AIDS NNP cord-259534-hpyf0uj6 23 15 , , , cord-259534-hpyf0uj6 23 16 cardiovascular cardiovascular JJ cord-259534-hpyf0uj6 23 17 disorders disorder NNS cord-259534-hpyf0uj6 23 18 , , , cord-259534-hpyf0uj6 23 19 and and CC cord-259534-hpyf0uj6 23 20 Cancer Cancer NNP cord-259534-hpyf0uj6 23 21 . . . cord-259534-hpyf0uj6 24 1 However however RB cord-259534-hpyf0uj6 24 2 , , , cord-259534-hpyf0uj6 24 3 whenever whenever WRB cord-259534-hpyf0uj6 24 4 a a DT cord-259534-hpyf0uj6 24 5 person person NN cord-259534-hpyf0uj6 24 6 would would MD cord-259534-hpyf0uj6 24 7 have have VB cord-259534-hpyf0uj6 24 8 any any DT cord-259534-hpyf0uj6 24 9 autoimmune autoimmune JJ cord-259534-hpyf0uj6 24 10 illness illness NN cord-259534-hpyf0uj6 24 11 , , , cord-259534-hpyf0uj6 24 12 respiratory respiratory JJ cord-259534-hpyf0uj6 24 13 ailments ailment NNS cord-259534-hpyf0uj6 24 14 , , , cord-259534-hpyf0uj6 24 15 and and CC cord-259534-hpyf0uj6 24 16 has have VBZ cord-259534-hpyf0uj6 24 17 weakened weaken VBN cord-259534-hpyf0uj6 24 18 the the DT cord-259534-hpyf0uj6 24 19 immune immune JJ cord-259534-hpyf0uj6 24 20 system system NN cord-259534-hpyf0uj6 24 21 , , , cord-259534-hpyf0uj6 24 22 it -PRON- PRP cord-259534-hpyf0uj6 24 23 's be VBZ cord-259534-hpyf0uj6 24 24 been be VBN cord-259534-hpyf0uj6 24 25 stated state VBN cord-259534-hpyf0uj6 24 26 that that IN cord-259534-hpyf0uj6 24 27 viruses virus NNS cord-259534-hpyf0uj6 24 28 can can MD cord-259534-hpyf0uj6 24 29 intensify intensify VB cord-259534-hpyf0uj6 24 30 the the DT cord-259534-hpyf0uj6 24 31 effects effect NNS cord-259534-hpyf0uj6 24 32 and and CC cord-259534-hpyf0uj6 24 33 have have VBP cord-259534-hpyf0uj6 24 34 more more RBR cord-259534-hpyf0uj6 24 35 significant significant JJ cord-259534-hpyf0uj6 24 36 impact impact NN cord-259534-hpyf0uj6 24 37 on on IN cord-259534-hpyf0uj6 24 38 the the DT cord-259534-hpyf0uj6 24 39 human human JJ cord-259534-hpyf0uj6 24 40 safety safety NN cord-259534-hpyf0uj6 24 41 . . . cord-259534-hpyf0uj6 25 1 However however RB cord-259534-hpyf0uj6 25 2 with with IN cord-259534-hpyf0uj6 25 3 the the DT cord-259534-hpyf0uj6 25 4 causative causative JJ cord-259534-hpyf0uj6 25 5 agent agent NN cord-259534-hpyf0uj6 25 6 , , , cord-259534-hpyf0uj6 25 7 this this DT cord-259534-hpyf0uj6 25 8 viral viral JJ cord-259534-hpyf0uj6 25 9 disease disease NN cord-259534-hpyf0uj6 25 10 is be VBZ cord-259534-hpyf0uj6 25 11 a a DT cord-259534-hpyf0uj6 25 12 novel novel JJ cord-259534-hpyf0uj6 25 13 entry entry NN cord-259534-hpyf0uj6 25 14 into into IN cord-259534-hpyf0uj6 25 15 the the DT cord-259534-hpyf0uj6 25 16 viral viral JJ cord-259534-hpyf0uj6 25 17 planet planet NN cord-259534-hpyf0uj6 25 18 and and CC cord-259534-hpyf0uj6 25 19 thus thus RB cord-259534-hpyf0uj6 25 20 poses pose VBZ cord-259534-hpyf0uj6 25 21 unforeseen unforeseen JJ cord-259534-hpyf0uj6 25 22 challenges challenge NNS cord-259534-hpyf0uj6 25 23 . . . cord-259534-hpyf0uj6 26 1 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 26 2 / / SYM cord-259534-hpyf0uj6 26 3 SARS SARS NNP cord-259534-hpyf0uj6 26 4 - - HYPH cord-259534-hpyf0uj6 26 5 CoV-2 CoV-2 NNP cord-259534-hpyf0uj6 26 6 , , , cord-259534-hpyf0uj6 26 7 widely widely RB cord-259534-hpyf0uj6 26 8 known know VBN cord-259534-hpyf0uj6 26 9 as as IN cord-259534-hpyf0uj6 26 10 Novel Novel NNP cord-259534-hpyf0uj6 26 11 Coronavirus Coronavirus NNP cord-259534-hpyf0uj6 26 12 , , , cord-259534-hpyf0uj6 26 13 is be VBZ cord-259534-hpyf0uj6 26 14 a a DT cord-259534-hpyf0uj6 26 15 separate separate JJ cord-259534-hpyf0uj6 26 16 , , , cord-259534-hpyf0uj6 26 17 tangible tangible JJ cord-259534-hpyf0uj6 26 18 - - HYPH cord-259534-hpyf0uj6 26 19 stranded strand VBN cord-259534-hpyf0uj6 26 20 RNA RNA NNP cord-259534-hpyf0uj6 26 21 virus virus NN cord-259534-hpyf0uj6 26 22 that that WDT cord-259534-hpyf0uj6 26 23 belongs belong VBZ cord-259534-hpyf0uj6 26 24 to to IN cord-259534-hpyf0uj6 26 25 the the DT cord-259534-hpyf0uj6 26 26 class class NN cord-259534-hpyf0uj6 26 27 Nidovirales Nidovirales NNP cord-259534-hpyf0uj6 26 28 [ [ -LRB- cord-259534-hpyf0uj6 26 29 1 1 CD cord-259534-hpyf0uj6 26 30 ] ] -RRB- cord-259534-hpyf0uj6 26 31 , , , cord-259534-hpyf0uj6 26 32 which which WDT cord-259534-hpyf0uj6 26 33 is be VBZ cord-259534-hpyf0uj6 26 34 responsible responsible JJ cord-259534-hpyf0uj6 26 35 for for IN cord-259534-hpyf0uj6 26 36 the the DT cord-259534-hpyf0uj6 26 37 ongoing ongoing JJ cord-259534-hpyf0uj6 26 38 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 26 39 global global JJ cord-259534-hpyf0uj6 26 40 pandemic pandemic NN cord-259534-hpyf0uj6 26 41 [ [ -LRB- cord-259534-hpyf0uj6 26 42 2 2 CD cord-259534-hpyf0uj6 26 43 ] ] -RRB- cord-259534-hpyf0uj6 26 44 . . . cord-259534-hpyf0uj6 27 1 Human human JJ cord-259534-hpyf0uj6 27 2 viruses virus NNS cord-259534-hpyf0uj6 27 3 were be VBD cord-259534-hpyf0uj6 27 4 not not RB cord-259534-hpyf0uj6 27 5 considered consider VBN cord-259534-hpyf0uj6 27 6 to to TO cord-259534-hpyf0uj6 27 7 be be VB cord-259534-hpyf0uj6 27 8 essential essential JJ cord-259534-hpyf0uj6 27 9 pathogens pathogen NNS cord-259534-hpyf0uj6 27 10 as as IN cord-259534-hpyf0uj6 27 11 infected infected JJ cord-259534-hpyf0uj6 27 12 individual individual JJ cord-259534-hpyf0uj6 27 13 people people NNS cord-259534-hpyf0uj6 27 14 evolve evolve VBP cord-259534-hpyf0uj6 27 15 flu flu NN cord-259534-hpyf0uj6 27 16 as as IN cord-259534-hpyf0uj6 27 17 symptoms symptom NNS cord-259534-hpyf0uj6 27 18 and and CC cord-259534-hpyf0uj6 27 19 then then RB cord-259534-hpyf0uj6 27 20 cure cure VB cord-259534-hpyf0uj6 27 21 themselves -PRON- PRP cord-259534-hpyf0uj6 27 22 as as IN cord-259534-hpyf0uj6 27 23 an an DT cord-259534-hpyf0uj6 27 24 adaptive adaptive JJ cord-259534-hpyf0uj6 27 25 immune immune JJ cord-259534-hpyf0uj6 27 26 system system NN cord-259534-hpyf0uj6 27 27 that that WDT cord-259534-hpyf0uj6 27 28 stimulus stimulus NN cord-259534-hpyf0uj6 27 29 disease disease NN cord-259534-hpyf0uj6 27 30 - - HYPH cord-259534-hpyf0uj6 27 31 resistant resistant JJ cord-259534-hpyf0uj6 27 32 antibody antibody NN cord-259534-hpyf0uj6 27 33 formation formation NN cord-259534-hpyf0uj6 27 34 [ [ -LRB- cord-259534-hpyf0uj6 27 35 3 3 CD cord-259534-hpyf0uj6 27 36 ] ] -RRB- cord-259534-hpyf0uj6 27 37 . . . cord-259534-hpyf0uj6 28 1 Although although IN cord-259534-hpyf0uj6 28 2 some some DT cord-259534-hpyf0uj6 28 3 vaccines vaccine NNS cord-259534-hpyf0uj6 28 4 have have VBP cord-259534-hpyf0uj6 28 5 been be VBN cord-259534-hpyf0uj6 28 6 recently recently RB cord-259534-hpyf0uj6 28 7 developed develop VBN cord-259534-hpyf0uj6 28 8 and and CC cord-259534-hpyf0uj6 28 9 older old JJR cord-259534-hpyf0uj6 28 10 people people NNS cord-259534-hpyf0uj6 28 11 are be VBP cord-259534-hpyf0uj6 28 12 advised advise VBN cord-259534-hpyf0uj6 28 13 to to TO cord-259534-hpyf0uj6 28 14 take take VB cord-259534-hpyf0uj6 28 15 shots shot NNS cord-259534-hpyf0uj6 28 16 every every DT cord-259534-hpyf0uj6 28 17 year year NN cord-259534-hpyf0uj6 28 18 as as IN cord-259534-hpyf0uj6 28 19 they -PRON- PRP cord-259534-hpyf0uj6 28 20 have have VBP cord-259534-hpyf0uj6 28 21 been be VBN cord-259534-hpyf0uj6 28 22 compromised compromise VBN cord-259534-hpyf0uj6 28 23 Immunology Immunology NNP cord-259534-hpyf0uj6 28 24 , , , cord-259534-hpyf0uj6 28 25 signs sign NNS cord-259534-hpyf0uj6 28 26 of of IN cord-259534-hpyf0uj6 28 27 common common JJ cord-259534-hpyf0uj6 28 28 grippe grippe NNP cord-259534-hpyf0uj6 28 29 have have VBP cord-259534-hpyf0uj6 28 30 not not RB cord-259534-hpyf0uj6 28 31 been be VBN cord-259534-hpyf0uj6 28 32 a a DT cord-259534-hpyf0uj6 28 33 concern concern NN cord-259534-hpyf0uj6 28 34 in in IN cord-259534-hpyf0uj6 28 35 both both CC cord-259534-hpyf0uj6 28 36 developed developed JJ cord-259534-hpyf0uj6 28 37 and and CC cord-259534-hpyf0uj6 28 38 developing develop VBG cord-259534-hpyf0uj6 28 39 countries country NNS cord-259534-hpyf0uj6 28 40 . . . cord-259534-hpyf0uj6 29 1 Yet yet CC cord-259534-hpyf0uj6 29 2 Novel Novel NNP cord-259534-hpyf0uj6 29 3 2019-nCoV 2019-nCoV NNP cord-259534-hpyf0uj6 29 4 's 's POS cord-259534-hpyf0uj6 29 5 spread spread NN cord-259534-hpyf0uj6 29 6 has have VBZ cord-259534-hpyf0uj6 29 7 alarmed alarm VBN cord-259534-hpyf0uj6 29 8 people people NNS cord-259534-hpyf0uj6 29 9 around around IN cord-259534-hpyf0uj6 29 10 the the DT cord-259534-hpyf0uj6 29 11 world world NN cord-259534-hpyf0uj6 29 12 . . . cord-259534-hpyf0uj6 30 1 It -PRON- PRP cord-259534-hpyf0uj6 30 2 's be VBZ cord-259534-hpyf0uj6 30 3 essential essential JJ cord-259534-hpyf0uj6 30 4 to to TO cord-259534-hpyf0uj6 30 5 note note VB cord-259534-hpyf0uj6 30 6 how how WRB cord-259534-hpyf0uj6 30 7 the the DT cord-259534-hpyf0uj6 30 8 virus virus NN cord-259534-hpyf0uj6 30 9 in in IN cord-259534-hpyf0uj6 30 10 alien alien JJ cord-259534-hpyf0uj6 30 11 environments environment NNS cord-259534-hpyf0uj6 30 12 is be VBZ cord-259534-hpyf0uj6 30 13 going go VBG cord-259534-hpyf0uj6 30 14 to to TO cord-259534-hpyf0uj6 30 15 fare fare VB cord-259534-hpyf0uj6 30 16 . . . cord-259534-hpyf0uj6 31 1 For for IN cord-259534-hpyf0uj6 31 2 this this DT cord-259534-hpyf0uj6 31 3 purpose purpose NN cord-259534-hpyf0uj6 31 4 , , , cord-259534-hpyf0uj6 31 5 interdisciplinary interdisciplinary JJ cord-259534-hpyf0uj6 31 6 work work NN cord-259534-hpyf0uj6 31 7 involving involve VBG cord-259534-hpyf0uj6 31 8 biologists biologist NNS cord-259534-hpyf0uj6 31 9 , , , cord-259534-hpyf0uj6 31 10 data datum NNS cord-259534-hpyf0uj6 31 11 scientists scientist NNS cord-259534-hpyf0uj6 31 12 , , , cord-259534-hpyf0uj6 31 13 mathematicians mathematician NNS cord-259534-hpyf0uj6 31 14 and and CC cord-259534-hpyf0uj6 31 15 clinicians clinician NNS cord-259534-hpyf0uj6 31 16 is be VBZ cord-259534-hpyf0uj6 31 17 required require VBN cord-259534-hpyf0uj6 31 18 in in IN cord-259534-hpyf0uj6 31 19 order order NN cord-259534-hpyf0uj6 31 20 to to TO cord-259534-hpyf0uj6 31 21 stop stop VB cord-259534-hpyf0uj6 31 22 the the DT cord-259534-hpyf0uj6 31 23 propagation propagation NN cord-259534-hpyf0uj6 31 24 of of IN cord-259534-hpyf0uj6 31 25 these these DT cord-259534-hpyf0uj6 31 26 diseases disease NNS cord-259534-hpyf0uj6 31 27 and and CC cord-259534-hpyf0uj6 31 28 the the DT cord-259534-hpyf0uj6 31 29 implementation implementation NN cord-259534-hpyf0uj6 31 30 of of IN cord-259534-hpyf0uj6 31 31 effective effective JJ cord-259534-hpyf0uj6 31 32 procedures procedure NNS cord-259534-hpyf0uj6 31 33 , , , cord-259534-hpyf0uj6 31 34 medications medication NNS cord-259534-hpyf0uj6 31 35 to to TO cord-259534-hpyf0uj6 31 36 control control VB cord-259534-hpyf0uj6 31 37 them -PRON- PRP cord-259534-hpyf0uj6 31 38 until until IN cord-259534-hpyf0uj6 31 39 the the DT cord-259534-hpyf0uj6 31 40 condition condition NN cord-259534-hpyf0uj6 31 41 is be VBZ cord-259534-hpyf0uj6 31 42 out out IN cord-259534-hpyf0uj6 31 43 of of IN cord-259534-hpyf0uj6 31 44 reach reach NN cord-259534-hpyf0uj6 31 45 . . . cord-259534-hpyf0uj6 32 1 According accord VBG cord-259534-hpyf0uj6 32 2 to to IN cord-259534-hpyf0uj6 32 3 data datum NNS cord-259534-hpyf0uj6 32 4 from from IN cord-259534-hpyf0uj6 32 5 the the DT cord-259534-hpyf0uj6 32 6 WHO WHO NNP cord-259534-hpyf0uj6 32 7 , , , cord-259534-hpyf0uj6 32 8 more more JJR cord-259534-hpyf0uj6 32 9 than than IN cord-259534-hpyf0uj6 32 10 4.5 4.5 CD cord-259534-hpyf0uj6 32 11 million million CD cord-259534-hpyf0uj6 32 12 cases case NNS cord-259534-hpyf0uj6 32 13 of of IN cord-259534-hpyf0uj6 32 14 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 32 15 were be VBD cord-259534-hpyf0uj6 32 16 registered register VBN cord-259534-hpyf0uj6 32 17 globally globally RB cord-259534-hpyf0uj6 32 18 before before IN cord-259534-hpyf0uj6 32 19 18th 18th JJ cord-259534-hpyf0uj6 32 20 May May NNP cord-259534-hpyf0uj6 32 21 2020 2020 CD cord-259534-hpyf0uj6 32 22 , , , cord-259534-hpyf0uj6 32 23 which which WDT cord-259534-hpyf0uj6 32 24 is be VBZ cord-259534-hpyf0uj6 32 25 around around RB cord-259534-hpyf0uj6 32 26 60 60 CD cord-259534-hpyf0uj6 32 27 cases case NNS cord-259534-hpyf0uj6 32 28 per per IN cord-259534-hpyf0uj6 32 29 lakh lakh NN cord-259534-hpyf0uj6 32 30 population population NN cord-259534-hpyf0uj6 32 31 . . . cord-259534-hpyf0uj6 33 1 China China NNP cord-259534-hpyf0uj6 33 2 implemented implement VBD cord-259534-hpyf0uj6 33 3 and/or and/or CC cord-259534-hpyf0uj6 33 4 followed follow VBD cord-259534-hpyf0uj6 33 5 strict strict JJ cord-259534-hpyf0uj6 33 6 rules rule NNS cord-259534-hpyf0uj6 33 7 and and CC cord-259534-hpyf0uj6 33 8 regulations regulation NNS cord-259534-hpyf0uj6 33 9 to to TO cord-259534-hpyf0uj6 33 10 defeat defeat VB cord-259534-hpyf0uj6 33 11 2019-nCoV. 2019-ncov. CD cord-259534-hpyf0uj6 34 1 When when WRB cord-259534-hpyf0uj6 34 2 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 34 3 outbreaks outbreak NNS cord-259534-hpyf0uj6 34 4 escalated escalate VBD cord-259534-hpyf0uj6 34 5 in in IN cord-259534-hpyf0uj6 34 6 Wuhan Wuhan NNP cord-259534-hpyf0uj6 34 7 , , , cord-259534-hpyf0uj6 34 8 China China NNP cord-259534-hpyf0uj6 34 9 , , , cord-259534-hpyf0uj6 34 10 in in IN cord-259534-hpyf0uj6 34 11 late late JJ cord-259534-hpyf0uj6 34 12 February February NNP cord-259534-hpyf0uj6 34 13 , , , cord-259534-hpyf0uj6 34 14 officials official NNS cord-259534-hpyf0uj6 34 15 went go VBD cord-259534-hpyf0uj6 34 16 house house NN cord-259534-hpyf0uj6 34 17 - - : cord-259534-hpyf0uj6 34 18 to to IN cord-259534-hpyf0uj6 34 19 house house NN cord-259534-hpyf0uj6 34 20 for for IN cord-259534-hpyf0uj6 34 21 medical medical JJ cord-259534-hpyf0uj6 34 22 examinations examination NNS cord-259534-hpyf0uj6 34 23 - - : cord-259534-hpyf0uj6 34 24 forcefully forcefully RB cord-259534-hpyf0uj6 34 25 isolating isolate VBG cord-259534-hpyf0uj6 34 26 every every DT cord-259534-hpyf0uj6 34 27 person person NN cord-259534-hpyf0uj6 34 28 in in IN cord-259534-hpyf0uj6 34 29 informal informal JJ cord-259534-hpyf0uj6 34 30 hospitals hospital NNS cord-259534-hpyf0uj6 34 31 and and CC cord-259534-hpyf0uj6 34 32 provisional provisional JJ cord-259534-hpyf0uj6 34 33 quarantine quarantine NN cord-259534-hpyf0uj6 34 34 centers center NNS cord-259534-hpyf0uj6 34 35 , , , cord-259534-hpyf0uj6 34 36 including include VBG cord-259534-hpyf0uj6 34 37 extracting extract VBG cord-259534-hpyf0uj6 34 38 parents parent NNS cord-259534-hpyf0uj6 34 39 from from IN cord-259534-hpyf0uj6 34 40 small small JJ cord-259534-hpyf0uj6 34 41 children child NNS cord-259534-hpyf0uj6 34 42 who who WP cord-259534-hpyf0uj6 34 43 exhibited exhibit VBD cord-259534-hpyf0uj6 34 44 signs sign NNS cord-259534-hpyf0uj6 34 45 of of IN cord-259534-hpyf0uj6 34 46 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 34 47 , , , cord-259534-hpyf0uj6 34 48 no no RB cord-259534-hpyf0uj6 34 49 matter matter RB cord-259534-hpyf0uj6 34 50 how how WRB cord-259534-hpyf0uj6 34 51 mild mild JJ cord-259534-hpyf0uj6 34 52 it -PRON- PRP cord-259534-hpyf0uj6 34 53 might may MD cord-259534-hpyf0uj6 34 54 be be VB cord-259534-hpyf0uj6 34 55 . . . cord-259534-hpyf0uj6 35 1 Healthcare healthcare NN cord-259534-hpyf0uj6 35 2 professionals professional NNS cord-259534-hpyf0uj6 35 3 at at IN cord-259534-hpyf0uj6 35 4 the the DT cord-259534-hpyf0uj6 35 5 omnipresent omnipresent JJ cord-259534-hpyf0uj6 35 6 big big JJ cord-259534-hpyf0uj6 35 7 apartment apartment NN cord-259534-hpyf0uj6 35 8 buildings building NNS cord-259534-hpyf0uj6 35 9 in in IN cord-259534-hpyf0uj6 35 10 the the DT cord-259534-hpyf0uj6 35 11 city city NN cord-259534-hpyf0uj6 35 12 were be VBD cord-259534-hpyf0uj6 35 13 forced force VBN cord-259534-hpyf0uj6 35 14 into into IN cord-259534-hpyf0uj6 35 15 action action NN cord-259534-hpyf0uj6 35 16 as as IN cord-259534-hpyf0uj6 35 17 asynchronous asynchronous JJ cord-259534-hpyf0uj6 35 18 security security NN cord-259534-hpyf0uj6 35 19 officers officer NNS cord-259534-hpyf0uj6 35 20 , , , cord-259534-hpyf0uj6 35 21 tracking track VBG cord-259534-hpyf0uj6 35 22 the the DT cord-259534-hpyf0uj6 35 23 temperatures temperature NNS cord-259534-hpyf0uj6 35 24 of of IN cord-259534-hpyf0uj6 35 25 all all DT cord-259534-hpyf0uj6 35 26 occupants occupant NNS cord-259534-hpyf0uj6 35 27 , , , cord-259534-hpyf0uj6 35 28 determining determine VBG cord-259534-hpyf0uj6 35 29 who who WP cord-259534-hpyf0uj6 35 30 could could MD cord-259534-hpyf0uj6 35 31 join join VB cord-259534-hpyf0uj6 35 32 and and CC cord-259534-hpyf0uj6 35 33 carrying carry VBG cord-259534-hpyf0uj6 35 34 out out RP cord-259534-hpyf0uj6 35 35 assessments assessment NNS cord-259534-hpyf0uj6 35 36 of of IN cord-259534-hpyf0uj6 35 37 distributed distribute VBN cord-259534-hpyf0uj6 35 38 feed feed NN cord-259534-hpyf0uj6 35 39 ingredients ingredient NNS cord-259534-hpyf0uj6 35 40 and and CC cord-259534-hpyf0uj6 35 41 medicines medicine NNS cord-259534-hpyf0uj6 35 42 . . . cord-259534-hpyf0uj6 36 1 There there RB cord-259534-hpyf0uj6 36 2 , , , cord-259534-hpyf0uj6 36 3 drones drone NNS cord-259534-hpyf0uj6 36 4 circled circle VBD cord-259534-hpyf0uj6 36 5 over over IN cord-259534-hpyf0uj6 36 6 the the DT cord-259534-hpyf0uj6 36 7 sidewalks sidewalk NNS cord-259534-hpyf0uj6 36 8 , , , cord-259534-hpyf0uj6 36 9 shouting shout VBG cord-259534-hpyf0uj6 36 10 at at IN cord-259534-hpyf0uj6 36 11 citizens citizen NNS cord-259534-hpyf0uj6 36 12 to to TO cord-259534-hpyf0uj6 36 13 get get VB cord-259534-hpyf0uj6 36 14 inside inside RB cord-259534-hpyf0uj6 36 15 and and CC cord-259534-hpyf0uj6 36 16 haranguing harangue VBG cord-259534-hpyf0uj6 36 17 them -PRON- PRP cord-259534-hpyf0uj6 36 18 for for IN cord-259534-hpyf0uj6 36 19 not not RB cord-259534-hpyf0uj6 36 20 wearing wear VBG cord-259534-hpyf0uj6 36 21 surgical surgical JJ cord-259534-hpyf0uj6 36 22 masks mask NNS cord-259534-hpyf0uj6 36 23 , , , cord-259534-hpyf0uj6 36 24 whilst whilst IN cord-259534-hpyf0uj6 36 25 elsewhere elsewhere RB cord-259534-hpyf0uj6 36 26 in in IN cord-259534-hpyf0uj6 36 27 China China NNP cord-259534-hpyf0uj6 36 28 face face VBP cord-259534-hpyf0uj6 36 29 detection detection NN cord-259534-hpyf0uj6 36 30 tech tech NN cord-259534-hpyf0uj6 36 31 , , , cord-259534-hpyf0uj6 36 32 connected connect VBN cord-259534-hpyf0uj6 36 33 to to IN cord-259534-hpyf0uj6 36 34 a a DT cord-259534-hpyf0uj6 36 35 compulsory compulsory JJ cord-259534-hpyf0uj6 36 36 phone phone NN cord-259534-hpyf0uj6 36 37 app app NN cord-259534-hpyf0uj6 36 38 that that IN cord-259534-hpyf0uj6 36 39 color color NN cord-259534-hpyf0uj6 36 40 - - HYPH cord-259534-hpyf0uj6 36 41 coded code VBN cord-259534-hpyf0uj6 36 42 people people NNS cord-259534-hpyf0uj6 36 43 based base VBN cord-259534-hpyf0uj6 36 44 on on IN cord-259534-hpyf0uj6 36 45 their -PRON- PRP$ cord-259534-hpyf0uj6 36 46 contagion contagion NN cord-259534-hpyf0uj6 36 47 danger danger NN cord-259534-hpyf0uj6 36 48 , , , cord-259534-hpyf0uj6 36 49 determined determine