id sid tid token lemma pos cord-134344-sxno0tfd 1 1 key key JJ cord-134344-sxno0tfd 2 1 : : : cord-134344-sxno0tfd 2 2 cord-134344-sxno0tfd cord-134344-sxno0tfd JJ cord-134344-sxno0tfd 2 3 authors author NNS cord-134344-sxno0tfd 2 4 : : : cord-134344-sxno0tfd 2 5 Gondim Gondim NNP cord-134344-sxno0tfd 2 6 , , , cord-134344-sxno0tfd 2 7 Joao Joao NNP cord-134344-sxno0tfd 2 8 A. a. NN cord-134344-sxno0tfd 2 9 M. M. NNP cord-134344-sxno0tfd 2 10 ; ; : cord-134344-sxno0tfd 2 11 Machado Machado NNP cord-134344-sxno0tfd 2 12 , , , cord-134344-sxno0tfd 2 13 Larissa Larissa NNP cord-134344-sxno0tfd 2 14 title title NN cord-134344-sxno0tfd 2 15 : : : cord-134344-sxno0tfd 2 16 Optimal optimal JJ cord-134344-sxno0tfd 2 17 quarantine quarantine NN cord-134344-sxno0tfd 2 18 strategies strategy NNS cord-134344-sxno0tfd 2 19 for for IN cord-134344-sxno0tfd 2 20 the the DT cord-134344-sxno0tfd 2 21 COVID-19 covid-19 JJ cord-134344-sxno0tfd 2 22 pandemic pandemic NN cord-134344-sxno0tfd 2 23 in in IN cord-134344-sxno0tfd 2 24 a a DT cord-134344-sxno0tfd 2 25 population population NN cord-134344-sxno0tfd 2 26 with with IN cord-134344-sxno0tfd 2 27 a a DT cord-134344-sxno0tfd 2 28 discrete discrete JJ cord-134344-sxno0tfd 2 29 age age NN cord-134344-sxno0tfd 2 30 structure structure NN cord-134344-sxno0tfd 2 31 date date NN cord-134344-sxno0tfd 2 32 : : : cord-134344-sxno0tfd 2 33 2020 2020 CD cord-134344-sxno0tfd 2 34 - - HYPH cord-134344-sxno0tfd 2 35 05 05 CD cord-134344-sxno0tfd 2 36 - - HYPH cord-134344-sxno0tfd 2 37 19 19 CD cord-134344-sxno0tfd 2 38 journal journal NN cord-134344-sxno0tfd 2 39 : : : cord-134344-sxno0tfd 3 1 nan nan NNP cord-134344-sxno0tfd 3 2 DOI DOI NNP cord-134344-sxno0tfd 3 3 : : : cord-134344-sxno0tfd 3 4 nan nan NNP cord-134344-sxno0tfd 3 5 sha sha NNP cord-134344-sxno0tfd 3 6 : : : cord-134344-sxno0tfd 4 1 815a77c8ec30cf1f5568218547dde01956fd7577 815a77c8ec30cf1f5568218547dde01956fd7577 LS cord-134344-sxno0tfd 4 2 doc_id doc_id CD cord-134344-sxno0tfd 4 3 : : : cord-134344-sxno0tfd 4 4 134344 134344 CD cord-134344-sxno0tfd 4 5 cord_uid cord_uid NNS cord-134344-sxno0tfd 4 6 : : : cord-134344-sxno0tfd 5 1 sxno0tfd sxno0tfd NNP cord-134344-sxno0tfd 6 1 The the DT cord-134344-sxno0tfd 6 2 goal goal NN cord-134344-sxno0tfd 6 3 of of IN cord-134344-sxno0tfd 6 4 this this DT cord-134344-sxno0tfd 6 5 work work NN cord-134344-sxno0tfd 6 6 is be VBZ cord-134344-sxno0tfd 6 7 to to TO cord-134344-sxno0tfd 6 8 study study VB cord-134344-sxno0tfd 6 9 the the DT cord-134344-sxno0tfd 6 10 optimal optimal JJ cord-134344-sxno0tfd 6 11 controls control NNS cord-134344-sxno0tfd 6 12 for for IN cord-134344-sxno0tfd 6 13 the the DT cord-134344-sxno0tfd 6 14 COVID-19 covid-19 JJ cord-134344-sxno0tfd 6 15 epidemic epidemic NN cord-134344-sxno0tfd 6 16 in in IN cord-134344-sxno0tfd 6 17 Brazil Brazil NNP cord-134344-sxno0tfd 6 18 . . . cord-134344-sxno0tfd 7 1 We -PRON- PRP cord-134344-sxno0tfd 7 2 consider consider VBP cord-134344-sxno0tfd 7 3 an an DT cord-134344-sxno0tfd 7 4 age age NN cord-134344-sxno0tfd 7 5 - - HYPH cord-134344-sxno0tfd 7 6 structured structure VBN cord-134344-sxno0tfd 7 7 SEIRQ SEIRQ NNP cord-134344-sxno0tfd 7 8 model model NN cord-134344-sxno0tfd 7 9 with with IN cord-134344-sxno0tfd 7 10 quarantine quarantine NN cord-134344-sxno0tfd 7 11 compartment compartment NN cord-134344-sxno0tfd 7 12 , , , cord-134344-sxno0tfd 7 13 where where WRB cord-134344-sxno0tfd 7 14 the the DT cord-134344-sxno0tfd 7 15 controls control NNS cord-134344-sxno0tfd 7 16 are be VBP cord-134344-sxno0tfd 7 17 the the DT cord-134344-sxno0tfd 7 18 quarantine quarantine NN cord-134344-sxno0tfd 7 19 entrance entrance NN cord-134344-sxno0tfd 7 20 parameters parameter NNS cord-134344-sxno0tfd 7 21 . . . cord-134344-sxno0tfd 8 1 We -PRON- PRP cord-134344-sxno0tfd 8 2 then then RB cord-134344-sxno0tfd 8 3 compare compare VBP cord-134344-sxno0tfd 8 4 the the DT cord-134344-sxno0tfd 8 5 optimal optimal JJ cord-134344-sxno0tfd 8 6 controls control NNS cord-134344-sxno0tfd 8 7 for for IN cord-134344-sxno0tfd 8 8 different different JJ cord-134344-sxno0tfd 8 9 quarantine quarantine NN cord-134344-sxno0tfd 8 10 lengths length NNS cord-134344-sxno0tfd 8 11 and and CC cord-134344-sxno0tfd 8 12 distribution distribution NN cord-134344-sxno0tfd 8 13 of of IN cord-134344-sxno0tfd 8 14 the the DT cord-134344-sxno0tfd 8 15 total total JJ cord-134344-sxno0tfd 8 16 control control NN cord-134344-sxno0tfd 8 17 cost cost NN cord-134344-sxno0tfd 8 18 by by IN cord-134344-sxno0tfd 8 19 assessing assess VBG cord-134344-sxno0tfd 8 20 their -PRON- PRP$ cord-134344-sxno0tfd 8 21 respective respective JJ cord-134344-sxno0tfd 8 22 reductions reduction NNS cord-134344-sxno0tfd 8 23 in in IN cord-134344-sxno0tfd 8 24 deaths death NNS cord-134344-sxno0tfd 8 25 in in IN cord-134344-sxno0tfd 8 26 comparison comparison NN cord-134344-sxno0tfd 8 27 to to IN cord-134344-sxno0tfd 8 28 the the DT cord-134344-sxno0tfd 8 29 same same JJ cord-134344-sxno0tfd 8 30 period period NN cord-134344-sxno0tfd 8 31 without without IN cord-134344-sxno0tfd 8 32 quarantine quarantine NN cord-134344-sxno0tfd 8 33 . . . cord-134344-sxno0tfd 9 1 The the DT cord-134344-sxno0tfd 9 2 best good JJS cord-134344-sxno0tfd 9 3 strategy strategy NN cord-134344-sxno0tfd 9 4 provides provide VBZ cord-134344-sxno0tfd 9 5 a a DT cord-134344-sxno0tfd 9 6 calendar calendar NN cord-134344-sxno0tfd 9 7 of of IN cord-134344-sxno0tfd 9 8 when when WRB cord-134344-sxno0tfd 9 9 to to TO cord-134344-sxno0tfd 9 10 relax relax VB cord-134344-sxno0tfd 9 11 the the DT cord-134344-sxno0tfd 9 12 isolation isolation NN cord-134344-sxno0tfd 9 13 measures measure NNS cord-134344-sxno0tfd 9 14 for for IN cord-134344-sxno0tfd 9 15 each each DT cord-134344-sxno0tfd 9 16 age age NN cord-134344-sxno0tfd 9 17 group group NN cord-134344-sxno0tfd 9 18 . . . cord-134344-sxno0tfd 10 1 Finally finally RB cord-134344-sxno0tfd 10 2 , , , cord-134344-sxno0tfd 10 3 we -PRON- PRP cord-134344-sxno0tfd 10 4 analyse analyse VBP cord-134344-sxno0tfd 10 5 how how WRB cord-134344-sxno0tfd 10 6 a a DT cord-134344-sxno0tfd 10 7 delay delay NN cord-134344-sxno0tfd 10 8 in in IN cord-134344-sxno0tfd 10 9 the the DT cord-134344-sxno0tfd 10 10 beginning beginning NN cord-134344-sxno0tfd 10 11 of of IN cord-134344-sxno0tfd 10 12 the the DT cord-134344-sxno0tfd 10 13 quarantine quarantine NN cord-134344-sxno0tfd 10 14 affects affect VBZ cord-134344-sxno0tfd 10 15 this this DT cord-134344-sxno0tfd 10 16 calendar calendar NN cord-134344-sxno0tfd 10 17 by by IN cord-134344-sxno0tfd 10 18 changing change VBG cord-134344-sxno0tfd 10 19 the the DT cord-134344-sxno0tfd 10 20 initial initial JJ cord-134344-sxno0tfd 10 21 conditions condition NNS cord-134344-sxno0tfd 10 22 . . . cord-134344-sxno0tfd 11 1 Abstract Abstract NNP cord-134344-sxno0tfd 11 2 . . . cord-134344-sxno0tfd 12 1 The the DT cord-134344-sxno0tfd 12 2 goal goal NN cord-134344-sxno0tfd 12 3 of of IN cord-134344-sxno0tfd 12 4 this this DT cord-134344-sxno0tfd 12 5 work work NN cord-134344-sxno0tfd 12 6 is be VBZ cord-134344-sxno0tfd 12 7 to to TO cord-134344-sxno0tfd 12 8 study study VB cord-134344-sxno0tfd 12 9 the the DT cord-134344-sxno0tfd 12 10 optimal optimal JJ cord-134344-sxno0tfd 12 11 controls control NNS cord-134344-sxno0tfd 12 12 for for IN cord-134344-sxno0tfd 12 13 the the DT cord-134344-sxno0tfd 12 14 COVID-19 covid-19 JJ cord-134344-sxno0tfd 12 15 epidemic epidemic NN cord-134344-sxno0tfd 12 16 in in IN cord-134344-sxno0tfd 12 17 Brazil Brazil NNP cord-134344-sxno0tfd 12 18 . . . cord-134344-sxno0tfd 13 1 We -PRON- PRP cord-134344-sxno0tfd 13 2 consider consider VBP cord-134344-sxno0tfd 13 3 an an DT cord-134344-sxno0tfd 13 4 agestructured agestructured JJ cord-134344-sxno0tfd 13 5 SEIRQ SEIRQ NNP cord-134344-sxno0tfd 13 6 model model NN cord-134344-sxno0tfd 13 7 with with IN cord-134344-sxno0tfd 13 8 quarantine quarantine NN cord-134344-sxno0tfd 13 9 compartment compartment NN cord-134344-sxno0tfd 13 10 , , , cord-134344-sxno0tfd 13 11 where where WRB cord-134344-sxno0tfd 13 12 the the DT cord-134344-sxno0tfd 13 13 controls control NNS cord-134344-sxno0tfd 13 14 are be VBP cord-134344-sxno0tfd 13 15 the the DT cord-134344-sxno0tfd 13 16 quarantine quarantine NN cord-134344-sxno0tfd 13 17 entrance entrance NN cord-134344-sxno0tfd 13 18 parameters parameter NNS cord-134344-sxno0tfd 13 19 . . . cord-134344-sxno0tfd 14 1 We -PRON- PRP cord-134344-sxno0tfd 14 2 then then RB cord-134344-sxno0tfd 14 3 compare compare VBP cord-134344-sxno0tfd 14 4 the the DT cord-134344-sxno0tfd 14 5 optimal optimal JJ cord-134344-sxno0tfd 14 6 controls control NNS cord-134344-sxno0tfd 14 7 for for IN cord-134344-sxno0tfd 14 8 different different JJ cord-134344-sxno0tfd 14 9 quarantine quarantine NN cord-134344-sxno0tfd 14 10 lengths length NNS cord-134344-sxno0tfd 14 11 and and CC cord-134344-sxno0tfd 14 12 distribution distribution NN cord-134344-sxno0tfd 14 13 of of IN cord-134344-sxno0tfd 14 14 the the DT cord-134344-sxno0tfd 14 15 total total JJ cord-134344-sxno0tfd 14 16 control control NN cord-134344-sxno0tfd 14 17 cost cost NN cord-134344-sxno0tfd 14 18 by by IN cord-134344-sxno0tfd 14 19 assessing assess VBG cord-134344-sxno0tfd 14 20 their -PRON- PRP$ cord-134344-sxno0tfd 14 21 respective respective JJ cord-134344-sxno0tfd 14 22 reductions reduction NNS cord-134344-sxno0tfd 14 23 in in IN cord-134344-sxno0tfd 14 24 deaths death NNS cord-134344-sxno0tfd 14 25 in in IN cord-134344-sxno0tfd 14 26 comparison comparison NN cord-134344-sxno0tfd 14 27 to to IN cord-134344-sxno0tfd 14 28 the the DT cord-134344-sxno0tfd 14 29 same same JJ cord-134344-sxno0tfd 14 30 period period NN cord-134344-sxno0tfd 14 31 without without IN cord-134344-sxno0tfd 14 32 quarantine quarantine NN cord-134344-sxno0tfd 14 33 . . . cord-134344-sxno0tfd 15 1 The the DT cord-134344-sxno0tfd 15 2 best good JJS cord-134344-sxno0tfd 15 3 strategy strategy NN cord-134344-sxno0tfd 15 4 provides provide VBZ cord-134344-sxno0tfd 15 5 a a DT cord-134344-sxno0tfd 15 6 calendar calendar NN cord-134344-sxno0tfd 15 7 of of IN cord-134344-sxno0tfd 15 8 when when WRB cord-134344-sxno0tfd 15 9 to to TO cord-134344-sxno0tfd 15 10 relax relax VB cord-134344-sxno0tfd 15 11 the the DT cord-134344-sxno0tfd 15 12 isolation isolation NN cord-134344-sxno0tfd 15 13 measures measure NNS cord-134344-sxno0tfd 15 14 for for IN cord-134344-sxno0tfd 15 15 each each DT cord-134344-sxno0tfd 15 16 age age NN cord-134344-sxno0tfd 15 17 group group NN cord-134344-sxno0tfd 15 18 . . . cord-134344-sxno0tfd 16 1 Finally finally RB cord-134344-sxno0tfd 16 2 , , , cord-134344-sxno0tfd 16 3 we -PRON- PRP cord-134344-sxno0tfd 16 4 analyse analyse VBP cord-134344-sxno0tfd 16 5 how how WRB cord-134344-sxno0tfd 16 6 a a DT cord-134344-sxno0tfd 16 7 delay delay NN cord-134344-sxno0tfd 16 8 in in IN cord-134344-sxno0tfd 16 9 the the DT cord-134344-sxno0tfd 16 10 beginning beginning NN cord-134344-sxno0tfd 16 11 of of IN cord-134344-sxno0tfd 16 12 the the DT cord-134344-sxno0tfd 16 13 quarantine quarantine NN cord-134344-sxno0tfd 16 14 affects affect VBZ cord-134344-sxno0tfd 16 15 this this DT cord-134344-sxno0tfd 16 16 calendar calendar NN cord-134344-sxno0tfd 16 17 by by IN cord-134344-sxno0tfd 16 18 changing change VBG cord-134344-sxno0tfd 16 19 the the DT cord-134344-sxno0tfd 16 20 initial initial JJ cord-134344-sxno0tfd 16 21 conditions condition NNS cord-134344-sxno0tfd 16 22 . . . cord-134344-sxno0tfd 17 1 At at IN cord-134344-sxno0tfd 17 2 the the DT cord-134344-sxno0tfd 17 3 end end NN cord-134344-sxno0tfd 17 4 of of IN cord-134344-sxno0tfd 17 5 2019 2019 CD cord-134344-sxno0tfd 17 6 a a DT cord-134344-sxno0tfd 17 7 novel novel JJ cord-134344-sxno0tfd 17 8 coronavirus coronavirus NN cord-134344-sxno0tfd 17 9 emerged emerge VBD cord-134344-sxno0tfd 17 10 in in IN cord-134344-sxno0tfd 17 11 the the DT cord-134344-sxno0tfd 17 12 city city NN cord-134344-sxno0tfd 17 13 of of IN cord-134344-sxno0tfd 17 14 Wuhan Wuhan NNP cord-134344-sxno0tfd 17 15 , , , cord-134344-sxno0tfd 17 16 China China NNP cord-134344-sxno0tfd 17 17 . . . cord-134344-sxno0tfd 18 1 In in IN cord-134344-sxno0tfd 18 2 January January NNP cord-134344-sxno0tfd 18 3 2020 2020 CD cord-134344-sxno0tfd 18 4 the the DT cord-134344-sxno0tfd 18 5 disease disease NN cord-134344-sxno0tfd 18 6 was be VBD cord-134344-sxno0tfd 18 7 given give VBN cord-134344-sxno0tfd 18 8 the the DT cord-134344-sxno0tfd 18 9 name name NN cord-134344-sxno0tfd 18 10 COVID-19 COVID-19 NNP cord-134344-sxno0tfd 18 11 and and CC cord-134344-sxno0tfd 18 12 , , , cord-134344-sxno0tfd 18 13 by by IN cord-134344-sxno0tfd 18 14 mid mid NNP cord-134344-sxno0tfd 18 15 February February NNP cord-134344-sxno0tfd 18 16 , , , cord-134344-sxno0tfd 18 17 China China NNP cord-134344-sxno0tfd 18 18 already already RB cord-134344-sxno0tfd 18 19 faced face VBD cord-134344-sxno0tfd 18 20 over over IN cord-134344-sxno0tfd 18 21 60 60 CD cord-134344-sxno0tfd 18 22 thousand thousand CD cord-134344-sxno0tfd 18 23 cases case NNS cord-134344-sxno0tfd 18 24 [ [ -LRB- cord-134344-sxno0tfd 18 25 26 26 CD cord-134344-sxno0tfd 18 26 ] ] -RRB- cord-134344-sxno0tfd 18 27 . . . cord-134344-sxno0tfd 19 1 Many many JJ cord-134344-sxno0tfd 19 2 scientists scientist NNS cord-134344-sxno0tfd 19 3 then then RB cord-134344-sxno0tfd 19 4 began begin VBD cord-134344-sxno0tfd 19 5 to to TO cord-134344-sxno0tfd 19 6 model model VB cord-134344-sxno0tfd 19 7 disease disease NN cord-134344-sxno0tfd 19 8 to to TO cord-134344-sxno0tfd 19 9 forecast forecast VB cord-134344-sxno0tfd 19 10 its -PRON- PRP$ cord-134344-sxno0tfd 19 11 worldwide worldwide JJ cord-134344-sxno0tfd 19 12 impact impact NN cord-134344-sxno0tfd 19 13 ( ( -LRB- cord-134344-sxno0tfd 19 14 [ [ -LRB- cord-134344-sxno0tfd 19 15 23 23 CD cord-134344-sxno0tfd 19 16 ] ] -RRB- cord-134344-sxno0tfd 19 17 , , , cord-134344-sxno0tfd 19 18 [ [ -LRB- cord-134344-sxno0tfd 19 19 5 5 CD cord-134344-sxno0tfd 19 20 ] ] -RRB- cord-134344-sxno0tfd 19 21 ) ) -RRB- cord-134344-sxno0tfd 19 22 , , , cord-134344-sxno0tfd 19 23 even even RB cord-134344-sxno0tfd 19 24 influencing influence VBG cord-134344-sxno0tfd 19 25 policies policy NNS cord-134344-sxno0tfd 19 26 of of IN cord-134344-sxno0tfd 19 27 many many JJ cord-134344-sxno0tfd 19 28 governments government NNS cord-134344-sxno0tfd 19 29 . . . cord-134344-sxno0tfd 20 1 As as IN cord-134344-sxno0tfd 20 2 the the DT cord-134344-sxno0tfd 20 3 disease disease NN cord-134344-sxno0tfd 20 4 spread spread VBD cord-134344-sxno0tfd 20 5 across across IN cord-134344-sxno0tfd 20 6 Europe Europe NNP cord-134344-sxno0tfd 20 7 and and CC cord-134344-sxno0tfd 20 8 the the DT cord-134344-sxno0tfd 20 9 United United NNP cord-134344-sxno0tfd 20 10 States States NNP cord-134344-sxno0tfd 20 11 , , , cord-134344-sxno0tfd 20 12 some some DT cord-134344-sxno0tfd 20 13 countries country NNS cord-134344-sxno0tfd 20 14 were be VBD cord-134344-sxno0tfd 20 15 forced force VBN cord-134344-sxno0tfd 20 16 to to TO cord-134344-sxno0tfd 20 17 implement implement VB cord-134344-sxno0tfd 20 18 quarantines quarantine NNS cord-134344-sxno0tfd 20 19 or or CC cord-134344-sxno0tfd 20 20 even even RB cord-134344-sxno0tfd 20 21 lockdowns lockdown NNS cord-134344-sxno0tfd 20 22 to to TO cord-134344-sxno0tfd 20 23 mitigate mitigate VB cord-134344-sxno0tfd 20 24 the the DT cord-134344-sxno0tfd 20 25 harms harm NNS cord-134344-sxno0tfd 20 26 and and CC cord-134344-sxno0tfd 20 27 were be VBD cord-134344-sxno0tfd 20 28 able able JJ cord-134344-sxno0tfd 20 29 to to TO cord-134344-sxno0tfd 20 30 do do VB cord-134344-sxno0tfd 20 31 the the DT cord-134344-sxno0tfd 20 32 so so RB cord-134344-sxno0tfd 20 33 called call VBN cord-134344-sxno0tfd 20 34 " " `` cord-134344-sxno0tfd 20 35 flattening flatten VBG cord-134344-sxno0tfd 20 36 of of IN cord-134344-sxno0tfd 20 37 the the DT cord-134344-sxno0tfd 20 38 curve curve NN cord-134344-sxno0tfd 20 39 " " '' cord-134344-sxno0tfd 20 40 , , , cord-134344-sxno0tfd 20 41 i.e. i.e. FW cord-134344-sxno0tfd 20 42 , , , cord-134344-sxno0tfd 20 43 to to TO cord-134344-sxno0tfd 20 44 postpone postpone VB cord-134344-sxno0tfd 20 45 and and CC cord-134344-sxno0tfd 20 46 dampen dampen VB cord-134344-sxno0tfd 20 47 the the DT cord-134344-sxno0tfd 20 48 maximum maximum JJ cord-134344-sxno0tfd 20 49 number number NN cord-134344-sxno0tfd 20 50 of of IN cord-134344-sxno0tfd 20 51 active active JJ cord-134344-sxno0tfd 20 52 cases case NNS cord-134344-sxno0tfd 20 53 . . . cord-134344-sxno0tfd 21 1 By by IN cord-134344-sxno0tfd 21 2 mid mid NNP cord-134344-sxno0tfd 21 3 May May NNP cord-134344-sxno0tfd 21 4 , , , cord-134344-sxno0tfd 21 5 Brazil Brazil NNP cord-134344-sxno0tfd 21 6 is be VBZ cord-134344-sxno0tfd 21 7 entering enter VBG cord-134344-sxno0tfd 21 8 this this DT cord-134344-sxno0tfd 21 9 stage stage NN cord-134344-sxno0tfd 21 10 , , , cord-134344-sxno0tfd 21 11 with with IN cord-134344-sxno0tfd 21 12 some some DT cord-134344-sxno0tfd 21 13 states state NNS cord-134344-sxno0tfd 21 14 declaring declare VBG cord-134344-sxno0tfd 21 15 stricter strict JJR cord-134344-sxno0tfd 21 16 quarantine quarantine NN cord-134344-sxno0tfd 21 17 policies policy NNS cord-134344-sxno0tfd 21 18 . . . cord-134344-sxno0tfd 22 1 Optimal optimal JJ cord-134344-sxno0tfd 22 2 control control NN cord-134344-sxno0tfd 22 3 theory theory NN cord-134344-sxno0tfd 22 4 has have VBZ cord-134344-sxno0tfd 22 5 been be VBN cord-134344-sxno0tfd 22 6 applied apply VBN cord-134344-sxno0tfd 22 7 to to IN cord-134344-sxno0tfd 22 8 general general JJ cord-134344-sxno0tfd 22 9 epidemic epidemic NN cord-134344-sxno0tfd 22 10 models model NNS cord-134344-sxno0tfd 22 11 ( ( -LRB- cord-134344-sxno0tfd 22 12 [ [ -LRB- cord-134344-sxno0tfd 22 13 1 1 CD cord-134344-sxno0tfd 22 14 ] ] -RRB- cord-134344-sxno0tfd 22 15 , , , cord-134344-sxno0tfd 22 16 [ [ -LRB- cord-134344-sxno0tfd 22 17 18 18 CD cord-134344-sxno0tfd 22 18 ] ] -RRB- cord-134344-sxno0tfd 22 19 ) ) -RRB- cord-134344-sxno0tfd 22 20 as as RB cord-134344-sxno0tfd 22 21 well well RB cord-134344-sxno0tfd 22 22 as as IN cord-134344-sxno0tfd 22 23 to to IN cord-134344-sxno0tfd 22 24 specific specific JJ cord-134344-sxno0tfd 22 25 disease disease NN cord-134344-sxno0tfd 22 26 models model NNS cord-134344-sxno0tfd 22 27 such such JJ cord-134344-sxno0tfd 22 28 as as IN cord-134344-sxno0tfd 22 29 HIV HIV NNP cord-134344-sxno0tfd 22 30 ( ( -LRB- cord-134344-sxno0tfd 22 31 [ [ -LRB- cord-134344-sxno0tfd 