id sid tid token lemma pos cord-331771-fhy98qt4 1 1 key key JJ cord-331771-fhy98qt4 2 1 : : : cord-331771-fhy98qt4 2 2 cord-331771-fhy98qt4 cord-331771-fhy98qt4 JJ cord-331771-fhy98qt4 2 3 authors author NNS cord-331771-fhy98qt4 2 4 : : : cord-331771-fhy98qt4 2 5 Huang Huang NNP cord-331771-fhy98qt4 2 6 , , , cord-331771-fhy98qt4 2 7 He -PRON- PRP cord-331771-fhy98qt4 2 8 ; ; : cord-331771-fhy98qt4 2 9 Chen Chen NNP cord-331771-fhy98qt4 2 10 , , , cord-331771-fhy98qt4 2 11 Yahong Yahong NNP cord-331771-fhy98qt4 2 12 ; ; : cord-331771-fhy98qt4 2 13 Ma Ma NNP cord-331771-fhy98qt4 2 14 , , , cord-331771-fhy98qt4 2 15 Yefeng Yefeng NNP cord-331771-fhy98qt4 2 16 title title NN cord-331771-fhy98qt4 2 17 : : : cord-331771-fhy98qt4 2 18 Modeling model VBG cord-331771-fhy98qt4 2 19 the the DT cord-331771-fhy98qt4 2 20 competitive competitive JJ cord-331771-fhy98qt4 2 21 diffusions diffusion NNS cord-331771-fhy98qt4 2 22 of of IN cord-331771-fhy98qt4 2 23 rumor rumor NN cord-331771-fhy98qt4 2 24 and and CC cord-331771-fhy98qt4 2 25 knowledge knowledge NN cord-331771-fhy98qt4 2 26 and and CC cord-331771-fhy98qt4 2 27 the the DT cord-331771-fhy98qt4 2 28 impacts impact NNS cord-331771-fhy98qt4 2 29 on on IN cord-331771-fhy98qt4 2 30 epidemic epidemic NN cord-331771-fhy98qt4 2 31 spreading spread VBG cord-331771-fhy98qt4 2 32 date date NN cord-331771-fhy98qt4 2 33 : : : cord-331771-fhy98qt4 2 34 2021 2021 CD cord-331771-fhy98qt4 2 35 - - HYPH cord-331771-fhy98qt4 2 36 01 01 CD cord-331771-fhy98qt4 2 37 - - HYPH cord-331771-fhy98qt4 2 38 01 01 CD cord-331771-fhy98qt4 2 39 journal journal NN cord-331771-fhy98qt4 2 40 : : : cord-331771-fhy98qt4 3 1 Appl Appl NNP cord-331771-fhy98qt4 3 2 Math Math NNP cord-331771-fhy98qt4 3 3 Comput Comput NNP cord-331771-fhy98qt4 3 4 DOI DOI NNP cord-331771-fhy98qt4 3 5 : : : cord-331771-fhy98qt4 3 6 10.1016 10.1016 CD cord-331771-fhy98qt4 3 7 / / SYM cord-331771-fhy98qt4 3 8 j.amc.2020.125536 j.amc.2020.125536 NN cord-331771-fhy98qt4 3 9 sha sha NNP cord-331771-fhy98qt4 3 10 : : : cord-331771-fhy98qt4 3 11 7dae3b9e6d45cf9bb37bb19bedfa7a5566f684a3 7dae3b9e6d45cf9bb37bb19bedfa7a5566f684a3 CD cord-331771-fhy98qt4 3 12 doc_id doc_id CD cord-331771-fhy98qt4 3 13 : : : cord-331771-fhy98qt4 4 1 331771 331771 CD cord-331771-fhy98qt4 4 2 cord_uid cord_uid NN cord-331771-fhy98qt4 4 3 : : : cord-331771-fhy98qt4 5 1 fhy98qt4 fhy98qt4 NNP cord-331771-fhy98qt4 6 1 The the DT cord-331771-fhy98qt4 6 2 interaction interaction NN cord-331771-fhy98qt4 6 3 between between IN cord-331771-fhy98qt4 6 4 epidemic epidemic NN cord-331771-fhy98qt4 6 5 spreading spreading NN cord-331771-fhy98qt4 6 6 and and CC cord-331771-fhy98qt4 6 7 information information NN cord-331771-fhy98qt4 6 8 diffusion diffusion NN cord-331771-fhy98qt4 6 9 is be VBZ cord-331771-fhy98qt4 6 10 an an DT cord-331771-fhy98qt4 6 11 interdisciplinary interdisciplinary JJ cord-331771-fhy98qt4 6 12 research research NN cord-331771-fhy98qt4 6 13 problem problem NN cord-331771-fhy98qt4 6 14 . . . cord-331771-fhy98qt4 7 1 During during IN cord-331771-fhy98qt4 7 2 an an DT cord-331771-fhy98qt4 7 3 epidemic epidemic NN cord-331771-fhy98qt4 7 4 , , , cord-331771-fhy98qt4 7 5 people people NNS cord-331771-fhy98qt4 7 6 tend tend VBP cord-331771-fhy98qt4 7 7 to to TO cord-331771-fhy98qt4 7 8 take take VB cord-331771-fhy98qt4 7 9 self self NN cord-331771-fhy98qt4 7 10 - - HYPH cord-331771-fhy98qt4 7 11 protective protective JJ cord-331771-fhy98qt4 7 12 measures measure NNS cord-331771-fhy98qt4 7 13 to to TO cord-331771-fhy98qt4 7 14 reduce reduce VB cord-331771-fhy98qt4 7 15 the the DT cord-331771-fhy98qt4 7 16 infection infection NN cord-331771-fhy98qt4 7 17 risk risk NN cord-331771-fhy98qt4 7 18 . . . cord-331771-fhy98qt4 8 1 However however RB cord-331771-fhy98qt4 8 2 , , , cord-331771-fhy98qt4 8 3 with with IN cord-331771-fhy98qt4 8 4 the the DT cord-331771-fhy98qt4 8 5 diffusion diffusion NN cord-331771-fhy98qt4 8 6 of of IN cord-331771-fhy98qt4 8 7 rumor rumor NN cord-331771-fhy98qt4 8 8 , , , cord-331771-fhy98qt4 8 9 people people NNS cord-331771-fhy98qt4 8 10 may may MD cord-331771-fhy98qt4 8 11 be be VB cord-331771-fhy98qt4 8 12 difficult difficult JJ cord-331771-fhy98qt4 8 13 to to TO cord-331771-fhy98qt4 8 14 make make VB cord-331771-fhy98qt4 8 15 an an DT cord-331771-fhy98qt4 8 16 appropriate appropriate JJ cord-331771-fhy98qt4 8 17 choice choice NN cord-331771-fhy98qt4 8 18 . . . cord-331771-fhy98qt4 9 1 How how WRB cord-331771-fhy98qt4 9 2 to to TO cord-331771-fhy98qt4 9 3 reduce reduce VB cord-331771-fhy98qt4 9 4 the the DT cord-331771-fhy98qt4 9 5 negative negative JJ cord-331771-fhy98qt4 9 6 impact impact NN cord-331771-fhy98qt4 9 7 of of IN cord-331771-fhy98qt4 9 8 rumor rumor NN cord-331771-fhy98qt4 9 9 and and CC cord-331771-fhy98qt4 9 10 to to TO cord-331771-fhy98qt4 9 11 control control VB cord-331771-fhy98qt4 9 12 epidemic epidemic NN cord-331771-fhy98qt4 9 13 has have VBZ cord-331771-fhy98qt4 9 14 become become VBN cord-331771-fhy98qt4 9 15 a a DT cord-331771-fhy98qt4 9 16 critical critical JJ cord-331771-fhy98qt4 9 17 issue issue NN cord-331771-fhy98qt4 9 18 in in IN cord-331771-fhy98qt4 9 19 the the DT cord-331771-fhy98qt4 9 20 social social JJ cord-331771-fhy98qt4 9 21 network network NN cord-331771-fhy98qt4 9 22 . . . cord-331771-fhy98qt4 10 1 Elaborate elaborate JJ cord-331771-fhy98qt4 10 2 mathematical mathematical JJ cord-331771-fhy98qt4 10 3 model model NN cord-331771-fhy98qt4 10 4 is be VBZ cord-331771-fhy98qt4 10 5 instructive instructive JJ cord-331771-fhy98qt4 10 6 to to TO cord-331771-fhy98qt4 10 7 understand understand VB cord-331771-fhy98qt4 10 8 such such JJ cord-331771-fhy98qt4 10 9 complex complex JJ cord-331771-fhy98qt4 10 10 dynamics dynamic NNS cord-331771-fhy98qt4 10 11 . . . cord-331771-fhy98qt4 11 1 In in IN cord-331771-fhy98qt4 11 2 this this DT cord-331771-fhy98qt4 11 3 paper paper NN cord-331771-fhy98qt4 11 4 , , , cord-331771-fhy98qt4 11 5 we -PRON- PRP cord-331771-fhy98qt4 11 6 develop develop VBP cord-331771-fhy98qt4 11 7 a a DT cord-331771-fhy98qt4 11 8 two two CD cord-331771-fhy98qt4 11 9 - - HYPH cord-331771-fhy98qt4 11 10 layer layer NN cord-331771-fhy98qt4 11 11 network network NN cord-331771-fhy98qt4 11 12 to to TO cord-331771-fhy98qt4 11 13 model model VB cord-331771-fhy98qt4 11 14 the the DT cord-331771-fhy98qt4 11 15 interaction interaction NN cord-331771-fhy98qt4 11 16 between between IN cord-331771-fhy98qt4 11 17 the the DT cord-331771-fhy98qt4 11 18 spread spread NN cord-331771-fhy98qt4 11 19 of of IN cord-331771-fhy98qt4 11 20 epidemic epidemic NN cord-331771-fhy98qt4 11 21 and and CC cord-331771-fhy98qt4 11 22 the the DT cord-331771-fhy98qt4 11 23 competitive competitive JJ cord-331771-fhy98qt4 11 24 diffusions diffusion NNS cord-331771-fhy98qt4 11 25 of of IN cord-331771-fhy98qt4 11 26 information information NN cord-331771-fhy98qt4 11 27 . . . cord-331771-fhy98qt4 12 1 The the DT cord-331771-fhy98qt4 12 2 results result NNS cord-331771-fhy98qt4 12 3 show show VBP cord-331771-fhy98qt4 12 4 that that IN cord-331771-fhy98qt4 12 5 knowledge knowledge NN cord-331771-fhy98qt4 12 6 diffusion diffusion NN cord-331771-fhy98qt4 12 7 can can MD cord-331771-fhy98qt4 12 8 eradicate eradicate VB cord-331771-fhy98qt4 12 9 both both DT cord-331771-fhy98qt4 12 10 rumor rumor NN cord-331771-fhy98qt4 12 11 and and CC cord-331771-fhy98qt4 12 12 epidemic epidemic NN cord-331771-fhy98qt4 12 13 , , , cord-331771-fhy98qt4 12 14 where where WRB cord-331771-fhy98qt4 12 15 the the DT cord-331771-fhy98qt4 12 16 penetration penetration NN cord-331771-fhy98qt4 12 17 intensity intensity NN cord-331771-fhy98qt4 12 18 of of IN cord-331771-fhy98qt4 12 19 knowledge knowledge NN cord-331771-fhy98qt4 12 20 into into IN cord-331771-fhy98qt4 12 21 rumor rumor NN cord-331771-fhy98qt4 12 22 plays play VBZ cord-331771-fhy98qt4 12 23 a a DT cord-331771-fhy98qt4 12 24 vital vital JJ cord-331771-fhy98qt4 12 25 role role NN cord-331771-fhy98qt4 12 26 . . . cord-331771-fhy98qt4 13 1 Specifically specifically RB cord-331771-fhy98qt4 13 2 , , , cord-331771-fhy98qt4 13 3 the the DT cord-331771-fhy98qt4 13 4 penetration penetration NN cord-331771-fhy98qt4 13 5 intensity intensity NN cord-331771-fhy98qt4 13 6 of of IN cord-331771-fhy98qt4 13 7 knowledge knowledge NN cord-331771-fhy98qt4 13 8 significantly significantly RB cord-331771-fhy98qt4 13 9 increases increase VBZ cord-331771-fhy98qt4 13 10 the the DT cord-331771-fhy98qt4 13 11 thresholds threshold NNS cord-331771-fhy98qt4 13 12 for for IN cord-331771-fhy98qt4 13 13 rumor rumor NN cord-331771-fhy98qt4 13 14 and and CC cord-331771-fhy98qt4 13 15 epidemic epidemic NN cord-331771-fhy98qt4 13 16 to to TO cord-331771-fhy98qt4 13 17 break break VB cord-331771-fhy98qt4 13 18 out out RP cord-331771-fhy98qt4 13 19 , , , cord-331771-fhy98qt4 13 20 even even RB cord-331771-fhy98qt4 13 21 when when WRB cord-331771-fhy98qt4 13 22 the the DT cord-331771-fhy98qt4 13 23 self self NN cord-331771-fhy98qt4 13 24 - - HYPH cord-331771-fhy98qt4 13 25 protective protective JJ cord-331771-fhy98qt4 13 26 measure measure NN cord-331771-fhy98qt4 13 27 is be VBZ cord-331771-fhy98qt4 13 28 not not RB cord-331771-fhy98qt4 13 29 perfectly perfectly RB cord-331771-fhy98qt4 13 30 effective effective JJ cord-331771-fhy98qt4 13 31 . . . cord-331771-fhy98qt4 14 1 But but CC cord-331771-fhy98qt4 14 2 eradicating eradicate VBG cord-331771-fhy98qt4 14 3 rumor rumor NN cord-331771-fhy98qt4 14 4 should should MD cord-331771-fhy98qt4 14 5 n’t not RB cord-331771-fhy98qt4 14 6 be be VB cord-331771-fhy98qt4 14 7 equated equate VBN cord-331771-fhy98qt4 14 8 with with IN cord-331771-fhy98qt4 14 9 eradicating eradicate VBG cord-331771-fhy98qt4 14 10 epidemic epidemic NN cord-331771-fhy98qt4 14 11 . . . cord-331771-fhy98qt4 15 1 The the DT cord-331771-fhy98qt4 15 2 epidemic epidemic NN cord-331771-fhy98qt4 15 3 can can MD cord-331771-fhy98qt4 15 4 be be VB cord-331771-fhy98qt4 15 5 eradicated eradicate VBN cord-331771-fhy98qt4 15 6 with with IN cord-331771-fhy98qt4 15 7 rumor rumor NN cord-331771-fhy98qt4 15 8 still still RB cord-331771-fhy98qt4 15 9 diffusing diffuse VBG cord-331771-fhy98qt4 15 10 , , , cord-331771-fhy98qt4 15 11 and and CC cord-331771-fhy98qt4 15 12 the the DT cord-331771-fhy98qt4 15 13 epidemic epidemic NN cord-331771-fhy98qt4 15 14 may may MD cord-331771-fhy98qt4 15 15 keep keep VB cord-331771-fhy98qt4 15 16 spreading spread VBG cord-331771-fhy98qt4 15 17 with with IN cord-331771-fhy98qt4 15 18 rumor rumor NN cord-331771-fhy98qt4 15 19 being be VBG cord-331771-fhy98qt4 15 20 eradicated eradicate VBN cord-331771-fhy98qt4 15 21 . . . cord-331771-fhy98qt4 16 1 Moreover moreover RB cord-331771-fhy98qt4 16 2 , , , cord-331771-fhy98qt4 16 3 the the DT cord-331771-fhy98qt4 16 4 communication communication NN cord-331771-fhy98qt4 16 5 - - HYPH cord-331771-fhy98qt4 16 6 layer layer NN cord-331771-fhy98qt4 16 7 network network NN cord-331771-fhy98qt4 16 8 structure structure NN cord-331771-fhy98qt4 16 9 greatly greatly RB cord-331771-fhy98qt4 16 10 affects affect VBZ cord-331771-fhy98qt4 16 11 the the DT cord-331771-fhy98qt4 16 12 spread spread NN cord-331771-fhy98qt4 16 13 of of IN cord-331771-fhy98qt4 16 14 epidemic epidemic NN cord-331771-fhy98qt4 16 15 in in IN cord-331771-fhy98qt4 16 16 the the DT cord-331771-fhy98qt4 16 17 contact contact NN cord-331771-fhy98qt4 16 18 - - HYPH cord-331771-fhy98qt4 16 19 layer layer NN cord-331771-fhy98qt4 16 20 network network NN cord-331771-fhy98qt4 16 21 . . . cord-331771-fhy98qt4 17 1 When when WRB cord-331771-fhy98qt4 17 2 people people NNS cord-331771-fhy98qt4 17 3 have have VBP cord-331771-fhy98qt4 17 4 more more JJR cord-331771-fhy98qt4 17 5 connections connection NNS cord-331771-fhy98qt4 17 6 in in IN cord-331771-fhy98qt4 17 7 the the DT cord-331771-fhy98qt4 17 8 communication communication NN cord-331771-fhy98qt4 17 9 - - HYPH cord-331771-fhy98qt4 17 10 layer layer NN cord-331771-fhy98qt4 17 11 network network NN cord-331771-fhy98qt4 17 12 , , , cord-331771-fhy98qt4 17 13 the the DT cord-331771-fhy98qt4 17 14 knowledge knowledge NN cord-331771-fhy98qt4 17 15 is be VBZ cord-331771-fhy98qt4 17 16 more more RBR cord-331771-fhy98qt4 17 17 likely likely JJ cord-331771-fhy98qt4 17 18 to to TO cord-331771-fhy98qt4 17 19 diffuse diffuse VB cord-331771-fhy98qt4 17 20 widely widely RB cord-331771-fhy98qt4 17 21 , , , cord-331771-fhy98qt4 17 22 and and CC cord-331771-fhy98qt4 17 23 the the DT cord-331771-fhy98qt4 17 24 rumor rumor NN cord-331771-fhy98qt4 17 25 and and CC cord-331771-fhy98qt4 17 26 epidemic epidemic NN cord-331771-fhy98qt4 17 27 can can MD cord-331771-fhy98qt4 17 28 be be VB cord-331771-fhy98qt4 17 29 eradicated eradicate VBN cord-331771-fhy98qt4 17 30 more more RBR cord-331771-fhy98qt4 17 31 efficiently efficiently RB cord-331771-fhy98qt4 17 32 . . . cord-331771-fhy98qt4 18 1 When when WRB cord-331771-fhy98qt4 18 2 the the DT cord-331771-fhy98qt4 18 3 communication communication NN cord-331771-fhy98qt4 18 4 - - HYPH cord-331771-fhy98qt4 18 5 layer layer NN cord-331771-fhy98qt4 18 6 network network NN cord-331771-fhy98qt4 18 7 is be VBZ cord-331771-fhy98qt4 18 8 sparse sparse JJ cord-331771-fhy98qt4 18 9 , , , cord-331771-fhy98qt4 18 10 a a DT cord-331771-fhy98qt4 18 11 larger large JJR cord-331771-fhy98qt4 18 12 penetration penetration NN cord-331771-fhy98qt4 18 13 intensity intensity NN cord-331771-fhy98qt4 18 14 of of IN cord-331771-fhy98qt4 18 15 knowledge knowledge NN cord-331771-fhy98qt4 18 16 into into IN cord-331771-fhy98qt4 18 17 rumor rumor NN cord-331771-fhy98qt4 18 18 is be VBZ cord-331771-fhy98qt4 18 19 required require VBN cord-331771-fhy98qt4 18 20 to to TO cord-331771-fhy98qt4 18 21 promote promote VB cord-331771-fhy98qt4 18 22 the the DT cord-331771-fhy98qt4 18 23 diffusion diffusion NN cord-331771-fhy98qt4 18 24 of of IN cord-331771-fhy98qt4 18 25 knowledge knowledge NN cord-331771-fhy98qt4 18 26 . . . cord-331771-fhy98qt4 19 1 Epidemics epidemic NNS cord-331771-fhy98qt4 19 2 continue continue VBP cord-331771-fhy98qt4 19 3 to to TO cord-331771-fhy98qt4 19 4 trigger trigger VB cord-331771-fhy98qt4 19 5 world world NN cord-331771-fhy98qt4 19 6 alarms alarm NNS cord-331771-fhy98qt4 19 7 in in IN cord-331771-fhy98qt4 19 8 recent recent JJ cord-331771-fhy98qt4 19 9 decades decade NNS cord-331771-fhy98qt4 19 10 [ [ -LRB- cord-331771-fhy98qt4 19 11 1 1 CD cord-331771-fhy98qt4 19 12 , , , cord-331771-fhy98qt4 19 13 2 2 CD cord-331771-fhy98qt4 19 14 ] ] -RRB- cord-331771-fhy98qt4 19 15 , , , cord-331771-fhy98qt4 19 16 and and CC cord-331771-fhy98qt4 19 17 have have VBP cord-331771-fhy98qt4 19 18 become become VBN cord-331771-fhy98qt4 19 19 a a DT cord-331771-fhy98qt4 19 20 serious serious JJ cord-331771-fhy98qt4 19 21 threat threat NN cord-331771-fhy98qt4 19 22 to to IN cord-331771-fhy98qt4 19 23 human human JJ cord-331771-fhy98qt4 19 24 health health NN cord-331771-fhy98qt4 19 25 [ [ -LRB- cord-331771-fhy98qt4 19 26 3 3 CD cord-331771-fhy98qt4 19 27 ] ] -RRB- cord-331771-fhy98qt4 19 28 [ [ -LRB- cord-331771-fhy98qt4 19 29 4 4 CD cord-331771-fhy98qt4 19 30 ] ] -RRB- cord-331771-fhy98qt4 19 31 [ [ -LRB- cord-331771-fhy98qt4 19 32 5 5 CD cord-331771-fhy98qt4 19 33 ] ] -RRB- cord-331771-fhy98qt4 19 34 . . . cord-331771-fhy98qt4 20 1 Currently currently RB cord-331771-fhy98qt4 20 2 , , , cord-331771-fhy98qt4 20 3 a a DT cord-331771-fhy98qt4 20 4 new new JJ cord-331771-fhy98qt4 20 5 type type NN cord-331771-fhy98qt4 20 6 of of IN cord-331771-fhy98qt4 20 7 coronavirus coronavirus NN cord-331771-fhy98qt4 20 8 ( ( -LRB- cord-331771-fhy98qt4 20 9 COVID-19 COVID-19 NNP cord-331771-fhy98qt4 20 10 ) ) -RRB- cord-331771-fhy98qt4 20 11 is be VBZ cord-331771-fhy98qt4 20 12 circulating circulate VBG cord-331771-fhy98qt4 20 13 worldwide worldwide RB cord-331771-fhy98qt4 20 14 [ [ -LRB- cord-331771-fhy98qt4 20 15 6 6 CD cord-331771-fhy98qt4 20 16 ] ] -RRB- cord-331771-fhy98qt4 20 17 , , , cord-331771-fhy98qt4 20 18 and and CC cord-331771-fhy98qt4 20 19 its -PRON- PRP$ cord-331771-fhy98qt4 20 20 plateaus plateaus NN cord-331771-fhy98qt4 20 21 has have VBZ cord-331771-fhy98qt4 20 22 n't not RB cord-331771-fhy98qt4 20 23 been be VBN cord-331771-fhy98qt4 20 24 reached reach VBN cord-331771-fhy98qt4 20 25 up up RP cord-331771-fhy98qt4 20 26 to to IN cord-331771-fhy98qt4 20 27 the the DT cord-331771-fhy98qt4 20 28 time time NN cord-331771-fhy98qt4 20 29 of of IN cord-331771-fhy98qt4 20 30 writing write VBG cord-331771-fhy98qt4 20 31 this this DT cord-331771-fhy98qt4 20 32 manuscript manuscript NN cord-331771-fhy98qt4 20 33 [ [ -LRB- cord-331771-fhy98qt4 20 34 7 7 CD cord-331771-fhy98qt4 20 35 ] ] -RRB- cord-331771-fhy98qt4 20 36 . . . cord-331771-fhy98qt4 21 1 However however RB cord-331771-fhy98qt4 21 2 , , , cord-331771-fhy98qt4 21 3 the the DT cord-331771-fhy98qt4 21 4 world world NN cord-331771-fhy98qt4 21 5 is be VBZ cord-331771-fhy98qt4 21 6 still still RB cord-331771-fhy98qt4 21 7 not not RB cord-331771-fhy98qt4 21 8 fully fully RB cord-331771-fhy98qt4 21 9 prepared prepared JJ cord-331771-fhy98qt4 21 10 for for IN cord-331771-fhy98qt4 21 11 the the DT cord-331771-fhy98qt4 21 12 outbreak outbreak NN cord-331771-fhy98qt4 21 13 of of IN cord-331771-fhy98qt4 21 14 an an DT cord-331771-fhy98qt4 21 15 epidemic epidemic NN cord-331771-fhy98qt4 21 16 [ [ -LRB- cord-331771-fhy98qt4 21 17 8 8 CD cord-331771-fhy98qt4 21 18 ] ] -RRB- cord-331771-fhy98qt4 21 19 . . . cord-331771-fhy98qt4 22 1 There there EX cord-331771-fhy98qt4 22 2 are be VBP cord-331771-fhy98qt4 22 3 many many JJ cord-331771-fhy98qt4 22 4 reasons reason NNS cord-331771-fhy98qt4 22 5 behind behind IN cord-331771-fhy98qt4 22 6 this this DT cord-331771-fhy98qt4 22 7 , , , cord-331771-fhy98qt4 22 8 including include VBG cord-331771-fhy98qt4 22 9 the the DT cord-331771-fhy98qt4 22 10 widespread widespread JJ cord-331771-fhy98qt4 22 11 presence presence NN cord-331771-fhy98qt4 22 12 of of IN cord-331771-fhy98qt4 22 13 viral viral JJ cord-331771-fhy98qt4 22 14 vectors vector NNS cord-331771-fhy98qt4 22 15 ( ( -LRB- cord-331771-fhy98qt4 22 16 such such JJ cord-331771-fhy98qt4 22 17 as as IN cord-331771-fhy98qt4 22 18 mosquitoes mosquito NNS cord-331771-fhy98qt4 22 19 ) ) -RRB- cord-331771-fhy98qt4 22 20 [ [ -LRB- cord-331771-fhy98qt4 22 21 9 9 CD cord-331771-fhy98qt4 22 22 ] ] -RRB- cord-331771-fhy98qt4 22 23 , , , cord-331771-fhy98qt4 22 24 virus virus NN cord-331771-fhy98qt4 22 25 mutation mutation NN cord-331771-fhy98qt4 22 26 [ [ -LRB- cord-331771-fhy98qt4 22 27 10 10 CD cord-331771-fhy98qt4 22 28 ] ] -RRB- cord-331771-fhy98qt4 22 29 , , , cord-331771-fhy98qt4 22 30 low low JJ cord-331771-fhy98qt4 22 31 effect effect NN cord-331771-fhy98qt4 22 32 of of IN cord-331771-fhy98qt4 22 33 treatment treatment NN cord-331771-fhy98qt4 22 34 [ [ -LRB- cord-331771-fhy98qt4 22 35 11 11 CD cord-331771-fhy98qt4 22 36 , , , cord-331771-fhy98qt4 22 37 12 12 CD cord-331771-fhy98qt4 22 38 ] ] -RRB- cord-331771-fhy98qt4 22 39 , , , cord-331771-fhy98qt4 22 40 seasonal seasonal JJ cord-331771-fhy98qt4 22 41 outbreak outbreak NN cord-331771-fhy98qt4 22 42 ( ( -LRB- cord-331771-fhy98qt4 22 43 such such JJ cord-331771-fhy98qt4 22 44 as as IN cord-331771-fhy98qt4 22 45 influenza influenza NN cord-331771-fhy98qt4 22 46 ) ) -RRB- cord-331771-fhy98qt4 22 47 [ [ -LRB- cord-331771-fhy98qt4 22 48 13 13 CD cord-331771-fhy98qt4 22 49 , , , cord-331771-fhy98qt4 22 50 14 14 CD cord-331771-fhy98qt4 22 51 ] ] -RRB- cord-331771-fhy98qt4 22 52 , , , cord-331771-fhy98qt4 22 53 etc etc FW cord-331771-fhy98qt4 22 54 . . . cord-331771-fhy98qt4 23 1 As as IN cord-331771-fhy98qt4 23 2 a a DT cord-331771-fhy98qt4 23 3 consequence consequence NN cord-331771-fhy98qt4 23 4 , , , cord-331771-fhy98qt4 23 5 the the DT cord-331771-fhy98qt4 23 6 global global JJ cord-331771-fhy98qt4 23 7 protection protection NN cord-331771-fhy98qt4 23 8 is be VBZ cord-331771-fhy98qt4 23 9 not not RB cord-331771-fhy98qt4 23 10 enough enough JJ cord-331771-fhy98qt4 23 11 , , , cord-331771-fhy98qt4 23 12 and and CC cord-331771-fhy98qt4 23 13 people people NNS cord-331771-fhy98qt4 23 14 are be VBP cord-331771-fhy98qt4 23 15 usually usually RB cord-331771-fhy98qt4 23 16 encouraged encourage VBN cord-331771-fhy98qt4 23 17 to to TO cord-331771-fhy98qt4 23 18 strengthen strengthen VB cord-331771-fhy98qt4 23 19 personal personal JJ cord-331771-fhy98qt4 23 20 protection protection NN cord-331771-fhy98qt4 23 21 to to TO cord-331771-fhy98qt4 23 22 reduce reduce VB cord-331771-fhy98qt4 23 23 the the DT cord-331771-fhy98qt4 23 24 risk risk NN cord-331771-fhy98qt4 23 25 of of IN cord-331771-fhy98qt4 23 26 being be VBG cord-331771-fhy98qt4 23 27 infected infect VBN cord-331771-fhy98qt4 23 28 , , , cord-331771-fhy98qt4 23 29 and and CC cord-331771-fhy98qt4 23 30 they -PRON- PRP cord-331771-fhy98qt4 23 31 are be VBP cord-331771-fhy98qt4 23 32 also also RB cord-331771-fhy98qt4 23 33 willing willing JJ cord-331771-fhy98qt4 23 34 to to TO cord-331771-fhy98qt4 23 35 do do VB cord-331771-fhy98qt4 23 36 that that DT cord-331771-fhy98qt4 23 37 [ [ -LRB- cord-331771-fhy98qt4 23 38 15 15 CD cord-331771-fhy98qt4 23 39 , , , cord-331771-fhy98qt4 23 40 16 16 CD cord-331771-fhy98qt4 23 41 ] ] -RRB- cord-331771-fhy98qt4 23 42 . . . cord-331771-fhy98qt4 24 1 Previous previous JJ cord-331771-fhy98qt4 24 2 researches research NNS cord-331771-fhy98qt4 24 3 have have VBP cord-331771-fhy98qt4 24 4 discovered discover VBN cord-331771-fhy98qt4 24 5 the the DT cord-331771-fhy98qt4 24 6 important important JJ cord-331771-fhy98qt4 24 7 role role NN cord-331771-fhy98qt4 24 8 of of IN cord-331771-fhy98qt4 24 9 individuallevel individuallevel NNP cord-331771-fhy98qt4 24 10 self self NN cord-331771-fhy98qt4 24 11 - - HYPH cord-331771-fhy98qt4 24 12 protection protection NN cord-331771-fhy98qt4 24 13 in in IN cord-331771-fhy98qt4 24 14 eliminating eliminate VBG cord-331771-fhy98qt4 24 15 epidemics epidemic NNS cord-331771-fhy98qt4 24 16 and and CC cord-331771-fhy98qt4 24 17 saving save VBG cord-331771-fhy98qt4 24 18 human human JJ cord-331771-fhy98qt4 24 19 lives life NNS cord-331771-fhy98qt4 24 20 [ [ -LRB- cord-331771-fhy98qt4 24 21 17 17 CD cord-331771-fhy98qt4 24 22 ] ] -RRB- cord-331771-fhy98qt4 24 23 . . . cord-331771-fhy98qt4 25 1 Wang Wang NNP cord-331771-fhy98qt4 25 2 et et NNP cord-331771-fhy98qt4 25 3 al al NNP cord-331771-fhy98qt4 25 4 . . . cord-331771-fhy98qt4 26 1 reviewed review VBD cord-331771-fhy98qt4 26 2 the the DT cord-331771-fhy98qt4 26 3 researches research NNS cord-331771-fhy98qt4 26 4 on on IN cord-331771-fhy98qt4 26 5 the the DT cord-331771-fhy98qt4 26 6 coupled coupled JJ cord-331771-fhy98qt4 26 7 dynamics dynamic NNS cord-331771-fhy98qt4 26 8 of of IN cord-331771-fhy98qt4 26 9 behavior behavior NN cord-331771-fhy98qt4 26 10 and and CC cord-331771-fhy98qt4 26 11 epidemic epidemic NN cord-331771-fhy98qt4 26 12 , , , cord-331771-fhy98qt4 26 13 and and CC cord-331771-fhy98qt4 26 14 summarized summarize VBD cord-331771-fhy98qt4 26 15 that that IN cord-331771-fhy98qt4 26 16 people people NNS cord-331771-fhy98qt4 26 17 's 's POS cord-331771-fhy98qt4 26 18 precautions precaution NNS cord-331771-fhy98qt4 26 19 obviously obviously RB cord-331771-fhy98qt4 26 20 affect affect VBP cord-331771-fhy98qt4 26 21 the the DT cord-331771-fhy98qt4 26 22 prevalence prevalence NN cord-331771-fhy98qt4 26 23 of of IN cord-331771-fhy98qt4 26 24 an an DT cord-331771-fhy98qt4 26 25 epidemic epidemic NN cord-331771-fhy98qt4 26 26 [ [ -LRB- cord-331771-fhy98qt4 26 27 18 18 CD cord-331771-fhy98qt4 26 28 , , , cord-331771-fhy98qt4 26 29 19 19 CD cord-331771-fhy98qt4 26 30 ] ] -RRB- cord-331771-fhy98qt4 26 31 . . . cord-331771-fhy98qt4 27 1 More more RBR cord-331771-fhy98qt4 27 2 importantly importantly RB cord-331771-fhy98qt4 27 3 , , , cord-331771-fhy98qt4 27 4 the the DT cord-331771-fhy98qt4 27 5 self self NN cord-331771-fhy98qt4 27 6 - - HYPH cord-331771-fhy98qt4 27 7 protective protective JJ cord-331771-fhy98qt4 