VBD cord-259534-hpyf0uj6 36 50 who who WP cord-259534-hpyf0uj6 36 51 should should MD cord-259534-hpyf0uj6 36 52 go go VB cord-259534-hpyf0uj6 36 53 into into IN cord-259534-hpyf0uj6 36 54 shopping shopping NN cord-259534-hpyf0uj6 36 55 malls mall NNS cord-259534-hpyf0uj6 36 56 , , , cord-259534-hpyf0uj6 36 57 subway subway NN cord-259534-hpyf0uj6 36 58 stations station NNS cord-259534-hpyf0uj6 36 59 , , , cord-259534-hpyf0uj6 36 60 restaurants restaurant NNS cord-259534-hpyf0uj6 36 61 and and CC cord-259534-hpyf0uj6 36 62 other other JJ cord-259534-hpyf0uj6 36 63 public public JJ cord-259534-hpyf0uj6 36 64 areas area NNS cord-259534-hpyf0uj6 36 65 . . . cord-259534-hpyf0uj6 37 1 We -PRON- PRP cord-259534-hpyf0uj6 37 2 may may MD cord-259534-hpyf0uj6 37 3 conclude conclude VB cord-259534-hpyf0uj6 37 4 that that IN cord-259534-hpyf0uj6 37 5 this this DT cord-259534-hpyf0uj6 37 6 strict strict JJ cord-259534-hpyf0uj6 37 7 rules rule NNS cord-259534-hpyf0uj6 37 8 and and CC cord-259534-hpyf0uj6 37 9 regulations regulation NNS cord-259534-hpyf0uj6 37 10 prevented prevent VBD cord-259534-hpyf0uj6 37 11 spread spread NN cord-259534-hpyf0uj6 37 12 of of IN cord-259534-hpyf0uj6 37 13 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 37 14 and and CC cord-259534-hpyf0uj6 37 15 hence hence RB cord-259534-hpyf0uj6 38 1 China China NNP cord-259534-hpyf0uj6 38 2 is be VBZ cord-259534-hpyf0uj6 38 3 not not RB cord-259534-hpyf0uj6 38 4 yet yet RB cord-259534-hpyf0uj6 38 5 touched touch VBN cord-259534-hpyf0uj6 38 6 the the DT cord-259534-hpyf0uj6 38 7 mark mark NN cord-259534-hpyf0uj6 38 8 100 100 CD cord-259534-hpyf0uj6 38 9 K K NNP cord-259534-hpyf0uj6 38 10 novel novel NN cord-259534-hpyf0uj6 38 11 strain strain NN cord-259534-hpyf0uj6 38 12 coronavirus coronavirus NN cord-259534-hpyf0uj6 38 13 cases case NNS cord-259534-hpyf0uj6 38 14 even even RB cord-259534-hpyf0uj6 38 15 though though IN cord-259534-hpyf0uj6 38 16 it -PRON- PRP cord-259534-hpyf0uj6 38 17 has have VBZ cord-259534-hpyf0uj6 38 18 first first JJ cord-259534-hpyf0uj6 38 19 outbreak outbreak NN cord-259534-hpyf0uj6 38 20 escalated escalate VBN cord-259534-hpyf0uj6 38 21 in in IN cord-259534-hpyf0uj6 38 22 China China NNP cord-259534-hpyf0uj6 38 23 . . . cord-259534-hpyf0uj6 39 1 Additional additional JJ cord-259534-hpyf0uj6 39 2 travel travel NN cord-259534-hpyf0uj6 39 3 restrictions restriction NNS cord-259534-hpyf0uj6 39 4 ( ( -LRB- cord-259534-hpyf0uj6 39 5 ∼ ∼ NNP cord-259534-hpyf0uj6 39 6 90 90 CD cord-259534-hpyf0uj6 39 7 % % NN cord-259534-hpyf0uj6 39 8 of of IN cord-259534-hpyf0uj6 39 9 traffic traffic NN cord-259534-hpyf0uj6 39 10 ) ) -RRB- cord-259534-hpyf0uj6 39 11 have have VBP cord-259534-hpyf0uj6 39 12 only only RB cord-259534-hpyf0uj6 39 13 a a DT cord-259534-hpyf0uj6 39 14 marginal marginal JJ cord-259534-hpyf0uj6 39 15 impact impact NN cord-259534-hpyf0uj6 39 16 when when WRB cord-259534-hpyf0uj6 39 17 combined combine VBN cord-259534-hpyf0uj6 39 18 with with IN cord-259534-hpyf0uj6 39 19 public public JJ cord-259534-hpyf0uj6 39 20 safety safety NN cord-259534-hpyf0uj6 39 21 measures measure NNS cord-259534-hpyf0uj6 39 22 and and CC cord-259534-hpyf0uj6 39 23 behavioural behavioural JJ cord-259534-hpyf0uj6 39 24 improvements improvement NNS cord-259534-hpyf0uj6 39 25 that that WDT cord-259534-hpyf0uj6 39 26 can can MD cord-259534-hpyf0uj6 39 27 promote promote VB cord-259534-hpyf0uj6 39 28 a a DT cord-259534-hpyf0uj6 39 29 substantial substantial JJ cord-259534-hpyf0uj6 39 30 reduction reduction NN cord-259534-hpyf0uj6 39 31 in in IN cord-259534-hpyf0uj6 39 32 the the DT cord-259534-hpyf0uj6 39 33 transmissibility transmissibility NN cord-259534-hpyf0uj6 39 34 of of IN cord-259534-hpyf0uj6 39 35 diseases disease NNS cord-259534-hpyf0uj6 39 36 . . . cord-259534-hpyf0uj6 40 1 The the DT cord-259534-hpyf0uj6 40 2 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 40 3 pandemic pandemic NN cord-259534-hpyf0uj6 40 4 is be VBZ cord-259534-hpyf0uj6 40 5 currently currently RB cord-259534-hpyf0uj6 40 6 causing cause VBG cord-259534-hpyf0uj6 40 7 havoc havoc NN cord-259534-hpyf0uj6 40 8 throughout throughout IN cord-259534-hpyf0uj6 40 9 the the DT cord-259534-hpyf0uj6 40 10 world world NN cord-259534-hpyf0uj6 40 11 , , , cord-259534-hpyf0uj6 40 12 handling handle VBG cord-259534-hpyf0uj6 40 13 a a DT cord-259534-hpyf0uj6 40 14 devastating devastating JJ cord-259534-hpyf0uj6 40 15 blast blast NN cord-259534-hpyf0uj6 40 16 to to IN cord-259534-hpyf0uj6 40 17 countries country NNS cord-259534-hpyf0uj6 40 18 with with IN cord-259534-hpyf0uj6 40 19 a a DT cord-259534-hpyf0uj6 40 20 few few JJ cord-259534-hpyf0uj6 40 21 of of IN cord-259534-hpyf0uj6 40 22 the the DT cord-259534-hpyf0uj6 40 23 world world NN cord-259534-hpyf0uj6 40 24 's 's POS cord-259534-hpyf0uj6 40 25 best good JJS cord-259534-hpyf0uj6 40 26 health health NN cord-259534-hpyf0uj6 40 27 services service NNS cord-259534-hpyf0uj6 40 28 . . . cord-259534-hpyf0uj6 41 1 Though though IN cord-259534-hpyf0uj6 41 2 the the DT cord-259534-hpyf0uj6 41 3 West West NNP cord-259534-hpyf0uj6 41 4 has have VBZ cord-259534-hpyf0uj6 41 5 not not RB cord-259534-hpyf0uj6 41 6 been be VBN cord-259534-hpyf0uj6 41 7 able able JJ cord-259534-hpyf0uj6 41 8 to to TO cord-259534-hpyf0uj6 41 9 handle handle VB cord-259534-hpyf0uj6 41 10 the the DT cord-259534-hpyf0uj6 41 11 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 41 12 pandemic pandemic NN cord-259534-hpyf0uj6 41 13 adequately adequately RB cord-259534-hpyf0uj6 41 14 thus thus RB cord-259534-hpyf0uj6 41 15 far far RB cord-259534-hpyf0uj6 41 16 , , , cord-259534-hpyf0uj6 41 17 China China NNP cord-259534-hpyf0uj6 41 18 , , , cord-259534-hpyf0uj6 41 19 Singapore Singapore NNP cord-259534-hpyf0uj6 41 20 , , , cord-259534-hpyf0uj6 41 21 Taiwan Taiwan NNP cord-259534-hpyf0uj6 41 22 and and CC cord-259534-hpyf0uj6 41 23 Thailand Thailand NNP cord-259534-hpyf0uj6 41 24 have have VBP cord-259534-hpyf0uj6 41 25 taught teach VBN cord-259534-hpyf0uj6 41 26 the the DT cord-259534-hpyf0uj6 41 27 world world NN cord-259534-hpyf0uj6 41 28 how how WRB cord-259534-hpyf0uj6 41 29 to to TO cord-259534-hpyf0uj6 41 30 control control VB cord-259534-hpyf0uj6 41 31 this this DT cord-259534-hpyf0uj6 41 32 extremely extremely RB cord-259534-hpyf0uj6 41 33 contagious contagious JJ cord-259534-hpyf0uj6 41 34 epidemic epidemic NN cord-259534-hpyf0uj6 41 35 . . . cord-259534-hpyf0uj6 42 1 Although although IN cord-259534-hpyf0uj6 42 2 China China NNP cord-259534-hpyf0uj6 42 3 initially initially RB cord-259534-hpyf0uj6 42 4 botched botch VBD cord-259534-hpyf0uj6 42 5 up up RP cord-259534-hpyf0uj6 42 6 , , , cord-259534-hpyf0uj6 42 7 its -PRON- PRP$ cord-259534-hpyf0uj6 42 8 answer answer NN cord-259534-hpyf0uj6 42 9 to to IN cord-259534-hpyf0uj6 42 10 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 42 11 rapidly rapidly RB cord-259534-hpyf0uj6 42 12 adapted adapt VBN cord-259534-hpyf0uj6 42 13 and and CC cord-259534-hpyf0uj6 42 14 improvised improvise VBN cord-259534-hpyf0uj6 42 15 . . . cord-259534-hpyf0uj6 43 1 Even even RB cord-259534-hpyf0uj6 43 2 when when WRB cord-259534-hpyf0uj6 43 3 their -PRON- PRP$ cord-259534-hpyf0uj6 43 4 response response NN cord-259534-hpyf0uj6 43 5 initially initially RB cord-259534-hpyf0uj6 43 6 seemed seem VBD cord-259534-hpyf0uj6 43 7 intrusive intrusive JJ cord-259534-hpyf0uj6 43 8 , , , cord-259534-hpyf0uj6 43 9 it -PRON- PRP cord-259534-hpyf0uj6 43 10 was be VBD cord-259534-hpyf0uj6 43 11 probably probably RB cord-259534-hpyf0uj6 43 12 the the DT cord-259534-hpyf0uj6 43 13 only only JJ cord-259534-hpyf0uj6 43 14 way way NN cord-259534-hpyf0uj6 43 15 left leave VBN cord-259534-hpyf0uj6 43 16 for for IN cord-259534-hpyf0uj6 43 17 the the DT cord-259534-hpyf0uj6 43 18 country country NN cord-259534-hpyf0uj6 43 19 in in IN cord-259534-hpyf0uj6 43 20 retrospect retrospect NN cord-259534-hpyf0uj6 43 21 . . . cord-259534-hpyf0uj6 44 1 Suspending suspend VBG cord-259534-hpyf0uj6 44 2 schools school NNS cord-259534-hpyf0uj6 44 3 and and CC cord-259534-hpyf0uj6 44 4 places place NNS cord-259534-hpyf0uj6 44 5 of of IN cord-259534-hpyf0uj6 44 6 employment employment NN cord-259534-hpyf0uj6 44 7 after after IN cord-259534-hpyf0uj6 44 8 January January NNP cord-259534-hpyf0uj6 44 9 26th 26th NN cord-259534-hpyf0uj6 44 10 2020 2020 CD cord-259534-hpyf0uj6 44 11 , , , cord-259534-hpyf0uj6 44 12 leading lead VBG cord-259534-hpyf0uj6 44 13 to to IN cord-259534-hpyf0uj6 44 14 a a DT cord-259534-hpyf0uj6 44 15 drastic drastic JJ cord-259534-hpyf0uj6 44 16 decline decline NN cord-259534-hpyf0uj6 44 17 in in IN cord-259534-hpyf0uj6 44 18 new new JJ cord-259534-hpyf0uj6 44 19 infections infection NNS cord-259534-hpyf0uj6 44 20 . . . cord-259534-hpyf0uj6 45 1 Continuing continue VBG cord-259534-hpyf0uj6 45 2 to to TO cord-259534-hpyf0uj6 45 3 make make VB cord-259534-hpyf0uj6 45 4 testing testing NN cord-259534-hpyf0uj6 45 5 of of IN cord-259534-hpyf0uj6 45 6 the the DT cord-259534-hpyf0uj6 45 7 coronavirus coronavirus NN cord-259534-hpyf0uj6 45 8 free free JJ cord-259534-hpyf0uj6 45 9 and and CC cord-259534-hpyf0uj6 45 10 easy easy JJ cord-259534-hpyf0uj6 45 11 to to TO cord-259534-hpyf0uj6 45 12 access access VB cord-259534-hpyf0uj6 45 13 . . . cord-259534-hpyf0uj6 46 1 Extensive extensive JJ cord-259534-hpyf0uj6 46 2 contact contact NN cord-259534-hpyf0uj6 46 3 monitoring monitoring NN cord-259534-hpyf0uj6 46 4 of of IN cord-259534-hpyf0uj6 46 5 peoples people NNS cord-259534-hpyf0uj6 46 6 who who WP cord-259534-hpyf0uj6 46 7 might may MD cord-259534-hpyf0uj6 46 8 have have VB cord-259534-hpyf0uj6 46 9 met meet VBN cord-259534-hpyf0uj6 46 10 patients patient NNS cord-259534-hpyf0uj6 46 11 with with IN cord-259534-hpyf0uj6 46 12 novel novel JJ cord-259534-hpyf0uj6 46 13 strain strain NN cord-259534-hpyf0uj6 46 14 coronavirus coronavirus NN cord-259534-hpyf0uj6 46 15 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 46 16 / / SYM cord-259534-hpyf0uj6 46 17 SARS SARS NNP cord-259534-hpyf0uj6 46 18 - - HYPH cord-259534-hpyf0uj6 46 19 CoV-2 CoV-2 NNP cord-259534-hpyf0uj6 46 20 . . . cord-259534-hpyf0uj6 47 1 Establish establish VB cord-259534-hpyf0uj6 47 2 transitional transitional JJ cord-259534-hpyf0uj6 47 3 health health NN cord-259534-hpyf0uj6 47 4 centers center NNS cord-259534-hpyf0uj6 47 5 , , , cord-259534-hpyf0uj6 47 6 and and CC cord-259534-hpyf0uj6 47 7 employ employ VBP cord-259534-hpyf0uj6 47 8 40 40 CD cord-259534-hpyf0uj6 47 9 K k NN cord-259534-hpyf0uj6 47 10 health health NN cord-259534-hpyf0uj6 47 11 care care NN cord-259534-hpyf0uj6 47 12 professionals professional NNS cord-259534-hpyf0uj6 47 13 from from IN cord-259534-hpyf0uj6 47 14 other other JJ cord-259534-hpyf0uj6 47 15 provinces province NNS cord-259534-hpyf0uj6 47 16 . . . cord-259534-hpyf0uj6 48 1 In in IN cord-259534-hpyf0uj6 48 2 time time NN cord-259534-hpyf0uj6 48 3 supply supply NN cord-259534-hpyf0uj6 48 4 of of IN cord-259534-hpyf0uj6 48 5 medical medical JJ cord-259534-hpyf0uj6 48 6 kits kit NNS cord-259534-hpyf0uj6 48 7 , , , cord-259534-hpyf0uj6 48 8 food food NN cord-259534-hpyf0uj6 48 9 and and CC cord-259534-hpyf0uj6 48 10 groceries grocery NNS cord-259534-hpyf0uj6 48 11 to to IN cord-259534-hpyf0uj6 48 12 the the DT cord-259534-hpyf0uj6 48 13 needy needy JJ cord-259534-hpyf0uj6 48 14 . . . cord-259534-hpyf0uj6 49 1 Mindfulness mindfulness NN cord-259534-hpyf0uj6 49 2 campaigns campaign NNS cord-259534-hpyf0uj6 49 3 demanding demand VBG cord-259534-hpyf0uj6 49 4 that that IN cord-259534-hpyf0uj6 49 5 people people NNS cord-259534-hpyf0uj6 49 6 always always RB cord-259534-hpyf0uj6 49 7 wear wear VBP cord-259534-hpyf0uj6 49 8 a a DT cord-259534-hpyf0uj6 49 9 mask mask NN cord-259534-hpyf0uj6 49 10 . . . cord-259534-hpyf0uj6 50 1 Implementing implement VBG cord-259534-hpyf0uj6 50 2 within within IN cord-259534-hpyf0uj6 50 3 country country NN cord-259534-hpyf0uj6 50 4 travel travel NN cord-259534-hpyf0uj6 50 5 ban ban NN cord-259534-hpyf0uj6 50 6 and and CC cord-259534-hpyf0uj6 50 7 International International NNP cord-259534-hpyf0uj6 50 8 travel travel NN cord-259534-hpyf0uj6 50 9 ban ban NN cord-259534-hpyf0uj6 50 10 . . . cord-259534-hpyf0uj6 51 1 Since since IN cord-259534-hpyf0uj6 51 2 around around IN cord-259534-hpyf0uj6 51 3 27th 27th CD cord-259534-hpyf0uj6 51 4 May,2020 may,2020 NN cord-259534-hpyf0uj6 51 5 , , , cord-259534-hpyf0uj6 51 6 the the DT cord-259534-hpyf0uj6 51 7 total total JJ cord-259534-hpyf0uj6 51 8 number number NN cord-259534-hpyf0uj6 51 9 of of IN cord-259534-hpyf0uj6 51 10 cases case NNS cord-259534-hpyf0uj6 51 11 of of IN cord-259534-hpyf0uj6 51 12 coronavirus coronavirus NN cord-259534-hpyf0uj6 51 13 in in IN cord-259534-hpyf0uj6 51 14 China China NNP cord-259534-hpyf0uj6 51 15 was be VBD cord-259534-hpyf0uj6 51 16 82,891 82,891 CD cord-259534-hpyf0uj6 51 17 and and CC cord-259534-hpyf0uj6 51 18 the the DT cord-259534-hpyf0uj6 51 19 total total JJ cord-259534-hpyf0uj6 51 20 number number NN cord-259534-hpyf0uj6 51 21 of of IN cord-259534-hpyf0uj6 51 22 deaths death NNS cord-259534-hpyf0uj6 51 23 was be VBD cord-259534-hpyf0uj6 51 24 4634 4634 CD cord-259534-hpyf0uj6 51 25 and and CC cord-259534-hpyf0uj6 51 26 its -PRON- PRP$ cord-259534-hpyf0uj6 51 27 recovery recovery NN cord-259534-hpyf0uj6 51 28 rate rate NN cord-259534-hpyf0uj6 51 29 is be VBZ cord-259534-hpyf0uj6 51 30 ∼ ∼ NNP cord-259534-hpyf0uj6 51 31 91 91 CD cord-259534-hpyf0uj6 51 32 % % NN cord-259534-hpyf0uj6 51 33 . . . cord-259534-hpyf0uj6 52 1 For for IN cord-259534-hpyf0uj6 52 2 more more JJR cord-259534-hpyf0uj6 52 3 info info NN cord-259534-hpyf0uj6 52 4 , , , cord-259534-hpyf0uj6 52 5 the the DT cord-259534-hpyf0uj6 52 6 reader reader NN cord-259534-hpyf0uj6 52 7 can can MD cord-259534-hpyf0uj6 52 8 refer refer VB cord-259534-hpyf0uj6 52 9 [ [ -LRB- cord-259534-hpyf0uj6 52 10 21 21 CD cord-259534-hpyf0uj6 52 11 ] ] -RRB- cord-259534-hpyf0uj6 52 12 . . . cord-259534-hpyf0uj6 53 1 A a DT cord-259534-hpyf0uj6 53 2 set set NN cord-259534-hpyf0uj6 53 3 of of IN cord-259534-hpyf0uj6 53 4 major major JJ cord-259534-hpyf0uj6 53 5 components component NNS cord-259534-hpyf0uj6 53 6 describe describe VBP cord-259534-hpyf0uj6 53 7 the the DT cord-259534-hpyf0uj6 53 8 trajectory trajectory NN cord-259534-hpyf0uj6 53 9 of of IN cord-259534-hpyf0uj6 53 10 an an DT cord-259534-hpyf0uj6 53 11 outbreak outbreak NN cord-259534-hpyf0uj6 53 12 , , , cord-259534-hpyf0uj6 53 13 some some DT cord-259534-hpyf0uj6 53 14 of of IN cord-259534-hpyf0uj6 53 15 which which WDT cord-259534-hpyf0uj6 53 16 actually actually RB cord-259534-hpyf0uj6 53 17 remain remain VBP cord-259534-hpyf0uj6 53 18 poorly poorly RB cord-259534-hpyf0uj6 53 19 known know VBN cord-259534-hpyf0uj6 53 20 for for IN cord-259534-hpyf0uj6 53 21 COVID-19 COVID-19 NNP cord-259534-hpyf0uj6 53 22 . . . cord-259534-hpyf0uj6 54 1 The the DT cord-259534-hpyf0uj6 54 2 standard standard JJ cord-259534-hpyf0uj6 54 3 reproduction reproduction NN cord-259534-hpyf0uj6 54 4 number(R number(r IN cord-259534-hpyf0uj6 54 5 0 0 CD cord-259534-hpyf0uj6 54 6 ) ) -RRB- cord-259534-hpyf0uj6 54 7 , , , cord-259534-hpyf0uj6 54 8 which which WDT cord-259534-hpyf0uj6 54 9 characterizes characterize VBZ cord-259534-hpyf0uj6 54 10 the the DT cord-259534-hpyf0uj6 54 11 average average JJ cord-259534-hpyf0uj6 54 12 number number NN cord-259534-hpyf0uj6 54 13 of of IN cord-259534-hpyf0uj6 54 14 associated associate VBN cord-259534-hpyf0uj6 54 15 cases case NNS cord-259534-hpyf0uj6 54 16 produced produce VBN cord-259534-hpyf0uj6 54 17 by by IN cord-259534-hpyf0uj6 54 18 one one CD cord-259534-hpyf0uj6 54 19 initial initial JJ cord-259534-hpyf0uj6 54 20 case case NN cord-259534-hpyf0uj6 54 21 where where WRB cord-259534-hpyf0uj6 54 22 the the DT cord-259534-hpyf0uj6 54 23 community community NN cord-259534-hpyf0uj6 54 24 is be VBZ cord-259534-hpyf0uj6 54 25 large large JJ cord-259534-hpyf0uj6 54 26 part part NN cord-259534-hpyf0uj6 54 27 susceptible susceptible JJ cord-259534-hpyf0uj6 54 28 to to IN cord-259534-hpyf0uj6 54 29 infection infection NN cord-259534-hpyf0uj6 54 30 , , , cord-259534-hpyf0uj6 54 31 helps help VBZ cord-259534-hpyf0uj6 54 32 determine determine VB cord-259534-hpyf0uj6 54 33 the the DT cord-259534-hpyf0uj6 54 34 total total JJ cord-259534-hpyf0uj6 54 35 number number NN cord-259534-hpyf0uj6 54 36 of of IN cord-259534-hpyf0uj6 54 37 people people NNS cord-259534-hpyf0uj6 54 38 likely likely JJ cord-259534-hpyf0uj6 54 39 to to TO cord-259534-hpyf0uj6 54 40 be be VB cord-259534-hpyf0uj6 54 41 contaminated contaminate VBN cord-259534-hpyf0uj6 54 42 or or CC cord-259534-hpyf0uj6 54 43 , , , cord-259534-hpyf0uj6 54 44 more more RBR cord-259534-hpyf0uj6 54 45 exactly exactly RB cord-259534-hpyf0uj6 54 46 , , , cord-259534-hpyf0uj6 54 47 the the DT cord-259534-hpyf0uj6 54 48 region region NN cord-259534-hpyf0uj6 54 49 under under IN cord-259534-hpyf0uj6 54 50 the the DT cord-259534-hpyf0uj6 54 51 outbreak outbreak NN cord-259534-hpyf0uj6 54 52 trajectory trajectory NN cord-259534-hpyf0uj6 54 53 . . . cord-259534-hpyf0uj6 55 1 The the DT cord-259534-hpyf0uj6 55 2 importance importance NN cord-259534-hpyf0uj6 55 3 of of IN cord-259534-hpyf0uj6 55 4 R r NN cord-259534-hpyf0uj6 55 5 0 0 CD cord-259534-hpyf0uj6 55 6 must must MD cord-259534-hpyf0uj6 55 7 be be VB cord-259534-hpyf0uj6 55 8 greater great JJR cord-259534-hpyf0uj6 55 9 than than IN cord-259534-hpyf0uj6 55 10 equality equality NN cord-259534-hpyf0uj6 55 11 in in IN cord-259534-hpyf0uj6 55 12 meaning meaning NN cord-259534-hpyf0uj6 55 13 for for IN cord-259534-hpyf0uj6 55 14 an an DT cord-259534-hpyf0uj6 55 15 outbreak outbreak NN cord-259534-hpyf0uj6 55 16 to to TO cord-259534-hpyf0uj6 55 17 take take VB cord-259534-hpyf0uj6 55 18 hold hold NN cord-259534-hpyf0uj6 55 19 . . . cord-259534-hpyf0uj6 56 1 A a DT cord-259534-hpyf0uj6 56 2 straightforward straightforward JJ cord-259534-hpyf0uj6 56 3 estimate estimate NN cord-259534-hpyf0uj6 56 4 provides provide VBZ cord-259534-hpyf0uj6 56 5 the the DT cord-259534-hpyf0uj6 56 6 fraction fraction NN cord-259534-hpyf0uj6 56 7 without without IN cord-259534-hpyf0uj6 56 8 containment containment NN cord-259534-hpyf0uj6 56 9 likely likely JJ cord-259534-hpyf0uj6 56 10 to to TO cord-259534-hpyf0uj6 56 11 get get VB cord-259534-hpyf0uj6 56 12 infected infect VBN cord-259534-hpyf0uj6 56 13 . . . cord-259534-hpyf0uj6 57 1 The the DT cord-259534-hpyf0uj6 57 2 fraction fraction NN cord-259534-hpyf0uj6 57 3 is be VBZ cord-259534-hpyf0uj6 57 4 around around RB cord-259534-hpyf0uj6 58 1 In in IN cord-259534-hpyf0uj6 58 2 China China NNP cord-259534-hpyf0uj6 58 3 , , , cord-259534-hpyf0uj6 58 4 COVID-19 covid-19 VBP cord-259534-hpyf0uj6 58 5 about about RB cord-259534-hpyf0uj6 58 6 2.5 2.5 CD cord-259534-hpyf0uj6 58 7 in in IN cord-259534-hpyf0uj6 58 8 the the DT cord-259534-hpyf0uj6 58 9 early early JJ cord-259534-hpyf0uj6 58 10 stages stage NNS