22 32 10 10 CD cord-134344-sxno0tfd 22 33 ] ] -RRB- cord-134344-sxno0tfd 22 34 , , , cord-134344-sxno0tfd 22 35 [ [ -LRB- cord-134344-sxno0tfd 22 36 6 6 CD cord-134344-sxno0tfd 22 37 ] ] -RRB- cord-134344-sxno0tfd 22 38 , , , cord-134344-sxno0tfd 22 39 [ [ -LRB- cord-134344-sxno0tfd 22 40 13 13 CD cord-134344-sxno0tfd 22 41 ] ] -RRB- cord-134344-sxno0tfd 22 42 ) ) -RRB- cord-134344-sxno0tfd 22 43 , , , cord-134344-sxno0tfd 22 44 tuberculosis tuberculosis NN cord-134344-sxno0tfd 22 45 ( ( -LRB- cord-134344-sxno0tfd 22 46 [ [ -LRB- cord-134344-sxno0tfd 22 47 21 21 CD cord-134344-sxno0tfd 22 48 ] ] -RRB- cord-134344-sxno0tfd 22 49 , , , cord-134344-sxno0tfd 22 50 [ [ -LRB- cord-134344-sxno0tfd 22 51 12 12 CD cord-134344-sxno0tfd 22 52 ] ] -RRB- cord-134344-sxno0tfd 22 53 ) ) -RRB- cord-134344-sxno0tfd 22 54 and and CC cord-134344-sxno0tfd 22 55 influenza influenza NN cord-134344-sxno0tfd 22 56 ( ( -LRB- cord-134344-sxno0tfd 22 57 [ [ -LRB- cord-134344-sxno0tfd 22 58 15 15 CD cord-134344-sxno0tfd 22 59 ] ] -RRB- cord-134344-sxno0tfd 22 60 ) ) -RRB- cord-134344-sxno0tfd 22 61 . . . cord-134344-sxno0tfd 23 1 Recently recently RB cord-134344-sxno0tfd 23 2 , , , cord-134344-sxno0tfd 23 3 a a DT cord-134344-sxno0tfd 23 4 few few JJ cord-134344-sxno0tfd 23 5 works work NNS cord-134344-sxno0tfd 23 6 applying apply VBG cord-134344-sxno0tfd 23 7 optimal optimal JJ cord-134344-sxno0tfd 23 8 control control NN cord-134344-sxno0tfd 23 9 theory theory NN cord-134344-sxno0tfd 23 10 to to IN cord-134344-sxno0tfd 23 11 the the DT cord-134344-sxno0tfd 23 12 COVID-19 COVID-19 NNP cord-134344-sxno0tfd 23 13 pandemic pandemic NN cord-134344-sxno0tfd 23 14 , , , cord-134344-sxno0tfd 23 15 such such JJ cord-134344-sxno0tfd 23 16 as as IN cord-134344-sxno0tfd 23 17 [ [ -LRB- cord-134344-sxno0tfd 23 18 7 7 CD cord-134344-sxno0tfd 23 19 ] ] -RRB- cord-134344-sxno0tfd 23 20 and and CC cord-134344-sxno0tfd 23 21 [ [ -LRB- cord-134344-sxno0tfd 23 22 4 4 CD cord-134344-sxno0tfd 23 23 ] ] -RRB- cord-134344-sxno0tfd 23 24 , , , cord-134344-sxno0tfd 23 25 have have VBP cord-134344-sxno0tfd 23 26 appeared appear VBN cord-134344-sxno0tfd 23 27 . . . cord-134344-sxno0tfd 24 1 This this DT cord-134344-sxno0tfd 24 2 paper paper NN cord-134344-sxno0tfd 24 3 focuses focus VBZ cord-134344-sxno0tfd 24 4 on on IN cord-134344-sxno0tfd 24 5 a a DT cord-134344-sxno0tfd 24 6 SEIR seir JJ cord-134344-sxno0tfd 24 7 model model NN cord-134344-sxno0tfd 24 8 with with IN cord-134344-sxno0tfd 24 9 quarantine quarantine NN cord-134344-sxno0tfd 24 10 as as IN cord-134344-sxno0tfd 24 11 was be VBD cord-134344-sxno0tfd 24 12 proposed propose VBN cord-134344-sxno0tfd 24 13 in in IN cord-134344-sxno0tfd 24 14 [ [ -LRB- cord-134344-sxno0tfd 24 15 9 9 CD cord-134344-sxno0tfd 24 16 ] ] -RRB- cord-134344-sxno0tfd 24 17 , , , cord-134344-sxno0tfd 24 18 but but CC cord-134344-sxno0tfd 24 19 dividing divide VBG cord-134344-sxno0tfd 24 20 the the DT cord-134344-sxno0tfd 24 21 population population NN cord-134344-sxno0tfd 24 22 in in IN cord-134344-sxno0tfd 24 23 age age NN cord-134344-sxno0tfd 24 24 groups group NNS cord-134344-sxno0tfd 24 25 as as IN cord-134344-sxno0tfd 24 26 in in IN cord-134344-sxno0tfd 24 27 [ [ -LRB- cord-134344-sxno0tfd 24 28 2 2 CD cord-134344-sxno0tfd 24 29 ] ] -RRB- cord-134344-sxno0tfd 24 30 . . . cord-134344-sxno0tfd 25 1 This this DT cord-134344-sxno0tfd 25 2 is be VBZ cord-134344-sxno0tfd 25 3 particularly particularly RB cord-134344-sxno0tfd 25 4 important important JJ cord-134344-sxno0tfd 25 5 since since IN cord-134344-sxno0tfd 25 6 COVID-19 COVID-19 NNP cord-134344-sxno0tfd 25 7 has have VBZ cord-134344-sxno0tfd 25 8 worse bad JJR cord-134344-sxno0tfd 25 9 consequences consequence NNS cord-134344-sxno0tfd 25 10 on on IN cord-134344-sxno0tfd 25 11 the the DT cord-134344-sxno0tfd 25 12 elderly elderly JJ cord-134344-sxno0tfd 25 13 than than IN cord-134344-sxno0tfd 25 14 it -PRON- PRP cord-134344-sxno0tfd 25 15 does do VBZ cord-134344-sxno0tfd 25 16 on on IN cord-134344-sxno0tfd 25 17 younger young JJR cord-134344-sxno0tfd 25 18 people people NNS cord-134344-sxno0tfd 25 19 . . . cord-134344-sxno0tfd 26 1 Our -PRON- PRP$ cord-134344-sxno0tfd 26 2 goal goal NN cord-134344-sxno0tfd 26 3 is be VBZ cord-134344-sxno0tfd 26 4 to to TO cord-134344-sxno0tfd 26 5 calculate calculate VB cord-134344-sxno0tfd 26 6 the the DT cord-134344-sxno0tfd 26 7 optimal optimal JJ cord-134344-sxno0tfd 26 8 quarantine quarantine NN cord-134344-sxno0tfd 26 9 strategies strategy NNS cord-134344-sxno0tfd 26 10 numerically numerically RB cord-134344-sxno0tfd 26 11 for for IN cord-134344-sxno0tfd 26 12 different different JJ cord-134344-sxno0tfd 26 13 choices choice NNS cord-134344-sxno0tfd 26 14 of of IN cord-134344-sxno0tfd 26 15 parameters parameter NNS cord-134344-sxno0tfd 26 16 in in IN cord-134344-sxno0tfd 26 17 the the DT cord-134344-sxno0tfd 26 18 model model NN cord-134344-sxno0tfd 26 19 , , , cord-134344-sxno0tfd 26 20 which which WDT cord-134344-sxno0tfd 26 21 reflect reflect VBP cord-134344-sxno0tfd 26 22 the the DT cord-134344-sxno0tfd 26 23 decisions decision NNS cord-134344-sxno0tfd 26 24 governments government NNS cord-134344-sxno0tfd 26 25 must must MD cord-134344-sxno0tfd 26 26 make make VB cord-134344-sxno0tfd 26 27 when when WRB cord-134344-sxno0tfd 26 28 implementing implement VBG cord-134344-sxno0tfd 26 29 these these DT cord-134344-sxno0tfd 26 30 policies policy NNS cord-134344-sxno0tfd 26 31 , , , cord-134344-sxno0tfd 26 32 such such JJ cord-134344-sxno0tfd 26 33 as as IN cord-134344-sxno0tfd 26 34 evaluating evaluate VBG cord-134344-sxno0tfd 26 35 the the DT cord-134344-sxno0tfd 26 36 economical economical JJ cord-134344-sxno0tfd 26 37 costs cost NNS cord-134344-sxno0tfd 26 38 of of IN cord-134344-sxno0tfd 26 39 the the DT cord-134344-sxno0tfd 26 40 quarantine quarantine NN cord-134344-sxno0tfd 26 41 for for IN cord-134344-sxno0tfd 26 42 each each DT cord-134344-sxno0tfd 26 43 of of IN cord-134344-sxno0tfd 26 44 the the DT cord-134344-sxno0tfd 26 45 age age NN cord-134344-sxno0tfd 26 46 groups group NNS cord-134344-sxno0tfd 26 47 and and CC cord-134344-sxno0tfd 26 48 when when WRB cord-134344-sxno0tfd 26 49 to to TO cord-134344-sxno0tfd 26 50 start start VB cord-134344-sxno0tfd 26 51 implementing implement VBG cord-134344-sxno0tfd 26 52 the the DT cord-134344-sxno0tfd 26 53 measures measure NNS cord-134344-sxno0tfd 26 54 . . . cord-134344-sxno0tfd 27 1 Then then RB cord-134344-sxno0tfd 27 2 , , , cord-134344-sxno0tfd 27 3 we -PRON- PRP cord-134344-sxno0tfd 27 4 compare compare VBP cord-134344-sxno0tfd 27 5 the the DT cord-134344-sxno0tfd 27 6 controls control NNS cord-134344-sxno0tfd 27 7 by by IN cord-134344-sxno0tfd 27 8 looking look VBG cord-134344-sxno0tfd 27 9 at at IN cord-134344-sxno0tfd 27 10 how how WRB cord-134344-sxno0tfd 27 11 they -PRON- PRP cord-134344-sxno0tfd 27 12 reduce reduce VBP cord-134344-sxno0tfd 27 13 deaths death NNS cord-134344-sxno0tfd 27 14 in in IN cord-134344-sxno0tfd 27 15 comparison comparison NN cord-134344-sxno0tfd 27 16 to to IN cord-134344-sxno0tfd 27 17 the the DT cord-134344-sxno0tfd 27 18 same same JJ cord-134344-sxno0tfd 27 19 period period NN cord-134344-sxno0tfd 27 20 without without IN cord-134344-sxno0tfd 27 21 quarantine quarantine NN cord-134344-sxno0tfd 27 22 . . . cord-134344-sxno0tfd 28 1 The the DT cord-134344-sxno0tfd 28 2 best good JJS cord-134344-sxno0tfd 28 3 strategy strategy NN cord-134344-sxno0tfd 28 4 gave give VBD cord-134344-sxno0tfd 28 5 us -PRON- PRP cord-134344-sxno0tfd 28 6 a a DT cord-134344-sxno0tfd 28 7 calendar calendar NN cord-134344-sxno0tfd 28 8 of of IN cord-134344-sxno0tfd 28 9 when when WRB cord-134344-sxno0tfd 28 10 to to TO cord-134344-sxno0tfd 28 11 relax relax VB cord-134344-sxno0tfd 28 12 the the DT cord-134344-sxno0tfd 28 13 measures measure NNS cord-134344-sxno0tfd 28 14 in in IN cord-134344-sxno0tfd 28 15 each each DT cord-134344-sxno0tfd 28 16 of of IN cord-134344-sxno0tfd 28 17 the the DT cord-134344-sxno0tfd 28 18 age age NN cord-134344-sxno0tfd 28 19 groups group NNS cord-134344-sxno0tfd 28 20 . . . cord-134344-sxno0tfd 29 1 Our -PRON- PRP$ cord-134344-sxno0tfd 29 2 model model NN cord-134344-sxno0tfd 29 3 consists consist VBZ cord-134344-sxno0tfd 29 4 of of IN cord-134344-sxno0tfd 29 5 a a DT cord-134344-sxno0tfd 29 6 classical classical JJ cord-134344-sxno0tfd 29 7 SEIR seir NN cord-134344-sxno0tfd 29 8 model model NN cord-134344-sxno0tfd 29 9 with with IN cord-134344-sxno0tfd 29 10 a a DT cord-134344-sxno0tfd 29 11 quarantined quarantine VBN cord-134344-sxno0tfd 29 12 class class NN cord-134344-sxno0tfd 29 13 . . . cord-134344-sxno0tfd 30 1 Besides besides RB cord-134344-sxno0tfd 30 2 , , , cord-134344-sxno0tfd 30 3 we -PRON- PRP cord-134344-sxno0tfd 30 4 assume assume VBP cord-134344-sxno0tfd 30 5 that that IN cord-134344-sxno0tfd 30 6 the the DT cord-134344-sxno0tfd 30 7 population population NN cord-134344-sxno0tfd 30 8 has have VBZ cord-134344-sxno0tfd 30 9 an an DT cord-134344-sxno0tfd 30 10 age age NN cord-134344-sxno0tfd 30 11 structure structure NN cord-134344-sxno0tfd 30 12 ( ( -LRB- cord-134344-sxno0tfd 30 13 see see VB cord-134344-sxno0tfd 30 14 [ [ -LRB- cord-134344-sxno0tfd 30 15 22 22 CD cord-134344-sxno0tfd 30 16 ] ] -RRB- cord-134344-sxno0tfd 30 17 , , , cord-134344-sxno0tfd 30 18 [ [ -LRB- cord-134344-sxno0tfd 30 19 8 8 CD cord-134344-sxno0tfd 30 20 ] ] -RRB- cord-134344-sxno0tfd 30 21 for for IN cord-134344-sxno0tfd 30 22 models model NNS cord-134344-sxno0tfd 30 23 with with IN cord-134344-sxno0tfd 30 24 a a DT cord-134344-sxno0tfd 30 25 continuous continuous JJ cord-134344-sxno0tfd 30 26 age age NN cord-134344-sxno0tfd 30 27 structure structure NN cord-134344-sxno0tfd 30 28 and and CC cord-134344-sxno0tfd 30 29 [ [ -LRB- cord-134344-sxno0tfd 30 30 25 25 CD cord-134344-sxno0tfd 30 31 ] ] -RRB- cord-134344-sxno0tfd 30 32 , , , cord-134344-sxno0tfd 30 33 [ [ -LRB- cord-134344-sxno0tfd 30 34 24 24 CD cord-134344-sxno0tfd 30 35 ] ] -RRB- cord-134344-sxno0tfd 30 36 for for IN cord-134344-sxno0tfd 30 37 models model NNS cord-134344-sxno0tfd 30 38 with with IN cord-134344-sxno0tfd 30 39 a a DT cord-134344-sxno0tfd 30 40 discrete discrete JJ cord-134344-sxno0tfd 30 41 one one CD cord-134344-sxno0tfd 30 42 ) ) -RRB- cord-134344-sxno0tfd 30 43 . . . cord-134344-sxno0tfd 31 1 There there EX cord-134344-sxno0tfd 31 2 are be VBP cord-134344-sxno0tfd 31 3 three three CD cord-134344-sxno0tfd 31 4 age age NN cord-134344-sxno0tfd 31 5 groups group NNS cord-134344-sxno0tfd 31 6 , , , cord-134344-sxno0tfd 31 7 described describe VBN cord-134344-sxno0tfd 31 8 in in IN cord-134344-sxno0tfd 31 9 Table Table NNP cord-134344-sxno0tfd 31 10 1 1 CD cord-134344-sxno0tfd 31 11 . . . cord-134344-sxno0tfd 32 1 and and CC cord-134344-sxno0tfd 32 2 Q Q NNP cord-134344-sxno0tfd 32 3 i i PRP cord-134344-sxno0tfd 32 4 ( ( -LRB- cord-134344-sxno0tfd 32 5 t t NN cord-134344-sxno0tfd 32 6 ) ) -RRB- cord-134344-sxno0tfd 32 7 be be VB cord-134344-sxno0tfd 32 8 the the DT cord-134344-sxno0tfd 32 9 number number NN cord-134344-sxno0tfd 32 10 of of IN cord-134344-sxno0tfd 32 11 susceptible susceptible JJ cord-134344-sxno0tfd 32 12 , , , cord-134344-sxno0tfd 32 13 exposed expose VBN cord-134344-sxno0tfd 32 14 , , , cord-134344-sxno0tfd 32 15 infected infect VBN cord-134344-sxno0tfd 32 16 , , , cord-134344-sxno0tfd 32 17 recovered recover VBN cord-134344-sxno0tfd 32 18 and and CC cord-134344-sxno0tfd 32 19 quarantined quarantine VBN cord-134344-sxno0tfd 32 20 individuals individual NNS cord-134344-sxno0tfd 32 21 in in IN cord-134344-sxno0tfd 32 22 each each DT cord-134344-sxno0tfd 32 23 age age NN cord-134344-sxno0tfd 32 24 group group NN cord-134344-sxno0tfd 32 25 at at IN cord-134344-sxno0tfd 32 26 time time NN cord-134344-sxno0tfd 32 27 t t NNP cord-134344-sxno0tfd 32 28 ≥ ≥ CD cord-134344-sxno0tfd 32 29 0 0 CD cord-134344-sxno0tfd 32 30 , , , cord-134344-sxno0tfd 32 31 respectively respectively RB cord-134344-sxno0tfd 32 32 . . . cord-134344-sxno0tfd 33 1 We -PRON- PRP cord-134344-sxno0tfd 33 2 assume assume VBP cord-134344-sxno0tfd 33 3 that that IN cord-134344-sxno0tfd 33 4 the the DT cord-134344-sxno0tfd 33 5 total total JJ cord-134344-sxno0tfd 33 6 population population NN cord-134344-sxno0tfd 33 7 _SP cord-134344-sxno0tfd 33 8 All all DT cord-134344-sxno0tfd 33 9 parameters parameter NNS cord-134344-sxno0tfd 33 10 are be VBP cord-134344-sxno0tfd 33 11 nonnegative nonnegative JJ cord-134344-sxno0tfd 33 12 . . . cord-134344-sxno0tfd 34 1 β β NNP cord-134344-sxno0tfd 34 2 ij ij NNP cord-134344-sxno0tfd 34 3 is be VBZ cord-134344-sxno0tfd 34 4 the the DT cord-134344-sxno0tfd 34 5 transmission transmission NN cord-134344-sxno0tfd 34 6 coefficient coefficient NN cord-134344-sxno0tfd 34 7 from from IN cord-134344-sxno0tfd 34 8 age age NN cord-134344-sxno0tfd 34 9 group group NN cord-134344-sxno0tfd 34 10 i i PRP cord-134344-sxno0tfd 34 11 to to IN cord-134344-sxno0tfd 34 12 age age NN cord-134344-sxno0tfd 34 13 group group NN cord-134344-sxno0tfd 35 1 j. j. NNP cord-134344-sxno0tfd 35 2 Typically typically RB cord-134344-sxno0tfd 35 3 , , , cord-134344-sxno0tfd 35 4 it -PRON- PRP cord-134344-sxno0tfd 35 5 will will MD cord-134344-sxno0tfd 35 6 be be VB cord-134344-sxno0tfd 35 7 assumed assume VBN cord-134344-sxno0tfd 35 8 that that IN cord-134344-sxno0tfd 35 9 β β NN cord-134344-sxno0tfd 35 10 ij ij NNP cord-134344-sxno0tfd 35 11 = = SYM cord-134344-sxno0tfd 35 12 β β NNP cord-134344-sxno0tfd 35 13 ji ji NNP cord-134344-sxno0tfd 35 14 for for IN cord-134344-sxno0tfd 35 15 all all DT cord-134344-sxno0tfd 35 16 i i PRP cord-134344-sxno0tfd 35 17 , , , cord-134344-sxno0tfd 35 18 j. j. NNP cord-134344-sxno0tfd 35 19 σ σ NNP cord-134344-sxno0tfd 35 20 i i NNP cord-134344-sxno0tfd 35 21 and and CC cord-134344-sxno0tfd 35 22 γ γ NNP cord-134344-sxno0tfd 36 1 i i PRP cord-134344-sxno0tfd 36 2 are be VBP cord-134344-sxno0tfd 36 3 the the DT cord-134344-sxno0tfd 36 4 latency latency NN cord-134344-sxno0tfd 36 5 and and CC cord-134344-sxno0tfd 36 6 recovery recovery NN cord-134344-sxno0tfd 36 7 periods period NNS cord-134344-sxno0tfd 36 8 , , , cord-134344-sxno0tfd 36 9 respectively respectively RB cord-134344-sxno0tfd 36 10 , , , cord-134344-sxno0tfd 36 11 for for IN cord-134344-sxno0tfd 36 12 age age NN cord-134344-sxno0tfd 36 13 group group NN cord-134344-sxno0tfd 36 14 i. i. NN cord-134344-sxno0tfd 36 15 λ λ NNP cord-134344-sxno0tfd 36 16 is be VBZ cord-134344-sxno0tfd 36 17 the the DT cord-134344-sxno0tfd 36 18 exit exit NN cord-134344-sxno0tfd 36 19 rate rate NN cord-134344-sxno0tfd 36 20 from from IN cord-134344-sxno0tfd 36 21 the the DT cord-134344-sxno0tfd 36 22 quarantine quarantine NN cord-134344-sxno0tfd 36 23 . . . cord-134344-sxno0tfd 37 1 Our -PRON- PRP$ cord-134344-sxno0tfd 37 2 controls control NNS cord-134344-sxno0tfd 37 3 are be VBP cord-134344-sxno0tfd 37 4 the the DT cord-134344-sxno0tfd 37 5 u u NNP cord-134344-sxno0tfd 37 6 i i NN cord-134344-sxno0tfd 37 7 ( ( -LRB- cord-134344-sxno0tfd 37 8 t t NNP cord-134344-sxno0tfd 37 9 ) ) -RRB- cord-134344-sxno0tfd 37 10 , , , cord-134344-sxno0tfd 37 11 which which WDT cord-134344-sxno0tfd 37 12 denote denote VBP cord-134344-sxno0tfd 37 13 the the DT cord-134344-sxno0tfd 37 14 percentage percentage NN cord-134344-sxno0tfd 37 15 of of IN cord-134344-sxno0tfd 37 16 susceptible susceptible JJ cord-134344-sxno0tfd 37 17 individuals individual NNS cord-134344-sxno0tfd 37 18 in in IN cord-134344-sxno0tfd 37 19 each each DT cord-134344-sxno0tfd 37 20 age age NN cord-134344-sxno0tfd 37 21 group group NN cord-134344-sxno0tfd 37 22 that that WDT cord-134344-sxno0tfd 37 23 are be VBP cord-134344-sxno0tfd 37 24 put put VBN cord-134344-sxno0tfd 37 25 into into IN cord-134344-sxno0tfd 37 26 quarantine quarantine NN cord-134344-sxno0tfd 37 27 at at IN cord-134344-sxno0tfd 37 28 time time NN cord-134344-sxno0tfd 38 1 t. t. NNP cord-134344-sxno0tfd 39 1 As as IN cord-134344-sxno0tfd 39 2 such such JJ cord-134344-sxno0tfd 39 3 , , , cord-134344-sxno0tfd 39 4 they -PRON- PRP cord-134344-sxno0tfd 39 5 satisfy satisfy VBP cord-134344-sxno0tfd 39 6 , , , cord-134344-sxno0tfd 39 7 a a FW cord-134344-sxno0tfd 39 8 priori priori FW cord-134344-sxno0tfd 39 9 , , , cord-134344-sxno0tfd 39 10 However however RB cord-134344-sxno0tfd 39 11 , , , cord-134344-sxno0tfd 39 12 it -PRON- PRP cord-134344-sxno0tfd 39 13 is be VBZ cord-134344-sxno0tfd 39 14 unrealistic unrealistic JJ cord-134344-sxno0tfd 39 15 to to TO cord-134344-sxno0tfd 39 16 expect expect VB cord-134344-sxno0tfd 39 17 an an DT cord-134344-sxno0tfd 39 18 entire entire JJ cord-134344-sxno0tfd 39 19 population population NN cord-134344-sxno0tfd 39 20 to to TO cord-134344-sxno0tfd 39 21 stay stay VB cord-134344-sxno0tfd 39 22 under under IN cord-134344-sxno0tfd 39 23 quarantine quarantine NN cord-134344-sxno0tfd 39 24 for for IN cord-134344-sxno0tfd 39 25 a a DT cord-134344-sxno0tfd 39 26 long long JJ cord-134344-sxno0tfd 39 27 time time NN cord-134344-sxno0tfd 39 28 . . . cord-134344-sxno0tfd 40 1 There there EX cord-134344-sxno0tfd 40 2 are be VBP cord-134344-sxno0tfd 40 3 essential essential JJ cord-134344-sxno0tfd 40 4 workers worker NNS cord-134344-sxno0tfd 40 5 such such JJ cord-134344-sxno0tfd 40 6 as as IN cord-134344-sxno0tfd 40 7 healthcare healthcare NN cord-134344-sxno0tfd 40 8 professionals professional NNS cord-134344-sxno0tfd 40 9 and and CC cord-134344-sxno0tfd 40 10 police police NN cord-134344-sxno0tfd 40 11 officers officer NNS cord-134344-sxno0tfd 40 12 that that WDT cord-134344-sxno0tfd 40 13 can can MD cord-134344-sxno0tfd 40 14 not not RB cord-134344-sxno0tfd 40 15 stay stay VB cord-134344-sxno0tfd 40 16 at at IN cord-134344-sxno0tfd 40 17 home home NN cord-134344-sxno0tfd 40 18 during during IN cord-134344-sxno0tfd 40 19 these these DT cord-134344-sxno0tfd 40 20 times time NNS cord-134344-sxno0tfd 40 21 . . . cord-134344-sxno0tfd 41 1 As as IN cord-134344-sxno0tfd 41 2 most most JJS cord-134344-sxno0tfd 41 3 of of IN cord-134344-sxno0tfd 41 4 these these DT cord-134344-sxno0tfd 41 5 workers worker NNS cord-134344-sxno0tfd 41 6 are be VBP cord-134344-sxno0tfd 41 7 in in IN cord-134344-sxno0tfd 41 8 age age NN cord-134344-sxno0tfd 41 9 group group NN cord-134344-sxno0tfd 41 10 2 2 CD cord-134344-sxno0tfd 41 11 , , , cord-134344-sxno0tfd 41 12 we -PRON- PRP cord-134344-sxno0tfd 41 13 suppose suppose VBP cord-134344-sxno0tfd 41 14 that that IN cord-134344-sxno0tfd 41 15 all all DT cord-134344-sxno0tfd 