id sid tid token lemma pos cord-275814-seirbkiq 1 1 key key NN cord-275814-seirbkiq 1 2 : : : cord-275814-seirbkiq 2 1 cord-275814-seirbkiq cord-275814-seirbkiq . cord-275814-seirbkiq 3 1 authors author NNS cord-275814-seirbkiq 3 2 : : : cord-275814-seirbkiq 3 3 Tuncer Tuncer NNP cord-275814-seirbkiq 3 4 , , , cord-275814-seirbkiq 3 5 Necibe Necibe NNP cord-275814-seirbkiq 3 6 ; ; : cord-275814-seirbkiq 3 7 Le Le NNP cord-275814-seirbkiq 3 8 , , , cord-275814-seirbkiq 3 9 Trang Trang NNP cord-275814-seirbkiq 3 10 title title NN cord-275814-seirbkiq 3 11 : : : cord-275814-seirbkiq 3 12 Effect effect NN cord-275814-seirbkiq 3 13 of of IN cord-275814-seirbkiq 3 14 air air NN cord-275814-seirbkiq 3 15 travel travel NN cord-275814-seirbkiq 3 16 on on IN cord-275814-seirbkiq 3 17 the the DT cord-275814-seirbkiq 3 18 spread spread NN cord-275814-seirbkiq 3 19 of of IN cord-275814-seirbkiq 3 20 an an DT cord-275814-seirbkiq 3 21 avian avian JJ cord-275814-seirbkiq 3 22 influenza influenza NN cord-275814-seirbkiq 3 23 pandemic pandemic NN cord-275814-seirbkiq 3 24 to to IN cord-275814-seirbkiq 3 25 the the DT cord-275814-seirbkiq 3 26 United United NNP cord-275814-seirbkiq 3 27 States States NNP cord-275814-seirbkiq 3 28 date date NN cord-275814-seirbkiq 3 29 : : : cord-275814-seirbkiq 3 30 2014 2014 CD cord-275814-seirbkiq 3 31 - - HYPH cord-275814-seirbkiq 3 32 03 03 CD cord-275814-seirbkiq 3 33 - - HYPH cord-275814-seirbkiq 3 34 31 31 CD cord-275814-seirbkiq 3 35 journal journal NN cord-275814-seirbkiq 3 36 : : : cord-275814-seirbkiq 3 37 International International NNP cord-275814-seirbkiq 3 38 Journal Journal NNP cord-275814-seirbkiq 3 39 of of IN cord-275814-seirbkiq 3 40 Critical Critical NNP cord-275814-seirbkiq 3 41 Infrastructure Infrastructure NNP cord-275814-seirbkiq 3 42 Protection Protection NNP cord-275814-seirbkiq 3 43 DOI DOI NNP cord-275814-seirbkiq 3 44 : : : cord-275814-seirbkiq 3 45 10.1016 10.1016 CD cord-275814-seirbkiq 3 46 / / SYM cord-275814-seirbkiq 3 47 j.ijcip.2014.02.001 j.ijcip.2014.02.001 NNP cord-275814-seirbkiq 3 48 sha sha NNP cord-275814-seirbkiq 3 49 : : : cord-275814-seirbkiq 3 50 44214fe541292ce06126fd3af6506c7ded13cc0d 44214fe541292ce06126fd3af6506c7ded13cc0d CD cord-275814-seirbkiq 3 51 doc_id doc_id CD cord-275814-seirbkiq 3 52 : : : cord-275814-seirbkiq 3 53 275814 275814 CD cord-275814-seirbkiq 3 54 cord_uid cord_uid NNS cord-275814-seirbkiq 3 55 : : : cord-275814-seirbkiq 4 1 seirbkiq seirbkiq NNP cord-275814-seirbkiq 4 2 Abstract Abstract NNP cord-275814-seirbkiq 5 1 The the DT cord-275814-seirbkiq 5 2 highly highly RB cord-275814-seirbkiq 5 3 pathogenic pathogenic JJ cord-275814-seirbkiq 5 4 avian avian JJ cord-275814-seirbkiq 5 5 influenza influenza NN cord-275814-seirbkiq 5 6 ( ( -LRB- cord-275814-seirbkiq 5 7 HPAI HPAI NNP cord-275814-seirbkiq 5 8 ) ) -RRB- cord-275814-seirbkiq 5 9 strain strain VBP cord-275814-seirbkiq 5 10 H5N1 H5N1 NNP cord-275814-seirbkiq 5 11 , , , cord-275814-seirbkiq 5 12 which which WDT cord-275814-seirbkiq 5 13 first first RB cord-275814-seirbkiq 5 14 appeared appear VBD cord-275814-seirbkiq 5 15 in in IN cord-275814-seirbkiq 5 16 Hong Hong NNP cord-275814-seirbkiq 5 17 Kong Kong NNP cord-275814-seirbkiq 5 18 in in IN cord-275814-seirbkiq 5 19 1997 1997 CD cord-275814-seirbkiq 5 20 , , , cord-275814-seirbkiq 5 21 achieved achieve VBN cord-275814-seirbkiq 5 22 bird bird NN cord-275814-seirbkiq 5 23 - - HYPH cord-275814-seirbkiq 5 24 to to IN cord-275814-seirbkiq 5 25 - - HYPH cord-275814-seirbkiq 5 26 human human JJ cord-275814-seirbkiq 5 27 transmission transmission NN cord-275814-seirbkiq 5 28 , , , cord-275814-seirbkiq 5 29 causing cause VBG cord-275814-seirbkiq 5 30 a a DT cord-275814-seirbkiq 5 31 severe severe JJ cord-275814-seirbkiq 5 32 disease disease NN cord-275814-seirbkiq 5 33 with with IN cord-275814-seirbkiq 5 34 high high JJ cord-275814-seirbkiq 5 35 mortality mortality NN cord-275814-seirbkiq 5 36 to to IN cord-275814-seirbkiq 5 37 humans human NNS cord-275814-seirbkiq 5 38 [ [ -LRB- cord-275814-seirbkiq 5 39 18 18 CD cord-275814-seirbkiq 5 40 ] ] -RRB- cord-275814-seirbkiq 5 41 . . . cord-275814-seirbkiq 6 1 According accord VBG cord-275814-seirbkiq 6 2 to to IN cord-275814-seirbkiq 6 3 the the DT cord-275814-seirbkiq 6 4 World World NNP cord-275814-seirbkiq 6 5 Health Health NNP cord-275814-seirbkiq 6 6 Organization Organization NNP cord-275814-seirbkiq 6 7 ( ( -LRB- cord-275814-seirbkiq 6 8 WHO who WP cord-275814-seirbkiq 6 9 ) ) -RRB- cord-275814-seirbkiq 6 10 , , , cord-275814-seirbkiq 6 11 a a DT cord-275814-seirbkiq 6 12 total total NN cord-275814-seirbkiq 6 13 of of IN cord-275814-seirbkiq 6 14 637 637 CD cord-275814-seirbkiq 6 15 cases case NNS cord-275814-seirbkiq 6 16 were be VBD cord-275814-seirbkiq 6 17 reported report VBN cord-275814-seirbkiq 6 18 in in IN cord-275814-seirbkiq 6 19 fifteen fifteen CD cord-275814-seirbkiq 6 20 countries country NNS cord-275814-seirbkiq 6 21 , , , cord-275814-seirbkiq 6 22 including include VBG cord-275814-seirbkiq 6 23 378 378 CD cord-275814-seirbkiq 6 24 deaths death NNS cord-275814-seirbkiq 6 25 , , , cord-275814-seirbkiq 6 26 corresponding correspond VBG cord-275814-seirbkiq 6 27 to to IN cord-275814-seirbkiq 6 28 a a DT cord-275814-seirbkiq 6 29 case case NN cord-275814-seirbkiq 6 30 fatality fatality NN cord-275814-seirbkiq 6 31 rate rate NN cord-275814-seirbkiq 6 32 of of IN cord-275814-seirbkiq 6 33 nearly nearly RB cord-275814-seirbkiq 6 34 60 60 CD cord-275814-seirbkiq 6 35 % % NN cord-275814-seirbkiq 6 36 [ [ -LRB- cord-275814-seirbkiq 6 37 19 19 CD cord-275814-seirbkiq 6 38 ] ] -RRB- cord-275814-seirbkiq 6 39 . . . cord-275814-seirbkiq 7 1 Avian avian JJ cord-275814-seirbkiq 7 2 influenza influenza NN cord-275814-seirbkiq 7 3 continues continue VBZ cord-275814-seirbkiq 7 4 to to TO cord-275814-seirbkiq 7 5 be be VB cord-275814-seirbkiq 7 6 one one CD cord-275814-seirbkiq 7 7 of of IN cord-275814-seirbkiq 7 8 the the DT cord-275814-seirbkiq 7 9 deadliest deadly JJS cord-275814-seirbkiq 7 10 diseases disease NNS cord-275814-seirbkiq 7 11 that that WDT cord-275814-seirbkiq 7 12 jumps jump VBZ cord-275814-seirbkiq 7 13 from from IN cord-275814-seirbkiq 7 14 animals animal NNS cord-275814-seirbkiq 7 15 to to IN cord-275814-seirbkiq 7 16 humans human NNS cord-275814-seirbkiq 7 17 . . . cord-275814-seirbkiq 8 1 Epidemiologists epidemiologist NNS cord-275814-seirbkiq 8 2 believe believe VBP cord-275814-seirbkiq 8 3 that that IN cord-275814-seirbkiq 8 4 it -PRON- PRP cord-275814-seirbkiq 8 5 is be VBZ cord-275814-seirbkiq 8 6 likely likely JJ cord-275814-seirbkiq 8 7 to to TO cord-275814-seirbkiq 8 8 cause cause VB cord-275814-seirbkiq 8 9 the the DT cord-275814-seirbkiq 8 10 next next JJ cord-275814-seirbkiq 8 11 major major JJ cord-275814-seirbkiq 8 12 global global JJ cord-275814-seirbkiq 8 13 pandemic pandemic NN cord-275814-seirbkiq 8 14 that that WDT cord-275814-seirbkiq 8 15 could could MD cord-275814-seirbkiq 8 16 kill kill VB cord-275814-seirbkiq 8 17 millions million NNS cord-275814-seirbkiq 8 18 of of IN cord-275814-seirbkiq 8 19 people people NNS cord-275814-seirbkiq 8 20 . . . cord-275814-seirbkiq 9 1 The the DT cord-275814-seirbkiq 9 2 2002 2002 CD cord-275814-seirbkiq 9 3 outbreak outbreak NN cord-275814-seirbkiq 9 4 of of IN cord-275814-seirbkiq 9 5 severe severe JJ cord-275814-seirbkiq 9 6 acute acute JJ cord-275814-seirbkiq 9 7 respiratory respiratory JJ cord-275814-seirbkiq 9 8 syndrome syndrome NN cord-275814-seirbkiq 9 9 ( ( -LRB- cord-275814-seirbkiq 9 10 SARS SARS NNP cord-275814-seirbkiq 9 11 ) ) -RRB- cord-275814-seirbkiq 9 12 demonstrated demonstrate VBD cord-275814-seirbkiq 9 13 that that IN cord-275814-seirbkiq 9 14 international international JJ cord-275814-seirbkiq 9 15 air air NN cord-275814-seirbkiq 9 16 travel travel NN cord-275814-seirbkiq 9 17 can can MD cord-275814-seirbkiq 9 18 significantly significantly RB cord-275814-seirbkiq 9 19 influence influence VB cord-275814-seirbkiq 9 20 the the DT cord-275814-seirbkiq 9 21 global global JJ cord-275814-seirbkiq 9 22 spread spread NN cord-275814-seirbkiq 9 23 of of IN cord-275814-seirbkiq 9 24 an an DT cord-275814-seirbkiq 9 25 infectious infectious JJ cord-275814-seirbkiq 9 26 disease disease NN cord-275814-seirbkiq 9 27 . . . cord-275814-seirbkiq 10 1 This this DT cord-275814-seirbkiq 10 2 paper paper NN cord-275814-seirbkiq 10 3 studies study VBZ cord-275814-seirbkiq 10 4 the the DT cord-275814-seirbkiq 10 5 effects effect NNS cord-275814-seirbkiq 10 6 of of IN cord-275814-seirbkiq 10 7 air air NN cord-275814-seirbkiq 10 8 travel travel NN cord-275814-seirbkiq 10 9 on on IN cord-275814-seirbkiq 10 10 the the DT cord-275814-seirbkiq 10 11 spread spread NN cord-275814-seirbkiq 10 12 of of IN cord-275814-seirbkiq 10 13 avian avian JJ cord-275814-seirbkiq 10 14 influenza influenza NN cord-275814-seirbkiq 10 15 from from IN cord-275814-seirbkiq 10 16 Asian asian JJ cord-275814-seirbkiq 10 17 and and CC cord-275814-seirbkiq 10 18 Australian australian JJ cord-275814-seirbkiq 10 19 cities city NNS cord-275814-seirbkiq 10 20 to to IN cord-275814-seirbkiq 10 21 the the DT cord-275814-seirbkiq 10 22 United United NNP cord-275814-seirbkiq 10 23 States States NNP cord-275814-seirbkiq 10 24 . . . cord-275814-seirbkiq 11 1 A a DT cord-275814-seirbkiq 11 2 two two CD cord-275814-seirbkiq 11 3 - - HYPH cord-275814-seirbkiq 11 4 city city NN cord-275814-seirbkiq 11 5 mathematical mathematical JJ cord-275814-seirbkiq 11 6 model model NN cord-275814-seirbkiq 11 7 involving involve VBG cord-275814-seirbkiq 11 8 a a DT cord-275814-seirbkiq 11 9 pandemic pandemic NN cord-275814-seirbkiq 11 10 strain strain NN cord-275814-seirbkiq 11 11 is be VBZ cord-275814-seirbkiq 11 12 used use VBN cord-275814-seirbkiq 11 13 to to TO cord-275814-seirbkiq 11 14 derive derive VB cord-275814-seirbkiq 11 15 the the DT cord-275814-seirbkiq 11 16 basic basic JJ cord-275814-seirbkiq 11 17 reproduction reproduction NN cord-275814-seirbkiq 11 18 number number NN cord-275814-seirbkiq 11 19 ( ( -LRB- cord-275814-seirbkiq 11 20 R r NN cord-275814-seirbkiq 11 21 0 0 CD cord-275814-seirbkiq 11 22 ) ) -RRB- cord-275814-seirbkiq 11 23 , , , cord-275814-seirbkiq 11 24 which which WDT cord-275814-seirbkiq 11 25 determines determine VBZ cord-275814-seirbkiq 11 26 if if IN cord-275814-seirbkiq 11 27 the the DT cord-275814-seirbkiq 11 28 disease disease NN cord-275814-seirbkiq 11 29 will will MD cord-275814-seirbkiq 11 30 spread spread VB cord-275814-seirbkiq 11 31 and and CC cord-275814-seirbkiq 11 32 persist persist VB cord-275814-seirbkiq 11 33 ( ( -LRB- cord-275814-seirbkiq 11 34 R r NN cord-275814-seirbkiq 11 35 0 0 CD cord-275814-seirbkiq 11 36 > > SYM cord-275814-seirbkiq 11 37 1 1 CD cord-275814-seirbkiq 11 38 ) ) -RRB- cord-275814-seirbkiq 11 39 or or CC cord-275814-seirbkiq 11 40 go go VB cord-275814-seirbkiq 11 41 extinct extinct JJ cord-275814-seirbkiq 11 42 ( ( -LRB- cord-275814-seirbkiq 11 43 R r NN cord-275814-seirbkiq 11 44 0 0 CD cord-275814-seirbkiq 11 45 < < XX cord-275814-seirbkiq 11 46 1 1 CD cord-275814-seirbkiq 11 47 ) ) -RRB- cord-275814-seirbkiq 11 48 . . . cord-275814-seirbkiq 12 1 Real real JJ cord-275814-seirbkiq 12 2 air air NN cord-275814-seirbkiq 12 3 travel travel NN cord-275814-seirbkiq 12 4 data datum NNS cord-275814-seirbkiq 12 5 is be VBZ cord-275814-seirbkiq 12 6 used use VBN cord-275814-seirbkiq 12 7 to to TO cord-275814-seirbkiq 12 8 model model VB cord-275814-seirbkiq 12 9 the the DT cord-275814-seirbkiq 12 10 disease disease NN cord-275814-seirbkiq 12 11 spread spread VBN cord-275814-seirbkiq 12 12 by by IN cord-275814-seirbkiq 12 13 individuals individual NNS cord-275814-seirbkiq 12 14 who who WP cord-275814-seirbkiq 12 15 are be VBP cord-275814-seirbkiq 12 16 susceptible susceptible JJ cord-275814-seirbkiq 12 17 to to IN cord-275814-seirbkiq 12 18 or or CC cord-275814-seirbkiq 12 19 are be VBP cord-275814-seirbkiq 12 20 infected infect VBN cord-275814-seirbkiq 12 21 with with IN cord-275814-seirbkiq 12 22 pandemic pandemic NN cord-275814-seirbkiq 12 23 avian avian JJ cord-275814-seirbkiq 12 24 influenza influenza NN cord-275814-seirbkiq 12 25 . . . cord-275814-seirbkiq 13 1 Analysis analysis NN cord-275814-seirbkiq 13 2 of of IN cord-275814-seirbkiq 13 3 the the DT cord-275814-seirbkiq 13 4 two two CD cord-275814-seirbkiq 13 5 - - HYPH cord-275814-seirbkiq 13 6 city city NN cord-275814-seirbkiq 13 7 model model NN cord-275814-seirbkiq 13 8 helps help VBZ cord-275814-seirbkiq 13 9 understand understand VB cord-275814-seirbkiq 13 10 the the DT cord-275814-seirbkiq 13 11 dynamics dynamic NNS cord-275814-seirbkiq 13 12 of of IN cord-275814-seirbkiq 13 13 the the DT cord-275814-seirbkiq 13 14 spread spread NN cord-275814-seirbkiq 13 15 of of IN cord-275814-seirbkiq 13 16 pandemic pandemic NN cord-275814-seirbkiq 13 17 influenza influenza NN cord-275814-seirbkiq 13 18 when when WRB cord-275814-seirbkiq 13 19 the the DT cord-275814-seirbkiq 13 20 cities city NNS cord-275814-seirbkiq 13 21 are be VBP cord-275814-seirbkiq 13 22 connected connect VBN cord-275814-seirbkiq 13 23 by by IN cord-275814-seirbkiq 13 24 air air NN cord-275814-seirbkiq 13 25 travel travel NN cord-275814-seirbkiq 13 26 . . . cord-275814-seirbkiq 14 1 Understanding understand VBG cord-275814-seirbkiq 14 2 these these DT cord-275814-seirbkiq 14 3 effects effect NNS cord-275814-seirbkiq 14 4 can can MD cord-275814-seirbkiq 14 5 help help VB cord-275814-seirbkiq 14 6 public public JJ cord-275814-seirbkiq 14 7 health health NN cord-275814-seirbkiq 14 8 officials official NNS cord-275814-seirbkiq 14 9 and and CC cord-275814-seirbkiq 14 10 policy policy NN cord-275814-seirbkiq 14 11 - - HYPH cord-275814-seirbkiq 14 12 makers maker NNS cord-275814-seirbkiq 14 13 select select VBP cord-275814-seirbkiq 14 14 the the DT cord-275814-seirbkiq 14 15 appropriate appropriate JJ cord-275814-seirbkiq 14 16 disease disease NN cord-275814-seirbkiq 14 17 control control NN cord-275814-seirbkiq 14 18 measures measure NNS cord-275814-seirbkiq 14 19 . . . cord-275814-seirbkiq 15 1 Also also RB cord-275814-seirbkiq 15 2 , , , cord-275814-seirbkiq 15 3 it -PRON- PRP cord-275814-seirbkiq 15 4 can can MD cord-275814-seirbkiq 15 5 provide provide VB cord-275814-seirbkiq 15 6 guidance guidance NN cord-275814-seirbkiq 15 7 to to IN cord-275814-seirbkiq 15 8 decision decision NN cord-275814-seirbkiq 15 9 - - HYPH cord-275814-seirbkiq 15 10 makers maker NNS cord-275814-seirbkiq 15 11 on on IN cord-275814-seirbkiq 15 12 where where WRB cord-275814-seirbkiq 15 13 to to TO cord-275814-seirbkiq 15 14 implement implement VB cord-275814-seirbkiq 15 15 control control NN cord-275814-seirbkiq 15 16 measures measure NNS cord-275814-seirbkiq 15 17 while while IN cord-275814-seirbkiq 15 18 conserving conserve VBG cord-275814-seirbkiq 15 19 precious precious JJ cord-275814-seirbkiq 15 20 resources resource NNS cord-275814-seirbkiq 15 21 . . . cord-275814-seirbkiq 16 1 The the DT cord-275814-seirbkiq 16 2 avian avian JJ cord-275814-seirbkiq 16 3 influenza influenza NN cord-275814-seirbkiq 16 4 virus virus NN cord-275814-seirbkiq 16 5 belongs belong VBZ cord-275814-seirbkiq 16 6 to to IN cord-275814-seirbkiq 16 7 a a DT cord-275814-seirbkiq 16 8 group group NN cord-275814-seirbkiq 16 9 of of IN cord-275814-seirbkiq 16 10 viruses virus NNS cord-275814-seirbkiq 16 11 known know VBN cord-275814-seirbkiq 16 12 as as IN cord-275814-seirbkiq 16 13 Influenza Influenza NNP cord-275814-seirbkiq 16 14 A A NNP cord-275814-seirbkiq 16 15 that that WDT cord-275814-seirbkiq 16 16 circulate circulate VBP cord-275814-seirbkiq 16 17 in in IN cord-275814-seirbkiq 16 18 many many JJ cord-275814-seirbkiq 16 19 avian avian JJ cord-275814-seirbkiq 16 20 and and CC cord-275814-seirbkiq 16 21 mammalian mammalian JJ cord-275814-seirbkiq 16 22 species specie NNS cord-275814-seirbkiq 16 23 , , , cord-275814-seirbkiq 16 24 including include VBG cord-275814-seirbkiq 16 25 humans human NNS cord-275814-seirbkiq 16 26 [ [ -LRB- cord-275814-seirbkiq 16 27 2 2 CD cord-275814-seirbkiq 16 28 ] ] -RRB- cord-275814-seirbkiq 16 29 . . . cord-275814-seirbkiq 17 1 The the DT cord-275814-seirbkiq 17 2 highly highly RB cord-275814-seirbkiq 17 3 pathogenic pathogenic JJ cord-275814-seirbkiq 17 4 avian avian JJ cord-275814-seirbkiq 17 5 influenza influenza NN cord-275814-seirbkiq 17 6 ( ( -LRB- cord-275814-seirbkiq 17 7 HPAI HPAI NNP cord-275814-seirbkiq 17 8 ) ) -RRB- cord-275814-seirbkiq 17 9 strain strain VBP cord-275814-seirbkiq 17 10 H5N1 H5N1 NNP cord-275814-seirbkiq 17 11 achieved achieve VBD cord-275814-seirbkiq 17 12 bird bird NN cord-275814-seirbkiq 17 13 - - HYPH cord-275814-seirbkiq 17 14 tohuman tohuman NN cord-275814-seirbkiq 17 15 transmission transmission NN cord-275814-seirbkiq 17 16 and and CC cord-275814-seirbkiq 17 17 caused cause VBD cord-275814-seirbkiq 17 18 a a DT cord-275814-seirbkiq 17 19 severe severe JJ cord-275814-seirbkiq 17 20 disease disease NN cord-275814-seirbkiq 17 21 to to IN cord-275814-seirbkiq 17 22 humans human NNS cord-275814-seirbkiq 17 23 with with IN cord-275814-seirbkiq 17 24 high high JJ cord-275814-seirbkiq 17 25 mortality mortality NN cord-275814-seirbkiq 17 26 [ [ -LRB- cord-275814-seirbkiq 17 27 18 18 CD cord-275814-seirbkiq 17 28 ] ] -RRB- cord-275814-seirbkiq 17 29 . . . cord-275814-seirbkiq 18 1 HPAI HPAI NNP cord-275814-seirbkiq 18 2 first first RB cord-275814-seirbkiq 18 3 appeared appear VBD cord-275814-seirbkiq 18 4 in in IN cord-275814-seirbkiq 18 5 1997 1997 CD cord-275814-seirbkiq 18 6 in in IN cord-275814-seirbkiq 18 7 Hong Hong NNP cord-275814-seirbkiq 18 8 Kong Kong NNP cord-275814-seirbkiq 18 9 , , , cord-275814-seirbkiq 18 10 where where WRB cord-275814-seirbkiq 18 11 it -PRON- PRP cord-275814-seirbkiq 18 12 infected infect VBD cord-275814-seirbkiq 18 13 eighteen eighteen CD cord-275814-seirbkiq 18 14 humans human NNS cord-275814-seirbkiq 18 15 and and CC cord-275814-seirbkiq 18 16 caused cause VBD cord-275814-seirbkiq 18 17 six six CD cord-275814-seirbkiq 18 18 deaths death NNS cord-275814-seirbkiq 18 19 . . . cord-275814-seirbkiq 19 1 To to IN cord-275814-seirbkiq 19 2 date date NN cord-275814-seirbkiq 19 3 , , , cord-275814-seirbkiq 19 4 a a DT cord-275814-seirbkiq 19 5 total total NN cord-275814-seirbkiq 19 6 of of IN cord-275814-seirbkiq 19 7 637 637 CD cord-275814-seirbkiq 19 8 cases case NNS cord-275814-seirbkiq 19 9 in in IN cord-275814-seirbkiq 19 10 fifteen fifteen CD cord-275814-seirbkiq 19 11 countries country NNS cord-275814-seirbkiq 19 12 have have VBP cord-275814-seirbkiq 19 13 been be VBN cord-275814-seirbkiq 19 14 reported report VBN cord-275814-seirbkiq 19 15 to to IN cord-275814-seirbkiq 19 16 the the DT cord-275814-seirbkiq 19 17 World World NNP cord-275814-seirbkiq 19 18 Health Health NNP cord-275814-seirbkiq 19 19 Organization Organization NNP cord-275814-seirbkiq 19 20 ( ( -LRB- cord-275814-seirbkiq 19 21 WHO who WP cord-275814-seirbkiq 19 22 ) ) -RRB- cord-275814-seirbkiq 19 23 , , , cord-275814-seirbkiq 19 24 including include VBG cord-275814-seirbkiq 19 25 378 378 CD cord-275814-seirbkiq 19 26 deaths death NNS cord-275814-seirbkiq 19 27 with with IN cord-275814-seirbkiq 19 28 a a DT cord-275814-seirbkiq 19 29 case case NN cord-275814-seirbkiq 19 30 fatality fatality NN cord-275814-seirbkiq 19 31 rate rate NN cord-275814-seirbkiq 19 32 approaching approach VBG cord-275814-seirbkiq 19 33 60 60 CD cord-275814-seirbkiq 19 34 % % NN cord-275814-seirbkiq 19 35 [ [ -LRB- cord-275814-seirbkiq 19 36 19 19 CD cord-275814-seirbkiq 19 37 ] ] -RRB- cord-275814-seirbkiq 19 38 . . . cord-275814-seirbkiq 20 1 Interestingly interestingly RB cord-275814-seirbkiq 20 2 , , , cord-275814-seirbkiq 20 3 there there EX cord-275814-seirbkiq 20 4 has have VBZ cord-275814-seirbkiq 20 5 been be VBN cord-275814-seirbkiq 20 6 no no DT cord-275814-seirbkiq 20 7 decline decline NN cord-275814-seirbkiq 20 8 in in IN cord-275814-seirbkiq 20 9 the the DT cord-275814-seirbkiq 20 10 mortality mortality NN cord-275814-seirbkiq 20 11 rate rate NN cord-275814-seirbkiq 20 12 since since IN cord-275814-seirbkiq 20 13 the the DT cord-275814-seirbkiq 20 14 first first JJ cord-275814-seirbkiq 20 15 appearance appearance NN cord-275814-seirbkiq 20 16 of of IN cord-275814-seirbkiq 20 17 HPAI HPAI NNP cord-275814-seirbkiq 20 18 . . . cord-275814-seirbkiq 21 1 In in IN cord-275814-seirbkiq 21 2 March March NNP cord-275814-seirbkiq 21 3 2013 2013 CD cord-275814-seirbkiq 21 4 , , , cord-275814-seirbkiq 21 5 China China NNP cord-275814-seirbkiq 21 6 reported report VBD cord-275814-seirbkiq 21 7 several several JJ cord-275814-seirbkiq 21 8 confirmed confirm VBN cord-275814-seirbkiq 21 9 cases case NNS cord-275814-seirbkiq 21 10 involving involve VBG cord-275814-seirbkiq 21 11 the the DT cord-275814-seirbkiq 21 12 H7N9 H7N9 NNP cord-275814-seirbkiq 21 13 strain strain NN cord-275814-seirbkiq 21 14 that that WDT cord-275814-seirbkiq 21 15 had have VBD cord-275814-seirbkiq 21 16 not not RB cord-275814-seirbkiq 21 17 been be VBN cord-275814-seirbkiq 21 18 seen see VBN cord-275814-seirbkiq 21 19 previously previously RB cord-275814-seirbkiq 21 20 in in IN cord-275814-seirbkiq 21 21 humans human NNS cord-275814-seirbkiq 21 22 [ [ -LRB- cord-275814-seirbkiq 21 23 20 20 CD cord-275814-seirbkiq 21 24 ] ] -RRB- cord-275814-seirbkiq 21 25 . . . cord-275814-seirbkiq 22 1 Most Most JJS cord-275814-seirbkiq 22 2 patients patient NNS cord-275814-seirbkiq 22 3 showed show VBD cord-275814-seirbkiq 22 4 flu flu NN cord-275814-seirbkiq 22 5 - - HYPH cord-275814-seirbkiq 22 6 like like JJ cord-275814-seirbkiq 22 7 symptoms symptom NNS cord-275814-seirbkiq 22 8 , , , cord-275814-seirbkiq 22 9 and and CC cord-275814-seirbkiq 22 10 a a DT cord-275814-seirbkiq 22 11 throat throat NN cord-275814-seirbkiq 22 12 swab swab NN cord-275814-seirbkiq 22 13 taken take VBN cord-275814-seirbkiq 22 14 from from IN cord-275814-seirbkiq 22 15 a a DT cord-275814-seirbkiq 22 16 patient patient NN cord-275814-seirbkiq 22 17 in in IN cord-275814-seirbkiq 22 18 Jiangsu Jiangsu NNP cord-275814-seirbkiq 22 19 Province Province NNP cord-275814-seirbkiq 22 20 revealed reveal VBD cord-275814-seirbkiq 22 21 the the DT cord-275814-seirbkiq 22 22 presence presence NN cord-275814-seirbkiq 22 23 of of IN cord-275814-seirbkiq 22 24 the the DT cord-275814-seirbkiq 22 25 H3N2 H3N2 NNP cord-275814-seirbkiq 22 26 human human JJ cord-275814-seirbkiq 22 27 influenza influenza NN cord-275814-seirbkiq 22 28 virus virus NN cord-275814-seirbkiq 22 29 and and CC cord-275814-seirbkiq 22 30 the the DT cord-275814-seirbkiq 22 31 H7N9 H7N9 NNP cord-275814-seirbkiq 22 32 avian avian JJ cord-275814-seirbkiq 22 33 influenza influenza NN cord-275814-seirbkiq 22 34 virus virus NN cord-275814-seirbkiq 22 35 [ [ -LRB- cord-275814-seirbkiq 22 36 19 19 CD cord-275814-seirbkiq 22 37 ] ] -RRB- cord-275814-seirbkiq 22 38 . . . cord-275814-seirbkiq 23 1 Avian avian JJ cord-275814-seirbkiq 23 2 influenza influenza NN cord-275814-seirbkiq 23 3 continues continue VBZ cord-275814-seirbkiq 23 4 to to TO cord-275814-seirbkiq 23 5 be be VB cord-275814-seirbkiq 23 6 one one CD cord-275814-seirbkiq 23 7 of of IN cord-275814-seirbkiq 23 8 the the DT cord-275814-seirbkiq 23 9 deadliest deadly JJS cord-275814-seirbkiq 23 10 diseases disease NNS cord-275814-seirbkiq 23 11 that that WDT cord-275814-seirbkiq 23 12 links link VBZ cord-275814-seirbkiq 23 13 humans human NNS cord-275814-seirbkiq 23 14 and and CC cord-275814-seirbkiq 23 15 animals animal NNS cord-275814-seirbkiq 23 16 . . . cord-275814-seirbkiq 24 1 Indeed indeed RB cord-275814-seirbkiq 24 2 , , , cord-275814-seirbkiq 24 3 it -PRON- PRP cord-275814-seirbkiq 24 4 is be VBZ cord-275814-seirbkiq 24 5 expected expect VBN cord-275814-seirbkiq 24 6 to to TO cord-275814-seirbkiq 24 7 cause cause VB cord-275814-seirbkiq 24 8 the the DT cord-275814-seirbkiq 24 9 next next JJ cord-275814-seirbkiq 24 10 major major JJ cord-275814-seirbkiq 24 11 influenza influenza NN cord-275814-seirbkiq 24 12 pandemic pandemic NN cord-275814-seirbkiq 24 13 . . . cord-275814-seirbkiq 25 1 An an DT cord-275814-seirbkiq 25 2 influenza influenza NN cord-275814-seirbkiq 25 3 pandemic pandemic NN cord-275814-seirbkiq 25 4 occurs occur VBZ cord-275814-seirbkiq 25 5 when when WRB cord-275814-seirbkiq 25 6 a a DT cord-275814-seirbkiq 25 7 new new JJ cord-275814-seirbkiq 25 8 strain strain NN cord-275814-seirbkiq 25 9 of of IN cord-275814-seirbkiq 25 10 virus virus NN cord-275814-seirbkiq 25 11 circulates circulate VBZ cord-275814-seirbkiq 25 12 among among IN cord-275814-seirbkiq 25 13 humans human NNS cord-275814-seirbkiq 25 14 , , , cord-275814-seirbkiq 25 15 potentially potentially RB cord-275814-seirbkiq 25 16 killing kill VBG cord-275814-seirbkiq 25 17 millions million NNS cord-275814-seirbkiq 25 18 of of IN cord-275814-seirbkiq 25 19 people people NNS cord-275814-seirbkiq 25 20 . . . cord-275814-seirbkiq 26 1 Aside aside RB cord-275814-seirbkiq 26 2 from from IN cord-275814-seirbkiq 26 3 its -PRON- PRP$ cord-275814-seirbkiq 26 4 high high JJ cord-275814-seirbkiq 26 5 mortality mortality NN cord-275814-seirbkiq 26 6 rate rate NN cord-275814-seirbkiq 26 7 , , , cord-275814-seirbkiq 26 8 avian avian JJ cord-275814-seirbkiq 26 9 influenza influenza NN cord-275814-seirbkiq 26 10 is be VBZ cord-275814-seirbkiq 26 11 monitored monitor VBN cord-275814-seirbkiq 26 12 closely closely RB cord-275814-seirbkiq 26 13 for for IN cord-275814-seirbkiq 26 14 a a DT cord-275814-seirbkiq 26 15 pandemic pandemic NN cord-275814-seirbkiq 26 16 because because IN cord-275814-seirbkiq 26 17 Influenza Influenza NNP cord-275814-seirbkiq 26 18 A a DT cord-275814-seirbkiq 26 19 type type NN cord-275814-seirbkiq 26 20 viruses virus NNS cord-275814-seirbkiq 26 21 can can MD cord-275814-seirbkiq 26 22 evolve evolve VB cord-275814-seirbkiq 26 23 rapidly rapidly RB cord-275814-seirbkiq 26 24 and and CC cord-275814-seirbkiq 26 25 jump jump VB cord-275814-seirbkiq 26 26 between between IN cord-275814-seirbkiq 26 27 species specie NNS cord-275814-seirbkiq 26 28 . . . cord-275814-seirbkiq 27 1 The the DT cord-275814-seirbkiq 27 2 viruses virus NNS cord-275814-seirbkiq 27 3 evolve evolve VBP cord-275814-seirbkiq 27 4 through through IN cord-275814-seirbkiq 27 5 evolutionary evolutionary JJ cord-275814-seirbkiq 27 6 mechanisms mechanism NNS cord-275814-seirbkiq 27 7 such such JJ cord-275814-seirbkiq 27 8 as as IN cord-275814-seirbkiq 27 9 drift drift NN cord-275814-seirbkiq 27 10 and and CC cord-275814-seirbkiq 27 11 shift shift VB cord-275814-seirbkiq 27 12 . . . cord-275814-seirbkiq 28 1 Drift drift NN cord-275814-seirbkiq 28 2 involves involve VBZ cord-275814-seirbkiq 28 3 small small JJ cord-275814-seirbkiq 28 4 , , , cord-275814-seirbkiq 28 5 gradual gradual JJ cord-275814-seirbkiq 28 6 changes change NNS cord-275814-seirbkiq 28 7 to to TO cord-275814-seirbkiq 28 8 surface surface VB cord-275814-seirbkiq 28 9 proteins protein NNS cord-275814-seirbkiq 28 10 while while IN cord-275814-seirbkiq 28 11 shift shift NN cord-275814-seirbkiq 28 12 involves involve VBZ cord-275814-seirbkiq 28 13 abrupt abrupt JJ cord-275814-seirbkiq 28 14 major major JJ cord-275814-seirbkiq 28 15 changes change NNS cord-275814-seirbkiq 28 16 to to IN cord-275814-seirbkiq 28 17 the the DT cord-275814-seirbkiq 28 18 influenza influenza NN cord-275814-seirbkiq 28 19 virus virus NN cord-275814-seirbkiq 28 20 . . . cord-275814-seirbkiq 29 1 Shift shift JJ cord-275814-seirbkiq 29 2 evolution evolution NN cord-275814-seirbkiq 29 3 occurs occur VBZ cord-275814-seirbkiq 29 4 through through IN cord-275814-seirbkiq 29 5 reassortment reassortment NN cord-275814-seirbkiq 29 6 , , , cord-275814-seirbkiq 29 7 the the DT cord-275814-seirbkiq 29 8 mixing mixing NN cord-275814-seirbkiq 29 9 of of IN cord-275814-seirbkiq 29 10 two two CD cord-275814-seirbkiq 29 11 influenza influenza NN cord-275814-seirbkiq 29 12 viruses virus NNS cord-275814-seirbkiq 29 13 ( ( -LRB- cord-275814-seirbkiq 29 14 e.g. e.g. RB cord-275814-seirbkiq 29 15 , , , cord-275814-seirbkiq 29 16 avian avian JJ cord-275814-seirbkiq 29 17 influenza influenza NN cord-275814-seirbkiq 29 18 and and CC cord-275814-seirbkiq 29 19 human human JJ cord-275814-seirbkiq 29 20 influenza influenza NN cord-275814-seirbkiq 29 21 ) ) -RRB- cord-275814-seirbkiq 29 22 into into IN cord-275814-seirbkiq 29 23 a a DT cord-275814-seirbkiq 29 24 new new JJ cord-275814-seirbkiq 29 25 strain strain NN cord-275814-seirbkiq 29 26 that that WDT cord-275814-seirbkiq 29 27 carries carry VBZ cord-275814-seirbkiq 29 28 properties property NNS cord-275814-seirbkiq 29 29 from from IN cord-275814-seirbkiq 29 30 both both DT cord-275814-seirbkiq 29 31 strains strain NNS cord-275814-seirbkiq 29 32 . . . cord-275814-seirbkiq 30 1 Shift shift VB cord-275814-seirbkiq 30 2 typically typically RB cord-275814-seirbkiq 30 3 occurs occur VBZ cord-275814-seirbkiq 30 4 when when WRB cord-275814-seirbkiq 30 5 a a DT cord-275814-seirbkiq 30 6 patient patient NN cord-275814-seirbkiq 30 7 gets get VBZ cord-275814-seirbkiq 30 8 infected infect VBN cord-275814-seirbkiq 30 9 with with IN cord-275814-seirbkiq 30 10 both both DT cord-275814-seirbkiq 30 11 strains strain NNS cord-275814-seirbkiq 30 12 of of IN cord-275814-seirbkiq 30 13 the the DT cord-275814-seirbkiq 30 14 influenza influenza NN cord-275814-seirbkiq 30 15 virus virus NN cord-275814-seirbkiq 30 16 . . . cord-275814-seirbkiq 31 1 Recent recent JJ cord-275814-seirbkiq 31 2 outbreaks outbreak NNS cord-275814-seirbkiq 31 3 in in IN cord-275814-seirbkiq 31 4 China China NNP cord-275814-seirbkiq 31 5 show show VBP cord-275814-seirbkiq 31 6 that that IN cord-275814-seirbkiq 31 7 shift shift NN cord-275814-seirbkiq 31 8 evolution evolution NN cord-275814-seirbkiq 31 9 can can MD cord-275814-seirbkiq 31 10 occur occur VB cord-275814-seirbkiq 31 11 at at IN cord-275814-seirbkiq 31 12 any any DT cord-275814-seirbkiq 31 13 time time NN cord-275814-seirbkiq 31 14 with with IN cord-275814-seirbkiq 31 15 potentially potentially RB cord-275814-seirbkiq 31 16 deadly deadly JJ cord-275814-seirbkiq 31 17 effects effect NNS cord-275814-seirbkiq 31 18 . . . cord-275814-seirbkiq 32 1 Vaccination vaccination NN cord-275814-seirbkiq 32 2 is be VBZ cord-275814-seirbkiq 32 3 one one CD cord-275814-seirbkiq 32 4 of of IN cord-275814-seirbkiq 32 5 the the DT cord-275814-seirbkiq 32 6 best good JJS cord-275814-seirbkiq 32 7 ways way NNS cord-275814-seirbkiq 32 8 to to TO cord-275814-seirbkiq 32 9 prevent prevent VB cord-275814-seirbkiq 32 10 the the DT cord-275814-seirbkiq 32 11 spread spread NN cord-275814-seirbkiq 32 12 of of IN cord-275814-seirbkiq 32 13 pandemic pandemic NN cord-275814-seirbkiq 32 14 influenza influenza NN cord-275814-seirbkiq 32 15 and and CC cord-275814-seirbkiq 32 16 reduce reduce VB cord-275814-seirbkiq 32 17 its -PRON- PRP$ cord-275814-seirbkiq 32 18 severity severity NN cord-275814-seirbkiq 32 19 . . . cord-275814-seirbkiq 33 1 However however RB cord-275814-seirbkiq 33 2 , , , cord-275814-seirbkiq 33 3 producing produce VBG cord-275814-seirbkiq 33 4 live live RB cord-275814-seirbkiq 33 5 attenuated attenuated JJ cord-275814-seirbkiq 33 6 and and CC cord-275814-seirbkiq 33 7 inactive inactive JJ cord-275814-seirbkiq 33 8 vaccine vaccine NN cord-275814-seirbkiq 33 9 seed seed NN cord-275814-seirbkiq 33 10 viruses virus NNS cord-275814-seirbkiq 33 11 against against IN cord-275814-seirbkiq 33 12 a a DT cord-275814-seirbkiq 33 13 potential potential JJ cord-275814-seirbkiq 33 14 pandemic pandemic NN cord-275814-seirbkiq 33 15 - - HYPH cord-275814-seirbkiq 33 16 causing cause VBG cord-275814-seirbkiq 33 17 avian avian JJ cord-275814-seirbkiq 33 18 influenza influenza NN cord-275814-seirbkiq 33 19 strain strain NN cord-275814-seirbkiq 33 20 , , , cord-275814-seirbkiq 33 21 and and CC cord-275814-seirbkiq 33 22 subsequently subsequently RB cord-275814-seirbkiq 33 23 performing perform VBG cord-275814-seirbkiq 33 24 pre pre JJ cord-275814-seirbkiq 33 25 - - JJ cord-275814-seirbkiq 33 26 clinical clinical JJ cord-275814-seirbkiq 33 27 tests test NNS cord-275814-seirbkiq 33 28 and and CC cord-275814-seirbkiq 33 29 clinical clinical JJ cord-275814-seirbkiq 33 30 trials trial NNS cord-275814-seirbkiq 33 31 can can MD cord-275814-seirbkiq 33 32 take take VB cord-275814-seirbkiq 33 33 several several JJ cord-275814-seirbkiq 33 34 months month NNS cord-275814-seirbkiq 33 35 , , , cord-275814-seirbkiq 33 36 if if IN cord-275814-seirbkiq 33 37 not not RB cord-275814-seirbkiq 33 38 longer long JJR cord-275814-seirbkiq 33 39 . . . cord-275814-seirbkiq 34 1 Unfortunately unfortunately RB cord-275814-seirbkiq 34 2 , , , cord-275814-seirbkiq 34 3 it -PRON- PRP cord-275814-seirbkiq 34 4 is be VBZ cord-275814-seirbkiq 34 5 not not RB cord-275814-seirbkiq 34 6 possible possible JJ cord-275814-seirbkiq 34 7 to to TO cord-275814-seirbkiq 34 8 predict predict VB cord-275814-seirbkiq 34 9 which which WDT cord-275814-seirbkiq 34 10 avian avian JJ cord-275814-seirbkiq 34 11 virus virus NN cord-275814-seirbkiq 34 12 strains strain NNS cord-275814-seirbkiq 34 13 will will MD cord-275814-seirbkiq 34 14 cause cause VB cord-275814-seirbkiq 34 15 the the DT cord-275814-seirbkiq 34 16 next next JJ cord-275814-seirbkiq 34 17 influenza influenza NN cord-275814-seirbkiq 34 18 pandemic pandemic NN cord-275814-seirbkiq 34 19 or or CC cord-275814-seirbkiq 34 20 when when WRB cord-275814-seirbkiq 34 21 the the DT cord-275814-seirbkiq 34 22 pandemic pandemic NN cord-275814-seirbkiq 34 23 will will MD cord-275814-seirbkiq 34 24 occur occur VB cord-275814-seirbkiq 34 25 . . . cord-275814-seirbkiq 35 1 Of of IN cord-275814-seirbkiq 35 2 great great JJ cord-275814-seirbkiq 35 3 concern concern NN cord-275814-seirbkiq 35 4 is be VBZ cord-275814-seirbkiq 35 5 the the DT cord-275814-seirbkiq 35 6 fact fact NN cord-275814-seirbkiq 35 7 that that IN cord-275814-seirbkiq 35 8 once once RB cord-275814-seirbkiq 35 9 pandemic pandemic NN cord-275814-seirbkiq 35 10 avian avian JJ cord-275814-seirbkiq 35 11 influenza influenza NN cord-275814-seirbkiq 35 12 surfaces surface NNS cord-275814-seirbkiq 35 13 , , , cord-275814-seirbkiq 35 14 it -PRON- PRP cord-275814-seirbkiq 35 15 will will MD cord-275814-seirbkiq 35 16 spread spread VB cord-275814-seirbkiq 35 17 globally globally RB cord-275814-seirbkiq 35 18 in in IN cord-275814-seirbkiq 35 19 no no DT cord-275814-seirbkiq 35 20 time time NN cord-275814-seirbkiq 35 21 at at RB cord-275814-seirbkiq 35 22 all all RB cord-275814-seirbkiq 35 23 because because IN cord-275814-seirbkiq 35 24 the the DT cord-275814-seirbkiq 35 25 world world NN cord-275814-seirbkiq 35 26 is be VBZ cord-275814-seirbkiq 35 27 connected connect VBN cord-275814-seirbkiq 35 28 via via IN cord-275814-seirbkiq 35 29 air air NN cord-275814-seirbkiq 35 30 travel travel NN cord-275814-seirbkiq 35 31 . . . cord-275814-seirbkiq 36 1 The the DT cord-275814-seirbkiq 36 2 2002 2002 CD cord-275814-seirbkiq 36 3 outbreak outbreak NN cord-275814-seirbkiq 36 4 of of IN cord-275814-seirbkiq 36 5 severe severe JJ cord-275814-seirbkiq 36 6 acute acute JJ cord-275814-seirbkiq 36 7 respiratory respiratory JJ cord-275814-seirbkiq 36 8 syndrome syndrome NN cord-275814-seirbkiq 36 9 ( ( -LRB- cord-275814-seirbkiq 36 10 SARS SARS NNP cord-275814-seirbkiq 36 11 ) ) -RRB- cord-275814-seirbkiq 36 12 demonstrated demonstrate VBD cord-275814-seirbkiq 36 13 that that IN cord-275814-seirbkiq 36 14 international international JJ cord-275814-seirbkiq 36 15 air air NN cord-275814-seirbkiq 36 16 travel travel NN cord-275814-seirbkiq 36 17 accelerated accelerate VBD cord-275814-seirbkiq 36 18 the the DT cord-275814-seirbkiq 36 19 global global JJ cord-275814-seirbkiq 36 20 spread spread NN cord-275814-seirbkiq 36 21 of of IN cord-275814-seirbkiq 36 22 an an DT cord-275814-seirbkiq 36 23 infectious infectious JJ cord-275814-seirbkiq 36 24 disease disease NN cord-275814-seirbkiq 36 25 [ [ -LRB- cord-275814-seirbkiq 36 26 14 14 CD cord-275814-seirbkiq 36 27 ] ] -RRB- cord-275814-seirbkiq 36 28 . . . cord-275814-seirbkiq 37 1 This this DT cord-275814-seirbkiq 37 2 paper paper NN cord-275814-seirbkiq 37 3 attempts attempt VBZ cord-275814-seirbkiq 37 4 to to TO cord-275814-seirbkiq 37 5 study study VB cord-275814-seirbkiq 37 6 the the DT cord-275814-seirbkiq 37 7 effects effect NNS cord-275814-seirbkiq 37 8 of of IN cord-275814-seirbkiq 37 9 air air NN cord-275814-seirbkiq 37 10 travel travel NN cord-275814-seirbkiq 37 11 on on IN cord-275814-seirbkiq 37 12 the the DT cord-275814-seirbkiq 37 13 spread spread NN cord-275814-seirbkiq 37 14 of of IN cord-275814-seirbkiq 37 15 avian avian JJ cord-275814-seirbkiq 37 16 influenza influenza NN cord-275814-seirbkiq 37 17 . . . cord-275814-seirbkiq 38 1 Understanding understand VBG cord-275814-seirbkiq 38 2 the the DT cord-275814-seirbkiq 38 3 effects effect NNS cord-275814-seirbkiq 38 4 can can MD cord-275814-seirbkiq 38 5 help help VB cord-275814-seirbkiq 38 6 public public JJ cord-275814-seirbkiq 38 7 health health NN cord-275814-seirbkiq 38 8 officials official NNS cord-275814-seirbkiq 38 9 and and CC cord-275814-seirbkiq 38 10 policy policy NN cord-275814-seirbkiq 38 11 - - HYPH cord-275814-seirbkiq 38 12 makers maker NNS cord-275814-seirbkiq 38 13 to to TO cord-275814-seirbkiq 38 14 select select VB cord-275814-seirbkiq 38 15 the the DT cord-275814-seirbkiq 38 16 appropriate appropriate JJ cord-275814-seirbkiq 38 17 disease disease NN cord-275814-seirbkiq 38 18 control control NN cord-275814-seirbkiq 38 19 measures measure NNS cord-275814-seirbkiq 38 20 . . . cord-275814-seirbkiq 39 1 Also also RB cord-275814-seirbkiq 39 2 , , , cord-275814-seirbkiq 39 3 it -PRON- PRP cord-275814-seirbkiq 39 4 can can MD cord-275814-seirbkiq 39 5 provide provide VB cord-275814-seirbkiq 39 6 guidance guidance NN cord-275814-seirbkiq 39 7 to to IN cord-275814-seirbkiq 39 8 decision decision NN cord-275814-seirbkiq 39 9 - - HYPH cord-275814-seirbkiq 39 10 makers maker NNS cord-275814-seirbkiq 39 11 about about IN cord-275814-seirbkiq 39 12 where where WRB cord-275814-seirbkiq 39 13 to to TO cord-275814-seirbkiq 39 14 implement implement VB cord-275814-seirbkiq 39 15 control control NN cord-275814-seirbkiq 39 16 measures measure NNS cord-275814-seirbkiq 39 17 while while IN cord-275814-seirbkiq 39 18 conserving conserve VBG cord-275814-seirbkiq 39 19 precious precious JJ cord-275814-seirbkiq 39 20 resources resource NNS cord-275814-seirbkiq 39 21 . . . cord-275814-seirbkiq 40 1 This this DT cord-275814-seirbkiq 40 2 paper paper NN cord-275814-seirbkiq 40 3 presents present VBZ cord-275814-seirbkiq 40 4 a a DT cord-275814-seirbkiq 40 5 mathematical mathematical JJ cord-275814-seirbkiq 40 6 model model NN