cord-259534-hpyf0uj6 58 11 of of IN cord-259534-hpyf0uj6 58 12 the the DT cord-259534-hpyf0uj6 58 13 disease disease NN cord-259534-hpyf0uj6 58 14 , , , cord-259534-hpyf0uj6 58 15 and and CC cord-259534-hpyf0uj6 58 16 estimated estimate VBD cord-259534-hpyf0uj6 58 17 that that IN cord-259534-hpyf0uj6 58 18 around around IN cord-259534-hpyf0uj6 58 19 60 60 CD cord-259534-hpyf0uj6 58 20 % % NN cord-259534-hpyf0uj6 58 21 of of IN cord-259534-hpyf0uj6 58 22 the the DT cord-259534-hpyf0uj6 58 23 population population NN cord-259534-hpyf0uj6 58 24 will will MD cord-259534-hpyf0uj6 58 25 become become VB cord-259534-hpyf0uj6 58 26 contaminated contaminate VBN cord-259534-hpyf0uj6 58 27 . . . cord-259534-hpyf0uj6 59 1 For for IN cord-259534-hpyf0uj6 59 2 a a DT cord-259534-hpyf0uj6 59 3 variety variety NN cord-259534-hpyf0uj6 59 4 of of IN cord-259534-hpyf0uj6 59 5 factors factor NNS cord-259534-hpyf0uj6 59 6 , , , cord-259534-hpyf0uj6 59 7 that that DT cord-259534-hpyf0uj6 59 8 's be VBZ cord-259534-hpyf0uj6 59 9 a a DT cord-259534-hpyf0uj6 59 10 really really RB cord-259534-hpyf0uj6 59 11 bad bad JJ cord-259534-hpyf0uj6 59 12 case case NN cord-259534-hpyf0uj6 59 13 situation situation NN cord-259534-hpyf0uj6 59 14 . . . cord-259534-hpyf0uj6 60 1 We -PRON- PRP cord-259534-hpyf0uj6 60 2 're be VBP cord-259534-hpyf0uj6 60 3 uncertain uncertain JJ cord-259534-hpyf0uj6 60 4 about about IN cord-259534-hpyf0uj6 60 5 infant infant NN cord-259534-hpyf0uj6 60 6 transfer transfer NN cord-259534-hpyf0uj6 60 7 , , , cord-259534-hpyf0uj6 60 8 several several JJ cord-259534-hpyf0uj6 60 9 societies society NNS cord-259534-hpyf0uj6 60 10 are be VBP cord-259534-hpyf0uj6 60 11 voluntary voluntary JJ cord-259534-hpyf0uj6 60 12 social social JJ cord-259534-hpyf0uj6 60 13 distancing distancing NN cord-259534-hpyf0uj6 60 14 by by IN cord-259534-hpyf0uj6 60 15 persons person NNS cord-259534-hpyf0uj6 60 16 and and CC cord-259534-hpyf0uj6 60 17 groups group NNS cord-259534-hpyf0uj6 60 18 would would MD cord-259534-hpyf0uj6 60 19 have have VB cord-259534-hpyf0uj6 60 20 an an DT cord-259534-hpyf0uj6 60 21 effect effect NN cord-259534-hpyf0uj6 60 22 internally internally RB cord-259534-hpyf0uj6 60 23 and and CC cord-259534-hpyf0uj6 60 24 unlikely unlikely JJ cord-259534-hpyf0uj6 60 25 to to TO cord-259534-hpyf0uj6 60 26 be be VB cord-259534-hpyf0uj6 60 27 revealed reveal VBN cord-259534-hpyf0uj6 60 28 , , , cord-259534-hpyf0uj6 60 29 and and CC cord-259534-hpyf0uj6 60 30 preventive preventive JJ cord-259534-hpyf0uj6 60 31 initiatives initiative NNS cord-259534-hpyf0uj6 60 32 , , , cord-259534-hpyf0uj6 60 33 such such JJ cord-259534-hpyf0uj6 60 34 as as IN cord-259534-hpyf0uj6 60 35 the the DT cord-259534-hpyf0uj6 60 36 steps step NNS cord-259534-hpyf0uj6 60 37 placed place VBN cord-259534-hpyf0uj6 60 38 in in IN cord-259534-hpyf0uj6 60 39 China China NNP cord-259534-hpyf0uj6 60 40 , , , cord-259534-hpyf0uj6 60 41 would would MD cord-259534-hpyf0uj6 60 42 significantly significantly RB cord-259534-hpyf0uj6 60 43 minimize minimize VB cord-259534-hpyf0uj6 60 44 transmission transmission NN cord-259534-hpyf0uj6 60 45 . . . cord-259534-hpyf0uj6 61 1 As as IN cord-259534-hpyf0uj6 61 2 an an DT cord-259534-hpyf0uj6 61 3 outbreak outbreak NN cord-259534-hpyf0uj6 61 4 develops develop VBZ cord-259534-hpyf0uj6 61 5 , , , cord-259534-hpyf0uj6 61 6 the the DT cord-259534-hpyf0uj6 61 7 cumulative cumulative JJ cord-259534-hpyf0uj6 61 8 reproduction reproduction NN cord-259534-hpyf0uj6 61 9 number(R number(r IN cord-259534-hpyf0uj6 61 10 0 0 CD cord-259534-hpyf0uj6 61 11 ) ) -RRB- cord-259534-hpyf0uj6 61 12 drops drop VBZ cord-259534-hpyf0uj6 61 13 until until IN cord-259534-hpyf0uj6 61 14 it -PRON- PRP cord-259534-hpyf0uj6 61 15 falls fall VBZ cord-259534-hpyf0uj6 61 16 under under IN cord-259534-hpyf0uj6 61 17 equilibrium equilibrium NN cord-259534-hpyf0uj6 61 18 in in IN cord-259534-hpyf0uj6 61 19 value value NN cord-259534-hpyf0uj6 61 20 as as IN cord-259534-hpyf0uj6 61 21 the the DT cord-259534-hpyf0uj6 61 22 disease disease NN cord-259534-hpyf0uj6 61 23 occurs occur VBZ cord-259534-hpyf0uj6 61 24 and and CC cord-259534-hpyf0uj6 61 25 then then RB cord-259534-hpyf0uj6 61 26 declines decline VBZ cord-259534-hpyf0uj6 61 27 , , , cord-259534-hpyf0uj6 61 28 either either CC cord-259534-hpyf0uj6 61 29 due due IN cord-259534-hpyf0uj6 61 30 to to IN cord-259534-hpyf0uj6 61 31 the the DT cord-259534-hpyf0uj6 61 32 depletion depletion NN cord-259534-hpyf0uj6 61 33 of of IN cord-259534-hpyf0uj6 61 34 individuals individual NNS cord-259534-hpyf0uj6 61 35 susceptible susceptible JJ cord-259534-hpyf0uj6 61 36 to to IN cord-259534-hpyf0uj6 61 37 contamination contamination NN cord-259534-hpyf0uj6 61 38 or or CC cord-259534-hpyf0uj6 61 39 the the DT cord-259534-hpyf0uj6 61 40 impact impact NN cord-259534-hpyf0uj6 61 41 of of IN cord-259534-hpyf0uj6 61 42 prevention prevention NN cord-259534-hpyf0uj6 61 43 steps step NNS cord-259534-hpyf0uj6 61 44 . . . cord-259534-hpyf0uj6 62 1 The the DT cord-259534-hpyf0uj6 62 2 rate rate NN cord-259534-hpyf0uj6 62 3 of of IN cord-259534-hpyf0uj6 62 4 the the DT cord-259534-hpyf0uj6 62 5 preliminary preliminary JJ cord-259534-hpyf0uj6 62 6 progression progression NN cord-259534-hpyf0uj6 62 7 of of IN cord-259534-hpyf0uj6 62 8 the the DT cord-259534-hpyf0uj6 62 9 disease disease NN cord-259534-hpyf0uj6 62 10 , , , cord-259534-hpyf0uj6 62 11 its -PRON- PRP$ cord-259534-hpyf0uj6 62 12 subsequent subsequent JJ cord-259534-hpyf0uj6 62 13 improvement improvement NN cord-259534-hpyf0uj6 62 14 , , , cord-259534-hpyf0uj6 62 15 or or CC cord-259534-hpyf0uj6 62 16 the the DT cord-259534-hpyf0uj6 62 17 associated associate VBN cord-259534-hpyf0uj6 62 18 sequential sequential JJ cord-259534-hpyf0uj6 62 19 period period NN cord-259534-hpyf0uj6 62 20 ( ( -LRB- cord-259534-hpyf0uj6 62 21 the the DT cord-259534-hpyf0uj6 62 22 duration duration NN cord-259534-hpyf0uj6 62 23 it -PRON- PRP cord-259534-hpyf0uj6 62 24 takes take VBZ cord-259534-hpyf0uj6 62 25 for for IN cord-259534-hpyf0uj6 62 26 an an DT cord-259534-hpyf0uj6 62 27 infectious infectious JJ cord-259534-hpyf0uj6 62 28 person person NN cord-259534-hpyf0uj6 62 29 to to TO cord-259534-hpyf0uj6 62 30 transmit transmit VB cord-259534-hpyf0uj6 62 31 the the DT cord-259534-hpyf0uj6 62 32 Infection infection NN cord-259534-hpyf0uj6 62 33 with with IN cord-259534-hpyf0uj6 62 34 others other NNS cord-259534-hpyf0uj6 62 35 ) ) -RRB- cord-259534-hpyf0uj6 62 36 and and CC cord-259534-hpyf0uj6 62 37 the the DT cord-259534-hpyf0uj6 62 38 possible possible JJ cord-259534-hpyf0uj6 62 39 length length NN cord-259534-hpyf0uj6 62 40 of of IN cord-259534-hpyf0uj6 62 41 the the DT cord-259534-hpyf0uj6 62 42 outbreak outbreak NN cord-259534-hpyf0uj6 62 43 are be VBP cord-259534-hpyf0uj6 62 44 calculated calculate VBN cord-259534-hpyf0uj6 62 45 by by IN cord-259534-hpyf0uj6 62 46 variables variable NNS cord-259534-hpyf0uj6 62 47 such such JJ cord-259534-hpyf0uj6 62 48 as as IN cord-259534-hpyf0uj6 62 49 the the DT cord-259534-hpyf0uj6 62 50 period period NN cord-259534-hpyf0uj6 62 51 of of IN cord-259534-hpyf0uj6 62 52 the the DT cord-259534-hpyf0uj6 62 53 infection infection NN cord-259534-hpyf0uj6 62 54 , , , cord-259534-hpyf0uj6 62 55 and and CC cord-259534-hpyf0uj6 62 56 the the DT cord-259534-hpyf0uj6 62 57 mean mean JJ cord-259534-hpyf0uj6 62 58 contagious contagious JJ cord-259534-hpyf0uj6 62 59 period period NN cord-259534-hpyf0uj6 62 60 . . . cord-259534-hpyf0uj6 63 1 A a DT cord-259534-hpyf0uj6 63 2 new new JJ cord-259534-hpyf0uj6 63 3 study study NN cord-259534-hpyf0uj6 63 4 [ [ -LRB- cord-259534-hpyf0uj6 63 5 22 22 CD cord-259534-hpyf0uj6 63 6 ] ] -RRB- cord-259534-hpyf0uj6 63 7 indicates indicate VBZ cord-259534-hpyf0uj6 63 8 that that IN cord-259534-hpyf0uj6 63 9 the the DT cord-259534-hpyf0uj6 63 10 R r NN cord-259534-hpyf0uj6 63 11 0 0 CD cord-259534-hpyf0uj6 63 12 of of IN cord-259534-hpyf0uj6 63 13 extreme extreme JJ cord-259534-hpyf0uj6 63 14 acute acute JJ cord-259534-hpyf0uj6 63 15 respiratory respiratory JJ cord-259534-hpyf0uj6 63 16 coronavirus coronavirus NN cord-259534-hpyf0uj6 63 17 syndrome syndrome NN cord-259534-hpyf0uj6 63 18 ( ( -LRB- cord-259534-hpyf0uj6 63 19 SARS SARS NNP cord-259534-hpyf0uj6 63 20 - - HYPH cord-259534-hpyf0uj6 63 21 CoV-2 CoV-2 NNP cord-259534-hpyf0uj6 63 22 ) ) -RRB- cord-259534-hpyf0uj6 63 23 could could MD cord-259534-hpyf0uj6 63 24 be be VB cord-259534-hpyf0uj6 63 25 as as RB cord-259534-hpyf0uj6 63 26 high high JJ cord-259534-hpyf0uj6 63 27 as as IN cord-259534-hpyf0uj6 63 28 5.7 5.7 CD cord-259534-hpyf0uj6 63 29 , , , cord-259534-hpyf0uj6 63 30 up up RB cord-259534-hpyf0uj6 63 31 from from IN cord-259534-hpyf0uj6 63 32 the the DT cord-259534-hpyf0uj6 63 33 original original JJ cord-259534-hpyf0uj6 63 34 estimate estimate NN cord-259534-hpyf0uj6 63 35 R r NN cord-259534-hpyf0uj6 63 36 0 0 CD cord-259534-hpyf0uj6 63 37 of of IN cord-259534-hpyf0uj6 63 38 2.28 2.28 CD cord-259534-hpyf0uj6 63 39 ( ( -LRB- cord-259534-hpyf0uj6 63 40 according accord VBG cord-259534-hpyf0uj6 63 41 to to IN cord-259534-hpyf0uj6 63 42 [ [ -LRB- cord-259534-hpyf0uj6 63 43 23 23 CD cord-259534-hpyf0uj6 63 44 ] ] -RRB- cord-259534-hpyf0uj6 63 45 ) ) -RRB- cord-259534-hpyf0uj6 63 46 . . . cord-259534-hpyf0uj6 64 1 These these DT cord-259534-hpyf0uj6 64 2 studies study NNS cord-259534-hpyf0uj6 64 3 often often RB cord-259534-hpyf0uj6 64 4 tend tend VBP cord-259534-hpyf0uj6 64 5 to to TO cord-259534-hpyf0uj6 64 6 presume presume VB cord-259534-hpyf0uj6 64 7 uniform uniform JJ cord-259534-hpyf0uj6 64 8 pathogenicity pathogenicity NN cord-259534-hpyf0uj6 64 9 and and CC cord-259534-hpyf0uj6 64 10 virus virus NN cord-259534-hpyf0uj6 64 11 propagation propagation NN cord-259534-hpyf0uj6 64 12 over over IN cord-259534-hpyf0uj6 64 13 time time NN cord-259534-hpyf0uj6 64 14 , , , cord-259534-hpyf0uj6 64 15 and and CC cord-259534-hpyf0uj6 64 16 do do VBP cord-259534-hpyf0uj6 64 17 not not RB cord-259534-hpyf0uj6 64 18 account account VB cord-259534-hpyf0uj6 64 19 for for IN cord-259534-hpyf0uj6 64 20 virus virus NN cord-259534-hpyf0uj6 64 21 mutation mutation NN cord-259534-hpyf0uj6 64 22 either either CC cord-259534-hpyf0uj6 64 23 to to IN cord-259534-hpyf0uj6 64 24 or or CC cord-259534-hpyf0uj6 64 25 away away RB cord-259534-hpyf0uj6 64 26 from from IN cord-259534-hpyf0uj6 64 27 a a DT cord-259534-hpyf0uj6 64 28 more more RBR cord-259534-hpyf0uj6 64 29 virulent virulent JJ cord-259534-hpyf0uj6 64 30 strain strain NN cord-259534-hpyf0uj6 64 31 . . . cord-259534-hpyf0uj6 65 1 : : : cord-259534-hpyf0uj6 65 2 expanding expand VBG cord-259534-hpyf0uj6 65 3 worries worry NNS cord-259534-hpyf0uj6 65 4 about about IN cord-259534-hpyf0uj6 65 5 natural natural JJ cord-259534-hpyf0uj6 65 6 psychological psychological JJ cord-259534-hpyf0uj6 65 7 warfare warfare NN cord-259534-hpyf0uj6 65 8 and/or and/or CC cord-259534-hpyf0uj6 65 9 increasing increase VBG cord-259534-hpyf0uj6 65 10 concerns concern NNS cord-259534-hpyf0uj6 65 11 about about IN cord-259534-hpyf0uj6 65 12 biological biological JJ cord-259534-hpyf0uj6 65 13 violence violence NN cord-259534-hpyf0uj6 65 14 , , , cord-259534-hpyf0uj6 65 15 epidemic epidemic NN cord-259534-hpyf0uj6 65 16 modelling modelling NN cord-259534-hpyf0uj6 65 17 has have VBZ cord-259534-hpyf0uj6 65 18 taken take VBN cord-259534-hpyf0uj6 65 19 on on RP cord-259534-hpyf0uj6 65 20 a a DT cord-259534-hpyf0uj6 65 21 much much RB cord-259534-hpyf0uj6 65 22 important important JJ cord-259534-hpyf0uj6 65 23 to to TO cord-259534-hpyf0uj6 65 24 be be VB cord-259534-hpyf0uj6 65 25 worthy worthy JJ cord-259534-hpyf0uj6 65 26 of of IN cord-259534-hpyf0uj6 65 27 role role NN cord-259534-hpyf0uj6 65 28 for for IN cord-259534-hpyf0uj6 65 29 strategy strategy NN cord-259534-hpyf0uj6 65 30 making make VBG cord-259534-hpyf0uj6 65 31 from from IN cord-259534-hpyf0uj6 65 32 a a DT cord-259534-hpyf0uj6 65 33 public public JJ cord-259534-hpyf0uj6 65 34 health health NN cord-259534-hpyf0uj6 65 35 viewpoint viewpoint NN cord-259534-hpyf0uj6 65 36 . . . cord-259534-hpyf0uj6 66 1 Mathematical mathematical JJ cord-259534-hpyf0uj6 66 2 and/or and/or CC cord-259534-hpyf0uj6 66 3 scientific scientific JJ cord-259534-hpyf0uj6 66 4 models model NNS cord-259534-hpyf0uj6 66 5 of of IN cord-259534-hpyf0uj6 66 6 infectious infectious JJ cord-259534-hpyf0uj6 66 7 diseases disease NNS cord-259534-hpyf0uj6 66 8 can can MD cord-259534-hpyf0uj6 66 9 help help VB cord-259534-hpyf0uj6 66 10 us -PRON- PRP cord-259534-hpyf0uj6 66 11 to to TO cord-259534-hpyf0uj6 66 12 interpret interpret VB cord-259534-hpyf0uj6 66 13 disease disease NN cord-259534-hpyf0uj6 66 14 dynamics dynamic NNS cord-259534-hpyf0uj6 66 15 and and CC cord-259534-hpyf0uj6 66 16 transmission transmission NN cord-259534-hpyf0uj6 66 17 rate rate NN cord-259534-hpyf0uj6 66 18 . . . cord-259534-hpyf0uj6 67 1 Models model NNS cord-259534-hpyf0uj6 67 2 also also RB cord-259534-hpyf0uj6 67 3 allow allow VBP cord-259534-hpyf0uj6 67 4 us -PRON- PRP cord-259534-hpyf0uj6 67 5 to to TO cord-259534-hpyf0uj6 67 6 permit permit VB cord-259534-hpyf0uj6 67 7 us -PRON- PRP cord-259534-hpyf0uj6 67 8 to to TO cord-259534-hpyf0uj6 67 9 re re VB cord-259534-hpyf0uj6 67 10 - - VB cord-259534-hpyf0uj6 67 11 enact enact VB cord-259534-hpyf0uj6 67 12 the the DT cord-259534-hpyf0uj6 67 13 spread spread NN cord-259534-hpyf0uj6 67 14 of of IN cord-259534-hpyf0uj6 67 15 diseases disease NNS cord-259534-hpyf0uj6 67 16 in in IN cord-259534-hpyf0uj6 67 17 various various JJ cord-259534-hpyf0uj6 67 18 prospects prospect NNS cord-259534-hpyf0uj6 67 19 and and CC cord-259534-hpyf0uj6 67 20 aspects aspect NNS cord-259534-hpyf0uj6 67 21 in in IN cord-259534-hpyf0uj6 67 22 order order NN cord-259534-hpyf0uj6 67 23 to to TO cord-259534-hpyf0uj6 67 24 develop develop VB cord-259534-hpyf0uj6 67 25 and and CC cord-259534-hpyf0uj6 67 26 assess assess VB cord-259534-hpyf0uj6 67 27 various various JJ cord-259534-hpyf0uj6 67 28 intervention intervention NN cord-259534-hpyf0uj6 67 29 methodologies methodology NNS cord-259534-hpyf0uj6 67 30 to to TO cord-259534-hpyf0uj6 67 31 forestall forestall VB cord-259534-hpyf0uj6 67 32 or or CC cord-259534-hpyf0uj6 67 33 enhance enhance VB cord-259534-hpyf0uj6 67 34 contaminations contamination NNS cord-259534-hpyf0uj6 67 35 and and CC cord-259534-hpyf0uj6 67 36 better well JJR cord-259534-hpyf0uj6 67 37 allot allot NN cord-259534-hpyf0uj6 67 38 accessible accessible JJ cord-259534-hpyf0uj6 67 39 resources resource NNS cord-259534-hpyf0uj6 67 40 ( ( -LRB- cord-259534-hpyf0uj6 67 41 for for IN cord-259534-hpyf0uj6 67 42 example example NN cord-259534-hpyf0uj6 67 43 , , , cord-259534-hpyf0uj6 67 44 choosing choose VBG cord-259534-hpyf0uj6 67 45 the the DT cord-259534-hpyf0uj6 67 46 target target NN cord-259534-hpyf0uj6 67 47 population population NN cord-259534-hpyf0uj6 67 48 , , , cord-259534-hpyf0uj6 67 49 time time NN cord-259534-hpyf0uj6 67 50 for for IN cord-259534-hpyf0uj6 67 51 intervention intervention NN cord-259534-hpyf0uj6 67 52 and and CC cord-259534-hpyf0uj6 67 53 the the DT cord-259534-hpyf0uj6 67 54 location location NN cord-259534-hpyf0uj6 67 55 ) ) -RRB- cord-259534-hpyf0uj6 67 56 . . . cord-259534-hpyf0uj6 68 1 Predictive predictive JJ cord-259534-hpyf0uj6 68 2 mathematical mathematical JJ cord-259534-hpyf0uj6 68 3 models model NNS cord-259534-hpyf0uj6 68 4 are be VBP cord-259534-hpyf0uj6 68 5 important important JJ cord-259534-hpyf0uj6 68 6 for for IN cord-259534-hpyf0uj6 68 7 predicting predict VBG cord-259534-hpyf0uj6 68 8 the the DT cord-259534-hpyf0uj6 68 9 progression progression NN cord-259534-hpyf0uj6 68 10 of of IN cord-259534-hpyf0uj6 68 11 the the DT cord-259534-hpyf0uj6 68 12 outbreak outbreak NN cord-259534-hpyf0uj6 68 13 and and CC cord-259534-hpyf0uj6 68 14 for for IN cord-259534-hpyf0uj6 68 15 preparing prepare VBG cord-259534-hpyf0uj6 68 16 successful successful JJ cord-259534-hpyf0uj6 68 17 response response NN cord-259534-hpyf0uj6 68 18 strategies strategy NNS cord-259534-hpyf0uj6 68 19 . . . cord-259534-hpyf0uj6 69 1 The the DT cord-259534-hpyf0uj6 69 2 human human NN cord-259534-hpyf0uj6 69 3 - - HYPH cord-259534-hpyf0uj6 69 4 to to IN cord-259534-hpyf0uj6 69 5 - - HYPH cord-259534-hpyf0uj6 69 6 human human JJ cord-259534-hpyf0uj6 69 7 transmission transmission NN cord-259534-hpyf0uj6 69 8 SIR SIR NNP cord-259534-hpyf0uj6 69 9 model model NN cord-259534-hpyf0uj6 69 10 , , , cord-259534-hpyf0uj6 69 11 which which WDT cord-259534-hpyf0uj6 69 12 defines define VBZ cord-259534-hpyf0uj6 69 13 people people NNS cord-259534-hpyf0uj6 69 14 's 's POS cord-259534-hpyf0uj6 69 15 movement movement NN cord-259534-hpyf0uj6 69 16 across across IN cord-259534-hpyf0uj6 69 17 three three CD cord-259534-hpyf0uj6 69 18 mutually mutually RB cord-259534-hpyf0uj6 69 19 incompatible incompatible JJ cord-259534-hpyf0uj6 69 20 periods period NNS cord-259534-hpyf0uj6 69 21 of of IN cord-259534-hpyf0uj6 69 22 infection infection NN cord-259534-hpyf0uj6 69 23 : : : cord-259534-hpyf0uj6 69 24 susceptible susceptible JJ cord-259534-hpyf0uj6 69 25 , , , cord-259534-hpyf0uj6 69 26 infected infected JJ cord-259534-hpyf0uj6 69 27 , , , cord-259534-hpyf0uj6 69 28 and and CC cord-259534-hpyf0uj6 69 29 recovered recover VBD cord-259534-hpyf0uj6 69 30 . . . cord-259534-hpyf0uj6 70 1 More More JJR cord-259534-hpyf0uj6 70 2 complex complex JJ cord-259534-hpyf0uj6 70 3 models model NNS cord-259534-hpyf0uj6 70 4 can can MD cord-259534-hpyf0uj6 70 5 depict depict VB cord-259534-hpyf0uj6 70 6 precisely precisely RB cord-259534-hpyf0uj6 70 7 the the DT cord-259534-hpyf0uj6 70 8 diverse diverse JJ cord-259534-hpyf0uj6 70 9 propagation propagation NN cord-259534-hpyf0uj6 70 10 of of IN cord-259534-hpyf0uj6 70 11 particular particular JJ cord-259534-hpyf0uj6 70 12 infectious infectious JJ cord-259534-hpyf0uj6 70 13 diseases disease NNS cord-259534-hpyf0uj6 70 14 . . . cord-259534-hpyf0uj6 71 1 Several several JJ cord-259534-hpyf0uj6 71 2 models model NNS cord-259534-hpyf0uj6 71 3 had have VBD cord-259534-hpyf0uj6 71 4 been be VBN cord-259534-hpyf0uj6 71 5 developed develop VBN cord-259534-hpyf0uj6 71 6 for for IN cord-259534-hpyf0uj6 71 7 the the DT cord-259534-hpyf0uj6 71 8 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 71 9 pandemic pandemic NN cord-259534-hpyf0uj6 71 10 . . . cord-259534-hpyf0uj6 72 1 Another another DT cord-259534-hpyf0uj6 72 2 widely widely RB cord-259534-hpyf0uj6 72 3 applied apply VBN cord-259534-hpyf0uj6 72 4 framework framework NN cord-259534-hpyf0uj6 72 5 is be VBZ cord-259534-hpyf0uj6 72 6 : : : cord-259534-hpyf0uj6 73 1 Lin Lin NNP cord-259534-hpyf0uj6 73 2 et et NNP cord-259534-hpyf0uj6 73 3 al al NNP cord-259534-hpyf0uj6 73 4 . . NNP cord-259534-hpyf0uj6 73 5 , , , cord-259534-hpyf0uj6 73 6 extended extend VBD cord-259534-hpyf0uj6 73 7 an an DT cord-259534-hpyf0uj6 73 8 SEIR seir NN cord-259534-hpyf0uj6 73 9 model model NN