41 16 of of IN cord-134344-sxno0tfd 41 17 age age NN cord-134344-sxno0tfd 41 18 groups group NNS cord-134344-sxno0tfd 41 19 1 1 CD cord-134344-sxno0tfd 41 20 and and CC cord-134344-sxno0tfd 41 21 3 3 CD cord-134344-sxno0tfd 41 22 can can MD cord-134344-sxno0tfd 41 23 be be VB cord-134344-sxno0tfd 41 24 quarantined quarantine VBN cord-134344-sxno0tfd 41 25 ( ( -LRB- cord-134344-sxno0tfd 41 26 for for IN cord-134344-sxno0tfd 41 27 age age NN cord-134344-sxno0tfd 41 28 group group NN cord-134344-sxno0tfd 41 29 3 3 CD cord-134344-sxno0tfd 41 30 , , , cord-134344-sxno0tfd 41 31 indeed indeed RB cord-134344-sxno0tfd 41 32 , , , cord-134344-sxno0tfd 41 33 this this DT cord-134344-sxno0tfd 41 34 is be VBZ cord-134344-sxno0tfd 41 35 especially especially RB cord-134344-sxno0tfd 41 36 important important JJ cord-134344-sxno0tfd 41 37 since since IN cord-134344-sxno0tfd 41 38 they -PRON- PRP cord-134344-sxno0tfd 41 39 are be VBP cord-134344-sxno0tfd 41 40 a a DT cord-134344-sxno0tfd 41 41 risk risk NN cord-134344-sxno0tfd 41 42 group group NN cord-134344-sxno0tfd 41 43 for for IN cord-134344-sxno0tfd 41 44 the the DT cord-134344-sxno0tfd 41 45 COVID-19 COVID-19 NNP cord-134344-sxno0tfd 41 46 pandemic pandemic NN cord-134344-sxno0tfd 41 47 ) ) -RRB- cord-134344-sxno0tfd 41 48 . . . cord-134344-sxno0tfd 42 1 Thus thus RB cord-134344-sxno0tfd 42 2 , , , cord-134344-sxno0tfd 42 3 we -PRON- PRP cord-134344-sxno0tfd 42 4 shall shall MD cord-134344-sxno0tfd 42 5 loosen loosen VB cord-134344-sxno0tfd 42 6 ( ( -LRB- cord-134344-sxno0tfd 42 7 2.2 2.2 CD cord-134344-sxno0tfd 42 8 ) ) -RRB- cord-134344-sxno0tfd 42 9 by by IN cord-134344-sxno0tfd 42 10 considering consider VBG cord-134344-sxno0tfd 42 11 , , , cord-134344-sxno0tfd 42 12 for for IN cord-134344-sxno0tfd 42 13 example example NN cord-134344-sxno0tfd 42 14 , , , cord-134344-sxno0tfd 42 15 0 0 CD cord-134344-sxno0tfd 42 16 ≤ ≤ NN cord-134344-sxno0tfd 42 17 u u NNP cord-134344-sxno0tfd 42 18 2 2 CD cord-134344-sxno0tfd 42 19 ( ( -LRB- cord-134344-sxno0tfd 42 20 t t NN cord-134344-sxno0tfd 42 21 ) ) -RRB- cord-134344-sxno0tfd 42 22 ≤ ≤ NNP cord-134344-sxno0tfd 42 23 u u NNP cord-134344-sxno0tfd 42 24 max max NNP cord-134344-sxno0tfd 42 25 . . . cord-134344-sxno0tfd 43 1 Evaluating evaluate VBG cord-134344-sxno0tfd 43 2 u u NNP cord-134344-sxno0tfd 43 3 max max NNP cord-134344-sxno0tfd 43 4 is be VBZ cord-134344-sxno0tfd 43 5 one one CD cord-134344-sxno0tfd 43 6 of of IN cord-134344-sxno0tfd 43 7 the the DT cord-134344-sxno0tfd 43 8 tasks task NNS cord-134344-sxno0tfd 43 9 of of IN cord-134344-sxno0tfd 43 10 each each DT cord-134344-sxno0tfd 43 11 government government NN cord-134344-sxno0tfd 43 12 's 's POS cord-134344-sxno0tfd 43 13 authorities authority NNS cord-134344-sxno0tfd 43 14 . . . cord-134344-sxno0tfd 44 1 In in IN cord-134344-sxno0tfd 44 2 this this DT cord-134344-sxno0tfd 44 3 paper paper NN cord-134344-sxno0tfd 44 4 , , , cord-134344-sxno0tfd 44 5 we -PRON- PRP cord-134344-sxno0tfd 44 6 fix fix VBP cord-134344-sxno0tfd 44 7 this this DT cord-134344-sxno0tfd 44 8 parameter parameter NN cord-134344-sxno0tfd 44 9 at at IN cord-134344-sxno0tfd 44 10 u u NNP cord-134344-sxno0tfd 44 11 max max NN cord-134344-sxno0tfd 44 12 = = SYM cord-134344-sxno0tfd 44 13 0.9 0.9 CD cord-134344-sxno0tfd 44 14 . . . cord-134344-sxno0tfd 45 1 This this DT cord-134344-sxno0tfd 45 2 means mean VBZ cord-134344-sxno0tfd 45 3 that that WDT cord-134344-sxno0tfd 45 4 be be VB cord-134344-sxno0tfd 45 5 the the DT cord-134344-sxno0tfd 45 6 total total JJ cord-134344-sxno0tfd 45 7 population population NN cord-134344-sxno0tfd 45 8 of of IN cord-134344-sxno0tfd 45 9 age age NN cord-134344-sxno0tfd 45 10 group group NN cord-134344-sxno0tfd 45 11 i. i. NN cord-134344-sxno0tfd 46 1 Adding add VBG cord-134344-sxno0tfd 46 2 the the DT cord-134344-sxno0tfd 46 3 equations equation NNS cord-134344-sxno0tfd 46 4 in in IN cord-134344-sxno0tfd 46 5 the the DT cord-134344-sxno0tfd 46 6 system system NN cord-134344-sxno0tfd 46 7 above above RB cord-134344-sxno0tfd 46 8 , , , cord-134344-sxno0tfd 46 9 we -PRON- PRP cord-134344-sxno0tfd 46 10 see see VBP cord-134344-sxno0tfd 46 11 that that IN cord-134344-sxno0tfd 46 12 N n NN cord-134344-sxno0tfd 46 13 i i PRP cord-134344-sxno0tfd 46 14 ( ( -LRB- cord-134344-sxno0tfd 46 15 t t NN cord-134344-sxno0tfd 46 16 ) ) -RRB- cord-134344-sxno0tfd 46 17 is be VBZ cord-134344-sxno0tfd 46 18 also also RB cord-134344-sxno0tfd 46 19 constant constant JJ cord-134344-sxno0tfd 46 20 for for IN cord-134344-sxno0tfd 46 21 i i PRP cord-134344-sxno0tfd 46 22 ∈ ∈ VBP cord-134344-sxno0tfd 46 23 { { -LRB- cord-134344-sxno0tfd 46 24 1 1 CD cord-134344-sxno0tfd 46 25 , , , cord-134344-sxno0tfd 46 26 2 2 CD cord-134344-sxno0tfd 46 27 , , , cord-134344-sxno0tfd 46 28 3 3 CD cord-134344-sxno0tfd 46 29 } } -RRB- cord-134344-sxno0tfd 46 30 . . . cord-134344-sxno0tfd 47 1 Since since IN cord-134344-sxno0tfd 47 2 R R NNP cord-134344-sxno0tfd 47 3 i i NN cord-134344-sxno0tfd 47 4 ( ( -LRB- cord-134344-sxno0tfd 47 5 t t NN cord-134344-sxno0tfd 47 6 ) ) -RRB- cord-134344-sxno0tfd 47 7 only only RB cord-134344-sxno0tfd 47 8 appears appear VBZ cord-134344-sxno0tfd 47 9 in in IN cord-134344-sxno0tfd 47 10 the the DT cord-134344-sxno0tfd 47 11 other other JJ cord-134344-sxno0tfd 47 12 equations equation NNS cord-134344-sxno0tfd 47 13 as as IN cord-134344-sxno0tfd 47 14 a a DT cord-134344-sxno0tfd 47 15 part part NN cord-134344-sxno0tfd 47 16 of of IN cord-134344-sxno0tfd 47 17 N N NNP cord-134344-sxno0tfd 47 18 i i NN cord-134344-sxno0tfd 47 19 ( ( -LRB- cord-134344-sxno0tfd 47 20 t t NN cord-134344-sxno0tfd 47 21 ) ) -RRB- cord-134344-sxno0tfd 47 22 , , , cord-134344-sxno0tfd 47 23 we -PRON- PRP cord-134344-sxno0tfd 47 24 substitute substitute VBP cord-134344-sxno0tfd 47 25 the the DT cord-134344-sxno0tfd 47 26 equations equation NNS cord-134344-sxno0tfd 47 27 for for IN cord-134344-sxno0tfd 47 28 R r NN cord-134344-sxno0tfd 47 29 i i NN cord-134344-sxno0tfd 47 30 i(t i(t NNP cord-134344-sxno0tfd 47 31 ) ) -RRB- cord-134344-sxno0tfd 47 32 by by IN cord-134344-sxno0tfd 47 33 N N NNP cord-134344-sxno0tfd 47 34 i i NNP cord-134344-sxno0tfd 47 35 ( ( -LRB- cord-134344-sxno0tfd 47 36 t t NN cord-134344-sxno0tfd 47 37 ) ) -RRB- cord-134344-sxno0tfd 47 38 .. .. . cord-134344-sxno0tfd 48 1 Hence hence RB cord-134344-sxno0tfd 48 2 , , , cord-134344-sxno0tfd 48 3 we -PRON- PRP cord-134344-sxno0tfd 48 4 may may MD cord-134344-sxno0tfd 48 5 also also RB cord-134344-sxno0tfd 48 6 consider consider VB cord-134344-sxno0tfd 48 7 the the DT cord-134344-sxno0tfd 48 8 system system NN cord-134344-sxno0tfd 48 9 of of IN cord-134344-sxno0tfd 48 10 ( ( -LRB- cord-134344-sxno0tfd 48 11 2.4 2.4 CD cord-134344-sxno0tfd 48 12 ) ) -RRB- cord-134344-sxno0tfd 49 1 Parameter parameter NN cord-134344-sxno0tfd 49 2 values value NNS cord-134344-sxno0tfd 49 3 are be VBP cord-134344-sxno0tfd 49 4 taken take VBN cord-134344-sxno0tfd 49 5 from from IN cord-134344-sxno0tfd 49 6 [ [ -LRB- cord-134344-sxno0tfd 49 7 2 2 CD cord-134344-sxno0tfd 49 8 ] ] -RRB- cord-134344-sxno0tfd 49 9 and and CC cord-134344-sxno0tfd 49 10 are be VBP cord-134344-sxno0tfd 49 11 listed list VBN cord-134344-sxno0tfd 49 12 in in IN cord-134344-sxno0tfd 49 13 Table Table NNP cord-134344-sxno0tfd 49 14 2 2 CD cord-134344-sxno0tfd 49 15 . . . cord-134344-sxno0tfd 50 1 The the DT cord-134344-sxno0tfd 50 2 data datum NNS cord-134344-sxno0tfd 50 3 fitting fitting NN cord-134344-sxno0tfd 50 4 was be VBD cord-134344-sxno0tfd 50 5 performed perform VBN cord-134344-sxno0tfd 50 6 using use VBG cord-134344-sxno0tfd 50 7 an an DT cord-134344-sxno0tfd 50 8 adaptation adaptation NN cord-134344-sxno0tfd 50 9 of of IN cord-134344-sxno0tfd 50 10 a a DT cord-134344-sxno0tfd 50 11 least least JJS cord-134344-sxno0tfd 50 12 - - HYPH cord-134344-sxno0tfd 50 13 squares square NNS cord-134344-sxno0tfd 50 14 algorithm algorithm NN cord-134344-sxno0tfd 50 15 from from IN cord-134344-sxno0tfd 50 16 [ [ -LRB- cord-134344-sxno0tfd 50 17 17 17 CD cord-134344-sxno0tfd 50 18 ] ] -RRB- cord-134344-sxno0tfd 50 19 . . . cord-134344-sxno0tfd 51 1 To to TO cord-134344-sxno0tfd 51 2 see see VB cord-134344-sxno0tfd 51 3 how how WRB cord-134344-sxno0tfd 51 4 the the DT cord-134344-sxno0tfd 51 5 numbers number NNS cord-134344-sxno0tfd 51 6 of of IN cord-134344-sxno0tfd 51 7 infections infection NNS cord-134344-sxno0tfd 51 8 and and CC cord-134344-sxno0tfd 51 9 recoveries recovery NNS cord-134344-sxno0tfd 51 10 are be VBP cord-134344-sxno0tfd 51 11 distributed distribute VBN cord-134344-sxno0tfd 51 12 in in IN cord-134344-sxno0tfd 51 13 the the DT cord-134344-sxno0tfd 51 14 three three CD cord-134344-sxno0tfd 51 15 age age NN cord-134344-sxno0tfd 51 16 groups group NNS cord-134344-sxno0tfd 51 17 , , , cord-134344-sxno0tfd 51 18 we -PRON- PRP cord-134344-sxno0tfd 51 19 refer refer VBP cord-134344-sxno0tfd 51 20 to to IN cord-134344-sxno0tfd 51 21 the the DT cord-134344-sxno0tfd 51 22 data datum NNS cord-134344-sxno0tfd 51 23 available available JJ cord-134344-sxno0tfd 51 24 in in IN cord-134344-sxno0tfd 51 25 [ [ -LRB- cord-134344-sxno0tfd 51 26 3 3 CD cord-134344-sxno0tfd 51 27 ] ] -RRB- cord-134344-sxno0tfd 51 28 , , , cord-134344-sxno0tfd 51 29 shown show VBN cord-134344-sxno0tfd 51 30 in in IN cord-134344-sxno0tfd 51 31 Table Table NNP cord-134344-sxno0tfd 51 32 3 3 CD cord-134344-sxno0tfd 51 33 . . . cord-134344-sxno0tfd 52 1 For for IN cord-134344-sxno0tfd 52 2 simplification simplification NN cord-134344-sxno0tfd 52 3 , , , cord-134344-sxno0tfd 52 4 we -PRON- PRP cord-134344-sxno0tfd 52 5 suppose suppose VBP cord-134344-sxno0tfd 52 6 that that IN cord-134344-sxno0tfd 52 7 the the DT cord-134344-sxno0tfd 52 8 difference difference NN cord-134344-sxno0tfd 52 9 between between IN cord-134344-sxno0tfd 52 10 the the DT cord-134344-sxno0tfd 52 11 number number NN cord-134344-sxno0tfd 52 12 of of IN cord-134344-sxno0tfd 52 13 cases case NNS cord-134344-sxno0tfd 52 14 and and CC cord-134344-sxno0tfd 52 15 the the DT cord-134344-sxno0tfd 52 16 number number NN cord-134344-sxno0tfd 52 17 of of IN cord-134344-sxno0tfd 52 18 deaths death NNS cord-134344-sxno0tfd 52 19 represents represent VBZ cord-134344-sxno0tfd 52 20 the the DT cord-134344-sxno0tfd 52 21 number number NN cord-134344-sxno0tfd 52 22 of of IN cord-134344-sxno0tfd 52 23 Table table NN cord-134344-sxno0tfd 52 24 2 2 CD cord-134344-sxno0tfd 52 25 . . . cord-134344-sxno0tfd 53 1 Parameter parameter NN cord-134344-sxno0tfd 53 2 values value NNS cord-134344-sxno0tfd 53 3 ( ( -LRB- cord-134344-sxno0tfd 53 4 data datum NNS cord-134344-sxno0tfd 53 5 from from IN cord-134344-sxno0tfd 53 6 [ [ -LRB- cord-134344-sxno0tfd 53 7 2 2 CD cord-134344-sxno0tfd 53 8 ] ] -RRB- cord-134344-sxno0tfd 53 9 ) ) -RRB- cord-134344-sxno0tfd 53 10 . . . cord-134344-sxno0tfd 54 1 Parameter Parameter NNP cord-134344-sxno0tfd 54 2 Value Value NNP cord-134344-sxno0tfd 54 3 Parameter Parameter NNP cord-134344-sxno0tfd 54 4 Value Value NNP cord-134344-sxno0tfd 54 5 β β NNP cord-134344-sxno0tfd 54 6 11 11 CD cord-134344-sxno0tfd 54 7 1.76168 1.76168 CD cord-134344-sxno0tfd 54 8 σ σ NN cord-134344-sxno0tfd 54 9 1 1 CD cord-134344-sxno0tfd 54 10 0.27300 0.27300 CD cord-134344-sxno0tfd 54 11 recoveries recovery NNS cord-134344-sxno0tfd 54 12 . . . cord-134344-sxno0tfd 55 1 This this DT cord-134344-sxno0tfd 55 2 is be VBZ cord-134344-sxno0tfd 55 3 not not RB cord-134344-sxno0tfd 55 4 necessarily necessarily RB cord-134344-sxno0tfd 55 5 correct correct JJ cord-134344-sxno0tfd 55 6 , , , cord-134344-sxno0tfd 55 7 because because IN cord-134344-sxno0tfd 55 8 some some DT cord-134344-sxno0tfd 55 9 of of IN cord-134344-sxno0tfd 55 10 the the DT cord-134344-sxno0tfd 55 11 patients patient NNS cord-134344-sxno0tfd 55 12 that that IN cord-134344-sxno0tfd 55 13 we -PRON- PRP cord-134344-sxno0tfd 55 14 considered consider VBD cord-134344-sxno0tfd 55 15 as as IN cord-134344-sxno0tfd 55 16 recovered recover VBN cord-134344-sxno0tfd 55 17 might may MD cord-134344-sxno0tfd 55 18 still still RB cord-134344-sxno0tfd 55 19 carry carry VB cord-134344-sxno0tfd 55 20 the the DT cord-134344-sxno0tfd 55 21 disease disease NN cord-134344-sxno0tfd 55 22 , , , cord-134344-sxno0tfd 55 23 but but CC cord-134344-sxno0tfd 55 24 we -PRON- PRP cord-134344-sxno0tfd 55 25 use use VBP cord-134344-sxno0tfd 55 26 this this DT cord-134344-sxno0tfd 55 27 approach approach NN cord-134344-sxno0tfd 55 28 due due IN cord-134344-sxno0tfd 55 29 to to IN cord-134344-sxno0tfd 55 30 the the DT cord-134344-sxno0tfd 55 31 scarcity scarcity NN cord-134344-sxno0tfd 55 32 of of IN cord-134344-sxno0tfd 55 33 information information NN cord-134344-sxno0tfd 55 34 regarding regard VBG cord-134344-sxno0tfd 55 35 recoveries recovery NNS cord-134344-sxno0tfd 55 36 we -PRON- PRP cord-134344-sxno0tfd 55 37 currently currently RB cord-134344-sxno0tfd 55 38 have have VBP cord-134344-sxno0tfd 55 39 . . . cord-134344-sxno0tfd 56 1 The the DT cord-134344-sxno0tfd 56 2 respective respective JJ cord-134344-sxno0tfd 56 3 distributions distribution NNS cord-134344-sxno0tfd 56 4 are be VBP cord-134344-sxno0tfd 56 5 shown show VBN cord-134344-sxno0tfd 56 6 in in IN cord-134344-sxno0tfd 56 7 Table Table NNP cord-134344-sxno0tfd 56 8 4 4 CD cord-134344-sxno0tfd 56 9 . . . cord-134344-sxno0tfd 57 1 According accord VBG cord-134344-sxno0tfd 57 2 to to IN cord-134344-sxno0tfd 57 3 [ [ -LRB- cord-134344-sxno0tfd 57 4 26 26 CD cord-134344-sxno0tfd 57 5 ] ] -RRB- cord-134344-sxno0tfd 57 6 , , , cord-134344-sxno0tfd 57 7 Brazil Brazil NNP cord-134344-sxno0tfd 57 8 had have VBD cord-134344-sxno0tfd 57 9 as as IN cord-134344-sxno0tfd 57 10 of of IN cord-134344-sxno0tfd 57 11 May May NNP cord-134344-sxno0tfd 57 12 13 13 CD cord-134344-sxno0tfd 57 13 , , , cord-134344-sxno0tfd 57 14 2020 2020 CD cord-134344-sxno0tfd 57 15 a a DT cord-134344-sxno0tfd 57 16 total total NN cord-134344-sxno0tfd 57 17 of of IN cord-134344-sxno0tfd 57 18 97,575 97,575 CD cord-134344-sxno0tfd 57 19 active active JJ cord-134344-sxno0tfd 57 20 COVID-19 COVID-19 NNP cord-134344-sxno0tfd 57 21 cases case NNS cord-134344-sxno0tfd 57 22 . . . cord-134344-sxno0tfd 58 1 Even even RB cord-134344-sxno0tfd 58 2 though though IN cord-134344-sxno0tfd 58 3 there there EX cord-134344-sxno0tfd 58 4 seems seem VBZ cord-134344-sxno0tfd 58 5 to to TO cord-134344-sxno0tfd 58 6 be be VB cord-134344-sxno0tfd 58 7 a a DT cord-134344-sxno0tfd 58 8 large large JJ cord-134344-sxno0tfd 58 9 subnotification subnotification NN cord-134344-sxno0tfd 58 10 in in IN cord-134344-sxno0tfd 58 11 the the DT cord-134344-sxno0tfd 58 12 country country NN cord-134344-sxno0tfd 58 13 [ [ -LRB- cord-134344-sxno0tfd 58 14 20 20 CD cord-134344-sxno0tfd 58 15 ] ] -RRB- cord-134344-sxno0tfd 58 16 , , , cord-134344-sxno0tfd 58 17 this this DT cord-134344-sxno0tfd 58 18 number number NN cord-134344-sxno0tfd 58 19 will will MD cord-134344-sxno0tfd 58 20 be be VB cord-134344-sxno0tfd 58 21 considered consider VBN cord-134344-sxno0tfd 58 22 as as IN cord-134344-sxno0tfd 58 23 the the DT cord-134344-sxno0tfd 58 24 total total JJ cord-134344-sxno0tfd 58 25 number number NN cord-134344-sxno0tfd 58 26 of of IN cord-134344-sxno0tfd 58 27 infected infected JJ cord-134344-sxno0tfd 58 28 individuals individual NNS cord-134344-sxno0tfd 58 29 nonetheless nonetheless RB cord-134344-sxno0tfd 58 30 . . . cord-134344-sxno0tfd 59 1 To to TO cord-134344-sxno0tfd 59 2 estimate estimate VB cord-134344-sxno0tfd 59 3 the the DT cord-134344-sxno0tfd 59 4 number number NN cord-134344-sxno0tfd 59 5 of of IN cord-134344-sxno0tfd 59 6 exposed expose VBN cord-134344-sxno0tfd 59 7 cases case NNS cord-134344-sxno0tfd 59 8 , , , cord-134344-sxno0tfd 59 9 we -PRON- PRP cord-134344-sxno0tfd 59 10 look look VBP cord-134344-sxno0tfd 59 11 at at IN cord-134344-sxno0tfd 59 12 data datum NNS cord-134344-sxno0tfd 59 13 from from IN cord-134344-sxno0tfd 59 14 May May NNP cord-134344-sxno0tfd 59 15 8 8 CD cord-134344-sxno0tfd 59 16 , , , cord-134344-sxno0tfd 59 17 2020 2020 CD cord-134344-sxno0tfd 59 18 , , , cord-134344-sxno0tfd 59 19 since since IN cord-134344-sxno0tfd 59 20 the the DT cord-134344-sxno0tfd 59 21 mean mean JJ cord-134344-sxno0tfd 59 22 incubation incubation NN cord-134344-sxno0tfd 59 23 period period NN cord-134344-sxno0tfd 59 24 of of IN cord-134344-sxno0tfd 59 25 the the DT cord-134344-sxno0tfd 59 26 disease disease NN cord-134344-sxno0tfd 59 27 is be VBZ cord-134344-sxno0tfd 59 28 thought think VBN cord-134344-sxno0tfd 59 29 to to TO cord-134344-sxno0tfd 59 30 be be VB cord-134344-sxno0tfd 59 31 around around RB cord-134344-sxno0tfd 59 32 5 5 CD cord-134344-sxno0tfd 59 33 days day NNS cord-134344-sxno0tfd 59 34 [ [ -LRB- cord-134344-sxno0tfd 59 35 14 14 CD cord-134344-sxno0tfd 59 36 ] ] -RRB- cord-134344-sxno0tfd 59 37 . . . cord-134344-sxno0tfd 60 1 Once once RB cord-134344-sxno0tfd 60 2 again again RB cord-134344-sxno0tfd 60 3 according accord VBG cord-134344-sxno0tfd 60 4 to to IN cord-134344-sxno0tfd 60 5 [ [ -LRB- cord-134344-sxno0tfd 60 6 26 26 CD cord-134344-sxno0tfd 60 7 ] ] -RRB- cord-134344-sxno0tfd 60 8 , , , cord-134344-sxno0tfd 60 9 at at IN cord-134344-sxno0tfd 60 10 this this DT cord-134344-sxno0tfd 60 11 time time NN cord-134344-sxno0tfd 60 12 Brazil Brazil NNP cord-134344-sxno0tfd 60 13 had have VBD cord-134344-sxno0tfd 60 14 76,603 76,603 CD cord-134344-sxno0tfd 60 15 active active JJ cord-134344-sxno0tfd 60 16 cases case NNS cord-134344-sxno0tfd 60 17 , , , cord-134344-sxno0tfd 60 18 so so CC cord-134344-sxno0tfd 60 19 this this DT cord-134344-sxno0tfd 60 20 gives give VBZ cord-134344-sxno0tfd 60 21 us -PRON- PRP cord-134344-sxno0tfd 60 22 an an DT cord-134344-sxno0tfd 60 23 estimation estimation NN cord-134344-sxno0tfd 60 24 of of IN cord-134344-sxno0tfd 60 25 20,972 20,972 CD cord-134344-sxno0tfd 60 26 exposed expose VBN cord-134344-sxno0tfd 60 27 cases case NNS cord-134344-sxno0tfd 60 28 . . . cord-134344-sxno0tfd 61 1 We -PRON- PRP cord-134344-sxno0tfd 61 2 also also RB cord-134344-sxno0tfd 61 3 suppose suppose VBP cord-134344-sxno0tfd 61 4 that that IN cord-134344-sxno0tfd 61 5 these these DT cord-134344-sxno0tfd 61 6 cases case NNS cord-134344-sxno0tfd 61 7 follow follow VBP cord-134344-sxno0tfd 61 8 the the DT cord-134344-sxno0tfd 61 9 age age NN cord-134344-sxno0tfd 61 10 distributions distribution NNS cord-134344-sxno0tfd 61 11 of of IN cord-134344-sxno0tfd 61 12 cases case NNS cord-134344-sxno0tfd 61 13 from from IN cord-134344-sxno0tfd 