27 8 awareness awareness NN cord-331771-fhy98qt4 27 9 will will MD cord-331771-fhy98qt4 27 10 spread spread VB cord-331771-fhy98qt4 27 11 across across IN cord-331771-fhy98qt4 27 12 the the DT cord-331771-fhy98qt4 27 13 population population NN cord-331771-fhy98qt4 27 14 [ [ -LRB- cord-331771-fhy98qt4 27 15 20 20 CD cord-331771-fhy98qt4 27 16 ] ] -RRB- cord-331771-fhy98qt4 27 17 , , , cord-331771-fhy98qt4 27 18 yielding yield VBG cord-331771-fhy98qt4 27 19 an an DT cord-331771-fhy98qt4 27 20 interdisciplinary interdisciplinary JJ cord-331771-fhy98qt4 27 21 research research NN cord-331771-fhy98qt4 27 22 area area NN cord-331771-fhy98qt4 27 23 : : : cord-331771-fhy98qt4 27 24 interaction interaction NN cord-331771-fhy98qt4 27 25 between between IN cord-331771-fhy98qt4 27 26 information information NN cord-331771-fhy98qt4 27 27 diffusion diffusion NN cord-331771-fhy98qt4 27 28 and and CC cord-331771-fhy98qt4 27 29 epidemic epidemic NN cord-331771-fhy98qt4 27 30 spreading spread VBG cord-331771-fhy98qt4 27 31 [ [ -LRB- cord-331771-fhy98qt4 27 32 21 21 CD cord-331771-fhy98qt4 27 33 ] ] -RRB- cord-331771-fhy98qt4 27 34 . . . cord-331771-fhy98qt4 28 1 Previous previous JJ cord-331771-fhy98qt4 28 2 complex complex JJ cord-331771-fhy98qt4 28 3 network network NN cord-331771-fhy98qt4 28 4 models model NNS cord-331771-fhy98qt4 28 5 have have VBP cord-331771-fhy98qt4 28 6 found find VBN cord-331771-fhy98qt4 28 7 that that IN cord-331771-fhy98qt4 28 8 information information NN cord-331771-fhy98qt4 28 9 diffusion diffusion NN cord-331771-fhy98qt4 28 10 plays play VBZ cord-331771-fhy98qt4 28 11 an an DT cord-331771-fhy98qt4 28 12 important important JJ cord-331771-fhy98qt4 28 13 role role NN cord-331771-fhy98qt4 28 14 in in IN cord-331771-fhy98qt4 28 15 promoting promote VBG cord-331771-fhy98qt4 28 16 the the DT cord-331771-fhy98qt4 28 17 spread spread NN cord-331771-fhy98qt4 28 18 of of IN cord-331771-fhy98qt4 28 19 self self NN cord-331771-fhy98qt4 28 20 - - HYPH cord-331771-fhy98qt4 28 21 protective protective JJ cord-331771-fhy98qt4 28 22 measures measure NNS cord-331771-fhy98qt4 28 23 during during IN cord-331771-fhy98qt4 28 24 an an DT cord-331771-fhy98qt4 28 25 epidemic epidemic NN cord-331771-fhy98qt4 28 26 [ [ -LRB- cord-331771-fhy98qt4 28 27 22 22 CD cord-331771-fhy98qt4 28 28 , , , cord-331771-fhy98qt4 28 29 23 23 CD cord-331771-fhy98qt4 28 30 ] ] -RRB- cord-331771-fhy98qt4 28 31 . . . cord-331771-fhy98qt4 29 1 However however RB cord-331771-fhy98qt4 29 2 , , , cord-331771-fhy98qt4 29 3 in in IN cord-331771-fhy98qt4 29 4 the the DT cord-331771-fhy98qt4 29 5 era era NN cord-331771-fhy98qt4 29 6 of of IN cord-331771-fhy98qt4 29 7 information information NN cord-331771-fhy98qt4 29 8 explosion explosion NN cord-331771-fhy98qt4 29 9 , , , cord-331771-fhy98qt4 29 10 the the DT cord-331771-fhy98qt4 29 11 accuracy accuracy NN cord-331771-fhy98qt4 29 12 of of IN cord-331771-fhy98qt4 29 13 information information NN cord-331771-fhy98qt4 29 14 is be VBZ cord-331771-fhy98qt4 29 15 difficult difficult JJ cord-331771-fhy98qt4 29 16 to to TO cord-331771-fhy98qt4 29 17 guarantee guarantee VB cord-331771-fhy98qt4 29 18 . . . cord-331771-fhy98qt4 30 1 The the DT cord-331771-fhy98qt4 30 2 spread spread NN cord-331771-fhy98qt4 30 3 of of IN cord-331771-fhy98qt4 30 4 incorrect incorrect JJ cord-331771-fhy98qt4 30 5 information information NN cord-331771-fhy98qt4 30 6 may may MD cord-331771-fhy98qt4 30 7 mislead mislead VB cord-331771-fhy98qt4 30 8 people people NNS cord-331771-fhy98qt4 30 9 to to TO cord-331771-fhy98qt4 30 10 choose choose VB cord-331771-fhy98qt4 30 11 the the DT cord-331771-fhy98qt4 30 12 measures measure NNS cord-331771-fhy98qt4 30 13 of of IN cord-331771-fhy98qt4 30 14 low low JJ cord-331771-fhy98qt4 30 15 effect effect NN cord-331771-fhy98qt4 30 16 or or CC cord-331771-fhy98qt4 30 17 no no DT cord-331771-fhy98qt4 30 18 effect effect NN cord-331771-fhy98qt4 30 19 . . . cord-331771-fhy98qt4 31 1 Tai Tai NNP cord-331771-fhy98qt4 31 2 et et NNP cord-331771-fhy98qt4 31 3 al al NNP cord-331771-fhy98qt4 31 4 . . . cord-331771-fhy98qt4 32 1 reviewed review VBN cord-331771-fhy98qt4 32 2 in in IN cord-331771-fhy98qt4 32 3 detail detail NN cord-331771-fhy98qt4 32 4 the the DT cord-331771-fhy98qt4 32 5 rumors rumor NNS cord-331771-fhy98qt4 32 6 on on IN cord-331771-fhy98qt4 32 7 protective protective JJ cord-331771-fhy98qt4 32 8 measures measure NNS cord-331771-fhy98qt4 32 9 during during IN cord-331771-fhy98qt4 32 10 the the DT cord-331771-fhy98qt4 32 11 outbreak outbreak NN cord-331771-fhy98qt4 32 12 of of IN cord-331771-fhy98qt4 32 13 SARS SARS NNP cord-331771-fhy98qt4 32 14 , , , cord-331771-fhy98qt4 32 15 such such JJ cord-331771-fhy98qt4 32 16 as as IN cord-331771-fhy98qt4 32 17 fumigating fumigate VBG cord-331771-fhy98qt4 32 18 vinegar vinegar NN cord-331771-fhy98qt4 32 19 [ [ -LRB- cord-331771-fhy98qt4 32 20 24 24 CD cord-331771-fhy98qt4 32 21 ] ] -RRB- cord-331771-fhy98qt4 32 22 . . . cord-331771-fhy98qt4 33 1 In in IN cord-331771-fhy98qt4 33 2 addition addition NN cord-331771-fhy98qt4 33 3 , , , cord-331771-fhy98qt4 33 4 even even RB cord-331771-fhy98qt4 33 5 if if IN cord-331771-fhy98qt4 33 6 the the DT cord-331771-fhy98qt4 33 7 correct correct JJ cord-331771-fhy98qt4 33 8 information information NN cord-331771-fhy98qt4 33 9 is be VBZ cord-331771-fhy98qt4 33 10 spreading spread VBG cord-331771-fhy98qt4 33 11 in in IN cord-331771-fhy98qt4 33 12 social social JJ cord-331771-fhy98qt4 33 13 networks network NNS cord-331771-fhy98qt4 33 14 , , , cord-331771-fhy98qt4 33 15 rumors rumor NNS cord-331771-fhy98qt4 33 16 against against IN cord-331771-fhy98qt4 33 17 it -PRON- PRP cord-331771-fhy98qt4 33 18 may may MD cord-331771-fhy98qt4 33 19 discourage discourage VB cord-331771-fhy98qt4 33 20 people people NNS cord-331771-fhy98qt4 33 21 from from IN cord-331771-fhy98qt4 33 22 adopting adopt VBG cord-331771-fhy98qt4 33 23 it -PRON- PRP cord-331771-fhy98qt4 33 24 [ [ -LRB- cord-331771-fhy98qt4 33 25 25 25 CD cord-331771-fhy98qt4 33 26 ] ] -RRB- cord-331771-fhy98qt4 33 27 . . . cord-331771-fhy98qt4 34 1 One one CD cord-331771-fhy98qt4 34 2 of of IN cord-331771-fhy98qt4 34 3 the the DT cord-331771-fhy98qt4 34 4 reasons reason NNS cord-331771-fhy98qt4 34 5 for for IN cord-331771-fhy98qt4 34 6 the the DT cord-331771-fhy98qt4 34 7 inaccurate inaccurate JJ cord-331771-fhy98qt4 34 8 information information NN cord-331771-fhy98qt4 34 9 to to TO cord-331771-fhy98qt4 34 10 prevail prevail VB cord-331771-fhy98qt4 34 11 in in IN cord-331771-fhy98qt4 34 12 social social JJ cord-331771-fhy98qt4 34 13 networks network NNS cord-331771-fhy98qt4 34 14 is be VBZ cord-331771-fhy98qt4 34 15 that that IN cord-331771-fhy98qt4 34 16 , , , cord-331771-fhy98qt4 34 17 most most JJS cord-331771-fhy98qt4 34 18 people people NNS cord-331771-fhy98qt4 34 19 only only RB cord-331771-fhy98qt4 34 20 have have VBP cord-331771-fhy98qt4 34 21 common common JJ cord-331771-fhy98qt4 34 22 sense sense NN cord-331771-fhy98qt4 34 23 and and CC cord-331771-fhy98qt4 34 24 lack lack JJ cord-331771-fhy98qt4 34 25 relevant relevant JJ cord-331771-fhy98qt4 34 26 professional professional JJ cord-331771-fhy98qt4 34 27 knowledge knowledge NN cord-331771-fhy98qt4 34 28 to to TO cord-331771-fhy98qt4 34 29 make make VB cord-331771-fhy98qt4 34 30 accurate accurate JJ cord-331771-fhy98qt4 34 31 judgments judgment NNS cord-331771-fhy98qt4 34 32 . . . cord-331771-fhy98qt4 35 1 The the DT cord-331771-fhy98qt4 35 2 professional professional JJ cord-331771-fhy98qt4 35 3 knowledge knowledge NN cord-331771-fhy98qt4 35 4 is be VBZ cord-331771-fhy98qt4 35 5 usually usually RB cord-331771-fhy98qt4 35 6 mastered master VBN cord-331771-fhy98qt4 35 7 by by IN cord-331771-fhy98qt4 35 8 a a DT cord-331771-fhy98qt4 35 9 few few JJ cord-331771-fhy98qt4 35 10 people people NNS cord-331771-fhy98qt4 35 11 . . . cord-331771-fhy98qt4 36 1 For for IN cord-331771-fhy98qt4 36 2 example example NN cord-331771-fhy98qt4 36 3 , , , cord-331771-fhy98qt4 36 4 Prelec Prelec NNP cord-331771-fhy98qt4 36 5 et et NNP cord-331771-fhy98qt4 36 6 al al NNP cord-331771-fhy98qt4 36 7 . . NNP cord-331771-fhy98qt4 36 8 conducted conduct VBD cord-331771-fhy98qt4 36 9 a a DT cord-331771-fhy98qt4 36 10 survey survey NN cord-331771-fhy98qt4 36 11 on on IN cord-331771-fhy98qt4 36 12 the the DT cord-331771-fhy98qt4 36 13 knowledge knowledge NN cord-331771-fhy98qt4 36 14 of of IN cord-331771-fhy98qt4 36 15 US US NNP cord-331771-fhy98qt4 36 16 state state NN cord-331771-fhy98qt4 36 17 capitals capital NNS cord-331771-fhy98qt4 36 18 [ [ -LRB- cord-331771-fhy98qt4 36 19 26 26 CD cord-331771-fhy98qt4 36 20 ] ] -RRB- cord-331771-fhy98qt4 36 21 . . . cord-331771-fhy98qt4 37 1 One one CD cord-331771-fhy98qt4 37 2 question question NN cord-331771-fhy98qt4 37 3 is be VBZ cord-331771-fhy98qt4 37 4 " " `` cord-331771-fhy98qt4 37 5 Philadelphia Philadelphia NNP cord-331771-fhy98qt4 37 6 is be VBZ cord-331771-fhy98qt4 37 7 the the DT cord-331771-fhy98qt4 37 8 capital capital NN cord-331771-fhy98qt4 37 9 of of IN cord-331771-fhy98qt4 37 10 Pennsylvania Pennsylvania NNP cord-331771-fhy98qt4 37 11 , , , cord-331771-fhy98qt4 37 12 yes yes UH cord-331771-fhy98qt4 37 13 or or CC cord-331771-fhy98qt4 37 14 no no UH cord-331771-fhy98qt4 37 15 ? ? . cord-331771-fhy98qt4 37 16 " " '' cord-331771-fhy98qt4 38 1 The the DT cord-331771-fhy98qt4 38 2 answer answer NN cord-331771-fhy98qt4 38 3 given give VBN cord-331771-fhy98qt4 38 4 by by IN cord-331771-fhy98qt4 38 5 most most JJS cord-331771-fhy98qt4 38 6 respondents respondent NNS cord-331771-fhy98qt4 38 7 is be VBZ cord-331771-fhy98qt4 38 8 " " `` cord-331771-fhy98qt4 38 9 yes yes UH cord-331771-fhy98qt4 38 10 " " '' cord-331771-fhy98qt4 38 11 , , , cord-331771-fhy98qt4 38 12 which which WDT cord-331771-fhy98qt4 38 13 is be VBZ cord-331771-fhy98qt4 38 14 incorrect incorrect JJ cord-331771-fhy98qt4 38 15 . . . cord-331771-fhy98qt4 39 1 Although although IN cord-331771-fhy98qt4 39 2 the the DT cord-331771-fhy98qt4 39 3 respondents respondent NNS cord-331771-fhy98qt4 39 4 are be VBP cord-331771-fhy98qt4 39 5 from from IN cord-331771-fhy98qt4 39 6 world world NN cord-331771-fhy98qt4 39 7 - - HYPH cord-331771-fhy98qt4 39 8 class class NN cord-331771-fhy98qt4 39 9 universities university NNS cord-331771-fhy98qt4 39 10 , , , cord-331771-fhy98qt4 39 11 they -PRON- PRP cord-331771-fhy98qt4 39 12 failed fail VBD cord-331771-fhy98qt4 39 13 to to TO cord-331771-fhy98qt4 39 14 give give VB cord-331771-fhy98qt4 39 15 the the DT cord-331771-fhy98qt4 39 16 right right JJ cord-331771-fhy98qt4 39 17 answer answer NN cord-331771-fhy98qt4 39 18 . . . cord-331771-fhy98qt4 40 1 To to TO cord-331771-fhy98qt4 40 2 explore explore VB cord-331771-fhy98qt4 40 3 the the DT cord-331771-fhy98qt4 40 4 reason reason NN cord-331771-fhy98qt4 40 5 behind behind RB cord-331771-fhy98qt4 40 6 , , , cord-331771-fhy98qt4 40 7 Prelec Prelec NNP cord-331771-fhy98qt4 40 8 et et NNP cord-331771-fhy98qt4 40 9 al al NNP cord-331771-fhy98qt4 40 10 . . NNP cord-331771-fhy98qt4 40 11 found find VBD cord-331771-fhy98qt4 40 12 that that IN cord-331771-fhy98qt4 40 13 almost almost RB cord-331771-fhy98qt4 40 14 all all DT cord-331771-fhy98qt4 40 15 respondents respondent NNS cord-331771-fhy98qt4 40 16 have have VBP cord-331771-fhy98qt4 40 17 the the DT cord-331771-fhy98qt4 40 18 common common JJ cord-331771-fhy98qt4 40 19 sense sense NN cord-331771-fhy98qt4 40 20 that that IN cord-331771-fhy98qt4 40 21 Philadelphia Philadelphia NNP cord-331771-fhy98qt4 40 22 is be VBZ cord-331771-fhy98qt4 40 23 the the DT cord-331771-fhy98qt4 40 24 largest large JJS cord-331771-fhy98qt4 40 25 city city NN cord-331771-fhy98qt4 40 26 in in IN cord-331771-fhy98qt4 40 27 Pennsylvania Pennsylvania NNP cord-331771-fhy98qt4 40 28 , , , cord-331771-fhy98qt4 40 29 while while IN cord-331771-fhy98qt4 40 30 the the DT cord-331771-fhy98qt4 40 31 knowledge knowledge NN cord-331771-fhy98qt4 40 32 that that IN cord-331771-fhy98qt4 40 33 " " `` cord-331771-fhy98qt4 40 34 Harrisburg Harrisburg NNP cord-331771-fhy98qt4 40 35 is be VBZ cord-331771-fhy98qt4 40 36 the the DT cord-331771-fhy98qt4 40 37 capital capital NN cord-331771-fhy98qt4 40 38 of of IN cord-331771-fhy98qt4 40 39 Pennsylvania Pennsylvania NNP cord-331771-fhy98qt4 40 40 " " '' cord-331771-fhy98qt4 40 41 is be VBZ cord-331771-fhy98qt4 40 42 mastered master VBN cord-331771-fhy98qt4 40 43 by by IN cord-331771-fhy98qt4 40 44 a a DT cord-331771-fhy98qt4 40 45 few few JJ cord-331771-fhy98qt4 40 46 people people NNS cord-331771-fhy98qt4 40 47 . . . cord-331771-fhy98qt4 41 1 Similarly similarly RB cord-331771-fhy98qt4 41 2 , , , cord-331771-fhy98qt4 41 3 during during IN cord-331771-fhy98qt4 41 4 SARS SARS NNP cord-331771-fhy98qt4 41 5 , , , cord-331771-fhy98qt4 41 6 people people NNS cord-331771-fhy98qt4 41 7 may may MD cord-331771-fhy98qt4 41 8 have have VB cord-331771-fhy98qt4 41 9 the the DT cord-331771-fhy98qt4 41 10 common common JJ cord-331771-fhy98qt4 41 11 sense sense NN cord-331771-fhy98qt4 41 12 that that IN cord-331771-fhy98qt4 41 13 acetic acetic JJ cord-331771-fhy98qt4 41 14 acid acid NN cord-331771-fhy98qt4 41 15 has have VBZ cord-331771-fhy98qt4 41 16 a a DT cord-331771-fhy98qt4 41 17 certain certain JJ cord-331771-fhy98qt4 41 18 bactericidal bactericidal JJ cord-331771-fhy98qt4 41 19 effect effect NN cord-331771-fhy98qt4 41 20 , , , cord-331771-fhy98qt4 41 21 but but CC cord-331771-fhy98qt4 41 22 the the DT cord-331771-fhy98qt4 41 23 knowledge knowledge NN cord-331771-fhy98qt4 41 24 is be VBZ cord-331771-fhy98qt4 41 25 that that IN cord-331771-fhy98qt4 41 26 the the DT cord-331771-fhy98qt4 41 27 concentration concentration NN cord-331771-fhy98qt4 41 28 of of IN cord-331771-fhy98qt4 41 29 acetic acetic JJ cord-331771-fhy98qt4 41 30 acid acid NN cord-331771-fhy98qt4 41 31 in in IN cord-331771-fhy98qt4 41 32 vinegar vinegar NN cord-331771-fhy98qt4 41 33 is be VBZ cord-331771-fhy98qt4 41 34 not not RB cord-331771-fhy98qt4 41 35 enough enough JJ cord-331771-fhy98qt4 41 36 to to TO cord-331771-fhy98qt4 41 37 kill kill VB cord-331771-fhy98qt4 41 38 the the DT cord-331771-fhy98qt4 41 39 virus virus NN cord-331771-fhy98qt4 41 40 . . . cord-331771-fhy98qt4 42 1 In in IN cord-331771-fhy98qt4 42 2 this this DT cord-331771-fhy98qt4 42 3 research research NN cord-331771-fhy98qt4 42 4 , , , cord-331771-fhy98qt4 42 5 we -PRON- PRP cord-331771-fhy98qt4 42 6 define define VBP cord-331771-fhy98qt4 42 7 inaccurate inaccurate JJ cord-331771-fhy98qt4 42 8 information information NN cord-331771-fhy98qt4 42 9 as as IN cord-331771-fhy98qt4 42 10 rumor rumor NN cord-331771-fhy98qt4 42 11 and and CC cord-331771-fhy98qt4 42 12 accurate accurate JJ cord-331771-fhy98qt4 42 13 information information NN cord-331771-fhy98qt4 42 14 as as IN cord-331771-fhy98qt4 42 15 knowledge knowledge NN cord-331771-fhy98qt4 42 16 . . . cord-331771-fhy98qt4 43 1 As as IN cord-331771-fhy98qt4 43 2 what what WP cord-331771-fhy98qt4 43 3 we -PRON- PRP cord-331771-fhy98qt4 43 4 learn learn VBP cord-331771-fhy98qt4 43 5 from from IN cord-331771-fhy98qt4 43 6 the the DT cord-331771-fhy98qt4 43 7 study study NN cord-331771-fhy98qt4 43 8 of of IN cord-331771-fhy98qt4 43 9 Prelec Prelec NNP cord-331771-fhy98qt4 43 10 et et NNP cord-331771-fhy98qt4 43 11 al al NNP cord-331771-fhy98qt4 43 12 . . . cord-331771-fhy98qt4 44 1 , , , cord-331771-fhy98qt4 44 2 rumor rumor NN cord-331771-fhy98qt4 44 3 may may MD cord-331771-fhy98qt4 44 4 spread spread VB cord-331771-fhy98qt4 44 5 more more RBR cord-331771-fhy98qt4 44 6 widely widely RB cord-331771-fhy98qt4 44 7 than than IN cord-331771-fhy98qt4 44 8 knowledge knowledge NN cord-331771-fhy98qt4 44 9 , , , cord-331771-fhy98qt4 44 10 which which WDT cord-331771-fhy98qt4 44 11 is be VBZ cord-331771-fhy98qt4 44 12 very very RB cord-331771-fhy98qt4 44 13 harmful harmful JJ cord-331771-fhy98qt4 44 14 to to IN cord-331771-fhy98qt4 44 15 controlling control VBG cord-331771-fhy98qt4 44 16 an an DT cord-331771-fhy98qt4 44 17 epidemic epidemic NN cord-331771-fhy98qt4 44 18 . . . cord-331771-fhy98qt4 45 1 Therefore therefore RB cord-331771-fhy98qt4 45 2 , , , cord-331771-fhy98qt4 45 3 it -PRON- PRP cord-331771-fhy98qt4 45 4 is be VBZ cord-331771-fhy98qt4 45 5 important important JJ cord-331771-fhy98qt4 45 6 to to TO cord-331771-fhy98qt4 45 7 know know VB cord-331771-fhy98qt4 45 8 how how WRB cord-331771-fhy98qt4 45 9 the the DT cord-331771-fhy98qt4 45 10 diffusion diffusion NN cord-331771-fhy98qt4 45 11 of of IN cord-331771-fhy98qt4 45 12 rumor rumor NN cord-331771-fhy98qt4 45 13 affects affect VBZ cord-331771-fhy98qt4 45 14 the the DT cord-331771-fhy98qt4 45 15 spread spread NN cord-331771-fhy98qt4 45 16 of of IN cord-331771-fhy98qt4 45 17 an an DT cord-331771-fhy98qt4 45 18 epidemic epidemic NN cord-331771-fhy98qt4 45 19 , , , cord-331771-fhy98qt4 45 20 and and CC cord-331771-fhy98qt4 45 21 whether whether IN cord-331771-fhy98qt4 45 22 rumor rumor NN cord-331771-fhy98qt4 45 23 and and CC cord-331771-fhy98qt4 45 24 epidemic epidemic NN cord-331771-fhy98qt4 45 25 can can MD cord-331771-fhy98qt4 45 26 be be VB cord-331771-fhy98qt4 45 27 contained contain VBN cord-331771-fhy98qt4 45 28 by by IN cord-331771-fhy98qt4 45 29 the the DT cord-331771-fhy98qt4 45 30 diffusion diffusion NN cord-331771-fhy98qt4 45 31 of of IN cord-331771-fhy98qt4 45 32 knowledge knowledge NN cord-331771-fhy98qt4 45 33 . . . cord-331771-fhy98qt4 46 1 We -PRON- PRP cord-331771-fhy98qt4 46 2 adopt adopt VBP cord-331771-fhy98qt4 46 3 a a DT cord-331771-fhy98qt4 46 4 two two CD cord-331771-fhy98qt4 46 5 - - HYPH cord-331771-fhy98qt4 46 6 layer layer NN cord-331771-fhy98qt4 46 7 network network NN cord-331771-fhy98qt4 46 8 to to TO cord-331771-fhy98qt4 46 9 model model VB cord-331771-fhy98qt4 46 10 the the DT cord-331771-fhy98qt4 46 11 processes process NNS cord-331771-fhy98qt4 46 12 of of IN cord-331771-fhy98qt4 46 13 information information NN cord-331771-fhy98qt4 46 14 diffusion diffusion NN cord-331771-fhy98qt4 46 15 ( ( -LRB- cord-331771-fhy98qt4 46 16 including include VBG cord-331771-fhy98qt4 46 17 rumor rumor NN cord-331771-fhy98qt4 46 18 diffusion diffusion NN cord-331771-fhy98qt4 46 19 and and CC cord-331771-fhy98qt4 46 20 knowledge knowledge NN cord-331771-fhy98qt4 46 21 diffusion diffusion NN cord-331771-fhy98qt4 46 22 ) ) -RRB- cord-331771-fhy98qt4 46 23 and and CC cord-331771-fhy98qt4 46 24 epidemic epidemic NN cord-331771-fhy98qt4 46 25 spreading spreading NN cord-331771-fhy98qt4 46 26 . . . cord-331771-fhy98qt4 47 1 In in IN cord-331771-fhy98qt4 47 2 the the DT cord-331771-fhy98qt4 47 3 communication communication NN cord-331771-fhy98qt4 47 4 - - HYPH cord-331771-fhy98qt4 47 5 layer layer NN cord-331771-fhy98qt4 47 6 network network NN cord-331771-fhy98qt4 47 7 , , , cord-331771-fhy98qt4 47 8 we -PRON- PRP cord-331771-fhy98qt4 47 9 adopt adopt VBP cord-331771-fhy98qt4 47 10 a a DT cord-331771-fhy98qt4 47 11 UA UA NNP cord-331771-fhy98qt4 47 12 1 1 CD cord-331771-fhy98qt4 47 13 A a DT cord-331771-fhy98qt4 47 14 2 2 CD cord-331771-fhy98qt4 47 15 model model NN cord-331771-fhy98qt4 47 16 to to TO cord-331771-fhy98qt4 47 17 describe describe VB cord-331771-fhy98qt4 47 18 the the DT cord-331771-fhy98qt4 47 19 competitive competitive JJ cord-331771-fhy98qt4 47 20 diffusions diffusion NNS cord-331771-fhy98qt4 47 21 of of IN cord-331771-fhy98qt4 47 22 rumor rumor NN cord-331771-fhy98qt4 47 23 and and CC cord-331771-fhy98qt4 47 24 knowledge knowledge NN cord-331771-fhy98qt4 47 25 . . . cord-331771-fhy98qt4 48 1 Specifically specifically RB cord-331771-fhy98qt4 48 2 , , , cord-331771-fhy98qt4 48 3 we -PRON- PRP cord-331771-fhy98qt4 48 4 propose propose VBP cord-331771-fhy98qt4 48 5 a a DT cord-331771-fhy98qt4 48 6 unidirectional unidirectional JJ cord-331771-fhy98qt4 48 7 transition transition NN cord-331771-fhy98qt4 48 8 probability probability NN cord-331771-fhy98qt4 48 9 from from IN cord-331771-fhy98qt4 48 10 the the DT cord-331771-fhy98qt4 48 11 rumor rumor NN cord-331771-fhy98qt4 48 12 - - HYPH cord-331771-fhy98qt4 48 13 believed believe VBN cord-331771-fhy98qt4 48 14 state state NN cord-331771-fhy98qt4 48 15 to to IN cord-331771-fhy98qt4 48 16 the the DT cord-331771-fhy98qt4 48 17 knowledge knowledge NN cord-331771-fhy98qt4 48 18 - - HYPH cord-331771-fhy98qt4 48 19 believed believe VBN cord-331771-fhy98qt4 48 20 state state NN cord-331771-fhy98qt4 48 21 , , , cord-331771-fhy98qt4 48 22 which which WDT cord-331771-fhy98qt4 48 23 represents represent VBZ cord-331771-fhy98qt4 48 24 the the DT cord-331771-fhy98qt4 48 25 penetration penetration NN cord-331771-fhy98qt4 48 26 of of IN cord-331771-fhy98qt4 48 27 knowledge knowledge NN cord-331771-fhy98qt4 48 28 into into IN cord-331771-fhy98qt4 48 29 rumor rumor NN cord-331771-fhy98qt4 48 30 . . . cord-331771-fhy98qt4 49 1 In in IN cord-331771-fhy98qt4 49 2 the the DT cord-331771-fhy98qt4 49 3 contact contact NN cord-331771-fhy98qt4 49 4 - - HYPH cord-331771-fhy98qt4 49 5 layer layer NN cord-331771-fhy98qt4 49 6 network network NN cord-331771-fhy98qt4 49 7 , , , cord-331771-fhy98qt4 49 8 we -PRON- PRP cord-331771-fhy98qt4 49 9 adopt adopt VBP cord-331771-fhy98qt4 49 10 an an DT cord-331771-fhy98qt4 49 11 SEIS SEIS NNP cord-331771-fhy98qt4 49 12 model model NN cord-331771-fhy98qt4 49 13 to to TO cord-331771-fhy98qt4 49 14 describe describe VB cord-331771-fhy98qt4 49 15 the the DT cord-331771-fhy98qt4 49 16 spread spread NN cord-331771-fhy98qt4 49 17 of of IN cord-331771-fhy98qt4 49 18 epidemic epidemic NN cord-331771-fhy98qt4 49 19 . . . cord-331771-fhy98qt4 50 1 The the DT cord-331771-fhy98qt4 50 2 infected infected JJ cord-331771-fhy98qt4 50 3 state state NN cord-331771-fhy98qt4 50 4 is be VBZ cord-331771-fhy98qt4 50 5 divided divide VBN cord-331771-fhy98qt4 50 6 into into IN cord-331771-fhy98qt4 50 7 two two CD cord-331771-fhy98qt4 50 8 stages stage NNS cord-331771-fhy98qt4 50 9 : : : cord-331771-fhy98qt4 50 10 infected infect VBN cord-331771-fhy98qt4 50 11 but but CC cord-331771-fhy98qt4 50 12 undetected undetected JJ cord-331771-fhy98qt4 50 13 ( ( -LRB- cord-331771-fhy98qt4 50 14 E e NN cord-331771-fhy98qt4 50 15 ) ) -RRB- cord-331771-fhy98qt4 50 16 , , , cord-331771-fhy98qt4 50 17 infected infected JJ cord-331771-fhy98qt4 50 18 and and CC cord-331771-fhy98qt4 50 19 detected detect VBN cord-331771-fhy98qt4 50 20 ( ( -LRB- cord-331771-fhy98qt4 50 21 I i NN cord-331771-fhy98qt4 50 22 ) ) -RRB- cord-331771-fhy98qt4 50 23 . . . cord-331771-fhy98qt4 51 1 When when WRB cord-331771-fhy98qt4 51 2 infected infected JJ cord-331771-fhy98qt4 51 3 nodes node NNS cord-331771-fhy98qt4 51 4 are be VBP cord-331771-fhy98qt4 51 5 detected detect VBN cord-331771-fhy98qt4 51 6 , , , cord-331771-fhy98qt4 51 7 they -PRON- PRP cord-331771-fhy98qt4 51 8 will will MD cord-331771-fhy98qt4 51 9 be be VB cord-331771-fhy98qt4 51 10 quarantined quarantine VBN cord-331771-fhy98qt4 51 11 immediately immediately RB cord-331771-fhy98qt4 51 12 . . . cord-331771-fhy98qt4 52 1 Previous previous JJ cord-331771-fhy98qt4 52 2 epidemic epidemic NN cord-331771-fhy98qt4 52 3 models model NNS cord-331771-fhy98qt4 52 4 often often RB cord-331771-fhy98qt4 52 5 assumed assume VBD cord-331771-fhy98qt4 52 6 that that IN cord-331771-fhy98qt4 52 7 the the DT cord-331771-fhy98qt4 52 8 diffusion diffusion NN cord-331771-fhy98qt4 52 9 of of IN cord-331771-fhy98qt4 52 10 information information NN cord-331771-fhy98qt4 52 11 is be VBZ cord-331771-fhy98qt4 52 12 driven drive VBN cord-331771-fhy98qt4 52 13 by by IN cord-331771-fhy98qt4 52 14 local local JJ cord-331771-fhy98qt4 52 15 risk risk NN cord-331771-fhy98qt4 52 16 information information NN cord-331771-fhy98qt4 52 17 ( ( -LRB- cord-331771-fhy98qt4 52 18 e.g. e.g. RB cord-331771-fhy98qt4 52 19 , , , cord-331771-fhy98qt4 52 20 whether whether IN cord-331771-fhy98qt4 52 21 the the DT cord-331771-fhy98qt4 52 22 linked link VBN cord-331771-fhy98qt4 52 23 neighbors neighbor NNS