cord-259534-hpyf0uj6 73 10 ( ( -LRB- cord-259534-hpyf0uj6 73 11 susceptible susceptible JJ cord-259534-hpyf0uj6 73 12 , , , cord-259534-hpyf0uj6 73 13 exposed expose VBN cord-259534-hpyf0uj6 73 14 , , , cord-259534-hpyf0uj6 73 15 infectious infectious JJ cord-259534-hpyf0uj6 73 16 , , , cord-259534-hpyf0uj6 73 17 removed remove VBN cord-259534-hpyf0uj6 73 18 ) ) -RRB- cord-259534-hpyf0uj6 73 19 , , , cord-259534-hpyf0uj6 73 20 taking take VBG cord-259534-hpyf0uj6 73 21 into into IN cord-259534-hpyf0uj6 73 22 account account NN cord-259534-hpyf0uj6 73 23 the the DT cord-259534-hpyf0uj6 73 24 understanding understanding NN cord-259534-hpyf0uj6 73 25 of of IN cord-259534-hpyf0uj6 73 26 threat threat NN cord-259534-hpyf0uj6 73 27 and and CC cord-259534-hpyf0uj6 73 28 the the DT cord-259534-hpyf0uj6 73 29 cumulative cumulative JJ cord-259534-hpyf0uj6 73 30 number number NN cord-259534-hpyf0uj6 73 31 of of IN cord-259534-hpyf0uj6 73 32 cases case NNS cord-259534-hpyf0uj6 73 33 . . . cord-259534-hpyf0uj6 74 1 Now now RB cord-259534-hpyf0uj6 74 2 , , , cord-259534-hpyf0uj6 74 3 it -PRON- PRP cord-259534-hpyf0uj6 74 4 is be VBZ cord-259534-hpyf0uj6 74 5 worthy worthy JJ cord-259534-hpyf0uj6 74 6 to to TO cord-259534-hpyf0uj6 74 7 mention mention VB cord-259534-hpyf0uj6 74 8 that that IN cord-259534-hpyf0uj6 74 9 some some DT cord-259534-hpyf0uj6 74 10 recent recent JJ cord-259534-hpyf0uj6 74 11 developments development NNS cord-259534-hpyf0uj6 74 12 in in IN cord-259534-hpyf0uj6 74 13 mathematical mathematical JJ cord-259534-hpyf0uj6 74 14 models model NNS cord-259534-hpyf0uj6 74 15 pertinent pertinent JJ cord-259534-hpyf0uj6 74 16 to to IN cord-259534-hpyf0uj6 74 17 the the DT cord-259534-hpyf0uj6 74 18 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 74 19 : : SYM cord-259534-hpyf0uj6 74 20 ❼ ❼ CD cord-259534-hpyf0uj6 75 1 Altaf Altaf NNP cord-259534-hpyf0uj6 75 2 and and CC cord-259534-hpyf0uj6 75 3 Atangana Atangana NNP cord-259534-hpyf0uj6 76 1 [ [ -LRB- cord-259534-hpyf0uj6 76 2 4 4 CD cord-259534-hpyf0uj6 76 3 ] ] -RRB- cord-259534-hpyf0uj6 76 4 suggested suggest VBD cord-259534-hpyf0uj6 76 5 a a DT cord-259534-hpyf0uj6 76 6 mathematical mathematical JJ cord-259534-hpyf0uj6 76 7 model model NN cord-259534-hpyf0uj6 76 8 of of IN cord-259534-hpyf0uj6 76 9 type type NN cord-259534-hpyf0uj6 76 10 SEIARM SEIARM NNP cord-259534-hpyf0uj6 76 11 and and CC cord-259534-hpyf0uj6 76 12 it -PRON- PRP cord-259534-hpyf0uj6 76 13 is be VBZ cord-259534-hpyf0uj6 76 14 able able JJ cord-259534-hpyf0uj6 76 15 to to TO cord-259534-hpyf0uj6 76 16 depict depict VB cord-259534-hpyf0uj6 76 17 the the DT cord-259534-hpyf0uj6 76 18 spread spread NN cord-259534-hpyf0uj6 76 19 of of IN cord-259534-hpyf0uj6 76 20 the the DT cord-259534-hpyf0uj6 76 21 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 76 22 as as IN cord-259534-hpyf0uj6 76 23 follows follow VBZ cord-259534-hpyf0uj6 76 24 : : : cord-259534-hpyf0uj6 77 1 More more RBR cord-259534-hpyf0uj6 77 2 importantly importantly RB cord-259534-hpyf0uj6 77 3 they -PRON- PRP cord-259534-hpyf0uj6 77 4 suggested suggest VBD cord-259534-hpyf0uj6 77 5 using use VBG cord-259534-hpyf0uj6 77 6 some some DT cord-259534-hpyf0uj6 77 7 collected collect VBN cord-259534-hpyf0uj6 77 8 data datum NNS cord-259534-hpyf0uj6 77 9 a a DT cord-259534-hpyf0uj6 77 10 reproductive reproductive JJ cord-259534-hpyf0uj6 77 11 number(R number(r XX cord-259534-hpyf0uj6 77 12 0 0 CD cord-259534-hpyf0uj6 77 13 ) ) -RRB- cord-259534-hpyf0uj6 77 14 about about IN cord-259534-hpyf0uj6 77 15 2.4 2.4 CD cord-259534-hpyf0uj6 77 16 , , , cord-259534-hpyf0uj6 77 17 which which WDT cord-259534-hpyf0uj6 77 18 was be VBD cord-259534-hpyf0uj6 77 19 in in IN cord-259534-hpyf0uj6 77 20 good good JJ cord-259534-hpyf0uj6 77 21 agreement agreement NN cord-259534-hpyf0uj6 77 22 with with IN cord-259534-hpyf0uj6 77 23 the the DT cord-259534-hpyf0uj6 77 24 value value NN cord-259534-hpyf0uj6 77 25 suggested suggest VBN cord-259534-hpyf0uj6 77 26 by by IN cord-259534-hpyf0uj6 77 27 WHO WHO NNP cord-259534-hpyf0uj6 77 28 . . . cord-259534-hpyf0uj6 78 1 The the DT cord-259534-hpyf0uj6 78 2 fractional fractional JJ cord-259534-hpyf0uj6 78 3 model model NN cord-259534-hpyf0uj6 78 4 is be VBZ cord-259534-hpyf0uj6 78 5 then then RB cord-259534-hpyf0uj6 78 6 numerically numerically RB cord-259534-hpyf0uj6 78 7 overcome overcome VBN cord-259534-hpyf0uj6 78 8 by by IN cord-259534-hpyf0uj6 78 9 showing show VBG cord-259534-hpyf0uj6 78 10 several several JJ cord-259534-hpyf0uj6 78 11 graphical graphical JJ cord-259534-hpyf0uj6 78 12 data datum NNS cord-259534-hpyf0uj6 78 13 , , , cord-259534-hpyf0uj6 78 14 which which WDT cord-259534-hpyf0uj6 78 15 will will MD cord-259534-hpyf0uj6 78 16 further further RB cord-259534-hpyf0uj6 78 17 mitigate mitigate VB cord-259534-hpyf0uj6 78 18 the the DT cord-259534-hpyf0uj6 78 19 infection infection NN cord-259534-hpyf0uj6 78 20 . . . cord-259534-hpyf0uj6 79 1 For for IN cord-259534-hpyf0uj6 79 2 more more JJR cord-259534-hpyf0uj6 79 3 information information NN cord-259534-hpyf0uj6 79 4 pertinent pertinent JJ cord-259534-hpyf0uj6 79 5 to to IN cord-259534-hpyf0uj6 79 6 this this DT cord-259534-hpyf0uj6 79 7 model model NN cord-259534-hpyf0uj6 79 8 and and CC cord-259534-hpyf0uj6 79 9 mathematical mathematical JJ cord-259534-hpyf0uj6 79 10 terminology terminology NN cord-259534-hpyf0uj6 79 11 the the DT cord-259534-hpyf0uj6 79 12 reader reader NN cord-259534-hpyf0uj6 79 13 can can MD cord-259534-hpyf0uj6 79 14 refer refer VB cord-259534-hpyf0uj6 79 15 to to IN cord-259534-hpyf0uj6 79 16 [ [ -LRB- cord-259534-hpyf0uj6 79 17 4 4 CD cord-259534-hpyf0uj6 79 18 ] ] -RRB- cord-259534-hpyf0uj6 79 19 . . . cord-259534-hpyf0uj6 80 1 In in IN cord-259534-hpyf0uj6 80 2 addition addition NN cord-259534-hpyf0uj6 80 3 , , , cord-259534-hpyf0uj6 80 4 this this DT cord-259534-hpyf0uj6 80 5 model model NN cord-259534-hpyf0uj6 80 6 helps help VBZ cord-259534-hpyf0uj6 80 7 to to TO cord-259534-hpyf0uj6 80 8 analyze analyze VB cord-259534-hpyf0uj6 80 9 and and CC cord-259534-hpyf0uj6 80 10 understand understand VB cord-259534-hpyf0uj6 80 11 the the DT cord-259534-hpyf0uj6 80 12 impact impact NN cord-259534-hpyf0uj6 80 13 of of IN cord-259534-hpyf0uj6 80 14 implementing implement VBG cord-259534-hpyf0uj6 80 15 various various JJ cord-259534-hpyf0uj6 80 16 guidelines guideline NNS cord-259534-hpyf0uj6 80 17 and and CC cord-259534-hpyf0uj6 80 18 regulations regulation NNS cord-259534-hpyf0uj6 80 19 ( ( -LRB- cord-259534-hpyf0uj6 80 20 e.g. e.g. RB cord-259534-hpyf0uj6 80 21 , , , cord-259534-hpyf0uj6 80 22 more more RBR cord-259534-hpyf0uj6 80 23 substantial substantial JJ cord-259534-hpyf0uj6 80 24 disease disease NN cord-259534-hpyf0uj6 80 25 confirmatory confirmatory JJ cord-259534-hpyf0uj6 80 26 testing testing NN cord-259534-hpyf0uj6 80 27 or or CC cord-259534-hpyf0uj6 80 28 more more RBR cord-259534-hpyf0uj6 80 29 stringent stringent JJ cord-259534-hpyf0uj6 80 30 social social JJ cord-259534-hpyf0uj6 80 31 distance distance NN cord-259534-hpyf0uj6 80 32 measures measure NNS cord-259534-hpyf0uj6 80 33 ) ) -RRB- cord-259534-hpyf0uj6 80 34 , , , cord-259534-hpyf0uj6 80 35 typically typically RB cord-259534-hpyf0uj6 80 36 resulting result VBG cord-259534-hpyf0uj6 80 37 in in IN cord-259534-hpyf0uj6 80 38 a a DT cord-259534-hpyf0uj6 80 39 change change NN cord-259534-hpyf0uj6 80 40 in in IN cord-259534-hpyf0uj6 80 41 model model NN cord-259534-hpyf0uj6 80 42 parameters parameter NNS cord-259534-hpyf0uj6 80 43 . . . cord-259534-hpyf0uj6 81 1 The the DT cord-259534-hpyf0uj6 81 2 model model NN cord-259534-hpyf0uj6 81 3 aims aim VBZ cord-259534-hpyf0uj6 81 4 to to TO cord-259534-hpyf0uj6 81 5 analyse analyse VB cord-259534-hpyf0uj6 81 6 and and CC cord-259534-hpyf0uj6 81 7 understand understand VB cord-259534-hpyf0uj6 81 8 the the DT cord-259534-hpyf0uj6 81 9 impact impact NN cord-259534-hpyf0uj6 81 10 of of IN cord-259534-hpyf0uj6 81 11 implementing implement VBG cord-259534-hpyf0uj6 81 12 the the DT cord-259534-hpyf0uj6 81 13 Various various JJ cord-259534-hpyf0uj6 81 14 recommendations recommendation NNS cord-259534-hpyf0uj6 81 15 and and CC cord-259534-hpyf0uj6 81 16 procedures procedure NNS cord-259534-hpyf0uj6 81 17 ( ( -LRB- cord-259534-hpyf0uj6 81 18 For for IN cord-259534-hpyf0uj6 81 19 e.g. e.g. RB cord-259534-hpyf0uj6 81 20 , , , cord-259534-hpyf0uj6 81 21 more more RBR cord-259534-hpyf0uj6 81 22 comprehensive comprehensive JJ cord-259534-hpyf0uj6 81 23 disease disease NN cord-259534-hpyf0uj6 81 24 monitoring monitoring NN cord-259534-hpyf0uj6 81 25 or or CC cord-259534-hpyf0uj6 81 26 more more RBR cord-259534-hpyf0uj6 81 27 rigorous rigorous JJ cord-259534-hpyf0uj6 81 28 social social JJ cord-259534-hpyf0uj6 81 29 isolation isolation NN cord-259534-hpyf0uj6 81 30 precautions precaution NNS cord-259534-hpyf0uj6 81 31 ) ) -RRB- cord-259534-hpyf0uj6 81 32 , , , cord-259534-hpyf0uj6 81 33 usually usually RB cord-259534-hpyf0uj6 81 34 contributing contribute VBG cord-259534-hpyf0uj6 81 35 to to IN cord-259534-hpyf0uj6 81 36 a a DT cord-259534-hpyf0uj6 81 37 shift shift NN cord-259534-hpyf0uj6 81 38 in in IN cord-259534-hpyf0uj6 81 39 simulation simulation NN cord-259534-hpyf0uj6 81 40 results result NNS cord-259534-hpyf0uj6 81 41 . . . cord-259534-hpyf0uj6 82 1 ❼ ❼ LS cord-259534-hpyf0uj6 83 1 In in IN cord-259534-hpyf0uj6 83 2 [ [ -LRB- cord-259534-hpyf0uj6 83 3 6 6 CD cord-259534-hpyf0uj6 83 4 ] ] -RRB- cord-259534-hpyf0uj6 83 5 , , , cord-259534-hpyf0uj6 83 6 findings finding NNS cord-259534-hpyf0uj6 83 7 claimed claim VBD cord-259534-hpyf0uj6 83 8 a a DT cord-259534-hpyf0uj6 83 9 mathematical mathematical JJ cord-259534-hpyf0uj6 83 10 model model NN cord-259534-hpyf0uj6 83 11 - - HYPH cord-259534-hpyf0uj6 83 12 SCIRD SCIRD NNP cord-259534-hpyf0uj6 83 13 that that WDT cord-259534-hpyf0uj6 83 14 would would MD cord-259534-hpyf0uj6 83 15 take take VB cord-259534-hpyf0uj6 83 16 into into IN cord-259534-hpyf0uj6 83 17 consideration consideration NN cord-259534-hpyf0uj6 83 18 the the DT cord-259534-hpyf0uj6 83 19 lock lock NN cord-259534-hpyf0uj6 83 20 - - HYPH cord-259534-hpyf0uj6 83 21 down down RP cord-259534-hpyf0uj6 83 22 effect effect NN cord-259534-hpyf0uj6 83 23 and and CC cord-259534-hpyf0uj6 83 24 the the DT cord-259534-hpyf0uj6 83 25 possibility possibility NN cord-259534-hpyf0uj6 83 26 of of IN cord-259534-hpyf0uj6 83 27 transmission transmission NN cord-259534-hpyf0uj6 83 28 from from IN cord-259534-hpyf0uj6 83 29 deceased decease VBN cord-259534-hpyf0uj6 83 30 to to IN cord-259534-hpyf0uj6 83 31 susceptible susceptible JJ cord-259534-hpyf0uj6 83 32 individuals individual NNS cord-259534-hpyf0uj6 83 33 as as RB cord-259534-hpyf0uj6 83 34 well well RB cord-259534-hpyf0uj6 83 35 . . . cord-259534-hpyf0uj6 84 1 Suffice suffice VB cord-259534-hpyf0uj6 84 2 it -PRON- PRP cord-259534-hpyf0uj6 84 3 to to TO cord-259534-hpyf0uj6 84 4 say say VB cord-259534-hpyf0uj6 84 5 , , , cord-259534-hpyf0uj6 84 6 the the DT cord-259534-hpyf0uj6 84 7 model model NN cord-259534-hpyf0uj6 84 8 does do VBZ cord-259534-hpyf0uj6 84 9 n't not RB cord-259534-hpyf0uj6 84 10 collect collect VB cord-259534-hpyf0uj6 84 11 all all PDT cord-259534-hpyf0uj6 84 12 the the DT cord-259534-hpyf0uj6 84 13 information information NN cord-259534-hpyf0uj6 84 14 into into IN cord-259534-hpyf0uj6 84 15 consideration consideration NN cord-259534-hpyf0uj6 84 16 the the DT cord-259534-hpyf0uj6 84 17 spread spread NN cord-259534-hpyf0uj6 84 18 , , , cord-259534-hpyf0uj6 84 19 nor nor CC cord-259534-hpyf0uj6 84 20 is be VBZ cord-259534-hpyf0uj6 84 21 the the DT cord-259534-hpyf0uj6 84 22 model model NN cord-259534-hpyf0uj6 84 23 a a DT cord-259534-hpyf0uj6 84 24 solution solution NN cord-259534-hpyf0uj6 84 25 for for IN cord-259534-hpyf0uj6 84 26 COVID-19 COVID-19 NNP cord-259534-hpyf0uj6 84 27 , , , cord-259534-hpyf0uj6 84 28 but but CC cord-259534-hpyf0uj6 84 29 the the DT cord-259534-hpyf0uj6 84 30 model model NN cord-259534-hpyf0uj6 84 31 is be VBZ cord-259534-hpyf0uj6 84 32 intended intend VBN cord-259534-hpyf0uj6 84 33 to to TO cord-259534-hpyf0uj6 84 34 affirm affirm VB cord-259534-hpyf0uj6 84 35 or or CC cord-259534-hpyf0uj6 84 36 dismiss dismiss VB cord-259534-hpyf0uj6 84 37 the the DT cord-259534-hpyf0uj6 84 38 impact impact NN cord-259534-hpyf0uj6 84 39 of of IN cord-259534-hpyf0uj6 84 40 lock lock NN cord-259534-hpyf0uj6 84 41 - - HYPH cord-259534-hpyf0uj6 84 42 down down NN cord-259534-hpyf0uj6 84 43 as as IN cord-259534-hpyf0uj6 84 44 a a DT cord-259534-hpyf0uj6 84 45 potentially potentially RB cord-259534-hpyf0uj6 84 46 appropriate appropriate JJ cord-259534-hpyf0uj6 84 47 step step NN cord-259534-hpyf0uj6 84 48 to to TO cord-259534-hpyf0uj6 84 49 better better RB cord-259534-hpyf0uj6 84 50 flatten flatten VB cord-259534-hpyf0uj6 84 51 the the DT cord-259534-hpyf0uj6 84 52 death death NN cord-259534-hpyf0uj6 84 53 and and CC cord-259534-hpyf0uj6 84 54 infection infection NN cord-259534-hpyf0uj6 84 55 curves curve NNS cord-259534-hpyf0uj6 84 56 . . . cord-259534-hpyf0uj6 85 1 It -PRON- PRP cord-259534-hpyf0uj6 85 2 is be VBZ cord-259534-hpyf0uj6 85 3 therefore therefore RB cord-259534-hpyf0uj6 85 4 important important JJ cord-259534-hpyf0uj6 85 5 to to TO cord-259534-hpyf0uj6 85 6 note note VB cord-259534-hpyf0uj6 85 7 , , , cord-259534-hpyf0uj6 85 8 there there EX cord-259534-hpyf0uj6 85 9 is be VBZ cord-259534-hpyf0uj6 85 10 a a DT cord-259534-hpyf0uj6 85 11 drastic drastic JJ cord-259534-hpyf0uj6 85 12 increase increase NN cord-259534-hpyf0uj6 85 13 for for IN cord-259534-hpyf0uj6 85 14 utilizing utilize VBG cord-259534-hpyf0uj6 85 15 mathematical mathematical JJ cord-259534-hpyf0uj6 85 16 modeling modeling NN cord-259534-hpyf0uj6 85 17 in in IN cord-259534-hpyf0uj6 85 18 the the DT cord-259534-hpyf0uj6 85 19 study study NN cord-259534-hpyf0uj6 85 20 of of IN cord-259534-hpyf0uj6 85 21 epidemiology epidemiology NN cord-259534-hpyf0uj6 85 22 diseases disease NNS cord-259534-hpyf0uj6 85 23 . . . cord-259534-hpyf0uj6 86 1 Mathematical mathematical JJ cord-259534-hpyf0uj6 86 2 models model NNS cord-259534-hpyf0uj6 86 3 also also RB cord-259534-hpyf0uj6 86 4 used use VBD cord-259534-hpyf0uj6 86 5 for for IN cord-259534-hpyf0uj6 86 6 identifying identify VBG cord-259534-hpyf0uj6 86 7 / / SYM cord-259534-hpyf0uj6 86 8 estimating estimate VBG cord-259534-hpyf0uj6 86 9 various various JJ cord-259534-hpyf0uj6 86 10 diseases disease NNS cord-259534-hpyf0uj6 86 11 growth growth NN cord-259534-hpyf0uj6 86 12 and/or and/or CC cord-259534-hpyf0uj6 86 13 abnormal abnormal JJ cord-259534-hpyf0uj6 86 14 growth growth NN cord-259534-hpyf0uj6 86 15 of of IN cord-259534-hpyf0uj6 86 16 tissue tissue NN cord-259534-hpyf0uj6 86 17 - - HYPH cord-259534-hpyf0uj6 86 18 resistant resistant JJ cord-259534-hpyf0uj6 86 19 to to IN cord-259534-hpyf0uj6 86 20 a a DT cord-259534-hpyf0uj6 86 21 particular particular JJ cord-259534-hpyf0uj6 86 22 infection infection NN cord-259534-hpyf0uj6 86 23 surveillance surveillance NN cord-259534-hpyf0uj6 86 24 natural natural JJ cord-259534-hpyf0uj6 86 25 phenomena phenomenon NNS cord-259534-hpyf0uj6 86 26 procedures(see procedures(see . cord-259534-hpyf0uj6 87 1 for for IN cord-259534-hpyf0uj6 87 2 example example NN cord-259534-hpyf0uj6 87 3 [ [ -LRB- cord-259534-hpyf0uj6 87 4 7 7 CD cord-259534-hpyf0uj6 87 5 ] ] -RRB- cord-259534-hpyf0uj6 87 6 - - : cord-259534-hpyf0uj6 87 7 [ [ -LRB- cord-259534-hpyf0uj6 87 8 11 11 CD cord-259534-hpyf0uj6 87 9 ] ] -RRB- cord-259534-hpyf0uj6 87 10 ) ) -RRB- cord-259534-hpyf0uj6 87 11 . . . cord-259534-hpyf0uj6 88 1 where where WRB cord-259534-hpyf0uj6 88 2 , , , cord-259534-hpyf0uj6 88 3 ( ( -LRB- cord-259534-hpyf0uj6 88 4 C C NNP cord-259534-hpyf0uj6 88 5 * * NFP cord-259534-hpyf0uj6 88 6 ) ) -RRB- cord-259534-hpyf0uj6 88 7 . . . cord-259534-hpyf0uj6 89 1 F F NNP cord-259534-hpyf0uj6 89 2 is be VBZ cord-259534-hpyf0uj6 89 3 strictly strictly RB cord-259534-hpyf0uj6 89 4 increasing increase VBG cord-259534-hpyf0uj6 89 5 ; ; . cord-259534-hpyf0uj6 90 1 ( ( -LRB- cord-259534-hpyf0uj6 90 2 C C NNP cord-259534-hpyf0uj6 90 3 ♦ ♦ NNP cord-259534-hpyf0uj6 90 4 ) ) -RRB- cord-259534-hpyf0uj6 90 5 . . . cord-259534-hpyf0uj6 91 1 There there EX cord-259534-hpyf0uj6 91 2 exists exist VBZ cord-259534-hpyf0uj6 91 3 k k NN cord-259534-hpyf0uj6 91 4 ∈ ∈ NN cord-259534-hpyf0uj6 91 5 ( ( -LRB- cord-259534-hpyf0uj6 91 6 0 0 CD cord-259534-hpyf0uj6 91 7 , , , cord-259534-hpyf0uj6 91 8 1 1 CD cord-259534-hpyf0uj6 91 9 ) ) -RRB- cord-259534-hpyf0uj6 91 10 such such JJ cord-259534-hpyf0uj6 91 11 that that IN cord-259534-hpyf0uj6 91 12 lim lim NNP cord-259534-hpyf0uj6 91 13 for for IN cord-259534-hpyf0uj6 91 14 all all DT cord-259534-hpyf0uj6 91 15 x x NNS cord-259534-hpyf0uj6 91 16 , , , cord-259534-hpyf0uj6 91 17 y y NN cord-259534-hpyf0uj6 91 18 ∈ ∈ NN cord-259534-hpyf0uj6 91 19 X x NN cord-259534-hpyf0uj6 91 20 such such JJ cord-259534-hpyf0uj6 91 21 that that DT cord-259534-hpyf0uj6 92 1 Ox ox NN cord-259534-hpyf0uj6 92 2 = = SYM cord-259534-hpyf0uj6 92 3 Oy Oy NNP cord-259534-hpyf0uj6 92 4 . . . cord-259534-hpyf0uj6 93 1 Theorem Theorem NNP cord-259534-hpyf0uj6 93 2 5.1 5.1 CD cord-259534-hpyf0uj6 93 3 . . . cord-259534-hpyf0uj6 94 1 [ [ -LRB- cord-259534-hpyf0uj6 94 2 12 12 CD cord-259534-hpyf0uj6 94 3 ] ] -RRB- cord-259534-hpyf0uj6 94 4 Let let VB cord-259534-hpyf0uj6 94 5 ( ( -LRB- cord-259534-hpyf0uj6 94 6 X X NNS cord-259534-hpyf0uj6 94 7 , , , cord-259534-hpyf0uj6 94 8 d d NN cord-259534-hpyf0uj6 94 9 ) ) -RRB- cord-259534-hpyf0uj6 94 10 be be VB cord-259534-hpyf0uj6 94 11 a a DT cord-259534-hpyf0uj6 94 12 complete complete JJ cord-259534-hpyf0uj6 94 13 metric metric JJ cord-259534-hpyf0uj6 94 14 space space NN cord-259534-hpyf0uj6 94 15 and and CC cord-259534-hpyf0uj6 94 16 let let VB cord-259534-hpyf0uj6 94 17 O o NN cord-259534-hpyf0uj6 94 18 : : : cord-259534-hpyf0uj6 94 19 X X NNS cord-259534-hpyf0uj6 94 20 → → NN cord-259534-hpyf0uj6 94 21 X x NN cord-259534-hpyf0uj6 94 22 be be VB cord-259534-hpyf0uj6 94 23 a a DT cord-259534-hpyf0uj6 94 24 ( ( -LRB- cord-259534-hpyf0uj6 94 25 ξ ξ VBZ cord-259534-hpyf0uj6 94 26 − − NNP cord-259534-hpyf0uj6 94 27 F)contraction F)contraction NNP cord-259534-hpyf0uj6 94 28 and and CC cord-259534-hpyf0uj6 94 29 for for IN cord-259534-hpyf0uj6 94 30 each each DT cord-259534-hpyf0uj6 94 31 x x SYM cord-259534-hpyf0uj6 94 32 0 0 CD cord-259534-hpyf0uj6 94 33 ∈ ∈ NN cord-259534-hpyf0uj6 94 34 X. x. NN cord-259534-hpyf0uj6 95 1 Then then RB cord-259534-hpyf0uj6 95 2 O o UH cord-259534-hpyf0uj6 95 3 has have VBZ cord-259534-hpyf0uj6 95 4 a a DT cord-259534-hpyf0uj6 95 5 unique unique JJ cord-259534-hpyf0uj6 95 6 fixed fix VBN cord-259534-hpyf0uj6 95 7 point point NN cord-259534-hpyf0uj6 95 8 . . . cord-259534-hpyf0uj6 96 1 This this DT cord-259534-hpyf0uj6 96 2 topic topic NN cord-259534-hpyf0uj6 96 3 ( ( -LRB- cord-259534-hpyf0uj6 96 4 ξ ξ VBZ cord-259534-hpyf0uj6 96 5 − − NNP