id sid tid token lemma pos cord-004073-k6ad4qgu 1 1 key key JJ cord-004073-k6ad4qgu 1 2 : : : cord-004073-k6ad4qgu 1 3 cord-004073-k6ad4qgu cord-004073-k6ad4qgu CD cord-004073-k6ad4qgu 1 4 authors author NNS cord-004073-k6ad4qgu 1 5 : : : cord-004073-k6ad4qgu 1 6 Kabir Kabir NNP cord-004073-k6ad4qgu 1 7 , , , cord-004073-k6ad4qgu 1 8 K. K. NNP cord-004073-k6ad4qgu 1 9 M. M. NNP cord-004073-k6ad4qgu 1 10 Ariful Ariful NNP cord-004073-k6ad4qgu 1 11 ; ; : cord-004073-k6ad4qgu 1 12 Tanimoto Tanimoto NNP cord-004073-k6ad4qgu 1 13 , , , cord-004073-k6ad4qgu 1 14 Jun Jun NNP cord-004073-k6ad4qgu 1 15 title title NN cord-004073-k6ad4qgu 1 16 : : : cord-004073-k6ad4qgu 1 17 Modelling modelling NN cord-004073-k6ad4qgu 1 18 and and CC cord-004073-k6ad4qgu 1 19 analysing analyse VBG cord-004073-k6ad4qgu 1 20 the the DT cord-004073-k6ad4qgu 1 21 coexistence coexistence NN cord-004073-k6ad4qgu 1 22 of of IN cord-004073-k6ad4qgu 1 23 dual dual JJ cord-004073-k6ad4qgu 1 24 dilemmas dilemma NNS cord-004073-k6ad4qgu 1 25 in in IN cord-004073-k6ad4qgu 1 26 the the DT cord-004073-k6ad4qgu 1 27 proactive proactive JJ cord-004073-k6ad4qgu 1 28 vaccination vaccination NN cord-004073-k6ad4qgu 1 29 game game NN cord-004073-k6ad4qgu 1 30 and and CC cord-004073-k6ad4qgu 1 31 retroactive retroactive JJ cord-004073-k6ad4qgu 1 32 treatment treatment NN cord-004073-k6ad4qgu 1 33 game game NN cord-004073-k6ad4qgu 1 34 in in IN cord-004073-k6ad4qgu 1 35 epidemic epidemic JJ cord-004073-k6ad4qgu 1 36 viral viral JJ cord-004073-k6ad4qgu 1 37 dynamics dynamic NNS cord-004073-k6ad4qgu 1 38 date date NN cord-004073-k6ad4qgu 1 39 : : : cord-004073-k6ad4qgu 1 40 2019 2019 CD cord-004073-k6ad4qgu 1 41 - - HYPH cord-004073-k6ad4qgu 1 42 12 12 CD cord-004073-k6ad4qgu 1 43 - - HYPH cord-004073-k6ad4qgu 1 44 04 04 CD cord-004073-k6ad4qgu 1 45 journal journal NN cord-004073-k6ad4qgu 1 46 : : : cord-004073-k6ad4qgu 2 1 Proc proc NN cord-004073-k6ad4qgu 2 2 Math Math NNP cord-004073-k6ad4qgu 2 3 Phys phys NN cord-004073-k6ad4qgu 2 4 Eng Eng NNP cord-004073-k6ad4qgu 3 1 Sci Sci NNP cord-004073-k6ad4qgu 3 2 DOI DOI NNP cord-004073-k6ad4qgu 4 1 : : : cord-004073-k6ad4qgu 4 2 10.1098 10.1098 CD cord-004073-k6ad4qgu 4 3 / / SYM cord-004073-k6ad4qgu 4 4 rspa.2019.0484 rspa.2019.0484 CD cord-004073-k6ad4qgu 4 5 sha sha NNP cord-004073-k6ad4qgu 4 6 : : : cord-004073-k6ad4qgu 5 1 3ebd75fd49d3a3c223e75574a2846b492b8f26e6 3ebd75fd49d3a3c223e75574a2846b492b8f26e6 CD cord-004073-k6ad4qgu 5 2 doc_id doc_id CD cord-004073-k6ad4qgu 6 1 : : : cord-004073-k6ad4qgu 6 2 4073 4073 CD cord-004073-k6ad4qgu 6 3 cord_uid cord_uid NNS cord-004073-k6ad4qgu 6 4 : : : cord-004073-k6ad4qgu 7 1 k6ad4qgu k6ad4qgu LS cord-004073-k6ad4qgu 8 1 The the DT cord-004073-k6ad4qgu 8 2 dynamics dynamic NNS cord-004073-k6ad4qgu 8 3 of of IN cord-004073-k6ad4qgu 8 4 a a DT cord-004073-k6ad4qgu 8 5 spreadable spreadable JJ cord-004073-k6ad4qgu 8 6 disease disease NN cord-004073-k6ad4qgu 8 7 are be VBP cord-004073-k6ad4qgu 8 8 largely largely RB cord-004073-k6ad4qgu 8 9 governed govern VBN cord-004073-k6ad4qgu 8 10 by by IN cord-004073-k6ad4qgu 8 11 four four CD cord-004073-k6ad4qgu 8 12 factors factor NNS cord-004073-k6ad4qgu 8 13 : : : cord-004073-k6ad4qgu 8 14 proactive proactive JJ cord-004073-k6ad4qgu 8 15 vaccination vaccination NN cord-004073-k6ad4qgu 8 16 , , , cord-004073-k6ad4qgu 8 17 retroactive retroactive JJ cord-004073-k6ad4qgu 8 18 treatment treatment NN cord-004073-k6ad4qgu 8 19 , , , cord-004073-k6ad4qgu 8 20 individual individual JJ cord-004073-k6ad4qgu 8 21 decisions decision NNS cord-004073-k6ad4qgu 8 22 , , , cord-004073-k6ad4qgu 8 23 and and CC cord-004073-k6ad4qgu 8 24 the the DT cord-004073-k6ad4qgu 8 25 prescribing prescribe VBG cord-004073-k6ad4qgu 8 26 behaviour behaviour NN cord-004073-k6ad4qgu 8 27 of of IN cord-004073-k6ad4qgu 8 28 physicians physician NNS cord-004073-k6ad4qgu 8 29 . . . cord-004073-k6ad4qgu 9 1 Under under IN cord-004073-k6ad4qgu 9 2 the the DT cord-004073-k6ad4qgu 9 3 imposed impose VBN cord-004073-k6ad4qgu 9 4 vaccination vaccination NN cord-004073-k6ad4qgu 9 5 policy policy NN cord-004073-k6ad4qgu 9 6 and and CC cord-004073-k6ad4qgu 9 7 antiviral antiviral JJ cord-004073-k6ad4qgu 9 8 treatment treatment NN cord-004073-k6ad4qgu 9 9 in in IN cord-004073-k6ad4qgu 9 10 society society NN cord-004073-k6ad4qgu 9 11 , , , cord-004073-k6ad4qgu 9 12 complex complex JJ cord-004073-k6ad4qgu 9 13 factors factor NNS cord-004073-k6ad4qgu 9 14 ( ( -LRB- cord-004073-k6ad4qgu 9 15 costs cost NNS cord-004073-k6ad4qgu 9 16 and and CC cord-004073-k6ad4qgu 9 17 expected expect VBN cord-004073-k6ad4qgu 9 18 effects effect NNS cord-004073-k6ad4qgu 9 19 of of IN cord-004073-k6ad4qgu 9 20 the the DT cord-004073-k6ad4qgu 9 21 vaccines vaccine NNS cord-004073-k6ad4qgu 9 22 and and CC cord-004073-k6ad4qgu 9 23 treatments treatment NNS cord-004073-k6ad4qgu 9 24 , , , cord-004073-k6ad4qgu 9 25 and and CC cord-004073-k6ad4qgu 9 26 fear fear NN cord-004073-k6ad4qgu 9 27 of of IN cord-004073-k6ad4qgu 9 28 being be VBG cord-004073-k6ad4qgu 9 29 infected infect VBN cord-004073-k6ad4qgu 9 30 ) ) -RRB- cord-004073-k6ad4qgu 9 31 trigger trigger VB cord-004073-k6ad4qgu 9 32 an an DT cord-004073-k6ad4qgu 9 33 emulous emulous JJ cord-004073-k6ad4qgu 9 34 situation situation NN cord-004073-k6ad4qgu 9 35 in in IN cord-004073-k6ad4qgu 9 36 which which WDT cord-004073-k6ad4qgu 9 37 individuals individual NNS cord-004073-k6ad4qgu 9 38 avoid avoid VBP cord-004073-k6ad4qgu 9 39 infection infection NN cord-004073-k6ad4qgu 9 40 by by IN cord-004073-k6ad4qgu 9 41 the the DT cord-004073-k6ad4qgu 9 42 pre pre JJ cord-004073-k6ad4qgu 9 43 - - JJ cord-004073-k6ad4qgu 9 44 emptive emptive JJ cord-004073-k6ad4qgu 9 45 or or CC cord-004073-k6ad4qgu 9 46 ex ex FW cord-004073-k6ad4qgu 9 47 post post NN cord-004073-k6ad4qgu 9 48 provision provision NN cord-004073-k6ad4qgu 9 49 . . . cord-004073-k6ad4qgu 10 1 Aside aside RB cord-004073-k6ad4qgu 10 2 from from IN cord-004073-k6ad4qgu 10 3 the the DT cord-004073-k6ad4qgu 10 4 established establish VBN cord-004073-k6ad4qgu 10 5 voluntary voluntary JJ cord-004073-k6ad4qgu 10 6 vaccination vaccination NN cord-004073-k6ad4qgu 10 7 game game NN cord-004073-k6ad4qgu 10 8 , , , cord-004073-k6ad4qgu 10 9 we -PRON- PRP cord-004073-k6ad4qgu 10 10 propose propose VBP cord-004073-k6ad4qgu 10 11 a a DT cord-004073-k6ad4qgu 10 12 treatment treatment NN cord-004073-k6ad4qgu 10 13 game game NN cord-004073-k6ad4qgu 10 14 model model NN cord-004073-k6ad4qgu 10 15 associated associate VBN cord-004073-k6ad4qgu 10 16 with with IN cord-004073-k6ad4qgu 10 17 the the DT cord-004073-k6ad4qgu 10 18 resistance resistance NN cord-004073-k6ad4qgu 10 19 evolution evolution NN cord-004073-k6ad4qgu 10 20 of of IN cord-004073-k6ad4qgu 10 21 antiviral antiviral JJ cord-004073-k6ad4qgu 10 22 / / SYM cord-004073-k6ad4qgu 10 23 antibiotic antibiotic JJ cord-004073-k6ad4qgu 10 24 overuse overuse NN cord-004073-k6ad4qgu 10 25 . . . cord-004073-k6ad4qgu 11 1 Moreover moreover RB cord-004073-k6ad4qgu 11 2 , , , cord-004073-k6ad4qgu 11 3 the the DT cord-004073-k6ad4qgu 11 4 imperfectness imperfectness NN cord-004073-k6ad4qgu 11 5 of of IN cord-004073-k6ad4qgu 11 6 vaccinations vaccination NNS cord-004073-k6ad4qgu 11 7 has have VBZ cord-004073-k6ad4qgu 11 8 inevitably inevitably RB cord-004073-k6ad4qgu 11 9 led lead VBN cord-004073-k6ad4qgu 11 10 to to IN cord-004073-k6ad4qgu 11 11 anti anti JJ cord-004073-k6ad4qgu 11 12 - - JJ cord-004073-k6ad4qgu 11 13 vaccine vaccine JJ cord-004073-k6ad4qgu 11 14 behaviour behaviour NN cord-004073-k6ad4qgu 11 15 , , , cord-004073-k6ad4qgu 11 16 necessitating necessitate VBG cord-004073-k6ad4qgu 11 17 a a DT cord-004073-k6ad4qgu 11 18 proactive proactive JJ cord-004073-k6ad4qgu 11 19 treatment treatment NN cord-004073-k6ad4qgu 11 20 policy policy NN cord-004073-k6ad4qgu 11 21 . . . cord-004073-k6ad4qgu 12 1 However however RB cord-004073-k6ad4qgu 12 2 , , , cord-004073-k6ad4qgu 12 3 under under IN cord-004073-k6ad4qgu 12 4 the the DT cord-004073-k6ad4qgu 12 5 excessively excessively RB cord-004073-k6ad4qgu 12 6 heavy heavy JJ cord-004073-k6ad4qgu 12 7 implementation implementation NN cord-004073-k6ad4qgu 12 8 of of IN cord-004073-k6ad4qgu 12 9 treatments treatment NNS cord-004073-k6ad4qgu 12 10 such such JJ cord-004073-k6ad4qgu 12 11 as as IN cord-004073-k6ad4qgu 12 12 antiviral antiviral JJ cord-004073-k6ad4qgu 12 13 medicine medicine NN cord-004073-k6ad4qgu 12 14 , , , cord-004073-k6ad4qgu 12 15 resistant resistant JJ cord-004073-k6ad4qgu 12 16 strains strain NNS cord-004073-k6ad4qgu 12 17 emerge emerge VBP cord-004073-k6ad4qgu 12 18 . . . cord-004073-k6ad4qgu 13 1 The the DT cord-004073-k6ad4qgu 13 2 model model NN cord-004073-k6ad4qgu 13 3 explicitly explicitly RB cord-004073-k6ad4qgu 13 4 exhibits exhibit VBZ cord-004073-k6ad4qgu 13 5 a a DT cord-004073-k6ad4qgu 13 6 dual dual JJ cord-004073-k6ad4qgu 13 7 social social JJ cord-004073-k6ad4qgu 13 8 dilemma dilemma NN cord-004073-k6ad4qgu 13 9 situation situation NN cord-004073-k6ad4qgu 13 10 , , , cord-004073-k6ad4qgu 13 11 in in IN cord-004073-k6ad4qgu 13 12 which which WDT cord-004073-k6ad4qgu 13 13 the the DT cord-004073-k6ad4qgu 13 14 treatment treatment NN cord-004073-k6ad4qgu 13 15 behaviour behaviour NN cord-004073-k6ad4qgu 13 16 changes change VBZ cord-004073-k6ad4qgu 13 17 on on IN cord-004073-k6ad4qgu 13 18 a a DT cord-004073-k6ad4qgu 13 19 local local JJ cord-004073-k6ad4qgu 13 20 time time NN cord-004073-k6ad4qgu 13 21 scale scale NN cord-004073-k6ad4qgu 13 22 , , , cord-004073-k6ad4qgu 13 23 and and CC cord-004073-k6ad4qgu 13 24 the the DT cord-004073-k6ad4qgu 13 25 vaccination vaccination NN cord-004073-k6ad4qgu 13 26 uptake uptake NN cord-004073-k6ad4qgu 13 27 later later RB cord-004073-k6ad4qgu 13 28 evolves evolve VBZ cord-004073-k6ad4qgu 13 29 on on IN cord-004073-k6ad4qgu 13 30 a a DT cord-004073-k6ad4qgu 13 31 global global JJ cord-004073-k6ad4qgu 13 32 time time NN cord-004073-k6ad4qgu 13 33 scale scale NN cord-004073-k6ad4qgu 13 34 . . . cord-004073-k6ad4qgu 14 1 The the DT cord-004073-k6ad4qgu 14 2 impact impact NN cord-004073-k6ad4qgu 14 3 of of IN cord-004073-k6ad4qgu 14 4 resistance resistance NN cord-004073-k6ad4qgu 14 5 evolution evolution NN cord-004073-k6ad4qgu 14 6 and and CC cord-004073-k6ad4qgu 14 7 the the DT cord-004073-k6ad4qgu 14 8 coexistence coexistence NN cord-004073-k6ad4qgu 14 9 of of IN cord-004073-k6ad4qgu 14 10 dual dual JJ cord-004073-k6ad4qgu 14 11 dilemmas dilemma NNS cord-004073-k6ad4qgu 14 12 are be VBP cord-004073-k6ad4qgu 14 13 investigated investigate VBN cord-004073-k6ad4qgu 14 14 by by IN cord-004073-k6ad4qgu 14 15 the the DT cord-004073-k6ad4qgu 14 16 control control NN cord-004073-k6ad4qgu 14 17 reproduction reproduction NN cord-004073-k6ad4qgu 14 18 number number NN cord-004073-k6ad4qgu 14 19 and and CC cord-004073-k6ad4qgu 14 20 the the DT cord-004073-k6ad4qgu 14 21 social social JJ cord-004073-k6ad4qgu 14 22 efficiency efficiency NN cord-004073-k6ad4qgu 14 23 deficit deficit NN cord-004073-k6ad4qgu 14 24 , , , cord-004073-k6ad4qgu 14 25 respectively respectively RB cord-004073-k6ad4qgu 14 26 . . . cord-004073-k6ad4qgu 15 1 Our -PRON- PRP$ cord-004073-k6ad4qgu 15 2 investigation investigation NN cord-004073-k6ad4qgu 15 3 might may MD cord-004073-k6ad4qgu 15 4 elucidate elucidate VB cord-004073-k6ad4qgu 15 5 the the DT cord-004073-k6ad4qgu 15 6 substantial substantial JJ cord-004073-k6ad4qgu 15 7 impacts impact NNS cord-004073-k6ad4qgu 15 8 of of IN cord-004073-k6ad4qgu 15 9 both both DT cord-004073-k6ad4qgu 15 10 vaccination vaccination NN cord-004073-k6ad4qgu 15 11 and and CC cord-004073-k6ad4qgu 15 12 treatment treatment NN cord-004073-k6ad4qgu 15 13 in in IN cord-004073-k6ad4qgu 15 14 the the DT cord-004073-k6ad4qgu 15 15 framework framework NN cord-004073-k6ad4qgu 15 16 of of IN cord-004073-k6ad4qgu 15 17 epidemic epidemic NN cord-004073-k6ad4qgu 15 18 dynamics dynamic NNS cord-004073-k6ad4qgu 15 19 , , , cord-004073-k6ad4qgu 15 20 and and CC cord-004073-k6ad4qgu 15 21 hence hence RB cord-004073-k6ad4qgu 15 22 suggest suggest VBP cord-004073-k6ad4qgu 15 23 the the DT cord-004073-k6ad4qgu 15 24 appropriate appropriate JJ cord-004073-k6ad4qgu 15 25 use use NN cord-004073-k6ad4qgu 15 26 of of IN cord-004073-k6ad4qgu 15 27 antiviral antiviral JJ cord-004073-k6ad4qgu 15 28 treatment treatment NN cord-004073-k6ad4qgu 15 29 . . . cord-004073-k6ad4qgu 16 1 The the DT cord-004073-k6ad4qgu 16 2 dynamics dynamic NNS cord-004073-k6ad4qgu 16 3 of of IN cord-004073-k6ad4qgu 16 4 a a DT cord-004073-k6ad4qgu 16 5 spreadable spreadable JJ cord-004073-k6ad4qgu 16 6 disease disease NN cord-004073-k6ad4qgu 16 7 are be VBP cord-004073-k6ad4qgu 16 8 largely largely RB cord-004073-k6ad4qgu 16 9 governed govern VBN cord-004073-k6ad4qgu 16 10 by by IN cord-004073-k6ad4qgu 16 11 four four CD cord-004073-k6ad4qgu 16 12 factors factor NNS cord-004073-k6ad4qgu 16 13 : : : cord-004073-k6ad4qgu 16 14 proactive proactive JJ cord-004073-k6ad4qgu 16 15 vaccination vaccination NN cord-004073-k6ad4qgu 16 16 , , , cord-004073-k6ad4qgu 16 17 retroactive retroactive JJ cord-004073-k6ad4qgu 16 18 treatment treatment NN cord-004073-k6ad4qgu 16 19 , , , cord-004073-k6ad4qgu 16 20 individual individual JJ cord-004073-k6ad4qgu 16 21 decisions decision NNS cord-004073-k6ad4qgu 16 22 , , , cord-004073-k6ad4qgu 16 23 and and CC cord-004073-k6ad4qgu 16 24 the the DT cord-004073-k6ad4qgu 16 25 prescribing prescribe VBG cord-004073-k6ad4qgu 16 26 behaviour behaviour NN cord-004073-k6ad4qgu 16 27 of of IN cord-004073-k6ad4qgu 16 28 physicians physician NNS cord-004073-k6ad4qgu 16 29 . . . cord-004073-k6ad4qgu 17 1 Under under IN cord-004073-k6ad4qgu 17 2 the the DT cord-004073-k6ad4qgu 17 3 imposed impose VBN cord-004073-k6ad4qgu 17 4 vaccination vaccination NN cord-004073-k6ad4qgu 17 5 policy policy NN cord-004073-k6ad4qgu 17 6 and and CC cord-004073-k6ad4qgu 17 7 antiviral antiviral JJ cord-004073-k6ad4qgu 17 8 treatment treatment NN cord-004073-k6ad4qgu 17 9 in in IN cord-004073-k6ad4qgu 17 10 society society NN cord-004073-k6ad4qgu 17 11 , , , cord-004073-k6ad4qgu 17 12 complex complex JJ cord-004073-k6ad4qgu 17 13 factors factor NNS cord-004073-k6ad4qgu 17 14 ( ( -LRB- cord-004073-k6ad4qgu 17 15 costs cost NNS cord-004073-k6ad4qgu 17 16 and and CC cord-004073-k6ad4qgu 17 17 expected expect VBN cord-004073-k6ad4qgu 17 18 effects effect NNS cord-004073-k6ad4qgu 17 19 of of IN cord-004073-k6ad4qgu 17 20 the the DT cord-004073-k6ad4qgu 17 21 vaccines vaccine NNS cord-004073-k6ad4qgu 17 22 and and CC cord-004073-k6ad4qgu 17 23 treatments treatment NNS cord-004073-k6ad4qgu 17 24 , , , cord-004073-k6ad4qgu 17 25 and and CC cord-004073-k6ad4qgu 17 26 fear fear NN cord-004073-k6ad4qgu 17 27 of of IN cord-004073-k6ad4qgu 17 28 being be VBG cord-004073-k6ad4qgu 17 29 infected infect VBN cord-004073-k6ad4qgu 17 30 ) ) -RRB- cord-004073-k6ad4qgu 17 31 trigger trigger VB cord-004073-k6ad4qgu 17 32 an an DT cord-004073-k6ad4qgu 17 33 emulous emulous JJ cord-004073-k6ad4qgu 17 34 situation situation NN cord-004073-k6ad4qgu 17 35 in in IN cord-004073-k6ad4qgu 17 36 which which WDT cord-004073-k6ad4qgu 17 37 individuals individual NNS cord-004073-k6ad4qgu 17 38 avoid avoid VBP cord-004073-k6ad4qgu 17 39 infection infection NN cord-004073-k6ad4qgu 17 40 by by IN cord-004073-k6ad4qgu 17 41 the the DT cord-004073-k6ad4qgu 17 42 pre pre JJ cord-004073-k6ad4qgu 17 43 - - JJ cord-004073-k6ad4qgu 17 44 emptive emptive JJ cord-004073-k6ad4qgu 17 45 or or CC cord-004073-k6ad4qgu 17 46 ex ex FW cord-004073-k6ad4qgu 17 47 post post NN cord-004073-k6ad4qgu 17 48 provision provision NN cord-004073-k6ad4qgu 17 49 . . . cord-004073-k6ad4qgu 18 1 Aside aside RB cord-004073-k6ad4qgu 18 2 from from IN cord-004073-k6ad4qgu 18 3 the the DT cord-004073-k6ad4qgu 18 4 established establish VBN cord-004073-k6ad4qgu 18 5 voluntary voluntary JJ cord-004073-k6ad4qgu 18 6 vaccination vaccination NN cord-004073-k6ad4qgu 18 7 game game NN cord-004073-k6ad4qgu 18 8 , , , cord-004073-k6ad4qgu 18 9 we -PRON- PRP cord-004073-k6ad4qgu 18 10 propose propose VBP cord-004073-k6ad4qgu 18 11 a a DT cord-004073-k6ad4qgu 18 12 treatment treatment NN cord-004073-k6ad4qgu 18 13 game game NN cord-004073-k6ad4qgu 18 14 model model NN cord-004073-k6ad4qgu 18 15 associated associate VBN cord-004073-k6ad4qgu 18 16 with with IN cord-004073-k6ad4qgu 18 17 the the DT cord-004073-k6ad4qgu 18 18 resistance resistance NN cord-004073-k6ad4qgu 18 19 evolution evolution NN cord-004073-k6ad4qgu 18 20 of of IN cord-004073-k6ad4qgu 18 21 antiviral antiviral JJ cord-004073-k6ad4qgu 18 22 / / SYM cord-004073-k6ad4qgu 18 23 antibiotic antibiotic JJ cord-004073-k6ad4qgu 18 24 overuse overuse NN cord-004073-k6ad4qgu 18 25 . . . cord-004073-k6ad4qgu 19 1 Moreover moreover RB cord-004073-k6ad4qgu 19 2 , , , cord-004073-k6ad4qgu 19 3 the the DT cord-004073-k6ad4qgu 19 4 imperfectness imperfectness NN cord-004073-k6ad4qgu 19 5 of of IN cord-004073-k6ad4qgu 19 6 vaccinations vaccination NNS cord-004073-k6ad4qgu 19 7 has have VBZ cord-004073-k6ad4qgu 19 8 inevitably inevitably RB cord-004073-k6ad4qgu 19 9 led lead VBN cord-004073-k6ad4qgu 19 10 to to IN cord-004073-k6ad4qgu 19 11 anti anti JJ cord-004073-k6ad4qgu 19 12 - - JJ cord-004073-k6ad4qgu 19 13 vaccine vaccine JJ cord-004073-k6ad4qgu 19 14 behaviour behaviour NN cord-004073-k6ad4qgu 19 15 , , , cord-004073-k6ad4qgu 19 16 necessitating necessitate VBG cord-004073-k6ad4qgu 19 17 a a DT cord-004073-k6ad4qgu 19 18 proactive proactive JJ cord-004073-k6ad4qgu 19 19 treatment treatment NN cord-004073-k6ad4qgu 19 20 policy policy NN cord-004073-k6ad4qgu 19 21 . . . cord-004073-k6ad4qgu 20 1 However however RB cord-004073-k6ad4qgu 20 2 , , , cord-004073-k6ad4qgu 20 3 under under IN cord-004073-k6ad4qgu 20 4 the the DT cord-004073-k6ad4qgu 20 5 excessively excessively RB cord-004073-k6ad4qgu 20 6 heavy heavy JJ cord-004073-k6ad4qgu 20 7 implementation implementation NN cord-004073-k6ad4qgu 20 8 of of IN cord-004073-k6ad4qgu 20 9 treatments treatment NNS cord-004073-k6ad4qgu 20 10 such such JJ cord-004073-k6ad4qgu 20 11 as as IN cord-004073-k6ad4qgu 20 12 antiviral antiviral JJ cord-004073-k6ad4qgu 20 13 medicine medicine NN cord-004073-k6ad4qgu 20 14 , , , cord-004073-k6ad4qgu 20 15 resistant resistant JJ cord-004073-k6ad4qgu 20 16 strains strain NNS cord-004073-k6ad4qgu 20 17 emerge emerge VBP cord-004073-k6ad4qgu 20 18 . . . cord-004073-k6ad4qgu 21 1 The the DT cord-004073-k6ad4qgu 21 2 model model NN cord-004073-k6ad4qgu 21 3 explicitly explicitly RB cord-004073-k6ad4qgu 21 4 exhibits exhibit VBZ cord-004073-k6ad4qgu 21 5 a a DT cord-004073-k6ad4qgu 21 6 dual dual JJ cord-004073-k6ad4qgu 21 7 social social JJ cord-004073-k6ad4qgu 21 8 dilemma dilemma NN cord-004073-k6ad4qgu 21 9 situation situation NN cord-004073-k6ad4qgu 21 10 , , , cord-004073-k6ad4qgu 21 11 in in IN cord-004073-k6ad4qgu 21 12 which which WDT cord-004073-k6ad4qgu 21 13 the the DT cord-004073-k6ad4qgu 21 14 treatment treatment NN cord-004073-k6ad4qgu 21 15 behaviour behaviour NN cord-004073-k6ad4qgu 21 16 changes change VBZ cord-004073-k6ad4qgu 21 17 on on IN cord-004073-k6ad4qgu 21 18 a a DT cord-004073-k6ad4qgu 21 19 local local JJ cord-004073-k6ad4qgu 21 20 time time NN cord-004073-k6ad4qgu 21 21 scale scale NN cord-004073-k6ad4qgu 21 22 , , , cord-004073-k6ad4qgu 21 23 and and CC cord-004073-k6ad4qgu 21 24 the the DT cord-004073-k6ad4qgu 21 25 vaccination vaccination NN cord-004073-k6ad4qgu 21 26 uptake uptake NN cord-004073-k6ad4qgu 21 27 later later RB cord-004073-k6ad4qgu 21 28 evolves evolve VBZ cord-004073-k6ad4qgu 21 29 on on IN cord-004073-k6ad4qgu 21 30 a a DT cord-004073-k6ad4qgu 21 31 global global JJ cord-004073-k6ad4qgu 21 32 time time NN cord-004073-k6ad4qgu 21 33 scale scale NN cord-004073-k6ad4qgu 21 34 . . . cord-004073-k6ad4qgu 22 1 The the DT cord-004073-k6ad4qgu 22 2 impact impact NN cord-004073-k6ad4qgu 22 3 of of IN cord-004073-k6ad4qgu 22 4 resistance resistance NN cord-004073-k6ad4qgu 22 5 evolution evolution NN cord-004073-k6ad4qgu 22 6 and and CC cord-004073-k6ad4qgu 22 7 the the DT cord-004073-k6ad4qgu 22 8 coexistence coexistence NN cord-004073-k6ad4qgu 22 9 of of IN cord-004073-k6ad4qgu 22 10 dual dual JJ cord-004073-k6ad4qgu 22 11 dilemmas dilemma NNS cord-004073-k6ad4qgu 22 12 are be VBP cord-004073-k6ad4qgu 22 13 investigated investigate VBN cord-004073-k6ad4qgu 22 14 by by IN cord-004073-k6ad4qgu 22 15 the the DT cord-004073-k6ad4qgu 22 16 control control NN cord-004073-k6ad4qgu 22 17 reproduction reproduction NN cord-004073-k6ad4qgu 22 18 number number NN cord-004073-k6ad4qgu 22 19 and and CC cord-004073-k6ad4qgu 22 20 the the DT cord-004073-k6ad4qgu 22 21 social social JJ cord-004073-k6ad4qgu 22 22 efficiency efficiency NN cord-004073-k6ad4qgu 22 23 deficit deficit NN cord-004073-k6ad4qgu 22 24 , , , cord-004073-k6ad4qgu 22 25 respectively respectively RB cord-004073-k6ad4qgu 22 26 . . . cord-004073-k6ad4qgu 22 27 _SP cord-004073-k6ad4qgu 23 1 The the DT cord-004073-k6ad4qgu 23 2 appearance appearance NN cord-004073-k6ad4qgu 23 3 of of IN cord-004073-k6ad4qgu 23 4 epidemiological epidemiological JJ cord-004073-k6ad4qgu 23 5 dynamics dynamic NNS cord-004073-k6ad4qgu 23 6 in in IN cord-004073-k6ad4qgu 23 7 the the DT cord-004073-k6ad4qgu 23 8 mechanism mechanism NN cord-004073-k6ad4qgu 23 9 of of IN cord-004073-k6ad4qgu 23 10 pre pre JJ cord-004073-k6ad4qgu 23 11 - - JJ cord-004073-k6ad4qgu 23 12 emptive emptive JJ cord-004073-k6ad4qgu 23 13 voluntary voluntary JJ cord-004073-k6ad4qgu 23 14 vaccination vaccination NN cord-004073-k6ad4qgu 23 15 has have VBZ cord-004073-k6ad4qgu 23 16 been be VBN cord-004073-k6ad4qgu 23 17 studied study VBN cord-004073-k6ad4qgu 23 18 in in IN cord-004073-k6ad4qgu 23 19 various various JJ cord-004073-k6ad4qgu 23 20 contexts context NNS cord-004073-k6ad4qgu 23 21 [ [ -LRB- cord-004073-k6ad4qgu 23 22 1 1 CD cord-004073-k6ad4qgu 23 23 ] ] -RRB- cord-004073-k6ad4qgu 23 24 , , , cord-004073-k6ad4qgu 23 25 such such JJ cord-004073-k6ad4qgu 23 26 as as IN cord-004073-k6ad4qgu 23 27 perfect perfect JJ cord-004073-k6ad4qgu 23 28 and and CC cord-004073-k6ad4qgu 23 29 imperfect imperfect JJ cord-004073-k6ad4qgu 23 30 vaccination vaccination NN cord-004073-k6ad4qgu 23 31 [ [ -LRB- cord-004073-k6ad4qgu 23 32 2 2 CD cord-004073-k6ad4qgu 23 33 , , , cord-004073-k6ad4qgu 23 34 3 3 CD cord-004073-k6ad4qgu 23 35 ] ] -RRB- cord-004073-k6ad4qgu 23 36 , , , cord-004073-k6ad4qgu 23 37 dynamical dynamical JJ cord-004073-k6ad4qgu 23 38 behaviour behaviour NN cord-004073-k6ad4qgu 23 39 of of IN cord-004073-k6ad4qgu 23 40 vaccination vaccination NN cord-004073-k6ad4qgu 23 41 [ [ -LRB- cord-004073-k6ad4qgu 23 42 4 4 CD cord-004073-k6ad4qgu 23 43 ] ] -RRB- cord-004073-k6ad4qgu 23 44 , , , cord-004073-k6ad4qgu 23 45 vaccination vaccination NN cord-004073-k6ad4qgu 23 46 with with IN cord-004073-k6ad4qgu 23 47 information information NN cord-004073-k6ad4qgu 23 48 spreading spread VBG cord-004073-k6ad4qgu 23 49 [ [ -LRB- cord-004073-k6ad4qgu 23 50 5 5 CD cord-004073-k6ad4qgu 23 51 ] ] -RRB- cord-004073-k6ad4qgu 23 52 , , , cord-004073-k6ad4qgu 23 53 metapopulation metapopulation NN cord-004073-k6ad4qgu 23 54 migration migration NN cord-004073-k6ad4qgu 23 55 modelling modelling NN cord-004073-k6ad4qgu 23 56 [ [ -LRB- cord-004073-k6ad4qgu 23 57 6 6 CD cord-004073-k6ad4qgu 23 58 ] ] -RRB- cord-004073-k6ad4qgu 23 59 and and CC cord-004073-k6ad4qgu 23 60 heterogeneous heterogeneous JJ cord-004073-k6ad4qgu 23 61 networks network NNS cord-004073-k6ad4qgu 23 62 [ [ -LRB- cord-004073-k6ad4qgu 23 63 7 7 CD cord-004073-k6ad4qgu 23 64 ] ] -RRB- cord-004073-k6ad4qgu 23 65 . . . cord-004073-k6ad4qgu 24 1 Furthermore furthermore RB cord-004073-k6ad4qgu 24 2 , , , cord-004073-k6ad4qgu 24 3 Chen Chen NNP cord-004073-k6ad4qgu 24 4 & & CC cord-004073-k6ad4qgu 24 5 Fu Fu NNP cord-004073-k6ad4qgu 24 6 [ [ -LRB- cord-004073-k6ad4qgu 24 7 8 8 CD cord-004073-k6ad4qgu 24 8 ] ] -RRB- cord-004073-k6ad4qgu 24 9 studied study VBD cord-004073-k6ad4qgu 24 10 an an DT cord-004073-k6ad4qgu 24 11 effective effective JJ cord-004073-k6ad4qgu 24 12 antiviral antiviral JJ cord-004073-k6ad4qgu 24 13 treatment treatment NN cord-004073-k6ad4qgu 24 14 with with IN cord-004073-k6ad4qgu 24 15 prescribing prescribe VBG cord-004073-k6ad4qgu 24 16 behaviour behaviour NN cord-004073-k6ad4qgu 24 17 and and CC cord-004073-k6ad4qgu 24 18 resistance resistance NN cord-004073-k6ad4qgu 24 19 evolution evolution NN cord-004073-k6ad4qgu 24 20 . . . cord-004073-k6ad4qgu 25 1 Remarkably remarkably RB cord-004073-k6ad4qgu 25 2 , , , cord-004073-k6ad4qgu 25 3 influenza influenza NN cord-004073-k6ad4qgu 25 4 - - HYPH cord-004073-k6ad4qgu 25 5 like like JJ cord-004073-k6ad4qgu 25 6 illnesses illness NNS cord-004073-k6ad4qgu 25 7 , , , cord-004073-k6ad4qgu 25 8 Oseltamivir Oseltamivir NNP cord-004073-k6ad4qgu 25 9 ( ( -LRB- cord-004073-k6ad4qgu 25 10 Tamiflu Tamiflu NNP cord-004073-k6ad4qgu 25 11 ) ) -RRB- cord-004073-k6ad4qgu 25 12 [ [ -LRB- cord-004073-k6ad4qgu 25 13 9 9 CD cord-004073-k6ad4qgu 25 14 ] ] -RRB- cord-004073-k6ad4qgu 25 15 is be VBZ cord-004073-k6ad4qgu 25 16 a a DT cord-004073-k6ad4qgu 25 17 widely widely RB cord-004073-k6ad4qgu 25 18 used use VBN cord-004073-k6ad4qgu 25 19 ex ex NN cord-004073-k6ad4qgu 25 20 post post NN cord-004073-k6ad4qgu 25 21 treatment treatment NN cord-004073-k6ad4qgu 25 22 originally originally RB cord-004073-k6ad4qgu 25 23 administered administer VBN cord-004073-k6ad4qgu 25 24 against against IN cord-004073-k6ad4qgu 25 25 influenza influenza NN cord-004073-k6ad4qgu 25 26 A a NN cord-004073-k6ad4qgu 25 27 and and CC cord-004073-k6ad4qgu 25 28 B b NN cord-004073-k6ad4qgu 25 29 viruses virus NNS cord-004073-k6ad4qgu 25 30 . . . cord-004073-k6ad4qgu 26 1 However however RB cord-004073-k6ad4qgu 26 2 , , , cord-004073-k6ad4qgu 26 3 over over IN cord-004073-k6ad4qgu 26 4 the the DT cord-004073-k6ad4qgu 26 5 years year NNS cord-004073-k6ad4qgu 26 6 , , , cord-004073-k6ad4qgu 26 7 the the DT cord-004073-k6ad4qgu 26 8 societal societal JJ cord-004073-k6ad4qgu 26 9 benefits benefit NNS cord-004073-k6ad4qgu 26 10 of of IN cord-004073-k6ad4qgu 26 11 antiviral antiviral JJ cord-004073-k6ad4qgu 26 12 treatment treatment NN cord-004073-k6ad4qgu 26 13 have have VBP cord-004073-k6ad4qgu 26 14 lessened lessen VBN cord-004073-k6ad4qgu 26 15 with with IN cord-004073-k6ad4qgu 26 16 overuse overuse NN cord-004073-k6ad4qgu 26 17 , , , cord-004073-k6ad4qgu 26 18 leading lead VBG cord-004073-k6ad4qgu 26 19 to to IN cord-004073-k6ad4qgu 26 20 treatment treatment NN cord-004073-k6ad4qgu 26 21 resistance resistance NN cord-004073-k6ad4qgu 26 22 . . . cord-004073-k6ad4qgu 27 1 These these DT cord-004073-k6ad4qgu 27 2 trends trend NNS cord-004073-k6ad4qgu 27 3 are be VBP cord-004073-k6ad4qgu 27 4 evidenced evidence VBN cord-004073-k6ad4qgu 27 5 by by IN cord-004073-k6ad4qgu 27 6 the the DT cord-004073-k6ad4qgu 27 7 interplay interplay NN cord-004073-k6ad4qgu 27 8 between between IN cord-004073-k6ad4qgu 27 9 prescription prescription NN cord-004073-k6ad4qgu 27 10 behaviour behaviour NN cord-004073-k6ad4qgu 27 11 and and CC cord-004073-k6ad4qgu 27 12 resistance resistance NN cord-004073-k6ad4qgu 27 13 evolution evolution NN cord-004073-k6ad4qgu 27 14 . . . cord-004073-k6ad4qgu 28 1 Here here RB cord-004073-k6ad4qgu 28 2 , , , cord-004073-k6ad4qgu 28 3 the the DT cord-004073-k6ad4qgu 28 4 theoretical theoretical JJ cord-004073-k6ad4qgu 28 5 studies study NNS cord-004073-k6ad4qgu 28 6 of of IN cord-004073-k6ad4qgu 28 7 vaccination vaccination NN cord-004073-k6ad4qgu 28 8 and and CC cord-004073-k6ad4qgu 28 9 treatment treatment NN cord-004073-k6ad4qgu 28 10 strategies strategy NNS cord-004073-k6ad4qgu 28 11 have have VBP cord-004073-k6ad4qgu 28 12 considered consider VBN cord-004073-k6ad4qgu 28 13 different different JJ cord-004073-k6ad4qgu 28 14 effectiveness effectiveness NN cord-004073-k6ad4qgu 28 15 , , , cord-004073-k6ad4qgu 28 16 associated associate VBN cord-004073-k6ad4qgu 28 17 costs cost NNS cord-004073-k6ad4qgu 28 18 , , , cord-004073-k6ad4qgu 28 19 payoff payoff NN cord-004073-k6ad4qgu 28 20 structures structure NNS cord-004073-k6ad4qgu 28 21 and and CC cord-004073-k6ad4qgu 28 22 time time NN cord-004073-k6ad4qgu 28 23 scales scale NNS cord-004073-k6ad4qgu 28 24 . . . cord-004073-k6ad4qgu 29 1 Previously previously RB cord-004073-k6ad4qgu 29 2 , , , cord-004073-k6ad4qgu 29 3 compartment compartment NN cord-004073-k6ad4qgu 29 4 models model NNS cord-004073-k6ad4qgu 29 5 with with IN cord-004073-k6ad4qgu 29 6 the the DT cord-004073-k6ad4qgu 29 7 mean mean JJ cord-004073-k6ad4qgu 29 8 - - HYPH cord-004073-k6ad4qgu 29 9 field field NN cord-004073-k6ad4qgu 29 10 approximation approximation NN cord-004073-k6ad4qgu 29 11 , , , cord-004073-k6ad4qgu 29 12 such such JJ cord-004073-k6ad4qgu 29 13 as as IN cord-004073-k6ad4qgu 29 14 the the DT cord-004073-k6ad4qgu 29 15 SI SI NNP cord-004073-k6ad4qgu 29 16 [ [ -LRB- cord-004073-k6ad4qgu 29 17 10 10 CD cord-004073-k6ad4qgu 29 18 ] ] -RRB- cord-004073-k6ad4qgu 29 19 , , , cord-004073-k6ad4qgu 29 20 SIS SIS NNP cord-004073-k6ad4qgu 29 21 [ [ -LRB- cord-004073-k6ad4qgu 29 22 11 11 CD cord-004073-k6ad4qgu 29 23 ] ] -RRB- cord-004073-k6ad4qgu 29 24 , , , cord-004073-k6ad4qgu 29 25 SIR SIR NNP cord-004073-k6ad4qgu 29 26 [ [ -LRB- cord-004073-k6ad4qgu 29 27 12 12 CD cord-004073-k6ad4qgu 29 28 ] ] -RRB- cord-004073-k6ad4qgu 29 29 , , , cord-004073-k6ad4qgu 29 30 SEIR SEIR NNP cord-004073-k6ad4qgu 29 31 [ [ -LRB- cord-004073-k6ad4qgu 29 32 13 13 CD cord-004073-k6ad4qgu 29 33 ] ] -RRB- cord-004073-k6ad4qgu 29 34 and and CC cord-004073-k6ad4qgu 29 35 SEIQR SEIQR NNP cord-004073-k6ad4qgu 29 36 [ [ -LRB- cord-004073-k6ad4qgu 29 37 14 14 CD cord-004073-k6ad4qgu 29 38 ] ] -RRB- cord-004073-k6ad4qgu 29 39 models model NNS cord-004073-k6ad4qgu 29 40 , , , cord-004073-k6ad4qgu 29 41 are be VBP cord-004073-k6ad4qgu 29 42 exhibited exhibit VBN cord-004073-k6ad4qgu 29 43 by by IN cord-004073-k6ad4qgu 29 44 dividing divide VBG cord-004073-k6ad4qgu 29 45 the the DT cord-004073-k6ad4qgu 29 46 population population NN cord-004073-k6ad4qgu 29 47 into into IN cord-004073-k6ad4qgu 29 48 several several JJ cord-004073-k6ad4qgu 29 49 distinct distinct JJ cord-004073-k6ad4qgu 29 50 groups group NNS cord-004073-k6ad4qgu 29 51 . . . cord-004073-k6ad4qgu 30 1 In in IN cord-004073-k6ad4qgu 30 2 these these DT cord-004073-k6ad4qgu 30 3 designations designation NNS cord-004073-k6ad4qgu 30 4 , , , cord-004073-k6ad4qgu 30 5 S S NNP cord-004073-k6ad4qgu 30 6 , , , cord-004073-k6ad4qgu 30 7 I -PRON- PRP cord-004073-k6ad4qgu 30 8 , , , cord-004073-k6ad4qgu 30 9 R r NN cord-004073-k6ad4qgu 30 10 , , , cord-004073-k6ad4qgu 30 11 E E NNP cord-004073-k6ad4qgu 30 12 and and CC cord-004073-k6ad4qgu 30 13 Q Q NNP cord-004073-k6ad4qgu 30 14 represent represent VBP cord-004073-k6ad4qgu 30 15 the the DT cord-004073-k6ad4qgu 30 16 proportions proportion NNS cord-004073-k6ad4qgu 30 17 of of IN cord-004073-k6ad4qgu 30 18 susceptible susceptible JJ cord-004073-k6ad4qgu 30 19 , , , cord-004073-k6ad4qgu 30 20 infected infected JJ cord-004073-k6ad4qgu 30 21 , , , cord-004073-k6ad4qgu 30 22 recovered recover VBN cord-004073-k6ad4qgu 30 23 , , , cord-004073-k6ad4qgu 30 24 exposed expose VBN cord-004073-k6ad4qgu 30 25 and and CC cord-004073-k6ad4qgu 30 26 quarantined quarantine VBN cord-004073-k6ad4qgu 30 27 individuals individual NNS cord-004073-k6ad4qgu 30 28 , , , cord-004073-k6ad4qgu 30 29 respectively respectively RB cord-004073-k6ad4qgu 30 30 . . . cord-004073-k6ad4qgu 31 1 Recently recently RB cord-004073-k6ad4qgu 31 2 , , , cord-004073-k6ad4qgu 31 3 Kabir Kabir NNP cord-004073-k6ad4qgu 31 4 et et NNP cord-004073-k6ad4qgu 31 5 al al NNP cord-004073-k6ad4qgu 31 6 . . NNP cord-004073-k6ad4qgu 31 7 extended extend VBD cord-004073-k6ad4qgu 31 8 the the DT cord-004073-k6ad4qgu 31 9 simple simple JJ cord-004073-k6ad4qgu 31 10 SIR SIR NNP cord-004073-k6ad4qgu 31 11 model model NN cord-004073-k6ad4qgu 31 12 by by IN cord-004073-k6ad4qgu 31 13 introducing introduce VBG cord-004073-k6ad4qgu 31 14 an an DT cord-004073-k6ad4qgu 31 15 awareness awareness NN cord-004073-k6ad4qgu 31 16 effect effect NN cord-004073-k6ad4qgu 31 17 on on IN cord-004073-k6ad4qgu 31 18 epidemic epidemic NN cord-004073-k6ad4qgu 31 19 spreading spreading NN cord-004073-k6ad4qgu 31 20 and and CC cord-004073-k6ad4qgu 31 21 implemented implement VBD cord-004073-k6ad4qgu 31 22 a a DT cord-004073-k6ad4qgu 31 23 two two CD cord-004073-k6ad4qgu 31 24 - - HYPH cord-004073-k6ad4qgu 31 25 layer layer NN cord-004073-k6ad4qgu 31 26 SIR SIR NNP cord-004073-k6ad4qgu 31 27 - - HYPH cord-004073-k6ad4qgu 31 28 UA UA NNP cord-004073-k6ad4qgu 31 29 model model NN cord-004073-k6ad4qgu 31 30 on on IN cord-004073-k6ad4qgu 31 31 well well RB cord-004073-k6ad4qgu 31 32 - - HYPH cord-004073-k6ad4qgu 31 33 mixed mix VBN cord-004073-k6ad4qgu 31 34 [ [ -LRB- cord-004073-k6ad4qgu 31 35 15 15 CD cord-004073-k6ad4qgu 31 36 ] ] -RRB- cord-004073-k6ad4qgu 31 37 and and CC cord-004073-k6ad4qgu 31 38 heterogeneous heterogeneous JJ cord-004073-k6ad4qgu 31 39 networks network NNS cord-004073-k6ad4qgu 31 40 [ [ -LRB- cord-004073-k6ad4qgu 31 41 16 16 CD cord-004073-k6ad4qgu 31 42 ] ] -RRB- cord-004073-k6ad4qgu 31 43 . . . cord-004073-k6ad4qgu 32 1 Additionally additionally RB cord-004073-k6ad4qgu 32 2 , , , cord-004073-k6ad4qgu 32 3 treatment treatment NN cord-004073-k6ad4qgu 32 4 is be VBZ cord-004073-k6ad4qgu 32 5 an an DT cord-004073-k6ad4qgu 32 6 important important JJ cord-004073-k6ad4qgu 32 7 compartmented compartmented JJ cord-004073-k6ad4qgu 32 8 state state NN cord-004073-k6ad4qgu 32 9 that that WDT cord-004073-k6ad4qgu 32 10 reduces reduce VBZ cord-004073-k6ad4qgu 32 11 the the DT cord-004073-k6ad4qgu 32 12 disease disease NN cord-004073-k6ad4qgu 32 13 after after IN cord-004073-k6ad4qgu 32 14 infection infection NN cord-004073-k6ad4qgu 32 15 . . . cord-004073-k6ad4qgu 33 1 Treatments treatment NNS cord-004073-k6ad4qgu 33 2 such such JJ cord-004073-k6ad4qgu 33 3 as as IN cord-004073-k6ad4qgu 33 4 antibiotics antibiotic NNS cord-004073-k6ad4qgu 33 5 , , , cord-004073-k6ad4qgu 33 6 quarantine quarantine NN cord-004073-k6ad4qgu 33 7 and and CC cord-004073-k6ad4qgu 33 8 isolation isolation NN cord-004073-k6ad4qgu 33 9 have have VBP cord-004073-k6ad4qgu 33 10 been be VBN cord-004073-k6ad4qgu 33 11 theoretically theoretically RB cord-004073-k6ad4qgu 33 12 investigated investigate VBN cord-004073-k6ad4qgu 33 13 by by IN cord-004073-k6ad4qgu 33 14 many many JJ cord-004073-k6ad4qgu 33 15 researchers researcher NNS cord-004073-k6ad4qgu 33 16 [ [ -LRB- cord-004073-k6ad4qgu 33 17 17 17 CD cord-004073-k6ad4qgu 33 18 ] ] -RRB- cord-004073-k6ad4qgu 33 19 [ [ -LRB- cord-004073-k6ad4qgu 33 20 18 18 CD cord-004073-k6ad4qgu 33 21 ] ] -RRB- cord-004073-k6ad4qgu 33 22 [ [ -LRB- cord-004073-k6ad4qgu 33 23 19 19 CD cord-004073-k6ad4qgu 33 24 ] ] -RRB- cord-004073-k6ad4qgu 33 25 [ [ -LRB- cord-004073-k6ad4qgu 33 26 20 20 CD cord-004073-k6ad4qgu 33 27 ] ] -RRB- cord-004073-k6ad4qgu 33 28 [ [ -LRB- cord-004073-k6ad4qgu 33 29 21 21 CD cord-004073-k6ad4qgu 33 30 ] ] -RRB- cord-004073-k6ad4qgu 33 31 [ [ -LRB- cord-004073-k6ad4qgu 33 32 22 22 CD cord-004073-k6ad4qgu 33 33 ] ] -RRB- cord-004073-k6ad4qgu 33 34 [ [ -LRB- cord-004073-k6ad4qgu 33 35 23 23 CD cord-004073-k6ad4qgu 33 36 ] ] -RRB- cord-004073-k6ad4qgu 33 37 [ [ -LRB- cord-004073-k6ad4qgu 33 38 24 24 CD cord-004073-k6ad4qgu 33 39 ] ] -RRB- cord-004073-k6ad4qgu 33 40 [ [ -LRB- cord-004073-k6ad4qgu 33 41 25 25 CD cord-004073-k6ad4qgu 33 42 ] ] -RRB- cord-004073-k6ad4qgu 33 43 [ [ -LRB- cord-004073-k6ad4qgu 33 44 26 26 CD cord-004073-k6ad4qgu 33 45 ] ] -RRB- cord-004073-k6ad4qgu 33 46 . . . cord-004073-k6ad4qgu 34 1 The the DT cord-004073-k6ad4qgu 34 2 consequences consequence NNS cord-004073-k6ad4qgu 34 3 of of IN cord-004073-k6ad4qgu 34 4 vaccination vaccination NN cord-004073-k6ad4qgu 34 5 and and CC cord-004073-k6ad4qgu 34 6 treatment treatment NN cord-004073-k6ad4qgu 34 7 on on IN cord-004073-k6ad4qgu 34 8 an an DT cord-004073-k6ad4qgu 34 9 epidemic epidemic NN cord-004073-k6ad4qgu 34 10 model model NN cord-004073-k6ad4qgu 34 11 were be VBD cord-004073-k6ad4qgu 34 12 investigated investigate VBN cord-004073-k6ad4qgu 34 13 in in IN cord-004073-k6ad4qgu 34 14 an an DT cord-004073-k6ad4qgu 34 15 influenza influenza NN cord-004073-k6ad4qgu 34 16 model model NN cord-004073-k6ad4qgu 34 17 with with IN cord-004073-k6ad4qgu 34 18 age age NN cord-004073-k6ad4qgu 34 19 structure structure NN cord-004073-k6ad4qgu 34 20 by by IN cord-004073-k6ad4qgu 34 21 Qiu Qiu NNP cord-004073-k6ad4qgu 34 22 & & CC cord-004073-k6ad4qgu 34 23 Feng Feng NNP cord-004073-k6ad4qgu 34 24 [ [ -LRB- cord-004073-k6ad4qgu 34 25 27 27 CD cord-004073-k6ad4qgu 34 26 , , , cord-004073-k6ad4qgu 34 27 28 28 CD cord-004073-k6ad4qgu 34 28 ] ] -RRB- cord-004073-k6ad4qgu 34 29 and and CC cord-004073-k6ad4qgu 34 30 Feng