cord-331771-fhy98qt4 52 24 are be VBP cord-331771-fhy98qt4 52 25 infected infect VBN cord-331771-fhy98qt4 52 26 [ [ -LRB- cord-331771-fhy98qt4 52 27 27 27 CD cord-331771-fhy98qt4 52 28 ] ] -RRB- cord-331771-fhy98qt4 52 29 ) ) -RRB- cord-331771-fhy98qt4 52 30 . . . cord-331771-fhy98qt4 53 1 However however RB cord-331771-fhy98qt4 53 2 , , , cord-331771-fhy98qt4 53 3 in in IN cord-331771-fhy98qt4 53 4 our -PRON- PRP$ cord-331771-fhy98qt4 53 5 epidemic epidemic NN cord-331771-fhy98qt4 53 6 model model NN cord-331771-fhy98qt4 53 7 , , , cord-331771-fhy98qt4 53 8 the the DT cord-331771-fhy98qt4 53 9 direct direct JJ cord-331771-fhy98qt4 53 10 risk risk NN cord-331771-fhy98qt4 53 11 sources source NNS cord-331771-fhy98qt4 53 12 ( ( -LRB- cord-331771-fhy98qt4 53 13 i.e. i.e. FW cord-331771-fhy98qt4 53 14 , , , cord-331771-fhy98qt4 53 15 unobserved unobserved JJ cord-331771-fhy98qt4 53 16 infected infected JJ cord-331771-fhy98qt4 53 17 nodes node NNS cord-331771-fhy98qt4 53 18 ) ) -RRB- cord-331771-fhy98qt4 53 19 are be VBP cord-331771-fhy98qt4 53 20 not not RB cord-331771-fhy98qt4 53 21 detected detect VBN cord-331771-fhy98qt4 53 22 , , , cord-331771-fhy98qt4 53 23 which which WDT cord-331771-fhy98qt4 53 24 makes make VBZ cord-331771-fhy98qt4 53 25 the the DT cord-331771-fhy98qt4 53 26 local local JJ cord-331771-fhy98qt4 53 27 risk risk NN cord-331771-fhy98qt4 53 28 information information NN cord-331771-fhy98qt4 53 29 less less RBR cord-331771-fhy98qt4 53 30 " " `` cord-331771-fhy98qt4 53 31 protective protective JJ cord-331771-fhy98qt4 53 32 " " '' cord-331771-fhy98qt4 53 33 [ [ -LRB- cord-331771-fhy98qt4 53 34 28 28 CD cord-331771-fhy98qt4 53 35 ] ] -RRB- cord-331771-fhy98qt4 53 36 . . . cord-331771-fhy98qt4 54 1 Moreover moreover RB cord-331771-fhy98qt4 54 2 , , , cord-331771-fhy98qt4 54 3 people people NNS cord-331771-fhy98qt4 54 4 prefer prefer VBP cord-331771-fhy98qt4 54 5 to to IN cord-331771-fhy98qt4 54 6 making make VBG cord-331771-fhy98qt4 54 7 pre pre JJ cord-331771-fhy98qt4 54 8 - - NN cord-331771-fhy98qt4 54 9 protection protection NN cord-331771-fhy98qt4 54 10 , , , cord-331771-fhy98qt4 54 11 regardless regardless RB cord-331771-fhy98qt4 54 12 of of IN cord-331771-fhy98qt4 54 13 whether whether IN cord-331771-fhy98qt4 54 14 there there EX cord-331771-fhy98qt4 54 15 is be VBZ cord-331771-fhy98qt4 54 16 any any DT cord-331771-fhy98qt4 54 17 infected infected JJ cord-331771-fhy98qt4 54 18 neighbor neighbor NN cord-331771-fhy98qt4 54 19 [ [ -LRB- cord-331771-fhy98qt4 54 20 29 29 CD cord-331771-fhy98qt4 54 21 ] ] -RRB- cord-331771-fhy98qt4 54 22 . . . cord-331771-fhy98qt4 55 1 For for IN cord-331771-fhy98qt4 55 2 instance instance NN cord-331771-fhy98qt4 55 3 , , , cord-331771-fhy98qt4 55 4 in in IN cord-331771-fhy98qt4 55 5 the the DT cord-331771-fhy98qt4 55 6 previously previously RB cord-331771-fhy98qt4 55 7 mentioned mention VBN cord-331771-fhy98qt4 55 8 vinegar vinegar NN cord-331771-fhy98qt4 55 9 case case NN cord-331771-fhy98qt4 55 10 , , , cord-331771-fhy98qt4 55 11 people people NNS cord-331771-fhy98qt4 55 12 's 's POS cord-331771-fhy98qt4 55 13 pre pre NN cord-331771-fhy98qt4 55 14 - - NN cord-331771-fhy98qt4 55 15 protection protection NN cord-331771-fhy98qt4 55 16 is be VBZ cord-331771-fhy98qt4 55 17 mainly mainly RB cord-331771-fhy98qt4 55 18 induced induce VBN cord-331771-fhy98qt4 55 19 by by IN cord-331771-fhy98qt4 55 20 global global JJ cord-331771-fhy98qt4 55 21 risk risk NN cord-331771-fhy98qt4 55 22 information information NN cord-331771-fhy98qt4 55 23 . . . cord-331771-fhy98qt4 56 1 As as IN cord-331771-fhy98qt4 56 2 another another DT cord-331771-fhy98qt4 56 3 example example NN cord-331771-fhy98qt4 56 4 , , , cord-331771-fhy98qt4 56 5 since since IN cord-331771-fhy98qt4 56 6 the the DT cord-331771-fhy98qt4 56 7 COVID-19 COVID-19 NNP cord-331771-fhy98qt4 56 8 virus virus NN cord-331771-fhy98qt4 56 9 was be VBD cord-331771-fhy98qt4 56 10 proved prove VBN cord-331771-fhy98qt4 56 11 to to TO cord-331771-fhy98qt4 56 12 be be VB cord-331771-fhy98qt4 56 13 infectious infectious JJ cord-331771-fhy98qt4 56 14 , , , cord-331771-fhy98qt4 56 15 the the DT cord-331771-fhy98qt4 56 16 knowledge knowledge NN cord-331771-fhy98qt4 56 17 of of IN cord-331771-fhy98qt4 56 18 wearing wear VBG cord-331771-fhy98qt4 56 19 appropriate appropriate JJ cord-331771-fhy98qt4 56 20 masks mask NNS cord-331771-fhy98qt4 56 21 is be VBZ cord-331771-fhy98qt4 56 22 widely widely RB cord-331771-fhy98qt4 56 23 spread spread VBN cord-331771-fhy98qt4 56 24 on on IN cord-331771-fhy98qt4 56 25 social social JJ cord-331771-fhy98qt4 56 26 networks network NNS cord-331771-fhy98qt4 56 27 of of IN cord-331771-fhy98qt4 56 28 1.4 1.4 CD cord-331771-fhy98qt4 56 29 billion billion CD cord-331771-fhy98qt4 56 30 Chinese chinese JJ cord-331771-fhy98qt4 56 31 users user NNS cord-331771-fhy98qt4 56 32 . . . cord-331771-fhy98qt4 57 1 Therefore therefore RB cord-331771-fhy98qt4 57 2 , , , cord-331771-fhy98qt4 57 3 unlike unlike IN cord-331771-fhy98qt4 57 4 previous previous JJ cord-331771-fhy98qt4 57 5 models model NNS cord-331771-fhy98qt4 57 6 , , , cord-331771-fhy98qt4 57 7 we -PRON- PRP cord-331771-fhy98qt4 57 8 will will MD cord-331771-fhy98qt4 57 9 focus focus VB cord-331771-fhy98qt4 57 10 on on IN cord-331771-fhy98qt4 57 11 pre pre JJ cord-331771-fhy98qt4 57 12 - - NN cord-331771-fhy98qt4 57 13 protection protection NN cord-331771-fhy98qt4 57 14 and and CC cord-331771-fhy98qt4 57 15 assume assume VB cord-331771-fhy98qt4 57 16 that that IN cord-331771-fhy98qt4 57 17 once once IN cord-331771-fhy98qt4 57 18 the the DT cord-331771-fhy98qt4 57 19 infected infected JJ cord-331771-fhy98qt4 57 20 node node NN cord-331771-fhy98qt4 57 21 is be VBZ cord-331771-fhy98qt4 57 22 detected detect VBN cord-331771-fhy98qt4 57 23 globally globally RB cord-331771-fhy98qt4 57 24 , , , cord-331771-fhy98qt4 57 25 information information NN cord-331771-fhy98qt4 57 26 diffusion diffusion NN cord-331771-fhy98qt4 57 27 will will MD cord-331771-fhy98qt4 57 28 begin begin VB cord-331771-fhy98qt4 57 29 . . . cord-331771-fhy98qt4 58 1 When when WRB cord-331771-fhy98qt4 58 2 a a DT cord-331771-fhy98qt4 58 3 node node NN cord-331771-fhy98qt4 58 4 receives receive VBZ cord-331771-fhy98qt4 58 5 a a DT cord-331771-fhy98qt4 58 6 piece piece NN cord-331771-fhy98qt4 58 7 of of IN cord-331771-fhy98qt4 58 8 rumor rumor NN cord-331771-fhy98qt4 58 9 or or CC cord-331771-fhy98qt4 58 10 knowledge knowledge NN cord-331771-fhy98qt4 58 11 , , , cord-331771-fhy98qt4 58 12 s s NN cord-331771-fhy98qt4 58 13 / / SYM cord-331771-fhy98qt4 58 14 he -PRON- PRP cord-331771-fhy98qt4 58 15 is be VBZ cord-331771-fhy98qt4 58 16 likely likely JJ cord-331771-fhy98qt4 58 17 to to TO cord-331771-fhy98qt4 58 18 take take VB cord-331771-fhy98qt4 58 19 corresponding corresponding JJ cord-331771-fhy98qt4 58 20 protective protective JJ cord-331771-fhy98qt4 58 21 measures measure NNS cord-331771-fhy98qt4 58 22 . . . cord-331771-fhy98qt4 59 1 We -PRON- PRP cord-331771-fhy98qt4 59 2 use use VBP cord-331771-fhy98qt4 59 3 three three CD cord-331771-fhy98qt4 59 4 methods method NNS cord-331771-fhy98qt4 59 5 to to TO cord-331771-fhy98qt4 59 6 analyze analyze VB cord-331771-fhy98qt4 59 7 the the DT cord-331771-fhy98qt4 59 8 model model NN cord-331771-fhy98qt4 59 9 : : : cord-331771-fhy98qt4 59 10 numerical numerical JJ cord-331771-fhy98qt4 59 11 prediction prediction NN cord-331771-fhy98qt4 59 12 , , , cord-331771-fhy98qt4 59 13 agent agent NN cord-331771-fhy98qt4 59 14 - - HYPH cord-331771-fhy98qt4 59 15 based base VBN cord-331771-fhy98qt4 59 16 simulation simulation NN cord-331771-fhy98qt4 59 17 and and CC cord-331771-fhy98qt4 59 18 mean mean JJ cord-331771-fhy98qt4 59 19 - - HYPH cord-331771-fhy98qt4 59 20 field field NN cord-331771-fhy98qt4 59 21 analysis analysis NN cord-331771-fhy98qt4 59 22 . . . cord-331771-fhy98qt4 60 1 The the DT cord-331771-fhy98qt4 60 2 results result NNS cord-331771-fhy98qt4 60 3 of of IN cord-331771-fhy98qt4 60 4 the the DT cord-331771-fhy98qt4 60 5 three three CD cord-331771-fhy98qt4 60 6 methods method NNS cord-331771-fhy98qt4 60 7 are be VBP cord-331771-fhy98qt4 60 8 very very RB cord-331771-fhy98qt4 60 9 close close JJ cord-331771-fhy98qt4 60 10 . . . cord-331771-fhy98qt4 61 1 Based base VBN cord-331771-fhy98qt4 61 2 on on IN cord-331771-fhy98qt4 61 3 the the DT cord-331771-fhy98qt4 61 4 results result NNS cord-331771-fhy98qt4 61 5 , , , cord-331771-fhy98qt4 61 6 we -PRON- PRP cord-331771-fhy98qt4 61 7 summarize summarize VBP cord-331771-fhy98qt4 61 8 three three CD cord-331771-fhy98qt4 61 9 main main JJ cord-331771-fhy98qt4 61 10 findings finding NNS cord-331771-fhy98qt4 61 11 . . . cord-331771-fhy98qt4 62 1 First first RB cord-331771-fhy98qt4 62 2 , , , cord-331771-fhy98qt4 62 3 the the DT cord-331771-fhy98qt4 62 4 diffusion diffusion NN cord-331771-fhy98qt4 62 5 of of IN cord-331771-fhy98qt4 62 6 knowledge knowledge NN cord-331771-fhy98qt4 62 7 can can MD cord-331771-fhy98qt4 62 8 not not RB cord-331771-fhy98qt4 62 9 only only RB cord-331771-fhy98qt4 62 10 eradicate eradicate VB cord-331771-fhy98qt4 62 11 rumor rumor NN cord-331771-fhy98qt4 62 12 , , , cord-331771-fhy98qt4 62 13 but but CC cord-331771-fhy98qt4 62 14 also also RB cord-331771-fhy98qt4 62 15 help help VB cord-331771-fhy98qt4 62 16 to to TO cord-331771-fhy98qt4 62 17 eradicate eradicate VB cord-331771-fhy98qt4 62 18 the the DT cord-331771-fhy98qt4 62 19 epidemic epidemic NN cord-331771-fhy98qt4 62 20 , , , cord-331771-fhy98qt4 62 21 and and CC cord-331771-fhy98qt4 62 22 the the DT cord-331771-fhy98qt4 62 23 penetration penetration NN cord-331771-fhy98qt4 62 24 of of IN cord-331771-fhy98qt4 62 25 knowledge knowledge NN cord-331771-fhy98qt4 62 26 into into IN cord-331771-fhy98qt4 62 27 rumor rumor NN cord-331771-fhy98qt4 62 28 plays play VBZ cord-331771-fhy98qt4 62 29 a a DT cord-331771-fhy98qt4 62 30 key key JJ cord-331771-fhy98qt4 62 31 role role NN cord-331771-fhy98qt4 62 32 . . . cord-331771-fhy98qt4 63 1 We -PRON- PRP cord-331771-fhy98qt4 63 2 analyzed analyze VBD cord-331771-fhy98qt4 63 3 the the DT cord-331771-fhy98qt4 63 4 relationship relationship NN cord-331771-fhy98qt4 63 5 of of IN cord-331771-fhy98qt4 63 6 the the DT cord-331771-fhy98qt4 63 7 outbreak outbreak NN cord-331771-fhy98qt4 63 8 thresholds threshold NNS cord-331771-fhy98qt4 63 9 ( ( -LRB- cord-331771-fhy98qt4 63 10 of of IN cord-331771-fhy98qt4 63 11 rumor rumor NN cord-331771-fhy98qt4 63 12 and and CC cord-331771-fhy98qt4 63 13 of of IN cord-331771-fhy98qt4 63 14 epidemic epidemic NN cord-331771-fhy98qt4 63 15 ) ) -RRB- cord-331771-fhy98qt4 63 16 with with IN cord-331771-fhy98qt4 63 17 the the DT cord-331771-fhy98qt4 63 18 penetration penetration NN cord-331771-fhy98qt4 63 19 intensity intensity NN cord-331771-fhy98qt4 63 20 of of IN cord-331771-fhy98qt4 63 21 knowledge knowledge NN cord-331771-fhy98qt4 63 22 into into IN cord-331771-fhy98qt4 63 23 rumor rumor NN cord-331771-fhy98qt4 63 24 . . . cord-331771-fhy98qt4 64 1 In in IN cord-331771-fhy98qt4 64 2 the the DT cord-331771-fhy98qt4 64 3 communication communication NN cord-331771-fhy98qt4 64 4 - - HYPH cord-331771-fhy98qt4 64 5 layer layer NN cord-331771-fhy98qt4 64 6 network network NN cord-331771-fhy98qt4 64 7 , , , cord-331771-fhy98qt4 64 8 when when WRB cord-331771-fhy98qt4 64 9 the the DT cord-331771-fhy98qt4 64 10 penetration penetration NN cord-331771-fhy98qt4 64 11 intensity intensity NN cord-331771-fhy98qt4 64 12 of of IN cord-331771-fhy98qt4 64 13 knowledge knowledge NN cord-331771-fhy98qt4 64 14 is be VBZ cord-331771-fhy98qt4 64 15 increased increase VBN cord-331771-fhy98qt4 64 16 , , , cord-331771-fhy98qt4 64 17 the the DT cord-331771-fhy98qt4 64 18 rumor rumor NN cord-331771-fhy98qt4 64 19 outbreak outbreak NN cord-331771-fhy98qt4 64 20 threshold threshold NN cord-331771-fhy98qt4 64 21 is be VBZ cord-331771-fhy98qt4 64 22 increased increase VBN cord-331771-fhy98qt4 64 23 linearly linearly RB cord-331771-fhy98qt4 64 24 , , , cord-331771-fhy98qt4 64 25 so so IN cord-331771-fhy98qt4 64 26 that that IN cord-331771-fhy98qt4 64 27 the the DT cord-331771-fhy98qt4 64 28 rumor rumor NN cord-331771-fhy98qt4 64 29 becomes become VBZ cord-331771-fhy98qt4 64 30 easier easy JJR cord-331771-fhy98qt4 64 31 to to TO cord-331771-fhy98qt4 64 32 control control VB cord-331771-fhy98qt4 64 33 . . . cord-331771-fhy98qt4 65 1 In in IN cord-331771-fhy98qt4 65 2 the the DT cord-331771-fhy98qt4 65 3 contact contact NN cord-331771-fhy98qt4 65 4 - - HYPH cord-331771-fhy98qt4 65 5 layer layer NN cord-331771-fhy98qt4 65 6 network network NN cord-331771-fhy98qt4 65 7 , , , cord-331771-fhy98qt4 65 8 no no RB cord-331771-fhy98qt4 65 9 matter matter RB cord-331771-fhy98qt4 65 10 whether whether IN cord-331771-fhy98qt4 65 11 the the DT cord-331771-fhy98qt4 65 12 self self NN cord-331771-fhy98qt4 65 13 - - HYPH cord-331771-fhy98qt4 65 14 protective protective JJ cord-331771-fhy98qt4 65 15 measure measure NN cord-331771-fhy98qt4 65 16 is be VBZ cord-331771-fhy98qt4 65 17 perfectly perfectly RB cord-331771-fhy98qt4 65 18 effective effective JJ cord-331771-fhy98qt4 65 19 or or CC cord-331771-fhy98qt4 65 20 not not RB cord-331771-fhy98qt4 65 21 , , , cord-331771-fhy98qt4 65 22 the the DT cord-331771-fhy98qt4 65 23 threshold threshold NN cord-331771-fhy98qt4 65 24 of of IN cord-331771-fhy98qt4 65 25 epidemic epidemic JJ cord-331771-fhy98qt4 65 26 outbreak outbreak NN cord-331771-fhy98qt4 65 27 increases increase VBZ cord-331771-fhy98qt4 65 28 nonlinearly nonlinearly RB cord-331771-fhy98qt4 65 29 with with IN cord-331771-fhy98qt4 65 30 the the DT cord-331771-fhy98qt4 65 31 penetration penetration NN cord-331771-fhy98qt4 65 32 intensity intensity NN cord-331771-fhy98qt4 65 33 of of IN cord-331771-fhy98qt4 65 34 knowledge knowledge NN cord-331771-fhy98qt4 65 35 , , , cord-331771-fhy98qt4 65 36 but but CC cord-331771-fhy98qt4 65 37 only only RB cord-331771-fhy98qt4 65 38 if if IN cord-331771-fhy98qt4 65 39 the the DT cord-331771-fhy98qt4 65 40 penetration penetration NN cord-331771-fhy98qt4 65 41 intensity intensity NN cord-331771-fhy98qt4 65 42 of of IN cord-331771-fhy98qt4 65 43 knowledge knowledge NN cord-331771-fhy98qt4 65 44 is be VBZ cord-331771-fhy98qt4 65 45 large large JJ cord-331771-fhy98qt4 65 46 enough enough RB cord-331771-fhy98qt4 65 47 to to TO cord-331771-fhy98qt4 65 48 make make VB cord-331771-fhy98qt4 65 49 the the DT cord-331771-fhy98qt4 65 50 knowledge knowledge NN cord-331771-fhy98qt4 65 51 widely widely RB cord-331771-fhy98qt4 65 52 spread spread VBN cord-331771-fhy98qt4 65 53 . . . cord-331771-fhy98qt4 66 1 Second second RB cord-331771-fhy98qt4 66 2 , , , cord-331771-fhy98qt4 66 3 it -PRON- PRP cord-331771-fhy98qt4 66 4 is be VBZ cord-331771-fhy98qt4 66 5 not not RB cord-331771-fhy98qt4 66 6 necessary necessary JJ cord-331771-fhy98qt4 66 7 to to TO cord-331771-fhy98qt4 66 8 eradicate eradicate VB cord-331771-fhy98qt4 66 9 rumor rumor NN cord-331771-fhy98qt4 66 10 in in IN cord-331771-fhy98qt4 66 11 order order NN cord-331771-fhy98qt4 66 12 to to TO cord-331771-fhy98qt4 66 13 eradicate eradicate VB cord-331771-fhy98qt4 66 14 epidemic epidemic NN cord-331771-fhy98qt4 66 15 . . . cord-331771-fhy98qt4 67 1 Eradicating eradicate VBG cord-331771-fhy98qt4 67 2 rumor rumor NN cord-331771-fhy98qt4 67 3 is be VBZ cord-331771-fhy98qt4 67 4 undoubtedly undoubtedly RB cord-331771-fhy98qt4 67 5 helpful helpful JJ cord-331771-fhy98qt4 67 6 to to TO cord-331771-fhy98qt4 67 7 contain contain VB cord-331771-fhy98qt4 67 8 the the DT cord-331771-fhy98qt4 67 9 epidemic epidemic NN cord-331771-fhy98qt4 67 10 , , , cord-331771-fhy98qt4 67 11 but but CC cord-331771-fhy98qt4 67 12 it -PRON- PRP cord-331771-fhy98qt4 67 13 may may MD cord-331771-fhy98qt4 67 14 cost cost VB cord-331771-fhy98qt4 67 15 too too RB cord-331771-fhy98qt4 67 16 much much JJ cord-331771-fhy98qt4 67 17 . . . cord-331771-fhy98qt4 68 1 When when WRB cord-331771-fhy98qt4 68 2 there there EX cord-331771-fhy98qt4 68 3 are be VBP cord-331771-fhy98qt4 68 4 enough enough JJ cord-331771-fhy98qt4 68 5 knowledge knowledge NN cord-331771-fhy98qt4 68 6 - - HYPH cord-331771-fhy98qt4 68 7 believed believe VBN cord-331771-fhy98qt4 68 8 nodes node NNS cord-331771-fhy98qt4 68 9 , , , cord-331771-fhy98qt4 68 10 the the DT cord-331771-fhy98qt4 68 11 epidemic epidemic NN cord-331771-fhy98qt4 68 12 outbreak outbreak NN cord-331771-fhy98qt4 68 13 threshold threshold NN cord-331771-fhy98qt4 68 14 will will MD cord-331771-fhy98qt4 68 15 be be VB cord-331771-fhy98qt4 68 16 increased increase VBN cord-331771-fhy98qt4 68 17 greatly greatly RB cord-331771-fhy98qt4 68 18 . . . cord-331771-fhy98qt4 69 1 Our -PRON- PRP$ cord-331771-fhy98qt4 69 2 results result NNS cord-331771-fhy98qt4 69 3 show show VBP cord-331771-fhy98qt4 69 4 that that IN cord-331771-fhy98qt4 69 5 when when WRB cord-331771-fhy98qt4 69 6 rumor rumor NN cord-331771-fhy98qt4 69 7 and and CC cord-331771-fhy98qt4 69 8 knowledge knowledge NN cord-331771-fhy98qt4 69 9 are be VBP cord-331771-fhy98qt4 69 10 diffusing diffuse VBG cord-331771-fhy98qt4 69 11 simultaneously simultaneously RB cord-331771-fhy98qt4 69 12 in in IN cord-331771-fhy98qt4 69 13 the the DT cord-331771-fhy98qt4 69 14 communication communication NN cord-331771-fhy98qt4 69 15 - - HYPH cord-331771-fhy98qt4 69 16 layer layer NN cord-331771-fhy98qt4 69 17 network network NN cord-331771-fhy98qt4 69 18 , , , cord-331771-fhy98qt4 69 19 the the DT cord-331771-fhy98qt4 69 20 epidemic epidemic NN cord-331771-fhy98qt4 69 21 can can MD cord-331771-fhy98qt4 69 22 also also RB cord-331771-fhy98qt4 69 23 be be VB cord-331771-fhy98qt4 69 24 eradicated eradicate VBN cord-331771-fhy98qt4 69 25 by by IN cord-331771-fhy98qt4 69 26 the the DT cord-331771-fhy98qt4 69 27 diffusion diffusion NN cord-331771-fhy98qt4 69 28 of of IN cord-331771-fhy98qt4 69 29 knowledge knowledge NN cord-331771-fhy98qt4 69 30 . . . cord-331771-fhy98qt4 70 1 However however RB cord-331771-fhy98qt4 70 2 , , , cord-331771-fhy98qt4 70 3 it -PRON- PRP cord-331771-fhy98qt4 70 4 should should MD cord-331771-fhy98qt4 70 5 be be VB cord-331771-fhy98qt4 70 6 noted note VBN cord-331771-fhy98qt4 70 7 that that IN cord-331771-fhy98qt4 70 8 when when WRB cord-331771-fhy98qt4 70 9 rumor rumor NN cord-331771-fhy98qt4 70 10 is be VBZ cord-331771-fhy98qt4 70 11 eradicated eradicate VBN cord-331771-fhy98qt4 70 12 , , , cord-331771-fhy98qt4 70 13 if if IN cord-331771-fhy98qt4 70 14 the the DT cord-331771-fhy98qt4 70 15 effectiveness effectiveness NN cord-331771-fhy98qt4 70 16 of of IN cord-331771-fhy98qt4 70 17 self self NN cord-331771-fhy98qt4 70 18 - - HYPH cord-331771-fhy98qt4 70 19 protective protective JJ cord-331771-fhy98qt4 70 20 measures measure NNS cord-331771-fhy98qt4 70 21 is be VBZ cord-331771-fhy98qt4 70 22 very very RB cord-331771-fhy98qt4 70 23 low low JJ cord-331771-fhy98qt4 70 24 , , , cord-331771-fhy98qt4 70 25 the the DT cord-331771-fhy98qt4 70 26 epidemic epidemic NN cord-331771-fhy98qt4 70 27 may may MD cord-331771-fhy98qt4 70 28 not not RB cord-331771-fhy98qt4 70 29 be be VB cord-331771-fhy98qt4 70 30 eradicated eradicate VBN cord-331771-fhy98qt4 70 31 . . . cord-331771-fhy98qt4 71 1 Third third RB cord-331771-fhy98qt4 71 2 , , , cord-331771-fhy98qt4 71 3 the the DT cord-331771-fhy98qt4 71 4 topology topology NN cord-331771-fhy98qt4 71 5 structure structure NN cord-331771-fhy98qt4 71 6 of of IN cord-331771-fhy98qt4 71 7 the the DT cord-331771-fhy98qt4 71 8 communication communication NN cord-331771-fhy98qt4 71 9 - - HYPH cord-331771-fhy98qt4 71 10 layer layer NN cord-331771-fhy98qt4 71 11 network network NN cord-331771-fhy98qt4 71 12 is be VBZ cord-331771-fhy98qt4 71 13 very very RB cord-331771-fhy98qt4 71 14 important important JJ cord-331771-fhy98qt4 71 15 for for IN cord-331771-fhy98qt4 71 16 eradicating eradicate VBG cord-331771-fhy98qt4 71 17 epidemic epidemic NN cord-331771-fhy98qt4 71 18 in in IN cord-331771-fhy98qt4 71 19 the the DT cord-331771-fhy98qt4 71 20 contact contact NN cord-331771-fhy98qt4 71 21 - - HYPH cord-331771-fhy98qt4 71 22 layer layer NN cord-331771-fhy98qt4 71 23 network network NN cord-331771-fhy98qt4 71 24 . . . cord-331771-fhy98qt4 72 1 When when WRB cord-331771-fhy98qt4 72 2 more more JJR cord-331771-fhy98qt4 72 3 links link NNS cord-331771-fhy98qt4 72 4 are be VBP cord-331771-fhy98qt4 72 5 added add VBN cord-331771-fhy98qt4 72 6 to to IN cord-331771-fhy98qt4 72 7 the the DT cord-331771-fhy98qt4 72 8 communication communication NN cord-331771-fhy98qt4 72 9 - - HYPH cord-331771-fhy98qt4 72 10 layer layer NN cord-331771-fhy98qt4 72 11 network network NN cord-331771-fhy98qt4 72 12 , , , cord-331771-fhy98qt4 72 13 which which WDT cord-331771-fhy98qt4 72 14 allows allow VBZ cord-331771-fhy98qt4 72 15 people people NNS cord-331771-fhy98qt4 72 16 to to TO cord-331771-fhy98qt4 72 17 receive receive VB cord-331771-fhy98qt4 72 18 information information NN cord-331771-fhy98qt4 72 19 from from IN cord-331771-fhy98qt4 72 20 more more JJR cord-331771-fhy98qt4 72 21 sources source NNS cord-331771-fhy98qt4 72 22 , , , cord-331771-fhy98qt4 72 23 knowledge knowledge NN cord-331771-fhy98qt4 72 24 is be VBZ cord-331771-fhy98qt4 72 25 more more RBR cord-331771-fhy98qt4 72 26 likely likely JJ cord-331771-fhy98qt4 72 27 to to TO cord-331771-fhy98qt4 72 28 break break VB cord-331771-fhy98qt4 72 29 out out RP cord-331771-fhy98qt4 72 30 , , , cord-331771-fhy98qt4 72 31 and and CC cord-331771-fhy98qt4 72 32 rumor rumor NN cord-331771-fhy98qt4 72 33 and and CC cord-331771-fhy98qt4 72 34 epidemic epidemic NN cord-331771-fhy98qt4 72 35 are be VBP cord-331771-fhy98qt4 72 36 more more RBR cord-331771-fhy98qt4 72 37 likely likely JJ cord-331771-fhy98qt4 72 38 to to TO cord-331771-fhy98qt4 72 39 be be VB cord-331771-fhy98qt4 72 40 eradicated eradicate VBN cord-331771-fhy98qt4 72 41 . . . cord-331771-fhy98qt4 73 1 In in IN cord-331771-fhy98qt4 73 2 addition addition NN cord-331771-fhy98qt4 73 3 , , , cord-331771-fhy98qt4 73 4 in in IN cord-331771-fhy98qt4 73 5 a a DT cord-331771-fhy98qt4 73 6 sparse sparse JJ cord-331771-fhy98qt4 73 7 communicationlayer communicationlayer NNP cord-331771-fhy98qt4 73 8 network network NN cord-331771-fhy98qt4 73 9 , , , cord-331771-fhy98qt4 73 10 a a DT cord-331771-fhy98qt4 73 11 higher high JJR cord-331771-fhy98qt4 73 12 penetration penetration NN cord-331771-fhy98qt4 73 13 intensity intensity NN cord-331771-fhy98qt4 73 14 of of IN cord-331771-fhy98qt4 73 15 knowledge knowledge NN cord-331771-fhy98qt4 73 16 into into IN cord-331771-fhy98qt4 73 17 rumor rumor NN cord-331771-fhy98qt4 73 18 is be VBZ cord-331771-fhy98qt4 73 19 required require VBN cord-331771-fhy98qt4 73 20 to to TO cord-331771-fhy98qt4 73 21 diffuse diffuse VB cord-331771-fhy98qt4 73 22 the the DT cord-331771-fhy98qt4 73 23 knowledge knowledge NN cord-331771-fhy98qt4 73 24 . . . cord-331771-fhy98qt4 74 1 The the DT cord-331771-fhy98qt4 74 2 coupled coupled JJ cord-331771-fhy98qt4 74 3 dynamics dynamic NNS cord-331771-fhy98qt4 74 4 of of IN cord-331771-fhy98qt4 74 5 information information NN cord-331771-fhy98qt4 74 6 diffusion diffusion NN cord-331771-fhy98qt4 74 7 and and CC cord-331771-fhy98qt4 74 8 epidemic epidemic NN cord-331771-fhy98qt4 74 9 spreading spreading NN cord-331771-fhy98qt4 74 10 have have VBP cord-331771-fhy98qt4 74 11 been be VBN cord-331771-fhy98qt4 74 12 extensively extensively RB cord-331771-fhy98qt4 74 13 studied study VBN cord-331771-fhy98qt4 74 14 [ [ -LRB- cord-331771-fhy98qt4 74 15 18 18 CD cord-331771-fhy98qt4 74 16 , , , cord-331771-fhy98qt4 74 17 21 21 CD cord-331771-fhy98qt4 74 18 , , , cord-331771-fhy98qt4 74 19 30 30 CD cord-331771-fhy98qt4 74 20 , , , cord-331771-fhy98qt4 74 21 31 31 CD cord-331771-fhy98qt4 74 22 ] ] -RRB- cord-331771-fhy98qt4 74 23 . . . cord-331771-fhy98qt4 75 1 A a DT cord-331771-fhy98qt4 75 2 typical typical JJ cord-331771-fhy98qt4 75 3 method method NN cord-331771-fhy98qt4 75 4 is be VBZ cord-331771-fhy98qt4 75 5 to to