61 14 Table Table NNP cord-134344-sxno0tfd 61 15 4 4 CD cord-134344-sxno0tfd 61 16 . . . cord-134344-sxno0tfd 62 1 Finally finally RB cord-134344-sxno0tfd 62 2 , , , cord-134344-sxno0tfd 62 3 as as IN cord-134344-sxno0tfd 62 4 of of IN cord-134344-sxno0tfd 62 5 May May NNP cord-134344-sxno0tfd 62 6 8 8 CD cord-134344-sxno0tfd 62 7 , , , cord-134344-sxno0tfd 62 8 there there EX cord-134344-sxno0tfd 62 9 were be VBD cord-134344-sxno0tfd 62 10 65,124 65,124 CD cord-134344-sxno0tfd 62 11 recovered recover VBN cord-134344-sxno0tfd 62 12 cases case NNS cord-134344-sxno0tfd 62 13 in in IN cord-134344-sxno0tfd 62 14 Brazil Brazil NNP cord-134344-sxno0tfd 62 15 [ [ -LRB- cord-134344-sxno0tfd 62 16 26 26 CD cord-134344-sxno0tfd 62 17 ] ] -RRB- cord-134344-sxno0tfd 62 18 . . . cord-134344-sxno0tfd 63 1 Therefore therefore RB cord-134344-sxno0tfd 63 2 , , , cord-134344-sxno0tfd 63 3 our -PRON- PRP$ cord-134344-sxno0tfd 63 4 initial initial JJ cord-134344-sxno0tfd 63 5 time time NN cord-134344-sxno0tfd 63 6 will will MD cord-134344-sxno0tfd 63 7 consist consist VB cord-134344-sxno0tfd 63 8 of of IN cord-134344-sxno0tfd 63 9 data datum NNS cord-134344-sxno0tfd 63 10 from from IN cord-134344-sxno0tfd 63 11 Brazil Brazil NNP cord-134344-sxno0tfd 63 12 as as IN cord-134344-sxno0tfd 63 13 of of IN cord-134344-sxno0tfd 63 14 May May NNP cord-134344-sxno0tfd 63 15 8 8 CD cord-134344-sxno0tfd 63 16 , , , cord-134344-sxno0tfd 63 17 2020 2020 CD cord-134344-sxno0tfd 63 18 . . . cord-134344-sxno0tfd 64 1 The the DT cord-134344-sxno0tfd 64 2 total total JJ cord-134344-sxno0tfd 64 3 population population NN cord-134344-sxno0tfd 64 4 is be VBZ cord-134344-sxno0tfd 64 5 assumed assume VBN cord-134344-sxno0tfd 64 6 to to TO cord-134344-sxno0tfd 64 7 be be VB cord-134344-sxno0tfd 64 8 200 200 CD cord-134344-sxno0tfd 64 9 million million CD cord-134344-sxno0tfd 64 10 , , , cord-134344-sxno0tfd 64 11 divided divide VBN cord-134344-sxno0tfd 64 12 into into IN cord-134344-sxno0tfd 64 13 40 40 CD cord-134344-sxno0tfd 64 14 % % NN cord-134344-sxno0tfd 64 15 young young JJ cord-134344-sxno0tfd 64 16 people people NNS cord-134344-sxno0tfd 64 17 , , , cord-134344-sxno0tfd 64 18 50 50 CD cord-134344-sxno0tfd 64 19 % % NN cord-134344-sxno0tfd 64 20 adults adult NNS cord-134344-sxno0tfd 64 21 and and CC cord-134344-sxno0tfd 64 22 10 10 CD cord-134344-sxno0tfd 64 23 % % NN cord-134344-sxno0tfd 64 24 elderly elderly JJ cord-134344-sxno0tfd 64 25 . . . cord-134344-sxno0tfd 65 1 We -PRON- PRP cord-134344-sxno0tfd 65 2 also also RB cord-134344-sxno0tfd 65 3 assume assume VBP cord-134344-sxno0tfd 65 4 that that IN cord-134344-sxno0tfd 65 5 there there EX cord-134344-sxno0tfd 65 6 are be VBP cord-134344-sxno0tfd 65 7 no no RB cord-134344-sxno0tfd 65 8 quarantined quarantine VBN cord-134344-sxno0tfd 65 9 individuals individual NNS cord-134344-sxno0tfd 65 10 when when WRB cord-134344-sxno0tfd 65 11 the the DT cord-134344-sxno0tfd 65 12 simulation simulation NN cord-134344-sxno0tfd 65 13 starts start VBZ cord-134344-sxno0tfd 65 14 . . . cord-134344-sxno0tfd 66 1 Since since IN cord-134344-sxno0tfd 66 2 the the DT cord-134344-sxno0tfd 66 3 numbers number NNS cord-134344-sxno0tfd 66 4 of of IN cord-134344-sxno0tfd 66 5 exposed expose VBN cord-134344-sxno0tfd 66 6 , , , cord-134344-sxno0tfd 66 7 infected infect VBN cord-134344-sxno0tfd 66 8 and and CC cord-134344-sxno0tfd 66 9 recovered recover VBN cord-134344-sxno0tfd 66 10 are be VBP cord-134344-sxno0tfd 66 11 very very RB cord-134344-sxno0tfd 66 12 small small JJ cord-134344-sxno0tfd 66 13 in in IN cord-134344-sxno0tfd 66 14 comparison comparison NN cord-134344-sxno0tfd 66 15 to to IN cord-134344-sxno0tfd 66 16 the the DT cord-134344-sxno0tfd 66 17 total total JJ cord-134344-sxno0tfd 66 18 population population NN cord-134344-sxno0tfd 66 19 , , , cord-134344-sxno0tfd 66 20 we -PRON- PRP cord-134344-sxno0tfd 66 21 assume assume VBP cord-134344-sxno0tfd 66 22 that that IN cord-134344-sxno0tfd 66 23 the the DT cord-134344-sxno0tfd 66 24 initial initial JJ cord-134344-sxno0tfd 66 25 number number NN cord-134344-sxno0tfd 66 26 of of IN cord-134344-sxno0tfd 66 27 susceptible susceptible JJ cord-134344-sxno0tfd 66 28 individuals individual NNS cord-134344-sxno0tfd 66 29 is be VBZ cord-134344-sxno0tfd 66 30 equal equal JJ cord-134344-sxno0tfd 66 31 to to IN cord-134344-sxno0tfd 66 32 the the DT cord-134344-sxno0tfd 66 33 total total JJ cord-134344-sxno0tfd 66 34 population population NN cord-134344-sxno0tfd 66 35 of of IN cord-134344-sxno0tfd 66 36 the the DT cord-134344-sxno0tfd 66 37 respective respective JJ cord-134344-sxno0tfd 66 38 age age NN cord-134344-sxno0tfd 66 39 group group NN cord-134344-sxno0tfd 66 40 . . . cord-134344-sxno0tfd 67 1 The the DT cord-134344-sxno0tfd 67 2 initial initial JJ cord-134344-sxno0tfd 67 3 conditions condition NNS cord-134344-sxno0tfd 67 4 of of IN cord-134344-sxno0tfd 67 5 all all DT cord-134344-sxno0tfd 67 6 variables variable NNS cord-134344-sxno0tfd 67 7 , , , cord-134344-sxno0tfd 67 8 rounded round VBN cord-134344-sxno0tfd 67 9 to to IN cord-134344-sxno0tfd 67 10 the the DT cord-134344-sxno0tfd 67 11 nearest near JJS cord-134344-sxno0tfd 67 12 integers integer NNS cord-134344-sxno0tfd 67 13 , , , cord-134344-sxno0tfd 67 14 are be VBP cord-134344-sxno0tfd 67 15 listed list VBN cord-134344-sxno0tfd 67 16 in in IN cord-134344-sxno0tfd 67 17 Table Table NNP cord-134344-sxno0tfd 67 18 5 5 CD cord-134344-sxno0tfd 67 19 . . . cord-134344-sxno0tfd 68 1 Using use VBG cord-134344-sxno0tfd 68 2 system system NN cord-134344-sxno0tfd 68 3 ( ( -LRB- cord-134344-sxno0tfd 68 4 2.4 2.4 CD cord-134344-sxno0tfd 68 5 ) ) -RRB- cord-134344-sxno0tfd 68 6 , , , cord-134344-sxno0tfd 68 7 we -PRON- PRP cord-134344-sxno0tfd 68 8 consider consider VBP cord-134344-sxno0tfd 68 9 the the DT cord-134344-sxno0tfd 68 10 functional functional JJ cord-134344-sxno0tfd 68 11 to to TO cord-134344-sxno0tfd 68 12 be be VB cord-134344-sxno0tfd 68 13 minimized minimize VBN cord-134344-sxno0tfd 68 14 as as IN cord-134344-sxno0tfd 68 15 Quarantined quarantine VBN cord-134344-sxno0tfd 68 16 0 0 CD cord-134344-sxno0tfd 68 17 0 0 CD cord-134344-sxno0tfd 68 18 0 0 CD cord-134344-sxno0tfd 69 1 In in IN cord-134344-sxno0tfd 69 2 the the DT cord-134344-sxno0tfd 69 3 formula formula NN cord-134344-sxno0tfd 69 4 above above RB cord-134344-sxno0tfd 69 5 , , , cord-134344-sxno0tfd 69 6 T T NNP cord-134344-sxno0tfd 69 7 is be VBZ cord-134344-sxno0tfd 69 8 the the DT cord-134344-sxno0tfd 69 9 quarantine quarantine NN cord-134344-sxno0tfd 69 10 duration duration NN cord-134344-sxno0tfd 69 11 and and CC cord-134344-sxno0tfd 69 12 the the DT cord-134344-sxno0tfd 69 13 parameters parameter NNS cord-134344-sxno0tfd 70 1 B b NN cord-134344-sxno0tfd 71 1 i i PRP cord-134344-sxno0tfd 71 2 are be VBP cord-134344-sxno0tfd 71 3 the the DT cord-134344-sxno0tfd 71 4 costs cost NNS cord-134344-sxno0tfd 71 5 of of IN cord-134344-sxno0tfd 71 6 the the DT cord-134344-sxno0tfd 71 7 control control NN cord-134344-sxno0tfd 71 8 . . . cord-134344-sxno0tfd 72 1 We -PRON- PRP cord-134344-sxno0tfd 72 2 assume assume VBP cord-134344-sxno0tfd 72 3 that that IN cord-134344-sxno0tfd 72 4 B b NN cord-134344-sxno0tfd 72 5 i i PRP cord-134344-sxno0tfd 72 6 > > XX cord-134344-sxno0tfd 72 7 0 0 NFP cord-134344-sxno0tfd 73 1 for for IN cord-134344-sxno0tfd 73 2 i i PRP cord-134344-sxno0tfd 73 3 ∈ ∈ VBP cord-134344-sxno0tfd 73 4 { { -LRB- cord-134344-sxno0tfd 73 5 1 1 CD cord-134344-sxno0tfd 73 6 , , , cord-134344-sxno0tfd 73 7 2 2 CD cord-134344-sxno0tfd 73 8 , , , cord-134344-sxno0tfd 73 9 3 3 CD cord-134344-sxno0tfd 73 10 } } -RRB- cord-134344-sxno0tfd 73 11 and and CC cord-134344-sxno0tfd 74 1 that that DT cord-134344-sxno0tfd 74 2 where where WRB cord-134344-sxno0tfd 74 3 B b NN cord-134344-sxno0tfd 74 4 ∈ ∈ NN cord-134344-sxno0tfd 74 5 R r NN cord-134344-sxno0tfd 74 6 is be VBZ cord-134344-sxno0tfd 74 7 the the DT cord-134344-sxno0tfd 74 8 total total JJ cord-134344-sxno0tfd 74 9 control control NN cord-134344-sxno0tfd 74 10 cost cost NN cord-134344-sxno0tfd 74 11 . . . cord-134344-sxno0tfd 75 1 Sufficient sufficient JJ cord-134344-sxno0tfd 75 2 conditions condition NNS cord-134344-sxno0tfd 75 3 for for IN cord-134344-sxno0tfd 75 4 the the DT cord-134344-sxno0tfd 75 5 existence existence NN cord-134344-sxno0tfd 75 6 of of IN cord-134344-sxno0tfd 75 7 the the DT cord-134344-sxno0tfd 75 8 optimal optimal JJ cord-134344-sxno0tfd 75 9 controls control NNS cord-134344-sxno0tfd 75 10 follow follow VBP cord-134344-sxno0tfd 75 11 from from IN cord-134344-sxno0tfd 75 12 standard standard JJ cord-134344-sxno0tfd 75 13 results result NNS cord-134344-sxno0tfd 75 14 from from IN cord-134344-sxno0tfd 75 15 optimal optimal JJ cord-134344-sxno0tfd 75 16 control control NN cord-134344-sxno0tfd 75 17 theory theory NN cord-134344-sxno0tfd 75 18 . . . cord-134344-sxno0tfd 76 1 For for IN cord-134344-sxno0tfd 76 2 instance instance NN cord-134344-sxno0tfd 76 3 , , , cord-134344-sxno0tfd 76 4 we -PRON- PRP cord-134344-sxno0tfd 76 5 can can MD cord-134344-sxno0tfd 76 6 use use VB cord-134344-sxno0tfd 76 7 Theorem Theorem NNP cord-134344-sxno0tfd 76 8 2.1 2.1 CD cord-134344-sxno0tfd 76 9 in in IN cord-134344-sxno0tfd 76 10 [ [ -LRB- cord-134344-sxno0tfd 76 11 11 11 CD cord-134344-sxno0tfd 76 12 ] ] -RRB- cord-134344-sxno0tfd 76 13 to to TO cord-134344-sxno0tfd 76 14 show show VB cord-134344-sxno0tfd 76 15 that that IN cord-134344-sxno0tfd 76 16 the the DT cord-134344-sxno0tfd 76 17 optimal optimal JJ cord-134344-sxno0tfd 76 18 control control NN cord-134344-sxno0tfd 76 19 exists exist VBZ cord-134344-sxno0tfd 76 20 . . . cord-134344-sxno0tfd 77 1 Pontryagin Pontryagin NNP cord-134344-sxno0tfd 77 2 's 's POS cord-134344-sxno0tfd 77 3 maximum maximum JJ cord-134344-sxno0tfd 77 4 principle principle NN cord-134344-sxno0tfd 77 5 ( ( -LRB- cord-134344-sxno0tfd 77 6 [ [ -LRB- cord-134344-sxno0tfd 77 7 19 19 CD cord-134344-sxno0tfd 77 8 ] ] -RRB- cord-134344-sxno0tfd 77 9 , , , cord-134344-sxno0tfd 77 10 [ [ -LRB- cord-134344-sxno0tfd 77 11 16 16 CD cord-134344-sxno0tfd 77 12 ] ] -RRB- cord-134344-sxno0tfd 77 13 ) ) -RRB- cord-134344-sxno0tfd 77 14 establish establish VBP cord-134344-sxno0tfd 77 15 that that DT cord-134344-sxno0tfd 77 16 optimal optimal JJ cord-134344-sxno0tfd 77 17 controls control NNS cord-134344-sxno0tfd 77 18 are be VBP cord-134344-sxno0tfd 77 19 solutions solution NNS cord-134344-sxno0tfd 77 20 of of IN cord-134344-sxno0tfd 77 21 the the DT cord-134344-sxno0tfd 77 22 Hamiltonian hamiltonian JJ cord-134344-sxno0tfd 77 23 system system NN cord-134344-sxno0tfd 77 24 with with IN cord-134344-sxno0tfd 77 25 Hamiltonian hamiltonian JJ cord-134344-sxno0tfd 77 26 function function NN cord-134344-sxno0tfd 77 27 where where WRB cord-134344-sxno0tfd 77 28 λ λ NNP cord-134344-sxno0tfd 77 29 S S NNP cord-134344-sxno0tfd 77 30 i i NN cord-134344-sxno0tfd 77 31 , , , cord-134344-sxno0tfd 77 32 λ λ NN cord-134344-sxno0tfd 77 33 E e NN cord-134344-sxno0tfd 77 34 i i NN cord-134344-sxno0tfd 77 35 , , , cord-134344-sxno0tfd 77 36 λ λ NN cord-134344-sxno0tfd 77 37 I i NN cord-134344-sxno0tfd 77 38 i i PRP cord-134344-sxno0tfd 77 39 , , , cord-134344-sxno0tfd 77 40 λ λ NNP cord-134344-sxno0tfd 77 41 Q Q NNP cord-134344-sxno0tfd 77 42 i i PRP cord-134344-sxno0tfd 77 43 and and CC cord-134344-sxno0tfd 77 44 λ λ NNP cord-134344-sxno0tfd 77 45 N n NN cord-134344-sxno0tfd 77 46 i i PRP cord-134344-sxno0tfd 77 47 are be VBP cord-134344-sxno0tfd 77 48 the the DT cord-134344-sxno0tfd 77 49 adjoint adjoint NN cord-134344-sxno0tfd 77 50 variables variable NNS cord-134344-sxno0tfd 77 51 . . . cord-134344-sxno0tfd 78 1 These these DT cord-134344-sxno0tfd 78 2 variables variable NNS cord-134344-sxno0tfd 78 3 must must MD cord-134344-sxno0tfd 78 4 satisfy satisfy VB cord-134344-sxno0tfd 78 5 the the DT cord-134344-sxno0tfd 78 6 adjoint adjoint JJ cord-134344-sxno0tfd 78 7 equations equation NNS cord-134344-sxno0tfd 78 8 where where WRB cord-134344-sxno0tfd 78 9 i i PRP cord-134344-sxno0tfd 78 10 ∈ ∈ VBP cord-134344-sxno0tfd 78 11 { { -LRB- cord-134344-sxno0tfd 78 12 1 1 CD cord-134344-sxno0tfd 78 13 , , , cord-134344-sxno0tfd 78 14 2 2 CD cord-134344-sxno0tfd 78 15 , , , cord-134344-sxno0tfd 78 16 3 3 CD cord-134344-sxno0tfd 78 17 } } -RRB- cord-134344-sxno0tfd 78 18 and and CC cord-134344-sxno0tfd 78 19 C c NN cord-134344-sxno0tfd 78 20 ∈ ∈ NN cord-134344-sxno0tfd 78 21 { { -LRB- cord-134344-sxno0tfd 78 22 S s NN cord-134344-sxno0tfd 78 23 , , , cord-134344-sxno0tfd 78 24 E E NNP cord-134344-sxno0tfd 78 25 , , , cord-134344-sxno0tfd 78 26 I -PRON- PRP cord-134344-sxno0tfd 78 27 , , , cord-134344-sxno0tfd 78 28 Q Q NNP cord-134344-sxno0tfd 78 29 , , , cord-134344-sxno0tfd 78 30 N N NNP cord-134344-sxno0tfd 78 31 } } -RRB- cord-134344-sxno0tfd 78 32 . . . cord-134344-sxno0tfd 79 1 The the DT cord-134344-sxno0tfd 79 2 adjoint adjoint NN cord-134344-sxno0tfd 79 3 system system NN cord-134344-sxno0tfd 79 4 is be VBZ cord-134344-sxno0tfd 79 5 detailed detail VBN cord-134344-sxno0tfd 79 6 in in IN cord-134344-sxno0tfd 79 7 ( ( -LRB- cord-134344-sxno0tfd 79 8 3.5 3.5 CD cord-134344-sxno0tfd 79 9 ) ) -RRB- cord-134344-sxno0tfd 79 10 below below RB cord-134344-sxno0tfd 79 11 . . . cord-134344-sxno0tfd 80 1 ( ( -LRB- cord-134344-sxno0tfd 80 2 3.5 3.5 CD cord-134344-sxno0tfd 80 3 ) ) -RRB- cord-134344-sxno0tfd 81 1 The the DT cord-134344-sxno0tfd 81 2 adjoint adjoint JJ cord-134344-sxno0tfd 81 3 variables variable NNS cord-134344-sxno0tfd 81 4 also also RB cord-134344-sxno0tfd 81 5 must must MD cord-134344-sxno0tfd 81 6 satisfy satisfy VB cord-134344-sxno0tfd 81 7 the the DT cord-134344-sxno0tfd 81 8 transversality transversality NN cord-134344-sxno0tfd 81 9 conditions condition NNS cord-134344-sxno0tfd 81 10 Finally finally RB cord-134344-sxno0tfd 81 11 , , , cord-134344-sxno0tfd 81 12 the the DT cord-134344-sxno0tfd 81 13 optimality optimality NN cord-134344-sxno0tfd 81 14 conditions condition NNS cord-134344-sxno0tfd 81 15 come come VBP cord-134344-sxno0tfd 81 16 from from IN cord-134344-sxno0tfd 81 17 solving solve VBG cord-134344-sxno0tfd 81 18 This this DT cord-134344-sxno0tfd 81 19 results result NNS cord-134344-sxno0tfd 81 20 in in IN cord-134344-sxno0tfd 81 21 Since since IN cord-134344-sxno0tfd 81 22 we -PRON- PRP cord-134344-sxno0tfd 81 23 are be VBP cord-134344-sxno0tfd 81 24 considering consider VBG cord-134344-sxno0tfd 81 25 bounded bound VBN cord-134344-sxno0tfd 81 26 controls control NNS cord-134344-sxno0tfd 81 27 ( ( -LRB- cord-134344-sxno0tfd 81 28 because because IN cord-134344-sxno0tfd 81 29 of of IN cord-134344-sxno0tfd 81 30 ( ( -LRB- cord-134344-sxno0tfd 81 31 2.3 2.3 CD cord-134344-sxno0tfd 81 32 ) ) -RRB- cord-134344-sxno0tfd 81 33 ) ) -RRB- cord-134344-sxno0tfd 81 34 , , , cord-134344-sxno0tfd 81 35 the the DT cord-134344-sxno0tfd 81 36 u u NNP cord-134344-sxno0tfd 81 37 * * NFP cord-134344-sxno0tfd 81 38 i i PRP cord-134344-sxno0tfd 81 39 are be VBP cord-134344-sxno0tfd 81 40 calculated calculate VBN cord-134344-sxno0tfd 81 41 using use VBG cord-134344-sxno0tfd 81 42 where where WRB cord-134344-sxno0tfd 81 43 u u NNP cord-134344-sxno0tfd 81 44 1 1 CD cord-134344-sxno0tfd 81 45 max max NN cord-134344-sxno0tfd 81 46 = = NN cord-134344-sxno0tfd 82 1 u u NNP cord-134344-sxno0tfd 82 2 3 3 CD cord-134344-sxno0tfd 82 3 max max NN cord-134344-sxno0tfd 82 4 = = SYM cord-134344-sxno0tfd 82 5 1 1 CD cord-134344-sxno0tfd 82 6 and and CC cord-134344-sxno0tfd 82 7 u u NNP cord-134344-sxno0tfd 82 8 2 2 CD cord-134344-sxno0tfd 82 9 max max NN cord-134344-sxno0tfd 82 10 = = SYM cord-134344-sxno0tfd 82 11 0.9 0.9 CD cord-134344-sxno0tfd 82 12 . . . cord-134344-sxno0tfd 83 1 Uniqueness uniqueness NN cord-134344-sxno0tfd 83 2 of of IN cord-134344-sxno0tfd 83 3 the the DT cord-134344-sxno0tfd 83 4 optimal optimal JJ cord-134344-sxno0tfd 83 5 controls control NNS cord-134344-sxno0tfd 83 6 ( ( -LRB- cord-134344-sxno0tfd 83 7 at at IN cord-134344-sxno0tfd 83 8 least least JJS cord-134344-sxno0tfd 83 9 for for IN cord-134344-sxno0tfd 83 10 small small JJ cord-134344-sxno0tfd 83 11 enough enough JJ cord-134344-sxno0tfd 83 12 T t NN cord-134344-sxno0tfd 83 13 ) ) -RRB- cord-134344-sxno0tfd 83 14 also also RB cord-134344-sxno0tfd 83 15 follow follow VBP cord-134344-sxno0tfd 83 16 from from IN cord-134344-sxno0tfd 83 17 standard standard JJ cord-134344-sxno0tfd 83 18 results result NNS cord-134344-sxno0tfd 83 19 , , , cord-134344-sxno0tfd 83 20 such such JJ cord-134344-sxno0tfd 83 21 as as IN cord-134344-sxno0tfd 83 22 Theorem Theorem NNP cord-134344-sxno0tfd 83 23 2.3 2.3 CD cord-134344-sxno0tfd 83 24 in in IN cord-134344-sxno0tfd 83 25 [ [ -LRB- cord-134344-sxno0tfd 83 26 11 11 CD cord-134344-sxno0tfd 83 27 ] ] -RRB- cord-134344-sxno0tfd 83 28 . . . cord-134344-sxno0tfd 84 1 Numerical numerical JJ cord-134344-sxno0tfd 84 2 solutions solution NNS cord-134344-sxno0tfd 84 3 of of IN cord-134344-sxno0tfd 84 4 systems system NNS cord-134344-sxno0tfd 84 5 ( ( -LRB- cord-134344-sxno0tfd 84 6 2.4 2.4 CD cord-134344-sxno0tfd 84 7 ) ) -RRB- cord-134344-sxno0tfd 84 8 and and CC cord-134344-sxno0tfd 84 9 ( ( -LRB- cord-134344-sxno0tfd 84 10 3.5 3.5 CD cord-134344-sxno0tfd 84 11 ) ) -RRB- cord-134344-sxno0tfd 84 12 can can MD cord-134344-sxno0tfd 84 13 be be VB cord-134344-sxno0tfd 84 14 found find VBN cord-134344-sxno0tfd 84 15 by by IN cord-134344-sxno0tfd 84 16 a a DT cord-134344-sxno0tfd 84 17 forward forward RB cord-134344-sxno0tfd 84 18 - - HYPH cord-134344-sxno0tfd 84 19 backward backward JJ cord-134344-sxno0tfd 84 20 sweep sweep NN cord-134344-sxno0tfd 84 21 method method NN cord-134344-sxno0tfd 84 22 [ [ -LRB- cord-134344-sxno0tfd 84 23 16 16 CD cord-134344-sxno0tfd 84 24 ] ] -RRB- cord-134344-sxno0tfd 84 25 . . . cord-134344-sxno0tfd 85 1 The the DT cord-134344-sxno0tfd 85 2 algorithm algorithm NN cord-134344-sxno0tfd 85 3 starts start VBZ cord-134344-sxno0tfd 85 4 with with IN cord-134344-sxno0tfd 85 5 an an DT cord-134344-sxno0tfd 85 6 initial initial JJ cord-134344-sxno0tfd 85 7 guess guess NN cord-134344-sxno0tfd 85 8 of of IN cord-134344-sxno0tfd 85 9 the the DT cord-134344-sxno0tfd 85 10 controls control NNS cord-134344-sxno0tfd 86 1 u u NNP cord-134344-sxno0tfd 86 2 1 1 CD cord-134344-sxno0tfd 86 3 , , , cord-134344-sxno0tfd 86 4 u u NNP cord-134344-sxno0tfd 86 5 2 2 CD cord-134344-sxno0tfd 86 6 and and CC cord-134344-sxno0tfd 86 7 u u NNP cord-134344-sxno0tfd 86 8 3 3 CD cord-134344-sxno0tfd 87 1 and and CC