Feng NNP cord-004073-k6ad4qgu 34 31 et et FW cord-004073-k6ad4qgu 34 32 al al NNP cord-004073-k6ad4qgu 34 33 . . . cord-004073-k6ad4qgu 35 1 [ [ -LRB- cord-004073-k6ad4qgu 35 2 29 29 CD cord-004073-k6ad4qgu 35 3 ] ] -RRB- cord-004073-k6ad4qgu 35 4 , , , cord-004073-k6ad4qgu 35 5 an an DT cord-004073-k6ad4qgu 35 6 SIVS SIVS NNP cord-004073-k6ad4qgu 35 7 model model NN cord-004073-k6ad4qgu 35 8 with with IN cord-004073-k6ad4qgu 35 9 vaccination vaccination NN cord-004073-k6ad4qgu 35 10 age age NN cord-004073-k6ad4qgu 35 11 by by IN cord-004073-k6ad4qgu 35 12 Li Li NNP cord-004073-k6ad4qgu 35 13 et et NNP cord-004073-k6ad4qgu 35 14 al al NNP cord-004073-k6ad4qgu 35 15 . . . cord-004073-k6ad4qgu 36 1 [ [ -LRB- cord-004073-k6ad4qgu 36 2 30 30 CD cord-004073-k6ad4qgu 36 3 ] ] -RRB- cord-004073-k6ad4qgu 36 4 , , , cord-004073-k6ad4qgu 36 5 an an DT cord-004073-k6ad4qgu 36 6 SIR SIR NNP cord-004073-k6ad4qgu 36 7 epidemic epidemic NN cord-004073-k6ad4qgu 36 8 model model NN cord-004073-k6ad4qgu 36 9 with with IN cord-004073-k6ad4qgu 36 10 optimal optimal JJ cord-004073-k6ad4qgu 36 11 control control NN cord-004073-k6ad4qgu 36 12 theory theory NN cord-004073-k6ad4qgu 36 13 by by IN cord-004073-k6ad4qgu 36 14 Zaman Zaman NNP cord-004073-k6ad4qgu 36 15 et et NNP cord-004073-k6ad4qgu 36 16 al al NNP cord-004073-k6ad4qgu 36 17 . . . cord-004073-k6ad4qgu 37 1 [ [ -LRB- cord-004073-k6ad4qgu 37 2 31 31 CD cord-004073-k6ad4qgu 37 3 ] ] -RRB- cord-004073-k6ad4qgu 37 4 and and CC cord-004073-k6ad4qgu 37 5 a a DT cord-004073-k6ad4qgu 37 6 pandemic pandemic NN cord-004073-k6ad4qgu 37 7 influenza influenza NN cord-004073-k6ad4qgu 37 8 model model NN cord-004073-k6ad4qgu 37 9 by by IN cord-004073-k6ad4qgu 37 10 Towers Towers NNPS cord-004073-k6ad4qgu 37 11 et et NNP cord-004073-k6ad4qgu 37 12 al al NNP cord-004073-k6ad4qgu 37 13 . . . cord-004073-k6ad4qgu 38 1 [ [ -LRB- cord-004073-k6ad4qgu 38 2 32 32 CD cord-004073-k6ad4qgu 38 3 ] ] -RRB- cord-004073-k6ad4qgu 38 4 . . . cord-004073-k6ad4qgu 39 1 All all PDT cord-004073-k6ad4qgu 39 2 these these DT cord-004073-k6ad4qgu 39 3 works work NNS cord-004073-k6ad4qgu 39 4 presumed presume VBD cord-004073-k6ad4qgu 39 5 that that DT cord-004073-k6ad4qgu 39 6 vaccination vaccination NN cord-004073-k6ad4qgu 39 7 , , , cord-004073-k6ad4qgu 39 8 quarantine quarantine NN cord-004073-k6ad4qgu 39 9 or or CC cord-004073-k6ad4qgu 39 10 treatment treatment NN cord-004073-k6ad4qgu 39 11 would would MD cord-004073-k6ad4qgu 39 12 reduce reduce VB cord-004073-k6ad4qgu 39 13 epidemic epidemic NN cord-004073-k6ad4qgu 39 14 infection infection NN cord-004073-k6ad4qgu 39 15 in in IN cord-004073-k6ad4qgu 39 16 a a DT cord-004073-k6ad4qgu 39 17 simple simple JJ cord-004073-k6ad4qgu 39 18 dynamical dynamical JJ cord-004073-k6ad4qgu 39 19 situation situation NN cord-004073-k6ad4qgu 39 20 on on IN cord-004073-k6ad4qgu 39 21 local local JJ cord-004073-k6ad4qgu 39 22 time time NN cord-004073-k6ad4qgu 39 23 scales scale NNS cord-004073-k6ad4qgu 39 24 and and CC cord-004073-k6ad4qgu 39 25 with with IN cord-004073-k6ad4qgu 39 26 no no DT cord-004073-k6ad4qgu 39 27 game game NN cord-004073-k6ad4qgu 39 28 aspect aspect NN cord-004073-k6ad4qgu 39 29 . . . cord-004073-k6ad4qgu 40 1 By by IN cord-004073-k6ad4qgu 40 2 contrast contrast NN cord-004073-k6ad4qgu 40 3 , , , cord-004073-k6ad4qgu 40 4 the the DT cord-004073-k6ad4qgu 40 5 present present JJ cord-004073-k6ad4qgu 40 6 study study NN cord-004073-k6ad4qgu 40 7 aims aim VBZ cord-004073-k6ad4qgu 40 8 to to TO cord-004073-k6ad4qgu 40 9 establish establish VB cord-004073-k6ad4qgu 40 10 a a DT cord-004073-k6ad4qgu 40 11 theoretical theoretical JJ cord-004073-k6ad4qgu 40 12 epidemic epidemic NN cord-004073-k6ad4qgu 40 13 model model NN cord-004073-k6ad4qgu 40 14 encompassing encompass VBG cord-004073-k6ad4qgu 40 15 both both CC cord-004073-k6ad4qgu 40 16 vaccination vaccination NN cord-004073-k6ad4qgu 40 17 and and CC cord-004073-k6ad4qgu 40 18 treatment treatment NN cord-004073-k6ad4qgu 40 19 as as IN cord-004073-k6ad4qgu 40 20 an an DT cord-004073-k6ad4qgu 40 21 evolutionary evolutionary JJ cord-004073-k6ad4qgu 40 22 game game NN cord-004073-k6ad4qgu 40 23 approach approach NN cord-004073-k6ad4qgu 40 24 . . . cord-004073-k6ad4qgu 41 1 The the DT cord-004073-k6ad4qgu 41 2 human human JJ cord-004073-k6ad4qgu 41 3 decision decision NN cord-004073-k6ad4qgu 41 4 - - HYPH cord-004073-k6ad4qgu 41 5 making making NN cord-004073-k6ad4qgu 41 6 process process NN cord-004073-k6ad4qgu 41 7 is be VBZ cord-004073-k6ad4qgu 41 8 affected affect VBN cord-004073-k6ad4qgu 41 9 by by IN cord-004073-k6ad4qgu 41 10 the the DT cord-004073-k6ad4qgu 41 11 cost cost NN cord-004073-k6ad4qgu 41 12 and and CC cord-004073-k6ad4qgu 41 13 risk risk NN cord-004073-k6ad4qgu 41 14 of of IN cord-004073-k6ad4qgu 41 15 the the DT cord-004073-k6ad4qgu 41 16 vaccine vaccine NN cord-004073-k6ad4qgu 41 17 , , , cord-004073-k6ad4qgu 41 18 selfopinion selfopinion NN cord-004073-k6ad4qgu 41 19 , , , cord-004073-k6ad4qgu 41 20 networks network NNS cord-004073-k6ad4qgu 41 21 and and CC cord-004073-k6ad4qgu 41 22 neighbours neighbour NNS cord-004073-k6ad4qgu 41 23 ' ' POS cord-004073-k6ad4qgu 41 24 decisions decision NNS cord-004073-k6ad4qgu 41 25 ; ; : cord-004073-k6ad4qgu 41 26 therefore therefore RB cord-004073-k6ad4qgu 41 27 , , , cord-004073-k6ad4qgu 41 28 how how WRB cord-004073-k6ad4qgu 41 29 vaccine vaccine NN cord-004073-k6ad4qgu 41 30 acquiescence acquiescence NN cord-004073-k6ad4qgu 41 31 is be VBZ cord-004073-k6ad4qgu 41 32 influenced influence VBN cord-004073-k6ad4qgu 41 33 by by IN cord-004073-k6ad4qgu 41 34 various various JJ cord-004073-k6ad4qgu 41 35 factors factor NNS cord-004073-k6ad4qgu 41 36 must must MD cord-004073-k6ad4qgu 41 37 be be VB cord-004073-k6ad4qgu 41 38 investigated investigate VBN cord-004073-k6ad4qgu 41 39 [ [ -LRB- cord-004073-k6ad4qgu 41 40 33 33 CD cord-004073-k6ad4qgu 41 41 ] ] -RRB- cord-004073-k6ad4qgu 42 1 [ [ -LRB- cord-004073-k6ad4qgu 42 2 34 34 CD cord-004073-k6ad4qgu 42 3 ] ] -RRB- cord-004073-k6ad4qgu 42 4 [ [ -LRB- cord-004073-k6ad4qgu 42 5 35 35 CD cord-004073-k6ad4qgu 42 6 ] ] -RRB- cord-004073-k6ad4qgu 42 7 [ [ -LRB- cord-004073-k6ad4qgu 42 8 36 36 CD cord-004073-k6ad4qgu 42 9 ] ] -RRB- cord-004073-k6ad4qgu 43 1 [ [ -LRB- cord-004073-k6ad4qgu 43 2 37 37 CD cord-004073-k6ad4qgu 43 3 ] ] -RRB- cord-004073-k6ad4qgu 43 4 [ [ -LRB- cord-004073-k6ad4qgu 43 5 38 38 CD cord-004073-k6ad4qgu 43 6 ] ] -RRB- cord-004073-k6ad4qgu 44 1 [ [ -LRB- cord-004073-k6ad4qgu 44 2 39 39 CD cord-004073-k6ad4qgu 44 3 ] ] -RRB- cord-004073-k6ad4qgu 45 1 [ [ -LRB- cord-004073-k6ad4qgu 45 2 40 40 CD cord-004073-k6ad4qgu 45 3 ] ] -RRB- cord-004073-k6ad4qgu 45 4 [ [ -LRB- cord-004073-k6ad4qgu 45 5 41 41 CD cord-004073-k6ad4qgu 45 6 ] ] -RRB- cord-004073-k6ad4qgu 46 1 [ [ -LRB- cord-004073-k6ad4qgu 46 2 42 42 CD cord-004073-k6ad4qgu 46 3 ] ] -RRB- cord-004073-k6ad4qgu 46 4 [ [ -LRB- cord-004073-k6ad4qgu 46 5 43 43 CD cord-004073-k6ad4qgu 46 6 ] ] -RRB- cord-004073-k6ad4qgu 46 7 [ [ -LRB- cord-004073-k6ad4qgu 46 8 44 44 CD cord-004073-k6ad4qgu 46 9 ] ] -RRB- cord-004073-k6ad4qgu 47 1 [ [ -LRB- cord-004073-k6ad4qgu 47 2 45 45 CD cord-004073-k6ad4qgu 47 3 ] ] -RRB- cord-004073-k6ad4qgu 48 1 [ [ -LRB- cord-004073-k6ad4qgu 48 2 46 46 CD cord-004073-k6ad4qgu 48 3 ] ] -RRB- cord-004073-k6ad4qgu 48 4 [ [ -LRB- cord-004073-k6ad4qgu 48 5 47 47 CD cord-004073-k6ad4qgu 48 6 ] ] -RRB- cord-004073-k6ad4qgu 48 7 [ [ -LRB- cord-004073-k6ad4qgu 48 8 48 48 CD cord-004073-k6ad4qgu 48 9 ] ] -RRB- cord-004073-k6ad4qgu 48 10 . . . cord-004073-k6ad4qgu 49 1 According accord VBG cord-004073-k6ad4qgu 49 2 to to IN cord-004073-k6ad4qgu 49 3 prior prior JJ cord-004073-k6ad4qgu 49 4 studies study NNS cord-004073-k6ad4qgu 49 5 , , , cord-004073-k6ad4qgu 49 6 a a DT cord-004073-k6ad4qgu 49 7 game game NN cord-004073-k6ad4qgu 49 8 approach approach NN cord-004073-k6ad4qgu 49 9 to to IN cord-004073-k6ad4qgu 49 10 epidemiological epidemiological JJ cord-004073-k6ad4qgu 49 11 vaccination vaccination NN cord-004073-k6ad4qgu 49 12 can can MD cord-004073-k6ad4qgu 49 13 fairly fairly RB cord-004073-k6ad4qgu 49 14 predict predict VB cord-004073-k6ad4qgu 49 15 the the DT cord-004073-k6ad4qgu 49 16 infection infection NN cord-004073-k6ad4qgu 49 17 risk risk NN cord-004073-k6ad4qgu 49 18 in in IN cord-004073-k6ad4qgu 49 19 both both CC cord-004073-k6ad4qgu 49 20 vaccinated vaccinate VBN cord-004073-k6ad4qgu 49 21 and and CC cord-004073-k6ad4qgu 49 22 nonvaccinated nonvaccinate VBN cord-004073-k6ad4qgu 49 23 individuals individual NNS cord-004073-k6ad4qgu 49 24 [ [ -LRB- cord-004073-k6ad4qgu 49 25 49 49 CD cord-004073-k6ad4qgu 49 26 ] ] -RRB- cord-004073-k6ad4qgu 49 27 [ [ -LRB- cord-004073-k6ad4qgu 49 28 50 50 CD cord-004073-k6ad4qgu 49 29 ] ] -RRB- cord-004073-k6ad4qgu 49 30 [ [ -LRB- cord-004073-k6ad4qgu 49 31 51 51 CD cord-004073-k6ad4qgu 49 32 ] ] -RRB- cord-004073-k6ad4qgu 49 33 [ [ -LRB- cord-004073-k6ad4qgu 49 34 52 52 CD cord-004073-k6ad4qgu 49 35 ] ] -RRB- cord-004073-k6ad4qgu 49 36 . . . cord-004073-k6ad4qgu 50 1 Such such JJ cord-004073-k6ad4qgu 50 2 voluntary voluntary JJ cord-004073-k6ad4qgu 50 3 vaccination vaccination NN cord-004073-k6ad4qgu 50 4 game game NN cord-004073-k6ad4qgu 50 5 approaches approach NNS cord-004073-k6ad4qgu 50 6 have have VBP cord-004073-k6ad4qgu 50 7 been be VBN cord-004073-k6ad4qgu 50 8 studied study VBN cord-004073-k6ad4qgu 50 9 theoretically theoretically RB cord-004073-k6ad4qgu 50 10 and and CC cord-004073-k6ad4qgu 50 11 in in IN cord-004073-k6ad4qgu 50 12 multi multi JJ cord-004073-k6ad4qgu 50 13 - - JJ cord-004073-k6ad4qgu 50 14 agent agent JJ cord-004073-k6ad4qgu 50 15 simulations simulation NNS cord-004073-k6ad4qgu 50 16 ( ( -LRB- cord-004073-k6ad4qgu 50 17 MAS MAS NNP cord-004073-k6ad4qgu 50 18 ) ) -RRB- cord-004073-k6ad4qgu 50 19 . . . cord-004073-k6ad4qgu 51 1 To to TO cord-004073-k6ad4qgu 51 2 elucidate elucidate VB cord-004073-k6ad4qgu 51 3 the the DT cord-004073-k6ad4qgu 51 4 mechanism mechanism NN cord-004073-k6ad4qgu 51 5 of of IN cord-004073-k6ad4qgu 51 6 infectiousdisease infectiousdisease NNP cord-004073-k6ad4qgu 51 7 control control NN cord-004073-k6ad4qgu 51 8 , , , cord-004073-k6ad4qgu 51 9 these these DT cord-004073-k6ad4qgu 51 10 approaches approach NNS cord-004073-k6ad4qgu 51 11 incorporate incorporate VBP cord-004073-k6ad4qgu 51 12 a a DT cord-004073-k6ad4qgu 51 13 two two CD cord-004073-k6ad4qgu 51 14 - - HYPH cord-004073-k6ad4qgu 51 15 layer layer NN cord-004073-k6ad4qgu 51 16 time time NN cord-004073-k6ad4qgu 51 17 scale scale NN cord-004073-k6ad4qgu 51 18 : : : cord-004073-k6ad4qgu 51 19 a a DT cord-004073-k6ad4qgu 51 20 local local JJ cord-004073-k6ad4qgu 51 21 time time NN cord-004073-k6ad4qgu 51 22 scale scale NN cord-004073-k6ad4qgu 51 23 ( ( -LRB- cord-004073-k6ad4qgu 51 24 epidemic epidemic NN cord-004073-k6ad4qgu 51 25 season season NN cord-004073-k6ad4qgu 51 26 ) ) -RRB- cord-004073-k6ad4qgu 51 27 of of IN cord-004073-k6ad4qgu 51 28 epidemic epidemic NN cord-004073-k6ad4qgu 51 29 diffusion diffusion NN cord-004073-k6ad4qgu 51 30 and and CC cord-004073-k6ad4qgu 51 31 a a DT cord-004073-k6ad4qgu 51 32 global global JJ cord-004073-k6ad4qgu 51 33 time time NN cord-004073-k6ad4qgu 51 34 scale scale NN cord-004073-k6ad4qgu 51 35 on on IN cord-004073-k6ad4qgu 51 36 which which WDT cord-004073-k6ad4qgu 51 37 the the DT cord-004073-k6ad4qgu 51 38 strategy strategy NN cord-004073-k6ad4qgu 51 39 updates update VBZ cord-004073-k6ad4qgu 51 40 at at IN cord-004073-k6ad4qgu 51 41 the the DT cord-004073-k6ad4qgu 51 42 end end NN cord-004073-k6ad4qgu 51 43 of of IN cord-004073-k6ad4qgu 51 44 the the DT cord-004073-k6ad4qgu 51 45 season season NN cord-004073-k6ad4qgu 51 46 ( ( -LRB- cord-004073-k6ad4qgu 51 47 at at IN cord-004073-k6ad4qgu 51 48 local local JJ cord-004073-k6ad4qgu 51 49 equilibrium equilibrium NN cord-004073-k6ad4qgu 51 50 ) ) -RRB- cord-004073-k6ad4qgu 51 51 , , , cord-004073-k6ad4qgu 51 52 followed follow VBN cord-004073-k6ad4qgu 51 53 by by IN cord-004073-k6ad4qgu 51 54 repeated repeat VBN cord-004073-k6ad4qgu 51 55 seasons season NNS cord-004073-k6ad4qgu 51 56 . . . cord-004073-k6ad4qgu 52 1 Kuga Kuga NNP cord-004073-k6ad4qgu 52 2 & & CC cord-004073-k6ad4qgu 52 3 Tanimoto Tanimoto NNP cord-004073-k6ad4qgu 52 4 [ [ -LRB- cord-004073-k6ad4qgu 52 5 53 53 CD cord-004073-k6ad4qgu 52 6 ] ] -RRB- cord-004073-k6ad4qgu 52 7 developed develop VBD cord-004073-k6ad4qgu 52 8 a a DT cord-004073-k6ad4qgu 52 9 theoretical theoretical JJ cord-004073-k6ad4qgu 52 10 model model NN cord-004073-k6ad4qgu 52 11 of of IN cord-004073-k6ad4qgu 52 12 imperfect imperfect JJ cord-004073-k6ad4qgu 52 13 vaccination vaccination NN cord-004073-k6ad4qgu 52 14 on on IN cord-004073-k6ad4qgu 52 15 local local JJ cord-004073-k6ad4qgu 52 16 and and CC cord-004073-k6ad4qgu 52 17 global global JJ cord-004073-k6ad4qgu 52 18 time time NN cord-004073-k6ad4qgu 52 19 scales scale NNS cord-004073-k6ad4qgu 52 20 and and CC cord-004073-k6ad4qgu 52 21 validated validate VBD cord-004073-k6ad4qgu 52 22 it -PRON- PRP cord-004073-k6ad4qgu 52 23 by by IN cord-004073-k6ad4qgu 52 24 MAS MAS NNP cord-004073-k6ad4qgu 52 25 . . . cord-004073-k6ad4qgu 53 1 However however RB cord-004073-k6ad4qgu 53 2 , , , cord-004073-k6ad4qgu 53 3 Kabir Kabir NNP cord-004073-k6ad4qgu 53 4 & & CC cord-004073-k6ad4qgu 53 5 Tanimoto Tanimoto NNP cord-004073-k6ad4qgu 53 6 [ [ -LRB- cord-004073-k6ad4qgu 53 7 54 54 CD cord-004073-k6ad4qgu 53 8 ] ] -RRB- cord-004073-k6ad4qgu 53 9 claimed claim VBD cord-004073-k6ad4qgu 53 10 that that IN cord-004073-k6ad4qgu 53 11 an an DT cord-004073-k6ad4qgu 53 12 individual individual NN cord-004073-k6ad4qgu 53 13 's 's POS cord-004073-k6ad4qgu 53 14 decision decision NN cord-004073-k6ad4qgu 53 15 to to TO cord-004073-k6ad4qgu 53 16 take take VB cord-004073-k6ad4qgu 53 17 a a DT cord-004073-k6ad4qgu 53 18 vaccination vaccination NN cord-004073-k6ad4qgu 53 19 after after IN cord-004073-k6ad4qgu 53 20 social social JJ cord-004073-k6ad4qgu 53 21 learning learning NN cord-004073-k6ad4qgu 53 22 ( ( -LRB- cord-004073-k6ad4qgu 53 23 dynamical dynamical JJ cord-004073-k6ad4qgu 53 24 behaviour behaviour NN cord-004073-k6ad4qgu 53 25 ) ) -RRB- cord-004073-k6ad4qgu 53 26 also also RB cord-004073-k6ad4qgu 53 27 occurs occur VBZ cord-004073-k6ad4qgu 53 28 on on IN cord-004073-k6ad4qgu 53 29 local local JJ cord-004073-k6ad4qgu 53 30 time time NN cord-004073-k6ad4qgu 53 31 scales scale NNS cord-004073-k6ad4qgu 53 32 , , , cord-004073-k6ad4qgu 53 33 so so IN cord-004073-k6ad4qgu 53 34 this this DT cord-004073-k6ad4qgu 53 35 strategy strategy NN cord-004073-k6ad4qgu 53 36 should should MD cord-004073-k6ad4qgu 53 37 be be VB cord-004073-k6ad4qgu 53 38 updated update VBN cord-004073-k6ad4qgu 53 39 instantly instantly RB cord-004073-k6ad4qgu 53 40 . . . cord-004073-k6ad4qgu 54 1 Accordingly accordingly RB cord-004073-k6ad4qgu 54 2 , , , cord-004073-k6ad4qgu 54 3 it -PRON- PRP cord-004073-k6ad4qgu 54 4 seems seem VBZ cord-004073-k6ad4qgu 54 5 that that IN cord-004073-k6ad4qgu 54 6 the the DT cord-004073-k6ad4qgu 54 7 voluntary voluntary JJ cord-004073-k6ad4qgu 54 8 vaccination vaccination NN cord-004073-k6ad4qgu 54 9 game game NN cord-004073-k6ad4qgu 54 10 approach approach NN cord-004073-k6ad4qgu 54 11 can can MD cord-004073-k6ad4qgu 54 12 be be VB cord-004073-k6ad4qgu 54 13 implemented implement VBN cord-004073-k6ad4qgu 54 14 into into IN cord-004073-k6ad4qgu 54 15 the the DT cord-004073-k6ad4qgu 54 16 local local JJ cord-004073-k6ad4qgu 54 17 time time NN cord-004073-k6ad4qgu 54 18 scale scale NN cord-004073-k6ad4qgu 54 19 while while IN cord-004073-k6ad4qgu 54 20 maintaining maintain VBG cord-004073-k6ad4qgu 54 21 the the DT cord-004073-k6ad4qgu 54 22 framework framework NN cord-004073-k6ad4qgu 54 23 on on IN cord-004073-k6ad4qgu 54 24 the the DT cord-004073-k6ad4qgu 54 25 global global JJ cord-004073-k6ad4qgu 54 26 time time NN cord-004073-k6ad4qgu 54 27 scale scale NN cord-004073-k6ad4qgu 54 28 ( ( -LRB- cord-004073-k6ad4qgu 54 29 strategy strategy NN cord-004073-k6ad4qgu 54 30 update update NN cord-004073-k6ad4qgu 54 31 at at IN cord-004073-k6ad4qgu 54 32 the the DT cord-004073-k6ad4qgu 54 33 end end NN cord-004073-k6ad4qgu 54 34 of of IN cord-004073-k6ad4qgu 54 35 each each DT cord-004073-k6ad4qgu 54 36 season season NN cord-004073-k6ad4qgu 54 37 ) ) -RRB- cord-004073-k6ad4qgu 54 38 . . . cord-004073-k6ad4qgu 55 1 In in IN cord-004073-k6ad4qgu 55 2 the the DT cord-004073-k6ad4qgu 55 3 same same JJ cord-004073-k6ad4qgu 55 4 context context NN cord-004073-k6ad4qgu 55 5 , , , cord-004073-k6ad4qgu 55 6 antiviral antiviral JJ cord-004073-k6ad4qgu 55 7 treatment treatment NN cord-004073-k6ad4qgu 55 8 depends depend VBZ cord-004073-k6ad4qgu 55 9 on on IN cord-004073-k6ad4qgu 55 10 the the DT cord-004073-k6ad4qgu 55 11 local local JJ cord-004073-k6ad4qgu 55 12 time time NN cord-004073-k6ad4qgu 55 13 scale scale NN cord-004073-k6ad4qgu 55 14 , , , cord-004073-k6ad4qgu 55 15 antiviral antiviral JJ cord-004073-k6ad4qgu 55 16 resistance resistance NN cord-004073-k6ad4qgu 55 17 and and CC cord-004073-k6ad4qgu 55 18 prescribing prescribe VBG cord-004073-k6ad4qgu 55 19 behaviour behaviour NN cord-004073-k6ad4qgu 55 20 . . . cord-004073-k6ad4qgu 56 1 To to TO cord-004073-k6ad4qgu 56 2 shed shed VB cord-004073-k6ad4qgu 56 3 light light NN cord-004073-k6ad4qgu 56 4 on on IN cord-004073-k6ad4qgu 56 5 this this DT cord-004073-k6ad4qgu 56 6 complex complex JJ cord-004073-k6ad4qgu 56 7 phenomenon phenomenon NN cord-004073-k6ad4qgu 56 8 , , , cord-004073-k6ad4qgu 56 9 we -PRON- PRP cord-004073-k6ad4qgu 56 10 newly newly RB cord-004073-k6ad4qgu 56 11 propose propose VBP cord-004073-k6ad4qgu 56 12 the the DT cord-004073-k6ad4qgu 56 13 dual dual JJ cord-004073-k6ad4qgu 56 14 - - HYPH cord-004073-k6ad4qgu 56 15 dilemma dilemma NN cord-004073-k6ad4qgu 56 16 game game NN cord-004073-k6ad4qgu 56 17 structure structure NN cord-004073-k6ad4qgu 56 18 that that WDT cord-004073-k6ad4qgu 56 19 considers consider VBZ cord-004073-k6ad4qgu 56 20 the the DT cord-004073-k6ad4qgu 56 21 roles role NNS cord-004073-k6ad4qgu 56 22 of of IN cord-004073-k6ad4qgu 56 23 both both CC cord-004073-k6ad4qgu 56 24 the the DT cord-004073-k6ad4qgu 56 25 proactive proactive JJ cord-004073-k6ad4qgu 56 26 vaccination vaccination NN cord-004073-k6ad4qgu 56 27 and and CC cord-004073-k6ad4qgu 56 28 retroactive retroactive JJ cord-004073-k6ad4qgu 56 29 treatment treatment NN cord-004073-k6ad4qgu 56 30 games game NNS cord-004073-k6ad4qgu 56 31 . . . cord-004073-k6ad4qgu 57 1 This this DT cord-004073-k6ad4qgu 57 2 approach approach NN cord-004073-k6ad4qgu 57 3 admits admit VBZ cord-004073-k6ad4qgu 57 4 different different JJ cord-004073-k6ad4qgu 57 5 strategy strategy NN cord-004073-k6ad4qgu 57 6 update update NN cord-004073-k6ad4qgu 57 7 rules rule NNS cord-004073-k6ad4qgu 57 8 and and CC cord-004073-k6ad4qgu 57 9 different different JJ cord-004073-k6ad4qgu 57 10 time time NN cord-004073-k6ad4qgu 57 11 scales scale NNS cord-004073-k6ad4qgu 57 12 of of IN cord-004073-k6ad4qgu 57 13 the the DT cord-004073-k6ad4qgu 57 14 two two CD cord-004073-k6ad4qgu 57 15 provisions provision NNS cord-004073-k6ad4qgu 57 16 . . . cord-004073-k6ad4qgu 58 1 In in IN cord-004073-k6ad4qgu 58 2 most most JJS cord-004073-k6ad4qgu 58 3 of of IN cord-004073-k6ad4qgu 58 4 the the DT cord-004073-k6ad4qgu 58 5 previous previous JJ cord-004073-k6ad4qgu 58 6 studies study NNS cord-004073-k6ad4qgu 58 7 [ [ -LRB- cord-004073-k6ad4qgu 58 8 5 5 CD cord-004073-k6ad4qgu 58 9 , , , cord-004073-k6ad4qgu 58 10 6 6 CD cord-004073-k6ad4qgu 58 11 , , , cord-004073-k6ad4qgu 58 12 [ [ -LRB- cord-004073-k6ad4qgu 58 13 39 39 CD cord-004073-k6ad4qgu 58 14 ] ] -RRB- cord-004073-k6ad4qgu 58 15 [ [ -LRB- cord-004073-k6ad4qgu 58 16 40 40 CD cord-004073-k6ad4qgu 58 17 ] ] -RRB- cord-004073-k6ad4qgu 58 18 [ [ -LRB- cord-004073-k6ad4qgu 58 19 41 41 CD cord-004073-k6ad4qgu 58 20 ] ] -RRB- cord-004073-k6ad4qgu 58 21 [ [ -LRB- cord-004073-k6ad4qgu 58 22 49 49 CD cord-004073-k6ad4qgu 58 23 ] ] -RRB- cord-004073-k6ad4qgu 58 24 [ [ -LRB- cord-004073-k6ad4qgu 58 25 50 50 CD cord-004073-k6ad4qgu 58 26 ] ] -RRB- cord-004073-k6ad4qgu 58 27 [ [ -LRB- cord-004073-k6ad4qgu 58 28 51 51 CD cord-004073-k6ad4qgu 58 29 ] ] -RRB- cord-004073-k6ad4qgu 58 30 [ [ -LRB- cord-004073-k6ad4qgu 58 31 52 52 CD cord-004073-k6ad4qgu 58 32 ] ] -RRB- cord-004073-k6ad4qgu 58 33 [ [ -LRB- cord-004073-k6ad4qgu 58 34 53 53 CD cord-004073-k6ad4qgu 58 35 ] ] -RRB- cord-004073-k6ad4qgu 58 36 , , , cord-004073-k6ad4qgu 58 37 the the DT cord-004073-k6ad4qgu 58 38 proactive proactive JJ cord-004073-k6ad4qgu 58 39 vaccination vaccination NN cord-004073-k6ad4qgu 58 40 permits permit VBZ cord-004073-k6ad4qgu 58 41 an an DT cord-004073-k6ad4qgu 58 42 individual individual NN cord-004073-k6ad4qgu 58 43 to to TO cord-004073-k6ad4qgu 58 44 accept accept VB cord-004073-k6ad4qgu 58 45 or or CC cord-004073-k6ad4qgu 58 46 decline decline VB cord-004073-k6ad4qgu 58 47 a a DT cord-004073-k6ad4qgu 58 48 vaccination vaccination NN cord-004073-k6ad4qgu 58 49 at at IN cord-004073-k6ad4qgu 58 50 the the DT cord-004073-k6ad4qgu 58 51 end end NN cord-004073-k6ad4qgu 58 52 of of IN cord-004073-k6ad4qgu 58 53 every every DT cord-004073-k6ad4qgu 58 54 epidemic epidemic NN cord-004073-k6ad4qgu 58 55 season season NN cord-004073-k6ad4qgu 58 56 . . . cord-004073-k6ad4qgu 59 1 This this DT cord-004073-k6ad4qgu 59 2 repeated repeat VBN cord-004073-k6ad4qgu 59 3 choice choice NN cord-004073-k6ad4qgu 59 4 is be VBZ cord-004073-k6ad4qgu 59 5 made make VBN cord-004073-k6ad4qgu 59 6 on on IN cord-004073-k6ad4qgu 59 7 global global JJ cord-004073-k6ad4qgu 59 8 time time NN cord-004073-k6ad4qgu 59 9 scales scale NNS cord-004073-k6ad4qgu 59 10 . . . cord-004073-k6ad4qgu 60 1 On on IN cord-004073-k6ad4qgu 60 2 the the DT cord-004073-k6ad4qgu 60 3 other other JJ cord-004073-k6ad4qgu 60 4 hand hand NN cord-004073-k6ad4qgu 60 5 , , , cord-004073-k6ad4qgu 60 6 the the DT cord-004073-k6ad4qgu 60 7 retroactive retroactive JJ cord-004073-k6ad4qgu 60 8 treatment treatment NN cord-004073-k6ad4qgu 60 9 prescribes prescribe VBZ cord-004073-k6ad4qgu 60 10 the the DT cord-004073-k6ad4qgu 60 11 behaviour behaviour NN cord-004073-k6ad4qgu 60 12 and and CC cord-004073-k6ad4qgu 60 13 the the DT cord-004073-k6ad4qgu 60 14 antiviral antiviral JJ cord-004073-k6ad4qgu 60 15 resistance resistance NN cord-004073-k6ad4qgu 60 16 of of IN cord-004073-k6ad4qgu 60 17 a a DT cord-004073-k6ad4qgu 60 18 certain certain JJ cord-004073-k6ad4qgu 60 19 individual individual NN cord-004073-k6ad4qgu 61 1 only only RB cord-004073-k6ad4qgu 61 2 when when WRB cord-004073-k6ad4qgu 61 3 s s NN cord-004073-k6ad4qgu 61 4 / / SYM cord-004073-k6ad4qgu 61 5 he -PRON- PRP cord-004073-k6ad4qgu 61 6 is be VBZ cord-004073-k6ad4qgu 61 7 actually actually RB cord-004073-k6ad4qgu 61 8 infected infect VBN cord-004073-k6ad4qgu 61 9 at at IN cord-004073-k6ad4qgu 61 10 a a DT cord-004073-k6ad4qgu 61 11 certain certain JJ cord-004073-k6ad4qgu 61 12 time time NN cord-004073-k6ad4qgu 61 13 in in IN cord-004073-k6ad4qgu 61 14 an an DT cord-004073-k6ad4qgu 61 15 epidemic epidemic NN cord-004073-k6ad4qgu 61 16 season season NN cord-004073-k6ad4qgu 61 17 , , , cord-004073-k6ad4qgu 61 18 which which WDT cord-004073-k6ad4qgu 61 19 occurs occur VBZ cord-004073-k6ad4qgu 61 20 on on IN cord-004073-k6ad4qgu 61 21 local local JJ cord-004073-k6ad4qgu 61 22 time time NN cord-004073-k6ad4qgu 61 23 scales scale NNS cord-004073-k6ad4qgu 61 24 . . . cord-004073-k6ad4qgu 62 1 An an DT cord-004073-k6ad4qgu 62 2 excessive excessive JJ cord-004073-k6ad4qgu 62 3 antiviral antiviral JJ cord-004073-k6ad4qgu 62 4 treatment treatment NN cord-004073-k6ad4qgu 62 5 may may MD cord-004073-k6ad4qgu 62 6 also also RB cord-004073-k6ad4qgu 62 7 trigger trigger VB cord-004073-k6ad4qgu 62 8 another another DT cord-004073-k6ad4qgu 62 9 viral viral JJ cord-004073-k6ad4qgu 62 10 resistant resistant JJ cord-004073-k6ad4qgu 62 11 strain strain NN cord-004073-k6ad4qgu 62 12 ; ; : cord-004073-k6ad4qgu 62 13 this this DT cord-004073-k6ad4qgu 62 14 behaviour behaviour NN cord-004073-k6ad4qgu 62 15 is be VBZ cord-004073-k6ad4qgu 62 16 an an DT cord-004073-k6ad4qgu 62 17 expected expect VBN cord-004073-k6ad4qgu 62 18 social social JJ cord-004073-k6ad4qgu 62 19 problem problem NN cord-004073-k6ad4qgu 62 20 concerning concern VBG cord-004073-k6ad4qgu 62 21 seasonal seasonal JJ cord-004073-k6ad4qgu 62 22 influenza influenza NN cord-004073-k6ad4qgu 62 23 in in IN cord-004073-k6ad4qgu 62 24 Japan Japan NNP cord-004073-k6ad4qgu 62 25 [ [ -LRB- cord-004073-k6ad4qgu 62 26 55 55 CD cord-004073-k6ad4qgu 62 27 ] ] -RRB- cord-004073-k6ad4qgu 62 28 . . . cord-004073-k6ad4qgu 63 1 In in IN cord-004073-k6ad4qgu 63 2 this this DT cord-004073-k6ad4qgu 63 3 case case NN cord-004073-k6ad4qgu 63 4 , , , cord-004073-k6ad4qgu 63 5 the the DT cord-004073-k6ad4qgu 63 6 so so RB cord-004073-k6ad4qgu 63 7 - - HYPH cord-004073-k6ad4qgu 63 8 called call VBN cord-004073-k6ad4qgu 63 9 vaccination vaccination NN cord-004073-k6ad4qgu 63 10 dilemma dilemma NN cord-004073-k6ad4qgu 63 11 modelled model VBN cord-004073-k6ad4qgu 63 12 by by IN cord-004073-k6ad4qgu 63 13 the the DT cord-004073-k6ad4qgu 63 14 vaccination vaccination NN cord-004073-k6ad4qgu 63 15 game game NN cord-004073-k6ad4qgu 63 16 is be VBZ cord-004073-k6ad4qgu 63 17 joined join VBN cord-004073-k6ad4qgu 63 18 by by IN cord-004073-k6ad4qgu 63 19 another another DT cord-004073-k6ad4qgu 63 20 dilemma dilemma NN cord-004073-k6ad4qgu 63 21 , , , cord-004073-k6ad4qgu 63 22 whereby whereby WRB cord-004073-k6ad4qgu 63 23 an an DT cord-004073-k6ad4qgu 63 24 individual individual JJ cord-004073-k6ad4qgu 63 25 seeking seek VBG cord-004073-k6ad4qgu 63 26 to to TO cord-004073-k6ad4qgu 63 27 use use VB cord-004073-k6ad4qgu 63 28 public public JJ cord-004073-k6ad4qgu 63 29 goods good NNS cord-004073-k6ad4qgu 63 30 ( ( -LRB- cord-004073-k6ad4qgu 63 31 i.e. i.e. FW cord-004073-k6ad4qgu 63 32 accepting accept VBG cord-004073-k6ad4qgu 63 33 the the DT cord-004073-k6ad4qgu 63 34 antiviral antiviral JJ cord-004073-k6ad4qgu 63 35 ) ) -RRB- cord-004073-k6ad4qgu 63 36 induces induce VBZ cord-004073-k6ad4qgu 63 37 another another DT cord-004073-k6ad4qgu 63 38 viral viral JJ cord-004073-k6ad4qgu 63 39 strain strain NN cord-004073-k6ad4qgu 63 40 with with IN cord-004073-k6ad4qgu 63 41 devastating devastating JJ cord-004073-k6ad4qgu 63 42 consequences consequence NNS cord-004073-k6ad4qgu 63 43 for for IN cord-004073-k6ad4qgu 63 44 others other NNS cord-004073-k6ad4qgu 63 45 . . . cord-004073-k6ad4qgu 64 1 Using use VBG cord-004073-k6ad4qgu 64 2 our -PRON- PRP$ cord-004073-k6ad4qgu 64 3 novel novel JJ cord-004073-k6ad4qgu 64 4 idea idea NN cord-004073-k6ad4qgu 64 5 backed back VBN cord-004073-k6ad4qgu 64 6 by by IN cord-004073-k6ad4qgu 64 7 the the DT cord-004073-k6ad4qgu 64 8 theoretical theoretical JJ cord-004073-k6ad4qgu 64 9 game game NN cord-004073-k6ad4qgu 64 10 approach approach NN cord-004073-k6ad4qgu 64 11 , , , cord-004073-k6ad4qgu 64 12 we -PRON- PRP cord-004073-k6ad4qgu 64 13 quantify quantify VBP cord-004073-k6ad4qgu 64 14 the the DT cord-004073-k6ad4qgu 64 15 impact impact NN cord-004073-k6ad4qgu 64 16 of of IN cord-004073-k6ad4qgu 64 17 the the DT cord-004073-k6ad4qgu 64 18 pre pre JJ cord-004073-k6ad4qgu 64 19 - - JJ cord-004073-k6ad4qgu 64 20 emptive emptive JJ cord-004073-k6ad4qgu 64 21 vaccination vaccination NN cord-004073-k6ad4qgu 64 22 game game NN cord-004073-k6ad4qgu 64 23 ( ( -LRB- cord-004073-k6ad4qgu 64 24 before before IN cord-004073-k6ad4qgu 64 25 the the DT cord-004073-k6ad4qgu 64 26 disease disease NN cord-004073-k6ad4qgu 64 27 spreading spread VBG cord-004073-k6ad4qgu 64 28 ) ) -RRB- cord-004073-k6ad4qgu 64 29 and and CC cord-004073-k6ad4qgu 64 30 the the DT cord-004073-k6ad4qgu 64 31 treatment treatment NN cord-004073-k6ad4qgu 64 32 game game NN cord-004073-k6ad4qgu 64 33 ( ( -LRB- cord-004073-k6ad4qgu 64 34 after after IN cord-004073-k6ad4qgu 64 35 the the DT cord-004073-k6ad4qgu 64 36 infection infection NN cord-004073-k6ad4qgu 64 37 ) ) -RRB- cord-004073-k6ad4qgu 64 38 , , , cord-004073-k6ad4qgu 64 39 which which WDT cord-004073-k6ad4qgu 64 40 includes include VBZ cord-004073-k6ad4qgu 64 41 the the DT cord-004073-k6ad4qgu 64 42 prescribing prescribe VBG cord-004073-k6ad4qgu 64 43 behaviour behaviour NN cord-004073-k6ad4qgu 64 44 as as IN cord-004073-k6ad4qgu 64 45 an an DT cord-004073-k6ad4qgu 64 46 ex ex FW cord-004073-k6ad4qgu 64 47 post post NN cord-004073-k6ad4qgu 64 48 provision provision NN cord-004073-k6ad4qgu 64 49 . . . cord-004073-k6ad4qgu 65 1 Both both DT cord-004073-k6ad4qgu 65 2 games game NNS cord-004073-k6ad4qgu 65 3 are be VBP cord-004073-k6ad4qgu 65 4 influenced influence VBN cord-004073-k6ad4qgu 65 5 by by IN cord-004073-k6ad4qgu 65 6 vaccine vaccine NN cord-004073-k6ad4qgu 65 7 effectiveness effectiveness NN cord-004073-k6ad4qgu 65 8 , , , cord-004073-k6ad4qgu 65 9 treatment treatment NN cord-004073-k6ad4qgu 65 10 efficacy efficacy NN cord-004073-k6ad4qgu 65 11 , , , cord-004073-k6ad4qgu 65 12 treatment treatment NN cord-004073-k6ad4qgu 65 13 cost cost NN cord-004073-k6ad4qgu 65 14 and and CC cord-004073-k6ad4qgu 65 15 vaccination vaccination NN cord-004073-k6ad4qgu 65 16 cost cost NN cord-004073-k6ad4qgu 65 17 . . . cord-004073-k6ad4qgu 66 1 Such such JJ cord-004073-k6ad4qgu 66 2 a a DT cord-004073-k6ad4qgu 66 3 double double JJ cord-004073-k6ad4qgu 66 4 social social JJ cord-004073-k6ad4qgu 66 5 dilemma dilemma NN cord-004073-k6ad4qgu 66 6 situation situation NN cord-004073-k6ad4qgu 66 7 , , , cord-004073-k6ad4qgu 66 8 perhaps perhaps RB cord-004073-k6ad4qgu 66 9 quite quite RB cord-004073-k6ad4qgu 66 10 ubiquitous ubiquitous JJ cord-004073-k6ad4qgu 66 11 in in IN cord-004073-k6ad4qgu 66 12 the the DT cord-004073-k6ad4qgu 66 13 real real JJ cord-004073-k6ad4qgu 66 14 world world NN cord-004073-k6ad4qgu 66 15 , , , cord-004073-k6ad4qgu 66 16 has have VBZ cord-004073-k6ad4qgu 66 17 not not RB cord-004073-k6ad4qgu 66 18 been be VBN cord-004073-k6ad4qgu 66 19 considered consider VBN cord-004073-k6ad4qgu 66 20 in in IN cord-004073-k6ad4qgu 66 21 related relate VBN cord-004073-k6ad4qgu 66 22 previous previous JJ cord-004073-k6ad4qgu 66 23 studies study NNS cord-004073-k6ad4qgu 66 24 . . . cord-004073-k6ad4qgu 67 1 The the DT cord-004073-k6ad4qgu 67 2 vaccination vaccination NN cord-004073-k6ad4qgu 67 3 game game NN cord-004073-k6ad4qgu 67 4 in in IN cord-004073-k6ad4qgu 67 5 the the DT cord-004073-k6ad4qgu 67 6 double double JJ cord-004073-k6ad4qgu 67 7 - - HYPH cord-004073-k6ad4qgu 67 8 dilemma dilemma NN cord-004073-k6ad4qgu 67 9 scenario scenario NN cord-004073-k6ad4qgu 67 10 occurs occur VBZ cord-004073-k6ad4qgu 67 11 on on IN cord-004073-k6ad4qgu 67 12 a a DT cord-004073-k6ad4qgu 67 13 larger large JJR cord-004073-k6ad4qgu 67 14 time time NN cord-004073-k6ad4qgu 67 15 scale scale NN cord-004073-k6ad4qgu 67 16 ( ( -LRB- cord-004073-k6ad4qgu 67 17 over over IN cord-004073-k6ad4qgu 67 18 repeated repeat VBN cord-004073-k6ad4qgu 67 19 seasons season NNS cord-004073-k6ad4qgu 67 20 ) ) -RRB- cord-004073-k6ad4qgu 67 21 than than IN cord-004073-k6ad4qgu 67 22 the the DT cord-004073-k6ad4qgu 67 23 treatment treatment NN cord-004073-k6ad4qgu 67 24 game game NN cord-004073-k6ad4qgu 67 25 , , , cord-004073-k6ad4qgu 67 26 which which WDT cord-004073-k6ad4qgu 67 27 occurs occur VBZ cord-004073-k6ad4qgu 67 28 on on IN cord-004073-k6ad4qgu 67 29 a a DT cord-004073-k6ad4qgu 67 30 day day NN cord-004073-k6ad4qgu 67 31 - - HYPH cord-004073-k6ad4qgu 67 32 by by IN cord-004073-k6ad4qgu 67 33 - - HYPH cord-004073-k6ad4qgu 67 34 day day NN cord-004073-k6ad4qgu 67 35 basis basis NN cord-004073-k6ad4qgu 67 36 . . . cord-004073-k6ad4qgu 68 1 Therefore therefore RB cord-004073-k6ad4qgu 68 2 , , , cord-004073-k6ad4qgu 68 3 a a DT cord-004073-k6ad4qgu 68 4 coevolutionary coevolutionary JJ cord-004073-k6ad4qgu 68 5 process process NN cord-004073-k6ad4qgu 68 6 can can MD cord-004073-k6ad4qgu 68 7 be be VB cord-004073-k6ad4qgu 68 8 plausibly plausibly RB cord-004073-k6ad4qgu 68 9 modelled model VBN cord-004073-k6ad4qgu 68 10 in in IN cord-004073-k6ad4qgu 68 11 the the DT cord-004073-k6ad4qgu 68 12 present present JJ cord-004073-k6ad4qgu 68 13 study study NN cord-004073-k6ad4qgu 68 14 . . . cord-004073-k6ad4qgu 69 1 We -PRON- PRP cord-004073-k6ad4qgu 69 2 employ employ VBP cord-004073-k6ad4qgu 69 3 a a DT cord-004073-k6ad4qgu 69 4 pre pre JJ cord-004073-k6ad4qgu 69 5 - - JJ cord-004073-k6ad4qgu 69 6 emptive emptive JJ cord-004073-k6ad4qgu 69 7 control control NN cord-004073-k6ad4qgu 69 8 measure measure NN cord-004073-k6ad4qgu 69 9 that that WDT cord-004073-k6ad4qgu 69 10 prevents prevent VBZ cord-004073-k6ad4qgu 69 11 the the DT cord-004073-k6ad4qgu 69 12 breakout breakout NN cord-004073-k6ad4qgu 69 13 of of IN cord-004073-k6ad4qgu 69 14 infection infection NN cord-004073-k6ad4qgu 69 15 at at IN cord-004073-k6ad4qgu 69 16 an an DT cord-004073-k6ad4qgu 69 17 early early JJ cord-004073-k6ad4qgu 69 18 stage stage NN cord-004073-k6ad4qgu 69 19 based base VBN cord-004073-k6ad4qgu 69 20 on on IN cord-004073-k6ad4qgu 69 21 an an DT cord-004073-k6ad4qgu 69 22 individual individual NN cord-004073-k6ad4qgu 69 23 's 's POS cord-004073-k6ad4qgu 69 24 decision decision NN cord-004073-k6ad4qgu 69 25 . . . cord-004073-k6ad4qgu 70 1 Meanwhile meanwhile RB cord-004073-k6ad4qgu 70 2 , , , cord-004073-k6ad4qgu 70 3 the the DT cord-004073-k6ad4qgu 70 4 ex ex FW cord-004073-k6ad4qgu 70 5 post post NN cord-004073-k6ad4qgu 70 6 treatment treatment NN cord-004073-k6ad4qgu 70 7 can can MD cord-004073-k6ad4qgu 70 8 be be VB cord-004073-k6ad4qgu 70 9 regarded regard VBN cord-004073-k6ad4qgu 70 10 as as IN cord-004073-k6ad4qgu 70 11 a a DT cord-004073-k6ad4qgu 70 12 fail fail VB cord-004073-k6ad4qgu 70 13 - - HYPH cord-004073-k6ad4qgu 70 14 safe safe JJ cord-004073-k6ad4qgu 70 15 provision provision NN cord-004073-k6ad4qgu 70 16 implemented implement VBN cord-004073-k6ad4qgu 70 17 after after IN cord-004073-k6ad4qgu 70 18 infection infection NN cord-004073-k6ad4qgu 70 19 . . . cord-004073-k6ad4qgu 71 1 Owing owe VBG cord-004073-k6ad4qgu 71 2 to to IN cord-004073-k6ad4qgu 71 3 the the DT cord-004073-k6ad4qgu 71 4 imperfections imperfection NNS cord-004073-k6ad4qgu 71 5 of of IN cord-004073-k6ad4qgu 71 6 vaccines vaccine NNS cord-004073-k6ad4qgu 71 7 and and CC cord-004073-k6ad4qgu 71 8 the the DT cord-004073-k6ad4qgu 71 9 unwillingness unwillingness NN cord-004073-k6ad4qgu 71 10 to to TO cord-004073-k6ad4qgu 71 11 take take VB cord-004073-k6ad4qgu 71 12 vaccines vaccine NNS cord-004073-k6ad4qgu 71 13 as as IN cord-004073-k6ad4qgu 71 14 a a DT cord-004073-k6ad4qgu 71 15 pre pre JJ cord-004073-k6ad4qgu 71 16 - - JJ cord-004073-k6ad4qgu 71 17 emptive emptive JJ cord-004073-k6ad4qgu 71 18 provision provision NN cord-004073-k6ad4qgu 71 19 , , , cord-004073-k6ad4qgu 71 20 people people NNS cord-004073-k6ad4qgu 71 21 probably probably RB cord-004073-k6ad4qgu 71 22 consider consider VBP cord-004073-k6ad4qgu 71 23 a a DT cord-004073-k6ad4qgu 71 24 retroactive retroactive JJ cord-004073-k6ad4qgu 71 25 treatment treatment NN cord-004073-k6ad4qgu 71 26 as as IN cord-004073-k6ad4qgu 71 27 the the DT cord-004073-k6ad4qgu 71 28 ' ' `` cord-004073-k6ad4qgu 71 29 ultimate ultimate JJ cord-004073-k6ad4qgu 71 30 weapon weapon NN cord-004073-k6ad4qgu 71 31 ' ' '' cord-004073-k6ad4qgu 71 32 against against IN cord-004073-k6ad4qgu 71 33 disease disease NN cord-004073-k6ad4qgu 71 34 dispersion dispersion NN cord-004073-k6ad4qgu 71 35 . . . cord-004073-k6ad4qgu 72 1 However however RB cord-004073-k6ad4qgu 72 2 , , , cord-004073-k6ad4qgu 72 3 overuse overuse NN cord-004073-k6ad4qgu 72 4 of of IN cord-004073-k6ad4qgu 72 5 antiviral antiviral JJ cord-004073-k6ad4qgu 72 6 treatment treatment NN cord-004073-k6ad4qgu 72 7 and and CC cord-004073-k6ad4qgu 72 8 prescribing prescribe VBG cord-004073-k6ad4qgu 72 9 behaviour behaviour NN cord-004073-k6ad4qgu 72 10 can can MD cord-004073-k6ad4qgu 72 11 trigger trigger VB cord-004073-k6ad4qgu 72 12 the the DT cord-004073-k6ad4qgu 72 13 emergence emergence NN cord-004073-k6ad4qgu 72 14 of of IN cord-004073-k6ad4qgu 72 15 resistant resistant JJ cord-004073-k6ad4qgu 72 16 strains strain NNS cord-004073-k6ad4qgu 72 17 , , , cord-004073-k6ad4qgu 72 18 encouraging encourage VBG cord-004073-k6ad4qgu 72 19 more more JJR cord-004073-k6ad4qgu 72 20 ex ex AFX cord-004073-k6ad4qgu 72 21 post post NN cord-004073-k6ad4qgu 72 22 provision provision NN cord-004073-k6ad4qgu 72 23 activity activity NN cord-004073-k6ad4qgu 72 24 by by IN cord-004073-k6ad4qgu 72 25 individuals individual NNS cord-004073-k6ad4qgu 72 26 . . . cord-004073-k6ad4qgu 73 1 To to TO cord-004073-k6ad4qgu 73 2 handle handle VB cord-004073-k6ad4qgu 73 3 these these DT cord-004073-k6ad4qgu 73 4 two two CD cord-004073-k6ad4qgu 73 5 provisions provision NNS cord-004073-k6ad4qgu 73 6 working work VBG