TO cord-331771-fhy98qt4 75 6 build build VB cord-331771-fhy98qt4 75 7 a a DT cord-331771-fhy98qt4 75 8 two two CD cord-331771-fhy98qt4 75 9 - - HYPH cord-331771-fhy98qt4 75 10 layer layer NN cord-331771-fhy98qt4 75 11 network network NN cord-331771-fhy98qt4 75 12 , , , cord-331771-fhy98qt4 75 13 with with IN cord-331771-fhy98qt4 75 14 one one CD cord-331771-fhy98qt4 75 15 layer layer NN cord-331771-fhy98qt4 75 16 to to TO cord-331771-fhy98qt4 75 17 model model VB cord-331771-fhy98qt4 75 18 the the DT cord-331771-fhy98qt4 75 19 diffusion diffusion NN cord-331771-fhy98qt4 75 20 of of IN cord-331771-fhy98qt4 75 21 information information NN cord-331771-fhy98qt4 75 22 , , , cord-331771-fhy98qt4 75 23 and and CC cord-331771-fhy98qt4 75 24 the the DT cord-331771-fhy98qt4 75 25 other other JJ cord-331771-fhy98qt4 75 26 layer layer NN cord-331771-fhy98qt4 75 27 to to TO cord-331771-fhy98qt4 75 28 model model VB cord-331771-fhy98qt4 75 29 the the DT cord-331771-fhy98qt4 75 30 spread spread NN cord-331771-fhy98qt4 75 31 of of IN cord-331771-fhy98qt4 75 32 epidemic epidemic NN cord-331771-fhy98qt4 75 33 [ [ -LRB- cord-331771-fhy98qt4 75 34 32 32 CD cord-331771-fhy98qt4 75 35 ] ] -RRB- cord-331771-fhy98qt4 75 36 [ [ -LRB- cord-331771-fhy98qt4 75 37 33 33 CD cord-331771-fhy98qt4 75 38 ] ] -RRB- cord-331771-fhy98qt4 75 39 [ [ -LRB- cord-331771-fhy98qt4 75 40 34 34 CD cord-331771-fhy98qt4 75 41 ] ] -RRB- cord-331771-fhy98qt4 75 42 [ [ -LRB- cord-331771-fhy98qt4 75 43 35 35 CD cord-331771-fhy98qt4 75 44 ] ] -RRB- cord-331771-fhy98qt4 75 45 [ [ -LRB- cord-331771-fhy98qt4 75 46 36 36 CD cord-331771-fhy98qt4 75 47 ] ] -RRB- cord-331771-fhy98qt4 75 48 . . . cord-331771-fhy98qt4 76 1 For for IN cord-331771-fhy98qt4 76 2 this this DT cord-331771-fhy98qt4 76 3 research research NN cord-331771-fhy98qt4 76 4 , , , cord-331771-fhy98qt4 76 5 such such JJ cord-331771-fhy98qt4 76 6 method method NN cord-331771-fhy98qt4 76 7 is be VBZ cord-331771-fhy98qt4 76 8 more more RBR cord-331771-fhy98qt4 76 9 necessary necessary JJ cord-331771-fhy98qt4 76 10 because because IN cord-331771-fhy98qt4 76 11 there there EX cord-331771-fhy98qt4 76 12 are be VBP cord-331771-fhy98qt4 76 13 two two CD cord-331771-fhy98qt4 76 14 competitive competitive JJ cord-331771-fhy98qt4 76 15 dynamics dynamic NNS cord-331771-fhy98qt4 76 16 for for IN cord-331771-fhy98qt4 76 17 information information NN cord-331771-fhy98qt4 76 18 diffusion diffusion NN cord-331771-fhy98qt4 76 19 . . . cord-331771-fhy98qt4 77 1 The the DT cord-331771-fhy98qt4 77 2 structure structure NN cord-331771-fhy98qt4 77 3 of of IN cord-331771-fhy98qt4 77 4 the the DT cord-331771-fhy98qt4 77 5 two two CD cord-331771-fhy98qt4 77 6 - - HYPH cord-331771-fhy98qt4 77 7 layer layer NN cord-331771-fhy98qt4 77 8 network network NN cord-331771-fhy98qt4 77 9 is be VBZ cord-331771-fhy98qt4 77 10 presented present VBN cord-331771-fhy98qt4 77 11 in in IN cord-331771-fhy98qt4 77 12 Fig Fig NNP cord-331771-fhy98qt4 77 13 . . . cord-331771-fhy98qt4 78 1 1 1 LS cord-331771-fhy98qt4 78 2 . . . cord-331771-fhy98qt4 79 1 The the DT cord-331771-fhy98qt4 79 2 nodes node NNS cord-331771-fhy98qt4 79 3 in in IN cord-331771-fhy98qt4 79 4 the the DT cord-331771-fhy98qt4 79 5 two two CD cord-331771-fhy98qt4 79 6 layers layer NNS cord-331771-fhy98qt4 79 7 are be VBP cord-331771-fhy98qt4 79 8 the the DT cord-331771-fhy98qt4 79 9 same same JJ cord-331771-fhy98qt4 79 10 , , , cord-331771-fhy98qt4 79 11 while while IN cord-331771-fhy98qt4 79 12 the the DT cord-331771-fhy98qt4 79 13 links link NNS cord-331771-fhy98qt4 79 14 are be VBP cord-331771-fhy98qt4 79 15 not not RB cord-331771-fhy98qt4 79 16 exactly exactly RB cord-331771-fhy98qt4 79 17 the the DT cord-331771-fhy98qt4 79 18 same same JJ cord-331771-fhy98qt4 79 19 . . . cord-331771-fhy98qt4 80 1 Wang Wang NNP cord-331771-fhy98qt4 80 2 et et NNP cord-331771-fhy98qt4 80 3 al al NNP cord-331771-fhy98qt4 80 4 . . . cord-331771-fhy98qt4 81 1 considered consider VBN cord-331771-fhy98qt4 81 2 a a DT cord-331771-fhy98qt4 81 3 case case NN cord-331771-fhy98qt4 81 4 that that IN cord-331771-fhy98qt4 81 5 the the DT cord-331771-fhy98qt4 81 6 links link NNS cord-331771-fhy98qt4 81 7 in in IN cord-331771-fhy98qt4 81 8 the the DT cord-331771-fhy98qt4 81 9 two two CD cord-331771-fhy98qt4 81 10 layers layer NNS cord-331771-fhy98qt4 81 11 are be VBP cord-331771-fhy98qt4 81 12 uncorrelated uncorrelated JJ cord-331771-fhy98qt4 81 13 [ [ -LRB- cord-331771-fhy98qt4 81 14 27 27 CD cord-331771-fhy98qt4 81 15 ] ] -RRB- cord-331771-fhy98qt4 81 16 . . . cord-331771-fhy98qt4 82 1 Some some DT cord-331771-fhy98qt4 82 2 other other JJ cord-331771-fhy98qt4 82 3 researches research NNS cord-331771-fhy98qt4 82 4 proposed propose VBD cord-331771-fhy98qt4 82 5 a a DT cord-331771-fhy98qt4 82 6 coefficient coefficient NN cord-331771-fhy98qt4 82 7 to to TO cord-331771-fhy98qt4 82 8 denote denote VB cord-331771-fhy98qt4 82 9 the the DT cord-331771-fhy98qt4 82 10 overlap overlap NN cord-331771-fhy98qt4 82 11 ( ( -LRB- cord-331771-fhy98qt4 82 12 or or CC cord-331771-fhy98qt4 82 13 correlation correlation NN cord-331771-fhy98qt4 82 14 ) ) -RRB- cord-331771-fhy98qt4 82 15 of of IN cord-331771-fhy98qt4 82 16 links link NNS cord-331771-fhy98qt4 82 17 in in IN cord-331771-fhy98qt4 82 18 the the DT cord-331771-fhy98qt4 82 19 two two CD cord-331771-fhy98qt4 82 20 layers layer NNS cord-331771-fhy98qt4 82 21 [ [ -LRB- cord-331771-fhy98qt4 82 22 30 30 CD cord-331771-fhy98qt4 82 23 , , , cord-331771-fhy98qt4 82 24 37 37 CD cord-331771-fhy98qt4 82 25 ] ] -RRB- cord-331771-fhy98qt4 82 26 . . . cord-331771-fhy98qt4 83 1 In in IN cord-331771-fhy98qt4 83 2 this this DT cord-331771-fhy98qt4 83 3 research research NN cord-331771-fhy98qt4 83 4 , , , cord-331771-fhy98qt4 83 5 we -PRON- PRP cord-331771-fhy98qt4 83 6 propose propose VBP cord-331771-fhy98qt4 83 7 a a DT cord-331771-fhy98qt4 83 8 different different JJ cord-331771-fhy98qt4 83 9 overlapping overlapping JJ cord-331771-fhy98qt4 83 10 method method NN cord-331771-fhy98qt4 83 11 1 1 CD cord-331771-fhy98qt4 83 12 . . . cord-331771-fhy98qt4 84 1 We -PRON- PRP cord-331771-fhy98qt4 84 2 assume assume VBP cord-331771-fhy98qt4 84 3 that that IN cord-331771-fhy98qt4 84 4 the the DT cord-331771-fhy98qt4 84 5 communication communication NN cord-331771-fhy98qt4 84 6 - - HYPH cord-331771-fhy98qt4 84 7 layer layer NN cord-331771-fhy98qt4 84 8 network network NN cord-331771-fhy98qt4 84 9 is be VBZ cord-331771-fhy98qt4 84 10 the the DT cord-331771-fhy98qt4 84 11 extension extension NN cord-331771-fhy98qt4 84 12 of of IN cord-331771-fhy98qt4 84 13 the the DT cord-331771-fhy98qt4 84 14 contactlayer contactlayer NNP cord-331771-fhy98qt4 84 15 network network NN cord-331771-fhy98qt4 84 16 . . . cord-331771-fhy98qt4 85 1 It -PRON- PRP cord-331771-fhy98qt4 85 2 is be VBZ cord-331771-fhy98qt4 85 3 because because IN cord-331771-fhy98qt4 85 4 that that IN cord-331771-fhy98qt4 85 5 the the DT cord-331771-fhy98qt4 85 6 spread spread NN cord-331771-fhy98qt4 85 7 of of IN cord-331771-fhy98qt4 85 8 epidemic epidemic NN cord-331771-fhy98qt4 85 9 is be VBZ cord-331771-fhy98qt4 85 10 based base VBN cord-331771-fhy98qt4 85 11 on on IN cord-331771-fhy98qt4 85 12 offline offline JJ cord-331771-fhy98qt4 85 13 contact contact NN cord-331771-fhy98qt4 85 14 , , , cord-331771-fhy98qt4 85 15 while while IN cord-331771-fhy98qt4 85 16 the the DT cord-331771-fhy98qt4 85 17 diffusion diffusion NN cord-331771-fhy98qt4 85 18 of of IN cord-331771-fhy98qt4 85 19 information information NN cord-331771-fhy98qt4 85 20 can can MD cord-331771-fhy98qt4 85 21 be be VB cord-331771-fhy98qt4 85 22 induced induce VBN cord-331771-fhy98qt4 85 23 by by IN cord-331771-fhy98qt4 85 24 both both DT cord-331771-fhy98qt4 85 25 online online JJ cord-331771-fhy98qt4 85 26 and and CC cord-331771-fhy98qt4 85 27 offline offline JJ cord-331771-fhy98qt4 85 28 communication communication NN cord-331771-fhy98qt4 85 29 . . . cord-331771-fhy98qt4 86 1 People People NNS cord-331771-fhy98qt4 86 2 may may MD cord-331771-fhy98qt4 86 3 never never RB cord-331771-fhy98qt4 86 4 have have VB cord-331771-fhy98qt4 86 5 any any DT cord-331771-fhy98qt4 86 6 face face NN cord-331771-fhy98qt4 86 7 - - HYPH cord-331771-fhy98qt4 86 8 to to IN cord-331771-fhy98qt4 86 9 - - HYPH cord-331771-fhy98qt4 86 10 face face NN cord-331771-fhy98qt4 86 11 contact contact NN cord-331771-fhy98qt4 86 12 with with IN cord-331771-fhy98qt4 86 13 some some DT cord-331771-fhy98qt4 86 14 online online JJ cord-331771-fhy98qt4 86 15 friends friend NNS cord-331771-fhy98qt4 86 16 . . . cord-331771-fhy98qt4 87 1 To to TO cord-331771-fhy98qt4 87 2 build build VB cord-331771-fhy98qt4 87 3 the the DT cord-331771-fhy98qt4 87 4 two two CD cord-331771-fhy98qt4 87 5 - - HYPH cord-331771-fhy98qt4 87 6 layer layer NN cord-331771-fhy98qt4 87 7 network network NN cord-331771-fhy98qt4 87 8 , , , cord-331771-fhy98qt4 87 9 we -PRON- PRP cord-331771-fhy98qt4 87 10 first first RB cord-331771-fhy98qt4 87 11 create create VBP cord-331771-fhy98qt4 87 12 a a DT cord-331771-fhy98qt4 87 13 random random JJ cord-331771-fhy98qt4 87 14 network network NN cord-331771-fhy98qt4 87 15 of of IN cord-331771-fhy98qt4 87 16 node node NN cord-331771-fhy98qt4 87 17 count count NNP cord-331771-fhy98qt4 87 18 N N NNP cord-331771-fhy98qt4 87 19 and and CC cord-331771-fhy98qt4 88 1 average average JJ cord-331771-fhy98qt4 88 2 node node NN cord-331771-fhy98qt4 88 3 degree degree NN cord-331771-fhy98qt4 88 4 k k NNP cord-331771-fhy98qt4 88 5 using use VBG cord-331771-fhy98qt4 88 6 the the DT cord-331771-fhy98qt4 88 7 classical classical JJ cord-331771-fhy98qt4 88 8 Watts Watts NNP cord-331771-fhy98qt4 88 9 - - HYPH cord-331771-fhy98qt4 88 10 Strogatz Strogatz NNP cord-331771-fhy98qt4 88 11 ( ( -LRB- cord-331771-fhy98qt4 88 12 WS WS NNP cord-331771-fhy98qt4 88 13 ) ) -RRB- cord-331771-fhy98qt4 88 14 network network NN cord-331771-fhy98qt4 88 15 model model NN cord-331771-fhy98qt4 88 16 [ [ -LRB- cord-331771-fhy98qt4 88 17 38 38 CD cord-331771-fhy98qt4 88 18 ] ] -RRB- cord-331771-fhy98qt4 88 19 . . . cord-331771-fhy98qt4 89 1 The the DT cord-331771-fhy98qt4 89 2 first first JJ cord-331771-fhy98qt4 89 3 created create VBN cord-331771-fhy98qt4 89 4 random random JJ cord-331771-fhy98qt4 89 5 network network NN cord-331771-fhy98qt4 89 6 is be VBZ cord-331771-fhy98qt4 89 7 the the DT cord-331771-fhy98qt4 89 8 contact contact NN cord-331771-fhy98qt4 89 9 - - HYPH cord-331771-fhy98qt4 89 10 layer layer NN cord-331771-fhy98qt4 89 11 network network NN cord-331771-fhy98qt4 89 12 . . . cord-331771-fhy98qt4 90 1 Next next RB cord-331771-fhy98qt4 90 2 , , , cord-331771-fhy98qt4 90 3 the the DT cord-331771-fhy98qt4 90 4 nodes node NNS cord-331771-fhy98qt4 90 5 and and CC cord-331771-fhy98qt4 90 6 links link NNS cord-331771-fhy98qt4 90 7 in in IN cord-331771-fhy98qt4 90 8 the the DT cord-331771-fhy98qt4 90 9 contact contact NN cord-331771-fhy98qt4 90 10 network network NN cord-331771-fhy98qt4 90 11 are be VBP cord-331771-fhy98qt4 90 12 mapped map VBN cord-331771-fhy98qt4 90 13 to to IN cord-331771-fhy98qt4 90 14 the the DT cord-331771-fhy98qt4 90 15 communication communication NN cord-331771-fhy98qt4 90 16 - - HYPH cord-331771-fhy98qt4 90 17 layer layer NN cord-331771-fhy98qt4 90 18 network network NN cord-331771-fhy98qt4 90 19 . . . cord-331771-fhy98qt4 91 1 Moreover moreover RB cord-331771-fhy98qt4 91 2 , , , cord-331771-fhy98qt4 91 3 the the DT cord-331771-fhy98qt4 91 4 network network NN cord-331771-fhy98qt4 91 5 is be VBZ cord-331771-fhy98qt4 91 6 extended extend VBN cord-331771-fhy98qt4 91 7 by by IN cord-331771-fhy98qt4 91 8 letting let VBG cord-331771-fhy98qt4 91 9 each each DT cord-331771-fhy98qt4 91 10 node node NN cord-331771-fhy98qt4 91 11 randomly randomly RB cord-331771-fhy98qt4 91 12 link link VBP cord-331771-fhy98qt4 91 13 with with IN cord-331771-fhy98qt4 91 14 k k XX cord-331771-fhy98qt4 91 15 other other JJ cord-331771-fhy98qt4 91 16 nodes node NNS cord-331771-fhy98qt4 91 17 , , , cord-331771-fhy98qt4 91 18 generating generate VBG cord-331771-fhy98qt4 91 19 the the DT cord-331771-fhy98qt4 91 20 second second JJ cord-331771-fhy98qt4 91 21 random random JJ cord-331771-fhy98qt4 91 22 network network NN cord-331771-fhy98qt4 91 23 with with IN cord-331771-fhy98qt4 91 24 the the DT cord-331771-fhy98qt4 91 25 average average JJ cord-331771-fhy98qt4 91 26 node node NN cord-331771-fhy98qt4 91 27 degree degree NN cord-331771-fhy98qt4 92 1 k k NNP cord-331771-fhy98qt4 93 1 = = NFP cord-331771-fhy98qt4 93 2 k k NNP cord-331771-fhy98qt4 94 1 + + CC cord-331771-fhy98qt4 95 1 k k NNP cord-331771-fhy98qt4 95 2 . . . cord-331771-fhy98qt4 96 1 The the DT cord-331771-fhy98qt4 96 2 second second JJ cord-331771-fhy98qt4 96 3 created create VBN cord-331771-fhy98qt4 96 4 random random JJ cord-331771-fhy98qt4 96 5 network network NN cord-331771-fhy98qt4 96 6 is be VBZ cord-331771-fhy98qt4 96 7 the the DT cord-331771-fhy98qt4 96 8 communication communication NN cord-331771-fhy98qt4 96 9 - - HYPH cord-331771-fhy98qt4 96 10 layer layer NN cord-331771-fhy98qt4 96 11 network network NN cord-331771-fhy98qt4 96 12 . . . cord-331771-fhy98qt4 97 1 Previous previous JJ cord-331771-fhy98qt4 97 2 studies study NNS cord-331771-fhy98qt4 97 3 have have VBP cord-331771-fhy98qt4 97 4 successfully successfully RB cord-331771-fhy98qt4 97 5 modeled model VBN cord-331771-fhy98qt4 97 6 the the DT cord-331771-fhy98qt4 97 7 diffusion diffusion NN cord-331771-fhy98qt4 97 8 of of IN cord-331771-fhy98qt4 97 9 rumor rumor NN cord-331771-fhy98qt4 97 10 [ [ -LRB- cord-331771-fhy98qt4 97 11 39 39 CD cord-331771-fhy98qt4 97 12 ] ] -RRB- cord-331771-fhy98qt4 97 13 , , , cord-331771-fhy98qt4 97 14 and and CC cord-331771-fhy98qt4 97 15 found find VBD cord-331771-fhy98qt4 97 16 that that IN cord-331771-fhy98qt4 97 17 the the DT cord-331771-fhy98qt4 97 18 denying denying NN cord-331771-fhy98qt4 97 19 of of IN cord-331771-fhy98qt4 97 20 rumor rumor NN cord-331771-fhy98qt4 97 21 affects affect VBZ cord-331771-fhy98qt4 97 22 the the DT cord-331771-fhy98qt4 97 23 outbreak outbreak NN cord-331771-fhy98qt4 97 24 size size NN cord-331771-fhy98qt4 97 25 and and CC cord-331771-fhy98qt4 97 26 threshold threshold NN cord-331771-fhy98qt4 97 27 of of IN cord-331771-fhy98qt4 97 28 rumor rumor NN cord-331771-fhy98qt4 97 29 [ [ -LRB- cord-331771-fhy98qt4 97 30 40 40 CD cord-331771-fhy98qt4 97 31 , , , cord-331771-fhy98qt4 97 32 41 41 CD cord-331771-fhy98qt4 97 33 ] ] -RRB- cord-331771-fhy98qt4 97 34 . . . cord-331771-fhy98qt4 98 1 But but CC cord-331771-fhy98qt4 98 2 the the DT cord-331771-fhy98qt4 98 3 denying denying NN cord-331771-fhy98qt4 98 4 of of IN cord-331771-fhy98qt4 98 5 rumor rumor NN cord-331771-fhy98qt4 98 6 in in IN cord-331771-fhy98qt4 98 7 their -PRON- PRP$ cord-331771-fhy98qt4 98 8 studies study NNS cord-331771-fhy98qt4 98 9 is be VBZ cord-331771-fhy98qt4 98 10 usually usually RB cord-331771-fhy98qt4 98 11 described describe VBN cord-331771-fhy98qt4 98 12 by by IN cord-331771-fhy98qt4 98 13 a a DT cord-331771-fhy98qt4 98 14 constant constant JJ cord-331771-fhy98qt4 98 15 probability probability NN cord-331771-fhy98qt4 98 16 , , , cord-331771-fhy98qt4 98 17 not not RB cord-331771-fhy98qt4 98 18 driven drive VBN cord-331771-fhy98qt4 98 19 by by IN cord-331771-fhy98qt4 98 20 the the DT cord-331771-fhy98qt4 98 21 diffusion diffusion NN cord-331771-fhy98qt4 98 22 of of IN cord-331771-fhy98qt4 98 23 knowledge knowledge NN cord-331771-fhy98qt4 98 24 . . . cord-331771-fhy98qt4 99 1 During during IN cord-331771-fhy98qt4 99 2 an an DT cord-331771-fhy98qt4 99 3 epidemic epidemic NN cord-331771-fhy98qt4 99 4 , , , cord-331771-fhy98qt4 99 5 it -PRON- PRP cord-331771-fhy98qt4 99 6 is be VBZ cord-331771-fhy98qt4 99 7 easy easy JJ cord-331771-fhy98qt4 99 8 to to TO cord-331771-fhy98qt4 99 9 discover discover VB cord-331771-fhy98qt4 99 10 the the DT cord-331771-fhy98qt4 99 11 diffusion diffusion NN cord-331771-fhy98qt4 99 12 of of IN cord-331771-fhy98qt4 99 13 knowledge knowledge NN cord-331771-fhy98qt4 99 14 against against IN cord-331771-fhy98qt4 99 15 rumor rumor NN cord-331771-fhy98qt4 99 16 . . . cord-331771-fhy98qt4 100 1 For for IN cord-331771-fhy98qt4 100 2 instance instance NN cord-331771-fhy98qt4 100 3 , , , cord-331771-fhy98qt4 100 4 during during IN cord-331771-fhy98qt4 100 5 the the DT cord-331771-fhy98qt4 100 6 COVID-19 covid-19 JJ cord-331771-fhy98qt4 100 7 epidemic epidemic NN cord-331771-fhy98qt4 100 8 , , , cord-331771-fhy98qt4 100 9 knowledge knowledge NN cord-331771-fhy98qt4 100 10 about about IN cord-331771-fhy98qt4 100 11 the the DT cord-331771-fhy98qt4 100 12 functions function NNS cord-331771-fhy98qt4 100 13 of of IN cord-331771-fhy98qt4 100 14 different different JJ cord-331771-fhy98qt4 100 15 medical medical JJ cord-331771-fhy98qt4 100 16 masks mask NNS cord-331771-fhy98qt4 100 17 was be VBD cord-331771-fhy98qt4 100 18 widely widely RB cord-331771-fhy98qt4 100 19 spread spread VBN cord-331771-fhy98qt4 100 20 on on IN cord-331771-fhy98qt4 100 21 social social JJ cord-331771-fhy98qt4 100 22 media medium NNS cord-331771-fhy98qt4 100 23 , , , cord-331771-fhy98qt4 100 24 which which WDT cord-331771-fhy98qt4 100 25 helps help VBZ cord-331771-fhy98qt4 100 26 people people NNS cord-331771-fhy98qt4 100 27 to to TO cord-331771-fhy98qt4 100 28 choose choose VB cord-331771-fhy98qt4 100 29 the the DT cord-331771-fhy98qt4 100 30 appropriate appropriate JJ cord-331771-fhy98qt4 100 31 masks mask NNS cord-331771-fhy98qt4 100 32 [ [ -LRB- cord-331771-fhy98qt4 100 33 42 42 CD cord-331771-fhy98qt4 100 34 ] ] -RRB- cord-331771-fhy98qt4 100 35 . . . cord-331771-fhy98qt4 101 1 Moreover moreover RB cord-331771-fhy98qt4 101 2 , , , cord-331771-fhy98qt4 101 3 Cyberspace Cyberspace NNP cord-331771-fhy98qt4 101 4 Administration Administration NNP cord-331771-fhy98qt4 101 5 of of IN cord-331771-fhy98qt4 101 6 China China NNP cord-331771-fhy98qt4 101 7 ( ( -LRB- cord-331771-fhy98qt4 101 8 CAC CAC NNP cord-331771-fhy98qt4 101 9 ) ) -RRB- cord-331771-fhy98qt4 101 10 builds build VBZ cord-331771-fhy98qt4 101 11 a a DT cord-331771-fhy98qt4 101 12 specialized specialized JJ cord-331771-fhy98qt4 101 13 zone zone NN cord-331771-fhy98qt4 101 14 for for IN cord-331771-fhy98qt4 101 15 sharing share VBG cord-331771-fhy98qt4 101 16 knowledge knowledge NN cord-331771-fhy98qt4 101 17 and and CC cord-331771-fhy98qt4 101 18 refuting refute VBG cord-331771-fhy98qt4 101 19 rumor rumor NN cord-331771-fhy98qt4 101 20 during during IN cord-331771-fhy98qt4 101 21 the the DT cord-331771-fhy98qt4 101 22 COVID-19 covid-19 JJ cord-331771-fhy98qt4 101 23 epidemic epidemic NN cord-331771-fhy98qt4 101 24 [ [ -LRB- cord-331771-fhy98qt4 101 25 43 43 CD cord-331771-fhy98qt4 101 26 ] ] -RRB- cord-331771-fhy98qt4 101 27 . . . cord-331771-fhy98qt4 102 1 Inspired inspire VBN cord-331771-fhy98qt4 102 2 by by IN cord-331771-fhy98qt4 102 3 previous previous JJ cord-331771-fhy98qt4 102 4 rumor rumor NN cord-331771-fhy98qt4 102 5 models model NNS cord-331771-fhy98qt4 102 6 and and CC cord-331771-fhy98qt4 102 7 combined combine VBN cord-331771-fhy98qt4 102 8 with with IN cord-331771-fhy98qt4 102 9 the the DT cord-331771-fhy98qt4 102 10 findings finding NNS cord-331771-fhy98qt4 102 11 of of IN cord-331771-fhy98qt4 102 12 Prelec Prelec NNP cord-331771-fhy98qt4 102 13 et et NNP cord-331771-fhy98qt4 102 14 al al NNP cord-331771-fhy98qt4 102 15 . . NNP cord-331771-fhy98qt4 102 16 , , , cord-331771-fhy98qt4 102 17 we -PRON- PRP cord-331771-fhy98qt4 102 18 propose propose VBP cord-331771-fhy98qt4 102 19 a a DT cord-331771-fhy98qt4 102 20 UA UA NNP cord-331771-fhy98qt4 102 21 1 1 CD cord-331771-fhy98qt4 102 22 A a DT cord-331771-fhy98qt4 102 23 2 2 CD cord-331771-fhy98qt4 102 24 model model NN cord-331771-fhy98qt4 102 25 to to TO cord-331771-fhy98qt4 102 26 describe describe VB cord-331771-fhy98qt4 102 27 the the DT cord-331771-fhy98qt4 102 28 competitive competitive JJ cord-331771-fhy98qt4 102 29 diffusions diffusion NNS cord-331771-fhy98qt4 102 30 between between IN cord-331771-fhy98qt4 102 31 rumor rumor NN cord-331771-fhy98qt4 102 32 and and CC cord-331771-fhy98qt4 102 33 knowledge knowledge NN cord-331771-fhy98qt4 102 34 , , , cord-331771-fhy98qt4 102 35 extended extend VBN cord-331771-fhy98qt4 102 36 from from IN cord-331771-fhy98qt4 102 37 the the DT cord-331771-fhy98qt4 102 38 SIS SIS NNP cord-331771-fhy98qt4 102 39 model model NN cord-331771-fhy98qt4 102 40 [ [ -LRB- cord-331771-fhy98qt4 102 41 44 44 CD cord-331771-fhy98qt4 102 42 , , , cord-331771-fhy98qt4 102 43 45 45 CD cord-331771-fhy98qt4 102 44 ] ] -RRB- cord-331771-fhy98qt4 102 45 . . . cord-331771-fhy98qt4 103 1 Each each DT cord-331771-fhy98qt4 103 2 node node NN cord-331771-fhy98qt4 103 3 has have VBZ cord-331771-fhy98qt4 103 4 three three CD cord-331771-fhy98qt4 103 5 possible possible JJ cord-331771-fhy98qt4 103 6 states state NNS cord-331771-fhy98qt4 103 7 : : : cord-331771-fhy98qt4 103 8 unknown unknown JJ cord-331771-fhy98qt4 103 9 ( ( -LRB- cord-331771-fhy98qt4 103 10 U U NNP cord-331771-fhy98qt4 103 11 ) ) -RRB- cord-331771-fhy98qt4 103 12 , , , cord-331771-fhy98qt4 103 13 rumor rumor NN cord-331771-fhy98qt4 103 14 - - HYPH cord-331771-fhy98qt4 103 15 believed believe VBN cord-331771-fhy98qt4 103 16 ( ( -LRB- cord-331771-fhy98qt4 103 17 A a DT cord-331771-fhy98qt4 103 18 1 1 CD cord-331771-fhy98qt4 103 19 ) ) -RRB- cord-331771-fhy98qt4 103 20 , , , cord-331771-fhy98qt4 103 21 and and CC cord-331771-fhy98qt4 103 22 knowledge knowledge NN cord-331771-fhy98qt4 103 23 - - HYPH cord-331771-fhy98qt4 103 24 believed believe VBN cord-331771-fhy98qt4 103 25 ( ( -LRB- cord-331771-fhy98qt4 103 26 A a DT cord-331771-fhy98qt4 103 27 2 2 CD cord-331771-fhy98qt4 103 28 ) ) -RRB- cord-331771-fhy98qt4 103 29 . . . cord-331771-fhy98qt4 104 1 The the DT cord-331771-fhy98qt4 104 2 transition transition NN cord-331771-fhy98qt4 104 3 of of IN cord-331771-fhy98qt4 104 4 the the DT cord-331771-fhy98qt4 104 5 three three CD cord-331771-fhy98qt4 104 6 states state NNS cord-331771-fhy98qt4 104 7 are be VBP cord-331771-fhy98qt4 104 8 well well RB cord-331771-fhy98qt4 104 9 presented present VBN cord-331771-fhy98qt4 104 10 in in IN cord-331771-fhy98qt4 104 11 Fig Fig NNP cord-331771-fhy98qt4 104 12 . . . cord-331771-fhy98qt4 105 1 2 2 LS cord-331771-fhy98qt4 105 2 . . . cord-331771-fhy98qt4 106 1 When when WRB cord-331771-fhy98qt4 106 2 an an DT cord-331771-fhy98qt4 106 3 unknown unknown JJ cord-331771-fhy98qt4 106 4 node node NN cord-331771-fhy98qt4 106 5 receives receive VBZ cord-331771-fhy98qt4 106 6 information information NN cord-331771-fhy98qt4 106 7 from from IN cord-331771-fhy98qt4 106 8 a a DT cord-331771-fhy98qt4 106 9 rumor rumor NN cord-331771-fhy98qt4 106 10 - - HYPH cord-331771-fhy98qt4 106 11 believed believe VBN cord-331771-fhy98qt4 106 12 ( ( -LRB- cord-331771-fhy98qt4 106 13 or or CC cord-331771-fhy98qt4 106 14 knowledge knowledge NN cord-331771-fhy98qt4 106 15 - - HYPH cord-331771-fhy98qt4 106 16 believed believe VBN cord-331771-fhy98qt4 106 17 ) ) -RRB- cord-331771-fhy98qt4 106 18 neighbor neighbor NN cord-331771-fhy98qt4 106 19 , , , cord-331771-fhy98qt4 106 20 s/ s/ NNP cord-331771-fhy98qt4 107 1 he -PRON- PRP cord-331771-fhy98qt4 107 2 may may MD cord-331771-fhy98qt4 107 3 become become VB cord-331771-fhy98qt4 107 4 rumor rumor NN cord-331771-fhy98qt4 107 5 - - HYPH cord-331771-fhy98qt4 107 6 believed believe VBN cord-331771-fhy98qt4 107 7 ( ( -LRB- cord-331771-fhy98qt4 107 8 or or CC cord-331771-fhy98qt4 107 9 knowledge knowledge NN cord-331771-fhy98qt4 107 10 - - HYPH cord-331771-fhy98qt4 107 11 believed believe VBN cord-331771-fhy98qt4 107 12 ) ) -RRB- cord-331771-fhy98qt4 107 13 , , , cord-331771-fhy98qt4 107 14 as as RB cord-331771-fhy98qt4 107 15 well well RB cord-331771-fhy98qt4 107 16 . . . cord-331771-fhy98qt4 108 1 The the DT cord-331771-fhy98qt4 108 2 " " `` cord-331771-fhy98qt4 108 3 infectivity infectivity NN cord-331771-fhy98qt4 108 4 " " '' cord-331771-fhy98qt4 108 5 of of IN cord-331771-fhy98qt4 108 6 rumor rumor NN cord-331771-fhy98qt4 108 7 ( ( -LRB- cord-331771-fhy98qt4 108 8 or or CC cord-331771-fhy98qt4 108 9 knowledge knowledge NN cord-331771-fhy98qt4 108 10 ) ) -RRB- cord-331771-fhy98qt4 108 11 is be VBZ cord-331771-fhy98qt4 108 12 α α NN cord-331771-fhy98qt4 108 13 1 1 CD cord-331771-fhy98qt4 108 14 ( ( -LRB- cord-331771-fhy98qt4 108 15 or or CC cord-331771-fhy98qt4 108 16 α α NN cord-331771-fhy98qt4 108 17 2 2 CD cord-331771-fhy98qt4 108 18 ) ) -RRB- cord-331771-fhy98qt4 108 19 . . . cord-331771-fhy98qt4 109 1 After after IN cord-331771-fhy98qt4 109 2 a a DT cord-331771-fhy98qt4 109 3 considerable considerable JJ cord-331771-fhy98qt4 109 4 period period NN cord-331771-fhy98qt4 109 5 of of IN cord-331771-fhy98qt4 109 6 time time NN cord-331771-fhy98qt4 109 7 , , , cord-331771-fhy98qt4 109 8 the the DT cord-331771-fhy98qt4 109 9 rumor rumor NN cord-331771-fhy98qt4 109 10 - - HYPH cord-331771-fhy98qt4 109 11 believed believe VBN cord-331771-fhy98qt4 109 12 ( ( -LRB- cord-331771-fhy98qt4 109 13 or or CC cord-331771-fhy98qt4 109 14 knowledge knowledge NN cord-331771-fhy98qt4 109 15 - - HYPH cord-331771-fhy98qt4 109 16 believed believe VBN cord-331771-fhy98qt4 109 17 ) ) -RRB- cord-331771-fhy98qt4 109 18 node node NN cord-331771-fhy98qt4 109 19 may may MD cord-331771-fhy98qt4 109 20 forget forget VB cord-331771-fhy98qt4 109 21 the the DT cord-331771-fhy98qt4 109 22 information information NN cord-331771-fhy98qt4 109 23 and and CC cord-331771-fhy98qt4 109 24 return return VB cord-331771-fhy98qt4 109 25 to to IN cord-331771-fhy98qt4 109 26 the the DT cord-331771-fhy98qt4 109 27 unknown unknown JJ cord-331771-fhy98qt4 109 28 state state NN cord-331771-fhy98qt4 109 29 [ [ -LRB- cord-331771-fhy98qt4 109 30 46 46 CD cord-331771-fhy98qt4 109 31 ] ] -RRB- cord-331771-fhy98qt4 110 1 [ [ -LRB- cord-331771-fhy98qt4 110 2 47 47 CD cord-331771-fhy98qt4 110 3 ] ] -RRB- cord-331771-fhy98qt4 110 4 [ [ -LRB- cord-331771-fhy98qt4 110 5 48 48 CD cord-331771-fhy98qt4 110 6 ] ] -RRB- cord-331771-fhy98qt4 110 7 . . . cord-331771-fhy98qt4 111 1 The the DT cord-331771-fhy98qt4 111 2 expected expected JJ cord-331771-fhy98qt4 111 3 period period NN cord-331771-fhy98qt4 111 4 length length NN cord-331771-fhy98qt4 111 5 is be VBZ cord-331771-fhy98qt4 111 6 1/ 1/ CD cord-331771-fhy98qt4 111 7 f f NNP cord-331771-fhy98qt4 111 8 1 1 CD cord-331771-fhy98qt4 111 9 ( ( -LRB- cord-331771-fhy98qt4 111 10 or or CC cord-331771-fhy98qt4 111 11 1/ 1/ CD cord-331771-fhy98qt4 111 12 f f NN cord-331771-fhy98qt4 111 13 2 2 CD cord-331771-fhy98qt4 111 14 ) ) -RRB- cord-331771-fhy98qt4 111 15 . . . cord-331771-fhy98qt4 112 1 Namely namely RB cord-331771-fhy98qt4 112 2 , , , cord-331771-fhy98qt4 112 3 the the DT cord-331771-fhy98qt4 112 4 probability probability NN cord-331771-fhy98qt4 112 5 for for IN cord-331771-fhy98qt4 112 6 the the DT cord-331771-fhy98qt4 112 7 rumor rumor NN cord-331771-fhy98qt4 112 8 - - HYPH cord-331771-fhy98qt4 112 9 believed believe VBN cord-331771-fhy98qt4 112 10 ( ( -LRB- cord-331771-fhy98qt4 112 11 or or CC cord-331771-fhy98qt4 112 12 knowledge knowledge NN cord-331771-fhy98qt4 112 13 - - HYPH cord-331771-fhy98qt4 112 14 believed believe VBN cord-331771-fhy98qt4 112 15 ) ) -RRB- cord-331771-fhy98qt4 112 16 node node NN cord-331771-fhy98qt4 112 17 to to TO cord-331771-fhy98qt4 112 18 return return VB cord-331771-fhy98qt4 112 19 to to IN cord-331771-fhy98qt4 112 20 the the DT cord-331771-fhy98qt4 112 21 unknown unknown JJ cord-331771-fhy98qt4 112 22 state state NN cord-331771-fhy98qt4 112 23 is be VBZ cord-331771-fhy98qt4 112 24 f f NNP cord-331771-fhy98qt4 112 25 1 1 CD cord-331771-fhy98qt4 112 26 ( ( -LRB- cord-331771-fhy98qt4 112 27 or or CC cord-331771-fhy98qt4 112 28 f f NNP cord-331771-fhy98qt4 112 29 2 2 CD cord-331771-fhy98qt4 112 30 ) ) -RRB- cord-331771-fhy98qt4 112 31 . . . cord-331771-fhy98qt4 113 1 Moreover moreover RB cord-331771-fhy98qt4 113 2 , , , cord-331771-fhy98qt4 113 3 there there EX cord-331771-fhy98qt4 113 4 is be VBZ cord-331771-fhy98qt4 113 5 an an DT cord-331771-fhy98qt4 113 6 important important JJ cord-331771-fhy98qt4 113 7 unidirectional unidirectional JJ cord-331771-fhy98qt4 113 8 transition transition NN cord-331771-fhy98qt4 113 9 between between IN cord-331771-fhy98qt4 113 10 the the DT cord-331771-fhy98qt4 113 11 rumor rumor NN cord-331771-fhy98qt4 113 12 - - HYPH cord-331771-fhy98qt4 113 13 believed believe VBN cord-331771-fhy98qt4 113 14 ( ( -LRB- cord-331771-fhy98qt4 113 15 A a DT cord-331771-fhy98qt4 113 16 1 1 CD cord-331771-fhy98qt4 113 17 ) ) -RRB- cord-331771-fhy98qt4 113 18 state state NN cord-331771-fhy98qt4 113 19 and and CC cord-331771-fhy98qt4 113 20 the the DT cord-331771-fhy98qt4 113 21 knowledge knowledge NN cord-331771-fhy98qt4 113 22 - - HYPH cord-331771-fhy98qt4 113 23 believed believe VBN cord-331771-fhy98qt4 113 24 ( ( -LRB- cord-331771-fhy98qt4 113 25 A a DT cord-331771-fhy98qt4 113 26 2 2 CD cord-331771-fhy98qt4 113 27 ) ) -RRB- cord-331771-fhy98qt4 113 28 state state NN cord-331771-fhy98qt4 113 29 . . . cord-331771-fhy98qt4 114 1 When when WRB cord-331771-fhy98qt4 114 2 the the DT cord-331771-fhy98qt4 114 3 rumorbelieved rumorbelieved JJ cord-331771-fhy98qt4 114 4 node node NN cord-331771-fhy98qt4 114 5 receives receive VBZ cord-331771-fhy98qt4 114 6 information information NN cord-331771-fhy98qt4 114 7 from from IN cord-331771-fhy98qt4 114 8 a a DT cord-331771-fhy98qt4 114 9 knowledge knowledge NN cord-331771-fhy98qt4 114 10 - - HYPH cord-331771-fhy98qt4 114 11 believed believe VBN cord-331771-fhy98qt4 114 12 neighbor neighbor NN cord-331771-fhy98qt4 114 13 , , , cord-331771-fhy98qt4 114 14 s s NNP cord-331771-fhy98qt4 114 15 / / SYM cord-331771-fhy98qt4 114 16 he -PRON- PRP cord-331771-fhy98qt4 114 17 is be VBZ cord-331771-fhy98qt4 114 18 likely likely JJ cord-331771-fhy98qt4 114 19 to to TO cord-331771-fhy98qt4 114 20 become become VB cord-331771-fhy98qt4 114 21 knowledge knowledge NN cord-331771-fhy98qt4 114 22 - - HYPH cord-331771-fhy98qt4 114 23 believed believe VBN cord-331771-fhy98qt4 114 24 . . . cord-331771-fhy98qt4 115 1 The the DT cord-331771-fhy98qt4 115 2 " " `` cord-331771-fhy98qt4 115 3 infectivity infectivity NN cord-331771-fhy98qt4 115 4 " " '' cord-331771-fhy98qt4 115 5 of of IN cord-331771-fhy98qt4 115 6 knowledge knowledge NN cord-331771-fhy98qt4 115 7 on on IN cord-331771-fhy98qt4 115 8 the the DT cord-331771-fhy98qt4 115 9 rumor rumor NN cord-331771-fhy98qt4 115 10 - - HYPH cord-331771-fhy98qt4 115 11 believed believe VBN cord-331771-fhy98qt4 115 12 node node NN cord-331771-fhy98qt4 115 13 is be VBZ cord-331771-fhy98qt4 115 14 defined define VBN cord-331771-fhy98qt4 115 15 as as IN cord-331771-fhy98qt4 115 16 α α NNP cord-331771-fhy98qt4 115 17 3 3 CD cord-331771-fhy98qt4 115 18 . . . cord-331771-fhy98qt4 116 1 Apparently apparently RB cord-331771-fhy98qt4 116 2 α α NN cord-331771-fhy98qt4 116 3 3 3 CD cord-331771-fhy98qt4 116 4 denotes denote VBZ cord-331771-fhy98qt4 116 5 the the DT cord-331771-fhy98qt4 116 6 penetration penetration NN cord-331771-fhy98qt4 116 7 intensity intensity NN cord-331771-fhy98qt4 116 8 of of IN cord-331771-fhy98qt4 116 9 knowledge knowledge NN cord-331771-fhy98qt4 116 10 into into IN cord-331771-fhy98qt4 116 11 rumor rumor NN cord-331771-fhy98qt4 116 12 . . . cord-331771-fhy98qt4 117 1 It -PRON- PRP cord-331771-fhy98qt4 117 2 should should MD cord-331771-fhy98qt4 117 3 be be VB cord-331771-fhy98qt4 117 4 noted note VBN cord-331771-fhy98qt4 117 5 that that IN cord-331771-fhy98qt4 117 6 a a DT cord-331771-fhy98qt4 117 7 node node NN cord-331771-fhy98qt4 117 8 can can MD cord-331771-fhy98qt4 117 9 transit transit VB cord-331771-fhy98qt4 117 10 from from IN cord-331771-fhy98qt4 117 11 the the DT cord-331771-fhy98qt4 117 12 rumor rumor NN cord-331771-fhy98qt4 117 13 - - HYPH cord-331771-fhy98qt4 117 14 believed believe VBN cord-331771-fhy98qt4 117 15 state state NN cord-331771-fhy98qt4 117 16 to to IN cord-331771-fhy98qt4 117 17 the the DT cord-331771-fhy98qt4 117 18 knowledgebelieved knowledgebelieved JJ cord-331771-fhy98qt4 117 19 state state NN cord-331771-fhy98qt4 117 20 because because IN cord-331771-fhy98qt4 117 21 the the DT cord-331771-fhy98qt4 117 22 knowledge knowledge NN cord-331771-fhy98qt4 117 23 - - HYPH cord-331771-fhy98qt4 117 24 believed believe VBN cord-331771-fhy98qt4 117 25 nodes node NNS cord-331771-fhy98qt4 117 26 have have VBP cord-331771-fhy98qt4 117 27 the the DT cord-331771-fhy98qt4 117 28 extra extra JJ cord-331771-fhy98qt4 117 29 accurate accurate JJ cord-331771-fhy98qt4 117 30 information information NN cord-331771-fhy98qt4 117 31 ( ( -LRB- cord-331771-fhy98qt4 117 32 namely namely RB cord-331771-fhy98qt4 117 33 knowledge knowledge NN cord-331771-fhy98qt4 117 34 ) ) -RRB- cord-331771-fhy98qt4 117 35 . . . cord-331771-fhy98qt4 118 1 Thus thus RB cord-331771-fhy98qt4 118 2 , , , cord-331771-fhy98qt4 118 3 the the DT cord-331771-fhy98qt4 118 4 " " `` cord-331771-fhy98qt4 118 5 infectivity infectivity NN cord-331771-fhy98qt4 118 6 " " '' cord-331771-fhy98qt4 118 7 of of IN cord-331771-fhy98qt4 118 8 knowledge knowledge NN cord-331771-fhy98qt4 118 9 may may MD cord-331771-fhy98qt4 118 10 be be VB cord-331771-fhy98qt4 118 11 lower low JJR cord-331771-fhy98qt4 118 12 than than IN cord-331771-fhy98qt4 118 13 that that DT cord-331771-fhy98qt4 118 14 of of IN cord-331771-fhy98qt4 118 15 rumor rumor NN cord-331771-fhy98qt4 118 16 because because IN cord-331771-fhy98qt4 118 17 people people NNS cord-331771-fhy98qt4 118 18 have have VBP cord-331771-fhy98qt4 118 19 to to TO cord-331771-fhy98qt4 118 20 take take VB cord-331771-fhy98qt4 118 21 more more JJR cord-331771-fhy98qt4 118 22 time time NN cord-331771-fhy98qt4 118 23 / / SYM cord-331771-fhy98qt4 118 24 efforts effort NNS cord-331771-fhy98qt4 118 25 to to TO cord-331771-fhy98qt4 118 26 learn learn VB cord-331771-fhy98qt4 118 27 such such JJ cord-331771-fhy98qt4 118 28 extra extra JJ cord-331771-fhy98qt4 118 29 knowledge knowledge NN cord-331771-fhy98qt4 118 30 . . . cord-331771-fhy98qt4 119 1 Besides besides RB cord-331771-fhy98qt4 119 2 , , , cord-331771-fhy98qt4 119 3 previous previous JJ cord-331771-fhy98qt4 119 4 studies study NNS cord-331771-fhy98qt4 119 5 also also RB cord-331771-fhy98qt4 119 6 suggested suggest VBD cord-331771-fhy98qt4 119 7 that that IN cord-331771-fhy98qt4 119 8 rumor rumor NN cord-331771-fhy98qt4 119 9 might may MD cord-331771-fhy98qt4 119 10 be be VB cord-331771-fhy98qt4 119 11 more more RBR cord-331771-fhy98qt4 119 12 contagious contagious JJ cord-331771-fhy98qt4 119 13 . . . cord-331771-fhy98qt4 120 1 For for IN cord-331771-fhy98qt4 120 2 example example NN cord-331771-fhy98qt4 120 3 , , , cord-331771-fhy98qt4 120 4 in in IN cord-331771-fhy98qt4 120 5 the the DT cord-331771-fhy98qt4 120 6 New New NNP cord-331771-fhy98qt4 120 7 York York NNP cord-331771-fhy98qt4 120 8 Times Times NNP cord-331771-fhy98qt4 120 9 , , , cord-331771-fhy98qt4 120 10 awe awe NN cord-331771-fhy98qt4 120 11 - - HYPH cord-331771-fhy98qt4 120 12 inspiring inspire VBG cord-331771-fhy98qt4 120 13 tales tale NNS cord-331771-fhy98qt4 120 14 are be VBP cord-331771-fhy98qt4 120 15 likely likely JJ cord-331771-fhy98qt4 120 16 to to TO cord-331771-fhy98qt4 120 17 be be VB cord-331771-fhy98qt4 120 18 more more RBR cord-331771-fhy98qt4 120 19 contagious contagious JJ cord-331771-fhy98qt4 120 20 than than IN cord-331771-fhy98qt4 120 21 the the DT cord-331771-fhy98qt4 120 22 regular regular JJ cord-331771-fhy98qt4 120 23 news news NN cord-331771-fhy98qt4 120 24 [ [ -LRB- cord-331771-fhy98qt4 120 25 49 49 CD cord-331771-fhy98qt4 120 26 ] ] -RRB- cord-331771-fhy98qt4 120 27 . . . cord-331771-fhy98qt4 121 1 Therefore therefore RB cord-331771-fhy98qt4 121 2 , , , cord-331771-fhy98qt4 121 3 we -PRON- PRP cord-331771-fhy98qt4 121 4 set set VBP cord-331771-fhy98qt4 121 5 α α NN cord-331771-fhy98qt4 121 6 2 2 CD cord-331771-fhy98qt4 121 7 < < XX cord-331771-fhy98qt4 121 8 α α NN cord-331771-fhy98qt4 121 9 1 1 CD cord-331771-fhy98qt4 121 10 . . . cord-331771-fhy98qt4 122 1 1 1 LS cord-331771-fhy98qt4 123 1 Previous previous JJ cord-331771-fhy98qt4 123 2 overlapping overlapping JJ cord-331771-fhy98qt4 123 3 methods method NNS cord-331771-fhy98qt4 123 4 are be VBP cord-331771-fhy98qt4 123 5 also also RB cord-331771-fhy98qt4 123 6 applicable applicable JJ cord-331771-fhy98qt4 123 7 in in IN cord-331771-fhy98qt4 123 8 our -PRON- PRP$ cord-331771-fhy98qt4 123 9 model model NN cord-331771-fhy98qt4 123 10 . . . cord-331771-fhy98qt4 124 1 Here here RB cord-331771-fhy98qt4 124 2 " " `` cord-331771-fhy98qt4 124 3 U U NNP cord-331771-fhy98qt4 124 4 " " '' cord-331771-fhy98qt4 124 5 denotes denote VBZ cord-331771-fhy98qt4 124 6 the the DT cord-331771-fhy98qt4 124 7 state state NN cord-331771-fhy98qt4 124 8 that that IN cord-331771-fhy98qt4 124 9 people people NNS cord-331771-fhy98qt4 124 10 are be VBP cord-331771-fhy98qt4 124 11 unknown unknown JJ cord-331771-fhy98qt4 124 12 about about IN cord-331771-fhy98qt4 124 13 rumor rumor NN cord-331771-fhy98qt4 124 14 and and CC cord-331771-fhy98qt4 124 15 knowledge knowledge NN cord-331771-fhy98qt4 124 16 . . . cord-331771-fhy98qt4 125 1 " " '' cord-331771-fhy98qt4 126 1 A a DT cord-331771-fhy98qt4 126 2 1 1 CD cord-331771-fhy98qt4 126 3 " " '' cord-331771-fhy98qt4 126 4 denotes denote VBZ cord-331771-fhy98qt4 126 5 the the DT cord-331771-fhy98qt4 126 6 state state NN cord-331771-fhy98qt4 126 7 that that WDT cord-331771-fhy98qt4 126 8 people people NNS cord-331771-fhy98qt4 126 9 believe believe VBP cord-331771-fhy98qt4 126 10 rumor rumor NN cord-331771-fhy98qt4 126 11 , , , cord-331771-fhy98qt4 126 12 and and CC cord-331771-fhy98qt4 126 13 " " `` cord-331771-fhy98qt4 126 14 A a DT cord-331771-fhy98qt4 126 15 2 2 CD cord-331771-fhy98qt4 126 16 " " '' cord-331771-fhy98qt4 126 17 denotes denote VBZ cord-331771-fhy98qt4 126 18 the the DT cord-331771-fhy98qt4 126 19 state state NN cord-331771-fhy98qt4 126 20 that that WDT cord-331771-fhy98qt4 126 21 people people NNS cord-331771-fhy98qt4 126 22 believe believe VBP cord-331771-fhy98qt4 126 23 knowledge knowledge NN cord-331771-fhy98qt4 126 24 . . . cord-331771-fhy98qt4 127 1 α α NNP cord-331771-fhy98qt4 127 2 1 1 CD cord-331771-fhy98qt4 127 3 and and CC cord-331771-fhy98qt4 127 4 α α NN cord-331771-fhy98qt4 127 5 2 2 CD cord-331771-fhy98qt4 127 6 denote denote VBP cord-331771-fhy98qt4 127 7 the the DT cord-331771-fhy98qt4 127 8 infectivities infectivitie NNS cord-331771-fhy98qt4 127 9 of of IN cord-331771-fhy98qt4 127 10 rumor rumor NN cord-331771-fhy98qt4 127 11 and and CC cord-331771-fhy98qt4 127 12 knowledge knowledge NN cord-331771-fhy98qt4 127 13 . . . cord-331771-fhy98qt4 128 1 α α NN cord-331771-fhy98qt4 128 2 3 3 CD cord-331771-fhy98qt4 128 3 denotes denote VBZ cord-331771-fhy98qt4 128 4 the the DT cord-331771-fhy98qt4 128 5 penetration penetration NN cord-331771-fhy98qt4 128 6 intensity intensity NN cord-331771-fhy98qt4 128 7 of of IN cord-331771-fhy98qt4 128 8 knowledge knowledge NN cord-331771-fhy98qt4 128 9 into into IN cord-331771-fhy98qt4 128 10 rumor rumor NN cord-331771-fhy98qt4 128 11 . . . cord-331771-fhy98qt4 129 1 f f NNP cord-331771-fhy98qt4 129 2 1 1 CD cord-331771-fhy98qt4 129 3 and and CC cord-331771-fhy98qt4 129 4 f f NNP cord-331771-fhy98qt4 129 5 2 2 CD cord-331771-fhy98qt4 129 6 denote denote VBP cord-331771-fhy98qt4 129 7 the the DT cord-331771-fhy98qt4 129 8 forgetting forget VBG cord-331771-fhy98qt4 129 9 probabilities probability NNS cord-331771-fhy98qt4 129 10 of of IN cord-331771-fhy98qt4 129 11 rumor rumor NN cord-331771-fhy98qt4 129 12 and and CC cord-331771-fhy98qt4 129 13 knowledge knowledge NN cord-331771-fhy98qt4 129 14 . . . cord-331771-fhy98qt4 130 1 We -PRON- PRP cord-331771-fhy98qt4 130 2 propose propose VBP cord-331771-fhy98qt4 130 3 ϕ ϕ NN cord-331771-fhy98qt4 130 4 1 1 CD cord-331771-fhy98qt4 130 5 ( ( -LRB- cord-331771-fhy98qt4 130 6 t t NN cord-331771-fhy98qt4 130 7 ) ) -RRB- cord-331771-fhy98qt4 130 8 and and CC cord-331771-fhy98qt4 130 9 ϕ ϕ JJS cord-331771-fhy98qt4 130 10 2 2 CD cord-331771-fhy98qt4 130 11 ( ( -LRB- cord-331771-fhy98qt4 130 12 t t NN cord-331771-fhy98qt4 130 13 ) ) -RRB- cord-331771-fhy98qt4 130 14 to to TO cord-331771-fhy98qt4 130 15 denote denote VB cord-331771-fhy98qt4 130 16 the the DT cord-331771-fhy98qt4 130 17 probabilities probability NNS cord-331771-fhy98qt4 130 18 of of IN cord-331771-fhy98qt4 130 19 a a DT cord-331771-fhy98qt4 130 20 randomly randomly RB cord-331771-fhy98qt4 130 21 selected select VBN cord-331771-fhy98qt4 130 22 link link NN cord-331771-fhy98qt4 130 23 pointing point VBG cord-331771-fhy98qt4 130 24 to to IN cord-331771-fhy98qt4 130 25 a a DT cord-331771-fhy98qt4 130 26 rumor rumor NN cord-331771-fhy98qt4 130 27 - - HYPH cord-331771-fhy98qt4 130 28 believed believe VBN cord-331771-fhy98qt4 130 29 node node NN cord-331771-fhy98qt4 130 30 and and CC cord-331771-fhy98qt4 130 31 a a DT cord-331771-fhy98qt4 130 32 knowledge knowledge NN cord-331771-fhy98qt4 130 33 - - HYPH cord-331771-fhy98qt4 130 34 believed believe VBN cord-331771-fhy98qt4 130 35 node node NN cord-331771-fhy98qt4 130 36 [ [ -LRB- cord-331771-fhy98qt4 130 37 50 50 CD cord-331771-fhy98qt4 130 38 ] ] -RRB- cord-331771-fhy98qt4 130 39 . . . cord-331771-fhy98qt4 131 1 They -PRON- PRP cord-331771-fhy98qt4 131 2 are be VBP cord-331771-fhy98qt4 131 3 obtained obtain VBN cord-331771-fhy98qt4 131 4 as as IN cord-331771-fhy98qt4 131 5 where where WRB cord-331771-fhy98qt4 131 6 A a DT cord-331771-fhy98qt4 131 7 1 1 CD cord-331771-fhy98qt4 131 8 k k NN cord-331771-fhy98qt4 131 9 ( ( -LRB- cord-331771-fhy98qt4 131 10 t t NNP cord-331771-fhy98qt4 131 11 ) ) -RRB- cord-331771-fhy98qt4 131 12 and and CC cord-331771-fhy98qt4 131 13 A a DT cord-331771-fhy98qt4 131 14 2 2 CD cord-331771-fhy98qt4 131 15 k k NN cord-331771-fhy98qt4 131 16 ( ( -LRB- cord-331771-fhy98qt4 131 17 t t NN cord-331771-fhy98qt4 131 18 ) ) -RRB- cord-331771-fhy98qt4 131 19 denote denote VB cord-331771-fhy98qt4 131 20 the the DT cord-331771-fhy98qt4 131 21 densities density NNS cord-331771-fhy98qt4 131 22 of of IN cord-331771-fhy98qt4 131 23 rumor rumor NN cord-331771-fhy98qt4 131 24 - - HYPH cord-331771-fhy98qt4 131 25 believed believe VBN cord-331771-fhy98qt4 131 26 and and CC cord-331771-fhy98qt4 131 27 knowledge knowledge NN cord-331771-fhy98qt4 131 28 - - HYPH cord-331771-fhy98qt4 131 29 believed believe VBN cord-331771-fhy98qt4 131 30 nodes node NNS cord-331771-fhy98qt4 131 31 among among IN cord-331771-fhy98qt4 131 32 the the DT cord-331771-fhy98qt4 131 33 nodes node NNS cord-331771-fhy98qt4 131 34 with with IN cord-331771-fhy98qt4 131 35 degree degree NN cord-331771-fhy98qt4 131 36 k k NN cord-331771-fhy98qt4 131 37 at at IN cord-331771-fhy98qt4 131 38 time time NN cord-331771-fhy98qt4 131 39 t. t. NNP cord-331771-fhy98qt4 131 40 P P NNP cord-331771-fhy98qt4 131 41 ( ( -LRB- cord-331771-fhy98qt4 131 42 k k NNP cord-331771-fhy98qt4 131 43 ) ) -RRB- cord-331771-fhy98qt4 131 44 denotes denote VBZ cord-331771-fhy98qt4 131 45 the the DT cord-331771-fhy98qt4 131 46 distribution distribution NN cord-331771-fhy98qt4 131 47 function function NN cord-331771-fhy98qt4 131 48 of of IN cord-331771-fhy98qt4 131 49 the the DT cord-331771-fhy98qt4 131 50 node node NN cord-331771-fhy98qt4 131 51 degree degree NN cord-331771-fhy98qt4 131 52 . . . cord-331771-fhy98qt4 132 1 For for IN cord-331771-fhy98qt4 132 2 ease ease NN cord-331771-fhy98qt4 132 3 of of IN cord-331771-fhy98qt4 132 4 analysis analysis NN cord-331771-fhy98qt4 132 5 , , , cord-331771-fhy98qt4 132 6 we -PRON- PRP cord-331771-fhy98qt4 132 7 assume assume VBP cord-331771-fhy98qt4 132 8 that that IN cord-331771-fhy98qt4 132 9 the the DT cord-331771-fhy98qt4 132 10 communication communication NN cord-331771-fhy98qt4 132 11 - - HYPH cord-331771-fhy98qt4 132 12 layer layer NN cord-331771-fhy98qt4 132 13 network network NN cord-331771-fhy98qt4 132 14 is be VBZ cord-331771-fhy98qt4 132 15 homogeneous homogeneous JJ cord-331771-fhy98qt4 132 16 and and CC cord-331771-fhy98qt4 132 17 the the DT cord-331771-fhy98qt4 132 18 nodes node NNS cord-331771-fhy98qt4 132 19 have have VBP cord-331771-fhy98qt4 132 20 similar similar JJ cord-331771-fhy98qt4 132 21 degrees degree NNS cord-331771-fhy98qt4 132 22 . . . cord-331771-fhy98qt4 133 1 Thus thus RB cord-331771-fhy98qt4 133 2 , , , cord-331771-fhy98qt4 133 3 it -PRON- PRP cord-331771-fhy98qt4 133 4 can can MD cord-331771-fhy98qt4 133 5 be be VB cord-331771-fhy98qt4 133 6 approximately approximately RB cord-331771-fhy98qt4 133 7 derived derive VBN cord-331771-fhy98qt4 133 8 Here here RB cord-331771-fhy98qt4 133 9 A a DT cord-331771-fhy98qt4 133 10 1 1 CD cord-331771-fhy98qt4 133 11 ( ( -LRB- cord-331771-fhy98qt4 133 12 t t NN cord-331771-fhy98qt4 133 13 ) ) -RRB- cord-331771-fhy98qt4 133 14 and and CC cord-331771-fhy98qt4 133 15 A a DT cord-331771-fhy98qt4 133 16 2 2 CD cord-331771-fhy98qt4 133 17 ( ( -LRB- cord-331771-fhy98qt4 133 18 t t NN cord-331771-fhy98qt4 133 19 ) ) -RRB- cord-331771-fhy98qt4 133 20 denote denote VB cord-331771-fhy98qt4 133 21 the the DT cord-331771-fhy98qt4 133 22 densities density NNS cord-331771-fhy98qt4 133 23 of of IN cord-331771-fhy98qt4 133 24 rumor rumor NN cord-331771-fhy98qt4 133 25 - - HYPH cord-331771-fhy98qt4 133 26 believed believe VBN cord-331771-fhy98qt4 133 27 and and CC cord-331771-fhy98qt4 133 28 knowledge knowledge NN cord-331771-fhy98qt4 133 29 - - HYPH cord-331771-fhy98qt4 133 30 believed believe VBN cord-331771-fhy98qt4 133 31 nodes node NNS cord-331771-fhy98qt4 133 32 , , , cord-331771-fhy98qt4 133 33 respectively respectively RB cord-331771-fhy98qt4 133 34 . . . cord-331771-fhy98qt4 134 1 Correspondingly correspondingly RB cord-331771-fhy98qt4 134 2 , , , cord-331771-fhy98qt4 134 3 the the DT cord-331771-fhy98qt4 134 4 probability probability NN cord-331771-fhy98qt4 134 5 that that IN cord-331771-fhy98qt4 134 6 a a DT cord-331771-fhy98qt4 134 7 node node NN cord-331771-fhy98qt4 134 8 has have VBZ cord-331771-fhy98qt4 134 9 n n RB cord-331771-fhy98qt4 134 10 1 1 CD cord-331771-fhy98qt4 134 11 rumor rumor NN cord-331771-fhy98qt4 134 12 - - HYPH cord-331771-fhy98qt4 134 13 believed believe VBN cord-331771-fhy98qt4 134 14 neighbors neighbor NNS cord-331771-fhy98qt4 134 15 and and CC cord-331771-fhy98qt4 134 16 n n CD cord-331771-fhy98qt4 134 17 2 2 CD cord-331771-fhy98qt4 134 18 knowledgebelieved knowledgebelieve VBN cord-331771-fhy98qt4 134 19 neighbors neighbor NNS cord-331771-fhy98qt4 134 20 can can MD cord-331771-fhy98qt4 134 21 be be VB cord-331771-fhy98qt4 134 22 given give VBN cord-331771-fhy98qt4 134 23 by by IN cord-331771-fhy98qt4 134 24 a a DT cord-331771-fhy98qt4 134 25 trinomial trinomial JJ cord-331771-fhy98qt4 134 26 distribution distribution NN cord-331771-fhy98qt4 134 27 where where WRB cord-331771-fhy98qt4 134 28 k k NNP cord-331771-fhy98qt4 134 29 is be VBZ cord-331771-fhy98qt4 134 30 the the DT cord-331771-fhy98qt4 134 31 degree degree NN cord-331771-fhy98qt4 134 32 of of IN cord-331771-fhy98qt4 134 33 node node NN cord-331771-fhy98qt4 134 34 . . . cord-331771-fhy98qt4 135 1 The the DT cord-331771-fhy98qt4 135 2 discrete discrete JJ cord-331771-fhy98qt4 135 3 - - HYPH cord-331771-fhy98qt4 135 4 time time NN cord-331771-fhy98qt4 135 5 information information NN cord-331771-fhy98qt4 135 6 diffusion diffusion NN cord-331771-fhy98qt4 135 7 process process NN cord-331771-fhy98qt4 135 8 can can MD cord-331771-fhy98qt4 135 9 be be VB cord-331771-fhy98qt4 135 10 described describe VBN cord-331771-fhy98qt4 135 11 as as IN cord-331771-fhy98qt4 135 12 follows follow VBZ cord-331771-fhy98qt4 135 13 where where WRB cord-331771-fhy98qt4 135 14 the the DT cord-331771-fhy98qt4 135 15 discrete discrete JJ cord-331771-fhy98qt4 135 16 - - HYPH cord-331771-fhy98qt4 135 17 time time NN cord-331771-fhy98qt4 135 18 probabilities probability NNS cord-331771-fhy98qt4 