cord-134344-sxno0tfd 87 2 then then RB cord-134344-sxno0tfd 87 3 solves solve VBZ cord-134344-sxno0tfd 87 4 ( ( -LRB- cord-134344-sxno0tfd 87 5 2.4 2.4 CD cord-134344-sxno0tfd 87 6 ) ) -RRB- cord-134344-sxno0tfd 87 7 forward forward RB cord-134344-sxno0tfd 87 8 in in IN cord-134344-sxno0tfd 87 9 time time NN cord-134344-sxno0tfd 87 10 . . . cord-134344-sxno0tfd 88 1 After after IN cord-134344-sxno0tfd 88 2 this this DT cord-134344-sxno0tfd 88 3 first first JJ cord-134344-sxno0tfd 88 4 part part NN cord-134344-sxno0tfd 88 5 , , , cord-134344-sxno0tfd 88 6 it -PRON- PRP cord-134344-sxno0tfd 88 7 uses use VBZ cord-134344-sxno0tfd 88 8 the the DT cord-134344-sxno0tfd 88 9 results result NNS cord-134344-sxno0tfd 88 10 and and CC cord-134344-sxno0tfd 88 11 the the DT cord-134344-sxno0tfd 88 12 initial initial JJ cord-134344-sxno0tfd 88 13 guesses guess NNS cord-134344-sxno0tfd 88 14 to to TO cord-134344-sxno0tfd 88 15 solve solve VB cord-134344-sxno0tfd 88 16 ( ( -LRB- cord-134344-sxno0tfd 88 17 3.5 3.5 CD cord-134344-sxno0tfd 88 18 ) ) -RRB- cord-134344-sxno0tfd 88 19 backward backward JJ cord-134344-sxno0tfd 88 20 in in IN cord-134344-sxno0tfd 88 21 time time NN cord-134344-sxno0tfd 88 22 and and CC cord-134344-sxno0tfd 88 23 new new JJ cord-134344-sxno0tfd 88 24 controls control NNS cord-134344-sxno0tfd 88 25 are be VBP cord-134344-sxno0tfd 88 26 defined define VBN cord-134344-sxno0tfd 88 27 following follow VBG cord-134344-sxno0tfd 88 28 ( ( -LRB- cord-134344-sxno0tfd 88 29 3.9 3.9 CD cord-134344-sxno0tfd 88 30 ) ) -RRB- cord-134344-sxno0tfd 88 31 . . . cord-134344-sxno0tfd 89 1 This this DT cord-134344-sxno0tfd 89 2 process process NN cord-134344-sxno0tfd 89 3 continues continue VBZ cord-134344-sxno0tfd 89 4 until until IN cord-134344-sxno0tfd 89 5 it -PRON- PRP cord-134344-sxno0tfd 89 6 converges converge VBZ cord-134344-sxno0tfd 89 7 . . . cord-134344-sxno0tfd 90 1 Quarantines quarantine NNS cord-134344-sxno0tfd 90 2 are be VBP cord-134344-sxno0tfd 90 3 not not RB cord-134344-sxno0tfd 90 4 just just RB cord-134344-sxno0tfd 90 5 a a DT cord-134344-sxno0tfd 90 6 matter matter NN cord-134344-sxno0tfd 90 7 of of IN cord-134344-sxno0tfd 90 8 public public JJ cord-134344-sxno0tfd 90 9 health health NN cord-134344-sxno0tfd 90 10 , , , cord-134344-sxno0tfd 90 11 for for IN cord-134344-sxno0tfd 90 12 they -PRON- PRP cord-134344-sxno0tfd 90 13 also also RB cord-134344-sxno0tfd 90 14 present present VBP cord-134344-sxno0tfd 90 15 economic economic JJ cord-134344-sxno0tfd 90 16 questions question NNS cord-134344-sxno0tfd 90 17 , , , cord-134344-sxno0tfd 90 18 for for IN cord-134344-sxno0tfd 90 19 example example NN cord-134344-sxno0tfd 90 20 . . . cord-134344-sxno0tfd 91 1 This this DT cord-134344-sxno0tfd 91 2 means mean VBZ cord-134344-sxno0tfd 91 3 that that IN cord-134344-sxno0tfd 91 4 we -PRON- PRP cord-134344-sxno0tfd 91 5 must must MD cord-134344-sxno0tfd 91 6 pay pay VB cord-134344-sxno0tfd 91 7 close close JJ cord-134344-sxno0tfd 91 8 attention attention NN cord-134344-sxno0tfd 91 9 to to IN cord-134344-sxno0tfd 91 10 the the DT cord-134344-sxno0tfd 91 11 control control NN cord-134344-sxno0tfd 91 12 costs cost NNS cord-134344-sxno0tfd 92 1 B B NNP cord-134344-sxno0tfd 92 2 i i PRP cord-134344-sxno0tfd 92 3 . . . cord-134344-sxno0tfd 93 1 These these DT cord-134344-sxno0tfd 93 2 numbers number NNS cord-134344-sxno0tfd 93 3 reflect reflect VBP cord-134344-sxno0tfd 93 4 how how WRB cord-134344-sxno0tfd 93 5 the the DT cord-134344-sxno0tfd 93 6 population population NN cord-134344-sxno0tfd 93 7 is be VBZ cord-134344-sxno0tfd 93 8 capable capable JJ cord-134344-sxno0tfd 93 9 of of IN cord-134344-sxno0tfd 93 10 dealing deal VBG cord-134344-sxno0tfd 93 11 with with IN cord-134344-sxno0tfd 93 12 the the DT cord-134344-sxno0tfd 93 13 quarantine quarantine NN cord-134344-sxno0tfd 93 14 of of IN cord-134344-sxno0tfd 93 15 the the DT cord-134344-sxno0tfd 93 16 respective respective JJ cord-134344-sxno0tfd 93 17 age age NN cord-134344-sxno0tfd 93 18 group group NN cord-134344-sxno0tfd 93 19 . . . cord-134344-sxno0tfd 94 1 Smaller small JJR cord-134344-sxno0tfd 94 2 values value NNS cord-134344-sxno0tfd 94 3 of of IN cord-134344-sxno0tfd 94 4 B b NN cord-134344-sxno0tfd 95 1 i i PRP cord-134344-sxno0tfd 95 2 mean mean VBP cord-134344-sxno0tfd 95 3 that that IN cord-134344-sxno0tfd 95 4 the the DT cord-134344-sxno0tfd 95 5 population population NN cord-134344-sxno0tfd 95 6 can can MD cord-134344-sxno0tfd 95 7 withstand withstand VB cord-134344-sxno0tfd 95 8 a a DT cord-134344-sxno0tfd 95 9 stricter strict JJR cord-134344-sxno0tfd 95 10 quarantine quarantine NN cord-134344-sxno0tfd 95 11 without without IN cord-134344-sxno0tfd 95 12 many many JJ cord-134344-sxno0tfd 95 13 economical economical JJ cord-134344-sxno0tfd 95 14 side side NN cord-134344-sxno0tfd 95 15 effects effect NNS cord-134344-sxno0tfd 95 16 . . . cord-134344-sxno0tfd 96 1 This this DT cord-134344-sxno0tfd 96 2 is be VBZ cord-134344-sxno0tfd 96 3 not not RB cord-134344-sxno0tfd 96 4 possible possible JJ cord-134344-sxno0tfd 96 5 , , , cord-134344-sxno0tfd 96 6 on on IN cord-134344-sxno0tfd 96 7 the the DT cord-134344-sxno0tfd 96 8 other other JJ cord-134344-sxno0tfd 96 9 hand hand NN cord-134344-sxno0tfd 96 10 , , , cord-134344-sxno0tfd 96 11 for for IN cord-134344-sxno0tfd 96 12 bigger big JJR cord-134344-sxno0tfd 96 13 values value NNS cord-134344-sxno0tfd 96 14 of of IN cord-134344-sxno0tfd 96 15 B b NN cord-134344-sxno0tfd 96 16 i i PRP cord-134344-sxno0tfd 96 17 . . . cord-134344-sxno0tfd 97 1 Since since IN cord-134344-sxno0tfd 97 2 the the DT cord-134344-sxno0tfd 97 3 bigger big JJR cord-134344-sxno0tfd 97 4 economic economic JJ cord-134344-sxno0tfd 97 5 toll toll NN cord-134344-sxno0tfd 97 6 of of IN cord-134344-sxno0tfd 97 7 the the DT cord-134344-sxno0tfd 97 8 quarantine quarantine NN cord-134344-sxno0tfd 97 9 lies lie VBZ cord-134344-sxno0tfd 97 10 on on IN cord-134344-sxno0tfd 97 11 the the DT cord-134344-sxno0tfd 97 12 adults adult NNS cord-134344-sxno0tfd 97 13 ( ( -LRB- cord-134344-sxno0tfd 97 14 because because IN cord-134344-sxno0tfd 97 15 they -PRON- PRP cord-134344-sxno0tfd 97 16 form form VBP cord-134344-sxno0tfd 97 17 almost almost RB cord-134344-sxno0tfd 97 18 all all DT cord-134344-sxno0tfd 97 19 of of IN cord-134344-sxno0tfd 97 20 the the DT cord-134344-sxno0tfd 97 21 economic economic JJ cord-134344-sxno0tfd 97 22 active active JJ cord-134344-sxno0tfd 97 23 population population NN cord-134344-sxno0tfd 97 24 ) ) -RRB- cord-134344-sxno0tfd 97 25 , , , cord-134344-sxno0tfd 97 26 we -PRON- PRP cord-134344-sxno0tfd 97 27 assume assume VBP cord-134344-sxno0tfd 97 28 that that IN cord-134344-sxno0tfd 97 29 B b NN cord-134344-sxno0tfd 97 30 2 2 CD cord-134344-sxno0tfd 97 31 is be VBZ cord-134344-sxno0tfd 97 32 the the DT cord-134344-sxno0tfd 97 33 greatest great JJS cord-134344-sxno0tfd 97 34 of of IN cord-134344-sxno0tfd 97 35 the the DT cord-134344-sxno0tfd 97 36 three three CD cord-134344-sxno0tfd 97 37 values value NNS cord-134344-sxno0tfd 97 38 . . . cord-134344-sxno0tfd 98 1 As as IN cord-134344-sxno0tfd 98 2 the the DT cord-134344-sxno0tfd 98 3 isolation isolation NN cord-134344-sxno0tfd 98 4 of of IN cord-134344-sxno0tfd 98 5 the the DT cord-134344-sxno0tfd 98 6 young young JJ cord-134344-sxno0tfd 98 7 implies imply VBZ cord-134344-sxno0tfd 98 8 closing close VBG cord-134344-sxno0tfd 98 9 schools school NNS cord-134344-sxno0tfd 98 10 , , , cord-134344-sxno0tfd 98 11 this this DT cord-134344-sxno0tfd 98 12 educational educational JJ cord-134344-sxno0tfd 98 13 impact impact NN cord-134344-sxno0tfd 98 14 makes make VBZ cord-134344-sxno0tfd 98 15 B b NN cord-134344-sxno0tfd 98 16 1 1 CD cord-134344-sxno0tfd 98 17 the the DT cord-134344-sxno0tfd 98 18 second second JJ cord-134344-sxno0tfd 98 19 highest high JJS cord-134344-sxno0tfd 98 20 cost cost NN cord-134344-sxno0tfd 98 21 , , , cord-134344-sxno0tfd 98 22 albeit albeit IN cord-134344-sxno0tfd 98 23 much much RB cord-134344-sxno0tfd 98 24 smaller small JJR cord-134344-sxno0tfd 98 25 than than IN cord-134344-sxno0tfd 98 26 B b NN cord-134344-sxno0tfd 98 27 2 2 CD cord-134344-sxno0tfd 98 28 . . . cord-134344-sxno0tfd 99 1 How how WRB cord-134344-sxno0tfd 99 2 the the DT cord-134344-sxno0tfd 99 3 total total JJ cord-134344-sxno0tfd 99 4 cost cost NN cord-134344-sxno0tfd 99 5 B b NN cord-134344-sxno0tfd 99 6 is be VBZ cord-134344-sxno0tfd 99 7 distributed distribute VBN cord-134344-sxno0tfd 99 8 among among IN cord-134344-sxno0tfd 99 9 the the DT cord-134344-sxno0tfd 99 10 age age NN cord-134344-sxno0tfd 99 11 groups group NNS cord-134344-sxno0tfd 99 12 determines determine VBZ cord-134344-sxno0tfd 99 13 the the DT cord-134344-sxno0tfd 99 14 shape shape NN cord-134344-sxno0tfd 99 15 of of IN cord-134344-sxno0tfd 99 16 the the DT cord-134344-sxno0tfd 99 17 optimal optimal JJ cord-134344-sxno0tfd 99 18 controls control NNS cord-134344-sxno0tfd 99 19 . . . cord-134344-sxno0tfd 100 1 To to TO cord-134344-sxno0tfd 100 2 study study VB cord-134344-sxno0tfd 100 3 this this DT cord-134344-sxno0tfd 100 4 relationship relationship NN cord-134344-sxno0tfd 100 5 , , , cord-134344-sxno0tfd 100 6 we -PRON- PRP cord-134344-sxno0tfd 100 7 let let VBP cord-134344-sxno0tfd 100 8 B b NN cord-134344-sxno0tfd 100 9 = = SYM cord-134344-sxno0tfd 100 10 5000 5000 CD cord-134344-sxno0tfd 100 11 and and CC cord-134344-sxno0tfd 100 12 define define VB cord-134344-sxno0tfd 100 13 four four CD cord-134344-sxno0tfd 100 14 cost cost NN cord-134344-sxno0tfd 100 15 distributions distribution NNS cord-134344-sxno0tfd 100 16 D D NNP cord-134344-sxno0tfd 100 17 1 1 CD cord-134344-sxno0tfd 100 18 , , , cord-134344-sxno0tfd 100 19 D D NNP cord-134344-sxno0tfd 100 20 2 2 CD cord-134344-sxno0tfd 100 21 , , , cord-134344-sxno0tfd 100 22 D D NNP cord-134344-sxno0tfd 100 23 3 3 CD cord-134344-sxno0tfd 100 24 and and CC cord-134344-sxno0tfd 100 25 D D NNP cord-134344-sxno0tfd 100 26 4 4 CD cord-134344-sxno0tfd 100 27 , , , cord-134344-sxno0tfd 100 28 detailed detail VBN cord-134344-sxno0tfd 100 29 in in IN cord-134344-sxno0tfd 100 30 Table Table NNP cord-134344-sxno0tfd 100 31 6 6 CD cord-134344-sxno0tfd 100 32 . . . cord-134344-sxno0tfd 101 1 Table table NN cord-134344-sxno0tfd 101 2 6 6 CD cord-134344-sxno0tfd 101 3 . . . cord-134344-sxno0tfd 102 1 The the DT cord-134344-sxno0tfd 102 2 four four CD cord-134344-sxno0tfd 102 3 distributions distribution NNS cord-134344-sxno0tfd 102 4 considered consider VBN cord-134344-sxno0tfd 102 5 for for IN cord-134344-sxno0tfd 102 6 the the DT cord-134344-sxno0tfd 102 7 total total JJ cord-134344-sxno0tfd 102 8 control control NN cord-134344-sxno0tfd 102 9 B. B. NNP cord-134344-sxno0tfd 102 10 Distribution Distribution NNP cord-134344-sxno0tfd 102 11 adults adult NNS cord-134344-sxno0tfd 102 12 , , , cord-134344-sxno0tfd 102 13 then then RB cord-134344-sxno0tfd 102 14 for for IN cord-134344-sxno0tfd 102 15 the the DT cord-134344-sxno0tfd 102 16 young young JJ cord-134344-sxno0tfd 102 17 and and CC cord-134344-sxno0tfd 102 18 lastly lastly RB cord-134344-sxno0tfd 102 19 for for IN cord-134344-sxno0tfd 102 20 the the DT cord-134344-sxno0tfd 102 21 elderly elderly JJ cord-134344-sxno0tfd 102 22 . . . cord-134344-sxno0tfd 103 1 The the DT cord-134344-sxno0tfd 103 2 differences difference NNS cord-134344-sxno0tfd 103 3 lie lie VBP cord-134344-sxno0tfd 103 4 in in IN cord-134344-sxno0tfd 103 5 the the DT cord-134344-sxno0tfd 103 6 times time NNS cord-134344-sxno0tfd 103 7 it -PRON- PRP cord-134344-sxno0tfd 103 8 takes take VBZ cord-134344-sxno0tfd 103 9 for for IN cord-134344-sxno0tfd 103 10 these these DT cord-134344-sxno0tfd 103 11 relaxations relaxation NNS cord-134344-sxno0tfd 103 12 , , , cord-134344-sxno0tfd 103 13 which which WDT cord-134344-sxno0tfd 103 14 are be VBP cord-134344-sxno0tfd 103 15 described describe VBN cord-134344-sxno0tfd 103 16 in in IN cord-134344-sxno0tfd 103 17 Table Table NNP cord-134344-sxno0tfd 103 18 _SP cord-134344-sxno0tfd 103 19 7 7 CD cord-134344-sxno0tfd 103 20 . . . cord-134344-sxno0tfd 104 1 Our -PRON- PRP$ cord-134344-sxno0tfd 104 2 goal goal NN cord-134344-sxno0tfd 104 3 now now RB cord-134344-sxno0tfd 104 4 is be VBZ cord-134344-sxno0tfd 104 5 to to TO cord-134344-sxno0tfd 104 6 compare compare VB cord-134344-sxno0tfd 104 7 these these DT cord-134344-sxno0tfd 104 8 distributions distribution NNS cord-134344-sxno0tfd 104 9 by by IN cord-134344-sxno0tfd 104 10 investigating investigate VBG cord-134344-sxno0tfd 104 11 the the DT cord-134344-sxno0tfd 104 12 number number NN cord-134344-sxno0tfd 104 13 of of IN cord-134344-sxno0tfd 104 14 deaths death NNS cord-134344-sxno0tfd 104 15 caused cause VBN cord-134344-sxno0tfd 104 16 by by IN cord-134344-sxno0tfd 104 17 the the DT cord-134344-sxno0tfd 104 18 pandemic pandemic NN cord-134344-sxno0tfd 104 19 at at IN cord-134344-sxno0tfd 104 20 the the DT cord-134344-sxno0tfd 104 21 end end NN cord-134344-sxno0tfd 104 22 of of IN cord-134344-sxno0tfd 104 23 the the DT cord-134344-sxno0tfd 104 24 quarantine quarantine NN cord-134344-sxno0tfd 104 25 for for IN cord-134344-sxno0tfd 104 26 each each DT cord-134344-sxno0tfd 104 27 one one CD cord-134344-sxno0tfd 104 28 of of IN cord-134344-sxno0tfd 104 29 them -PRON- PRP cord-134344-sxno0tfd 104 30 . . . cord-134344-sxno0tfd 105 1 As as IN cord-134344-sxno0tfd 105 2 in in IN cord-134344-sxno0tfd 105 3 [ [ -LRB- cord-134344-sxno0tfd 105 4 2 2 CD cord-134344-sxno0tfd 105 5 ] ] -RRB- cord-134344-sxno0tfd 105 6 , , , cord-134344-sxno0tfd 105 7 the the DT cord-134344-sxno0tfd 105 8 deaths death NNS cord-134344-sxno0tfd 105 9 will will MD cord-134344-sxno0tfd 105 10 be be VB cord-134344-sxno0tfd 105 11 calculated calculate VBN cord-134344-sxno0tfd 105 12 as as IN cord-134344-sxno0tfd 105 13 a a DT cord-134344-sxno0tfd 105 14 fraction fraction NN cord-134344-sxno0tfd 105 15 of of IN cord-134344-sxno0tfd 105 16 the the DT cord-134344-sxno0tfd 105 17 recovered recover VBN cord-134344-sxno0tfd 105 18 , , , cord-134344-sxno0tfd 105 19 since since IN cord-134344-sxno0tfd 105 20 there there EX cord-134344-sxno0tfd 105 21 is be VBZ cord-134344-sxno0tfd 105 22 no no DT cord-134344-sxno0tfd 105 23 disease disease NN cord-134344-sxno0tfd 105 24 induced induce VBN cord-134344-sxno0tfd 105 25 mortality mortality NN cord-134344-sxno0tfd 105 26 in in IN cord-134344-sxno0tfd 105 27 our -PRON- PRP$ cord-134344-sxno0tfd 105 28 model model NN cord-134344-sxno0tfd 105 29 . . . cord-134344-sxno0tfd 106 1 From from IN cord-134344-sxno0tfd 106 2 Table Table NNP cord-134344-sxno0tfd 106 3 3 3 CD cord-134344-sxno0tfd 106 4 , , , cord-134344-sxno0tfd 106 5 we -PRON- PRP cord-134344-sxno0tfd 106 6 can can MD cord-134344-sxno0tfd 106 7 derive derive VB cord-134344-sxno0tfd 106 8 the the DT cord-134344-sxno0tfd 106 9 case case NN cord-134344-sxno0tfd 106 10 fatality fatality NN cord-134344-sxno0tfd 106 11 rates rate VBZ cord-134344-sxno0tfd 106 12 µ µ NN cord-134344-sxno0tfd 106 13 1 1 CD cord-134344-sxno0tfd 106 14 , , , cord-134344-sxno0tfd 106 15 µ µ NN cord-134344-sxno0tfd 106 16 2 2 CD cord-134344-sxno0tfd 106 17 and and CC cord-134344-sxno0tfd 106 18 µ µ NN cord-134344-sxno0tfd 106 19 3 3 CD cord-134344-sxno0tfd 106 20 for for IN cord-134344-sxno0tfd 106 21 age age NN cord-134344-sxno0tfd 106 22 groups group NNS cord-134344-sxno0tfd 106 23 1 1 CD cord-134344-sxno0tfd 106 24 , , , cord-134344-sxno0tfd 106 25 2 2 CD cord-134344-sxno0tfd 106 26 and and CC cord-134344-sxno0tfd 106 27 3 3 CD cord-134344-sxno0tfd 106 28 , , , cord-134344-sxno0tfd 106 29 respectively respectively RB cord-134344-sxno0tfd 106 30 . . . cord-134344-sxno0tfd 107 1 The the DT cord-134344-sxno0tfd 107 2 results result NNS cord-134344-sxno0tfd 107 3 are be VBP cord-134344-sxno0tfd 107 4 ( ( -LRB- cord-134344-sxno0tfd 107 5 4.1 4.1 CD cord-134344-sxno0tfd 107 6 ) ) -RRB- cord-134344-sxno0tfd 107 7 = = SYM cord-134344-sxno0tfd 107 8 0.003 0.003 CD cord-134344-sxno0tfd 107 9 , , , cord-134344-sxno0tfd 107 10 µ µ NN cord-134344-sxno0tfd 107 11 2 2 CD cord-134344-sxno0tfd 107 12 = = SYM cord-134344-sxno0tfd 107 13 891 891 CD cord-134344-sxno0tfd 107 14 113059 113059 CD cord-134344-sxno0tfd 107 15 = = SYM cord-134344-sxno0tfd 107 16 0.008 0.008 CD cord-134344-sxno0tfd 107 17 , , , cord-134344-sxno0tfd 107 18 µ µ NN cord-134344-sxno0tfd 107 19 3 3 CD cord-134344-sxno0tfd 107 20 = = SYM cord-134344-sxno0tfd 107 21 17948 17948 CD cord-134344-sxno0tfd 107 22 121928 121928 CD cord-134344-sxno0tfd 107 23 = = SYM cord-134344-sxno0tfd 107 24 0.147 0.147 CD cord-134344-sxno0tfd 107 25 . . . cord-134344-sxno0tfd 108 1 Let let VB cord-134344-sxno0tfd 108 2 D D NNP cord-134344-sxno0tfd 108 3 denote denote VB cord-134344-sxno0tfd 108 4 the the DT cord-134344-sxno0tfd 108 5 number number NN cord-134344-sxno0tfd 108 6 of of IN cord-134344-sxno0tfd 108 7 deaths death NNS cord-134344-sxno0tfd 108 8 at at IN cord-134344-sxno0tfd 108 9 the the DT cord-134344-sxno0tfd 108 10 end end NN cord-134344-sxno0tfd 108 11 of of IN cord-134344-sxno0tfd 108 12 the the DT cord-134344-sxno0tfd 108 13 quarantine quarantine NN cord-134344-sxno0tfd 108 14 due due IN cord-134344-sxno0tfd 108 15 to to IN cord-134344-sxno0tfd 108 16 the the DT cord-134344-sxno0tfd 108 17 disease disease NN cord-134344-sxno0tfd 108 18 . . . cord-134344-sxno0tfd 109 1 By by IN cord-134344-sxno0tfd 109 2 our -PRON- PRP$ cord-134344-sxno0tfd 109 3 discussion discussion NN cord-134344-sxno0tfd 109 4 above above RB cord-134344-sxno0tfd 109 5 , , , cord-134344-sxno0tfd 109 6 we -PRON- PRP cord-134344-sxno0tfd 109 7 can can MD cord-134344-sxno0tfd 109 8 write write VB cord-134344-sxno0tfd 109 9 Because because IN cord-134344-sxno0tfd 109 10 of of IN cord-134344-sxno0tfd 109 11 the the DT cord-134344-sxno0tfd 109 12 uncertain uncertain JJ cord-134344-sxno0tfd 109 13 nature nature NN cord-134344-sxno0tfd 109 14 of of IN cord-134344-sxno0tfd 109 15 the the DT cord-134344-sxno0tfd 109 16 parameters parameter NNS cord-134344-sxno0tfd 109 17 and and CC cord-134344-sxno0tfd 109 18 due due IN cord-134344-sxno0tfd 109 19 to to IN cord-134344-sxno0tfd 109 20 the the DT cord-134344-sxno0tfd 109 21 high high JJ cord-134344-sxno0tfd 109 22 number number NN cord-134344-sxno0tfd 109 23 of of IN cord-134344-sxno0tfd 109 24 unreported unreported JJ cord-134344-sxno0tfd 109 25 cases case NNS cord-134344-sxno0tfd 109 26 , , , cord-134344-sxno0tfd 109 27 we -PRON- PRP cord-134344-sxno0tfd 109 28 do do VBP cord-134344-sxno0tfd 109 29 not