cord-259534-hpyf0uj6 96 6 F)-contraction F)-contraction NNP cord-259534-hpyf0uj6 96 7 is be VBZ cord-259534-hpyf0uj6 96 8 an an DT cord-259534-hpyf0uj6 96 9 extension extension NN cord-259534-hpyf0uj6 96 10 of of IN cord-259534-hpyf0uj6 96 11 F F NNP cord-259534-hpyf0uj6 96 12 -contraction -contraction NNP cord-259534-hpyf0uj6 96 13 . . . cord-259534-hpyf0uj6 97 1 Any any DT cord-259534-hpyf0uj6 97 2 traditional traditional JJ cord-259534-hpyf0uj6 97 3 discussions discussion NNS cord-259534-hpyf0uj6 97 4 indicate indicate VBP cord-259534-hpyf0uj6 97 5 that that IN cord-259534-hpyf0uj6 97 6 literature literature NN cord-259534-hpyf0uj6 97 7 on on IN cord-259534-hpyf0uj6 97 8 this this DT cord-259534-hpyf0uj6 97 9 topic topic NN cord-259534-hpyf0uj6 97 10 may may MD cord-259534-hpyf0uj6 97 11 infer infer VB cord-259534-hpyf0uj6 97 12 that that IN cord-259534-hpyf0uj6 97 13 the the DT cord-259534-hpyf0uj6 97 14 concept concept NN cord-259534-hpyf0uj6 97 15 of of IN cord-259534-hpyf0uj6 97 16 F F NNP cord-259534-hpyf0uj6 97 17 -contraction -contraction NNP cord-259534-hpyf0uj6 97 18 is be VBZ cord-259534-hpyf0uj6 97 19 a a DT cord-259534-hpyf0uj6 97 20 typical typical JJ cord-259534-hpyf0uj6 97 21 generalization generalization NN cord-259534-hpyf0uj6 97 22 of of IN cord-259534-hpyf0uj6 97 23 the the DT cord-259534-hpyf0uj6 97 24 Banach Banach NNP cord-259534-hpyf0uj6 97 25 contraction contraction NN cord-259534-hpyf0uj6 97 26 principle principle NN cord-259534-hpyf0uj6 97 27 as as IN cord-259534-hpyf0uj6 97 28 a a DT cord-259534-hpyf0uj6 97 29 consequence consequence NN cord-259534-hpyf0uj6 97 30 of of IN cord-259534-hpyf0uj6 97 31 the the DT cord-259534-hpyf0uj6 97 32 uniqueness uniqueness NN cord-259534-hpyf0uj6 97 33 . . . cord-259534-hpyf0uj6 98 1 For for IN cord-259534-hpyf0uj6 98 2 a a DT cord-259534-hpyf0uj6 98 3 extensive extensive JJ cord-259534-hpyf0uj6 98 4 study study NN cord-259534-hpyf0uj6 98 5 on on IN cord-259534-hpyf0uj6 98 6 fixed fix VBN cord-259534-hpyf0uj6 98 7 points point NNS cord-259534-hpyf0uj6 98 8 , , , cord-259534-hpyf0uj6 98 9 F F NNP cord-259534-hpyf0uj6 98 10 -contraction -contraction NNP cord-259534-hpyf0uj6 98 11 and and CC cord-259534-hpyf0uj6 98 12 fractionals fractional NNS cord-259534-hpyf0uj6 98 13 the the DT cord-259534-hpyf0uj6 98 14 reader reader NN cord-259534-hpyf0uj6 98 15 may may MD cord-259534-hpyf0uj6 98 16 refer refer VB cord-259534-hpyf0uj6 98 17 [ [ -LRB- cord-259534-hpyf0uj6 98 18 13 13 CD cord-259534-hpyf0uj6 98 19 ] ] -RRB- cord-259534-hpyf0uj6 98 20 - - : cord-259534-hpyf0uj6 98 21 [ [ -LRB- cord-259534-hpyf0uj6 98 22 34 34 CD cord-259534-hpyf0uj6 98 23 ] ] -RRB- cord-259534-hpyf0uj6 98 24 . . . cord-259534-hpyf0uj6 99 1 We -PRON- PRP cord-259534-hpyf0uj6 99 2 present present VBP cord-259534-hpyf0uj6 99 3 the the DT cord-259534-hpyf0uj6 99 4 existence existence NN cord-259534-hpyf0uj6 99 5 of of IN cord-259534-hpyf0uj6 99 6 fixed fix VBN cord-259534-hpyf0uj6 99 7 point point NN cord-259534-hpyf0uj6 99 8 for for IN cord-259534-hpyf0uj6 99 9 ( ( -LRB- cord-259534-hpyf0uj6 99 10 ξ ξ NNP cord-259534-hpyf0uj6 99 11 − − NNP cord-259534-hpyf0uj6 99 12 F)-contractions F)-contractions NNP cord-259534-hpyf0uj6 99 13 to to IN cord-259534-hpyf0uj6 99 14 the the DT cord-259534-hpyf0uj6 99 15 following follow VBG cord-259534-hpyf0uj6 99 16 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 99 17 model model NN cord-259534-hpyf0uj6 99 18 of of IN cord-259534-hpyf0uj6 99 19 type type NN cord-259534-hpyf0uj6 99 20 SEIARM SEIARM NNP cord-259534-hpyf0uj6 99 21 . . . cord-259534-hpyf0uj6 100 1 In in IN cord-259534-hpyf0uj6 100 2 order order NN cord-259534-hpyf0uj6 100 3 to to TO cord-259534-hpyf0uj6 100 4 prove prove VB cord-259534-hpyf0uj6 100 5 our -PRON- PRP$ cord-259534-hpyf0uj6 100 6 Theorem theorem NN cord-259534-hpyf0uj6 100 7 , , , cord-259534-hpyf0uj6 100 8 above above IN cord-259534-hpyf0uj6 100 9 stated state VBN cord-259534-hpyf0uj6 100 10 theorem theorem NN cord-259534-hpyf0uj6 100 11 plays play VBZ cord-259534-hpyf0uj6 100 12 a a DT cord-259534-hpyf0uj6 100 13 vital vital JJ cord-259534-hpyf0uj6 100 14 role role NN cord-259534-hpyf0uj6 100 15 . . . cord-259534-hpyf0uj6 101 1 Moreover moreover RB cord-259534-hpyf0uj6 101 2 , , , cord-259534-hpyf0uj6 101 3 we -PRON- PRP cord-259534-hpyf0uj6 101 4 need need VBP cord-259534-hpyf0uj6 101 5 the the DT cord-259534-hpyf0uj6 101 6 following follow VBG cord-259534-hpyf0uj6 101 7 assumptions assumption NNS cord-259534-hpyf0uj6 101 8 : : : cord-259534-hpyf0uj6 101 9 ( ( -LRB- cord-259534-hpyf0uj6 101 10 H h NN cord-259534-hpyf0uj6 101 11 1 1 CD cord-259534-hpyf0uj6 101 12 ) ) -RRB- cord-259534-hpyf0uj6 101 13 . . . cord-259534-hpyf0uj6 102 1 lim lim NNP cord-259534-hpyf0uj6 102 2 inf inf NNP cord-259534-hpyf0uj6 102 3 a→θ a→θ NNP cord-259534-hpyf0uj6 102 4 + + CC cord-259534-hpyf0uj6 102 5 ξ(a ξ(a NN cord-259534-hpyf0uj6 102 6 ) ) -RRB- cord-259534-hpyf0uj6 103 1 > > XX cord-259534-hpyf0uj6 104 1 0 0 NFP cord-259534-hpyf0uj6 104 2 for for IN cord-259534-hpyf0uj6 104 3 all all DT cord-259534-hpyf0uj6 104 4 t t NN cord-259534-hpyf0uj6 104 5 ≥ ≥ CD cord-259534-hpyf0uj6 104 6 0 0 CD cord-259534-hpyf0uj6 104 7 ; ; : cord-259534-hpyf0uj6 104 8 ( ( -LRB- cord-259534-hpyf0uj6 104 9 H h NN cord-259534-hpyf0uj6 104 10 2 2 CD cord-259534-hpyf0uj6 104 11 ) ) -RRB- cord-259534-hpyf0uj6 104 12 . . . cord-259534-hpyf0uj6 105 1 ( ( -LRB- cord-259534-hpyf0uj6 105 2 1− 1− CD cord-259534-hpyf0uj6 105 3 α)Γ α)γ XX cord-259534-hpyf0uj6 106 1 ( ( -LRB- cord-259534-hpyf0uj6 106 2 α)+θ α)+θ NN cord-259534-hpyf0uj6 106 3 e e NN cord-259534-hpyf0uj6 106 4 C c NN cord-259534-hpyf0uj6 106 5 19 19 CD cord-259534-hpyf0uj6 106 6 ( ( -LRB- cord-259534-hpyf0uj6 106 7 α)Γ α)Γ NNP cord-259534-hpyf0uj6 106 8 ( ( -LRB- cord-259534-hpyf0uj6 106 9 α α NN cord-259534-hpyf0uj6 106 10 ) ) -RRB- cord-259534-hpyf0uj6 107 1 < < XX cord-259534-hpyf0uj6 108 1 σn σn NNP cord-259534-hpyf0uj6 108 2 σ σ NNP cord-259534-hpyf0uj6 109 1 n+1 n+1 NN cord-259534-hpyf0uj6 109 2 ( ( -LRB- cord-259534-hpyf0uj6 109 3 1+σn(σn−σ 1+σn(σn−σ CD cord-259534-hpyf0uj6 109 4 n−1 n−1 NNS cord-259534-hpyf0uj6 109 5 ) ) -RRB- cord-259534-hpyf0uj6 109 6 ) ) -RRB- cord-259534-hpyf0uj6 110 1 e e LS cord-259534-hpyf0uj6 110 2 −θσn −θσn CD cord-259534-hpyf0uj6 110 3 ; ; : cord-259534-hpyf0uj6 110 4 Proof Proof NNP cord-259534-hpyf0uj6 110 5 . . . cord-259534-hpyf0uj6 111 1 Consider consider VB cord-259534-hpyf0uj6 111 2 the the DT cord-259534-hpyf0uj6 111 3 operator operator NN cord-259534-hpyf0uj6 111 4 O o NN cord-259534-hpyf0uj6 111 5 : : : cord-259534-hpyf0uj6 111 6 C(I c(i NN cord-259534-hpyf0uj6 111 7 ) ) -RRB- cord-259534-hpyf0uj6 112 1 → → IN cord-259534-hpyf0uj6 112 2 C(I c(i NN cord-259534-hpyf0uj6 112 3 ) ) -RRB- cord-259534-hpyf0uj6 113 1 as as IN cord-259534-hpyf0uj6 113 2 follows follow VBZ cord-259534-hpyf0uj6 113 3 , , , cord-259534-hpyf0uj6 113 4 A a DT cord-259534-hpyf0uj6 113 5 fixed fixed JJ cord-259534-hpyf0uj6 113 6 point point NN cord-259534-hpyf0uj6 113 7 of of IN cord-259534-hpyf0uj6 113 8 the the DT cord-259534-hpyf0uj6 113 9 operator operator NN cord-259534-hpyf0uj6 113 10 O o NN cord-259534-hpyf0uj6 113 11 will will MD cord-259534-hpyf0uj6 113 12 be be VB cord-259534-hpyf0uj6 113 13 a a DT cord-259534-hpyf0uj6 113 14 solution solution NN cord-259534-hpyf0uj6 113 15 of of IN cord-259534-hpyf0uj6 113 16 Eq Eq NNP cord-259534-hpyf0uj6 113 17 . . . cord-259534-hpyf0uj6 114 1 ( ( -LRB- cord-259534-hpyf0uj6 114 2 2 2 LS cord-259534-hpyf0uj6 114 3 ) ) -RRB- cord-259534-hpyf0uj6 114 4 . . . cord-259534-hpyf0uj6 115 1 In in IN cord-259534-hpyf0uj6 115 2 order order NN cord-259534-hpyf0uj6 115 3 to to TO cord-259534-hpyf0uj6 115 4 fulfil fulfil VB cord-259534-hpyf0uj6 115 5 all all PDT cord-259534-hpyf0uj6 115 6 the the DT cord-259534-hpyf0uj6 115 7 assumptions assumption NNS cord-259534-hpyf0uj6 115 8 of of IN cord-259534-hpyf0uj6 115 9 Theorem Theorem NNP cord-259534-hpyf0uj6 115 10 5.1 5.1 CD cord-259534-hpyf0uj6 115 11 , , , cord-259534-hpyf0uj6 115 12 let let VB cord-259534-hpyf0uj6 115 13 us -PRON- PRP cord-259534-hpyf0uj6 115 14 consider consider VB cord-259534-hpyf0uj6 115 15 a a DT cord-259534-hpyf0uj6 115 16 function function NN cord-259534-hpyf0uj6 115 17 F(x F(x NNP cord-259534-hpyf0uj6 115 18 ) ) -RRB- cord-259534-hpyf0uj6 116 1 = = NFP cord-259534-hpyf0uj6 117 1 − − NN cord-259534-hpyf0uj6 117 2 1 1 CD cord-259534-hpyf0uj6 118 1 x x LS cord-259534-hpyf0uj6 118 2 , , , cord-259534-hpyf0uj6 119 1 x x LS cord-259534-hpyf0uj6 119 2 > > XX cord-259534-hpyf0uj6 119 3 0 0 CD cord-259534-hpyf0uj6 120 1 and and CC cord-259534-hpyf0uj6 120 2 ξ ξ VBZ cord-259534-hpyf0uj6 120 3 : : : cord-259534-hpyf0uj6 120 4 ( ( -LRB- cord-259534-hpyf0uj6 120 5 0 0 NFP cord-259534-hpyf0uj6 120 6 , , , cord-259534-hpyf0uj6 120 7 ∞ ∞ NNP cord-259534-hpyf0uj6 120 8 ) ) -RRB- cord-259534-hpyf0uj6 120 9 → → XX cord-259534-hpyf0uj6 120 10 ( ( -LRB- cord-259534-hpyf0uj6 120 11 0 0 NFP cord-259534-hpyf0uj6 120 12 , , , cord-259534-hpyf0uj6 120 13 ∞ ∞ NNP cord-259534-hpyf0uj6 120 14 ) ) -RRB- cord-259534-hpyf0uj6 120 15 of of IN cord-259534-hpyf0uj6 120 16 the the DT cord-259534-hpyf0uj6 120 17 form form NN cord-259534-hpyf0uj6 120 18 : : : cord-259534-hpyf0uj6 121 1 In in IN cord-259534-hpyf0uj6 121 2 this this DT cord-259534-hpyf0uj6 121 3 case case NN cord-259534-hpyf0uj6 121 4 one one PRP cord-259534-hpyf0uj6 121 5 can can MD cord-259534-hpyf0uj6 121 6 calculate calculate VB cord-259534-hpyf0uj6 121 7 that that IN cord-259534-hpyf0uj6 121 8 the the DT cord-259534-hpyf0uj6 121 9 contractive contractive JJ cord-259534-hpyf0uj6 121 10 condition condition NN cord-259534-hpyf0uj6 121 11 takes take VBZ cord-259534-hpyf0uj6 121 12 the the DT cord-259534-hpyf0uj6 121 13 following follow VBG cord-259534-hpyf0uj6 121 14 form form NN cord-259534-hpyf0uj6 121 15 : : : cord-259534-hpyf0uj6 121 16 for for IN cord-259534-hpyf0uj6 121 17 all all DT cord-259534-hpyf0uj6 121 18 x x NNS cord-259534-hpyf0uj6 121 19 , , , cord-259534-hpyf0uj6 121 20 y y NNP cord-259534-hpyf0uj6 121 21 ∈ ∈ NNP cord-259534-hpyf0uj6 121 22 C(I C(I NNP cord-259534-hpyf0uj6 121 23 ) ) -RRB- cord-259534-hpyf0uj6 121 24 satisfying satisfy VBG cord-259534-hpyf0uj6 121 25 σ σ NNP cord-259534-hpyf0uj6 121 26 n−1 n−1 NNP cord-259534-hpyf0uj6 121 27 ≤ ≤ NNS cord-259534-hpyf0uj6 121 28 ||x ||x NN cord-259534-hpyf0uj6 121 29 − − NN cord-259534-hpyf0uj6 121 30 y|| y|| NNP cord-259534-hpyf0uj6 122 1 < < XX cord-259534-hpyf0uj6 123 1 σ σ NNP cord-259534-hpyf0uj6 123 2 n n NNP cord-259534-hpyf0uj6 123 3 when when WRB cord-259534-hpyf0uj6 123 4 n n NN cord-259534-hpyf0uj6 123 5 ≥ ≥ CD cord-259534-hpyf0uj6 123 6 2 2 CD cord-259534-hpyf0uj6 123 7 and and CC cord-259534-hpyf0uj6 123 8 0 0 CD cord-259534-hpyf0uj6 124 1 < < XX cord-259534-hpyf0uj6 124 2 ||x ||x NNP cord-259534-hpyf0uj6 124 3 − − NNP cord-259534-hpyf0uj6 125 1 y|| y|| RB cord-259534-hpyf0uj6 126 1 < < XX cord-259534-hpyf0uj6 127 1 σ σ NNP cord-259534-hpyf0uj6 127 2 1 1 CD cord-259534-hpyf0uj6 127 3 for for IN cord-259534-hpyf0uj6 127 4 n n NN cord-259534-hpyf0uj6 127 5 = = SYM cord-259534-hpyf0uj6 127 6 1 1 CD cord-259534-hpyf0uj6 127 7 . . . cord-259534-hpyf0uj6 128 1 We -PRON- PRP cord-259534-hpyf0uj6 128 2 will will MD cord-259534-hpyf0uj6 128 3 show show VB cord-259534-hpyf0uj6 128 4 that that IN cord-259534-hpyf0uj6 128 5 O o NN cord-259534-hpyf0uj6 128 6 satisfies satisfy VBZ cord-259534-hpyf0uj6 128 7 the the DT cord-259534-hpyf0uj6 128 8 conditions condition NNS cord-259534-hpyf0uj6 128 9 of of IN cord-259534-hpyf0uj6 128 10 Theorem theorem NN cord-259534-hpyf0uj6 128 11 5.1 5.1 CD cord-259534-hpyf0uj6 128 12 . . . cord-259534-hpyf0uj6 129 1 Fix fix VB cord-259534-hpyf0uj6 129 2 n n CC cord-259534-hpyf0uj6 129 3 ≥ ≥ CD cord-259534-hpyf0uj6 129 4 2 2 CD cord-259534-hpyf0uj6 129 5 and and CC cord-259534-hpyf0uj6 129 6 take take VB cord-259534-hpyf0uj6 129 7 any any DT cord-259534-hpyf0uj6 129 8 A(ν A(ν NNP cord-259534-hpyf0uj6 129 9 , , , cord-259534-hpyf0uj6 129 10 S s NN cord-259534-hpyf0uj6 129 11 p p NN cord-259534-hpyf0uj6 129 12 1 1 CD cord-259534-hpyf0uj6 129 13 ) ) -RRB- cord-259534-hpyf0uj6 129 14 , , . cord-259534-hpyf0uj6 130 1 A(ν A(ν NNP cord-259534-hpyf0uj6 130 2 , , , cord-259534-hpyf0uj6 131 1 S s NN cord-259534-hpyf0uj6 131 2 p p NN cord-259534-hpyf0uj6 131 3 2 2 CD cord-259534-hpyf0uj6 131 4 ) ) -RRB- cord-259534-hpyf0uj6 131 5 ∈ ∈ NNP cord-259534-hpyf0uj6 131 6 C(I C(I NNP cord-259534-hpyf0uj6 131 7 ) ) -RRB- cord-259534-hpyf0uj6 131 8 such such JJ cord-259534-hpyf0uj6 131 9 that that IN cord-259534-hpyf0uj6 131 10 σ σ NNP cord-259534-hpyf0uj6 131 11 n−1 n−1 NNP cord-259534-hpyf0uj6 131 12 ≤ ≤ NNS cord-259534-hpyf0uj6 131 13 ||x ||x NN cord-259534-hpyf0uj6 131 14 − − NN cord-259534-hpyf0uj6 131 15 y|| y|| NNP cord-259534-hpyf0uj6 132 1 < < XX cord-259534-hpyf0uj6 133 1 σ σ NNP cord-259534-hpyf0uj6 133 2 n n NNP cord-259534-hpyf0uj6 133 3 . . . cord-259534-hpyf0uj6 133 4 Observe observe VB cord-259534-hpyf0uj6 133 5 that that IN cord-259534-hpyf0uj6 133 6 for for IN cord-259534-hpyf0uj6 133 7 each each DT cord-259534-hpyf0uj6 133 8 ν ν NN cord-259534-hpyf0uj6 133 9 ∈ ∈ NN cord-259534-hpyf0uj6 134 1 I -PRON- PRP cord-259534-hpyf0uj6 134 2 , , , cord-259534-hpyf0uj6 134 3 we -PRON- PRP cord-259534-hpyf0uj6 134 4 have have VBP cord-259534-hpyf0uj6 134 5 , , , cord-259534-hpyf0uj6 134 6 Next Next NNP cord-259534-hpyf0uj6 134 7 , , , cord-259534-hpyf0uj6 134 8 we -PRON- PRP cord-259534-hpyf0uj6 134 9 have have VBP cord-259534-hpyf0uj6 134 10 , , , cord-259534-hpyf0uj6 134 11 and and CC cord-259534-hpyf0uj6 134 12 since since IN cord-259534-hpyf0uj6 134 13 σ σ NNP cord-259534-hpyf0uj6 134 14 n+1 n+1 NN cord-259534-hpyf0uj6 134 15 > > XX cord-259534-hpyf0uj6 134 16 1 1 CD cord-259534-hpyf0uj6 134 17 , , , cord-259534-hpyf0uj6 134 18 −νσ −νσ CD cord-259534-hpyf0uj6 134 19 n+1 n+1 NN cord-259534-hpyf0uj6 134 20 ≤ ≤ NN cord-259534-hpyf0uj6 134 21 −ν −ν NNP cord-259534-hpyf0uj6 134 22 for for IN cord-259534-hpyf0uj6 134 23 all all DT cord-259534-hpyf0uj6 134 24 ν ν NN cord-259534-hpyf0uj6 134 25 ∈ ∈ NN cord-259534-hpyf0uj6 134 26 I. i. NN cord-259534-hpyf0uj6 135 1 In in IN cord-259534-hpyf0uj6 135 2 consequence consequence NN cord-259534-hpyf0uj6 135 3 , , , cord-259534-hpyf0uj6 135 4 the the DT cord-259534-hpyf0uj6 135 5 following following NN cord-259534-hpyf0uj6 135 6 holds hold VBZ cord-259534-hpyf0uj6 135 7 : : : cord-259534-hpyf0uj6 136 1 Using use VBG cord-259534-hpyf0uj6 136 2 the the DT cord-259534-hpyf0uj6 136 3 properties property NNS cord-259534-hpyf0uj6 136 4 of of IN cord-259534-hpyf0uj6 136 5 the the DT cord-259534-hpyf0uj6 136 6 sequence sequence NN cord-259534-hpyf0uj6 136 7 ( ( -LRB- cord-259534-hpyf0uj6 136 8 σ σ NNP cord-259534-hpyf0uj6 136 9 n n NNP cord-259534-hpyf0uj6 136 10 ) ) -RRB- cord-259534-hpyf0uj6 136 11 , , , cord-259534-hpyf0uj6 136 12 we -PRON- PRP cord-259534-hpyf0uj6 136 13 get get VBP cord-259534-hpyf0uj6 136 14 , , , cord-259534-hpyf0uj6 136 15 By by IN cord-259534-hpyf0uj6 136 16 following follow VBG cord-259534-hpyf0uj6 136 17 the the DT cord-259534-hpyf0uj6 136 18 same same JJ cord-259534-hpyf0uj6 136 19 pattern pattern NN cord-259534-hpyf0uj6 136 20 as as IN cord-259534-hpyf0uj6 136 21 above above RB cord-259534-hpyf0uj6 136 22 , , , cord-259534-hpyf0uj6 136 23 we -PRON- PRP cord-259534-hpyf0uj6 136 24 get get VBP cord-259534-hpyf0uj6 136 25 , , , cord-259534-hpyf0uj6 137 1 Thus thus RB cord-259534-hpyf0uj6 137 2 , , , cord-259534-hpyf0uj6 137 3 O o UH cord-259534-hpyf0uj6 137 4 gratified gratify VBD cord-259534-hpyf0uj6 137 5 all all PDT cord-259534-hpyf0uj6 137 6 the the DT cord-259534-hpyf0uj6 137 7 conditions condition NNS cord-259534-hpyf0uj6 137 8 of of IN cord-259534-hpyf0uj6 137 9 the the DT cord-259534-hpyf0uj6 137 10 above above JJ cord-259534-hpyf0uj6 137 11 Theorem Theorem NNP cord-259534-hpyf0uj6 137 12 5.1 5.1 CD cord-259534-hpyf0uj6 137 13 . . . cord-259534-hpyf0uj6 138 1 Hence hence RB cord-259534-hpyf0uj6 138 2 O o NN cord-259534-hpyf0uj6 138 3 has have VBZ cord-259534-hpyf0uj6 138 4 a a DT cord-259534-hpyf0uj6 138 5 fixed fix VBN cord-259534-hpyf0uj6 138 6 point point NN cord-259534-hpyf0uj6 138 7 which which WDT cord-259534-hpyf0uj6 138 8 yields yield VBZ cord-259534-hpyf0uj6 138 9 a a DT cord-259534-hpyf0uj6 138 10 solution solution NN cord-259534-hpyf0uj6 138 11 which which WDT cord-259534-hpyf0uj6 138 12 gives give VBZ cord-259534-hpyf0uj6 138 13 the the DT cord-259534-hpyf0uj6 138 14 existence existence NN cord-259534-hpyf0uj6 138 15 of of IN cord-259534-hpyf0uj6 138 16 solution solution NN cord-259534-hpyf0uj6 138 17 for for IN cord-259534-hpyf0uj6 138 18 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 138 19 model model NN cord-259534-hpyf0uj6 138 20 of of IN cord-259534-hpyf0uj6 138 21 type type NN cord-259534-hpyf0uj6 138 22 SEIARM SEIARM NNP cord-259534-hpyf0uj6 138 23 . . . cord-259534-hpyf0uj6 139 1 In in IN cord-259534-hpyf0uj6 139 2 this this DT cord-259534-hpyf0uj6 139 3 section section NN cord-259534-hpyf0uj6 139 4 , , , cord-259534-hpyf0uj6 139 5 we -PRON- PRP cord-259534-hpyf0uj6 139 6 consider consider VBP cord-259534-hpyf0uj6 139 7 , , , cord-259534-hpyf0uj6 139 8 Applying apply VBG cord-259534-hpyf0uj6 139 9 the the DT cord-259534-hpyf0uj6 139 10 fractal fractal JJ cord-259534-hpyf0uj6 139 11 - - HYPH cord-259534-hpyf0uj6 139 12 fractional fractional JJ cord-259534-hpyf0uj6 139 13 integral integral NN cord-259534-hpyf0uj6 139 14 with with IN cord-259534-hpyf0uj6 139 15 Mittag Mittag NNP cord-259534-hpyf0uj6 139 16 - - HYPH cord-259534-hpyf0uj6 139 17 Leffler Leffler NNP cord-259534-hpyf0uj6 139 18 kernel kernel NN cord-259534-hpyf0uj6 139 19 according accord VBG cord-259534-hpyf0uj6 139 20 to to IN cord-259534-hpyf0uj6 139 21 [ [ -LRB- cord-259534-hpyf0uj6 139 22 6 6 CD cord-259534-hpyf0uj6 139 23 ] ] -RRB- cord-259534-hpyf0uj6 139 24 , , , cord-259534-hpyf0uj6 139 25 we -PRON- PRP cord-259534-hpyf0uj6 139 26 transform transform VBP cord-259534-hpyf0uj6 139 27 the the DT cord-259534-hpyf0uj6 139 28 above above JJ cord-259534-hpyf0uj6 139 29 equation equation NN cord-259534-hpyf0uj6 139 30 into into IN cord-259534-hpyf0uj6 139 31 Below below RB cord-259534-hpyf0uj6 139 32 is be VBZ cord-259534-hpyf0uj6 139 33 the the DT cord-259534-hpyf0uj6 139 34 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 139 35 model model NN cord-259534-hpyf0uj6 139 36 of of IN cord-259534-hpyf0uj6 139 37 type type NN cord-259534-hpyf0uj6 139 38 SCIRD SCIRD NNP cord-259534-hpyf0uj6 139 39 associated associate VBN cord-259534-hpyf0uj6 139 40 with with IN cord-259534-hpyf0uj6 139 41 fractal fractal JJ cord-259534-hpyf0uj6 139 42 - - HYPH cord-259534-hpyf0uj6 139 43 fractional fractional JJ cord-259534-hpyf0uj6 139 44 integral integral NN cord-259534-hpyf0uj6 139 45 with with IN cord-259534-hpyf0uj6 139 46 Mittag Mittag NNP cord-259534-hpyf0uj6 139 47 - - HYPH cord-259534-hpyf0uj6 139 48 Leffler Leffler NNP cord-259534-hpyf0uj6 139 49 kernel kernel NN cord-259534-hpyf0uj6 139 50 : : : cord-259534-hpyf0uj6 139 51 _SP cord-259534-hpyf0uj6 140 1 We -PRON- PRP cord-259534-hpyf0uj6 140 2 apply apply VBP cord-259534-hpyf0uj6 140 3 Theorem theorem NN cord-259534-hpyf0uj6 140 4 5.1 5.1 CD cord-259534-hpyf0uj6 140 5 to to TO cord-259534-hpyf0uj6 140 6 verify verify VB cord-259534-hpyf0uj6 140 7 the the DT cord-259534-hpyf0uj6 140 8 existence existence NN cord-259534-hpyf0uj6 140 9 problems problem NNS cord-259534-hpyf0uj6 140 10 of of IN cord-259534-hpyf0uj6 140 11 the the DT cord-259534-hpyf0uj6 140 12 unique unique JJ cord-259534-hpyf0uj6 140 13 solutions solution NNS cord-259534-hpyf0uj6 140 14 for for IN cord-259534-hpyf0uj6 140 15 Mittag Mittag NNP cord-259534-hpyf0uj6 140 16 - - HYPH cord-259534-hpyf0uj6 140 17 Leffler Leffler NNP cord-259534-hpyf0uj6 140 18 Kernal Kernal NNP cord-259534-hpyf0uj6 140 19 Covid Covid NNP cord-259534-hpyf0uj6 140 20 model model NN cord-259534-hpyf0uj6 140 21 . . . cord-259534-hpyf0uj6 141 1 We -PRON- PRP cord-259534-hpyf0uj6 141 2 look look VBP cord-259534-hpyf0uj6 141 3 for for IN cord-259534-hpyf0uj6 141 4 the the DT cord-259534-hpyf0uj6 141 5 solution solution NN cord-259534-hpyf0uj6 141 6 of of IN cord-259534-hpyf0uj6 141 7 eq.