135 19 of of IN cord-331771-fhy98qt4 135 20 state state NN cord-331771-fhy98qt4 135 21 transitions transition NNS cord-331771-fhy98qt4 135 22 are be VBP cord-331771-fhy98qt4 135 23 derived derive VBN cord-331771-fhy98qt4 135 24 following follow VBG cord-331771-fhy98qt4 135 25 the the DT cord-331771-fhy98qt4 135 26 research research NN cord-331771-fhy98qt4 135 27 of of IN cord-331771-fhy98qt4 135 28 Liu Liu NNP cord-331771-fhy98qt4 135 29 et et NNP cord-331771-fhy98qt4 135 30 al al NNP cord-331771-fhy98qt4 135 31 [ [ -LRB- cord-331771-fhy98qt4 135 32 41 41 CD cord-331771-fhy98qt4 135 33 ] ] -RRB- cord-331771-fhy98qt4 135 34 as as IN cord-331771-fhy98qt4 135 35 blow blow NN cord-331771-fhy98qt4 135 36 When when WRB cord-331771-fhy98qt4 135 37 an an DT cord-331771-fhy98qt4 135 38 unknown unknown JJ cord-331771-fhy98qt4 135 39 node node NN cord-331771-fhy98qt4 135 40 receives receive VBZ cord-331771-fhy98qt4 135 41 information information NN cord-331771-fhy98qt4 135 42 from from IN cord-331771-fhy98qt4 135 43 a a DT cord-331771-fhy98qt4 135 44 rumor rumor NN cord-331771-fhy98qt4 135 45 - - HYPH cord-331771-fhy98qt4 135 46 believed believe VBN cord-331771-fhy98qt4 135 47 neighbor neighbor NN cord-331771-fhy98qt4 135 48 and and CC cord-331771-fhy98qt4 135 49 a a DT cord-331771-fhy98qt4 135 50 knowledge knowledge NN cord-331771-fhy98qt4 135 51 - - HYPH cord-331771-fhy98qt4 135 52 believed believe VBN cord-331771-fhy98qt4 135 53 neighbor neighbor NN cord-331771-fhy98qt4 135 54 at at IN cord-331771-fhy98qt4 135 55 the the DT cord-331771-fhy98qt4 135 56 same same JJ cord-331771-fhy98qt4 135 57 time time NN cord-331771-fhy98qt4 135 58 , , , cord-331771-fhy98qt4 135 59 s s NNP cord-331771-fhy98qt4 135 60 / / SYM cord-331771-fhy98qt4 135 61 he -PRON- PRP cord-331771-fhy98qt4 135 62 is be VBZ cord-331771-fhy98qt4 135 63 first first RB cord-331771-fhy98qt4 135 64 affected affect VBN cord-331771-fhy98qt4 135 65 by by IN cord-331771-fhy98qt4 135 66 the the DT cord-331771-fhy98qt4 135 67 knowledge knowledge NN cord-331771-fhy98qt4 135 68 - - HYPH cord-331771-fhy98qt4 135 69 believed believe VBN cord-331771-fhy98qt4 135 70 neighbor neighbor NN cord-331771-fhy98qt4 135 71 and and CC cord-331771-fhy98qt4 135 72 then then RB cord-331771-fhy98qt4 135 73 affected affect VBN cord-331771-fhy98qt4 135 74 by by IN cord-331771-fhy98qt4 135 75 the the DT cord-331771-fhy98qt4 135 76 rumor rumor NN cord-331771-fhy98qt4 135 77 - - HYPH cord-331771-fhy98qt4 135 78 believed believe VBN cord-331771-fhy98qt4 135 79 neighbor neighbor NN cord-331771-fhy98qt4 135 80 , , , cord-331771-fhy98qt4 135 81 as as IN cord-331771-fhy98qt4 135 82 shown show VBN cord-331771-fhy98qt4 135 83 in in IN cord-331771-fhy98qt4 135 84 Eq Eq NNP cord-331771-fhy98qt4 135 85 . . . cord-331771-fhy98qt4 136 1 ( ( -LRB- cord-331771-fhy98qt4 136 2 4 4 LS cord-331771-fhy98qt4 136 3 ) ) -RRB- cord-331771-fhy98qt4 136 4 . . . cord-331771-fhy98qt4 137 1 Namely namely RB cord-331771-fhy98qt4 137 2 , , , cord-331771-fhy98qt4 137 3 we -PRON- PRP cord-331771-fhy98qt4 137 4 set set VBD cord-331771-fhy98qt4 137 5 the the DT cord-331771-fhy98qt4 137 6 priority priority NN cord-331771-fhy98qt4 137 7 of of IN cord-331771-fhy98qt4 137 8 knowledge knowledge NN cord-331771-fhy98qt4 137 9 higher high JJR cord-331771-fhy98qt4 137 10 than than IN cord-331771-fhy98qt4 137 11 that that DT cord-331771-fhy98qt4 137 12 of of IN cord-331771-fhy98qt4 137 13 rumor rumor NN cord-331771-fhy98qt4 137 14 . . . cord-331771-fhy98qt4 138 1 Based base VBN cord-331771-fhy98qt4 138 2 on on IN cord-331771-fhy98qt4 138 3 the the DT cord-331771-fhy98qt4 138 4 discrete discrete JJ cord-331771-fhy98qt4 138 5 - - HYPH cord-331771-fhy98qt4 138 6 time time NN cord-331771-fhy98qt4 138 7 probabilities probability NNS cord-331771-fhy98qt4 138 8 of of IN cord-331771-fhy98qt4 138 9 state state NN cord-331771-fhy98qt4 138 10 transitions transition NNS cord-331771-fhy98qt4 138 11 , , , cord-331771-fhy98qt4 138 12 we -PRON- PRP cord-331771-fhy98qt4 138 13 derive derive VBP cord-331771-fhy98qt4 138 14 the the DT cord-331771-fhy98qt4 138 15 continuous continuous JJ cord-331771-fhy98qt4 138 16 - - HYPH cord-331771-fhy98qt4 138 17 time time NN cord-331771-fhy98qt4 138 18 probabilities probability NNS cord-331771-fhy98qt4 138 19 following follow VBG cord-331771-fhy98qt4 138 20 Wu Wu NNP cord-331771-fhy98qt4 138 21 et et NNP cord-331771-fhy98qt4 138 22 al al NNP cord-331771-fhy98qt4 138 23 . . . cord-331771-fhy98qt4 139 1 [ [ -LRB- cord-331771-fhy98qt4 139 2 51 51 CD cord-331771-fhy98qt4 139 3 ] ] -RRB- cord-331771-fhy98qt4 139 4 , , , cord-331771-fhy98qt4 139 5 as as IN cord-331771-fhy98qt4 139 6 detailed detail VBN cord-331771-fhy98qt4 139 7 in in IN cord-331771-fhy98qt4 139 8 the the DT cord-331771-fhy98qt4 139 9 Appendix Appendix NNP cord-331771-fhy98qt4 140 1 A-1 A-1 NNP cord-331771-fhy98qt4 140 2 . . . cord-331771-fhy98qt4 141 1 The the DT cord-331771-fhy98qt4 141 2 mean mean JJ cord-331771-fhy98qt4 141 3 - - HYPH cord-331771-fhy98qt4 141 4 field field NN cord-331771-fhy98qt4 141 5 dynamic dynamic JJ cord-331771-fhy98qt4 141 6 equations equation NNS cord-331771-fhy98qt4 141 7 of of IN cord-331771-fhy98qt4 141 8 information information NN cord-331771-fhy98qt4 141 9 diffusion diffusion NN cord-331771-fhy98qt4 141 10 are be VBP cord-331771-fhy98qt4 141 11 then then RB cord-331771-fhy98qt4 141 12 derived derive VBN cord-331771-fhy98qt4 141 13 as as IN cord-331771-fhy98qt4 141 14 below below RB cord-331771-fhy98qt4 141 15 , , , cord-331771-fhy98qt4 141 16 we -PRON- PRP cord-331771-fhy98qt4 141 17 calculate calculate VBP cord-331771-fhy98qt4 141 18 the the DT cord-331771-fhy98qt4 141 19 equilibrium equilibrium NN cord-331771-fhy98qt4 141 20 of of IN cord-331771-fhy98qt4 141 21 information information NN cord-331771-fhy98qt4 141 22 diffusion diffusion NN cord-331771-fhy98qt4 141 23 , , , cord-331771-fhy98qt4 141 24 based base VBN cord-331771-fhy98qt4 141 25 on on IN cord-331771-fhy98qt4 141 26 which which WDT cord-331771-fhy98qt4 141 27 we -PRON- PRP cord-331771-fhy98qt4 141 28 are be VBP cord-331771-fhy98qt4 141 29 able able JJ cord-331771-fhy98qt4 141 30 to to TO cord-331771-fhy98qt4 141 31 derive derive VB cord-331771-fhy98qt4 141 32 the the DT cord-331771-fhy98qt4 141 33 thresholds threshold NNS cord-331771-fhy98qt4 141 34 for for IN cord-331771-fhy98qt4 141 35 rumor rumor NN cord-331771-fhy98qt4 141 36 and and CC cord-331771-fhy98qt4 141 37 knowledge knowledge NN cord-331771-fhy98qt4 141 38 to to TO cord-331771-fhy98qt4 141 39 break break VB cord-331771-fhy98qt4 141 40 out out RP cord-331771-fhy98qt4 141 41 , , , cord-331771-fhy98qt4 141 42 as as IN cord-331771-fhy98qt4 141 43 detailed detail VBN cord-331771-fhy98qt4 141 44 in in IN cord-331771-fhy98qt4 141 45 the the DT cord-331771-fhy98qt4 141 46 Appendix Appendix NNP cord-331771-fhy98qt4 141 47 A-2 A-2 NNP cord-331771-fhy98qt4 141 48 . . . cord-331771-fhy98qt4 142 1 The the DT cord-331771-fhy98qt4 142 2 outbreak outbreak NN cord-331771-fhy98qt4 142 3 of of IN cord-331771-fhy98qt4 142 4 rumor rumor NN cord-331771-fhy98qt4 142 5 requires require VBZ cord-331771-fhy98qt4 142 6 the the DT cord-331771-fhy98qt4 142 7 following follow VBG cord-331771-fhy98qt4 142 8 inequality inequality NN cord-331771-fhy98qt4 142 9 to to TO cord-331771-fhy98qt4 142 10 be be VB cord-331771-fhy98qt4 142 11 satisfied satisfy VBN cord-331771-fhy98qt4 142 12 Here here RB cord-331771-fhy98qt4 142 13 " " `` cord-331771-fhy98qt4 142 14 S S NNP cord-331771-fhy98qt4 142 15 " " '' cord-331771-fhy98qt4 142 16 denotes denote VBZ cord-331771-fhy98qt4 142 17 the the DT cord-331771-fhy98qt4 142 18 state state NN cord-331771-fhy98qt4 142 19 that that IN cord-331771-fhy98qt4 142 20 people people NNS cord-331771-fhy98qt4 142 21 are be VBP cord-331771-fhy98qt4 142 22 susceptible susceptible JJ cord-331771-fhy98qt4 142 23 to to IN cord-331771-fhy98qt4 142 24 the the DT cord-331771-fhy98qt4 142 25 epidemic epidemic NN cord-331771-fhy98qt4 142 26 , , , cord-331771-fhy98qt4 142 27 " " `` cord-331771-fhy98qt4 142 28 E E NNP cord-331771-fhy98qt4 142 29 " " '' cord-331771-fhy98qt4 142 30 denotes denote VBZ cord-331771-fhy98qt4 142 31 the the DT cord-331771-fhy98qt4 142 32 state state NN cord-331771-fhy98qt4 142 33 that that IN cord-331771-fhy98qt4 142 34 people people NNS cord-331771-fhy98qt4 142 35 are be VBP cord-331771-fhy98qt4 142 36 infected infect VBN cord-331771-fhy98qt4 142 37 but but CC cord-331771-fhy98qt4 142 38 are be VBP cord-331771-fhy98qt4 142 39 not not RB cord-331771-fhy98qt4 142 40 detected detect VBN cord-331771-fhy98qt4 142 41 , , , cord-331771-fhy98qt4 142 42 and and CC cord-331771-fhy98qt4 142 43 " " `` cord-331771-fhy98qt4 142 44 I -PRON- PRP cord-331771-fhy98qt4 142 45 " " '' cord-331771-fhy98qt4 142 46 denotes denote VBZ cord-331771-fhy98qt4 142 47 the the DT cord-331771-fhy98qt4 142 48 state state NN cord-331771-fhy98qt4 142 49 that that IN cord-331771-fhy98qt4 142 50 people people NNS cord-331771-fhy98qt4 142 51 are be VBP cord-331771-fhy98qt4 142 52 infected infect VBN cord-331771-fhy98qt4 142 53 and and CC cord-331771-fhy98qt4 142 54 detected detect VBN cord-331771-fhy98qt4 142 55 . . . cord-331771-fhy98qt4 143 1 β β NN cord-331771-fhy98qt4 143 2 1 1 CD cord-331771-fhy98qt4 143 3 denotes denote VBZ cord-331771-fhy98qt4 143 4 the the DT cord-331771-fhy98qt4 143 5 infectivity infectivity NN cord-331771-fhy98qt4 143 6 of of IN cord-331771-fhy98qt4 143 7 epidemic epidemic NN cord-331771-fhy98qt4 143 8 . . . cord-331771-fhy98qt4 144 1 β β NN cord-331771-fhy98qt4 144 2 2 2 CD cord-331771-fhy98qt4 144 3 denotes denote VBZ cord-331771-fhy98qt4 144 4 the the DT cord-331771-fhy98qt4 144 5 infectivity infectivity NN cord-331771-fhy98qt4 144 6 of of IN cord-331771-fhy98qt4 144 7 epidemic epidemic NN cord-331771-fhy98qt4 144 8 on on IN cord-331771-fhy98qt4 144 9 the the DT cord-331771-fhy98qt4 144 10 knowledge knowledge NN cord-331771-fhy98qt4 144 11 - - HYPH cord-331771-fhy98qt4 144 12 believed believe VBN cord-331771-fhy98qt4 144 13 nodes node NNS cord-331771-fhy98qt4 144 14 . . . cord-331771-fhy98qt4 145 1 γ γ NNP cord-331771-fhy98qt4 145 2 denotes denote VBZ cord-331771-fhy98qt4 145 3 the the DT cord-331771-fhy98qt4 145 4 detecting detect VBG cord-331771-fhy98qt4 145 5 probability probability NN cord-331771-fhy98qt4 145 6 of of IN cord-331771-fhy98qt4 145 7 the the DT cord-331771-fhy98qt4 145 8 infected infected JJ cord-331771-fhy98qt4 145 9 nodes node NNS cord-331771-fhy98qt4 145 10 . . . cord-331771-fhy98qt4 146 1 f f NNP cord-331771-fhy98qt4 146 2 denotes denote VBZ cord-331771-fhy98qt4 146 3 the the DT cord-331771-fhy98qt4 146 4 recovery recovery NN cord-331771-fhy98qt4 146 5 probability probability NN cord-331771-fhy98qt4 146 6 of of IN cord-331771-fhy98qt4 146 7 the the DT cord-331771-fhy98qt4 146 8 infected infected JJ cord-331771-fhy98qt4 146 9 nodes node NNS cord-331771-fhy98qt4 146 10 . . . cord-331771-fhy98qt4 147 1 while while IN cord-331771-fhy98qt4 147 2 the the DT cord-331771-fhy98qt4 147 3 outbreak outbreak NN cord-331771-fhy98qt4 147 4 of of IN cord-331771-fhy98qt4 147 5 knowledge knowledge NN cord-331771-fhy98qt4 147 6 requires require VBZ cord-331771-fhy98qt4 147 7 the the DT cord-331771-fhy98qt4 147 8 following follow VBG cord-331771-fhy98qt4 147 9 inequality inequality NN cord-331771-fhy98qt4 147 10 to to TO cord-331771-fhy98qt4 147 11 be be VB cord-331771-fhy98qt4 147 12 satisfied satisfied JJ cord-331771-fhy98qt4 147 13 Previous previous JJ cord-331771-fhy98qt4 147 14 studies study NNS cord-331771-fhy98qt4 147 15 have have VBP cord-331771-fhy98qt4 147 16 extensively extensively RB cord-331771-fhy98qt4 147 17 modeled model VBN cord-331771-fhy98qt4 147 18 the the DT cord-331771-fhy98qt4 147 19 spread spread NN cord-331771-fhy98qt4 147 20 of of IN cord-331771-fhy98qt4 147 21 epidemic epidemic NN cord-331771-fhy98qt4 147 22 in in IN cord-331771-fhy98qt4 147 23 the the DT cord-331771-fhy98qt4 147 24 contact contact NN cord-331771-fhy98qt4 147 25 - - HYPH cord-331771-fhy98qt4 147 26 layer layer NN cord-331771-fhy98qt4 147 27 network network NN cord-331771-fhy98qt4 147 28 [ [ -LRB- cord-331771-fhy98qt4 147 29 52 52 CD cord-331771-fhy98qt4 147 30 ] ] -RRB- cord-331771-fhy98qt4 147 31 [ [ -LRB- cord-331771-fhy98qt4 147 32 53 53 CD cord-331771-fhy98qt4 147 33 ] ] -RRB- cord-331771-fhy98qt4 147 34 [ [ -LRB- cord-331771-fhy98qt4 147 35 54 54 CD cord-331771-fhy98qt4 147 36 ] ] -RRB- cord-331771-fhy98qt4 147 37 [ [ -LRB- cord-331771-fhy98qt4 147 38 55 55 CD cord-331771-fhy98qt4 147 39 ] ] -RRB- cord-331771-fhy98qt4 147 40 . . . cord-331771-fhy98qt4 148 1 As as IN cord-331771-fhy98qt4 148 2 shown show VBN cord-331771-fhy98qt4 148 3 in in IN cord-331771-fhy98qt4 148 4 Fig Fig NNP cord-331771-fhy98qt4 148 5 . . . cord-331771-fhy98qt4 149 1 3 3 LS cord-331771-fhy98qt4 149 2 , , , cord-331771-fhy98qt4 149 3 we -PRON- PRP cord-331771-fhy98qt4 149 4 adopt adopt VBP cord-331771-fhy98qt4 149 5 a a DT cord-331771-fhy98qt4 149 6 transformed transform VBN cord-331771-fhy98qt4 149 7 SEIS SEIS NNP cord-331771-fhy98qt4 149 8 model model NN cord-331771-fhy98qt4 149 9 ( ( -LRB- cord-331771-fhy98qt4 149 10 or or CC cord-331771-fhy98qt4 149 11 SIIS SIIS NNP cord-331771-fhy98qt4 149 12 model model NN cord-331771-fhy98qt4 149 13 [ [ -LRB- cord-331771-fhy98qt4 149 14 28 28 CD cord-331771-fhy98qt4 149 15 ] ] -RRB- cord-331771-fhy98qt4 149 16 ) ) -RRB- cord-331771-fhy98qt4 149 17 , , , cord-331771-fhy98qt4 149 18 which which WDT cord-331771-fhy98qt4 149 19 is be VBZ cord-331771-fhy98qt4 149 20 slightly slightly RB cord-331771-fhy98qt4 149 21 different different JJ cord-331771-fhy98qt4 149 22 from from IN cord-331771-fhy98qt4 149 23 the the DT cord-331771-fhy98qt4 149 24 typical typical JJ cord-331771-fhy98qt4 149 25 SEIS SEIS NNP cord-331771-fhy98qt4 149 26 models model NNS cord-331771-fhy98qt4 149 27 [ [ -LRB- cord-331771-fhy98qt4 149 28 56 56 CD cord-331771-fhy98qt4 149 29 , , , cord-331771-fhy98qt4 149 30 57 57 CD cord-331771-fhy98qt4 149 31 ] ] -RRB- cord-331771-fhy98qt4 149 32 , , , cord-331771-fhy98qt4 149 33 to to TO cord-331771-fhy98qt4 149 34 describe describe VB cord-331771-fhy98qt4 149 35 the the DT cord-331771-fhy98qt4 149 36 spread spread NN cord-331771-fhy98qt4 149 37 of of IN cord-331771-fhy98qt4 149 38 epidemic epidemic NN cord-331771-fhy98qt4 149 39 . . . cord-331771-fhy98qt4 150 1 When when WRB cord-331771-fhy98qt4 150 2 a a DT cord-331771-fhy98qt4 150 3 susceptible susceptible JJ cord-331771-fhy98qt4 150 4 node node NN cord-331771-fhy98qt4 150 5 contacts contact NNS cord-331771-fhy98qt4 150 6 with with IN cord-331771-fhy98qt4 150 7 an an DT cord-331771-fhy98qt4 150 8 undetected undetected JJ cord-331771-fhy98qt4 150 9 infected infected JJ cord-331771-fhy98qt4 150 10 peer peer NN cord-331771-fhy98qt4 150 11 , , , cord-331771-fhy98qt4 150 12 s s NN cord-331771-fhy98qt4 150 13 / / SYM cord-331771-fhy98qt4 150 14 he -PRON- PRP cord-331771-fhy98qt4 150 15 may may MD cord-331771-fhy98qt4 150 16 become become VB cord-331771-fhy98qt4 150 17 infected infected JJ cord-331771-fhy98qt4 150 18 but but CC cord-331771-fhy98qt4 150 19 is be VBZ cord-331771-fhy98qt4 150 20 not not RB cord-331771-fhy98qt4 150 21 detected detect VBN cord-331771-fhy98qt4 150 22 ( ( -LRB- cord-331771-fhy98qt4 150 23 e.g. e.g. RB cord-331771-fhy98qt4 150 24 , , , cord-331771-fhy98qt4 150 25 with with IN cord-331771-fhy98qt4 150 26 mild mild JJ cord-331771-fhy98qt4 150 27 symptoms symptom NNS cord-331771-fhy98qt4 150 28 ) ) -RRB- cord-331771-fhy98qt4 150 29 . . . cord-331771-fhy98qt4 151 1 The the DT cord-331771-fhy98qt4 151 2 infectivity infectivity NN cord-331771-fhy98qt4 151 3 of of IN cord-331771-fhy98qt4 151 4 the the DT cord-331771-fhy98qt4 151 5 epidemic epidemic NN cord-331771-fhy98qt4 151 6 is be VBZ cord-331771-fhy98qt4 151 7 β β NN cord-331771-fhy98qt4 151 8 1 1 CD cord-331771-fhy98qt4 151 9 . . . cord-331771-fhy98qt4 152 1 The the DT cord-331771-fhy98qt4 152 2 undetected undetected JJ cord-331771-fhy98qt4 152 3 infected infected JJ cord-331771-fhy98qt4 152 4 nodes node NNS cord-331771-fhy98qt4 152 5 are be VBP cord-331771-fhy98qt4 152 6 detected detect VBN cord-331771-fhy98qt4 152 7 at at IN cord-331771-fhy98qt4 152 8 rate rate NN cord-331771-fhy98qt4 152 9 γ γ NN cord-331771-fhy98qt4 152 10 . . . cord-331771-fhy98qt4 153 1 Once once RB cord-331771-fhy98qt4 153 2 detected detect VBN cord-331771-fhy98qt4 153 3 ( ( -LRB- cord-331771-fhy98qt4 153 4 e.g. e.g. RB cord-331771-fhy98qt4 153 5 , , , cord-331771-fhy98qt4 153 6 with with IN cord-331771-fhy98qt4 153 7 severe severe JJ cord-331771-fhy98qt4 153 8 symptoms symptom NNS cord-331771-fhy98qt4 153 9 ) ) -RRB- cord-331771-fhy98qt4 153 10 , , , cord-331771-fhy98qt4 153 11 the the DT cord-331771-fhy98qt4 153 12 infected infected JJ cord-331771-fhy98qt4 153 13 nodes node NNS cord-331771-fhy98qt4 153 14 will will MD cord-331771-fhy98qt4 153 15 be be VB cord-331771-fhy98qt4 153 16 quarantined quarantine VBN cord-331771-fhy98qt4 153 17 immediately immediately RB cord-331771-fhy98qt4 153 18 and and CC cord-331771-fhy98qt4 153 19 can can MD cord-331771-fhy98qt4 153 20 not not RB cord-331771-fhy98qt4 153 21 infect infect VB cord-331771-fhy98qt4 153 22 other other JJ cord-331771-fhy98qt4 153 23 susceptible susceptible JJ cord-331771-fhy98qt4 153 24 nodes node NNS cord-331771-fhy98qt4 153 25 . . . cord-331771-fhy98qt4 154 1 After after IN cord-331771-fhy98qt4 154 2 a a DT cord-331771-fhy98qt4 154 3 period period NN cord-331771-fhy98qt4 154 4 of of IN cord-331771-fhy98qt4 154 5 treatment treatment NN cord-331771-fhy98qt4 154 6 , , , cord-331771-fhy98qt4 154 7 the the DT cord-331771-fhy98qt4 154 8 detected detect VBN cord-331771-fhy98qt4 154 9 infected infected JJ cord-331771-fhy98qt4 154 10 nodes node NNS cord-331771-fhy98qt4 154 11 recover recover VBP cord-331771-fhy98qt4 154 12 to to IN cord-331771-fhy98qt4 154 13 the the DT cord-331771-fhy98qt4 154 14 susceptible susceptible JJ cord-331771-fhy98qt4 154 15 state state NN cord-331771-fhy98qt4 154 16 at at IN cord-331771-fhy98qt4 154 17 rate rate NN cord-331771-fhy98qt4 154 18 f f NNP cord-331771-fhy98qt4 154 19 . . . cord-331771-fhy98qt4 155 1 In in IN cord-331771-fhy98qt4 155 2 addition addition NN cord-331771-fhy98qt4 155 3 , , , cord-331771-fhy98qt4 155 4 the the DT cord-331771-fhy98qt4 155 5 diffusion diffusion NN cord-331771-fhy98qt4 155 6 of of IN cord-331771-fhy98qt4 155 7 information information NN cord-331771-fhy98qt4 155 8 has have VBZ cord-331771-fhy98qt4 155 9 an an DT cord-331771-fhy98qt4 155 10 important important JJ cord-331771-fhy98qt4 155 11 impact impact NN cord-331771-fhy98qt4 155 12 on on IN cord-331771-fhy98qt4 155 13 the the DT cord-331771-fhy98qt4 155 14 spread spread NN cord-331771-fhy98qt4 155 15 of of IN cord-331771-fhy98qt4 155 16 epidemic epidemic NN cord-331771-fhy98qt4 155 17 . . . cord-331771-fhy98qt4 156 1 When when WRB cord-331771-fhy98qt4 156 2 the the DT cord-331771-fhy98qt4 156 3 knowledgebelieved knowledgebelieved JJ cord-331771-fhy98qt4 156 4 nodes node NNS cord-331771-fhy98qt4 156 5 take take VBP cord-331771-fhy98qt4 156 6 an an DT cord-331771-fhy98qt4 156 7 effective effective JJ cord-331771-fhy98qt4 156 8 protective protective JJ cord-331771-fhy98qt4 156 9 measure measure NN cord-331771-fhy98qt4 156 10 , , , cord-331771-fhy98qt4 156 11 s s NN cord-331771-fhy98qt4 156 12 / / SYM cord-331771-fhy98qt4 156 13 he -PRON- PRP cord-331771-fhy98qt4 156 14 will will MD cord-331771-fhy98qt4 156 15 reduce reduce VB cord-331771-fhy98qt4 156 16 her -PRON- PRP$ cord-331771-fhy98qt4 156 17 / / SYM cord-331771-fhy98qt4 156 18 his -PRON- PRP$ cord-331771-fhy98qt4 156 19 susceptibility susceptibility NN cord-331771-fhy98qt4 156 20 to to IN cord-331771-fhy98qt4 156 21 the the DT cord-331771-fhy98qt4 156 22 epidemic epidemic NN cord-331771-fhy98qt4 156 23 . . . cord-331771-fhy98qt4 157 1 Without without IN cord-331771-fhy98qt4 157 2 loss loss NN cord-331771-fhy98qt4 157 3 of of IN cord-331771-fhy98qt4 157 4 generality generality NN cord-331771-fhy98qt4 157 5 , , , cord-331771-fhy98qt4 157 6 we -PRON- PRP cord-331771-fhy98qt4 157 7 propose propose VBP cord-331771-fhy98qt4 157 8 that that IN cord-331771-fhy98qt4 157 9 the the DT cord-331771-fhy98qt4 157 10 infectivity infectivity NN cord-331771-fhy98qt4 157 11 of of IN cord-331771-fhy98qt4 157 12 epidemic epidemic NN cord-331771-fhy98qt4 157 13 on on IN cord-331771-fhy98qt4 157 14 the the DT cord-331771-fhy98qt4 157 15 knowledge knowledge NN cord-331771-fhy98qt4 157 16 - - HYPH cord-331771-fhy98qt4 157 17 believed believe VBN cord-331771-fhy98qt4 157 18 nodes node NNS cord-331771-fhy98qt4 157 19 changes change VBZ cord-331771-fhy98qt4 157 20 to to IN cord-331771-fhy98qt4 157 21 β β NN cord-331771-fhy98qt4 157 22 2 2 CD cord-331771-fhy98qt4 157 23 . . . cord-331771-fhy98qt4 158 1 Apparently apparently RB cord-331771-fhy98qt4 158 2 , , , cord-331771-fhy98qt4 158 3 β β NN cord-331771-fhy98qt4 158 4 2 2 CD cord-331771-fhy98qt4 158 5 < < XX cord-331771-fhy98qt4 158 6 β β XX cord-331771-fhy98qt4 158 7 1 1 CD cord-331771-fhy98qt4 158 8 . . . cord-331771-fhy98qt4 159 1 However however RB cord-331771-fhy98qt4 159 2 , , , cord-331771-fhy98qt4 159 3 the the DT cord-331771-fhy98qt4 159 4 rumor rumor NN cord-331771-fhy98qt4 159 5 - - HYPH cord-331771-fhy98qt4 159 6 believed believe VBN cord-331771-fhy98qt4 159 7 nodes node NNS cord-331771-fhy98qt4 159 8 adopt adopt VBP cord-331771-fhy98qt4 159 9 an an DT cord-331771-fhy98qt4 159 10 ineffective ineffective JJ cord-331771-fhy98qt4 159 11 measure measure NN cord-331771-fhy98qt4 159 12 and and CC cord-331771-fhy98qt4 159 13 the the DT cord-331771-fhy98qt4 159 14 epidemic epidemic NN cord-331771-fhy98qt4 159 15 infectivity infectivity NN cord-331771-fhy98qt4 159 16 on on IN cord-331771-fhy98qt4 159 17 them -PRON- PRP cord-331771-fhy98qt4 159 18 remains remain VBZ cord-331771-fhy98qt4 159 19 β β NN cord-331771-fhy98qt4 159 20 1 1 CD cord-331771-fhy98qt4 159 21 . . . cord-331771-fhy98qt4 160 1 Previous previous JJ cord-331771-fhy98qt4 160 2 studies study NNS cord-331771-fhy98qt4 160 3 assumed assume VBD cord-331771-fhy98qt4 160 4 that that IN cord-331771-fhy98qt4 160 5 the the DT cord-331771-fhy98qt4 160 6 spread spread NN cord-331771-fhy98qt4 160 7 of of IN cord-331771-fhy98qt4 160 8 epidemic epidemic NN cord-331771-fhy98qt4 160 9 would would MD cord-331771-fhy98qt4 160 10 continuously continuously RB cord-331771-fhy98qt4 160 11 promote promote VB cord-331771-fhy98qt4 160 12 the the DT cord-331771-fhy98qt4 160 13 diffusion diffusion NN cord-331771-fhy98qt4 160 14 of of IN cord-331771-fhy98qt4 160 15 information information NN cord-331771-fhy98qt4 160 16 , , , cord-331771-fhy98qt4 160 17 because because IN cord-331771-fhy98qt4 160 18 the the DT cord-331771-fhy98qt4 160 19 infected infected JJ cord-331771-fhy98qt4 160 20 nodes node NNS cord-331771-fhy98qt4 160 21 were be VBD cord-331771-fhy98qt4 160 22 identified identify VBN cord-331771-fhy98qt4 160 23 as as IN cord-331771-fhy98qt4 160 24 risk risk NN cord-331771-fhy98qt4 160 25 sources source NNS cord-331771-fhy98qt4 160 26 for for IN cord-331771-fhy98qt4 160 27 their -PRON- PRP$ cord-331771-fhy98qt4 160 28 neighbors neighbor NNS cord-331771-fhy98qt4 160 29 [ [ -LRB- cord-331771-fhy98qt4 160 30 27 27 CD cord-331771-fhy98qt4 160 31 ] ] -RRB- cord-331771-fhy98qt4 160 32 . . . cord-331771-fhy98qt4 161 1 In in IN cord-331771-fhy98qt4 161 2 this this DT cord-331771-fhy98qt4 161 3 research research NN cord-331771-fhy98qt4 161 4 , , , cord-331771-fhy98qt4 161 5 the the DT cord-331771-fhy98qt4 161 6 detected detect VBN cord-331771-fhy98qt4 161 7 infected infected JJ cord-331771-fhy98qt4 161 8 nodes node NNS cord-331771-fhy98qt4 161 9 are be VBP cord-331771-fhy98qt4 161 10 quarantined quarantine VBN cord-331771-fhy98qt4 161 11 and and CC cord-331771-fhy98qt4 161 12 " " `` cord-331771-fhy98qt4 161 13 of of IN cord-331771-fhy98qt4 161 14 no no DT cord-331771-fhy98qt4 