not RB cord-134344-sxno0tfd 109 30 show show VB cord-134344-sxno0tfd 109 31 the the DT cord-134344-sxno0tfd 109 32 crude crude JJ cord-134344-sxno0tfd 109 33 numbers number NNS cord-134344-sxno0tfd 109 34 of of IN cord-134344-sxno0tfd 109 35 D d NN cord-134344-sxno0tfd 109 36 for for IN cord-134344-sxno0tfd 109 37 the the DT cord-134344-sxno0tfd 109 38 four four CD cord-134344-sxno0tfd 109 39 distributions distribution NNS cord-134344-sxno0tfd 109 40 . . . cord-134344-sxno0tfd 110 1 The the DT cord-134344-sxno0tfd 110 2 approach approach NN cord-134344-sxno0tfd 110 3 we -PRON- PRP cord-134344-sxno0tfd 110 4 use use VBP cord-134344-sxno0tfd 110 5 is be VBZ cord-134344-sxno0tfd 110 6 to to TO cord-134344-sxno0tfd 110 7 select select VB cord-134344-sxno0tfd 110 8 the the DT cord-134344-sxno0tfd 110 9 smallest small JJS cord-134344-sxno0tfd 110 10 values value NNS cord-134344-sxno0tfd 110 11 as as IN cord-134344-sxno0tfd 110 12 unit unit NN cord-134344-sxno0tfd 110 13 and and CC cord-134344-sxno0tfd 110 14 then then RB cord-134344-sxno0tfd 110 15 scale scale VB cord-134344-sxno0tfd 110 16 the the DT cord-134344-sxno0tfd 110 17 other other JJ cord-134344-sxno0tfd 110 18 values value NNS cord-134344-sxno0tfd 110 19 accordingly accordingly RB cord-134344-sxno0tfd 110 20 . . . cord-134344-sxno0tfd 111 1 The the DT cord-134344-sxno0tfd 111 2 results result NNS cord-134344-sxno0tfd 111 3 are be VBP cord-134344-sxno0tfd 111 4 displayed display VBN cord-134344-sxno0tfd 111 5 in in IN cord-134344-sxno0tfd 111 6 Table Table NNP cord-134344-sxno0tfd 111 7 8 8 CD cord-134344-sxno0tfd 111 8 . . . cord-134344-sxno0tfd 112 1 We -PRON- PRP cord-134344-sxno0tfd 112 2 also also RB cord-134344-sxno0tfd 112 3 included include VBD cord-134344-sxno0tfd 112 4 D D NNP cord-134344-sxno0tfd 112 5 0 0 CD cord-134344-sxno0tfd 112 6 , , , cord-134344-sxno0tfd 112 7 representing represent VBG cord-134344-sxno0tfd 112 8 the the DT cord-134344-sxno0tfd 112 9 outcome outcome NN cord-134344-sxno0tfd 112 10 of of IN cord-134344-sxno0tfd 112 11 no no DT cord-134344-sxno0tfd 112 12 quarantine quarantine NN cord-134344-sxno0tfd 112 13 . . . cord-134344-sxno0tfd 113 1 Table table NN cord-134344-sxno0tfd 113 2 8 8 CD cord-134344-sxno0tfd 113 3 . . . cord-134344-sxno0tfd 114 1 Proportion proportion NN cord-134344-sxno0tfd 114 2 of of IN cord-134344-sxno0tfd 114 3 deaths death NNS cord-134344-sxno0tfd 114 4 in in IN cord-134344-sxno0tfd 114 5 comparison comparison NN cord-134344-sxno0tfd 114 6 to to IN cord-134344-sxno0tfd 114 7 the the DT cord-134344-sxno0tfd 114 8 lowest low JJS cord-134344-sxno0tfd 114 9 outcomes outcome NNS cord-134344-sxno0tfd 114 10 . . . cord-134344-sxno0tfd 115 1 On on IN cord-134344-sxno0tfd 115 2 the the DT cord-134344-sxno0tfd 115 3 one one CD cord-134344-sxno0tfd 115 4 hand hand NN cord-134344-sxno0tfd 115 5 , , , cord-134344-sxno0tfd 115 6 we -PRON- PRP cord-134344-sxno0tfd 115 7 see see VBP cord-134344-sxno0tfd 115 8 that that IN cord-134344-sxno0tfd 115 9 all all PDT cord-134344-sxno0tfd 115 10 the the DT cord-134344-sxno0tfd 115 11 optimal optimal JJ cord-134344-sxno0tfd 115 12 controls control NNS cord-134344-sxno0tfd 115 13 reduces reduce VBZ cord-134344-sxno0tfd 115 14 the the DT cord-134344-sxno0tfd 115 15 number number NN cord-134344-sxno0tfd 115 16 of of IN cord-134344-sxno0tfd 115 17 deaths death NNS cord-134344-sxno0tfd 115 18 in in IN cord-134344-sxno0tfd 115 19 more more JJR cord-134344-sxno0tfd 115 20 than than IN cord-134344-sxno0tfd 115 21 100 100 CD cord-134344-sxno0tfd 115 22 times time NNS cord-134344-sxno0tfd 115 23 in in IN cord-134344-sxno0tfd 115 24 comparison comparison NN cord-134344-sxno0tfd 115 25 to to TO cord-134344-sxno0tfd 115 26 " " `` cord-134344-sxno0tfd 115 27 doing do VBG cord-134344-sxno0tfd 115 28 nothing nothing NN cord-134344-sxno0tfd 115 29 " " '' cord-134344-sxno0tfd 115 30 scenario scenario NN cord-134344-sxno0tfd 115 31 . . . cord-134344-sxno0tfd 116 1 On on IN cord-134344-sxno0tfd 116 2 the the DT cord-134344-sxno0tfd 116 3 other other JJ cord-134344-sxno0tfd 116 4 hand hand NN cord-134344-sxno0tfd 116 5 , , , cord-134344-sxno0tfd 116 6 the the DT cord-134344-sxno0tfd 116 7 four four CD cord-134344-sxno0tfd 116 8 distributions distribution NNS cord-134344-sxno0tfd 116 9 produce produce VBP cord-134344-sxno0tfd 116 10 very very RB cord-134344-sxno0tfd 116 11 similar similar JJ cord-134344-sxno0tfd 116 12 results result NNS cord-134344-sxno0tfd 116 13 , , , cord-134344-sxno0tfd 116 14 with with IN cord-134344-sxno0tfd 116 15 D d NN cord-134344-sxno0tfd 116 16 4 4 CD cord-134344-sxno0tfd 116 17 being be VBG cord-134344-sxno0tfd 116 18 slightly slightly RB cord-134344-sxno0tfd 116 19 better well JJR cord-134344-sxno0tfd 116 20 for for IN cord-134344-sxno0tfd 116 21 both both DT cord-134344-sxno0tfd 116 22 quarantine quarantine NN cord-134344-sxno0tfd 116 23 lengths length NNS cord-134344-sxno0tfd 116 24 . . . cord-134344-sxno0tfd 117 1 For for IN cord-134344-sxno0tfd 117 2 a a DT cord-134344-sxno0tfd 117 3 better well JJR cord-134344-sxno0tfd 117 4 visualisation visualisation NN cord-134344-sxno0tfd 117 5 , , , cord-134344-sxno0tfd 117 6 we -PRON- PRP cord-134344-sxno0tfd 117 7 plot plot VBP cord-134344-sxno0tfd 117 8 the the DT cord-134344-sxno0tfd 117 9 graphs graph NNS cord-134344-sxno0tfd 117 10 of of IN cord-134344-sxno0tfd 117 11 the the DT cord-134344-sxno0tfd 117 12 total total JJ cord-134344-sxno0tfd 117 13 number number NN cord-134344-sxno0tfd 117 14 of of IN cord-134344-sxno0tfd 117 15 infections infection NNS cord-134344-sxno0tfd 117 16 for for IN cord-134344-sxno0tfd 117 17 distribution distribution NN cord-134344-sxno0tfd 117 18 D D NNP cord-134344-sxno0tfd 117 19 4 4 CD cord-134344-sxno0tfd 117 20 in in IN cord-134344-sxno0tfd 117 21 Figure figure NN cord-134344-sxno0tfd 117 22 2 2 CD cord-134344-sxno0tfd 117 23 . . . cord-134344-sxno0tfd 118 1 Both both DT cord-134344-sxno0tfd 118 2 curves curve NNS cord-134344-sxno0tfd 118 3 reach reach VBP cord-134344-sxno0tfd 118 4 their -PRON- PRP$ cord-134344-sxno0tfd 118 5 minimum minimum NN cord-134344-sxno0tfd 118 6 around around IN cord-134344-sxno0tfd 118 7 the the DT cord-134344-sxno0tfd 118 8 same same JJ cord-134344-sxno0tfd 118 9 time time NN cord-134344-sxno0tfd 118 10 that that WDT cord-134344-sxno0tfd 118 11 the the DT cord-134344-sxno0tfd 118 12 controls control NNS cord-134344-sxno0tfd 118 13 reach reach VBP cord-134344-sxno0tfd 118 14 zero zero CD cord-134344-sxno0tfd 118 15 . . . cord-134344-sxno0tfd 119 1 For for IN cord-134344-sxno0tfd 119 2 a a DT cord-134344-sxno0tfd 119 3 quarantine quarantine NN cord-134344-sxno0tfd 119 4 of of IN cord-134344-sxno0tfd 119 5 60 60 CD cord-134344-sxno0tfd 119 6 days day NNS cord-134344-sxno0tfd 119 7 , , , cord-134344-sxno0tfd 119 8 the the DT cord-134344-sxno0tfd 119 9 number number NN cord-134344-sxno0tfd 119 10 of of IN cord-134344-sxno0tfd 119 11 cases case NNS cord-134344-sxno0tfd 119 12 at at IN cord-134344-sxno0tfd 119 13 the the DT cord-134344-sxno0tfd 119 14 end end NN cord-134344-sxno0tfd 119 15 is be VBZ cord-134344-sxno0tfd 119 16 , , , cord-134344-sxno0tfd 119 17 indeed indeed RB cord-134344-sxno0tfd 119 18 , , , cord-134344-sxno0tfd 119 19 much much RB cord-134344-sxno0tfd 119 20 smaller small JJR cord-134344-sxno0tfd 119 21 than than IN cord-134344-sxno0tfd 119 22 they -PRON- PRP cord-134344-sxno0tfd 119 23 are be VBP cord-134344-sxno0tfd 119 24 in in IN cord-134344-sxno0tfd 119 25 the the DT cord-134344-sxno0tfd 119 26 beginning beginning NN cord-134344-sxno0tfd 119 27 . . . cord-134344-sxno0tfd 120 1 However however RB cord-134344-sxno0tfd 120 2 , , , cord-134344-sxno0tfd 120 3 for for IN cord-134344-sxno0tfd 120 4 a a DT cord-134344-sxno0tfd 120 5 shorter short JJR cord-134344-sxno0tfd 120 6 quarantine quarantine NN cord-134344-sxno0tfd 120 7 , , , cord-134344-sxno0tfd 120 8 there there EX cord-134344-sxno0tfd 120 9 could could MD cord-134344-sxno0tfd 120 10 even even RB cord-134344-sxno0tfd 120 11 be be VB cord-134344-sxno0tfd 120 12 more more JJR cord-134344-sxno0tfd 120 13 cases case NNS cord-134344-sxno0tfd 120 14 than than IN cord-134344-sxno0tfd 120 15 the the DT cord-134344-sxno0tfd 120 16 initial initial JJ cord-134344-sxno0tfd 120 17 total total NN cord-134344-sxno0tfd 120 18 . . . cord-134344-sxno0tfd 121 1 This this DT cord-134344-sxno0tfd 121 2 fact fact NN cord-134344-sxno0tfd 121 3 shows show VBZ cord-134344-sxno0tfd 121 4 that that IN cord-134344-sxno0tfd 121 5 quarantines quarantine NNS cord-134344-sxno0tfd 121 6 can can MD cord-134344-sxno0tfd 121 7 not not RB cord-134344-sxno0tfd 121 8 be be VB cord-134344-sxno0tfd 121 9 too too RB cord-134344-sxno0tfd 121 10 short short JJ cord-134344-sxno0tfd 121 11 , , , cord-134344-sxno0tfd 121 12 or or CC cord-134344-sxno0tfd 121 13 else else RB cord-134344-sxno0tfd 121 14 the the DT cord-134344-sxno0tfd 121 15 overall overall JJ cord-134344-sxno0tfd 121 16 situation situation NN cord-134344-sxno0tfd 121 17 in in IN cord-134344-sxno0tfd 121 18 the the DT cord-134344-sxno0tfd 121 19 end end NN cord-134344-sxno0tfd 121 20 could could MD cord-134344-sxno0tfd 121 21 be be VB cord-134344-sxno0tfd 121 22 worse bad JJR cord-134344-sxno0tfd 121 23 than than IN cord-134344-sxno0tfd 121 24 in in IN cord-134344-sxno0tfd 121 25 the the DT cord-134344-sxno0tfd 121 26 beginning beginning NN cord-134344-sxno0tfd 121 27 . . . cord-134344-sxno0tfd 122 1 Moreover moreover RB cord-134344-sxno0tfd 122 2 , , , cord-134344-sxno0tfd 122 3 the the DT cord-134344-sxno0tfd 122 4 number number NN cord-134344-sxno0tfd 122 5 of of IN cord-134344-sxno0tfd 122 6 cases case NNS cord-134344-sxno0tfd 122 7 start start VBP cord-134344-sxno0tfd 122 8 to to TO cord-134344-sxno0tfd 122 9 go go VB cord-134344-sxno0tfd 122 10 up up RP cord-134344-sxno0tfd 122 11 again again RB cord-134344-sxno0tfd 122 12 towards towards IN cord-134344-sxno0tfd 122 13 the the DT cord-134344-sxno0tfd 122 14 end end NN cord-134344-sxno0tfd 122 15 . . . cord-134344-sxno0tfd 123 1 To to TO cord-134344-sxno0tfd 123 2 finish finish VB cord-134344-sxno0tfd 123 3 this this DT cord-134344-sxno0tfd 123 4 Section section NN cord-134344-sxno0tfd 123 5 , , , cord-134344-sxno0tfd 123 6 we -PRON- PRP cord-134344-sxno0tfd 123 7 analyse analyse VBP cord-134344-sxno0tfd 123 8 how how WRB cord-134344-sxno0tfd 123 9 the the DT cord-134344-sxno0tfd 123 10 initial initial JJ cord-134344-sxno0tfd 123 11 conditions condition NNS cord-134344-sxno0tfd 123 12 affect affect VBP cord-134344-sxno0tfd 123 13 the the DT cord-134344-sxno0tfd 123 14 optimal optimal JJ cord-134344-sxno0tfd 123 15 control control NN cord-134344-sxno0tfd 123 16 . . . cord-134344-sxno0tfd 124 1 We -PRON- PRP cord-134344-sxno0tfd 124 2 can can MD cord-134344-sxno0tfd 124 3 interpret interpret VB cord-134344-sxno0tfd 124 4 this this DT cord-134344-sxno0tfd 124 5 as as IN cord-134344-sxno0tfd 124 6 a a DT cord-134344-sxno0tfd 124 7 way way NN cord-134344-sxno0tfd 124 8 to to TO cord-134344-sxno0tfd 124 9 see see VB cord-134344-sxno0tfd 124 10 what what WP cord-134344-sxno0tfd 124 11 happens happen VBZ cord-134344-sxno0tfd 124 12 if if IN cord-134344-sxno0tfd 124 13 it -PRON- PRP cord-134344-sxno0tfd 124 14 takes take VBZ cord-134344-sxno0tfd 124 15 too too RB cord-134344-sxno0tfd 124 16 long long RB cord-134344-sxno0tfd 124 17 for for IN cord-134344-sxno0tfd 124 18 these these DT cord-134344-sxno0tfd 124 19 measures measure NNS cord-134344-sxno0tfd 124 20 to to TO cord-134344-sxno0tfd 124 21 be be VB cord-134344-sxno0tfd 124 22 implemented implement VBN cord-134344-sxno0tfd 124 23 . . . cord-134344-sxno0tfd 125 1 We -PRON- PRP cord-134344-sxno0tfd 125 2 do do VBP cord-134344-sxno0tfd 125 3 this this DT cord-134344-sxno0tfd 125 4 by by IN cord-134344-sxno0tfd 125 5 considering consider VBG cord-134344-sxno0tfd 125 6 initial initial JJ cord-134344-sxno0tfd 125 7 conditions condition NNS cord-134344-sxno0tfd 125 8 of of IN cord-134344-sxno0tfd 125 9 exposed expose VBN cord-134344-sxno0tfd 125 10 , , , cord-134344-sxno0tfd 125 11 infected infect VBN cord-134344-sxno0tfd 125 12 and and CC cord-134344-sxno0tfd 125 13 recovered recover VBD cord-134344-sxno0tfd 125 14 twice twice RB cord-134344-sxno0tfd 125 15 and and CC cord-134344-sxno0tfd 125 16 four four CD cord-134344-sxno0tfd 125 17 times time NNS cord-134344-sxno0tfd 125 18 as as RB cord-134344-sxno0tfd 125 19 much much RB cord-134344-sxno0tfd 125 20 as as IN cord-134344-sxno0tfd 125 21 their -PRON- PRP$ cord-134344-sxno0tfd 125 22 original original JJ cord-134344-sxno0tfd 125 23 values value NNS cord-134344-sxno0tfd 125 24 . . . cord-134344-sxno0tfd 126 1 As as IN cord-134344-sxno0tfd 126 2 of of IN cord-134344-sxno0tfd 126 3 May May NNP cord-134344-sxno0tfd 126 4 13 13 CD cord-134344-sxno0tfd 126 5 , , , cord-134344-sxno0tfd 126 6 2020 2020 CD cord-134344-sxno0tfd 126 7 , , , cord-134344-sxno0tfd 126 8 the the DT cord-134344-sxno0tfd 126 9 number number NN cord-134344-sxno0tfd 126 10 of of IN cord-134344-sxno0tfd 126 11 active active JJ cord-134344-sxno0tfd 126 12 cases case NNS cord-134344-sxno0tfd 126 13 in in IN cord-134344-sxno0tfd 126 14 Brazil Brazil NNP cord-134344-sxno0tfd 126 15 doubles double VBZ cord-134344-sxno0tfd 126 16 every every DT cord-134344-sxno0tfd 126 17 10 10 CD cord-134344-sxno0tfd 126 18 days day NNS cord-134344-sxno0tfd 126 19 [ [ -LRB- cord-134344-sxno0tfd 126 20 26 26 CD cord-134344-sxno0tfd 126 21 ] ] -RRB- cord-134344-sxno0tfd 126 22 , , , cord-134344-sxno0tfd 126 23 so so CC cord-134344-sxno0tfd 126 24 this this DT cord-134344-sxno0tfd 126 25 means mean VBZ cord-134344-sxno0tfd 126 26 waiting wait VBG cord-134344-sxno0tfd 126 27 10 10 CD cord-134344-sxno0tfd 126 28 or or CC cord-134344-sxno0tfd 126 29 20 20 CD cord-134344-sxno0tfd 126 30 days day NNS cord-134344-sxno0tfd 126 31 , , , cord-134344-sxno0tfd 126 32 respectively respectively RB cord-134344-sxno0tfd 126 33 , , , cord-134344-sxno0tfd 126 34 to to TO cord-134344-sxno0tfd 126 35 start start VB cord-134344-sxno0tfd 126 36 the the DT cord-134344-sxno0tfd 126 37 quarantine quarantine NN cord-134344-sxno0tfd 126 38 . . . cord-134344-sxno0tfd 127 1 In in IN cord-134344-sxno0tfd 127 2 the the DT cord-134344-sxno0tfd 127 3 plots plot NNS cord-134344-sxno0tfd 127 4 of of IN cord-134344-sxno0tfd 127 5 Figure Figure NNP cord-134344-sxno0tfd 127 6 3 3 CD cord-134344-sxno0tfd 127 7 , , , cord-134344-sxno0tfd 127 8 we -PRON- PRP cord-134344-sxno0tfd 127 9 consider consider VBP cord-134344-sxno0tfd 127 10 distribution distribution NN cord-134344-sxno0tfd 127 11 D D NNP cord-134344-sxno0tfd 127 12 4 4 CD cord-134344-sxno0tfd 127 13 and and CC cord-134344-sxno0tfd 127 14 quarantine quarantine NN cord-134344-sxno0tfd 127 15 length length NN cord-134344-sxno0tfd 127 16 of of IN cord-134344-sxno0tfd 127 17 60 60 CD cord-134344-sxno0tfd 127 18 days day NNS cord-134344-sxno0tfd 127 19 . . . cord-134344-sxno0tfd 128 1 The the DT cord-134344-sxno0tfd 128 2 plot plot NN cord-134344-sxno0tfd 128 3 on on IN cord-134344-sxno0tfd 128 4 the the DT cord-134344-sxno0tfd 128 5 left left NN cord-134344-sxno0tfd 128 6 of of IN cord-134344-sxno0tfd 128 7 Figure figure NN cord-134344-sxno0tfd 128 8 3 3 CD cord-134344-sxno0tfd 128 9 is be VBZ cord-134344-sxno0tfd 128 10 the the DT cord-134344-sxno0tfd 128 11 same same JJ cord-134344-sxno0tfd 128 12 as as IN cord-134344-sxno0tfd 128 13 the the DT cord-134344-sxno0tfd 128 14 last last JJ cord-134344-sxno0tfd 128 15 one one NN cord-134344-sxno0tfd 128 16 in in IN cord-134344-sxno0tfd 128 17 1 1 CD cord-134344-sxno0tfd 128 18 . . . cord-134344-sxno0tfd 129 1 The the DT cord-134344-sxno0tfd 129 2 quarantine quarantine NN cord-134344-sxno0tfd 129 3 is be VBZ cord-134344-sxno0tfd 129 4 relaxed relaxed JJ cord-134344-sxno0tfd 129 5 for for IN cord-134344-sxno0tfd 129 6 the the DT cord-134344-sxno0tfd 129 7 young young JJ cord-134344-sxno0tfd 129 8 , , , cord-134344-sxno0tfd 129 9 adults adult NNS cord-134344-sxno0tfd 129 10 and and CC cord-134344-sxno0tfd 129 11 elderly elderly JJ cord-134344-sxno0tfd 129 12 after after IN cord-134344-sxno0tfd 129 13 13 13 CD cord-134344-sxno0tfd 129 14 , , , cord-134344-sxno0tfd 129 15 11 11 CD cord-134344-sxno0tfd 129 16 and and CC cord-134344-sxno0tfd 129 17 47 47 CD cord-134344-sxno0tfd 129 18 days day NNS cord-134344-sxno0tfd 129 19 , , , cord-134344-sxno0tfd 129 20 respectively respectively RB cord-134344-sxno0tfd 129 21 . . . cord-134344-sxno0tfd 130 1 The the DT cord-134344-sxno0tfd 130 2 plot plot NN cord-134344-sxno0tfd 130 3 in in IN cord-134344-sxno0tfd 130 4 the the DT cord-134344-sxno0tfd 130 5 middle middle NN cord-134344-sxno0tfd 130 6 has have VBZ cord-134344-sxno0tfd 130 7 the the DT cord-134344-sxno0tfd 130 8 initial initial JJ cord-134344-sxno0tfd 130 9 conditions condition NNS cord-134344-sxno0tfd 130 10 of of IN cord-134344-sxno0tfd 130 11 exposed expose VBN cord-134344-sxno0tfd 130 12 , , , cord-134344-sxno0tfd 130 13 infected infected JJ cord-134344-sxno0tfd 130 14 and and CC cord-134344-sxno0tfd 130 15 recovered recover VBN cord-134344-sxno0tfd 130 16 multiplied multiply VBN cord-134344-sxno0tfd 130 17 by by IN cord-134344-sxno0tfd 130 18 two two CD cord-134344-sxno0tfd 130 19 . . . cord-134344-sxno0tfd 131 1 Now now RB cord-134344-sxno0tfd 131 2 , , , cord-134344-sxno0tfd 131 3 the the DT cord-134344-sxno0tfd 131 4 quarantine quarantine NN cord-134344-sxno0tfd 131 5 is be VBZ cord-134344-sxno0tfd 131 6 relaxed relax VBN cord-134344-sxno0tfd 131 7 only only RB cord-134344-sxno0tfd 131 8 after after IN cord-134344-sxno0tfd 131 9 27 27 CD cord-134344-sxno0tfd 131 10 , , , cord-134344-sxno0tfd 131 11 26 26 CD cord-134344-sxno0tfd 131 12 and and CC cord-134344-sxno0tfd 131 13 53 53 CD cord-134344-sxno0tfd 131 14 days day NNS cord-134344-sxno0tfd 131 15 , , , cord-134344-sxno0tfd 131 16 respectively respectively RB cord-134344-sxno0tfd 131 17 . . . cord-134344-sxno0tfd 132 1 The the DT cord-134344-sxno0tfd 132 2 last last JJ cord-134344-sxno0tfd 132 3 plot plot NN cord-134344-sxno0tfd 132 4 multiplies multiply VBZ cord-134344-sxno0tfd 132 5 the the DT cord-134344-sxno0tfd 132 6 initial initial JJ cord-134344-sxno0tfd 132 7 conditions condition NNS cord-134344-sxno0tfd 132 8 by by IN cord-134344-sxno0tfd 132 9 four four CD cord-134344-sxno0tfd 132 10 . . . cord-134344-sxno0tfd 133 1 The the DT cord-134344-sxno0tfd 133 2 relaxations relaxation NNS cord-134344-sxno0tfd 133 3 happen happen VBP cord-134344-sxno0tfd 133 4 , , , cord-134344-sxno0tfd 133 5 respectively respectively RB cord-134344-sxno0tfd 133 6 , , , cord-134344-sxno0tfd 133 7 after after IN cord-134344-sxno0tfd 133 8 39 39 CD cord-134344-sxno0tfd 133 9 , , , cord-134344-sxno0tfd 133 10 38 38 CD cord-134344-sxno0tfd 133 11 and and CC cord-134344-sxno0tfd 133 12 54 54 CD cord-134344-sxno0tfd 133 13 days day NNS cord-134344-sxno0tfd 133 14 . . . cord-134344-sxno0tfd 134 1 This this DT cord-134344-sxno0tfd 134 2 shows show VBZ cord-134344-sxno0tfd 134 3 that that IN cord-134344-sxno0tfd 134 4 the the DT cord-134344-sxno0tfd 134 5 quarantines quarantine NNS cord-134344-sxno0tfd 134 6 have have VBP cord-134344-sxno0tfd 134 7 to to TO cord-134344-sxno0tfd 134 8 be be VB cord-134344-sxno0tfd 134 9 much much RB cord-134344-sxno0tfd 134 10 stricter strict JJR cord-134344-sxno0tfd 134 11 if if IN cord-134344-sxno0tfd 134 12 there there EX cord-134344-sxno0tfd 134 13 is be VBZ cord-134344-sxno0tfd 134 14 a a DT cord-134344-sxno0tfd 134 15 delay delay NN cord-134344-sxno0tfd 134 16 in in IN cord-134344-sxno0tfd 134 17 their -PRON- PRP$ cord-134344-sxno0tfd 134 18 implementation implementation NN cord-134344-sxno0tfd 134 19 . . . cord-134344-sxno0tfd 135 1 Moreover moreover RB cord-134344-sxno0tfd 135 2 , , , cord-134344-sxno0tfd 135 3 applying apply VBG cord-134344-sxno0tfd 135 4 ( ( -LRB- cord-134344-sxno0tfd 135 5 4.2 4.2 CD cord-134344-sxno0tfd 135 6 ) ) -RRB- cord-134344-sxno0tfd 135 7 with with IN cord-134344-sxno0tfd 135 8 and and CC cord-134344-sxno0tfd 135 9 without without IN cord-134344-sxno0tfd 135 10 quarantine quarantine NN cord-134344-sxno0tfd 135 11 , , , cord-134344-sxno0tfd 135 12 we -PRON- PRP cord-134344-sxno0tfd 135 13 see see VBP cord-134344-sxno0tfd 135 14 that that IN cord-134344-sxno0tfd 135 15 the the DT cord-134344-sxno0tfd 135 16 deaths death NNS cord-134344-sxno0tfd 135 17 are be VBP cord-134344-sxno0tfd 135 18 reduced reduce VBN cord-134344-sxno0tfd 135 19 by by IN cord-134344-sxno0tfd 135 20 factors factor NNS cord-134344-sxno0tfd 135 21 of of IN cord-134344-sxno0tfd 135 22 79 79 CD cord-134344-sxno0tfd 135 23 and and CC cord-134344-sxno0tfd 135 24 40 40 CD cord-134344-sxno0tfd 135 25 when when WRB cord-134344-sxno0tfd 135 26 initial initial JJ cord-134344-sxno0tfd 135 27 conditions condition NNS cord-134344-sxno0tfd 135 28 are be VBP cord-134344-sxno0tfd 135 29 multiplied multiply VBN cord-134344-sxno0tfd 135 30 by by IN cord-134344-sxno0tfd 135 31 2 2 CD cord-134344-sxno0tfd 135 32 and and CC cord-134344-sxno0tfd 135 33 4 4 CD cord-134344-sxno0tfd 135 34 , , , cord-134344-sxno0tfd 135 35 respectively respectively RB cord-134344-sxno0tfd 135 36 . . . cord-134344-sxno0tfd 136 1 With with IN cord-134344-sxno0tfd 136 2 an an DT cord-134344-sxno0tfd 136 3 earlier early JJR cord-134344-sxno0tfd 136 4 quarantine quarantine NN cord-134344-sxno0tfd 136 5 entrance entrance NN cord-134344-sxno0tfd 136 6 , , , cord-134344-sxno0tfd 136 7 Table Table NNP cord-134344-sxno0tfd 136 8 8 8 CD cord-134344-sxno0tfd 136 9 showed show VBD cord-134344-sxno0tfd 136 10 that that IN cord-134344-sxno0tfd 136 11 the the DT cord-134344-sxno0tfd 136 12 reduction reduction NN cord-134344-sxno0tfd 136 13 was be VBD cord-134344-sxno0tfd 136 14 by by IN cord-134344-sxno0tfd 136 15 a a DT cord-134344-sxno0tfd 136 16 factor factor NN cord-134344-sxno0tfd 136 17 of of IN cord-134344-sxno0tfd 136 18 155 155 CD cord-134344-sxno0tfd 136 19 for for IN cord-134344-sxno0tfd 136 20 distribution distribution NN cord-134344-sxno0tfd 136 21 D D NNP cord-134344-sxno0tfd 136 22 4 4 CD cord-134344-sxno0tfd 136 23 , , , cord-134344-sxno0tfd 136 24 so so CC cord-134344-sxno0tfd 136 25 the the DT cord-134344-sxno0tfd 136 26 longer long RBR cord-134344-sxno0tfd 136 27 it -PRON- PRP cord-134344-sxno0tfd 136 28 takes take VBZ cord-134344-sxno0tfd 136 29 for for IN cord-134344-sxno0tfd 136 30 the the DT cord-134344-sxno0tfd 136 31 quarantine quarantine NN cord-134344-sxno0tfd 136 32 to to TO cord-134344-sxno0tfd 136 33 start start VB cord-134344-sxno0tfd 136 34 , , , cord-134344-sxno0tfd 136 35 the the DT cord-134344-sxno0tfd 136 36 less less RBR cord-134344-sxno0tfd 136 37 effective effective JJ cord-134344-sxno0tfd 136 38 it -PRON- PRP cord-134344-sxno0tfd 136 39 is be VBZ cord-134344-sxno0tfd 136 40 . . . cord-134344-sxno0tfd 137 1 In in IN cord-134344-sxno0tfd 137 2 this this DT cord-134344-sxno0tfd 137 3 paper paper NN cord-134344-sxno0tfd 137 4 we -PRON- PRP cord-134344-sxno0tfd 137 5 considered consider VBD cord-134344-sxno0tfd 137 6 an an DT cord-134344-sxno0tfd 137 7 age age NN cord-134344-sxno0tfd 137 8 - - HYPH cord-134344-sxno0tfd 137 9 structured structure VBN cord-134344-sxno0tfd 137 10 SEIRQ SEIRQ NNP cord-134344-sxno0tfd 137 11 model model NN cord-134344-sxno0tfd 137 12 , , , cord-134344-sxno0tfd 137 13 where where WRB cord-134344-sxno0tfd 137 14 the the DT cord-134344-sxno0tfd 137 15 quarantine quarantine NN cord-134344-sxno0tfd 137 16 entrance entrance NN cord-134344-sxno0tfd 137 17 parameters parameter NNS cord-134344-sxno0tfd 137 18 are be VBP cord-134344-sxno0tfd 137 19 thought think VBN cord-134344-sxno0tfd 137 20 as as IN cord-134344-sxno0tfd 137 21 controls control NNS cord-134344-sxno0tfd 137 22 of of IN cord-134344-sxno0tfd 137 23 the the DT cord-134344-sxno0tfd 137 24 system system NN cord-134344-sxno0tfd 137 25 , , , cord-134344-sxno0tfd 137 26 and and CC cord-134344-sxno0tfd 137 27 we -PRON- PRP cord-134344-sxno0tfd 137 28 looked look VBD cord-134344-sxno0tfd 137 29 for for IN cord-134344-sxno0tfd 137 30 the the DT cord-134344-sxno0tfd 137 31 optimal optimal JJ cord-134344-sxno0tfd 137 32 controls control NNS cord-134344-sxno0tfd 137 33 via via IN cord-134344-sxno0tfd 137 34 Pontryagin Pontryagin NNP cord-134344-sxno0tfd 137 35 's 's POS cord-134344-sxno0tfd 137 36 maximum maximum JJ cord-134344-sxno0tfd 137 37 principle principle NN cord-134344-sxno0tfd 137 38 . . . cord-134344-sxno0tfd 138 1 After after IN cord-134344-sxno0tfd 138 2 writing write VBG cord-134344-sxno0tfd 138 3 down down RP cord-134344-sxno0tfd 138 4 the the DT cord-134344-sxno0tfd 138 5 optimality optimality NN cord-134344-sxno0tfd 138 6 system system NN cord-134344-sxno0tfd 138 7 , , , cord-134344-sxno0tfd 138 8 we -PRON- PRP cord-134344-sxno0tfd 138 9 calculated calculate VBD cord-134344-sxno0tfd 138 10 the the DT cord-134344-sxno0tfd 138 11 optimal optimal JJ cord-134344-sxno0tfd 138 12 controls control NNS cord-134344-sxno0tfd 138 13 numerically numerically RB cord-134344-sxno0tfd 138 14 and and CC cord-134344-sxno0tfd 138 15 analysed analyse VBD cord-134344-sxno0tfd 138 16 how how WRB cord-134344-sxno0tfd 138 17 some some DT cord-134344-sxno0tfd 138 18 of of IN cord-134344-sxno0tfd 138 19 the the DT cord-134344-sxno0tfd 138 20 parameters parameter NNS cord-134344-sxno0tfd 138 21 influence influence VBP cord-134344-sxno0tfd 138 22 the the DT cord-134344-sxno0tfd 138 23 results result NNS cord-134344-sxno0tfd 138 24 . . . cord-134344-sxno0tfd 139 1 These these DT cord-134344-sxno0tfd 139 2 parameters parameter NNS cord-134344-sxno0tfd 139 3 represent represent VBP cord-134344-sxno0tfd 139 4 the the DT cord-134344-sxno0tfd 139 5 difficult difficult JJ cord-134344-sxno0tfd 139 6 choices choice NNS cord-134344-sxno0tfd 139 7 authorities authority NNS cord-134344-sxno0tfd 139 8 must must MD cord-134344-sxno0tfd 139 9 make make VB cord-134344-sxno0tfd 139 10 , , , cord-134344-sxno0tfd 139 11 such such JJ cord-134344-sxno0tfd 139 12 as as IN cord-134344-sxno0tfd 139 13 deciding decide VBG cord-134344-sxno0tfd 139 14 how how WRB cord-134344-sxno0tfd 139 15 many many JJ cord-134344-sxno0tfd 139 16 essential essential JJ cord-134344-sxno0tfd 139 17 workers worker NNS cord-134344-sxno0tfd 139 18 are be VBP cord-134344-sxno0tfd 139 19 allowed allow VBN cord-134344-sxno0tfd 139 20 to to TO cord-134344-sxno0tfd 139 21 remain remain VB cord-134344-sxno0tfd 139 22 circulating circulate VBG cord-134344-sxno0tfd 139 23 , , , cord-134344-sxno0tfd 139 24 estimating estimate VBG cord-134344-sxno0tfd 139 25 the the DT cord-134344-sxno0tfd 139 26 economic economic JJ cord-134344-sxno0tfd 139 27 impact impact NN cord-134344-sxno0tfd 139 28 of of IN cord-134344-sxno0tfd 139 29 the the DT cord-134344-sxno0tfd 139 30 quarantine quarantine NN cord-134344-sxno0tfd 139 31 and and CC cord-134344-sxno0tfd 139 32 even even RB cord-134344-sxno0tfd 139 33 when when WRB cord-134344-sxno0tfd 139 34 to to TO cord-134344-sxno0tfd 139 35 start start VB cord-134344-sxno0tfd 139 36 it -PRON- PRP cord-134344-sxno0tfd 139 37 . . . cord-134344-sxno0tfd 140 1 As as IN cord-134344-sxno0tfd 140 2 such such JJ cord-134344-sxno0tfd 140 3 choices choice NNS cord-134344-sxno0tfd 140 4 are be VBP cord-134344-sxno0tfd 140 5 made make VBN cord-134344-sxno0tfd 140 6 , , , cord-134344-sxno0tfd 140 7 the the DT cord-134344-sxno0tfd 140 8 optimal optimal JJ cord-134344-sxno0tfd 140 9 controls control NNS cord-134344-sxno0tfd 140 10 give give VBP cord-134344-sxno0tfd 140 11 guidelines guideline NNS cord-134344-sxno0tfd 140 12 of of IN cord-134344-sxno0tfd 140 13 how how WRB cord-134344-sxno0tfd 140 14 to to TO cord-134344-sxno0tfd 140 15 proceed proceed VB cord-134344-sxno0tfd 140 16 . . . cord-134344-sxno0tfd 141 1 In in IN cord-134344-sxno0tfd 141 2 Section section NN cord-134344-sxno0tfd 141 3 4 4 CD cord-134344-sxno0tfd 141 4 , , , cord-134344-sxno0tfd 141 5 we -PRON- PRP cord-134344-sxno0tfd 141 6 considered consider VBD cord-134344-sxno0tfd 141 7 a a DT cord-134344-sxno0tfd 141 8 constant constant JJ cord-134344-sxno0tfd 141 9 total total JJ cord-134344-sxno0tfd 141 10 control control NN cord-134344-sxno0tfd 141 11 cost cost NN cord-134344-sxno0tfd 141 12 and and CC cord-134344-sxno0tfd 141 13 distributed distribute VBD cord-134344-sxno0tfd 141 14 it -PRON- PRP cord-134344-sxno0tfd 141 15 among among IN cord-134344-sxno0tfd 141 16 the the DT cord-134344-sxno0tfd 141 17 age age NN cord-134344-sxno0tfd 141 18 groups group NNS cord-134344-sxno0tfd 141 19 in in IN cord-134344-sxno0tfd 141 20 four four CD cord-134344-sxno0tfd 141 21 ways way NNS cord-134344-sxno0tfd 141 22 . . . cord-134344-sxno0tfd 142 1 The the DT cord-134344-sxno0tfd 142 2 distribution distribution NN cord-134344-sxno0tfd 142 3 with with IN cord-134344-sxno0tfd 142 4 the the DT cord-134344-sxno0tfd 142 5 best good JJS cord-134344-sxno0tfd 142 6 results result NNS cord-134344-sxno0tfd 142 7 with with IN cord-134344-sxno0tfd 142 8 regard regard NN cord-134344-sxno0tfd 142 9 to to IN cord-134344-sxno0tfd 142 10 deaths death NNS cord-134344-sxno0tfd 142 11 during during IN cord-134344-sxno0tfd 142 12 the the DT cord-134344-sxno0tfd 142 13 quarantine quarantine NN cord-134344-sxno0tfd 142 14 gave give VBD cord-134344-sxno0tfd 142 15 us -PRON- PRP cord-134344-sxno0tfd 142 16 a a DT cord-134344-sxno0tfd 142 17 calendar calendar NN cord-134344-sxno0tfd 142 18 of of IN cord-134344-sxno0tfd 142 19 when when WRB cord-134344-sxno0tfd 142 20 to to TO cord-134344-sxno0tfd 142 21 relax relax VB cord-134344-sxno0tfd 142 22 the the DT cord-134344-sxno0tfd 142 23 isolation isolation NN cord-134344-sxno0tfd 142 24 measures measure NNS cord-134344-sxno0tfd 142 25 in in IN cord-134344-sxno0tfd 142 26 the the DT cord-134344-sxno0tfd 142 27 three three CD cord-134344-sxno0tfd 142 28 age age NN cord-134344-sxno0tfd 142 29 groups group NNS cord-134344-sxno0tfd 142 30 ( ( -LRB- cord-134344-sxno0tfd 142 31 for for IN cord-134344-sxno0tfd 142 32 quarantine quarantine NN cord-134344-sxno0tfd 142 33 lengths length NNS cord-134344-sxno0tfd 142 34 of of IN cord-134344-sxno0tfd 142 35 30 30 CD cord-134344-sxno0tfd 142 36 and and CC cord-134344-sxno0tfd 142 37 60 60 CD cord-134344-sxno0tfd 142 38 days day NNS cord-134344-sxno0tfd 142 39 , , , cord-134344-sxno0tfd 142 40 respectively respectively RB cord-134344-sxno0tfd 142 41 ) ) -RRB- cord-134344-sxno0tfd 142 42 : : : cord-134344-sxno0tfd 143 1 • • NNP cord-134344-sxno0tfd 144 1 For for IN cord-134344-sxno0tfd 144 2 the the DT cord-134344-sxno0tfd 144 3 youngs youngs NNPS cord-134344-sxno0tfd 144 4 , , , cord-134344-sxno0tfd 144 5 the the DT cord-134344-sxno0tfd 144 6 date date NN cord-134344-sxno0tfd 144 7 of of IN cord-134344-sxno0tfd 144 8 relaxation relaxation NN cord-134344-sxno0tfd 144 9 was be VBD cord-134344-sxno0tfd 144 10 the the DT cord-134344-sxno0tfd 144 11 15th 15th JJ cord-134344-sxno0tfd 144 12 or or CC cord-134344-sxno0tfd 144 13 the the DT cord-134344-sxno0tfd 144 14 13th 13th JJ cord-134344-sxno0tfd 144 15 day day NN cord-134344-sxno0tfd 144 16 . . . cord-134344-sxno0tfd 145 1 • • NNP cord-134344-sxno0tfd 146 1 For for IN cord-134344-sxno0tfd 146 2 the the DT cord-134344-sxno0tfd 146 3 adults adult NNS cord-134344-sxno0tfd 146 4 , , , cord-134344-sxno0tfd 146 5 the the DT cord-134344-sxno0tfd 146 6 relaxation relaxation NN cord-134344-sxno0tfd 146 7 started start VBD cord-134344-sxno0tfd 146 8 at at IN cord-134344-sxno0tfd 146 9 the the DT cord-134344-sxno0tfd 146 10 12th 12th JJ cord-134344-sxno0tfd 146 11 day day NN cord-134344-sxno0tfd 146 12 or or CC cord-134344-sxno0tfd 146 13 the the DT cord-134344-sxno0tfd 146 14 11th 11th JJ cord-134344-sxno0tfd 146 15 day day NN cord-134344-sxno0tfd 146 16 . . . cord-134344-sxno0tfd 147 1 • • NNP cord-134344-sxno0tfd 148 1 For for IN cord-134344-sxno0tfd 148 2 the the DT cord-134344-sxno0tfd 148 3 elderly elderly JJ cord-134344-sxno0tfd 148 4 , , , cord-134344-sxno0tfd 148 5 it -PRON- PRP cord-134344-sxno0tfd 148 6 started start VBD cord-134344-sxno0tfd 148 7 at at IN cord-134344-sxno0tfd 148 8 the the DT cord-134344-sxno0tfd 148 9 25th 25th JJ cord-134344-sxno0tfd 148 10 day day NN cord-134344-sxno0tfd 148 11 or or CC cord-134344-sxno0tfd 148 12 the the DT cord-134344-sxno0tfd 148 13 47th 47th JJ cord-134344-sxno0tfd 148 14 day day NN cord-134344-sxno0tfd 148 15 . . . cord-134344-sxno0tfd 149 1 The the DT cord-134344-sxno0tfd 149 2 optimal optimal JJ cord-134344-sxno0tfd 149 3 controls control NNS cord-134344-sxno0tfd 149 4 that that WDT cord-134344-sxno0tfd 149 5 induce induce VBP cord-134344-sxno0tfd 149 6 this this DT cord-134344-sxno0tfd 149 7 calendar calendar NN cord-134344-sxno0tfd 150 1 produced produce VBD cord-134344-sxno0tfd 150 2 a a DT cord-134344-sxno0tfd 150 3 reduction reduction NN cord-134344-sxno0tfd 150 4 in in IN cord-134344-sxno0tfd 150 5 the the DT cord-134344-sxno0tfd 150 6 number number NN cord-134344-sxno0tfd 150 7 of of IN cord-134344-sxno0tfd 150 8 deaths death NNS cord-134344-sxno0tfd 150 9 of of IN cord-134344-sxno0tfd 150 10 110 110 CD cord-134344-sxno0tfd 150 11 and and CC cord-134344-sxno0tfd 150 12 155 155 CD cord-134344-sxno0tfd 150 13 times time NNS cord-134344-sxno0tfd 150 14 , , , cord-134344-sxno0tfd 150 15 respectively respectively RB cord-134344-sxno0tfd 150 16 , , , cord-134344-sxno0tfd 150 17 in in IN cord-134344-sxno0tfd 150 18 comparison comparison NN cord-134344-sxno0tfd 150 19 to to IN cord-134344-sxno0tfd 150 20 the the DT cord-134344-sxno0tfd 150 21 same same JJ cord-134344-sxno0tfd 150 22 period period NN cord-134344-sxno0tfd 150 23 of of IN cord-134344-sxno0tfd 150 24 time time NN cord-134344-sxno0tfd 150 25 without without IN cord-134344-sxno0tfd 150 26 quarantine quarantine NN cord-134344-sxno0tfd 150 27 . . . cord-134344-sxno0tfd 151 1 However however RB cord-134344-sxno0tfd 151 2 , , , cord-134344-sxno0tfd 151 3 in in IN cord-134344-sxno0tfd 151 4 both both DT cord-134344-sxno0tfd 151 5 cases case NNS cord-134344-sxno0tfd 151 6 the the DT cord-134344-sxno0tfd 151 7 number number NN cord-134344-sxno0tfd 151 8 of of IN cord-134344-sxno0tfd 151 9 infected infected JJ cord-134344-sxno0tfd 151 10 cases case NNS cord-134344-sxno0tfd 151 11 reached reach VBD cord-134344-sxno0tfd 151 12 a a DT cord-134344-sxno0tfd 151 13 minimum minimum NN cord-134344-sxno0tfd 151 14 just just RB cord-134344-sxno0tfd 151 15 before before IN cord-134344-sxno0tfd 151 16 the the DT cord-134344-sxno0tfd 151 17 end end NN cord-134344-sxno0tfd 151 18 of of IN cord-134344-sxno0tfd 151 19 the the DT cord-134344-sxno0tfd 151 20 simulation simulation NN cord-134344-sxno0tfd 151 21 , , , cord-134344-sxno0tfd 151 22 so so RB cord-134344-sxno0tfd 151 23 by by IN cord-134344-sxno0tfd 151 24 the the DT cord-134344-sxno0tfd 151 25 time time NN cord-134344-sxno0tfd 151 26 the the DT cord-134344-sxno0tfd 151 27 quarantine quarantine NN cord-134344-sxno0tfd 151 28 ended end VBD cord-134344-sxno0tfd 151 29 , , , cord-134344-sxno0tfd 151 30 the the DT cord-134344-sxno0tfd 151 31 cases case NNS cord-134344-sxno0tfd 151 32 were be VBD cord-134344-sxno0tfd 151 33 going go VBG cord-134344-sxno0tfd 151 34 up up RP cord-134344-sxno0tfd 151 35 again again RB cord-134344-sxno0tfd 151 36 , , , cord-134344-sxno0tfd 151 37 even even RB cord-134344-sxno0tfd 151 38 becoming become VBG cord-134344-sxno0tfd 151 39 bigger big JJR cord-134344-sxno0tfd 151 40 than than IN cord-134344-sxno0tfd 151 41 the the DT cord-134344-sxno0tfd 151 42 original original JJ cord-134344-sxno0tfd 151 43 values value NNS cord-134344-sxno0tfd 151 44 for for IN cord-134344-sxno0tfd 151 45 the the DT cord-134344-sxno0tfd 151 46 shorter short JJR cord-134344-sxno0tfd 151 47 length length NN cord-134344-sxno0tfd 151 48 we -PRON- PRP cord-134344-sxno0tfd 151 49 considered consider VBD cord-134344-sxno0tfd 151 50 . . . cord-134344-sxno0tfd 152 1 This this DT cord-134344-sxno0tfd 152 2 shows show VBZ cord-134344-sxno0tfd 152 3 that that IN cord-134344-sxno0tfd 152 4 the the DT cord-134344-sxno0tfd 152 5 quarantines quarantine NNS cord-134344-sxno0tfd 152 6 are be VBP cord-134344-sxno0tfd 152 7 not not RB cord-134344-sxno0tfd 152 8 effective effective JJ cord-134344-sxno0tfd 152 9 if if IN cord-134344-sxno0tfd 152 10 they -PRON- PRP cord-134344-sxno0tfd 152 11 are be VBP cord-134344-sxno0tfd 152 12 not not RB cord-134344-sxno0tfd 152 13 long long RB cord-134344-sxno0tfd 152 14 enough enough RB cord-134344-sxno0tfd 152 15 . . . cord-134344-sxno0tfd 153 1 We -PRON- PRP cord-134344-sxno0tfd 153 2 also also RB cord-134344-sxno0tfd 153 3 showed show VBD cord-134344-sxno0tfd 153 4 that that IN cord-134344-sxno0tfd 153 5 waiting wait VBG cord-134344-sxno0tfd 153 6 too too RB cord-134344-sxno0tfd 153 7 long long RB cord-134344-sxno0tfd 153 8 to to TO cord-134344-sxno0tfd 153 9 start start VB cord-134344-sxno0tfd 153 10 the the DT cord-134344-sxno0tfd 153 11 quarantine quarantine NN cord-134344-sxno0tfd 153 12 makes make VBZ cord-134344-sxno0tfd 153 13 the the DT