(15 eq.(15 NNP cord-259534-hpyf0uj6 141 8 ) ) -RRB- cord-259534-hpyf0uj6 141 9 in in IN cord-259534-hpyf0uj6 141 10 a a DT cord-259534-hpyf0uj6 141 11 subset subset JJ cord-259534-hpyf0uj6 141 12 C c NN cord-259534-hpyf0uj6 141 13 of of IN cord-259534-hpyf0uj6 141 14 the the DT cord-259534-hpyf0uj6 141 15 Banach Banach NNP cord-259534-hpyf0uj6 141 16 space space NN cord-259534-hpyf0uj6 141 17 X x NN cord-259534-hpyf0uj6 141 18 of of IN cord-259534-hpyf0uj6 141 19 continues continue NNS cord-259534-hpyf0uj6 141 20 functions function NNS cord-259534-hpyf0uj6 141 21 defined define VBN cord-259534-hpyf0uj6 141 22 as as IN cord-259534-hpyf0uj6 141 23 below below RB cord-259534-hpyf0uj6 141 24 equipped equip VBN cord-259534-hpyf0uj6 141 25 with with IN cord-259534-hpyf0uj6 141 26 the the DT cord-259534-hpyf0uj6 141 27 supremum supremum JJ cord-259534-hpyf0uj6 141 28 norm norm NN cord-259534-hpyf0uj6 141 29 of of IN cord-259534-hpyf0uj6 141 30 the the DT cord-259534-hpyf0uj6 141 31 form form NN cord-259534-hpyf0uj6 141 32 : : : cord-259534-hpyf0uj6 141 33 where where WRB cord-259534-hpyf0uj6 141 34 C(I C(I NNP cord-259534-hpyf0uj6 141 35 , , , cord-259534-hpyf0uj6 141 36 X X NNP cord-259534-hpyf0uj6 141 37 ) ) -RRB- cord-259534-hpyf0uj6 141 38 be be VB cord-259534-hpyf0uj6 141 39 the the DT cord-259534-hpyf0uj6 141 40 Banach banach JJ cord-259534-hpyf0uj6 141 41 space space NN cord-259534-hpyf0uj6 141 42 of of IN cord-259534-hpyf0uj6 141 43 all all DT cord-259534-hpyf0uj6 141 44 continuous continuous JJ cord-259534-hpyf0uj6 141 45 functions function NNS cord-259534-hpyf0uj6 141 46 from from IN cord-259534-hpyf0uj6 141 47 I -PRON- PRP cord-259534-hpyf0uj6 141 48 into into IN cord-259534-hpyf0uj6 141 49 X. X. NNP cord-259534-hpyf0uj6 142 1 Here here RB cord-259534-hpyf0uj6 142 2 the the DT cord-259534-hpyf0uj6 142 3 Bielecki Bielecki NNP cord-259534-hpyf0uj6 142 4 's 's POS cord-259534-hpyf0uj6 142 5 norm norm NN cord-259534-hpyf0uj6 142 6 is be VBZ cord-259534-hpyf0uj6 142 7 defined define VBN cord-259534-hpyf0uj6 142 8 as as IN cord-259534-hpyf0uj6 142 9 : : : cord-259534-hpyf0uj6 142 10 ||x|| ||x|| NN cord-259534-hpyf0uj6 142 11 = = SYM cord-259534-hpyf0uj6 142 12 sup sup NN cord-259534-hpyf0uj6 142 13 θ∈I θ∈i NN cord-259534-hpyf0uj6 142 14 e e NN cord-259534-hpyf0uj6 142 15 −θ −θ NNP cord-259534-hpyf0uj6 142 16 |x(θ)| |x(θ)| : cord-259534-hpyf0uj6 142 17 for for IN cord-259534-hpyf0uj6 142 18 x x LS cord-259534-hpyf0uj6 142 19 ∈ ∈ NNP cord-259534-hpyf0uj6 142 20 C(I C(I NNP cord-259534-hpyf0uj6 142 21 , , , cord-259534-hpyf0uj6 142 22 X X NNP cord-259534-hpyf0uj6 142 23 ) ) -RRB- cord-259534-hpyf0uj6 142 24 . . . cord-259534-hpyf0uj6 143 1 In in IN cord-259534-hpyf0uj6 143 2 order order NN cord-259534-hpyf0uj6 143 3 to to TO cord-259534-hpyf0uj6 143 4 obtain obtain VB cord-259534-hpyf0uj6 143 5 our -PRON- PRP$ cord-259534-hpyf0uj6 143 6 claims claim NNS cord-259534-hpyf0uj6 143 7 , , , cord-259534-hpyf0uj6 143 8 we -PRON- PRP cord-259534-hpyf0uj6 143 9 will will MD cord-259534-hpyf0uj6 143 10 need need VB cord-259534-hpyf0uj6 143 11 the the DT cord-259534-hpyf0uj6 143 12 following follow VBG cord-259534-hpyf0uj6 143 13 assumptions assumption NNS cord-259534-hpyf0uj6 143 14 . . . cord-259534-hpyf0uj6 143 15 _SP cord-259534-hpyf0uj6 144 1 A a DT cord-259534-hpyf0uj6 144 2 fixed fixed JJ cord-259534-hpyf0uj6 144 3 point point NN cord-259534-hpyf0uj6 144 4 of of IN cord-259534-hpyf0uj6 144 5 the the DT cord-259534-hpyf0uj6 144 6 operator operator NN cord-259534-hpyf0uj6 144 7 O o UH cord-259534-hpyf0uj6 144 8 be be VB cord-259534-hpyf0uj6 144 9 a a DT cord-259534-hpyf0uj6 144 10 solution solution NN cord-259534-hpyf0uj6 144 11 of of IN cord-259534-hpyf0uj6 144 12 Eq Eq NNP cord-259534-hpyf0uj6 144 13 . . . cord-259534-hpyf0uj6 145 1 ( ( -LRB- cord-259534-hpyf0uj6 145 2 15 15 CD cord-259534-hpyf0uj6 145 3 ) ) -RRB- cord-259534-hpyf0uj6 145 4 . . . cord-259534-hpyf0uj6 146 1 In in IN cord-259534-hpyf0uj6 146 2 order order NN cord-259534-hpyf0uj6 146 3 to to TO cord-259534-hpyf0uj6 146 4 fulfil fulfil VB cord-259534-hpyf0uj6 146 5 all all PDT cord-259534-hpyf0uj6 146 6 the the DT cord-259534-hpyf0uj6 146 7 assumptions assumption NNS cord-259534-hpyf0uj6 146 8 of of IN cord-259534-hpyf0uj6 146 9 Theorem Theorem NNP cord-259534-hpyf0uj6 146 10 5.1 5.1 CD cord-259534-hpyf0uj6 146 11 , , , cord-259534-hpyf0uj6 146 12 let let VB cord-259534-hpyf0uj6 146 13 us -PRON- PRP cord-259534-hpyf0uj6 146 14 consider consider VB cord-259534-hpyf0uj6 146 15 a a DT cord-259534-hpyf0uj6 146 16 function function NN cord-259534-hpyf0uj6 146 17 F(x F(x NNP cord-259534-hpyf0uj6 146 18 ) ) -RRB- cord-259534-hpyf0uj6 146 19 = = NFP cord-259534-hpyf0uj6 146 20 log(x log(x NN cord-259534-hpyf0uj6 146 21 ) ) -RRB- cord-259534-hpyf0uj6 146 22 ; ; . cord-259534-hpyf0uj6 147 1 x x LS cord-259534-hpyf0uj6 147 2 > > XX cord-259534-hpyf0uj6 147 3 0 0 NFP cord-259534-hpyf0uj6 147 4 and and CC cord-259534-hpyf0uj6 147 5 ξ ξ VBZ cord-259534-hpyf0uj6 147 6 : : : cord-259534-hpyf0uj6 147 7 ( ( -LRB- cord-259534-hpyf0uj6 147 8 0 0 NFP cord-259534-hpyf0uj6 147 9 , , , cord-259534-hpyf0uj6 147 10 ∞ ∞ NNP cord-259534-hpyf0uj6 147 11 ) ) -RRB- cord-259534-hpyf0uj6 147 12 → → XX cord-259534-hpyf0uj6 147 13 ( ( -LRB- cord-259534-hpyf0uj6 147 14 0 0 NFP cord-259534-hpyf0uj6 147 15 , , , cord-259534-hpyf0uj6 147 16 ∞ ∞ NNP cord-259534-hpyf0uj6 147 17 ) ) -RRB- cord-259534-hpyf0uj6 147 18 of of IN cord-259534-hpyf0uj6 147 19 the the DT cord-259534-hpyf0uj6 147 20 form form NN cord-259534-hpyf0uj6 147 21 : : : cord-259534-hpyf0uj6 147 22 Now now RB cord-259534-hpyf0uj6 147 23 , , , cord-259534-hpyf0uj6 147 24 from from IN cord-259534-hpyf0uj6 147 25 the the DT cord-259534-hpyf0uj6 147 26 hypothesis hypothesis NN cord-259534-hpyf0uj6 147 27 of of IN cord-259534-hpyf0uj6 147 28 the the DT cord-259534-hpyf0uj6 147 29 theorem theorem NN cord-259534-hpyf0uj6 147 30 we -PRON- PRP cord-259534-hpyf0uj6 147 31 have have VBP cord-259534-hpyf0uj6 147 32 , , , cord-259534-hpyf0uj6 147 33 for for IN cord-259534-hpyf0uj6 147 34 all all DT cord-259534-hpyf0uj6 147 35 x x NNS cord-259534-hpyf0uj6 147 36 , , , cord-259534-hpyf0uj6 147 37 y y NNP cord-259534-hpyf0uj6 147 38 ∈ ∈ NNP cord-259534-hpyf0uj6 147 39 C(I C(I NNP cord-259534-hpyf0uj6 147 40 , , , cord-259534-hpyf0uj6 147 41 X X NNP cord-259534-hpyf0uj6 147 42 ) ) -RRB- cord-259534-hpyf0uj6 147 43 satisfying satisfy VBG cord-259534-hpyf0uj6 147 44 σ σ NNP cord-259534-hpyf0uj6 147 45 n−1 n−1 NNP cord-259534-hpyf0uj6 147 46 ≤ ≤ NNS cord-259534-hpyf0uj6 147 47 ||x ||x NN cord-259534-hpyf0uj6 147 48 − − NN cord-259534-hpyf0uj6 147 49 y|| y|| NNP cord-259534-hpyf0uj6 148 1 < < XX cord-259534-hpyf0uj6 149 1 σ σ NNP cord-259534-hpyf0uj6 149 2 n n NNP cord-259534-hpyf0uj6 149 3 when when WRB cord-259534-hpyf0uj6 149 4 n n NN cord-259534-hpyf0uj6 149 5 ≥ ≥ CD cord-259534-hpyf0uj6 149 6 2 2 CD cord-259534-hpyf0uj6 149 7 and and CC cord-259534-hpyf0uj6 149 8 0 0 CD cord-259534-hpyf0uj6 150 1 < < XX cord-259534-hpyf0uj6 150 2 ||x ||x NNP cord-259534-hpyf0uj6 150 3 − − NNP cord-259534-hpyf0uj6 151 1 y|| y|| RB cord-259534-hpyf0uj6 152 1 < < XX cord-259534-hpyf0uj6 153 1 σ σ NNP cord-259534-hpyf0uj6 153 2 1 1 CD cord-259534-hpyf0uj6 153 3 for for IN cord-259534-hpyf0uj6 153 4 n n NN cord-259534-hpyf0uj6 153 5 = = SYM cord-259534-hpyf0uj6 153 6 1 1 CD cord-259534-hpyf0uj6 153 7 . . . cord-259534-hpyf0uj6 154 1 Now now RB cord-259534-hpyf0uj6 154 2 our -PRON- PRP$ cord-259534-hpyf0uj6 154 3 task task NN cord-259534-hpyf0uj6 154 4 is be VBZ cord-259534-hpyf0uj6 154 5 to to TO cord-259534-hpyf0uj6 154 6 show show VB cord-259534-hpyf0uj6 154 7 that that IN cord-259534-hpyf0uj6 154 8 O o NN cord-259534-hpyf0uj6 154 9 satisfies satisfy VBZ cord-259534-hpyf0uj6 154 10 Eq Eq NNP cord-259534-hpyf0uj6 154 11 . . . cord-259534-hpyf0uj6 155 1 ( ( -LRB- cord-259534-hpyf0uj6 155 2 17 17 CD cord-259534-hpyf0uj6 155 3 ) ) -RRB- cord-259534-hpyf0uj6 155 4 . . . cord-259534-hpyf0uj6 156 1 A a LS cord-259534-hpyf0uj6 156 2 ( ( -LRB- cord-259534-hpyf0uj6 156 3 ψ ψ FW cord-259534-hpyf0uj6 156 4 , , , cord-259534-hpyf0uj6 156 5 S(ψ S(ψ NNP cord-259534-hpyf0uj6 156 6 ) ) -RRB- cord-259534-hpyf0uj6 156 7 , , , cord-259534-hpyf0uj6 156 8 C(ψ C(ψ NNP cord-259534-hpyf0uj6 156 9 ) ) -RRB- cord-259534-hpyf0uj6 156 10 , , , cord-259534-hpyf0uj6 156 11 I(ψ I(ψ NNP cord-259534-hpyf0uj6 156 12 ) ) -RRB- cord-259534-hpyf0uj6 156 13 , , , cord-259534-hpyf0uj6 156 14 R(ψ R(ψ NNP cord-259534-hpyf0uj6 156 15 ) ) -RRB- cord-259534-hpyf0uj6 156 16 , , , cord-259534-hpyf0uj6 156 17 D(ψ d(ψ NN cord-259534-hpyf0uj6 156 18 ) ) -RRB- cord-259534-hpyf0uj6 156 19 ) ) -RRB- cord-259534-hpyf0uj6 157 1 − − NNP cord-259534-hpyf0uj6 158 1 A a DT cord-259534-hpyf0uj6 158 2 * * NFP cord-259534-hpyf0uj6 158 3 ( ( -LRB- cord-259534-hpyf0uj6 158 4 ψ ψ NNP cord-259534-hpyf0uj6 158 5 , , , cord-259534-hpyf0uj6 158 6 S(ψ S(ψ NNP cord-259534-hpyf0uj6 158 7 ) ) -RRB- cord-259534-hpyf0uj6 158 8 , , , cord-259534-hpyf0uj6 158 9 C(ψ C(ψ NNP cord-259534-hpyf0uj6 158 10 ) ) -RRB- cord-259534-hpyf0uj6 158 11 , , , cord-259534-hpyf0uj6 158 12 I(ψ I(ψ NNP cord-259534-hpyf0uj6 158 13 ) ) -RRB- cord-259534-hpyf0uj6 158 14 , , , cord-259534-hpyf0uj6 158 15 R(ψ R(ψ NNP cord-259534-hpyf0uj6 158 16 ) ) -RRB- cord-259534-hpyf0uj6 158 17 , , , cord-259534-hpyf0uj6 158 18 D(ψ d(ψ NN cord-259534-hpyf0uj6 158 19 ) ) -RRB- cord-259534-hpyf0uj6 158 20 ) ) -RRB- cord-259534-hpyf0uj6 159 1 A a DT cord-259534-hpyf0uj6 159 2 ( ( -LRB- cord-259534-hpyf0uj6 159 3 θ θ NN cord-259534-hpyf0uj6 159 4 , , , cord-259534-hpyf0uj6 159 5 S(θ S(θ NNP cord-259534-hpyf0uj6 159 6 ) ) -RRB- cord-259534-hpyf0uj6 159 7 , , , cord-259534-hpyf0uj6 159 8 C(θ C(θ -RRB- cord-259534-hpyf0uj6 159 9 ) ) -RRB- cord-259534-hpyf0uj6 159 10 , , , cord-259534-hpyf0uj6 159 11 I(θ I(θ NNP cord-259534-hpyf0uj6 159 12 ) ) -RRB- cord-259534-hpyf0uj6 159 13 , , , cord-259534-hpyf0uj6 159 14 R(θ R(θ NNP cord-259534-hpyf0uj6 159 15 ) ) -RRB- cord-259534-hpyf0uj6 159 16 , , , cord-259534-hpyf0uj6 159 17 D(θ D(θ NNP cord-259534-hpyf0uj6 159 18 ) ) -RRB- cord-259534-hpyf0uj6 159 19 ) ) -RRB- cord-259534-hpyf0uj6 160 1 − − NNP cord-259534-hpyf0uj6 161 1 A a DT cord-259534-hpyf0uj6 161 2 * * NFP cord-259534-hpyf0uj6 161 3 ( ( -LRB- cord-259534-hpyf0uj6 161 4 θ θ NN cord-259534-hpyf0uj6 161 5 , , , cord-259534-hpyf0uj6 161 6 S(θ S(θ NNP cord-259534-hpyf0uj6 161 7 ) ) -RRB- cord-259534-hpyf0uj6 161 8 , , , cord-259534-hpyf0uj6 161 9 C(θ C(θ -RRB- cord-259534-hpyf0uj6 161 10 ) ) -RRB- cord-259534-hpyf0uj6 161 11 , , , cord-259534-hpyf0uj6 161 12 I(θ I(θ NNP cord-259534-hpyf0uj6 161 13 ) ) -RRB- cord-259534-hpyf0uj6 161 14 , , , cord-259534-hpyf0uj6 161 15 R(θ R(θ NNP cord-259534-hpyf0uj6 161 16 ) ) -RRB- cord-259534-hpyf0uj6 161 17 , , , cord-259534-hpyf0uj6 161 18 D(θ D(θ NNP cord-259534-hpyf0uj6 161 19 ) ) -RRB- cord-259534-hpyf0uj6 161 20 ) ) -RRB- cord-259534-hpyf0uj6 161 21 _SP cord-259534-hpyf0uj6 162 1 ✂ ✂ NNP cord-259534-hpyf0uj6 163 1 π π LS cord-259534-hpyf0uj6 163 2 2 2 CD cord-259534-hpyf0uj6 163 3 0 0 CD cord-259534-hpyf0uj6 163 4 θ θ NN cord-259534-hpyf0uj6 163 5 1−β 1−β CD cord-259534-hpyf0uj6 163 6 sin sin NN cord-259534-hpyf0uj6 163 7 2−2β 2−2β CD cord-259534-hpyf0uj6 163 8 γ γ NN cord-259534-hpyf0uj6 163 9 θ θ NN cord-259534-hpyf0uj6 163 10 α−1 α−1 XX cord-259534-hpyf0uj6 163 11 cos cos NN cord-259534-hpyf0uj6 163 12 2 2 CD cord-259534-hpyf0uj6 163 13 α−2 α−2 CD cord-259534-hpyf0uj6 163 14 γ γ NN cord-259534-hpyf0uj6 163 15 2 2 CD cord-259534-hpyf0uj6 163 16 t t NN cord-259534-hpyf0uj6 163 17 sin sin NN cord-259534-hpyf0uj6 163 18 γ γ NNP cord-259534-hpyf0uj6 163 19 cos cos NNP cord-259534-hpyf0uj6 163 20 γdγ γdγ NNP cord-259534-hpyf0uj6 163 21 ( ( -LRB- cord-259534-hpyf0uj6 163 22 18 18 CD cord-259534-hpyf0uj6 163 23 ) ) -RRB- cord-259534-hpyf0uj6 163 24 < < XX cord-259534-hpyf0uj6 163 25 sup sup NNP cord-259534-hpyf0uj6 163 26 θ∈I θ∈I NNP cord-259534-hpyf0uj6 163 27 A A NNP cord-259534-hpyf0uj6 163 28 ( ( -LRB- cord-259534-hpyf0uj6 163 29 θ θ NN cord-259534-hpyf0uj6 163 30 , , , cord-259534-hpyf0uj6 163 31 S(θ S(θ NNP cord-259534-hpyf0uj6 163 32 ) ) -RRB- cord-259534-hpyf0uj6 163 33 , , , cord-259534-hpyf0uj6 163 34 C(θ C(θ -RRB- cord-259534-hpyf0uj6 163 35 ) ) -RRB- cord-259534-hpyf0uj6 163 36 , , , cord-259534-hpyf0uj6 163 37 I(θ I(θ NNP cord-259534-hpyf0uj6 163 38 ) ) -RRB- cord-259534-hpyf0uj6 163 39 , , , cord-259534-hpyf0uj6 163 40 R(θ R(θ NNP cord-259534-hpyf0uj6 163 41 ) ) -RRB- cord-259534-hpyf0uj6 163 42 , , , cord-259534-hpyf0uj6 163 43 D(θ D(θ NNP cord-259534-hpyf0uj6 163 44 ) ) -RRB- cord-259534-hpyf0uj6 163 45 ) ) -RRB- cord-259534-hpyf0uj6 164 1 − − NNP cord-259534-hpyf0uj6 165 1 A a DT cord-259534-hpyf0uj6 165 2 * * NFP cord-259534-hpyf0uj6 165 3 ( ( -LRB- cord-259534-hpyf0uj6 165 4 θ θ NN cord-259534-hpyf0uj6 165 5 , , , cord-259534-hpyf0uj6 165 6 S(θ S(θ NNP cord-259534-hpyf0uj6 165 7 ) ) -RRB- cord-259534-hpyf0uj6 165 8 , , , cord-259534-hpyf0uj6 165 9 C(θ C(θ -RRB- cord-259534-hpyf0uj6 165 10 ) ) -RRB- cord-259534-hpyf0uj6 165 11 , , , cord-259534-hpyf0uj6 165 12 I(θ I(θ NNP cord-259534-hpyf0uj6 165 13 ) ) -RRB- cord-259534-hpyf0uj6 165 14 , , , cord-259534-hpyf0uj6 165 15 R(θ R(θ NNP cord-259534-hpyf0uj6 165 16 ) ) -RRB- cord-259534-hpyf0uj6 165 17 , , , cord-259534-hpyf0uj6 165 18 D(θ D(θ NNP cord-259534-hpyf0uj6 165 19 ) ) -RRB- cord-259534-hpyf0uj6 165 20 ) ) -RRB- cord-259534-hpyf0uj6 165 21 _SP cord-259534-hpyf0uj6 166 1 < < XX cord-259534-hpyf0uj6 166 2 sup sup NNP cord-259534-hpyf0uj6 166 3 θ∈I θ∈I NNP cord-259534-hpyf0uj6 166 4 A A NNP cord-259534-hpyf0uj6 166 5 ( ( -LRB- cord-259534-hpyf0uj6 166 6 θ θ NN cord-259534-hpyf0uj6 166 7 , , , cord-259534-hpyf0uj6 166 8 S(θ S(θ NNP cord-259534-hpyf0uj6 166 9 ) ) -RRB- cord-259534-hpyf0uj6 166 10 , , , cord-259534-hpyf0uj6 166 11 C(θ C(θ -RRB- cord-259534-hpyf0uj6 166 12 ) ) -RRB- cord-259534-hpyf0uj6 166 13 , , , cord-259534-hpyf0uj6 166 14 I(θ I(θ NNP cord-259534-hpyf0uj6 166 15 ) ) -RRB- cord-259534-hpyf0uj6 166 16 , , , cord-259534-hpyf0uj6 166 17 R(θ R(θ NNP cord-259534-hpyf0uj6 166 18 ) ) -RRB- cord-259534-hpyf0uj6 166 19 , , , cord-259534-hpyf0uj6 166 20 D(θ D(θ NNP cord-259534-hpyf0uj6 166 21 ) ) -RRB- cord-259534-hpyf0uj6 166 22 ) ) -RRB- cord-259534-hpyf0uj6 167 1 − − NNP cord-259534-hpyf0uj6 168 1 A a DT cord-259534-hpyf0uj6 168 2 * * NFP cord-259534-hpyf0uj6 168 3 ( ( -LRB- cord-259534-hpyf0uj6 168 4 θ θ NN cord-259534-hpyf0uj6 168 5 , , , cord-259534-hpyf0uj6 168 6 S(θ S(θ NNP cord-259534-hpyf0uj6 168 7 ) ) -RRB- cord-259534-hpyf0uj6 168 8 , , , cord-259534-hpyf0uj6 168 9 C(θ C(θ -RRB- cord-259534-hpyf0uj6 168 10 ) ) -RRB- cord-259534-hpyf0uj6 168 11 , , , cord-259534-hpyf0uj6 168 12 I(θ I(θ NNP cord-259534-hpyf0uj6 168 13 ) ) -RRB- cord-259534-hpyf0uj6 168 14 , , , cord-259534-hpyf0uj6 168 15 R(θ R(θ NNP cord-259534-hpyf0uj6 168 16 ) ) -RRB- cord-259534-hpyf0uj6 168 17 , , , cord-259534-hpyf0uj6 168 18 D(θ D(θ NNP cord-259534-hpyf0uj6 168 19 ) ) -RRB- cord-259534-hpyf0uj6 168 20 ) ) -RRB- cord-259534-hpyf0uj6 169 1 σ σ NNP cord-259534-hpyf0uj6 169 2 n n CC cord-259534-hpyf0uj6 169 3 σ σ NNP cord-259534-hpyf0uj6 170 1 n+1 n+1 NN cord-259534-hpyf0uj6 170 2 ( ( -LRB- cord-259534-hpyf0uj6 170 3 1 1 CD cord-259534-hpyf0uj6 170 4 + + CC cord-259534-hpyf0uj6 170 5 σ σ NN cord-259534-hpyf0uj6 170 6 n n NNP cord-259534-hpyf0uj6 170 7 ( ( -LRB- cord-259534-hpyf0uj6 170 8 σ σ NNP cord-259534-hpyf0uj6 170 9 n n NNP cord-259534-hpyf0uj6 170 10 − − NNP cord-259534-hpyf0uj6 170 11 σ σ NN cord-259534-hpyf0uj6 170 12 n−1 n−1 NNP cord-259534-hpyf0uj6 170 13 ) ) -RRB- cord-259534-hpyf0uj6 170 14 ) ) -RRB- cord-259534-hpyf0uj6 171 1 e e LS cord-259534-hpyf0uj6 172 1 −θσn −θσn CD cord-259534-hpyf0uj6 172 2 e e NNP cord-259534-hpyf0uj6 173 1 −θσ −θσ CD cord-259534-hpyf0uj6 173 2 n+1 n+1 NN cord-259534-hpyf0uj6 173 3 e e NN cord-259534-hpyf0uj6 173 4 θσ θσ NN cord-259534-hpyf0uj6 174 1 n+1 n+1 VBG cord-259534-hpyf0uj6 174 2 Further further RB cord-259534-hpyf0uj6 174 3 , , , cord-259534-hpyf0uj6 174 4 we -PRON- PRP cord-259534-hpyf0uj6 174 5 have have VBP cord-259534-hpyf0uj6 174 6 , , , cord-259534-hpyf0uj6 174 7 e e XX cord-259534-hpyf0uj6 174 8 σn−||A σn−||A NNP cord-259534-hpyf0uj6 175 1 ( ( -LRB- cord-259534-hpyf0uj6 175 2 θ)−A θ)−A NNP cord-259534-hpyf0uj6 176 1 * * NFP cord-259534-hpyf0uj6 176 2 ( ( -LRB- cord-259534-hpyf0uj6 176 3 θ)|| θ)|| NN cord-259534-hpyf0uj6 176 4 < < XX cord-259534-hpyf0uj6 176 5 1 1 CD cord-259534-hpyf0uj6 176 6 + + CC cord-259534-hpyf0uj6 177 1 σ σ NNP cord-259534-hpyf0uj6 177 2 n n NNP cord-259534-hpyf0uj6 177 3 ( ( -LRB- cord-259534-hpyf0uj6 177 4 σ σ NNP cord-259534-hpyf0uj6 177 5 n n NNP cord-259534-hpyf0uj6 177 6 − − NNP cord-259534-hpyf0uj6 177 7 σ σ NN cord-259534-hpyf0uj6 177 8 n−1 n−1 NNS cord-259534-hpyf0uj6 177 9 ) ) -RRB- cord-259534-hpyf0uj6 177 10 . . . cord-259534-hpyf0uj6 177 11 _SP cord-259534-hpyf0uj6 178 1 and and CC cord-259534-hpyf0uj6 178 2 since since IN cord-259534-hpyf0uj6 178 3 σ σ NNP cord-259534-hpyf0uj6 178 4 n+1 n+1 NN cord-259534-hpyf0uj6 178 5 > > XX cord-259534-hpyf0uj6 178 6 1 1 CD cord-259534-hpyf0uj6 178 7 ; ; : cord-259534-hpyf0uj6 178 8 −ψσ −ψσ CD cord-259534-hpyf0uj6 178 9 n+1 n+1 NN cord-259534-hpyf0uj6 178 10 ≤ ≤ NN cord-259534-hpyf0uj6 178 11 −ψ −ψ NNP cord-259534-hpyf0uj6 178 12 for for IN cord-259534-hpyf0uj6 178 13 all all DT cord-259534-hpyf0uj6 178 14 ψ ψ NN cord-259534-hpyf0uj6 178 15 ∈ ∈ NN cord-259534-hpyf0uj6 178 16 I. i. NN cord-259534-hpyf0uj6 179 1 In in IN cord-259534-hpyf0uj6 179 2 consequence consequence NN cord-259534-hpyf0uj6 179 3 the the DT cord-259534-hpyf0uj6 179 4 following following NN cord-259534-hpyf0uj6 179 5 holds hold VBZ cord-259534-hpyf0uj6 