cord-275814-seirbkiq 40 7 with with IN cord-275814-seirbkiq 40 8 spatial spatial JJ cord-275814-seirbkiq 40 9 heterogeneity heterogeneity NN cord-275814-seirbkiq 40 10 that that WDT cord-275814-seirbkiq 40 11 is be VBZ cord-275814-seirbkiq 40 12 designed design VBN cord-275814-seirbkiq 40 13 to to TO cord-275814-seirbkiq 40 14 better better RB cord-275814-seirbkiq 40 15 understand understand VB cord-275814-seirbkiq 40 16 the the DT cord-275814-seirbkiq 40 17 emergence emergence NN cord-275814-seirbkiq 40 18 and and CC cord-275814-seirbkiq 40 19 the the DT cord-275814-seirbkiq 40 20 spread spread NN cord-275814-seirbkiq 40 21 of of IN cord-275814-seirbkiq 40 22 pandemic pandemic NN cord-275814-seirbkiq 40 23 avian avian JJ cord-275814-seirbkiq 40 24 influenza influenza NN cord-275814-seirbkiq 40 25 . . . cord-275814-seirbkiq 41 1 Spatial spatial JJ cord-275814-seirbkiq 41 2 effects effect NNS cord-275814-seirbkiq 41 3 regarding regard VBG cord-275814-seirbkiq 41 4 disease disease NN cord-275814-seirbkiq 41 5 spread spread NN cord-275814-seirbkiq 41 6 can can MD cord-275814-seirbkiq 41 7 be be VB cord-275814-seirbkiq 41 8 modeled model VBN cord-275814-seirbkiq 41 9 by by IN cord-275814-seirbkiq 41 10 diffusion diffusion NN cord-275814-seirbkiq 41 11 or or CC cord-275814-seirbkiq 41 12 dispersal dispersal NN cord-275814-seirbkiq 41 13 models model NNS cord-275814-seirbkiq 41 14 . . . cord-275814-seirbkiq 42 1 In in IN cord-275814-seirbkiq 42 2 a a DT cord-275814-seirbkiq 42 3 diffusion diffusion NN cord-275814-seirbkiq 42 4 model model NN cord-275814-seirbkiq 42 5 , , , cord-275814-seirbkiq 42 6 the the DT cord-275814-seirbkiq 42 7 movements movement NNS cord-275814-seirbkiq 42 8 of of IN cord-275814-seirbkiq 42 9 infected infected JJ cord-275814-seirbkiq 42 10 individuals individual NNS cord-275814-seirbkiq 42 11 are be VBP cord-275814-seirbkiq 42 12 instantaneous instantaneous JJ cord-275814-seirbkiq 42 13 and and CC cord-275814-seirbkiq 42 14 the the DT cord-275814-seirbkiq 42 15 disease disease NN cord-275814-seirbkiq 42 16 spreads spread VBZ cord-275814-seirbkiq 42 17 immediately immediately RB cord-275814-seirbkiq 42 18 to to IN cord-275814-seirbkiq 42 19 neighboring neighboring NN cord-275814-seirbkiq 42 20 areas area NNS cord-275814-seirbkiq 42 21 . . . cord-275814-seirbkiq 43 1 On on IN cord-275814-seirbkiq 43 2 the the DT cord-275814-seirbkiq 43 3 other other JJ cord-275814-seirbkiq 43 4 hand hand NN cord-275814-seirbkiq 43 5 , , , cord-275814-seirbkiq 43 6 in in IN cord-275814-seirbkiq 43 7 a a DT cord-275814-seirbkiq 43 8 dispersal dispersal NN cord-275814-seirbkiq 43 9 model model NN cord-275814-seirbkiq 43 10 , , , cord-275814-seirbkiq 43 11 the the DT cord-275814-seirbkiq 43 12 movements movement NNS cord-275814-seirbkiq 43 13 of of IN cord-275814-seirbkiq 43 14 individuals individual NNS cord-275814-seirbkiq 43 15 are be VBP cord-275814-seirbkiq 43 16 discrete discrete JJ cord-275814-seirbkiq 43 17 and and CC cord-275814-seirbkiq 43 18 usually usually RB cord-275814-seirbkiq 43 19 occur occur VBP cord-275814-seirbkiq 43 20 between between IN cord-275814-seirbkiq 43 21 so so RB cord-275814-seirbkiq 43 22 - - HYPH cord-275814-seirbkiq 43 23 called call VBN cord-275814-seirbkiq 43 24 patches patch NNS cord-275814-seirbkiq 43 25 connected connect VBN cord-275814-seirbkiq 43 26 by by IN cord-275814-seirbkiq 43 27 dispersion dispersion NN cord-275814-seirbkiq 43 28 . . . cord-275814-seirbkiq 44 1 Dispersal dispersal NN cord-275814-seirbkiq 44 2 models model NNS cord-275814-seirbkiq 44 3 are be VBP cord-275814-seirbkiq 44 4 more more RBR cord-275814-seirbkiq 44 5 appropriate appropriate JJ cord-275814-seirbkiq 44 6 when when WRB cord-275814-seirbkiq 44 7 considering consider VBG cord-275814-seirbkiq 44 8 travel travel NN cord-275814-seirbkiq 44 9 over over IN cord-275814-seirbkiq 44 10 long long JJ cord-275814-seirbkiq 44 11 distances distance NNS cord-275814-seirbkiq 44 12 . . . cord-275814-seirbkiq 45 1 Thus thus RB cord-275814-seirbkiq 45 2 , , , cord-275814-seirbkiq 45 3 a a DT cord-275814-seirbkiq 45 4 two two CD cord-275814-seirbkiq 45 5 - - HYPH cord-275814-seirbkiq 45 6 city city NN cord-275814-seirbkiq 45 7 dispersal dispersal NN cord-275814-seirbkiq 45 8 model model NN cord-275814-seirbkiq 45 9 is be VBZ cord-275814-seirbkiq 45 10 developed develop VBN cord-275814-seirbkiq 45 11 to to TO cord-275814-seirbkiq 45 12 predict predict VB cord-275814-seirbkiq 45 13 the the DT cord-275814-seirbkiq 45 14 spread spread NN cord-275814-seirbkiq 45 15 of of IN cord-275814-seirbkiq 45 16 avian avian JJ cord-275814-seirbkiq 45 17 influenza influenza NN cord-275814-seirbkiq 45 18 from from IN cord-275814-seirbkiq 45 19 Asia Asia NNP cord-275814-seirbkiq 45 20 and and CC cord-275814-seirbkiq 45 21 Australia Australia NNP cord-275814-seirbkiq 45 22 to to TO cord-275814-seirbkiq 45 23 major major JJ cord-275814-seirbkiq 45 24 U. U. NNP cord-275814-seirbkiq 45 25 S. S. NNP cord-275814-seirbkiq 45 26 cities city NNS cord-275814-seirbkiq 45 27 via via IN cord-275814-seirbkiq 45 28 air air NN cord-275814-seirbkiq 45 29 travel travel NN cord-275814-seirbkiq 45 30 . . . cord-275814-seirbkiq 46 1 Real real JJ cord-275814-seirbkiq 46 2 air air NN cord-275814-seirbkiq 46 3 travel travel NN cord-275814-seirbkiq 46 4 data datum NNS cord-275814-seirbkiq 46 5 is be VBZ cord-275814-seirbkiq 46 6 used use VBN cord-275814-seirbkiq 46 7 to to TO cord-275814-seirbkiq 46 8 model model VB cord-275814-seirbkiq 46 9 the the DT cord-275814-seirbkiq 46 10 disease disease NN cord-275814-seirbkiq 46 11 spread spread VBN cord-275814-seirbkiq 46 12 by by IN cord-275814-seirbkiq 46 13 individuals individual NNS cord-275814-seirbkiq 46 14 who who WP cord-275814-seirbkiq 46 15 are be VBP cord-275814-seirbkiq 46 16 susceptible susceptible JJ cord-275814-seirbkiq 46 17 to to IN cord-275814-seirbkiq 46 18 or or CC cord-275814-seirbkiq 46 19 are be VBP cord-275814-seirbkiq 46 20 infected infect VBN cord-275814-seirbkiq 46 21 with with IN cord-275814-seirbkiq 46 22 pandemic pandemic NN cord-275814-seirbkiq 46 23 avian avian JJ cord-275814-seirbkiq 46 24 influenza influenza NN cord-275814-seirbkiq 46 25 . . . cord-275814-seirbkiq 47 1 The the DT cord-275814-seirbkiq 47 2 two two CD cord-275814-seirbkiq 47 3 - - HYPH cord-275814-seirbkiq 47 4 city city NN cord-275814-seirbkiq 47 5 model model NN cord-275814-seirbkiq 47 6 helps help VBZ cord-275814-seirbkiq 47 7 identify identify VB cord-275814-seirbkiq 47 8 the the DT cord-275814-seirbkiq 47 9 most most RBS cord-275814-seirbkiq 47 10 effective effective JJ cord-275814-seirbkiq 47 11 intervention intervention NN cord-275814-seirbkiq 47 12 strategies strategy NNS cord-275814-seirbkiq 47 13 at at IN cord-275814-seirbkiq 47 14 the the DT cord-275814-seirbkiq 47 15 origin origin NN cord-275814-seirbkiq 47 16 and and CC cord-275814-seirbkiq 47 17 destination destination NN cord-275814-seirbkiq 47 18 cities city NNS cord-275814-seirbkiq 47 19 as as RB cord-275814-seirbkiq 47 20 well well RB cord-275814-seirbkiq 47 21 as as IN cord-275814-seirbkiq 47 22 help help NN cord-275814-seirbkiq 47 23 quantify quantify VB cord-275814-seirbkiq 47 24 the the DT cord-275814-seirbkiq 47 25 effectiveness effectiveness NN cord-275814-seirbkiq 47 26 of of IN cord-275814-seirbkiq 47 27 control control NN cord-275814-seirbkiq 47 28 measures measure NNS cord-275814-seirbkiq 47 29 that that WDT cord-275814-seirbkiq 47 30 should should MD cord-275814-seirbkiq 47 31 applied apply VBN cord-275814-seirbkiq 47 32 to to TO cord-275814-seirbkiq 47 33 reduce reduce VB cord-275814-seirbkiq 47 34 the the DT cord-275814-seirbkiq 47 35 morbidity morbidity NN cord-275814-seirbkiq 47 36 and and CC cord-275814-seirbkiq 47 37 mortality mortality NN cord-275814-seirbkiq 47 38 of of IN cord-275814-seirbkiq 47 39 a a DT cord-275814-seirbkiq 47 40 pandemic pandemic NN cord-275814-seirbkiq 47 41 . . . cord-275814-seirbkiq 48 1 This this DT cord-275814-seirbkiq 48 2 can can MD cord-275814-seirbkiq 48 3 provide provide VB cord-275814-seirbkiq 48 4 valuable valuable JJ cord-275814-seirbkiq 48 5 guidance guidance NN cord-275814-seirbkiq 48 6 to to IN cord-275814-seirbkiq 48 7 public public JJ cord-275814-seirbkiq 48 8 health health NN cord-275814-seirbkiq 48 9 officials official NNS cord-275814-seirbkiq 48 10 and and CC cord-275814-seirbkiq 48 11 policy policy NN cord-275814-seirbkiq 48 12 - - HYPH cord-275814-seirbkiq 48 13 makers maker NNS cord-275814-seirbkiq 48 14 as as IN cord-275814-seirbkiq 48 15 they -PRON- PRP cord-275814-seirbkiq 48 16 decide decide VBP cord-275814-seirbkiq 48 17 how how WRB cord-275814-seirbkiq 48 18 , , , cord-275814-seirbkiq 48 19 where where WRB cord-275814-seirbkiq 48 20 and and CC cord-275814-seirbkiq 48 21 when when WRB cord-275814-seirbkiq 48 22 to to TO cord-275814-seirbkiq 48 23 target target VB cord-275814-seirbkiq 48 24 pandemic pandemic NN cord-275814-seirbkiq 48 25 influenza influenza NN cord-275814-seirbkiq 48 26 intervention intervention NN cord-275814-seirbkiq 48 27 strategies strategy NNS cord-275814-seirbkiq 48 28 while while IN cord-275814-seirbkiq 48 29 efficiently efficiently RB cord-275814-seirbkiq 48 30 using use VBG cord-275814-seirbkiq 48 31 the the DT cord-275814-seirbkiq 48 32 available available JJ cord-275814-seirbkiq 48 33 resources resource NNS cord-275814-seirbkiq 48 34 . . . cord-275814-seirbkiq 49 1 This this DT cord-275814-seirbkiq 49 2 section section NN cord-275814-seirbkiq 49 3 describes describe VBZ cord-275814-seirbkiq 49 4 the the DT cord-275814-seirbkiq 49 5 mathematical mathematical JJ cord-275814-seirbkiq 49 6 model model NN cord-275814-seirbkiq 49 7 , , , cord-275814-seirbkiq 49 8 and and CC cord-275814-seirbkiq 49 9 the the DT cord-275814-seirbkiq 49 10 data datum NNS cord-275814-seirbkiq 49 11 and and CC cord-275814-seirbkiq 49 12 model model NN cord-275814-seirbkiq 49 13 parameters parameter NNS cord-275814-seirbkiq 49 14 . . . cord-275814-seirbkiq 50 1 A a DT cord-275814-seirbkiq 50 2 two two CD cord-275814-seirbkiq 50 3 - - HYPH cord-275814-seirbkiq 50 4 city city NN cord-275814-seirbkiq 50 5 model model NN cord-275814-seirbkiq 50 6 is be VBZ cord-275814-seirbkiq 50 7 used use VBN cord-275814-seirbkiq 50 8 to to TO cord-275814-seirbkiq 50 9 express express VB cord-275814-seirbkiq 50 10 the the DT cord-275814-seirbkiq 50 11 spread spread NN cord-275814-seirbkiq 50 12 of of IN cord-275814-seirbkiq 50 13 avian avian JJ cord-275814-seirbkiq 50 14 influenza influenza NN cord-275814-seirbkiq 50 15 from from IN cord-275814-seirbkiq 50 16 its -PRON- PRP$ cord-275814-seirbkiq 50 17 origin origin NN cord-275814-seirbkiq 50 18 in in IN cord-275814-seirbkiq 50 19 an an DT cord-275814-seirbkiq 50 20 Asian asian JJ cord-275814-seirbkiq 50 21 or or CC cord-275814-seirbkiq 50 22 Australian australian JJ cord-275814-seirbkiq 50 23 city city NN cord-275814-seirbkiq 50 24 to to IN cord-275814-seirbkiq 50 25 major major JJ cord-275814-seirbkiq 50 26 cities city NNS cord-275814-seirbkiq 50 27 in in IN cord-275814-seirbkiq 50 28 the the DT cord-275814-seirbkiq 50 29 United United NNP cord-275814-seirbkiq 50 30 States States NNP cord-275814-seirbkiq 50 31 . . . cord-275814-seirbkiq 51 1 A a DT cord-275814-seirbkiq 51 2 single single JJ cord-275814-seirbkiq 51 3 - - HYPH cord-275814-seirbkiq 51 4 city city NN cord-275814-seirbkiq 51 5 model model NN cord-275814-seirbkiq 51 6 is be VBZ cord-275814-seirbkiq 51 7 first first RB cord-275814-seirbkiq 51 8 specified specify VBN cord-275814-seirbkiq 51 9 , , , cord-275814-seirbkiq 51 10 which which WDT cord-275814-seirbkiq 51 11 is be VBZ cord-275814-seirbkiq 51 12 subsequently subsequently RB cord-275814-seirbkiq 51 13 generalized generalize VBN cord-275814-seirbkiq 51 14 to to IN cord-275814-seirbkiq 51 15 a a DT cord-275814-seirbkiq 51 16 two two CD cord-275814-seirbkiq 51 17 - - HYPH cord-275814-seirbkiq 51 18 city city NN cord-275814-seirbkiq 51 19 model model NN cord-275814-seirbkiq 51 20 by by IN cord-275814-seirbkiq 51 21 considering consider VBG cord-275814-seirbkiq 51 22 the the DT cord-275814-seirbkiq 51 23 travel travel NN cord-275814-seirbkiq 51 24 of of IN cord-275814-seirbkiq 51 25 susceptible susceptible JJ cord-275814-seirbkiq 51 26 and and CC cord-275814-seirbkiq 51 27 infected infected JJ cord-275814-seirbkiq 51 28 individuals individual NNS cord-275814-seirbkiq 51 29 with with IN cord-275814-seirbkiq 51 30 the the DT cord-275814-seirbkiq 51 31 new new JJ cord-275814-seirbkiq 51 32 strain strain NN cord-275814-seirbkiq 51 33 of of IN cord-275814-seirbkiq 51 34 avian avian JJ cord-275814-seirbkiq 51 35 influenza influenza NN cord-275814-seirbkiq 51 36 . . . cord-275814-seirbkiq 52 1 Avian avian JJ cord-275814-seirbkiq 52 2 influenza influenza NN cord-275814-seirbkiq 52 3 , , , cord-275814-seirbkiq 52 4 one one CD cord-275814-seirbkiq 52 5 of of IN cord-275814-seirbkiq 52 6 the the DT cord-275814-seirbkiq 52 7 most most RBS cord-275814-seirbkiq 52 8 dangerous dangerous JJ cord-275814-seirbkiq 52 9 diseases disease NNS cord-275814-seirbkiq 52 10 that that WDT cord-275814-seirbkiq 52 11 links link VBZ cord-275814-seirbkiq 52 12 humans human NNS cord-275814-seirbkiq 52 13 and and CC cord-275814-seirbkiq 52 14 animals animal NNS cord-275814-seirbkiq 52 15 , , , cord-275814-seirbkiq 52 16 is be VBZ cord-275814-seirbkiq 52 17 currently currently RB cord-275814-seirbkiq 52 18 the the DT cord-275814-seirbkiq 52 19 foremost foremost JJ cord-275814-seirbkiq 52 20 pandemic pandemic JJ cord-275814-seirbkiq 52 21 threat threat NN cord-275814-seirbkiq 52 22 . . . cord-275814-seirbkiq 53 1 Early early JJ cord-275814-seirbkiq 53 2 mathematical mathematical JJ cord-275814-seirbkiq 53 3 models model NNS cord-275814-seirbkiq 53 4 that that WDT cord-275814-seirbkiq 53 5 investigate investigate VBP cord-275814-seirbkiq 53 6 the the DT cord-275814-seirbkiq 53 7 impact impact NN cord-275814-seirbkiq 53 8 of of IN cord-275814-seirbkiq 53 9 a a DT cord-275814-seirbkiq 53 10 hypothetical hypothetical JJ cord-275814-seirbkiq 53 11 pandemic pandemic NN cord-275814-seirbkiq 53 12 have have VBP cord-275814-seirbkiq 53 13 focused focus VBN cord-275814-seirbkiq 53 14 only only RB cord-275814-seirbkiq 53 15 on on IN cord-275814-seirbkiq 53 16 humans human NNS cord-275814-seirbkiq 53 17 [ [ -LRB- cord-275814-seirbkiq 53 18 1 1 CD cord-275814-seirbkiq 53 19 , , , cord-275814-seirbkiq 53 20 4 4 CD cord-275814-seirbkiq 53 21 , , , cord-275814-seirbkiq 53 22 5 5 CD cord-275814-seirbkiq 53 23 , , , cord-275814-seirbkiq 53 24 10 10 CD cord-275814-seirbkiq 53 25 , , , cord-275814-seirbkiq 53 26 13 13 CD cord-275814-seirbkiq 53 27 ] ] -RRB- cord-275814-seirbkiq 53 28 . . . cord-275814-seirbkiq 54 1 At at IN cord-275814-seirbkiq 54 2 this this DT cord-275814-seirbkiq 54 3 time time NN cord-275814-seirbkiq 54 4 , , , cord-275814-seirbkiq 54 5 the the DT cord-275814-seirbkiq 54 6 avian avian JJ cord-275814-seirbkiq 54 7 influenza influenza NN cord-275814-seirbkiq 54 8 virus virus NN cord-275814-seirbkiq 54 9 can can MD cord-275814-seirbkiq 54 10 only only RB cord-275814-seirbkiq 54 11 be be VB cord-275814-seirbkiq 54 12 transmitted transmit VBN cord-275814-seirbkiq 54 13 from from IN cord-275814-seirbkiq 54 14 birds bird NNS cord-275814-seirbkiq 54 15 to to IN cord-275814-seirbkiq 54 16 humans human NNS cord-275814-seirbkiq 54 17 ; ; : cord-275814-seirbkiq 54 18 it -PRON- PRP cord-275814-seirbkiq 54 19 is be VBZ cord-275814-seirbkiq 54 20 not not RB cord-275814-seirbkiq 54 21 yet yet RB cord-275814-seirbkiq 54 22 capable capable JJ cord-275814-seirbkiq 54 23 of of IN cord-275814-seirbkiq 54 24 sustained sustained JJ cord-275814-seirbkiq 54 25 human human NN cord-275814-seirbkiq 54 26 - - HYPH cord-275814-seirbkiq 54 27 to to IN cord-275814-seirbkiq 54 28 - - HYPH cord-275814-seirbkiq 54 29 human human JJ cord-275814-seirbkiq 54 30 transmission transmission NN cord-275814-seirbkiq 54 31 . . . cord-275814-seirbkiq 55 1 Most Most JJS cord-275814-seirbkiq 55 2 of of IN cord-275814-seirbkiq 55 3 the the DT cord-275814-seirbkiq 55 4 human human JJ cord-275814-seirbkiq 55 5 cases case NNS cord-275814-seirbkiq 55 6 reported report VBN cord-275814-seirbkiq 55 7 to to IN cord-275814-seirbkiq 55 8 the the DT cord-275814-seirbkiq 55 9 WHO who WP cord-275814-seirbkiq 55 10 were be VBD cord-275814-seirbkiq 55 11 due due JJ cord-275814-seirbkiq 55 12 to to TO cord-275814-seirbkiq 55 13 close close VB cord-275814-seirbkiq 55 14 contact contact NN cord-275814-seirbkiq 55 15 between between IN cord-275814-seirbkiq 55 16 humans human NNS cord-275814-seirbkiq 55 17 and and CC cord-275814-seirbkiq 55 18 domestic domestic JJ cord-275814-seirbkiq 55 19 birds bird NNS cord-275814-seirbkiq 55 20 . . . cord-275814-seirbkiq 56 1 Recent recent JJ cord-275814-seirbkiq 56 2 mathematical mathematical JJ cord-275814-seirbkiq 56 3 models model NNS cord-275814-seirbkiq 56 4 capture capture VBP cord-275814-seirbkiq 56 5 the the DT cord-275814-seirbkiq 56 6 bird bird NN cord-275814-seirbkiq 56 7 - - HYPH cord-275814-seirbkiq 56 8 to to IN cord-275814-seirbkiq 56 9 - - HYPH cord-275814-seirbkiq 56 10 human human JJ cord-275814-seirbkiq 56 11 transmission transmission NN cord-275814-seirbkiq 56 12 pathway pathway NN cord-275814-seirbkiq 56 13 of of IN cord-275814-seirbkiq 56 14 avian avian JJ cord-275814-seirbkiq 56 15 influenza influenza NN cord-275814-seirbkiq 56 16 [ [ -LRB- cord-275814-seirbkiq 56 17 6 6 CD cord-275814-seirbkiq 56 18 ] ] -RRB- cord-275814-seirbkiq 56 19 [ [ -LRB- cord-275814-seirbkiq 56 20 7 7 CD cord-275814-seirbkiq 56 21 ] ] -RRB- cord-275814-seirbkiq 57 1 [ [ -LRB- cord-275814-seirbkiq 57 2 8 8 CD cord-275814-seirbkiq 57 3 ] ] -RRB- cord-275814-seirbkiq 57 4 [ [ -LRB- cord-275814-seirbkiq 57 5 9 9 CD cord-275814-seirbkiq 57 6 ] ] -RRB- cord-275814-seirbkiq 57 7 . . . cord-275814-seirbkiq 58 1 The the DT cord-275814-seirbkiq 58 2 simplest simple JJS cord-275814-seirbkiq 58 3 bird bird NN cord-275814-seirbkiq 58 4 - - HYPH cord-275814-seirbkiq 58 5 tohuman tohuman NN cord-275814-seirbkiq 58 6 model model NN cord-275814-seirbkiq 58 7 was be VBD cord-275814-seirbkiq 58 8 introduced introduce VBN cord-275814-seirbkiq 58 9 by by IN cord-275814-seirbkiq 58 10 Iwami Iwami NNP cord-275814-seirbkiq 58 11 et et NNP cord-275814-seirbkiq 58 12 al al NNP cord-275814-seirbkiq 58 13 . . . cord-275814-seirbkiq 59 1 [ [ -LRB- cord-275814-seirbkiq 59 2 7 7 CD cord-275814-seirbkiq 59 3 ] ] -RRB- cord-275814-seirbkiq 59 4 ; ; : cord-275814-seirbkiq 59 5 this this DT cord-275814-seirbkiq 59 6 model model NN cord-275814-seirbkiq 59 7 is be VBZ cord-275814-seirbkiq 59 8 the the DT cord-275814-seirbkiq 59 9 starting starting NN cord-275814-seirbkiq 59 10 point point NN cord-275814-seirbkiq 59 11 for for IN cord-275814-seirbkiq 59 12 the the DT cord-275814-seirbkiq 59 13 single single JJ cord-275814-seirbkiq 59 14 - - HYPH cord-275814-seirbkiq 59 15 city city NN cord-275814-seirbkiq 59 16 model model NN cord-275814-seirbkiq 59 17 presented present VBN cord-275814-seirbkiq 59 18 in in IN cord-275814-seirbkiq 59 19 this this DT cord-275814-seirbkiq 59 20 paper paper NN cord-275814-seirbkiq 59 21 . . . cord-275814-seirbkiq 60 1 The the DT cord-275814-seirbkiq 60 2 notation notation NN cord-275814-seirbkiq 60 3 used use VBN cord-275814-seirbkiq 60 4 in in IN cord-275814-seirbkiq 60 5 our -PRON- PRP$ cord-275814-seirbkiq 60 6 model model NN cord-275814-seirbkiq 60 7 is be VBZ cord-275814-seirbkiq 60 8 different different JJ cord-275814-seirbkiq 60 9 , , , cord-275814-seirbkiq 60 10 but but CC cord-275814-seirbkiq 60 11 the the DT cord-275814-seirbkiq 60 12 two two CD cord-275814-seirbkiq 60 13 models model NNS cord-275814-seirbkiq 60 14 are be VBP cord-275814-seirbkiq 60 15 equivalent equivalent JJ cord-275814-seirbkiq 60 16 . . . cord-275814-seirbkiq 61 1 In in IN cord-275814-seirbkiq 61 2 our -PRON- PRP$ cord-275814-seirbkiq 61 3 single single JJ cord-275814-seirbkiq 61 4 - - HYPH cord-275814-seirbkiq 61 5 city city NN cord-275814-seirbkiq 61 6 model model NN cord-275814-seirbkiq 61 7 , , , cord-275814-seirbkiq 61 8 the the DT cord-275814-seirbkiq 61 9 domestic domestic JJ cord-275814-seirbkiq 61 10 bird bird NN cord-275814-seirbkiq 61 11 population population NN cord-275814-seirbkiq 61 12 is be VBZ cord-275814-seirbkiq 61 13 divided divide VBN cord-275814-seirbkiq 61 14 into into IN cord-275814-seirbkiq 61 15 two two CD cord-275814-seirbkiq 61 16 non non JJ cord-275814-seirbkiq 61 17 - - JJ cord-275814-seirbkiq 61 18 intersecting intersecting JJ cord-275814-seirbkiq 61 19 classes class NNS cord-275814-seirbkiq 61 20 : : : cord-275814-seirbkiq 61 21 susceptible susceptible JJ cord-275814-seirbkiq 61 22 domestic domestic JJ cord-275814-seirbkiq 61 23 birds bird NNS cord-275814-seirbkiq 61 24 denoted denote VBN cord-275814-seirbkiq 61 25 by by IN cord-275814-seirbkiq 61 26 S S NNP cord-275814-seirbkiq 61 27 d d NN cord-275814-seirbkiq 61 28 ( ( -LRB- cord-275814-seirbkiq 61 29 t t NN cord-275814-seirbkiq 61 30 ) ) -RRB- cord-275814-seirbkiq 61 31 and and CC cord-275814-seirbkiq 61 32 infected infect VBN cord-275814-seirbkiq 61 33 domestic domestic JJ cord-275814-seirbkiq 61 34 birds bird NNS cord-275814-seirbkiq 61 35 denoted denote VBN cord-275814-seirbkiq 61 36 by by IN cord-275814-seirbkiq 61 37 I i NN cord-275814-seirbkiq 61 38 d d NN cord-275814-seirbkiq 61 39 ( ( -LRB- cord-275814-seirbkiq 61 40 t t NN cord-275814-seirbkiq 61 41 ) ) -RRB- cord-275814-seirbkiq 61 42 . . . cord-275814-seirbkiq 62 1 The the DT cord-275814-seirbkiq 62 2 natural natural JJ cord-275814-seirbkiq 62 3 birth birth NN cord-275814-seirbkiq 62 4 rate rate NN cord-275814-seirbkiq 62 5 of of IN cord-275814-seirbkiq 62 6 the the DT cord-275814-seirbkiq 62 7 bird bird NN cord-275814-seirbkiq 62 8 population population NN cord-275814-seirbkiq 62 9 is be VBZ cord-275814-seirbkiq 62 10 expressed express VBN cord-275814-seirbkiq 62 11 by by IN cord-275814-seirbkiq 62 12 Λ Λ NNP cord-275814-seirbkiq 62 13 d d NN cord-275814-seirbkiq 62 14 . . . cord-275814-seirbkiq 63 1 Susceptible susceptible JJ cord-275814-seirbkiq 63 2 birds bird NNS cord-275814-seirbkiq 63 3 have have VBP cord-275814-seirbkiq 63 4 a a DT cord-275814-seirbkiq 63 5 natural natural JJ cord-275814-seirbkiq 63 6 death death NN cord-275814-seirbkiq 63 7 rate rate NN cord-275814-seirbkiq 63 8 μ μ NN cord-275814-seirbkiq 63 9 d d VBN cord-275814-seirbkiq 63 10 while while IN cord-275814-seirbkiq 63 11 infected infected JJ cord-275814-seirbkiq 63 12 birds bird NNS cord-275814-seirbkiq 63 13 die die VBP cord-275814-seirbkiq 63 14 at at IN cord-275814-seirbkiq 63 15 the the DT cord-275814-seirbkiq 63 16 rate rate NN cord-275814-seirbkiq 64 1 μ μ NNP cord-275814-seirbkiq 64 2 d d NNP cord-275814-seirbkiq 65 1 þ þ NNP cord-275814-seirbkiq 65 2 ν ν NNP cord-275814-seirbkiq 65 3 d d NNP cord-275814-seirbkiq 65 4 , , , cord-275814-seirbkiq 65 5 where where WRB cord-275814-seirbkiq 65 6 the the DT cord-275814-seirbkiq 65 7 additional additional JJ cord-275814-seirbkiq 65 8 death death NN cord-275814-seirbkiq 65 9 rate rate NN cord-275814-seirbkiq 65 10 ν ν NNP cord-275814-seirbkiq 65 11 d d NNP cord-275814-seirbkiq 65 12 is be VBZ cord-275814-seirbkiq 65 13 induced induce VBN cord-275814-seirbkiq 65 14 by by IN cord-275814-seirbkiq 65 15 HPAI HPAI NNP cord-275814-seirbkiq 65 16 . . . cord-275814-seirbkiq 66 1 Susceptible susceptible JJ cord-275814-seirbkiq 66 2 humans human NNS cord-275814-seirbkiq 66 3 are be VBP cord-275814-seirbkiq 66 4 denoted denote VBN cord-275814-seirbkiq 66 5 by by IN cord-275814-seirbkiq 66 6 S(t S(t NNS cord-275814-seirbkiq 66 7 ) ) -RRB- cord-275814-seirbkiq 66 8 and and CC cord-275814-seirbkiq 66 9 infected infect VBN cord-275814-seirbkiq 66 10 humans human NNS cord-275814-seirbkiq 66 11 by by IN cord-275814-seirbkiq 66 12 I(t I(t NNP cord-275814-seirbkiq 66 13 ) ) -RRB- cord-275814-seirbkiq 66 14 . . . cord-275814-seirbkiq 67 1 The the DT cord-275814-seirbkiq 67 2 natural natural JJ cord-275814-seirbkiq 67 3 birth birth NN cord-275814-seirbkiq 67 4 rate rate NN cord-275814-seirbkiq 67 5 of of IN cord-275814-seirbkiq 67 6 the the DT cord-275814-seirbkiq 67 7 human human JJ cord-275814-seirbkiq 67 8 population population NN cord-275814-seirbkiq 67 9 is be VBZ cord-275814-seirbkiq 67 10 denoted denote VBN cord-275814-seirbkiq 67 11 by by IN cord-275814-seirbkiq 67 12 Λ. Λ. NNP cord-275814-seirbkiq 67 13 Susceptible susceptible JJ cord-275814-seirbkiq 67 14 humans human NNS cord-275814-seirbkiq 67 15 die die VBP cord-275814-seirbkiq 67 16 at at IN cord-275814-seirbkiq 67 17 the the DT cord-275814-seirbkiq 67 18 rate rate NN cord-275814-seirbkiq 67 19 μ μ NN cord-275814-seirbkiq 67 20 while while IN cord-275814-seirbkiq 67 21 infected infected JJ cord-275814-seirbkiq 67 22 humans human NNS cord-275814-seirbkiq 67 23 die die VBP cord-275814-seirbkiq 67 24 at at IN cord-275814-seirbkiq 67 25 the the DT cord-275814-seirbkiq 67 26 rate rate NN cord-275814-seirbkiq 67 27 μ μ NN cord-275814-seirbkiq 67 28 þ þ NNP cord-275814-seirbkiq 67 29 ν ν NNP cord-275814-seirbkiq 67 30 , , , cord-275814-seirbkiq 67 31 where where WRB cord-275814-seirbkiq 67 32 ν ν NNP cord-275814-seirbkiq 67 33 is be VBZ cord-275814-seirbkiq 67 34 the the DT cord-275814-seirbkiq 67 35 additional additional JJ cord-275814-seirbkiq 67 36 death death NN cord-275814-seirbkiq 67 37 rate rate NN cord-275814-seirbkiq 67 38 due due IN cord-275814-seirbkiq 67 39 to to IN cord-275814-seirbkiq 67 40 avian avian JJ cord-275814-seirbkiq 67 41 influenza influenza NN cord-275814-seirbkiq 67 42 . . . cord-275814-seirbkiq 68 1 The the DT cord-275814-seirbkiq 68 2 single single JJ cord-275814-seirbkiq 68 3 city city NN cord-275814-seirbkiq 68 4 model model NN cord-275814-seirbkiq 68 5 , , , cord-275814-seirbkiq 68 6 which which WDT cord-275814-seirbkiq 68 7 comprises comprise VBZ cord-275814-seirbkiq 68 8 the the DT cord-275814-seirbkiq 68 9 bird bird NN cord-275814-seirbkiq 68 10 and and CC cord-275814-seirbkiq 68 11 human human JJ cord-275814-seirbkiq 68 12 populations population NNS cord-275814-seirbkiq 68 13 , , , cord-275814-seirbkiq 68 14 is be VBZ cord-275814-seirbkiq 68 15 given give VBN cord-275814-seirbkiq 68 16 by by IN cord-275814-seirbkiq 68 17 The the DT cord-275814-seirbkiq 68 18 force force NN cord-275814-seirbkiq 68 19 of of IN cord-275814-seirbkiq 68 20 the the DT cord-275814-seirbkiq 68 21 infection infection NN cord-275814-seirbkiq 68 22 in in IN cord-275814-seirbkiq 68 23 the the DT cord-275814-seirbkiq 68 24 domestic domestic JJ cord-275814-seirbkiq 68 25 bird bird NN cord-275814-seirbkiq 68 26 population population NN cord-275814-seirbkiq 68 27 is be VBZ cord-275814-seirbkiq 68 28 denoted denote VBN cord-275814-seirbkiq 68 29 by by IN cord-275814-seirbkiq 68 30 β β FW cord-275814-seirbkiq 68 31 d d NNP cord-275814-seirbkiq 68 32 I I NNP cord-275814-seirbkiq 68 33 d d NNP cord-275814-seirbkiq 68 34 S S NNP cord-275814-seirbkiq 68 35 d d NN cord-275814-seirbkiq 68 36 , , , cord-275814-seirbkiq 68 37 where where WRB cord-275814-seirbkiq 68 38 β β NNP cord-275814-seirbkiq 68 39 d d NNP cord-275814-seirbkiq 68 40 is be VBZ cord-275814-seirbkiq 68 41 the the DT cord-275814-seirbkiq 68 42 transmission transmission NN cord-275814-seirbkiq 68 43 rate rate NN cord-275814-seirbkiq 68 44 at at IN cord-275814-seirbkiq 68 45 which which WDT cord-275814-seirbkiq 68 46 a a DT cord-275814-seirbkiq 68 47 susceptible susceptible JJ cord-275814-seirbkiq 68 48 bird bird NN cord-275814-seirbkiq 68 49 contracts contract NNS cord-275814-seirbkiq 68 50 avian avian JJ cord-275814-seirbkiq 68 51 influenza influenza NN cord-275814-seirbkiq 68 52 from from IN cord-275814-seirbkiq 68 53 an an DT cord-275814-seirbkiq 68 54 i i NN cord-275814-seirbkiq 68 55 n n NN cord-275814-seirbkiq 68 56 t t NN cord-275814-seirbkiq 68 57 e e NN cord-275814-seirbkiq 68 58 r r NN cord-275814-seirbkiq 68 59 n n NN cord-275814-seirbkiq 68 60 a a DT cord-275814-seirbkiq 68 61 t t NN cord-275814-seirbkiq 69 1 i i PRP cord-275814-seirbkiq 69 2 o o VBP cord-275814-seirbkiq 69 3 n n NN cord-275814-seirbkiq 69 4 a a DT cord-275814-seirbkiq 69 5 l l NN cord-275814-seirbkiq 69 6 j j NNP cord-275814-seirbkiq 69 7 o o NN cord-275814-seirbkiq 69 8 u u NN cord-275814-seirbkiq 69 9 r r NNP cord-275814-seirbkiq 69 10 n n NN cord-275814-seirbkiq 69 11 a a FW cord-275814-seirbkiq 69 12 l l NN cord-275814-seirbkiq 69 13 o o NN cord-275814-seirbkiq 69 14 f f NN cord-275814-seirbkiq 69 15 c c NN cord-275814-seirbkiq 69 16 r r NN cord-275814-seirbkiq 70 1 i i PRP cord-275814-seirbkiq 70 2 t t NNP cord-275814-seirbkiq 71 1 i i PRP cord-275814-seirbkiq 72 1 c c NNP cord-275814-seirbkiq 72 2 a a NNP cord-275814-seirbkiq 72 3 l l NN cord-275814-seirbkiq 72 4 i i NN cord-275814-seirbkiq 73 1 n n CC cord-275814-seirbkiq 73 2 f f NNP cord-275814-seirbkiq 73 3 r r NNP cord-275814-seirbkiq 73 4 a a NNP cord-275814-seirbkiq 73 5 s s NN cord-275814-seirbkiq 73 6 t t NN cord-275814-seirbkiq 74 1 r r NNP cord-275814-seirbkiq 74 2 u u NN cord-275814-seirbkiq 74 3 c c NN cord-275814-seirbkiq 74 4 t t NN cord-275814-seirbkiq 75 1 u u NNP cord-275814-seirbkiq 75 2 r r NN cord-275814-seirbkiq 75 3 e e NN cord-275814-seirbkiq 75 4 p p NN cord-275814-seirbkiq 76 1 r r LS cord-275814-seirbkiq 77 1 o o UH cord-275814-seirbkiq 78 1 t t NNP cord-275814-seirbkiq 79 1 e e LS cord-275814-seirbkiq 79 2 c c NNP cord-275814-seirbkiq 79 3 t t NN cord-275814-seirbkiq 80 1 i i PRP cord-275814-seirbkiq 81 1 o o UH cord-275814-seirbkiq 81 2 n n NN cord-275814-seirbkiq 81 3 7 7 CD cord-275814-seirbkiq 81 4 ( ( -LRB- cord-275814-seirbkiq 81 5 2 2 CD cord-275814-seirbkiq 81 6 0 0 CD cord-275814-seirbkiq 81 7 1 1 CD cord-275814-seirbkiq 81 8 4 4 CD cord-275814-seirbkiq 81 9 ) ) -RRB- cord-275814-seirbkiq 81 10 2 2 CD cord-275814-seirbkiq 81 11 7 7 CD cord-275814-seirbkiq 81 12 -4 -4 SYM cord-275814-seirbkiq 81 13 7 7 CD cord-275814-seirbkiq 81 14 infected infect VBN cord-275814-seirbkiq 81 15 bird bird NN cord-275814-seirbkiq 81 16 . . . cord-275814-seirbkiq 82 1 The the DT cord-275814-seirbkiq 82 2 incidence incidence NN cord-275814-seirbkiq 82 3 rate rate NN cord-275814-seirbkiq 82 4 in in IN cord-275814-seirbkiq 82 5 the the DT cord-275814-seirbkiq 82 6 human human JJ cord-275814-seirbkiq 82 7 population population NN cord-275814-seirbkiq 82 8 is be VBZ cord-275814-seirbkiq 82 9 denoted denote VBN cord-275814-seirbkiq 82 10 by by IN cord-275814-seirbkiq 82 11 βI βi XX cord-275814-seirbkiq 82 12 d d NNP cord-275814-seirbkiq 82 13 S S NNP cord-275814-seirbkiq 82 14 , , , cord-275814-seirbkiq 82 15 where where WRB cord-275814-seirbkiq 82 16 β β NN cord-275814-seirbkiq 82 17 is be VBZ cord-275814-seirbkiq 82 18 the the DT cord-275814-seirbkiq 82 19 rate rate NN cord-275814-seirbkiq 82 20 at at IN cord-275814-seirbkiq 82 21 which which WDT cord-275814-seirbkiq 82 22 a a DT cord-275814-seirbkiq 82 23 susceptible susceptible JJ cord-275814-seirbkiq 82 24 human human JJ cord-275814-seirbkiq 82 25 contracts contract NNS cord-275814-seirbkiq 82 26 avian avian JJ cord-275814-seirbkiq 82 27 influenza influenza NN cord-275814-seirbkiq 82 28 upon upon IN cord-275814-seirbkiq 82 29 contact contact NN cord-275814-seirbkiq 82 30 with with IN cord-275814-seirbkiq 82 31 an an DT cord-275814-seirbkiq 82 32 infected infected JJ cord-275814-seirbkiq 82 33 bird bird NN cord-275814-seirbkiq 82 34 . . . cord-275814-seirbkiq 83 1 To to TO cord-275814-seirbkiq 83 2 investigate investigate VB cord-275814-seirbkiq 83 3 the the DT cord-275814-seirbkiq 83 4 impact impact NN cord-275814-seirbkiq 83 5 of of IN cord-275814-seirbkiq 83 6 a a DT cord-275814-seirbkiq 83 7 hypothetical hypothetical JJ cord-275814-seirbkiq 83 8 pandemic pandemic NN cord-275814-seirbkiq 83 9 , , , cord-275814-seirbkiq 83 10 we -PRON- PRP cord-275814-seirbkiq 83 11 assume assume VBP cord-275814-seirbkiq 83 12 that that IN cord-275814-seirbkiq 83 13 avian avian JJ cord-275814-seirbkiq 83 14 influenza influenza NN cord-275814-seirbkiq 83 15 evolves evolve VBZ cord-275814-seirbkiq 83 16 to to TO cord-275814-seirbkiq 83 17 become become VB cord-275814-seirbkiq 83 18 a a DT cord-275814-seirbkiq 83 19 human human JJ cord-275814-seirbkiq 83 20 - - HYPH cord-275814-seirbkiq 83 21 tohuman tohuman NN cord-275814-seirbkiq 83 22 transmissible transmissible JJ cord-275814-seirbkiq 83 23 pathogen pathogen NN cord-275814-seirbkiq 83 24 . . . cord-275814-seirbkiq 84 1 This this DT cord-275814-seirbkiq 84 2 evolution evolution NN cord-275814-seirbkiq 84 3 likely likely RB cord-275814-seirbkiq 84 4 occurs occur VBZ cord-275814-seirbkiq 84 5 as as IN cord-275814-seirbkiq 84 6 a a DT cord-275814-seirbkiq 84 7 result result NN cord-275814-seirbkiq 84 8 of of IN cord-275814-seirbkiq 84 9 one one CD cord-275814-seirbkiq 84 10 of of IN cord-275814-seirbkiq 84 11 two two CD cord-275814-seirbkiq 84 12 evolutionary evolutionary JJ cord-275814-seirbkiq 84 13 mechanisms mechanism NNS cord-275814-seirbkiq 84 14 : : : cord-275814-seirbkiq 84 15 drift drift VB cord-275814-seirbkiq 84 16 and and CC cord-275814-seirbkiq 84 17 shift shift VB cord-275814-seirbkiq 84 18 . . . cord-275814-seirbkiq 85 1 We -PRON- PRP cord-275814-seirbkiq 85 2 assume assume VBP cord-275814-seirbkiq 85 3 that that IN cord-275814-seirbkiq 85 4 the the DT cord-275814-seirbkiq 85 5 mutation mutation NN cord-275814-seirbkiq 85 6 of of IN cord-275814-seirbkiq 85 7 avian avian JJ cord-275814-seirbkiq 85 8 influenza influenza NN cord-275814-seirbkiq 85 9 is be VBZ cord-275814-seirbkiq 85 10 caused cause VBN cord-275814-seirbkiq 85 11 by by IN cord-275814-seirbkiq 85 12 reassortment reassortment NNP cord-275814-seirbkiq 85 13 ( ( -LRB- cord-275814-seirbkiq 85 14 shift shift JJ cord-275814-seirbkiq 85 15 mechanism mechanism NN cord-275814-seirbkiq 85 16 ) ) -RRB- cord-275814-seirbkiq 85 17 and and CC cord-275814-seirbkiq 85 18 denote denote VB cord-275814-seirbkiq 85 19 the the DT cord-275814-seirbkiq 85 20 mutation mutation NN cord-275814-seirbkiq 85 21 rate rate NN cord-275814-seirbkiq 85 22 of of IN cord-275814-seirbkiq 85 23 avian avian JJ cord-275814-seirbkiq 85 24 influenza influenza NN cord-275814-seirbkiq 85 25 into into IN cord-275814-seirbkiq 85 26 a a DT cord-275814-seirbkiq 85 27 pandemic pandemic NN cord-275814-seirbkiq 85 28 influenza influenza NN cord-275814-seirbkiq 85 29 by by IN cord-275814-seirbkiq 85 30 m. m. NN cord-275814-seirbkiq 86 1 The the DT cord-275814-seirbkiq 86 2 new new JJ cord-275814-seirbkiq 86 3 avian avian JJ cord-275814-seirbkiq 86 4 influenza influenza NN cord-275814-seirbkiq 86 5 strain strain NN cord-275814-seirbkiq 86 6 that that WDT cord-275814-seirbkiq 86 7 causes cause VBZ cord-275814-seirbkiq 86 8 a a DT cord-275814-seirbkiq 86 9 pandemic pandemic NN cord-275814-seirbkiq 86 10 is be VBZ cord-275814-seirbkiq 86 11 called call VBN cord-275814-seirbkiq 86 12 " " `` cord-275814-seirbkiq 86 13 pandemic pandemic JJ cord-275814-seirbkiq 86 14 avian avian JJ cord-275814-seirbkiq 86 15 influenza influenza NN cord-275814-seirbkiq 86 16 . . . cord-275814-seirbkiq 86 17 " " '' cord-275814-seirbkiq 87 1 The the DT cord-275814-seirbkiq 87 2 human human JJ cord-275814-seirbkiq 87 3 population population NN cord-275814-seirbkiq 87 4 that that WDT cord-275814-seirbkiq 87 5 is be VBZ cord-275814-seirbkiq 87 6 infected infect VBN cord-275814-seirbkiq 87 7 with with IN cord-275814-seirbkiq 87 8 the the DT cord-275814-seirbkiq 87 9 new new JJ cord-275814-seirbkiq 87 10 strain strain NN cord-275814-seirbkiq 87 11 is be VBZ cord-275814-seirbkiq 87 12 denoted denote VBN cord-275814-seirbkiq 87 13 by by IN cord-275814-seirbkiq 87 14 P(t P(t NNP cord-275814-seirbkiq 87 15 ) ) -RRB- cord-275814-seirbkiq 87 16 . . . cord-275814-seirbkiq 88 1 Infection infection NN cord-275814-seirbkiq 88 2 from from IN cord-275814-seirbkiq 88 3 one one CD cord-275814-seirbkiq 88 4 strain strain NN cord-275814-seirbkiq 88 5 of of IN cord-275814-seirbkiq 88 6 Influenza Influenza NNP cord-275814-seirbkiq 88 7 A a DT cord-275814-seirbkiq 88 8 virus virus NN cord-275814-seirbkiq 88 9 provides provide VBZ cord-275814-seirbkiq 88 10 cross cross NN cord-275814-seirbkiq 88 11 - - NN cord-275814-seirbkiq 88 12 immunity immunity NN cord-275814-seirbkiq 88 13 to to IN cord-275814-seirbkiq 88 14 infections infection NNS cord-275814-seirbkiq 88 15 from from IN cord-275814-seirbkiq 88 16 other other JJ cord-275814-seirbkiq 88 17 strains strain NNS cord-275814-seirbkiq 88 18 . . . cord-275814-seirbkiq 89 1 This this DT cord-275814-seirbkiq 89 2 is be VBZ cord-275814-seirbkiq 89 3 why why WRB cord-275814-seirbkiq 89 4 we -PRON- PRP cord-275814-seirbkiq 89 5 assume assume VBP cord-275814-seirbkiq 89 6 that that IN cord-275814-seirbkiq 89 7 humans human NNS cord-275814-seirbkiq 89 8 infected infect VBN cord-275814-seirbkiq 89 9 with with IN cord-275814-seirbkiq 89 10 pandemic pandemic NN cord-275814-seirbkiq 89 11 avian avian JJ cord-275814-seirbkiq 89 12 influenza influenza NN cord-275814-seirbkiq 89 13 can can MD cord-275814-seirbkiq 89 14 infect infect VB cord-275814-seirbkiq 89 15 susceptible susceptible JJ cord-275814-seirbkiq 89 16 humans human NNS cord-275814-seirbkiq 89 17 , , , cord-275814-seirbkiq 89 18 but but CC cord-275814-seirbkiq 89 19 not not RB cord-275814-seirbkiq 89 20 humans human NNS cord-275814-seirbkiq 89 21 who who WP cord-275814-seirbkiq 89 22 are be VBP cord-275814-seirbkiq 89 23 infected infect VBN cord-275814-seirbkiq 89 24 with with IN cord-275814-seirbkiq 89 25 avian avian JJ cord-275814-seirbkiq 89 26 influenza influenza NN cord-275814-seirbkiq 89 27 . . . cord-275814-seirbkiq 90 1 The the DT cord-275814-seirbkiq 90 2 new new JJ cord-275814-seirbkiq 90 3 incidence incidence NN cord-275814-seirbkiq 90 4 of of IN cord-275814-seirbkiq 90 5 pandemic pandemic NN cord-275814-seirbkiq 90 6 avian avian JJ cord-275814-seirbkiq 90 7 influenza influenza NN cord-275814-seirbkiq 90 8 is be VBZ cord-275814-seirbkiq 90 9 denoted denote VBN cord-275814-seirbkiq 90 10 by by IN cord-275814-seirbkiq 90 11 β β NN cord-275814-seirbkiq 90 12 p p NN cord-275814-seirbkiq 90 13 PS PS NNP cord-275814-seirbkiq 90 14 , , , cord-275814-seirbkiq 90 15 where where WRB cord-275814-seirbkiq 90 16 β β NN cord-275814-seirbkiq 90 17 p p NN cord-275814-seirbkiq 90 18 is be VBZ cord-275814-seirbkiq 90 19 the the DT cord-275814-seirbkiq 90 20 transmission transmission NN cord-275814-seirbkiq 90 21 rate rate NN cord-275814-seirbkiq 90 22 . . . cord-275814-seirbkiq 91 1 The the DT cord-275814-seirbkiq 91 2 additional additional JJ cord-275814-seirbkiq 91 3 death death NN cord-275814-seirbkiq 91 4 rate rate NN cord-275814-seirbkiq 91 5 due due IN cord-275814-seirbkiq 91 6 to to IN cord-275814-seirbkiq 91 7 pandemic pandemic NN cord-275814-seirbkiq 91 8 