cord-004073-k6ad4qgu 73 7 on on IN cord-004073-k6ad4qgu 73 8 different different JJ cord-004073-k6ad4qgu 73 9 time time NN cord-004073-k6ad4qgu 73 10 scales scale NNS cord-004073-k6ad4qgu 73 11 , , , cord-004073-k6ad4qgu 73 12 our -PRON- PRP$ cord-004073-k6ad4qgu 73 13 model model NN cord-004073-k6ad4qgu 73 14 implants implant VBZ cord-004073-k6ad4qgu 73 15 the the DT cord-004073-k6ad4qgu 73 16 second second JJ cord-004073-k6ad4qgu 73 17 social social JJ cord-004073-k6ad4qgu 73 18 dilemma dilemma NN cord-004073-k6ad4qgu 73 19 incurred incur VBN cord-004073-k6ad4qgu 73 20 by by IN cord-004073-k6ad4qgu 73 21 the the DT cord-004073-k6ad4qgu 73 22 antiviral antiviral JJ cord-004073-k6ad4qgu 73 23 treatment treatment NN cord-004073-k6ad4qgu 73 24 rather rather RB cord-004073-k6ad4qgu 73 25 than than IN cord-004073-k6ad4qgu 73 26 the the DT cord-004073-k6ad4qgu 73 27 so so RB cord-004073-k6ad4qgu 73 28 - - HYPH cord-004073-k6ad4qgu 73 29 called call VBN cord-004073-k6ad4qgu 73 30 vaccination vaccination NN cord-004073-k6ad4qgu 73 31 dilemma dilemma NN cord-004073-k6ad4qgu 73 32 acquired acquire VBN cord-004073-k6ad4qgu 73 33 by by IN cord-004073-k6ad4qgu 73 34 the the DT cord-004073-k6ad4qgu 73 35 proactive proactive JJ cord-004073-k6ad4qgu 73 36 provision provision NN cord-004073-k6ad4qgu 73 37 . . . cord-004073-k6ad4qgu 74 1 To to IN cord-004073-k6ad4qgu 74 2 our -PRON- PRP$ cord-004073-k6ad4qgu 74 3 knowledge knowledge NN cord-004073-k6ad4qgu 74 4 , , , cord-004073-k6ad4qgu 74 5 no no DT cord-004073-k6ad4qgu 74 6 previous previous JJ cord-004073-k6ad4qgu 74 7 theoretical theoretical JJ cord-004073-k6ad4qgu 74 8 analysis analysis NN cord-004073-k6ad4qgu 74 9 has have VBZ cord-004073-k6ad4qgu 74 10 considered consider VBN cord-004073-k6ad4qgu 74 11 two two CD cord-004073-k6ad4qgu 74 12 provisions provision NNS cord-004073-k6ad4qgu 74 13 in in IN cord-004073-k6ad4qgu 74 14 the the DT cord-004073-k6ad4qgu 74 15 same same JJ cord-004073-k6ad4qgu 74 16 context context NN cord-004073-k6ad4qgu 74 17 of of IN cord-004073-k6ad4qgu 74 18 the the DT cord-004073-k6ad4qgu 74 19 evolutionary evolutionary JJ cord-004073-k6ad4qgu 74 20 game game NN cord-004073-k6ad4qgu 74 21 process process NN cord-004073-k6ad4qgu 74 22 . . . cord-004073-k6ad4qgu 75 1 We -PRON- PRP cord-004073-k6ad4qgu 75 2 also also RB cord-004073-k6ad4qgu 75 3 develop develop VBP cord-004073-k6ad4qgu 75 4 another another DT cord-004073-k6ad4qgu 75 5 new new JJ cord-004073-k6ad4qgu 75 6 concept concept NN cord-004073-k6ad4qgu 75 7 called call VBN cord-004073-k6ad4qgu 75 8 the the DT cord-004073-k6ad4qgu 75 9 social social JJ cord-004073-k6ad4qgu 75 10 efficiency efficiency NN cord-004073-k6ad4qgu 75 11 deficit deficit NN cord-004073-k6ad4qgu 75 12 ( ( -LRB- cord-004073-k6ad4qgu 75 13 SED sed NN cord-004073-k6ad4qgu 75 14 ) ) -RRB- cord-004073-k6ad4qgu 75 15 . . . cord-004073-k6ad4qgu 76 1 Such such JJ cord-004073-k6ad4qgu 76 2 a a DT cord-004073-k6ad4qgu 76 3 framework framework NN cord-004073-k6ad4qgu 76 4 can can MD cord-004073-k6ad4qgu 76 5 explicitly explicitly RB cord-004073-k6ad4qgu 76 6 elucidate elucidate VB cord-004073-k6ad4qgu 76 7 the the DT cord-004073-k6ad4qgu 76 8 social social JJ cord-004073-k6ad4qgu 76 9 dual dual JJ cord-004073-k6ad4qgu 76 10 - - HYPH cord-004073-k6ad4qgu 76 11 dilemma dilemma NN cord-004073-k6ad4qgu 76 12 on on IN cord-004073-k6ad4qgu 76 13 both both CC cord-004073-k6ad4qgu 76 14 global global JJ cord-004073-k6ad4qgu 76 15 ( ( -LRB- cord-004073-k6ad4qgu 76 16 vaccination vaccination NN cord-004073-k6ad4qgu 76 17 ) ) -RRB- cord-004073-k6ad4qgu 76 18 and and CC cord-004073-k6ad4qgu 76 19 local local JJ cord-004073-k6ad4qgu 76 20 ( ( -LRB- cord-004073-k6ad4qgu 76 21 treatment treatment NN cord-004073-k6ad4qgu 76 22 ) ) -RRB- cord-004073-k6ad4qgu 76 23 time time NN cord-004073-k6ad4qgu 76 24 scales scale NNS cord-004073-k6ad4qgu 76 25 . . . cord-004073-k6ad4qgu 77 1 In in IN cord-004073-k6ad4qgu 77 2 our -PRON- PRP$ cord-004073-k6ad4qgu 77 3 model model NN cord-004073-k6ad4qgu 77 4 , , , cord-004073-k6ad4qgu 77 5 the the DT cord-004073-k6ad4qgu 77 6 retroactive retroactive JJ cord-004073-k6ad4qgu 77 7 antiviral antiviral JJ cord-004073-k6ad4qgu 77 8 treatment treatment NN cord-004073-k6ad4qgu 77 9 targets target VBZ cord-004073-k6ad4qgu 77 10 the the DT cord-004073-k6ad4qgu 77 11 individuals individual NNS cord-004073-k6ad4qgu 77 12 harbouring harbour VBG cord-004073-k6ad4qgu 77 13 a a DT cord-004073-k6ad4qgu 77 14 sensitive sensitive JJ cord-004073-k6ad4qgu 77 15 or or CC cord-004073-k6ad4qgu 77 16 resistant resistant JJ cord-004073-k6ad4qgu 77 17 strain strain NN cord-004073-k6ad4qgu 77 18 that that WDT cord-004073-k6ad4qgu 77 19 is be VBZ cord-004073-k6ad4qgu 77 20 controlled control VBN cord-004073-k6ad4qgu 77 21 by by IN cord-004073-k6ad4qgu 77 22 the the DT cord-004073-k6ad4qgu 77 23 treatment treatment NN cord-004073-k6ad4qgu 77 24 ( ( -LRB- cord-004073-k6ad4qgu 77 25 antiviral antiviral JJ cord-004073-k6ad4qgu 77 26 / / SYM cord-004073-k6ad4qgu 77 27 antibiotic antibiotic NN cord-004073-k6ad4qgu 77 28 ) ) -RRB- cord-004073-k6ad4qgu 77 29 potency potency NN cord-004073-k6ad4qgu 77 30 ( ( -LRB- cord-004073-k6ad4qgu 77 31 efficacy efficacy NN cord-004073-k6ad4qgu 77 32 ) ) -RRB- cord-004073-k6ad4qgu 77 33 . . . cord-004073-k6ad4qgu 78 1 The the DT cord-004073-k6ad4qgu 78 2 resistant resistant JJ cord-004073-k6ad4qgu 78 3 strain strain NN cord-004073-k6ad4qgu 78 4 incurs incur VBZ cord-004073-k6ad4qgu 78 5 a a DT cord-004073-k6ad4qgu 78 6 high high JJ cord-004073-k6ad4qgu 78 7 medical medical JJ cord-004073-k6ad4qgu 78 8 cost cost NN cord-004073-k6ad4qgu 78 9 , , , cord-004073-k6ad4qgu 78 10 mortality mortality NN cord-004073-k6ad4qgu 78 11 and and CC cord-004073-k6ad4qgu 78 12 the the DT cord-004073-k6ad4qgu 78 13 risk risk NN cord-004073-k6ad4qgu 78 14 of of IN cord-004073-k6ad4qgu 78 15 antiviral antiviral JJ cord-004073-k6ad4qgu 78 16 / / SYM cord-004073-k6ad4qgu 78 17 antibiotic antibiotic JJ cord-004073-k6ad4qgu 78 18 use use NN cord-004073-k6ad4qgu 78 19 , , , cord-004073-k6ad4qgu 78 20 which which WDT cord-004073-k6ad4qgu 78 21 increases increase VBZ cord-004073-k6ad4qgu 78 22 when when WRB cord-004073-k6ad4qgu 78 23 the the DT cord-004073-k6ad4qgu 78 24 demand demand NN cord-004073-k6ad4qgu 78 25 for for IN cord-004073-k6ad4qgu 78 26 antiviral antiviral JJ cord-004073-k6ad4qgu 78 27 use use NN cord-004073-k6ad4qgu 78 28 is be VBZ cord-004073-k6ad4qgu 78 29 driven drive VBN cord-004073-k6ad4qgu 78 30 by by IN cord-004073-k6ad4qgu 78 31 the the DT cord-004073-k6ad4qgu 78 32 individual individual NN cord-004073-k6ad4qgu 78 33 's 's POS cord-004073-k6ad4qgu 78 34 self self NN cord-004073-k6ad4qgu 78 35 - - HYPH cord-004073-k6ad4qgu 78 36 interest interest NN cord-004073-k6ad4qgu 78 37 and and CC cord-004073-k6ad4qgu 78 38 overprescribing overprescribing NN cord-004073-k6ad4qgu 78 39 . . . cord-004073-k6ad4qgu 79 1 Here here RB cord-004073-k6ad4qgu 79 2 , , , cord-004073-k6ad4qgu 79 3 we -PRON- PRP cord-004073-k6ad4qgu 79 4 emphasize emphasize VBP cord-004073-k6ad4qgu 79 5 the the DT cord-004073-k6ad4qgu 79 6 social social JJ cord-004073-k6ad4qgu 79 7 learning learning NN cord-004073-k6ad4qgu 79 8 behaviour behaviour NN cord-004073-k6ad4qgu 79 9 for for IN cord-004073-k6ad4qgu 79 10 prescription prescription NN cord-004073-k6ad4qgu 79 11 of of IN cord-004073-k6ad4qgu 79 12 antiviral antiviral JJ cord-004073-k6ad4qgu 79 13 treatment treatment NN cord-004073-k6ad4qgu 79 14 under under IN cord-004073-k6ad4qgu 79 15 the the DT cord-004073-k6ad4qgu 79 16 evolutionary evolutionary JJ cord-004073-k6ad4qgu 79 17 dynamics dynamic NNS cord-004073-k6ad4qgu 79 18 of of IN cord-004073-k6ad4qgu 79 19 resistance resistance NN cord-004073-k6ad4qgu 79 20 that that WDT cord-004073-k6ad4qgu 79 21 can can MD cord-004073-k6ad4qgu 79 22 uphold uphold VB cord-004073-k6ad4qgu 79 23 the the DT cord-004073-k6ad4qgu 79 24 optimal optimal JJ cord-004073-k6ad4qgu 79 25 use use NN cord-004073-k6ad4qgu 79 26 of of IN cord-004073-k6ad4qgu 79 27 the the DT cord-004073-k6ad4qgu 79 28 treatment treatment NN cord-004073-k6ad4qgu 79 29 . . . cord-004073-k6ad4qgu 80 1 To to TO cord-004073-k6ad4qgu 80 2 explore explore VB cord-004073-k6ad4qgu 80 3 this this DT cord-004073-k6ad4qgu 80 4 evolutionary evolutionary JJ cord-004073-k6ad4qgu 80 5 process process NN cord-004073-k6ad4qgu 80 6 of of IN cord-004073-k6ad4qgu 80 7 vaccination vaccination NN cord-004073-k6ad4qgu 80 8 and and CC cord-004073-k6ad4qgu 80 9 treatment treatment NN cord-004073-k6ad4qgu 80 10 , , , cord-004073-k6ad4qgu 80 11 we -PRON- PRP cord-004073-k6ad4qgu 80 12 impose impose VBP cord-004073-k6ad4qgu 80 13 three three CD cord-004073-k6ad4qgu 80 14 strategy strategy NN cord-004073-k6ad4qgu 80 15 update update NN cord-004073-k6ad4qgu 80 16 rules rule NNS cord-004073-k6ad4qgu 80 17 : : : cord-004073-k6ad4qgu 80 18 individual individual NN cord-004073-k6ad4qgu 80 19 - - HYPH cord-004073-k6ad4qgu 80 20 based base VBN cord-004073-k6ad4qgu 80 21 risk risk NN cord-004073-k6ad4qgu 80 22 assessment assessment NN cord-004073-k6ad4qgu 80 23 ( ( -LRB- cord-004073-k6ad4qgu 80 24 IB IB NNP cord-004073-k6ad4qgu 80 25 - - HYPH cord-004073-k6ad4qgu 80 26 RA RA NNP cord-004073-k6ad4qgu 80 27 ) ) -RRB- cord-004073-k6ad4qgu 80 28 , , , cord-004073-k6ad4qgu 80 29 society society NN cord-004073-k6ad4qgu 80 30 - - HYPH cord-004073-k6ad4qgu 80 31 based base VBN cord-004073-k6ad4qgu 80 32 risk risk NN cord-004073-k6ad4qgu 80 33 assessment assessment NN cord-004073-k6ad4qgu 80 34 ( ( -LRB- cord-004073-k6ad4qgu 80 35 SB SB NNP cord-004073-k6ad4qgu 80 36 - - HYPH cord-004073-k6ad4qgu 80 37 RA RA NNP cord-004073-k6ad4qgu 80 38 ) ) -RRB- cord-004073-k6ad4qgu 80 39 and and CC cord-004073-k6ad4qgu 80 40 direct direct JJ cord-004073-k6ad4qgu 80 41 commitment commitment NN cord-004073-k6ad4qgu 80 42 ( ( -LRB- cord-004073-k6ad4qgu 80 43 DC DC NNP cord-004073-k6ad4qgu 80 44 ) ) -RRB- cord-004073-k6ad4qgu 80 45 . . . cord-004073-k6ad4qgu 81 1 These these DT cord-004073-k6ad4qgu 81 2 rules rule NNS cord-004073-k6ad4qgu 81 3 govern govern VBP cord-004073-k6ad4qgu 81 4 the the DT cord-004073-k6ad4qgu 81 5 individual individual NN cord-004073-k6ad4qgu 81 6 's 's POS cord-004073-k6ad4qgu 81 7 connection connection NN cord-004073-k6ad4qgu 81 8 with with IN cord-004073-k6ad4qgu 81 9 society society NN cord-004073-k6ad4qgu 81 10 . . . cord-004073-k6ad4qgu 82 1 Moreover moreover RB cord-004073-k6ad4qgu 82 2 , , , cord-004073-k6ad4qgu 82 3 we -PRON- PRP cord-004073-k6ad4qgu 82 4 derive derive VBP cord-004073-k6ad4qgu 82 5 the the DT cord-004073-k6ad4qgu 82 6 control control NN cord-004073-k6ad4qgu 82 7 reproduction reproduction NN cord-004073-k6ad4qgu 82 8 numbers number NNS cord-004073-k6ad4qgu 82 9 of of IN cord-004073-k6ad4qgu 82 10 the the DT cord-004073-k6ad4qgu 82 11 sensitive sensitive JJ cord-004073-k6ad4qgu 82 12 and and CC cord-004073-k6ad4qgu 82 13 resistant resistant JJ cord-004073-k6ad4qgu 82 14 strains strain NNS cord-004073-k6ad4qgu 82 15 , , , cord-004073-k6ad4qgu 82 16 and and CC cord-004073-k6ad4qgu 82 17 hence hence RB cord-004073-k6ad4qgu 82 18 analyse analyse VB cord-004073-k6ad4qgu 82 19 the the DT cord-004073-k6ad4qgu 82 20 disease disease NN cord-004073-k6ad4qgu 82 21 - - HYPH cord-004073-k6ad4qgu 82 22 free free JJ cord-004073-k6ad4qgu 82 23 equilibria equilibrium NNS cord-004073-k6ad4qgu 82 24 situations situation NNS cord-004073-k6ad4qgu 82 25 in in IN cord-004073-k6ad4qgu 82 26 an an DT cord-004073-k6ad4qgu 82 27 epidemic epidemic NN cord-004073-k6ad4qgu 82 28 . . . cord-004073-k6ad4qgu 83 1 The the DT cord-004073-k6ad4qgu 83 2 remainder remainder NN cord-004073-k6ad4qgu 83 3 of of IN cord-004073-k6ad4qgu 83 4 this this DT cord-004073-k6ad4qgu 83 5 paper paper NN cord-004073-k6ad4qgu 83 6 is be VBZ cord-004073-k6ad4qgu 83 7 organized organize VBN cord-004073-k6ad4qgu 83 8 as as IN cord-004073-k6ad4qgu 83 9 follows follow NNS cord-004073-k6ad4qgu 83 10 . . . cord-004073-k6ad4qgu 84 1 The the DT cord-004073-k6ad4qgu 84 2 ' ' `` cord-004073-k6ad4qgu 84 3 Methods Methods NNPS cord-004073-k6ad4qgu 84 4 and and CC cord-004073-k6ad4qgu 84 5 model model NN cord-004073-k6ad4qgu 84 6 ' ' '' cord-004073-k6ad4qgu 84 7 section section NN cord-004073-k6ad4qgu 84 8 introduces introduce VBZ cord-004073-k6ad4qgu 84 9 the the DT cord-004073-k6ad4qgu 84 10 new new JJ cord-004073-k6ad4qgu 84 11 model model NN cord-004073-k6ad4qgu 84 12 of of IN cord-004073-k6ad4qgu 84 13 epidemic epidemic NN cord-004073-k6ad4qgu 84 14 vaccination vaccination NN cord-004073-k6ad4qgu 84 15 with with IN cord-004073-k6ad4qgu 84 16 the the DT cord-004073-k6ad4qgu 84 17 antiviral antiviral JJ cord-004073-k6ad4qgu 84 18 treatment treatment NN cord-004073-k6ad4qgu 84 19 model model NN cord-004073-k6ad4qgu 84 20 and and CC cord-004073-k6ad4qgu 84 21 demonstrates demonstrate VBZ cord-004073-k6ad4qgu 84 22 it -PRON- PRP cord-004073-k6ad4qgu 84 23 schematically schematically RB cord-004073-k6ad4qgu 84 24 . . . cord-004073-k6ad4qgu 85 1 The the DT cord-004073-k6ad4qgu 85 2 ' ' `` cord-004073-k6ad4qgu 85 3 Results result NNS cord-004073-k6ad4qgu 85 4 and and CC cord-004073-k6ad4qgu 85 5 discussion discussion NN cord-004073-k6ad4qgu 85 6 ' ' '' cord-004073-k6ad4qgu 85 7 section section NN cord-004073-k6ad4qgu 85 8 validates validate VBZ cord-004073-k6ad4qgu 85 9 the the DT cord-004073-k6ad4qgu 85 10 proposed propose VBN cord-004073-k6ad4qgu 85 11 model model NN cord-004073-k6ad4qgu 85 12 in in IN cord-004073-k6ad4qgu 85 13 numerical numerical JJ cord-004073-k6ad4qgu 85 14 simulations simulation NNS cord-004073-k6ad4qgu 85 15 . . . cord-004073-k6ad4qgu 86 1 Finally finally RB cord-004073-k6ad4qgu 86 2 , , , cord-004073-k6ad4qgu 86 3 the the DT cord-004073-k6ad4qgu 86 4 ' ' `` cord-004073-k6ad4qgu 86 5 Conclusion conclusion NN cord-004073-k6ad4qgu 86 6 ' ' '' cord-004073-k6ad4qgu 86 7 section section NN cord-004073-k6ad4qgu 86 8 summarizes summarize VBZ cord-004073-k6ad4qgu 86 9 and and CC cord-004073-k6ad4qgu 86 10 further further RB cord-004073-k6ad4qgu 86 11 discusses discuss VBZ cord-004073-k6ad4qgu 86 12 our -PRON- PRP$ cord-004073-k6ad4qgu 86 13 findings finding NNS cord-004073-k6ad4qgu 86 14 . . . cord-004073-k6ad4qgu 87 1 To to TO cord-004073-k6ad4qgu 87 2 model model VB cord-004073-k6ad4qgu 87 3 the the DT cord-004073-k6ad4qgu 87 4 social social JJ cord-004073-k6ad4qgu 87 5 dual dual JJ cord-004073-k6ad4qgu 87 6 - - HYPH cord-004073-k6ad4qgu 87 7 dilemma dilemma NN cord-004073-k6ad4qgu 87 8 as as IN cord-004073-k6ad4qgu 87 9 a a DT cord-004073-k6ad4qgu 87 10 two two CD cord-004073-k6ad4qgu 87 11 - - HYPH cord-004073-k6ad4qgu 87 12 stage stage NN cord-004073-k6ad4qgu 87 13 game game NN cord-004073-k6ad4qgu 87 14 , , , cord-004073-k6ad4qgu 87 15 the the DT cord-004073-k6ad4qgu 87 16 pre pre JJ cord-004073-k6ad4qgu 87 17 - - JJ cord-004073-k6ad4qgu 87 18 emptive emptive JJ cord-004073-k6ad4qgu 87 19 vaccination vaccination NN cord-004073-k6ad4qgu 87 20 and and CC cord-004073-k6ad4qgu 87 21 ex ex FW cord-004073-k6ad4qgu 87 22 post post NN cord-004073-k6ad4qgu 87 23 treatment treatment NN cord-004073-k6ad4qgu 87 24 are be VBP cord-004073-k6ad4qgu 87 25 developed develop VBN cord-004073-k6ad4qgu 87 26 in in IN cord-004073-k6ad4qgu 87 27 the the DT cord-004073-k6ad4qgu 87 28 framework framework NN cord-004073-k6ad4qgu 87 29 of of IN cord-004073-k6ad4qgu 87 30 SIR SIR NNP cord-004073-k6ad4qgu 87 31 epidemic epidemic NN cord-004073-k6ad4qgu 87 32 dynamics dynamic NNS cord-004073-k6ad4qgu 87 33 in in IN cord-004073-k6ad4qgu 87 34 a a DT cord-004073-k6ad4qgu 87 35 well well RB cord-004073-k6ad4qgu 87 36 - - HYPH cord-004073-k6ad4qgu 87 37 mixed mix VBN cord-004073-k6ad4qgu 87 38 population population NN cord-004073-k6ad4qgu 87 39 ( ( -LRB- cord-004073-k6ad4qgu 87 40 figure figure NN cord-004073-k6ad4qgu 87 41 1 1 CD cord-004073-k6ad4qgu 87 42 ) ) -RRB- cord-004073-k6ad4qgu 87 43 . . . cord-004073-k6ad4qgu 88 1 In in IN cord-004073-k6ad4qgu 88 2 stage stage NN cord-004073-k6ad4qgu 88 3 1 1 CD cord-004073-k6ad4qgu 88 4 , , , cord-004073-k6ad4qgu 88 5 the the DT cord-004073-k6ad4qgu 88 6 individuals individual NNS cord-004073-k6ad4qgu 88 7 make make VBP cord-004073-k6ad4qgu 88 8 their -PRON- PRP$ cord-004073-k6ad4qgu 88 9 vaccination vaccination NN cord-004073-k6ad4qgu 88 10 decisions decision NNS cord-004073-k6ad4qgu 88 11 ( ( -LRB- cord-004073-k6ad4qgu 88 12 yes yes UH cord-004073-k6ad4qgu 88 13 or or CC cord-004073-k6ad4qgu 88 14 no no UH cord-004073-k6ad4qgu 88 15 ) ) -RRB- cord-004073-k6ad4qgu 88 16 that that WDT cord-004073-k6ad4qgu 88 17 will will MD cord-004073-k6ad4qgu 88 18 control control VB cord-004073-k6ad4qgu 88 19 their -PRON- PRP$ cord-004073-k6ad4qgu 88 20 infection infection NN cord-004073-k6ad4qgu 88 21 risk risk NN cord-004073-k6ad4qgu 88 22 during during IN cord-004073-k6ad4qgu 88 23 the the DT cord-004073-k6ad4qgu 88 24 pandemic pandemic NN cord-004073-k6ad4qgu 88 25 season season NN cord-004073-k6ad4qgu 88 26 . . . cord-004073-k6ad4qgu 89 1 In in IN cord-004073-k6ad4qgu 89 2 stage stage NN cord-004073-k6ad4qgu 89 3 2 2 CD cord-004073-k6ad4qgu 89 4 , , , cord-004073-k6ad4qgu 89 5 the the DT cord-004073-k6ad4qgu 89 6 infected infected JJ cord-004073-k6ad4qgu 89 7 people people NNS cord-004073-k6ad4qgu 89 8 with with IN cord-004073-k6ad4qgu 89 9 either either CC cord-004073-k6ad4qgu 89 10 the the DT cord-004073-k6ad4qgu 89 11 sensitive sensitive JJ cord-004073-k6ad4qgu 89 12 strain strain NN cord-004073-k6ad4qgu 89 13 or or CC cord-004073-k6ad4qgu 89 14 resistant resistant JJ cord-004073-k6ad4qgu 89 15 strain strain NN cord-004073-k6ad4qgu 89 16 decide decide VBP cord-004073-k6ad4qgu 89 17 their -PRON- PRP$ cord-004073-k6ad4qgu 89 18 treatment treatment NN cord-004073-k6ad4qgu 89 19 provision provision NN cord-004073-k6ad4qgu 89 20 ( ( -LRB- cord-004073-k6ad4qgu 89 21 treated treat VBN cord-004073-k6ad4qgu 89 22 or or CC cord-004073-k6ad4qgu 89 23 untreated untreated JJ cord-004073-k6ad4qgu 89 24 ) ) -RRB- cord-004073-k6ad4qgu 89 25 on on IN cord-004073-k6ad4qgu 89 26 the the DT cord-004073-k6ad4qgu 89 27 local local JJ cord-004073-k6ad4qgu 89 28 time time NN cord-004073-k6ad4qgu 89 29 scale scale NN cord-004073-k6ad4qgu 89 30 . . . cord-004073-k6ad4qgu 90 1 The the DT cord-004073-k6ad4qgu 90 2 antiviral antiviral JJ cord-004073-k6ad4qgu 90 3 ( ( -LRB- cord-004073-k6ad4qgu 90 4 antibiotic antibiotic JJ cord-004073-k6ad4qgu 90 5 ) ) -RRB- cord-004073-k6ad4qgu 90 6 treatment treatment NN cord-004073-k6ad4qgu 90 7 case case NN cord-004073-k6ad4qgu 90 8 incorporates incorporate VBZ cord-004073-k6ad4qgu 90 9 a a DT cord-004073-k6ad4qgu 90 10 feedback feedback NN cord-004073-k6ad4qgu 90 11 loop loop NN cord-004073-k6ad4qgu 90 12 between between IN cord-004073-k6ad4qgu 90 13 the the DT cord-004073-k6ad4qgu 90 14 prescription prescription NN cord-004073-k6ad4qgu 90 15 behaviour behaviour NN cord-004073-k6ad4qgu 90 16 and and CC cord-004073-k6ad4qgu 90 17 resistance resistance NN cord-004073-k6ad4qgu 90 18 evolution evolution NN cord-004073-k6ad4qgu 90 19 . . . cord-004073-k6ad4qgu 91 1 To to TO cord-004073-k6ad4qgu 91 2 model model VB cord-004073-k6ad4qgu 91 3 the the DT cord-004073-k6ad4qgu 91 4 disease disease NN cord-004073-k6ad4qgu 91 5 diffusion diffusion NN cord-004073-k6ad4qgu 91 6 in in IN cord-004073-k6ad4qgu 91 7 a a DT cord-004073-k6ad4qgu 91 8 single single JJ cord-004073-k6ad4qgu 91 9 season season NN cord-004073-k6ad4qgu 91 10 , , , cord-004073-k6ad4qgu 91 11 the the DT cord-004073-k6ad4qgu 91 12 initially initially RB cord-004073-k6ad4qgu 91 13 susceptible susceptible JJ cord-004073-k6ad4qgu 91 14 people people NNS cord-004073-k6ad4qgu 91 15 are be VBP cord-004073-k6ad4qgu 91 16 compartmentalized compartmentalize VBN cord-004073-k6ad4qgu 91 17 into into IN cord-004073-k6ad4qgu 91 18 vaccinated vaccinated JJ cord-004073-k6ad4qgu 91 19 and and CC cord-004073-k6ad4qgu 91 20 nonvaccinated nonvaccinated JJ cord-004073-k6ad4qgu 91 21 groups group NNS cord-004073-k6ad4qgu 91 22 . . . cord-004073-k6ad4qgu 92 1 The the DT cord-004073-k6ad4qgu 92 2 individuals individual NNS cord-004073-k6ad4qgu 92 3 in in IN cord-004073-k6ad4qgu 92 4 the the DT cord-004073-k6ad4qgu 92 5 susceptible susceptible JJ cord-004073-k6ad4qgu 92 6 state state NN cord-004073-k6ad4qgu 92 7 can can MD cord-004073-k6ad4qgu 92 8 be be VB cord-004073-k6ad4qgu 92 9 infected infect VBN cord-004073-k6ad4qgu 92 10 with with IN cord-004073-k6ad4qgu 92 11 either either CC cord-004073-k6ad4qgu 92 12 sensitive sensitive JJ cord-004073-k6ad4qgu 92 13 or or CC cord-004073-k6ad4qgu 92 14 resistant resistant JJ cord-004073-k6ad4qgu 92 15 strains strain NNS cord-004073-k6ad4qgu 92 16 , , , cord-004073-k6ad4qgu 92 17 then then RB cord-004073-k6ad4qgu 92 18 seek seek VB cord-004073-k6ad4qgu 92 19 treatment treatment NN cord-004073-k6ad4qgu 92 20 at at IN cord-004073-k6ad4qgu 92 21 an an DT cord-004073-k6ad4qgu 92 22 overall overall JJ cord-004073-k6ad4qgu 92 23 treatment treatment NN cord-004073-k6ad4qgu 92 24 rate rate NN cord-004073-k6ad4qgu 92 25 ( ( -LRB- cord-004073-k6ad4qgu 92 26 treatment treatment NN cord-004073-k6ad4qgu 92 27 probability probability NN cord-004073-k6ad4qgu 92 28 ) ) -RRB- cord-004073-k6ad4qgu 92 29 denoted denote VBN cord-004073-k6ad4qgu 92 30 as as IN cord-004073-k6ad4qgu 92 31 ωP ωP NNP cord-004073-k6ad4qgu 92 32 , , , cord-004073-k6ad4qgu 92 33 where where WRB cord-004073-k6ad4qgu 92 34 P p NN cord-004073-k6ad4qgu 92 35 is be VBZ cord-004073-k6ad4qgu 92 36 the the DT cord-004073-k6ad4qgu 92 37 prescribing prescribing NN cord-004073-k6ad4qgu 92 38 rate rate NN cord-004073-k6ad4qgu 92 39 and and CC cord-004073-k6ad4qgu 92 40 ω ω NN cord-004073-k6ad4qgu 92 41 determines determine VBZ cord-004073-k6ad4qgu 92 42 the the DT cord-004073-k6ad4qgu 92 43 probability probability NN cord-004073-k6ad4qgu 92 44 at at IN cord-004073-k6ad4qgu 92 45 which which WDT cord-004073-k6ad4qgu 92 46 infected infect VBD cord-004073-k6ad4qgu 92 47 people people NNS cord-004073-k6ad4qgu 92 48 accept accept VBP cord-004073-k6ad4qgu 92 49 treatment treatment NN cord-004073-k6ad4qgu 92 50 from from IN cord-004073-k6ad4qgu 92 51 the the DT cord-004073-k6ad4qgu 92 52 prescribing prescribe VBG cord-004073-k6ad4qgu 92 53 individuals individual NNS cord-004073-k6ad4qgu 92 54 . . . cord-004073-k6ad4qgu 93 1 Consequently consequently RB cord-004073-k6ad4qgu 93 2 , , , cord-004073-k6ad4qgu 93 3 the the DT cord-004073-k6ad4qgu 93 4 individuals individual NNS cord-004073-k6ad4qgu 93 5 can can MD cord-004073-k6ad4qgu 93 6 recover recover VB cord-004073-k6ad4qgu 93 7 in in IN cord-004073-k6ad4qgu 93 8 two two CD cord-004073-k6ad4qgu 93 9 ways way NNS cord-004073-k6ad4qgu 93 10 : : : cord-004073-k6ad4qgu 93 11 natural natural JJ cord-004073-k6ad4qgu 93 12 recovery recovery NN cord-004073-k6ad4qgu 93 13 with with IN cord-004073-k6ad4qgu 93 14 no no DT cord-004073-k6ad4qgu 93 15 antibiotic antibiotic JJ cord-004073-k6ad4qgu 93 16 / / SYM cord-004073-k6ad4qgu 93 17 antiviral antiviral JJ cord-004073-k6ad4qgu 93 18 treatment treatment NN cord-004073-k6ad4qgu 93 19 or or CC cord-004073-k6ad4qgu 93 20 recovery recovery NN cord-004073-k6ad4qgu 93 21 after after IN cord-004073-k6ad4qgu 93 22 treatment treatment NN cord-004073-k6ad4qgu 93 23 . . . cord-004073-k6ad4qgu 94 1 The the DT cord-004073-k6ad4qgu 94 2 epidemiological epidemiological JJ cord-004073-k6ad4qgu 94 3 dynamics dynamic NNS cord-004073-k6ad4qgu 94 4 are be VBP cord-004073-k6ad4qgu 94 5 described describe VBN cord-004073-k6ad4qgu 94 6 by by IN cord-004073-k6ad4qgu 94 7 the the DT cord-004073-k6ad4qgu 94 8 following follow VBG cord-004073-k6ad4qgu 94 9 system system NN cord-004073-k6ad4qgu 94 10 of of IN cord-004073-k6ad4qgu 94 11 ordinary ordinary JJ cord-004073-k6ad4qgu 94 12 differential differential JJ cord-004073-k6ad4qgu 94 13 equationsṠ equationsṡ NN cord-004073-k6ad4qgu 95 1 Here here RB cord-004073-k6ad4qgu 95 2 , , , cord-004073-k6ad4qgu 95 3 the the DT cord-004073-k6ad4qgu 95 4 fractions fraction NNS cord-004073-k6ad4qgu 95 5 of of IN cord-004073-k6ad4qgu 95 6 vaccinated vaccinate VBN cord-004073-k6ad4qgu 95 7 plus plus CC cord-004073-k6ad4qgu 95 8 non non JJ cord-004073-k6ad4qgu 95 9 - - JJ cord-004073-k6ad4qgu 95 10 vaccinated vaccinated JJ cord-004073-k6ad4qgu 95 11 individuals individual NNS cord-004073-k6ad4qgu 95 12 infected infect VBN cord-004073-k6ad4qgu 95 13 with with IN cord-004073-k6ad4qgu 95 14 the the DT cord-004073-k6ad4qgu 95 15 sensitive sensitive JJ cord-004073-k6ad4qgu 95 16 and and CC cord-004073-k6ad4qgu 95 17 resistant resistant JJ cord-004073-k6ad4qgu 95 18 strains strain NNS cord-004073-k6ad4qgu 95 19 are be VBP cord-004073-k6ad4qgu 95 20 denoted denote VBN cord-004073-k6ad4qgu 95 21 by by IN cord-004073-k6ad4qgu 95 22 I -PRON- PRP cord-004073-k6ad4qgu 95 23 u u NNP cord-004073-k6ad4qgu 95 24 sen sen NNP cord-004073-k6ad4qgu 96 1 and and CC cord-004073-k6ad4qgu 96 2 I -PRON- PRP cord-004073-k6ad4qgu 96 3 u u NN cord-004073-k6ad4qgu 96 4 res re NNS cord-004073-k6ad4qgu 96 5 , , , cord-004073-k6ad4qgu 96 6 respectively respectively RB cord-004073-k6ad4qgu 96 7 . . . cord-004073-k6ad4qgu 97 1 T T NNP cord-004073-k6ad4qgu 97 2 denotes denote VBZ cord-004073-k6ad4qgu 97 3 the the DT cord-004073-k6ad4qgu 97 4 fraction fraction NN cord-004073-k6ad4qgu 97 5 of of IN cord-004073-k6ad4qgu 97 6 infected infected JJ cord-004073-k6ad4qgu 97 7 individuals individual NNS cord-004073-k6ad4qgu 97 8 receiving receive VBG cord-004073-k6ad4qgu 97 9 treatment treatment NN cord-004073-k6ad4qgu 97 10 and and CC cord-004073-k6ad4qgu 97 11 R r NN cord-004073-k6ad4qgu 97 12 represents represent VBZ cord-004073-k6ad4qgu 97 13 the the DT cord-004073-k6ad4qgu 97 14 fraction fraction NN cord-004073-k6ad4qgu 97 15 of of IN cord-004073-k6ad4qgu 97 16 individuals individual NNS cord-004073-k6ad4qgu 97 17 who who WP cord-004073-k6ad4qgu 97 18 have have VBP cord-004073-k6ad4qgu 97 19 recovered recover VBN cord-004073-k6ad4qgu 97 20 from from IN cord-004073-k6ad4qgu 97 21 infection infection NN cord-004073-k6ad4qgu 97 22 by by IN cord-004073-k6ad4qgu 97 23 a a DT cord-004073-k6ad4qgu 97 24 sensitive sensitive JJ cord-004073-k6ad4qgu 97 25 or or CC cord-004073-k6ad4qgu 97 26 resistant resistant JJ cord-004073-k6ad4qgu 97 27 strain strain NN cord-004073-k6ad4qgu 97 28 . . . cord-004073-k6ad4qgu 98 1 In in IN cord-004073-k6ad4qgu 98 2 addition addition NN cord-004073-k6ad4qgu 98 3 , , , cord-004073-k6ad4qgu 98 4 β β NNP cord-004073-k6ad4qgu 98 5 s s NNP cord-004073-k6ad4qgu 98 6 and and CC cord-004073-k6ad4qgu 98 7 β β NNP cord-004073-k6ad4qgu 98 8 r r NN cord-004073-k6ad4qgu 98 9 ( ( -LRB- cord-004073-k6ad4qgu 98 10 γ γ NNP cord-004073-k6ad4qgu 98 11 s s NNP cord-004073-k6ad4qgu 98 12 and and CC cord-004073-k6ad4qgu 98 13 γ γ NNP cord-004073-k6ad4qgu 98 14 r r NN cord-004073-k6ad4qgu 98 15 ) ) -RRB- cord-004073-k6ad4qgu 98 16 are be VBP cord-004073-k6ad4qgu 98 17 the the DT cord-004073-k6ad4qgu 98 18 disease disease NN cord-004073-k6ad4qgu 98 19 transmission transmission NN cord-004073-k6ad4qgu 98 20 rates rate NNS cord-004073-k6ad4qgu 98 21 ( ( -LRB- cord-004073-k6ad4qgu 98 22 infection infection NN cord-004073-k6ad4qgu 98 23 recovery recovery NN cord-004073-k6ad4qgu 98 24 rates rate NNS cord-004073-k6ad4qgu 98 25 ) ) -RRB- cord-004073-k6ad4qgu 98 26 for for IN cord-004073-k6ad4qgu 98 27 the the DT cord-004073-k6ad4qgu 98 28 sensitive sensitive JJ cord-004073-k6ad4qgu 98 29 and and CC cord-004073-k6ad4qgu 98 30 resistant resistant JJ cord-004073-k6ad4qgu 98 31 strains strain NNS cord-004073-k6ad4qgu 98 32 , , , cord-004073-k6ad4qgu 98 33 respectively respectively RB cord-004073-k6ad4qgu 98 34 and and CC cord-004073-k6ad4qgu 98 35 γ γ NNP cord-004073-k6ad4qgu 98 36 T T NNP cord-004073-k6ad4qgu 98 37 is be VBZ cord-004073-k6ad4qgu 98 38 the the DT cord-004073-k6ad4qgu 98 39 recovery recovery NN cord-004073-k6ad4qgu 98 40 rate rate NN cord-004073-k6ad4qgu 98 41 of of IN cord-004073-k6ad4qgu 98 42 infected infected JJ cord-004073-k6ad4qgu 98 43 individuals individual NNS cord-004073-k6ad4qgu 98 44 receiving receive VBG cord-004073-k6ad4qgu 98 45 treatment treatment NN cord-004073-k6ad4qgu 98 46 . . . cord-004073-k6ad4qgu 99 1 Finally finally RB cord-004073-k6ad4qgu 99 2 , , , cord-004073-k6ad4qgu 99 3 μ μ NNP cord-004073-k6ad4qgu 99 4 s s NNP cord-004073-k6ad4qgu 99 5 and and CC cord-004073-k6ad4qgu 99 6 μ μ NNP cord-004073-k6ad4qgu 99 7 r r NNP cord-004073-k6ad4qgu 99 8 are be VBP cord-004073-k6ad4qgu 99 9 the the DT cord-004073-k6ad4qgu 99 10 mutation mutation NN cord-004073-k6ad4qgu 99 11 rates rate NNS cord-004073-k6ad4qgu 99 12 of of IN cord-004073-k6ad4qgu 99 13 the the DT cord-004073-k6ad4qgu 99 14 sensitive sensitive JJ cord-004073-k6ad4qgu 99 15 and and CC cord-004073-k6ad4qgu 99 16 resistant resistant JJ cord-004073-k6ad4qgu 99 17 strains strain NNS cord-004073-k6ad4qgu 99 18 , , , cord-004073-k6ad4qgu 99 19 respectively respectively RB cord-004073-k6ad4qgu 99 20 . . . cord-004073-k6ad4qgu 100 1 Without without IN cord-004073-k6ad4qgu 100 2 mutation mutation NN cord-004073-k6ad4qgu 100 3 , , , cord-004073-k6ad4qgu 100 4 the the DT cord-004073-k6ad4qgu 100 5 coexistence coexistence NN cord-004073-k6ad4qgu 100 6 of of IN cord-004073-k6ad4qgu 100 7 sensitive sensitive JJ cord-004073-k6ad4qgu 100 8 and and CC cord-004073-k6ad4qgu 100 9 resistant resistant JJ cord-004073-k6ad4qgu 100 10 strains strain NNS cord-004073-k6ad4qgu 100 11 is be VBZ cord-004073-k6ad4qgu 100 12 forbidden forbid VBN cord-004073-k6ad4qgu 100 13 by by IN cord-004073-k6ad4qgu 100 14 the the DT cord-004073-k6ad4qgu 100 15 competitive competitive JJ cord-004073-k6ad4qgu 100 16 exclusion exclusion NN cord-004073-k6ad4qgu 100 17 principle principle NN cord-004073-k6ad4qgu 100 18 . . . cord-004073-k6ad4qgu 101 1 The the DT cord-004073-k6ad4qgu 101 2 portion portion NN cord-004073-k6ad4qgu 101 3 of of IN cord-004073-k6ad4qgu 101 4 vaccinated vaccinate VBN cord-004073-k6ad4qgu 101 5 individuals individual NNS cord-004073-k6ad4qgu 101 6 is be VBZ cord-004073-k6ad4qgu 101 7 separated separate VBN cord-004073-k6ad4qgu 101 8 into into IN cord-004073-k6ad4qgu 101 9 perfectly perfectly RB cord-004073-k6ad4qgu 101 10 immune immune JJ cord-004073-k6ad4qgu 101 11 and and CC cord-004073-k6ad4qgu 101 12 nonimmune nonimmune JJ cord-004073-k6ad4qgu 101 13 individuals individual NNS cord-004073-k6ad4qgu 101 14 , , , cord-004073-k6ad4qgu 101 15 distinguished distinguish VBN cord-004073-k6ad4qgu 101 16 by by IN cord-004073-k6ad4qgu 101 17 the the DT cord-004073-k6ad4qgu 101 18 vaccine vaccine NN cord-004073-k6ad4qgu 101 19 's 's POS cord-004073-k6ad4qgu 101 20 effectiveness effectiveness NN cord-004073-k6ad4qgu 101 21 e(0 e(0 NNP cord-004073-k6ad4qgu 101 22 ≤ ≤ NN cord-004073-k6ad4qgu 101 23 e e NN cord-004073-k6ad4qgu 101 24 ≤ ≤ NN cord-004073-k6ad4qgu 101 25 1 1 CD cord-004073-k6ad4qgu 101 26 ) ) -RRB- cord-004073-k6ad4qgu 101 27 . . . cord-004073-k6ad4qgu 102 1 The the DT cord-004073-k6ad4qgu 102 2 treatment treatment NN cord-004073-k6ad4qgu 102 3 efficacy efficacy NN cord-004073-k6ad4qgu 102 4 ε ε NNP cord-004073-k6ad4qgu 102 5 controls control VBZ cord-004073-k6ad4qgu 102 6 the the DT cord-004073-k6ad4qgu 102 7 treatment treatment NN cord-004073-k6ad4qgu 102 8 efficiency efficiency NN cord-004073-k6ad4qgu 102 9 of of IN cord-004073-k6ad4qgu 102 10 the the DT cord-004073-k6ad4qgu 102 11 sensitive sensitive JJ cord-004073-k6ad4qgu 102 12 and and CC cord-004073-k6ad4qgu 102 13 resistant resistant JJ cord-004073-k6ad4qgu 102 14 strains strain NNS cord-004073-k6ad4qgu 102 15 . . . cord-004073-k6ad4qgu 103 1 When when WRB cord-004073-k6ad4qgu 103 2 ε ε NN cord-004073-k6ad4qgu 103 3 = = SYM cord-004073-k6ad4qgu 103 4 0 0 NFP cord-004073-k6ad4qgu 103 5 , , , cord-004073-k6ad4qgu 103 6 the the DT cord-004073-k6ad4qgu 103 7 treatment treatment NN cord-004073-k6ad4qgu 103 8 is be VBZ cord-004073-k6ad4qgu 103 9 far far RB cord-004073-k6ad4qgu 103 10 less less RBR cord-004073-k6ad4qgu 103 11 beneficial beneficial JJ cord-004073-k6ad4qgu 103 12 against against IN cord-004073-k6ad4qgu 103 13 the the DT cord-004073-k6ad4qgu 103 14 resistant resistant JJ cord-004073-k6ad4qgu 103 15 strain strain NN cord-004073-k6ad4qgu 103 16 than than IN cord-004073-k6ad4qgu 103 17 against against IN cord-004073-k6ad4qgu 103 18 the the DT cord-004073-k6ad4qgu 103 19 sensitive sensitive JJ cord-004073-k6ad4qgu 103 20 strain strain NN cord-004073-k6ad4qgu 103 21 . . . cord-004073-k6ad4qgu 104 1 On on IN cord-004073-k6ad4qgu 104 2 the the DT cord-004073-k6ad4qgu 104 3 other other JJ cord-004073-k6ad4qgu 104 4 hand hand NN cord-004073-k6ad4qgu 104 5 , , , cord-004073-k6ad4qgu 104 6 when when WRB cord-004073-k6ad4qgu 104 7 ε ε NNP cord-004073-k6ad4qgu 104 8 = = SYM cord-004073-k6ad4qgu 104 9 1 1 CD cord-004073-k6ad4qgu 104 10 , , , cord-004073-k6ad4qgu 104 11 the the DT cord-004073-k6ad4qgu 104 12 higher high JJR cord-004073-k6ad4qgu 104 13 number number NN cord-004073-k6ad4qgu 104 14 of of IN cord-004073-k6ad4qgu 104 15 people people NNS cord-004073-k6ad4qgu 104 16 in in IN cord-004073-k6ad4qgu 104 17 the the DT cord-004073-k6ad4qgu 104 18 resistant resistant JJ cord-004073-k6ad4qgu 104 19 state state NN cord-004073-k6ad4qgu 104 20 is be VBZ cord-004073-k6ad4qgu 104 21 now now RB cord-004073-k6ad4qgu 104 22 taking take VBG cord-004073-k6ad4qgu 104 23 the the DT cord-004073-k6ad4qgu 104 24 highest high JJS cord-004073-k6ad4qgu 104 25 benefit benefit NN cord-004073-k6ad4qgu 104 26 of of IN cord-004073-k6ad4qgu 104 27 treatment treatment NN cord-004073-k6ad4qgu 104 28 and and CC cord-004073-k6ad4qgu 104 29 is be VBZ cord-004073-k6ad4qgu 104 30 ineffective ineffective JJ cord-004073-k6ad4qgu 104 31 against against IN cord-004073-k6ad4qgu 104 32 the the DT cord-004073-k6ad4qgu 104 33 sensitive sensitive JJ cord-004073-k6ad4qgu 104 34 strain strain NN cord-004073-k6ad4qgu 104 35 . . . cord-004073-k6ad4qgu 105 1 The the DT cord-004073-k6ad4qgu 105 2 basic basic JJ cord-004073-k6ad4qgu 105 3 reproduction reproduction NN cord-004073-k6ad4qgu 105 4 number number NN cord-004073-k6ad4qgu 105 5 ( ( -LRB- cord-004073-k6ad4qgu 105 6 ratio ratio NN cord-004073-k6ad4qgu 105 7 ) ) -RRB- cord-004073-k6ad4qgu 105 8 R r NN cord-004073-k6ad4qgu 105 9 0 0 CD cord-004073-k6ad4qgu 105 10 is be VBZ cord-004073-k6ad4qgu 105 11 the the DT cord-004073-k6ad4qgu 105 12 estimated estimate VBN cord-004073-k6ad4qgu 105 13 number number NN cord-004073-k6ad4qgu 105 14 of of IN cord-004073-k6ad4qgu 105 15 infected infected JJ cord-004073-k6ad4qgu 105 16 individuals individual NNS cord-004073-k6ad4qgu 105 17 instigated instigate VBN cord-004073-k6ad4qgu 105 18 by by IN cord-004073-k6ad4qgu 105 19 a a DT cord-004073-k6ad4qgu 105 20 susceptible susceptible JJ cord-004073-k6ad4qgu 105 21 individual individual NN cord-004073-k6ad4qgu 105 22 ( ( -LRB- cord-004073-k6ad4qgu 105 23 R r NN cord-004073-k6ad4qgu 105 24 0 0 CD cord-004073-k6ad4qgu 105 25 = = NFP cord-004073-k6ad4qgu 106 1 β β NNP cord-004073-k6ad4qgu 106 2 / / SYM cord-004073-k6ad4qgu 106 3 γ γ NNP cord-004073-k6ad4qgu 106 4 ) ) -RRB- cord-004073-k6ad4qgu 106 5 . . . cord-004073-k6ad4qgu 107 1 In in IN cord-004073-k6ad4qgu 107 2 particular particular JJ cord-004073-k6ad4qgu 107 3 , , , cord-004073-k6ad4qgu 107 4 if if IN cord-004073-k6ad4qgu 107 5 R r NN cord-004073-k6ad4qgu 107 6 0 0 CD cord-004073-k6ad4qgu 107 7 < < XX cord-004073-k6ad4qgu 107 8 1 1 CD cord-004073-k6ad4qgu 107 9 , , , cord-004073-k6ad4qgu 107 10 the the DT cord-004073-k6ad4qgu 107 11 disease disease NN cord-004073-k6ad4qgu 107 12 will will MD cord-004073-k6ad4qgu 107 13 eventually eventually RB cord-004073-k6ad4qgu 107 14 die die VB cord-004073-k6ad4qgu 107 15 out out RP cord-004073-k6ad4qgu 107 16 , , , cord-004073-k6ad4qgu 107 17 whereas whereas IN cord-004073-k6ad4qgu 107 18 if if IN cord-004073-k6ad4qgu 107 19 R r NN cord-004073-k6ad4qgu 107 20 0 0 CD cord-004073-k6ad4qgu 107 21 > > SYM cord-004073-k6ad4qgu 107 22 1 1 CD cord-004073-k6ad4qgu 107 23 , , , cord-004073-k6ad4qgu 107 24 the the DT cord-004073-k6ad4qgu 107 25 disease disease NN cord-004073-k6ad4qgu 107 26 will will MD cord-004073-k6ad4qgu 107 27 spread spread VB cord-004073-k6ad4qgu 107 28 through through IN cord-004073-k6ad4qgu 107 29 the the DT cord-004073-k6ad4qgu 107 30 population population NN cord-004073-k6ad4qgu 107 31 . . . cord-004073-k6ad4qgu 108 1 In in IN cord-004073-k6ad4qgu 108 2 this this DT cord-004073-k6ad4qgu 108 3 case case NN cord-004073-k6ad4qgu 108 4 , , , cord-004073-k6ad4qgu 108 5 we -PRON- PRP cord-004073-k6ad4qgu 108 6 presume presume VBP cord-004073-k6ad4qgu 108 7 separate separate JJ cord-004073-k6ad4qgu 108 8 control control NN cord-004073-k6ad4qgu 108 9 reproduction reproduction NN cord-004073-k6ad4qgu 108 10 numbers number NNS cord-004073-k6ad4qgu 108 11 R R NNP cord-004073-k6ad4qgu 108 12 s s NN cord-004073-k6ad4qgu 108 13 and and CC cord-004073-k6ad4qgu 108 14 R R NNP cord-004073-k6ad4qgu 108 15 r r NN