179 6 . . . cord-259534-hpyf0uj6 180 1 |OS(θ |OS(θ NNP cord-259534-hpyf0uj6 180 2 ) ) -RRB- cord-259534-hpyf0uj6 181 1 − − UH cord-259534-hpyf0uj6 181 2 OS OS NNP cord-259534-hpyf0uj6 181 3 * * NFP cord-259534-hpyf0uj6 181 4 ( ( -LRB- cord-259534-hpyf0uj6 181 5 θ)| θ)| NN cord-259534-hpyf0uj6 181 6 ≤ ≤ NN cord-259534-hpyf0uj6 181 7 sup sup NN cord-259534-hpyf0uj6 181 8 θ∈I θ∈I NNP cord-259534-hpyf0uj6 181 9 A A NNP cord-259534-hpyf0uj6 181 10 ( ( -LRB- cord-259534-hpyf0uj6 181 11 θ θ NN cord-259534-hpyf0uj6 181 12 , , , cord-259534-hpyf0uj6 181 13 S(θ S(θ NNP cord-259534-hpyf0uj6 181 14 ) ) -RRB- cord-259534-hpyf0uj6 181 15 , , , cord-259534-hpyf0uj6 181 16 C(θ C(θ -RRB- cord-259534-hpyf0uj6 181 17 ) ) -RRB- cord-259534-hpyf0uj6 181 18 , , , cord-259534-hpyf0uj6 181 19 I(θ I(θ NNP cord-259534-hpyf0uj6 181 20 ) ) -RRB- cord-259534-hpyf0uj6 181 21 , , , cord-259534-hpyf0uj6 181 22 R(θ R(θ NNP cord-259534-hpyf0uj6 181 23 ) ) -RRB- cord-259534-hpyf0uj6 181 24 , , , cord-259534-hpyf0uj6 181 25 D(θ D(θ NNP cord-259534-hpyf0uj6 181 26 ) ) -RRB- cord-259534-hpyf0uj6 181 27 ) ) -RRB- cord-259534-hpyf0uj6 182 1 − − NNP cord-259534-hpyf0uj6 183 1 A a DT cord-259534-hpyf0uj6 183 2 * * NFP cord-259534-hpyf0uj6 183 3 ( ( -LRB- cord-259534-hpyf0uj6 183 4 θ θ NN cord-259534-hpyf0uj6 183 5 , , , cord-259534-hpyf0uj6 183 6 S(θ S(θ NNP cord-259534-hpyf0uj6 183 7 ) ) -RRB- cord-259534-hpyf0uj6 183 8 , , , cord-259534-hpyf0uj6 183 9 C(θ C(θ -RRB- cord-259534-hpyf0uj6 183 10 ) ) -RRB- cord-259534-hpyf0uj6 183 11 , , , cord-259534-hpyf0uj6 183 12 I(θ I(θ NNP cord-259534-hpyf0uj6 183 13 ) ) -RRB- cord-259534-hpyf0uj6 183 14 , , , cord-259534-hpyf0uj6 183 15 R(θ R(θ NNP cord-259534-hpyf0uj6 183 16 ) ) -RRB- cord-259534-hpyf0uj6 183 17 , , , cord-259534-hpyf0uj6 183 18 D(θ D(θ NNP cord-259534-hpyf0uj6 183 19 ) ) -RRB- cord-259534-hpyf0uj6 183 20 ) ) -RRB- cord-259534-hpyf0uj6 184 1 × × NNP cord-259534-hpyf0uj6 185 1 σ σ NNP cord-259534-hpyf0uj6 186 1 n n CC cord-259534-hpyf0uj6 186 2 σ σ NNP cord-259534-hpyf0uj6 186 3 n+1 n+1 NN cord-259534-hpyf0uj6 187 1 ( ( -LRB- cord-259534-hpyf0uj6 187 2 e e DT cord-259534-hpyf0uj6 187 3 σn−||A σn−||A NNP cord-259534-hpyf0uj6 187 4 ( ( -LRB- cord-259534-hpyf0uj6 187 5 θ)−A θ)−A NNP cord-259534-hpyf0uj6 187 6 * * NFP cord-259534-hpyf0uj6 187 7 ( ( -LRB- cord-259534-hpyf0uj6 187 8 θ)|| θ)|| NN cord-259534-hpyf0uj6 187 9 ) ) -RRB- cord-259534-hpyf0uj6 187 10 e e LS cord-259534-hpyf0uj6 187 11 −θσ −θσ CD cord-259534-hpyf0uj6 187 12 n+1 n+1 NN cord-259534-hpyf0uj6 187 13 e e NN cord-259534-hpyf0uj6 187 14 θ(σ θ(σ NNP cord-259534-hpyf0uj6 187 15 n+1 n+1 NN cord-259534-hpyf0uj6 187 16 −σn −σn CD cord-259534-hpyf0uj6 187 17 ) ) -RRB- cord-259534-hpyf0uj6 188 1 Using use VBG cord-259534-hpyf0uj6 188 2 the the DT cord-259534-hpyf0uj6 188 3 properties property NNS cord-259534-hpyf0uj6 188 4 of of IN cord-259534-hpyf0uj6 188 5 the the DT cord-259534-hpyf0uj6 188 6 sequence sequence NN cord-259534-hpyf0uj6 188 7 ( ( -LRB- cord-259534-hpyf0uj6 188 8 σ σ NNP cord-259534-hpyf0uj6 188 9 n n NNP cord-259534-hpyf0uj6 188 10 ) ) -RRB- cord-259534-hpyf0uj6 188 11 , , , cord-259534-hpyf0uj6 188 12 we -PRON- PRP cord-259534-hpyf0uj6 188 13 get get VBP cord-259534-hpyf0uj6 188 14 , , , cord-259534-hpyf0uj6 189 1 Thus thus RB cord-259534-hpyf0uj6 189 2 O o UH cord-259534-hpyf0uj6 189 3 satisfied satisfy VBD cord-259534-hpyf0uj6 189 4 Eq eq NN cord-259534-hpyf0uj6 189 5 . . . cord-259534-hpyf0uj6 190 1 ( ( -LRB- cord-259534-hpyf0uj6 190 2 17 17 CD cord-259534-hpyf0uj6 190 3 ) ) -RRB- cord-259534-hpyf0uj6 190 4 . . . cord-259534-hpyf0uj6 191 1 Hence hence RB cord-259534-hpyf0uj6 191 2 all all PDT cord-259534-hpyf0uj6 191 3 the the DT cord-259534-hpyf0uj6 191 4 conditions condition NNS cord-259534-hpyf0uj6 191 5 of of IN cord-259534-hpyf0uj6 191 6 Theorem theorem NN cord-259534-hpyf0uj6 191 7 5.1 5.1 CD cord-259534-hpyf0uj6 191 8 satisfied satisfied JJ cord-259534-hpyf0uj6 191 9 . . . cord-259534-hpyf0uj6 192 1 Thus thus RB cord-259534-hpyf0uj6 192 2 the the DT cord-259534-hpyf0uj6 192 3 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 192 4 model model NN cord-259534-hpyf0uj6 192 5 of of IN cord-259534-hpyf0uj6 192 6 type type NN cord-259534-hpyf0uj6 192 7 SCIRD SCIRD NNP cord-259534-hpyf0uj6 192 8 has have VBZ cord-259534-hpyf0uj6 192 9 a a DT cord-259534-hpyf0uj6 192 10 unique unique JJ cord-259534-hpyf0uj6 192 11 solution solution NN cord-259534-hpyf0uj6 192 12 . . . cord-259534-hpyf0uj6 193 1 There there EX cord-259534-hpyf0uj6 193 2 is be VBZ cord-259534-hpyf0uj6 193 3 a a DT cord-259534-hpyf0uj6 193 4 drastic drastic JJ cord-259534-hpyf0uj6 193 5 increase increase NN cord-259534-hpyf0uj6 193 6 for for IN cord-259534-hpyf0uj6 193 7 utilizing utilize VBG cord-259534-hpyf0uj6 193 8 mathematical mathematical JJ cord-259534-hpyf0uj6 193 9 modeling modeling NN cord-259534-hpyf0uj6 193 10 in in IN cord-259534-hpyf0uj6 193 11 the the DT cord-259534-hpyf0uj6 193 12 study study NN cord-259534-hpyf0uj6 193 13 of of IN cord-259534-hpyf0uj6 193 14 epidemiology epidemiology NN cord-259534-hpyf0uj6 193 15 diseases disease NNS cord-259534-hpyf0uj6 193 16 . . . cord-259534-hpyf0uj6 194 1 Mathematical mathematical JJ cord-259534-hpyf0uj6 194 2 models model NNS cord-259534-hpyf0uj6 194 3 may may MD cord-259534-hpyf0uj6 194 4 predict predict VB cord-259534-hpyf0uj6 194 5 how how WRB cord-259534-hpyf0uj6 194 6 infectious infectious JJ cord-259534-hpyf0uj6 194 7 diseases disease NNS cord-259534-hpyf0uj6 194 8 advance advance VBP cord-259534-hpyf0uj6 194 9 to to TO cord-259534-hpyf0uj6 194 10 demonstrate demonstrate VB cord-259534-hpyf0uj6 194 11 the the DT cord-259534-hpyf0uj6 194 12 possible possible JJ cord-259534-hpyf0uj6 194 13 result result NN cord-259534-hpyf0uj6 194 14 of of IN cord-259534-hpyf0uj6 194 15 an an DT cord-259534-hpyf0uj6 194 16 outbreak outbreak NN cord-259534-hpyf0uj6 194 17 , , , cord-259534-hpyf0uj6 194 18 and and CC cord-259534-hpyf0uj6 194 19 help help VB cord-259534-hpyf0uj6 194 20 support support VB cord-259534-hpyf0uj6 194 21 initiatives initiative NNS cord-259534-hpyf0uj6 194 22 in in IN cord-259534-hpyf0uj6 194 23 public public JJ cord-259534-hpyf0uj6 194 24 health health NN cord-259534-hpyf0uj6 194 25 . . . cord-259534-hpyf0uj6 195 1 In in IN cord-259534-hpyf0uj6 195 2 the the DT cord-259534-hpyf0uj6 195 3 present present JJ cord-259534-hpyf0uj6 195 4 situation situation NN cord-259534-hpyf0uj6 195 5 , , , cord-259534-hpyf0uj6 195 6 the the DT cord-259534-hpyf0uj6 195 7 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 195 8 terrifies terrify VBZ cord-259534-hpyf0uj6 195 9 the the DT cord-259534-hpyf0uj6 195 10 world world NN cord-259534-hpyf0uj6 195 11 . . . cord-259534-hpyf0uj6 196 1 In in IN cord-259534-hpyf0uj6 196 2 this this DT cord-259534-hpyf0uj6 196 3 article article NN cord-259534-hpyf0uj6 196 4 , , , cord-259534-hpyf0uj6 196 5 we -PRON- PRP cord-259534-hpyf0uj6 196 6 presented present VBD cord-259534-hpyf0uj6 196 7 new new JJ cord-259534-hpyf0uj6 196 8 insights insight NNS cord-259534-hpyf0uj6 196 9 of of IN cord-259534-hpyf0uj6 196 10 existence existence NN cord-259534-hpyf0uj6 196 11 and and CC cord-259534-hpyf0uj6 196 12 uniqueness uniqueness NN cord-259534-hpyf0uj6 196 13 solutions solution NNS cord-259534-hpyf0uj6 196 14 of of IN cord-259534-hpyf0uj6 196 15 the the DT cord-259534-hpyf0uj6 196 16 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 196 17 models model NNS cord-259534-hpyf0uj6 196 18 via via IN cord-259534-hpyf0uj6 196 19 fractional fractional JJ cord-259534-hpyf0uj6 196 20 and and CC cord-259534-hpyf0uj6 196 21 fractal fractal JJ cord-259534-hpyf0uj6 196 22 - - HYPH cord-259534-hpyf0uj6 196 23 fractional fractional JJ cord-259534-hpyf0uj6 196 24 operators operator NNS cord-259534-hpyf0uj6 196 25 by by IN cord-259534-hpyf0uj6 196 26 using use VBG cord-259534-hpyf0uj6 196 27 fixed fix VBN cord-259534-hpyf0uj6 196 28 point point NN cord-259534-hpyf0uj6 196 29 methods method NNS cord-259534-hpyf0uj6 196 30 . . . cord-259534-hpyf0uj6 197 1 A a DT cord-259534-hpyf0uj6 197 2 few few JJ cord-259534-hpyf0uj6 197 3 words word NNS cord-259534-hpyf0uj6 197 4 about about IN cord-259534-hpyf0uj6 197 5 possible possible JJ cord-259534-hpyf0uj6 197 6 extensions extension NNS cord-259534-hpyf0uj6 197 7 of of IN cord-259534-hpyf0uj6 197 8 the the DT cord-259534-hpyf0uj6 197 9 preceding precede VBG cord-259534-hpyf0uj6 197 10 conclusions conclusion NNS cord-259534-hpyf0uj6 197 11 : : : cord-259534-hpyf0uj6 197 12 ❼ ❼ CD cord-259534-hpyf0uj6 197 13 Fixed fix VBN cord-259534-hpyf0uj6 197 14 point point NN cord-259534-hpyf0uj6 197 15 method method NN cord-259534-hpyf0uj6 197 16 for for IN cord-259534-hpyf0uj6 197 17 correlation correlation NN cord-259534-hpyf0uj6 197 18 between between IN cord-259534-hpyf0uj6 197 19 the the DT cord-259534-hpyf0uj6 197 20 weather weather NN cord-259534-hpyf0uj6 197 21 conditions condition NNS cord-259534-hpyf0uj6 197 22 and and CC cord-259534-hpyf0uj6 197 23 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 197 24 model model NN cord-259534-hpyf0uj6 197 25 of of IN cord-259534-hpyf0uj6 197 26 type type NN cord-259534-hpyf0uj6 197 27 SEIARM SEIARM NNP cord-259534-hpyf0uj6 197 28 in in IN cord-259534-hpyf0uj6 197 29 India India NNP cord-259534-hpyf0uj6 197 30 . . . cord-259534-hpyf0uj6 197 31 ❼ ❼ CD cord-259534-hpyf0uj6 198 1 Fixed fix VBN cord-259534-hpyf0uj6 198 2 point point NN cord-259534-hpyf0uj6 198 3 method method NN cord-259534-hpyf0uj6 198 4 for for IN cord-259534-hpyf0uj6 198 5 correlation correlation NN cord-259534-hpyf0uj6 198 6 between between IN cord-259534-hpyf0uj6 198 7 the the DT cord-259534-hpyf0uj6 198 8 weather weather NN cord-259534-hpyf0uj6 198 9 conditions condition NNS cord-259534-hpyf0uj6 198 10 and and CC cord-259534-hpyf0uj6 198 11 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 198 12 model model NN cord-259534-hpyf0uj6 198 13 of of IN cord-259534-hpyf0uj6 198 14 type type NN cord-259534-hpyf0uj6 198 15 SCIRD SCIRD NNP cord-259534-hpyf0uj6 198 16 in in IN cord-259534-hpyf0uj6 198 17 Spain Spain NNP cord-259534-hpyf0uj6 198 18 . . . cord-259534-hpyf0uj6 199 1 ❼ ❼ LS cord-259534-hpyf0uj6 200 1 Fixed fix VBN cord-259534-hpyf0uj6 200 2 point point NN cord-259534-hpyf0uj6 200 3 method method NN cord-259534-hpyf0uj6 200 4 for for IN cord-259534-hpyf0uj6 200 5 correlation correlation NN cord-259534-hpyf0uj6 200 6 between between IN cord-259534-hpyf0uj6 200 7 the the DT cord-259534-hpyf0uj6 200 8 weather weather NN cord-259534-hpyf0uj6 200 9 conditions condition NNS cord-259534-hpyf0uj6 200 10 and and CC cord-259534-hpyf0uj6 200 11 2019-nCoV 2019-ncov CD cord-259534-hpyf0uj6 200 12 model model NN cord-259534-hpyf0uj6 200 13 of of IN cord-259534-hpyf0uj6 200 14 type type NN cord-259534-hpyf0uj6 200 15 SIDARTHE SIDARTHE NNP cord-259534-hpyf0uj6 200 16 in in IN cord-259534-hpyf0uj6 200 17 Italy Italy NNP cord-259534-hpyf0uj6 200 18 . . . cord-259534-hpyf0uj6 201 1 Funding funding NN cord-259534-hpyf0uj6 201 2 : : : cord-259534-hpyf0uj6 202 1 Funding funding NN cord-259534-hpyf0uj6 202 2 is be VBZ cord-259534-hpyf0uj6 202 3 not not RB cord-259534-hpyf0uj6 202 4 applicable applicable JJ cord-259534-hpyf0uj6 202 5 for for IN cord-259534-hpyf0uj6 202 6 this this DT cord-259534-hpyf0uj6 202 7 research research NN cord-259534-hpyf0uj6 202 8 paper paper NN cord-259534-hpyf0uj6 202 9 . . . cord-259534-hpyf0uj6 203 1 Competing compete VBG cord-259534-hpyf0uj6 203 2 Interest interest NN cord-259534-hpyf0uj6 203 3 : : : cord-259534-hpyf0uj6 204 1 The the DT cord-259534-hpyf0uj6 204 2 authors author NNS cord-259534-hpyf0uj6 204 3 declare declare VBP cord-259534-hpyf0uj6 204 4 that that IN cord-259534-hpyf0uj6 204 5 they -PRON- PRP cord-259534-hpyf0uj6 204 6 have have VBP cord-259534-hpyf0uj6 204 7 no no DT cord-259534-hpyf0uj6 204 8 competing compete VBG cord-259534-hpyf0uj6 204 9 interests interest NNS cord-259534-hpyf0uj6 204 10 . . . cord-259534-hpyf0uj6 205 1 Authors author NNS cord-259534-hpyf0uj6 205 2 Contributions contribution NNS cord-259534-hpyf0uj6 205 3 : : : cord-259534-hpyf0uj6 206 1 All all DT cord-259534-hpyf0uj6 206 2 authors author NNS cord-259534-hpyf0uj6 206 3 contributed contribute VBD cord-259534-hpyf0uj6 206 4 equally equally RB cord-259534-hpyf0uj6 206 5 and and CC cord-259534-hpyf0uj6 206 6 significantly significantly RB cord-259534-hpyf0uj6 206 7 in in IN cord-259534-hpyf0uj6 206 8 writing write VBG cord-259534-hpyf0uj6 206 9 this this DT cord-259534-hpyf0uj6 206 10 article article NN cord-259534-hpyf0uj6 206 11 . . . cord-259534-hpyf0uj6 207 1 All all DT cord-259534-hpyf0uj6 207 2 authors author NNS cord-259534-hpyf0uj6 207 3 read read VBP cord-259534-hpyf0uj6 207 4 and and CC cord-259534-hpyf0uj6 207 5 approved approve VBD cord-259534-hpyf0uj6 207 6 the the DT cord-259534-hpyf0uj6 207 7 final final JJ cord-259534-hpyf0uj6 207 8 manuscript manuscript NN cord-259534-hpyf0uj6 207 9 . . . cord-259534-hpyf0uj6 208 1 Evaluation Evaluation NNP cord-259534-hpyf0uj6 208 2 and and CC cord-259534-hpyf0uj6 208 3 Treatment Treatment NNP cord-259534-hpyf0uj6 208 4 Coronavirus Coronavirus NNP cord-259534-hpyf0uj6 208 5 ( ( -LRB- cord-259534-hpyf0uj6 208 6 COVID-19 COVID-19 NNP cord-259534-hpyf0uj6 208 7 ) ) -RRB- cord-259534-hpyf0uj6 208 8 , , , cord-259534-hpyf0uj6 208 9 StatPearls StatPearls NNP cord-259534-hpyf0uj6 208 10 . . . cord-259534-hpyf0uj6 209 1 StatPearls StatPearls NNP cord-259534-hpyf0uj6 209 2 PublishingStatPearls publishingstatpearls CD cord-259534-hpyf0uj6 209 3 Publishing Publishing NNP cord-259534-hpyf0uj6 209 4 LLC LLC NNP cord-259534-hpyf0uj6 209 5 Clinical Clinical NNP cord-259534-hpyf0uj6 209 6 features feature NNS cord-259534-hpyf0uj6 209 7 of of IN cord-259534-hpyf0uj6 209 8 patients patient NNS cord-259534-hpyf0uj6 209 9 infected infect VBN cord-259534-hpyf0uj6 209 10 with with IN cord-259534-hpyf0uj6 209 11 2019 2019 CD cord-259534-hpyf0uj6 209 12 novel novel JJ cord-259534-hpyf0uj6 209 13 coronavirus coronavirus NN cord-259534-hpyf0uj6 209 14 in in IN cord-259534-hpyf0uj6 209 15 Wuhan Wuhan NNP cord-259534-hpyf0uj6 209 16 , , , cord-259534-hpyf0uj6 209 17 China China NNP cord-259534-hpyf0uj6 209 18 Rapid Rapid NNP cord-259534-hpyf0uj6 209 19 cloning cloning NN cord-259534-hpyf0uj6 209 20 of of IN cord-259534-hpyf0uj6 209 21 high high JJ cord-259534-hpyf0uj6 209 22 - - HYPH cord-259534-hpyf0uj6 209 23 affinity affinity NN cord-259534-hpyf0uj6 209 24 human human JJ cord-259534-hpyf0uj6 209 25 monoclonal monoclonal JJ cord-259534-hpyf0uj6 209 26 antibodies antibody NNS cord-259534-hpyf0uj6 209 27 against against IN cord-259534-hpyf0uj6 209 28 influenza influenza NN cord-259534-hpyf0uj6 209 29 virus virus NN cord-259534-hpyf0uj6 209 30 Modeling model VBG cord-259534-hpyf0uj6 209 31 the the DT cord-259534-hpyf0uj6 209 32 dynamics dynamic NNS cord-259534-hpyf0uj6 209 33 of of IN cord-259534-hpyf0uj6 209 34 novel novel JJ cord-259534-hpyf0uj6 209 35 coronavirus coronavirus NN cord-259534-hpyf0uj6 209 36 ( ( -LRB- cord-259534-hpyf0uj6 209 37 2019-nCov 2019-ncov CD cord-259534-hpyf0uj6 209 38 ) ) -RRB- cord-259534-hpyf0uj6 209 39 with with IN cord-259534-hpyf0uj6 209 40 fractional fractional JJ cord-259534-hpyf0uj6 209 41 derivative derivative NN cord-259534-hpyf0uj6 209 42 Modelling Modelling NNP cord-259534-hpyf0uj6 209 43 the the DT cord-259534-hpyf0uj6 209 44 COVID-19 covid-19 JJ cord-259534-hpyf0uj6 209 45 epidemic epidemic NN cord-259534-hpyf0uj6 209 46 and and CC cord-259534-hpyf0uj6 209 47 implementation implementation NN cord-259534-hpyf0uj6 209 48 of of IN cord-259534-hpyf0uj6 209 49 population population NN cord-259534-hpyf0uj6 209 50 - - HYPH cord-259534-hpyf0uj6 209 51 wide wide JJ cord-259534-hpyf0uj6 209 52 interventions intervention NNS cord-259534-hpyf0uj6 209 53 in in IN cord-259534-hpyf0uj6 209 54 Italy Italy NNP cord-259534-hpyf0uj6 209 55 Modelling model VBG cord-259534-hpyf0uj6 209 56 the the DT cord-259534-hpyf0uj6 209 57 spread spread NN cord-259534-hpyf0uj6 209 58 of of IN cord-259534-hpyf0uj6 209 59 COVID-19 covid-19 DT cord-259534-hpyf0uj6 209 60 with with IN cord-259534-hpyf0uj6 209 61 new new JJ cord-259534-hpyf0uj6 209 62 fractal fractal JJ cord-259534-hpyf0uj6 209 63 - - HYPH cord-259534-hpyf0uj6 209 64 fractional fractional JJ cord-259534-hpyf0uj6 209 65 operators operator NNS cord-259534-hpyf0uj6 209 66 : : : cord-259534-hpyf0uj6 209 67 Can Can MD cord-259534-hpyf0uj6 209 68 the the DT cord-259534-hpyf0uj6 209 69 lockdown lockdown NN cord-259534-hpyf0uj6 209 70 save save VB cord-259534-hpyf0uj6 209 71 mankind mankind NN cord-259534-hpyf0uj6 209 72 before before IN cord-259534-hpyf0uj6 209 73 vaccination vaccination NN cord-259534-hpyf0uj6 209 74 Fractal Fractal NNP cord-259534-hpyf0uj6 209 75 - - HYPH cord-259534-hpyf0uj6 209 76 fractional fractional JJ cord-259534-hpyf0uj6 209 77 differentiation differentiation NN cord-259534-hpyf0uj6 209 78 for for IN cord-259534-hpyf0uj6 209 79 the the DT cord-259534-hpyf0uj6 209 80 modeling modeling NN cord-259534-hpyf0uj6 209 81 and and CC cord-259534-hpyf0uj6 209 82 mathematical mathematical JJ cord-259534-hpyf0uj6 209 83 analysis analysis NN cord-259534-hpyf0uj6 209 84 of of IN cord-259534-hpyf0uj6 209 85 nonlinear nonlinear JJ cord-259534-hpyf0uj6 209 86 diarrhea diarrhea NN cord-259534-hpyf0uj6 209 87 transmission transmission NN cord-259534-hpyf0uj6 209 88 dynamics dynamic NNS cord-259534-hpyf0uj6 209 89 under under IN cord-259534-hpyf0uj6 209 90 the the DT cord-259534-hpyf0uj6 209 91 use use NN cord-259534-hpyf0uj6 209 92 of of IN cord-259534-hpyf0uj6 209 93 real real JJ cord-259534-hpyf0uj6 209 94 data datum NNS cord-259534-hpyf0uj6 209 95 Solving solve VBG cord-259534-hpyf0uj6 209 96 a a DT cord-259534-hpyf0uj6 209 97 system system NN cord-259534-hpyf0uj6 209 98 of of IN cord-259534-hpyf0uj6 209 99 fractional fractional JJ cord-259534-hpyf0uj6 209 100 partial partial JJ cord-259534-hpyf0uj6 209 101 differential differential JJ cord-259534-hpyf0uj6 209 102 equations equation NNS cord-259534-hpyf0uj6 209 103 arising arise VBG cord-259534-hpyf0uj6 209 104 in in IN cord-259534-hpyf0uj6 209 105 the the DT cord-259534-hpyf0uj6 209 106 model model NN cord-259534-hpyf0uj6 209 107 of of IN cord-259534-hpyf0uj6 209 108 HIV HIV NNP cord-259534-hpyf0uj6 209 109 infection infection NN cord-259534-hpyf0uj6 209 110 of of IN cord-259534-hpyf0uj6 209 111 CD4 CD4 NNP cord-259534-hpyf0uj6 209 112 + + CC cord-259534-hpyf0uj6 209 113 cells cell NNS cord-259534-hpyf0uj6 209 114 and and CC cord-259534-hpyf0uj6 209 115 attractor attractor NN cord-259534-hpyf0uj6 209 116 one one CD cord-259534-hpyf0uj6 209 117 - - HYPH cord-259534-hpyf0uj6 209 118 dimensional dimensional JJ cord-259534-hpyf0uj6 209 119 Keller Keller NNP cord-259534-hpyf0uj6 209 120 - - HYPH cord-259534-hpyf0uj6 209 121 Segel Segel NNP cord-259534-hpyf0uj6 209 122 equations equations NNPS cord-259534-hpyf0uj6 209 123 Application Application NNP cord-259534-hpyf0uj6 209 124 of of IN