avian avian JJ cord-275814-seirbkiq 91 9 influenza influenza NN cord-275814-seirbkiq 91 10 is be VBZ cord-275814-seirbkiq 91 11 denoted denote VBN cord-275814-seirbkiq 91 12 by by IN cord-275814-seirbkiq 91 13 ν ν NNP cord-275814-seirbkiq 91 14 p p NN cord-275814-seirbkiq 91 15 . . . cord-275814-seirbkiq 92 1 Table table NN cord-275814-seirbkiq 92 2 1 1 CD cord-275814-seirbkiq 92 3 lists list VBZ cord-275814-seirbkiq 92 4 the the DT cord-275814-seirbkiq 92 5 state state NN cord-275814-seirbkiq 92 6 variables variable NNS cord-275814-seirbkiq 92 7 in in IN cord-275814-seirbkiq 92 8 the the DT cord-275814-seirbkiq 92 9 model model NN cord-275814-seirbkiq 92 10 while while IN cord-275814-seirbkiq 92 11 Table Table NNP cord-275814-seirbkiq 92 12 2 2 CD cord-275814-seirbkiq 92 13 lists list VBZ cord-275814-seirbkiq 92 14 the the DT cord-275814-seirbkiq 92 15 model model NN cord-275814-seirbkiq 92 16 parameters parameter NNS cord-275814-seirbkiq 92 17 . . . cord-275814-seirbkiq 93 1 The the DT cord-275814-seirbkiq 93 2 two two CD cord-275814-seirbkiq 93 3 - - HYPH cord-275814-seirbkiq 93 4 city city NN cord-275814-seirbkiq 93 5 model model NN cord-275814-seirbkiq 93 6 assumes assume VBZ cord-275814-seirbkiq 93 7 that that IN cord-275814-seirbkiq 93 8 the the DT cord-275814-seirbkiq 93 9 pandemic pandemic NN cord-275814-seirbkiq 93 10 originates originate VBZ cord-275814-seirbkiq 93 11 in in IN cord-275814-seirbkiq 93 12 a a DT cord-275814-seirbkiq 93 13 city city NN cord-275814-seirbkiq 93 14 in in IN cord-275814-seirbkiq 93 15 Asia Asia NNP cord-275814-seirbkiq 93 16 or or CC cord-275814-seirbkiq 93 17 Australia Australia NNP cord-275814-seirbkiq 93 18 and and CC cord-275814-seirbkiq 93 19 spreads spread VBZ cord-275814-seirbkiq 93 20 to to IN cord-275814-seirbkiq 93 21 a a DT cord-275814-seirbkiq 93 22 city city NN cord-275814-seirbkiq 93 23 in in IN cord-275814-seirbkiq 93 24 the the DT cord-275814-seirbkiq 93 25 United United NNP cord-275814-seirbkiq 93 26 States States NNP cord-275814-seirbkiq 93 27 by by IN cord-275814-seirbkiq 93 28 air air NN cord-275814-seirbkiq 93 29 travel travel NN cord-275814-seirbkiq 93 30 . . . cord-275814-seirbkiq 94 1 We -PRON- PRP cord-275814-seirbkiq 94 2 only only RB cord-275814-seirbkiq 94 3 consider consider VBP cord-275814-seirbkiq 94 4 the the DT cord-275814-seirbkiq 94 5 air air NN cord-275814-seirbkiq 94 6 travel travel NN cord-275814-seirbkiq 94 7 of of IN cord-275814-seirbkiq 94 8 susceptible susceptible JJ cord-275814-seirbkiq 94 9 and and CC cord-275814-seirbkiq 94 10 infected infected JJ cord-275814-seirbkiq 94 11 humans human NNS cord-275814-seirbkiq 94 12 with with IN cord-275814-seirbkiq 94 13 pandemic pandemic NN cord-275814-seirbkiq 94 14 avian avian JJ cord-275814-seirbkiq 94 15 influenza influenza NN cord-275814-seirbkiq 94 16 because because IN cord-275814-seirbkiq 94 17 the the DT cord-275814-seirbkiq 94 18 infected infect VBN cord-275814-seirbkiq 94 19 individuals individual NNS cord-275814-seirbkiq 94 20 can can MD cord-275814-seirbkiq 94 21 only only RB cord-275814-seirbkiq 94 22 contract contract VB cord-275814-seirbkiq 94 23 the the DT cord-275814-seirbkiq 94 24 disease disease NN cord-275814-seirbkiq 94 25 from from IN cord-275814-seirbkiq 94 26 domestic domestic JJ cord-275814-seirbkiq 94 27 birds bird NNS cord-275814-seirbkiq 94 28 ( ( -LRB- cord-275814-seirbkiq 94 29 that that WDT cord-275814-seirbkiq 94 30 do do VBP cord-275814-seirbkiq 94 31 not not RB cord-275814-seirbkiq 94 32 travel travel VB cord-275814-seirbkiq 94 33 ) ) -RRB- cord-275814-seirbkiq 94 34 . . . cord-275814-seirbkiq 95 1 If if IN cord-275814-seirbkiq 95 2 the the DT cord-275814-seirbkiq 95 3 travel travel NN cord-275814-seirbkiq 95 4 of of IN cord-275814-seirbkiq 95 5 humans human NNS cord-275814-seirbkiq 95 6 is be VBZ cord-275814-seirbkiq 95 7 not not RB cord-275814-seirbkiq 95 8 considered consider VBN cord-275814-seirbkiq 95 9 , , , cord-275814-seirbkiq 95 10 then then RB cord-275814-seirbkiq 95 11 the the DT cord-275814-seirbkiq 95 12 pandemic pandemic NN cord-275814-seirbkiq 95 13 is be VBZ cord-275814-seirbkiq 95 14 modeled model VBN cord-275814-seirbkiq 95 15 within within IN cord-275814-seirbkiq 95 16 each each DT cord-275814-seirbkiq 95 17 city city NN cord-275814-seirbkiq 95 18 by by IN cord-275814-seirbkiq 95 19 a a DT cord-275814-seirbkiq 95 20 single single JJ cord-275814-seirbkiq 95 21 - - HYPH cord-275814-seirbkiq 95 22 city city NN cord-275814-seirbkiq 95 23 model model NN cord-275814-seirbkiq 95 24 . . . cord-275814-seirbkiq 96 1 In in IN cord-275814-seirbkiq 96 2 the the DT cord-275814-seirbkiq 96 3 following following NN cord-275814-seirbkiq 96 4 , , , cord-275814-seirbkiq 96 5 we -PRON- PRP cord-275814-seirbkiq 96 6 use use VBP cord-275814-seirbkiq 96 7 subscripts subscript NNS cord-275814-seirbkiq 96 8 to to TO cord-275814-seirbkiq 96 9 distinguish distinguish VB cord-275814-seirbkiq 96 10 cities city NNS cord-275814-seirbkiq 96 11 . . . cord-275814-seirbkiq 97 1 The the DT cord-275814-seirbkiq 97 2 travel travel NN cord-275814-seirbkiq 97 3 rate rate NN cord-275814-seirbkiq 97 4 of of IN cord-275814-seirbkiq 97 5 individuals individual NNS cord-275814-seirbkiq 97 6 from from IN cord-275814-seirbkiq 97 7 City city NN cord-275814-seirbkiq 97 8 1 1 CD cord-275814-seirbkiq 97 9 to to IN cord-275814-seirbkiq 97 10 City city NN cord-275814-seirbkiq 97 11 2 2 CD cord-275814-seirbkiq 97 12 is be VBZ cord-275814-seirbkiq 97 13 denoted denote VBN cord-275814-seirbkiq 97 14 as as IN cord-275814-seirbkiq 97 15 k k NNP cord-275814-seirbkiq 97 16 1 1 CD cord-275814-seirbkiq 97 17 and and CC cord-275814-seirbkiq 97 18 the the DT cord-275814-seirbkiq 97 19 corresponding corresponding JJ cord-275814-seirbkiq 97 20 travel travel NN cord-275814-seirbkiq 97 21 rate rate NN cord-275814-seirbkiq 97 22 from from IN cord-275814-seirbkiq 97 23 City city NN cord-275814-seirbkiq 97 24 2 2 CD cord-275814-seirbkiq 97 25 to to IN cord-275814-seirbkiq 97 26 City city NN cord-275814-seirbkiq 97 27 1 1 CD cord-275814-seirbkiq 97 28 is be VBZ cord-275814-seirbkiq 97 29 denoted denote VBN cord-275814-seirbkiq 97 30 by by IN cord-275814-seirbkiq 97 31 k k NNP cord-275814-seirbkiq 97 32 2 2 CD cord-275814-seirbkiq 97 33 . . . cord-275814-seirbkiq 98 1 The the DT cord-275814-seirbkiq 98 2 two two CD cord-275814-seirbkiq 98 3 - - HYPH cord-275814-seirbkiq 98 4 city city NN cord-275814-seirbkiq 98 5 model model NN cord-275814-seirbkiq 98 6 is be VBZ cord-275814-seirbkiq 98 7 given give VBN cord-275814-seirbkiq 98 8 by by IN cord-275814-seirbkiq 99 1 We -PRON- PRP cord-275814-seirbkiq 99 2 assume assume VBP cord-275814-seirbkiq 99 3 that that IN cord-275814-seirbkiq 99 4 individuals individual NNS cord-275814-seirbkiq 99 5 infected infect VBN cord-275814-seirbkiq 99 6 with with IN cord-275814-seirbkiq 99 7 pandemic pandemic NN cord-275814-seirbkiq 99 8 avian avian JJ cord-275814-seirbkiq 99 9 influenza influenza NN cord-275814-seirbkiq 99 10 have have VBP cord-275814-seirbkiq 99 11 minor minor JJ cord-275814-seirbkiq 99 12 flu flu NN cord-275814-seirbkiq 99 13 - - HYPH cord-275814-seirbkiq 99 14 like like JJ cord-275814-seirbkiq 99 15 symptoms symptom NNS cord-275814-seirbkiq 99 16 and and CC cord-275814-seirbkiq 99 17 , , , cord-275814-seirbkiq 99 18 therefore therefore RB cord-275814-seirbkiq 99 19 , , , cord-275814-seirbkiq 99 20 are be VBP cord-275814-seirbkiq 99 21 " " `` cord-275814-seirbkiq 99 22 well well RB cord-275814-seirbkiq 99 23 enough enough RB cord-275814-seirbkiq 99 24 " " '' cord-275814-seirbkiq 99 25 to to TO cord-275814-seirbkiq 99 26 continue continue VB cord-275814-seirbkiq 99 27 with with IN cord-275814-seirbkiq 99 28 their -PRON- PRP$ cord-275814-seirbkiq 99 29 travel travel NN cord-275814-seirbkiq 99 30 plans plan NNS cord-275814-seirbkiq 99 31 . . . cord-275814-seirbkiq 100 1 Thus thus RB cord-275814-seirbkiq 100 2 , , , cord-275814-seirbkiq 100 3 the the DT cord-275814-seirbkiq 100 4 travel travel NN cord-275814-seirbkiq 100 5 rate rate NN cord-275814-seirbkiq 100 6 for for IN cord-275814-seirbkiq 100 7 infected infected JJ cord-275814-seirbkiq 100 8 individuals individual NNS cord-275814-seirbkiq 100 9 is be VBZ cord-275814-seirbkiq 100 10 the the DT cord-275814-seirbkiq 100 11 same same JJ cord-275814-seirbkiq 100 12 as as IN cord-275814-seirbkiq 100 13 that that DT cord-275814-seirbkiq 100 14 for for IN cord-275814-seirbkiq 100 15 susceptible susceptible JJ cord-275814-seirbkiq 100 16 individuals individual NNS cord-275814-seirbkiq 100 17 . . . cord-275814-seirbkiq 101 1 Fig Fig NNP cord-275814-seirbkiq 101 2 . . NNP cord-275814-seirbkiq 101 3 1 1 CD cord-275814-seirbkiq 101 4 shows show VBZ cord-275814-seirbkiq 101 5 the the DT cord-275814-seirbkiq 101 6 movements movement NNS cord-275814-seirbkiq 101 7 of of IN cord-275814-seirbkiq 101 8 individuals individual NNS cord-275814-seirbkiq 101 9 between between IN cord-275814-seirbkiq 101 10 City city NN cord-275814-seirbkiq 101 11 1 1 CD cord-275814-seirbkiq 101 12 and and CC cord-275814-seirbkiq 101 13 City City NNP cord-275814-seirbkiq 101 14 2 2 CD cord-275814-seirbkiq 101 15 through through IN cord-275814-seirbkiq 101 16 the the DT cord-275814-seirbkiq 101 17 various various JJ cord-275814-seirbkiq 101 18 stages stage NNS cord-275814-seirbkiq 101 19 of of IN cord-275814-seirbkiq 101 20 the the DT cord-275814-seirbkiq 101 21 disease disease NN cord-275814-seirbkiq 101 22 . . . cord-275814-seirbkiq 102 1 In in IN cord-275814-seirbkiq 102 2 the the DT cord-275814-seirbkiq 102 3 model model NN cord-275814-seirbkiq 102 4 , , , cord-275814-seirbkiq 102 5 the the DT cord-275814-seirbkiq 102 6 transmission transmission NN cord-275814-seirbkiq 102 7 of of IN cord-275814-seirbkiq 102 8 pandemic pandemic NN cord-275814-seirbkiq 102 9 avian avian JJ cord-275814-seirbkiq 102 10 influenza influenza NN cord-275814-seirbkiq 102 11 occurs occur VBZ cord-275814-seirbkiq 102 12 only only RB cord-275814-seirbkiq 102 13 between between IN cord-275814-seirbkiq 102 14 individuals individual NNS cord-275814-seirbkiq 102 15 in in IN cord-275814-seirbkiq 102 16 a a DT cord-275814-seirbkiq 102 17 city city NN cord-275814-seirbkiq 102 18 . . . cord-275814-seirbkiq 103 1 Specifically specifically RB cord-275814-seirbkiq 103 2 , , , cord-275814-seirbkiq 103 3 infected infected JJ cord-275814-seirbkiq 103 4 individuals individual NNS cord-275814-seirbkiq 103 5 in in IN cord-275814-seirbkiq 103 6 one one CD cord-275814-seirbkiq 103 7 city city NN cord-275814-seirbkiq 103 8 do do VBP cord-275814-seirbkiq 103 9 not not RB cord-275814-seirbkiq 103 10 directly directly RB cord-275814-seirbkiq 103 11 infect infect VB cord-275814-seirbkiq 103 12 individuals individual NNS cord-275814-seirbkiq 103 13 in in IN cord-275814-seirbkiq 103 14 another another DT cord-275814-seirbkiq 103 15 city city NN cord-275814-seirbkiq 103 16 . . . cord-275814-seirbkiq 104 1 This this DT cord-275814-seirbkiq 104 2 assumption assumption NN cord-275814-seirbkiq 104 3 is be VBZ cord-275814-seirbkiq 104 4 motivated motivate VBN cord-275814-seirbkiq 104 5 by by IN cord-275814-seirbkiq 104 6 the the DT cord-275814-seirbkiq 104 7 fact fact NN cord-275814-seirbkiq 104 8 that that IN cord-275814-seirbkiq 104 9 individuals individual NNS cord-275814-seirbkiq 104 10 in in IN cord-275814-seirbkiq 104 11 a a DT cord-275814-seirbkiq 104 12 city city NN cord-275814-seirbkiq 104 13 are be VBP cord-275814-seirbkiq 104 14 much much RB cord-275814-seirbkiq 104 15 more more RBR cord-275814-seirbkiq 104 16 likely likely JJ cord-275814-seirbkiq 104 17 to to TO cord-275814-seirbkiq 104 18 be be VB cord-275814-seirbkiq 104 19 in in IN cord-275814-seirbkiq 104 20 contact contact NN cord-275814-seirbkiq 104 21 with with IN cord-275814-seirbkiq 104 22 city city NN cord-275814-seirbkiq 104 23 residents resident NNS cord-275814-seirbkiq 104 24 than than IN cord-275814-seirbkiq 104 25 touriststhe touriststhe DT cord-275814-seirbkiq 104 26 number number NN cord-275814-seirbkiq 104 27 of of IN cord-275814-seirbkiq 104 28 contacts contact NNS cord-275814-seirbkiq 104 29 between between IN cord-275814-seirbkiq 104 30 city city NN cord-275814-seirbkiq 104 31 residents resident NNS cord-275814-seirbkiq 104 32 is be VBZ cord-275814-seirbkiq 104 33 extremely extremely RB cord-275814-seirbkiq 104 34 large large JJ cord-275814-seirbkiq 104 35 compared compare VBN cord-275814-seirbkiq 104 36 with with IN cord-275814-seirbkiq 104 37 the the DT cord-275814-seirbkiq 104 38 number number NN cord-275814-seirbkiq 104 39 of of IN cord-275814-seirbkiq 104 40 contacts contact NNS cord-275814-seirbkiq 104 41 between between IN cord-275814-seirbkiq 104 42 residents resident NNS cord-275814-seirbkiq 104 43 and and CC cord-275814-seirbkiq 104 44 tourists tourist NNS cord-275814-seirbkiq 104 45 on on IN cord-275814-seirbkiq 104 46 a a DT cord-275814-seirbkiq 104 47 given give VBN cord-275814-seirbkiq 104 48 day day NN cord-275814-seirbkiq 104 49 . . . cord-275814-seirbkiq 105 1 We -PRON- PRP cord-275814-seirbkiq 105 2 also also RB cord-275814-seirbkiq 105 3 assume assume VBP cord-275814-seirbkiq 105 4 that that IN cord-275814-seirbkiq 105 5 the the DT cord-275814-seirbkiq 105 6 transmission transmission NN cord-275814-seirbkiq 105 7 rates rate NNS cord-275814-seirbkiq 105 8 of of IN cord-275814-seirbkiq 105 9 avian avian JJ cord-275814-seirbkiq 105 10 influenza influenza NN cord-275814-seirbkiq 105 11 within within IN cord-275814-seirbkiq 105 12 the the DT cord-275814-seirbkiq 105 13 bird bird NN cord-275814-seirbkiq 105 14 and and CC cord-275814-seirbkiq 105 15 human human JJ cord-275814-seirbkiq 105 16 populations population NNS cord-275814-seirbkiq 105 17 , , , cord-275814-seirbkiq 105 18 and and CC cord-275814-seirbkiq 105 19 the the DT cord-275814-seirbkiq 105 20 transmission transmission NN cord-275814-seirbkiq 105 21 rates rate NNS cord-275814-seirbkiq 105 22 of of IN cord-275814-seirbkiq 105 23 pandemic pandemic NN cord-275814-seirbkiq 105 24 avian avian JJ cord-275814-seirbkiq 105 25 influenza influenza NN cord-275814-seirbkiq 105 26 are be VBP cord-275814-seirbkiq 105 27 the the DT cord-275814-seirbkiq 105 28 same same JJ cord-275814-seirbkiq 105 29 for for IN cord-275814-seirbkiq 105 30 all all DT cord-275814-seirbkiq 105 31 cities city NNS cord-275814-seirbkiq 105 32 . . . cord-275814-seirbkiq 105 33 _SP cord-275814-seirbkiq 106 1 International international JJ cord-275814-seirbkiq 106 2 airline airline NN cord-275814-seirbkiq 106 3 flight flight NN cord-275814-seirbkiq 106 4 data datum NNS cord-275814-seirbkiq 106 5 provided provide VBN cord-275814-seirbkiq 106 6 by by IN cord-275814-seirbkiq 106 7 the the DT cord-275814-seirbkiq 106 8 Office Office NNP cord-275814-seirbkiq 106 9 of of IN cord-275814-seirbkiq 106 10 the the DT cord-275814-seirbkiq 106 11 Secretary Secretary NNP cord-275814-seirbkiq 106 12 for for IN cord-275814-seirbkiq 106 13 Aviation Aviation NNP cord-275814-seirbkiq 106 14 and and CC cord-275814-seirbkiq 106 15 International International NNP cord-275814-seirbkiq 106 16 Affairs Affairs NNPS cord-275814-seirbkiq 106 17 was be VBD cord-275814-seirbkiq 106 18 obtained obtain VBN cord-275814-seirbkiq 106 19 from from IN cord-275814-seirbkiq 106 20 the the DT cord-275814-seirbkiq 106 21 United United NNP cord-275814-seirbkiq 106 22 States States NNP cord-275814-seirbkiq 106 23 Department Department NNP cord-275814-seirbkiq 106 24 of of IN cord-275814-seirbkiq 106 25 Transportation Transportation NNP cord-275814-seirbkiq 106 26 website website NN cord-275814-seirbkiq 106 27 [ [ -LRB- cord-275814-seirbkiq 106 28 16 16 CD cord-275814-seirbkiq 106 29 ] ] -RRB- cord-275814-seirbkiq 106 30 . . . cord-275814-seirbkiq 107 1 Tables table NNS cord-275814-seirbkiq 107 2 3 3 CD cord-275814-seirbkiq 107 3 and and CC cord-275814-seirbkiq 107 4 4 4 CD cord-275814-seirbkiq 107 5 present present JJ cord-275814-seirbkiq 107 6 flight flight NN cord-275814-seirbkiq 107 7 data datum NNS cord-275814-seirbkiq 107 8 obtained obtain VBN cord-275814-seirbkiq 107 9 from from IN cord-275814-seirbkiq 107 10 the the DT cord-275814-seirbkiq 107 11 report report NN cord-275814-seirbkiq 107 12 entitled entitle VBN cord-275814-seirbkiq 107 13 " " `` cord-275814-seirbkiq 107 14 U.S. U.S. NNP cord-275814-seirbkiq 107 15 International International NNP cord-275814-seirbkiq 107 16 Air Air NNP cord-275814-seirbkiq 107 17 Passenger Passenger NNP cord-275814-seirbkiq 107 18 and and CC cord-275814-seirbkiq 107 19 Freight Freight NNP cord-275814-seirbkiq 107 20 Statistics Statistics NNPS cord-275814-seirbkiq 107 21 " " '' cord-275814-seirbkiq 107 22 for for IN cord-275814-seirbkiq 107 23 the the DT cord-275814-seirbkiq 107 24 third third JJ cord-275814-seirbkiq 107 25 quarter quarter NN cord-275814-seirbkiq 107 26 of of IN cord-275814-seirbkiq 107 27 2011 2011 CD cord-275814-seirbkiq 107 28 . . . cord-275814-seirbkiq 108 1 Table table NN cord-275814-seirbkiq 108 2 3 3 CD cord-275814-seirbkiq 108 3 lists list VBZ cord-275814-seirbkiq 108 4 the the DT cord-275814-seirbkiq 108 5 numbers number NNS cord-275814-seirbkiq 108 6 of of IN cord-275814-seirbkiq 108 7 passengers passenger NNS cord-275814-seirbkiq 108 8 who who WP cord-275814-seirbkiq 108 9 took take VBD cord-275814-seirbkiq 108 10 direct direct JJ cord-275814-seirbkiq 108 11 flights flight NNS cord-275814-seirbkiq 108 12 from from IN cord-275814-seirbkiq 108 13 Asian asian JJ cord-275814-seirbkiq 108 14 or or CC cord-275814-seirbkiq 108 15 Australian australian JJ cord-275814-seirbkiq 108 16 cities city NNS cord-275814-seirbkiq 108 17 to to IN cord-275814-seirbkiq 108 18 U.S. U.S. NNP cord-275814-seirbkiq 108 19 cities city NNS cord-275814-seirbkiq 108 20 . . . cord-275814-seirbkiq 109 1 Table table NN cord-275814-seirbkiq 109 2 4 4 CD cord-275814-seirbkiq 109 3 shows show VBZ cord-275814-seirbkiq 109 4 the the DT cord-275814-seirbkiq 109 5 numbers number NNS cord-275814-seirbkiq 109 6 of of IN cord-275814-seirbkiq 109 7 passengers passenger NNS cord-275814-seirbkiq 109 8 who who WP cord-275814-seirbkiq 109 9 traveled travel VBD cord-275814-seirbkiq 109 10 from from IN cord-275814-seirbkiq 109 11 major major JJ cord-275814-seirbkiq 109 12 airports airport NNS cord-275814-seirbkiq 109 13 in in IN cord-275814-seirbkiq 109 14 Asia Asia NNP cord-275814-seirbkiq 109 15 and and CC cord-275814-seirbkiq 109 16 Australia Australia NNP cord-275814-seirbkiq 109 17 and and CC cord-275814-seirbkiq 109 18 the the DT cord-275814-seirbkiq 109 19 corresponding corresponding JJ cord-275814-seirbkiq 109 20 U.S. U.S. NNP cord-275814-seirbkiq 109 21 shares share NNS cord-275814-seirbkiq 109 22 expressed express VBD cord-275814-seirbkiq 109 23 as as IN cord-275814-seirbkiq 109 24 percentages percentage NNS cord-275814-seirbkiq 109 25 . . . cord-275814-seirbkiq 110 1 The the DT cord-275814-seirbkiq 110 2 travel travel NN cord-275814-seirbkiq 110 3 rates rate NNS cord-275814-seirbkiq 110 4 between between IN cord-275814-seirbkiq 110 5 City city NN cord-275814-seirbkiq 110 6 1 1 CD cord-275814-seirbkiq 110 7 ( ( -LRB- cord-275814-seirbkiq 110 8 k k NN cord-275814-seirbkiq 110 9 1 1 CD cord-275814-seirbkiq 110 10 ) ) -RRB- cord-275814-seirbkiq 110 11 and and CC cord-275814-seirbkiq 110 12 City City NNP cord-275814-seirbkiq 110 13 2 2 CD cord-275814-seirbkiq 111 1 ( ( -LRB- cord-275814-seirbkiq 111 2 k k NNP cord-275814-seirbkiq 111 3 2 2 CD cord-275814-seirbkiq 111 4 ) ) -RRB- cord-275814-seirbkiq 111 5 are be VBP cord-275814-seirbkiq 111 6 estimated estimate VBN cord-275814-seirbkiq 111 7 by by IN cord-275814-seirbkiq 111 8 dividing divide VBG cord-275814-seirbkiq 111 9 the the DT cord-275814-seirbkiq 111 10 total total JJ cord-275814-seirbkiq 111 11 number number NN cord-275814-seirbkiq 111 12 of of IN cord-275814-seirbkiq 111 13 passengers passenger NNS cord-275814-seirbkiq 111 14 traveling travel VBG cord-275814-seirbkiq 111 15 from from IN cord-275814-seirbkiq 111 16 City city NN cord-275814-seirbkiq 111 17 1 1 CD cord-275814-seirbkiq 111 18 to to IN cord-275814-seirbkiq 111 19 City City NNP cord-275814-seirbkiq 111 20 2 2 CD cord-275814-seirbkiq 111 21 by by IN cord-275814-seirbkiq 111 22 the the DT cord-275814-seirbkiq 111 23 population population NN cord-275814-seirbkiq 111 24 of of IN cord-275814-seirbkiq 111 25 City City NNP cord-275814-seirbkiq 111 26 1 1 CD cord-275814-seirbkiq 111 27 . . . cord-275814-seirbkiq 112 1 Since since IN cord-275814-seirbkiq 112 2 time time NN cord-275814-seirbkiq 112 3 is be VBZ cord-275814-seirbkiq 112 4 measured measure VBN cord-275814-seirbkiq 112 5 in in IN cord-275814-seirbkiq 112 6 days day NNS cord-275814-seirbkiq 112 7 , , , cord-275814-seirbkiq 112 8 the the DT cord-275814-seirbkiq 112 9 result result NN cord-275814-seirbkiq 112 10 is be VBZ cord-275814-seirbkiq 112 11 further far RBR cord-275814-seirbkiq 112 12 divided divide VBN cord-275814-seirbkiq 112 13 by by IN cord-275814-seirbkiq 112 14 365 365 CD cord-275814-seirbkiq 112 15 4 4 CD cord-275814-seirbkiq 112 16 to to TO cord-275814-seirbkiq 112 17 obtain obtain VB cord-275814-seirbkiq 112 18 the the DT cord-275814-seirbkiq 112 19 travel travel NN cord-275814-seirbkiq 112 20 rate rate NN cord-275814-seirbkiq 112 21 of of IN cord-275814-seirbkiq 112 22 individuals individual NNS cord-275814-seirbkiq 112 23 of of IN cord-275814-seirbkiq 112 24 a a DT cord-275814-seirbkiq 112 25 city city NN cord-275814-seirbkiq 112 26 per per IN cord-275814-seirbkiq 112 27 day day NN cord-275814-seirbkiq 112 28 . . . cord-275814-seirbkiq 113 1 The the DT cord-275814-seirbkiq 113 2 populations population NNS cord-275814-seirbkiq 113 3 of of IN cord-275814-seirbkiq 113 4 cities city NNS cord-275814-seirbkiq 113 5 considered consider VBN cord-275814-seirbkiq 113 6 in in IN cord-275814-seirbkiq 113 7 this this DT cord-275814-seirbkiq 113 8 work work NN cord-275814-seirbkiq 113 9 are be VBP cord-275814-seirbkiq 113 10 presented present VBN cord-275814-seirbkiq 113 11 in in IN cord-275814-seirbkiq 113 12 Table Table NNP cord-275814-seirbkiq 113 13 5 5 CD cord-275814-seirbkiq 113 14 . . . cord-275814-seirbkiq 114 1 For for IN cord-275814-seirbkiq 114 2 example example NN cord-275814-seirbkiq 114 3 , , , cord-275814-seirbkiq 114 4 the the DT cord-275814-seirbkiq 114 5 travel travel NN cord-275814-seirbkiq 114 6 rate rate NN cord-275814-seirbkiq 114 7 from from IN cord-275814-seirbkiq 114 8 Seoul Seoul NNP cord-275814-seirbkiq 114 9 to to IN cord-275814-seirbkiq 114 10 Los Los NNP cord-275814-seirbkiq 114 11 Angeles Angeles NNP cord-275814-seirbkiq 114 12 is be VBZ cord-275814-seirbkiq 114 13 estimated estimate VBN cord-275814-seirbkiq 114 14 as as IN cord-275814-seirbkiq 114 15 Similarly similarly RB cord-275814-seirbkiq 114 16 , , , cord-275814-seirbkiq 114 17 the the DT cord-275814-seirbkiq 114 18 travel travel NN cord-275814-seirbkiq 114 19 rate rate NN cord-275814-seirbkiq 114 20 from from IN cord-275814-seirbkiq 114 21 Los Los NNP cord-275814-seirbkiq 114 22 Angeles Angeles NNP cord-275814-seirbkiq 114 23 to to IN cord-275814-seirbkiq 114 24 Seoul Seoul NNP cord-275814-seirbkiq 114 25 is be VBZ cord-275814-seirbkiq 114 26 estimated estimate VBN cord-275814-seirbkiq 114 27 as as IN cord-275814-seirbkiq 114 28 The the DT cord-275814-seirbkiq 114 29 lifespan lifespan NN cord-275814-seirbkiq 114 30 of of IN cord-275814-seirbkiq 114 31 humans human NNS cord-275814-seirbkiq 114 32 varies vary VBZ cord-275814-seirbkiq 114 33 from from IN cord-275814-seirbkiq 114 34 country country NN cord-275814-seirbkiq 114 35 to to IN cord-275814-seirbkiq 114 36 country country NN cord-275814-seirbkiq 114 37 , , , cord-275814-seirbkiq 114 38 and and CC cord-275814-seirbkiq 114 39 even even RB cord-275814-seirbkiq 114 40 from from IN cord-275814-seirbkiq 114 41 city city NN cord-275814-seirbkiq 114 42 to to IN cord-275814-seirbkiq 114 43 city city NN cord-275814-seirbkiq 114 44 . . . cord-275814-seirbkiq 115 1 Table table NN cord-275814-seirbkiq 115 2 5 5 CD cord-275814-seirbkiq 115 3 lists list VBZ cord-275814-seirbkiq 115 4 the the DT cord-275814-seirbkiq 115 5 life life NN cord-275814-seirbkiq 115 6 expectancies expectancy NNS cord-275814-seirbkiq 115 7 of of IN cord-275814-seirbkiq 115 8 the the DT cord-275814-seirbkiq 115 9 countries country NNS cord-275814-seirbkiq 115 10 considered consider VBN cord-275814-seirbkiq 115 11 in in IN cord-275814-seirbkiq 115 12 this this DT cord-275814-seirbkiq 115 13 research research NN cord-275814-seirbkiq 115 14 . . . cord-275814-seirbkiq 116 1 The the DT cord-275814-seirbkiq 116 2 natural natural JJ cord-275814-seirbkiq 116 3 death death NN cord-275814-seirbkiq 116 4 rate rate NN cord-275814-seirbkiq 116 5 of of IN cord-275814-seirbkiq 116 6 humans human NNS cord-275814-seirbkiq 116 7 is be VBZ cord-275814-seirbkiq 116 8 estimated estimate VBN cord-275814-seirbkiq 116 9 as as IN cord-275814-seirbkiq 117 1 According accord VBG cord-275814-seirbkiq 117 2 to to IN cord-275814-seirbkiq 117 3 the the DT cord-275814-seirbkiq 117 4 WHO WHO NNP cord-275814-seirbkiq 117 5 , , , cord-275814-seirbkiq 117 6 the the DT cord-275814-seirbkiq 117 7 duration duration NN cord-275814-seirbkiq 117 8 of of IN cord-275814-seirbkiq 117 9 the the DT cord-275814-seirbkiq 117 10 infectious infectious JJ cord-275814-seirbkiq 117 11 period period NN cord-275814-seirbkiq 117 12 for for IN cord-275814-seirbkiq 117 13 HPAI HPAI NNP cord-275814-seirbkiq 117 14 - - HYPH cord-275814-seirbkiq 117 15 infected infect VBN cord-275814-seirbkiq 117 16 human human JJ cord-275814-seirbkiq 117 17 cases case NNS cord-275814-seirbkiq 117 18 is be VBZ cord-275814-seirbkiq 117 19 six six CD cord-275814-seirbkiq 117 20 to to TO cord-275814-seirbkiq 117 21 seven seven CD cord-275814-seirbkiq 117 22 days day NNS cord-275814-seirbkiq 117 23 . . . cord-275814-seirbkiq 118 1 Therefore therefore RB cord-275814-seirbkiq 118 2 , , , cord-275814-seirbkiq 118 3 the the DT cord-275814-seirbkiq 118 4 disease disease NN cord-275814-seirbkiq 118 5 - - HYPH cord-275814-seirbkiq 118 6 induced induce VBN cord-275814-seirbkiq 118 7 death death NN cord-275814-seirbkiq 118 8 rate rate NN cord-275814-seirbkiq 118 9 of of IN cord-275814-seirbkiq 118 10 HPAI HPAI NNP cord-275814-seirbkiq 118 11 is be VBZ cord-275814-seirbkiq 118 12 taken take VBN cord-275814-seirbkiq 118 13 to to TO cord-275814-seirbkiq 118 14 be be VB cord-275814-seirbkiq 118 15 ν ν NNP cord-275814-seirbkiq 118 16 ¼ ¼ NNP cord-275814-seirbkiq 118 17 1 1 CD cord-275814-seirbkiq 118 18 6:5 6:5 CD cord-275814-seirbkiq 118 19 ¼ ¼ CD cord-275814-seirbkiq 118 20 0:15 0:15 CD cord-275814-seirbkiq 118 21 days day NNS cord-275814-seirbkiq 118 22 À à NN cord-275814-seirbkiq 118 23 1 1 CD cord-275814-seirbkiq 118 24 . . . cord-275814-seirbkiq 119 1 We -PRON- PRP cord-275814-seirbkiq 119 2 adjust adjust VBP cord-275814-seirbkiq 119 3 the the DT cord-275814-seirbkiq 119 4 disease disease NN cord-275814-seirbkiq 119 5 - - HYPH cord-275814-seirbkiq 119 6 induced induce VBN cord-275814-seirbkiq 119 7 death death NN cord-275814-seirbkiq 119 8 rate rate NN cord-275814-seirbkiq 119 9 as as IN cord-275814-seirbkiq 119 10 a a DT cord-275814-seirbkiq 119 11 result result NN cord-275814-seirbkiq 119 12 of of IN cord-275814-seirbkiq 119 13 pandemic pandemic NN cord-275814-seirbkiq 119 14 avian avian JJ cord-275814-seirbkiq 119 15 influenza influenza NN cord-275814-seirbkiq 119 16 using use VBG cord-275814-seirbkiq 119 17 ν ν NNP cord-275814-seirbkiq 119 18 p p NN cord-275814-seirbkiq 119 19 ¼ ¼ NNP cord-275814-seirbkiq 119 20 0:06 0:06 NNP cord-275814-seirbkiq 119 21 , , , cord-275814-seirbkiq 119 22 which which WDT cord-275814-seirbkiq 119 23 is be VBZ cord-275814-seirbkiq 119 24 taken take VBN cord-275814-seirbkiq 119 25 from from IN cord-275814-seirbkiq 119 26 [ [ -LRB- cord-275814-seirbkiq 119 27 7 7 CD cord-275814-seirbkiq 119 28 ] ] -RRB- cord-275814-seirbkiq 119 29 . . . cord-275814-seirbkiq 120 1 Thus thus RB cord-275814-seirbkiq 120 2 , , , cord-275814-seirbkiq 120 3 we -PRON- PRP cord-275814-seirbkiq 120 4 assume assume VBP cord-275814-seirbkiq 120 5 that that IN cord-275814-seirbkiq 120 6 the the DT cord-275814-seirbkiq 120 7 death death NN cord-275814-seirbkiq 120 8 rate rate NN cord-275814-seirbkiq 120 9 caused cause VBN cord-275814-seirbkiq 120 10 by by IN cord-275814-seirbkiq 120 11 the the DT cord-275814-seirbkiq 120 12 new new JJ cord-275814-seirbkiq 120 13 strain strain NN cord-275814-seirbkiq 120 14 of of IN cord-275814-seirbkiq 120 15 avian avian JJ cord-275814-seirbkiq 120 16 influenza influenza NN cord-275814-seirbkiq 120 17 is be VBZ cord-275814-seirbkiq 120 18 smaller small JJR cord-275814-seirbkiq 120 19 than than IN cord-275814-seirbkiq 120 20 the the DT cord-275814-seirbkiq 120 21 death death NN cord-275814-seirbkiq 120 22 rate rate NN cord-275814-seirbkiq 120 23 of of IN cord-275814-seirbkiq 120 24 HPAI HPAI NNP cord-275814-seirbkiq 120 25 . . . cord-275814-seirbkiq 121 1 The the DT cord-275814-seirbkiq 121 2 WHO who WP cord-275814-seirbkiq 121 3 gives give VBZ cord-275814-seirbkiq 121 4 the the DT cord-275814-seirbkiq 121 5 infectious infectious JJ cord-275814-seirbkiq 121 6 period period NN cord-275814-seirbkiq 121 7 of of IN cord-275814-seirbkiq 121 8 domestic domestic JJ cord-275814-seirbkiq 121 9 birds bird NNS cord-275814-seirbkiq 121 10 to to TO cord-275814-seirbkiq 121 11 be be VB cord-275814-seirbkiq 121 12 ten ten CD cord-275814-seirbkiq 121 13 days day NNS cord-275814-seirbkiq 121 14 , , , cord-275814-seirbkiq 121 15 so so RB cord-275814-seirbkiq 121 16 ν ν NNP cord-275814-seirbkiq 121 17 d d NNP cord-275814-seirbkiq 121 18 ¼ ¼ NNP cord-275814-seirbkiq 121 19 0:1 0:1 CD cord-275814-seirbkiq 121 20 days day NNS cord-275814-seirbkiq 121 21 À À NNP cord-275814-seirbkiq 121 22 1 1 CD cord-275814-seirbkiq 121 23 . . . cord-275814-seirbkiq 122 1 The the DT cord-275814-seirbkiq 122 2 natural natural JJ cord-275814-seirbkiq 122 3 death death NN cord-275814-seirbkiq 122 4 rate rate NN cord-275814-seirbkiq 122 5 and and CC cord-275814-seirbkiq 122 6 the the DT cord-275814-seirbkiq 122 7 disease disease NN cord-275814-seirbkiq 122 8 - - HYPH cord-275814-seirbkiq 122 9 induced induce VBN cord-275814-seirbkiq 122 10 death death NN cord-275814-seirbkiq 122 11 rate rate NN cord-275814-seirbkiq 122 12 are be VBP cord-275814-seirbkiq 122 13 assumed assume VBN cord-275814-seirbkiq 122 14 to to TO cord-275814-seirbkiq 122 15 be be VB cord-275814-seirbkiq 122 16 the the DT cord-275814-seirbkiq 122 17 same same JJ cord-275814-seirbkiq 122 18 for for IN cord-275814-seirbkiq 122 19 all all DT cord-275814-seirbkiq 122 20 cities city NNS cord-275814-seirbkiq 122 21 . . . cord-275814-seirbkiq 123 1 The the DT cord-275814-seirbkiq 123 2 total total JJ cord-275814-seirbkiq 123 3 human human JJ cord-275814-seirbkiq 123 4 population population NN cord-275814-seirbkiq 124 1 NðtÞ NðtÞ NNP cord-275814-seirbkiq 124 2 ¼ ¼ NNP cord-275814-seirbkiq 124 3 SðtÞ SðtÞ NNP cord-275814-seirbkiq 125 1 þ þ NNP cord-275814-seirbkiq 126 1 IðtÞ IðtÞ NNP cord-275814-seirbkiq 126 2 þ þ NNP cord-275814-seirbkiq 126 3 PðtÞ PðtÞ NNP cord-275814-seirbkiq 126 4 satisfies satisfy VBZ cord-275814-seirbkiq 126 5 the the DT cord-275814-seirbkiq 126 6 differential differential JJ cord-275814-seirbkiq 126 7 equation equation NN cord-275814-seirbkiq 126 8 : : : cord-275814-seirbkiq 126 9 Upon upon IN cord-275814-seirbkiq 126 10 solving solve VBG cord-275814-seirbkiq 126 11 Eq eq NN cord-275814-seirbkiq 126 12 . . . cord-275814-seirbkiq 127 1 ( ( -LRB- cord-275814-seirbkiq 127 2 3 3 LS cord-275814-seirbkiq 127 3 ) ) -RRB- cord-275814-seirbkiq 127 4 , , , cord-275814-seirbkiq 127 5 we -PRON- PRP cord-275814-seirbkiq 127 6 see see VBP cord-275814-seirbkiq 127 7 that that IN cord-275814-seirbkiq 127 8 the the DT cord-275814-seirbkiq 127 9 total total JJ cord-275814-seirbkiq 127 10 human human JJ cord-275814-seirbkiq 127 11 population population NN cord-275814-seirbkiq 127 12 is be VBZ cord-275814-seirbkiq 127 13 a a DT cord-275814-seirbkiq 127 14 bounded bound VBN cord-275814-seirbkiq 127 15 function function NN cord-275814-seirbkiq 127 16 of of IN cord-275814-seirbkiq 127 17 time time NN cord-275814-seirbkiq 127 18 : : : cord-275814-seirbkiq 127 19 where where WRB cord-275814-seirbkiq 127 20 N n CD cord-275814-seirbkiq 127 21 0 0 CD cord-275814-seirbkiq 127 22 is be VBZ cord-275814-seirbkiq 127 23 the the DT cord-275814-seirbkiq 127 24 initial initial JJ cord-275814-seirbkiq 127 25 human human JJ cord-275814-seirbkiq 127 26 population population NN cord-275814-seirbkiq 127 27 . . . cord-275814-seirbkiq 128 1 The the DT cord-275814-seirbkiq 128 2 limit limit NN cord-275814-seirbkiq 128 3 of of IN cord-275814-seirbkiq 128 4 the the DT cord-275814-seirbkiq 128 5 human human JJ cord-275814-seirbkiq 128 6 population population NN cord-275814-seirbkiq 128 7 is be VBZ cord-275814-seirbkiq 128 8 Applying apply VBG cord-275814-seirbkiq 128 9 similar similar JJ cord-275814-seirbkiq 128 10 analysis analysis NN cord-275814-seirbkiq 128 11 to to IN cord-275814-seirbkiq 128 12 the the DT cord-275814-seirbkiq 128 13 total total JJ cord-275814-seirbkiq 128 14 bird bird NN cord-275814-seirbkiq 128 15 population population NN cord-275814-seirbkiq 128 16 N N NNP cord-275814-seirbkiq 128 17 d d NNP cord-275814-seirbkiq 128 18 ðtÞ ðtÞ NNP cord-275814-seirbkiq 128 19 ¼ ¼ NNP cord-275814-seirbkiq 128 20 S s NN cord-275814-seirbkiq 129 1 d d LS cord-275814-seirbkiq 129 2 ðtÞ ðtÞ NNP cord-275814-seirbkiq 130 1 þ þ NNP cord-275814-seirbkiq 131 1 I -PRON- PRP cord-275814-seirbkiq 131 2 d d NNP cord-275814-seirbkiq 131 3 ðtÞ ðtÞ NNP cord-275814-seirbkiq 131 4 , , , cord-275814-seirbkiq 131 5 we -PRON- PRP cord-275814-seirbkiq 131 6 obtain obtain VBP cord-275814-seirbkiq 131 7 In in IN cord-275814-seirbkiq 131 8 all all PDT cord-275814-seirbkiq 131 9 the the DT cord-275814-seirbkiq 131 10 simulation simulation NN cord-275814-seirbkiq 131 11 results result NNS cord-275814-seirbkiq 131 12 presented present VBN cord-275814-seirbkiq 131 13 in in IN cord-275814-seirbkiq 131 14 this this DT cord-275814-seirbkiq 131 15 paper paper NN cord-275814-seirbkiq 131 16 , , , cord-275814-seirbkiq 131 17 the the DT cord-275814-seirbkiq 131 18 bird bird NN cord-275814-seirbkiq 131 19 population population NN cord-275814-seirbkiq 131 20 is be VBZ cord-275814-seirbkiq 131 21 given give VBN cord-275814-seirbkiq 131 22 in in IN cord-275814-seirbkiq 131 23 units unit NNS cord-275814-seirbkiq 131 24 of of IN cord-275814-seirbkiq 131 25 10 10 CD cord-275814-seirbkiq 131 26 7 7 CD cord-275814-seirbkiq 131 27 domestic domestic JJ cord-275814-seirbkiq 131 28 birds bird NNS cord-275814-seirbkiq 131 29 and and CC cord-275814-seirbkiq 131 30 the the DT cord-275814-seirbkiq 131 31 human human JJ cord-275814-seirbkiq 131 32 population population NN cord-275814-seirbkiq 131 33 is be VBZ cord-275814-seirbkiq 131 34 given give VBN cord-275814-seirbkiq 131 35 in in IN cord-275814-seirbkiq 131 36 units unit NNS cord-275814-seirbkiq 131 37 of of IN cord-275814-seirbkiq 131 38 10 10 CD cord-275814-seirbkiq 131 39 5 5 CD cord-275814-seirbkiq 131 40 individuals individual NNS cord-275814-seirbkiq 131 41 . . . cord-275814-seirbkiq 132 1 Eqs Eqs NNP cord-275814-seirbkiq 132 2 . . . cord-275814-seirbkiq 133 1 ( ( -LRB- cord-275814-seirbkiq 133 2 4 4 LS cord-275814-seirbkiq 133 3 ) ) -RRB- cord-275814-seirbkiq 133 4 and and CC cord-275814-seirbkiq 133 5 ( ( -LRB- cord-275814-seirbkiq 133 6 5 5 LS cord-275814-seirbkiq 133 7 ) ) -RRB- cord-275814-seirbkiq 133 8 are be VBP cord-275814-seirbkiq 133 9 used use VBN cord-275814-seirbkiq 133 10 to to TO cord-275814-seirbkiq 133 11 estimate estimate VB cord-275814-seirbkiq 133 12 the the DT cord-275814-seirbkiq 133 13 recruitment recruitment NN cord-275814-seirbkiq 133 14 rates rate NNS cord-275814-seirbkiq 133 15 for for IN cord-275814-seirbkiq 133 16 the the DT cord-275814-seirbkiq 133 17 bird bird NN cord-275814-seirbkiq 133 18 and and CC cord-275814-seirbkiq 133 19 human human JJ cord-275814-seirbkiq 133 20 populations population NNS cord-275814-seirbkiq 133 21 , , , cord-275814-seirbkiq 133 22 respectively respectively RB cord-275814-seirbkiq 133 23 . . . cord-275814-seirbkiq 134 1 The the DT cord-275814-seirbkiq 134 2 Food Food NNP cord-275814-seirbkiq 134 3 and and CC cord-275814-seirbkiq 134 4 Agriculture Agriculture NNP cord-275814-seirbkiq 134 5 Organization Organization NNP cord-275814-seirbkiq 134 6 [ [ -LRB- cord-275814-seirbkiq 134 7 3 3 CD cord-275814-seirbkiq 134 8 ] ] -RRB- cord-275814-seirbkiq 134 9 gives give VBZ cord-275814-seirbkiq 134 10 the the DT cord-275814-seirbkiq 134 11 total total JJ cord-275814-seirbkiq 134 12 poultry poultry NN cord-275814-seirbkiq 134 13 population population NN cord-275814-seirbkiq 134 14 as as IN cord-275814-seirbkiq 134 15 20.4 20.4 CD cord-275814-seirbkiq 134 16 billion billion CD cord-275814-seirbkiq 134 17 , , , cord-275814-seirbkiq 134 18 which which WDT cord-275814-seirbkiq 134 19 corresponds correspond VBZ cord-275814-seirbkiq 134 20 to to IN cord-275814-seirbkiq 134 21 2040 2040 CD cord-275814-seirbkiq 134 22 in in IN cord-275814-seirbkiq 134 23 units unit NNS cord-275814-seirbkiq 134 24 of of IN cord-275814-seirbkiq 134 25 10 10 CD cord-275814-seirbkiq 134 26 7 7 CD cord-275814-seirbkiq 134 27 . . . cord-275814-seirbkiq 135 1 Commercial commercial JJ cord-275814-seirbkiq 135 2 poultry poultry NN cord-275814-seirbkiq 135 3 is be VBZ cord-275814-seirbkiq 135 4 usually usually RB cord-275814-seirbkiq 135 5 kept keep VBN cord-275814-seirbkiq 135 6 for for IN cord-275814-seirbkiq 135 7 two two CD cord-275814-seirbkiq 135 8 years year NNS cord-275814-seirbkiq 135 9 , , , cord-275814-seirbkiq 135 10 so so CC cord-275814-seirbkiq 135 11 the the DT cord-275814-seirbkiq 135 12 natural natural JJ cord-275814-seirbkiq 135 13 death death NN cord-275814-seirbkiq 135 14 rate rate NN cord-275814-seirbkiq 135 15 of of IN cord-275814-seirbkiq 135 16 birds bird NNS cord-275814-seirbkiq 135 17 is be VBZ cord-275814-seirbkiq 135 18 μ μ NNP cord-275814-seirbkiq 135 19 d d NNP cord-275814-seirbkiq 135 20 ¼ ¼ NNP cord-275814-seirbkiq 135 21 1 1 CD cord-275814-seirbkiq 135 22 2Â365 2â365 CD cord-275814-seirbkiq 135 23 days day NNS cord-275814-seirbkiq 135 24 À à NN cord-275814-seirbkiq 135 25 1 1 CD cord-275814-seirbkiq 135 26 . . . cord-275814-seirbkiq 136 1 Therefore therefore RB cord-275814-seirbkiq 136 2 , , , cord-275814-seirbkiq 136 3 we -PRON- PRP cord-275814-seirbkiq 136 4 estimate estimate VBP cord-275814-seirbkiq 136 5 the the DT cord-275814-seirbkiq 136 6 recruitment recruitment NN cord-275814-seirbkiq 136 7 rate rate NN cord-275814-seirbkiq 136 8 for for IN cord-275814-seirbkiq 136 9 the the DT cord-275814-seirbkiq 136 10 bird bird NN