cord-004073-k6ad4qgu 108 16 for for IN cord-004073-k6ad4qgu 108 17 the the DT cord-004073-k6ad4qgu 108 18 sensitive sensitive JJ cord-004073-k6ad4qgu 108 19 and and CC cord-004073-k6ad4qgu 108 20 resistant resistant JJ cord-004073-k6ad4qgu 108 21 strains strain NNS cord-004073-k6ad4qgu 108 22 , , , cord-004073-k6ad4qgu 108 23 respectively respectively RB cord-004073-k6ad4qgu 108 24 . . . cord-004073-k6ad4qgu 109 1 To to TO cord-004073-k6ad4qgu 109 2 evaluate evaluate VB cord-004073-k6ad4qgu 109 3 the the DT cord-004073-k6ad4qgu 109 4 control control NN cord-004073-k6ad4qgu 109 5 reproduction reproduction NN cord-004073-k6ad4qgu 109 6 numbers number NNS cord-004073-k6ad4qgu 109 7 , , , cord-004073-k6ad4qgu 109 8 we -PRON- PRP cord-004073-k6ad4qgu 109 9 initially initially RB cord-004073-k6ad4qgu 109 10 set set VBD cord-004073-k6ad4qgu 109 11 Let Let VBD cord-004073-k6ad4qgu 109 12 us -PRON- PRP cord-004073-k6ad4qgu 109 13 express express VB cord-004073-k6ad4qgu 109 14 the the DT cord-004073-k6ad4qgu 109 15 model model NN cord-004073-k6ad4qgu 109 16 dynamics dynamic NNS cord-004073-k6ad4qgu 109 17 as as IN cord-004073-k6ad4qgu 109 18 we -PRON- PRP cord-004073-k6ad4qgu 109 19 can can MD cord-004073-k6ad4qgu 109 20 write write VB cord-004073-k6ad4qgu 109 21 Similarly similarly RB cord-004073-k6ad4qgu 109 22 , , , cord-004073-k6ad4qgu 109 23 we -PRON- PRP cord-004073-k6ad4qgu 109 24 have have VBP cord-004073-k6ad4qgu 109 25 As as RB cord-004073-k6ad4qgu 109 26 mentioned mention VBN cord-004073-k6ad4qgu 109 27 above above RB cord-004073-k6ad4qgu 109 28 , , , cord-004073-k6ad4qgu 109 29 the the DT cord-004073-k6ad4qgu 109 30 control control NN cord-004073-k6ad4qgu 109 31 reproduction reproduction NN cord-004073-k6ad4qgu 109 32 number number NN cord-004073-k6ad4qgu 109 33 must must MD cord-004073-k6ad4qgu 109 34 reflect reflect VB cord-004073-k6ad4qgu 109 35 the the DT cord-004073-k6ad4qgu 109 36 stability stability NN cord-004073-k6ad4qgu 109 37 of of IN cord-004073-k6ad4qgu 109 38 the the DT cord-004073-k6ad4qgu 109 39 diseasefree diseasefree NNP cord-004073-k6ad4qgu 109 40 equilibrium equilibrium NNP cord-004073-k6ad4qgu 109 41 state state NNP cord-004073-k6ad4qgu 109 42 . . . cord-004073-k6ad4qgu 110 1 According accord VBG cord-004073-k6ad4qgu 110 2 to to IN cord-004073-k6ad4qgu 110 3 equations equation NNS cord-004073-k6ad4qgu 110 4 ( ( -LRB- cord-004073-k6ad4qgu 110 5 2.7 2.7 CD cord-004073-k6ad4qgu 110 6 ) ) -RRB- cord-004073-k6ad4qgu 110 7 and and CC cord-004073-k6ad4qgu 110 8 ( ( -LRB- cord-004073-k6ad4qgu 110 9 2.8 2.8 CD cord-004073-k6ad4qgu 110 10 ) ) -RRB- cord-004073-k6ad4qgu 110 11 , , , cord-004073-k6ad4qgu 110 12 the the DT cord-004073-k6ad4qgu 110 13 control control NN cord-004073-k6ad4qgu 110 14 reproduction reproduction NN cord-004073-k6ad4qgu 110 15 numbers number NNS cord-004073-k6ad4qgu 110 16 of of IN cord-004073-k6ad4qgu 110 17 both both CC cord-004073-k6ad4qgu 110 18 sensitive sensitive JJ cord-004073-k6ad4qgu 110 19 ( ( -LRB- cord-004073-k6ad4qgu 110 20 R R NNP cord-004073-k6ad4qgu 110 21 s s NN cord-004073-k6ad4qgu 110 22 ) ) -RRB- cord-004073-k6ad4qgu 110 23 and and CC cord-004073-k6ad4qgu 110 24 resistant resistant JJ cord-004073-k6ad4qgu 110 25 ( ( -LRB- cord-004073-k6ad4qgu 110 26 R r NN cord-004073-k6ad4qgu 110 27 r r NN cord-004073-k6ad4qgu 110 28 ) ) -RRB- cord-004073-k6ad4qgu 110 29 strains strain NNS cord-004073-k6ad4qgu 110 30 act act VBP cord-004073-k6ad4qgu 110 31 like like IN cord-004073-k6ad4qgu 110 32 a a DT cord-004073-k6ad4qgu 110 33 decreasing decrease VBG cord-004073-k6ad4qgu 110 34 function function NN cord-004073-k6ad4qgu 110 35 of of IN cord-004073-k6ad4qgu 110 36 P p NN cord-004073-k6ad4qgu 110 37 and and CC cord-004073-k6ad4qgu 110 38 x x SYM cord-004073-k6ad4qgu 110 39 ; ; : cord-004073-k6ad4qgu 110 40 both both DT cord-004073-k6ad4qgu 110 41 ranging range VBG cord-004073-k6ad4qgu 110 42 from from IN cord-004073-k6ad4qgu 110 43 0 0 CD cord-004073-k6ad4qgu 110 44 to to IN cord-004073-k6ad4qgu 110 45 1 1 CD cord-004073-k6ad4qgu 110 46 displayed display VBN cord-004073-k6ad4qgu 110 47 in in IN cord-004073-k6ad4qgu 110 48 figure figure NN cord-004073-k6ad4qgu 111 1 In in IN cord-004073-k6ad4qgu 111 2 panels panel NNS cord-004073-k6ad4qgu 111 3 ( ( -LRB- cord-004073-k6ad4qgu 111 4 a a NNP cord-004073-k6ad4qgu 111 5 - - HYPH cord-004073-k6ad4qgu 111 6 ii ii NN cord-004073-k6ad4qgu 111 7 ) ) -RRB- cord-004073-k6ad4qgu 111 8 and and CC cord-004073-k6ad4qgu 111 9 ( ( -LRB- cord-004073-k6ad4qgu 111 10 a a DT cord-004073-k6ad4qgu 111 11 - - HYPH cord-004073-k6ad4qgu 111 12 iii iii NN cord-004073-k6ad4qgu 111 13 ) ) -RRB- cord-004073-k6ad4qgu 111 14 , , , cord-004073-k6ad4qgu 111 15 we -PRON- PRP cord-004073-k6ad4qgu 111 16 can can MD cord-004073-k6ad4qgu 111 17 find find VB cord-004073-k6ad4qgu 111 18 the the DT cord-004073-k6ad4qgu 111 19 critical critical JJ cord-004073-k6ad4qgu 111 20 treatment treatment NN cord-004073-k6ad4qgu 111 21 probability probability NN cord-004073-k6ad4qgu 111 22 P p NN cord-004073-k6ad4qgu 111 23 c c NN cord-004073-k6ad4qgu 111 24 at at IN cord-004073-k6ad4qgu 111 25 which which WDT cord-004073-k6ad4qgu 111 26 the the DT cord-004073-k6ad4qgu 111 27 treatment treatment NN cord-004073-k6ad4qgu 111 28 probabilities probability NNS cord-004073-k6ad4qgu 111 29 of of IN cord-004073-k6ad4qgu 111 30 the the DT cord-004073-k6ad4qgu 111 31 sensitive sensitive JJ cord-004073-k6ad4qgu 111 32 and and CC cord-004073-k6ad4qgu 111 33 resistant resistant JJ cord-004073-k6ad4qgu 111 34 strains strain NNS cord-004073-k6ad4qgu 111 35 are be VBP cord-004073-k6ad4qgu 111 36 equal equal JJ cord-004073-k6ad4qgu 111 37 . . . cord-004073-k6ad4qgu 112 1 When when WRB cord-004073-k6ad4qgu 112 2 0 0 NFP cord-004073-k6ad4qgu 112 3 < < XX cord-004073-k6ad4qgu 112 4 P p NN cord-004073-k6ad4qgu 112 5 < < NN cord-004073-k6ad4qgu 112 6 P p NN cord-004073-k6ad4qgu 112 7 c c NN cord-004073-k6ad4qgu 112 8 , , , cord-004073-k6ad4qgu 112 9 the the DT cord-004073-k6ad4qgu 112 10 sensitive sensitive JJ cord-004073-k6ad4qgu 112 11 strain strain NN cord-004073-k6ad4qgu 112 12 is be VBZ cord-004073-k6ad4qgu 112 13 more more RBR cord-004073-k6ad4qgu 112 14 prevalent prevalent JJ cord-004073-k6ad4qgu 112 15 than than IN cord-004073-k6ad4qgu 112 16 the the DT cord-004073-k6ad4qgu 112 17 resistant resistant JJ cord-004073-k6ad4qgu 112 18 strain strain NN cord-004073-k6ad4qgu 112 19 ( ( -LRB- cord-004073-k6ad4qgu 113 1 i.e. i.e. FW cord-004073-k6ad4qgu 113 2 R r NN cord-004073-k6ad4qgu 113 3 s s NN cord-004073-k6ad4qgu 114 1 > > XX cord-004073-k6ad4qgu 114 2 R r NN cord-004073-k6ad4qgu 114 3 r r NN cord-004073-k6ad4qgu 114 4 ) ) -RRB- cord-004073-k6ad4qgu 114 5 . . . cord-004073-k6ad4qgu 115 1 However however RB cord-004073-k6ad4qgu 115 2 , , , cord-004073-k6ad4qgu 115 3 when when WRB cord-004073-k6ad4qgu 115 4 P p NN cord-004073-k6ad4qgu 115 5 > > NN cord-004073-k6ad4qgu 115 6 P p NN cord-004073-k6ad4qgu 115 7 c c NN cord-004073-k6ad4qgu 115 8 , , , cord-004073-k6ad4qgu 115 9 the the DT cord-004073-k6ad4qgu 115 10 resistant resistant JJ cord-004073-k6ad4qgu 115 11 strain strain NN cord-004073-k6ad4qgu 115 12 will will MD cord-004073-k6ad4qgu 115 13 outperform outperform VB cord-004073-k6ad4qgu 115 14 against against IN cord-004073-k6ad4qgu 115 15 the the DT cord-004073-k6ad4qgu 115 16 sensitive sensitive JJ cord-004073-k6ad4qgu 115 17 strain strain NN cord-004073-k6ad4qgu 115 18 . . . cord-004073-k6ad4qgu 116 1 At at IN cord-004073-k6ad4qgu 116 2 the the DT cord-004073-k6ad4qgu 116 3 social social JJ cord-004073-k6ad4qgu 116 4 optimum optimum NN cord-004073-k6ad4qgu 116 5 , , , cord-004073-k6ad4qgu 116 6 the the DT cord-004073-k6ad4qgu 116 7 critical critical JJ cord-004073-k6ad4qgu 116 8 treatment treatment NN cord-004073-k6ad4qgu 116 9 probability probability NN cord-004073-k6ad4qgu 116 10 P p NN cord-004073-k6ad4qgu 116 11 c c NN cord-004073-k6ad4qgu 116 12 specifies specify VBZ cord-004073-k6ad4qgu 116 13 the the DT cord-004073-k6ad4qgu 116 14 maximum maximum JJ cord-004073-k6ad4qgu 116 15 treatment treatment NN cord-004073-k6ad4qgu 116 16 control control NN cord-004073-k6ad4qgu 116 17 under under IN cord-004073-k6ad4qgu 116 18 which which WDT cord-004073-k6ad4qgu 116 19 resistant resistant JJ cord-004073-k6ad4qgu 116 20 strains strain NNS cord-004073-k6ad4qgu 116 21 will will MD cord-004073-k6ad4qgu 116 22 not not RB cord-004073-k6ad4qgu 116 23 emerge emerge VB cord-004073-k6ad4qgu 116 24 . . . cord-004073-k6ad4qgu 117 1 Assuming assume VBG cord-004073-k6ad4qgu 117 2 R r NN cord-004073-k6ad4qgu 117 3 s s NN cord-004073-k6ad4qgu 117 4 = = SYM cord-004073-k6ad4qgu 117 5 R r NN cord-004073-k6ad4qgu 117 6 r r NN cord-004073-k6ad4qgu 117 7 in in IN cord-004073-k6ad4qgu 117 8 equations equation NNS cord-004073-k6ad4qgu 117 9 ( ( -LRB- cord-004073-k6ad4qgu 117 10 2.7 2.7 CD cord-004073-k6ad4qgu 117 11 ) ) -RRB- cord-004073-k6ad4qgu 117 12 and and CC cord-004073-k6ad4qgu 117 13 ( ( -LRB- cord-004073-k6ad4qgu 117 14 2.8 2.8 CD cord-004073-k6ad4qgu 117 15 ) ) -RRB- cord-004073-k6ad4qgu 117 16 , , , cord-004073-k6ad4qgu 117 17 P p NN cord-004073-k6ad4qgu 117 18 c c NN cord-004073-k6ad4qgu 117 19 is be VBZ cord-004073-k6ad4qgu 117 20 calculated calculate VBN cord-004073-k6ad4qgu 117 21 as as IN cord-004073-k6ad4qgu 117 22 . . . cord-004073-k6ad4qgu 117 23 _SP cord-004073-k6ad4qgu 118 1 We -PRON- PRP cord-004073-k6ad4qgu 118 2 incorporate incorporate VBP cord-004073-k6ad4qgu 118 3 two two CD cord-004073-k6ad4qgu 118 4 - - HYPH cord-004073-k6ad4qgu 118 5 game game NN cord-004073-k6ad4qgu 118 6 aspects aspect NNS cord-004073-k6ad4qgu 118 7 ( ( -LRB- cord-004073-k6ad4qgu 118 8 treatment treatment NN cord-004073-k6ad4qgu 118 9 and and CC cord-004073-k6ad4qgu 118 10 vaccination vaccination NN cord-004073-k6ad4qgu 118 11 ) ) -RRB- cord-004073-k6ad4qgu 118 12 in in IN cord-004073-k6ad4qgu 118 13 a a DT cord-004073-k6ad4qgu 118 14 single single JJ cord-004073-k6ad4qgu 118 15 epidemiological epidemiological JJ cord-004073-k6ad4qgu 118 16 game game NN cord-004073-k6ad4qgu 118 17 model model NN cord-004073-k6ad4qgu 118 18 . . . cord-004073-k6ad4qgu 119 1 This this DT cord-004073-k6ad4qgu 119 2 model model NN cord-004073-k6ad4qgu 119 3 reproduces reproduce VBZ cord-004073-k6ad4qgu 119 4 the the DT cord-004073-k6ad4qgu 119 5 coevolutions coevolution NNS cord-004073-k6ad4qgu 119 6 of of IN cord-004073-k6ad4qgu 119 7 accepting accept VBG cord-004073-k6ad4qgu 119 8 a a DT cord-004073-k6ad4qgu 119 9 vaccination vaccination NN cord-004073-k6ad4qgu 119 10 at at IN cord-004073-k6ad4qgu 119 11 the the DT cord-004073-k6ad4qgu 119 12 beginning beginning NN cord-004073-k6ad4qgu 119 13 of of IN cord-004073-k6ad4qgu 119 14 every every DT cord-004073-k6ad4qgu 119 15 season season NN cord-004073-k6ad4qgu 119 16 and and CC cord-004073-k6ad4qgu 119 17 receiving receive VBG cord-004073-k6ad4qgu 119 18 treatment treatment NN cord-004073-k6ad4qgu 119 19 after after IN cord-004073-k6ad4qgu 119 20 becoming become VBG cord-004073-k6ad4qgu 119 21 infected infect VBN cord-004073-k6ad4qgu 119 22 in in IN cord-004073-k6ad4qgu 119 23 a a DT cord-004073-k6ad4qgu 119 24 season season NN cord-004073-k6ad4qgu 119 25 . . . cord-004073-k6ad4qgu 120 1 In in IN cord-004073-k6ad4qgu 120 2 the the DT cord-004073-k6ad4qgu 120 3 treatment treatment NN cord-004073-k6ad4qgu 120 4 game game NN cord-004073-k6ad4qgu 120 5 , , , cord-004073-k6ad4qgu 120 6 the the DT cord-004073-k6ad4qgu 120 7 individual individual JJ cord-004073-k6ad4qgu 120 8 decision decision NN cord-004073-k6ad4qgu 120 9 to to TO cord-004073-k6ad4qgu 120 10 receive receive VB cord-004073-k6ad4qgu 120 11 or or CC cord-004073-k6ad4qgu 120 12 decline decline VB cord-004073-k6ad4qgu 120 13 treatment treatment NN cord-004073-k6ad4qgu 120 14 against against IN cord-004073-k6ad4qgu 120 15 the the DT cord-004073-k6ad4qgu 120 16 infectious infectious JJ cord-004073-k6ad4qgu 120 17 sensitive sensitive JJ cord-004073-k6ad4qgu 120 18 and and CC cord-004073-k6ad4qgu 120 19 resistant resistant JJ cord-004073-k6ad4qgu 120 20 strains strain NNS cord-004073-k6ad4qgu 120 21 occurs occur VBZ cord-004073-k6ad4qgu 120 22 on on IN cord-004073-k6ad4qgu 120 23 the the DT cord-004073-k6ad4qgu 120 24 local local JJ cord-004073-k6ad4qgu 120 25 time time NN cord-004073-k6ad4qgu 120 26 scale scale NN cord-004073-k6ad4qgu 120 27 . . . cord-004073-k6ad4qgu 121 1 In in IN cord-004073-k6ad4qgu 121 2 the the DT cord-004073-k6ad4qgu 121 3 vaccination vaccination NN cord-004073-k6ad4qgu 121 4 game game NN cord-004073-k6ad4qgu 121 5 , , , cord-004073-k6ad4qgu 121 6 the the DT cord-004073-k6ad4qgu 121 7 individuals individual NNS cord-004073-k6ad4qgu 121 8 can can MD cord-004073-k6ad4qgu 121 9 consent consent VB cord-004073-k6ad4qgu 121 10 to to TO cord-004073-k6ad4qgu 121 11 alter alter VB cord-004073-k6ad4qgu 121 12 their -PRON- PRP$ cord-004073-k6ad4qgu 121 13 strategy strategy NN cord-004073-k6ad4qgu 121 14 ( ( -LRB- cord-004073-k6ad4qgu 121 15 accept accept VB cord-004073-k6ad4qgu 121 16 or or CC cord-004073-k6ad4qgu 121 17 decline decline VB cord-004073-k6ad4qgu 121 18 vaccination vaccination NN cord-004073-k6ad4qgu 121 19 ) ) -RRB- cord-004073-k6ad4qgu 121 20 based base VBN cord-004073-k6ad4qgu 121 21 on on IN cord-004073-k6ad4qgu 121 22 the the DT cord-004073-k6ad4qgu 121 23 progress progress NN cord-004073-k6ad4qgu 121 24 of of IN cord-004073-k6ad4qgu 121 25 the the DT cord-004073-k6ad4qgu 121 26 last last JJ cord-004073-k6ad4qgu 121 27 pandemic pandemic NN cord-004073-k6ad4qgu 121 28 season season NN cord-004073-k6ad4qgu 121 29 , , , cord-004073-k6ad4qgu 121 30 which which WDT cord-004073-k6ad4qgu 121 31 occurs occur VBZ cord-004073-k6ad4qgu 121 32 on on IN cord-004073-k6ad4qgu 121 33 the the DT cord-004073-k6ad4qgu 121 34 global global JJ cord-004073-k6ad4qgu 121 35 time time NN cord-004073-k6ad4qgu 121 36 scale scale NN cord-004073-k6ad4qgu 121 37 . . . cord-004073-k6ad4qgu 122 1 Based base VBN cord-004073-k6ad4qgu 122 2 on on IN cord-004073-k6ad4qgu 122 3 a a DT cord-004073-k6ad4qgu 122 4 feedback feedback NN cord-004073-k6ad4qgu 122 5 loop loop NN cord-004073-k6ad4qgu 122 6 between between IN cord-004073-k6ad4qgu 122 7 the the DT cord-004073-k6ad4qgu 122 8 resistance resistance NN cord-004073-k6ad4qgu 122 9 evolution evolution NN cord-004073-k6ad4qgu 122 10 and and CC cord-004073-k6ad4qgu 122 11 prescription prescription NN cord-004073-k6ad4qgu 122 12 norm norm NN cord-004073-k6ad4qgu 122 13 , , , cord-004073-k6ad4qgu 122 14 the the DT cord-004073-k6ad4qgu 122 15 game game NN cord-004073-k6ad4qgu 122 16 approach approach NN cord-004073-k6ad4qgu 122 17 establishes establish VBZ cord-004073-k6ad4qgu 122 18 a a DT cord-004073-k6ad4qgu 122 19 social social JJ cord-004073-k6ad4qgu 122 20 learning learn VBG cord-004073-k6ad4qgu 122 21 dynamical dynamical JJ cord-004073-k6ad4qgu 122 22 process process NN cord-004073-k6ad4qgu 122 23 that that WDT cord-004073-k6ad4qgu 122 24 somehow somehow RB cord-004073-k6ad4qgu 122 25 controls control VBZ cord-004073-k6ad4qgu 122 26 the the DT cord-004073-k6ad4qgu 122 27 optimum optimum JJ cord-004073-k6ad4qgu 122 28 use use NN cord-004073-k6ad4qgu 122 29 of of IN cord-004073-k6ad4qgu 122 30 the the DT cord-004073-k6ad4qgu 122 31 antiviral antiviral JJ cord-004073-k6ad4qgu 122 32 treatment treatment NN cord-004073-k6ad4qgu 122 33 . . . cord-004073-k6ad4qgu 123 1 To to TO cord-004073-k6ad4qgu 123 2 quantify quantify VB cord-004073-k6ad4qgu 123 3 the the DT cord-004073-k6ad4qgu 123 4 evolutionary evolutionary JJ cord-004073-k6ad4qgu 123 5 decision decision NN cord-004073-k6ad4qgu 123 6 dynamics dynamic NNS cord-004073-k6ad4qgu 123 7 of of IN cord-004073-k6ad4qgu 123 8 treatment treatment NN cord-004073-k6ad4qgu 123 9 versus versus IN cord-004073-k6ad4qgu 123 10 non non JJ cord-004073-k6ad4qgu 123 11 - - JJ cord-004073-k6ad4qgu 123 12 treatment treatment JJ cord-004073-k6ad4qgu 123 13 ( ( -LRB- cord-004073-k6ad4qgu 123 14 prescribing prescribe VBG cord-004073-k6ad4qgu 123 15 versus versus IN cord-004073-k6ad4qgu 123 16 non non JJ cord-004073-k6ad4qgu 123 17 - - JJ cord-004073-k6ad4qgu 123 18 prescribing prescribing JJ cord-004073-k6ad4qgu 123 19 ) ) -RRB- cord-004073-k6ad4qgu 123 20 , , , cord-004073-k6ad4qgu 123 21 we -PRON- PRP cord-004073-k6ad4qgu 123 22 specify specify VBP cord-004073-k6ad4qgu 123 23 the the DT cord-004073-k6ad4qgu 123 24 relative relative JJ cord-004073-k6ad4qgu 123 25 treatment treatment NN cord-004073-k6ad4qgu 123 26 cost cost NN cord-004073-k6ad4qgu 123 27 C C NNP cord-004073-k6ad4qgu 123 28 T T NNP cord-004073-k6ad4qgu 123 29 visà visà NN cord-004073-k6ad4qgu 123 30 - - HYPH cord-004073-k6ad4qgu 123 31 vis vis FW cord-004073-k6ad4qgu 123 32 the the DT cord-004073-k6ad4qgu 123 33 infection infection NN cord-004073-k6ad4qgu 123 34 cost cost NN cord-004073-k6ad4qgu 123 35 C c NN cord-004073-k6ad4qgu 123 36 i i NN cord-004073-k6ad4qgu 123 37 = = SYM cord-004073-k6ad4qgu 123 38 1 1 CD cord-004073-k6ad4qgu 123 39 . . . cord-004073-k6ad4qgu 124 1 We -PRON- PRP cord-004073-k6ad4qgu 124 2 also also RB cord-004073-k6ad4qgu 124 3 introduce introduce VBP cord-004073-k6ad4qgu 124 4 the the DT cord-004073-k6ad4qgu 124 5 benefit benefit NN cord-004073-k6ad4qgu 124 6 B B NNP cord-004073-k6ad4qgu 124 7 T T NNP cord-004073-k6ad4qgu 124 8 of of IN cord-004073-k6ad4qgu 124 9 treating treat VBG cord-004073-k6ad4qgu 124 10 the the DT cord-004073-k6ad4qgu 124 11 sensitive sensitive JJ cord-004073-k6ad4qgu 124 12 strain strain NN cord-004073-k6ad4qgu 124 13 ( ( -LRB- cord-004073-k6ad4qgu 124 14 the the DT cord-004073-k6ad4qgu 124 15 resistant resistant JJ cord-004073-k6ad4qgu 124 16 strain strain NN cord-004073-k6ad4qgu 124 17 is be VBZ cord-004073-k6ad4qgu 124 18 excluded exclude VBN cord-004073-k6ad4qgu 124 19 , , , cord-004073-k6ad4qgu 124 20 because because IN cord-004073-k6ad4qgu 124 21 it -PRON- PRP cord-004073-k6ad4qgu 124 22 is be VBZ cord-004073-k6ad4qgu 124 23 much much RB cord-004073-k6ad4qgu 124 24 more more RBR cord-004073-k6ad4qgu 124 25 difficult difficult JJ cord-004073-k6ad4qgu 124 26 to to TO cord-004073-k6ad4qgu 124 27 treat treat VB cord-004073-k6ad4qgu 124 28 than than IN cord-004073-k6ad4qgu 124 29 the the DT cord-004073-k6ad4qgu 124 30 sensitive sensitive JJ cord-004073-k6ad4qgu 124 31 strain strain NN cord-004073-k6ad4qgu 124 32 , , , cord-004073-k6ad4qgu 124 33 so so RB cord-004073-k6ad4qgu 125 1 B B NNP cord-004073-k6ad4qgu 125 2 T t NN cord-004073-k6ad4qgu 125 3 is be VBZ cord-004073-k6ad4qgu 125 4 always always RB cord-004073-k6ad4qgu 125 5 positive positive JJ cord-004073-k6ad4qgu 125 6 ) ) -RRB- cord-004073-k6ad4qgu 125 7 . . . cord-004073-k6ad4qgu 126 1 This this DT cord-004073-k6ad4qgu 126 2 idea idea NN cord-004073-k6ad4qgu 126 3 is be VBZ cord-004073-k6ad4qgu 126 4 formulated formulate VBN cord-004073-k6ad4qgu 126 5 as as IN cord-004073-k6ad4qgu 126 6 a a DT cord-004073-k6ad4qgu 126 7 two two CD cord-004073-k6ad4qgu 126 8 - - HYPH cord-004073-k6ad4qgu 126 9 strategy strategy NN cord-004073-k6ad4qgu 126 10 game game NN cord-004073-k6ad4qgu 126 11 in in IN cord-004073-k6ad4qgu 126 12 table table NN cord-004073-k6ad4qgu 126 13 1 1 CD cord-004073-k6ad4qgu 126 14 . . . cord-004073-k6ad4qgu 127 1 The the DT cord-004073-k6ad4qgu 127 2 fractions fraction NNS cord-004073-k6ad4qgu 127 3 of of IN cord-004073-k6ad4qgu 127 4 individuals individual NNS cord-004073-k6ad4qgu 127 5 infected infect VBN cord-004073-k6ad4qgu 127 6 with with IN cord-004073-k6ad4qgu 127 7 the the DT cord-004073-k6ad4qgu 127 8 sensitive sensitive JJ cord-004073-k6ad4qgu 127 9 and and CC cord-004073-k6ad4qgu 127 10 resistant resistant JJ cord-004073-k6ad4qgu 127 11 strains strain NNS cord-004073-k6ad4qgu 127 12 are be VBP cord-004073-k6ad4qgu 127 13 , , , cord-004073-k6ad4qgu 127 14 respectively respectively RB cord-004073-k6ad4qgu 127 15 , , , cord-004073-k6ad4qgu 127 16 given give VBN cord-004073-k6ad4qgu 127 17 by by IN cord-004073-k6ad4qgu 127 18 The the DT cord-004073-k6ad4qgu 127 19 expected expect VBN cord-004073-k6ad4qgu 127 20 payoffs payoff NNS cord-004073-k6ad4qgu 127 21 of of IN cord-004073-k6ad4qgu 127 22 the the DT cord-004073-k6ad4qgu 127 23 treated treat VBN cord-004073-k6ad4qgu 127 24 and and CC cord-004073-k6ad4qgu 127 25 untreated untreated JJ cord-004073-k6ad4qgu 127 26 individuals individual NNS cord-004073-k6ad4qgu 127 27 are be VBP cord-004073-k6ad4qgu 127 28 , , , cord-004073-k6ad4qgu 127 29 respectively respectively RB cord-004073-k6ad4qgu 127 30 , , , cord-004073-k6ad4qgu 127 31 given give VBN cord-004073-k6ad4qgu 127 32 by by IN cord-004073-k6ad4qgu 127 33 and and CC cord-004073-k6ad4qgu 127 34 To to TO cord-004073-k6ad4qgu 127 35 model model VB cord-004073-k6ad4qgu 127 36 the the DT cord-004073-k6ad4qgu 127 37 two two CD cord-004073-k6ad4qgu 127 38 - - HYPH cord-004073-k6ad4qgu 127 39 strategy strategy NN cord-004073-k6ad4qgu 127 40 game game NN cord-004073-k6ad4qgu 127 41 , , , cord-004073-k6ad4qgu 127 42 we -PRON- PRP cord-004073-k6ad4qgu 127 43 presume presume VBP cord-004073-k6ad4qgu 127 44 the the DT cord-004073-k6ad4qgu 127 45 DC DC NNP cord-004073-k6ad4qgu 127 46 strategy strategy NN cord-004073-k6ad4qgu 127 47 update update NN cord-004073-k6ad4qgu 127 48 rule rule NN cord-004073-k6ad4qgu 127 49 presented present VBN cord-004073-k6ad4qgu 127 50 in in IN cord-004073-k6ad4qgu 127 51 Iwamura Iwamura NNP cord-004073-k6ad4qgu 127 52 & & CC cord-004073-k6ad4qgu 127 53 Tanimoto Tanimoto NNP cord-004073-k6ad4qgu 127 54 [ [ -LRB- cord-004073-k6ad4qgu 127 55 51 51 CD cord-004073-k6ad4qgu 127 56 ] ] -RRB- cord-004073-k6ad4qgu 127 57 . . . cord-004073-k6ad4qgu 128 1 This this DT cord-004073-k6ad4qgu 128 2 rule rule NN cord-004073-k6ad4qgu 128 3 is be VBZ cord-004073-k6ad4qgu 128 4 designed design VBN cord-004073-k6ad4qgu 128 5 by by IN cord-004073-k6ad4qgu 128 6 comparing compare VBG cord-004073-k6ad4qgu 128 7 the the DT cord-004073-k6ad4qgu 128 8 expected expect VBN cord-004073-k6ad4qgu 128 9 payoffs payoff NNS cord-004073-k6ad4qgu 128 10 of of IN cord-004073-k6ad4qgu 128 11 the the DT cord-004073-k6ad4qgu 128 12 treated treated JJ cord-004073-k6ad4qgu 128 13 π π NN cord-004073-k6ad4qgu 128 14 T t NN cord-004073-k6ad4qgu 128 15 and and CC cord-004073-k6ad4qgu 128 16 untreated untreated JJ cord-004073-k6ad4qgu 128 17 π π NN cord-004073-k6ad4qgu 128 18 U u NN cord-004073-k6ad4qgu 128 19 individuals individual NNS cord-004073-k6ad4qgu 128 20 . . . cord-004073-k6ad4qgu 129 1 In in IN cord-004073-k6ad4qgu 129 2 the the DT cord-004073-k6ad4qgu 129 3 present present JJ cord-004073-k6ad4qgu 129 4 study study NN cord-004073-k6ad4qgu 129 5 , , , cord-004073-k6ad4qgu 129 6 the the DT cord-004073-k6ad4qgu 129 7 strategy strategy NN cord-004073-k6ad4qgu 129 8 updates update NNS cord-004073-k6ad4qgu 129 9 ( ( -LRB- cord-004073-k6ad4qgu 129 10 in in IN cord-004073-k6ad4qgu 129 11 both both CC cord-004073-k6ad4qgu 129 12 the the DT cord-004073-k6ad4qgu 129 13 treatment treatment NN cord-004073-k6ad4qgu 129 14 and and CC cord-004073-k6ad4qgu 129 15 vaccination vaccination NN cord-004073-k6ad4qgu 129 16 games game NNS cord-004073-k6ad4qgu 129 17 ( ( -LRB- cord-004073-k6ad4qgu 129 18 see see VB cord-004073-k6ad4qgu 129 19 later later RB cord-004073-k6ad4qgu 129 20 ) ) -RRB- cord-004073-k6ad4qgu 129 21 ) ) -RRB- cord-004073-k6ad4qgu 129 22 apply apply VBP cord-004073-k6ad4qgu 129 23 the the DT cord-004073-k6ad4qgu 129 24 mean mean JJ cord-004073-k6ad4qgu 129 25 - - HYPH cord-004073-k6ad4qgu 129 26 field field NN cord-004073-k6ad4qgu 129 27 approximation approximation NN cord-004073-k6ad4qgu 129 28 . . . cord-004073-k6ad4qgu 130 1 The the DT cord-004073-k6ad4qgu 130 2 modified modify VBN cord-004073-k6ad4qgu 130 3 Fermi Fermi NNP cord-004073-k6ad4qgu 130 4 function function NN cord-004073-k6ad4qgu 130 5 of of IN cord-004073-k6ad4qgu 130 6 DC DC NNP cord-004073-k6ad4qgu 130 7 is be VBZ cord-004073-k6ad4qgu 130 8 given give VBN cord-004073-k6ad4qgu 130 9 by by IN cord-004073-k6ad4qgu 130 10 where where WRB cord-004073-k6ad4qgu 130 11 π π NN cord-004073-k6ad4qgu 131 1 i i PRP cord-004073-k6ad4qgu 131 2 and and CC cord-004073-k6ad4qgu 131 3 π π NNP cord-004073-k6ad4qgu 131 4 j j NNP cord-004073-k6ad4qgu 131 5 are be VBP cord-004073-k6ad4qgu 131 6 the the DT cord-004073-k6ad4qgu 131 7 mean mean JJ cord-004073-k6ad4qgu 131 8 payoffs payoff NNS cord-004073-k6ad4qgu 131 9 of of IN cord-004073-k6ad4qgu 131 10 the the DT cord-004073-k6ad4qgu 131 11 focal focal JJ cord-004073-k6ad4qgu 131 12 portion portion NN cord-004073-k6ad4qgu 131 13 of of IN cord-004073-k6ad4qgu 131 14 individuals individual NNS cord-004073-k6ad4qgu 131 15 and and CC cord-004073-k6ad4qgu 131 16 the the DT cord-004073-k6ad4qgu 131 17 opponent opponent NN cord-004073-k6ad4qgu 131 18 strategy strategy NN cord-004073-k6ad4qgu 131 19 ( ( -LRB- cord-004073-k6ad4qgu 131 20 fraction fraction NN cord-004073-k6ad4qgu 131 21 ) ) -RRB- cord-004073-k6ad4qgu 131 22 , , , cord-004073-k6ad4qgu 131 23 respectively respectively RB cord-004073-k6ad4qgu 131 24 . . . cord-004073-k6ad4qgu 132 1 Here here RB cord-004073-k6ad4qgu 132 2 , , , cord-004073-k6ad4qgu 132 3 we -PRON- PRP cord-004073-k6ad4qgu 132 4 consider consider VBP cord-004073-k6ad4qgu 132 5 pairwise pairwise JJ cord-004073-k6ad4qgu 132 6 comparison comparison NN cord-004073-k6ad4qgu 132 7 between between IN cord-004073-k6ad4qgu 132 8 two two CD cord-004073-k6ad4qgu 132 9 groups group NNS cord-004073-k6ad4qgu 132 10 ; ; : cord-004073-k6ad4qgu 132 11 which which WDT cord-004073-k6ad4qgu 132 12 depends depend VBZ cord-004073-k6ad4qgu 132 13 on on IN cord-004073-k6ad4qgu 132 14 the the DT cord-004073-k6ad4qgu 132 15 payoff payoff NN cord-004073-k6ad4qgu 132 16 difference difference NN cord-004073-k6ad4qgu 132 17 π π . cord-004073-k6ad4qgu 133 1 j j NNP cord-004073-k6ad4qgu 133 2 − − NNP cord-004073-k6ad4qgu 134 1 π π LS cord-004073-k6ad4qgu 135 1 i i PRP cord-004073-k6ad4qgu 135 2 . . . cord-004073-k6ad4qgu 136 1 Because because IN cord-004073-k6ad4qgu 136 2 , , , cord-004073-k6ad4qgu 136 3 the the DT cord-004073-k6ad4qgu 136 4 pairwise pairwise NN cord-004073-k6ad4qgu 136 5 fermi fermi NNP cord-004073-k6ad4qgu 136 6 has have VBZ cord-004073-k6ad4qgu 136 7 been be VBN cord-004073-k6ad4qgu 136 8 wellaccepted wellaccepte VBN cord-004073-k6ad4qgu 136 9 strategy strategy NN cord-004073-k6ad4qgu 136 10 - - HYPH cord-004073-k6ad4qgu 136 11 updating update VBG cord-004073-k6ad4qgu 136 12 procedure procedure NN cord-004073-k6ad4qgu 136 13 that that WDT cord-004073-k6ad4qgu 136 14 stochastically stochastically RB cord-004073-k6ad4qgu 136 15 comparable comparable JJ cord-004073-k6ad4qgu 136 16 to to IN cord-004073-k6ad4qgu 136 17 the the DT cord-004073-k6ad4qgu 136 18 real real JJ cord-004073-k6ad4qgu 136 19 - - HYPH cord-004073-k6ad4qgu 136 20 world world NN cord-004073-k6ad4qgu 136 21 human human JJ cord-004073-k6ad4qgu 136 22 decision decision NN cord-004073-k6ad4qgu 136 23 - - HYPH cord-004073-k6ad4qgu 136 24 making make VBG cord-004073-k6ad4qgu 136 25 process process NN cord-004073-k6ad4qgu 136 26 . . . cord-004073-k6ad4qgu 137 1 The the DT cord-004073-k6ad4qgu 137 2 probabilities probability NNS cord-004073-k6ad4qgu 137 3 of of IN cord-004073-k6ad4qgu 137 4 the the DT cord-004073-k6ad4qgu 137 5 population population NN cord-004073-k6ad4qgu 137 6 transiting transit VBG cord-004073-k6ad4qgu 137 7 from from IN cord-004073-k6ad4qgu 137 8 untreated untreated JJ cord-004073-k6ad4qgu 137 9 to to IN cord-004073-k6ad4qgu 137 10 treated treat VBN cord-004073-k6ad4qgu 137 11 and and CC cord-004073-k6ad4qgu 137 12 from from IN cord-004073-k6ad4qgu 137 13 treated treat VBN cord-004073-k6ad4qgu 137 14 to to IN cord-004073-k6ad4qgu 137 15 untreated untreated JJ cord-004073-k6ad4qgu 137 16 are be VBP cord-004073-k6ad4qgu 137 17 , , , cord-004073-k6ad4qgu 137 18 respectively respectively RB cord-004073-k6ad4qgu 137 19 , , , cord-004073-k6ad4qgu 137 20 calculated calculate VBN cord-004073-k6ad4qgu 137 21 as as IN cord-004073-k6ad4qgu 137 22 and and CC cord-004073-k6ad4qgu 137 23 Consequently consequently RB cord-004073-k6ad4qgu 137 24 , , , cord-004073-k6ad4qgu 137 25 the the DT cord-004073-k6ad4qgu 137 26 treatment treatment NN cord-004073-k6ad4qgu 137 27 game game NN cord-004073-k6ad4qgu 137 28 is be VBZ cord-004073-k6ad4qgu 137 29 expressed express VBN cord-004073-k6ad4qgu 137 30 by by IN cord-004073-k6ad4qgu 137 31 the the DT cord-004073-k6ad4qgu 137 32 following follow VBG cord-004073-k6ad4qgu 137 33 DC DC NNP cord-004073-k6ad4qgu 137 34 dynamics dynamic NNS cord-004073-k6ad4qgu 137 35 : : : cord-004073-k6ad4qgu 138 1 Considering consider VBG cord-004073-k6ad4qgu 138 2 the the DT cord-004073-k6ad4qgu 138 3 defined define VBN cord-004073-k6ad4qgu 138 4 payoff payoff NN cord-004073-k6ad4qgu 138 5 structure structure NN cord-004073-k6ad4qgu 138 6 and and CC cord-004073-k6ad4qgu 138 7 the the DT cord-004073-k6ad4qgu 138 8 portion portion NN cord-004073-k6ad4qgu 138 9 of of IN cord-004073-k6ad4qgu 138 10 individuals individual NNS cord-004073-k6ad4qgu 138 11 presented present VBN cord-004073-k6ad4qgu 138 12 in in IN cord-004073-k6ad4qgu 138 13 table table NN cord-004073-k6ad4qgu 138 14 2 2 CD cord-004073-k6ad4qgu 138 15 , , , cord-004073-k6ad4qgu 138 16 the the DT cord-004073-k6ad4qgu 138 17 social social JJ cord-004073-k6ad4qgu 138 18 average average JJ cord-004073-k6ad4qgu 138 19 payoff payoff NN cord-004073-k6ad4qgu 138 20 π π NNP cord-004073-k6ad4qgu 138 21 , , , cord-004073-k6ad4qgu 138 22 expected expect VBN cord-004073-k6ad4qgu 138 23 value value NN cord-004073-k6ad4qgu 138 24 of of IN cord-004073-k6ad4qgu 138 25 vaccinators vaccinator NNS cord-004073-k6ad4qgu 138 26 π π NNP cord-004073-k6ad4qgu 138 27 C C NNP cord-004073-k6ad4qgu 138 28 and and CC cord-004073-k6ad4qgu 138 29 expected expect VBN cord-004073-k6ad4qgu 138 30 value value NN cord-004073-k6ad4qgu 138 31 of of IN cord-004073-k6ad4qgu 138 32 nonvaccinators nonvaccinator NNS cord-004073-k6ad4qgu 138 33 π π NNP cord-004073-k6ad4qgu 139 1 D D NNP cord-004073-k6ad4qgu 139 2 are be VBP cord-004073-k6ad4qgu 139 3 , , , cord-004073-k6ad4qgu 139 4 respectively respectively RB cord-004073-k6ad4qgu 139 5 , , , cord-004073-k6ad4qgu 139 6 given give VBN cord-004073-k6ad4qgu 139 7 by by IN cord-004073-k6ad4qgu 139 8 To to TO cord-004073-k6ad4qgu 139 9 formulate formulate VB cord-004073-k6ad4qgu 139 10 the the DT cord-004073-k6ad4qgu 139 11 evolutionary evolutionary JJ cord-004073-k6ad4qgu 139 12 process process NN cord-004073-k6ad4qgu 139 13 , , , cord-004073-k6ad4qgu 139 14 we -PRON- PRP cord-004073-k6ad4qgu 139 15 consider consider VBP cord-004073-k6ad4qgu 139 16 two two CD cord-004073-k6ad4qgu 139 17 types type NNS cord-004073-k6ad4qgu 139 18 of of IN cord-004073-k6ad4qgu 139 19 strategy strategy NN cord-004073-k6ad4qgu 139 20 adaptation adaptation NN cord-004073-k6ad4qgu 139 21 procedures procedure NNS cord-004073-k6ad4qgu 139 22 [ [ -LRB- cord-004073-k6ad4qgu 139 23 53 53 CD cord-004073-k6ad4qgu 139 24 ] ] -RRB- cord-004073-k6ad4qgu 139 25 ; ; : cord-004073-k6ad4qgu 139 26 IB IB NNP cord-004073-k6ad4qgu 139 27 - - HYPH cord-004073-k6ad4qgu 139 28 RA RA NNP cord-004073-k6ad4qgu 139 29 and and CC cord-004073-k6ad4qgu 139 30 SB SB NNP cord-004073-k6ad4qgu 139 31 - - HYPH cord-004073-k6ad4qgu 139 32 RA RA NNP cord-004073-k6ad4qgu 139 33 . . . cord-004073-k6ad4qgu 140 1 In in IN cord-004073-k6ad4qgu 140 2 the the DT cord-004073-k6ad4qgu 140 3 case case NN cord-004073-k6ad4qgu 140 4 of of IN cord-004073-k6ad4qgu 140 5 IB IB NNP cord-004073-k6ad4qgu 140 6 - - HYPH cord-004073-k6ad4qgu 140 7 RA RA NNP cord-004073-k6ad4qgu 140 8 , , , cord-004073-k6ad4qgu 140 9 an an DT cord-004073-k6ad4qgu 140 10 individual individual NN cord-004073-k6ad4qgu 140 11 can can MD cord-004073-k6ad4qgu 140 12 update update VB cord-004073-k6ad4qgu 140 13 strategy strategy NN cord-004073-k6ad4qgu 140 14 by by IN cord-004073-k6ad4qgu 140 15 observing observe VBG cord-004073-k6ad4qgu 140 16 a a DT cord-004073-k6ad4qgu 140 17 neighbour neighbour NN cord-004073-k6ad4qgu 140 18 's 's POS cord-004073-k6ad4qgu 140 19 strategy strategy NN cord-004073-k6ad4qgu 140 20 . . . cord-004073-k6ad4qgu 141 1 The the DT cord-004073-k6ad4qgu 141 2 update update NN cord-004073-k6ad4qgu 141 3 is be VBZ cord-004073-k6ad4qgu 141 4 governed govern VBN cord-004073-k6ad4qgu 141 5 by by IN cord-004073-k6ad4qgu 141 6 the the DT cord-004073-k6ad4qgu 141 7 transition transition NN cord-004073-k6ad4qgu 141 8 probability probability NN cord-004073-k6ad4qgu 142 1 Prob(s prob(s NN cord-004073-k6ad4qgu 143 1 i i PRP cord-004073-k6ad4qgu 143 2 ← ← NNP cord-004073-k6ad4qgu 143 3 s s NNP cord-004073-k6ad4qgu 143 4 j j NNP cord-004073-k6ad4qgu 143 5 ) ) -RRB- cord-004073-k6ad4qgu 144 1 taken take VBN cord-004073-k6ad4qgu 144 2 from from IN cord-004073-k6ad4qgu 144 3 the the DT cord-004073-k6ad4qgu 144 4 pairwise pairwise JJ cord-004073-k6ad4qgu 144 5 Fermi Fermi NNP cord-004073-k6ad4qgu 144 6 function function NN cord-004073-k6ad4qgu 144 7 [ [ -LRB- cord-004073-k6ad4qgu 144 8 1 1 CD cord-004073-k6ad4qgu 144 9 ] ] -RRB- cord-004073-k6ad4qgu 144 10 . . . cord-004073-k6ad4qgu 145 1 Alternatively alternatively RB cord-004073-k6ad4qgu 145 2 , , , cord-004073-k6ad4qgu 145 3 in in IN cord-004073-k6ad4qgu 145 4 an an DT cord-004073-k6ad4qgu 145 5 SB SB NNP cord-004073-k6ad4qgu 145 6 - - HYPH cord-004073-k6ad4qgu 145 7 RA RA NNP cord-004073-k6ad4qgu 145 8 , , , cord-004073-k6ad4qgu 145 9 an an DT cord-004073-k6ad4qgu 145 10 individual individual NN cord-004073-k6ad4qgu 145 11 relies rely VBZ cord-004073-k6ad4qgu 145 12 on on IN cord-004073-k6ad4qgu 145 13 the the DT cord-004073-k6ad4qgu 145 14 mean mean JJ cord-004073-k6ad4qgu 145 15 payoff payoff NN cord-004073-k6ad4qgu 145 16 of of IN cord-004073-k6ad4qgu 145 17 all all DT cord-004073-k6ad4qgu 145 18 opposite opposite JJ cord-004073-k6ad4qgu 145 19 neighbours neighbour NNS cord-004073-k6ad4qgu 145 20 [ [ -LRB- cord-004073-k6ad4qgu 145 21 2 2 CD cord-004073-k6ad4qgu 145 22 ] ] -RRB- cord-004073-k6ad4qgu 145 23 . . . cord-004073-k6ad4qgu 146 1 We -PRON- PRP cord-004073-k6ad4qgu 146 2 apply apply VBP cord-004073-k6ad4qgu 146 3 the the DT cord-004073-k6ad4qgu 146 4 mean mean JJ cord-004073-k6ad4qgu 146 5 - - HYPH cord-004073-k6ad4qgu 146 6 field field NN cord-004073-k6ad4qgu 146 7 approximation approximation NN cord-004073-k6ad4qgu 146 8 to to TO cord-004073-k6ad4qgu 146 9 formulate formulate VB cord-004073-k6ad4qgu 146 10 the the DT cord-004073-k6ad4qgu 146 11 adaptation adaptation NN cord-004073-k6ad4qgu 146 12 dynamics dynamic NNS cord-004073-k6ad4qgu 146 13 in in IN cord-004073-k6ad4qgu 146 14 both both CC cord-004073-k6ad4qgu 146 15 the the DT cord-004073-k6ad4qgu 146 16 IB IB NNP cord-004073-k6ad4qgu 146 17 - - HYPH cord-004073-k6ad4qgu 146 18 RA RA NNP cord-004073-k6ad4qgu 146 19 and and CC cord-004073-k6ad4qgu 146 20 SB SB NNP cord-004073-k6ad4qgu 146 21 - - HYPH cord-004073-k6ad4qgu 146 22 RA RA NNP cord-004073-k6ad4qgu 146 23 rules rule NNS cord-004073-k6ad4qgu 146 24 . . . cord-004073-k6ad4qgu 147 1 Here here RB cord-004073-k6ad4qgu 147 2 , , , cord-004073-k6ad4qgu 147 3 we -PRON- PRP cord-004073-k6ad4qgu 147 4 replace replace VBP cord-004073-k6ad4qgu 147 5 the the DT cord-004073-k6ad4qgu 147 6 first first JJ cord-004073-k6ad4qgu 147 7 row row NN cord-004073-k6ad4qgu 147 8 by by IN cord-004073-k6ad4qgu 147 9 the the DT cord-004073-k6ad4qgu 147 10 actual actual JJ cord-004073-k6ad4qgu 147 11 transition transition NN cord-004073-k6ad4qgu 147 12 probabilities probability NNS cord-004073-k6ad4qgu 147 13 in in IN cord-004073-k6ad4qgu 147 14 the the DT cord-004073-k6ad4qgu 147 15 second second JJ cord-004073-k6ad4qgu 147 16 row row NN cord-004073-k6ad4qgu 147 17 of of IN cord-004073-k6ad4qgu 147 18 table table NN cord-004073-k6ad4qgu 147 19 3 3 CD cord-004073-k6ad4qgu 147 20 . . . cord-004073-k6ad4qgu 148 1 To to TO cord-004073-k6ad4qgu 148 2 establish establish VB cord-004073-k6ad4qgu 148 3 the the DT cord-004073-k6ad4qgu 148 4 dynamical dynamical JJ cord-004073-k6ad4qgu 148 5 system system NN cord-004073-k6ad4qgu 148 6 at at IN cord-004073-k6ad4qgu 148 7 the the DT cord-004073-k6ad4qgu 148 8 end end NN cord-004073-k6ad4qgu 148 9 of of IN cord-004073-k6ad4qgu 148 10 each each DT cord-004073-k6ad4qgu 148 11 epidemic epidemic NN cord-004073-k6ad4qgu 148 12 season season NN cord-004073-k6ad4qgu 148 13 , , , cord-004073-k6ad4qgu 148 14 we -PRON- PRP cord-004073-k6ad4qgu 148 15 formulate formulate VBP cord-004073-k6ad4qgu 148 16 IB IB NNP cord-004073-k6ad4qgu 148 17 - - HYPH cord-004073-k6ad4qgu 148 18 RA RA NNP cord-004073-k6ad4qgu 148 19 and and CC cord-004073-k6ad4qgu 148 20 SB SB NNP cord-004073-k6ad4qgu 148 21 - - HYPH cord-004073-k6ad4qgu 148 22 RA RA NNP cord-004073-k6ad4qgu 148 23 as as IN cord-004073-k6ad4qgu 148 24 mathematical mathematical JJ cord-004073-k6ad4qgu 148 25 models model NNS cord-004073-k6ad4qgu 148 26 that that WDT cord-004073-k6ad4qgu 148 27 modify modify VBP cord-004073-k6ad4qgu 148 28 the the DT cord-004073-k6ad4qgu 