161 15 risk risk NN cord-331771-fhy98qt4 161 16 " " '' cord-331771-fhy98qt4 161 17 , , , cord-331771-fhy98qt4 161 18 while while IN cord-331771-fhy98qt4 161 19 the the DT cord-331771-fhy98qt4 161 20 direct direct JJ cord-331771-fhy98qt4 161 21 risk risk NN cord-331771-fhy98qt4 161 22 sources source NNS cord-331771-fhy98qt4 161 23 are be VBP cord-331771-fhy98qt4 161 24 undetected undetected JJ cord-331771-fhy98qt4 161 25 . . . cord-331771-fhy98qt4 162 1 As as IN cord-331771-fhy98qt4 162 2 a a DT cord-331771-fhy98qt4 162 3 result result NN cord-331771-fhy98qt4 162 4 , , , cord-331771-fhy98qt4 162 5 the the DT cord-331771-fhy98qt4 162 6 effect effect NN cord-331771-fhy98qt4 162 7 of of IN cord-331771-fhy98qt4 162 8 local local JJ cord-331771-fhy98qt4 162 9 risk risk NN cord-331771-fhy98qt4 162 10 information information NN cord-331771-fhy98qt4 162 11 on on IN cord-331771-fhy98qt4 162 12 containing contain VBG cord-331771-fhy98qt4 162 13 the the DT cord-331771-fhy98qt4 162 14 epidemic epidemic NN cord-331771-fhy98qt4 162 15 is be VBZ cord-331771-fhy98qt4 162 16 greatly greatly RB cord-331771-fhy98qt4 162 17 reduced reduce VBN cord-331771-fhy98qt4 162 18 [ [ -LRB- cord-331771-fhy98qt4 162 19 28 28 CD cord-331771-fhy98qt4 162 20 ] ] -RRB- cord-331771-fhy98qt4 162 21 . . . cord-331771-fhy98qt4 163 1 Moreover moreover RB cord-331771-fhy98qt4 163 2 , , , cord-331771-fhy98qt4 163 3 we -PRON- PRP cord-331771-fhy98qt4 163 4 focus focus VBP cord-331771-fhy98qt4 163 5 on on IN cord-331771-fhy98qt4 163 6 pre pre JJ cord-331771-fhy98qt4 163 7 - - NN cord-331771-fhy98qt4 163 8 protection protection NN cord-331771-fhy98qt4 163 9 instead instead RB cord-331771-fhy98qt4 163 10 of of IN cord-331771-fhy98qt4 163 11 local local JJ cord-331771-fhy98qt4 163 12 - - HYPH cord-331771-fhy98qt4 163 13 risk risk NN cord-331771-fhy98qt4 163 14 protection protection NN cord-331771-fhy98qt4 163 15 ( ( -LRB- cord-331771-fhy98qt4 163 16 e.g. e.g. RB cord-331771-fhy98qt4 163 17 , , , cord-331771-fhy98qt4 163 18 high high JJ cord-331771-fhy98qt4 163 19 - - HYPH cord-331771-fhy98qt4 163 20 risk risk NN cord-331771-fhy98qt4 163 21 immunization immunization NN cord-331771-fhy98qt4 163 22 [ [ -LRB- cord-331771-fhy98qt4 163 23 58 58 CD cord-331771-fhy98qt4 163 24 ] ] -RRB- cord-331771-fhy98qt4 163 25 ) ) -RRB- cord-331771-fhy98qt4 163 26 . . . cord-331771-fhy98qt4 164 1 Therefore therefore RB cord-331771-fhy98qt4 164 2 , , , cord-331771-fhy98qt4 164 3 we -PRON- PRP cord-331771-fhy98qt4 164 4 do do VBP cord-331771-fhy98qt4 164 5 n't not RB cord-331771-fhy98qt4 164 6 consider consider VB cord-331771-fhy98qt4 164 7 such such JJ cord-331771-fhy98qt4 164 8 local local JJ cord-331771-fhy98qt4 164 9 risk risk NN cord-331771-fhy98qt4 164 10 information information NN cord-331771-fhy98qt4 164 11 in in IN cord-331771-fhy98qt4 164 12 this this DT cord-331771-fhy98qt4 164 13 research research NN cord-331771-fhy98qt4 164 14 . . . cord-331771-fhy98qt4 165 1 We -PRON- PRP cord-331771-fhy98qt4 165 2 use use VBP cord-331771-fhy98qt4 165 3 ϕ ϕ NN cord-331771-fhy98qt4 165 4 E e NN cord-331771-fhy98qt4 165 5 ( ( -LRB- cord-331771-fhy98qt4 165 6 t t NN cord-331771-fhy98qt4 165 7 ) ) -RRB- cord-331771-fhy98qt4 165 8 to to TO cord-331771-fhy98qt4 165 9 denote denote VB cord-331771-fhy98qt4 165 10 the the DT cord-331771-fhy98qt4 165 11 probability probability NN cord-331771-fhy98qt4 165 12 of of IN cord-331771-fhy98qt4 165 13 a a DT cord-331771-fhy98qt4 165 14 randomly randomly RB cord-331771-fhy98qt4 165 15 selected select VBN cord-331771-fhy98qt4 165 16 link link NN cord-331771-fhy98qt4 165 17 pointing point VBG cord-331771-fhy98qt4 165 18 to to IN cord-331771-fhy98qt4 165 19 an an DT cord-331771-fhy98qt4 165 20 undetected undetected JJ cord-331771-fhy98qt4 165 21 infected infected JJ cord-331771-fhy98qt4 165 22 node node NN cord-331771-fhy98qt4 165 23 . . . cord-331771-fhy98qt4 166 1 It -PRON- PRP cord-331771-fhy98qt4 166 2 can can MD cord-331771-fhy98qt4 166 3 be be VB cord-331771-fhy98qt4 166 4 calculated calculate VBN cord-331771-fhy98qt4 166 5 as as IN cord-331771-fhy98qt4 166 6 [ [ -LRB- cord-331771-fhy98qt4 166 7 50 50 CD cord-331771-fhy98qt4 166 8 ] ] -RRB- cord-331771-fhy98qt4 167 1 ϕ ϕ NN cord-331771-fhy98qt4 167 2 where where WRB cord-331771-fhy98qt4 167 3 E E NNP cord-331771-fhy98qt4 167 4 k k NNP cord-331771-fhy98qt4 167 5 ( ( -LRB- cord-331771-fhy98qt4 167 6 t t NN cord-331771-fhy98qt4 167 7 ) ) -RRB- cord-331771-fhy98qt4 167 8 denotes denote VBZ cord-331771-fhy98qt4 167 9 the the DT cord-331771-fhy98qt4 167 10 density density NN cord-331771-fhy98qt4 167 11 of of IN cord-331771-fhy98qt4 167 12 undetected undetected JJ cord-331771-fhy98qt4 167 13 infected infected JJ cord-331771-fhy98qt4 167 14 nodes node NNS cord-331771-fhy98qt4 167 15 among among IN cord-331771-fhy98qt4 167 16 the the DT cord-331771-fhy98qt4 167 17 nodes node NNS cord-331771-fhy98qt4 167 18 with with IN cord-331771-fhy98qt4 167 19 degree degree NN cord-331771-fhy98qt4 167 20 k k NN cord-331771-fhy98qt4 167 21 at at IN cord-331771-fhy98qt4 167 22 time time NN cord-331771-fhy98qt4 167 23 t t NNP cord-331771-fhy98qt4 167 24 . . . cord-331771-fhy98qt4 168 1 The the DT cord-331771-fhy98qt4 168 2 contact contact NN cord-331771-fhy98qt4 168 3 - - HYPH cord-331771-fhy98qt4 168 4 layer layer NN cord-331771-fhy98qt4 168 5 network network NN cord-331771-fhy98qt4 168 6 is be VBZ cord-331771-fhy98qt4 168 7 a a DT cord-331771-fhy98qt4 168 8 sub sub JJ cord-331771-fhy98qt4 168 9 - - JJ cord-331771-fhy98qt4 168 10 network network NN cord-331771-fhy98qt4 168 11 of of IN cord-331771-fhy98qt4 168 12 the the DT cord-331771-fhy98qt4 168 13 communication communication NN cord-331771-fhy98qt4 168 14 - - HYPH cord-331771-fhy98qt4 168 15 layer layer NN cord-331771-fhy98qt4 168 16 network network NN cord-331771-fhy98qt4 168 17 . . . cord-331771-fhy98qt4 169 1 We -PRON- PRP cord-331771-fhy98qt4 169 2 assume assume VBP cord-331771-fhy98qt4 169 3 that that IN cord-331771-fhy98qt4 169 4 it -PRON- PRP cord-331771-fhy98qt4 169 5 is be VBZ cord-331771-fhy98qt4 169 6 also also RB cord-331771-fhy98qt4 169 7 homogeneous homogeneous JJ cord-331771-fhy98qt4 169 8 . . . cord-331771-fhy98qt4 170 1 The the DT cord-331771-fhy98qt4 170 2 node node NN cord-331771-fhy98qt4 170 3 degree degree NN cord-331771-fhy98qt4 170 4 is be VBZ cord-331771-fhy98qt4 170 5 set set VBN cord-331771-fhy98qt4 170 6 as as IN cord-331771-fhy98qt4 170 7 k k NNP cord-331771-fhy98qt4 170 8 . . . cord-331771-fhy98qt4 171 1 It -PRON- PRP cord-331771-fhy98qt4 171 2 can can MD cord-331771-fhy98qt4 171 3 be be VB cord-331771-fhy98qt4 171 4 approximately approximately RB cord-331771-fhy98qt4 171 5 obtained obtain VBN cord-331771-fhy98qt4 171 6 that that IN cord-331771-fhy98qt4 171 7 ϕ ϕ NN cord-331771-fhy98qt4 171 8 E e NN cord-331771-fhy98qt4 171 9 ( ( -LRB- cord-331771-fhy98qt4 171 10 t t NN cord-331771-fhy98qt4 171 11 ) ) -RRB- cord-331771-fhy98qt4 171 12 = = SYM cord-331771-fhy98qt4 171 13 E(t E(t NNP cord-331771-fhy98qt4 171 14 ) ) -RRB- cord-331771-fhy98qt4 171 15 . . . cord-331771-fhy98qt4 172 1 The the DT cord-331771-fhy98qt4 172 2 probability probability NN cord-331771-fhy98qt4 172 3 that that IN cord-331771-fhy98qt4 172 4 a a DT cord-331771-fhy98qt4 172 5 node node NN cord-331771-fhy98qt4 172 6 has have VBZ cord-331771-fhy98qt4 172 7 m m CD cord-331771-fhy98qt4 172 8 undetected undetected JJ cord-331771-fhy98qt4 172 9 infected infected JJ cord-331771-fhy98qt4 172 10 neighbors neighbor NNS cord-331771-fhy98qt4 172 11 can can MD cord-331771-fhy98qt4 172 12 be be VB cord-331771-fhy98qt4 172 13 given give VBN cord-331771-fhy98qt4 172 14 by by IN cord-331771-fhy98qt4 172 15 a a DT cord-331771-fhy98qt4 172 16 binomial binomial JJ cord-331771-fhy98qt4 172 17 distribution distribution NN cord-331771-fhy98qt4 172 18 Correspondingly correspondingly RB cord-331771-fhy98qt4 172 19 , , , cord-331771-fhy98qt4 172 20 the the DT cord-331771-fhy98qt4 172 21 discrete discrete JJ cord-331771-fhy98qt4 172 22 - - HYPH cord-331771-fhy98qt4 172 23 time time NN cord-331771-fhy98qt4 172 24 epidemic epidemic NN cord-331771-fhy98qt4 172 25 process process NN cord-331771-fhy98qt4 172 26 can can MD cord-331771-fhy98qt4 172 27 be be VB cord-331771-fhy98qt4 172 28 described describe VBN cord-331771-fhy98qt4 172 29 as as IN cord-331771-fhy98qt4 172 30 follows follow VBZ cord-331771-fhy98qt4 172 31 where where WRB cord-331771-fhy98qt4 172 32 the the DT cord-331771-fhy98qt4 172 33 discrete discrete JJ cord-331771-fhy98qt4 172 34 - - HYPH cord-331771-fhy98qt4 172 35 time time NN cord-331771-fhy98qt4 172 36 probabilities probability NNS cord-331771-fhy98qt4 172 37 of of IN cord-331771-fhy98qt4 172 38 state state NN cord-331771-fhy98qt4 172 39 transitions transition NNS cord-331771-fhy98qt4 172 40 are be VBP cord-331771-fhy98qt4 172 41 derived derive VBN cord-331771-fhy98qt4 172 42 as as IN cord-331771-fhy98qt4 172 43 Similar Similar NNP cord-331771-fhy98qt4 172 44 to to IN cord-331771-fhy98qt4 172 45 the the DT cord-331771-fhy98qt4 172 46 analysis analysis NN cord-331771-fhy98qt4 172 47 in in IN cord-331771-fhy98qt4 172 48 the the DT cord-331771-fhy98qt4 172 49 information information NN cord-331771-fhy98qt4 172 50 diffusion diffusion NN cord-331771-fhy98qt4 172 51 model model NN cord-331771-fhy98qt4 172 52 , , , cord-331771-fhy98qt4 172 53 we -PRON- PRP cord-331771-fhy98qt4 172 54 derive derive VBP cord-331771-fhy98qt4 172 55 the the DT cord-331771-fhy98qt4 172 56 continuous continuous JJ cord-331771-fhy98qt4 172 57 - - HYPH cord-331771-fhy98qt4 172 58 time time NN cord-331771-fhy98qt4 172 59 probabilities probability NNS cord-331771-fhy98qt4 172 60 of of IN cord-331771-fhy98qt4 172 61 state state NN cord-331771-fhy98qt4 172 62 transitions transition NNS cord-331771-fhy98qt4 172 63 based base VBN cord-331771-fhy98qt4 172 64 on on IN cord-331771-fhy98qt4 172 65 the the DT cord-331771-fhy98qt4 172 66 discrete discrete JJ cord-331771-fhy98qt4 172 67 - - HYPH cord-331771-fhy98qt4 172 68 time time NN cord-331771-fhy98qt4 172 69 probabilities probability NNS cord-331771-fhy98qt4 172 70 , , , cord-331771-fhy98qt4 172 71 as as IN cord-331771-fhy98qt4 172 72 detailed detail VBN cord-331771-fhy98qt4 172 73 in in IN cord-331771-fhy98qt4 172 74 the the DT cord-331771-fhy98qt4 172 75 Appendix Appendix NNP cord-331771-fhy98qt4 172 76 A-1 A-1 NNP cord-331771-fhy98qt4 172 77 . . . cord-331771-fhy98qt4 173 1 The the DT cord-331771-fhy98qt4 173 2 mean mean JJ cord-331771-fhy98qt4 173 3 - - HYPH cord-331771-fhy98qt4 173 4 field field NN cord-331771-fhy98qt4 173 5 dynamic dynamic JJ cord-331771-fhy98qt4 173 6 equations equation NNS cord-331771-fhy98qt4 173 7 of of IN cord-331771-fhy98qt4 173 8 epidemic epidemic NN cord-331771-fhy98qt4 173 9 spreading spreading NN cord-331771-fhy98qt4 173 10 are be VBP cord-331771-fhy98qt4 173 11 derived derive VBN cord-331771-fhy98qt4 173 12 as as IN cord-331771-fhy98qt4 173 13 below below RB cord-331771-fhy98qt4 173 14 , , , cord-331771-fhy98qt4 173 15 we -PRON- PRP cord-331771-fhy98qt4 173 16 calculate calculate VBP cord-331771-fhy98qt4 173 17 the the DT cord-331771-fhy98qt4 173 18 equilibrium equilibrium NN cord-331771-fhy98qt4 173 19 of of IN cord-331771-fhy98qt4 173 20 epidemic epidemic NN cord-331771-fhy98qt4 173 21 spreading spreading NN cord-331771-fhy98qt4 173 22 , , , cord-331771-fhy98qt4 173 23 based base VBN cord-331771-fhy98qt4 173 24 on on IN cord-331771-fhy98qt4 173 25 which which WDT cord-331771-fhy98qt4 173 26 we -PRON- PRP cord-331771-fhy98qt4 173 27 are be VBP cord-331771-fhy98qt4 173 28 able able JJ cord-331771-fhy98qt4 173 29 to to TO cord-331771-fhy98qt4 173 30 derive derive VB cord-331771-fhy98qt4 173 31 the the DT cord-331771-fhy98qt4 173 32 outbreak outbreak NN cord-331771-fhy98qt4 173 33 threshold threshold NN cord-331771-fhy98qt4 173 34 of of IN cord-331771-fhy98qt4 173 35 epidemic epidemic NN cord-331771-fhy98qt4 173 36 , , , cord-331771-fhy98qt4 173 37 as as IN cord-331771-fhy98qt4 173 38 detailed detail VBN cord-331771-fhy98qt4 173 39 in in IN cord-331771-fhy98qt4 173 40 the the DT cord-331771-fhy98qt4 173 41 Appendix Appendix NNP cord-331771-fhy98qt4 173 42 A-3 A-3 NNP cord-331771-fhy98qt4 173 43 . . . cord-331771-fhy98qt4 174 1 Specifically specifically RB cord-331771-fhy98qt4 174 2 , , , cord-331771-fhy98qt4 174 3 the the DT cord-331771-fhy98qt4 174 4 outbreak outbreak NN cord-331771-fhy98qt4 174 5 of of IN cord-331771-fhy98qt4 174 6 epidemic epidemic NN cord-331771-fhy98qt4 174 7 requires require VBZ cord-331771-fhy98qt4 174 8 the the DT cord-331771-fhy98qt4 174 9 following follow VBG cord-331771-fhy98qt4 174 10 inequality inequality NN cord-331771-fhy98qt4 174 11 to to TO cord-331771-fhy98qt4 174 12 be be VB cord-331771-fhy98qt4 174 13 satisfied satisfied JJ cord-331771-fhy98qt4 174 14 where where WRB cord-331771-fhy98qt4 174 15 the the DT cord-331771-fhy98qt4 174 16 equilibrium equilibrium NN cord-331771-fhy98qt4 174 17 density density NN cord-331771-fhy98qt4 174 18 of of IN cord-331771-fhy98qt4 174 19 the the DT cord-331771-fhy98qt4 174 20 knowledge knowledge NN cord-331771-fhy98qt4 174 21 - - HYPH cord-331771-fhy98qt4 174 22 believed believe VBN cord-331771-fhy98qt4 174 23 nodes node NNS cord-331771-fhy98qt4 174 24 A a DT cord-331771-fhy98qt4 174 25 2 2 CD cord-331771-fhy98qt4 174 26 ( ( -LRB- cord-331771-fhy98qt4 174 27 ∞ ∞ NNP cord-331771-fhy98qt4 174 28 ) ) -RRB- cord-331771-fhy98qt4 174 29 is be VBZ cord-331771-fhy98qt4 174 30 expressed express VBN cord-331771-fhy98qt4 174 31 in in IN cord-331771-fhy98qt4 174 32 the the DT cord-331771-fhy98qt4 174 33 Appendix Appendix NNP cord-331771-fhy98qt4 175 1 A-1 A-1 NNP cord-331771-fhy98qt4 175 2 . . . cord-331771-fhy98qt4 176 1 When when WRB cord-331771-fhy98qt4 176 2 A a DT cord-331771-fhy98qt4 176 3 2 2 CD cord-331771-fhy98qt4 176 4 ( ( -LRB- cord-331771-fhy98qt4 176 5 ∞ ∞ NNP cord-331771-fhy98qt4 176 6 ) ) -RRB- cord-331771-fhy98qt4 176 7 = = SYM cord-331771-fhy98qt4 176 8 0 0 NFP cord-331771-fhy98qt4 176 9 , , , cord-331771-fhy98qt4 176 10 the the DT cord-331771-fhy98qt4 176 11 epidemic epidemic NN cord-331771-fhy98qt4 176 12 threshold threshold NN cord-331771-fhy98qt4 176 13 degenerates degenerate VBZ cord-331771-fhy98qt4 176 14 to to IN cord-331771-fhy98qt4 176 15 β β XX cord-331771-fhy98qt4 177 1 1 1 LS cord-331771-fhy98qt4 177 2 = = SYM cord-331771-fhy98qt4 177 3 γ γ NN cord-331771-fhy98qt4 178 1 /k /k NNP cord-331771-fhy98qt4 178 2 . . . cord-331771-fhy98qt4 179 1 To to TO cord-331771-fhy98qt4 179 2 evaluate evaluate VB cord-331771-fhy98qt4 179 3 the the DT cord-331771-fhy98qt4 179 4 model model NN cord-331771-fhy98qt4 179 5 , , , cord-331771-fhy98qt4 179 6 we -PRON- PRP cord-331771-fhy98qt4 179 7 adopt adopt VBP cord-331771-fhy98qt4 179 8 three three CD cord-331771-fhy98qt4 179 9 different different JJ cord-331771-fhy98qt4 179 10 methods method NNS cord-331771-fhy98qt4 179 11 including include VBG cord-331771-fhy98qt4 179 12 two two CD cord-331771-fhy98qt4 179 13 numerical numerical JJ cord-331771-fhy98qt4 179 14 methods method NNS cord-331771-fhy98qt4 179 15 and and CC cord-331771-fhy98qt4 179 16 one one CD cord-331771-fhy98qt4 179 17 theoretical theoretical JJ cord-331771-fhy98qt4 179 18 method method NN cord-331771-fhy98qt4 179 19 . . . cord-331771-fhy98qt4 180 1 The the DT cord-331771-fhy98qt4 180 2 two two CD cord-331771-fhy98qt4 180 3 numerical numerical JJ cord-331771-fhy98qt4 180 4 methods method NNS cord-331771-fhy98qt4 180 5 are be VBP cord-331771-fhy98qt4 180 6 : : : cord-331771-fhy98qt4 180 7 prediction prediction NN cord-331771-fhy98qt4 180 8 based base VBN cord-331771-fhy98qt4 180 9 on on IN cord-331771-fhy98qt4 180 10 the the DT cord-331771-fhy98qt4 180 11 discrete discrete JJ cord-331771-fhy98qt4 180 12 - - HYPH cord-331771-fhy98qt4 180 13 time time NN cord-331771-fhy98qt4 180 14 state state NN cord-331771-fhy98qt4 180 15 transition transition NN cord-331771-fhy98qt4 180 16 equations equation NNS cord-331771-fhy98qt4 180 17 ( ( -LRB- cord-331771-fhy98qt4 180 18 abbreviated abbreviate VBN cord-331771-fhy98qt4 180 19 as as IN cord-331771-fhy98qt4 180 20 predicted predict VBN cord-331771-fhy98qt4 180 21 results result NNS cord-331771-fhy98qt4 180 22 ) ) -RRB- cord-331771-fhy98qt4 180 23 , , , cord-331771-fhy98qt4 180 24 and and CC cord-331771-fhy98qt4 180 25 agent agent NN cord-331771-fhy98qt4 180 26 - - HYPH cord-331771-fhy98qt4 180 27 based base VBN cord-331771-fhy98qt4 180 28 simulation simulation NN cord-331771-fhy98qt4 180 29 ( ( -LRB- cord-331771-fhy98qt4 180 30 abbreviated abbreviate VBN cord-331771-fhy98qt4 180 31 as as IN cord-331771-fhy98qt4 180 32 simulated simulated JJ cord-331771-fhy98qt4 180 33 results result NNS cord-331771-fhy98qt4 180 34 ) ) -RRB- cord-331771-fhy98qt4 180 35 . . . cord-331771-fhy98qt4 181 1 The the DT cord-331771-fhy98qt4 181 2 theoretical theoretical JJ cord-331771-fhy98qt4 181 3 method method NN cord-331771-fhy98qt4 181 4 is be VBZ cord-331771-fhy98qt4 181 5 the the DT cord-331771-fhy98qt4 181 6 mean mean JJ cord-331771-fhy98qt4 181 7 - - HYPH cord-331771-fhy98qt4 181 8 field field NN cord-331771-fhy98qt4 181 9 analysis analysis NN cord-331771-fhy98qt4 181 10 based base VBN cord-331771-fhy98qt4 181 11 on on IN cord-331771-fhy98qt4 181 12 the the DT cord-331771-fhy98qt4 181 13 continuous continuous JJ cord-331771-fhy98qt4 181 14 - - HYPH cord-331771-fhy98qt4 181 15 time time NN cord-331771-fhy98qt4 181 16 state state NN cord-331771-fhy98qt4 181 17 transition transition NN cord-331771-fhy98qt4 181 18 equations equation NNS cord-331771-fhy98qt4 181 19 ( ( -LRB- cord-331771-fhy98qt4 181 20 abbreviated abbreviate VBN cord-331771-fhy98qt4 181 21 as as IN cord-331771-fhy98qt4 181 22 mean mean JJ cord-331771-fhy98qt4 181 23 - - HYPH cord-331771-fhy98qt4 181 24 field field NN cord-331771-fhy98qt4 181 25 results result NNS cord-331771-fhy98qt4 181 26 ) ) -RRB- cord-331771-fhy98qt4 181 27 . . . cord-331771-fhy98qt4 182 1 The the DT cord-331771-fhy98qt4 182 2 predicted predict VBN cord-331771-fhy98qt4 182 3 results result NNS cord-331771-fhy98qt4 182 4 are be VBP cord-331771-fhy98qt4 182 5 first first RB cord-331771-fhy98qt4 182 6 compared compare VBN cord-331771-fhy98qt4 182 7 with with IN cord-331771-fhy98qt4 182 8 the the DT cord-331771-fhy98qt4 182 9 simulated simulated JJ cord-331771-fhy98qt4 182 10 results result NNS cord-331771-fhy98qt4 182 11 for for IN cord-331771-fhy98qt4 182 12 verification verification NN cord-331771-fhy98qt4 182 13 . . . cord-331771-fhy98qt4 183 1 And and CC cord-331771-fhy98qt4 183 2 the the DT cord-331771-fhy98qt4 183 3 mean mean JJ cord-331771-fhy98qt4 183 4 - - HYPH cord-331771-fhy98qt4 183 5 field field NN cord-331771-fhy98qt4 183 6 outbreak outbreak NN cord-331771-fhy98qt4 183 7 thresholds threshold NNS cord-331771-fhy98qt4 183 8 are be VBP cord-331771-fhy98qt4 183 9 then then RB cord-331771-fhy98qt4 183 10 presented present VBN cord-331771-fhy98qt4 183 11 with with IN cord-331771-fhy98qt4 183 12 the the DT cord-331771-fhy98qt4 183 13 predicted predict VBN cord-331771-fhy98qt4 183 14 results result NNS cord-331771-fhy98qt4 183 15 to to TO cord-331771-fhy98qt4 183 16 reveal reveal VB cord-331771-fhy98qt4 183 17 more more RBR cord-331771-fhy98qt4 183 18 interesting interesting JJ cord-331771-fhy98qt4 183 19 findings finding NNS cord-331771-fhy98qt4 183 20 . . . cord-331771-fhy98qt4 184 1 To to TO cord-331771-fhy98qt4 184 2 get get VB cord-331771-fhy98qt4 184 3 the the DT cord-331771-fhy98qt4 184 4 predicted predict VBN cord-331771-fhy98qt4 184 5 results result NNS cord-331771-fhy98qt4 184 6 , , , cord-331771-fhy98qt4 184 7 we -PRON- PRP cord-331771-fhy98qt4 184 8 adopt adopt VBP cord-331771-fhy98qt4 184 9 MATLAB MATLAB NNP cord-331771-fhy98qt4 184 10 to to TO cord-331771-fhy98qt4 184 11 iterate iterate VB cord-331771-fhy98qt4 184 12 the the DT cord-331771-fhy98qt4 184 13 discrete discrete JJ cord-331771-fhy98qt4 184 14 - - HYPH cord-331771-fhy98qt4 184 15 time time NN cord-331771-fhy98qt4 184 16 state state NN cord-331771-fhy98qt4 184 17 transition transition NN cord-331771-fhy98qt4 184 18 equations equation NNS cord-331771-fhy98qt4 184 19 of of IN cord-331771-fhy98qt4 184 20 information information NN cord-331771-fhy98qt4 184 21 diffusion diffusion NN cord-331771-fhy98qt4 184 22 and and CC cord-331771-fhy98qt4 184 23 epidemic epidemic NN cord-331771-fhy98qt4 184 24 spreading spreading NN cord-331771-fhy98qt4 184 25 . . . cord-331771-fhy98qt4 185 1 For for IN cord-331771-fhy98qt4 185 2 the the DT cord-331771-fhy98qt4 185 3 simulated simulated JJ cord-331771-fhy98qt4 185 4 results result NNS cord-331771-fhy98qt4 185 5 , , , cord-331771-fhy98qt4 185 6 we -PRON- PRP cord-331771-fhy98qt4 185 7 adopt adopt VBP cord-331771-fhy98qt4 185 8 REPAST repast NN cord-331771-fhy98qt4 185 9 to to TO cord-331771-fhy98qt4 185 10 perform perform VB cord-331771-fhy98qt4 185 11 a a DT cord-331771-fhy98qt4 185 12 series series NN cord-331771-fhy98qt4 185 13 of of IN cord-331771-fhy98qt4 185 14 agent agent NN cord-331771-fhy98qt4 185 15 - - HYPH cord-331771-fhy98qt4 185 16 based base VBN cord-331771-fhy98qt4 185 17 simulations simulation NNS cord-331771-fhy98qt4 185 18 . . . cord-331771-fhy98qt4 186 1 Initially initially RB cord-331771-fhy98qt4 186 2 , , , cord-331771-fhy98qt4 186 3 rumor rumor NN cord-331771-fhy98qt4 186 4 and and CC cord-331771-fhy98qt4 186 5 knowledge knowledge NN cord-331771-fhy98qt4 186 6 are be VBP cord-331771-fhy98qt4 186 7 believed believe VBN cord-331771-fhy98qt4 186 8 by by IN cord-331771-fhy98qt4 186 9 only only RB cord-331771-fhy98qt4 186 10 the the DT cord-331771-fhy98qt4 186 11 minority minority NN cord-331771-fhy98qt4 186 12 . . . cord-331771-fhy98qt4 187 1 But but CC cord-331771-fhy98qt4 187 2 rumor rumor NN cord-331771-fhy98qt4 187 3 has have VBZ cord-331771-fhy98qt4 187 4 a a DT cord-331771-fhy98qt4 187 5 much much RB cord-331771-fhy98qt4 187 6 larger large JJR cord-331771-fhy98qt4 187 7 " " `` cord-331771-fhy98qt4 187 8 infectivity infectivity NN cord-331771-fhy98qt4 187 9 " " '' cord-331771-fhy98qt4 187 10 than than IN cord-331771-fhy98qt4 187 11 knowledge knowledge NN cord-331771-fhy98qt4 187 12 and and CC cord-331771-fhy98qt4 187 13 diffuses diffuse VBZ cord-331771-fhy98qt4 187 14 much much RB cord-331771-fhy98qt4 187 15 faster fast RBR cord-331771-fhy98qt4 187 16 . . . cord-331771-fhy98qt4 188 1 The the DT cord-331771-fhy98qt4 188 2 topology topology NN cord-331771-fhy98qt4 188 3 of of IN cord-331771-fhy98qt4 188 4 the the DT cord-331771-fhy98qt4 188 5 communication communication NN cord-331771-fhy98qt4 188 6 layer layer NN cord-331771-fhy98qt4 188 7 and and CC cord-331771-fhy98qt4 188 8 the the DT cord-331771-fhy98qt4 188 9 contact contact NN cord-331771-fhy98qt4 188 10 layer layer NN cord-331771-fhy98qt4 188 11 are be VBP cord-331771-fhy98qt4 188 12 set set VBN cord-331771-fhy98qt4 188 13 to to TO cord-331771-fhy98qt4 188 14 be be VB cord-331771-fhy98qt4 188 15 random random JJ cord-331771-fhy98qt4 188 16 network network NN cord-331771-fhy98qt4 188 17 , , , cord-331771-fhy98qt4 188 18 with with IN cord-331771-fhy98qt4 188 19 the the DT cord-331771-fhy98qt4 188 20 average average JJ cord-331771-fhy98qt4 188 21 degree degree NN cord-331771-fhy98qt4 188 22 defaulted default VBD cord-331771-fhy98qt4 188 23 as as IN cord-331771-fhy98qt4 188 24 k k NNP cord-331771-fhy98qt4 188 25 = = SYM cord-331771-fhy98qt4 188 26 8 8 CD cord-331771-fhy98qt4 188 27 and and CC cord-331771-fhy98qt4 188 28 k k NN cord-331771-fhy98qt4 188 29 = = SYM cord-331771-fhy98qt4 188 30 6 6 CD cord-331771-fhy98qt4 188 31 , , , cord-331771-fhy98qt4 188 32 respectively respectively RB cord-331771-fhy98qt4 188 33 . . . cord-331771-fhy98qt4 189 1 Some some DT cord-331771-fhy98qt4 189 2 other other JJ cord-331771-fhy98qt4 189 3 parameters parameter NNS cord-331771-fhy98qt4 189 4 are be VBP cord-331771-fhy98qt4 189 5 defaulted default VBN cord-331771-fhy98qt4 189 6 as as IN cord-331771-fhy98qt4 