cord-275814-seirbkiq 136 11 population population NN cord-275814-seirbkiq 136 12 as as IN cord-275814-seirbkiq 136 13 The the DT cord-275814-seirbkiq 136 14 recruitment recruitment NN cord-275814-seirbkiq 136 15 rate rate NN cord-275814-seirbkiq 136 16 of of IN cord-275814-seirbkiq 136 17 humans human NNS cord-275814-seirbkiq 136 18 in in IN cord-275814-seirbkiq 136 19 each each DT cord-275814-seirbkiq 136 20 city city NN cord-275814-seirbkiq 136 21 is be VBZ cord-275814-seirbkiq 136 22 computed compute VBN cord-275814-seirbkiq 136 23 similarly similarly RB cord-275814-seirbkiq 136 24 using use VBG cord-275814-seirbkiq 136 25 the the DT cord-275814-seirbkiq 136 26 population population NN cord-275814-seirbkiq 136 27 and and CC cord-275814-seirbkiq 136 28 life life NN cord-275814-seirbkiq 136 29 expectancy expectancy NN cord-275814-seirbkiq 136 30 data datum NNS cord-275814-seirbkiq 136 31 given give VBN cord-275814-seirbkiq 136 32 in in IN cord-275814-seirbkiq 136 33 Table Table NNP cord-275814-seirbkiq 136 34 5 5 CD cord-275814-seirbkiq 136 35 . . . cord-275814-seirbkiq 137 1 The the DT cord-275814-seirbkiq 137 2 cumulative cumulative JJ cord-275814-seirbkiq 137 3 number number NN cord-275814-seirbkiq 137 4 of of IN cord-275814-seirbkiq 137 5 HPAI HPAI NNP cord-275814-seirbkiq 137 6 - - HYPH cord-275814-seirbkiq 137 7 infected infect VBN cord-275814-seirbkiq 137 8 human human JJ cord-275814-seirbkiq 137 9 cases case NNS cord-275814-seirbkiq 137 10 reported report VBN cord-275814-seirbkiq 137 11 by by IN cord-275814-seirbkiq 137 12 the the DT cord-275814-seirbkiq 137 13 WHO who WP cord-275814-seirbkiq 137 14 exhibits exhibit VBZ cord-275814-seirbkiq 137 15 seasonality seasonality NN cord-275814-seirbkiq 137 16 [ [ -LRB- cord-275814-seirbkiq 137 17 15 15 CD cord-275814-seirbkiq 137 18 ] ] -RRB- cord-275814-seirbkiq 137 19 . . . cord-275814-seirbkiq 138 1 This this DT cord-275814-seirbkiq 138 2 is be VBZ cord-275814-seirbkiq 138 3 likely likely JJ cord-275814-seirbkiq 138 4 due due IN cord-275814-seirbkiq 138 5 to to IN cord-275814-seirbkiq 138 6 factors factor NNS cord-275814-seirbkiq 138 7 such such JJ cord-275814-seirbkiq 138 8 as as IN cord-275814-seirbkiq 138 9 temperature temperature NN cord-275814-seirbkiq 138 10 , , , cord-275814-seirbkiq 138 11 rainfall rainfall NN cord-275814-seirbkiq 138 12 , , , cord-275814-seirbkiq 138 13 migration migration NN cord-275814-seirbkiq 138 14 patterns pattern NNS cord-275814-seirbkiq 138 15 of of IN cord-275814-seirbkiq 138 16 wild wild JJ cord-275814-seirbkiq 138 17 birds bird NNS cord-275814-seirbkiq 138 18 , , , cord-275814-seirbkiq 138 19 survival survival NN cord-275814-seirbkiq 138 20 of of IN cord-275814-seirbkiq 138 21 the the DT cord-275814-seirbkiq 138 22 HPAI HPAI NNP cord-275814-seirbkiq 138 23 virus virus NN cord-275814-seirbkiq 138 24 in in IN cord-275814-seirbkiq 138 25 the the DT cord-275814-seirbkiq 138 26 environment environment NN cord-275814-seirbkiq 138 27 and and CC cord-275814-seirbkiq 138 28 seasonality seasonality NN cord-275814-seirbkiq 138 29 in in IN cord-275814-seirbkiq 138 30 bird bird NN cord-275814-seirbkiq 138 31 - - HYPH cord-275814-seirbkiq 138 32 to to IN cord-275814-seirbkiq 138 33 - - HYPH cord-275814-seirbkiq 138 34 bird bird NN cord-275814-seirbkiq 138 35 transmission transmission NN cord-275814-seirbkiq 138 36 . . . cord-275814-seirbkiq 139 1 Several several JJ cord-275814-seirbkiq 139 2 such such JJ cord-275814-seirbkiq 139 3 mechanisms mechanism NNS cord-275814-seirbkiq 139 4 are be VBP cord-275814-seirbkiq 139 5 considered consider VBN cord-275814-seirbkiq 139 6 in in IN cord-275814-seirbkiq 139 7 [ [ -LRB- cord-275814-seirbkiq 139 8 15 15 CD cord-275814-seirbkiq 139 9 ] ] -RRB- cord-275814-seirbkiq 139 10 to to TO cord-275814-seirbkiq 139 11 understand understand VB cord-275814-seirbkiq 139 12 the the DT cord-275814-seirbkiq 139 13 reasons reason NNS cord-275814-seirbkiq 139 14 for for IN cord-275814-seirbkiq 139 15 the the DT cord-275814-seirbkiq 139 16 seasonality seasonality NN cord-275814-seirbkiq 139 17 in in IN cord-275814-seirbkiq 139 18 avian avian JJ cord-275814-seirbkiq 139 19 influenza influenza NN cord-275814-seirbkiq 139 20 data datum NNS cord-275814-seirbkiq 139 21 ; ; : cord-275814-seirbkiq 139 22 the the DT cord-275814-seirbkiq 139 23 authors author NNS cord-275814-seirbkiq 139 24 report report VBP cord-275814-seirbkiq 139 25 that that IN cord-275814-seirbkiq 139 26 the the DT cord-275814-seirbkiq 139 27 main main JJ cord-275814-seirbkiq 139 28 culprit culprit NN cord-275814-seirbkiq 139 29 is be VBZ cord-275814-seirbkiq 139 30 bird bird NN cord-275814-seirbkiq 139 31 - - HYPH cord-275814-seirbkiq 139 32 to to IN cord-275814-seirbkiq 139 33 - - HYPH cord-275814-seirbkiq 139 34 bird bird NN cord-275814-seirbkiq 139 35 transmission transmission NN cord-275814-seirbkiq 139 36 . . . cord-275814-seirbkiq 140 1 We -PRON- PRP cord-275814-seirbkiq 140 2 use use VBP cord-275814-seirbkiq 140 3 their -PRON- PRP$ cord-275814-seirbkiq 140 4 fitted fit VBN cord-275814-seirbkiq 140 5 parameter parameter NN cord-275814-seirbkiq 140 6 values value NNS cord-275814-seirbkiq 140 7 for for IN cord-275814-seirbkiq 140 8 the the DT cord-275814-seirbkiq 140 9 bird bird NN cord-275814-seirbkiq 140 10 - - HYPH cord-275814-seirbkiq 140 11 to to IN cord-275814-seirbkiq 140 12 - - HYPH cord-275814-seirbkiq 140 13 bird bird NN cord-275814-seirbkiq 140 14 and and CC cord-275814-seirbkiq 140 15 bird bird NN cord-275814-seirbkiq 140 16 - - HYPH cord-275814-seirbkiq 140 17 to to IN cord-275814-seirbkiq 140 18 - - HYPH cord-275814-seirbkiq 140 19 human human JJ cord-275814-seirbkiq 140 20 transmission transmission NN cord-275814-seirbkiq 140 21 rates rate NNS cord-275814-seirbkiq 140 22 , , , cord-275814-seirbkiq 140 23 which which WDT cord-275814-seirbkiq 140 24 are be VBP cord-275814-seirbkiq 140 25 β β NN cord-275814-seirbkiq 140 26 d d NNP cord-275814-seirbkiq 140 27 ¼ ¼ NNP cord-275814-seirbkiq 140 28 5:29 5:29 NN cord-275814-seirbkiq 140 29 Â â NN cord-275814-seirbkiq 140 30 10 10 CD cord-275814-seirbkiq 140 31 À à NN cord-275814-seirbkiq 140 32 5 5 CD cord-275814-seirbkiq 140 33 and and CC cord-275814-seirbkiq 140 34 β β NN cord-275814-seirbkiq 140 35 ¼ ¼ NNP cord-275814-seirbkiq 140 36 1:9 1:9 CD cord-275814-seirbkiq 140 37 Â â CD cord-275814-seirbkiq 140 38 10 10 CD cord-275814-seirbkiq 140 39 À à NN cord-275814-seirbkiq 140 40 11 11 CD cord-275814-seirbkiq 140 41 , , , cord-275814-seirbkiq 140 42 respectively respectively RB cord-275814-seirbkiq 140 43 [ [ -LRB- cord-275814-seirbkiq 140 44 15 15 CD cord-275814-seirbkiq 140 45 ] ] -RRB- cord-275814-seirbkiq 140 46 . . . cord-275814-seirbkiq 141 1 In in IN cord-275814-seirbkiq 141 2 the the DT cord-275814-seirbkiq 141 3 case case NN cord-275814-seirbkiq 141 4 of of IN cord-275814-seirbkiq 141 5 pandemic pandemic NN cord-275814-seirbkiq 141 6 avian avian JJ cord-275814-seirbkiq 141 7 influenza influenza NN cord-275814-seirbkiq 141 8 , , , cord-275814-seirbkiq 141 9 we -PRON- PRP cord-275814-seirbkiq 141 10 set set VBD cord-275814-seirbkiq 141 11 the the DT cord-275814-seirbkiq 141 12 humanto humanto JJ cord-275814-seirbkiq 141 13 - - HYPH cord-275814-seirbkiq 141 14 human human JJ cord-275814-seirbkiq 141 15 transmission transmission NN cord-275814-seirbkiq 141 16 rate rate NN cord-275814-seirbkiq 141 17 to to IN cord-275814-seirbkiq 141 18 β β NN cord-275814-seirbkiq 141 19 p p NN cord-275814-seirbkiq 141 20 ¼ ¼ NN cord-275814-seirbkiq 141 21 3 3 CD cord-275814-seirbkiq 141 22 Â â NN cord-275814-seirbkiq 141 23 10 10 CD cord-275814-seirbkiq 141 24 À à NN cord-275814-seirbkiq 141 25 7 7 CD cord-275814-seirbkiq 141 26 . . . cord-275814-seirbkiq 142 1 This this DT cord-275814-seirbkiq 142 2 is be VBZ cord-275814-seirbkiq 142 3 a a DT cord-275814-seirbkiq 142 4 purely purely RB cord-275814-seirbkiq 142 5 hypothetical hypothetical JJ cord-275814-seirbkiq 142 6 value value NN cord-275814-seirbkiq 142 7 because because IN cord-275814-seirbkiq 142 8 there there EX cord-275814-seirbkiq 142 9 is be VBZ cord-275814-seirbkiq 142 10 no no DT cord-275814-seirbkiq 142 11 good good JJ cord-275814-seirbkiq 142 12 way way NN cord-275814-seirbkiq 142 13 to to TO cord-275814-seirbkiq 142 14 estimate estimate VB cord-275814-seirbkiq 142 15 it -PRON- PRP cord-275814-seirbkiq 142 16 . . . cord-275814-seirbkiq 143 1 The the DT cord-275814-seirbkiq 143 2 parameter parameter NN cord-275814-seirbkiq 143 3 is be VBZ cord-275814-seirbkiq 143 4 fixed fix VBN cord-275814-seirbkiq 143 5 by by IN cord-275814-seirbkiq 143 6 assuming assume VBG cord-275814-seirbkiq 143 7 that that IN cord-275814-seirbkiq 143 8 the the DT cord-275814-seirbkiq 143 9 transmission transmission NN cord-275814-seirbkiq 143 10 of of IN cord-275814-seirbkiq 143 11 the the DT cord-275814-seirbkiq 143 12 new new JJ cord-275814-seirbkiq 143 13 pathogen pathogen NN cord-275814-seirbkiq 143 14 is be VBZ cord-275814-seirbkiq 143 15 higher high JJR cord-275814-seirbkiq 143 16 than than IN cord-275814-seirbkiq 143 17 the the DT cord-275814-seirbkiq 143 18 transmission transmission NN cord-275814-seirbkiq 143 19 of of IN cord-275814-seirbkiq 143 20 the the DT cord-275814-seirbkiq 143 21 current current JJ cord-275814-seirbkiq 143 22 pathogen pathogen NN cord-275814-seirbkiq 143 23 . . . cord-275814-seirbkiq 144 1 Currently currently RB cord-275814-seirbkiq 144 2 , , , cord-275814-seirbkiq 144 3 avian avian JJ cord-275814-seirbkiq 144 4 influenza influenza NN cord-275814-seirbkiq 144 5 is be VBZ cord-275814-seirbkiq 144 6 in in IN cord-275814-seirbkiq 144 7 the the DT cord-275814-seirbkiq 144 8 zoonotic zoonotic JJ cord-275814-seirbkiq 144 9 stage stage NN cord-275814-seirbkiq 144 10 , , , cord-275814-seirbkiq 144 11 meaning mean VBG cord-275814-seirbkiq 144 12 that that IN cord-275814-seirbkiq 144 13 the the DT cord-275814-seirbkiq 144 14 only only JJ cord-275814-seirbkiq 144 15 transmission transmission NN cord-275814-seirbkiq 144 16 pathway pathway NN cord-275814-seirbkiq 144 17 is be VBZ cord-275814-seirbkiq 144 18 from from IN cord-275814-seirbkiq 144 19 birds bird NNS cord-275814-seirbkiq 144 20 to to IN cord-275814-seirbkiq 144 21 humans human NNS cord-275814-seirbkiq 144 22 . . . cord-275814-seirbkiq 145 1 The the DT cord-275814-seirbkiq 145 2 new new JJ cord-275814-seirbkiq 145 3 pathogen pathogen NN cord-275814-seirbkiq 145 4 evolves evolve VBZ cord-275814-seirbkiq 145 5 into into IN cord-275814-seirbkiq 145 6 a a DT cord-275814-seirbkiq 145 7 strain strain NN cord-275814-seirbkiq 145 8 that that WDT cord-275814-seirbkiq 145 9 is be VBZ cord-275814-seirbkiq 145 10 capable capable JJ cord-275814-seirbkiq 145 11 of of IN cord-275814-seirbkiq 145 12 human human NN cord-275814-seirbkiq 145 13 - - HYPH cord-275814-seirbkiq 145 14 to to IN cord-275814-seirbkiq 145 15 - - HYPH cord-275814-seirbkiq 145 16 human human JJ cord-275814-seirbkiq 145 17 transmission transmission NN cord-275814-seirbkiq 145 18 . . . cord-275814-seirbkiq 146 1 We -PRON- PRP cord-275814-seirbkiq 146 2 use use VBP cord-275814-seirbkiq 146 3 the the DT cord-275814-seirbkiq 146 4 mutation mutation NN cord-275814-seirbkiq 146 5 rate rate NN cord-275814-seirbkiq 146 6 m¼0.01 m¼0.01 NNP cord-275814-seirbkiq 146 7 as as IN cord-275814-seirbkiq 146 8 given give VBN cord-275814-seirbkiq 146 9 in in IN cord-275814-seirbkiq 146 10 [ [ -LRB- cord-275814-seirbkiq 146 11 7 7 CD cord-275814-seirbkiq 146 12 ] ] -RRB- cord-275814-seirbkiq 146 13 . . . cord-275814-seirbkiq 147 1 All all PDT cord-275814-seirbkiq 147 2 the the DT cord-275814-seirbkiq 147 3 simulations simulation NNS cord-275814-seirbkiq 147 4 reported report VBN cord-275814-seirbkiq 147 5 in in IN cord-275814-seirbkiq 147 6 Section section NN cord-275814-seirbkiq 147 7 3 3 CD cord-275814-seirbkiq 147 8 use use VBP cord-275814-seirbkiq 147 9 the the DT cord-275814-seirbkiq 147 10 parameter parameter NN cord-275814-seirbkiq 147 11 values value NNS cord-275814-seirbkiq 147 12 listed list VBN cord-275814-seirbkiq 147 13 in in IN cord-275814-seirbkiq 147 14 this this DT cord-275814-seirbkiq 147 15 section section NN cord-275814-seirbkiq 147 16 . . . cord-275814-seirbkiq 148 1 We -PRON- PRP cord-275814-seirbkiq 148 2 only only RB cord-275814-seirbkiq 148 3 change change VBP cord-275814-seirbkiq 148 4 β β NN cord-275814-seirbkiq 148 5 d d NNP cord-275814-seirbkiq 148 6 or or CC cord-275814-seirbkiq 148 7 β β NN cord-275814-seirbkiq 148 8 p p NN cord-275814-seirbkiq 148 9 to to TO cord-275814-seirbkiq 148 10 vary vary VB cord-275814-seirbkiq 148 11 the the DT cord-275814-seirbkiq 148 12 simulations simulation NNS cord-275814-seirbkiq 148 13 when when WRB cord-275814-seirbkiq 148 14 necessary necessary JJ cord-275814-seirbkiq 148 15 and and CC cord-275814-seirbkiq 148 16 the the DT cord-275814-seirbkiq 148 17 changes change NNS cord-275814-seirbkiq 148 18 are be VBP cord-275814-seirbkiq 148 19 mentioned mention VBN cord-275814-seirbkiq 148 20 whenever whenever WRB cord-275814-seirbkiq 148 21 they -PRON- PRP cord-275814-seirbkiq 148 22 are be VBP cord-275814-seirbkiq 148 23 applied apply VBN cord-275814-seirbkiq 148 24 . . . cord-275814-seirbkiq 149 1 Epidemiologists epidemiologist NNS cord-275814-seirbkiq 149 2 are be VBP cord-275814-seirbkiq 149 3 interested interested JJ cord-275814-seirbkiq 149 4 in in IN cord-275814-seirbkiq 149 5 the the DT cord-275814-seirbkiq 149 6 long long JJ cord-275814-seirbkiq 149 7 - - HYPH cord-275814-seirbkiq 149 8 term term NN cord-275814-seirbkiq 149 9 dynamics dynamic NNS cord-275814-seirbkiq 149 10 of of IN cord-275814-seirbkiq 149 11 the the DT cord-275814-seirbkiq 149 12 spread spread NN cord-275814-seirbkiq 149 13 of of IN cord-275814-seirbkiq 149 14 an an DT cord-275814-seirbkiq 149 15 infectious infectious JJ cord-275814-seirbkiq 149 16 disease disease NN cord-275814-seirbkiq 149 17 . . . cord-275814-seirbkiq 150 1 By by IN cord-275814-seirbkiq 150 2 studying study VBG cord-275814-seirbkiq 150 3 the the DT cord-275814-seirbkiq 150 4 solutions solution NNS cord-275814-seirbkiq 150 5 of of IN cord-275814-seirbkiq 150 6 the the DT cord-275814-seirbkiq 150 7 mathematical mathematical JJ cord-275814-seirbkiq 150 8 model model NN cord-275814-seirbkiq 150 9 , , , cord-275814-seirbkiq 150 10 we -PRON- PRP cord-275814-seirbkiq 150 11 hope hope VBP cord-275814-seirbkiq 150 12 to to TO cord-275814-seirbkiq 150 13 answer answer VB cord-275814-seirbkiq 150 14 the the DT cord-275814-seirbkiq 150 15 question question NN cord-275814-seirbkiq 150 16 of of IN cord-275814-seirbkiq 150 17 whether whether IN cord-275814-seirbkiq 150 18 the the DT cord-275814-seirbkiq 150 19 disease disease NN cord-275814-seirbkiq 150 20 will will MD cord-275814-seirbkiq 150 21 die die VB cord-275814-seirbkiq 150 22 out out RP cord-275814-seirbkiq 150 23 or or CC cord-275814-seirbkiq 150 24 persist persist VB cord-275814-seirbkiq 150 25 in in IN cord-275814-seirbkiq 150 26 the the DT cord-275814-seirbkiq 150 27 bird bird NN cord-275814-seirbkiq 150 28 and and CC cord-275814-seirbkiq 150 29 human human JJ cord-275814-seirbkiq 150 30 populations population NNS cord-275814-seirbkiq 150 31 . . . cord-275814-seirbkiq 151 1 In in IN cord-275814-seirbkiq 151 2 particular particular JJ cord-275814-seirbkiq 151 3 , , , cord-275814-seirbkiq 151 4 we -PRON- PRP cord-275814-seirbkiq 151 5 want want VBP cord-275814-seirbkiq 151 6 to to TO cord-275814-seirbkiq 151 7 measure measure VB cord-275814-seirbkiq 151 8 the the DT cord-275814-seirbkiq 151 9 severity severity NN cord-275814-seirbkiq 151 10 of of IN cord-275814-seirbkiq 151 11 the the DT cord-275814-seirbkiq 151 12 hypothetical hypothetical JJ cord-275814-seirbkiq 151 13 pandemic pandemic NN cord-275814-seirbkiq 151 14 caused cause VBN cord-275814-seirbkiq 151 15 by by IN cord-275814-seirbkiq 151 16 avian avian JJ cord-275814-seirbkiq 151 17 influenza influenza NN cord-275814-seirbkiq 151 18 . . . cord-275814-seirbkiq 152 1 To to TO cord-275814-seirbkiq 152 2 predict predict VB cord-275814-seirbkiq 152 3 the the DT cord-275814-seirbkiq 152 4 severity severity NN cord-275814-seirbkiq 152 5 of of IN cord-275814-seirbkiq 152 6 an an DT cord-275814-seirbkiq 152 7 outbreak outbreak NN cord-275814-seirbkiq 152 8 or or CC cord-275814-seirbkiq 152 9 pandemic pandemic NN cord-275814-seirbkiq 152 10 , , , cord-275814-seirbkiq 152 11 a a DT cord-275814-seirbkiq 152 12 summary summary NN cord-275814-seirbkiq 152 13 parameter parameter NN cord-275814-seirbkiq 152 14 called call VBN cord-275814-seirbkiq 152 15 the the DT cord-275814-seirbkiq 152 16 reproduction reproduction NN cord-275814-seirbkiq 152 17 number number NN cord-275814-seirbkiq 152 18 is be VBZ cord-275814-seirbkiq 152 19 calculated calculate VBN cord-275814-seirbkiq 152 20 from from IN cord-275814-seirbkiq 152 21 the the DT cord-275814-seirbkiq 152 22 population population NN cord-275814-seirbkiq 152 23 model model NN cord-275814-seirbkiq 152 24 . . . cord-275814-seirbkiq 153 1 The the DT cord-275814-seirbkiq 153 2 reproduction reproduction NN cord-275814-seirbkiq 153 3 number number NN cord-275814-seirbkiq 154 1 i i PRP cord-275814-seirbkiq 155 1 n n CC cord-275814-seirbkiq 155 2 t t NNP cord-275814-seirbkiq 155 3 e e NN cord-275814-seirbkiq 155 4 r r NN cord-275814-seirbkiq 155 5 n n NN cord-275814-seirbkiq 156 1 a a DT cord-275814-seirbkiq 156 2 t t NN cord-275814-seirbkiq 157 1 i i PRP cord-275814-seirbkiq 157 2 o o VBP cord-275814-seirbkiq 157 3 n n NN cord-275814-seirbkiq 157 4 a a DT cord-275814-seirbkiq 157 5 l l NN cord-275814-seirbkiq 157 6 j j NNP cord-275814-seirbkiq 157 7 o o NN cord-275814-seirbkiq 157 8 u u NN cord-275814-seirbkiq 157 9 r r NNP cord-275814-seirbkiq 157 10 n n NN cord-275814-seirbkiq 157 11 a a FW cord-275814-seirbkiq 157 12 l l NN cord-275814-seirbkiq 157 13 o o NN cord-275814-seirbkiq 157 14 f f NN cord-275814-seirbkiq 157 15 c c NN cord-275814-seirbkiq 157 16 r r NN cord-275814-seirbkiq 158 1 i i PRP cord-275814-seirbkiq 158 2 t t NNP cord-275814-seirbkiq 159 1 i i PRP cord-275814-seirbkiq 160 1 c c NNP cord-275814-seirbkiq 160 2 a a NNP cord-275814-seirbkiq 160 3 l l NN cord-275814-seirbkiq 160 4 i i NN cord-275814-seirbkiq 161 1 n n CC cord-275814-seirbkiq 161 2 f f NNP cord-275814-seirbkiq 161 3 r r NNP cord-275814-seirbkiq 161 4 a a NNP cord-275814-seirbkiq 161 5 s s NN cord-275814-seirbkiq 161 6 t t NN cord-275814-seirbkiq 162 1 r r NNP cord-275814-seirbkiq 162 2 u u NN cord-275814-seirbkiq 162 3 c c NN cord-275814-seirbkiq 162 4 t t NN cord-275814-seirbkiq 163 1 u u NNP cord-275814-seirbkiq 163 2 r r NN cord-275814-seirbkiq 163 3 e e NN cord-275814-seirbkiq 163 4 p p NN cord-275814-seirbkiq 164 1 r r LS cord-275814-seirbkiq 165 1 o o UH cord-275814-seirbkiq 166 1 t t NNP cord-275814-seirbkiq 167 1 e e LS cord-275814-seirbkiq 167 2 c c NNP cord-275814-seirbkiq 167 3 t t NN cord-275814-seirbkiq 168 1 i i PRP cord-275814-seirbkiq 169 1 o o UH cord-275814-seirbkiq 169 2 n n NN cord-275814-seirbkiq 169 3 7 7 CD cord-275814-seirbkiq 169 4 ( ( -LRB- cord-275814-seirbkiq 169 5 2 2 CD cord-275814-seirbkiq 169 6 0 0 CD cord-275814-seirbkiq 169 7 1 1 CD cord-275814-seirbkiq 169 8 4 4 CD cord-275814-seirbkiq 169 9 ) ) -RRB- cord-275814-seirbkiq 169 10 2 2 CD cord-275814-seirbkiq 169 11 7 7 CD cord-275814-seirbkiq 170 1 -4 -4 NNP cord-275814-seirbkiq 170 2 7 7 CD cord-275814-seirbkiq 170 3 R r NN cord-275814-seirbkiq 170 4 0 0 CD cord-275814-seirbkiq 170 5 is be VBZ cord-275814-seirbkiq 170 6 an an DT cord-275814-seirbkiq 170 7 epidemiologically epidemiologically RB cord-275814-seirbkiq 170 8 important important JJ cord-275814-seirbkiq 170 9 threshold threshold NN cord-275814-seirbkiq 170 10 value value NN cord-275814-seirbkiq 170 11 that that WDT cord-275814-seirbkiq 170 12 determines determine VBZ cord-275814-seirbkiq 170 13 whether whether IN cord-275814-seirbkiq 170 14 a a DT cord-275814-seirbkiq 170 15 disease disease NN cord-275814-seirbkiq 170 16 will will MD cord-275814-seirbkiq 170 17 persist persist VB cord-275814-seirbkiq 170 18 or or CC cord-275814-seirbkiq 170 19 die die VB cord-275814-seirbkiq 170 20 out out RP cord-275814-seirbkiq 170 21 . . . cord-275814-seirbkiq 171 1 The the DT cord-275814-seirbkiq 171 2 basic basic JJ cord-275814-seirbkiq 171 3 reproduction reproduction NN cord-275814-seirbkiq 171 4 number number NN cord-275814-seirbkiq 171 5 gives give VBZ cord-275814-seirbkiq 171 6 the the DT cord-275814-seirbkiq 171 7 secondary secondary JJ cord-275814-seirbkiq 171 8 number number NN cord-275814-seirbkiq 171 9 of of IN cord-275814-seirbkiq 171 10 infections infection NNS cord-275814-seirbkiq 171 11 produced produce VBN cord-275814-seirbkiq 171 12 by by IN cord-275814-seirbkiq 171 13 one one CD cord-275814-seirbkiq 171 14 infected infect VBN cord-275814-seirbkiq 171 15 individual individual NN cord-275814-seirbkiq 171 16 in in IN cord-275814-seirbkiq 171 17 a a DT cord-275814-seirbkiq 171 18 totally totally RB cord-275814-seirbkiq 171 19 susceptible susceptible JJ cord-275814-seirbkiq 171 20 domain domain NN cord-275814-seirbkiq 171 21 during during IN cord-275814-seirbkiq 171 22 her -PRON- PRP$ cord-275814-seirbkiq 171 23 / / SYM cord-275814-seirbkiq 171 24 his -PRON- PRP$ cord-275814-seirbkiq 171 25 infectious infectious JJ cord-275814-seirbkiq 171 26 period period NN cord-275814-seirbkiq 171 27 . . . cord-275814-seirbkiq 172 1 If if IN cord-275814-seirbkiq 172 2 R r NN cord-275814-seirbkiq 172 3 0 0 CD cord-275814-seirbkiq 172 4 o1 o1 NN cord-275814-seirbkiq 172 5 , , , cord-275814-seirbkiq 172 6 then then RB cord-275814-seirbkiq 172 7 the the DT cord-275814-seirbkiq 172 8 disease disease NN cord-275814-seirbkiq 172 9 - - HYPH cord-275814-seirbkiq 172 10 free free JJ cord-275814-seirbkiq 172 11 equilibrium equilibrium NN cord-275814-seirbkiq 172 12 is be VBZ cord-275814-seirbkiq 172 13 locally locally RB cord-275814-seirbkiq 172 14 asymptotically asymptotically RB cord-275814-seirbkiq 172 15 stable stable JJ cord-275814-seirbkiq 172 16 , , , cord-275814-seirbkiq 172 17 meaning mean VBG cord-275814-seirbkiq 172 18 that that IN cord-275814-seirbkiq 172 19 the the DT cord-275814-seirbkiq 172 20 disease disease NN cord-275814-seirbkiq 172 21 will will MD cord-275814-seirbkiq 172 22 eventually eventually RB cord-275814-seirbkiq 172 23 become become VB cord-275814-seirbkiq 172 24 extinct extinct JJ cord-275814-seirbkiq 172 25 . . . cord-275814-seirbkiq 173 1 If if IN cord-275814-seirbkiq 173 2 R r NN cord-275814-seirbkiq 173 3 0 0 CD cord-275814-seirbkiq 173 4 41 41 CD cord-275814-seirbkiq 173 5 , , , cord-275814-seirbkiq 173 6 then then RB cord-275814-seirbkiq 173 7 the the DT cord-275814-seirbkiq 173 8 disease disease NN cord-275814-seirbkiq 173 9 - - HYPH cord-275814-seirbkiq 173 10 free free JJ cord-275814-seirbkiq 173 11 equilibrium equilibrium NN cord-275814-seirbkiq 173 12 is be VBZ cord-275814-seirbkiq 173 13 unstable unstable JJ cord-275814-seirbkiq 173 14 and and CC cord-275814-seirbkiq 173 15 the the DT cord-275814-seirbkiq 173 16 disease disease NN cord-275814-seirbkiq 173 17 will will MD cord-275814-seirbkiq 173 18 persist persist VB cord-275814-seirbkiq 173 19 in in IN cord-275814-seirbkiq 173 20 the the DT cord-275814-seirbkiq 173 21 population population NN cord-275814-seirbkiq 173 22 . . . cord-275814-seirbkiq 174 1 Determining determine VBG cord-275814-seirbkiq 174 2 an an DT cord-275814-seirbkiq 174 3 expression expression NN cord-275814-seirbkiq 174 4 for for IN cord-275814-seirbkiq 174 5 the the DT cord-275814-seirbkiq 174 6 basic basic JJ cord-275814-seirbkiq 174 7 reproduction reproduction NN cord-275814-seirbkiq 174 8 number number NN cord-275814-seirbkiq 174 9 and and CC cord-275814-seirbkiq 174 10 estimating estimate VBG cord-275814-seirbkiq 174 11 its -PRON- PRP$ cord-275814-seirbkiq 174 12 value value NN cord-275814-seirbkiq 174 13 are be VBP cord-275814-seirbkiq 174 14 important important JJ cord-275814-seirbkiq 174 15 when when WRB cord-275814-seirbkiq 174 16 selecting select VBG cord-275814-seirbkiq 174 17 the the DT cord-275814-seirbkiq 174 18 most most RBS cord-275814-seirbkiq 174 19 effective effective JJ cord-275814-seirbkiq 174 20 control control NN cord-275814-seirbkiq 174 21 measures measure NNS cord-275814-seirbkiq 174 22 for for IN cord-275814-seirbkiq 174 23 eliminating eliminate VBG cord-275814-seirbkiq 174 24 a a DT cord-275814-seirbkiq 174 25 disease disease NN cord-275814-seirbkiq 174 26 . . . cord-275814-seirbkiq 175 1 Reproduction reproduction NN cord-275814-seirbkiq 175 2 numbers number NNS cord-275814-seirbkiq 175 3 are be VBP cord-275814-seirbkiq 175 4 derived derive VBN cord-275814-seirbkiq 175 5 by by IN cord-275814-seirbkiq 175 6 performing perform VBG cord-275814-seirbkiq 175 7 a a DT cord-275814-seirbkiq 175 8 qualitative qualitative JJ cord-275814-seirbkiq 175 9 analysis analysis NN cord-275814-seirbkiq 175 10 of of IN cord-275814-seirbkiq 175 11 a a DT cord-275814-seirbkiq 175 12 mathematical mathematical JJ cord-275814-seirbkiq 175 13 model model NN cord-275814-seirbkiq 175 14 . . . cord-275814-seirbkiq 176 1 The the DT cord-275814-seirbkiq 176 2 procedure procedure NN cord-275814-seirbkiq 176 3 is be VBZ cord-275814-seirbkiq 176 4 described describe VBN cord-275814-seirbkiq 176 5 in in IN cord-275814-seirbkiq 176 6 detail detail NN cord-275814-seirbkiq 176 7 in in IN cord-275814-seirbkiq 176 8 the the DT cord-275814-seirbkiq 176 9 following follow VBG cord-275814-seirbkiq 176 10 sections section NNS cord-275814-seirbkiq 176 11 . . . cord-275814-seirbkiq 177 1 The the DT cord-275814-seirbkiq 177 2 first first JJ cord-275814-seirbkiq 177 3 step step NN cord-275814-seirbkiq 177 4 in in IN cord-275814-seirbkiq 177 5 the the DT cord-275814-seirbkiq 177 6 qualitative qualitative JJ cord-275814-seirbkiq 177 7 analysis analysis NN cord-275814-seirbkiq 177 8 of of IN cord-275814-seirbkiq 177 9 the the DT cord-275814-seirbkiq 177 10 model model NN cord-275814-seirbkiq 177 11 is be VBZ cord-275814-seirbkiq 177 12 to to TO cord-275814-seirbkiq 177 13 find find VB cord-275814-seirbkiq 177 14 constant constant JJ cord-275814-seirbkiq 177 15 solutions solution NNS cord-275814-seirbkiq 177 16 that that WDT cord-275814-seirbkiq 177 17 do do VBP cord-275814-seirbkiq 177 18 not not RB cord-275814-seirbkiq 177 19 change change VB cord-275814-seirbkiq 177 20 in in IN cord-275814-seirbkiq 177 21 timeequilibrium timeequilibrium NN cord-275814-seirbkiq 177 22 points point NNS cord-275814-seirbkiq 177 23 . . . cord-275814-seirbkiq 178 1 Equilibrium equilibrium NN cord-275814-seirbkiq 178 2 solutions solution NNS cord-275814-seirbkiq 178 3 for for IN cord-275814-seirbkiq 178 4 the the DT cord-275814-seirbkiq 178 5 single single JJ cord-275814-seirbkiq 178 6 - - HYPH cord-275814-seirbkiq 178 7 city city NN cord-275814-seirbkiq 178 8 model model NN cord-275814-seirbkiq 178 9 have have VBP cord-275814-seirbkiq 178 10 been be VBN cord-275814-seirbkiq 178 11 studied study VBN cord-275814-seirbkiq 178 12 in in IN cord-275814-seirbkiq 178 13 [ [ -LRB- cord-275814-seirbkiq 178 14 7 7 CD cord-275814-seirbkiq 178 15 ] ] -RRB- cord-275814-seirbkiq 178 16 and and CC cord-275814-seirbkiq 178 17 will will MD cord-275814-seirbkiq 178 18 not not RB cord-275814-seirbkiq 178 19 be be VB cord-275814-seirbkiq 178 20 repeated repeat VBN cord-275814-seirbkiq 178 21 here here RB cord-275814-seirbkiq 178 22 . . . cord-275814-seirbkiq 179 1 However however RB cord-275814-seirbkiq 179 2 , , , cord-275814-seirbkiq 179 3 we -PRON- PRP cord-275814-seirbkiq 179 4 will will MD cord-275814-seirbkiq 179 5 summarize summarize VB cord-275814-seirbkiq 179 6 the the DT cord-275814-seirbkiq 179 7 model model NN cord-275814-seirbkiq 179 8 dynamics dynamic NNS cord-275814-seirbkiq 179 9 . . . cord-275814-seirbkiq 180 1 The the DT cord-275814-seirbkiq 180 2 disease disease NN cord-275814-seirbkiq 180 3 free free JJ cord-275814-seirbkiq 180 4 equilibrium equilibrium NN cord-275814-seirbkiq 180 5 ( ( -LRB- cord-275814-seirbkiq 180 6 DFE DFE NNP cord-275814-seirbkiq 180 7 ) ) -RRB- cord-275814-seirbkiq 180 8 for for IN cord-275814-seirbkiq 180 9 the the DT cord-275814-seirbkiq 180 10 single single JJ cord-275814-seirbkiq 180 11 - - HYPH cord-275814-seirbkiq 180 12 city city NN cord-275814-seirbkiq 180 13 model model NN cord-275814-seirbkiq 180 14 is be VBZ cord-275814-seirbkiq 180 15 ðS ðs NN cord-275814-seirbkiq 180 16 n n NNP cord-275814-seirbkiq 180 17 d d NN cord-275814-seirbkiq 180 18 ; ; : cord-275814-seirbkiq 180 19 0 0 CD cord-275814-seirbkiq 180 20 ; ; . cord-275814-seirbkiq 181 1 S s NN cord-275814-seirbkiq 181 2 n n NN cord-275814-seirbkiq 181 3 ; ; : cord-275814-seirbkiq 181 4 0 0 CD cord-275814-seirbkiq 181 5 ; ; , cord-275814-seirbkiq 181 6 0Þ 0þ CD cord-275814-seirbkiq 181 7 , , , cord-275814-seirbkiq 181 8 where where WRB cord-275814-seirbkiq 181 9 S s NN cord-275814-seirbkiq 181 10 n n NN cord-275814-seirbkiq 181 11 d d NN cord-275814-seirbkiq 181 12 ¼ ¼ FW cord-275814-seirbkiq 181 13 Λ λ NN cord-275814-seirbkiq 181 14 d d NN cord-275814-seirbkiq 181 15 = = SYM cord-275814-seirbkiq 181 16 μ μ NN cord-275814-seirbkiq 181 17 d d NNP cord-275814-seirbkiq 181 18 and and CC cord-275814-seirbkiq 181 19 S S NNP cord-275814-seirbkiq 181 20 n n NN cord-275814-seirbkiq 181 21 ¼ ¼ NN cord-275814-seirbkiq 181 22 Λ λ NN cord-275814-seirbkiq 181 23 = = SYM cord-275814-seirbkiq 181 24 μ μ NN cord-275814-seirbkiq 181 25 . . . cord-275814-seirbkiq 182 1 The the DT cord-275814-seirbkiq 182 2 basic basic JJ cord-275814-seirbkiq 182 3 reproduction reproduction NN cord-275814-seirbkiq 182 4 numbers number NNS cord-275814-seirbkiq 182 5 for for IN cord-275814-seirbkiq 182 6 the the DT cord-275814-seirbkiq 182 7 bird bird NN cord-275814-seirbkiq 182 8 population population NN cord-275814-seirbkiq 182 9 r r NN cord-275814-seirbkiq 182 10 0 0 CD cord-275814-seirbkiq 182 11 b b NN cord-275814-seirbkiq 182 12 and and CC cord-275814-seirbkiq 182 13 the the DT cord-275814-seirbkiq 182 14 human human JJ cord-275814-seirbkiq 182 15 population population NN cord-275814-seirbkiq 182 16 R r NN cord-275814-seirbkiq 182 17 0 0 CD cord-275814-seirbkiq 182 18 h h NN cord-275814-seirbkiq 182 19 , , , cord-275814-seirbkiq 182 20 respectively respectively RB cord-275814-seirbkiq 182 21 , , , cord-275814-seirbkiq 182 22 are be VBP cord-275814-seirbkiq 182 23 That that DT cord-275814-seirbkiq 182 24 is is RB cord-275814-seirbkiq 182 25 , , , cord-275814-seirbkiq 182 26 if if IN cord-275814-seirbkiq 182 27 r r NN cord-275814-seirbkiq 182 28 0 0 CD cord-275814-seirbkiq 182 29 o1 o1 NN cord-275814-seirbkiq 182 30 and and CC cord-275814-seirbkiq 182 31 R r NN cord-275814-seirbkiq 182 32 h h NN cord-275814-seirbkiq 182 33 o o NN cord-275814-seirbkiq 182 34 o1 o1 NN cord-275814-seirbkiq 182 35 , , , cord-275814-seirbkiq 182 36 then then RB cord-275814-seirbkiq 182 37 the the DT cord-275814-seirbkiq 182 38 DFE DFE NNP cord-275814-seirbkiq 182 39 vanishes vanish VBZ cord-275814-seirbkiq 182 40 in in IN cord-275814-seirbkiq 182 41 both both DT cord-275814-seirbkiq 182 42 populations population NNS cord-275814-seirbkiq 182 43 ; ; : cord-275814-seirbkiq 182 44 otherwise otherwise RB cord-275814-seirbkiq 182 45 , , , cord-275814-seirbkiq 182 46 the the DT cord-275814-seirbkiq 182 47 disease disease NN cord-275814-seirbkiq 182 48 becomes become VBZ cord-275814-seirbkiq 182 49 endemic endemic JJ cord-275814-seirbkiq 182 50 . . . cord-275814-seirbkiq 183 1 This this DT cord-275814-seirbkiq 183 2 paper paper NN cord-275814-seirbkiq 183 3 focuses focus VBZ cord-275814-seirbkiq 183 4 on on IN cord-275814-seirbkiq 183 5 the the DT cord-275814-seirbkiq 183 6 DFE DFE NNP cord-275814-seirbkiq 183 7 of of IN cord-275814-seirbkiq 183 8 the the DT cord-275814-seirbkiq 183 9 two two CD cord-275814-seirbkiq 183 10 - - HYPH cord-275814-seirbkiq 183 11 city city NN cord-275814-seirbkiq 183 12 model model NN cord-275814-seirbkiq 183 13 . . . cord-275814-seirbkiq 184 1 The the DT cord-275814-seirbkiq 184 2 equilibrium equilibrium NN cord-275814-seirbkiq 184 3 points point VBZ cord-275814-seirbkiq 184 4 for for IN cord-275814-seirbkiq 184 5 the the DT cord-275814-seirbkiq 184 6 two two CD cord-275814-seirbkiq 184 7 - - HYPH cord-275814-seirbkiq 184 8 city city NN cord-275814-seirbkiq 184 9 model model NN cord-275814-seirbkiq 184 10 satisfy satisfy VB cord-275814-seirbkiq 184 11 the the DT cord-275814-seirbkiq 184 12 following follow VBG cord-275814-seirbkiq 184 13 steady steady JJ cord-275814-seirbkiq 184 14 - - HYPH cord-275814-seirbkiq 184 15 state state NN cord-275814-seirbkiq 184 16 equations equation NNS cord-275814-seirbkiq 184 17 , , , cord-275814-seirbkiq 184 18 which which WDT cord-275814-seirbkiq 184 19 are be VBP cord-275814-seirbkiq 184 20 derived derive VBN cord-275814-seirbkiq 184 21 by by IN cord-275814-seirbkiq 184 22 setting set VBG cord-275814-seirbkiq 184 23 the the DT cord-275814-seirbkiq 184 24 time time NN cord-275814-seirbkiq 184 25 derivatives derivative NNS cord-275814-seirbkiq 184 26 equal equal JJ cord-275814-seirbkiq 184 27 to to IN cord-275814-seirbkiq 184 28 zero zero CD cord-275814-seirbkiq 184 29 : : : cord-275814-seirbkiq 185 1 We -PRON- PRP cord-275814-seirbkiq 185 2 denote denote VBP cord-275814-seirbkiq 185 3 the the DT cord-275814-seirbkiq 185 4 DFE DFE NNP cord-275814-seirbkiq 185 5 equilibrium equilibrium NN cord-275814-seirbkiq 185 6 by by IN cord-275814-seirbkiq 185 7 ε ε NNP cord-275814-seirbkiq 185 8 n n NNP cord-275814-seirbkiq 185 9 ¼ ¼ NNP cord-275814-seirbkiq 185 10 ðS ðs NN cord-275814-seirbkiq 185 11 n n NN cord-275814-seirbkiq 185 12 d1 d1 NN cord-275814-seirbkiq 185 13 ; ; : cord-275814-seirbkiq 185 14 0 0 NFP cord-275814-seirbkiq 185 15 ; ; : cord-275814-seirbkiq 185 16 S s NN cord-275814-seirbkiq 185 17 n n NN cord-275814-seirbkiq 185 18 1 1 CD cord-275814-seirbkiq 185 19 ; ; : cord-275814-seirbkiq 185 20 0 0 CD cord-275814-seirbkiq 185 21 ; ; : cord-275814-seirbkiq 185 22 0 0 NFP cord-275814-seirbkiq 185 23 ; ; : cord-275814-seirbkiq 185 24 S s NN cord-275814-seirbkiq 185 25 n n NN cord-275814-seirbkiq 185 26 d2 d2 NN cord-275814-seirbkiq 185 27 ; ; : cord-275814-seirbkiq 185 28 0 0 NFP cord-275814-seirbkiq 185 29 ; ; : cord-275814-seirbkiq 185 30 S s NN cord-275814-seirbkiq 185 31 n n NN cord-275814-seirbkiq 185 32 2 2 CD cord-275814-seirbkiq 185 33 ; ; : cord-275814-seirbkiq 185 34 0 0 CD cord-275814-seirbkiq 185 35 ; ; , cord-275814-seirbkiq 185 36 0Þ 0þ CD cord-275814-seirbkiq 185 37 , , , cord-275814-seirbkiq 185 38 where where WRB cord-275814-seirbkiq 185 39 This this DT cord-275814-seirbkiq 185 40 is be VBZ cord-275814-seirbkiq 185 41 the the DT cord-275814-seirbkiq 185 42 state state NN cord-275814-seirbkiq 185 43 in in IN cord-275814-seirbkiq 185 44 which which WDT cord-275814-seirbkiq 185 45 HPAI HPAI NNP cord-275814-seirbkiq 185 46 and and CC cord-275814-seirbkiq 185 47 pandemic pandemic NN cord-275814-seirbkiq 185 48 avian avian JJ cord-275814-seirbkiq 185 49 influenza influenza NN cord-275814-seirbkiq 185 50 are be VBP cord-275814-seirbkiq 185 51 both both DT cord-275814-seirbkiq 185 52 wiped wipe VBN cord-275814-seirbkiq 185 53 out out RP cord-275814-seirbkiq 185 54 in in IN cord-275814-seirbkiq 185 55 the the DT cord-275814-seirbkiq 185 56 bird bird NN cord-275814-seirbkiq 185 57 and and CC cord-275814-seirbkiq 185 58 human human JJ cord-275814-seirbkiq 185 59 populations population NNS cord-275814-seirbkiq 185 60 . . . cord-275814-seirbkiq 186 1 This this DT cord-275814-seirbkiq 186 2 infection infection NN cord-275814-seirbkiq 186 3 - - HYPH cord-275814-seirbkiq 186 4 free free JJ cord-275814-seirbkiq 186 5 state state NN cord-275814-seirbkiq 186 6 is be VBZ cord-275814-seirbkiq 186 7 stable stable JJ cord-275814-seirbkiq 186 8 if if IN cord-275814-seirbkiq 186 9 the the DT cord-275814-seirbkiq 186 10 reproduction reproduction NN cord-275814-seirbkiq 186 11 numbers number NNS cord-275814-seirbkiq 186 12 for for IN cord-275814-seirbkiq 186 13 the the DT cord-275814-seirbkiq 186 14 bird bird NN cord-275814-seirbkiq 186 15 and and CC cord-275814-seirbkiq 186 16 human human JJ cord-275814-seirbkiq 186 17 populations population NNS cord-275814-seirbkiq 186 18 in in IN cord-275814-seirbkiq 186 19 both both DT cord-275814-seirbkiq 186 20 cities city NNS cord-275814-seirbkiq 186 21 are be VBP cord-275814-seirbkiq 186 22 less less JJR cord-275814-seirbkiq 186 23 than than IN cord-275814-seirbkiq 186 24 one one CD cord-275814-seirbkiq 186 25 . . . cord-275814-seirbkiq 187 1 The the DT cord-275814-seirbkiq 187 2 basic basic JJ cord-275814-seirbkiq 187 3 reproduction reproduction NN cord-275814-seirbkiq 187 4 numbers number NNS cord-275814-seirbkiq 187 5 for for IN cord-275814-seirbkiq 187 6 the the DT cord-275814-seirbkiq 187 7 bird bird NN cord-275814-seirbkiq 187 8 populations population NNS cord-275814-seirbkiq 187 9 in in IN cord-275814-seirbkiq 187 10 City city NN cord-275814-seirbkiq 187 11 1 1 CD cord-275814-seirbkiq 187 12 and and CC cord-275814-seirbkiq 187 13 City City NNP cord-275814-seirbkiq 187 14 2 2 CD cord-275814-seirbkiq 187 15 are be VBP cord-275814-seirbkiq 187 16 given give VBN cord-275814-seirbkiq 187 17 by by IN cord-275814-seirbkiq 187 18 For for IN cord-275814-seirbkiq 187 19 a a DT cord-275814-seirbkiq 187 20 system system NN cord-275814-seirbkiq 187 21 with with IN cord-275814-seirbkiq 187 22 multiple multiple JJ cord-275814-seirbkiq 187 23 infected infected JJ cord-275814-seirbkiq 187 24 compartments compartment NNS cord-275814-seirbkiq 187 25 , , , cord-275814-seirbkiq 187 26 as as IN cord-275814-seirbkiq 187 27 in in IN cord-275814-seirbkiq 187 28 the the DT cord-275814-seirbkiq 187 29 two two CD cord-275814-seirbkiq 187 30 - - HYPH cord-275814-seirbkiq 187 31 city city NN cord-275814-seirbkiq 187 32 model model NN cord-275814-seirbkiq 187 33 defined define VBN cord-275814-seirbkiq 187 34 by by IN cord-275814-seirbkiq 187 35 Eq Eq NNP cord-275814-seirbkiq 187 36 . . . cord-275814-seirbkiq 188 1 ( ( -LRB- cord-275814-seirbkiq 188 2 2 2 LS cord-275814-seirbkiq 188 3 ) ) -RRB- cord-275814-seirbkiq 188 4 , , , cord-275814-seirbkiq 188 5 the the DT cord-275814-seirbkiq 188 6 reproduction reproduction NN cord-275814-seirbkiq 188 7 number number NN cord-275814-seirbkiq 188 8 is be VBZ cord-275814-seirbkiq 188 9 defined define VBN cord-275814-seirbkiq 188 10 as as IN cord-275814-seirbkiq 188 11 the the DT cord-275814-seirbkiq 188 12 number number NN cord-275814-seirbkiq 188 13 of of IN cord-275814-seirbkiq 188 14 infections infection NNS cord-275814-seirbkiq 188 15 produced produce VBN cord-275814-seirbkiq 188 16 by by IN cord-275814-seirbkiq 188 17 one one CD cord-275814-seirbkiq 188 18 infected infect VBN cord-275814-seirbkiq 188 19 individual individual NN cord-275814-seirbkiq 