148 29 fraction fraction NN cord-004073-k6ad4qgu 148 30 of of IN cord-004073-k6ad4qgu 148 31 vaccinators vaccinator NNS cord-004073-k6ad4qgu 148 32 x. x. . cord-004073-k6ad4qgu 149 1 The the DT cord-004073-k6ad4qgu 149 2 evolutionary evolutionary JJ cord-004073-k6ad4qgu 149 3 dynamics dynamic NNS cord-004073-k6ad4qgu 149 4 of of IN cord-004073-k6ad4qgu 149 5 the the DT cord-004073-k6ad4qgu 149 6 IB IB NNP cord-004073-k6ad4qgu 149 7 - - HYPH cord-004073-k6ad4qgu 149 8 RA RA NNP cord-004073-k6ad4qgu 149 9 and and CC cord-004073-k6ad4qgu 149 10 SB SB NNP cord-004073-k6ad4qgu 149 11 - - HYPH cord-004073-k6ad4qgu 149 12 RA RA NNP cord-004073-k6ad4qgu 149 13 are be VBP cord-004073-k6ad4qgu 149 14 , , , cord-004073-k6ad4qgu 149 15 respectively respectively RB cord-004073-k6ad4qgu 149 16 , , , cord-004073-k6ad4qgu 149 17 given give VBN cord-004073-k6ad4qgu 149 18 by by IN cord-004073-k6ad4qgu 149 19 Individual Individual NNP cord-004073-k6ad4qgu 149 20 - - HYPH cord-004073-k6ad4qgu 149 21 based base VBN cord-004073-k6ad4qgu 149 22 risk risk NN cord-004073-k6ad4qgu 149 23 assessment assessment NN cord-004073-k6ad4qgu 149 24 ( ( -LRB- cord-004073-k6ad4qgu 149 25 IB IB NNP cord-004073-k6ad4qgu 149 26 - - HYPH cord-004073-k6ad4qgu 149 27 RA RA NNP cord-004073-k6ad4qgu 149 28 ) ) -RRB- cord-004073-k6ad4qgu 150 1 Society society NN cord-004073-k6ad4qgu 150 2 - - HYPH cord-004073-k6ad4qgu 150 3 based base VBN cord-004073-k6ad4qgu 150 4 risk risk NN cord-004073-k6ad4qgu 150 5 assessment assessment NN cord-004073-k6ad4qgu 150 6 ( ( -LRB- cord-004073-k6ad4qgu 150 7 SB SB NNP cord-004073-k6ad4qgu 150 8 - - HYPH cord-004073-k6ad4qgu 150 9 RA RA NNP cord-004073-k6ad4qgu 150 10 ) ) -RRB- cord-004073-k6ad4qgu 151 1 We -PRON- PRP cord-004073-k6ad4qgu 151 2 have have VBP cord-004073-k6ad4qgu 151 3 now now RB cord-004073-k6ad4qgu 151 4 established establish VBN cord-004073-k6ad4qgu 151 5 all all DT cord-004073-k6ad4qgu 151 6 mathematical mathematical JJ cord-004073-k6ad4qgu 151 7 frameworks framework NNS cord-004073-k6ad4qgu 151 8 in in IN cord-004073-k6ad4qgu 151 9 both both CC cord-004073-k6ad4qgu 151 10 the the DT cord-004073-k6ad4qgu 151 11 vaccination vaccination NN cord-004073-k6ad4qgu 151 12 and and CC cord-004073-k6ad4qgu 151 13 treatment treatment NN cord-004073-k6ad4qgu 151 14 cases case NNS cord-004073-k6ad4qgu 151 15 . . . cord-004073-k6ad4qgu 152 1 The the DT cord-004073-k6ad4qgu 152 2 above above JJ cord-004073-k6ad4qgu 152 3 set set NN cord-004073-k6ad4qgu 152 4 of of IN cord-004073-k6ad4qgu 152 5 equations equation NNS cord-004073-k6ad4qgu 152 6 is be VBZ cord-004073-k6ad4qgu 152 7 numerically numerically RB cord-004073-k6ad4qgu 152 8 solved solve VBN cord-004073-k6ad4qgu 152 9 by by IN cord-004073-k6ad4qgu 152 10 the the DT cord-004073-k6ad4qgu 152 11 explicit explicit JJ cord-004073-k6ad4qgu 152 12 finite finite JJ cord-004073-k6ad4qgu 152 13 difference difference NN cord-004073-k6ad4qgu 152 14 method method NN cord-004073-k6ad4qgu 152 15 . . . cord-004073-k6ad4qgu 153 1 The the DT cord-004073-k6ad4qgu 153 2 calculation calculation NN cord-004073-k6ad4qgu 153 3 results result NNS cord-004073-k6ad4qgu 153 4 affected affect VBN cord-004073-k6ad4qgu 153 5 by by IN cord-004073-k6ad4qgu 153 6 the the DT cord-004073-k6ad4qgu 153 7 two two CD cord-004073-k6ad4qgu 153 8 - - HYPH cord-004073-k6ad4qgu 153 9 stage stage NN cord-004073-k6ad4qgu 153 10 process process NN cord-004073-k6ad4qgu 153 11 ( ( -LRB- cord-004073-k6ad4qgu 153 12 the the DT cord-004073-k6ad4qgu 153 13 SITR SITR NNP cord-004073-k6ad4qgu 153 14 / / SYM cord-004073-k6ad4qgu 153 15 V V NNP cord-004073-k6ad4qgu 153 16 dynamical dynamical JJ cord-004073-k6ad4qgu 153 17 model model NN cord-004073-k6ad4qgu 153 18 and and CC cord-004073-k6ad4qgu 153 19 treatment treatment NN cord-004073-k6ad4qgu 153 20 update update NN cord-004073-k6ad4qgu 153 21 ) ) -RRB- cord-004073-k6ad4qgu 153 22 are be VBP cord-004073-k6ad4qgu 153 23 together together RB cord-004073-k6ad4qgu 153 24 obtained obtain VBN cord-004073-k6ad4qgu 153 25 in in IN cord-004073-k6ad4qgu 153 26 a a DT cord-004073-k6ad4qgu 153 27 single single JJ cord-004073-k6ad4qgu 153 28 season season NN cord-004073-k6ad4qgu 153 29 ( ( -LRB- cord-004073-k6ad4qgu 153 30 local local JJ cord-004073-k6ad4qgu 153 31 update update NN cord-004073-k6ad4qgu 153 32 ) ) -RRB- cord-004073-k6ad4qgu 153 33 at at IN cord-004073-k6ad4qgu 153 34 equilibrium equilibrium NN cord-004073-k6ad4qgu 153 35 , , , cord-004073-k6ad4qgu 153 36 and and CC cord-004073-k6ad4qgu 153 37 the the DT cord-004073-k6ad4qgu 153 38 vaccination vaccination NN cord-004073-k6ad4qgu 153 39 strategy strategy NN cord-004073-k6ad4qgu 153 40 is be VBZ cord-004073-k6ad4qgu 153 41 adopted adopt VBN cord-004073-k6ad4qgu 153 42 at at IN cord-004073-k6ad4qgu 153 43 the the DT cord-004073-k6ad4qgu 153 44 end end NN cord-004073-k6ad4qgu 153 45 of of IN cord-004073-k6ad4qgu 153 46 every every DT cord-004073-k6ad4qgu 153 47 season season NN cord-004073-k6ad4qgu 153 48 ( ( -LRB- cord-004073-k6ad4qgu 153 49 global global JJ cord-004073-k6ad4qgu 153 50 update update NN cord-004073-k6ad4qgu 153 51 ) ) -RRB- cord-004073-k6ad4qgu 153 52 . . . cord-004073-k6ad4qgu 154 1 The the DT cord-004073-k6ad4qgu 154 2 initial initial JJ cord-004073-k6ad4qgu 154 3 values value NNS cord-004073-k6ad4qgu 154 4 were be VBD cord-004073-k6ad4qgu 154 5 set set VBN cord-004073-k6ad4qgu 154 6 as as IN cord-004073-k6ad4qgu 154 7 V v NN cord-004073-k6ad4qgu 154 8 ( ( -LRB- cord-004073-k6ad4qgu 154 9 The the DT cord-004073-k6ad4qgu 154 10 results result NNS cord-004073-k6ad4qgu 154 11 are be VBP cord-004073-k6ad4qgu 154 12 presented present VBN cord-004073-k6ad4qgu 154 13 in in IN cord-004073-k6ad4qgu 154 14 two two CD cord-004073-k6ad4qgu 154 15 - - HYPH cord-004073-k6ad4qgu 154 16 dimensional dimensional JJ cord-004073-k6ad4qgu 154 17 ( ( -LRB- cord-004073-k6ad4qgu 154 18 2D 2D NNP cord-004073-k6ad4qgu 154 19 ) ) -RRB- cord-004073-k6ad4qgu 154 20 phase phase NN cord-004073-k6ad4qgu 154 21 diagrams diagram NNS cord-004073-k6ad4qgu 154 22 . . . cord-004073-k6ad4qgu 155 1 The the DT cord-004073-k6ad4qgu 155 2 strategy strategy NN cord-004073-k6ad4qgu 155 3 update update NN cord-004073-k6ad4qgu 155 4 rules rule NNS cord-004073-k6ad4qgu 155 5 of of IN cord-004073-k6ad4qgu 155 6 the the DT cord-004073-k6ad4qgu 155 7 vaccination vaccination NN cord-004073-k6ad4qgu 155 8 game game NN cord-004073-k6ad4qgu 155 9 ( ( -LRB- cord-004073-k6ad4qgu 155 10 IB IB NNP cord-004073-k6ad4qgu 155 11 - - HYPH cord-004073-k6ad4qgu 155 12 RA RA NNP cord-004073-k6ad4qgu 155 13 or or CC cord-004073-k6ad4qgu 155 14 SB SB NNP cord-004073-k6ad4qgu 155 15 - - HYPH cord-004073-k6ad4qgu 155 16 RA RA NNP cord-004073-k6ad4qgu 155 17 ) ) -RRB- cord-004073-k6ad4qgu 155 18 and and CC cord-004073-k6ad4qgu 155 19 the the DT cord-004073-k6ad4qgu 155 20 DC DC NNP cord-004073-k6ad4qgu 155 21 were be VBD cord-004073-k6ad4qgu 155 22 applied apply VBN cord-004073-k6ad4qgu 155 23 on on IN cord-004073-k6ad4qgu 155 24 the the DT cord-004073-k6ad4qgu 155 25 global global JJ cord-004073-k6ad4qgu 155 26 and and CC cord-004073-k6ad4qgu 155 27 local local JJ cord-004073-k6ad4qgu 155 28 time time NN cord-004073-k6ad4qgu 155 29 scales scale NNS cord-004073-k6ad4qgu 155 30 , , , cord-004073-k6ad4qgu 155 31 respectively respectively RB cord-004073-k6ad4qgu 155 32 ( ( -LRB- cord-004073-k6ad4qgu 155 33 where where WRB cord-004073-k6ad4qgu 155 34 the the DT cord-004073-k6ad4qgu 155 35 DC DC NNP cord-004073-k6ad4qgu 155 36 depicts depict VBZ cord-004073-k6ad4qgu 155 37 the the DT cord-004073-k6ad4qgu 155 38 prescribing prescribe VBG cord-004073-k6ad4qgu 155 39 behaviour behaviour NN cord-004073-k6ad4qgu 155 40 of of IN cord-004073-k6ad4qgu 155 41 the the DT cord-004073-k6ad4qgu 155 42 treatment treatment NN cord-004073-k6ad4qgu 155 43 policy policy NN cord-004073-k6ad4qgu 155 44 ) ) -RRB- cord-004073-k6ad4qgu 155 45 . . . cord-004073-k6ad4qgu 156 1 The the DT cord-004073-k6ad4qgu 156 2 coalescing coalesce VBG cord-004073-k6ad4qgu 156 3 impact impact NN cord-004073-k6ad4qgu 156 4 of of IN cord-004073-k6ad4qgu 156 5 proactive proactive JJ cord-004073-k6ad4qgu 156 6 vaccination vaccination NN cord-004073-k6ad4qgu 156 7 and and CC cord-004073-k6ad4qgu 156 8 the the DT cord-004073-k6ad4qgu 156 9 retroactive retroactive JJ cord-004073-k6ad4qgu 156 10 treatment treatment NN cord-004073-k6ad4qgu 156 11 policy policy NN cord-004073-k6ad4qgu 156 12 based base VBN cord-004073-k6ad4qgu 156 13 on on IN cord-004073-k6ad4qgu 156 14 human human JJ cord-004073-k6ad4qgu 156 15 behaviour behaviour NN cord-004073-k6ad4qgu 156 16 was be VBD cord-004073-k6ad4qgu 156 17 formulated formulate VBN cord-004073-k6ad4qgu 156 18 by by IN cord-004073-k6ad4qgu 156 19 the the DT cord-004073-k6ad4qgu 156 20 conventional conventional JJ cord-004073-k6ad4qgu 156 21 mean mean JJ cord-004073-k6ad4qgu 156 22 - - HYPH cord-004073-k6ad4qgu 156 23 field field NN cord-004073-k6ad4qgu 156 24 approximation approximation NN cord-004073-k6ad4qgu 156 25 . . . cord-004073-k6ad4qgu 157 1 The the DT cord-004073-k6ad4qgu 157 2 simultaneous simultaneous JJ cord-004073-k6ad4qgu 157 3 changes change NNS cord-004073-k6ad4qgu 157 4 of of IN cord-004073-k6ad4qgu 157 5 two two CD cord-004073-k6ad4qgu 157 6 coevolutionary coevolutionary JJ cord-004073-k6ad4qgu 157 7 decision decision NN cord-004073-k6ad4qgu 157 8 - - HYPH cord-004073-k6ad4qgu 157 9 making make VBG cord-004073-k6ad4qgu 157 10 processes process NNS cord-004073-k6ad4qgu 157 11 were be VBD cord-004073-k6ad4qgu 157 12 globally globally RB cord-004073-k6ad4qgu 157 13 demonstrated demonstrate VBN cord-004073-k6ad4qgu 157 14 in in IN cord-004073-k6ad4qgu 157 15 two two CD cord-004073-k6ad4qgu 157 16 cases case NNS cord-004073-k6ad4qgu 157 17 . . . cord-004073-k6ad4qgu 158 1 We -PRON- PRP cord-004073-k6ad4qgu 158 2 first first RB cord-004073-k6ad4qgu 158 3 explored explore VBD cord-004073-k6ad4qgu 158 4 the the DT cord-004073-k6ad4qgu 158 5 phase phase NN cord-004073-k6ad4qgu 158 6 diagram diagram NN cord-004073-k6ad4qgu 158 7 of of IN cord-004073-k6ad4qgu 158 8 the the DT cord-004073-k6ad4qgu 158 9 final final JJ cord-004073-k6ad4qgu 158 10 epidemic epidemic NN cord-004073-k6ad4qgu 158 11 size size NN cord-004073-k6ad4qgu 158 12 ( ( -LRB- cord-004073-k6ad4qgu 158 13 FES FES NNP cord-004073-k6ad4qgu 158 14 ) ) -RRB- cord-004073-k6ad4qgu 158 15 , , , cord-004073-k6ad4qgu 158 16 vaccination vaccination NN cord-004073-k6ad4qgu 158 17 coverage coverage NN cord-004073-k6ad4qgu 158 18 ( ( -LRB- cord-004073-k6ad4qgu 158 19 VC VC NNP cord-004073-k6ad4qgu 158 20 ) ) -RRB- cord-004073-k6ad4qgu 158 21 , , , cord-004073-k6ad4qgu 158 22 fraction fraction NN cord-004073-k6ad4qgu 158 23 of of IN cord-004073-k6ad4qgu 158 24 treated treat VBN cord-004073-k6ad4qgu 158 25 people people NNS cord-004073-k6ad4qgu 158 26 ( ( -LRB- cord-004073-k6ad4qgu 158 27 FTR FTR NNP cord-004073-k6ad4qgu 158 28 ) ) -RRB- cord-004073-k6ad4qgu 158 29 and and CC cord-004073-k6ad4qgu 158 30 the the DT cord-004073-k6ad4qgu 158 31 average average JJ cord-004073-k6ad4qgu 158 32 social social JJ cord-004073-k6ad4qgu 158 33 payoff payoff NN cord-004073-k6ad4qgu 158 34 ( ( -LRB- cord-004073-k6ad4qgu 158 35 ASP ASP NNP cord-004073-k6ad4qgu 158 36 ) ) -RRB- cord-004073-k6ad4qgu 158 37 while while IN cord-004073-k6ad4qgu 158 38 varying vary VBG cord-004073-k6ad4qgu 158 39 two two CD cord-004073-k6ad4qgu 158 40 parameters parameter NNS cord-004073-k6ad4qgu 158 41 : : : cord-004073-k6ad4qgu 158 42 the the DT cord-004073-k6ad4qgu 158 43 vaccination vaccination NN cord-004073-k6ad4qgu 158 44 effectiveness effectiveness NN cord-004073-k6ad4qgu 158 45 e e NN cord-004073-k6ad4qgu 158 46 and and CC cord-004073-k6ad4qgu 158 47 the the DT cord-004073-k6ad4qgu 158 48 treatment treatment NN cord-004073-k6ad4qgu 158 49 efficacy efficacy NN cord-004073-k6ad4qgu 158 50 ε ε NNP cord-004073-k6ad4qgu 158 51 , , , cord-004073-k6ad4qgu 158 52 maintaining maintain VBG cord-004073-k6ad4qgu 158 53 sensible sensible JJ cord-004073-k6ad4qgu 158 54 fixed fix VBN cord-004073-k6ad4qgu 158 55 values value NNS cord-004073-k6ad4qgu 158 56 of of IN cord-004073-k6ad4qgu 158 57 the the DT cord-004073-k6ad4qgu 158 58 other other JJ cord-004073-k6ad4qgu 158 59 parameters parameter NNS cord-004073-k6ad4qgu 158 60 . . . cord-004073-k6ad4qgu 159 1 In in IN cord-004073-k6ad4qgu 159 2 the the DT cord-004073-k6ad4qgu 159 3 second second JJ cord-004073-k6ad4qgu 159 4 case case NN cord-004073-k6ad4qgu 159 5 , , , cord-004073-k6ad4qgu 159 6 we -PRON- PRP cord-004073-k6ad4qgu 159 7 introduce introduce VBP cord-004073-k6ad4qgu 159 8 SED SED NNP cord-004073-k6ad4qgu 159 9 that that WDT cord-004073-k6ad4qgu 159 10 explicitly explicitly RB cord-004073-k6ad4qgu 159 11 reveals reveal VBZ cord-004073-k6ad4qgu 159 12 the the DT cord-004073-k6ad4qgu 159 13 As as IN cord-004073-k6ad4qgu 159 14 shown show VBN cord-004073-k6ad4qgu 159 15 in in IN cord-004073-k6ad4qgu 159 16 figure figure NN cord-004073-k6ad4qgu 159 17 3 3 CD cord-004073-k6ad4qgu 159 18 , , , cord-004073-k6ad4qgu 159 19 the the DT cord-004073-k6ad4qgu 159 20 FES FES NNP cord-004073-k6ad4qgu 159 21 increased increase VBD cord-004073-k6ad4qgu 159 22 ( ( -LRB- cord-004073-k6ad4qgu 159 23 higher high JJR cord-004073-k6ad4qgu 159 24 infection infection NN cord-004073-k6ad4qgu 159 25 region region NN cord-004073-k6ad4qgu 159 26 ) ) -RRB- cord-004073-k6ad4qgu 159 27 with with IN cord-004073-k6ad4qgu 159 28 increasing increase VBG cord-004073-k6ad4qgu 159 29 vaccination vaccination NN cord-004073-k6ad4qgu 159 30 cost cost NN cord-004073-k6ad4qgu 159 31 C c NN cord-004073-k6ad4qgu 159 32 r r NN cord-004073-k6ad4qgu 159 33 and and CC cord-004073-k6ad4qgu 159 34 treatment treatment NN cord-004073-k6ad4qgu 159 35 cost cost NN cord-004073-k6ad4qgu 159 36 C c NN cord-004073-k6ad4qgu 159 37 T t NN cord-004073-k6ad4qgu 159 38 . . . cord-004073-k6ad4qgu 160 1 Reducing reduce VBG cord-004073-k6ad4qgu 160 2 the the DT cord-004073-k6ad4qgu 160 3 cost cost NN cord-004073-k6ad4qgu 160 4 of of IN cord-004073-k6ad4qgu 160 5 both both DT cord-004073-k6ad4qgu 160 6 vaccination vaccination NN cord-004073-k6ad4qgu 160 7 ( ( -LRB- cord-004073-k6ad4qgu 160 8 C c NN cord-004073-k6ad4qgu 160 9 r r NN cord-004073-k6ad4qgu 160 10 = = NN cord-004073-k6ad4qgu 160 11 0.1 0.1 CD cord-004073-k6ad4qgu 160 12 ) ) -RRB- cord-004073-k6ad4qgu 160 13 and and CC cord-004073-k6ad4qgu 160 14 treatment treatment NN cord-004073-k6ad4qgu 160 15 ( ( -LRB- cord-004073-k6ad4qgu 160 16 C c NN cord-004073-k6ad4qgu 160 17 T t NN cord-004073-k6ad4qgu 160 18 = = SYM cord-004073-k6ad4qgu 160 19 0.1 0.1 CD cord-004073-k6ad4qgu 160 20 ) ) -RRB- cord-004073-k6ad4qgu 160 21 improved improve VBD cord-004073-k6ad4qgu 160 22 the the DT cord-004073-k6ad4qgu 160 23 FES FES NNP cord-004073-k6ad4qgu 160 24 ( ( -LRB- cord-004073-k6ad4qgu 160 25 lowered lower VBD cord-004073-k6ad4qgu 160 26 the the DT cord-004073-k6ad4qgu 160 27 infection infection NN cord-004073-k6ad4qgu 160 28 region region NN cord-004073-k6ad4qgu 160 29 ) ) -RRB- cord-004073-k6ad4qgu 161 1 ( ( -LRB- cord-004073-k6ad4qgu 161 2 figure figure NN cord-004073-k6ad4qgu 161 3 3(a 3(a CD cord-004073-k6ad4qgu 161 4 - - : cord-004073-k6ad4qgu 161 5 i i NN cord-004073-k6ad4qgu 161 6 ) ) -RRB- cord-004073-k6ad4qgu 161 7 , , , cord-004073-k6ad4qgu 161 8 both both DT cord-004073-k6ad4qgu 161 9 panels panel NNS cord-004073-k6ad4qgu 161 10 ) ) -RRB- cord-004073-k6ad4qgu 161 11 . . . cord-004073-k6ad4qgu 162 1 Furthermore furthermore RB cord-004073-k6ad4qgu 162 2 , , , cord-004073-k6ad4qgu 162 3 reducing reduce VBG cord-004073-k6ad4qgu 162 4 the the DT cord-004073-k6ad4qgu 162 5 costs cost NNS cord-004073-k6ad4qgu 162 6 ( ( -LRB- cord-004073-k6ad4qgu 162 7 C C NNP cord-004073-k6ad4qgu 162 8 r r NN cord-004073-k6ad4qgu 162 9 , , , cord-004073-k6ad4qgu 162 10 C c NN cord-004073-k6ad4qgu 162 11 T t NN cord-004073-k6ad4qgu 162 12 < < XX cord-004073-k6ad4qgu 162 13 0.5 0.5 CD cord-004073-k6ad4qgu 162 14 ) ) -RRB- cord-004073-k6ad4qgu 162 15 more more RBR cord-004073-k6ad4qgu 162 16 effectively effectively RB cord-004073-k6ad4qgu 162 17 benefitted benefit VBD cord-004073-k6ad4qgu 162 18 the the DT cord-004073-k6ad4qgu 162 19 FES FES NNP cord-004073-k6ad4qgu 162 20 ( ( -LRB- cord-004073-k6ad4qgu 162 21 in in IN cord-004073-k6ad4qgu 162 22 terms term NNS cord-004073-k6ad4qgu 162 23 of of IN cord-004073-k6ad4qgu 162 24 the the DT cord-004073-k6ad4qgu 162 25 critical critical JJ cord-004073-k6ad4qgu 162 26 borderline borderline NN cord-004073-k6ad4qgu 162 27 between between IN cord-004073-k6ad4qgu 162 28 infection infection NN cord-004073-k6ad4qgu 162 29 breakout breakout NN cord-004073-k6ad4qgu 162 30 and and CC cord-004073-k6ad4qgu 162 31 diminution diminution NN cord-004073-k6ad4qgu 162 32 ) ) -RRB- cord-004073-k6ad4qgu 162 33 in in IN cord-004073-k6ad4qgu 162 34 IB IB NNP cord-004073-k6ad4qgu 162 35 - - HYPH cord-004073-k6ad4qgu 162 36 RA RA NNP cord-004073-k6ad4qgu 162 37 than than IN cord-004073-k6ad4qgu 162 38 in in IN cord-004073-k6ad4qgu 162 39 SB SB NNP cord-004073-k6ad4qgu 162 40 - - HYPH cord-004073-k6ad4qgu 162 41 RA RA NNP cord-004073-k6ad4qgu 162 42 ( ( -LRB- cord-004073-k6ad4qgu 162 43 cf cf NNP cord-004073-k6ad4qgu 162 44 . . NNP cord-004073-k6ad4qgu 162 45 panel panel NN cord-004073-k6ad4qgu 162 46 sets set VBZ cord-004073-k6ad4qgu 162 47 A A NNP cord-004073-k6ad4qgu 162 48 and and CC cord-004073-k6ad4qgu 162 49 B b NN cord-004073-k6ad4qgu 162 50 ) ) -RRB- cord-004073-k6ad4qgu 162 51 ; ; : cord-004073-k6ad4qgu 162 52 the the DT cord-004073-k6ad4qgu 162 53 reverse reverse JJ cord-004073-k6ad4qgu 162 54 tendency tendency NN cord-004073-k6ad4qgu 162 55 was be VBD cord-004073-k6ad4qgu 162 56 found find VBN cord-004073-k6ad4qgu 162 57 at at IN cord-004073-k6ad4qgu 162 58 higher high JJR cord-004073-k6ad4qgu 162 59 costs cost NNS cord-004073-k6ad4qgu 162 60 ( ( -LRB- cord-004073-k6ad4qgu 162 61 C C NNP cord-004073-k6ad4qgu 162 62 r r NN cord-004073-k6ad4qgu 162 63 , , , cord-004073-k6ad4qgu 162 64 C C NNP cord-004073-k6ad4qgu 162 65 T T NNP cord-004073-k6ad4qgu 162 66 ) ) -RRB- cord-004073-k6ad4qgu 162 67 as as RB cord-004073-k6ad4qgu 162 68 analogously analogously RB cord-004073-k6ad4qgu 162 69 reported report VBN cord-004073-k6ad4qgu 162 70 by by IN cord-004073-k6ad4qgu 162 71 Fukuda Fukuda NNP cord-004073-k6ad4qgu 162 72 et et FW cord-004073-k6ad4qgu 162 73 al al NNP cord-004073-k6ad4qgu 162 74 . . . cord-004073-k6ad4qgu 163 1 [ [ -LRB- cord-004073-k6ad4qgu 163 2 2 2 CD cord-004073-k6ad4qgu 163 3 ] ] -RRB- cord-004073-k6ad4qgu 163 4 . . . cord-004073-k6ad4qgu 164 1 When when WRB cord-004073-k6ad4qgu 164 2 the the DT cord-004073-k6ad4qgu 164 3 costs cost NNS cord-004073-k6ad4qgu 164 4 are be VBP cord-004073-k6ad4qgu 164 5 relatively relatively RB cord-004073-k6ad4qgu 164 6 low low JJ cord-004073-k6ad4qgu 164 7 , , , cord-004073-k6ad4qgu 164 8 vaccination vaccination NN cord-004073-k6ad4qgu 164 9 is be VBZ cord-004073-k6ad4qgu 164 10 more more RBR cord-004073-k6ad4qgu 164 11 encouraged encouraged JJ cord-004073-k6ad4qgu 164 12 in in IN cord-004073-k6ad4qgu 164 13 SB SB NNP cord-004073-k6ad4qgu 164 14 - - HYPH cord-004073-k6ad4qgu 164 15 RA RA NNP cord-004073-k6ad4qgu 164 16 than than IN cord-004073-k6ad4qgu 164 17 in in IN cord-004073-k6ad4qgu 164 18 IB IB NNP cord-004073-k6ad4qgu 164 19 - - HYPH cord-004073-k6ad4qgu 164 20 RA RA NNP cord-004073-k6ad4qgu 164 21 , , , cord-004073-k6ad4qgu 164 22 which which WDT cord-004073-k6ad4qgu 164 23 hampers hamper VBZ cord-004073-k6ad4qgu 164 24 the the DT cord-004073-k6ad4qgu 164 25 reduction reduction NN cord-004073-k6ad4qgu 164 26 in in IN cord-004073-k6ad4qgu 164 27 the the DT cord-004073-k6ad4qgu 164 28 infected infected JJ cord-004073-k6ad4qgu 164 29 number number NN cord-004073-k6ad4qgu 164 30 of of IN cord-004073-k6ad4qgu 164 31 individuals individual NNS cord-004073-k6ad4qgu 164 32 in in IN cord-004073-k6ad4qgu 164 33 the the DT cord-004073-k6ad4qgu 164 34 early early JJ cord-004073-k6ad4qgu 164 35 stage stage NN cord-004073-k6ad4qgu 164 36 of of IN cord-004073-k6ad4qgu 164 37 each each DT cord-004073-k6ad4qgu 164 38 season season NN cord-004073-k6ad4qgu 164 39 . . . cord-004073-k6ad4qgu 165 1 Thus thus RB cord-004073-k6ad4qgu 165 2 , , , cord-004073-k6ad4qgu 165 3 based base VBN cord-004073-k6ad4qgu 165 4 on on IN cord-004073-k6ad4qgu 165 5 the the DT cord-004073-k6ad4qgu 165 6 human human JJ cord-004073-k6ad4qgu 165 7 decision decision NN cord-004073-k6ad4qgu 165 8 - - HYPH cord-004073-k6ad4qgu 165 9 making making NN cord-004073-k6ad4qgu 165 10 of of IN cord-004073-k6ad4qgu 165 11 whether whether IN cord-004073-k6ad4qgu 165 12 to to TO cord-004073-k6ad4qgu 165 13 accept accept VB cord-004073-k6ad4qgu 165 14 or or CC cord-004073-k6ad4qgu 165 15 decline decline VB cord-004073-k6ad4qgu 165 16 both both DT cord-004073-k6ad4qgu 165 17 vaccination vaccination NN cord-004073-k6ad4qgu 165 18 and and CC cord-004073-k6ad4qgu 165 19 treatment treatment NN cord-004073-k6ad4qgu 165 20 , , , cord-004073-k6ad4qgu 165 21 the the DT cord-004073-k6ad4qgu 165 22 changing change VBG cord-004073-k6ad4qgu 165 23 propensity propensity NN cord-004073-k6ad4qgu 165 24 of of IN cord-004073-k6ad4qgu 165 25 the the DT cord-004073-k6ad4qgu 165 26 FES FES NNP cord-004073-k6ad4qgu 165 27 can can MD cord-004073-k6ad4qgu 165 28 be be VB cord-004073-k6ad4qgu 165 29 significantly significantly RB cord-004073-k6ad4qgu 165 30 enhanced enhance VBN cord-004073-k6ad4qgu 165 31 by by IN cord-004073-k6ad4qgu 165 32 the the DT cord-004073-k6ad4qgu 165 33 vaccination vaccination NN cord-004073-k6ad4qgu 165 34 effectiveness effectiveness NN cord-004073-k6ad4qgu 165 35 , , , cord-004073-k6ad4qgu 165 36 treatment treatment NN cord-004073-k6ad4qgu 165 37 efficacy efficacy NN cord-004073-k6ad4qgu 165 38 and and CC cord-004073-k6ad4qgu 165 39 their -PRON- PRP$ cord-004073-k6ad4qgu 165 40 corresponding correspond VBG cord-004073-k6ad4qgu 165 41 costs cost NNS cord-004073-k6ad4qgu 165 42 . . . cord-004073-k6ad4qgu 166 1 As as IN cord-004073-k6ad4qgu 166 2 indicated indicate VBN cord-004073-k6ad4qgu 166 3 in in IN cord-004073-k6ad4qgu 166 4 figure figure NN cord-004073-k6ad4qgu 166 5 4 4 CD cord-004073-k6ad4qgu 166 6 , , , cord-004073-k6ad4qgu 166 7 lowering lower VBG cord-004073-k6ad4qgu 166 8 the the DT cord-004073-k6ad4qgu 166 9 vaccination vaccination NN cord-004073-k6ad4qgu 166 10 cost cost NN cord-004073-k6ad4qgu 166 11 and and CC cord-004073-k6ad4qgu 166 12 increasing increase VBG cord-004073-k6ad4qgu 166 13 the the DT cord-004073-k6ad4qgu 166 14 reliability reliability NN cord-004073-k6ad4qgu 166 15 ( ( -LRB- cord-004073-k6ad4qgu 166 16 effectiveness effectiveness NN cord-004073-k6ad4qgu 166 17 ) ) -RRB- cord-004073-k6ad4qgu 166 18 of of IN cord-004073-k6ad4qgu 166 19 the the DT cord-004073-k6ad4qgu 166 20 vaccine vaccine NN cord-004073-k6ad4qgu 166 21 enticed entice VBD cord-004073-k6ad4qgu 166 22 the the DT cord-004073-k6ad4qgu 166 23 individuals individual NNS cord-004073-k6ad4qgu 166 24 to to TO cord-004073-k6ad4qgu 166 25 accept accept VB cord-004073-k6ad4qgu 166 26 more more JJR cord-004073-k6ad4qgu 166 27 vaccines vaccine NNS cord-004073-k6ad4qgu 166 28 . . . cord-004073-k6ad4qgu 167 1 This this DT cord-004073-k6ad4qgu 167 2 tendency tendency NN cord-004073-k6ad4qgu 167 3 was be VBD cord-004073-k6ad4qgu 167 4 more more RBR cord-004073-k6ad4qgu 167 5 marked mark VBN cord-004073-k6ad4qgu 167 6 in in IN cord-004073-k6ad4qgu 167 7 the the DT cord-004073-k6ad4qgu 167 8 SB SB NNP cord-004073-k6ad4qgu 167 9 - - HYPH cord-004073-k6ad4qgu 167 10 RA RA NNP cord-004073-k6ad4qgu 167 11 than than IN cord-004073-k6ad4qgu 167 12 in in IN cord-004073-k6ad4qgu 167 13 the the DT cord-004073-k6ad4qgu 167 14 IB IB NNP cord-004073-k6ad4qgu 167 15 - - HYPH cord-004073-k6ad4qgu 167 16 RA RA NNP cord-004073-k6ad4qgu 167 17 , , , cord-004073-k6ad4qgu 167 18 and and CC cord-004073-k6ad4qgu 167 19 enhanced enhance VBD cord-004073-k6ad4qgu 167 20 the the DT cord-004073-k6ad4qgu 167 21 vaccination vaccination NN cord-004073-k6ad4qgu 167 22 acceptance acceptance NN cord-004073-k6ad4qgu 167 23 when when WRB cord-004073-k6ad4qgu 167 24 the the DT cord-004073-k6ad4qgu 167 25 post post JJ cord-004073-k6ad4qgu 167 26 - - JJ cord-004073-k6ad4qgu 167 27 infection infection JJ cord-004073-k6ad4qgu 167 28 treatment treatment NN cord-004073-k6ad4qgu 167 29 cost cost NN cord-004073-k6ad4qgu 167 30 was be VBD cord-004073-k6ad4qgu 167 31 high high JJ cord-004073-k6ad4qgu 168 1 ( ( -LRB- cord-004073-k6ad4qgu 168 2 C C NNP cord-004073-k6ad4qgu 168 3 T t NN cord-004073-k6ad4qgu 168 4 = = SYM cord-004073-k6ad4qgu 168 5 0.9 0.9 CD cord-004073-k6ad4qgu 168 6 ) ) -RRB- cord-004073-k6ad4qgu 168 7 on on IN cord-004073-k6ad4qgu 168 8 the the DT cord-004073-k6ad4qgu 168 9 local local JJ cord-004073-k6ad4qgu 168 10 time time NN cord-004073-k6ad4qgu 168 11 scale scale NN cord-004073-k6ad4qgu 168 12 . . . cord-004073-k6ad4qgu 169 1 However however RB cord-004073-k6ad4qgu 169 2 , , , cord-004073-k6ad4qgu 169 3 the the DT cord-004073-k6ad4qgu 169 4 portion portion NN cord-004073-k6ad4qgu 169 5 of of IN cord-004073-k6ad4qgu 169 6 individuals individual NNS cord-004073-k6ad4qgu 169 7 making make VBG cord-004073-k6ad4qgu 169 8 treatment treatment NN cord-004073-k6ad4qgu 169 9 provision provision NN cord-004073-k6ad4qgu 169 10 ( ( -LRB- cord-004073-k6ad4qgu 169 11 FTR FTR NNP cord-004073-k6ad4qgu 169 12 ) ) -RRB- cord-004073-k6ad4qgu 169 13 diminished diminish VBD cord-004073-k6ad4qgu 169 14 at at IN cord-004073-k6ad4qgu 169 15 higher high JJR cord-004073-k6ad4qgu 169 16 treatment treatment NN cord-004073-k6ad4qgu 169 17 costs cost NNS cord-004073-k6ad4qgu 169 18 ( ( -LRB- cord-004073-k6ad4qgu 169 19 C c NN cord-004073-k6ad4qgu 169 20 T t NN cord-004073-k6ad4qgu 169 21 = = SYM cord-004073-k6ad4qgu 169 22 0.9 0.9 CD cord-004073-k6ad4qgu 169 23 ) ) -RRB- cord-004073-k6ad4qgu 169 24 in in IN cord-004073-k6ad4qgu 169 25 both both DT cord-004073-k6ad4qgu 169 26 schemes scheme NNS cord-004073-k6ad4qgu 169 27 ( ( -LRB- cord-004073-k6ad4qgu 169 28 panels panel NNS cord-004073-k6ad4qgu 169 29 ( ( -LRB- cord-004073-k6ad4qgu 169 30 * * NFP cord-004073-k6ad4qgu 169 31 -iii -iii NFP cord-004073-k6ad4qgu 169 32 ) ) -RRB- cord-004073-k6ad4qgu 169 33 in in IN cord-004073-k6ad4qgu 169 34 figure figure NN cord-004073-k6ad4qgu 169 35 5 5 CD cord-004073-k6ad4qgu 169 36 ) ) -RRB- cord-004073-k6ad4qgu 169 37 . . . cord-004073-k6ad4qgu 170 1 A a DT cord-004073-k6ad4qgu 170 2 small small JJ cord-004073-k6ad4qgu 170 3 treatment treatment NN cord-004073-k6ad4qgu 170 4 cost cost NN cord-004073-k6ad4qgu 170 5 attracts attract VBZ cord-004073-k6ad4qgu 170 6 individuals individual NNS cord-004073-k6ad4qgu 170 7 to to IN cord-004073-k6ad4qgu 170 8 the the DT cord-004073-k6ad4qgu 170 9 treatment treatment NN cord-004073-k6ad4qgu 170 10 provision provision NN cord-004073-k6ad4qgu 170 11 , , , cord-004073-k6ad4qgu 170 12 whereas whereas IN cord-004073-k6ad4qgu 170 13 a a DT cord-004073-k6ad4qgu 170 14 higher high JJR cord-004073-k6ad4qgu 170 15 cost cost NN cord-004073-k6ad4qgu 170 16 hampers hamper NNS cord-004073-k6ad4qgu 170 17 the the DT cord-004073-k6ad4qgu 170 18 treatment treatment NN cord-004073-k6ad4qgu 170 19 - - HYPH cord-004073-k6ad4qgu 170 20 seeking seek VBG cord-004073-k6ad4qgu 170 21 behaviour behaviour NN cord-004073-k6ad4qgu 170 22 ( ( -LRB- cord-004073-k6ad4qgu 170 23 lowers lower VBZ cord-004073-k6ad4qgu 170 24 the the DT cord-004073-k6ad4qgu 170 25 FTR FTR NNP cord-004073-k6ad4qgu 170 26 ) ) -RRB- cord-004073-k6ad4qgu 170 27 . . . cord-004073-k6ad4qgu 171 1 Therefore therefore RB cord-004073-k6ad4qgu 171 2 , , , cord-004073-k6ad4qgu 171 3 either either CC cord-004073-k6ad4qgu 171 4 lowering lower VBG cord-004073-k6ad4qgu 171 5 the the DT cord-004073-k6ad4qgu 171 6 vaccination vaccination NN cord-004073-k6ad4qgu 171 7 cost cost NN cord-004073-k6ad4qgu 171 8 or or CC cord-004073-k6ad4qgu 171 9 improving improve VBG cord-004073-k6ad4qgu 171 10 the the DT cord-004073-k6ad4qgu 171 11 vaccination vaccination NN cord-004073-k6ad4qgu 171 12 effectiveness effectiveness NN cord-004073-k6ad4qgu 171 13 _SP cord-004073-k6ad4qgu 172 1 To to TO cord-004073-k6ad4qgu 172 2 explore explore VB cord-004073-k6ad4qgu 172 3 the the DT cord-004073-k6ad4qgu 172 4 dual dual JJ cord-004073-k6ad4qgu 172 5 - - HYPH cord-004073-k6ad4qgu 172 6 dilemma dilemma NN cord-004073-k6ad4qgu 172 7 structure structure NN cord-004073-k6ad4qgu 172 8 on on IN cord-004073-k6ad4qgu 172 9 an an DT cord-004073-k6ad4qgu 172 10 epidemiological epidemiological JJ cord-004073-k6ad4qgu 172 11 model model NN cord-004073-k6ad4qgu 172 12 , , , cord-004073-k6ad4qgu 172 13 we -PRON- PRP cord-004073-k6ad4qgu 172 14 considered consider VBD cord-004073-k6ad4qgu 172 15 the the DT cord-004073-k6ad4qgu 172 16 joint joint JJ cord-004073-k6ad4qgu 172 17 impact impact NN cord-004073-k6ad4qgu 172 18 of of IN cord-004073-k6ad4qgu 172 19 vaccination vaccination NN cord-004073-k6ad4qgu 172 20 and and CC cord-004073-k6ad4qgu 172 21 treatment treatment NN cord-004073-k6ad4qgu 172 22 games game NNS cord-004073-k6ad4qgu 172 23 in in IN cord-004073-k6ad4qgu 172 24 the the DT cord-004073-k6ad4qgu 172 25 same same JJ cord-004073-k6ad4qgu 172 26 context context NN cord-004073-k6ad4qgu 172 27 . . . cord-004073-k6ad4qgu 173 1 A a DT cord-004073-k6ad4qgu 173 2 typical typical JJ cord-004073-k6ad4qgu 173 3 scenario scenario NN cord-004073-k6ad4qgu 173 4 is be VBZ cord-004073-k6ad4qgu 173 5 demonstrated demonstrate VBN cord-004073-k6ad4qgu 173 6 in in IN cord-004073-k6ad4qgu 173 7 figure figure NN cord-004073-k6ad4qgu 173 8 7 7 CD cord-004073-k6ad4qgu 173 9 . . . cord-004073-k6ad4qgu 174 1 Our -PRON- PRP$ cord-004073-k6ad4qgu 174 2 idea idea NN cord-004073-k6ad4qgu 174 3 was be VBD cord-004073-k6ad4qgu 174 4 motivated motivate VBN cord-004073-k6ad4qgu 174 5 by by IN cord-004073-k6ad4qgu 174 6 the the DT cord-004073-k6ad4qgu 174 7 endorsement endorsement NN cord-004073-k6ad4qgu 174 8 of of IN cord-004073-k6ad4qgu 174 9 social social JJ cord-004073-k6ad4qgu 174 10 dilemma dilemma NN cord-004073-k6ad4qgu 174 11 situations situation NNS cord-004073-k6ad4qgu 174 12 in in IN cord-004073-k6ad4qgu 174 13 the the DT cord-004073-k6ad4qgu 174 14 strategies strategy NNS cord-004073-k6ad4qgu 174 15 of of IN cord-004073-k6ad4qgu 174 16 evolutionary evolutionary JJ cord-004073-k6ad4qgu 174 17 game game NN cord-004073-k6ad4qgu 174 18 theory theory NN cord-004073-k6ad4qgu 174 19 , , , cord-004073-k6ad4qgu 174 20 in in IN cord-004073-k6ad4qgu 174 21 which which WDT cord-004073-k6ad4qgu 174 22 the the DT cord-004073-k6ad4qgu 174 23 players player NNS cord-004073-k6ad4qgu 174 24 are be VBP cord-004073-k6ad4qgu 174 25 all all DT cord-004073-k6ad4qgu 174 26 individuals individual NNS cord-004073-k6ad4qgu 174 27 in in IN cord-004073-k6ad4qgu 174 28 a a DT cord-004073-k6ad4qgu 174 29 well well RB cord-004073-k6ad4qgu 174 30 - - HYPH cord-004073-k6ad4qgu 174 31 mixed mix VBN cord-004073-k6ad4qgu 174 32 population population NN cord-004073-k6ad4qgu 174 33 . . . cord-004073-k6ad4qgu 175 1 In in IN cord-004073-k6ad4qgu 175 2 a a DT cord-004073-k6ad4qgu 175 3 coevolutionary coevolutionary JJ cord-004073-k6ad4qgu 175 4 adaptation adaptation NN cord-004073-k6ad4qgu 175 5 process process NN cord-004073-k6ad4qgu 175 6 , , , cord-004073-k6ad4qgu 175 7 it -PRON- PRP cord-004073-k6ad4qgu 175 8 is be VBZ cord-004073-k6ad4qgu 175 9 important important JJ cord-004073-k6ad4qgu 175 10 to to TO cord-004073-k6ad4qgu 175 11 know know VB cord-004073-k6ad4qgu 175 12 whether whether IN cord-004073-k6ad4qgu 175 13 the the DT cord-004073-k6ad4qgu 175 14 social social JJ cord-004073-k6ad4qgu 175 15 dual dual JJ cord-004073-k6ad4qgu 175 16 - - HYPH cord-004073-k6ad4qgu 175 17 dilemma dilemma NN cord-004073-k6ad4qgu 175 18 exists exist VBZ cord-004073-k6ad4qgu 175 19 under under IN cord-004073-k6ad4qgu 175 20 certain certain JJ cord-004073-k6ad4qgu 175 21 combinations combination NNS cord-004073-k6ad4qgu 175 22 of of IN cord-004073-k6ad4qgu 175 23 the the DT cord-004073-k6ad4qgu 175 24 model model NN cord-004073-k6ad4qgu 175 25 parameters parameter NNS cord-004073-k6ad4qgu 175 26 , , , cord-004073-k6ad4qgu 175 27 such such JJ cord-004073-k6ad4qgu 175 28 as as IN cord-004073-k6ad4qgu 175 29 the the DT cord-004073-k6ad4qgu 175 30 vaccination vaccination NN cord-004073-k6ad4qgu 175 31 effectiveness effectiveness NN cord-004073-k6ad4qgu 175 32 , , , cord-004073-k6ad4qgu 175 33 treatment treatment NN cord-004073-k6ad4qgu 175 34 efficiency efficiency NN cord-004073-k6ad4qgu 175 35 and and CC cord-004073-k6ad4qgu 175 36 their -PRON- PRP$ cord-004073-k6ad4qgu 175 37 associated associate VBN cord-004073-k6ad4qgu 175 38 costs cost NNS cord-004073-k6ad4qgu 175 39 . . . cord-004073-k6ad4qgu 176 1 Unlike unlike IN cord-004073-k6ad4qgu 176 2 simple simple JJ cord-004073-k6ad4qgu 176 3 2 2 CD cord-004073-k6ad4qgu 176 4 by by IN cord-004073-k6ad4qgu 176 5 2 2 CD cord-004073-k6ad4qgu 176 6 games game NNS cord-004073-k6ad4qgu 176 7 in in IN cord-004073-k6ad4qgu 176 8 which which WDT cord-004073-k6ad4qgu 176 9 the the DT cord-004073-k6ad4qgu 176 10 so so RB cord-004073-k6ad4qgu 176 11 - - HYPH cord-004073-k6ad4qgu 176 12 called call VBN cord-004073-k6ad4qgu 176 13 dilemma dilemma NN cord-004073-k6ad4qgu 176 14 strength strength NN cord-004073-k6ad4qgu 176 15 ( ( -LRB- cord-004073-k6ad4qgu 176 16 DS DS NNP cord-004073-k6ad4qgu 176 17 ) ) -RRB- cord-004073-k6ad4qgu 176 18 can can MD cord-004073-k6ad4qgu 176 19 be be VB cord-004073-k6ad4qgu 176 20 explicitly explicitly RB cord-004073-k6ad4qgu 176 21 defined define VBN cord-004073-k6ad4qgu 176 22 [ [ -LRB- cord-004073-k6ad4qgu 176 23 1 1 CD cord-004073-k6ad4qgu 176 24 ] ] -RRB- cord-004073-k6ad4qgu 176 25 , , , cord-004073-k6ad4qgu 176 26 a a DT cord-004073-k6ad4qgu 176 27 real real JJ cord-004073-k6ad4qgu 176 28 social social JJ cord-004073-k6ad4qgu 176 29 dilemma dilemma NN cord-004073-k6ad4qgu 176 30 typically typically RB cord-004073-k6ad4qgu 176 31 observed observe VBD cord-004073-k6ad4qgu 176 32 in in IN cord-004073-k6ad4qgu 176 33 the the DT cord-004073-k6ad4qgu 176 34 vaccination vaccination NN cord-004073-k6ad4qgu 176 35 game game NN cord-004073-k6ad4qgu 176 36 [ [ -LRB- cord-004073-k6ad4qgu 176 37 2 2 CD cord-004073-k6ad4qgu 176 38 , , , cord-004073-k6ad4qgu 176 39 [ [ -LRB- cord-004073-k6ad4qgu 176 40 5 5 CD cord-004073-k6ad4qgu 176 41 ] ] -RRB- cord-004073-k6ad4qgu 176 42 [ [ -LRB- cord-004073-k6ad4qgu 176 43 6 6 CD cord-004073-k6ad4qgu 176 44 ] ] -RRB- cord-004073-k6ad4qgu 176 45 [ [ -LRB- cord-004073-k6ad4qgu 176 46 7 7 CD cord-004073-k6ad4qgu 176 47 ] ] -RRB- cord-004073-k6ad4qgu 176 48 [ [ -LRB- cord-004073-k6ad4qgu 176 49 36 36 CD cord-004073-k6ad4qgu 176 50 ] ] -RRB- cord-004073-k6ad4qgu 176 51 [ [ -LRB- cord-004073-k6ad4qgu 176 52 37 37 CD cord-004073-k6ad4qgu 176 53 ] ] -RRB- cord-004073-k6ad4qgu 176 54 [ [ -LRB- cord-004073-k6ad4qgu 176 55 38 38 CD cord-004073-k6ad4qgu 176 56 ] ] -RRB- cord-004073-k6ad4qgu 176 57 [ [ -LRB- cord-004073-k6ad4qgu 176 58 39 39 CD cord-004073-k6ad4qgu 176 59 ] ] -RRB- cord-004073-k6ad4qgu 176 60 [ [ -LRB- cord-004073-k6ad4qgu 176 61 40 40 CD cord-004073-k6ad4qgu 176 62 ] ] -RRB- cord-004073-k6ad4qgu 176 63 [ [ -LRB- cord-004073-k6ad4qgu 176 64 41 41 CD cord-004073-k6ad4qgu 176 65 ] ] -RRB- cord-004073-k6ad4qgu 176 66 [ [ -LRB- cord-004073-k6ad4qgu 176 67 42 42 CD cord-004073-k6ad4qgu 176 68 ] ] -RRB- cord-004073-k6ad4qgu 176 69 [ [ -LRB- cord-004073-k6ad4qgu 176 70 43 43 CD cord-004073-k6ad4qgu 176 71 ] ] -RRB- cord-004073-k6ad4qgu 176 72 [ [ -LRB- cord-004073-k6ad4qgu 176 73 44 44 CD cord-004073-k6ad4qgu 176 74 ] ] -RRB- cord-004073-k6ad4qgu 176 75 , , , cord-004073-k6ad4qgu 176 76 traffic traffic NN cord-004073-k6ad4qgu 176 77 flow flow NN cord-004073-k6ad4qgu 176 78 [ [ -LRB- cord-004073-k6ad4qgu 176 79 46 46 CD cord-004073-k6ad4qgu 176 80 ] ] -RRB- cord-004073-k6ad4qgu 176 81 [ [ -LRB- cord-004073-k6ad4qgu 176 82 47 47 CD cord-004073-k6ad4qgu 176 83 ] ] -RRB- cord-004073-k6ad4qgu 176 84 [ [ -LRB- cord-004073-k6ad4qgu 176 85 48 48 CD cord-004073-k6ad4qgu 176 86 ] ] -RRB- cord-004073-k6ad4qgu 176 87 [ [ -LRB- cord-004073-k6ad4qgu 176 88 49 49 CD cord-004073-k6ad4qgu 176 89 ] ] -RRB- cord-004073-k6ad4qgu 176 90 [ [ -LRB- cord-004073-k6ad4qgu 176 91 50 50 CD cord-004073-k6ad4qgu 176 92 ] ] -RRB- cord-004073-k6ad4qgu 176 93 [ [ -LRB- cord-004073-k6ad4qgu 176 94 51 51 CD cord-004073-k6ad4qgu 176 95 ] ] -RRB- cord-004073-k6ad4qgu 176 96 [ [ -LRB- cord-004073-k6ad4qgu 176 97 52 52 CD cord-004073-k6ad4qgu 176 98 ] ] -RRB- cord-004073-k6ad4qgu 176 99 and and CC cord-004073-k6ad4qgu 176 100 others other NNS cord-004073-k6ad4qgu 176 101 may may MD cord-004073-k6ad4qgu 176 102 have have VB cord-004073-k6ad4qgu 176 103 a a DT cord-004073-k6ad4qgu 176 104 time time NN cord-004073-k6ad4qgu 176 105 - - HYPH cord-004073-k6ad4qgu 176 106 variable variable NN cord-004073-k6ad4qgu 176 107 game