cord-134344-sxno0tfd 153 14 period period NN cord-134344-sxno0tfd 153 15 before before IN cord-134344-sxno0tfd 153 16 the the DT cord-134344-sxno0tfd 153 17 relaxation relaxation NN cord-134344-sxno0tfd 153 18 become become VBN cord-134344-sxno0tfd 153 19 longer long RBR cord-134344-sxno0tfd 153 20 . . . cord-134344-sxno0tfd 154 1 This this DT cord-134344-sxno0tfd 154 2 also also RB cord-134344-sxno0tfd 154 3 produced produce VBD cord-134344-sxno0tfd 154 4 a a DT cord-134344-sxno0tfd 154 5 loss loss NN cord-134344-sxno0tfd 154 6 in in IN cord-134344-sxno0tfd 154 7 efficacy efficacy NN cord-134344-sxno0tfd 154 8 , , , cord-134344-sxno0tfd 154 9 since since IN cord-134344-sxno0tfd 154 10 the the DT cord-134344-sxno0tfd 154 11 reduction reduction NN cord-134344-sxno0tfd 154 12 of of IN cord-134344-sxno0tfd 154 13 deaths death NNS cord-134344-sxno0tfd 154 14 due due JJ cord-134344-sxno0tfd 154 15 to to IN cord-134344-sxno0tfd 154 16 the the DT cord-134344-sxno0tfd 154 17 quarantine quarantine NN cord-134344-sxno0tfd 154 18 ( ( -LRB- cord-134344-sxno0tfd 154 19 in in IN cord-134344-sxno0tfd 154 20 comparison comparison NN cord-134344-sxno0tfd 154 21 to to IN cord-134344-sxno0tfd 154 22 the the DT cord-134344-sxno0tfd 154 23 " " `` cord-134344-sxno0tfd 154 24 doing do VBG cord-134344-sxno0tfd 154 25 nothing nothing NN cord-134344-sxno0tfd 154 26 " " '' cord-134344-sxno0tfd 154 27 scenario scenario NN cord-134344-sxno0tfd 154 28 ) ) -RRB- cord-134344-sxno0tfd 154 29 appeared appear VBD cord-134344-sxno0tfd 154 30 to to TO cord-134344-sxno0tfd 154 31 be be VB cord-134344-sxno0tfd 154 32 approximately approximately RB cord-134344-sxno0tfd 154 33 inversely inversely RB cord-134344-sxno0tfd 154 34 proportional proportional JJ cord-134344-sxno0tfd 154 35 to to IN cord-134344-sxno0tfd 154 36 the the DT cord-134344-sxno0tfd 154 37 number number NN cord-134344-sxno0tfd 154 38 of of IN cord-134344-sxno0tfd 154 39 initial initial JJ cord-134344-sxno0tfd 154 40 cases case NNS cord-134344-sxno0tfd 154 41 . . . cord-134344-sxno0tfd 155 1 In in IN cord-134344-sxno0tfd 155 2 our -PRON- PRP$ cord-134344-sxno0tfd 155 3 model model NN cord-134344-sxno0tfd 155 4 we -PRON- PRP cord-134344-sxno0tfd 155 5 used use VBD cord-134344-sxno0tfd 155 6 data datum NNS cord-134344-sxno0tfd 155 7 from from IN cord-134344-sxno0tfd 155 8 Brazil Brazil NNP cord-134344-sxno0tfd 155 9 as as IN cord-134344-sxno0tfd 155 10 initial initial JJ cord-134344-sxno0tfd 155 11 conditions condition NNS cord-134344-sxno0tfd 155 12 . . . cord-134344-sxno0tfd 156 1 Brazil Brazil NNP cord-134344-sxno0tfd 156 2 is be VBZ cord-134344-sxno0tfd 156 3 a a DT cord-134344-sxno0tfd 156 4 very very RB cord-134344-sxno0tfd 156 5 large large JJ cord-134344-sxno0tfd 156 6 country country NN cord-134344-sxno0tfd 156 7 , , , cord-134344-sxno0tfd 156 8 with with IN cord-134344-sxno0tfd 156 9 many many JJ cord-134344-sxno0tfd 156 10 cities city NNS cord-134344-sxno0tfd 156 11 at at IN cord-134344-sxno0tfd 156 12 different different JJ cord-134344-sxno0tfd 156 13 stages stage NNS cord-134344-sxno0tfd 156 14 of of IN cord-134344-sxno0tfd 156 15 the the DT cord-134344-sxno0tfd 156 16 pandemic pandemic NN cord-134344-sxno0tfd 156 17 . . . cord-134344-sxno0tfd 157 1 This this DT cord-134344-sxno0tfd 157 2 means mean VBZ cord-134344-sxno0tfd 157 3 that that IN cord-134344-sxno0tfd 157 4 studies study NNS cord-134344-sxno0tfd 157 5 such such JJ cord-134344-sxno0tfd 157 6 as as IN cord-134344-sxno0tfd 157 7 this this DT cord-134344-sxno0tfd 157 8 one one NN cord-134344-sxno0tfd 157 9 should should MD cord-134344-sxno0tfd 157 10 be be VB cord-134344-sxno0tfd 157 11 made make VBN cord-134344-sxno0tfd 157 12 locally locally RB cord-134344-sxno0tfd 157 13 to to IN cord-134344-sxno0tfd 157 14 best good JJS cord-134344-sxno0tfd 157 15 suit suit VB cord-134344-sxno0tfd 157 16 the the DT cord-134344-sxno0tfd 157 17 characteristics characteristic NNS cord-134344-sxno0tfd 157 18 of of IN cord-134344-sxno0tfd 157 19 each each DT cord-134344-sxno0tfd 157 20 city city NN cord-134344-sxno0tfd 157 21 . . . cord-134344-sxno0tfd 158 1 As as IN cord-134344-sxno0tfd 158 2 the the DT cord-134344-sxno0tfd 158 3 plots plot NNS cord-134344-sxno0tfd 158 4 of of IN cord-134344-sxno0tfd 158 5 Figure figure NN cord-134344-sxno0tfd 158 6 3 3 CD cord-134344-sxno0tfd 158 7 suggest suggest VBP cord-134344-sxno0tfd 158 8 , , , cord-134344-sxno0tfd 158 9 the the DT cord-134344-sxno0tfd 158 10 sooner soon RBR cord-134344-sxno0tfd 158 11 the the DT cord-134344-sxno0tfd 158 12 quarantine quarantine NN cord-134344-sxno0tfd 158 13 is be VBZ cord-134344-sxno0tfd 158 14 implemented implement VBN cord-134344-sxno0tfd 158 15 , , , cord-134344-sxno0tfd 158 16 the the DT cord-134344-sxno0tfd 158 17 shortest short JJS cord-134344-sxno0tfd 158 18 the the DT cord-134344-sxno0tfd 158 19 time time NN cord-134344-sxno0tfd 158 20 the the DT cord-134344-sxno0tfd 158 21 controls control NNS cord-134344-sxno0tfd 158 22 need need VBP cord-134344-sxno0tfd 158 23 to to TO cord-134344-sxno0tfd 158 24 stay stay VB cord-134344-sxno0tfd 158 25 at at IN cord-134344-sxno0tfd 158 26 their -PRON- PRP$ cord-134344-sxno0tfd 158 27 maximum maximum NN cord-134344-sxno0tfd 158 28 is be VBZ cord-134344-sxno0tfd 158 29 . . . cord-134344-sxno0tfd 159 1 Optimal optimal JJ cord-134344-sxno0tfd 159 2 control control NN cord-134344-sxno0tfd 159 3 of of IN cord-134344-sxno0tfd 159 4 deterministic deterministic JJ cord-134344-sxno0tfd 159 5 epidemics epidemic NNS cord-134344-sxno0tfd 159 6 Assessing assess VBG cord-134344-sxno0tfd 159 7 the the DT cord-134344-sxno0tfd 159 8 efficiency efficiency NN cord-134344-sxno0tfd 159 9 of of IN cord-134344-sxno0tfd 159 10 different different JJ cord-134344-sxno0tfd 159 11 control control NN cord-134344-sxno0tfd 159 12 strategies strategy NNS cord-134344-sxno0tfd 159 13 for for IN cord-134344-sxno0tfd 159 14 the the DT cord-134344-sxno0tfd 159 15 coronavirus coronavirus NN cord-134344-sxno0tfd 159 16 ( ( -LRB- cord-134344-sxno0tfd 159 17 covid-19 covid-19 NNP cord-134344-sxno0tfd 159 18 ) ) -RRB- cord-134344-sxno0tfd 159 19 epidemic epidemic NN cord-134344-sxno0tfd 160 1 Enfermedad Enfermedad NNP cord-134344-sxno0tfd 160 2 por por FW cord-134344-sxno0tfd 160 3 el el NNP cord-134344-sxno0tfd 160 4 coronavirus coronavirus NN cord-134344-sxno0tfd 160 5 ( ( -LRB- cord-134344-sxno0tfd 160 6 covid-19 covid-19 NNP cord-134344-sxno0tfd 160 7 ) ) -RRB- cord-134344-sxno0tfd 160 8 Optimal Optimal NNP cord-134344-sxno0tfd 160 9 covid-19 covid-19 NN cord-134344-sxno0tfd 160 10 epidemic epidemic JJ cord-134344-sxno0tfd 160 11 control control NN cord-134344-sxno0tfd 160 12 until until IN cord-134344-sxno0tfd 160 13 vaccine vaccine NN cord-134344-sxno0tfd 160 14 deployment deployment NN cord-134344-sxno0tfd 160 15 . . . cord-134344-sxno0tfd 161 1 medrxiv medrxiv NNP cord-134344-sxno0tfd 161 2 ( ( -LRB- cord-134344-sxno0tfd 161 3 2020 2020 CD cord-134344-sxno0tfd 161 4 ) ) -RRB- cord-134344-sxno0tfd 162 1 Impact impact NN cord-134344-sxno0tfd 162 2 of of IN cord-134344-sxno0tfd 162 3 nonpharmaceutical nonpharmaceutical JJ cord-134344-sxno0tfd 162 4 interventions intervention NNS cord-134344-sxno0tfd 162 5 ( ( -LRB- cord-134344-sxno0tfd 162 6 npis npis NNP cord-134344-sxno0tfd 162 7 ) ) -RRB- cord-134344-sxno0tfd 162 8 to to TO cord-134344-sxno0tfd 162 9 reduce reduce VB cord-134344-sxno0tfd 162 10 covid19 covid19 JJ cord-134344-sxno0tfd 162 11 mortality mortality NN cord-134344-sxno0tfd 162 12 and and CC cord-134344-sxno0tfd 163 1 healthcare healthcare NN cord-134344-sxno0tfd 163 2 demand demand NN cord-134344-sxno0tfd 163 3 Optimizing optimize VBG cord-134344-sxno0tfd 163 4 chemotherapy chemotherapy NN cord-134344-sxno0tfd 163 5 in in IN cord-134344-sxno0tfd 163 6 an an DT cord-134344-sxno0tfd 163 7 hiv hiv NNP cord-134344-sxno0tfd 163 8 model model NN cord-134344-sxno0tfd 163 9 Optimal Optimal NNP cord-134344-sxno0tfd 163 10 quarantine quarantine NN cord-134344-sxno0tfd 163 11 strategies strategy NNS cord-134344-sxno0tfd 163 12 for for IN cord-134344-sxno0tfd 163 13 covid-19 covid-19 JJ cord-134344-sxno0tfd 163 14 control control NN cord-134344-sxno0tfd 163 15 models model NNS cord-134344-sxno0tfd 164 1 Mathematical mathematical JJ cord-134344-sxno0tfd 164 2 analysis analysis NN cord-134344-sxno0tfd 164 3 of of IN cord-134344-sxno0tfd 164 4 an an DT cord-134344-sxno0tfd 164 5 age age NN cord-134344-sxno0tfd 164 6 - - HYPH cord-134344-sxno0tfd 164 7 structured structure VBN cord-134344-sxno0tfd 164 8 sir sir NN cord-134344-sxno0tfd 164 9 epidemic epidemic NN cord-134344-sxno0tfd 164 10 model model NN cord-134344-sxno0tfd 164 11 with with IN cord-134344-sxno0tfd 164 12 vertical vertical JJ cord-134344-sxno0tfd 164 13 transmission transmission NN cord-134344-sxno0tfd 164 14 Modeling model VBG cord-134344-sxno0tfd 164 15 the the DT cord-134344-sxno0tfd 164 16 control control NN cord-134344-sxno0tfd 164 17 of of IN cord-134344-sxno0tfd 165 1 covid-19 covid-19 LS cord-134344-sxno0tfd 165 2 : : : cord-134344-sxno0tfd 165 3 Impact impact NN cord-134344-sxno0tfd 165 4 of of IN cord-134344-sxno0tfd 165 5 policy policy NN cord-134344-sxno0tfd 165 6 interventions intervention NNS cord-134344-sxno0tfd 165 7 and and CC cord-134344-sxno0tfd 165 8 meteorological meteorological JJ cord-134344-sxno0tfd 165 9 factors factor NNS cord-134344-sxno0tfd 166 1 Optimal optimal JJ cord-134344-sxno0tfd 166 2 control control NN cord-134344-sxno0tfd 166 3 of of IN cord-134344-sxno0tfd 166 4 an an DT cord-134344-sxno0tfd 166 5 hiv hiv NNP cord-134344-sxno0tfd 166 6 immunology immunology NNP cord-134344-sxno0tfd 166 7 model model NN cord-134344-sxno0tfd 166 8 Optimal Optimal NNP cord-134344-sxno0tfd 166 9 control control NN cord-134344-sxno0tfd 166 10 methods method NNS cord-134344-sxno0tfd 166 11 applied apply VBN cord-134344-sxno0tfd 166 12 to to IN cord-134344-sxno0tfd 166 13 disease disease NN cord-134344-sxno0tfd 166 14 models model NNS cord-134344-sxno0tfd 166 15 Optimal Optimal NNP cord-134344-sxno0tfd 166 16 control control NN cord-134344-sxno0tfd 166 17 of of IN cord-134344-sxno0tfd 166 18 treatments treatment NNS cord-134344-sxno0tfd 166 19 in in IN cord-134344-sxno0tfd 166 20 a a DT cord-134344-sxno0tfd 166 21 two two CD cord-134344-sxno0tfd 166 22 - - HYPH cord-134344-sxno0tfd 166 23 strain strain NN cord-134344-sxno0tfd 166 24 tuberculosis tuberculosis NN cord-134344-sxno0tfd 166 25 model model NN cord-134344-sxno0tfd 166 26 Optimal Optimal NNP cord-134344-sxno0tfd 166 27 control control NN cord-134344-sxno0tfd 166 28 of of IN cord-134344-sxno0tfd 166 29 the the DT cord-134344-sxno0tfd 166 30 chemotherapy chemotherapy NN cord-134344-sxno0tfd 166 31 of of IN cord-134344-sxno0tfd 166 32 hiv hiv NNP cord-134344-sxno0tfd 167 1 The the DT cord-134344-sxno0tfd 167 2 incubation incubation NN cord-134344-sxno0tfd 167 3 period period NN cord-134344-sxno0tfd 167 4 of of IN cord-134344-sxno0tfd 167 5 coronavirus coronavirus NN cord-134344-sxno0tfd 167 6 disease disease NN cord-134344-sxno0tfd 167 7 2019 2019 CD cord-134344-sxno0tfd 167 8 ( ( -LRB- cord-134344-sxno0tfd 167 9 covid-19 covid-19 NNP cord-134344-sxno0tfd 167 10 ) ) -RRB- cord-134344-sxno0tfd 167 11 from from IN cord-134344-sxno0tfd 167 12 publicly publicly RB cord-134344-sxno0tfd 167 13 reported report VBN cord-134344-sxno0tfd 167 14 confirmed confirm VBN cord-134344-sxno0tfd 167 15 cases case NNS cord-134344-sxno0tfd 167 16 : : : cord-134344-sxno0tfd 167 17 estimation estimation NN cord-134344-sxno0tfd 167 18 and and CC cord-134344-sxno0tfd 167 19 application application NN cord-134344-sxno0tfd 167 20 Optimal Optimal NNP cord-134344-sxno0tfd 167 21 control control NN cord-134344-sxno0tfd 167 22 for for IN cord-134344-sxno0tfd 167 23 pandemic pandemic NN cord-134344-sxno0tfd 167 24 influenza influenza NN cord-134344-sxno0tfd 167 25 : : : cord-134344-sxno0tfd 167 26 the the DT cord-134344-sxno0tfd 167 27 role role NN cord-134344-sxno0tfd 167 28 of of IN cord-134344-sxno0tfd 167 29 limited limited JJ cord-134344-sxno0tfd 167 30 antiviral antiviral JJ cord-134344-sxno0tfd 167 31 treatment treatment NN cord-134344-sxno0tfd 167 32 and and CC cord-134344-sxno0tfd 167 33 isolation isolation NN cord-134344-sxno0tfd 167 34 Optimal Optimal NNP cord-134344-sxno0tfd 167 35 control control NN cord-134344-sxno0tfd 167 36 applied apply VBD cord-134344-sxno0tfd 167 37 to to IN cord-134344-sxno0tfd 167 38 biological biological JJ cord-134344-sxno0tfd 167 39 models model NNS cord-134344-sxno0tfd 168 1 An an DT cord-134344-sxno0tfd 168 2 introduction introduction NN cord-134344-sxno0tfd 168 3 to to IN cord-134344-sxno0tfd 168 4 mathematical mathematical JJ cord-134344-sxno0tfd 168 5 epidemiology epidemiology NN cord-134344-sxno0tfd 168 6 Optimal Optimal NNP cord-134344-sxno0tfd 168 7 control control NN cord-134344-sxno0tfd 168 8 of of IN cord-134344-sxno0tfd 168 9 non non JJ cord-134344-sxno0tfd 168 10 - - JJ cord-134344-sxno0tfd 168 11 autonomous autonomous JJ cord-134344-sxno0tfd 168 12 seirs seir NNS cord-134344-sxno0tfd 168 13 models model NNS cord-134344-sxno0tfd 168 14 with with IN cord-134344-sxno0tfd 168 15 vaccination vaccination NN cord-134344-sxno0tfd 168 16 and and CC cord-134344-sxno0tfd 168 17 treatment treatment NN cord-134344-sxno0tfd 168 18 Mathematical mathematical JJ cord-134344-sxno0tfd 168 19 theory theory NN cord-134344-sxno0tfd 168 20 of of IN cord-134344-sxno0tfd 168 21 optimal optimal JJ cord-134344-sxno0tfd 168 22 processes process NNS cord-134344-sxno0tfd 168 23 Using use VBG cord-134344-sxno0tfd 168 24 a a DT cord-134344-sxno0tfd 168 25 delay delay NN cord-134344-sxno0tfd 168 26 adjusted adjust VBN cord-134344-sxno0tfd 168 27 case case NN cord-134344-sxno0tfd 168 28 fatality fatality NN cord-134344-sxno0tfd 168 29 ratio ratio NN cord-134344-sxno0tfd 168 30 to to TO cord-134344-sxno0tfd 168 31 estimate estimate VB cord-134344-sxno0tfd 168 32 under under IN cord-134344-sxno0tfd 168 33 reporting report VBG cord-134344-sxno0tfd 168 34 Optimal Optimal NNP cord-134344-sxno0tfd 168 35 control control NN cord-134344-sxno0tfd 168 36 for for IN cord-134344-sxno0tfd 168 37 a a DT cord-134344-sxno0tfd 168 38 tuberculosis tuberculosis NN cord-134344-sxno0tfd 168 39 model model NN cord-134344-sxno0tfd 168 40 with with IN cord-134344-sxno0tfd 168 41 reinfection reinfection NN cord-134344-sxno0tfd 168 42 and and CC cord-134344-sxno0tfd 168 43 post post JJ cord-134344-sxno0tfd 168 44 - - JJ cord-134344-sxno0tfd 168 45 exposure exposure JJ cord-134344-sxno0tfd 168 46 interventions intervention NNS cord-134344-sxno0tfd 168 47 Disease Disease NNP cord-134344-sxno0tfd 168 48 extinction extinction NN cord-134344-sxno0tfd 168 49 and and CC cord-134344-sxno0tfd 168 50 disease disease NN cord-134344-sxno0tfd 168 51 persistence persistence NN cord-134344-sxno0tfd 168 52 in in IN cord-134344-sxno0tfd 168 53 age age NN cord-134344-sxno0tfd 168 54 structured structured JJ cord-134344-sxno0tfd 168 55 epidemic epidemic NN cord-134344-sxno0tfd 168 56 models model NNS cord-134344-sxno0tfd 169 1 Nowcasting nowcaste VBG cord-134344-sxno0tfd 169 2 and and CC cord-134344-sxno0tfd 169 3 forecasting forecast VBG cord-134344-sxno0tfd 169 4 the the DT cord-134344-sxno0tfd 169 5 potential potential JJ cord-134344-sxno0tfd 169 6 domestic domestic JJ cord-134344-sxno0tfd 169 7 and and CC cord-134344-sxno0tfd 169 8 international international JJ cord-134344-sxno0tfd 169 9 spread spread NN cord-134344-sxno0tfd 169 10 of of IN cord-134344-sxno0tfd 169 11 the the DT cord-134344-sxno0tfd 169 12 2019-ncov 2019-ncov CD cord-134344-sxno0tfd 169 13 outbreak outbreak NN cord-134344-sxno0tfd 169 14 originating originate VBG cord-134344-sxno0tfd 169 15 in in IN cord-134344-sxno0tfd 169 16 wuhan wuhan NNP cord-134344-sxno0tfd 169 17 , , , cord-134344-sxno0tfd 169 18 china china NNP cord-134344-sxno0tfd 169 19 : : : cord-134344-sxno0tfd 169 20 a a DT cord-134344-sxno0tfd 169 21 modelling modelling NN cord-134344-sxno0tfd 169 22 study study NN cord-134344-sxno0tfd 169 23 Global global JJ cord-134344-sxno0tfd 169 24 dynamics dynamic NNS cord-134344-sxno0tfd 169 25 of of IN cord-134344-sxno0tfd 169 26 a a DT cord-134344-sxno0tfd 169 27 discrete discrete JJ cord-134344-sxno0tfd 169 28 age age NN cord-134344-sxno0tfd 169 29 - - HYPH cord-134344-sxno0tfd 169 30 structured structure VBN cord-134344-sxno0tfd 169 31 sir sir NN cord-134344-sxno0tfd 169 32 epidemic epidemic NN cord-134344-sxno0tfd 169 33 model model NN cord-134344-sxno0tfd 169 34 with with IN cord-134344-sxno0tfd 169 35 applications application NNS cord-134344-sxno0tfd 169 36 to to IN cord-134344-sxno0tfd 169 37 measles measles NN cord-134344-sxno0tfd 169 38 vaccination vaccination NN cord-134344-sxno0tfd 169 39 strategies strategy NNS cord-134344-sxno0tfd 169 40 Dynamics dynamic NNS cord-134344-sxno0tfd 169 41 of of IN cord-134344-sxno0tfd 169 42 a a DT cord-134344-sxno0tfd 169 43 discrete discrete JJ cord-134344-sxno0tfd 169 44 age age NN cord-134344-sxno0tfd 169 45 - - HYPH cord-134344-sxno0tfd 169 46 structured structure VBN cord-134344-sxno0tfd 169 47 sis sis NN cord-134344-sxno0tfd 169 48 models model NNS cord-134344-sxno0tfd 169 49 E e NN cord-134344-sxno0tfd 169 50 - - NN cord-134344-sxno0tfd 169 51 mail mail NN cord-134344-sxno0tfd 169 52 address address NN cord-134344-sxno0tfd 169 53 : : : cord-134344-sxno0tfd 169 54 joao.gondim@ufrpe.br joao.gondim@ufrpe.br . cord-134344-sxno0tfd 170 1 The the DT cord-134344-sxno0tfd 170 2 authors author NNS cord-134344-sxno0tfd 170 3 would would MD cord-134344-sxno0tfd 170 4 like like VB cord-134344-sxno0tfd 170 5 to to TO cord-134344-sxno0tfd 170 6 thank thank VB cord-134344-sxno0tfd 170 7 César César NNP cord-134344-sxno0tfd 170 8 Castilho Castilho NNP cord-134344-sxno0tfd 170 9 ( ( -LRB- cord-134344-sxno0tfd 170 10 UFPE UFPE NNP cord-134344-sxno0tfd 170 11 ) ) -RRB- cord-134344-sxno0tfd 170 12 for for IN cord-134344-sxno0tfd 170 13 all all PDT cord-134344-sxno0tfd 170 14 the the DT cord-134344-sxno0tfd 170 15 valuable valuable JJ cord-134344-sxno0tfd 170 16 discussions discussion NNS cord-134344-sxno0tfd 170 17 and and CC cord-134344-sxno0tfd 170 18 suggestions suggestion NNS cord-134344-sxno0tfd 170 19 during during IN cord-134344-sxno0tfd 170 20 the the DT cord-134344-sxno0tfd 170 21 preparation preparation NN cord-134344-sxno0tfd 170 22 of of IN cord-134344-sxno0tfd 170 23 this this DT cord-134344-sxno0tfd 170 24 manuscript manuscript NN cord-134344-sxno0tfd 170 25 . . .