188 20 at at IN cord-275814-seirbkiq 188 21 the the DT cord-275814-seirbkiq 188 22 DFE DFE NNP cord-275814-seirbkiq 188 23 [ [ -LRB- cord-275814-seirbkiq 188 24 17 17 CD cord-275814-seirbkiq 188 25 ] ] -RRB- cord-275814-seirbkiq 188 26 . . . cord-275814-seirbkiq 189 1 Following follow VBG cord-275814-seirbkiq 189 2 the the DT cord-275814-seirbkiq 189 3 next next JJ cord-275814-seirbkiq 189 4 generation generation NN cord-275814-seirbkiq 189 5 approach approach NN cord-275814-seirbkiq 189 6 described describe VBN cord-275814-seirbkiq 189 7 in in IN cord-275814-seirbkiq 189 8 [ [ -LRB- cord-275814-seirbkiq 189 9 17 17 CD cord-275814-seirbkiq 189 10 ] ] -RRB- cord-275814-seirbkiq 189 11 , , , cord-275814-seirbkiq 189 12 we -PRON- PRP cord-275814-seirbkiq 189 13 classify classify VBP cord-275814-seirbkiq 189 14 the the DT cord-275814-seirbkiq 189 15 compartments compartment NNS cord-275814-seirbkiq 189 16 as as IN cord-275814-seirbkiq 189 17 infected infected JJ cord-275814-seirbkiq 189 18 and and CC cord-275814-seirbkiq 189 19 uninfected uninfected JJ cord-275814-seirbkiq 189 20 . . . cord-275814-seirbkiq 190 1 In in IN cord-275814-seirbkiq 190 2 our -PRON- PRP$ cord-275814-seirbkiq 190 3 case case NN cord-275814-seirbkiq 190 4 , , , cord-275814-seirbkiq 190 5 the the DT cord-275814-seirbkiq 190 6 infected infected JJ cord-275814-seirbkiq 190 7 compartments compartment NNS cord-275814-seirbkiq 190 8 consist consist VBP cord-275814-seirbkiq 190 9 of of IN cord-275814-seirbkiq 190 10 birds bird NNS cord-275814-seirbkiq 190 11 infected infect VBN cord-275814-seirbkiq 190 12 with with IN cord-275814-seirbkiq 190 13 HPAI HPAI NNP cord-275814-seirbkiq 190 14 , , , cord-275814-seirbkiq 190 15 humans human NNS cord-275814-seirbkiq 190 16 infected infect VBN cord-275814-seirbkiq 190 17 with with IN cord-275814-seirbkiq 190 18 HPAI HPAI NNP cord-275814-seirbkiq 190 19 and and CC cord-275814-seirbkiq 190 20 humans human NNS cord-275814-seirbkiq 190 21 infected infect VBN cord-275814-seirbkiq 190 22 with with IN cord-275814-seirbkiq 190 23 pandemic pandemic NN cord-275814-seirbkiq 190 24 avian avian JJ cord-275814-seirbkiq 190 25 influenza influenza NN cord-275814-seirbkiq 190 26 . . . cord-275814-seirbkiq 191 1 We -PRON- PRP cord-275814-seirbkiq 191 2 define define VBP cord-275814-seirbkiq 191 3 two two CD cord-275814-seirbkiq 191 4 matrices matrix NNS cord-275814-seirbkiq 191 5 : : : cord-275814-seirbkiq 191 6 ( ( -LRB- cord-275814-seirbkiq 191 7 i i NN cord-275814-seirbkiq 191 8 ) ) -RRB- cord-275814-seirbkiq 191 9 F F NNP cord-275814-seirbkiq 191 10 , , , cord-275814-seirbkiq 191 11 which which WDT cord-275814-seirbkiq 191 12 expresses express VBZ cord-275814-seirbkiq 191 13 the the DT cord-275814-seirbkiq 191 14 rate rate NN cord-275814-seirbkiq 191 15 of of IN cord-275814-seirbkiq 191 16 new new JJ cord-275814-seirbkiq 191 17 incidences incidence NNS cord-275814-seirbkiq 191 18 ; ; : cord-275814-seirbkiq 191 19 and and CC cord-275814-seirbkiq 191 20 ( ( -LRB- cord-275814-seirbkiq 191 21 ii ii NN cord-275814-seirbkiq 191 22 ) ) -RRB- cord-275814-seirbkiq 191 23 V V NNP cord-275814-seirbkiq 191 24 , , , cord-275814-seirbkiq 191 25 which which WDT cord-275814-seirbkiq 191 26 represents represent VBZ cord-275814-seirbkiq 191 27 the the DT cord-275814-seirbkiq 191 28 transfer transfer NN cord-275814-seirbkiq 191 29 of of IN cord-275814-seirbkiq 191 30 individuals individual NNS cord-275814-seirbkiq 191 31 between between IN cord-275814-seirbkiq 191 32 compartments compartment NNS cord-275814-seirbkiq 191 33 : : : cord-275814-seirbkiq 192 1 The the DT cord-275814-seirbkiq 192 2 principal principal JJ cord-275814-seirbkiq 192 3 eigenvalue eigenvalue NN cord-275814-seirbkiq 192 4 of of IN cord-275814-seirbkiq 192 5 the the DT cord-275814-seirbkiq 192 6 next next JJ cord-275814-seirbkiq 192 7 generation generation NN cord-275814-seirbkiq 192 8 matrix matrix NN cord-275814-seirbkiq 192 9 FV fv NN cord-275814-seirbkiq 192 10 À à NN cord-275814-seirbkiq 192 11 1 1 CD cord-275814-seirbkiq 192 12 is be VBZ cord-275814-seirbkiq 192 13 the the DT cord-275814-seirbkiq 192 14 basic basic JJ cord-275814-seirbkiq 192 15 reproduction reproduction NN cord-275814-seirbkiq 192 16 number number NN cord-275814-seirbkiq 192 17 . . . cord-275814-seirbkiq 193 1 The the DT cord-275814-seirbkiq 193 2 next next JJ cord-275814-seirbkiq 193 3 generation generation NN cord-275814-seirbkiq 193 4 matrix matrix NN cord-275814-seirbkiq 193 5 for for IN cord-275814-seirbkiq 193 6 the the DT cord-275814-seirbkiq 193 7 two two CD cord-275814-seirbkiq 193 8 - - HYPH cord-275814-seirbkiq 193 9 city city NN cord-275814-seirbkiq 193 10 model model NN cord-275814-seirbkiq 193 11 in in IN cord-275814-seirbkiq 193 12 Eq Eq NNP cord-275814-seirbkiq 193 13 . . . cord-275814-seirbkiq 194 1 ( ( -LRB- cord-275814-seirbkiq 194 2 2 2 LS cord-275814-seirbkiq 194 3 ) ) -RRB- cord-275814-seirbkiq 194 4 is be VBZ cord-275814-seirbkiq 194 5 _SP cord-275814-seirbkiq 194 6 in in IN cord-275814-seirbkiq 194 7 which which WDT cord-275814-seirbkiq 194 8 the the DT cord-275814-seirbkiq 194 9 reproduction reproduction NN cord-275814-seirbkiq 194 10 numbers number NNS cord-275814-seirbkiq 194 11 for for IN cord-275814-seirbkiq 194 12 the the DT cord-275814-seirbkiq 194 13 human human JJ cord-275814-seirbkiq 194 14 populations population NNS cord-275814-seirbkiq 194 15 in in IN cord-275814-seirbkiq 194 16 City City NNP cord-275814-seirbkiq 194 17 1 1 CD cord-275814-seirbkiq 194 18 and and CC cord-275814-seirbkiq 194 19 City City NNP cord-275814-seirbkiq 194 20 2 2 CD cord-275814-seirbkiq 194 21 are be VBP cord-275814-seirbkiq 194 22 given give VBN cord-275814-seirbkiq 194 23 bŷ bŷ XX cord-275814-seirbkiq 195 1 We -PRON- PRP cord-275814-seirbkiq 195 2 take take VBP cord-275814-seirbkiq 195 3 the the DT cord-275814-seirbkiq 195 4 basic basic JJ cord-275814-seirbkiq 195 5 reproduction reproduction NN cord-275814-seirbkiq 195 6 number number NN cord-275814-seirbkiq 195 7 for for IN cord-275814-seirbkiq 195 8 the the DT cord-275814-seirbkiq 195 9 human human JJ cord-275814-seirbkiq 195 10 population population NN cord-275814-seirbkiq 195 11 to to TO cord-275814-seirbkiq 195 12 be be VB cord-275814-seirbkiq 195 13 the the DT cord-275814-seirbkiq 195 14 maximum maximum NN cord-275814-seirbkiq 195 15 of of IN cord-275814-seirbkiq 195 16 the the DT cord-275814-seirbkiq 195 17 reproduction reproduction NN cord-275814-seirbkiq 195 18 numbers number NNS cord-275814-seirbkiq 195 19 for for IN cord-275814-seirbkiq 195 20 the the DT cord-275814-seirbkiq 195 21 two two CD cord-275814-seirbkiq 195 22 cities city NNS cord-275814-seirbkiq 195 23 : : : cord-275814-seirbkiq 195 24 Fig fig NN cord-275814-seirbkiq 195 25 . . . cord-275814-seirbkiq 195 26 8 8 CD cord-275814-seirbkiq 196 1 San San NNP cord-275814-seirbkiq 196 2 Francisco Francisco NNP cord-275814-seirbkiq 197 1 3:61 3:61 CD cord-275814-seirbkiq 197 2 Â â CD cord-275814-seirbkiq 197 3 10 10 CD cord-275814-seirbkiq 197 4 À à NN cord-275814-seirbkiq 197 5 5 5 CD cord-275814-seirbkiq 198 1 Tokyo Tokyo NNP cord-275814-seirbkiq 198 2 6:55 6:55 CD cord-275814-seirbkiq 198 3 Â â NN cord-275814-seirbkiq 198 4 10 10 CD cord-275814-seirbkiq 198 5 À à NN cord-275814-seirbkiq 198 6 4 4 CD cord-275814-seirbkiq 198 7 Fig fig NN cord-275814-seirbkiq 198 8 . . . cord-275814-seirbkiq 198 9 9 9 CD cord-275814-seirbkiq 199 1 United United NNP cord-275814-seirbkiq 199 2 States States NNP cord-275814-seirbkiq 199 3 0.0155 0.0155 CD cord-275814-seirbkiq 199 4 Tokyo Tokyo NNP cord-275814-seirbkiq 199 5 6:15 6:15 CD cord-275814-seirbkiq 200 1 Â â NN cord-275814-seirbkiq 200 2 10 10 CD cord-275814-seirbkiq 200 3 À à NN cord-275814-seirbkiq 200 4 4 4 CD cord-275814-seirbkiq 200 5 Fig Fig NNP cord-275814-seirbkiq 200 6 . . . cord-275814-seirbkiq 200 7 10 10 CD cord-275814-seirbkiq 200 8 United United NNP cord-275814-seirbkiq 200 9 States States NNP cord-275814-seirbkiq 200 10 0.0156 0.0156 CD cord-275814-seirbkiq 200 11 Seoul Seoul NNP cord-275814-seirbkiq 200 12 5:18 5:18 CD cord-275814-seirbkiq 200 13 Â â NN cord-275814-seirbkiq 200 14 10 10 CD cord-275814-seirbkiq 200 15 À à NN cord-275814-seirbkiq 200 16 4 4 CD cord-275814-seirbkiq 200 17 Fig fig NN cord-275814-seirbkiq 200 18 . . . cord-275814-seirbkiq 201 1 11 11 CD cord-275814-seirbkiq 202 1 United United NNP cord-275814-seirbkiq 202 2 States States NNP cord-275814-seirbkiq 202 3 0.0153 0.0153 CD cord-275814-seirbkiq 202 4 Hong Hong NNP cord-275814-seirbkiq 202 5 Kong Kong NNP cord-275814-seirbkiq 203 1 5:18 5:18 CD cord-275814-seirbkiq 204 1 Â â NN cord-275814-seirbkiq 204 2 10 10 CD cord-275814-seirbkiq 204 3 À à NN cord-275814-seirbkiq 204 4 4 4 CD cord-275814-seirbkiq 205 1 Fig Fig NNP cord-275814-seirbkiq 205 2 . . . cord-275814-seirbkiq 206 1 12 12 CD cord-275814-seirbkiq 207 1 United United NNP cord-275814-seirbkiq 207 2 States States NNP cord-275814-seirbkiq 207 3 0.0156 0.0156 CD cord-275814-seirbkiq 207 4 Sydney Sydney NNP cord-275814-seirbkiq 207 5 2:21 2:21 CD cord-275814-seirbkiq 207 6 Â â CD cord-275814-seirbkiq 207 7 10 10 CD cord-275814-seirbkiq 207 8 À à NN cord-275814-seirbkiq 207 9 4 4 CD cord-275814-seirbkiq 207 10 Fig Fig NNP cord-275814-seirbkiq 207 11 . . . cord-275814-seirbkiq 207 12 13 13 CD cord-275814-seirbkiq 207 13 United United NNP cord-275814-seirbkiq 207 14 States States NNP cord-275814-seirbkiq 207 15 0.0156 0.0156 CD cord-275814-seirbkiq 207 16 Beijing Beijing NNP cord-275814-seirbkiq 207 17 9:99 9:99 CD cord-275814-seirbkiq 207 18 Â â CD cord-275814-seirbkiq 207 19 10 10 CD cord-275814-seirbkiq 207 20 À à NN cord-275814-seirbkiq 207 21 4 4 CD cord-275814-seirbkiq 207 22 Similarly similarly RB cord-275814-seirbkiq 207 23 , , , cord-275814-seirbkiq 207 24 the the DT cord-275814-seirbkiq 207 25 reproduction reproduction NN cord-275814-seirbkiq 207 26 number number NN cord-275814-seirbkiq 207 27 for for IN cord-275814-seirbkiq 207 28 the the DT cord-275814-seirbkiq 207 29 bird bird NN cord-275814-seirbkiq 207 30 population population NN cord-275814-seirbkiq 207 31 is be VBZ cord-275814-seirbkiq 207 32 r r NNP cord-275814-seirbkiq 207 33 0 0 CD cord-275814-seirbkiq 207 34 ¼ ¼ NNP cord-275814-seirbkiq 207 35 maxfr maxfr NNP cord-275814-seirbkiq 207 36 1 1 CD cord-275814-seirbkiq 207 37 0 0 CD cord-275814-seirbkiq 207 38 ; ; : cord-275814-seirbkiq 208 1 r r LS cord-275814-seirbkiq 208 2 2 2 CD cord-275814-seirbkiq 208 3 0 0 CD cord-275814-seirbkiq 208 4 g g NN cord-275814-seirbkiq 208 5 : : : cord-275814-seirbkiq 208 6 HPAI HPAI NNP cord-275814-seirbkiq 208 7 and and CC cord-275814-seirbkiq 208 8 pandemic pandemic NN cord-275814-seirbkiq 208 9 avian avian JJ cord-275814-seirbkiq 208 10 influenza influenza NN cord-275814-seirbkiq 208 11 both both DT cord-275814-seirbkiq 208 12 become become VBP cord-275814-seirbkiq 208 13 extinct extinct JJ cord-275814-seirbkiq 208 14 in in IN cord-275814-seirbkiq 208 15 the the DT cord-275814-seirbkiq 208 16 bird bird NN cord-275814-seirbkiq 208 17 and and CC cord-275814-seirbkiq 208 18 human human JJ cord-275814-seirbkiq 208 19 populations population NNS cord-275814-seirbkiq 208 20 when when WRB cord-275814-seirbkiq 208 21 all all PDT cord-275814-seirbkiq 208 22 the the DT cord-275814-seirbkiq 208 23 reproduction reproduction NN cord-275814-seirbkiq 208 24 numbers number NNS cord-275814-seirbkiq 208 25 are be VBP cord-275814-seirbkiq 208 26 less less JJR cord-275814-seirbkiq 208 27 than than IN cord-275814-seirbkiq 208 28 one one CD cord-275814-seirbkiq 208 29 . . . cord-275814-seirbkiq 209 1 The the DT cord-275814-seirbkiq 209 2 preceding precede VBG cord-275814-seirbkiq 209 3 mathematical mathematical JJ cord-275814-seirbkiq 209 4 discussion discussion NN cord-275814-seirbkiq 209 5 leads lead VBZ cord-275814-seirbkiq 209 6 to to IN cord-275814-seirbkiq 209 7 the the DT cord-275814-seirbkiq 209 8 following follow VBG cord-275814-seirbkiq 209 9 important important JJ cord-275814-seirbkiq 209 10 result result NN cord-275814-seirbkiq 209 11 . . . cord-275814-seirbkiq 210 1 Theorem theorem NN cord-275814-seirbkiq 210 2 1 1 CD cord-275814-seirbkiq 210 3 . . . cord-275814-seirbkiq 211 1 If if IN cord-275814-seirbkiq 211 2 r r NN cord-275814-seirbkiq 211 3 0 0 CD cord-275814-seirbkiq 211 4 o1 o1 NN cord-275814-seirbkiq 211 5 ; ; : cord-275814-seirbkiq 211 6 R r NN cord-275814-seirbkiq 211 7 0 0 CD cord-275814-seirbkiq 211 8 o1 o1 NN cord-275814-seirbkiq 211 9 , , , cord-275814-seirbkiq 211 10 then then RB cord-275814-seirbkiq 211 11 the the DT cord-275814-seirbkiq 211 12 DFE DFE NNP cord-275814-seirbkiq 211 13 ε ε NNP cord-275814-seirbkiq 211 14 n n NNP cord-275814-seirbkiq 211 15 is be VBZ cord-275814-seirbkiq 211 16 locally locally RB cord-275814-seirbkiq 211 17 asymptotically asymptotically RB cord-275814-seirbkiq 211 18 stable stable JJ cord-275814-seirbkiq 211 19 . . . cord-275814-seirbkiq 212 1 If if IN cord-275814-seirbkiq 212 2 r r NN cord-275814-seirbkiq 212 3 0 0 CD cord-275814-seirbkiq 212 4 41 41 CD cord-275814-seirbkiq 212 5 or or CC cord-275814-seirbkiq 212 6 R r NN cord-275814-seirbkiq 212 7 0 0 CD cord-275814-seirbkiq 212 8 41 41 CD cord-275814-seirbkiq 212 9 , , , cord-275814-seirbkiq 212 10 then then RB cord-275814-seirbkiq 212 11 the the DT cord-275814-seirbkiq 212 12 DFE DFE NNP cord-275814-seirbkiq 212 13 ε ε NNP cord-275814-seirbkiq 212 14 n n NNP cord-275814-seirbkiq 212 15 is be VBZ cord-275814-seirbkiq 212 16 unstable unstable JJ cord-275814-seirbkiq 212 17 . . . cord-275814-seirbkiq 213 1 Sensitivity sensitivity NN cord-275814-seirbkiq 213 2 analysis analysis NN cord-275814-seirbkiq 213 3 of of IN cord-275814-seirbkiq 213 4 the the DT cord-275814-seirbkiq 213 5 model model NN cord-275814-seirbkiq 213 6 predictions prediction NNS cord-275814-seirbkiq 213 7 to to IN cord-275814-seirbkiq 213 8 small small JJ cord-275814-seirbkiq 213 9 changes change NNS cord-275814-seirbkiq 213 10 in in IN cord-275814-seirbkiq 213 11 parameter parameter NN cord-275814-seirbkiq 213 12 values value NNS cord-275814-seirbkiq 213 13 can can MD cord-275814-seirbkiq 213 14 help help VB cord-275814-seirbkiq 213 15 determine determine VB cord-275814-seirbkiq 213 16 which which WDT cord-275814-seirbkiq 213 17 parameters parameter NNS cord-275814-seirbkiq 213 18 are be VBP cord-275814-seirbkiq 213 19 the the DT cord-275814-seirbkiq 213 20 best good JJS cord-275814-seirbkiq 213 21 targets target NNS cord-275814-seirbkiq 213 22 for for IN cord-275814-seirbkiq 213 23 controlling control VBG cord-275814-seirbkiq 213 24 the the DT cord-275814-seirbkiq 213 25 disease disease NN cord-275814-seirbkiq 213 26 and and CC cord-275814-seirbkiq 213 27 slowing slow VBG cord-275814-seirbkiq 213 28 an an DT cord-275814-seirbkiq 213 29 epidemic epidemic NN cord-275814-seirbkiq 213 30 . . . cord-275814-seirbkiq 214 1 Let let VB cord-275814-seirbkiq 214 2 λ λ NN cord-275814-seirbkiq 214 3 be be VB cord-275814-seirbkiq 214 4 a a DT cord-275814-seirbkiq 214 5 quantity quantity NN cord-275814-seirbkiq 214 6 that that WDT cord-275814-seirbkiq 214 7 depends depend VBZ cord-275814-seirbkiq 214 8 on on IN cord-275814-seirbkiq 214 9 two two CD cord-275814-seirbkiq 214 10 parameters parameter NNS cord-275814-seirbkiq 214 11 of of IN cord-275814-seirbkiq 214 12 different different JJ cord-275814-seirbkiq 214 13 scales scale NNS cord-275814-seirbkiq 214 14 , , , cord-275814-seirbkiq 214 15 i.e. i.e. FW cord-275814-seirbkiq 214 16 , , , cord-275814-seirbkiq 214 17 λ λ NNP cord-275814-seirbkiq 214 18 ¼ ¼ NNP cord-275814-seirbkiq 214 19 λðp λðp NN cord-275814-seirbkiq 214 20 ; ; : cord-275814-seirbkiq 214 21 qÞ. qÞ. NNP cord-275814-seirbkiq 215 1 Then then RB cord-275814-seirbkiq 215 2 , , , cord-275814-seirbkiq 215 3 the the DT cord-275814-seirbkiq 215 4 sensitivity sensitivity NN cord-275814-seirbkiq 215 5 of of IN cord-275814-seirbkiq 215 6 λ λ NN cord-275814-seirbkiq 215 7 with with IN cord-275814-seirbkiq 215 8 respect respect NN cord-275814-seirbkiq 215 9 to to IN cord-275814-seirbkiq 215 10 the the DT cord-275814-seirbkiq 215 11 parameters parameter NNS cord-275814-seirbkiq 215 12 p p NN cord-275814-seirbkiq 216 1 and and CC cord-275814-seirbkiq 216 2 q q NNP cord-275814-seirbkiq 216 3 is be VBZ cord-275814-seirbkiq 216 4 given give VBN cord-275814-seirbkiq 216 5 by by IN cord-275814-seirbkiq 216 6 The the DT cord-275814-seirbkiq 216 7 sensitivity sensitivity NN cord-275814-seirbkiq 216 8 S s NN cord-275814-seirbkiq 217 1 λ λ NN cord-275814-seirbkiq 217 2 p p NN cord-275814-seirbkiq 217 3 gives give VBZ cord-275814-seirbkiq 217 4 the the DT cord-275814-seirbkiq 217 5 amount amount NN cord-275814-seirbkiq 217 6 of of IN cord-275814-seirbkiq 217 7 change change NN cord-275814-seirbkiq 217 8 that that WDT cord-275814-seirbkiq 217 9 occurs occur VBZ cord-275814-seirbkiq 217 10 in in IN cord-275814-seirbkiq 217 11 λ λ NN cord-275814-seirbkiq 217 12 in in IN cord-275814-seirbkiq 217 13 response response NN cord-275814-seirbkiq 217 14 to to IN cord-275814-seirbkiq 217 15 small small JJ cord-275814-seirbkiq 217 16 changes change NNS cord-275814-seirbkiq 217 17 in in IN cord-275814-seirbkiq 217 18 p. p. NN cord-275814-seirbkiq 218 1 However however RB cord-275814-seirbkiq 218 2 , , , cord-275814-seirbkiq 218 3 because because IN cord-275814-seirbkiq 218 4 p p NN cord-275814-seirbkiq 218 5 and and CC cord-275814-seirbkiq 218 6 q q NNP cord-275814-seirbkiq 218 7 are be VBP cord-275814-seirbkiq 218 8 parameters parameter NNS cord-275814-seirbkiq 218 9 with with IN cord-275814-seirbkiq 218 10 different different JJ cord-275814-seirbkiq 218 11 scales scale NNS cord-275814-seirbkiq 218 12 , , , cord-275814-seirbkiq 218 13 the the DT cord-275814-seirbkiq 218 14 effect effect NN cord-275814-seirbkiq 218 15 of of IN cord-275814-seirbkiq 218 16 changes change NNS cord-275814-seirbkiq 218 17 in in IN cord-275814-seirbkiq 218 18 p p NN cord-275814-seirbkiq 218 19 and and CC cord-275814-seirbkiq 218 20 q q NNP cord-275814-seirbkiq 218 21 on on IN cord-275814-seirbkiq 218 22 λ λ NNP cord-275814-seirbkiq 218 23 can can MD cord-275814-seirbkiq 218 24 not not RB cord-275814-seirbkiq 218 25 be be VB cord-275814-seirbkiq 218 26 compared compare VBN cord-275814-seirbkiq 218 27 easily easily RB cord-275814-seirbkiq 218 28 . . . cord-275814-seirbkiq 219 1 Therefore therefore RB cord-275814-seirbkiq 219 2 , , , cord-275814-seirbkiq 219 3 we -PRON- PRP cord-275814-seirbkiq 219 4 use use VBP cord-275814-seirbkiq 219 5 an an DT cord-275814-seirbkiq 219 6 alternative alternative JJ cord-275814-seirbkiq 219 7 measure measure NN cord-275814-seirbkiq 219 8 that that WDT cord-275814-seirbkiq 219 9 allows allow VBZ cord-275814-seirbkiq 219 10 for for IN cord-275814-seirbkiq 219 11 the the DT cord-275814-seirbkiq 219 12 comparison comparison NN cord-275814-seirbkiq 219 13 of of IN cord-275814-seirbkiq 219 14 different different JJ cord-275814-seirbkiq 219 15 scales scale NNS cord-275814-seirbkiq 219 16 . . . cord-275814-seirbkiq 220 1 The the DT cord-275814-seirbkiq 220 2 normalized normalized JJ cord-275814-seirbkiq 220 3 sensitivity sensitivity NN cord-275814-seirbkiq 220 4 , , , cord-275814-seirbkiq 220 5 which which WDT cord-275814-seirbkiq 220 6 is be VBZ cord-275814-seirbkiq 220 7 also also RB cord-275814-seirbkiq 220 8 called call VBN cord-275814-seirbkiq 220 9 elasticity elasticity NN cord-275814-seirbkiq 220 10 , , , cord-275814-seirbkiq 220 11 of of IN cord-275814-seirbkiq 220 12 the the DT cord-275814-seirbkiq 220 13 quantity quantity NN cord-275814-seirbkiq 220 14 λ λ NN cord-275814-seirbkiq 220 15 with with IN cord-275814-seirbkiq 220 16 respect respect NN cord-275814-seirbkiq 220 17 to to IN cord-275814-seirbkiq 220 18 parameter parameter NN cord-275814-seirbkiq 220 19 p p NN cord-275814-seirbkiq 220 20 is be VBZ cord-275814-seirbkiq 220 21 given give VBN cord-275814-seirbkiq 220 22 by by IN cord-275814-seirbkiq 220 23 The the DT cord-275814-seirbkiq 220 24 elasticity elasticity NN cord-275814-seirbkiq 220 25 E e NN cord-275814-seirbkiq 220 26 λ λ NN cord-275814-seirbkiq 220 27 p p NN cord-275814-seirbkiq 220 28 describes describe VBZ cord-275814-seirbkiq 220 29 how how WRB cord-275814-seirbkiq 220 30 the the DT cord-275814-seirbkiq 220 31 quantity quantity NN cord-275814-seirbkiq 220 32 λ λ NN cord-275814-seirbkiq 220 33 is be VBZ cord-275814-seirbkiq 220 34 affected affect VBN cord-275814-seirbkiq 220 35 by by IN cord-275814-seirbkiq 220 36 small small JJ cord-275814-seirbkiq 220 37 changes change NNS cord-275814-seirbkiq 220 38 in in IN cord-275814-seirbkiq 220 39 p. p. NN cord-275814-seirbkiq 221 1 A a DT cord-275814-seirbkiq 221 2 negative negative JJ cord-275814-seirbkiq 221 3 elasticity elasticity NN cord-275814-seirbkiq 221 4 means mean VBZ cord-275814-seirbkiq 221 5 that that IN cord-275814-seirbkiq 221 6 a a DT cord-275814-seirbkiq 221 7 onepercent onepercent NN cord-275814-seirbkiq 221 8 increase increase NN cord-275814-seirbkiq 221 9 in in IN cord-275814-seirbkiq 221 10 the the DT cord-275814-seirbkiq 221 11 parameter parameter NN cord-275814-seirbkiq 221 12 p p NN cord-275814-seirbkiq 221 13 results result NNS cord-275814-seirbkiq 221 14 in in IN cord-275814-seirbkiq 221 15 an an DT cord-275814-seirbkiq 221 16 E e NN cord-275814-seirbkiq 221 17 λ λ NN cord-275814-seirbkiq 221 18 p p NN cord-275814-seirbkiq 221 19 % % NN cord-275814-seirbkiq 221 20 decrease decrease NN cord-275814-seirbkiq 221 21 in in IN cord-275814-seirbkiq 221 22 λ λ NN cord-275814-seirbkiq 221 23 . . . cord-275814-seirbkiq 222 1 Similarly similarly RB cord-275814-seirbkiq 222 2 , , , cord-275814-seirbkiq 222 3 a a DT cord-275814-seirbkiq 222 4 positive positive JJ cord-275814-seirbkiq 222 5 elasticity elasticity NN cord-275814-seirbkiq 222 6 means mean VBZ cord-275814-seirbkiq 222 7 that that IN cord-275814-seirbkiq 222 8 a a DT cord-275814-seirbkiq 222 9 one one CD cord-275814-seirbkiq 222 10 - - HYPH cord-275814-seirbkiq 222 11 percent percent NN cord-275814-seirbkiq 222 12 increase increase NN cord-275814-seirbkiq 222 13 in in IN cord-275814-seirbkiq 222 14 the the DT cord-275814-seirbkiq 222 15 parameter parameter NN cord-275814-seirbkiq 222 16 p p NN cord-275814-seirbkiq 222 17 results result NNS cord-275814-seirbkiq 222 18 in in IN cord-275814-seirbkiq 222 19 an an DT cord-275814-seirbkiq 222 20 E e NN cord-275814-seirbkiq 222 21 λ λ NN cord-275814-seirbkiq 222 22 p p NN cord-275814-seirbkiq 222 23 % % NN cord-275814-seirbkiq 222 24 increase increase NN cord-275814-seirbkiq 222 25 in in IN cord-275814-seirbkiq 222 26 λ λ NN cord-275814-seirbkiq 222 27 . . . cord-275814-seirbkiq 223 1 In in IN cord-275814-seirbkiq 223 2 the the DT cord-275814-seirbkiq 223 3 following following JJ cord-275814-seirbkiq 223 4 section section NN cord-275814-seirbkiq 223 5 , , , cord-275814-seirbkiq 223 6 we -PRON- PRP cord-275814-seirbkiq 223 7 derive derive VBP cord-275814-seirbkiq 223 8 analytic analytic JJ cord-275814-seirbkiq 223 9 expressions expression NNS cord-275814-seirbkiq 223 10 for for IN cord-275814-seirbkiq 223 11 the the DT cord-275814-seirbkiq 223 12 elasticities elasticity NNS cord-275814-seirbkiq 223 13 of of IN cord-275814-seirbkiq 223 14 the the DT cord-275814-seirbkiq 223 15 basic basic JJ cord-275814-seirbkiq 223 16 reproduction reproduction NN cord-275814-seirbkiq 223 17 number number NN cord-275814-seirbkiq 223 18 and and CC cord-275814-seirbkiq 223 19 the the DT cord-275814-seirbkiq 223 20 prevalence prevalence NN cord-275814-seirbkiq 223 21 of of IN cord-275814-seirbkiq 223 22 pandemic pandemic NN cord-275814-seirbkiq 223 23 avian avian JJ cord-275814-seirbkiq 223 24 influenza influenza NN cord-275814-seirbkiq 223 25 . . . cord-275814-seirbkiq 224 1 The the DT cord-275814-seirbkiq 224 2 elasticity elasticity NN cord-275814-seirbkiq 224 3 values value NNS cord-275814-seirbkiq 224 4 are be VBP cord-275814-seirbkiq 224 5 analyzed analyze VBN cord-275814-seirbkiq 224 6 in in IN cord-275814-seirbkiq 224 7 the the DT cord-275814-seirbkiq 224 8 context context NN cord-275814-seirbkiq 224 9 of of IN cord-275814-seirbkiq 224 10 the the DT cord-275814-seirbkiq 224 11 simulation simulation NN cord-275814-seirbkiq 224 12 results result NNS cord-275814-seirbkiq 224 13 . . . cord-275814-seirbkiq 225 1 This this DT cord-275814-seirbkiq 225 2 section section NN cord-275814-seirbkiq 225 3 presents present VBZ cord-275814-seirbkiq 225 4 the the DT cord-275814-seirbkiq 225 5 numerical numerical JJ cord-275814-seirbkiq 225 6 simulation simulation NN cord-275814-seirbkiq 225 7 results result NNS cord-275814-seirbkiq 225 8 for for IN cord-275814-seirbkiq 225 9 the the DT cord-275814-seirbkiq 225 10 two two CD cord-275814-seirbkiq 225 11 - - HYPH cord-275814-seirbkiq 225 12 city city NN cord-275814-seirbkiq 225 13 model model NN cord-275814-seirbkiq 225 14 . . . cord-275814-seirbkiq 226 1 The the DT cord-275814-seirbkiq 226 2 two two CD cord-275814-seirbkiq 226 3 - - HYPH cord-275814-seirbkiq 226 4 city city NN cord-275814-seirbkiq 226 5 model model NN cord-275814-seirbkiq 226 6 was be VBD cord-275814-seirbkiq 226 7 solved solve VBN cord-275814-seirbkiq 226 8 numerically numerically RB cord-275814-seirbkiq 226 9 using use VBG cord-275814-seirbkiq 226 10 the the DT cord-275814-seirbkiq 226 11 ode15s ode15s UH cord-275814-seirbkiq 226 12 built build VBN cord-275814-seirbkiq 226 13 - - HYPH cord-275814-seirbkiq 226 14 in in RP cord-275814-seirbkiq 226 15 function function NN cord-275814-seirbkiq 226 16 provided provide VBN cord-275814-seirbkiq 226 17 in in IN cord-275814-seirbkiq 226 18 Matlab Matlab NNP cord-275814-seirbkiq 226 19 2011b 2011b CD cord-275814-seirbkiq 226 20 . . . cord-275814-seirbkiq 227 1 The the DT cord-275814-seirbkiq 227 2 parameters parameter NNS cord-275814-seirbkiq 227 3 were be VBD cord-275814-seirbkiq 227 4 set set VBN cord-275814-seirbkiq 227 5 to to IN cord-275814-seirbkiq 227 6 the the DT cord-275814-seirbkiq 227 7 values value NNS cord-275814-seirbkiq 227 8 described describe VBN cord-275814-seirbkiq 227 9 in in IN cord-275814-seirbkiq 227 10 Section section NN cord-275814-seirbkiq 227 11 2 2 CD cord-275814-seirbkiq 227 12 . . . cord-275814-seirbkiq 228 1 In in IN cord-275814-seirbkiq 228 2 the the DT cord-275814-seirbkiq 228 3 simulations simulation NNS cord-275814-seirbkiq 228 4 , , , cord-275814-seirbkiq 228 5 a a DT cord-275814-seirbkiq 228 6 small small JJ cord-275814-seirbkiq 228 7 initial initial JJ cord-275814-seirbkiq 228 8 infection infection NN cord-275814-seirbkiq 228 9 was be VBD cord-275814-seirbkiq 228 10 introduced introduce VBN cord-275814-seirbkiq 228 11 in in IN cord-275814-seirbkiq 228 12 the the DT cord-275814-seirbkiq 228 13 origin origin NN cord-275814-seirbkiq 228 14 city city NN cord-275814-seirbkiq 228 15 of of IN cord-275814-seirbkiq 228 16 the the DT cord-275814-seirbkiq 228 17 pandemic pandemic NN cord-275814-seirbkiq 228 18 , , , cord-275814-seirbkiq 228 19 and and CC cord-275814-seirbkiq 228 20 it -PRON- PRP cord-275814-seirbkiq 228 21 was be VBD cord-275814-seirbkiq 228 22 assumed assume VBN cord-275814-seirbkiq 228 23 that that IN cord-275814-seirbkiq 228 24 no no DT cord-275814-seirbkiq 228 25 infected infect VBN cord-275814-seirbkiq 228 26 cases case NNS cord-275814-seirbkiq 228 27 exist exist VBP cord-275814-seirbkiq 228 28 initially initially RB cord-275814-seirbkiq 228 29 in in IN cord-275814-seirbkiq 228 30 any any DT cord-275814-seirbkiq 228 31 of of IN cord-275814-seirbkiq 228 32 the the DT cord-275814-seirbkiq 228 33 U.S. U.S. NNP cord-275814-seirbkiq 228 34 cities city NNS cord-275814-seirbkiq 228 35 . . . cord-275814-seirbkiq 229 1 A a DT cord-275814-seirbkiq 229 2 total total NN cord-275814-seirbkiq 229 3 of of IN cord-275814-seirbkiq 229 4 fourteen fourteen CD cord-275814-seirbkiq 229 5 simulations simulation NNS cord-275814-seirbkiq 229 6 were be VBD cord-275814-seirbkiq 229 7 conducted conduct VBN cord-275814-seirbkiq 229 8 for for IN cord-275814-seirbkiq 229 9 the the DT cord-275814-seirbkiq 229 10 spread spread NN cord-275814-seirbkiq 229 11 of of IN cord-275814-seirbkiq 229 12 the the DT cord-275814-seirbkiq 229 13 pandemic pandemic NN cord-275814-seirbkiq 229 14 spanning span VBG cord-275814-seirbkiq 229 15 a a DT cord-275814-seirbkiq 229 16 period period NN cord-275814-seirbkiq 229 17 of of IN cord-275814-seirbkiq 229 18 ten ten CD cord-275814-seirbkiq 229 19 years year NNS cord-275814-seirbkiq 229 20 . . . cord-275814-seirbkiq 230 1 The the DT cord-275814-seirbkiq 230 2 reproduction reproduction NN cord-275814-seirbkiq 230 3 number number NN cord-275814-seirbkiq 230 4 for for IN cord-275814-seirbkiq 230 5 the the DT cord-275814-seirbkiq 230 6 bird bird NN cord-275814-seirbkiq 230 7 population population NN cord-275814-seirbkiq 230 8 was be VBD cord-275814-seirbkiq 230 9 computed compute VBN cord-275814-seirbkiq 230 10 to to TO cord-275814-seirbkiq 230 11 be be VB cord-275814-seirbkiq 230 12 r r NN cord-275814-seirbkiq 230 13 0 0 CD cord-275814-seirbkiq 231 1 ¼ ¼ NNP cord-275814-seirbkiq 231 2 1:06 1:06 CD cord-275814-seirbkiq 231 3 . . . cord-275814-seirbkiq 232 1 The the DT cord-275814-seirbkiq 232 2 computed compute VBN cord-275814-seirbkiq 232 3 reproduction reproduction NN cord-275814-seirbkiq 232 4 numbers number NNS cord-275814-seirbkiq 232 5 for for IN cord-275814-seirbkiq 232 6 humans human NNS cord-275814-seirbkiq 232 7 in in IN cord-275814-seirbkiq 232 8 the the DT cord-275814-seirbkiq 232 9 various various JJ cord-275814-seirbkiq 232 10 cities city NNS cord-275814-seirbkiq 232 11 are be VBP cord-275814-seirbkiq 232 12 shown show VBN cord-275814-seirbkiq 232 13 in in IN cord-275814-seirbkiq 232 14 Table Table NNP cord-275814-seirbkiq 232 15 6 6 CD cord-275814-seirbkiq 232 16 . . . cord-275814-seirbkiq 233 1 The the DT cord-275814-seirbkiq 233 2 fact fact NN cord-275814-seirbkiq 233 3 that that IN cord-275814-seirbkiq 233 4 the the DT cord-275814-seirbkiq 233 5 bird bird NN cord-275814-seirbkiq 233 6 population population NN cord-275814-seirbkiq 233 7 reproduction reproduction NN cord-275814-seirbkiq 233 8 number number NN cord-275814-seirbkiq 233 9 is be VBZ cord-275814-seirbkiq 233 10 greater great JJR cord-275814-seirbkiq 233 11 than than IN cord-275814-seirbkiq 233 12 one one CD cord-275814-seirbkiq 234 1 ( ( -LRB- cord-275814-seirbkiq 234 2 r r NN cord-275814-seirbkiq 234 3 0 0 CD cord-275814-seirbkiq 234 4 ¼ ¼ CD cord-275814-seirbkiq 234 5 1:06 1:06 CD cord-275814-seirbkiq 234 6 ) ) -RRB- cord-275814-seirbkiq 234 7 suggests suggest VBZ cord-275814-seirbkiq 234 8 that that IN cord-275814-seirbkiq 234 9 the the DT cord-275814-seirbkiq 234 10 DFE DFE NNP cord-275814-seirbkiq 234 11 is be VBZ cord-275814-seirbkiq 234 12 unstable unstable JJ cord-275814-seirbkiq 234 13 , , , cord-275814-seirbkiq 234 14 and and CC cord-275814-seirbkiq 234 15 this this DT cord-275814-seirbkiq 234 16 is be VBZ cord-275814-seirbkiq 234 17 in in IN cord-275814-seirbkiq 234 18 agreement agreement NN cord-275814-seirbkiq 234 19 with with IN cord-275814-seirbkiq 234 20 the the DT cord-275814-seirbkiq 234 21 corresponding corresponding JJ cord-275814-seirbkiq 234 22 simulation simulation NN cord-275814-seirbkiq 234 23 results result NNS cord-275814-seirbkiq 234 24 ( ( -LRB- cord-275814-seirbkiq 234 25 Figs fig NNS cord-275814-seirbkiq 234 26 . . . cord-275814-seirbkiq 235 1 2 2 LS cord-275814-seirbkiq 235 2 - - SYM cord-275814-seirbkiq 235 3 15 15 CD cord-275814-seirbkiq 235 4 listed list VBN cord-275814-seirbkiq 235 5 in in IN cord-275814-seirbkiq 235 6 the the DT cord-275814-seirbkiq 235 7 last last JJ cord-275814-seirbkiq 235 8 column column NN cord-275814-seirbkiq 235 9 of of IN cord-275814-seirbkiq 235 10 Table Table NNP cord-275814-seirbkiq 235 11 6 6 CD cord-275814-seirbkiq 235 12 ) ) -RRB- cord-275814-seirbkiq 235 13 . . . cord-275814-seirbkiq 236 1 In in IN cord-275814-seirbkiq 236 2 each each DT cord-275814-seirbkiq 236 3 of of IN cord-275814-seirbkiq 236 4 these these DT cord-275814-seirbkiq 236 5 figures figure NNS cord-275814-seirbkiq 236 6 , , , cord-275814-seirbkiq 236 7 subfigure(a subfigure(a NN cord-275814-seirbkiq 236 8 ) ) -RRB- cord-275814-seirbkiq 236 9 shows show VBZ cord-275814-seirbkiq 236 10 the the DT cord-275814-seirbkiq 236 11 number number NN cord-275814-seirbkiq 236 12 of of IN cord-275814-seirbkiq 236 13 infected infected JJ cord-275814-seirbkiq 236 14 individuals individual NNS cord-275814-seirbkiq 236 15 with with IN cord-275814-seirbkiq 236 16 pandemic pandemic NN cord-275814-seirbkiq 236 17 avian avian JJ cord-275814-seirbkiq 236 18 influenza influenza NN cord-275814-seirbkiq 236 19 in in IN cord-275814-seirbkiq 236 20 the the DT cord-275814-seirbkiq 236 21 origin origin NN cord-275814-seirbkiq 236 22 city city NN cord-275814-seirbkiq 236 23 while while IN cord-275814-seirbkiq 236 24 subfigure(b subfigure(b NNP cord-275814-seirbkiq 236 25 ) ) -RRB- cord-275814-seirbkiq 236 26 shows show VBZ cord-275814-seirbkiq 236 27 the the DT cord-275814-seirbkiq 236 28 number number NN cord-275814-seirbkiq 236 29 of of IN cord-275814-seirbkiq 236 30 infected infected JJ cord-275814-seirbkiq 236 31 individuals individual NNS cord-275814-seirbkiq 236 32 with with IN cord-275814-seirbkiq 236 33 pandemic pandemic NN cord-275814-seirbkiq 236 34 avian avian JJ cord-275814-seirbkiq 236 35 influenza influenza NN cord-275814-seirbkiq 236 36 in in IN cord-275814-seirbkiq 236 37 the the DT cord-275814-seirbkiq 236 38 destination destination NN cord-275814-seirbkiq 236 39 U.S. U.S. NNP cord-275814-seirbkiq 236 40 city city NN cord-275814-seirbkiq 236 41 . . . cord-275814-seirbkiq 237 1 In in IN cord-275814-seirbkiq 237 2 the the DT cord-275814-seirbkiq 237 3 simulations simulation NNS cord-275814-seirbkiq 237 4 , , , cord-275814-seirbkiq 237 5 we -PRON- PRP cord-275814-seirbkiq 237 6 see see VBP cord-275814-seirbkiq 237 7 that that DT cord-275814-seirbkiq 237 8 for for IN cord-275814-seirbkiq 237 9 the the DT cord-275814-seirbkiq 237 10 air air NN cord-275814-seirbkiq 237 11 travel travel NN cord-275814-seirbkiq 237 12 data datum NNS cord-275814-seirbkiq 237 13 taken take VBN cord-275814-seirbkiq 237 14 from from IN cord-275814-seirbkiq 237 15 Table Table NNP cord-275814-seirbkiq 237 16 3 3 CD cord-275814-seirbkiq 237 17 , , , cord-275814-seirbkiq 237 18 the the DT cord-275814-seirbkiq 237 19 numbers number NNS cord-275814-seirbkiq 237 20 of of IN cord-275814-seirbkiq 237 21 infected infected JJ cord-275814-seirbkiq 237 22 people people NNS cord-275814-seirbkiq 237 23 in in IN cord-275814-seirbkiq 237 24 U.S. U.S. NNP cord-275814-seirbkiq 237 25 cities city NNS cord-275814-seirbkiq 237 26 are be VBP cord-275814-seirbkiq 237 27 less less JJR cord-275814-seirbkiq 237 28 than than IN cord-275814-seirbkiq 237 29 those those DT cord-275814-seirbkiq 237 30 in in IN cord-275814-seirbkiq 237 31 the the DT cord-275814-seirbkiq 237 32 origin origin NN cord-275814-seirbkiq 237 33 cities city NNS cord-275814-seirbkiq 237 34 . . . cord-275814-seirbkiq 238 1 On on IN cord-275814-seirbkiq 238 2 the the DT cord-275814-seirbkiq 238 3 other other JJ cord-275814-seirbkiq 238 4 hand hand NN cord-275814-seirbkiq 238 5 , , , cord-275814-seirbkiq 238 6 when when WRB cord-275814-seirbkiq 238 7 we -PRON- PRP cord-275814-seirbkiq 238 8 consider consider VBP cord-275814-seirbkiq 238 9 the the DT cord-275814-seirbkiq 238 10 data datum NNS cord-275814-seirbkiq 238 11 from from IN cord-275814-seirbkiq 238 12 Table Table NNP cord-275814-seirbkiq 238 13 4 4 CD cord-275814-seirbkiq 238 14 , , , cord-275814-seirbkiq 238 15 it -PRON- PRP cord-275814-seirbkiq 238 16 is be VBZ cord-275814-seirbkiq 238 17 interesting interesting JJ cord-275814-seirbkiq 238 18 to to TO cord-275814-seirbkiq 238 19 see see VB cord-275814-seirbkiq 238 20 that that IN cord-275814-seirbkiq 238 21 the the DT cord-275814-seirbkiq 238 22 situation situation NN cord-275814-seirbkiq 238 23 reverses reverse VBZ cord-275814-seirbkiq 238 24 . . . cord-275814-seirbkiq 239 1 This this DT cord-275814-seirbkiq 239 2 is be VBZ cord-275814-seirbkiq 239 3 not not RB cord-275814-seirbkiq 239 4 surprising surprising JJ cord-275814-seirbkiq 239 5 because because IN cord-275814-seirbkiq 239 6 the the DT cord-275814-seirbkiq 239 7 travel travel NN cord-275814-seirbkiq 239 8 rates rate NNS cord-275814-seirbkiq 239 9 differ differ VBP cord-275814-seirbkiq 239 10 considerably considerably RB cord-275814-seirbkiq 239 11 in in IN cord-275814-seirbkiq 239 12 the the DT cord-275814-seirbkiq 239 13 two two CD cord-275814-seirbkiq 239 14 types type NNS cord-275814-seirbkiq 239 15 of of IN cord-275814-seirbkiq 239 16 data datum NNS cord-275814-seirbkiq 239 17 . . . cord-275814-seirbkiq 240 1 Tokyo Tokyo NNP cord-275814-seirbkiq 240 2 has have VBZ cord-275814-seirbkiq 240 3 the the DT cord-275814-seirbkiq 240 4 busiest busy JJS cord-275814-seirbkiq 240 5 air air NN cord-275814-seirbkiq 240 6 traffic traffic NN cord-275814-seirbkiq 240 7 to to IN cord-275814-seirbkiq 240 8 the the DT cord-275814-seirbkiq 240 9 United United NNP cord-275814-seirbkiq 240 10 States States NNP cord-275814-seirbkiq 240 11 -5.2 -5.2 CD cord-275814-seirbkiq 240 12 million million CD cord-275814-seirbkiq 240 13 passengers passenger NNS cord-275814-seirbkiq 240 14 in in IN cord-275814-seirbkiq 240 15 just just RB cord-275814-seirbkiq 240 16 one one CD cord-275814-seirbkiq 240 17 quarter quarter NN cord-275814-seirbkiq 240 18 ( ( -LRB- cord-275814-seirbkiq 240 19 Table Table NNP cord-275814-seirbkiq 240 20 4 4 CD cord-275814-seirbkiq 240 21 ) ) -RRB- cord-275814-seirbkiq 240 22 . . . cord-275814-seirbkiq 241 1 This this DT cord-275814-seirbkiq 241 2 contributes contribute VBZ cord-275814-seirbkiq 241 3 to to IN cord-275814-seirbkiq 241 4 a a DT cord-275814-seirbkiq 241 5 high high JJ cord-275814-seirbkiq 241 6 travel travel NN cord-275814-seirbkiq 241 7 rate rate NN cord-275814-seirbkiq 241 8 because because IN cord-275814-seirbkiq 241 9 the the DT cord-275814-seirbkiq 241 10 population population NN cord-275814-seirbkiq 241 11 of of IN cord-275814-seirbkiq 241 12 Tokyo Tokyo NNP cord-275814-seirbkiq 241 13 is be VBZ cord-275814-seirbkiq 241 14 13.2 13.2 CD cord-275814-seirbkiq 241 15 million million CD cord-275814-seirbkiq 241 16 ( ( -LRB- cord-275814-seirbkiq 241 17 k k NNP cord-275814-seirbkiq 241 18 1 1 CD cord-275814-seirbkiq 241 19 ¼ ¼ CD cord-275814-seirbkiq 241 20 0:0043 0:0043 NNPS cord-275814-seirbkiq 241 21 and and CC cord-275814-seirbkiq 241 22 k k NNP cord-275814-seirbkiq 241 23 2 2 CD cord-275814-seirbkiq 241 24 ¼ ¼ CD cord-275814-seirbkiq 241 25 0:00018 0:00018 NNP cord-275814-seirbkiq 241 26 ) ) -RRB- cord-275814-seirbkiq 241 27 . . . cord-275814-seirbkiq 242 1 The the DT cord-275814-seirbkiq 242 2 next next JJ cord-275814-seirbkiq 242 3 section section NN