game NN cord-004073-k6ad4qgu 176 108 structure structure NN cord-004073-k6ad4qgu 176 109 . . . cord-004073-k6ad4qgu 177 1 In in IN cord-004073-k6ad4qgu 177 2 the the DT cord-004073-k6ad4qgu 177 3 vaccination vaccination NN cord-004073-k6ad4qgu 177 4 and and CC cord-004073-k6ad4qgu 177 5 traffic traffic NN cord-004073-k6ad4qgu 177 6 games game NNS cord-004073-k6ad4qgu 177 7 , , , cord-004073-k6ad4qgu 177 8 this this DT cord-004073-k6ad4qgu 177 9 structure structure NN cord-004073-k6ad4qgu 177 10 is be VBZ cord-004073-k6ad4qgu 177 11 mainly mainly RB cord-004073-k6ad4qgu 177 12 influenced influence VBN cord-004073-k6ad4qgu 177 13 by by IN cord-004073-k6ad4qgu 177 14 the the DT cord-004073-k6ad4qgu 177 15 disease disease NN cord-004073-k6ad4qgu 177 16 - - HYPH cord-004073-k6ad4qgu 177 17 spreading spreading NN cord-004073-k6ad4qgu 177 18 and and CC cord-004073-k6ad4qgu 177 19 traffic traffic NN cord-004073-k6ad4qgu 177 20 flow flow NN cord-004073-k6ad4qgu 177 21 dynamics dynamic NNS cord-004073-k6ad4qgu 177 22 , , , cord-004073-k6ad4qgu 177 23 respectively respectively RB cord-004073-k6ad4qgu 177 24 . . . cord-004073-k6ad4qgu 178 1 The the DT cord-004073-k6ad4qgu 178 2 timevariable timevariable JJ cord-004073-k6ad4qgu 178 3 game game NN cord-004073-k6ad4qgu 178 4 structure structure NN cord-004073-k6ad4qgu 178 5 is be VBZ cord-004073-k6ad4qgu 178 6 too too RB cord-004073-k6ad4qgu 178 7 complex complex JJ cord-004073-k6ad4qgu 178 8 to to TO cord-004073-k6ad4qgu 178 9 represent represent VB cord-004073-k6ad4qgu 178 10 by by IN cord-004073-k6ad4qgu 178 11 the the DT cord-004073-k6ad4qgu 178 12 payoff payoff NN cord-004073-k6ad4qgu 178 13 matrix matrix NN cord-004073-k6ad4qgu 178 14 in in IN cord-004073-k6ad4qgu 178 15 a a DT cord-004073-k6ad4qgu 178 16 2 2 CD cord-004073-k6ad4qgu 178 17 × × NN cord-004073-k6ad4qgu 178 18 2 2 CD cord-004073-k6ad4qgu 178 19 game game NN cord-004073-k6ad4qgu 178 20 or or CC cord-004073-k6ad4qgu 178 21 the the DT cord-004073-k6ad4qgu 178 22 time time NN cord-004073-k6ad4qgu 178 23 - - HYPH cord-004073-k6ad4qgu 178 24 constant constant JJ cord-004073-k6ad4qgu 178 25 payoff payoff NN cord-004073-k6ad4qgu 178 26 structure structure NN cord-004073-k6ad4qgu 178 27 function function NN cord-004073-k6ad4qgu 178 28 in in IN cord-004073-k6ad4qgu 178 29 the the DT cord-004073-k6ad4qgu 178 30 2-strategy 2-strategy CD cord-004073-k6ad4qgu 178 31 and and CC cord-004073-k6ad4qgu 178 32 n n NN cord-004073-k6ad4qgu 178 33 - - HYPH cord-004073-k6ad4qgu 178 34 player player NN cord-004073-k6ad4qgu 178 35 game game NN cord-004073-k6ad4qgu 178 36 . . . cord-004073-k6ad4qgu 179 1 Thus thus RB cord-004073-k6ad4qgu 179 2 , , , cord-004073-k6ad4qgu 179 3 the the DT cord-004073-k6ad4qgu 179 4 DS DS NNP cord-004073-k6ad4qgu 179 5 is be VBZ cord-004073-k6ad4qgu 179 6 difficult difficult JJ cord-004073-k6ad4qgu 179 7 to to TO cord-004073-k6ad4qgu 179 8 determine determine VB cord-004073-k6ad4qgu 179 9 in in IN cord-004073-k6ad4qgu 179 10 advance advance NN cord-004073-k6ad4qgu 179 11 even even RB cord-004073-k6ad4qgu 179 12 when when WRB cord-004073-k6ad4qgu 179 13 the the DT cord-004073-k6ad4qgu 179 14 mathematical mathematical JJ cord-004073-k6ad4qgu 179 15 model model NN cord-004073-k6ad4qgu 179 16 is be VBZ cord-004073-k6ad4qgu 179 17 well well RB cord-004073-k6ad4qgu 179 18 defined define VBN cord-004073-k6ad4qgu 179 19 . . . cord-004073-k6ad4qgu 180 1 Our -PRON- PRP$ cord-004073-k6ad4qgu 180 2 new new JJ cord-004073-k6ad4qgu 180 3 SED sed NN cord-004073-k6ad4qgu 180 4 concept concept NN cord-004073-k6ad4qgu 180 5 ( ( -LRB- cord-004073-k6ad4qgu 180 6 defined define VBN cord-004073-k6ad4qgu 180 7 above above RB cord-004073-k6ad4qgu 180 8 and and CC cord-004073-k6ad4qgu 180 9 mathematically mathematically RB cord-004073-k6ad4qgu 180 10 formulated formulate VBN cord-004073-k6ad4qgu 180 11 blow blow NN cord-004073-k6ad4qgu 180 12 ) ) -RRB- cord-004073-k6ad4qgu 180 13 was be VBD cord-004073-k6ad4qgu 180 14 inspired inspire VBN cord-004073-k6ad4qgu 180 15 by by IN cord-004073-k6ad4qgu 180 16 the the DT cord-004073-k6ad4qgu 180 17 seminal seminal JJ cord-004073-k6ad4qgu 180 18 idea idea NN cord-004073-k6ad4qgu 180 19 of of IN cord-004073-k6ad4qgu 180 20 traffic traffic NN cord-004073-k6ad4qgu 180 21 flow flow NN cord-004073-k6ad4qgu 180 22 analysis analysis NN cord-004073-k6ad4qgu 181 1 ( ( -LRB- cord-004073-k6ad4qgu 181 2 e.g. e.g. NN cord-004073-k6ad4qgu 181 3 [ [ -LRB- cord-004073-k6ad4qgu 181 4 56 56 CD cord-004073-k6ad4qgu 181 5 ] ] -RRB- cord-004073-k6ad4qgu 181 6 [ [ -LRB- cord-004073-k6ad4qgu 181 7 57 57 CD cord-004073-k6ad4qgu 181 8 ] ] -RRB- cord-004073-k6ad4qgu 181 9 [ [ -LRB- cord-004073-k6ad4qgu 181 10 58 58 CD cord-004073-k6ad4qgu 181 11 ] ] -RRB- cord-004073-k6ad4qgu 182 1 [ [ -LRB- cord-004073-k6ad4qgu 182 2 59 59 CD cord-004073-k6ad4qgu 182 3 ] ] -RRB- cord-004073-k6ad4qgu 182 4 [ [ -LRB- cord-004073-k6ad4qgu 182 5 60 60 CD cord-004073-k6ad4qgu 182 6 ] ] -RRB- cord-004073-k6ad4qgu 182 7 [ [ -LRB- cord-004073-k6ad4qgu 182 8 61 61 CD cord-004073-k6ad4qgu 182 9 ] ] -RRB- cord-004073-k6ad4qgu 182 10 [ [ -LRB- cord-004073-k6ad4qgu 182 11 62 62 CD cord-004073-k6ad4qgu 182 12 ] ] -RRB- cord-004073-k6ad4qgu 182 13 ) ) -RRB- cord-004073-k6ad4qgu 182 14 . . . cord-004073-k6ad4qgu 183 1 The the DT cord-004073-k6ad4qgu 183 2 DS DS NNP cord-004073-k6ad4qgu 183 3 indicates indicate VBZ cord-004073-k6ad4qgu 183 4 the the DT cord-004073-k6ad4qgu 183 5 existence existence NN cord-004073-k6ad4qgu 183 6 or or CC cord-004073-k6ad4qgu 183 7 absence absence NN cord-004073-k6ad4qgu 183 8 of of IN cord-004073-k6ad4qgu 183 9 a a DT cord-004073-k6ad4qgu 183 10 social social JJ cord-004073-k6ad4qgu 183 11 dilemma dilemma NN cord-004073-k6ad4qgu 183 12 ( ( -LRB- cord-004073-k6ad4qgu 183 13 behaving behave VBG cord-004073-k6ad4qgu 183 14 as as IN cord-004073-k6ad4qgu 183 15 a a DT cord-004073-k6ad4qgu 183 16 prognostic prognostic JJ cord-004073-k6ad4qgu 183 17 index index NN cord-004073-k6ad4qgu 183 18 ) ) -RRB- cord-004073-k6ad4qgu 183 19 , , , cord-004073-k6ad4qgu 183 20 whereas whereas IN cord-004073-k6ad4qgu 183 21 the the DT cord-004073-k6ad4qgu 183 22 SED SED NNP cord-004073-k6ad4qgu 183 23 provides provide VBZ cord-004073-k6ad4qgu 183 24 an an DT cord-004073-k6ad4qgu 183 25 ' ' `` cord-004073-k6ad4qgu 183 26 ex ex FW cord-004073-k6ad4qgu 183 27 post post NN cord-004073-k6ad4qgu 183 28 ' ' '' cord-004073-k6ad4qgu 183 29 or or CC cord-004073-k6ad4qgu 183 30 diagnostic diagnostic JJ cord-004073-k6ad4qgu 183 31 index index NN cord-004073-k6ad4qgu 183 32 . . . cord-004073-k6ad4qgu 184 1 Here here RB cord-004073-k6ad4qgu 184 2 , , , cord-004073-k6ad4qgu 184 3 let let VB cord-004073-k6ad4qgu 184 4 us -PRON- PRP cord-004073-k6ad4qgu 184 5 define define VB cord-004073-k6ad4qgu 184 6 SED SED NNP cord-004073-k6ad4qgu 184 7 as as IN cord-004073-k6ad4qgu 184 8 the the DT cord-004073-k6ad4qgu 184 9 gap gap NN cord-004073-k6ad4qgu 184 10 between between IN cord-004073-k6ad4qgu 184 11 the the DT cord-004073-k6ad4qgu 184 12 result result NN cord-004073-k6ad4qgu 184 13 of of IN cord-004073-k6ad4qgu 184 14 the the DT cord-004073-k6ad4qgu 184 15 evolutionary evolutionary JJ cord-004073-k6ad4qgu 184 16 trail trail NN cord-004073-k6ad4qgu 184 17 ( ( -LRB- cord-004073-k6ad4qgu 184 18 which which WDT cord-004073-k6ad4qgu 184 19 can can MD cord-004073-k6ad4qgu 184 20 be be VB cord-004073-k6ad4qgu 184 21 evaluated evaluate VBN cord-004073-k6ad4qgu 184 22 by by IN cord-004073-k6ad4qgu 184 23 the the DT cord-004073-k6ad4qgu 184 24 Nash Nash NNP cord-004073-k6ad4qgu 184 25 equilibrium equilibrium NN cord-004073-k6ad4qgu 184 26 ( ( -LRB- cord-004073-k6ad4qgu 184 27 NE NE NNP cord-004073-k6ad4qgu 184 28 ) ) -RRB- cord-004073-k6ad4qgu 184 29 ) ) -RRB- cord-004073-k6ad4qgu 184 30 and and CC cord-004073-k6ad4qgu 184 31 the the DT cord-004073-k6ad4qgu 184 32 optimum optimum JJ cord-004073-k6ad4qgu 184 33 solution solution NN cord-004073-k6ad4qgu 184 34 ( ( -LRB- cord-004073-k6ad4qgu 184 35 ideal ideal JJ cord-004073-k6ad4qgu 184 36 result result NN cord-004073-k6ad4qgu 184 37 from from IN cord-004073-k6ad4qgu 184 38 a a DT cord-004073-k6ad4qgu 184 39 social social JJ cord-004073-k6ad4qgu 184 40 - - HYPH cord-004073-k6ad4qgu 184 41 welfare welfare NN cord-004073-k6ad4qgu 184 42 standpoint standpoint NN cord-004073-k6ad4qgu 184 43 [ [ -LRB- cord-004073-k6ad4qgu 184 44 63 63 CD cord-004073-k6ad4qgu 184 45 ] ] -RRB- cord-004073-k6ad4qgu 184 46 ) ) -RRB- cord-004073-k6ad4qgu 184 47 . . . cord-004073-k6ad4qgu 185 1 The the DT cord-004073-k6ad4qgu 185 2 payoff payoff NN cord-004073-k6ad4qgu 185 3 at at IN cord-004073-k6ad4qgu 185 4 the the DT cord-004073-k6ad4qgu 185 5 NE NE NNP cord-004073-k6ad4qgu 185 6 can can MD cord-004073-k6ad4qgu 185 7 always always RB cord-004073-k6ad4qgu 185 8 be be VB cord-004073-k6ad4qgu 185 9 observed observe VBN cord-004073-k6ad4qgu 185 10 by by IN cord-004073-k6ad4qgu 185 11 taking take VBG cord-004073-k6ad4qgu 185 12 an an DT cord-004073-k6ad4qgu 185 13 evolutionary evolutionary JJ cord-004073-k6ad4qgu 185 14 game game NN cord-004073-k6ad4qgu 185 15 approach approach NN cord-004073-k6ad4qgu 185 16 , , , cord-004073-k6ad4qgu 185 17 whereas whereas IN cord-004073-k6ad4qgu 185 18 the the DT cord-004073-k6ad4qgu 185 19 optimal optimal JJ cord-004073-k6ad4qgu 185 20 social social JJ cord-004073-k6ad4qgu 185 21 payoff payoff NN cord-004073-k6ad4qgu 185 22 is be VBZ cord-004073-k6ad4qgu 185 23 observable observable JJ cord-004073-k6ad4qgu 185 24 in in IN cord-004073-k6ad4qgu 185 25 a a DT cord-004073-k6ad4qgu 185 26 model model NN cord-004073-k6ad4qgu 185 27 of of IN cord-004073-k6ad4qgu 185 28 any any DT cord-004073-k6ad4qgu 185 29 complexity complexity NN cord-004073-k6ad4qgu 185 30 . . . cord-004073-k6ad4qgu 186 1 Therefore therefore RB cord-004073-k6ad4qgu 186 2 , , , cord-004073-k6ad4qgu 186 3 one one PRP cord-004073-k6ad4qgu 186 4 can can MD cord-004073-k6ad4qgu 186 5 evaluate evaluate VB cord-004073-k6ad4qgu 186 6 the the DT cord-004073-k6ad4qgu 186 7 SED sed NN cord-004073-k6ad4qgu 186 8 in in IN cord-004073-k6ad4qgu 186 9 any any DT cord-004073-k6ad4qgu 186 10 context context NN cord-004073-k6ad4qgu 186 11 , , , cord-004073-k6ad4qgu 186 12 and and CC cord-004073-k6ad4qgu 186 13 hence hence RB cord-004073-k6ad4qgu 186 14 predict predict VBP cord-004073-k6ad4qgu 186 15 the the DT cord-004073-k6ad4qgu 186 16 occurrence occurrence NN cord-004073-k6ad4qgu 186 17 of of IN cord-004073-k6ad4qgu 186 18 a a DT cord-004073-k6ad4qgu 186 19 social social JJ cord-004073-k6ad4qgu 186 20 dilemma dilemma NN cord-004073-k6ad4qgu 186 21 ( ( -LRB- cord-004073-k6ad4qgu 186 22 if if IN cord-004073-k6ad4qgu 186 23 the the DT cord-004073-k6ad4qgu 186 24 SED SED NNP cord-004073-k6ad4qgu 186 25 is be VBZ cord-004073-k6ad4qgu 186 26 positive positive JJ cord-004073-k6ad4qgu 186 27 , , , cord-004073-k6ad4qgu 186 28 the the DT cord-004073-k6ad4qgu 186 29 gap gap NN cord-004073-k6ad4qgu 186 30 exists exist VBZ cord-004073-k6ad4qgu 186 31 ; ; : cord-004073-k6ad4qgu 186 32 if if IN cord-004073-k6ad4qgu 186 33 it -PRON- PRP cord-004073-k6ad4qgu 186 34 is be VBZ cord-004073-k6ad4qgu 186 35 zero zero CD cord-004073-k6ad4qgu 186 36 , , , cord-004073-k6ad4qgu 186 37 the the DT cord-004073-k6ad4qgu 186 38 evolutionary evolutionary JJ cord-004073-k6ad4qgu 186 39 trail trail NN cord-004073-k6ad4qgu 186 40 matches match VBZ cord-004073-k6ad4qgu 186 41 the the DT cord-004073-k6ad4qgu 186 42 optimum optimum NN cord-004073-k6ad4qgu 186 43 ) ) -RRB- cord-004073-k6ad4qgu 186 44 . . . cord-004073-k6ad4qgu 187 1 Thus thus RB cord-004073-k6ad4qgu 187 2 , , , cord-004073-k6ad4qgu 187 3 the the DT cord-004073-k6ad4qgu 187 4 SED SED NNP cord-004073-k6ad4qgu 187 5 indicates indicate VBZ cord-004073-k6ad4qgu 187 6 that that IN cord-004073-k6ad4qgu 187 7 the the DT cord-004073-k6ad4qgu 187 8 payoff payoff NN cord-004073-k6ad4qgu 187 9 can can MD cord-004073-k6ad4qgu 187 10 be be VB cord-004073-k6ad4qgu 187 11 improved improve VBN cord-004073-k6ad4qgu 187 12 from from IN cord-004073-k6ad4qgu 187 13 that that DT cord-004073-k6ad4qgu 187 14 at at IN cord-004073-k6ad4qgu 187 15 the the DT cord-004073-k6ad4qgu 187 16 NE NE NNP cord-004073-k6ad4qgu 187 17 . . . cord-004073-k6ad4qgu 188 1 Mathematically mathematically RB cord-004073-k6ad4qgu 188 2 , , , cord-004073-k6ad4qgu 188 3 the the DT cord-004073-k6ad4qgu 188 4 SED SED NNP cord-004073-k6ad4qgu 188 5 is be VBZ cord-004073-k6ad4qgu 188 6 given give VBN cord-004073-k6ad4qgu 188 7 by by IN cord-004073-k6ad4qgu 188 8 SED sed NN cord-004073-k6ad4qgu 188 9 = = NFP cord-004073-k6ad4qgu 189 1 ( ( -LRB- cord-004073-k6ad4qgu 189 2 social social JJ cord-004073-k6ad4qgu 189 3 optimal optimal JJ cord-004073-k6ad4qgu 189 4 payoff payoff NN cord-004073-k6ad4qgu 189 5 ) ) -RRB- cord-004073-k6ad4qgu 189 6 − − NN cord-004073-k6ad4qgu 190 1 ( ( -LRB- cord-004073-k6ad4qgu 190 2 payoff payoff NN cord-004073-k6ad4qgu 190 3 at at IN cord-004073-k6ad4qgu 190 4 Nash Nash NNP cord-004073-k6ad4qgu 190 5 equilibrium equilibrium NN cord-004073-k6ad4qgu 190 6 ) ) -RRB- cord-004073-k6ad4qgu 191 1 ( ( -LRB- cord-004073-k6ad4qgu 191 2 Again again RB cord-004073-k6ad4qgu 191 3 , , , cord-004073-k6ad4qgu 191 4 let let VB cord-004073-k6ad4qgu 191 5 us -PRON- PRP cord-004073-k6ad4qgu 191 6 reiterate reiterate VB cord-004073-k6ad4qgu 191 7 that that IN cord-004073-k6ad4qgu 191 8 SED sed NN cord-004073-k6ad4qgu 191 9 = = SYM cord-004073-k6ad4qgu 191 10 0 0 NFP cord-004073-k6ad4qgu 191 11 implies imply VBZ cord-004073-k6ad4qgu 191 12 no no DT cord-004073-k6ad4qgu 191 13 social social JJ cord-004073-k6ad4qgu 191 14 dilemma dilemma NN cord-004073-k6ad4qgu 191 15 , , , cord-004073-k6ad4qgu 191 16 while while IN cord-004073-k6ad4qgu 191 17 any any DT cord-004073-k6ad4qgu 191 18 social social JJ cord-004073-k6ad4qgu 191 19 dilemma dilemma NN cord-004073-k6ad4qgu 191 20 causes cause VBZ cord-004073-k6ad4qgu 191 21 a a DT cord-004073-k6ad4qgu 191 22 positive positive JJ cord-004073-k6ad4qgu 191 23 SED sed NN cord-004073-k6ad4qgu 191 24 . . . cord-004073-k6ad4qgu 192 1 According accord VBG cord-004073-k6ad4qgu 192 2 to to IN cord-004073-k6ad4qgu 192 3 the the DT cord-004073-k6ad4qgu 192 4 abovementioned abovementioned JJ cord-004073-k6ad4qgu 192 5 conceptual conceptual JJ cord-004073-k6ad4qgu 192 6 definition definition NN cord-004073-k6ad4qgu 192 7 , , , cord-004073-k6ad4qgu 192 8 SED SED NNP cord-004073-k6ad4qgu 192 9 in in IN cord-004073-k6ad4qgu 192 10 the the DT cord-004073-k6ad4qgu 192 11 current current JJ cord-004073-k6ad4qgu 192 12 model model NN cord-004073-k6ad4qgu 192 13 ( ( -LRB- cord-004073-k6ad4qgu 192 14 which which WDT cord-004073-k6ad4qgu 192 15 deals deal VBZ cord-004073-k6ad4qgu 192 16 with with IN cord-004073-k6ad4qgu 192 17 both both DT cord-004073-k6ad4qgu 192 18 vaccination vaccination NN cord-004073-k6ad4qgu 192 19 and and CC cord-004073-k6ad4qgu 192 20 treatment treatment NN cord-004073-k6ad4qgu 192 21 games game NNS cord-004073-k6ad4qgu 192 22 ) ) -RRB- cord-004073-k6ad4qgu 192 23 is be VBZ cord-004073-k6ad4qgu 192 24 given give VBN cord-004073-k6ad4qgu 192 25 by by IN cord-004073-k6ad4qgu 192 26 Meanwhile meanwhile RB cord-004073-k6ad4qgu 192 27 , , , cord-004073-k6ad4qgu 192 28 the the DT cord-004073-k6ad4qgu 192 29 ASP ASP NNP cord-004073-k6ad4qgu 192 30 is be VBZ cord-004073-k6ad4qgu 192 31 the the DT cord-004073-k6ad4qgu 192 32 quantity quantity NN cord-004073-k6ad4qgu 192 33 of of IN cord-004073-k6ad4qgu 192 34 payoff payoff NN cord-004073-k6ad4qgu 192 35 . . . cord-004073-k6ad4qgu 193 1 The the DT cord-004073-k6ad4qgu 193 2 superscript superscript NN cord-004073-k6ad4qgu 193 3 ' ' `` cord-004073-k6ad4qgu 193 4 Opt Opt NNP cord-004073-k6ad4qgu 193 5 ' ' '' cord-004073-k6ad4qgu 193 6 and and CC cord-004073-k6ad4qgu 193 7 subscript subscript NNP cord-004073-k6ad4qgu 193 8 ' ' `` cord-004073-k6ad4qgu 193 9 social social JJ cord-004073-k6ad4qgu 193 10 ' ' '' cord-004073-k6ad4qgu 193 11 together together RB cord-004073-k6ad4qgu 193 12 indicate indicate VBP cord-004073-k6ad4qgu 193 13 the the DT cord-004073-k6ad4qgu 193 14 social social JJ cord-004073-k6ad4qgu 193 15 optimal optimal NN cord-004073-k6ad4qgu 193 16 . . . cord-004073-k6ad4qgu 194 1 The the DT cord-004073-k6ad4qgu 194 2 C c NN cord-004073-k6ad4qgu 194 3 i i PRP cord-004073-k6ad4qgu 194 4 was be VBD cord-004073-k6ad4qgu 194 5 taken take VBN cord-004073-k6ad4qgu 194 6 as as IN cord-004073-k6ad4qgu 194 7 the the DT cord-004073-k6ad4qgu 194 8 standardizing standardize VBG cord-004073-k6ad4qgu 194 9 denominator denominator NN cord-004073-k6ad4qgu 194 10 as as IN cord-004073-k6ad4qgu 194 11 previously previously RB cord-004073-k6ad4qgu 194 12 defined define VBN cord-004073-k6ad4qgu 194 13 as as IN cord-004073-k6ad4qgu 194 14 1 1 CD cord-004073-k6ad4qgu 194 15 . . . cord-004073-k6ad4qgu 195 1 The the DT cord-004073-k6ad4qgu 195 2 SEDs sed NNS cord-004073-k6ad4qgu 195 3 in in IN cord-004073-k6ad4qgu 195 4 the the DT cord-004073-k6ad4qgu 195 5 vaccination vaccination NN cord-004073-k6ad4qgu 195 6 and and CC cord-004073-k6ad4qgu 195 7 treatment treatment NN cord-004073-k6ad4qgu 195 8 game game NN cord-004073-k6ad4qgu 195 9 of of IN cord-004073-k6ad4qgu 195 10 the the DT cord-004073-k6ad4qgu 195 11 present present JJ cord-004073-k6ad4qgu 195 12 model model NN cord-004073-k6ad4qgu 195 13 are be VBP cord-004073-k6ad4qgu 195 14 , , , cord-004073-k6ad4qgu 195 15 respectively respectively RB cord-004073-k6ad4qgu 195 16 , , , cord-004073-k6ad4qgu 195 17 defined define VBN cord-004073-k6ad4qgu 195 18 as as IN cord-004073-k6ad4qgu 195 19 follows follow VBZ cord-004073-k6ad4qgu 195 20 : : : cord-004073-k6ad4qgu 195 21 social social JJ cord-004073-k6ad4qgu 195 22 reflect reflect VBP cord-004073-k6ad4qgu 195 23 the the DT cord-004073-k6ad4qgu 195 24 fact fact NN cord-004073-k6ad4qgu 195 25 that that IN cord-004073-k6ad4qgu 195 26 the the DT cord-004073-k6ad4qgu 195 27 maximum maximum JJ cord-004073-k6ad4qgu 195 28 ASP ASP NNP cord-004073-k6ad4qgu 195 29 is be VBZ cord-004073-k6ad4qgu 195 30 obtained obtain VBN cord-004073-k6ad4qgu 195 31 for for IN cord-004073-k6ad4qgu 195 32 varying vary VBG cord-004073-k6ad4qgu 195 33 x x NN cord-004073-k6ad4qgu 195 34 ranging range VBG cord-004073-k6ad4qgu 195 35 from from IN cord-004073-k6ad4qgu 195 36 0 0 CD cord-004073-k6ad4qgu 195 37 to to IN cord-004073-k6ad4qgu 195 38 1 1 CD cord-004073-k6ad4qgu 195 39 ( ( -LRB- cord-004073-k6ad4qgu 195 40 for for IN cord-004073-k6ad4qgu 195 41 fixed fix VBN cord-004073-k6ad4qgu 195 42 p p NN cord-004073-k6ad4qgu 195 43 k k NN cord-004073-k6ad4qgu 195 44 ) ) -RRB- cord-004073-k6ad4qgu 195 45 and and CC cord-004073-k6ad4qgu 195 46 varying vary VBG cord-004073-k6ad4qgu 195 47 P p NN cord-004073-k6ad4qgu 195 48 from from IN cord-004073-k6ad4qgu 195 49 0 0 CD cord-004073-k6ad4qgu 195 50 to to TO cord-004073-k6ad4qgu 195 51 1(for 1(for VB cord-004073-k6ad4qgu 195 52 fixed fix VBN cord-004073-k6ad4qgu 195 53 x x NN cord-004073-k6ad4qgu 195 54 l l NN cord-004073-k6ad4qgu 195 55 ) ) -RRB- cord-004073-k6ad4qgu 195 56 , , , cord-004073-k6ad4qgu 195 57 respectively respectively RB cord-004073-k6ad4qgu 195 58 . . . cord-004073-k6ad4qgu 196 1 Figure figure NN cord-004073-k6ad4qgu 196 2 7 7 CD cord-004073-k6ad4qgu 196 3 presents present VBZ cord-004073-k6ad4qgu 196 4 the the DT cord-004073-k6ad4qgu 196 5 stepwise stepwise JJ cord-004073-k6ad4qgu 196 6 procedure procedure NN cord-004073-k6ad4qgu 196 7 of of IN cord-004073-k6ad4qgu 196 8 finding find VBG cord-004073-k6ad4qgu 196 9 SED sed NN cord-004073-k6ad4qgu 196 10 and and CC cord-004073-k6ad4qgu 196 11 quantifying quantify VBG cord-004073-k6ad4qgu 196 12 the the DT cord-004073-k6ad4qgu 196 13 dual dual JJ cord-004073-k6ad4qgu 196 14 dilemma dilemma NN cord-004073-k6ad4qgu 196 15 in in IN cord-004073-k6ad4qgu 196 16 the the DT cord-004073-k6ad4qgu 196 17 proposed propose VBN cord-004073-k6ad4qgu 196 18 method method NN cord-004073-k6ad4qgu 196 19 . . . cord-004073-k6ad4qgu 197 1 Step step NN cord-004073-k6ad4qgu 197 2 1 1 CD cord-004073-k6ad4qgu 197 3 . . . cord-004073-k6ad4qgu 198 1 Construct construct VB cord-004073-k6ad4qgu 198 2 the the DT cord-004073-k6ad4qgu 198 3 ASP ASP NNP cord-004073-k6ad4qgu 198 4 phase phase NN cord-004073-k6ad4qgu 198 5 diagram diagram NN cord-004073-k6ad4qgu 198 6 based base VBN cord-004073-k6ad4qgu 198 7 on on IN cord-004073-k6ad4qgu 198 8 the the DT cord-004073-k6ad4qgu 198 9 evolutionary evolutionary JJ cord-004073-k6ad4qgu 198 10 game game NN cord-004073-k6ad4qgu 198 11 approach approach NN cord-004073-k6ad4qgu 198 12 ( ( -LRB- cord-004073-k6ad4qgu 198 13 figure figure NN cord-004073-k6ad4qgu 198 14 7(i 7(i CD cord-004073-k6ad4qgu 198 15 ) ) -RRB- cord-004073-k6ad4qgu 198 16 ) ) -RRB- cord-004073-k6ad4qgu 198 17 . . . cord-004073-k6ad4qgu 199 1 To to IN cord-004073-k6ad4qgu 199 2 this this DT cord-004073-k6ad4qgu 199 3 end end NN cord-004073-k6ad4qgu 199 4 , , , cord-004073-k6ad4qgu 199 5 implement implement VB cord-004073-k6ad4qgu 199 6 both both CC cord-004073-k6ad4qgu 199 7 the the DT cord-004073-k6ad4qgu 199 8 vaccination vaccination NN cord-004073-k6ad4qgu 199 9 and and CC cord-004073-k6ad4qgu 199 10 treatment treatment NN cord-004073-k6ad4qgu 199 11 games game NNS cord-004073-k6ad4qgu 199 12 and and CC cord-004073-k6ad4qgu 199 13 obtain obtain VB cord-004073-k6ad4qgu 199 14 the the DT cord-004073-k6ad4qgu 199 15 appropriate appropriate JJ cord-004073-k6ad4qgu 199 16 ASP asp NN cord-004073-k6ad4qgu 199 17 at at IN cord-004073-k6ad4qgu 199 18 the the DT cord-004073-k6ad4qgu 199 19 NE NE NNP cord-004073-k6ad4qgu 199 20 , , , cord-004073-k6ad4qgu 199 21 along along IN cord-004073-k6ad4qgu 199 22 with with IN cord-004073-k6ad4qgu 199 23 a a DT cord-004073-k6ad4qgu 199 24 certain certain JJ cord-004073-k6ad4qgu 199 25 vaccine vaccine NN cord-004073-k6ad4qgu 199 26 effectiveness effectiveness NN cord-004073-k6ad4qgu 199 27 ( ( -LRB- cord-004073-k6ad4qgu 199 28 e e NN cord-004073-k6ad4qgu 199 29 ) ) -RRB- cord-004073-k6ad4qgu 199 30 and and CC cord-004073-k6ad4qgu 199 31 treatment treatment NN cord-004073-k6ad4qgu 199 32 efficacy efficacy NN cord-004073-k6ad4qgu 199 33 ( ( -LRB- cord-004073-k6ad4qgu 199 34 ε ε NNP cord-004073-k6ad4qgu 199 35 ) ) -RRB- cord-004073-k6ad4qgu 199 36 . . . cord-004073-k6ad4qgu 200 1 The the DT cord-004073-k6ad4qgu 200 2 ASP ASP NNP cord-004073-k6ad4qgu 200 3 associated associate VBN cord-004073-k6ad4qgu 200 4 with with IN cord-004073-k6ad4qgu 200 5 the the DT cord-004073-k6ad4qgu 200 6 fraction fraction NN cord-004073-k6ad4qgu 200 7 of of IN cord-004073-k6ad4qgu 200 8 vaccinators vaccinator NNS cord-004073-k6ad4qgu 200 9 and and CC cord-004073-k6ad4qgu 200 10 probability probability NN cord-004073-k6ad4qgu 200 11 of of IN cord-004073-k6ad4qgu 200 12 treatment treatment NN cord-004073-k6ad4qgu 200 13 ( ( -LRB- cord-004073-k6ad4qgu 200 14 x x NN cord-004073-k6ad4qgu 200 15 l l NN cord-004073-k6ad4qgu 200 16 , , , cord-004073-k6ad4qgu 200 17 p p NN cord-004073-k6ad4qgu 200 18 k k NN cord-004073-k6ad4qgu 200 19 ) ) -RRB- cord-004073-k6ad4qgu 200 20 at at IN cord-004073-k6ad4qgu 200 21 the the DT cord-004073-k6ad4qgu 200 22 NE NE NNP cord-004073-k6ad4qgu 200 23 can can MD cord-004073-k6ad4qgu 200 24 also also RB cord-004073-k6ad4qgu 200 25 be be VB cord-004073-k6ad4qgu 200 26 observed observe VBN cord-004073-k6ad4qgu 200 27 for for IN cord-004073-k6ad4qgu 200 28 a a DT cord-004073-k6ad4qgu 200 29 precise precise JJ cord-004073-k6ad4qgu 200 30 ( ( -LRB- cord-004073-k6ad4qgu 200 31 e e NNP cord-004073-k6ad4qgu 200 32 i i NNP cord-004073-k6ad4qgu 200 33 , , , cord-004073-k6ad4qgu 200 34 ε ε NNP cord-004073-k6ad4qgu 200 35 j j NNP cord-004073-k6ad4qgu 200 36 ) ) -RRB- cord-004073-k6ad4qgu 200 37 . . . cord-004073-k6ad4qgu 201 1 Step step NN cord-004073-k6ad4qgu 201 2 2 2 CD cord-004073-k6ad4qgu 201 3 . . . cord-004073-k6ad4qgu 202 1 For for IN cord-004073-k6ad4qgu 202 2 this this DT cord-004073-k6ad4qgu 202 3 fixed fix VBN cord-004073-k6ad4qgu 202 4 ( ( -LRB- cord-004073-k6ad4qgu 202 5 e e NN cord-004073-k6ad4qgu 202 6 i i NNP cord-004073-k6ad4qgu 202 7 , , , cord-004073-k6ad4qgu 202 8 ε ε NNP cord-004073-k6ad4qgu 202 9 j j NNP cord-004073-k6ad4qgu 202 10 ) ) -RRB- cord-004073-k6ad4qgu 202 11 , , , cord-004073-k6ad4qgu 202 12 evaluate evaluate VB cord-004073-k6ad4qgu 202 13 ASP ASP NNP cord-004073-k6ad4qgu 202 14 To to TO cord-004073-k6ad4qgu 202 15 address address VB cord-004073-k6ad4qgu 202 16 whether whether IN cord-004073-k6ad4qgu 202 17 a a DT cord-004073-k6ad4qgu 202 18 dual dual JJ cord-004073-k6ad4qgu 202 19 dilemma dilemma NN cord-004073-k6ad4qgu 202 20 exists exist VBZ cord-004073-k6ad4qgu 202 21 in in IN cord-004073-k6ad4qgu 202 22 the the DT cord-004073-k6ad4qgu 202 23 vaccination vaccination NN cord-004073-k6ad4qgu 202 24 and and CC cord-004073-k6ad4qgu 202 25 treatment treatment NN cord-004073-k6ad4qgu 202 26 games game NNS cord-004073-k6ad4qgu 202 27 , , , cord-004073-k6ad4qgu 202 28 we -PRON- PRP cord-004073-k6ad4qgu 202 29 plot plot VBP cord-004073-k6ad4qgu 202 30 the the DT cord-004073-k6ad4qgu 202 31 SED sed NN cord-004073-k6ad4qgu 202 32 diagrams diagram NNS cord-004073-k6ad4qgu 202 33 in in IN cord-004073-k6ad4qgu 202 34 the the DT cord-004073-k6ad4qgu 202 35 vaccination vaccination NN cord-004073-k6ad4qgu 202 36 effectiveness effectiveness NN cord-004073-k6ad4qgu 202 37 ( ( -LRB- cord-004073-k6ad4qgu 202 38 e e NN cord-004073-k6ad4qgu 202 39 ) ) -RRB- cord-004073-k6ad4qgu 202 40 versus versus IN cord-004073-k6ad4qgu 202 41 treatment treatment NN cord-004073-k6ad4qgu 202 42 efficacy efficacy NN cord-004073-k6ad4qgu 202 43 ( ( -LRB- cord-004073-k6ad4qgu 202 44 ε ε NNP cord-004073-k6ad4qgu 202 45 ) ) -RRB- cord-004073-k6ad4qgu 202 46 planes plane NNS cord-004073-k6ad4qgu 202 47 at at IN cord-004073-k6ad4qgu 202 48 different different JJ cord-004073-k6ad4qgu 202 49 costs cost NNS cord-004073-k6ad4qgu 202 50 . . . cord-004073-k6ad4qgu 203 1 Panels panel NNS cord-004073-k6ad4qgu 203 2 A A NNP cord-004073-k6ad4qgu 203 3 and and CC cord-004073-k6ad4qgu 203 4 B b NN cord-004073-k6ad4qgu 203 5 of of IN cord-004073-k6ad4qgu 203 6 figure figure NN cord-004073-k6ad4qgu 203 7 8 8 CD cord-004073-k6ad4qgu 203 8 are be VBP cord-004073-k6ad4qgu 203 9 plotted plot VBN cord-004073-k6ad4qgu 203 10 under under IN cord-004073-k6ad4qgu 203 11 the the DT cord-004073-k6ad4qgu 203 12 strategy strategy NN cord-004073-k6ad4qgu 203 13 update update NN cord-004073-k6ad4qgu 203 14 rules rule VBZ cord-004073-k6ad4qgu 203 15 IB IB NNP cord-004073-k6ad4qgu 203 16 - - HYPH cord-004073-k6ad4qgu 203 17 RA RA NNP cord-004073-k6ad4qgu 203 18 and and CC cord-004073-k6ad4qgu 203 19 SB SB NNP cord-004073-k6ad4qgu 203 20 - - HYPH cord-004073-k6ad4qgu 203 21 RA RA NNP cord-004073-k6ad4qgu 203 22 , , , cord-004073-k6ad4qgu 203 23 respectively respectively RB cord-004073-k6ad4qgu 203 24 , , , cord-004073-k6ad4qgu 203 25 and and CC cord-004073-k6ad4qgu 203 26 plots plot NNS cord-004073-k6ad4qgu 203 27 ( ( -LRB- cord-004073-k6ad4qgu 203 28 a- a- XX cord-004073-k6ad4qgu 203 29 * * NFP cord-004073-k6ad4qgu 203 30 ) ) -RRB- cord-004073-k6ad4qgu 203 31 and and CC cord-004073-k6ad4qgu 203 32 ( ( -LRB- cord-004073-k6ad4qgu 203 33 b- b- XX cord-004073-k6ad4qgu 204 1 * * NFP cord-004073-k6ad4qgu 204 2 ) ) -RRB- cord-004073-k6ad4qgu 204 3 present present VBP cord-004073-k6ad4qgu 204 4 the the DT cord-004073-k6ad4qgu 204 5 SEDs sed NNS cord-004073-k6ad4qgu 204 6 in in IN cord-004073-k6ad4qgu 204 7 the the DT cord-004073-k6ad4qgu 204 8 vaccination vaccination NN cord-004073-k6ad4qgu 204 9 game game NN cord-004073-k6ad4qgu 204 10 SED SED NNP cord-004073-k6ad4qgu 204 11 v v NN cord-004073-k6ad4qgu 204 12 and and CC cord-004073-k6ad4qgu 204 13 the the DT cord-004073-k6ad4qgu 204 14 treatment treatment NN cord-004073-k6ad4qgu 204 15 game game NN cord-004073-k6ad4qgu 204 16 SED SED NNP cord-004073-k6ad4qgu 204 17 T T NNP cord-004073-k6ad4qgu 204 18 , , , cord-004073-k6ad4qgu 204 19 respectively respectively RB cord-004073-k6ad4qgu 204 20 . . . cord-004073-k6ad4qgu 205 1 Moreover moreover RB cord-004073-k6ad4qgu 205 2 , , , cord-004073-k6ad4qgu 205 3 the the DT cord-004073-k6ad4qgu 205 4 combined combined JJ cord-004073-k6ad4qgu 205 5 vaccination vaccination NN cord-004073-k6ad4qgu 205 6 and and CC cord-004073-k6ad4qgu 205 7 treatment treatment NN cord-004073-k6ad4qgu 205 8 costs cost NNS cord-004073-k6ad4qgu 205 9 ( ( -LRB- cord-004073-k6ad4qgu 205 10 C C NNP cord-004073-k6ad4qgu 205 11 r r NN cord-004073-k6ad4qgu 205 12 , , , cord-004073-k6ad4qgu 205 13 C C NNP cord-004073-k6ad4qgu 205 14 T T NNP cord-004073-k6ad4qgu 205 15 ) ) -RRB- cord-004073-k6ad4qgu 205 16 were be VBD cord-004073-k6ad4qgu 205 17 varied varied JJ cord-004073-k6ad4qgu 205 18 as as IN cord-004073-k6ad4qgu 205 19 ( ( -LRB- cord-004073-k6ad4qgu 205 20 0.1 0.1 CD cord-004073-k6ad4qgu 205 21 , , , cord-004073-k6ad4qgu 205 22 0.1 0.1 CD cord-004073-k6ad4qgu 205 23 ) ) -RRB- cord-004073-k6ad4qgu 205 24 , , , cord-004073-k6ad4qgu 205 25 ( ( -LRB- cord-004073-k6ad4qgu 205 26 0.1 0.1 CD cord-004073-k6ad4qgu 205 27 , , , cord-004073-k6ad4qgu 205 28 0.9 0.9 CD cord-004073-k6ad4qgu 205 29 ) ) -RRB- cord-004073-k6ad4qgu 205 30 , , , cord-004073-k6ad4qgu 205 31 ( ( -LRB- cord-004073-k6ad4qgu 205 32 0.9 0.9 CD cord-004073-k6ad4qgu 205 33 , , , cord-004073-k6ad4qgu 205 34 0.1 0.1 CD cord-004073-k6ad4qgu 205 35 ) ) -RRB- cord-004073-k6ad4qgu 205 36 ( ( -LRB- cord-004073-k6ad4qgu 205 37 0.1 0.1 CD cord-004073-k6ad4qgu 205 38 , , , cord-004073-k6ad4qgu 205 39 0.1 0.1 CD cord-004073-k6ad4qgu 205 40 ) ) -RRB- cord-004073-k6ad4qgu 205 41 , , , cord-004073-k6ad4qgu 205 42 and and CC cord-004073-k6ad4qgu 205 43 ( ( -LRB- cord-004073-k6ad4qgu 205 44 0.9 0.9 CD cord-004073-k6ad4qgu 205 45 , , , cord-004073-k6ad4qgu 205 46 0.9 0.9 CD cord-004073-k6ad4qgu 205 47 ) ) -RRB- cord-004073-k6ad4qgu 205 48 in in IN cord-004073-k6ad4qgu 205 49 plots plot NNS cord-004073-k6ad4qgu 205 50 ( ( -LRB- cord-004073-k6ad4qgu 205 51 * * NFP cord-004073-k6ad4qgu 205 52 -i -i ADD cord-004073-k6ad4qgu 205 53 ) ) -RRB- cord-004073-k6ad4qgu 205 54 , , , cord-004073-k6ad4qgu 205 55 ( ( -LRB- cord-004073-k6ad4qgu 205 56 * * NFP cord-004073-k6ad4qgu 205 57 -ii -ii NFP cord-004073-k6ad4qgu 205 58 ) ) -RRB- cord-004073-k6ad4qgu 205 59 , , . cord-004073-k6ad4qgu 206 1 ( ( -LRB- cord-004073-k6ad4qgu 207 1 * * NFP cord-004073-k6ad4qgu 207 2 -iii -iii NFP cord-004073-k6ad4qgu 207 3 ) ) -RRB- cord-004073-k6ad4qgu 207 4 and and CC cord-004073-k6ad4qgu 207 5 ( ( -LRB- cord-004073-k6ad4qgu 207 6 * * NFP cord-004073-k6ad4qgu 207 7 -iv -iv NFP cord-004073-k6ad4qgu 207 8 ) ) -RRB- cord-004073-k6ad4qgu 207 9 , , , cord-004073-k6ad4qgu 207 10 respectively respectively RB cord-004073-k6ad4qgu 207 11 . . . cord-004073-k6ad4qgu 208 1 As as IN cord-004073-k6ad4qgu 208 2 demonstrated demonstrate VBN cord-004073-k6ad4qgu 208 3 in in IN cord-004073-k6ad4qgu 208 4 the the DT cord-004073-k6ad4qgu 208 5 above above JJ cord-004073-k6ad4qgu 208 6 SED sed NN cord-004073-k6ad4qgu 208 7 formulation formulation NN cord-004073-k6ad4qgu 208 8 , , , cord-004073-k6ad4qgu 208 9 the the DT cord-004073-k6ad4qgu 208 10 dilemma dilemma NN cord-004073-k6ad4qgu 208 11 situation situation NN cord-004073-k6ad4qgu 208 12 ( ( -LRB- cord-004073-k6ad4qgu 208 13 non non JJ cord-004073-k6ad4qgu 208 14 - - JJ cord-004073-k6ad4qgu 208 15 white white JJ cord-004073-k6ad4qgu 208 16 areas area NNS cord-004073-k6ad4qgu 208 17 in in IN cord-004073-k6ad4qgu 208 18 the the DT cord-004073-k6ad4qgu 208 19 plots plot NNS cord-004073-k6ad4qgu 208 20 ) ) -RRB- cord-004073-k6ad4qgu 208 21 appeared appear VBD cord-004073-k6ad4qgu 208 22 in in IN cord-004073-k6ad4qgu 208 23 all all DT cord-004073-k6ad4qgu 208 24 cases case NNS cord-004073-k6ad4qgu 208 25 , , , cord-004073-k6ad4qgu 208 26 but but CC cord-004073-k6ad4qgu 208 27 interestingly interestingly RB cord-004073-k6ad4qgu 208 28 depended depend VBD cord-004073-k6ad4qgu 208 29 on on IN cord-004073-k6ad4qgu 208 30 e e NN cord-004073-k6ad4qgu 208 31 and and CC cord-004073-k6ad4qgu 208 32 ε ε NN cord-004073-k6ad4qgu 208 33 . . . cord-004073-k6ad4qgu 209 1 Nodilemma Nodilemma NNP cord-004073-k6ad4qgu 209 2 regions region NNS cord-004073-k6ad4qgu 209 3 , , , cord-004073-k6ad4qgu 209 4 in in IN cord-004073-k6ad4qgu 209 5 which which WDT cord-004073-k6ad4qgu 209 6 either either CC cord-004073-k6ad4qgu 209 7 the the DT cord-004073-k6ad4qgu 209 8 vaccination vaccination NN cord-004073-k6ad4qgu 209 9 or or CC cord-004073-k6ad4qgu 209 10 treatment treatment NN cord-004073-k6ad4qgu 209 11 game game NN cord-004073-k6ad4qgu 209 12 became become VBD cord-004073-k6ad4qgu 209 13 trivial trivial JJ cord-004073-k6ad4qgu 209 14 , , , cord-004073-k6ad4qgu 209 15 were be VBD cord-004073-k6ad4qgu 209 16 also also RB cord-004073-k6ad4qgu 209 17 observed observe VBN cord-004073-k6ad4qgu 209 18 . . . cord-004073-k6ad4qgu 210 1 Now now RB cord-004073-k6ad4qgu 210 2 , , , cord-004073-k6ad4qgu 210 3 comparing compare VBG cord-004073-k6ad4qgu 210 4 panels panel NNS cord-004073-k6ad4qgu 210 5 ( ( -LRB- cord-004073-k6ad4qgu 210 6 a a LS cord-004073-k6ad4qgu 210 7 - - : cord-004073-k6ad4qgu 210 8 i i NN cord-004073-k6ad4qgu 210 9 ) ) -RRB- cord-004073-k6ad4qgu 210 10 and and CC cord-004073-k6ad4qgu 210 11 ( ( -LRB- cord-004073-k6ad4qgu 210 12 a a DT cord-004073-k6ad4qgu 210 13 - - HYPH cord-004073-k6ad4qgu 210 14 ii ii NN cord-004073-k6ad4qgu 210 15 ) ) -RRB- cord-004073-k6ad4qgu 210 16 for for IN cord-004073-k6ad4qgu 210 17 C c NN cord-004073-k6ad4qgu 210 18 r r NN cord-004073-k6ad4qgu 210 19 = = SYM cord-004073-k6ad4qgu 210 20 0.1 0.1 CD cord-004073-k6ad4qgu 210 21 with with IN cord-004073-k6ad4qgu 210 22 panels panel NNS cord-004073-k6ad4qgu 210 23 ( ( -LRB- cord-004073-k6ad4qgu 210 24 a a LS cord-004073-k6ad4qgu 210 25 - - HYPH cord-004073-k6ad4qgu 210 26 iii iii NN cord-004073-k6ad4qgu 210 27 ) ) -RRB- cord-004073-k6ad4qgu 210 28 and and CC cord-004073-k6ad4qgu 210 29 ( ( -LRB- cord-004073-k6ad4qgu 210 30 a a LS cord-004073-k6ad4qgu 210 31 - - HYPH cord-004073-k6ad4qgu 210 32 iv iv NN cord-004073-k6ad4qgu 210 33 ) ) -RRB- cord-004073-k6ad4qgu 210 34 for for IN cord-004073-k6ad4qgu 210 35 C c NN cord-004073-k6ad4qgu 210 36 r r NN cord-004073-k6ad4qgu 210 37 = = SYM cord-004073-k6ad4qgu 210 38 0.9 0.9 CD cord-004073-k6ad4qgu 210 39 , , , cord-004073-k6ad4qgu 210 40 one one PRP cord-004073-k6ad4qgu 210 41 finds find VBZ cord-004073-k6ad4qgu 210 42 that that IN cord-004073-k6ad4qgu 210 43 the the DT cord-004073-k6ad4qgu 210 44 non non JJ cord-004073-k6ad4qgu 210 45 - - JJ cord-004073-k6ad4qgu 210 46 dilemma dilemma JJ cord-004073-k6ad4qgu 210 47 region region NN cord-004073-k6ad4qgu 210 48 ( ( -LRB- cord-004073-k6ad4qgu 210 49 whiteout whiteout NN cord-004073-k6ad4qgu 210 50 region region NN cord-004073-k6ad4qgu 210 51 ) ) -RRB- cord-004073-k6ad4qgu 210 52 expanded expand VBN cord-004073-k6ad4qgu 210 53 with with IN cord-004073-k6ad4qgu 210 54 increasing increase VBG cord-004073-k6ad4qgu 210 55 vaccination vaccination NN cord-004073-k6ad4qgu 210 56 cost cost NN cord-004073-k6ad4qgu 210 57 . . . cord-004073-k6ad4qgu 211 1 At at IN cord-004073-k6ad4qgu 211 2 the the DT cord-004073-k6ad4qgu 211 3 smaller small JJR cord-004073-k6ad4qgu 211 4 vaccination vaccination NN cord-004073-k6ad4qgu 211 5 cost cost NN cord-004073-k6ad4qgu 211 6 ( ( -LRB- cord-004073-k6ad4qgu 211 7 C c NN cord-004073-k6ad4qgu 211 8 r r NN cord-004073-k6ad4qgu 211 9 = = NN cord-004073-k6ad4qgu 211 10 0.1 0.1 CD cord-004073-k6ad4qgu 211 11 ) ) -RRB- cord-004073-k6ad4qgu 211 12 , , , cord-004073-k6ad4qgu 211 13 the the DT cord-004073-k6ad4qgu 211 14 region region NN cord-004073-k6ad4qgu 211 15 of of IN cord-004073-k6ad4qgu 211 16 larger large JJR cord-004073-k6ad4qgu 211 17 SED SED NNP cord-004073-k6ad4qgu 211 18 appeared appear VBD cord-004073-k6ad4qgu 211 19 at at IN cord-004073-k6ad4qgu 211 20 a a DT cord-004073-k6ad4qgu 211 21 relatively relatively RB cord-004073-k6ad4qgu 211 22 low low JJ cord-004073-k6ad4qgu 211 23 vaccination vaccination NN cord-004073-k6ad4qgu 211 24 effectiveness effectiveness NN cord-004073-k6ad4qgu 211 25 ( ( -LRB- cord-004073-k6ad4qgu 211 26 around around IN cord-004073-k6ad4qgu 211 27 e e NN cord-004073-k6ad4qgu 211 28 = = SYM cord-004073-k6ad4qgu 211 29 0.4 0.4 CD cord-004073-k6ad4qgu 211 30 ; ; : cord-004073-k6ad4qgu 211 31 dotted dotted JJ cord-004073-k6ad4qgu 211 32 red red JJ cord-004073-k6ad4qgu 211 33 box box NN cord-004073-k6ad4qgu 211 34 in in IN cord-004073-k6ad4qgu 211 35 panel panel NN cord-004073-k6ad4qgu 211 36 ( ( -LRB- cord-004073-k6ad4qgu 211 37 a a LS cord-004073-k6ad4qgu 211 38 - - : cord-004073-k6ad4qgu 211 39 i i NN cord-004073-k6ad4qgu 211 40 ) ) -RRB- cord-004073-k6ad4qgu 211 41 ) ) -RRB- cord-004073-k6ad4qgu 211 42 . . . cord-004073-k6ad4qgu 212 1 The the DT cord-004073-k6ad4qgu 212 2 huge huge JJ cord-004073-k6ad4qgu 212 3 gap gap NN cord-004073-k6ad4qgu 212 4 between between IN cord-004073-k6ad4qgu 212 5 NE NE NNP cord-004073-k6ad4qgu 212 