cord-259534-hpyf0uj6 209 125 stationary stationary JJ cord-259534-hpyf0uj6 209 126 wavelet wavelet NN cord-259534-hpyf0uj6 209 127 entropy entropy NN cord-259534-hpyf0uj6 209 128 in in IN cord-259534-hpyf0uj6 209 129 pathological pathological JJ cord-259534-hpyf0uj6 209 130 brain brain NN cord-259534-hpyf0uj6 209 131 detection detection NN cord-259534-hpyf0uj6 210 1 The the DT cord-259534-hpyf0uj6 210 2 role role NN cord-259534-hpyf0uj6 210 3 of of IN cord-259534-hpyf0uj6 210 4 power power NN cord-259534-hpyf0uj6 210 5 decay decay NN cord-259534-hpyf0uj6 210 6 , , , cord-259534-hpyf0uj6 210 7 exponential exponential JJ cord-259534-hpyf0uj6 210 8 decay decay NN cord-259534-hpyf0uj6 210 9 and and CC cord-259534-hpyf0uj6 210 10 Mittag Mittag NNP cord-259534-hpyf0uj6 210 11 - - HYPH cord-259534-hpyf0uj6 210 12 Leffler Leffler NNP cord-259534-hpyf0uj6 210 13 function function NN cord-259534-hpyf0uj6 210 14 's 's POS cord-259534-hpyf0uj6 210 15 waiting wait VBG cord-259534-hpyf0uj6 210 16 time time NN cord-259534-hpyf0uj6 210 17 distribution distribution NN cord-259534-hpyf0uj6 210 18 : : : cord-259534-hpyf0uj6 210 19 Application application NN cord-259534-hpyf0uj6 210 20 of of IN cord-259534-hpyf0uj6 210 21 cancer cancer NN cord-259534-hpyf0uj6 210 22 spread spread VBD cord-259534-hpyf0uj6 210 23 Dynamics Dynamics NNPS cord-259534-hpyf0uj6 210 24 of of IN cord-259534-hpyf0uj6 210 25 ebola ebola NNP cord-259534-hpyf0uj6 210 26 disease disease NN cord-259534-hpyf0uj6 210 27 in in IN cord-259534-hpyf0uj6 210 28 the the DT cord-259534-hpyf0uj6 210 29 framework framework NN cord-259534-hpyf0uj6 210 30 of of IN cord-259534-hpyf0uj6 210 31 different different JJ cord-259534-hpyf0uj6 210 32 fractional fractional JJ cord-259534-hpyf0uj6 210 33 derivatives derivative NNS cord-259534-hpyf0uj6 210 34 Solving solve VBG cord-259534-hpyf0uj6 210 35 existence existence NN cord-259534-hpyf0uj6 210 36 problems problem NNS cord-259534-hpyf0uj6 210 37 via via IN cord-259534-hpyf0uj6 210 38 F F NNP cord-259534-hpyf0uj6 210 39 -contractions -contractions NNP cord-259534-hpyf0uj6 210 40 A a DT cord-259534-hpyf0uj6 210 41 New New NNP cord-259534-hpyf0uj6 210 42 Approach Approach NNP cord-259534-hpyf0uj6 210 43 to to IN cord-259534-hpyf0uj6 210 44 the the DT cord-259534-hpyf0uj6 210 45 Solution Solution NNP cord-259534-hpyf0uj6 210 46 of of IN cord-259534-hpyf0uj6 210 47 Non Non NNP cord-259534-hpyf0uj6 210 48 - - JJ cord-259534-hpyf0uj6 210 49 Linear linear JJ cord-259534-hpyf0uj6 210 50 Integral Integral NNP cord-259534-hpyf0uj6 210 51 Equations Equations NNPS cord-259534-hpyf0uj6 210 52 via via IN cord-259534-hpyf0uj6 210 53 Various various JJ cord-259534-hpyf0uj6 210 54 F F NNP cord-259534-hpyf0uj6 210 55 Be be VB cord-259534-hpyf0uj6 211 1 -Contractions -Contractions . cord-259534-hpyf0uj6 212 1 A a DT cord-259534-hpyf0uj6 212 2 new new JJ cord-259534-hpyf0uj6 212 3 approach approach NN cord-259534-hpyf0uj6 212 4 to to IN cord-259534-hpyf0uj6 212 5 the the DT cord-259534-hpyf0uj6 212 6 solution solution NN cord-259534-hpyf0uj6 212 7 of of IN cord-259534-hpyf0uj6 212 8 the the DT cord-259534-hpyf0uj6 212 9 fredholm fredholm NNP cord-259534-hpyf0uj6 212 10 integral integral JJ cord-259534-hpyf0uj6 212 11 equation equation NN cord-259534-hpyf0uj6 212 12 via via IN cord-259534-hpyf0uj6 212 13 a a DT cord-259534-hpyf0uj6 212 14 fixed fix VBN cord-259534-hpyf0uj6 212 15 point point NN cord-259534-hpyf0uj6 212 16 on on IN cord-259534-hpyf0uj6 212 17 extended extended JJ cord-259534-hpyf0uj6 212 18 b b NN cord-259534-hpyf0uj6 212 19 - - HYPH cord-259534-hpyf0uj6 212 20 metric metric JJ cord-259534-hpyf0uj6 212 21 spaces space NNS cord-259534-hpyf0uj6 212 22 . . . cord-259534-hpyf0uj6 213 1 Symmetry Symmetry NNP cord-259534-hpyf0uj6 213 2 10 10 CD cord-259534-hpyf0uj6 213 3 Solutions Solutions NNPS cord-259534-hpyf0uj6 213 4 of of IN cord-259534-hpyf0uj6 213 5 he -PRON- PRP cord-259534-hpyf0uj6 213 6 Nonlinear Nonlinear NNP cord-259534-hpyf0uj6 213 7 Integral Integral NNP cord-259534-hpyf0uj6 213 8 Equation Equation NNP cord-259534-hpyf0uj6 213 9 and and CC cord-259534-hpyf0uj6 213 10 Fractional Fractional NNP cord-259534-hpyf0uj6 213 11 Differential Differential NNP cord-259534-hpyf0uj6 213 12 Equation Equation NNP cord-259534-hpyf0uj6 213 13 Using use VBG cord-259534-hpyf0uj6 213 14 the the DT cord-259534-hpyf0uj6 213 15 Technique technique NN cord-259534-hpyf0uj6 213 16 of of IN cord-259534-hpyf0uj6 213 17 a a DT cord-259534-hpyf0uj6 213 18 Fixed Fixed NNP cord-259534-hpyf0uj6 213 19 Point Point NNP cord-259534-hpyf0uj6 213 20 with with IN cord-259534-hpyf0uj6 213 21 a a DT cord-259534-hpyf0uj6 213 22 Numerical Numerical NNP cord-259534-hpyf0uj6 213 23 Experiment Experiment NNP cord-259534-hpyf0uj6 213 24 in in IN cord-259534-hpyf0uj6 213 25 Extended Extended NNP cord-259534-hpyf0uj6 213 26 b b NNP cord-259534-hpyf0uj6 213 27 - - : cord-259534-hpyf0uj6 213 28 Metric Metric NNP cord-259534-hpyf0uj6 213 29 Space Space NNP cord-259534-hpyf0uj6 213 30 Unification Unification NNP cord-259534-hpyf0uj6 213 31 of of IN cord-259534-hpyf0uj6 213 32 the the DT cord-259534-hpyf0uj6 213 33 Fixed Fixed NNP cord-259534-hpyf0uj6 213 34 Point Point NNP cord-259534-hpyf0uj6 213 35 in in IN cord-259534-hpyf0uj6 213 36 Integral Integral NNP cord-259534-hpyf0uj6 213 37 Type Type NNP cord-259534-hpyf0uj6 213 38 Metric Metric NNP cord-259534-hpyf0uj6 213 39 Spaces space NNS cord-259534-hpyf0uj6 214 1 Some some DT cord-259534-hpyf0uj6 214 2 Fixed Fixed NNP cord-259534-hpyf0uj6 214 3 - - HYPH cord-259534-hpyf0uj6 214 4 Point point NN cord-259534-hpyf0uj6 214 5 Theorems Theorems NNPS cord-259534-hpyf0uj6 214 6 in in IN cord-259534-hpyf0uj6 214 7 b b NN cord-259534-hpyf0uj6 214 8 - - HYPH cord-259534-hpyf0uj6 214 9 Dislocated dislocate VBN cord-259534-hpyf0uj6 214 10 Metric Metric NNP cord-259534-hpyf0uj6 214 11 Space Space NNP cord-259534-hpyf0uj6 214 12 and and CC cord-259534-hpyf0uj6 214 13 Applications Applications NNPS cord-259534-hpyf0uj6 214 14 Connecting connect VBG cord-259534-hpyf0uj6 214 15 various various JJ cord-259534-hpyf0uj6 214 16 types type NNS cord-259534-hpyf0uj6 214 17 of of IN cord-259534-hpyf0uj6 214 18 cyclic cyclic JJ cord-259534-hpyf0uj6 214 19 contractions contraction NNS cord-259534-hpyf0uj6 214 20 and and CC cord-259534-hpyf0uj6 214 21 contractive contractive JJ cord-259534-hpyf0uj6 214 22 self self NN cord-259534-hpyf0uj6 214 23 - - HYPH cord-259534-hpyf0uj6 214 24 mappings mapping NNS cord-259534-hpyf0uj6 214 25 with with IN cord-259534-hpyf0uj6 214 26 Hardy Hardy NNP cord-259534-hpyf0uj6 214 27 - - HYPH cord-259534-hpyf0uj6 214 28 Rogers Rogers NNP cord-259534-hpyf0uj6 214 29 self self NN cord-259534-hpyf0uj6 214 30 - - HYPH cord-259534-hpyf0uj6 214 31 mappings mapping NNS cord-259534-hpyf0uj6 214 32 . . . cord-259534-hpyf0uj6 215 1 Fixed Fixed NNP cord-259534-hpyf0uj6 215 2 Point Point NNP cord-259534-hpyf0uj6 215 3 Theory Theory NNP cord-259534-hpyf0uj6 215 4 and and CC cord-259534-hpyf0uj6 215 5 Applications application NNS cord-259534-hpyf0uj6 216 1 Cyclic cyclic JJ cord-259534-hpyf0uj6 216 2 contractions contraction NNS cord-259534-hpyf0uj6 216 3 and and CC cord-259534-hpyf0uj6 216 4 fixed fix VBN cord-259534-hpyf0uj6 216 5 point point NN cord-259534-hpyf0uj6 216 6 theorems theorem NNS cord-259534-hpyf0uj6 216 7 on on IN cord-259534-hpyf0uj6 216 8 various various JJ cord-259534-hpyf0uj6 216 9 generating generating NN cord-259534-hpyf0uj6 216 10 spaces space NNS cord-259534-hpyf0uj6 216 11 . . . cord-259534-hpyf0uj6 217 1 Fixed Fixed NNP cord-259534-hpyf0uj6 217 2 Point Point NNP cord-259534-hpyf0uj6 217 3 Theory Theory NNP cord-259534-hpyf0uj6 217 4 and and CC cord-259534-hpyf0uj6 217 5 Applications Applications NNPS cord-259534-hpyf0uj6 217 6 d d NNP cord-259534-hpyf0uj6 217 7 - - : cord-259534-hpyf0uj6 217 8 Neighborhood Neighborhood NNP cord-259534-hpyf0uj6 217 9 system system NN cord-259534-hpyf0uj6 217 10 and and CC cord-259534-hpyf0uj6 217 11 generalized generalize VBD cord-259534-hpyf0uj6 217 12 F F NNP cord-259534-hpyf0uj6 217 13 -contraction -contraction NN cord-259534-hpyf0uj6 217 14 in in IN cord-259534-hpyf0uj6 217 15 dislocated dislocate VBN cord-259534-hpyf0uj6 217 16 metric metric JJ cord-259534-hpyf0uj6 217 17 space space NN cord-259534-hpyf0uj6 217 18 High High NNP cord-259534-hpyf0uj6 217 19 Contagiousness Contagiousness NNP cord-259534-hpyf0uj6 217 20 and and CC cord-259534-hpyf0uj6 217 21 Rapid Rapid NNP cord-259534-hpyf0uj6 217 22 Spread Spread NNP cord-259534-hpyf0uj6 217 23 of of IN cord-259534-hpyf0uj6 217 24 Severe severe JJ cord-259534-hpyf0uj6 217 25 Acute acute JJ cord-259534-hpyf0uj6 217 26 Respiratory Respiratory NNP cord-259534-hpyf0uj6 217 27 Syndrome Syndrome NNP cord-259534-hpyf0uj6 217 28 Coronavirus Coronavirus NNP cord-259534-hpyf0uj6 217 29 Estimation Estimation NNP cord-259534-hpyf0uj6 217 30 of of IN cord-259534-hpyf0uj6 217 31 thereproductive thereproductive JJ cord-259534-hpyf0uj6 217 32 number number NN cord-259534-hpyf0uj6 217 33 of of IN cord-259534-hpyf0uj6 217 34 novel novel JJ cord-259534-hpyf0uj6 217 35 coronavirus coronavirus NN cord-259534-hpyf0uj6 217 36 ( ( -LRB- cord-259534-hpyf0uj6 217 37 COVID-19 COVID-19 NNP cord-259534-hpyf0uj6 217 38 ) ) -RRB- cord-259534-hpyf0uj6 217 39 and and CC cord-259534-hpyf0uj6 217 40 the the DT cord-259534-hpyf0uj6 217 41 probable probable JJ cord-259534-hpyf0uj6 217 42 outbreak outbreak NN cord-259534-hpyf0uj6 217 43 size size NN cord-259534-hpyf0uj6 217 44 on on IN cord-259534-hpyf0uj6 217 45 the the DT cord-259534-hpyf0uj6 217 46 Diamond Diamond NNP cord-259534-hpyf0uj6 217 47 Princess Princess NNP cord-259534-hpyf0uj6 217 48 cruise cruise NN cord-259534-hpyf0uj6 217 49 ship ship NN cord-259534-hpyf0uj6 217 50 : : : cord-259534-hpyf0uj6 217 51 a a DT cord-259534-hpyf0uj6 217 52 data data NN cord-259534-hpyf0uj6 217 53 driven drive VBN cord-259534-hpyf0uj6 217 54 analysis analysis NN cord-259534-hpyf0uj6 218 1 A a DT cord-259534-hpyf0uj6 218 2 new new JJ cord-259534-hpyf0uj6 218 3 exploration exploration NN cord-259534-hpyf0uj6 218 4 on on IN cord-259534-hpyf0uj6 218 5 existence existence NN cord-259534-hpyf0uj6 218 6 of of IN cord-259534-hpyf0uj6 218 7 fractional fractional JJ cord-259534-hpyf0uj6 218 8 neutral neutral JJ cord-259534-hpyf0uj6 218 9 integro integro JJ cord-259534-hpyf0uj6 218 10 - - HYPH cord-259534-hpyf0uj6 218 11 differential differential JJ cord-259534-hpyf0uj6 218 12 equations equation NNS cord-259534-hpyf0uj6 218 13 in in IN cord-259534-hpyf0uj6 218 14 the the DT cord-259534-hpyf0uj6 218 15 concept concept NN cord-259534-hpyf0uj6 218 16 of of IN cord-259534-hpyf0uj6 218 17 Atangana Atangana NNP cord-259534-hpyf0uj6 218 18 - - HYPH cord-259534-hpyf0uj6 218 19 Baleanu Baleanu NNP cord-259534-hpyf0uj6 218 20 derivative derivative JJ cord-259534-hpyf0uj6 218 21 New new JJ cord-259534-hpyf0uj6 218 22 results result NNS cord-259534-hpyf0uj6 218 23 on on IN cord-259534-hpyf0uj6 218 24 controllability controllability NN cord-259534-hpyf0uj6 218 25 in in IN cord-259534-hpyf0uj6 218 26 the the DT cord-259534-hpyf0uj6 218 27 framework framework NN cord-259534-hpyf0uj6 218 28 of of IN cord-259534-hpyf0uj6 218 29 fractional fractional JJ cord-259534-hpyf0uj6 218 30 integrodifferential integrodifferential JJ cord-259534-hpyf0uj6 218 31 equations equation NNS cord-259534-hpyf0uj6 218 32 with with IN cord-259534-hpyf0uj6 218 33 nondense nondense NN cord-259534-hpyf0uj6 218 34 domain domain NN cord-259534-hpyf0uj6 218 35 Solutions Solutions NNPS cord-259534-hpyf0uj6 218 36 of of IN cord-259534-hpyf0uj6 218 37 boundary boundary JJ cord-259534-hpyf0uj6 218 38 value value NN cord-259534-hpyf0uj6 218 39 problems problem NNS cord-259534-hpyf0uj6 218 40 on on IN cord-259534-hpyf0uj6 218 41 extended extend VBN cord-259534-hpyf0uj6 218 42 - - : cord-259534-hpyf0uj6 218 43 Branciari Branciari NNP cord-259534-hpyf0uj6 218 44 b b NN cord-259534-hpyf0uj6 218 45 - - HYPH cord-259534-hpyf0uj6 218 46 distance distance NN cord-259534-hpyf0uj6 218 47 On on IN cord-259534-hpyf0uj6 218 48 new new JJ cord-259534-hpyf0uj6 218 49 approach approach NN cord-259534-hpyf0uj6 218 50 of of IN cord-259534-hpyf0uj6 218 51 fractional fractional JJ cord-259534-hpyf0uj6 218 52 derivative derivative NN cord-259534-hpyf0uj6 218 53 by by IN cord-259534-hpyf0uj6 218 54 Mittag Mittag NNP cord-259534-hpyf0uj6 218 55 - - HYPH cord-259534-hpyf0uj6 218 56 Leffler Leffler NNP cord-259534-hpyf0uj6 218 57 kernel kernel NN cord-259534-hpyf0uj6 218 58 to to IN cord-259534-hpyf0uj6 218 59 neutral neutral JJ cord-259534-hpyf0uj6 218 60 integro integro JJ cord-259534-hpyf0uj6 218 61 - - HYPH cord-259534-hpyf0uj6 218 62 differential differential JJ cord-259534-hpyf0uj6 218 63 systems system NNS cord-259534-hpyf0uj6 218 64 with with IN cord-259534-hpyf0uj6 218 65 impulsive impulsive JJ cord-259534-hpyf0uj6 218 66 conditions condition NNS cord-259534-hpyf0uj6 218 67 A a DT cord-259534-hpyf0uj6 218 68 numerical numerical JJ cord-259534-hpyf0uj6 218 69 schemes scheme NNS cord-259534-hpyf0uj6 218 70 and and CC cord-259534-hpyf0uj6 218 71 comparisons comparison NNS cord-259534-hpyf0uj6 218 72 for for IN cord-259534-hpyf0uj6 218 73 fixed fix VBN cord-259534-hpyf0uj6 218 74 point point NN cord-259534-hpyf0uj6 218 75 results result NNS cord-259534-hpyf0uj6 218 76 with with IN cord-259534-hpyf0uj6 218 77 applications application NNS cord-259534-hpyf0uj6 218 78 to to IN cord-259534-hpyf0uj6 218 79 the the DT cord-259534-hpyf0uj6 218 80 solutions solution NNS cord-259534-hpyf0uj6 218 81 of of IN cord-259534-hpyf0uj6 218 82 Volterra Volterra NNP cord-259534-hpyf0uj6 218 83 integral integral JJ cord-259534-hpyf0uj6 218 84 equations equation NNS cord-259534-hpyf0uj6 218 85 in in IN cord-259534-hpyf0uj6 218 86 dislocated dislocate VBN cord-259534-hpyf0uj6 218 87 extended extended JJ cord-259534-hpyf0uj6 218 88 b b NN cord-259534-hpyf0uj6 218 89 - - HYPH cord-259534-hpyf0uj6 218 90 metricspace metricspace NNP cord-259534-hpyf0uj6 218 91 Novel Novel NNP cord-259534-hpyf0uj6 218 92 fixed fix VBN cord-259534-hpyf0uj6 218 93 point point NN cord-259534-hpyf0uj6 218 94 approach approach NN cord-259534-hpyf0uj6 218 95 to to IN cord-259534-hpyf0uj6 218 96 Atangana Atangana NNP cord-259534-hpyf0uj6 218 97 - - HYPH cord-259534-hpyf0uj6 218 98 Baleanu Baleanu NNP cord-259534-hpyf0uj6 218 99 fractional fractional NN cord-259534-hpyf0uj6 218 100 and and CC cord-259534-hpyf0uj6 218 101 L l NN cord-259534-hpyf0uj6 218 102 p p NN cord-259534-hpyf0uj6 218 103 -Fredholm -fredholm NN cord-259534-hpyf0uj6 218 104 integral integral JJ cord-259534-hpyf0uj6 218 105 equations equation NNS cord-259534-hpyf0uj6 219 1 New new JJ cord-259534-hpyf0uj6 219 2 numerical numerical JJ cord-259534-hpyf0uj6 219 3 scheme scheme NN cord-259534-hpyf0uj6 219 4 for for IN cord-259534-hpyf0uj6 219 5 solving solve VBG cord-259534-hpyf0uj6 219 6 integral integral JJ cord-259534-hpyf0uj6 219 7 equations equation NNS cord-259534-hpyf0uj6 219 8 via via IN cord-259534-hpyf0uj6 219 9 fixed fix VBN cord-259534-hpyf0uj6 219 10 point point NN cord-259534-hpyf0uj6 219 11 method method NN cord-259534-hpyf0uj6 219 12 using use VBG cord-259534-hpyf0uj6 219 13 distinct distinct JJ cord-259534-hpyf0uj6 219 14 ( ( -LRB- cord-259534-hpyf0uj6 219 15 ω ω NN cord-259534-hpyf0uj6 219 16 − − NN cord-259534-hpyf0uj6 219 17 F F NNP cord-259534-hpyf0uj6 219 18 ) ) -RRB- cord-259534-hpyf0uj6 219 19 -contractions -contractions . cord-259534-hpyf0uj6 220 1 A a DT cord-259534-hpyf0uj6 220 2 complex complex JJ cord-259534-hpyf0uj6 220 3 valued value VBN cord-259534-hpyf0uj6 220 4 approach approach NN cord-259534-hpyf0uj6 220 5 to to IN cord-259534-hpyf0uj6 220 6 the the DT cord-259534-hpyf0uj6 220 7 solutions solution NNS cord-259534-hpyf0uj6 220 8 of of IN cord-259534-hpyf0uj6 220 9 Riemann Riemann NNP cord-259534-hpyf0uj6 220 10 - - HYPH cord-259534-hpyf0uj6 220 11 Liouville Liouville NNP cord-259534-hpyf0uj6 220 12 integral integral NN cord-259534-hpyf0uj6 220 13 , , , cord-259534-hpyf0uj6 220 14 Atangana Atangana NNP cord-259534-hpyf0uj6 220 15 - - HYPH cord-259534-hpyf0uj6 220 16 Baleanu Baleanu NNP cord-259534-hpyf0uj6 220 17 integral integral JJ cord-259534-hpyf0uj6 220 18 operator operator NN cord-259534-hpyf0uj6 220 19 and and CC cord-259534-hpyf0uj6 220 20 non non JJ cord-259534-hpyf0uj6 220 21 - - JJ cord-259534-hpyf0uj6 220 22 linear linear JJ cord-259534-hpyf0uj6 220 23 Telegraph Telegraph NNP cord-259534-hpyf0uj6 220 24 equation equation NN cord-259534-hpyf0uj6 220 25 via via IN cord-259534-hpyf0uj6 220 26 fixed fix VBN cord-259534-hpyf0uj6 220 27 point point NN cord-259534-hpyf0uj6 220 28 method method NN cord-259534-hpyf0uj6 220 29 A a DT cord-259534-hpyf0uj6 220 30 mathematical mathematical JJ cord-259534-hpyf0uj6 220 31 model model NN cord-259534-hpyf0uj6 220 32 of of IN cord-259534-hpyf0uj6 220 33 COVID-19 COVID-19 NNP cord-259534-hpyf0uj6 220 34 using use VBG cord-259534-hpyf0uj6 220 35 fractional fractional JJ cord-259534-hpyf0uj6 220 36 derivative derivative NN cord-259534-hpyf0uj6 220 37 : : : cord-259534-hpyf0uj6 220 38 outbreak outbreak NN cord-259534-hpyf0uj6 220 39 in in IN cord-259534-hpyf0uj6 220 40 India India NNP cord-259534-hpyf0uj6 220 41 with with IN cord-259534-hpyf0uj6 220 42 dynamics dynamic NNS cord-259534-hpyf0uj6 220 43 of of IN cord-259534-hpyf0uj6 220 44 transmission transmission NN cord-259534-hpyf0uj6 220 45 and and CC cord-259534-hpyf0uj6 220 46 control control VB cord-259534-hpyf0uj6 220 47 Mathematical Mathematical NNP cord-259534-hpyf0uj6 220 48 Analysis Analysis NNP cord-259534-hpyf0uj6 220 49 of of IN cord-259534-hpyf0uj6 220 50 Novel Novel NNP cord-259534-hpyf0uj6 220 51 Coronavirus Coronavirus NNP cord-259534-hpyf0uj6 220 52 ( ( -LRB- cord-259534-hpyf0uj6 220 53 2019-nCov 2019-ncov CD cord-259534-hpyf0uj6 220 54 ) ) -RRB- cord-259534-hpyf0uj6 220 55 Delay Delay NNP cord-259534-hpyf0uj6 220 56 Pandemic Pandemic NNP cord-259534-hpyf0uj6 220 57 Model Model NNP cord-259534-hpyf0uj6 220 58 Analysis Analysis NNP cord-259534-hpyf0uj6 220 59 of of IN cord-259534-hpyf0uj6 220 60 the the DT cord-259534-hpyf0uj6 220 61 COVID-19 COVID-19 NNP cord-259534-hpyf0uj6 220 62 Pandemic Pandemic NNP cord-259534-hpyf0uj6 220 63 Spreading spread VBG cord-259534-hpyf0uj6 220 64 in in IN cord-259534-hpyf0uj6 220 65 India India NNP cord-259534-hpyf0uj6 220 66 by by IN cord-259534-hpyf0uj6 220 67 an an DT cord-259534-hpyf0uj6 220 68 Epidemiological Epidemiological NNP cord-259534-hpyf0uj6 220 69 Model Model NNP cord-259534-hpyf0uj6 220 70 and and CC cord-259534-hpyf0uj6 220 71 Fractional Fractional NNP cord-259534-hpyf0uj6 220 72 Differential Differential NNP cord-259534-hpyf0uj6 220 73 Operator Operator NNP cord-259534-hpyf0uj6 220 74 Email email NN cord-259534-hpyf0uj6 220 75 : : : cord-259534-hpyf0uj6 220 76 mumy143143143@gmail.com mumy143143143@gmail.com ADD cord-259534-hpyf0uj6 220 77 ; ; : cord-259534-hpyf0uj6 220 78 sumatikumari sumatikumari NNP