cord-275814-seirbkiq 242 4 investigates investigate VBZ cord-275814-seirbkiq 242 5 the the DT cord-275814-seirbkiq 242 6 effects effect NNS cord-275814-seirbkiq 242 7 of of IN cord-275814-seirbkiq 242 8 air air NN cord-275814-seirbkiq 242 9 travel travel NN cord-275814-seirbkiq 242 10 on on IN cord-275814-seirbkiq 242 11 pandemic pandemic JJ cord-275814-seirbkiq 242 12 prevalence prevalence NN cord-275814-seirbkiq 242 13 in in IN cord-275814-seirbkiq 242 14 more more JJR cord-275814-seirbkiq 242 15 detail detail NN cord-275814-seirbkiq 242 16 . . . cord-275814-seirbkiq 243 1 3.2 3.2 CD cord-275814-seirbkiq 243 2 . . . cord-275814-seirbkiq 244 1 Several several JJ cord-275814-seirbkiq 244 2 researchers researcher NNS cord-275814-seirbkiq 244 3 have have VBP cord-275814-seirbkiq 244 4 studied study VBN cord-275814-seirbkiq 244 5 the the DT cord-275814-seirbkiq 244 6 state state NN cord-275814-seirbkiq 244 7 of of IN cord-275814-seirbkiq 244 8 H5N1 H5N1 NNP cord-275814-seirbkiq 244 9 infections infection NNS cord-275814-seirbkiq 244 10 in in IN cord-275814-seirbkiq 244 11 bird bird NN cord-275814-seirbkiq 244 12 populations population NNS cord-275814-seirbkiq 244 13 [ [ -LRB- cord-275814-seirbkiq 244 14 11 11 CD cord-275814-seirbkiq 244 15 , , , cord-275814-seirbkiq 244 16 12 12 CD cord-275814-seirbkiq 244 17 , , , cord-275814-seirbkiq 244 18 15 15 CD cord-275814-seirbkiq 244 19 ] ] -RRB- cord-275814-seirbkiq 244 20 . . . cord-275814-seirbkiq 245 1 These these DT cord-275814-seirbkiq 245 2 studies study NNS cord-275814-seirbkiq 245 3 suggest suggest VBP cord-275814-seirbkiq 245 4 that that IN cord-275814-seirbkiq 245 5 H5N1 H5N1 NNP cord-275814-seirbkiq 245 6 infections infection NNS cord-275814-seirbkiq 245 7 are be VBP cord-275814-seirbkiq 245 8 at at IN cord-275814-seirbkiq 245 9 the the DT cord-275814-seirbkiq 245 10 endemic endemic JJ cord-275814-seirbkiq 245 11 state state NN cord-275814-seirbkiq 245 12 in in IN cord-275814-seirbkiq 245 13 bird bird NN cord-275814-seirbkiq 245 14 populations population NNS cord-275814-seirbkiq 245 15 . . . cord-275814-seirbkiq 246 1 As as IN cord-275814-seirbkiq 246 2 such such JJ cord-275814-seirbkiq 246 3 , , , cord-275814-seirbkiq 246 4 the the DT cord-275814-seirbkiq 246 5 reproduction reproduction NN cord-275814-seirbkiq 246 6 numbers number NNS cord-275814-seirbkiq 246 7 for for IN cord-275814-seirbkiq 246 8 the the DT cord-275814-seirbkiq 246 9 bird bird NN cord-275814-seirbkiq 246 10 populations population NNS cord-275814-seirbkiq 246 11 should should MD cord-275814-seirbkiq 246 12 be be VB cord-275814-seirbkiq 246 13 reduced reduce VBN cord-275814-seirbkiq 246 14 to to TO cord-275814-seirbkiq 246 15 control control VB cord-275814-seirbkiq 246 16 the the DT cord-275814-seirbkiq 246 17 disease disease NN cord-275814-seirbkiq 246 18 . . . cord-275814-seirbkiq 247 1 If if IN cord-275814-seirbkiq 247 2 the the DT cord-275814-seirbkiq 247 3 reproduction reproduction NN cord-275814-seirbkiq 247 4 number number NN cord-275814-seirbkiq 247 5 r r NN cord-275814-seirbkiq 247 6 0 0 CD cord-275814-seirbkiq 247 7 is be VBZ cord-275814-seirbkiq 247 8 kept keep VBN cord-275814-seirbkiq 247 9 below below IN cord-275814-seirbkiq 247 10 1 1 CD cord-275814-seirbkiq 247 11 , , , cord-275814-seirbkiq 247 12 then then RB cord-275814-seirbkiq 247 13 an an DT cord-275814-seirbkiq 247 14 H5N1 H5N1 NNP cord-275814-seirbkiq 247 15 infection infection NN cord-275814-seirbkiq 247 16 in in IN cord-275814-seirbkiq 247 17 a a DT cord-275814-seirbkiq 247 18 bird bird NN cord-275814-seirbkiq 247 19 population population NN cord-275814-seirbkiq 247 20 is be VBZ cord-275814-seirbkiq 247 21 eliminated eliminate VBN cord-275814-seirbkiq 247 22 . . . cord-275814-seirbkiq 248 1 As as IN cord-275814-seirbkiq 248 2 a a DT cord-275814-seirbkiq 248 3 consequence consequence NN cord-275814-seirbkiq 248 4 , , , cord-275814-seirbkiq 248 5 " " '' cord-275814-seirbkiq 248 6 spill spill VB cord-275814-seirbkiq 248 7 over over IN cord-275814-seirbkiq 248 8 " " `` cord-275814-seirbkiq 248 9 infections infection NNS cord-275814-seirbkiq 248 10 to to IN cord-275814-seirbkiq 248 11 human human JJ cord-275814-seirbkiq 248 12 populations population NNS cord-275814-seirbkiq 248 13 are be VBP cord-275814-seirbkiq 248 14 also also RB cord-275814-seirbkiq 248 15 eliminated eliminate VBN cord-275814-seirbkiq 248 16 [ [ -LRB- cord-275814-seirbkiq 248 17 12 12 CD cord-275814-seirbkiq 248 18 ] ] -RRB- cord-275814-seirbkiq 248 19 . . . cord-275814-seirbkiq 249 1 Martcheva Martcheva NNP cord-275814-seirbkiq 249 2 [ [ -LRB- cord-275814-seirbkiq 249 3 12 12 CD cord-275814-seirbkiq 249 4 ] ] -RRB- cord-275814-seirbkiq 249 5 conducted conduct VBD cord-275814-seirbkiq 249 6 a a DT cord-275814-seirbkiq 249 7 sensitivity sensitivity NN cord-275814-seirbkiq 249 8 analysis analysis NN cord-275814-seirbkiq 249 9 of of IN cord-275814-seirbkiq 249 10 the the DT cord-275814-seirbkiq 249 11 reproduction reproduction NN cord-275814-seirbkiq 249 12 number number NN cord-275814-seirbkiq 249 13 r r NN cord-275814-seirbkiq 249 14 0 0 CD cord-275814-seirbkiq 249 15 and and CC cord-275814-seirbkiq 249 16 reports report VBZ cord-275814-seirbkiq 249 17 the the DT cord-275814-seirbkiq 249 18 following follow VBG cord-275814-seirbkiq 249 19 results result NNS cord-275814-seirbkiq 249 20 : : : cord-275814-seirbkiq 249 21 These these DT cord-275814-seirbkiq 249 22 results result NNS cord-275814-seirbkiq 249 23 suggest suggest VBP cord-275814-seirbkiq 249 24 that that IN cord-275814-seirbkiq 249 25 the the DT cord-275814-seirbkiq 249 26 highest high JJS cord-275814-seirbkiq 249 27 impact impact NN cord-275814-seirbkiq 249 28 on on IN cord-275814-seirbkiq 249 29 r r NN cord-275814-seirbkiq 249 30 0 0 CD cord-275814-seirbkiq 249 31 is be VBZ cord-275814-seirbkiq 249 32 obtained obtain VBN cord-275814-seirbkiq 249 33 by by IN cord-275814-seirbkiq 249 34 increasing increase VBG cord-275814-seirbkiq 249 35 the the DT cord-275814-seirbkiq 249 36 natural natural JJ cord-275814-seirbkiq 249 37 death death NN cord-275814-seirbkiq 249 38 rate rate NN cord-275814-seirbkiq 249 39 for for IN cord-275814-seirbkiq 249 40 the the DT cord-275814-seirbkiq 249 41 bird bird NN cord-275814-seirbkiq 249 42 population population NN cord-275814-seirbkiq 249 43 μ μ NN cord-275814-seirbkiq 249 44 d d NNP cord-275814-seirbkiq 249 45 . . . cord-275814-seirbkiq 250 1 Thus thus RB cord-275814-seirbkiq 250 2 , , , cord-275814-seirbkiq 250 3 one one CD cord-275814-seirbkiq 250 4 of of IN cord-275814-seirbkiq 250 5 the the DT cord-275814-seirbkiq 250 6 most most RBS cord-275814-seirbkiq 250 7 effective effective JJ cord-275814-seirbkiq 250 8 control control NN cord-275814-seirbkiq 250 9 measures measure NNS cord-275814-seirbkiq 250 10 that that WDT cord-275814-seirbkiq 250 11 can can MD cord-275814-seirbkiq 250 12 be be VB cord-275814-seirbkiq 250 13 applied apply VBN cord-275814-seirbkiq 250 14 to to IN cord-275814-seirbkiq 250 15 poultry poultry NN cord-275814-seirbkiq 250 16 is be VBZ cord-275814-seirbkiq 250 17 culling cull VBG cord-275814-seirbkiq 250 18 . . . cord-275814-seirbkiq 251 1 Culling culling NN cord-275814-seirbkiq 251 2 increases increase VBZ cord-275814-seirbkiq 251 3 the the DT cord-275814-seirbkiq 251 4 parameter parameter NN cord-275814-seirbkiq 251 5 μ μ NN cord-275814-seirbkiq 251 6 d d NNP cord-275814-seirbkiq 251 7 and and CC cord-275814-seirbkiq 251 8 produces produce VBZ cord-275814-seirbkiq 251 9 the the DT cord-275814-seirbkiq 251 10 largest large JJS cord-275814-seirbkiq 251 11 change change NN cord-275814-seirbkiq 251 12 to to IN cord-275814-seirbkiq 251 13 r r NN cord-275814-seirbkiq 251 14 0 0 CD cord-275814-seirbkiq 251 15 . . . cord-275814-seirbkiq 252 1 In in IN cord-275814-seirbkiq 252 2 the the DT cord-275814-seirbkiq 252 3 pandemic pandemic NN cord-275814-seirbkiq 252 4 scenario scenario NN cord-275814-seirbkiq 252 5 , , , cord-275814-seirbkiq 252 6 the the DT cord-275814-seirbkiq 252 7 reproduction reproduction NN cord-275814-seirbkiq 252 8 number number NN cord-275814-seirbkiq 252 9 r r NN cord-275814-seirbkiq 252 10 0 0 CD cord-275814-seirbkiq 252 11 is be VBZ cord-275814-seirbkiq 252 12 also also RB cord-275814-seirbkiq 252 13 an an DT cord-275814-seirbkiq 252 14 important important JJ cord-275814-seirbkiq 252 15 parameter parameter NN cord-275814-seirbkiq 252 16 whose whose WP$ cord-275814-seirbkiq 252 17 value value NN cord-275814-seirbkiq 252 18 should should MD cord-275814-seirbkiq 252 19 be be VB cord-275814-seirbkiq 252 20 kept keep VBN cord-275814-seirbkiq 252 21 below below IN cord-275814-seirbkiq 252 22 one one CD cord-275814-seirbkiq 252 23 . . . cord-275814-seirbkiq 253 1 However however RB cord-275814-seirbkiq 253 2 , , , cord-275814-seirbkiq 253 3 control control NN cord-275814-seirbkiq 253 4 measures measure NNS cord-275814-seirbkiq 253 5 applied apply VBN cord-275814-seirbkiq 253 6 to to IN cord-275814-seirbkiq 253 7 a a DT cord-275814-seirbkiq 253 8 bird bird NN cord-275814-seirbkiq 253 9 population population NN cord-275814-seirbkiq 253 10 may may MD cord-275814-seirbkiq 253 11 be be VB cord-275814-seirbkiq 253 12 insufficient insufficient JJ cord-275814-seirbkiq 253 13 to to TO cord-275814-seirbkiq 253 14 reduce reduce VB cord-275814-seirbkiq 253 15 the the DT cord-275814-seirbkiq 253 16 prevalence prevalence NN cord-275814-seirbkiq 253 17 of of IN cord-275814-seirbkiq 253 18 a a DT cord-275814-seirbkiq 253 19 pandemic pandemic NN cord-275814-seirbkiq 253 20 . . . cord-275814-seirbkiq 254 1 We -PRON- PRP cord-275814-seirbkiq 254 2 now now RB cord-275814-seirbkiq 254 3 develop develop VBP cord-275814-seirbkiq 254 4 an an DT cord-275814-seirbkiq 254 5 analytic analytic JJ cord-275814-seirbkiq 254 6 expression expression NN cord-275814-seirbkiq 254 7 for for IN cord-275814-seirbkiq 254 8 the the DT cord-275814-seirbkiq 254 9 number number NN cord-275814-seirbkiq 254 10 of of IN cord-275814-seirbkiq 254 11 infected infected JJ cord-275814-seirbkiq 254 12 people people NNS cord-275814-seirbkiq 254 13 with with IN cord-275814-seirbkiq 254 14 pandemic pandemic NN cord-275814-seirbkiq 254 15 influenza influenza NN cord-275814-seirbkiq 254 16 at at IN cord-275814-seirbkiq 254 17 the the DT cord-275814-seirbkiq 254 18 equilibrium equilibrium NN cord-275814-seirbkiq 254 19 state state NN cord-275814-seirbkiq 254 20 . . . cord-275814-seirbkiq 255 1 We -PRON- PRP cord-275814-seirbkiq 255 2 call call VBP cord-275814-seirbkiq 255 3 a a DT cord-275814-seirbkiq 255 4 state state NN cord-275814-seirbkiq 255 5 in in IN cord-275814-seirbkiq 255 6 which which WDT cord-275814-seirbkiq 255 7 HPAI HPAI NNP cord-275814-seirbkiq 255 8 dies die VBZ cord-275814-seirbkiq 255 9 out out RP cord-275814-seirbkiq 255 10 in in IN cord-275814-seirbkiq 255 11 the the DT cord-275814-seirbkiq 255 12 population population NN cord-275814-seirbkiq 255 13 but but CC cord-275814-seirbkiq 255 14 pandemic pandemic NN cord-275814-seirbkiq 255 15 avian avian JJ cord-275814-seirbkiq 255 16 influenza influenza NN cord-275814-seirbkiq 255 17 persists persist VBZ cord-275814-seirbkiq 255 18 as as IN cord-275814-seirbkiq 255 19 the the DT cord-275814-seirbkiq 255 20 " " `` cord-275814-seirbkiq 255 21 pandemic pandemic NN cord-275814-seirbkiq 255 22 - - HYPH cord-275814-seirbkiq 255 23 only only JJ cord-275814-seirbkiq 255 24 equilibrium equilibrium NN cord-275814-seirbkiq 255 25 " " '' cord-275814-seirbkiq 255 26 and and CC cord-275814-seirbkiq 255 27 denote denote VB cord-275814-seirbkiq 255 28 it -PRON- PRP cord-275814-seirbkiq 255 29 by by IN cord-275814-seirbkiq 255 30 ðŜ ðŜ NNP cord-275814-seirbkiq 255 31 d1 d1 NN cord-275814-seirbkiq 255 32 ; ; : cord-275814-seirbkiq 255 33 0;Ŝ 0;ŝ CD cord-275814-seirbkiq 255 34 1 1 CD cord-275814-seirbkiq 255 35 ; ; : cord-275814-seirbkiq 255 36 0;P 0;p CD cord-275814-seirbkiq 255 37 1 1 CD cord-275814-seirbkiq 255 38 ; ; : cord-275814-seirbkiq 255 39 Ŝ ŝ NN cord-275814-seirbkiq 255 40 d2 d2 NN cord-275814-seirbkiq 255 41 ; ; : cord-275814-seirbkiq 255 42 0;Ŝ 0;ŝ CD cord-275814-seirbkiq 255 43 2 2 CD cord-275814-seirbkiq 255 44 ; ; : cord-275814-seirbkiq 256 1 0;P 0;p CD cord-275814-seirbkiq 256 2 2 2 CD cord-275814-seirbkiq 256 3 Þ. þ. NN cord-275814-seirbkiq 257 1 The the DT cord-275814-seirbkiq 257 2 pandemic pandemic NN cord-275814-seirbkiq 257 3 - - HYPH cord-275814-seirbkiq 257 4 only only JJ cord-275814-seirbkiq 257 5 equilibrium equilibrium NN cord-275814-seirbkiq 257 6 satisfies satisfy VBZ cord-275814-seirbkiq 257 7 the the DT cord-275814-seirbkiq 257 8 steady steady JJ cord-275814-seirbkiq 257 9 - - HYPH cord-275814-seirbkiq 257 10 state state NN cord-275814-seirbkiq 257 11 equations equation NNS cord-275814-seirbkiq 257 12 ( ( -LRB- cord-275814-seirbkiq 257 13 Eq Eq NNP cord-275814-seirbkiq 257 14 . . . cord-275814-seirbkiq 258 1 ( ( -LRB- cord-275814-seirbkiq 258 2 6 6 CD cord-275814-seirbkiq 258 3 ) ) -RRB- cord-275814-seirbkiq 258 4 ) ) -RRB- cord-275814-seirbkiq 258 5 . . . cord-275814-seirbkiq 259 1 Thus thus RB cord-275814-seirbkiq 259 2 , , , cord-275814-seirbkiq 259 3 the the DT cord-275814-seirbkiq 259 4 parametersP parametersP NNP cord-275814-seirbkiq 259 5 1 1 CD cord-275814-seirbkiq 259 6 andP andp DT cord-275814-seirbkiq 259 7 2 2 CD cord-275814-seirbkiq 259 8 satisfy satisfy VBP cord-275814-seirbkiq 259 9 the the DT cord-275814-seirbkiq 259 10 following following JJ cord-275814-seirbkiq 259 11 equations equation NNS cord-275814-seirbkiq 259 12 : : : cord-275814-seirbkiq 260 1 HereN HereN NNP cord-275814-seirbkiq 261 1 i i PRP cord-275814-seirbkiq 262 1 ¼Ŝ ¼Ŝ NNP cord-275814-seirbkiq 263 1 i i PRP cord-275814-seirbkiq 263 2 þP þp CD cord-275814-seirbkiq 264 1 i i PRP cord-275814-seirbkiq 264 2 , , , cord-275814-seirbkiq 264 3 i¼1 i¼1 NNP cord-275814-seirbkiq 264 4 , , , cord-275814-seirbkiq 264 5 2 2 CD cord-275814-seirbkiq 264 6 denotes denote VBZ cord-275814-seirbkiq 264 7 the the DT cord-275814-seirbkiq 264 8 total total JJ cord-275814-seirbkiq 264 9 population population NN cord-275814-seirbkiq 264 10 of of IN cord-275814-seirbkiq 264 11 City City NNP cord-275814-seirbkiq 264 12 i i PRP cord-275814-seirbkiq 264 13 at at IN cord-275814-seirbkiq 264 14 the the DT cord-275814-seirbkiq 264 15 pandemic pandemic NN cord-275814-seirbkiq 264 16 - - HYPH cord-275814-seirbkiq 264 17 only only JJ cord-275814-seirbkiq 264 18 equilibrium equilibrium NN cord-275814-seirbkiq 264 19 . . . cord-275814-seirbkiq 265 1 To to TO cord-275814-seirbkiq 265 2 study study VB cord-275814-seirbkiq 265 3 the the DT cord-275814-seirbkiq 265 4 effect effect NN cord-275814-seirbkiq 265 5 of of IN cord-275814-seirbkiq 265 6 the the DT cord-275814-seirbkiq 265 7 travel travel NN cord-275814-seirbkiq 265 8 parameters parameter NNS cord-275814-seirbkiq 265 9 k k NNP cord-275814-seirbkiq 265 10 1 1 CD cord-275814-seirbkiq 265 11 and and CC cord-275814-seirbkiq 265 12 k k NNP cord-275814-seirbkiq 265 13 2 2 CD cord-275814-seirbkiq 265 14 on on IN cord-275814-seirbkiq 265 15 the the DT cord-275814-seirbkiq 265 16 prevalence prevalence NN cord-275814-seirbkiq 265 17 of of IN cord-275814-seirbkiq 265 18 the the DT cord-275814-seirbkiq 265 19 pandemic pandemic NN cord-275814-seirbkiq 265 20 avian avian JJ cord-275814-seirbkiq 265 21 influenza influenza NN cord-275814-seirbkiq 265 22 , , , cord-275814-seirbkiq 265 23 we -PRON- PRP cord-275814-seirbkiq 265 24 derive derive VBP cord-275814-seirbkiq 265 25 the the DT cord-275814-seirbkiq 265 26 elasticities elasticity NNS cord-275814-seirbkiq 265 27 of of IN cord-275814-seirbkiq 265 28 pandemic pandemic JJ cord-275814-seirbkiq 265 29 prevalence prevalence NN cord-275814-seirbkiq 265 30 with with IN cord-275814-seirbkiq 265 31 respect respect NN cord-275814-seirbkiq 265 32 to to IN cord-275814-seirbkiq 265 33 the the DT cord-275814-seirbkiq 265 34 parameter parameter NN cord-275814-seirbkiq 265 35 set set VBN cord-275814-seirbkiq 265 36 p p NN cord-275814-seirbkiq 265 37 ¼ ¼ NN cord-275814-seirbkiq 265 38 ðβ ðβ NN cord-275814-seirbkiq 265 39 p p NN cord-275814-seirbkiq 265 40 ; ; : cord-275814-seirbkiq 265 41 μ μ NN cord-275814-seirbkiq 265 42 1 1 CD cord-275814-seirbkiq 265 43 ; ; : cord-275814-seirbkiq 265 44 ν ν NN cord-275814-seirbkiq 265 45 p p NN cord-275814-seirbkiq 265 46 1 1 CD cord-275814-seirbkiq 265 47 ; ; : cord-275814-seirbkiq 265 48 μ μ NN cord-275814-seirbkiq 265 49 2 2 CD cord-275814-seirbkiq 265 50 ; ; : cord-275814-seirbkiq 265 51 ν ν NN cord-275814-seirbkiq 265 52 p p NN cord-275814-seirbkiq 265 53 2 2 CD cord-275814-seirbkiq 265 54 Þ. Þ. NNP cord-275814-seirbkiq 265 55 Upon upon IN cord-275814-seirbkiq 265 56 implicitly implicitly RB cord-275814-seirbkiq 265 57 differentiating differentiate VBG cord-275814-seirbkiq 265 58 the the DT cord-275814-seirbkiq 265 59 functions function NNS cord-275814-seirbkiq 265 60 f f NNP cord-275814-seirbkiq 266 1 ðP ðp LS cord-275814-seirbkiq 266 2 1 1 CD cord-275814-seirbkiq 266 3 ; ; : cord-275814-seirbkiq 266 4 P p NN cord-275814-seirbkiq 266 5 2 2 CD cord-275814-seirbkiq 266 6 Þ þ NN cord-275814-seirbkiq 266 7 and and CC cord-275814-seirbkiq 266 8 gðP gðP NNS cord-275814-seirbkiq 266 9 1 1 CD cord-275814-seirbkiq 266 10 ; ; : cord-275814-seirbkiq 266 11 P p NN cord-275814-seirbkiq 266 12 2 2 CD cord-275814-seirbkiq 266 13 Þ þ NN cord-275814-seirbkiq 266 14 , , , cord-275814-seirbkiq 266 15 we -PRON- PRP cord-275814-seirbkiq 266 16 obtain obtain VBP cord-275814-seirbkiq 266 17 the the DT cord-275814-seirbkiq 266 18 following follow VBG cord-275814-seirbkiq 266 19 equations equation NNS cord-275814-seirbkiq 266 20 : : : cord-275814-seirbkiq 266 21 where where WRB cord-275814-seirbkiq 266 22 The the DT cord-275814-seirbkiq 266 23 preceding precede VBG cord-275814-seirbkiq 266 24 discussion discussion NN cord-275814-seirbkiq 266 25 leads lead VBZ cord-275814-seirbkiq 266 26 to to IN cord-275814-seirbkiq 266 27 the the DT cord-275814-seirbkiq 266 28 formulation formulation NN cord-275814-seirbkiq 266 29 of of IN cord-275814-seirbkiq 266 30 the the DT cord-275814-seirbkiq 266 31 following follow VBG cord-275814-seirbkiq 266 32 proposition proposition NN cord-275814-seirbkiq 266 33 . . . cord-275814-seirbkiq 267 1 Proof proof NN cord-275814-seirbkiq 267 2 . . . cord-275814-seirbkiq 268 1 At at IN cord-275814-seirbkiq 268 2 the the DT cord-275814-seirbkiq 268 3 pandemic pandemic NN cord-275814-seirbkiq 268 4 - - HYPH cord-275814-seirbkiq 268 5 only only JJ cord-275814-seirbkiq 268 6 equilibrium equilibrium NN cord-275814-seirbkiq 268 7 , , , cord-275814-seirbkiq 268 8 f f NNP cord-275814-seirbkiq 268 9 ðP ðP NNP cord-275814-seirbkiq 268 10 1 1 CD cord-275814-seirbkiq 268 11 ; ; : cord-275814-seirbkiq 268 12 P p NN cord-275814-seirbkiq 268 13 2 2 CD cord-275814-seirbkiq 269 1 Þ Þ NNP cord-275814-seirbkiq 269 2 ¼ ¼ NNP cord-275814-seirbkiq 269 3 A A NNP cord-275814-seirbkiq 269 4 1P1 1p1 CD cord-275814-seirbkiq 270 1 þ þ NNP cord-275814-seirbkiq 270 2 β β XX cord-275814-seirbkiq 270 3 pP pP NNP cord-275814-seirbkiq 271 1 2 2 CD cord-275814-seirbkiq 271 2 1 1 CD cord-275814-seirbkiq 271 3 þ þ NN cord-275814-seirbkiq 271 4 k k NN cord-275814-seirbkiq 271 5 2P2 2p2 CD cord-275814-seirbkiq 271 6 ¼ ¼ CD cord-275814-seirbkiq 271 7 0,P 0,p CD cord-275814-seirbkiq 271 8 1 1 CD cord-275814-seirbkiq 271 9 is be VBZ cord-275814-seirbkiq 271 10 strictly strictly RB cord-275814-seirbkiq 271 11 positive positive JJ cord-275814-seirbkiq 271 12 and and CC cord-275814-seirbkiq 272 1 β β NNP cord-275814-seirbkiq 272 2 pP pP NNP cord-275814-seirbkiq 273 1 2 2 CD cord-275814-seirbkiq 273 2 1 1 CD cord-275814-seirbkiq 274 1 þ þ NNP cord-275814-seirbkiq 274 2 k k NNP cord-275814-seirbkiq 274 3 2P2 2p2 CD cord-275814-seirbkiq 274 4 40 40 CD cord-275814-seirbkiq 274 5 , , , cord-275814-seirbkiq 274 6 so so RB cord-275814-seirbkiq 275 1 A a DT cord-275814-seirbkiq 275 2 1 1 CD cord-275814-seirbkiq 275 3 o0 o0 NNP cord-275814-seirbkiq 275 4 . . . cord-275814-seirbkiq 276 1 Similar similar JJ cord-275814-seirbkiq 276 2 analysis analysis NN cord-275814-seirbkiq 276 3 yields yield VBZ cord-275814-seirbkiq 276 4 A a DT cord-275814-seirbkiq 276 5 2 2 CD cord-275814-seirbkiq 276 6 o0 o0 NNP cord-275814-seirbkiq 276 7 . . . cord-275814-seirbkiq 277 1 From from IN cord-275814-seirbkiq 277 2 Eqs Eqs NNP cord-275814-seirbkiq 277 3 . . . cord-275814-seirbkiq 278 1 ( ( -LRB- cord-275814-seirbkiq 278 2 9 9 CD cord-275814-seirbkiq 278 3 ) ) -RRB- cord-275814-seirbkiq 278 4 and and CC cord-275814-seirbkiq 278 5 ( ( -LRB- cord-275814-seirbkiq 278 6 10 10 CD cord-275814-seirbkiq 278 7 ) ) -RRB- cord-275814-seirbkiq 278 8 , , , cord-275814-seirbkiq 278 9 we -PRON- PRP cord-275814-seirbkiq 278 10 obtain obtain VBP cord-275814-seirbkiq 278 11 the the DT cord-275814-seirbkiq 278 12 following following JJ cord-275814-seirbkiq 278 13 expression expression NN cord-275814-seirbkiq 278 14 : : : cord-275814-seirbkiq 278 15 which which WDT cord-275814-seirbkiq 278 16 states state VBZ cord-275814-seirbkiq 278 17 that that IN cord-275814-seirbkiq 278 18 both both DT cord-275814-seirbkiq 278 19 ðA ða VBP cord-275814-seirbkiq 278 20 1 1 CD cord-275814-seirbkiq 279 1 A a DT cord-275814-seirbkiq 279 2 2 2 CD cord-275814-seirbkiq 280 1 Àk Àk NNS cord-275814-seirbkiq 280 2 1 1 CD cord-275814-seirbkiq 280 3 k k NN cord-275814-seirbkiq 280 4 2 2 CD cord-275814-seirbkiq 280 5 Þ Þ NNP cord-275814-seirbkiq 280 6 and and CC cord-275814-seirbkiq 280 7 ∂P ∂p NN cord-275814-seirbkiq 280 8 1 1 CD cord-275814-seirbkiq 281 1 = = NFP cord-275814-seirbkiq 282 1 ∂k ∂k . cord-275814-seirbkiq 283 1 1 1 CD cord-275814-seirbkiq 283 2 are be VBP cord-275814-seirbkiq 283 3 non non JJ cord-275814-seirbkiq 283 4 - - JJ cord-275814-seirbkiq 283 5 zero zero CD cord-275814-seirbkiq 283 6 as as RB cord-275814-seirbkiq 283 7 long long RB cord-275814-seirbkiq 283 8 as as IN cord-275814-seirbkiq 283 9 A a DT cord-275814-seirbkiq 283 10 2 2 CD cord-275814-seirbkiq 283 11 B b NN cord-275814-seirbkiq 283 12 1 1 CD cord-275814-seirbkiq 284 1 ðp ðp CC cord-275814-seirbkiq 284 2 i i PRP cord-275814-seirbkiq 284 3 ÞÀk þàk VBP cord-275814-seirbkiq 284 4 2 2 CD cord-275814-seirbkiq 284 5 B b NN cord-275814-seirbkiq 284 6 2 2 CD cord-275814-seirbkiq 285 1 ðp ðp CC cord-275814-seirbkiq 285 2 i i PRP cord-275814-seirbkiq 285 3 Þ Þ NNP cord-275814-seirbkiq 285 4 is be VBZ cord-275814-seirbkiq 285 5 non non JJ cord-275814-seirbkiq 285 6 - - JJ cord-275814-seirbkiq 285 7 zero zero CD cord-275814-seirbkiq 285 8 for for IN cord-275814-seirbkiq 285 9 each each DT cord-275814-seirbkiq 285 10 parameter parameter NN cord-275814-seirbkiq 285 11 p p NN cord-275814-seirbkiq 285 12 i i PRP cord-275814-seirbkiq 285 13 . . . cord-275814-seirbkiq 286 1 From from IN cord-275814-seirbkiq 286 2 Eqs Eqs NNP cord-275814-seirbkiq 286 3 . . . cord-275814-seirbkiq 287 1 ( ( -LRB- cord-275814-seirbkiq 287 2 12 12 CD cord-275814-seirbkiq 287 3 ) ) -RRB- cord-275814-seirbkiq 287 4 through through IN cord-275814-seirbkiq 287 5 ( ( -LRB- cord-275814-seirbkiq 287 6 15 15 CD cord-275814-seirbkiq 287 7 ) ) -RRB- cord-275814-seirbkiq 287 8 , , , cord-275814-seirbkiq 287 9 it -PRON- PRP cord-275814-seirbkiq 287 10 follows follow VBZ cord-275814-seirbkiq 287 11 that that IN cord-275814-seirbkiq 287 12 A a DT cord-275814-seirbkiq 287 13 2 2 CD cord-275814-seirbkiq 287 14 B b NN cord-275814-seirbkiq 287 15 1 1 CD cord-275814-seirbkiq 288 1 ðp ðp CC cord-275814-seirbkiq 288 2 i i PRP cord-275814-seirbkiq 288 3 ÞÀ ÞÀ NNP cord-275814-seirbkiq 288 4 k k XX cord-275814-seirbkiq 288 5 2 2 CD cord-275814-seirbkiq 288 6 B b NN cord-275814-seirbkiq 288 7 2 2 CD cord-275814-seirbkiq 289 1 ðp ðp CC cord-275814-seirbkiq 289 2 i i PRP cord-275814-seirbkiq 289 3 Þ þ VBP cord-275814-seirbkiq 289 4 a a DT cord-275814-seirbkiq 289 5 0 0 CD cord-275814-seirbkiq 289 6 . . . cord-275814-seirbkiq 290 1 Moreover moreover RB cord-275814-seirbkiq 290 2 , , , cord-275814-seirbkiq 290 3 since since IN cord-275814-seirbkiq 290 4 A a DT cord-275814-seirbkiq 290 5 1 1 CD cord-275814-seirbkiq 290 6 A a DT cord-275814-seirbkiq 290 7 2 2 CD cord-275814-seirbkiq 290 8 À à NN cord-275814-seirbkiq 290 9 k k NN cord-275814-seirbkiq 290 10 1 1 CD cord-275814-seirbkiq 290 11 k k NN cord-275814-seirbkiq 290 12 2 2 CD cord-275814-seirbkiq 290 13 is be VBZ cord-275814-seirbkiq 290 14 continuous continuous JJ cord-275814-seirbkiq 290 15 in in IN cord-275814-seirbkiq 290 16 all all PDT cord-275814-seirbkiq 290 17 its -PRON- PRP$ cord-275814-seirbkiq 290 18 parameters parameter NNS cord-275814-seirbkiq 290 19 , , , cord-275814-seirbkiq 290 20 it -PRON- PRP cord-275814-seirbkiq 290 21 must must MD cord-275814-seirbkiq 290 22 have have VB cord-275814-seirbkiq 290 23 a a DT cord-275814-seirbkiq 290 24 definite definite JJ cord-275814-seirbkiq 290 25 signeither signeither NN cord-275814-seirbkiq 290 26 all all DT cord-275814-seirbkiq 290 27 positive positive JJ cord-275814-seirbkiq 290 28 or or CC cord-275814-seirbkiq 290 29 all all DT cord-275814-seirbkiq 290 30 negative negative JJ cord-275814-seirbkiq 290 31 . . . cord-275814-seirbkiq 291 1 Setting set VBG cord-275814-seirbkiq 291 2 k k NNP cord-275814-seirbkiq 291 3 1 1 CD cord-275814-seirbkiq 291 4 ¼ ¼ NNP cord-275814-seirbkiq 291 5 k k NNP cord-275814-seirbkiq 291 6 2 2 CD cord-275814-seirbkiq 291 7 ¼ ¼ CD cord-275814-seirbkiq 291 8 0 0 NFP cord-275814-seirbkiq 291 9 , , , cord-275814-seirbkiq 291 10 we -PRON- PRP cord-275814-seirbkiq 291 11 see see VBP cord-275814-seirbkiq 291 12 that that IN cord-275814-seirbkiq 291 13 A a NN cord-275814-seirbkiq 291 14 1 1 CD cord-275814-seirbkiq 291 15 A a DT cord-275814-seirbkiq 291 16 2 2 CD cord-275814-seirbkiq 291 17 40 40 CD cord-275814-seirbkiq 291 18 and and CC cord-275814-seirbkiq 291 19 , , , cord-275814-seirbkiq 291 20 thus thus RB cord-275814-seirbkiq 291 21 , , , cord-275814-seirbkiq 291 22 Upon upon IN cord-275814-seirbkiq 291 23 solving solve VBG cord-275814-seirbkiq 291 24 Eqs Eqs NNP cord-275814-seirbkiq 291 25 . . . cord-275814-seirbkiq 292 1 ( ( -LRB- cord-275814-seirbkiq 292 2 9 9 CD cord-275814-seirbkiq 292 3 ) ) -RRB- cord-275814-seirbkiq 292 4 and and CC cord-275814-seirbkiq 292 5 ( ( -LRB- cord-275814-seirbkiq 292 6 10 10 CD cord-275814-seirbkiq 292 7 ) ) -RRB- cord-275814-seirbkiq 292 8 , , , cord-275814-seirbkiq 292 9 we -PRON- PRP cord-275814-seirbkiq 292 10 obtain obtain VBP cord-275814-seirbkiq 292 11 the the DT cord-275814-seirbkiq 292 12 following follow VBG cord-275814-seirbkiq 292 13 analytic analytic JJ cord-275814-seirbkiq 292 14 expressions expression NNS cord-275814-seirbkiq 292 15 for for IN cord-275814-seirbkiq 292 16 the the DT cord-275814-seirbkiq 292 17 elasticities elasticity NNS cord-275814-seirbkiq 292 18 of of IN cord-275814-seirbkiq 292 19 pandemic pandemic JJ cord-275814-seirbkiq 292 20 prevalence prevalence NN cord-275814-seirbkiq 292 21 : : : cord-275814-seirbkiq 292 22 From from IN cord-275814-seirbkiq 292 23 these these DT cord-275814-seirbkiq 292 24 analytic analytic JJ cord-275814-seirbkiq 292 25 expressions expression NNS cord-275814-seirbkiq 292 26 , , , cord-275814-seirbkiq 292 27 it -PRON- PRP cord-275814-seirbkiq 292 28 is be VBZ cord-275814-seirbkiq 292 29 clear clear JJ cord-275814-seirbkiq 292 30 that that IN cord-275814-seirbkiq 292 31 the the DT cord-275814-seirbkiq 292 32 only only JJ cord-275814-seirbkiq 292 33 positive positive JJ cord-275814-seirbkiq 292 34 elasticity elasticity NN cord-275814-seirbkiq 292 35 is be VBZ cord-275814-seirbkiq 292 36 for for IN cord-275814-seirbkiq 292 37 the the DT cord-275814-seirbkiq 292 38 transmission transmission NN cord-275814-seirbkiq 292 39 rate rate NN cord-275814-seirbkiq 292 40 of of IN cord-275814-seirbkiq 292 41 pandemic pandemic NN cord-275814-seirbkiq 292 42 avian avian JJ cord-275814-seirbkiq 292 43 influenza influenza NN cord-275814-seirbkiq 292 44 . . . cord-275814-seirbkiq 293 1 The the DT cord-275814-seirbkiq 293 2 elasticities elasticity NNS cord-275814-seirbkiq 293 3 of of IN cord-275814-seirbkiq 293 4 pandemic pandemic JJ cord-275814-seirbkiq 293 5 prevalence prevalence NN cord-275814-seirbkiq 293 6 with with IN cord-275814-seirbkiq 293 7 respect respect NN cord-275814-seirbkiq 293 8 to to IN cord-275814-seirbkiq 293 9 parameters parameter NNS cord-275814-seirbkiq 293 10 μ μ NN cord-275814-seirbkiq 293 11 1 1 CD cord-275814-seirbkiq 293 12 , , , cord-275814-seirbkiq 293 13 μ μ NN cord-275814-seirbkiq 293 14 2 2 CD cord-275814-seirbkiq 293 15 , , , cord-275814-seirbkiq 293 16 ν ν NNP cord-275814-seirbkiq 293 17 p p NN cord-275814-seirbkiq 293 18 1 1 CD cord-275814-seirbkiq 293 19 , , , cord-275814-seirbkiq 293 20 ν ν NN cord-275814-seirbkiq 293 21 p p NN cord-275814-seirbkiq 293 22 2 2 CD cord-275814-seirbkiq 293 23 are be VBP cord-275814-seirbkiq 293 24 all all DT cord-275814-seirbkiq 293 25 negative negative JJ cord-275814-seirbkiq 293 26 . . . cord-275814-seirbkiq 294 1 These these DT cord-275814-seirbkiq 294 2 results result NNS cord-275814-seirbkiq 294 3 suggest suggest VBP cord-275814-seirbkiq 294 4 that that IN cord-275814-seirbkiq 294 5 control control NN cord-275814-seirbkiq 294 6 measures measure NNS cord-275814-seirbkiq 294 7 that that WDT cord-275814-seirbkiq 294 8 decrease decrease VBP cord-275814-seirbkiq 294 9 the the DT cord-275814-seirbkiq 294 10 transmission transmission NN cord-275814-seirbkiq 294 11 rate rate NN cord-275814-seirbkiq 294 12 and and CC cord-275814-seirbkiq 294 13 infectious infectious JJ cord-275814-seirbkiq 294 14 period period NN cord-275814-seirbkiq 294 15 of of IN cord-275814-seirbkiq 294 16 pandemic pandemic NN cord-275814-seirbkiq 294 17 avian avian JJ cord-275814-seirbkiq 294 18 influenza influenza NN cord-275814-seirbkiq 294 19 should should MD cord-275814-seirbkiq 294 20 be be VB cord-275814-seirbkiq 294 21 applied apply VBN cord-275814-seirbkiq 294 22 . . . cord-275814-seirbkiq 295 1 Examples example NNS cord-275814-seirbkiq 295 2 of of IN cord-275814-seirbkiq 295 3 control control NN cord-275814-seirbkiq 295 4 measures measure NNS cord-275814-seirbkiq 295 5 that that WDT cord-275814-seirbkiq 295 6 might may MD cord-275814-seirbkiq 295 7 be be VB cord-275814-seirbkiq 295 8 applied apply VBN cord-275814-seirbkiq 295 9 to to TO cord-275814-seirbkiq 295 10 stop stop VB cord-275814-seirbkiq 295 11 or or CC cord-275814-seirbkiq 295 12 limit limit VB cord-275814-seirbkiq 295 13 the the DT cord-275814-seirbkiq 295 14 spread spread NN cord-275814-seirbkiq 295 15 of of IN cord-275814-seirbkiq 295 16 pandemic pandemic NN cord-275814-seirbkiq 295 17 influenza influenza NN cord-275814-seirbkiq 295 18 are be VBP cord-275814-seirbkiq 295 19 isolating isolate VBG cord-275814-seirbkiq 295 20 infected infected JJ cord-275814-seirbkiq 295 21 individuals individual NNS cord-275814-seirbkiq 295 22 , , , cord-275814-seirbkiq 295 23 quarantining quarantine VBG cord-275814-seirbkiq 295 24 susceptible susceptible JJ cord-275814-seirbkiq 295 25 individuals individual NNS cord-275814-seirbkiq 295 26 who who WP cord-275814-seirbkiq 295 27 are be VBP cord-275814-seirbkiq 295 28 exposed expose VBN cord-275814-seirbkiq 295 29 to to IN cord-275814-seirbkiq 295 30 the the DT cord-275814-seirbkiq 295 31 virus virus NN cord-275814-seirbkiq 295 32 and and CC cord-275814-seirbkiq 295 33 vaccinating vaccinate VBG cord-275814-seirbkiq 295 34 individuals individual NNS cord-275814-seirbkiq 295 35 against against IN cord-275814-seirbkiq 295 36 the the DT cord-275814-seirbkiq 295 37 pandemic pandemic NN cord-275814-seirbkiq 295 38 strain strain NN cord-275814-seirbkiq 295 39 . . . cord-275814-seirbkiq 296 1 These these DT cord-275814-seirbkiq 296 2 measures measure NNS cord-275814-seirbkiq 296 3 impact impact VBP cord-275814-seirbkiq 296 4 different different JJ cord-275814-seirbkiq 296 5 parameters parameter NNS cord-275814-seirbkiq 296 6 in in IN cord-275814-seirbkiq 296 7 Eq Eq NNP cord-275814-seirbkiq 296 8 . . . cord-275814-seirbkiq 297 1 ( ( -LRB- cord-275814-seirbkiq 297 2 2 2 LS cord-275814-seirbkiq 297 3 ) ) -RRB- cord-275814-seirbkiq 297 4 . . . cord-275814-seirbkiq 298 1 For for IN cord-275814-seirbkiq 298 2 example example NN cord-275814-seirbkiq 298 3 , , , cord-275814-seirbkiq 298 4 isolation isolation NN cord-275814-seirbkiq 298 5 and and CC cord-275814-seirbkiq 298 6 quarantine quarantine NN cord-275814-seirbkiq 298 7 affect affect VBP cord-275814-seirbkiq 298 8 the the DT cord-275814-seirbkiq 298 9 transmission transmission NN cord-275814-seirbkiq 298 10 rate rate NN cord-275814-seirbkiq 298 11 β β NN cord-275814-seirbkiq 298 12 p p NN cord-275814-seirbkiq 298 13 while while IN cord-275814-seirbkiq 298 14 vaccination vaccination NN cord-275814-seirbkiq 298 15 reduces reduce VBZ cord-275814-seirbkiq 298 16 the the DT cord-275814-seirbkiq 298 17 susceptibility susceptibility NN cord-275814-seirbkiq 298 18 of of IN cord-275814-seirbkiq 298 19 healthy healthy JJ cord-275814-seirbkiq 298 20 individuals individual NNS cord-275814-seirbkiq 298 21 ( ( -LRB- cord-275814-seirbkiq 298 22 thus thus RB cord-275814-seirbkiq 298 23 reducing reduce VBG cord-275814-seirbkiq 298 24 β β NN cord-275814-seirbkiq 298 25 p p NN cord-275814-seirbkiq 298 26 ) ) -RRB- cord-275814-seirbkiq 298 27 and and CC cord-275814-seirbkiq 298 28 might may MD cord-275814-seirbkiq 298 29 also also RB cord-275814-seirbkiq 298 30 decrease decrease VB cord-275814-seirbkiq 298 31 the the DT cord-275814-seirbkiq 298 32 infectious infectious JJ cord-275814-seirbkiq 298 33 period period NN cord-275814-seirbkiq 298 34 ( ( -LRB- cord-275814-seirbkiq 298 35 thus thus RB cord-275814-seirbkiq 298 36 increasing increase VBG cord-275814-seirbkiq 298 37 ν ν NNP cord-275814-seirbkiq 298 38 p p NN cord-275814-seirbkiq 298 39 ) ) -RRB- cord-275814-seirbkiq 298 40 . . . cord-275814-seirbkiq 299 1 Evaluating evaluate VBG cord-275814-seirbkiq 299 2 the the DT cord-275814-seirbkiq 299 3 efficacy efficacy NN cord-275814-seirbkiq 299 4 of of IN cord-275814-seirbkiq 299 5 control control NN cord-275814-seirbkiq 299 6 measures measure NNS cord-275814-seirbkiq 299 7 is be VBZ cord-275814-seirbkiq 299 8 a a DT cord-275814-seirbkiq 299 9 non non JJ cord-275814-seirbkiq 299 10 - - JJ cord-275814-seirbkiq 299 11 trivial trivial JJ cord-275814-seirbkiq 299 12 task task NN cord-275814-seirbkiq 299 13 for for IN cord-275814-seirbkiq 299 14 an an DT cord-275814-seirbkiq 299 15 actual actual JJ cord-275814-seirbkiq 299 16 infection infection NN cord-275814-seirbkiq 299 17 , , , cord-275814-seirbkiq 299 18 let let VB cord-275814-seirbkiq 299 19 alone alone RB cord-275814-seirbkiq 299 20 for for IN cord-275814-seirbkiq 299 21 a a DT cord-275814-seirbkiq 299 22 hypothetical hypothetical JJ cord-275814-seirbkiq 299 23 pandemic pandemic NN cord-275814-seirbkiq 299 24 avian avian JJ cord-275814-seirbkiq 299 25 influenza influenza NN cord-275814-seirbkiq 299 26 outbreak outbreak NN cord-275814-seirbkiq 299 27 . . . cord-275814-seirbkiq 300 1 Nevertheless nevertheless RB cord-275814-seirbkiq 300 2 , , , cord-275814-seirbkiq 300 3 we -PRON- PRP cord-275814-seirbkiq 300 4 compute compute VBP cord-275814-seirbkiq 300 5 the the DT cord-275814-seirbkiq 300 6 elasticities elasticity NNS cord-275814-seirbkiq 300 7 of of IN cord-275814-seirbkiq 300 8 the the DT cord-275814-seirbkiq 300 9 pandemic pandemic NN cord-275814-seirbkiq 300 10 prevalence prevalence NN cord-275814-seirbkiq 300 11 numerically numerically RB cord-275814-seirbkiq 300 12 in in IN cord-275814-seirbkiq 300 13 order order NN cord-275814-seirbkiq 300 14 to to TO cord-275814-seirbkiq 300 15 elucidate elucidate VB cord-275814-seirbkiq 300 16 the the DT cord-275814-seirbkiq 300 17 efficacy efficacy NN cord-275814-seirbkiq 300 18 of of IN cord-275814-seirbkiq 300 19 control control NN cord-275814-seirbkiq 300 20 measures measure NNS cord-275814-seirbkiq 300 21 . . . cord-275814-seirbkiq 301 1 First first RB cord-275814-seirbkiq 301 2 , , , cord-275814-seirbkiq 301 3 we -PRON- PRP cord-275814-seirbkiq 301 4 compute compute VBP cord-275814-seirbkiq 301 5 the the DT cord-275814-seirbkiq 301 6 number number NN cord-275814-seirbkiq 301 7 of of IN cord-275814-seirbkiq 301 8 infected infected JJ cord-275814-seirbkiq 301 9 individuals individual NNS cord-275814-seirbkiq 301 10 with with IN cord-275814-seirbkiq 301 11 pandemic pandemic NN cord-275814-seirbkiq 301 12 avian avian JJ cord-275814-seirbkiq 301 13 influenza influenza NN cord-275814-seirbkiq 301 14 at at IN cord-275814-seirbkiq 301 15 the the DT cord-275814-seirbkiq 301 16 pandemic pandemic NN cord-275814-seirbkiq 301 17 - - HYPH cord-275814-seirbkiq 301 18 only only JJ cord-275814-seirbkiq 301 19 equilibrium equilibrium NN cord-275814-seirbkiq 301 20 ðP ðp CD cord-275814-seirbkiq 301 21 1 1 CD cord-275814-seirbkiq 301 22 ; ; : cord-275814-seirbkiq 301 23 P p NN cord-275814-seirbkiq 301 24 2 2 CD cord-275814-seirbkiq 301 25 Þ þ NN cord-275814-seirbkiq 301 26 with with IN cord-275814-seirbkiq 301 27 k k NN cord-275814-seirbkiq 301 28 1 1 CD cord-275814-seirbkiq 302 1 and and CC cord-275814-seirbkiq 302 2 k k NN cord-275814-seirbkiq 302 3 2 2 CD cord-275814-seirbkiq 302 4 varying vary VBG cord-275814-seirbkiq 302 5 from from IN cord-275814-seirbkiq 302 6 0 0 CD cord-275814-seirbkiq 302 7 to to IN cord-275814-seirbkiq 302 8 1 1 CD cord-275814-seirbkiq 302 9 . . . cord-275814-seirbkiq 303 1 In in IN cord-275814-seirbkiq 303 2 the the DT cord-275814-seirbkiq 303 3 simulations simulation NNS cord-275814-seirbkiq 303 4 , , , cord-275814-seirbkiq 303 5 City City NNP cord-275814-seirbkiq 303 6 1 1 CD cord-275814-seirbkiq 303 7 is be VBZ cord-275814-seirbkiq 303 8 the the DT cord-275814-seirbkiq 303 9 origin origin NN cord-275814-seirbkiq 303 10 of of IN cord-275814-seirbkiq 303 11 pandemic pandemic NN cord-275814-seirbkiq 303 12 influenza influenza NN cord-275814-seirbkiq 303 13 and and CC cord-275814-seirbkiq 303 14 City City NNP cord-275814-seirbkiq 303 15 2 2 CD cord-275814-seirbkiq 303 16 is be VBZ cord-275814-seirbkiq 303 17 the the DT cord-275814-seirbkiq 303 18 destination destination NN cord-275814-seirbkiq 303 19 city city NN cord-275814-seirbkiq 303 20 . . . cord-275814-seirbkiq 304 1 Then then RB cord-275814-seirbkiq 304 2 , , , cord-275814-seirbkiq 304 3 the the DT cord-275814-seirbkiq 304 4 elasticities elasticity NNS cord-275814-seirbkiq 304 5 of of IN cord-275814-seirbkiq 304 6 pandemic pandemic NN cord-275814-seirbkiq 304 7 prevalence prevalence NN cord-275814-seirbkiq 304 8 are be VBP cord-275814-seirbkiq 304 9 plotted plot VBN cord-275814-seirbkiq 304 10 as as IN cord-275814-seirbkiq 304 11 functions function NNS cord-275814-seirbkiq 304 12 of of IN cord-275814-seirbkiq 304 13 k k NN cord-275814-seirbkiq 304 14 1 1 CD cord-275814-seirbkiq 305 1 and and CC cord-275814-seirbkiq 