6 and and CC cord-004073-k6ad4qgu 212 7 the the DT cord-004073-k6ad4qgu 212 8 social social JJ cord-004073-k6ad4qgu 212 9 optimal optimal NN cord-004073-k6ad4qgu 212 10 results result NNS cord-004073-k6ad4qgu 212 11 from from IN cord-004073-k6ad4qgu 212 12 the the DT cord-004073-k6ad4qgu 212 13 lower low JJR cord-004073-k6ad4qgu 212 14 NE NE NNP cord-004073-k6ad4qgu 212 15 due due IN cord-004073-k6ad4qgu 212 16 to to IN cord-004073-k6ad4qgu 212 17 a a DT cord-004073-k6ad4qgu 212 18 lower low JJR cord-004073-k6ad4qgu 212 19 efficiency efficiency NN cord-004073-k6ad4qgu 212 20 which which WDT cord-004073-k6ad4qgu 212 21 makes make VBZ cord-004073-k6ad4qgu 212 22 fewer few JJR cord-004073-k6ad4qgu 212 23 people people NNS cord-004073-k6ad4qgu 212 24 commit commit VB cord-004073-k6ad4qgu 212 25 vaccination vaccination NN cord-004073-k6ad4qgu 212 26 when when WRB cord-004073-k6ad4qgu 212 27 compared compare VBN cord-004073-k6ad4qgu 212 28 with with IN cord-004073-k6ad4qgu 212 29 a a DT cord-004073-k6ad4qgu 212 30 situation situation NN cord-004073-k6ad4qgu 212 31 allowing allow VBG cord-004073-k6ad4qgu 212 32 a a DT cord-004073-k6ad4qgu 212 33 relatively relatively RB cord-004073-k6ad4qgu 212 34 higher high JJR cord-004073-k6ad4qgu 212 35 efficiency efficiency NN cord-004073-k6ad4qgu 212 36 which which WDT cord-004073-k6ad4qgu 212 37 makes make VBZ cord-004073-k6ad4qgu 212 38 much much RB cord-004073-k6ad4qgu 212 39 more more JJR cord-004073-k6ad4qgu 212 40 people people NNS cord-004073-k6ad4qgu 212 41 commit commit VBP cord-004073-k6ad4qgu 212 42 . . . cord-004073-k6ad4qgu 213 1 By by IN cord-004073-k6ad4qgu 213 2 contrast contrast NN cord-004073-k6ad4qgu 213 3 , , , cord-004073-k6ad4qgu 213 4 a a DT cord-004073-k6ad4qgu 213 5 relatively relatively RB cord-004073-k6ad4qgu 213 6 high high JJ cord-004073-k6ad4qgu 213 7 vaccination vaccination NN cord-004073-k6ad4qgu 213 8 efficiency efficiency NN cord-004073-k6ad4qgu 213 9 entices entice VBZ cord-004073-k6ad4qgu 213 10 people people NNS cord-004073-k6ad4qgu 213 11 to to TO cord-004073-k6ad4qgu 213 12 vaccinate vaccinate VB cord-004073-k6ad4qgu 213 13 , , , cord-004073-k6ad4qgu 213 14 thus thus RB cord-004073-k6ad4qgu 213 15 increasing increase VBG cord-004073-k6ad4qgu 213 16 the the DT cord-004073-k6ad4qgu 213 17 NE NE NNP cord-004073-k6ad4qgu 213 18 . . . cord-004073-k6ad4qgu 214 1 Meanwhile meanwhile RB cord-004073-k6ad4qgu 214 2 , , , cord-004073-k6ad4qgu 214 3 increasing increase VBG cord-004073-k6ad4qgu 214 4 the the DT cord-004073-k6ad4qgu 214 5 vaccination vaccination NN cord-004073-k6ad4qgu 214 6 cost cost NN cord-004073-k6ad4qgu 214 7 ( ( -LRB- cord-004073-k6ad4qgu 214 8 C c NN cord-004073-k6ad4qgu 214 9 r r NN cord-004073-k6ad4qgu 214 10 = = SYM cord-004073-k6ad4qgu 214 11 0.9 0.9 CD cord-004073-k6ad4qgu 214 12 ) ) -RRB- cord-004073-k6ad4qgu 214 13 shifted shift VBD cord-004073-k6ad4qgu 214 14 the the DT cord-004073-k6ad4qgu 214 15 region region NN cord-004073-k6ad4qgu 214 16 of of IN cord-004073-k6ad4qgu 214 17 reasonably reasonably RB cord-004073-k6ad4qgu 214 18 high high JJ cord-004073-k6ad4qgu 214 19 SED sed NN cord-004073-k6ad4qgu 214 20 to to IN cord-004073-k6ad4qgu 214 21 the the DT cord-004073-k6ad4qgu 214 22 maximally maximally RB cord-004073-k6ad4qgu 214 23 high high JJ cord-004073-k6ad4qgu 214 24 vaccination vaccination NN cord-004073-k6ad4qgu 214 25 effectiveness effectiveness NN cord-004073-k6ad4qgu 214 26 ( ( -LRB- cord-004073-k6ad4qgu 214 27 dotted dotted JJ cord-004073-k6ad4qgu 214 28 blue blue JJ cord-004073-k6ad4qgu 214 29 box box NN cord-004073-k6ad4qgu 214 30 in in IN cord-004073-k6ad4qgu 214 31 panel panel NN cord-004073-k6ad4qgu 214 32 ( ( -LRB- cord-004073-k6ad4qgu 214 33 a a LS cord-004073-k6ad4qgu 214 34 - - HYPH cord-004073-k6ad4qgu 214 35 iv iv NN cord-004073-k6ad4qgu 214 36 ) ) -RRB- cord-004073-k6ad4qgu 214 37 ) ) -RRB- cord-004073-k6ad4qgu 214 38 . . . cord-004073-k6ad4qgu 215 1 This this DT cord-004073-k6ad4qgu 215 2 occurred occur VBD cord-004073-k6ad4qgu 215 3 because because IN cord-004073-k6ad4qgu 215 4 despite despite IN cord-004073-k6ad4qgu 215 5 the the DT cord-004073-k6ad4qgu 215 6 high high JJ cord-004073-k6ad4qgu 215 7 vaccination vaccination NN cord-004073-k6ad4qgu 215 8 effectiveness effectiveness NN cord-004073-k6ad4qgu 215 9 , , , cord-004073-k6ad4qgu 215 10 low low JJ cord-004073-k6ad4qgu 215 11 vaccination vaccination NN cord-004073-k6ad4qgu 215 12 efficiency efficiency NN cord-004073-k6ad4qgu 215 13 hampers hamper VBZ cord-004073-k6ad4qgu 215 14 the the DT cord-004073-k6ad4qgu 215 15 commitment commitment NN cord-004073-k6ad4qgu 215 16 to to IN cord-004073-k6ad4qgu 215 17 vaccination vaccination NN cord-004073-k6ad4qgu 215 18 . . . cord-004073-k6ad4qgu 216 1 Reliable reliable JJ cord-004073-k6ad4qgu 216 2 vaccination vaccination NN cord-004073-k6ad4qgu 216 3 provides provide VBZ cord-004073-k6ad4qgu 216 4 a a DT cord-004073-k6ad4qgu 216 5 high high JJ cord-004073-k6ad4qgu 216 6 commitment commitment NN cord-004073-k6ad4qgu 216 7 incentive incentive NN cord-004073-k6ad4qgu 216 8 , , , cord-004073-k6ad4qgu 216 9 but but CC cord-004073-k6ad4qgu 216 10 high high JJ cord-004073-k6ad4qgu 216 11 cost cost NN cord-004073-k6ad4qgu 216 12 encourages encourage VBZ cord-004073-k6ad4qgu 216 13 free free JJ cord-004073-k6ad4qgu 216 14 - - HYPH cord-004073-k6ad4qgu 216 15 riding riding NN cord-004073-k6ad4qgu 216 16 on on IN cord-004073-k6ad4qgu 216 17 the the DT cord-004073-k6ad4qgu 216 18 herd herd NN cord-004073-k6ad4qgu 216 19 immunity immunity NN cord-004073-k6ad4qgu 216 20 of of IN cord-004073-k6ad4qgu 216 21 the the DT cord-004073-k6ad4qgu 216 22 devoted devoted JJ cord-004073-k6ad4qgu 216 23 others other NNS cord-004073-k6ad4qgu 216 24 . . . cord-004073-k6ad4qgu 217 1 In in IN cord-004073-k6ad4qgu 217 2 summary summary NN cord-004073-k6ad4qgu 217 3 , , , cord-004073-k6ad4qgu 217 4 we -PRON- PRP cord-004073-k6ad4qgu 217 5 have have VBP cord-004073-k6ad4qgu 217 6 numerically numerically RB cord-004073-k6ad4qgu 217 7 demonstrated demonstrate VBN cord-004073-k6ad4qgu 217 8 that that IN cord-004073-k6ad4qgu 217 9 the the DT cord-004073-k6ad4qgu 217 10 SED SED NNP cord-004073-k6ad4qgu 217 11 precisely precisely RB cord-004073-k6ad4qgu 217 12 and and CC cord-004073-k6ad4qgu 217 13 easily easily RB cord-004073-k6ad4qgu 217 14 detects detect VBZ cord-004073-k6ad4qgu 217 15 the the DT cord-004073-k6ad4qgu 217 16 social social JJ cord-004073-k6ad4qgu 217 17 dilemma dilemma NN cord-004073-k6ad4qgu 217 18 in in IN cord-004073-k6ad4qgu 217 19 our -PRON- PRP$ cord-004073-k6ad4qgu 217 20 dual dual JJ cord-004073-k6ad4qgu 217 21 - - HYPH cord-004073-k6ad4qgu 217 22 dilemma dilemma NN cord-004073-k6ad4qgu 217 23 coevolutionary coevolutionary JJ cord-004073-k6ad4qgu 217 24 model model NN cord-004073-k6ad4qgu 217 25 . . . cord-004073-k6ad4qgu 218 1 This this DT cord-004073-k6ad4qgu 218 2 paper paper NN cord-004073-k6ad4qgu 218 3 developed develop VBD cord-004073-k6ad4qgu 218 4 an an DT cord-004073-k6ad4qgu 218 5 SITR SITR NNP cord-004073-k6ad4qgu 218 6 / / SYM cord-004073-k6ad4qgu 218 7 V v NN cord-004073-k6ad4qgu 218 8 epidemic epidemic NN cord-004073-k6ad4qgu 218 9 model model NN cord-004073-k6ad4qgu 218 10 that that WDT cord-004073-k6ad4qgu 218 11 combines combine VBZ cord-004073-k6ad4qgu 218 12 the the DT cord-004073-k6ad4qgu 218 13 effects effect NNS cord-004073-k6ad4qgu 218 14 of of IN cord-004073-k6ad4qgu 218 15 proactive proactive JJ cord-004073-k6ad4qgu 218 16 vaccination vaccination NN cord-004073-k6ad4qgu 218 17 and and CC cord-004073-k6ad4qgu 218 18 retroactive retroactive JJ cord-004073-k6ad4qgu 218 19 treatment treatment NN cord-004073-k6ad4qgu 218 20 on on IN cord-004073-k6ad4qgu 218 21 the the DT cord-004073-k6ad4qgu 218 22 control control NN cord-004073-k6ad4qgu 218 23 and and CC cord-004073-k6ad4qgu 218 24 prevention prevention NN cord-004073-k6ad4qgu 218 25 of of IN cord-004073-k6ad4qgu 218 26 infectious infectious JJ cord-004073-k6ad4qgu 218 27 viral viral JJ cord-004073-k6ad4qgu 218 28 diseases disease NNS cord-004073-k6ad4qgu 218 29 . . . cord-004073-k6ad4qgu 219 1 The the DT cord-004073-k6ad4qgu 219 2 model model NN cord-004073-k6ad4qgu 219 3 building building NN cord-004073-k6ad4qgu 219 4 and and CC cord-004073-k6ad4qgu 219 5 its -PRON- PRP$ cord-004073-k6ad4qgu 219 6 investigation investigation NN cord-004073-k6ad4qgu 219 7 were be VBD cord-004073-k6ad4qgu 219 8 presented present VBN cord-004073-k6ad4qgu 219 9 in in IN cord-004073-k6ad4qgu 219 10 this this DT cord-004073-k6ad4qgu 219 11 work work NN cord-004073-k6ad4qgu 219 12 . . . cord-004073-k6ad4qgu 220 1 The the DT cord-004073-k6ad4qgu 220 2 most most RBS cord-004073-k6ad4qgu 220 3 important important JJ cord-004073-k6ad4qgu 220 4 contribution contribution NN cord-004073-k6ad4qgu 220 5 is be VBZ cord-004073-k6ad4qgu 220 6 that that IN cord-004073-k6ad4qgu 220 7 our -PRON- PRP$ cord-004073-k6ad4qgu 220 8 new new JJ cord-004073-k6ad4qgu 220 9 model model NN cord-004073-k6ad4qgu 220 10 gives give VBZ cord-004073-k6ad4qgu 220 11 a a DT cord-004073-k6ad4qgu 220 12 brand brand NN cord-004073-k6ad4qgu 220 13 - - HYPH cord-004073-k6ad4qgu 220 14 new new JJ cord-004073-k6ad4qgu 220 15 framework framework NN cord-004073-k6ad4qgu 220 16 in in IN cord-004073-k6ad4qgu 220 17 which which WDT cord-004073-k6ad4qgu 220 18 both both DT cord-004073-k6ad4qgu 220 19 pre pre JJ cord-004073-k6ad4qgu 220 20 - - JJ cord-004073-k6ad4qgu 220 21 emptive emptive JJ cord-004073-k6ad4qgu 220 22 vaccination vaccination NN cord-004073-k6ad4qgu 220 23 and and CC cord-004073-k6ad4qgu 220 24 treatment treatment NN cord-004073-k6ad4qgu 220 25 as as IN cord-004073-k6ad4qgu 220 26 an an DT cord-004073-k6ad4qgu 220 27 ex ex FW cord-004073-k6ad4qgu 220 28 post post NN cord-004073-k6ad4qgu 220 29 provision provision NN cord-004073-k6ad4qgu 220 30 having have VBG cord-004073-k6ad4qgu 220 31 different different JJ cord-004073-k6ad4qgu 220 32 evolutionary evolutionary JJ cord-004073-k6ad4qgu 220 33 time time NN cord-004073-k6ad4qgu 220 34 scales scale NNS cord-004073-k6ad4qgu 220 35 , , , cord-004073-k6ad4qgu 220 36 which which WDT cord-004073-k6ad4qgu 220 37 dovetails dovetail VBZ cord-004073-k6ad4qgu 220 38 the the DT cord-004073-k6ad4qgu 220 39 ideological ideological JJ cord-004073-k6ad4qgu 220 40 dynamics dynamic NNS cord-004073-k6ad4qgu 220 41 with with IN cord-004073-k6ad4qgu 220 42 the the DT cord-004073-k6ad4qgu 220 43 dynamics dynamic NNS cord-004073-k6ad4qgu 220 44 of of IN cord-004073-k6ad4qgu 220 45 the the DT cord-004073-k6ad4qgu 220 46 human human JJ cord-004073-k6ad4qgu 220 47 decision decision NN cord-004073-k6ad4qgu 220 48 - - HYPH cord-004073-k6ad4qgu 220 49 making make VBG cord-004073-k6ad4qgu 220 50 process process NN cord-004073-k6ad4qgu 220 51 . . . cord-004073-k6ad4qgu 221 1 This this DT cord-004073-k6ad4qgu 221 2 concept concept NN cord-004073-k6ad4qgu 221 3 has have VBZ cord-004073-k6ad4qgu 221 4 been be VBN cord-004073-k6ad4qgu 221 5 never never RB cord-004073-k6ad4qgu 221 6 studied study VBN cord-004073-k6ad4qgu 221 7 . . . cord-004073-k6ad4qgu 222 1 Also also RB cord-004073-k6ad4qgu 222 2 , , , cord-004073-k6ad4qgu 222 3 our -PRON- PRP$ cord-004073-k6ad4qgu 222 4 model model NN cord-004073-k6ad4qgu 222 5 gives give VBZ cord-004073-k6ad4qgu 222 6 a a DT cord-004073-k6ad4qgu 222 7 clear clear JJ cord-004073-k6ad4qgu 222 8 procedure procedure NN cord-004073-k6ad4qgu 222 9 to to TO cord-004073-k6ad4qgu 222 10 quantify quantify VB cord-004073-k6ad4qgu 222 11 the the DT cord-004073-k6ad4qgu 222 12 social social JJ cord-004073-k6ad4qgu 222 13 dilemmas dilemma NNS cord-004073-k6ad4qgu 222 14 , , , cord-004073-k6ad4qgu 222 15 respectively respectively RB cord-004073-k6ad4qgu 222 16 , , , cord-004073-k6ad4qgu 222 17 entailed entail VBN cord-004073-k6ad4qgu 222 18 by by IN cord-004073-k6ad4qgu 222 19 ' ' `` cord-004073-k6ad4qgu 222 20 vaccination vaccination NN cord-004073-k6ad4qgu 222 21 game game NN cord-004073-k6ad4qgu 222 22 ' ' '' cord-004073-k6ad4qgu 222 23 and and CC cord-004073-k6ad4qgu 222 24 ' ' `` cord-004073-k6ad4qgu 222 25 treatment treatment NN cord-004073-k6ad4qgu 222 26 game game NN cord-004073-k6ad4qgu 222 27 ' ' '' cord-004073-k6ad4qgu 222 28 . . . cord-004073-k6ad4qgu 223 1 The the DT cord-004073-k6ad4qgu 223 2 most most RBS cord-004073-k6ad4qgu 223 3 novel novel JJ cord-004073-k6ad4qgu 223 4 aspect aspect NN cord-004073-k6ad4qgu 223 5 of of IN cord-004073-k6ad4qgu 223 6 our -PRON- PRP$ cord-004073-k6ad4qgu 223 7 model model NN cord-004073-k6ad4qgu 223 8 is be VBZ cord-004073-k6ad4qgu 223 9 the the DT cord-004073-k6ad4qgu 223 10 simultaneous simultaneous JJ cord-004073-k6ad4qgu 223 11 implementation implementation NN cord-004073-k6ad4qgu 223 12 of of IN cord-004073-k6ad4qgu 223 13 two two CD cord-004073-k6ad4qgu 223 14 social social JJ cord-004073-k6ad4qgu 223 15 dilemma dilemma NN cord-004073-k6ad4qgu 223 16 games games NNPS cord-004073-k6ad4qgu 223 17 : : : cord-004073-k6ad4qgu 223 18 the the DT cord-004073-k6ad4qgu 223 19 antiviral antiviral JJ cord-004073-k6ad4qgu 223 20 treatment treatment NN cord-004073-k6ad4qgu 223 21 game game NN cord-004073-k6ad4qgu 223 22 and and CC cord-004073-k6ad4qgu 223 23 the the DT cord-004073-k6ad4qgu 223 24 vaccination vaccination NN cord-004073-k6ad4qgu 223 25 game game NN cord-004073-k6ad4qgu 223 26 , , , cord-004073-k6ad4qgu 223 27 which which WDT cord-004073-k6ad4qgu 223 28 none none NN cord-004073-k6ad4qgu 223 29 of of IN cord-004073-k6ad4qgu 223 30 the the DT cord-004073-k6ad4qgu 223 31 previous previous JJ cord-004073-k6ad4qgu 223 32 work work NN cord-004073-k6ad4qgu 223 33 has have VBZ cord-004073-k6ad4qgu 223 34 tried try VBN cord-004073-k6ad4qgu 223 35 to to TO cord-004073-k6ad4qgu 223 36 implement implement VB cord-004073-k6ad4qgu 223 37 . . . cord-004073-k6ad4qgu 224 1 The the DT cord-004073-k6ad4qgu 224 2 vaccination vaccination NN cord-004073-k6ad4qgu 224 3 game game NN cord-004073-k6ad4qgu 224 4 implements implement VBZ cord-004073-k6ad4qgu 224 5 on on IN cord-004073-k6ad4qgu 224 6 the the DT cord-004073-k6ad4qgu 224 7 global global JJ cord-004073-k6ad4qgu 224 8 time time NN cord-004073-k6ad4qgu 224 9 scale scale NN cord-004073-k6ad4qgu 224 10 under under IN cord-004073-k6ad4qgu 224 11 two two CD cord-004073-k6ad4qgu 224 12 strategy strategy NN cord-004073-k6ad4qgu 224 13 adaptation adaptation NN cord-004073-k6ad4qgu 224 14 rules rule NNS cord-004073-k6ad4qgu 224 15 : : : cord-004073-k6ad4qgu 224 16 IB IB NNP cord-004073-k6ad4qgu 224 17 - - HYPH cord-004073-k6ad4qgu 224 18 RA RA NNP cord-004073-k6ad4qgu 224 19 and and CC cord-004073-k6ad4qgu 224 20 SB SB NNP cord-004073-k6ad4qgu 224 21 - - HYPH cord-004073-k6ad4qgu 224 22 RA RA NNP cord-004073-k6ad4qgu 224 23 , , , cord-004073-k6ad4qgu 224 24 assuming assume VBG cord-004073-k6ad4qgu 224 25 an an DT cord-004073-k6ad4qgu 224 26 infinite infinite JJ cord-004073-k6ad4qgu 224 27 and and CC cord-004073-k6ad4qgu 224 28 well well RB cord-004073-k6ad4qgu 224 29 - - HYPH cord-004073-k6ad4qgu 224 30 mixed mix VBN cord-004073-k6ad4qgu 224 31 population population NN cord-004073-k6ad4qgu 224 32 . . . cord-004073-k6ad4qgu 225 1 Meanwhile meanwhile RB cord-004073-k6ad4qgu 225 2 , , , cord-004073-k6ad4qgu 225 3 the the DT cord-004073-k6ad4qgu 225 4 treatment treatment NN cord-004073-k6ad4qgu 225 5 game game NN cord-004073-k6ad4qgu 225 6 describes describe VBZ cord-004073-k6ad4qgu 225 7 the the DT cord-004073-k6ad4qgu 225 8 behaviour behaviour NN cord-004073-k6ad4qgu 225 9 of of IN cord-004073-k6ad4qgu 225 10 antiviral antiviral JJ cord-004073-k6ad4qgu 225 11 administration administration NN cord-004073-k6ad4qgu 225 12 with with IN cord-004073-k6ad4qgu 225 13 resistant resistant JJ cord-004073-k6ad4qgu 225 14 - - HYPH cord-004073-k6ad4qgu 225 15 strain strain NN cord-004073-k6ad4qgu 225 16 emergence emergence NN cord-004073-k6ad4qgu 225 17 . . . cord-004073-k6ad4qgu 226 1 The the DT cord-004073-k6ad4qgu 226 2 treatment treatment NN cord-004073-k6ad4qgu 226 3 game game NN cord-004073-k6ad4qgu 226 4 is be VBZ cord-004073-k6ad4qgu 226 5 updated update VBN cord-004073-k6ad4qgu 226 6 on on IN cord-004073-k6ad4qgu 226 7 the the DT cord-004073-k6ad4qgu 226 8 local local JJ cord-004073-k6ad4qgu 226 9 time time NN cord-004073-k6ad4qgu 226 10 scale scale NN cord-004073-k6ad4qgu 226 11 by by IN cord-004073-k6ad4qgu 226 12 presuming presume VBG cord-004073-k6ad4qgu 226 13 the the DT cord-004073-k6ad4qgu 226 14 DC DC NNP cord-004073-k6ad4qgu 226 15 rule rule NN cord-004073-k6ad4qgu 226 16 , , , cord-004073-k6ad4qgu 226 17 and and CC cord-004073-k6ad4qgu 226 18 precisely precisely RB cord-004073-k6ad4qgu 226 19 integrating integrate VBG cord-004073-k6ad4qgu 226 20 a a DT cord-004073-k6ad4qgu 226 21 feedback feedback NN cord-004073-k6ad4qgu 226 22 loop loop NN cord-004073-k6ad4qgu 226 23 between between IN cord-004073-k6ad4qgu 226 24 the the DT cord-004073-k6ad4qgu 226 25 sensitive sensitive JJ cord-004073-k6ad4qgu 226 26 and and CC cord-004073-k6ad4qgu 226 27 resistant resistant JJ cord-004073-k6ad4qgu 226 28 strains strain NNS cord-004073-k6ad4qgu 226 29 . . . cord-004073-k6ad4qgu 227 1 The the DT cord-004073-k6ad4qgu 227 2 outcome outcome NN cord-004073-k6ad4qgu 227 3 of of IN cord-004073-k6ad4qgu 227 4 antiviral antiviral JJ cord-004073-k6ad4qgu 227 5 and and CC cord-004073-k6ad4qgu 227 6 vaccination vaccination NN cord-004073-k6ad4qgu 227 7 use use NN cord-004073-k6ad4qgu 227 8 depends depend VBZ cord-004073-k6ad4qgu 227 9 on on IN cord-004073-k6ad4qgu 227 10 the the DT cord-004073-k6ad4qgu 227 11 effectiveness effectiveness NN cord-004073-k6ad4qgu 227 12 of of IN cord-004073-k6ad4qgu 227 13 the the DT cord-004073-k6ad4qgu 227 14 vaccine vaccine NN cord-004073-k6ad4qgu 227 15 , , , cord-004073-k6ad4qgu 227 16 the the DT cord-004073-k6ad4qgu 227 17 efficiency efficiency NN cord-004073-k6ad4qgu 227 18 of of IN cord-004073-k6ad4qgu 227 19 treatment treatment NN cord-004073-k6ad4qgu 227 20 and and CC cord-004073-k6ad4qgu 227 21 their -PRON- PRP$ cord-004073-k6ad4qgu 227 22 corresponding correspond VBG cord-004073-k6ad4qgu 227 23 costs cost NNS cord-004073-k6ad4qgu 227 24 . . . cord-004073-k6ad4qgu 228 1 Increasing increase VBG cord-004073-k6ad4qgu 228 2 the the DT cord-004073-k6ad4qgu 228 3 effectiveness effectiveness NN cord-004073-k6ad4qgu 228 4 of of IN cord-004073-k6ad4qgu 228 5 the the DT cord-004073-k6ad4qgu 228 6 vaccine vaccine NN cord-004073-k6ad4qgu 228 7 and and CC cord-004073-k6ad4qgu 228 8 lowering lower VBG cord-004073-k6ad4qgu 228 9 its -PRON- PRP$ cord-004073-k6ad4qgu 228 10 administration administration NN cord-004073-k6ad4qgu 228 11 cost cost NN cord-004073-k6ad4qgu 228 12 reduced reduce VBD cord-004073-k6ad4qgu 228 13 the the DT cord-004073-k6ad4qgu 228 14 final final JJ cord-004073-k6ad4qgu 228 15 epidemic epidemic NN cord-004073-k6ad4qgu 228 16 size size NN cord-004073-k6ad4qgu 228 17 ( ( -LRB- cord-004073-k6ad4qgu 228 18 increased increase VBN cord-004073-k6ad4qgu 228 19 vaccination vaccination NN cord-004073-k6ad4qgu 228 20 coverage coverage NN cord-004073-k6ad4qgu 228 21 ) ) -RRB- cord-004073-k6ad4qgu 228 22 . . . cord-004073-k6ad4qgu 229 1 Lowering lower VBG cord-004073-k6ad4qgu 229 2 the the DT cord-004073-k6ad4qgu 229 3 treatment treatment NN cord-004073-k6ad4qgu 229 4 cost cost NN cord-004073-k6ad4qgu 229 5 and and CC cord-004073-k6ad4qgu 229 6 enhancing enhance VBG cord-004073-k6ad4qgu 229 7 the the DT cord-004073-k6ad4qgu 229 8 treatment treatment NN cord-004073-k6ad4qgu 229 9 efficacy efficacy NN cord-004073-k6ad4qgu 229 10 exerted exert VBD cord-004073-k6ad4qgu 229 11 a a DT cord-004073-k6ad4qgu 229 12 similar similar JJ cord-004073-k6ad4qgu 229 13 effect effect NN cord-004073-k6ad4qgu 229 14 . . . cord-004073-k6ad4qgu 230 1 Thus thus RB cord-004073-k6ad4qgu 230 2 , , , cord-004073-k6ad4qgu 230 3 by by IN cord-004073-k6ad4qgu 230 4 applying apply VBG cord-004073-k6ad4qgu 230 5 retroactive retroactive JJ cord-004073-k6ad4qgu 230 6 antiviral antiviral JJ cord-004073-k6ad4qgu 230 7 use use NN cord-004073-k6ad4qgu 230 8 with with IN cord-004073-k6ad4qgu 230 9 pre pre JJ cord-004073-k6ad4qgu 230 10 - - JJ cord-004073-k6ad4qgu 230 11 emptive emptive JJ cord-004073-k6ad4qgu 230 12 vaccination vaccination NN cord-004073-k6ad4qgu 230 13 , , , cord-004073-k6ad4qgu 230 14 we -PRON- PRP cord-004073-k6ad4qgu 230 15 can can MD cord-004073-k6ad4qgu 230 16 deeply deeply RB cord-004073-k6ad4qgu 230 17 understand understand VB cord-004073-k6ad4qgu 230 18 and and CC cord-004073-k6ad4qgu 230 19 investigate investigate VB cord-004073-k6ad4qgu 230 20 individual individual JJ cord-004073-k6ad4qgu 230 21 decisions decision NNS cord-004073-k6ad4qgu 230 22 regarding regard VBG cord-004073-k6ad4qgu 230 23 vaccination vaccination NN cord-004073-k6ad4qgu 230 24 and and CC cord-004073-k6ad4qgu 230 25 implement implement VB cord-004073-k6ad4qgu 230 26 proper proper JJ cord-004073-k6ad4qgu 230 27 strategies strategy NNS cord-004073-k6ad4qgu 230 28 that that WDT cord-004073-k6ad4qgu 230 29 lessen lessen VBP cord-004073-k6ad4qgu 230 30 the the DT cord-004073-k6ad4qgu 230 31 diffusion diffusion NN cord-004073-k6ad4qgu 230 32 of of IN cord-004073-k6ad4qgu 230 33 infection infection NN cord-004073-k6ad4qgu 230 34 or or CC cord-004073-k6ad4qgu 230 35 recommend recommend VB cord-004073-k6ad4qgu 230 36 appropriate appropriate JJ cord-004073-k6ad4qgu 230 37 and and CC cord-004073-k6ad4qgu 230 38 careful careful JJ cord-004073-k6ad4qgu 230 39 administration administration NN cord-004073-k6ad4qgu 230 40 of of IN cord-004073-k6ad4qgu 230 41 both both DT cord-004073-k6ad4qgu 230 42 antivirals antiviral NNS cord-004073-k6ad4qgu 230 43 and and CC cord-004073-k6ad4qgu 230 44 vaccination vaccination NN cord-004073-k6ad4qgu 230 45 . . . cord-004073-k6ad4qgu 231 1 We -PRON- PRP cord-004073-k6ad4qgu 231 2 also also RB cord-004073-k6ad4qgu 231 3 introduced introduce VBD cord-004073-k6ad4qgu 231 4 the the DT cord-004073-k6ad4qgu 231 5 social social JJ cord-004073-k6ad4qgu 231 6 optimum optimum JJ cord-004073-k6ad4qgu 231 7 point point NN cord-004073-k6ad4qgu 231 8 P p NN cord-004073-k6ad4qgu 231 9 c c NN cord-004073-k6ad4qgu 231 10 that that WDT cord-004073-k6ad4qgu 231 11 distinguishes distinguish VBZ cord-004073-k6ad4qgu 231 12 the the DT cord-004073-k6ad4qgu 231 13 conditions condition NNS cord-004073-k6ad4qgu 231 14 under under IN cord-004073-k6ad4qgu 231 15 which which WDT cord-004073-k6ad4qgu 231 16 treatment treatment NN cord-004073-k6ad4qgu 231 17 resistance resistance NN cord-004073-k6ad4qgu 231 18 emerges emerge VBZ cord-004073-k6ad4qgu 231 19 under under IN cord-004073-k6ad4qgu 231 20 antibiotic antibiotic JJ cord-004073-k6ad4qgu 231 21 overuse overuse NN cord-004073-k6ad4qgu 231 22 and and CC cord-004073-k6ad4qgu 231 23 its -PRON- PRP$ cord-004073-k6ad4qgu 231 24 associated associate VBN cord-004073-k6ad4qgu 231 25 factors factor NNS cord-004073-k6ad4qgu 231 26 . . . cord-004073-k6ad4qgu 232 1 Besides besides IN cord-004073-k6ad4qgu 232 2 evolving evolve VBG cord-004073-k6ad4qgu 232 3 the the DT cord-004073-k6ad4qgu 232 4 voluntary voluntary JJ cord-004073-k6ad4qgu 232 5 vaccination vaccination NN cord-004073-k6ad4qgu 232 6 game game NN cord-004073-k6ad4qgu 232 7 , , , cord-004073-k6ad4qgu 232 8 our -PRON- PRP$ cord-004073-k6ad4qgu 232 9 model model NN cord-004073-k6ad4qgu 232 10 introduces introduce VBZ cord-004073-k6ad4qgu 232 11 a a DT cord-004073-k6ad4qgu 232 12 new new JJ cord-004073-k6ad4qgu 232 13 game game NN cord-004073-k6ad4qgu 232 14 aspect aspect NN cord-004073-k6ad4qgu 232 15 with with IN cord-004073-k6ad4qgu 232 16 two two CD cord-004073-k6ad4qgu 232 17 provisions provision NNS cord-004073-k6ad4qgu 232 18 : : : cord-004073-k6ad4qgu 232 19 vaccination vaccination NN cord-004073-k6ad4qgu 232 20 as as IN cord-004073-k6ad4qgu 232 21 a a DT cord-004073-k6ad4qgu 232 22 proactive proactive JJ cord-004073-k6ad4qgu 232 23 measure measure NN cord-004073-k6ad4qgu 232 24 and and CC cord-004073-k6ad4qgu 232 25 treatment treatment NN cord-004073-k6ad4qgu 232 26 as as IN cord-004073-k6ad4qgu 232 27 a a DT cord-004073-k6ad4qgu 232 28 retroactive retroactive JJ cord-004073-k6ad4qgu 232 29 measure measure NN cord-004073-k6ad4qgu 232 30 . . . cord-004073-k6ad4qgu 233 1 Presuming presume VBG cord-004073-k6ad4qgu 233 2 seasonal seasonal JJ cord-004073-k6ad4qgu 233 3 influenza influenza NN cord-004073-k6ad4qgu 233 4 - - HYPH cord-004073-k6ad4qgu 233 5 like like JJ cord-004073-k6ad4qgu 233 6 diseases disease NNS cord-004073-k6ad4qgu 233 7 , , , cord-004073-k6ad4qgu 233 8 the the DT cord-004073-k6ad4qgu 233 9 ( ( -LRB- cord-004073-k6ad4qgu 233 10 pre pre JJ cord-004073-k6ad4qgu 233 11 - - JJ cord-004073-k6ad4qgu 233 12 emptive emptive JJ cord-004073-k6ad4qgu 233 13 ) ) -RRB- cord-004073-k6ad4qgu 233 14 vaccination vaccination NN cord-004073-k6ad4qgu 233 15 works work VBZ cord-004073-k6ad4qgu 233 16 over over IN cord-004073-k6ad4qgu 233 17 repeated repeat VBN cord-004073-k6ad4qgu 233 18 seasons season NNS cord-004073-k6ad4qgu 233 19 on on IN cord-004073-k6ad4qgu 233 20 global global JJ cord-004073-k6ad4qgu 233 21 time time NN cord-004073-k6ad4qgu 233 22 scales scale NNS cord-004073-k6ad4qgu 233 23 , , , cord-004073-k6ad4qgu 233 24 whereas whereas IN cord-004073-k6ad4qgu 233 25 the the DT cord-004073-k6ad4qgu 233 26 ex ex FW cord-004073-k6ad4qgu 233 27 post post NN cord-004073-k6ad4qgu 233 28 treatment treatment NN cord-004073-k6ad4qgu 233 29 works work VBZ cord-004073-k6ad4qgu 233 30 seasonally seasonally RB cord-004073-k6ad4qgu 233 31 on on IN cord-004073-k6ad4qgu 233 32 local local JJ cord-004073-k6ad4qgu 233 33 time time NN cord-004073-k6ad4qgu 233 34 scales scale NNS cord-004073-k6ad4qgu 233 35 and and CC cord-004073-k6ad4qgu 233 36 depends depend VBZ cord-004073-k6ad4qgu 233 37 on on IN cord-004073-k6ad4qgu 233 38 the the DT cord-004073-k6ad4qgu 233 39 antiviral antiviral JJ cord-004073-k6ad4qgu 233 40 cost cost NN cord-004073-k6ad4qgu 233 41 , , , cord-004073-k6ad4qgu 233 42 prescription prescription NN cord-004073-k6ad4qgu 233 43 behaviour behaviour NN cord-004073-k6ad4qgu 233 44 and and CC cord-004073-k6ad4qgu 233 45 resistant resistant JJ cord-004073-k6ad4qgu 233 46 - - HYPH cord-004073-k6ad4qgu 233 47 strain strain NN cord-004073-k6ad4qgu 233 48 emergence emergence NN cord-004073-k6ad4qgu 233 49 . . . cord-004073-k6ad4qgu 234 1 In in IN cord-004073-k6ad4qgu 234 2 the the DT cord-004073-k6ad4qgu 234 3 present present JJ cord-004073-k6ad4qgu 234 4 model model NN cord-004073-k6ad4qgu 234 5 , , , cord-004073-k6ad4qgu 234 6 we -PRON- PRP cord-004073-k6ad4qgu 234 7 successfully successfully RB cord-004073-k6ad4qgu 234 8 established establish VBD cord-004073-k6ad4qgu 234 9 a a DT cord-004073-k6ad4qgu 234 10 ' ' `` cord-004073-k6ad4qgu 234 11 double double JJ cord-004073-k6ad4qgu 234 12 - - HYPH cord-004073-k6ad4qgu 234 13 layer layer NN cord-004073-k6ad4qgu 234 14 ' ' '' cord-004073-k6ad4qgu 234 15 game game NN cord-004073-k6ad4qgu 234 16 structure structure NN cord-004073-k6ad4qgu 234 17 of of IN cord-004073-k6ad4qgu 234 18 pre pre JJ cord-004073-k6ad4qgu 234 19 - - JJ cord-004073-k6ad4qgu 234 20 emptive emptive JJ cord-004073-k6ad4qgu 234 21 vaccination vaccination NN cord-004073-k6ad4qgu 234 22 and and CC cord-004073-k6ad4qgu 234 23 ex ex FW cord-004073-k6ad4qgu 234 24 post post NN cord-004073-k6ad4qgu 234 25 treatment treatment NN cord-004073-k6ad4qgu 234 26 . . . cord-004073-k6ad4qgu 235 1 Unlike unlike IN cord-004073-k6ad4qgu 235 2 the the DT cord-004073-k6ad4qgu 235 3 vaccination vaccination NN cord-004073-k6ad4qgu 235 4 game game NN cord-004073-k6ad4qgu 235 5 model model NN cord-004073-k6ad4qgu 235 6 , , , cord-004073-k6ad4qgu 235 7 which which WDT cord-004073-k6ad4qgu 235 8 only only RB cord-004073-k6ad4qgu 235 9 considers consider VBZ cord-004073-k6ad4qgu 235 10 whether whether IN cord-004073-k6ad4qgu 235 11 the the DT cord-004073-k6ad4qgu 235 12 vaccine vaccine NN cord-004073-k6ad4qgu 235 13 is be VBZ cord-004073-k6ad4qgu 235 14 accepted accept VBN cord-004073-k6ad4qgu 235 15 or or CC cord-004073-k6ad4qgu 235 16 declined decline VBN cord-004073-k6ad4qgu 235 17 , , , cord-004073-k6ad4qgu 235 18 and and CC cord-004073-k6ad4qgu 235 19 whether whether IN cord-004073-k6ad4qgu 235 20 an an DT cord-004073-k6ad4qgu 235 21 ex ex FW cord-004073-k6ad4qgu 235 22 post post NN cord-004073-k6ad4qgu 235 23 provision provision NN cord-004073-k6ad4qgu 235 24 is be VBZ cord-004073-k6ad4qgu 235 25 taken take VBN cord-004073-k6ad4qgu 235 26 in in IN cord-004073-k6ad4qgu 235 27 a a DT cord-004073-k6ad4qgu 235 28 single single JJ cord-004073-k6ad4qgu 235 29 season season NN cord-004073-k6ad4qgu 235 30 , , , cord-004073-k6ad4qgu 235 31 the the DT cord-004073-k6ad4qgu 235 32 treatment treatment NN cord-004073-k6ad4qgu 235 33 game game NN cord-004073-k6ad4qgu 235 34 includes include VBZ cord-004073-k6ad4qgu 235 35 an an DT cord-004073-k6ad4qgu 235 36 aspect aspect NN cord-004073-k6ad4qgu 235 37 that that WDT cord-004073-k6ad4qgu 235 38 depends depend VBZ cord-004073-k6ad4qgu 235 39 on on IN cord-004073-k6ad4qgu 235 40 the the DT cord-004073-k6ad4qgu 235 41 antiviral antiviral JJ cord-004073-k6ad4qgu 235 42 resistance resistance NN cord-004073-k6ad4qgu 235 43 evolution evolution NN cord-004073-k6ad4qgu 235 44 and and CC cord-004073-k6ad4qgu 235 45 prescribing prescribe VBG cord-004073-k6ad4qgu 235 46 behaviour behaviour NN cord-004073-k6ad4qgu 235 47 . . . cord-004073-k6ad4qgu 236 1 To to TO cord-004073-k6ad4qgu 236 2 explicitly explicitly RB cord-004073-k6ad4qgu 236 3 prove prove VB cord-004073-k6ad4qgu 236 4 the the DT cord-004073-k6ad4qgu 236 5 dual dual JJ cord-004073-k6ad4qgu 236 6 - - HYPH cord-004073-k6ad4qgu 236 7 dilemma dilemma NN cord-004073-k6ad4qgu 236 8 situation situation NN cord-004073-k6ad4qgu 236 9 in in IN cord-004073-k6ad4qgu 236 10 the the DT cord-004073-k6ad4qgu 236 11 ' ' `` cord-004073-k6ad4qgu 236 12 double double JJ cord-004073-k6ad4qgu 236 13 - - HYPH cord-004073-k6ad4qgu 236 14 layer layer NN cord-004073-k6ad4qgu 236 15 ' ' '' cord-004073-k6ad4qgu 236 16 game game NN cord-004073-k6ad4qgu 236 17 , , , cord-004073-k6ad4qgu 236 18 we -PRON- PRP cord-004073-k6ad4qgu 236 19 proposed propose VBD cord-004073-k6ad4qgu 236 20 the the DT cord-004073-k6ad4qgu 236 21 SED SED NNP cord-004073-k6ad4qgu 236 22 indicator indicator NN cord-004073-k6ad4qgu 236 23 , , , cord-004073-k6ad4qgu 236 24 which which WDT cord-004073-k6ad4qgu 236 25 quantifies quantify VBZ cord-004073-k6ad4qgu 236 26 whether whether IN cord-004073-k6ad4qgu 236 27 the the DT cord-004073-k6ad4qgu 236 28 dynamics dynamic NNS cord-004073-k6ad4qgu 236 29 develop develop VBP cord-004073-k6ad4qgu 236 30 a a DT cord-004073-k6ad4qgu 236 31 social social JJ cord-004073-k6ad4qgu 236 32 dilemma dilemma NN cord-004073-k6ad4qgu 236 33 structure structure NN cord-004073-k6ad4qgu 236 34 . . . cord-004073-k6ad4qgu 237 1 This this DT cord-004073-k6ad4qgu 237 2 indicator indicator NN cord-004073-k6ad4qgu 237 3 is be VBZ cord-004073-k6ad4qgu 237 4 measured measure VBN cord-004073-k6ad4qgu 237 5 by by IN cord-004073-k6ad4qgu 237 6 the the DT cord-004073-k6ad4qgu 237 7 gap gap NN cord-004073-k6ad4qgu 237 8 between between IN cord-004073-k6ad4qgu 237 9 the the DT cord-004073-k6ad4qgu 237 10 NE NE NNP cord-004073-k6ad4qgu 237 11 and and CC cord-004073-k6ad4qgu 237 12 the the DT cord-004073-k6ad4qgu 237 13 social social JJ cord-004073-k6ad4qgu 237 14 optimal optimal JJ cord-004073-k6ad4qgu 237 15 state state NN cord-004073-k6ad4qgu 237 16 . . . cord-004073-k6ad4qgu 238 1 The the DT cord-004073-k6ad4qgu 238 2 dilemma dilemma NN cord-004073-k6ad4qgu 238 3 strength strength NN cord-004073-k6ad4qgu 238 4 [ [ -LRB- cord-004073-k6ad4qgu 238 5 64 64 CD cord-004073-k6ad4qgu 238 6 ] ] -RRB- cord-004073-k6ad4qgu 238 7 [ [ -LRB- cord-004073-k6ad4qgu 238 8 65 65 CD cord-004073-k6ad4qgu 238 9 ] ] -RRB- cord-004073-k6ad4qgu 238 10 [ [ -LRB- cord-004073-k6ad4qgu 238 11 66 66 CD cord-004073-k6ad4qgu 238 12 ] ] -RRB- cord-004073-k6ad4qgu 238 13 , , , cord-004073-k6ad4qgu 238 14 which which WDT cord-004073-k6ad4qgu 238 15 explains explain VBZ cord-004073-k6ad4qgu 238 16 the the DT cord-004073-k6ad4qgu 238 17 dilemma dilemma NN cord-004073-k6ad4qgu 238 18 structure structure NN cord-004073-k6ad4qgu 238 19 in in IN cord-004073-k6ad4qgu 238 20 simple simple JJ cord-004073-k6ad4qgu 238 21 two two CD cord-004073-k6ad4qgu 238 22 - - HYPH cord-004073-k6ad4qgu 238 23 player player NN cord-004073-k6ad4qgu 238 24 and and CC cord-004073-k6ad4qgu 238 25 two two CD cord-004073-k6ad4qgu 238 26 - - HYPH cord-004073-k6ad4qgu 238 27 strategy strategy NN cord-004073-k6ad4qgu 238 28 ( ( -LRB- cord-004073-k6ad4qgu 238 29 2 2 CD cord-004073-k6ad4qgu 238 30 × × NNP cord-004073-k6ad4qgu 238 31 2 2 CD cord-004073-k6ad4qgu 238 32 ) ) -RRB- cord-004073-k6ad4qgu 238 33 games game NNS cord-004073-k6ad4qgu 238 34 , , , cord-004073-k6ad4qgu 238 35 is be VBZ cord-004073-k6ad4qgu 238 36 too too RB cord-004073-k6ad4qgu 238 37 simplistic simplistic JJ cord-004073-k6ad4qgu 238 38 for for IN cord-004073-k6ad4qgu 238 39 realistic realistic JJ cord-004073-k6ad4qgu 238 40 dilemma dilemma NN cord-004073-k6ad4qgu 238 41 games game NNS cord-004073-k6ad4qgu 238 42 with with IN cord-004073-k6ad4qgu 238 43 substantially substantially RB cord-004073-k6ad4qgu 238 44 complex complex JJ cord-004073-k6ad4qgu 238 45 and and CC cord-004073-k6ad4qgu 238 46 time time NN cord-004073-k6ad4qgu 238 47 - - HYPH cord-004073-k6ad4qgu 238 48 dependent dependent JJ cord-004073-k6ad4qgu 238 49 structures structure NNS cord-004073-k6ad4qgu 238 50 , , , cord-004073-k6ad4qgu 238 51 such such JJ cord-004073-k6ad4qgu 238 52 as as IN cord-004073-k6ad4qgu 238 53 vaccination vaccination NN cord-004073-k6ad4qgu 238 54 games game NNS cord-004073-k6ad4qgu 238 55 and and CC cord-004073-k6ad4qgu 238 56 traffic traffic NN cord-004073-k6ad4qgu 238 57 flow flow NN cord-004073-k6ad4qgu 238 58 analysis analysis NN cord-004073-k6ad4qgu 238 59 . . . cord-004073-k6ad4qgu 239 1 However however RB cord-004073-k6ad4qgu 239 2 , , , cord-004073-k6ad4qgu 239 3 SED SED NNP cord-004073-k6ad4qgu 239 4 can can MD cord-004073-k6ad4qgu 239 5 quantify quantify VB cord-004073-k6ad4qgu 239 6 whether whether IN cord-004073-k6ad4qgu 239 7 a a DT cord-004073-k6ad4qgu 239 8 game game NN cord-004073-k6ad4qgu 239 9 intrinsically intrinsically RB cord-004073-k6ad4qgu 239 10 has have VBZ cord-004073-k6ad4qgu 239 11 a a DT cord-004073-k6ad4qgu 239 12 social social JJ cord-004073-k6ad4qgu 239 13 dilemma dilemma NN cord-004073-k6ad4qgu 239 14 or or CC cord-004073-k6ad4qgu 239 15 not not RB cord-004073-k6ad4qgu 239 16 . . . cord-004073-k6ad4qgu 240 1 We -PRON- PRP cord-004073-k6ad4qgu 240 2 applied apply VBD cord-004073-k6ad4qgu 240 3 the the DT cord-004073-k6ad4qgu 240 4 SED sed NN cord-004073-k6ad4qgu 240 5 to to IN cord-004073-k6ad4qgu 240 6 the the DT cord-004073-k6ad4qgu 240 7 present present JJ cord-004073-k6ad4qgu 240 8 social social JJ cord-004073-k6ad4qgu 240 9 dual dual JJ cord-004073-k6ad4qgu 240 10 - - HYPH cord-004073-k6ad4qgu 240 11 dilemma dilemma NN cord-004073-k6ad4qgu 240 12 game game NN cord-004073-k6ad4qgu 240 13 , , , cord-004073-k6ad4qgu 240 14 in in IN cord-004073-k6ad4qgu 240 15 which which WDT cord-004073-k6ad4qgu 240 16 both both DT cord-004073-k6ad4qgu 240 17 vaccination vaccination NN cord-004073-k6ad4qgu 240 18 and and CC cord-004073-k6ad4qgu 240 19 treatment treatment NN cord-004073-k6ad4qgu 240 20 dilemmas dilemma NNS cord-004073-k6ad4qgu 240 21 are be VBP cord-004073-k6ad4qgu 240 22 inevitable inevitable JJ cord-004073-k6ad4qgu 240 23 . . . cord-004073-k6ad4qgu 241 1 Data data NN cord-004073-k6ad4qgu 241 2 accessibility accessibility NN cord-004073-k6ad4qgu 241 3 . . . cord-004073-k6ad4qgu 242 1 This this DT cord-004073-k6ad4qgu 242 2 article article NN cord-004073-k6ad4qgu 242 3 has have VBZ cord-004073-k6ad4qgu 242 4 no no DT cord-004073-k6ad4qgu 242 5 additional additional JJ cord-004073-k6ad4qgu 242 6 data datum NNS cord-004073-k6ad4qgu 242 7 . . . cord-004073-k6ad4qgu 243 1 The the DT cord-004073-k6ad4qgu 243 2 supplementary supplementary JJ cord-004073-k6ad4qgu 243 3 material material NN cord-004073-k6ad4qgu 243 4 provides provide VBZ cord-004073-k6ad4qgu 243 5 the the DT cord-004073-k6ad4qgu 243 6 basic basic JJ cord-004073-k6ad4qgu 243 7 code code NN cord-004073-k6ad4qgu 243 8 of of IN cord-004073-k6ad4qgu 243 9 our -PRON- PRP$ cord-004073-k6ad4qgu 243 10 study study NN cord-004073-k6ad4qgu 243 11 . . . cord-004073-k6ad4qgu 244 1 Fundamental fundamental JJ cord-004073-k6ad4qgu 244 2 of of IN cord-004073-k6ad4qgu 244 3 evolutionary evolutionary JJ cord-004073-k6ad4qgu 244 4 game game NN cord-004073-k6ad4qgu 244 5 theory theory NN cord-004073-k6ad4qgu 244 6 and and CC cord-004073-k6ad4qgu 244 7 its -PRON- PRP$ cord-004073-k6ad4qgu 244 8 applications application NNS cord-004073-k6ad4qgu 244 9 Risk Risk NNP cord-004073-k6ad4qgu 244 10 assessment assessment NN cord-004073-k6ad4qgu 244 11 for for IN