305 2 k k NNP cord-275814-seirbkiq 305 3 2 2 CD cord-275814-seirbkiq 305 4 . . . cord-275814-seirbkiq 306 1 To to TO cord-275814-seirbkiq 306 2 further further RB cord-275814-seirbkiq 306 3 visualize visualize VB cord-275814-seirbkiq 306 4 the the DT cord-275814-seirbkiq 306 5 effects effect NNS cord-275814-seirbkiq 306 6 of of IN cord-275814-seirbkiq 306 7 the the DT cord-275814-seirbkiq 306 8 air air NN cord-275814-seirbkiq 306 9 travel travel NN cord-275814-seirbkiq 306 10 , , , cord-275814-seirbkiq 306 11 for for IN cord-275814-seirbkiq 306 12 a a DT cord-275814-seirbkiq 306 13 fixed fix VBN cord-275814-seirbkiq 306 14 k k NN cord-275814-seirbkiq 306 15 1 1 CD cord-275814-seirbkiq 306 16 value value NN cord-275814-seirbkiq 306 17 , , , cord-275814-seirbkiq 306 18 the the DT cord-275814-seirbkiq 306 19 elasticities elasticity NNS cord-275814-seirbkiq 306 20 are be VBP cord-275814-seirbkiq 306 21 plotted plot VBN cord-275814-seirbkiq 306 22 for for IN cord-275814-seirbkiq 306 23 varying vary VBG cord-275814-seirbkiq 306 24 k k NN cord-275814-seirbkiq 306 25 2 2 CD cord-275814-seirbkiq 306 26 values value NNS cord-275814-seirbkiq 306 27 , , , cord-275814-seirbkiq 306 28 and and CC cord-275814-seirbkiq 306 29 vice vice NN cord-275814-seirbkiq 306 30 versa versa RB cord-275814-seirbkiq 306 31 . . . cord-275814-seirbkiq 307 1 The the DT cord-275814-seirbkiq 307 2 simulation simulation NN cord-275814-seirbkiq 307 3 results result NNS cord-275814-seirbkiq 307 4 show show VBP cord-275814-seirbkiq 307 5 that that IN cord-275814-seirbkiq 307 6 , , , cord-275814-seirbkiq 307 7 although although IN cord-275814-seirbkiq 307 8 the the DT cord-275814-seirbkiq 307 9 analytic analytic JJ cord-275814-seirbkiq 307 10 expressions expression NNS cord-275814-seirbkiq 307 11 for for IN cord-275814-seirbkiq 307 12 EP EP NNP cord-275814-seirbkiq 307 13 1 1 CD cord-275814-seirbkiq 307 14 β β NN cord-275814-seirbkiq 307 15 p p NN cord-275814-seirbkiq 307 16 and and CC cord-275814-seirbkiq 307 17 EP EP NNP cord-275814-seirbkiq 307 18 2 2 CD cord-275814-seirbkiq 308 1 β β NN cord-275814-seirbkiq 308 2 p p NN cord-275814-seirbkiq 308 3 are be VBP cord-275814-seirbkiq 308 4 symmetric symmetric JJ cord-275814-seirbkiq 308 5 , , , cord-275814-seirbkiq 308 6 the the DT cord-275814-seirbkiq 308 7 effects effect NNS cord-275814-seirbkiq 308 8 of of IN cord-275814-seirbkiq 308 9 air air NN cord-275814-seirbkiq 308 10 travel travel NN cord-275814-seirbkiq 308 11 on on IN cord-275814-seirbkiq 308 12 the the DT cord-275814-seirbkiq 308 13 elasticities elasticity NNS cord-275814-seirbkiq 308 14 differ differ VBP cord-275814-seirbkiq 308 15 for for IN cord-275814-seirbkiq 308 16 the the DT cord-275814-seirbkiq 308 17 origin origin NN cord-275814-seirbkiq 308 18 city city NN cord-275814-seirbkiq 308 19 and and CC cord-275814-seirbkiq 308 20 destination destination NN cord-275814-seirbkiq 308 21 city city NN cord-275814-seirbkiq 308 22 ( ( -LRB- cord-275814-seirbkiq 308 23 see see VB cord-275814-seirbkiq 308 24 Figs fig NNS cord-275814-seirbkiq 308 25 . . . cord-275814-seirbkiq 309 1 16(a 16(a LS cord-275814-seirbkiq 309 2 ) ) -RRB- cord-275814-seirbkiq 309 3 and and CC cord-275814-seirbkiq 309 4 17(a 17(a CD cord-275814-seirbkiq 309 5 ) ) -RRB- cord-275814-seirbkiq 309 6 ) ) -RRB- cord-275814-seirbkiq 309 7 . . . cord-275814-seirbkiq 310 1 The the DT cord-275814-seirbkiq 310 2 simulation simulation NN cord-275814-seirbkiq 310 3 results result VBZ cord-275814-seirbkiq 310 4 in in IN cord-275814-seirbkiq 310 5 Fig Fig NNP cord-275814-seirbkiq 310 6 . . . cord-275814-seirbkiq 311 1 16 16 CD cord-275814-seirbkiq 311 2 demonstrate demonstrate VBP cord-275814-seirbkiq 311 3 that that IN cord-275814-seirbkiq 311 4 isolating isolate VBG cord-275814-seirbkiq 311 5 and and CC cord-275814-seirbkiq 311 6 quarantining quarantine VBG cord-275814-seirbkiq 311 7 individuals individual NNS cord-275814-seirbkiq 311 8 from from IN cord-275814-seirbkiq 311 9 the the DT cord-275814-seirbkiq 311 10 origin origin NN cord-275814-seirbkiq 311 11 city city NN cord-275814-seirbkiq 311 12 is be VBZ cord-275814-seirbkiq 311 13 appropriate appropriate JJ cord-275814-seirbkiq 311 14 when when WRB cord-275814-seirbkiq 311 15 the the DT cord-275814-seirbkiq 311 16 travel travel NN cord-275814-seirbkiq 311 17 rate rate NN cord-275814-seirbkiq 311 18 out out IN cord-275814-seirbkiq 311 19 of of IN cord-275814-seirbkiq 311 20 the the DT cord-275814-seirbkiq 311 21 city city NN cord-275814-seirbkiq 311 22 is be VBZ cord-275814-seirbkiq 311 23 very very RB cord-275814-seirbkiq 311 24 small small JJ cord-275814-seirbkiq 312 1 ( ( -LRB- cord-275814-seirbkiq 312 2 i.e. i.e. FW cord-275814-seirbkiq 312 3 , , , cord-275814-seirbkiq 312 4 when when WRB cord-275814-seirbkiq 312 5 k k NNP cord-275814-seirbkiq 312 6 1 1 CD cord-275814-seirbkiq 312 7 is be VBZ cord-275814-seirbkiq 312 8 small small JJ cord-275814-seirbkiq 312 9 ) ) -RRB- cord-275814-seirbkiq 312 10 . . . cord-275814-seirbkiq 313 1 When when WRB cord-275814-seirbkiq 313 2 k k NNP cord-275814-seirbkiq 313 3 1 1 CD cord-275814-seirbkiq 313 4 is be VBZ cord-275814-seirbkiq 313 5 large large JJ cord-275814-seirbkiq 313 6 ( ( -LRB- cord-275814-seirbkiq 313 7 e.g. e.g. RB cord-275814-seirbkiq 313 8 , , , cord-275814-seirbkiq 313 9 k k NN cord-275814-seirbkiq 313 10 1 1 CD cord-275814-seirbkiq 313 11 40:2 40:2 CD cord-275814-seirbkiq 313 12 in in IN cord-275814-seirbkiq 313 13 Fig Fig NNP cord-275814-seirbkiq 313 14 . . . cord-275814-seirbkiq 313 15 16(a 16(a CD cord-275814-seirbkiq 313 16 ) ) -RRB- cord-275814-seirbkiq 313 17 ) ) -RRB- cord-275814-seirbkiq 313 18 , , , cord-275814-seirbkiq 313 19 applying apply VBG cord-275814-seirbkiq 313 20 control control NN cord-275814-seirbkiq 313 21 measures measure NNS cord-275814-seirbkiq 313 22 aimed aim VBN cord-275814-seirbkiq 313 23 at at IN cord-275814-seirbkiq 313 24 decreasing decrease VBG cord-275814-seirbkiq 313 25 the the DT cord-275814-seirbkiq 313 26 transmission transmission NN cord-275814-seirbkiq 313 27 rate rate NN cord-275814-seirbkiq 313 28 of of IN cord-275814-seirbkiq 313 29 the the DT cord-275814-seirbkiq 313 30 pandemic pandemic NN cord-275814-seirbkiq 313 31 influenza influenza NN cord-275814-seirbkiq 313 32 will will MD cord-275814-seirbkiq 313 33 not not RB cord-275814-seirbkiq 313 34 decrease decrease VB cord-275814-seirbkiq 313 35 the the DT cord-275814-seirbkiq 313 36 prevalence prevalence NN cord-275814-seirbkiq 313 37 of of IN cord-275814-seirbkiq 313 38 infected infected JJ cord-275814-seirbkiq 313 39 individuals individual NNS cord-275814-seirbkiq 313 40 , , , cord-275814-seirbkiq 313 41 potentially potentially RB cord-275814-seirbkiq 313 42 leading lead VBG cord-275814-seirbkiq 313 43 to to IN cord-275814-seirbkiq 313 44 wasted waste VBN cord-275814-seirbkiq 313 45 resources resource NNS cord-275814-seirbkiq 313 46 . . . cord-275814-seirbkiq 314 1 On on IN cord-275814-seirbkiq 314 2 the the DT cord-275814-seirbkiq 314 3 other other JJ cord-275814-seirbkiq 314 4 hand hand NN cord-275814-seirbkiq 314 5 , , , cord-275814-seirbkiq 314 6 in in IN cord-275814-seirbkiq 314 7 the the DT cord-275814-seirbkiq 314 8 destination destination NN cord-275814-seirbkiq 314 9 city city NN cord-275814-seirbkiq 314 10 , , , cord-275814-seirbkiq 314 11 much much JJ cord-275814-seirbkiq 314 12 is be VBZ cord-275814-seirbkiq 314 13 gained gain VBN cord-275814-seirbkiq 314 14 from from IN cord-275814-seirbkiq 314 15 isolation isolation NN cord-275814-seirbkiq 314 16 and and CC cord-275814-seirbkiq 314 17 quarantine quarantine NN cord-275814-seirbkiq 314 18 measures measure NNS cord-275814-seirbkiq 314 19 when when WRB cord-275814-seirbkiq 314 20 k k NNP cord-275814-seirbkiq 314 21 2 2 CD cord-275814-seirbkiq 314 22 is be VBZ cord-275814-seirbkiq 314 23 very very RB cord-275814-seirbkiq 314 24 small small JJ cord-275814-seirbkiq 314 25 . . . cord-275814-seirbkiq 315 1 During during IN cord-275814-seirbkiq 315 2 a a DT cord-275814-seirbkiq 315 3 pandemic pandemic NN cord-275814-seirbkiq 315 4 , , , cord-275814-seirbkiq 315 5 government government NN cord-275814-seirbkiq 315 6 agencies agency NNS cord-275814-seirbkiq 315 7 in in IN cord-275814-seirbkiq 315 8 the the DT cord-275814-seirbkiq 315 9 destination destination NN cord-275814-seirbkiq 315 10 city city NN cord-275814-seirbkiq 315 11 should should MD cord-275814-seirbkiq 315 12 consider consider VB cord-275814-seirbkiq 315 13 implementing implement VBG cord-275814-seirbkiq 315 14 disease disease NN cord-275814-seirbkiq 315 15 control control NN cord-275814-seirbkiq 315 16 measures measure NNS cord-275814-seirbkiq 315 17 along along IN cord-275814-seirbkiq 315 18 with with IN cord-275814-seirbkiq 315 19 restricting restrict VBG cord-275814-seirbkiq 315 20 travel travel NN cord-275814-seirbkiq 315 21 ( ( -LRB- cord-275814-seirbkiq 315 22 see see VB cord-275814-seirbkiq 315 23 Fig Fig NNP cord-275814-seirbkiq 315 24 . . . cord-275814-seirbkiq 315 25 17 17 CD cord-275814-seirbkiq 315 26 ) ) -RRB- cord-275814-seirbkiq 315 27 . . . cord-275814-seirbkiq 316 1 Next next RB cord-275814-seirbkiq 316 2 , , , cord-275814-seirbkiq 316 3 we -PRON- PRP cord-275814-seirbkiq 316 4 consider consider VBP cord-275814-seirbkiq 316 5 the the DT cord-275814-seirbkiq 316 6 elasticities elasticity NNS cord-275814-seirbkiq 316 7 of of IN cord-275814-seirbkiq 316 8 pandemic pandemic JJ cord-275814-seirbkiq 316 9 prevalence prevalence NN cord-275814-seirbkiq 316 10 with with IN cord-275814-seirbkiq 316 11 respect respect NN cord-275814-seirbkiq 316 12 to to IN cord-275814-seirbkiq 316 13 the the DT cord-275814-seirbkiq 316 14 disease disease NN cord-275814-seirbkiq 316 15 - - HYPH cord-275814-seirbkiq 316 16 induced induce VBN cord-275814-seirbkiq 316 17 death death NN cord-275814-seirbkiq 316 18 rates rate NNS cord-275814-seirbkiq 316 19 for for IN cord-275814-seirbkiq 316 20 each each DT cord-275814-seirbkiq 316 21 city city NN cord-275814-seirbkiq 316 22 . . . cord-275814-seirbkiq 317 1 Since since IN cord-275814-seirbkiq 317 2 the the DT cord-275814-seirbkiq 317 3 elasticities elasticity NNS cord-275814-seirbkiq 317 4 are be VBP cord-275814-seirbkiq 317 5 symmetric symmetric JJ cord-275814-seirbkiq 317 6 , , , cord-275814-seirbkiq 317 7 we -PRON- PRP cord-275814-seirbkiq 317 8 only only RB cord-275814-seirbkiq 317 9 show show VBP cord-275814-seirbkiq 317 10 the the DT cord-275814-seirbkiq 317 11 results result NNS cord-275814-seirbkiq 317 12 for for IN cord-275814-seirbkiq 317 13 origin origin NN cord-275814-seirbkiq 317 14 cities city NNS cord-275814-seirbkiq 317 15 . . . cord-275814-seirbkiq 318 1 The the DT cord-275814-seirbkiq 318 2 simulation simulation NN cord-275814-seirbkiq 318 3 results result VBZ cord-275814-seirbkiq 318 4 in in IN cord-275814-seirbkiq 318 5 Fig Fig NNP cord-275814-seirbkiq 318 6 . . . cord-275814-seirbkiq 319 1 18 18 CD cord-275814-seirbkiq 319 2 suggest suggest VBP cord-275814-seirbkiq 319 3 that that IN cord-275814-seirbkiq 319 4 vaccination vaccination NN cord-275814-seirbkiq 319 5 of of IN cord-275814-seirbkiq 319 6 individuals individual NNS cord-275814-seirbkiq 319 7 in in IN cord-275814-seirbkiq 319 8 the the DT cord-275814-seirbkiq 319 9 origin origin NN cord-275814-seirbkiq 319 10 city city NN cord-275814-seirbkiq 319 11 should should MD cord-275814-seirbkiq 319 12 be be VB cord-275814-seirbkiq 319 13 considered consider VBN cord-275814-seirbkiq 319 14 when when WRB cord-275814-seirbkiq 319 15 the the DT cord-275814-seirbkiq 319 16 outbound outbound JJ cord-275814-seirbkiq 319 17 travel travel NN cord-275814-seirbkiq 319 18 rate rate NN cord-275814-seirbkiq 319 19 is be VBZ cord-275814-seirbkiq 319 20 very very RB cord-275814-seirbkiq 319 21 small small JJ cord-275814-seirbkiq 319 22 and and CC cord-275814-seirbkiq 319 23 the the DT cord-275814-seirbkiq 319 24 inbound inbound JJ cord-275814-seirbkiq 319 25 travel travel NN cord-275814-seirbkiq 319 26 rate rate NN cord-275814-seirbkiq 319 27 is be VBZ cord-275814-seirbkiq 319 28 very very RB cord-275814-seirbkiq 319 29 high high JJ cord-275814-seirbkiq 319 30 . . . cord-275814-seirbkiq 320 1 Vaccinations vaccination NNS cord-275814-seirbkiq 320 2 in in IN cord-275814-seirbkiq 320 3 the the DT cord-275814-seirbkiq 320 4 destination destination NN cord-275814-seirbkiq 320 5 city city NN cord-275814-seirbkiq 320 6 decrease decrease VBP cord-275814-seirbkiq 320 7 the the DT cord-275814-seirbkiq 320 8 pandemic pandemic JJ cord-275814-seirbkiq 320 9 prevalence prevalence NN cord-275814-seirbkiq 320 10 in in IN cord-275814-seirbkiq 320 11 the the DT cord-275814-seirbkiq 320 12 origin origin NN cord-275814-seirbkiq 320 13 city city NN cord-275814-seirbkiq 320 14 only only RB cord-275814-seirbkiq 320 15 when when WRB cord-275814-seirbkiq 320 16 the the DT cord-275814-seirbkiq 320 17 travel travel NN cord-275814-seirbkiq 320 18 rate rate NN cord-275814-seirbkiq 320 19 into into IN cord-275814-seirbkiq 320 20 the the DT cord-275814-seirbkiq 320 21 origin origin NN cord-275814-seirbkiq 320 22 city city NN cord-275814-seirbkiq 320 23 is be VBZ cord-275814-seirbkiq 320 24 very very RB cord-275814-seirbkiq 320 25 high high JJ cord-275814-seirbkiq 320 26 ( ( -LRB- cord-275814-seirbkiq 320 27 see see VB cord-275814-seirbkiq 320 28 Fig Fig NNP cord-275814-seirbkiq 320 29 . . . cord-275814-seirbkiq 320 30 19 19 CD cord-275814-seirbkiq 320 31 ) ) -RRB- cord-275814-seirbkiq 320 32 . . . cord-275814-seirbkiq 320 33 _SP cord-275814-seirbkiq 321 1 Effects effect NNS cord-275814-seirbkiq 321 2 of of IN cord-275814-seirbkiq 321 3 air air NN cord-275814-seirbkiq 321 4 travel travel NN cord-275814-seirbkiq 321 5 on on IN cord-275814-seirbkiq 321 6 R r NN cord-275814-seirbkiq 321 7 0 0 CD cord-275814-seirbkiq 322 1 We -PRON- PRP cord-275814-seirbkiq 322 2 computed compute VBD cord-275814-seirbkiq 322 3 the the DT cord-275814-seirbkiq 322 4 basic basic JJ cord-275814-seirbkiq 322 5 reproduction reproduction NN cord-275814-seirbkiq 322 6 numbers number NNS cord-275814-seirbkiq 322 7 for for IN cord-275814-seirbkiq 322 8 each each DT cord-275814-seirbkiq 322 9 origin origin NN cord-275814-seirbkiq 322 10 city city NN cord-275814-seirbkiq 322 11 and and CC cord-275814-seirbkiq 322 12 destination destination NN cord-275814-seirbkiq 322 13 city city NN cord-275814-seirbkiq 322 14 , , , cord-275814-seirbkiq 322 15 R r NN cord-275814-seirbkiq 322 16 1 1 CD cord-275814-seirbkiq 322 17 0 0 CD cord-275814-seirbkiq 322 18 andR andr CD cord-275814-seirbkiq 322 19 2 2 CD cord-275814-seirbkiq 322 20 0 0 CD cord-275814-seirbkiq 322 21 , , , cord-275814-seirbkiq 322 22 using use VBG cord-275814-seirbkiq 322 23 the the DT cord-275814-seirbkiq 322 24 parameters parameter NNS cord-275814-seirbkiq 322 25 described describe VBN cord-275814-seirbkiq 322 26 in in IN cord-275814-seirbkiq 322 27 Section section NN cord-275814-seirbkiq 322 28 2.2 2.2 CD cord-275814-seirbkiq 322 29 . . . cord-275814-seirbkiq 323 1 In in IN cord-275814-seirbkiq 323 2 the the DT cord-275814-seirbkiq 323 3 following following NN cord-275814-seirbkiq 323 4 , , , cord-275814-seirbkiq 323 5 we -PRON- PRP cord-275814-seirbkiq 323 6 take take VBP cord-275814-seirbkiq 323 7 City city NN cord-275814-seirbkiq 323 8 1 1 CD cord-275814-seirbkiq 323 9 to to TO cord-275814-seirbkiq 323 10 be be VB cord-275814-seirbkiq 323 11 Tokyo Tokyo NNP cord-275814-seirbkiq 323 12 and and CC cord-275814-seirbkiq 323 13 City City NNP cord-275814-seirbkiq 323 14 2 2 CD cord-275814-seirbkiq 323 15 to to TO cord-275814-seirbkiq 323 16 be be VB cord-275814-seirbkiq 323 17 a a DT cord-275814-seirbkiq 323 18 city city NN cord-275814-seirbkiq 323 19 in in IN cord-275814-seirbkiq 323 20 the the DT cord-275814-seirbkiq 323 21 United United NNP cord-275814-seirbkiq 323 22 States States NNP cord-275814-seirbkiq 323 23 , , , cord-275814-seirbkiq 323 24 where where WRB cord-275814-seirbkiq 323 25 the the DT cord-275814-seirbkiq 323 26 transmission transmission NN cord-275814-seirbkiq 323 27 rate rate NN cord-275814-seirbkiq 323 28 of of IN cord-275814-seirbkiq 323 29 pandemic pandemic NN cord-275814-seirbkiq 323 30 avian avian JJ cord-275814-seirbkiq 323 31 influenza influenza NN cord-275814-seirbkiq 323 32 in in IN cord-275814-seirbkiq 323 33 both both DT cord-275814-seirbkiq 323 34 cities city NNS cord-275814-seirbkiq 323 35 is be VBZ cord-275814-seirbkiq 323 36 β β NN cord-275814-seirbkiq 323 37 p p NN cord-275814-seirbkiq 323 38 ¼ ¼ NN cord-275814-seirbkiq 323 39 3 3 CD cord-275814-seirbkiq 323 40 Â â NN cord-275814-seirbkiq 323 41 10 10 CD cord-275814-seirbkiq 323 42 À à NN cord-275814-seirbkiq 323 43 5 5 CD cord-275814-seirbkiq 323 44 . . . cord-275814-seirbkiq 324 1 When when WRB cord-275814-seirbkiq 324 2 there there EX cord-275814-seirbkiq 324 3 is be VBZ cord-275814-seirbkiq 324 4 no no DT cord-275814-seirbkiq 324 5 travel travel NN cord-275814-seirbkiq 324 6 between between IN cord-275814-seirbkiq 324 7 the the DT cord-275814-seirbkiq 324 8 two two CD cord-275814-seirbkiq 324 9 cities city NNS cord-275814-seirbkiq 324 10 , , , cord-275814-seirbkiq 324 11 we -PRON- PRP cord-275814-seirbkiq 324 12 obtain obtain VBP cord-275814-seirbkiq 324 13 the the DT cord-275814-seirbkiq 324 14 same same JJ cord-275814-seirbkiq 324 15 reproduction reproduction NN cord-275814-seirbkiq 324 16 numbers number NNS cord-275814-seirbkiq 324 17 for for IN cord-275814-seirbkiq 324 18 each each DT cord-275814-seirbkiq 324 19 city city NN cord-275814-seirbkiq 324 20 as as IN cord-275814-seirbkiq 324 21 when when WRB cord-275814-seirbkiq 324 22 the the DT cord-275814-seirbkiq 324 23 reproduction reproduction NN cord-275814-seirbkiq 324 24 numbers number NNS cord-275814-seirbkiq 324 25 are be VBP cord-275814-seirbkiq 324 26 computed compute VBN cord-275814-seirbkiq 324 27 for for IN cord-275814-seirbkiq 324 28 each each DT cord-275814-seirbkiq 324 29 city city NN cord-275814-seirbkiq 324 30 in in IN cord-275814-seirbkiq 324 31 isolation isolation NN cord-275814-seirbkiq 324 32 : : : cord-275814-seirbkiq 324 33 when when WRB cord-275814-seirbkiq 324 34 k k NNP cord-275814-seirbkiq 324 35 2 2 CD cord-275814-seirbkiq 324 36 is be VBZ cord-275814-seirbkiq 324 37 fixed fix VBN cord-275814-seirbkiq 324 38 and and CC cord-275814-seirbkiq 324 39 k k NN cord-275814-seirbkiq 324 40 1 1 CD cord-275814-seirbkiq 324 41 increases increase NNS cord-275814-seirbkiq 324 42 , , , cord-275814-seirbkiq 324 43 R r NN cord-275814-seirbkiq 324 44 1 1 CD cord-275814-seirbkiq 324 45 0 0 CD cord-275814-seirbkiq 324 46 decreases decrease NNS cord-275814-seirbkiq 324 47 . . . cord-275814-seirbkiq 325 1 The the DT cord-275814-seirbkiq 325 2 same same JJ cord-275814-seirbkiq 325 3 is be VBZ cord-275814-seirbkiq 325 4 true true JJ cord-275814-seirbkiq 325 5 for for IN cord-275814-seirbkiq 325 6 the the DT cord-275814-seirbkiq 325 7 reproduction reproduction NN cord-275814-seirbkiq 325 8 number number NN cord-275814-seirbkiq 325 9 for for IN cord-275814-seirbkiq 325 10 City city NN cord-275814-seirbkiq 325 11 2R 2R NNP cord-275814-seirbkiq 325 12 2 2 CD cord-275814-seirbkiq 325 13 0 0 NFP cord-275814-seirbkiq 325 14 ( ( -LRB- cord-275814-seirbkiq 325 15 see see VB cord-275814-seirbkiq 325 16 Fig Fig NNP cord-275814-seirbkiq 325 17 . . NNP cord-275814-seirbkiq 325 18 21 21 CD cord-275814-seirbkiq 325 19 ) ) -RRB- cord-275814-seirbkiq 325 20 . . . cord-275814-seirbkiq 326 1 According accord VBG cord-275814-seirbkiq 326 2 to to IN cord-275814-seirbkiq 326 3 Theorem theorem NN cord-275814-seirbkiq 326 4 1 1 CD cord-275814-seirbkiq 326 5 , , , cord-275814-seirbkiq 326 6 if if IN cord-275814-seirbkiq 326 7 the the DT cord-275814-seirbkiq 326 8 reproduction reproduction NN cord-275814-seirbkiq 326 9 numbers number NNS cord-275814-seirbkiq 326 10 for for IN cord-275814-seirbkiq 326 11 the the DT cord-275814-seirbkiq 326 12 cities city NNS cord-275814-seirbkiq 326 13 are be VBP cord-275814-seirbkiq 326 14 greater great JJR cord-275814-seirbkiq 326 15 than than IN cord-275814-seirbkiq 326 16 one one CD cord-275814-seirbkiq 326 17 , , , cord-275814-seirbkiq 326 18 then then RB cord-275814-seirbkiq 326 19 the the DT cord-275814-seirbkiq 326 20 disease disease NN cord-275814-seirbkiq 326 21 will will MD cord-275814-seirbkiq 326 22 always always RB cord-275814-seirbkiq 326 23 persist persist VB cord-275814-seirbkiq 326 24 . . . cord-275814-seirbkiq 327 1 For for IN cord-275814-seirbkiq 327 2 example example NN cord-275814-seirbkiq 327 3 , , , cord-275814-seirbkiq 327 4 the the DT cord-275814-seirbkiq 327 5 reproduction reproduction NN cord-275814-seirbkiq 327 6 numbers number NNS cord-275814-seirbkiq 327 7 for for IN cord-275814-seirbkiq 327 8 two two CD cord-275814-seirbkiq 327 9 cities city NNS cord-275814-seirbkiq 327 10 areR areR NFP cord-275814-seirbkiq 327 11 1 1 CD cord-275814-seirbkiq 327 12 0 0 CD cord-275814-seirbkiq 327 13 ¼ ¼ CD cord-275814-seirbkiq 327 14 1:40 1:40 CD cord-275814-seirbkiq 327 15 andR andr CD cord-275814-seirbkiq 327 16 2 2 CD cord-275814-seirbkiq 327 17 0 0 CD cord-275814-seirbkiq 327 18 ¼ ¼ CD cord-275814-seirbkiq 327 19 8:87 8:87 CD cord-275814-seirbkiq 327 20 when when WRB cord-275814-seirbkiq 327 21 HPAI HPAI NNP cord-275814-seirbkiq 327 22 is be VBZ cord-275814-seirbkiq 327 23 in in IN cord-275814-seirbkiq 327 24 the the DT cord-275814-seirbkiq 327 25 endemic endemic JJ cord-275814-seirbkiq 327 26 state state NN cord-275814-seirbkiq 327 27 in in IN cord-275814-seirbkiq 327 28 the the DT cord-275814-seirbkiq 327 29 bird bird NN cord-275814-seirbkiq 327 30 population population NN cord-275814-seirbkiq 327 31 ( ( -LRB- cord-275814-seirbkiq 327 32 current current JJ cord-275814-seirbkiq 327 33 state state NN cord-275814-seirbkiq 327 34 ) ) -RRB- cord-275814-seirbkiq 327 35 . . . cord-275814-seirbkiq 328 1 This this DT cord-275814-seirbkiq 328 2 scenario scenario NN cord-275814-seirbkiq 328 3 is be VBZ cord-275814-seirbkiq 328 4 illustrated illustrate VBN cord-275814-seirbkiq 328 5 in in IN cord-275814-seirbkiq 328 6 Fig Fig NNP cord-275814-seirbkiq 328 7 . . . cord-275814-seirbkiq 329 1 22(a 22(a LS cord-275814-seirbkiq 329 2 ) ) -RRB- cord-275814-seirbkiq 329 3 , , , cord-275814-seirbkiq 329 4 where where WRB cord-275814-seirbkiq 329 5 the the DT cord-275814-seirbkiq 329 6 higher high JJR cord-275814-seirbkiq 329 7 reproduction reproduction NN cord-275814-seirbkiq 329 8 number number NN cord-275814-seirbkiq 329 9 leads lead VBZ cord-275814-seirbkiq 329 10 to to IN cord-275814-seirbkiq 329 11 higher high JJR cord-275814-seirbkiq 329 12 prevalence prevalence NN cord-275814-seirbkiq 329 13 of of IN cord-275814-seirbkiq 329 14 the the DT cord-275814-seirbkiq 329 15 disease disease NN cord-275814-seirbkiq 329 16 . . . cord-275814-seirbkiq 330 1 In in IN cord-275814-seirbkiq 330 2 a a DT cord-275814-seirbkiq 330 3 situation situation NN cord-275814-seirbkiq 330 4 where where WRB cord-275814-seirbkiq 330 5 the the DT cord-275814-seirbkiq 330 6 reproduction reproduction NN cord-275814-seirbkiq 330 7 number number NN cord-275814-seirbkiq 330 8 is be VBZ cord-275814-seirbkiq 330 9 greater great JJR cord-275814-seirbkiq 330 10 than than IN cord-275814-seirbkiq 330 11 one one CD cord-275814-seirbkiq 330 12 in in IN cord-275814-seirbkiq 330 13 one one CD cord-275814-seirbkiq 330 14 city city NN cord-275814-seirbkiq 330 15 and and CC cord-275814-seirbkiq 330 16 less less JJR cord-275814-seirbkiq 330 17 than than IN cord-275814-seirbkiq 330 18 one one CD cord-275814-seirbkiq 330 19 in in IN cord-275814-seirbkiq 330 20 another another DT cord-275814-seirbkiq 330 21 city city NN cord-275814-seirbkiq 330 22 , , , cord-275814-seirbkiq 330 23 then then RB cord-275814-seirbkiq 330 24 the the DT cord-275814-seirbkiq 330 25 disease disease NN cord-275814-seirbkiq 330 26 still still RB cord-275814-seirbkiq 330 27 persists persist VBZ cord-275814-seirbkiq 330 28 in in IN cord-275814-seirbkiq 330 29 both both DT cord-275814-seirbkiq 330 30 cities city NNS cord-275814-seirbkiq 330 31 ( ( -LRB- cord-275814-seirbkiq 330 32 see see VB cord-275814-seirbkiq 330 33 Fig Fig NNP cord-275814-seirbkiq 330 34 . . . cord-275814-seirbkiq 331 1 22(b 22(b LS cord-275814-seirbkiq 331 2 ) ) -RRB- cord-275814-seirbkiq 331 3 ) ) -RRB- cord-275814-seirbkiq 331 4 . . . cord-275814-seirbkiq 332 1 Next next RB cord-275814-seirbkiq 332 2 , , , cord-275814-seirbkiq 332 3 we -PRON- PRP cord-275814-seirbkiq 332 4 investigate investigate VBP cord-275814-seirbkiq 332 5 the the DT cord-275814-seirbkiq 332 6 effects effect NNS cord-275814-seirbkiq 332 7 of of IN cord-275814-seirbkiq 332 8 air air NN cord-275814-seirbkiq 332 9 travel travel NN cord-275814-seirbkiq 332 10 on on IN cord-275814-seirbkiq 332 11 the the DT cord-275814-seirbkiq 332 12 elasticities elasticity NNS cord-275814-seirbkiq 332 13 of of IN cord-275814-seirbkiq 332 14 the the DT cord-275814-seirbkiq 332 15 reproduction reproduction NN cord-275814-seirbkiq 332 16 numbers number NNS cord-275814-seirbkiq 332 17 for for IN cord-275814-seirbkiq 332 18 various various JJ cord-275814-seirbkiq 332 19 cities city NNS cord-275814-seirbkiq 332 20 . . . cord-275814-seirbkiq 333 1 If if IN cord-275814-seirbkiq 333 2 the the DT cord-275814-seirbkiq 333 3 cities city NNS cord-275814-seirbkiq 333 4 are be VBP cord-275814-seirbkiq 333 5 isolated isolate VBN cord-275814-seirbkiq 333 6 and and CC cord-275814-seirbkiq 333 7 there there EX cord-275814-seirbkiq 333 8 is be VBZ cord-275814-seirbkiq 333 9 no no DT cord-275814-seirbkiq 333 10 travel travel NN cord-275814-seirbkiq 333 11 that that WDT cord-275814-seirbkiq 333 12 links link VBZ cord-275814-seirbkiq 333 13 them -PRON- PRP cord-275814-seirbkiq 333 14 , , , cord-275814-seirbkiq 333 15 then then RB cord-275814-seirbkiq 333 16 the the DT cord-275814-seirbkiq 333 17 elasticities elasticity NNS cord-275814-seirbkiq 333 18 of of IN cord-275814-seirbkiq 333 19 the the DT cord-275814-seirbkiq 333 20 reproduction reproduction NN cord-275814-seirbkiq 333 21 numbers number NNS cord-275814-seirbkiq 333 22 R r NN cord-275814-seirbkiq 333 23 1 1 CD cord-275814-seirbkiq 333 24 0 0 CD cord-275814-seirbkiq 333 25 ; ; : cord-275814-seirbkiq 333 26 R r NN cord-275814-seirbkiq 333 27 2 2 CD cord-275814-seirbkiq 333 28 0 0 CD cord-275814-seirbkiq 333 29 with with IN cord-275814-seirbkiq 333 30 respect respect NN cord-275814-seirbkiq 333 31 to to IN cord-275814-seirbkiq 333 32 the the DT cord-275814-seirbkiq 333 33 parameters parameter NNS cord-275814-seirbkiq 333 34 β β NN cord-275814-seirbkiq 333 35 p p NN cord-275814-seirbkiq 333 36 , , , cord-275814-seirbkiq 333 37 Λ Λ NNP cord-275814-seirbkiq 333 38 1 1 CD cord-275814-seirbkiq 333 39 , , , cord-275814-seirbkiq 333 40 Λ Λ NNP cord-275814-seirbkiq 333 41 2 2 CD cord-275814-seirbkiq 333 42 , , , cord-275814-seirbkiq 333 43 μ μ NN cord-275814-seirbkiq 333 44 1 1 CD cord-275814-seirbkiq 333 45 , , , cord-275814-seirbkiq 333 46 μ μ NN cord-275814-seirbkiq 333 47 2 2 CD cord-275814-seirbkiq 333 48 , , , cord-275814-seirbkiq 333 49 ν ν NNP cord-275814-seirbkiq 333 50 p p NN cord-275814-seirbkiq 333 51 1 1 CD cord-275814-seirbkiq 333 52 and and CC cord-275814-seirbkiq 333 53 ν ν NN cord-275814-seirbkiq 333 54 p p NN cord-275814-seirbkiq 333 55 2 2 CD cord-275814-seirbkiq 333 56 are be VBP cord-275814-seirbkiq 333 57 obtained obtain VBN cord-275814-seirbkiq 333 58 from from IN cord-275814-seirbkiq 333 59 the the DT cord-275814-seirbkiq 333 60 analytic analytic JJ cord-275814-seirbkiq 333 61 expressions expression NNS cord-275814-seirbkiq 333 62 given give VBN cord-275814-seirbkiq 333 63 in in IN cord-275814-seirbkiq 333 64 Eq Eq NNP cord-275814-seirbkiq 333 65 . . . cord-275814-seirbkiq 334 1 ( ( -LRB- cord-275814-seirbkiq 334 2 16 16 CD cord-275814-seirbkiq 334 3 ) ) -RRB- cord-275814-seirbkiq 334 4 : : : cord-275814-seirbkiq 334 5 _SP cord-275814-seirbkiq 334 6 When when WRB cord-275814-seirbkiq 334 7 the the DT cord-275814-seirbkiq 334 8 two two CD cord-275814-seirbkiq 334 9 cities city NNS cord-275814-seirbkiq 334 10 are be VBP cord-275814-seirbkiq 334 11 connected connect VBN cord-275814-seirbkiq 334 12 via via IN cord-275814-seirbkiq 334 13 air air NN cord-275814-seirbkiq 334 14 travel travel NN cord-275814-seirbkiq 334 15 , , , cord-275814-seirbkiq 334 16 then then RB cord-275814-seirbkiq 334 17 the the DT cord-275814-seirbkiq 334 18 elasticities elasticity NNS cord-275814-seirbkiq 334 19 of of IN cord-275814-seirbkiq 334 20 the the DT cord-275814-seirbkiq 334 21 reproduction reproduction NN cord-275814-seirbkiq 334 22 numbers number NNS cord-275814-seirbkiq 334 23 R r NN cord-275814-seirbkiq 334 24 1 1 CD cord-275814-seirbkiq 334 25 0 0 CD cord-275814-seirbkiq 334 26 ; ; : cord-275814-seirbkiq 334 27 R r NN cord-275814-seirbkiq 334 28 2 2 CD cord-275814-seirbkiq 334 29 0 0 CD cord-275814-seirbkiq 334 30 with with IN cord-275814-seirbkiq 334 31 respect respect NN cord-275814-seirbkiq 334 32 to to IN cord-275814-seirbkiq 334 33 the the DT cord-275814-seirbkiq 334 34 parameters parameter NNS cord-275814-seirbkiq 334 35 β β NN cord-275814-seirbkiq 334 36 p p NN cord-275814-seirbkiq 334 37 , , , cord-275814-seirbkiq 334 38 Λ Λ NNP cord-275814-seirbkiq 334 39 1 1 CD cord-275814-seirbkiq 334 40 , , , cord-275814-seirbkiq 334 41 Λ Λ NNP cord-275814-seirbkiq 334 42 2 2 CD cord-275814-seirbkiq 334 43 , , , cord-275814-seirbkiq 334 44 μ μ NN cord-275814-seirbkiq 334 45 1 1 CD cord-275814-seirbkiq 334 46 , , , cord-275814-seirbkiq 334 47 μ μ NN cord-275814-seirbkiq 334 48 2 2 CD cord-275814-seirbkiq 334 49 , , , cord-275814-seirbkiq 334 50 ν ν NNP cord-275814-seirbkiq 334 51 p p NN cord-275814-seirbkiq 334 52 1 1 CD cord-275814-seirbkiq 334 53 and and CC cord-275814-seirbkiq 334 54 ν ν NN cord-275814-seirbkiq 334 55 p p NN cord-275814-seirbkiq 334 56 2 2 CD cord-275814-seirbkiq 334 57 are be VBP cord-275814-seirbkiq 334 58 obtained obtain VBN cord-275814-seirbkiq 334 59 from from IN cord-275814-seirbkiq 334 60 their -PRON- PRP$ cord-275814-seirbkiq 334 61 analytic analytic JJ cord-275814-seirbkiq 334 62 expressions expression NNS cord-275814-seirbkiq 334 63 . . . cord-275814-seirbkiq 335 1 The the DT cord-275814-seirbkiq 335 2 elasticities elasticity NNS cord-275814-seirbkiq 335 3 of of IN cord-275814-seirbkiq 335 4 the the DT cord-275814-seirbkiq 335 5 reproduction reproduction NN cord-275814-seirbkiq 335 6 number number NN cord-275814-seirbkiq 335 7 for for IN cord-275814-seirbkiq 335 8 City city NN cord-275814-seirbkiq 335 9 1 1 CD cord-275814-seirbkiq 335 10 are be VBP cord-275814-seirbkiq 335 11 The the DT cord-275814-seirbkiq 335 12 elasticities elasticity NNS cord-275814-seirbkiq 335 13 of of IN cord-275814-seirbkiq 335 14 the the DT cord-275814-seirbkiq 335 15 reproduction reproduction NN cord-275814-seirbkiq 335 16 number number NN cord-275814-seirbkiq 335 17 for for IN cord-275814-seirbkiq 335 18 City city NN cord-275814-seirbkiq 335 19 2 2 CD cord-275814-seirbkiq 335 20 are be VBP cord-275814-seirbkiq 335 21 As as IN cord-275814-seirbkiq 335 22 can can MD cord-275814-seirbkiq 335 23 be be VB cord-275814-seirbkiq 335 24 seen see VBN cord-275814-seirbkiq 335 25 in in IN cord-275814-seirbkiq 335 26 the the DT cord-275814-seirbkiq 335 27 above above JJ cord-275814-seirbkiq 335 28 expressions expression NNS cord-275814-seirbkiq 335 29 , , , cord-275814-seirbkiq 335 30 the the DT cord-275814-seirbkiq 335 31 elasticities elasticity NNS cord-275814-seirbkiq 335 32 of of IN cord-275814-seirbkiq 335 33 the the DT cord-275814-seirbkiq 335 34 reproduction reproduction NN cord-275814-seirbkiq 335 35 numbers number NNS cord-275814-seirbkiq 335 36 with with IN cord-275814-seirbkiq 335 37 respect respect NN cord-275814-seirbkiq 335 38 to to IN cord-275814-seirbkiq 335 39 the the DT cord-275814-seirbkiq 335 40 parameter parameter NN cord-275814-seirbkiq 335 41 β β NN cord-275814-seirbkiq 335 42 p p NN cord-275814-seirbkiq 335 43 are be VBP cord-275814-seirbkiq 335 44 not not RB cord-275814-seirbkiq 335 45 affected affect VBN cord-275814-seirbkiq 335 46 by by IN cord-275814-seirbkiq 335 47 the the DT cord-275814-seirbkiq 335 48 travel travel NN cord-275814-seirbkiq 335 49 rates rate NNS cord-275814-seirbkiq 335 50 . . . cord-275814-seirbkiq 336 1 However however RB cord-275814-seirbkiq 336 2 , , , cord-275814-seirbkiq 336 3 the the DT cord-275814-seirbkiq 336 4 elasticities elasticity NNS cord-275814-seirbkiq 336 5 with with IN cord-275814-seirbkiq 336 6 respect respect NN cord-275814-seirbkiq 336 7 to to IN cord-275814-seirbkiq 336 8 parameters parameter NNS cord-275814-seirbkiq 336 9 Λ Λ NNP cord-275814-seirbkiq 336 10 1 1 CD cord-275814-seirbkiq 336 11 and and CC cord-275814-seirbkiq 336 12 Λ Λ NNP cord-275814-seirbkiq 336 13 2 2 CD cord-275814-seirbkiq 336 14 are be VBP cord-275814-seirbkiq 336 15 affected affect VBN cord-275814-seirbkiq 336 16 drastically drastically RB cord-275814-seirbkiq 336 17 . . . cord-275814-seirbkiq 337 1 Consider consider VB cord-275814-seirbkiq 337 2 , , , cord-275814-seirbkiq 337 3 for for IN cord-275814-seirbkiq 337 4 example example NN cord-275814-seirbkiq 337 5 , , , cord-275814-seirbkiq 337 6 Fig Fig NNP cord-275814-seirbkiq 337 7 . . . cord-275814-seirbkiq 338 1 23(a 23(a LS cord-275814-seirbkiq 338 2 ) ) -RRB- cord-275814-seirbkiq 339 1 and and CC cord-275814-seirbkiq 339 2 ( ( -LRB- cord-275814-seirbkiq 339 3 b b NN cord-275814-seirbkiq 339 4 ) ) -RRB- cord-275814-seirbkiq 339 5 , , , cord-275814-seirbkiq 339 6 which which WDT cord-275814-seirbkiq 339 7 illustrate illustrate VBP cord-275814-seirbkiq 339 8 the the DT cord-275814-seirbkiq 339 9 effects effect NNS cord-275814-seirbkiq 339 10 of of IN cord-275814-seirbkiq 339 11 air air NN cord-275814-seirbkiq 339 12 travel travel NN cord-275814-seirbkiq 339 13 on on IN cord-275814-seirbkiq 339 14 ER ER NNP cord-275814-seirbkiq 339 15 is be VBZ cord-275814-seirbkiq 339 16 no no DT cord-275814-seirbkiq 339 17 air air NN cord-275814-seirbkiq 339 18 travel travel NN cord-275814-seirbkiq 339 19 , , , cord-275814-seirbkiq 339 20 the the DT cord-275814-seirbkiq 339 21 reproduction reproduction NN cord-275814-seirbkiq 339 22 number number NN cord-275814-seirbkiq 339 23 is be VBZ cord-275814-seirbkiq 339 24 very very RB cord-275814-seirbkiq 339 25 sensitive sensitive JJ cord-275814-seirbkiq 339 26 to to IN cord-275814-seirbkiq 339 27 changes change NNS cord-275814-seirbkiq 339 28 in in IN cord-275814-seirbkiq 339 29 Λ Λ NNP cord-275814-seirbkiq 339 30 1 1 CD cord-275814-seirbkiq 339 31 ( ( -LRB- cord-275814-seirbkiq 339 32 ER ER NNP cord-275814-seirbkiq 339 33 1 1 CD cord-275814-seirbkiq 339 34 0 0 CD cord-275814-seirbkiq 339 35 Λ1 λ1 CD cord-275814-seirbkiq 339 36 ¼ ¼ CD cord-275814-seirbkiq 339 37 1 1 CD cord-275814-seirbkiq 339 38 ) ) -RRB- cord-275814-seirbkiq 339 39 . . . cord-275814-seirbkiq 340 1 When when WRB cord-275814-seirbkiq 340 2 the the DT cord-275814-seirbkiq 340 3 two two CD cord-275814-seirbkiq 340 4 cities city NNS cord-275814-seirbkiq 340 5 are be VBP cord-275814-seirbkiq 340 6 connected connect VBN cord-275814-seirbkiq 340 7 via via IN cord-275814-seirbkiq 340 8 air air NN cord-275814-seirbkiq 340 9 travel travel NN cord-275814-seirbkiq 340 10 , , , cord-275814-seirbkiq 340 11 then then RB cord-275814-seirbkiq 341 1 the the DT cord-275814-seirbkiq 341 2 elasticity elasticity NN cord-275814-seirbkiq 341 3 ER ER NNP cord-275814-seirbkiq 341 4 1 1 CD cord-275814-seirbkiq 341 5 0 0 CD cord-275814-seirbkiq 341 6 Λ1 Λ1 NNP cord-275814-seirbkiq 341 7 drops drop VBZ cord-275814-seirbkiq 341 8 below below IN cord-275814-seirbkiq 341 9 0.04 0.04 CD cord-275814-seirbkiq 341 10 . . . cord-275814-seirbkiq 342 1 On on IN cord-275814-seirbkiq 342 2 the the DT cord-275814-seirbkiq 342 3 other other JJ cord-275814-seirbkiq 342 4 hand hand NN cord-275814-seirbkiq 342 5 , , , cord-275814-seirbkiq 342 6 when when WRB cord-275814-seirbkiq 342 7 the the DT cord-275814-seirbkiq 342 8 two two CD cord-275814-seirbkiq 342 9 cities city NNS cord-275814-seirbkiq 342 10 are be VBP cord-275814-seirbkiq 342 11 isolated isolate VBN cord-275814-seirbkiq 342 12 , , , cord-275814-seirbkiq 342 13 the the DT cord-275814-seirbkiq 342 14 sensitivity sensitivity NN cord-275814-seirbkiq 342 15 of of IN cord-275814-seirbkiq 342 16 the the DT cord-275814-seirbkiq 342 17 City City NNP cord-275814-seirbkiq 342 18 1 1 CD cord-275814-seirbkiq 342 19 reproduction reproduction NN cord-275814-seirbkiq 342 20 number number NN cord-275814-seirbkiq 342 21 to to IN cord-275814-seirbkiq 342 22 Λ λ NN cord-275814-seirbkiq 342 23 2 2 CD cord-275814-seirbkiq 342 24 is be VBZ cord-275814-seirbkiq 342 25 nonexistent nonexistent JJ cord-275814-seirbkiq 342 26 , , , cord-275814-seirbkiq 342 27 but but CC cord-275814-seirbkiq 342 28 when when WRB cord-275814-seirbkiq 342 29 the the DT cord-275814-seirbkiq 342 30 cities city NNS cord-275814-seirbkiq 342 31 are be VBP cord-275814-seirbkiq 342 32 connected connect VBN cord-275814-seirbkiq 342 33 , , , cord-275814-seirbkiq 342 34 the the DT cord-275814-seirbkiq 342 35 sensitivity sensitivity NN cord-275814-seirbkiq 342 36 increases increase VBZ cord-275814-seirbkiq 342 37 above above IN cord-275814-seirbkiq 342 38 0.9 0.9 CD cord-275814-seirbkiq 342 39 . . . cord-275814-seirbkiq 343 1 The the DT cord-275814-seirbkiq 343 2 same same JJ cord-275814-seirbkiq 343 3 reasoning reasoning NN cord-275814-seirbkiq 343 4 holds hold VBZ cord-275814-seirbkiq 343 5 for for IN cord-275814-seirbkiq 343 6 City city NN cord-275814-seirbkiq 343 7 2 2 CD cord-275814-seirbkiq 343 8 . . . cord-275814-seirbkiq 344 1 The the DT cord-275814-seirbkiq 344 2 elasticity elasticity NN cord-275814-seirbkiq 344 3 of of IN cord-275814-seirbkiq 344 4 ER ER NNP cord-275814-seirbkiq 344 5 1 1 CD cord-275814-seirbkiq 344 6 0 0 CD cord-275814-seirbkiq 344 7 νp νp NN cord-275814-seirbkiq 344 8 1 1 CD cord-275814-seirbkiq 344 9 is be VBZ cord-275814-seirbkiq 344 10 À0:99 à0:99 JJ cord-275814-seirbkiq 344 11 when when WRB cord-275814-seirbkiq 344 12 there there EX cord-275814-seirbkiq 344 13 is be VBZ cord-275814-seirbkiq 344 14 no no DT cord-275814-seirbkiq 344 15 air air NN cord-275814-seirbkiq 344 16 travel travel NN cord-275814-seirbkiq 344 17 . . . cord-275814-seirbkiq 345 1 This this DT cord-275814-seirbkiq 345 2 is be VBZ cord-275814-seirbkiq 345 3 a a DT cord-275814-seirbkiq 345 4 very very RB cord-275814-seirbkiq 345 5 high high JJ cord-275814-seirbkiq 345 6 sensitivity sensitivity NN cord-275814-seirbkiq 345 7 in in IN cord-275814-seirbkiq 345 8 the the DT cord-275814-seirbkiq 345 9 opposite opposite JJ cord-275814-seirbkiq 345 10 direction direction NN cord-275814-seirbkiq 345 11 , , , cord-275814-seirbkiq 345 12 meaning mean VBG cord-275814-seirbkiq 345 13 that that IN cord-275814-seirbkiq 345 14 control control NN cord-275814-seirbkiq 345 15 measures measure NNS cord-275814-seirbkiq 345 16 that that WDT cord-275814-seirbkiq 345 17 decrease decrease VBP cord-275814-seirbkiq 345 18 the the DT cord-275814-seirbkiq 345 19 infectious infectious JJ cord-275814-seirbkiq 345 20 period period NN cord-275814-seirbkiq 345 21 ( ( -LRB- cord-275814-seirbkiq 345 22 e.g. e.g. RB cord-275814-seirbkiq 345 23 , , , cord-275814-seirbkiq 345 24 vaccination vaccination NN cord-275814-seirbkiq 345 25 ) ) -RRB- cord-275814-seirbkiq 345 26 result result VBP cord-275814-seirbkiq 345 27 in in IN cord-275814-seirbkiq 345 28 a a DT cord-275814-seirbkiq 345 29 large large JJ cord-275814-seirbkiq 345 30 reduction reduction NN cord-275814-seirbkiq 345 31 of of IN cord-275814-seirbkiq 345 32 the the DT cord-275814-seirbkiq 345 33 basic basic JJ cord-275814-seirbkiq 345 34 reproduction reproduction NN cord-275814-seirbkiq 345 35 number number NN cord-275814-seirbkiq 345 36 for for IN cord-275814-seirbkiq 345 37 City city NN cord-275814-seirbkiq 345 38 1 1 CD cord-275814-seirbkiq 345 39 . . . cord-275814-seirbkiq 346 1 When when WRB cord-275814-seirbkiq 346 2 the the DT cord-275814-seirbkiq 346 3 two two CD cord-275814-seirbkiq 346 4 cities city NNS cord-275814-seirbkiq 346 5 are be VBP cord-275814-seirbkiq 346 6 connected connect VBN cord-275814-seirbkiq 346 7 , , , cord-275814-seirbkiq 346 8 but but CC cord-275814-seirbkiq 346 9 the the DT cord-275814-seirbkiq 346 10 travel travel NN cord-275814-seirbkiq 346 11 rate rate NN cord-275814-seirbkiq 346 12 from from IN cord-275814-seirbkiq 346 13 City city NN cord-275814-seirbkiq 346 14 1 1 CD cord-275814-seirbkiq 346 15 is be VBZ cord-275814-seirbkiq 346 16 assumed assume VBN cord-275814-seirbkiq 346 17 to to TO cord-275814-seirbkiq 346 18 be be VB cord-275814-seirbkiq 346 19 zero zero CD cord-275814-seirbkiq 346 20 ( ( -LRB- cord-275814-seirbkiq 346 21 i.e. i.e. FW cord-275814-seirbkiq 346 22 , , , cord-275814-seirbkiq 346 23 k k NNP cord-275814-seirbkiq 346 24 1 1 CD cord-275814-seirbkiq 346 25 ¼ ¼ CD cord-275814-seirbkiq 346 26 0 0 CD cord-275814-seirbkiq 346 27 and and CC cord-275814-seirbkiq 346 28 k k NNP cord-275814-seirbkiq 346 29 2 2 CD cord-275814-seirbkiq 346 30 40 40 CD cord-275814-seirbkiq 346 31 ) ) -RRB- cord-275814-seirbkiq 346 32 , , , cord-275814-seirbkiq 346 33 then then RB cord-275814-seirbkiq 346 34 the the DT cord-275814-seirbkiq 346 35 elasticity elasticity NN cord-275814-seirbkiq 346 36 ER ER NNP cord-275814-seirbkiq 346 37 increases increase VBZ cord-275814-seirbkiq 346 38 as as IN cord-275814-seirbkiq 346 39 k k NNP cord-275814-seirbkiq 346 40 2 2 CD cord-275814-seirbkiq 346 41 increases increase NNS cord-275814-seirbkiq 346 42 and and CC cord-275814-seirbkiq 346 43 decreases decrease VBZ cord-275814-seirbkiq 346 44 as as IN cord-275814-seirbkiq 346 45 k k NNP cord-275814-seirbkiq 346 46 1 1 CD cord-275814-seirbkiq 346 47 increases increase NNS cord-275814-seirbkiq 346 48 . . . cord-275814-seirbkiq 347 1 As as IN cord-275814-seirbkiq 347 2 Fig Fig NNP cord-275814-seirbkiq 347 3 . . . cord-275814-seirbkiq 347 4 24(a 24(a CD cord-275814-seirbkiq 347 5 ) ) -RRB- cord-275814-seirbkiq 347 6 suggests suggest VBZ cord-275814-seirbkiq 347 7 , , , cord-275814-seirbkiq 347 8 control control NN cord-275814-seirbkiq 347 9 measures measure NNS cord-275814-seirbkiq 347 10 focused focus VBN cord-275814-seirbkiq 347 11 on on IN cord-275814-seirbkiq 347 12 reducing reduce VBG cord-275814-seirbkiq 347 13 the the DT cord-275814-seirbkiq 347 14 infectious infectious JJ cord-275814-seirbkiq 347 15 period period NN cord-275814-seirbkiq 347 16 are be VBP cord-275814-seirbkiq 347 17 a a DT cord-275814-seirbkiq 347 18 waste waste NN cord-275814-seirbkiq 347 19 of of IN cord-275814-seirbkiq 347 20 time time NN cord-275814-seirbkiq 347 21 and and CC cord-275814-seirbkiq 347 22 money money NN cord-275814-seirbkiq 347 23 if if IN cord-275814-seirbkiq 347 24 the the DT cord-275814-seirbkiq 347 25 travel travel NN cord-275814-seirbkiq 347 26 rate rate NN cord-275814-seirbkiq 347 27 out out IN cord-275814-seirbkiq 347 28 of of IN cord-275814-seirbkiq 347 29 City City NNP cord-275814-seirbkiq 347 30 1 1 CD cord-275814-seirbkiq 347 31 is be VBZ cord-275814-seirbkiq 347 32 high high JJ cord-275814-seirbkiq 347 33 and and CC cord-275814-seirbkiq 347 34 the the DT cord-275814-seirbkiq 347 35 travel travel NN cord-275814-seirbkiq 347 36 rate rate NN cord-275814-seirbkiq 347 37 into into IN cord-275814-seirbkiq 347 38 City city NN cord-275814-seirbkiq 347 39 1 1 CD cord-275814-seirbkiq 347 40 is be VBZ cord-275814-seirbkiq 347 41 low low JJ cord-275814-seirbkiq 347 42 . . . cord-275814-seirbkiq 348 1 In in IN cord-275814-seirbkiq 348 2 such such PDT cord-275814-seirbkiq 348 3 a a DT cord-275814-seirbkiq 348 4 case case NN cord-275814-seirbkiq 348 5 , , , cord-275814-seirbkiq 348 6 the the DT cord-275814-seirbkiq 348 7 best good JJS cord-275814-seirbkiq 348 8 strategy strategy NN cord-275814-seirbkiq 348 9 is be VBZ cord-275814-seirbkiq 348 10 to to TO cord-275814-seirbkiq 348 11 vaccinate vaccinate VB cord-275814-seirbkiq 348 12 individuals individual NNS cord-275814-seirbkiq 348 13 in in IN cord-275814-seirbkiq 348 14 City city NN cord-275814-seirbkiq 348 15 2 2 CD cord-275814-seirbkiq 348 16 ( ( -LRB- cord-275814-seirbkiq 348 17 see see VB cord-275814-seirbkiq 348 18 Fig Fig NNP cord-275814-seirbkiq 348 19 . . . cord-275814-seirbkiq 349 1 24(b 24(b LS cord-275814-seirbkiq 349 2 ) ) -RRB- cord-275814-seirbkiq 349 3 ) ) -RRB- cord-275814-seirbkiq 349 4 . . . cord-275814-seirbkiq 350 1 The the DT cord-275814-seirbkiq 350 2 two two CD cord-275814-seirbkiq 350 3 - - HYPH cord-275814-seirbkiq 350 4 city city NN cord-275814-seirbkiq 350 5 model model NN cord-275814-seirbkiq 350 6 presented present VBN cord-275814-seirbkiq 350 7 in in IN cord-275814-seirbkiq 350 8 this this DT cord-275814-seirbkiq 350 9 paper paper NN cord-275814-seirbkiq 350 10 was be VBD cord-275814-seirbkiq 350 11 developed develop VBN cord-275814-seirbkiq 350 12 to to TO cord-275814-seirbkiq 350 13 express express VB cord-275814-seirbkiq 350 14 and and CC cord-275814-seirbkiq 350 15 reason reason VB cord-275814-seirbkiq 350 16 about about IN cord-275814-seirbkiq 350 17 the the DT cord-275814-seirbkiq 350 18 spread spread NN cord-275814-seirbkiq 350 19 of of IN cord-275814-seirbkiq 350 20 pandemic pandemic NN cord-275814-seirbkiq 350 21 influenza influenza NN cord-275814-seirbkiq 350 22 from from IN cord-275814-seirbkiq 350 23 cities city NNS cord-275814-seirbkiq 350 24 in in IN cord-275814-seirbkiq 350 25 Asia Asia NNP cord-275814-seirbkiq 350 26 and and CC cord-275814-seirbkiq 350 27 Australia Australia NNP cord-275814-seirbkiq 350 28 to to IN cord-275814-seirbkiq 350 29 the the DT cord-275814-seirbkiq 350 30 U.S. U.S. NNP cord-275814-seirbkiq 350 31 via via IN cord-275814-seirbkiq 350 32 air air NN cord-275814-seirbkiq 350 33 travel travel NN cord-275814-seirbkiq 350 34 . . . cord-275814-seirbkiq 351 1 Data datum NNS cord-275814-seirbkiq 351 2 obtained obtain VBN cord-275814-seirbkiq 351 3 from from IN cord-275814-seirbkiq 351 4 the the DT cord-275814-seirbkiq 351 5 U.S. U.S. NNP cord-275814-seirbkiq 351 6 Department Department NNP cord-275814-seirbkiq 351 7 of of IN cord-275814-seirbkiq 351 8 Transportation Transportation NNP cord-275814-seirbkiq 351 9 and and CC cord-275814-seirbkiq 351 10 WHO who WP cord-275814-seirbkiq 351 11 were be VBD cord-275814-seirbkiq 351 12 used use VBN cord-275814-seirbkiq 351 13 to to TO cord-275814-seirbkiq 351 14 estimate estimate VB cord-275814-seirbkiq 351 15 fixed fixed JJ cord-275814-seirbkiq 351 16 model model NN cord-275814-seirbkiq 351 17 parameters parameter NNS cord-275814-seirbkiq 351 18 such such JJ cord-275814-seirbkiq 351 19 as as IN cord-275814-seirbkiq 351 20 the the DT cord-275814-seirbkiq 351 21 travel travel NN cord-275814-seirbkiq 351 22 rate rate NN cord-275814-seirbkiq 351 23 , , , cord-275814-seirbkiq 351 24 birth birth NN cord-275814-seirbkiq 351 25 rate rate NN cord-275814-seirbkiq 351 26 and and CC cord-275814-seirbkiq 351 27 natural natural JJ cord-275814-seirbkiq 351 28 death death NN cord-275814-seirbkiq 351 29 rate rate NN cord-275814-seirbkiq 351 30 . . . cord-275814-seirbkiq 352 1 Model model NN cord-275814-seirbkiq 352 2 parameters parameter NNS cord-275814-seirbkiq 352 3 such such JJ cord-275814-seirbkiq 352 4 as as IN cord-275814-seirbkiq 352 5 transmission transmission NN cord-275814-seirbkiq 352 6 rates rate NNS cord-275814-seirbkiq 352 7 and and CC cord-275814-seirbkiq 352 8 hypothetical hypothetical JJ cord-275814-seirbkiq 352 9 pandemic pandemic NN cord-275814-seirbkiq 352 10 death death NN cord-275814-seirbkiq 352 11 rates rate NNS cord-275814-seirbkiq 352 12 were be VBD cord-275814-seirbkiq 352 13 obtained obtain VBN cord-275814-seirbkiq 352 14 or or CC cord-275814-seirbkiq 352 15 estimated estimate VBN cord-275814-seirbkiq 352 16 from from IN cord-275814-seirbkiq 352 17 fitted fit VBN cord-275814-seirbkiq 352 18 values value NNS cord-275814-seirbkiq 352 19 in in IN cord-275814-seirbkiq 352 20 the the DT cord-275814-seirbkiq 352 21 literature literature NN cord-275814-seirbkiq 352 22 . . . cord-275814-seirbkiq 353 1 The the DT cord-275814-seirbkiq 353 2 reproduction reproduction NN cord-275814-seirbkiq 353 3 numbers number NNS cord-275814-seirbkiq 353 4 computed compute VBN cord-275814-seirbkiq 353 5 for for IN cord-275814-seirbkiq 353 6 the the DT cord-275814-seirbkiq 353 7 bird bird NN cord-275814-seirbkiq 353 8 and and CC cord-275814-seirbkiq 353 9 human human JJ cord-275814-seirbkiq 353 10 populations population NNS cord-275814-seirbkiq 353 11 ( ( -LRB- cord-275814-seirbkiq 353 12 r r NN cord-275814-seirbkiq 353 13 0 0 CD cord-275814-seirbkiq 353 14 and and CC cord-275814-seirbkiq 353 15 R r NN cord-275814-seirbkiq 353 16 0 0 CD cord-275814-seirbkiq 353 17 ) ) -RRB- cord-275814-seirbkiq 353 18 are be VBP cord-275814-seirbkiq 353 19 important important JJ cord-275814-seirbkiq 353 20 threshold threshold NN cord-275814-seirbkiq 353 21 values value NNS cord-275814-seirbkiq 353 22 . . . cord-275814-seirbkiq 354 1 If if IN cord-275814-seirbkiq 354 2 either either DT cord-275814-seirbkiq 354 3 r r NN cord-275814-seirbkiq 354 4 0 0 CD cord-275814-seirbkiq 354 5 41 41 CD cord-275814-seirbkiq 354 6 or or CC cord-275814-seirbkiq 354 7 R r NN cord-275814-seirbkiq 354 8 0 0 CD cord-275814-seirbkiq 354 9 41 41 CD cord-275814-seirbkiq 355 1 , , , cord-275814-seirbkiq 355 2 then then RB cord-275814-seirbkiq 355 3 the the DT cord-275814-seirbkiq 355 4 disease disease NN cord-275814-seirbkiq 355 5 - - HYPH cord-275814-seirbkiq 355 6 free free JJ cord-275814-seirbkiq 355 7 equilibrium equilibrium NN cord-275814-seirbkiq 355 8 is be VBZ cord-275814-seirbkiq 355 9 unstable unstable JJ cord-275814-seirbkiq 355 10 , , , cord-275814-seirbkiq 355 11 meaning mean VBG cord-275814-seirbkiq 355 12 the the DT cord-275814-seirbkiq 355 13 disease disease NN cord-275814-seirbkiq 355 14 will will MD cord-275814-seirbkiq 355 15 continue continue VB cord-275814-seirbkiq 355 16 to to TO cord-275814-seirbkiq 355 17 persist persist VB cord-275814-seirbkiq 355 18 within within IN cord-275814-seirbkiq 355 19 the the DT cord-275814-seirbkiq 355 20 populations population NNS cord-275814-seirbkiq 355 21 . . . cord-275814-seirbkiq 356 1 In in IN cord-275814-seirbkiq 356 2 all all PDT cord-275814-seirbkiq 356 3 the the DT cord-275814-seirbkiq 356 4 cases case NNS cord-275814-seirbkiq 356 5 considered consider VBN cord-275814-seirbkiq 356 6 , , , cord-275814-seirbkiq 356 7 although although IN cord-275814-seirbkiq 356 8 the the DT cord-275814-seirbkiq 356 9 computed compute VBN cord-275814-seirbkiq 356 10 R r NN cord-275814-seirbkiq 356 11 0 0 CD cord-275814-seirbkiq 356 12 values value NNS cord-275814-seirbkiq 356 13 are be VBP cord-275814-seirbkiq 356 14 small small JJ cord-275814-seirbkiq 356 15 ( ( -LRB- cord-275814-seirbkiq 356 16 10 10 CD cord-275814-seirbkiq 356 17 À à NN cord-275814-seirbkiq 356 18 2 2 CD cord-275814-seirbkiq 356 19 or or CC cord-275814-seirbkiq 356 20 less less JJR cord-275814-seirbkiq 356 21 ) ) -RRB- cord-275814-seirbkiq 356 22 , , , cord-275814-seirbkiq 356 23 the the DT cord-275814-seirbkiq 356 24 r r NN cord-275814-seirbkiq 356 25 0 0 CD cord-275814-seirbkiq 356 26 value value NN cord-275814-seirbkiq 356 27 is be VBZ cord-275814-seirbkiq 356 28 1.06 1.06 CD cord-275814-seirbkiq 356 29 , , , cord-275814-seirbkiq 356 30 which which WDT cord-275814-seirbkiq 356 31 suggests suggest VBZ cord-275814-seirbkiq 356 32 that that IN cord-275814-seirbkiq 356 33 the the DT cord-275814-seirbkiq 356 34 DFE DFE NNP cord-275814-seirbkiq 356 35 is be VBZ cord-275814-seirbkiq 356 36 unstable unstable JJ cord-275814-seirbkiq 356 37 ; ; : cord-275814-seirbkiq 356 38 this this DT cord-275814-seirbkiq 356 39 agrees agree VBZ cord-275814-seirbkiq 356 40 with with IN cord-275814-seirbkiq 356 41 the the DT cord-275814-seirbkiq 356 42 numerical numerical JJ cord-275814-seirbkiq 356 43 simulation simulation NN cord-275814-seirbkiq 356 44 results result NNS cord-275814-seirbkiq 356 45 . . . cord-275814-seirbkiq 357 1 The the DT cord-275814-seirbkiq 357 2 sensitivity sensitivity NN cord-275814-seirbkiq 357 3 analysis analysis NN cord-275814-seirbkiq 357 4 involving involve VBG cord-275814-seirbkiq 357 5 elasticities elasticity NNS cord-275814-seirbkiq 357 6 helps help VBZ cord-275814-seirbkiq 357 7 understand understand VB cord-275814-seirbkiq 357 8 the the DT cord-275814-seirbkiq 357 9 effects effect NNS cord-275814-seirbkiq 357 10 of of IN cord-275814-seirbkiq 357 11 various various JJ cord-275814-seirbkiq 357 12 parameters parameter NNS cord-275814-seirbkiq 357 13 on on IN cord-275814-seirbkiq 357 14 R r NN cord-275814-seirbkiq 357 15 0 0 CD cord-275814-seirbkiq 357 16 and and CC cord-275814-seirbkiq 357 17 pandemic pandemic JJ cord-275814-seirbkiq 357 18 prevalence prevalence NN cord-275814-seirbkiq 357 19 . . . cord-275814-seirbkiq 358 1 The the DT cord-275814-seirbkiq 358 2 results result NNS cord-275814-seirbkiq 358 3 show show VBP cord-275814-seirbkiq 358 4 that that IN cord-275814-seirbkiq 358 5 culling culling NN cord-275814-seirbkiq 358 6 , , , cord-275814-seirbkiq 358 7 which which WDT cord-275814-seirbkiq 358 8 increases increase VBZ cord-275814-seirbkiq 358 9 the the DT cord-275814-seirbkiq 358 10 natural natural JJ cord-275814-seirbkiq 358 11 death death NN cord-275814-seirbkiq 358 12 rate rate NN cord-275814-seirbkiq 358 13 of of IN cord-275814-seirbkiq 358 14 birds bird NNS cord-275814-seirbkiq 358 15 and and CC cord-275814-seirbkiq 358 16 significantly significantly RB cord-275814-seirbkiq 358 17 affects affect VBZ cord-275814-seirbkiq 358 18 the the DT cord-275814-seirbkiq 358 19 r r NN cord-275814-seirbkiq 358 20 0 0 CD cord-275814-seirbkiq 358 21 value value NN cord-275814-seirbkiq 358 22 , , , cord-275814-seirbkiq 358 23 is be VBZ cord-275814-seirbkiq 358 24 the the DT cord-275814-seirbkiq 358 25 most most RBS cord-275814-seirbkiq 358 26 effective effective JJ cord-275814-seirbkiq 358 27 control control NN cord-275814-seirbkiq 358 28 measure measure NN cord-275814-seirbkiq 358 29 that that WDT cord-275814-seirbkiq 358 30 can can MD cord-275814-seirbkiq 358 31 be be VB cord-275814-seirbkiq 358 32 applied apply VBN cord-275814-seirbkiq 358 33 to to IN cord-275814-seirbkiq 358 34 poultry poultry NN cord-275814-seirbkiq 358 35 . . . cord-275814-seirbkiq 359 1 Additionally additionally RB cord-275814-seirbkiq 359 2 , , , cord-275814-seirbkiq 359 3 control control NN cord-275814-seirbkiq 359 4 measures measure NNS cord-275814-seirbkiq 359 5 such such JJ cord-275814-seirbkiq 359 6 as as IN cord-275814-seirbkiq 359 7 isolation isolation NN cord-275814-seirbkiq 359 8 , , , cord-275814-seirbkiq 359 9 quarantine quarantine NN cord-275814-seirbkiq 359 10 and and CC cord-275814-seirbkiq 359 11 vaccination vaccination NN cord-275814-seirbkiq 359 12 should should MD cord-275814-seirbkiq 359 13 be be VB cord-275814-seirbkiq 359 14 applied apply VBN cord-275814-seirbkiq 359 15 to to IN cord-275814-seirbkiq 359 16 the the DT cord-275814-seirbkiq 359 17 human human JJ cord-275814-seirbkiq 359 18 population population NN cord-275814-seirbkiq 359 19 to to TO cord-275814-seirbkiq 359 20 reduce reduce VB cord-275814-seirbkiq 359 21 pandemic pandemic NN cord-275814-seirbkiq 359 22 prevalence prevalence NN cord-275814-seirbkiq 359 23 . . . cord-275814-seirbkiq 360 1 Isolation isolation NN cord-275814-seirbkiq 360 2 and and CC cord-275814-seirbkiq 360 3 quarantine quarantine NN cord-275814-seirbkiq 360 4 decrease decrease VB cord-275814-seirbkiq 360 5 the the DT cord-275814-seirbkiq 360 6 transmission transmission NN cord-275814-seirbkiq 360 7 rate rate NN cord-275814-seirbkiq 360 8 , , , cord-275814-seirbkiq 360 9 while while IN cord-275814-seirbkiq 360 10 vaccination vaccination NN cord-275814-seirbkiq 360 11 affects affect VBZ cord-275814-seirbkiq 360 12 the the DT cord-275814-seirbkiq 360 13 transmission transmission NN cord-275814-seirbkiq 360 14 rate rate NN cord-275814-seirbkiq 360 15 as as RB cord-275814-seirbkiq 360 16 well well RB cord-275814-seirbkiq 360 17 as as IN cord-275814-seirbkiq 360 18 the the DT cord-275814-seirbkiq 360 19 infectious infectious JJ cord-275814-seirbkiq 360 20 period period NN cord-275814-seirbkiq 360 21 . . . cord-275814-seirbkiq 361 1 The the DT cord-275814-seirbkiq 361 2 effectiveness effectiveness NN cord-275814-seirbkiq 361 3 of of IN cord-275814-seirbkiq 361 4 the the DT cord-275814-seirbkiq 361 5 control control NN cord-275814-seirbkiq 361 6 measures measure NNS cord-275814-seirbkiq 361 7 , , , cord-275814-seirbkiq 361 8 however however RB cord-275814-seirbkiq 361 9 , , , cord-275814-seirbkiq 361 10 depends depend VBZ cord-275814-seirbkiq 361 11 strongly strongly RB cord-275814-seirbkiq 361 12 on on IN cord-275814-seirbkiq 361 13 the the DT cord-275814-seirbkiq 361 14 air air NN cord-275814-seirbkiq 361 15 travel travel NN cord-275814-seirbkiq 361 16 rate rate NN cord-275814-seirbkiq 361 17 . . . cord-275814-seirbkiq 362 1 For for IN cord-275814-seirbkiq 362 2 instance instance NN cord-275814-seirbkiq 362 3 , , , cord-275814-seirbkiq 362 4 if if IN cord-275814-seirbkiq 362 5 the the DT cord-275814-seirbkiq 362 6 travel travel NN cord-275814-seirbkiq 362 7 rate rate NN cord-275814-seirbkiq 362 8 out out IN cord-275814-seirbkiq 362 9 of of IN cord-275814-seirbkiq 362 10 a a DT cord-275814-seirbkiq 362 11 city city NN cord-275814-seirbkiq 362 12 is be VBZ cord-275814-seirbkiq 362 13 large large JJ cord-275814-seirbkiq 362 14 ( ( -LRB- cord-275814-seirbkiq 362 15 i.e. i.e. FW cord-275814-seirbkiq 362 16 , , , cord-275814-seirbkiq 362 17 greater great JJR cord-275814-seirbkiq 362 18 than than IN cord-275814-seirbkiq 362 19 0.2 0.2 CD cord-275814-seirbkiq 362 20 ) ) -RRB- cord-275814-seirbkiq 362 21 , , , cord-275814-seirbkiq 362 22 then then RB cord-275814-seirbkiq 362 23 isolating isolate VBG cord-275814-seirbkiq 362 24 and and CC cord-275814-seirbkiq 362 25 quarantining quarantine VBG cord-275814-seirbkiq 362 26 infected infect VBN cord-275814-seirbkiq 362 27 and and CC cord-275814-seirbkiq 362 28 susceptible susceptible JJ cord-275814-seirbkiq 362 29 individuals individual NNS cord-275814-seirbkiq 362 30 are be VBP cord-275814-seirbkiq 362 31 not not RB cord-275814-seirbkiq 362 32 very very RB cord-275814-seirbkiq 362 33 effective effective JJ cord-275814-seirbkiq 362 34 at at IN cord-275814-seirbkiq 362 35 reducing reduce VBG cord-275814-seirbkiq 362 36 pandemic pandemic NN cord-275814-seirbkiq 362 37 prevalence prevalence NN cord-275814-seirbkiq 362 38 . . . cord-275814-seirbkiq 363 1 An an DT cord-275814-seirbkiq 363 2 expected expect VBN cord-275814-seirbkiq 363 3 result result NN cord-275814-seirbkiq 363 4 is be VBZ cord-275814-seirbkiq 363 5 that that IN cord-275814-seirbkiq 363 6 air air NN cord-275814-seirbkiq 363 7 travel travel NN cord-275814-seirbkiq 363 8 has have VBZ cord-275814-seirbkiq 363 9 a a DT cord-275814-seirbkiq 363 10 large large JJ cord-275814-seirbkiq 363 11 impact impact NN cord-275814-seirbkiq 363 12 on on IN cord-275814-seirbkiq 363 13 R r NN cord-275814-seirbkiq 363 14 0 0 CD cord-275814-seirbkiq 363 15 . . . cord-275814-seirbkiq 364 1 When when WRB cord-275814-seirbkiq 364 2 cities city NNS cord-275814-seirbkiq 364 3 are be VBP cord-275814-seirbkiq 364 4 not not RB cord-275814-seirbkiq 364 5 connected connect VBN cord-275814-seirbkiq 364 6 , , , cord-275814-seirbkiq 364 7 the the DT cord-275814-seirbkiq 364 8 elasticities elasticity NNS cord-275814-seirbkiq 364 9 of of IN cord-275814-seirbkiq 364 10 the the DT cord-275814-seirbkiq 364 11 reproduction reproduction NN cord-275814-seirbkiq 364 12 numbers number NNS cord-275814-seirbkiq 364 13 with with IN cord-275814-seirbkiq 364 14 respect respect NN cord-275814-seirbkiq 364 15 to to IN cord-275814-seirbkiq 364 16 recruitment recruitment NN cord-275814-seirbkiq 364 17 rates rate NNS cord-275814-seirbkiq 364 18 are be VBP cord-275814-seirbkiq 364 19 constant constant JJ cord-275814-seirbkiq 364 20 ( ( -LRB- cord-275814-seirbkiq 364 21 i.e. i.e. FW cord-275814-seirbkiq 364 22 , , , cord-275814-seirbkiq 364 23 equal equal JJ cord-275814-seirbkiq 364 24 to to IN cord-275814-seirbkiq 364 25 one one CD cord-275814-seirbkiq 364 26 ) ) -RRB- cord-275814-seirbkiq 364 27 . . . cord-275814-seirbkiq 365 1 However however RB cord-275814-seirbkiq 365 2 , , , cord-275814-seirbkiq 365 3 when when WRB cord-275814-seirbkiq 365 4 the the DT cord-275814-seirbkiq 365 5 cities city NNS cord-275814-seirbkiq 365 6 are be VBP cord-275814-seirbkiq 365 7 connected connect VBN cord-275814-seirbkiq 365 8 , , , cord-275814-seirbkiq 365 9 the the DT cord-275814-seirbkiq 365 10 elasticities elasticity NNS cord-275814-seirbkiq 365 11 are be VBP cord-275814-seirbkiq 365 12 strongly strongly RB cord-275814-seirbkiq 365 13 impacted impact VBN cord-275814-seirbkiq 365 14 by by IN cord-275814-seirbkiq 365 15 air air NN cord-275814-seirbkiq 365 16 travel travel NN cord-275814-seirbkiq 365 17 . . . cord-275814-seirbkiq 366 1 Specifically specifically RB cord-275814-seirbkiq 366 2 , , , cord-275814-seirbkiq 366 3 when when WRB cord-275814-seirbkiq 366 4 the the DT cord-275814-seirbkiq 366 5 travel travel NN cord-275814-seirbkiq 366 6 rates rate NNS cord-275814-seirbkiq 366 7 are be VBP cord-275814-seirbkiq 366 8 positive positive JJ cord-275814-seirbkiq 366 9 , , , cord-275814-seirbkiq 366 10 the the DT cord-275814-seirbkiq 366 11 reproduction reproduction NN cord-275814-seirbkiq 366 12 number number NN cord-275814-seirbkiq 366 13 for for IN cord-275814-seirbkiq 366 14 the the DT cord-275814-seirbkiq 366 15 origin origin NN cord-275814-seirbkiq 366 16 city city NN cord-275814-seirbkiq 366 17 is be VBZ cord-275814-seirbkiq 366 18 very very RB cord-275814-seirbkiq 366 19 sensitive sensitive JJ cord-275814-seirbkiq 366 20 to to IN cord-275814-seirbkiq 366 21 changes change NNS cord-275814-seirbkiq 366 22 in in IN cord-275814-seirbkiq 366 23 destination destination NN cord-275814-seirbkiq 366 24 city city NN cord-275814-seirbkiq 366 25 recruitment recruitment NN cord-275814-seirbkiq 366 26 rate rate NN cord-275814-seirbkiq 366 27 , , , cord-275814-seirbkiq 366 28 and and CC cord-275814-seirbkiq 366 29 vice vice NN cord-275814-seirbkiq 366 30 versa versa RB cord-275814-seirbkiq 366 31 . . . cord-275814-seirbkiq 367 1 Generally generally RB cord-275814-seirbkiq 367 2 , , , cord-275814-seirbkiq 367 3 the the DT cord-275814-seirbkiq 367 4 effects effect NNS cord-275814-seirbkiq 367 5 of of IN cord-275814-seirbkiq 367 6 air air NN cord-275814-seirbkiq 367 7 travel travel NN cord-275814-seirbkiq 367 8 on on IN cord-275814-seirbkiq 367 9 the the DT cord-275814-seirbkiq 367 10 elasticities elasticity NNS cord-275814-seirbkiq 367 11 are be VBP cord-275814-seirbkiq 367 12 different different JJ cord-275814-seirbkiq 367 13 for for IN cord-275814-seirbkiq 367 14 the the DT cord-275814-seirbkiq 367 15 origin origin NN cord-275814-seirbkiq 367 16 city city NN cord-275814-seirbkiq 367 17 and and CC cord-275814-seirbkiq 367 18 destination destination NN cord-275814-seirbkiq 367 19 city city NN cord-275814-seirbkiq 367 20 . . . cord-275814-seirbkiq 368 1 However however RB cord-275814-seirbkiq 368 2 , , , cord-275814-seirbkiq 368 3 upon upon IN cord-275814-seirbkiq 368 4 examining examine VBG cord-275814-seirbkiq 368 5 the the DT cord-275814-seirbkiq 368 6 effect effect NN cord-275814-seirbkiq 368 7 of of IN cord-275814-seirbkiq 368 8 the the DT cord-275814-seirbkiq 368 9 induced induce VBN cord-275814-seirbkiq 368 10 pandemic pandemic NN cord-275814-seirbkiq 368 11 death death NN cord-275814-seirbkiq 368 12 rate rate NN cord-275814-seirbkiq 368 13 , , , cord-275814-seirbkiq 368 14 we -PRON- PRP cord-275814-seirbkiq 368 15 discovered discover VBD cord-275814-seirbkiq 368 16 that that IN cord-275814-seirbkiq 368 17 when when WRB cord-275814-seirbkiq 368 18 the the DT cord-275814-seirbkiq 368 19 travel travel NN cord-275814-seirbkiq 368 20 rate rate NN cord-275814-seirbkiq 368 21 out out IN cord-275814-seirbkiq 368 22 of of IN cord-275814-seirbkiq 368 23 an an DT cord-275814-seirbkiq 368 24 origin origin NN cord-275814-seirbkiq 368 25 city city NN cord-275814-seirbkiq 368 26 is be VBZ cord-275814-seirbkiq 368 27 small small JJ cord-275814-seirbkiq 368 28 , , , cord-275814-seirbkiq 368 29 vaccination vaccination NN cord-275814-seirbkiq 368 30 and and CC cord-275814-seirbkiq 368 31 other other JJ cord-275814-seirbkiq 368 32 similar similar JJ cord-275814-seirbkiq 368 33 control control NN cord-275814-seirbkiq 368 34 measures measure NNS cord-275814-seirbkiq 368 35 in in IN cord-275814-seirbkiq 368 36 the the DT cord-275814-seirbkiq 368 37 origin origin NN cord-275814-seirbkiq 368 38 city city NN cord-275814-seirbkiq 368 39 are be VBP cord-275814-seirbkiq 368 40 ineffective ineffective JJ cord-275814-seirbkiq 368 41 , , , cord-275814-seirbkiq 368 42 but but CC cord-275814-seirbkiq 368 43 vaccination vaccination NN cord-275814-seirbkiq 368 44 in in IN cord-275814-seirbkiq 368 45 the the DT cord-275814-seirbkiq 368 46 destination destination NN cord-275814-seirbkiq 368 47 city city NN cord-275814-seirbkiq 368 48 is be VBZ cord-275814-seirbkiq 368 49 much much RB cord-275814-seirbkiq 368 50 more more RBR cord-275814-seirbkiq 368 51 effective effective JJ cord-275814-seirbkiq 368 52 . . . cord-275814-seirbkiq 369 1 Thus thus RB cord-275814-seirbkiq 369 2 , , , cord-275814-seirbkiq 369 3 combining combine VBG cord-275814-seirbkiq 369 4 disease disease NN cord-275814-seirbkiq 369 5 control control NN cord-275814-seirbkiq 369 6 measures measure NNS cord-275814-seirbkiq 369 7 and and CC cord-275814-seirbkiq 369 8 restricting restrict VBG cord-275814-seirbkiq 369 9 travel travel NN cord-275814-seirbkiq 369 10 to to IN cord-275814-seirbkiq 369 11 the the DT cord-275814-seirbkiq 369 12 appropriate appropriate JJ cord-275814-seirbkiq 369 13 cities city NNS cord-275814-seirbkiq 369 14 is be VBZ cord-275814-seirbkiq 369 15 a a DT cord-275814-seirbkiq 369 16 promising promising JJ cord-275814-seirbkiq 369 17 strategy strategy NN cord-275814-seirbkiq 369 18 for for IN cord-275814-seirbkiq 369 19 eradicating eradicate VBG cord-275814-seirbkiq 369 20 pandemic pandemic NN cord-275814-seirbkiq 369 21 avian avian JJ cord-275814-seirbkiq 369 22 influenza influenza NN cord-275814-seirbkiq 369 23 . . . cord-275814-seirbkiq 370 1 We -PRON- PRP cord-275814-seirbkiq 370 2 hope hope VBP cord-275814-seirbkiq 370 3 that that IN cord-275814-seirbkiq 370 4 this this DT cord-275814-seirbkiq 370 5 paper paper NN cord-275814-seirbkiq 370 6 will will MD cord-275814-seirbkiq 370 7 stimulate stimulate VB cord-275814-seirbkiq 370 8 renewed renew VBN cord-275814-seirbkiq 370 9 research research NN cord-275814-seirbkiq 370 10 on on IN cord-275814-seirbkiq 370 11 understanding understand VBG cord-275814-seirbkiq 370 12 the the DT cord-275814-seirbkiq 370 13 dynamics dynamic NNS cord-275814-seirbkiq 370 14 of of IN cord-275814-seirbkiq 370 15 the the DT cord-275814-seirbkiq 370 16 spread spread NN cord-275814-seirbkiq 370 17 of of IN cord-275814-seirbkiq 370 18 pandemic pandemic NN cord-275814-seirbkiq 370 19 disease disease NN cord-275814-seirbkiq 370 20 . . . cord-275814-seirbkiq 371 1 Such such JJ cord-275814-seirbkiq 371 2 research research NN cord-275814-seirbkiq 371 3 can can MD cord-275814-seirbkiq 371 4 help help VB cord-275814-seirbkiq 371 5 public public JJ cord-275814-seirbkiq 371 6 health health NN cord-275814-seirbkiq 371 7 officials official NNS cord-275814-seirbkiq 371 8 and and CC cord-275814-seirbkiq 371 9 policy policy NN cord-275814-seirbkiq 371 10 - - HYPH cord-275814-seirbkiq 371 11 makers maker NNS cord-275814-seirbkiq 371 12 select select VBP cord-275814-seirbkiq 371 13 the the DT cord-275814-seirbkiq 371 14 appropriate appropriate JJ cord-275814-seirbkiq 371 15 disease disease NN cord-275814-seirbkiq 371 16 control control NN cord-275814-seirbkiq 371 17 measures measure NNS cord-275814-seirbkiq 371 18 , , , cord-275814-seirbkiq 371 19 and and CC cord-275814-seirbkiq 371 20 also also RB cord-275814-seirbkiq 371 21 provide provide VB cord-275814-seirbkiq 371 22 valuable valuable JJ cord-275814-seirbkiq 371 23 guidance guidance NN cord-275814-seirbkiq 371 24 on on IN cord-275814-seirbkiq 371 25 where where WRB cord-275814-seirbkiq 371 26 to to TO cord-275814-seirbkiq 371 27 implement implement VB cord-275814-seirbkiq 371 28 control control NN cord-275814-seirbkiq 371 29 measures measure NNS cord-275814-seirbkiq 371 30 while while IN cord-275814-seirbkiq 371 31 conserving conserve VBG cord-275814-seirbkiq 371 32 precious precious JJ cord-275814-seirbkiq 371 33 resources resource NNS cord-275814-seirbkiq 371 34 . . . cord-275814-seirbkiq 372 1 This this DT cord-275814-seirbkiq 372 2 research research NN cord-275814-seirbkiq 372 3 was be VBD cord-275814-seirbkiq 372 4 supported support VBN cord-275814-seirbkiq 372 5 by by IN cord-275814-seirbkiq 372 6 NSF NSF NNP cord-275814-seirbkiq 372 7 Grant Grant NNP cord-275814-seirbkiq 372 8 DMS-1220342 DMS-1220342 NNP cord-275814-seirbkiq 372 9 . . . cord-275814-seirbkiq 372 10 _SP cord-275814-seirbkiq 373 1 Strategies strategy NNS cord-275814-seirbkiq 373 2 for for IN cord-275814-seirbkiq 373 3 containing contain VBG cord-275814-seirbkiq 373 4 an an DT cord-275814-seirbkiq 373 5 emerging emerge VBG cord-275814-seirbkiq 373 6 influenza influenza NN cord-275814-seirbkiq 373 7 pandemic pandemic NN cord-275814-seirbkiq 373 8 in in IN cord-275814-seirbkiq 373 9 Southeast Southeast NNP cord-275814-seirbkiq 373 10 Asia Asia NNP cord-275814-seirbkiq 373 11 Fields Fields NNP cord-275814-seirbkiq 373 12 Virology Virology NNP cord-275814-seirbkiq 373 13 , , , cord-275814-seirbkiq 373 14 Lippincott Lippincott NNP cord-275814-seirbkiq 373 15 - - HYPH cord-275814-seirbkiq 373 16 Raven Raven NNP cord-275814-seirbkiq 373 17 Food Food NNP cord-275814-seirbkiq 373 18 and and CC cord-275814-seirbkiq 373 19 Agriculture Agriculture NNP cord-275814-seirbkiq 373 20 Organization Organization NNP cord-275814-seirbkiq 373 21 Mitigation Mitigation NNP cord-275814-seirbkiq 373 22 strategies strategy NNS cord-275814-seirbkiq 373 23 for for IN cord-275814-seirbkiq 373 24 pandemic pandemic NN cord-275814-seirbkiq 373 25 influenza influenza NN cord-275814-seirbkiq 373 26 in in IN cord-275814-seirbkiq 373 27 the the DT cord-275814-seirbkiq 373 28 United United NNP cord-275814-seirbkiq 373 29 States States NNP cord-275814-seirbkiq 373 30 Assessing assess VBG cord-275814-seirbkiq 373 31 the the DT cord-275814-seirbkiq 373 32 impact impact NN cord-275814-seirbkiq 373 33 of of IN cord-275814-seirbkiq 373 34 airline airline NN cord-275814-seirbkiq 373 35 travel travel NN cord-275814-seirbkiq 373 36 on on IN cord-275814-seirbkiq 373 37 the the DT cord-275814-seirbkiq 373 38 geographic geographic JJ cord-275814-seirbkiq 373 39 spread spread NN cord-275814-seirbkiq 373 40 of of IN cord-275814-seirbkiq 373 41 pandemic pandemic NN cord-275814-seirbkiq 373 42 influenza influenza NN cord-275814-seirbkiq 373 43 Prevention Prevention NNP cord-275814-seirbkiq 373 44 of of IN cord-275814-seirbkiq 373 45 avian avian JJ cord-275814-seirbkiq 373 46 influenza influenza NN cord-275814-seirbkiq 373 47 epidemic epidemic NN cord-275814-seirbkiq 374 1 : : : cord-275814-seirbkiq 374 2 What what WDT cord-275814-seirbkiq 374 3 policy policy NN cord-275814-seirbkiq 374 4 should should MD cord-275814-seirbkiq 374 5 we -PRON- PRP cord-275814-seirbkiq 374 6 choose choose VB cord-275814-seirbkiq 374 7 Avian avian JJ cord-275814-seirbkiq 374 8 - - HYPH cord-275814-seirbkiq 374 9 human human JJ cord-275814-seirbkiq 374 10 influenza influenza NN cord-275814-seirbkiq 374 11 epidemic epidemic NN cord-275814-seirbkiq 374 12 model model NN cord-275814-seirbkiq 375 1 Avian avian JJ cord-275814-seirbkiq 375 2 flu flu NN cord-275814-seirbkiq 375 3 pandemic pandemic NN cord-275814-seirbkiq 376 1 : : : cord-275814-seirbkiq 376 2 Can Can MD cord-275814-seirbkiq 376 3 we -PRON- PRP cord-275814-seirbkiq 376 4 prevent prevent VB cord-275814-seirbkiq 376 5 it -PRON- PRP cord-275814-seirbkiq 376 6 Avian avian JJ cord-275814-seirbkiq 376 7 - - HYPH cord-275814-seirbkiq 376 8 human human JJ cord-275814-seirbkiq 376 9 influenza influenza NN cord-275814-seirbkiq 376 10 epidemic epidemic NN cord-275814-seirbkiq 376 11 model model NN cord-275814-seirbkiq 376 12 with with IN cord-275814-seirbkiq 376 13 diffusion diffusion NN cord-275814-seirbkiq 376 14 Containing contain VBG cord-275814-seirbkiq 376 15 pandemic pandemic NN cord-275814-seirbkiq 376 16 influenza influenza NN cord-275814-seirbkiq 376 17 at at IN cord-275814-seirbkiq 376 18 the the DT cord-275814-seirbkiq 376 19 source source NN cord-275814-seirbkiq 377 1 An an DT cord-275814-seirbkiq 377 2 avian avian JJ cord-275814-seirbkiq 377 3 influenza influenza NN cord-275814-seirbkiq 377 4 model model NN cord-275814-seirbkiq 377 5 and and CC cord-275814-seirbkiq 377 6 its -PRON- PRP$ cord-275814-seirbkiq 377 7 fit fit NN cord-275814-seirbkiq 377 8 to to IN cord-275814-seirbkiq 377 9 human human JJ cord-275814-seirbkiq 377 10 avian avian JJ cord-275814-seirbkiq 377 11 influenza influenza NN cord-275814-seirbkiq 377 12 cases case VBZ cord-275814-seirbkiq 377 13 Avian avian JJ cord-275814-seirbkiq 377 14 flu flu NN cord-275814-seirbkiq 377 15 : : : cord-275814-seirbkiq 377 16 Modeling modeling NN cord-275814-seirbkiq 377 17 and and CC cord-275814-seirbkiq 377 18 implications implication NNS cord-275814-seirbkiq 377 19 for for IN cord-275814-seirbkiq 377 20 control control NN cord-275814-seirbkiq 377 21 Pandemic Pandemic NNP cord-275814-seirbkiq 377 22 influenza influenza NN cord-275814-seirbkiq 377 23 : : : cord-275814-seirbkiq 377 24 risk risk NN cord-275814-seirbkiq 377 25 of of IN cord-275814-seirbkiq 377 26 multiple multiple JJ cord-275814-seirbkiq 377 27 introductions introduction NNS cord-275814-seirbkiq 377 28 and and CC cord-275814-seirbkiq 377 29 the the DT cord-275814-seirbkiq 377 30 need need NN cord-275814-seirbkiq 377 31 to to TO cord-275814-seirbkiq 377 32 prepare prepare VB cord-275814-seirbkiq 377 33 for for IN cord-275814-seirbkiq 377 34 them -PRON- PRP cord-275814-seirbkiq 377 35 The the DT cord-275814-seirbkiq 377 36 effect effect NN cord-275814-seirbkiq 377 37 of of IN cord-275814-seirbkiq 377 38 global global JJ cord-275814-seirbkiq 377 39 travel travel NN cord-275814-seirbkiq 377 40 on on IN cord-275814-seirbkiq 377 41 the the DT cord-275814-seirbkiq 377 42 spread spread NN cord-275814-seirbkiq 377 43 of of IN cord-275814-seirbkiq 377 44 SARS SARS NNP cord-275814-seirbkiq 377 45 Modeling model VBG cord-275814-seirbkiq 377 46 seasonality seasonality NN cord-275814-seirbkiq 377 47 in in IN cord-275814-seirbkiq 377 48 avian avian JJ cord-275814-seirbkiq 377 49 influenza influenza NN cord-275814-seirbkiq 377 50 H5N1 H5N1 NNP cord-275814-seirbkiq 377 51 Reproduction Reproduction NNP cord-275814-seirbkiq 377 52 numbers number NNS cord-275814-seirbkiq 377 53 and and CC cord-275814-seirbkiq 377 54 sub sub NN cord-275814-seirbkiq 377 55 - - JJ cord-275814-seirbkiq 377 56 threshold threshold JJ cord-275814-seirbkiq 377 57 endemic endemic JJ cord-275814-seirbkiq 377 58 equilibria equilibrium NNS cord-275814-seirbkiq 377 59 for for IN cord-275814-seirbkiq 377 60 compartmental compartmental JJ cord-275814-seirbkiq 377 61 models model NNS cord-275814-seirbkiq 377 62 of of IN cord-275814-seirbkiq 377 63 disease disease NN cord-275814-seirbkiq 377 64 transmission transmission NN cord-275814-seirbkiq 377 65 World World NNP cord-275814-seirbkiq 377 66 Health Health NNP cord-275814-seirbkiq 377 67 Organization Organization NNP cord-275814-seirbkiq 377 68 , , , cord-275814-seirbkiq 377 69 Influenza Influenza NNP cord-275814-seirbkiq 377 70 at at IN cord-275814-seirbkiq 377 71 the the DT cord-275814-seirbkiq 377 72 Human Human NNP cord-275814-seirbkiq 377 73 - - HYPH cord-275814-seirbkiq 377 74 Animal Animal NNP cord-275814-seirbkiq 377 75 Interface Interface NNP cord-275814-seirbkiq 377 76 World World NNP cord-275814-seirbkiq 377 77 Health Health NNP cord-275814-seirbkiq 377 78 Organization Organization NNP cord-275814-seirbkiq 377 79 , , , cord-275814-seirbkiq 377 80 Influenza Influenza NNP cord-275814-seirbkiq 377 81 at at IN cord-275814-seirbkiq 377 82 the the DT cord-275814-seirbkiq 377 83 Human Human NNP cord-275814-seirbkiq 377 84 - - HYPH cord-275814-seirbkiq 377 85 Animal Animal NNP cord-275814-seirbkiq 377 86 Interface Interface NNP cord-275814-seirbkiq 377 87 , , , cord-275814-seirbkiq 377 88 Summary Summary NNP cord-275814-seirbkiq 377 89 and and CC cord-275814-seirbkiq 377 90 Assessment Assessment NNP cord-275814-seirbkiq 377 91 as as IN cord-275814-seirbkiq 377 92 of of IN cord-275814-seirbkiq 377 93 World World NNP cord-275814-seirbkiq 377 94 Health Health NNP cord-275814-seirbkiq 377 95 Organization Organization NNP cord-275814-seirbkiq 377 96 , , , cord-275814-seirbkiq 377 97 Overview Overview NNP cord-275814-seirbkiq 377 98 of of IN cord-275814-seirbkiq 377 99 the the DT cord-275814-seirbkiq 377 100 Emergence Emergence NNP cord-275814-seirbkiq 377 101 of of IN cord-275814-seirbkiq 377 102 and and CC cord-275814-seirbkiq 377 103 Characteristics characteristic NNS cord-275814-seirbkiq 377 104 of of IN cord-275814-seirbkiq 377 105 the the DT cord-275814-seirbkiq 377 106 Avian Avian NNP cord-275814-seirbkiq 377 107 Influenza Influenza NNP cord-275814-seirbkiq 377 108 A A NNP cord-275814-seirbkiq 377 109 ( ( -LRB- cord-275814-seirbkiq 377 110 H7N9 H7N9 NNP cord-275814-seirbkiq 377 111 ) ) -RRB- cord-275814-seirbkiq 377 112 virus virus NN