cord-004073-k6ad4qgu 244 12 infectious infectious JJ cord-004073-k6ad4qgu 244 13 disease disease NN cord-004073-k6ad4qgu 244 14 and and CC cord-004073-k6ad4qgu 244 15 its -PRON- PRP$ cord-004073-k6ad4qgu 244 16 impact impact NN cord-004073-k6ad4qgu 244 17 on on IN cord-004073-k6ad4qgu 244 18 voluntary voluntary JJ cord-004073-k6ad4qgu 244 19 vaccination vaccination NN cord-004073-k6ad4qgu 244 20 behavior behavior NN cord-004073-k6ad4qgu 244 21 in in IN cord-004073-k6ad4qgu 244 22 social social JJ cord-004073-k6ad4qgu 244 23 network network NN cord-004073-k6ad4qgu 244 24 Imperfect imperfect JJ cord-004073-k6ad4qgu 244 25 vaccine vaccine NN cord-004073-k6ad4qgu 244 26 and and CC cord-004073-k6ad4qgu 244 27 hysteresis hysteresis NN cord-004073-k6ad4qgu 244 28 Dynamical dynamical JJ cord-004073-k6ad4qgu 244 29 behavior behavior NN cord-004073-k6ad4qgu 244 30 of of IN cord-004073-k6ad4qgu 244 31 a a DT cord-004073-k6ad4qgu 244 32 stochastic stochastic JJ cord-004073-k6ad4qgu 244 33 SVIR SVIR NNP cord-004073-k6ad4qgu 244 34 epidemic epidemic NN cord-004073-k6ad4qgu 244 35 model model NN cord-004073-k6ad4qgu 244 36 with with IN cord-004073-k6ad4qgu 244 37 vaccination vaccination NN cord-004073-k6ad4qgu 244 38 Effect effect NN cord-004073-k6ad4qgu 244 39 of of IN cord-004073-k6ad4qgu 244 40 information information NN cord-004073-k6ad4qgu 244 41 spreading spread VBG cord-004073-k6ad4qgu 244 42 to to TO cord-004073-k6ad4qgu 244 43 suppress suppress VB cord-004073-k6ad4qgu 244 44 the the DT cord-004073-k6ad4qgu 244 45 disease disease NN cord-004073-k6ad4qgu 244 46 contagion contagion NN cord-004073-k6ad4qgu 244 47 on on IN cord-004073-k6ad4qgu 244 48 the the DT cord-004073-k6ad4qgu 244 49 epidemic epidemic NN cord-004073-k6ad4qgu 244 50 vaccination vaccination NN cord-004073-k6ad4qgu 244 51 game game NN cord-004073-k6ad4qgu 244 52 Evolutionary evolutionary JJ cord-004073-k6ad4qgu 244 53 vaccination vaccination NN cord-004073-k6ad4qgu 244 54 game game NN cord-004073-k6ad4qgu 244 55 approach approach NN cord-004073-k6ad4qgu 244 56 in in IN cord-004073-k6ad4qgu 244 57 metapopulation metapopulation NN cord-004073-k6ad4qgu 244 58 migration migration NN cord-004073-k6ad4qgu 244 59 model model NN cord-004073-k6ad4qgu 244 60 with with IN cord-004073-k6ad4qgu 244 61 information information NN cord-004073-k6ad4qgu 244 62 spreading spread VBG cord-004073-k6ad4qgu 244 63 on on IN cord-004073-k6ad4qgu 244 64 different different JJ cord-004073-k6ad4qgu 244 65 graphs graph NNS cord-004073-k6ad4qgu 244 66 Impact impact NN cord-004073-k6ad4qgu 244 67 of of IN cord-004073-k6ad4qgu 244 68 imperfect imperfect JJ cord-004073-k6ad4qgu 244 69 vaccination vaccination NN cord-004073-k6ad4qgu 244 70 and and CC cord-004073-k6ad4qgu 244 71 defense defense NN cord-004073-k6ad4qgu 244 72 against against IN cord-004073-k6ad4qgu 244 73 contagion contagion NN cord-004073-k6ad4qgu 244 74 on on IN cord-004073-k6ad4qgu 244 75 vaccination vaccination NN cord-004073-k6ad4qgu 244 76 behavior behavior NN cord-004073-k6ad4qgu 244 77 in in IN cord-004073-k6ad4qgu 244 78 complex complex JJ cord-004073-k6ad4qgu 244 79 networks network NNS cord-004073-k6ad4qgu 244 80 Social social JJ cord-004073-k6ad4qgu 244 81 learning learn VBG cord-004073-k6ad4qgu 244 82 of of IN cord-004073-k6ad4qgu 244 83 prescribing prescribe VBG cord-004073-k6ad4qgu 244 84 behavior behavior NN cord-004073-k6ad4qgu 244 85 can can MD cord-004073-k6ad4qgu 244 86 promote promote VB cord-004073-k6ad4qgu 244 87 population population NN cord-004073-k6ad4qgu 244 88 optimum optimum JJ cord-004073-k6ad4qgu 244 89 of of IN cord-004073-k6ad4qgu 244 90 antibiotic antibiotic JJ cord-004073-k6ad4qgu 244 91 use use NN cord-004073-k6ad4qgu 245 1 Tamiflu Tamiflu NNP cord-004073-k6ad4qgu 245 2 report report NN cord-004073-k6ad4qgu 245 3 comes come VBZ cord-004073-k6ad4qgu 245 4 under under IN cord-004073-k6ad4qgu 245 5 fire fire NN cord-004073-k6ad4qgu 246 1 A a DT cord-004073-k6ad4qgu 246 2 contribution contribution NN cord-004073-k6ad4qgu 246 3 to to IN cord-004073-k6ad4qgu 246 4 the the DT cord-004073-k6ad4qgu 246 5 mathematical mathematical JJ cord-004073-k6ad4qgu 246 6 theory theory NN cord-004073-k6ad4qgu 246 7 of of IN cord-004073-k6ad4qgu 246 8 epidemics epidemic NNS cord-004073-k6ad4qgu 246 9 Dynamics Dynamics NNPS cord-004073-k6ad4qgu 246 10 of of IN cord-004073-k6ad4qgu 246 11 stochastically stochastically RB cord-004073-k6ad4qgu 246 12 perturbed perturb VBN cord-004073-k6ad4qgu 246 13 SIS SIS NNP cord-004073-k6ad4qgu 246 14 epidemic epidemic NN cord-004073-k6ad4qgu 246 15 model model NN cord-004073-k6ad4qgu 246 16 with with IN cord-004073-k6ad4qgu 246 17 vaccination vaccination NN cord-004073-k6ad4qgu 246 18 Dynamic dynamic JJ cord-004073-k6ad4qgu 246 19 behaviors behavior NNS cord-004073-k6ad4qgu 246 20 of of IN cord-004073-k6ad4qgu 246 21 a a DT cord-004073-k6ad4qgu 246 22 modified modify VBN cord-004073-k6ad4qgu 246 23 SIR SIR NNP cord-004073-k6ad4qgu 246 24 model model NN cord-004073-k6ad4qgu 246 25 in in IN cord-004073-k6ad4qgu 246 26 epidemic epidemic NN cord-004073-k6ad4qgu 246 27 diseases disease NNS cord-004073-k6ad4qgu 246 28 using use VBG cord-004073-k6ad4qgu 246 29 nonlinear nonlinear JJ cord-004073-k6ad4qgu 246 30 incidence incidence NN cord-004073-k6ad4qgu 246 31 and and CC cord-004073-k6ad4qgu 246 32 recovery recovery NN cord-004073-k6ad4qgu 246 33 rates rate NNS cord-004073-k6ad4qgu 246 34 Global global JJ cord-004073-k6ad4qgu 246 35 stability stability NN cord-004073-k6ad4qgu 246 36 for for IN cord-004073-k6ad4qgu 246 37 the the DT cord-004073-k6ad4qgu 246 38 SEIR SEIR NNP cord-004073-k6ad4qgu 246 39 model model NN cord-004073-k6ad4qgu 246 40 in in IN cord-004073-k6ad4qgu 246 41 epidemiology epidemiology NN cord-004073-k6ad4qgu 247 1 A a DT cord-004073-k6ad4qgu 247 2 delayed delay VBN cord-004073-k6ad4qgu 247 3 SEIQR SEIQR NNP cord-004073-k6ad4qgu 247 4 epidemic epidemic NN cord-004073-k6ad4qgu 247 5 model model NN cord-004073-k6ad4qgu 247 6 with with IN cord-004073-k6ad4qgu 247 7 pulse pulse NN cord-004073-k6ad4qgu 247 8 vaccination vaccination NN cord-004073-k6ad4qgu 247 9 and and CC cord-004073-k6ad4qgu 247 10 the the DT cord-004073-k6ad4qgu 247 11 quarantine quarantine NN cord-004073-k6ad4qgu 247 12 measure measure NN cord-004073-k6ad4qgu 247 13 Analysis Analysis NNP cord-004073-k6ad4qgu 247 14 of of IN cord-004073-k6ad4qgu 247 15 SIR SIR NNP cord-004073-k6ad4qgu 247 16 epidemic epidemic NN cord-004073-k6ad4qgu 247 17 model model NN cord-004073-k6ad4qgu 247 18 with with IN cord-004073-k6ad4qgu 247 19 information information NN cord-004073-k6ad4qgu 247 20 spreading spread VBG cord-004073-k6ad4qgu 247 21 of of IN cord-004073-k6ad4qgu 247 22 awareness awareness NN cord-004073-k6ad4qgu 247 23 Analysis analysis NN cord-004073-k6ad4qgu 247 24 of of IN cord-004073-k6ad4qgu 247 25 epidemic epidemic NN cord-004073-k6ad4qgu 247 26 outbreaks outbreak NNS cord-004073-k6ad4qgu 247 27 in in IN cord-004073-k6ad4qgu 247 28 two two CD cord-004073-k6ad4qgu 247 29 - - HYPH cord-004073-k6ad4qgu 247 30 layer layer NN cord-004073-k6ad4qgu 247 31 networks network NNS cord-004073-k6ad4qgu 247 32 with with IN cord-004073-k6ad4qgu 247 33 different different JJ cord-004073-k6ad4qgu 247 34 structures structure NNS cord-004073-k6ad4qgu 247 35 for for IN cord-004073-k6ad4qgu 247 36 information information NN cord-004073-k6ad4qgu 247 37 spreading spread VBG cord-004073-k6ad4qgu 247 38 and and CC cord-004073-k6ad4qgu 247 39 disease disease NN cord-004073-k6ad4qgu 247 40 diffusion diffusion NN cord-004073-k6ad4qgu 248 1 A a DT cord-004073-k6ad4qgu 248 2 brief brief JJ cord-004073-k6ad4qgu 248 3 history history NN cord-004073-k6ad4qgu 248 4 of of IN cord-004073-k6ad4qgu 248 5 the the DT cord-004073-k6ad4qgu 248 6 antibiotic antibiotic JJ cord-004073-k6ad4qgu 248 7 era era NN cord-004073-k6ad4qgu 249 1 : : : cord-004073-k6ad4qgu 249 2 lessons lesson NNS cord-004073-k6ad4qgu 249 3 learned learn VBN cord-004073-k6ad4qgu 249 4 and and CC cord-004073-k6ad4qgu 249 5 challenges challenge NNS cord-004073-k6ad4qgu 249 6 for for IN cord-004073-k6ad4qgu 249 7 the the DT cord-004073-k6ad4qgu 249 8 future future JJ cord-004073-k6ad4qgu 249 9 Emergence emergence NN cord-004073-k6ad4qgu 249 10 of of IN cord-004073-k6ad4qgu 249 11 drug drug NN cord-004073-k6ad4qgu 249 12 resistance resistance NN cord-004073-k6ad4qgu 249 13 : : : cord-004073-k6ad4qgu 249 14 implications implication NNS cord-004073-k6ad4qgu 249 15 for for IN cord-004073-k6ad4qgu 249 16 antiviral antiviral JJ cord-004073-k6ad4qgu 249 17 control control NN cord-004073-k6ad4qgu 249 18 of of IN cord-004073-k6ad4qgu 249 19 pandemic pandemic NN cord-004073-k6ad4qgu 249 20 influenza influenza NN cord-004073-k6ad4qgu 249 21 Emergence emergence NN cord-004073-k6ad4qgu 249 22 of of IN cord-004073-k6ad4qgu 249 23 drug drug NN cord-004073-k6ad4qgu 249 24 - - HYPH cord-004073-k6ad4qgu 249 25 resistant resistant JJ cord-004073-k6ad4qgu 249 26 influenza influenza NN cord-004073-k6ad4qgu 249 27 virus virus NN cord-004073-k6ad4qgu 249 28 : : : cord-004073-k6ad4qgu 249 29 population population NN cord-004073-k6ad4qgu 249 30 dynamical dynamical JJ cord-004073-k6ad4qgu 249 31 considerations consideration NNS cord-004073-k6ad4qgu 250 1 A a DT cord-004073-k6ad4qgu 250 2 delay delay NN cord-004073-k6ad4qgu 250 3 differential differential NN cord-004073-k6ad4qgu 250 4 model model NN cord-004073-k6ad4qgu 250 5 for for IN cord-004073-k6ad4qgu 250 6 pandemic pandemic NN cord-004073-k6ad4qgu 250 7 influenza influenza NN cord-004073-k6ad4qgu 250 8 with with IN cord-004073-k6ad4qgu 250 9 antiviral antiviral JJ cord-004073-k6ad4qgu 250 10 treatment treatment NN cord-004073-k6ad4qgu 250 11 A a DT cord-004073-k6ad4qgu 250 12 population population NN cord-004073-k6ad4qgu 250 13 - - HYPH cord-004073-k6ad4qgu 250 14 dynamic dynamic JJ cord-004073-k6ad4qgu 250 15 model model NN cord-004073-k6ad4qgu 250 16 for for IN cord-004073-k6ad4qgu 250 17 evaluating evaluate VBG cord-004073-k6ad4qgu 250 18 the the DT cord-004073-k6ad4qgu 250 19 potential potential JJ cord-004073-k6ad4qgu 250 20 spread spread NN cord-004073-k6ad4qgu 250 21 of of IN cord-004073-k6ad4qgu 250 22 drug drug NN cord-004073-k6ad4qgu 250 23 - - HYPH cord-004073-k6ad4qgu 250 24 resistant resistant JJ cord-004073-k6ad4qgu 250 25 influenza influenza NN cord-004073-k6ad4qgu 250 26 virus virus NN cord-004073-k6ad4qgu 250 27 infections infection NNS cord-004073-k6ad4qgu 250 28 during during IN cord-004073-k6ad4qgu 250 29 community community NN cord-004073-k6ad4qgu 250 30 - - HYPH cord-004073-k6ad4qgu 250 31 based base VBN cord-004073-k6ad4qgu 250 32 use use NN cord-004073-k6ad4qgu 250 33 of of IN cord-004073-k6ad4qgu 250 34 antivirals antiviral NNS cord-004073-k6ad4qgu 250 35 Prophylaxis Prophylaxis NNP cord-004073-k6ad4qgu 250 36 or or CC cord-004073-k6ad4qgu 250 37 treatment treatment NN cord-004073-k6ad4qgu 250 38 ? ? . cord-004073-k6ad4qgu 251 1 Optimal optimal JJ cord-004073-k6ad4qgu 251 2 use use NN cord-004073-k6ad4qgu 251 3 of of IN cord-004073-k6ad4qgu 251 4 an an DT cord-004073-k6ad4qgu 251 5 antiviral antiviral JJ cord-004073-k6ad4qgu 251 6 stockpile stockpile NN cord-004073-k6ad4qgu 251 7 during during IN cord-004073-k6ad4qgu 251 8 an an DT cord-004073-k6ad4qgu 251 9 influenza influenza NN cord-004073-k6ad4qgu 251 10 pandemic pandemic NN cord-004073-k6ad4qgu 251 11 Impact impact NN cord-004073-k6ad4qgu 251 12 of of IN cord-004073-k6ad4qgu 251 13 emerging emerge VBG cord-004073-k6ad4qgu 251 14 antiviral antiviral JJ cord-004073-k6ad4qgu 251 15 drug drug NN cord-004073-k6ad4qgu 251 16 resistance resistance NN cord-004073-k6ad4qgu 251 17 on on IN cord-004073-k6ad4qgu 251 18 influenza influenza NN cord-004073-k6ad4qgu 251 19 containment containment NN cord-004073-k6ad4qgu 251 20 and and CC cord-004073-k6ad4qgu 251 21 spread spread NN cord-004073-k6ad4qgu 251 22 : : : cord-004073-k6ad4qgu 251 23 influence influence NN cord-004073-k6ad4qgu 251 24 of of IN cord-004073-k6ad4qgu 251 25 subclinical subclinical JJ cord-004073-k6ad4qgu 251 26 infection infection NN cord-004073-k6ad4qgu 251 27 and and CC cord-004073-k6ad4qgu 251 28 strategic strategic JJ cord-004073-k6ad4qgu 251 29 use use NN cord-004073-k6ad4qgu 251 30 of of IN cord-004073-k6ad4qgu 251 31 a a DT cord-004073-k6ad4qgu 251 32 stockpile stockpile NN cord-004073-k6ad4qgu 251 33 containing contain VBG cord-004073-k6ad4qgu 251 34 one one CD cord-004073-k6ad4qgu 251 35 or or CC cord-004073-k6ad4qgu 251 36 two two CD cord-004073-k6ad4qgu 251 37 drugs drug NNS cord-004073-k6ad4qgu 251 38 Potential potential JJ cord-004073-k6ad4qgu 251 39 impact impact NN cord-004073-k6ad4qgu 251 40 of of IN cord-004073-k6ad4qgu 251 41 antiviral antiviral JJ cord-004073-k6ad4qgu 251 42 use use NN cord-004073-k6ad4qgu 251 43 during during IN cord-004073-k6ad4qgu 251 44 influenza influenza NN cord-004073-k6ad4qgu 251 45 pandemic pandemic NN cord-004073-k6ad4qgu 251 46 Antiviral antiviral JJ cord-004073-k6ad4qgu 251 47 resistance resistance NN cord-004073-k6ad4qgu 251 48 and and CC cord-004073-k6ad4qgu 251 49 the the DT cord-004073-k6ad4qgu 251 50 control control NN cord-004073-k6ad4qgu 251 51 of of IN cord-004073-k6ad4qgu 251 52 pandemic pandemic NN cord-004073-k6ad4qgu 251 53 influenza influenza NN cord-004073-k6ad4qgu 251 54 Transmission transmission NN cord-004073-k6ad4qgu 251 55 dynamics dynamic NNS cord-004073-k6ad4qgu 251 56 of of IN cord-004073-k6ad4qgu 251 57 an an DT cord-004073-k6ad4qgu 251 58 influenza influenza NN cord-004073-k6ad4qgu 251 59 model model NN cord-004073-k6ad4qgu 251 60 with with IN cord-004073-k6ad4qgu 251 61 vaccination vaccination NN cord-004073-k6ad4qgu 251 62 and and CC cord-004073-k6ad4qgu 251 63 antiviral antiviral JJ cord-004073-k6ad4qgu 251 64 treatment treatment NN cord-004073-k6ad4qgu 251 65 Transmission transmission NN cord-004073-k6ad4qgu 251 66 dynamics dynamic NNS cord-004073-k6ad4qgu 251 67 of of IN cord-004073-k6ad4qgu 251 68 an an DT cord-004073-k6ad4qgu 251 69 influenza influenza NN cord-004073-k6ad4qgu 251 70 model model NN cord-004073-k6ad4qgu 251 71 with with IN cord-004073-k6ad4qgu 251 72 age age NN cord-004073-k6ad4qgu 251 73 of of IN cord-004073-k6ad4qgu 251 74 infection infection NN cord-004073-k6ad4qgu 251 75 and and CC cord-004073-k6ad4qgu 251 76 antiviral antiviral JJ cord-004073-k6ad4qgu 251 77 treatment treatment NN cord-004073-k6ad4qgu 251 78 Modeling model VBG cord-004073-k6ad4qgu 251 79 the the DT cord-004073-k6ad4qgu 251 80 effects effect NNS cord-004073-k6ad4qgu 251 81 of of IN cord-004073-k6ad4qgu 251 82 vaccination vaccination NN cord-004073-k6ad4qgu 251 83 and and CC cord-004073-k6ad4qgu 251 84 treatment treatment NN cord-004073-k6ad4qgu 251 85 on on IN cord-004073-k6ad4qgu 251 86 pandemic pandemic NN cord-004073-k6ad4qgu 251 87 influenza influenza NN cord-004073-k6ad4qgu 251 88 Stability stability NN cord-004073-k6ad4qgu 251 89 and and CC cord-004073-k6ad4qgu 251 90 bifurcation bifurcation NN cord-004073-k6ad4qgu 251 91 of of IN cord-004073-k6ad4qgu 251 92 an an DT cord-004073-k6ad4qgu 251 93 SIVS SIVS NNP cord-004073-k6ad4qgu 251 94 epidemic epidemic NN cord-004073-k6ad4qgu 251 95 model model NN cord-004073-k6ad4qgu 251 96 with with IN cord-004073-k6ad4qgu 251 97 treatment treatment NN cord-004073-k6ad4qgu 251 98 and and CC cord-004073-k6ad4qgu 251 99 age age NN cord-004073-k6ad4qgu 251 100 of of IN cord-004073-k6ad4qgu 251 101 vaccination vaccination NN cord-004073-k6ad4qgu 251 102 Optimal Optimal NNP cord-004073-k6ad4qgu 251 103 strategy strategy NN cord-004073-k6ad4qgu 251 104 of of IN cord-004073-k6ad4qgu 251 105 vaccination vaccination NN cord-004073-k6ad4qgu 251 106 and and CC cord-004073-k6ad4qgu 251 107 treatment treatment NN cord-004073-k6ad4qgu 251 108 in in IN cord-004073-k6ad4qgu 251 109 an an DT cord-004073-k6ad4qgu 251 110 SIR SIR NNP cord-004073-k6ad4qgu 251 111 epidemic epidemic NN cord-004073-k6ad4qgu 251 112 model model NN cord-004073-k6ad4qgu 252 1 Antiviral antiviral JJ cord-004073-k6ad4qgu 252 2 treatment treatment NN cord-004073-k6ad4qgu 252 3 for for IN cord-004073-k6ad4qgu 252 4 pandemic pandemic NN cord-004073-k6ad4qgu 252 5 influenza influenza NN cord-004073-k6ad4qgu 252 6 : : : cord-004073-k6ad4qgu 252 7 assessing assess VBG cord-004073-k6ad4qgu 252 8 potential potential JJ cord-004073-k6ad4qgu 252 9 repercussions repercussion NNS cord-004073-k6ad4qgu 252 10 using use VBG cord-004073-k6ad4qgu 252 11 a a DT cord-004073-k6ad4qgu 252 12 seasonally seasonally RB cord-004073-k6ad4qgu 252 13 forced force VBN cord-004073-k6ad4qgu 252 14 SIR SIR NNP cord-004073-k6ad4qgu 252 15 model model NN cord-004073-k6ad4qgu 252 16 Swarm Swarm NNP cord-004073-k6ad4qgu 252 17 intelligence intelligence NN cord-004073-k6ad4qgu 252 18 inspired inspire VBD cord-004073-k6ad4qgu 252 19 cooperation cooperation NN cord-004073-k6ad4qgu 252 20 promotion promotion NN cord-004073-k6ad4qgu 252 21 and and CC cord-004073-k6ad4qgu 252 22 symmetry symmetry NN cord-004073-k6ad4qgu 252 23 breaking break VBG cord-004073-k6ad4qgu 252 24 in in IN cord-004073-k6ad4qgu 252 25 interdependent interdependent JJ cord-004073-k6ad4qgu 252 26 networked networked JJ cord-004073-k6ad4qgu 252 27 game game NN cord-004073-k6ad4qgu 252 28 /journal /journal . cord-004073-k6ad4qgu 253 1 /rspa /rspa NFP cord-004073-k6ad4qgu 253 2 Proc Proc NNP cord-004073-k6ad4qgu 253 3 . . . cord-004073-k6ad4qgu 254 1 R. R. NNP cord-004073-k6ad4qgu 254 2 Soc Soc NNP cord-004073-k6ad4qgu 254 3 Information Information NNP cord-004073-k6ad4qgu 254 4 cascades cascade VBZ cord-004073-k6ad4qgu 254 5 in in IN cord-004073-k6ad4qgu 254 6 complex complex JJ cord-004073-k6ad4qgu 254 7 networks network NNS cord-004073-k6ad4qgu 254 8 Incorporating incorporate VBG cord-004073-k6ad4qgu 254 9 latent latent JJ cord-004073-k6ad4qgu 254 10 constraints constraint NNS cord-004073-k6ad4qgu 254 11 to to TO cord-004073-k6ad4qgu 254 12 enhance enhance VB cord-004073-k6ad4qgu 254 13 inference inference NN cord-004073-k6ad4qgu 254 14 of of IN cord-004073-k6ad4qgu 254 15 network network NN cord-004073-k6ad4qgu 254 16 structure structure NN cord-004073-k6ad4qgu 254 17 Statistical statistical JJ cord-004073-k6ad4qgu 254 18 physics physics NN cord-004073-k6ad4qgu 254 19 of of IN cord-004073-k6ad4qgu 254 20 vaccination vaccination NN cord-004073-k6ad4qgu 254 21 Vaccination vaccination NN cord-004073-k6ad4qgu 254 22 and and CC cord-004073-k6ad4qgu 254 23 the the DT cord-004073-k6ad4qgu 254 24 theory theory NN cord-004073-k6ad4qgu 254 25 of of IN cord-004073-k6ad4qgu 254 26 games game NNS cord-004073-k6ad4qgu 255 1 Can Can MD cord-004073-k6ad4qgu 255 2 influenza influenza NN cord-004073-k6ad4qgu 255 3 epidemics epidemic NNS cord-004073-k6ad4qgu 255 4 be be VB cord-004073-k6ad4qgu 255 5 prevented prevent VBN cord-004073-k6ad4qgu 255 6 by by IN cord-004073-k6ad4qgu 255 7 voluntary voluntary JJ cord-004073-k6ad4qgu 255 8 vaccination vaccination NN cord-004073-k6ad4qgu 255 9 ? ? . cord-004073-k6ad4qgu 256 1 Three three CD cord-004073-k6ad4qgu 256 2 - - HYPH cord-004073-k6ad4qgu 256 3 strategy strategy NN cord-004073-k6ad4qgu 256 4 and and CC cord-004073-k6ad4qgu 256 5 four four CD cord-004073-k6ad4qgu 256 6 - - HYPH cord-004073-k6ad4qgu 256 7 strategy strategy NN cord-004073-k6ad4qgu 256 8 model model NN cord-004073-k6ad4qgu 256 9 of of IN cord-004073-k6ad4qgu 256 10 vaccination vaccination NN cord-004073-k6ad4qgu 256 11 game game NN cord-004073-k6ad4qgu 256 12 introducing introduce VBG cord-004073-k6ad4qgu 256 13 an an DT cord-004073-k6ad4qgu 256 14 intermediate intermediate JJ cord-004073-k6ad4qgu 256 15 protecting protect VBG cord-004073-k6ad4qgu 256 16 measure measure NN cord-004073-k6ad4qgu 256 17 To to TO cord-004073-k6ad4qgu 256 18 vaccinate vaccinate VB cord-004073-k6ad4qgu 256 19 or or CC cord-004073-k6ad4qgu 256 20 not not RB cord-004073-k6ad4qgu 256 21 to to TO cord-004073-k6ad4qgu 256 22 vaccinate vaccinate VB cord-004073-k6ad4qgu 256 23 : : : cord-004073-k6ad4qgu 256 24 a a DT cord-004073-k6ad4qgu 256 25 comprehensive comprehensive JJ cord-004073-k6ad4qgu 256 26 study study NN cord-004073-k6ad4qgu 256 27 of of IN cord-004073-k6ad4qgu 256 28 vaccination vaccination NN cord-004073-k6ad4qgu 256 29 - - HYPH cord-004073-k6ad4qgu 256 30 subsidizing subsidize VBG cord-004073-k6ad4qgu 256 31 policies policy NNS cord-004073-k6ad4qgu 256 32 with with IN cord-004073-k6ad4qgu 256 33 multi multi JJ cord-004073-k6ad4qgu 256 34 - - JJ cord-004073-k6ad4qgu 256 35 agent agent JJ cord-004073-k6ad4qgu 256 36 simulations simulation NNS cord-004073-k6ad4qgu 256 37 and and CC cord-004073-k6ad4qgu 256 38 mean mean JJ cord-004073-k6ad4qgu 256 39 - - HYPH cord-004073-k6ad4qgu 256 40 field field NN cord-004073-k6ad4qgu 256 41 modeling modeling NN cord-004073-k6ad4qgu 256 42 Influence influence NN cord-004073-k6ad4qgu 256 43 of of IN cord-004073-k6ad4qgu 256 44 breaking break VBG cord-004073-k6ad4qgu 256 45 the the DT cord-004073-k6ad4qgu 256 46 symmetry symmetry NN cord-004073-k6ad4qgu 256 47 between between IN cord-004073-k6ad4qgu 256 48 disease disease NN cord-004073-k6ad4qgu 256 49 transmission transmission NN cord-004073-k6ad4qgu 256 50 and and CC cord-004073-k6ad4qgu 256 51 information information NN cord-004073-k6ad4qgu 256 52 propagation propagation NN cord-004073-k6ad4qgu 256 53 networks network NNS cord-004073-k6ad4qgu 256 54 on on IN cord-004073-k6ad4qgu 256 55 stepwise stepwise JJ cord-004073-k6ad4qgu 256 56 decisions decision NNS cord-004073-k6ad4qgu 256 57 concerning concern VBG cord-004073-k6ad4qgu 256 58 vaccination vaccination NN cord-004073-k6ad4qgu 256 59 Investigation investigation NN cord-004073-k6ad4qgu 256 60 of of IN cord-004073-k6ad4qgu 256 61 epidemic epidemic NN cord-004073-k6ad4qgu 256 62 spreading spread VBG cord-004073-k6ad4qgu 256 63 process process NN cord-004073-k6ad4qgu 256 64 on on IN cord-004073-k6ad4qgu 256 65 multiplex multiplex JJ cord-004073-k6ad4qgu 256 66 networks network NNS cord-004073-k6ad4qgu 256 67 by by IN cord-004073-k6ad4qgu 256 68 incorporating incorporate VBG cord-004073-k6ad4qgu 256 69 fatal fatal JJ cord-004073-k6ad4qgu 256 70 properties property NNS cord-004073-k6ad4qgu 256 71 Suppression suppression NN cord-004073-k6ad4qgu 256 72 of of IN cord-004073-k6ad4qgu 256 73 epidemic epidemic NN cord-004073-k6ad4qgu 256 74 spreading spread VBG cord-004073-k6ad4qgu 256 75 process process NN cord-004073-k6ad4qgu 256 76 on on IN cord-004073-k6ad4qgu 256 77 multiplex multiplex JJ cord-004073-k6ad4qgu 256 78 networks network NNS cord-004073-k6ad4qgu 256 79 via via IN cord-004073-k6ad4qgu 256 80 active active JJ cord-004073-k6ad4qgu 256 81 immunization immunization NN cord-004073-k6ad4qgu 257 1 Discerning discern VBG cord-004073-k6ad4qgu 257 2 influential influential JJ cord-004073-k6ad4qgu 257 3 spreaders spreader NNS cord-004073-k6ad4qgu 257 4 in in IN cord-004073-k6ad4qgu 257 5 complex complex JJ cord-004073-k6ad4qgu 257 6 networks network NNS cord-004073-k6ad4qgu 257 7 by by IN cord-004073-k6ad4qgu 257 8 accounting account VBG cord-004073-k6ad4qgu 257 9 the the DT cord-004073-k6ad4qgu 257 10 spreading spread VBG cord-004073-k6ad4qgu 257 11 heterogeneity heterogeneity NN cord-004073-k6ad4qgu 257 12 of of IN cord-004073-k6ad4qgu 257 13 the the DT cord-004073-k6ad4qgu 257 14 nodes node NNS cord-004073-k6ad4qgu 257 15 Coevolution Coevolution NNP cord-004073-k6ad4qgu 257 16 of of IN cord-004073-k6ad4qgu 257 17 vaccination vaccination NN cord-004073-k6ad4qgu 257 18 opinions opinion NNS cord-004073-k6ad4qgu 257 19 and and CC cord-004073-k6ad4qgu 257 20 awareness awareness NN cord-004073-k6ad4qgu 257 21 affecting affect VBG cord-004073-k6ad4qgu 257 22 the the DT cord-004073-k6ad4qgu 257 23 spread spread NN cord-004073-k6ad4qgu 257 24 of of IN cord-004073-k6ad4qgu 257 25 epidemics epidemic NNS cord-004073-k6ad4qgu 257 26 Virus Virus NNP cord-004073-k6ad4qgu 257 27 propagation propagation NN cord-004073-k6ad4qgu 257 28 and and CC cord-004073-k6ad4qgu 257 29 patch patch NN cord-004073-k6ad4qgu 257 30 distribution distribution NN cord-004073-k6ad4qgu 257 31 in in IN cord-004073-k6ad4qgu 257 32 multiplex multiplex NN cord-004073-k6ad4qgu 257 33 networks network NNS cord-004073-k6ad4qgu 257 34 : : : cord-004073-k6ad4qgu 257 35 modeling modeling NN cord-004073-k6ad4qgu 257 36 , , , cord-004073-k6ad4qgu 257 37 analysis analysis NN cord-004073-k6ad4qgu 257 38 , , , cord-004073-k6ad4qgu 257 39 and and CC cord-004073-k6ad4qgu 257 40 optimal optimal JJ cord-004073-k6ad4qgu 257 41 allocation allocation NN cord-004073-k6ad4qgu 257 42 Community community NN cord-004073-k6ad4qgu 257 43 detection detection NN cord-004073-k6ad4qgu 257 44 in in IN cord-004073-k6ad4qgu 257 45 temporal temporal JJ cord-004073-k6ad4qgu 257 46 networks network NNS cord-004073-k6ad4qgu 257 47 via via IN cord-004073-k6ad4qgu 257 48 a a DT cord-004073-k6ad4qgu 257 49 spreading spreading NN cord-004073-k6ad4qgu 257 50 process process NN cord-004073-k6ad4qgu 258 1 Coupled coupled JJ cord-004073-k6ad4qgu 258 2 disease disease NN cord-004073-k6ad4qgu 258 3 - - HYPH cord-004073-k6ad4qgu 258 4 behavior behavior NN cord-004073-k6ad4qgu 258 5 dynamics dynamic NNS cord-004073-k6ad4qgu 258 6 on on IN cord-004073-k6ad4qgu 258 7 complex complex JJ cord-004073-k6ad4qgu 258 8 networks network NNS cord-004073-k6ad4qgu 258 9 : : : cord-004073-k6ad4qgu 258 10 a a DT cord-004073-k6ad4qgu 258 11 review review NN cord-004073-k6ad4qgu 258 12 Effects effect NNS cord-004073-k6ad4qgu 258 13 of of IN cord-004073-k6ad4qgu 258 14 stubborn stubborn JJ cord-004073-k6ad4qgu 258 15 decision decision NN cord-004073-k6ad4qgu 258 16 - - HYPH cord-004073-k6ad4qgu 258 17 makers maker NNS cord-004073-k6ad4qgu 258 18 on on IN cord-004073-k6ad4qgu 258 19 vaccination vaccination NN cord-004073-k6ad4qgu 258 20 and and CC cord-004073-k6ad4qgu 258 21 disease disease NN cord-004073-k6ad4qgu 258 22 propagation propagation NN cord-004073-k6ad4qgu 258 23 in in IN cord-004073-k6ad4qgu 258 24 social social JJ cord-004073-k6ad4qgu 258 25 network network NN cord-004073-k6ad4qgu 258 26 Effect effect NN cord-004073-k6ad4qgu 258 27 of of IN cord-004073-k6ad4qgu 258 28 noise noise NN cord-004073-k6ad4qgu 258 29 - - HYPH cord-004073-k6ad4qgu 258 30 perturbing perturb VBG cord-004073-k6ad4qgu 258 31 intermediate intermediate JJ cord-004073-k6ad4qgu 258 32 defense defense NN cord-004073-k6ad4qgu 258 33 measures measure NNS cord-004073-k6ad4qgu 258 34 in in IN cord-004073-k6ad4qgu 258 35 voluntary voluntary JJ cord-004073-k6ad4qgu 258 36 vaccination vaccination NN cord-004073-k6ad4qgu 258 37 games game NNS cord-004073-k6ad4qgu 258 38 Realistic realistic JJ cord-004073-k6ad4qgu 258 39 decision decision NN cord-004073-k6ad4qgu 258 40 - - HYPH cord-004073-k6ad4qgu 258 41 making make VBG cord-004073-k6ad4qgu 258 42 processes process NNS cord-004073-k6ad4qgu 258 43 in in IN cord-004073-k6ad4qgu 258 44 a a DT cord-004073-k6ad4qgu 258 45 vaccination vaccination NN cord-004073-k6ad4qgu 258 46 game game NN cord-004073-k6ad4qgu 258 47 Effect effect NN cord-004073-k6ad4qgu 258 48 of of IN cord-004073-k6ad4qgu 258 49 intermediate intermediate JJ cord-004073-k6ad4qgu 258 50 defense defense NN cord-004073-k6ad4qgu 258 51 measures measure NNS cord-004073-k6ad4qgu 258 52 in in IN cord-004073-k6ad4qgu 258 53 voluntary voluntary JJ cord-004073-k6ad4qgu 258 54 vaccination vaccination NN cord-004073-k6ad4qgu 258 55 games game NNS cord-004073-k6ad4qgu 258 56 Which which WDT cord-004073-k6ad4qgu 258 57 is be VBZ cord-004073-k6ad4qgu 258 58 more more RBR cord-004073-k6ad4qgu 258 59 effective effective JJ cord-004073-k6ad4qgu 258 60 for for IN cord-004073-k6ad4qgu 258 61 suppressing suppress VBG cord-004073-k6ad4qgu 258 62 an an DT cord-004073-k6ad4qgu 258 63 infectious infectious JJ cord-004073-k6ad4qgu 258 64 disease disease NN cord-004073-k6ad4qgu 258 65 : : : cord-004073-k6ad4qgu 258 66 imperfect imperfect JJ cord-004073-k6ad4qgu 258 67 vaccination vaccination NN cord-004073-k6ad4qgu 258 68 or or CC cord-004073-k6ad4qgu 258 69 defense defense NN cord-004073-k6ad4qgu 258 70 against against IN cord-004073-k6ad4qgu 258 71 contagion contagion NN cord-004073-k6ad4qgu 258 72 ? ? . cord-004073-k6ad4qgu 259 1 Dynamical dynamical JJ cord-004073-k6ad4qgu 259 2 behaviors behavior NNS cord-004073-k6ad4qgu 259 3 for for IN cord-004073-k6ad4qgu 259 4 vaccination vaccination NN cord-004073-k6ad4qgu 259 5 can can MD cord-004073-k6ad4qgu 259 6 suppress suppress VB cord-004073-k6ad4qgu 259 7 infectious infectious JJ cord-004073-k6ad4qgu 259 8 disease disease NN cord-004073-k6ad4qgu 259 9 - - : cord-004073-k6ad4qgu 259 10 a a DT cord-004073-k6ad4qgu 259 11 game game NN cord-004073-k6ad4qgu 259 12 theoretical theoretical JJ cord-004073-k6ad4qgu 259 13 approach approach NN cord-004073-k6ad4qgu 259 14 Oseltamivir Oseltamivir NNP cord-004073-k6ad4qgu 259 15 - - HYPH cord-004073-k6ad4qgu 259 16 resistant resistant JJ cord-004073-k6ad4qgu 259 17 influenza influenza NN cord-004073-k6ad4qgu 259 18 A a DT cord-004073-k6ad4qgu 259 19 viruses virus NNS cord-004073-k6ad4qgu 259 20 circulating circulate VBG cord-004073-k6ad4qgu 259 21 in in IN cord-004073-k6ad4qgu 259 22 Japan Japan NNP cord-004073-k6ad4qgu 259 23 Dilemma Dilemma NNP cord-004073-k6ad4qgu 259 24 game game NN cord-004073-k6ad4qgu 259 25 structure structure NN cord-004073-k6ad4qgu 259 26 observed observe VBD cord-004073-k6ad4qgu 259 27 in in IN cord-004073-k6ad4qgu 259 28 traffic traffic NN cord-004073-k6ad4qgu 259 29 flow flow NN cord-004073-k6ad4qgu 259 30 at at IN cord-004073-k6ad4qgu 259 31 a a DT cord-004073-k6ad4qgu 259 32 2-to-1 2-to-1 JJ cord-004073-k6ad4qgu 259 33 lane lane NN cord-004073-k6ad4qgu 259 34 junction junction NN cord-004073-k6ad4qgu 259 35 Dilemma Dilemma NNP cord-004073-k6ad4qgu 259 36 game game NN cord-004073-k6ad4qgu 259 37 structure structure NN cord-004073-k6ad4qgu 259 38 hidden hide VBN cord-004073-k6ad4qgu 259 39 in in IN cord-004073-k6ad4qgu 259 40 traffic traffic NN cord-004073-k6ad4qgu 259 41 flow flow NN cord-004073-k6ad4qgu 259 42 at at IN cord-004073-k6ad4qgu 259 43 a a DT cord-004073-k6ad4qgu 259 44 bottleneck bottleneck NN cord-004073-k6ad4qgu 259 45 due due IN cord-004073-k6ad4qgu 259 46 to to IN cord-004073-k6ad4qgu 259 47 a a DT cord-004073-k6ad4qgu 259 48 2 2 CD cord-004073-k6ad4qgu 259 49 into into IN cord-004073-k6ad4qgu 259 50 1 1 CD cord-004073-k6ad4qgu 259 51 lane lane NN cord-004073-k6ad4qgu 259 52 junction junction NN cord-004073-k6ad4qgu 259 53 /journal /journal NNP cord-004073-k6ad4qgu 259 54 / / SYM cord-004073-k6ad4qgu 259 55 rspa rspa NNP cord-004073-k6ad4qgu 259 56 Proc Proc NNP cord-004073-k6ad4qgu 259 57 . . . cord-004073-k6ad4qgu 260 1 R. R. NNP cord-004073-k6ad4qgu 260 2 Soc Soc NNP cord-004073-k6ad4qgu 260 3 Dangerous Dangerous NNP cord-004073-k6ad4qgu 260 4 drivers driver NNS cord-004073-k6ad4qgu 260 5 foster foster JJ cord-004073-k6ad4qgu 260 6 social social JJ cord-004073-k6ad4qgu 260 7 dilemma dilemma NN cord-004073-k6ad4qgu 260 8 structures structure NNS cord-004073-k6ad4qgu 260 9 hidden hide VBN cord-004073-k6ad4qgu 260 10 behind behind IN cord-004073-k6ad4qgu 260 11 a a DT cord-004073-k6ad4qgu 260 12 traffic traffic NN cord-004073-k6ad4qgu 260 13 flow flow NN cord-004073-k6ad4qgu 260 14 with with IN cord-004073-k6ad4qgu 260 15 lane lane NN cord-004073-k6ad4qgu 260 16 changes change VBZ cord-004073-k6ad4qgu 260 17 Social social JJ cord-004073-k6ad4qgu 260 18 dilemma dilemma NN cord-004073-k6ad4qgu 260 19 structures structure NNS cord-004073-k6ad4qgu 260 20 hidden hide VBN cord-004073-k6ad4qgu 260 21 behind behind IN cord-004073-k6ad4qgu 260 22 a a DT cord-004073-k6ad4qgu 260 23 traffic traffic NN cord-004073-k6ad4qgu 260 24 flow flow NN cord-004073-k6ad4qgu 260 25 with with IN cord-004073-k6ad4qgu 260 26 lane lane NN cord-004073-k6ad4qgu 260 27 changes change VBZ cord-004073-k6ad4qgu 260 28 Social Social NNP cord-004073-k6ad4qgu 260 29 dilemma dilemma NN cord-004073-k6ad4qgu 260 30 structure structure NN cord-004073-k6ad4qgu 260 31 hidden hide VBN cord-004073-k6ad4qgu 260 32 behind behind IN cord-004073-k6ad4qgu 260 33 traffic traffic NN cord-004073-k6ad4qgu 260 34 flow flow NN cord-004073-k6ad4qgu 260 35 with with IN cord-004073-k6ad4qgu 260 36 route route NN cord-004073-k6ad4qgu 260 37 selection selection NN cord-004073-k6ad4qgu 260 38 Complex complex JJ cord-004073-k6ad4qgu 260 39 traffic traffic NN cord-004073-k6ad4qgu 260 40 flow flow NN cord-004073-k6ad4qgu 260 41 that that WDT cord-004073-k6ad4qgu 260 42 allows allow VBZ cord-004073-k6ad4qgu 260 43 lane lane NN cord-004073-k6ad4qgu 260 44 - - HYPH cord-004073-k6ad4qgu 260 45 changing change VBG cord-004073-k6ad4qgu 260 46 and and CC cord-004073-k6ad4qgu 260 47 hampering hamper VBG cord-004073-k6ad4qgu 260 48 intrinsically intrinsically RB cord-004073-k6ad4qgu 260 49 contains contain VBZ cord-004073-k6ad4qgu 260 50 social social JJ cord-004073-k6ad4qgu 260 51 - - HYPH cord-004073-k6ad4qgu 260 52 dilemma dilemma NN cord-004073-k6ad4qgu 260 53 structures structure NNS cord-004073-k6ad4qgu 260 54 Improvement improvement NN cord-004073-k6ad4qgu 260 55 of of IN cord-004073-k6ad4qgu 260 56 traffic traffic NN cord-004073-k6ad4qgu 260 57 flux flux NN cord-004073-k6ad4qgu 260 58 with with IN cord-004073-k6ad4qgu 260 59 introduction introduction NN cord-004073-k6ad4qgu 260 60 of of IN cord-004073-k6ad4qgu 260 61 a a DT cord-004073-k6ad4qgu 260 62 new new JJ cord-004073-k6ad4qgu 260 63 lane lane NN cord-004073-k6ad4qgu 260 64 - - HYPH cord-004073-k6ad4qgu 260 65 change change NN cord-004073-k6ad4qgu 260 66 protocol protocol NN cord-004073-k6ad4qgu 260 67 supported support VBN cord-004073-k6ad4qgu 260 68 by by IN cord-004073-k6ad4qgu 260 69 intelligent intelligent JJ cord-004073-k6ad4qgu 260 70 traffic traffic NN cord-004073-k6ad4qgu 260 71 system system NN cord-004073-k6ad4qgu 261 1 Localized localized JJ cord-004073-k6ad4qgu 261 2 prosocial prosocial JJ cord-004073-k6ad4qgu 261 3 preferences preference NNS cord-004073-k6ad4qgu 261 4 , , , cord-004073-k6ad4qgu 261 5 public public JJ cord-004073-k6ad4qgu 261 6 goods good NNS cord-004073-k6ad4qgu 261 7 , , , cord-004073-k6ad4qgu 261 8 and and CC cord-004073-k6ad4qgu 261 9 common common JJ cord-004073-k6ad4qgu 261 10 - - HYPH cord-004073-k6ad4qgu 261 11 pool pool NN cord-004073-k6ad4qgu 261 12 resources resource NNS cord-004073-k6ad4qgu 261 13 Relationship relationship NN cord-004073-k6ad4qgu 261 14 between between IN cord-004073-k6ad4qgu 261 15 dilemma dilemma NN cord-004073-k6ad4qgu 261 16 occurrence occurrence NN cord-004073-k6ad4qgu 261 17 and and CC cord-004073-k6ad4qgu 261 18 the the DT cord-004073-k6ad4qgu 261 19 existence existence NN cord-004073-k6ad4qgu 261 20 of of IN cord-004073-k6ad4qgu 261 21 a a DT cord-004073-k6ad4qgu 261 22 weakly weakly RB cord-004073-k6ad4qgu 261 23 dominant dominant JJ cord-004073-k6ad4qgu 261 24 strategy strategy NN cord-004073-k6ad4qgu 261 25 in in IN cord-004073-k6ad4qgu 261 26 a a DT cord-004073-k6ad4qgu 261 27 two two CD cord-004073-k6ad4qgu 261 28 - - HYPH cord-004073-k6ad4qgu 261 29 player player NN cord-004073-k6ad4qgu 261 30 symmetric symmetric JJ cord-004073-k6ad4qgu 261 31 game game NN cord-004073-k6ad4qgu 261 32 Universal Universal NNP cord-004073-k6ad4qgu 261 33 scaling scaling NN cord-004073-k6ad4qgu 261 34 for for IN cord-004073-k6ad4qgu 261 35 the the DT cord-004073-k6ad4qgu 261 36 dilemma dilemma NN cord-004073-k6ad4qgu 261 37 strength strength NN cord-004073-k6ad4qgu 261 38 in in IN cord-004073-k6ad4qgu 261 39 evolutionary evolutionary JJ cord-004073-k6ad4qgu 261 40 games game NNS cord-004073-k6ad4qgu 261 41 Scaling scale VBG cord-004073-k6ad4qgu 261 42 the the DT cord-004073-k6ad4qgu 261 43 phase phase NN cord-004073-k6ad4qgu 261 44 - - HYPH cord-004073-k6ad4qgu 261 45 planes plane NNS cord-004073-k6ad4qgu 261 46 of of IN cord-004073-k6ad4qgu 261 47 social social JJ cord-004073-k6ad4qgu 261 48 dilemma dilemma NN cord-004073-k6ad4qgu 261 49 strengths strength NNS cord-004073-k6ad4qgu 261 50 shows show VBZ cord-004073-k6ad4qgu 261 51 gameclass gameclass NNP cord-004073-k6ad4qgu 261 52 changes change NNS cord-004073-k6ad4qgu 261 53 in in IN cord-004073-k6ad4qgu 261 54 the the DT cord-004073-k6ad4qgu 261 55 five five CD cord-004073-k6ad4qgu 261 56 rules rule NNS cord-004073-k6ad4qgu 261 57 governing govern VBG cord-004073-k6ad4qgu 261 58 the the DT cord-004073-k6ad4qgu 261 59 evolution evolution NN cord-004073-k6ad4qgu 261 60 of of IN cord-004073-k6ad4qgu 261 61 cooperation cooperation NN cord-004073-k6ad4qgu 261 62 Acknowledgements acknowledgement NNS cord-004073-k6ad4qgu 261 63 . . . cord-004073-k6ad4qgu 262 1 We -PRON- PRP cord-004073-k6ad4qgu 262 2 would would MD cord-004073-k6ad4qgu 262 3 like like VB cord-004073-k6ad4qgu 262 4 to to TO cord-004073-k6ad4qgu 262 5 express express VB cord-004073-k6ad4qgu 262 6 our -PRON- PRP$ cord-004073-k6ad4qgu 262 7 gratitude gratitude NN cord-004073-k6ad4qgu 262 8 to to IN cord-004073-k6ad4qgu 262 9 the the DT cord-004073-k6ad4qgu 262 10 funders funder NNS cord-004073-k6ad4qgu 262 11 . . .