189 7 : : : cord-331771-fhy98qt4 189 8 Compared compare VBN cord-331771-fhy98qt4 189 9 with with IN cord-331771-fhy98qt4 189 10 a a DT cord-331771-fhy98qt4 189 11 neutral neutral JJ cord-331771-fhy98qt4 189 12 unknown unknown JJ cord-331771-fhy98qt4 189 13 node node NN cord-331771-fhy98qt4 189 14 , , , cord-331771-fhy98qt4 189 15 a a DT cord-331771-fhy98qt4 189 16 rumor rumor NN cord-331771-fhy98qt4 189 17 - - HYPH cord-331771-fhy98qt4 189 18 believed believe VBN cord-331771-fhy98qt4 189 19 node node NN cord-331771-fhy98qt4 189 20 is be VBZ cord-331771-fhy98qt4 189 21 often often RB cord-331771-fhy98qt4 189 22 less less RBR cord-331771-fhy98qt4 189 23 susceptible susceptible JJ cord-331771-fhy98qt4 189 24 to to IN cord-331771-fhy98qt4 189 25 knowledge knowledge NN cord-331771-fhy98qt4 189 26 . . . cord-331771-fhy98qt4 190 1 The the DT cord-331771-fhy98qt4 190 2 concept concept NN cord-331771-fhy98qt4 190 3 of of IN cord-331771-fhy98qt4 190 4 a a DT cord-331771-fhy98qt4 190 5 popular popular JJ cord-331771-fhy98qt4 190 6 decision decision NN cord-331771-fhy98qt4 190 7 model model NN cord-331771-fhy98qt4 190 8 , , , cord-331771-fhy98qt4 190 9 that that RB cord-331771-fhy98qt4 190 10 is be VBZ cord-331771-fhy98qt4 190 11 belief belief JJ cord-331771-fhy98qt4 190 12 decision decision NN cord-331771-fhy98qt4 190 13 model model NN cord-331771-fhy98qt4 190 14 [ [ -LRB- cord-331771-fhy98qt4 190 15 59 59 CD cord-331771-fhy98qt4 190 16 ] ] -RRB- cord-331771-fhy98qt4 190 17 , , , cord-331771-fhy98qt4 190 18 can can MD cord-331771-fhy98qt4 190 19 support support VB cord-331771-fhy98qt4 190 20 this this DT cord-331771-fhy98qt4 190 21 conjecture conjecture NN cord-331771-fhy98qt4 190 22 . . . cord-331771-fhy98qt4 191 1 According accord VBG cord-331771-fhy98qt4 191 2 to to IN cord-331771-fhy98qt4 191 3 the the DT cord-331771-fhy98qt4 191 4 belief belief NN cord-331771-fhy98qt4 191 5 decision decision NN cord-331771-fhy98qt4 191 6 model model NN cord-331771-fhy98qt4 191 7 , , , cord-331771-fhy98qt4 191 8 each each DT cord-331771-fhy98qt4 191 9 node node NN cord-331771-fhy98qt4 191 10 beliefs belief NNS cord-331771-fhy98qt4 191 11 on on IN cord-331771-fhy98qt4 191 12 three three CD cord-331771-fhy98qt4 191 13 options option NNS cord-331771-fhy98qt4 191 14 : : : cord-331771-fhy98qt4 191 15 rumor rumor NN cord-331771-fhy98qt4 191 16 - - HYPH cord-331771-fhy98qt4 191 17 believed believe VBN cord-331771-fhy98qt4 191 18 , , , cord-331771-fhy98qt4 191 19 knowledge knowledge NN cord-331771-fhy98qt4 191 20 - - HYPH cord-331771-fhy98qt4 191 21 believed believe VBN cord-331771-fhy98qt4 191 22 , , , cord-331771-fhy98qt4 191 23 and and CC cord-331771-fhy98qt4 191 24 neutral neutral JJ cord-331771-fhy98qt4 191 25 ( ( -LRB- cord-331771-fhy98qt4 191 26 or or CC cord-331771-fhy98qt4 191 27 hesitating hesitate VBG cord-331771-fhy98qt4 191 28 ) ) -RRB- cord-331771-fhy98qt4 191 29 . . . cord-331771-fhy98qt4 192 1 When when WRB cord-331771-fhy98qt4 192 2 a a DT cord-331771-fhy98qt4 192 3 neutral neutral JJ cord-331771-fhy98qt4 192 4 node node NN cord-331771-fhy98qt4 192 5 receives receive VBZ cord-331771-fhy98qt4 192 6 knowledge knowledge NN cord-331771-fhy98qt4 192 7 , , , cord-331771-fhy98qt4 192 8 her -PRON- PRP$ cord-331771-fhy98qt4 192 9 / / SYM cord-331771-fhy98qt4 192 10 his -PRON- PRP$ cord-331771-fhy98qt4 192 11 belief belief NN cord-331771-fhy98qt4 192 12 on on IN cord-331771-fhy98qt4 192 13 knowledge knowledge NN cord-331771-fhy98qt4 192 14 will will MD cord-331771-fhy98qt4 192 15 be be VB cord-331771-fhy98qt4 192 16 quickly quickly RB cord-331771-fhy98qt4 192 17 increased increase VBN cord-331771-fhy98qt4 192 18 . . . cord-331771-fhy98qt4 193 1 While while IN cord-331771-fhy98qt4 193 2 a a DT cord-331771-fhy98qt4 193 3 rumor rumor NN cord-331771-fhy98qt4 193 4 - - HYPH cord-331771-fhy98qt4 193 5 believed believe VBN cord-331771-fhy98qt4 193 6 node node NN cord-331771-fhy98qt4 193 7 receives receive VBZ cord-331771-fhy98qt4 193 8 knowledge knowledge NN cord-331771-fhy98qt4 193 9 , , , cord-331771-fhy98qt4 193 10 her -PRON- PRP$ cord-331771-fhy98qt4 193 11 / / SYM cord-331771-fhy98qt4 193 12 his -PRON- PRP$ cord-331771-fhy98qt4 193 13 belief belief NN cord-331771-fhy98qt4 193 14 is be VBZ cord-331771-fhy98qt4 193 15 first first RB cord-331771-fhy98qt4 193 16 transferred transfer VBN cord-331771-fhy98qt4 193 17 from from IN cord-331771-fhy98qt4 193 18 the the DT cord-331771-fhy98qt4 193 19 rumor rumor NN cord-331771-fhy98qt4 193 20 - - HYPH cord-331771-fhy98qt4 193 21 believed believe VBN cord-331771-fhy98qt4 193 22 option option NN cord-331771-fhy98qt4 193 23 to to IN cord-331771-fhy98qt4 193 24 the the DT cord-331771-fhy98qt4 193 25 neutral neutral JJ cord-331771-fhy98qt4 193 26 option option NN cord-331771-fhy98qt4 193 27 , , , cord-331771-fhy98qt4 193 28 and and CC cord-331771-fhy98qt4 193 29 then then RB cord-331771-fhy98qt4 193 30 transferred transfer VBN cord-331771-fhy98qt4 193 31 from from IN cord-331771-fhy98qt4 193 32 the the DT cord-331771-fhy98qt4 193 33 neutral neutral JJ cord-331771-fhy98qt4 193 34 option option NN cord-331771-fhy98qt4 193 35 to to IN cord-331771-fhy98qt4 193 36 the the DT cord-331771-fhy98qt4 193 37 knowledge knowledge NN cord-331771-fhy98qt4 193 38 - - HYPH cord-331771-fhy98qt4 193 39 believed believe VBN cord-331771-fhy98qt4 193 40 option option NN cord-331771-fhy98qt4 193 41 . . . cord-331771-fhy98qt4 194 1 Apparently apparently RB cord-331771-fhy98qt4 194 2 , , , cord-331771-fhy98qt4 194 3 the the DT cord-331771-fhy98qt4 194 4 knowledge knowledge NN cord-331771-fhy98qt4 194 5 - - HYPH cord-331771-fhy98qt4 194 6 believed believe VBN cord-331771-fhy98qt4 194 7 belief belief NN cord-331771-fhy98qt4 194 8 of of IN cord-331771-fhy98qt4 194 9 the the DT cord-331771-fhy98qt4 194 10 rumor rumor NN cord-331771-fhy98qt4 194 11 - - HYPH cord-331771-fhy98qt4 194 12 believed believe VBN cord-331771-fhy98qt4 194 13 node node NN cord-331771-fhy98qt4 194 14 is be VBZ cord-331771-fhy98qt4 194 15 less less RBR cord-331771-fhy98qt4 194 16 increased increase VBN cord-331771-fhy98qt4 194 17 due due IN cord-331771-fhy98qt4 194 18 to to IN cord-331771-fhy98qt4 194 19 information information NN cord-331771-fhy98qt4 194 20 fading fade VBG cord-331771-fhy98qt4 194 21 during during IN cord-331771-fhy98qt4 194 22 belief belief NN cord-331771-fhy98qt4 194 23 transfer transfer NN cord-331771-fhy98qt4 194 24 . . . cord-331771-fhy98qt4 195 1 Thus thus RB cord-331771-fhy98qt4 195 2 , , , cord-331771-fhy98qt4 195 3 the the DT cord-331771-fhy98qt4 195 4 value value NN cord-331771-fhy98qt4 195 5 of of IN cord-331771-fhy98qt4 195 6 α α NN cord-331771-fhy98qt4 195 7 3 3 CD cord-331771-fhy98qt4 195 8 is be VBZ cord-331771-fhy98qt4 195 9 lower low JJR cord-331771-fhy98qt4 195 10 than than IN cord-331771-fhy98qt4 195 11 the the DT cord-331771-fhy98qt4 195 12 value value NN cord-331771-fhy98qt4 195 13 of of IN cord-331771-fhy98qt4 195 14 α α NN cord-331771-fhy98qt4 195 15 2 2 CD cord-331771-fhy98qt4 195 16 . . . cord-331771-fhy98qt4 196 1 When when WRB cord-331771-fhy98qt4 196 2 α α NN cord-331771-fhy98qt4 196 3 3 3 CD cord-331771-fhy98qt4 196 4 = = SYM cord-331771-fhy98qt4 196 5 0 0 CD cord-331771-fhy98qt4 196 6 , , , cord-331771-fhy98qt4 196 7 for for IN cord-331771-fhy98qt4 196 8 example example NN cord-331771-fhy98qt4 196 9 , , , cord-331771-fhy98qt4 196 10 the the DT cord-331771-fhy98qt4 196 11 two two CD cord-331771-fhy98qt4 196 12 information information NN cord-331771-fhy98qt4 196 13 diffusion diffusion NN cord-331771-fhy98qt4 196 14 dynamics dynamic NNS cord-331771-fhy98qt4 196 15 are be VBP cord-331771-fhy98qt4 196 16 completely completely RB cord-331771-fhy98qt4 196 17 separated separate VBN cord-331771-fhy98qt4 196 18 . . . cord-331771-fhy98qt4 197 1 While while IN cord-331771-fhy98qt4 197 2 α α NN cord-331771-fhy98qt4 197 3 3 3 CD cord-331771-fhy98qt4 197 4 = = SYM cord-331771-fhy98qt4 197 5 α α NN cord-331771-fhy98qt4 197 6 2 2 CD cord-331771-fhy98qt4 197 7 , , , cord-331771-fhy98qt4 197 8 the the DT cord-331771-fhy98qt4 197 9 rumor rumor NN cord-331771-fhy98qt4 197 10 - - HYPH cord-331771-fhy98qt4 197 11 believed believe VBN cord-331771-fhy98qt4 197 12 nodes node NNS cord-331771-fhy98qt4 197 13 have have VBP cord-331771-fhy98qt4 197 14 no no DT cord-331771-fhy98qt4 197 15 reluctance reluctance NN cord-331771-fhy98qt4 197 16 against against IN cord-331771-fhy98qt4 197 17 knowledge knowledge NN cord-331771-fhy98qt4 197 18 , , , cord-331771-fhy98qt4 197 19 and and CC cord-331771-fhy98qt4 197 20 rumor rumor NN cord-331771-fhy98qt4 197 21 is be VBZ cord-331771-fhy98qt4 197 22 unable unable JJ cord-331771-fhy98qt4 197 23 to to TO cord-331771-fhy98qt4 197 24 affect affect VB cord-331771-fhy98qt4 197 25 the the DT cord-331771-fhy98qt4 197 26 diffusion diffusion NN cord-331771-fhy98qt4 197 27 of of IN cord-331771-fhy98qt4 197 28 knowledge knowledge NN cord-331771-fhy98qt4 197 29 . . . cord-331771-fhy98qt4 198 1 Therefore therefore RB cord-331771-fhy98qt4 198 2 , , , cord-331771-fhy98qt4 198 3 the the DT cord-331771-fhy98qt4 198 4 value value NN cord-331771-fhy98qt4 198 5 of of IN cord-331771-fhy98qt4 198 6 α α NN cord-331771-fhy98qt4 198 7 3 3 CD cord-331771-fhy98qt4 198 8 is be VBZ cord-331771-fhy98qt4 198 9 vital vital JJ cord-331771-fhy98qt4 198 10 for for IN cord-331771-fhy98qt4 198 11 the the DT cord-331771-fhy98qt4 198 12 competition competition NN cord-331771-fhy98qt4 198 13 between between IN cord-331771-fhy98qt4 198 14 rumor rumor NN cord-331771-fhy98qt4 198 15 and and CC cord-331771-fhy98qt4 198 16 knowledge knowledge NN cord-331771-fhy98qt4 198 17 , , , cord-331771-fhy98qt4 198 18 and and CC cord-331771-fhy98qt4 198 19 we -PRON- PRP cord-331771-fhy98qt4 198 20 select select VBP cord-331771-fhy98qt4 198 21 it -PRON- PRP cord-331771-fhy98qt4 198 22 as as IN cord-331771-fhy98qt4 198 23 a a DT cord-331771-fhy98qt4 198 24 key key JJ cord-331771-fhy98qt4 198 25 parameter parameter NN cord-331771-fhy98qt4 198 26 for for IN cord-331771-fhy98qt4 198 27 analysis analysis NN cord-331771-fhy98qt4 198 28 . . . cord-331771-fhy98qt4 199 1 As as IN cord-331771-fhy98qt4 199 2 shown show VBN cord-331771-fhy98qt4 199 3 in in IN cord-331771-fhy98qt4 199 4 Fig Fig NNP cord-331771-fhy98qt4 199 5 . . . cord-331771-fhy98qt4 200 1 4 4 LS cord-331771-fhy98qt4 200 2 , , , cord-331771-fhy98qt4 200 3 the the DT cord-331771-fhy98qt4 200 4 equilibrium equilibrium NN cord-331771-fhy98qt4 200 5 densities density NNS cord-331771-fhy98qt4 200 6 of of IN cord-331771-fhy98qt4 200 7 the the DT cord-331771-fhy98qt4 200 8 rumor rumor NN cord-331771-fhy98qt4 200 9 - - HYPH cord-331771-fhy98qt4 200 10 believed believe VBN cord-331771-fhy98qt4 200 11 nodes node NNS cord-331771-fhy98qt4 200 12 A a DT cord-331771-fhy98qt4 200 13 1 1 CD cord-331771-fhy98qt4 200 14 ( ( -LRB- cord-331771-fhy98qt4 200 15 ∞ ∞ NNP cord-331771-fhy98qt4 200 16 ) ) -RRB- cord-331771-fhy98qt4 200 17 and and CC cord-331771-fhy98qt4 200 18 the the DT cord-331771-fhy98qt4 200 19 knowledge knowledge NN cord-331771-fhy98qt4 200 20 - - HYPH cord-331771-fhy98qt4 200 21 believed believe VBN cord-331771-fhy98qt4 200 22 nodes node NNS cord-331771-fhy98qt4 200 23 A a DT cord-331771-fhy98qt4 200 24 2 2 CD cord-331771-fhy98qt4 200 25 ( ( -LRB- cord-331771-fhy98qt4 200 26 ∞ ∞ NNP cord-331771-fhy98qt4 200 27 ) ) -RRB- cord-331771-fhy98qt4 200 28 over over IN cord-331771-fhy98qt4 200 29 α α NNP cord-331771-fhy98qt4 200 30 3 3 CD cord-331771-fhy98qt4 200 31 are be VBP cord-331771-fhy98qt4 200 32 well well RB cord-331771-fhy98qt4 200 33 presented present VBN cord-331771-fhy98qt4 200 34 . . . cord-331771-fhy98qt4 201 1 Increasing increase VBG cord-331771-fhy98qt4 201 2 α α NN cord-331771-fhy98qt4 201 3 3 3 CD cord-331771-fhy98qt4 201 4 decreases decrease VBZ cord-331771-fhy98qt4 201 5 the the DT cord-331771-fhy98qt4 201 6 density density NN cord-331771-fhy98qt4 201 7 of of IN cord-331771-fhy98qt4 201 8 the the DT cord-331771-fhy98qt4 201 9 rumor rumor NN cord-331771-fhy98qt4 201 10 - - HYPH cord-331771-fhy98qt4 201 11 believed believe VBN cord-331771-fhy98qt4 201 12 nodes node NNS cord-331771-fhy98qt4 201 13 and and CC cord-331771-fhy98qt4 201 14 increases increase VBZ cord-331771-fhy98qt4 201 15 the the DT cord-331771-fhy98qt4 201 16 density density NN cord-331771-fhy98qt4 201 17 of of IN cord-331771-fhy98qt4 201 18 the the DT cord-331771-fhy98qt4 201 19 knowledge knowledge NN cord-331771-fhy98qt4 201 20 - - HYPH cord-331771-fhy98qt4 201 21 believed believe VBN cord-331771-fhy98qt4 201 22 nodes node NNS cord-331771-fhy98qt4 201 23 . . . cord-331771-fhy98qt4 202 1 More more RBR cord-331771-fhy98qt4 202 2 importantly importantly RB cord-331771-fhy98qt4 202 3 , , , cord-331771-fhy98qt4 202 4 the the DT cord-331771-fhy98qt4 202 5 simulated simulated JJ cord-331771-fhy98qt4 202 6 results result NNS cord-331771-fhy98qt4 202 7 and and CC cord-331771-fhy98qt4 202 8 the the DT cord-331771-fhy98qt4 202 9 predicted predict VBN cord-331771-fhy98qt4 202 10 results result NNS cord-331771-fhy98qt4 202 11 are be VBP cord-331771-fhy98qt4 202 12 consistent consistent JJ cord-331771-fhy98qt4 202 13 with with IN cord-331771-fhy98qt4 202 14 each each DT cord-331771-fhy98qt4 202 15 other other JJ cord-331771-fhy98qt4 202 16 . . . cord-331771-fhy98qt4 203 1 Besides besides RB cord-331771-fhy98qt4 203 2 , , , cord-331771-fhy98qt4 203 3 from from IN cord-331771-fhy98qt4 203 4 the the DT cord-331771-fhy98qt4 203 5 results result NNS cord-331771-fhy98qt4 203 6 , , , cord-331771-fhy98qt4 203 7 we -PRON- PRP cord-331771-fhy98qt4 203 8 infer infer VBP cord-331771-fhy98qt4 203 9 that that IN cord-331771-fhy98qt4 203 10 both both CC cord-331771-fhy98qt4 203 11 rumor rumor NN cord-331771-fhy98qt4 203 12 and and CC cord-331771-fhy98qt4 203 13 knowledge knowledge NN cord-331771-fhy98qt4 203 14 may may MD cord-331771-fhy98qt4 203 15 have have VB cord-331771-fhy98qt4 203 16 outbreak outbreak NN cord-331771-fhy98qt4 203 17 thresholds threshold NNS cord-331771-fhy98qt4 203 18 . . . cord-331771-fhy98qt4 204 1 Specifically specifically RB cord-331771-fhy98qt4 204 2 , , , cord-331771-fhy98qt4 204 3 the the DT cord-331771-fhy98qt4 204 4 outbreak outbreak NN cord-331771-fhy98qt4 204 5 of of IN cord-331771-fhy98qt4 204 6 rumor rumor NN cord-331771-fhy98qt4 204 7 may may MD cord-331771-fhy98qt4 204 8 require require VB cord-331771-fhy98qt4 204 9 α α NN cord-331771-fhy98qt4 204 10 3 3 CD cord-331771-fhy98qt4 204 11 to to TO cord-331771-fhy98qt4 204 12 be be VB cord-331771-fhy98qt4 204 13 smaller small JJR cord-331771-fhy98qt4 204 14 than than IN cord-331771-fhy98qt4 204 15 0.1 0.1 CD cord-331771-fhy98qt4 204 16 , , , cord-331771-fhy98qt4 204 17 while while IN cord-331771-fhy98qt4 204 18 the the DT cord-331771-fhy98qt4 204 19 outbreak outbreak NN cord-331771-fhy98qt4 204 20 of of IN cord-331771-fhy98qt4 204 21 knowledge knowledge NN cord-331771-fhy98qt4 204 22 may may MD cord-331771-fhy98qt4 204 23 require require VB cord-331771-fhy98qt4 204 24 α α NN cord-331771-fhy98qt4 204 25 3 3 CD cord-331771-fhy98qt4 204 26 to to TO cord-331771-fhy98qt4 204 27 be be VB cord-331771-fhy98qt4 204 28 larger large JJR cord-331771-fhy98qt4 204 29 than than IN cord-331771-fhy98qt4 204 30 0.01 0.01 CD cord-331771-fhy98qt4 204 31 . . . cord-331771-fhy98qt4 205 1 That that DT cord-331771-fhy98qt4 205 2 is be VBZ cord-331771-fhy98qt4 205 3 to to TO cord-331771-fhy98qt4 205 4 say say VB cord-331771-fhy98qt4 205 5 , , , cord-331771-fhy98qt4 205 6 when when WRB cord-331771-fhy98qt4 205 7 α α NN cord-331771-fhy98qt4 205 8 3 3 CD cord-331771-fhy98qt4 205 9 is be VBZ cord-331771-fhy98qt4 205 10 larger large JJR cord-331771-fhy98qt4 205 11 than than IN cord-331771-fhy98qt4 205 12 0.01 0.01 CD cord-331771-fhy98qt4 205 13 and and CC cord-331771-fhy98qt4 205 14 smaller small JJR cord-331771-fhy98qt4 205 15 than than IN cord-331771-fhy98qt4 205 16 0.1 0.1 CD cord-331771-fhy98qt4 205 17 , , , cord-331771-fhy98qt4 205 18 rumor rumor NN cord-331771-fhy98qt4 205 19 and and CC cord-331771-fhy98qt4 205 20 knowledge knowledge NN cord-331771-fhy98qt4 205 21 will will MD cord-331771-fhy98qt4 205 22 diffuse diffuse VB cord-331771-fhy98qt4 205 23 simultaneously simultaneously RB cord-331771-fhy98qt4 205 24 . . . cord-331771-fhy98qt4 206 1 we -PRON- PRP cord-331771-fhy98qt4 206 2 select select VBP cord-331771-fhy98qt4 206 3 the the DT cord-331771-fhy98qt4 206 4 infectivity infectivity NN cord-331771-fhy98qt4 206 5 of of IN cord-331771-fhy98qt4 206 6 epidemic epidemic NN cord-331771-fhy98qt4 206 7 ( ( -LRB- cord-331771-fhy98qt4 206 8 β β NN cord-331771-fhy98qt4 206 9 1 1 CD cord-331771-fhy98qt4 206 10 ) ) -RRB- cord-331771-fhy98qt4 206 11 to to TO cord-331771-fhy98qt4 206 12 compare compare VB cord-331771-fhy98qt4 206 13 the the DT cord-331771-fhy98qt4 206 14 predicted predict VBN cord-331771-fhy98qt4 206 15 results result NNS cord-331771-fhy98qt4 206 16 and and CC cord-331771-fhy98qt4 206 17 the the DT cord-331771-fhy98qt4 206 18 simulated simulated JJ cord-331771-fhy98qt4 206 19 results result NNS cord-331771-fhy98qt4 206 20 of of IN cord-331771-fhy98qt4 206 21 epidemic epidemic NN cord-331771-fhy98qt4 206 22 prevalence prevalence NN cord-331771-fhy98qt4 206 23 . . . cord-331771-fhy98qt4 207 1 As as IN cord-331771-fhy98qt4 207 2 shown show VBN cord-331771-fhy98qt4 207 3 in in IN cord-331771-fhy98qt4 207 4 Fig Fig NNP cord-331771-fhy98qt4 207 5 . . . cord-331771-fhy98qt4 208 1 5 5 LS cord-331771-fhy98qt4 208 2 , , , cord-331771-fhy98qt4 208 3 the the DT cord-331771-fhy98qt4 208 4 equilibrium equilibrium NN cord-331771-fhy98qt4 208 5 density density NN cord-331771-fhy98qt4 208 6 of of IN cord-331771-fhy98qt4 208 7 the the DT cord-331771-fhy98qt4 208 8 ( ( -LRB- cord-331771-fhy98qt4 208 9 undetected undetected JJ cord-331771-fhy98qt4 208 10 and and CC cord-331771-fhy98qt4 208 11 detected detect VBN cord-331771-fhy98qt4 208 12 ) ) -RRB- cord-331771-fhy98qt4 208 13 infected infect VBN cord-331771-fhy98qt4 208 14 nodes node NNS cord-331771-fhy98qt4 208 15 over over IN cord-331771-fhy98qt4 208 16 β β NN cord-331771-fhy98qt4 208 17 1 1 CD cord-331771-fhy98qt4 208 18 is be VBZ cord-331771-fhy98qt4 208 19 well well RB cord-331771-fhy98qt4 208 20 presented present VBN cord-331771-fhy98qt4 208 21 . . . cord-331771-fhy98qt4 209 1 Increasing increase VBG cord-331771-fhy98qt4 209 2 β β NN cord-331771-fhy98qt4 209 3 1 1 CD cord-331771-fhy98qt4 209 4 will will MD cord-331771-fhy98qt4 209 5 undoubtedly undoubtedly RB cord-331771-fhy98qt4 209 6 increase increase VB cord-331771-fhy98qt4 209 7 the the DT cord-331771-fhy98qt4 209 8 density density NN cord-331771-fhy98qt4 209 9 of of IN cord-331771-fhy98qt4 209 10 the the DT cord-331771-fhy98qt4 209 11 infected infected JJ cord-331771-fhy98qt4 209 12 nodes node NNS cord-331771-fhy98qt4 209 13 . . . cord-331771-fhy98qt4 210 1 Moreover moreover RB cord-331771-fhy98qt4 210 2 , , , cord-331771-fhy98qt4 210 3 the the DT cord-331771-fhy98qt4 210 4 simulated simulated JJ cord-331771-fhy98qt4 210 5 results result NNS cord-331771-fhy98qt4 210 6 and and CC cord-331771-fhy98qt4 210 7 the the DT cord-331771-fhy98qt4 210 8 predicted predict VBN cord-331771-fhy98qt4 210 9 results result NNS cord-331771-fhy98qt4 210 10 are be VBP cord-331771-fhy98qt4 210 11 very very RB cord-331771-fhy98qt4 210 12 close close JJ cord-331771-fhy98qt4 210 13 to to IN cord-331771-fhy98qt4 210 14 each each DT cord-331771-fhy98qt4 210 15 other other JJ cord-331771-fhy98qt4 210 16 . . . cord-331771-fhy98qt4 211 1 Besides besides RB cord-331771-fhy98qt4 211 2 , , , cord-331771-fhy98qt4 211 3 from from IN cord-331771-fhy98qt4 211 4 the the DT cord-331771-fhy98qt4 211 5 results result NNS cord-331771-fhy98qt4 211 6 , , , cord-331771-fhy98qt4 211 7 we -PRON- PRP cord-331771-fhy98qt4 211 8 can can MD cord-331771-fhy98qt4 211 9 detect detect VB cord-331771-fhy98qt4 211 10 the the DT cord-331771-fhy98qt4 211 11 epidemic epidemic NN cord-331771-fhy98qt4 211 12 outbreak outbreak NN cord-331771-fhy98qt4 211 13 threshold threshold NN cord-331771-fhy98qt4 211 14 . . . cord-331771-fhy98qt4 212 1 It -PRON- PRP cord-331771-fhy98qt4 212 2 is be VBZ cord-331771-fhy98qt4 212 3 important important JJ cord-331771-fhy98qt4 212 4 to to TO cord-331771-fhy98qt4 212 5 study study VB cord-331771-fhy98qt4 212 6 whether whether IN cord-331771-fhy98qt4 212 7 the the DT cord-331771-fhy98qt4 212 8 diffusion diffusion NN cord-331771-fhy98qt4 212 9 of of IN cord-331771-fhy98qt4 212 10 information information NN cord-331771-fhy98qt4 212 11 ( ( -LRB- cord-331771-fhy98qt4 212 12 especially especially RB cord-331771-fhy98qt4 212 13 the the DT cord-331771-fhy98qt4 212 14 diffusion diffusion NN cord-331771-fhy98qt4 212 15 of of IN cord-331771-fhy98qt4 212 16 knowledge knowledge NN cord-331771-fhy98qt4 212 17 ) ) -RRB- cord-331771-fhy98qt4 212 18 could could MD cord-331771-fhy98qt4 212 19 affect affect VB cord-331771-fhy98qt4 212 20 the the DT cord-331771-fhy98qt4 212 21 epidemic epidemic NN cord-331771-fhy98qt4 212 22 outbreak outbreak NN cord-331771-fhy98qt4 212 23 threshold threshold NN cord-331771-fhy98qt4 212 24 . . . cord-331771-fhy98qt4 212 25 _SP cord-331771-fhy98qt4 213 1 To to TO cord-331771-fhy98qt4 213 2 analyze analyze VB cord-331771-fhy98qt4 213 3 the the DT cord-331771-fhy98qt4 213 4 outbreak outbreak NN cord-331771-fhy98qt4 213 5 thresholds threshold NNS cord-331771-fhy98qt4 213 6 in in IN cord-331771-fhy98qt4 213 7 the the DT cord-331771-fhy98qt4 213 8 communication communication NN cord-331771-fhy98qt4 213 9 - - HYPH cord-331771-fhy98qt4 213 10 layer layer NN cord-331771-fhy98qt4 213 11 network network NN cord-331771-fhy98qt4 213 12 , , , cord-331771-fhy98qt4 213 13 especially especially RB cord-331771-fhy98qt4 213 14 to to TO cord-331771-fhy98qt4 213 15 study study VB cord-331771-fhy98qt4 213 16 whether whether IN cord-331771-fhy98qt4 213 17 and and CC cord-331771-fhy98qt4 213 18 how how WRB cord-331771-fhy98qt4 213 19 rumor rumor NN cord-331771-fhy98qt4 213 20 can can MD cord-331771-fhy98qt4 213 21 be be VB cord-331771-fhy98qt4 213 22 eradicated eradicate VBN cord-331771-fhy98qt4 213 23 by by IN cord-331771-fhy98qt4 213 24 the the DT cord-331771-fhy98qt4 213 25 penetration penetration NN cord-331771-fhy98qt4 213 26 of of IN cord-331771-fhy98qt4 213 27 knowledge knowledge NN cord-331771-fhy98qt4 213 28 into into IN cord-331771-fhy98qt4 213 29 rumor rumor NN cord-331771-fhy98qt4 213 30 , , , cord-331771-fhy98qt4 213 31 we -PRON- PRP cord-331771-fhy98qt4 213 32 focus focus VBP cord-331771-fhy98qt4 213 33 on on IN cord-331771-fhy98qt4 213 34 the the DT cord-331771-fhy98qt4 213 35 parameter parameter NN cord-331771-fhy98qt4 213 36 space space NN cord-331771-fhy98qt4 213 37 α α NN cord-331771-fhy98qt4 213 38 3 3 CD cord-331771-fhy98qt4 213 39 − − NN cord-331771-fhy98qt4 213 40 α α NN cord-331771-fhy98qt4 213 41 1 1 CD cord-331771-fhy98qt4 213 42 to to TO cord-331771-fhy98qt4 213 43 draw draw VB cord-331771-fhy98qt4 213 44 the the DT cord-331771-fhy98qt4 213 45 heat heat NN cord-331771-fhy98qt4 213 46 maps map NNS cord-331771-fhy98qt4 213 47 of of IN cord-331771-fhy98qt4 213 48 rumor rumor NN cord-331771-fhy98qt4 213 49 - - HYPH cord-331771-fhy98qt4 213 50 believed believe VBN cord-331771-fhy98qt4 213 51 densities density NNS cord-331771-fhy98qt4 213 52 and and CC cord-331771-fhy98qt4 213 53 knowledge knowledge NN cord-331771-fhy98qt4 213 54 - - HYPH cord-331771-fhy98qt4 213 55 believed believe VBN cord-331771-fhy98qt4 213 56 densities density NNS cord-331771-fhy98qt4 213 57 . . . cord-331771-fhy98qt4 214 1 The the DT cord-331771-fhy98qt4 214 2 value value NN cord-331771-fhy98qt4 214 3 of of IN cord-331771-fhy98qt4 214 4 α α NN cord-331771-fhy98qt4 214 5 2 2 CD cord-331771-fhy98qt4 214 6 is be VBZ cord-331771-fhy98qt4 214 7 set set VBN cord-331771-fhy98qt4 214 8 as as IN cord-331771-fhy98qt4 214 9 0.1 0.1 CD cord-331771-fhy98qt4 214 10 , , , cord-331771-fhy98qt4 214 11 α α NN cord-331771-fhy98qt4 214 12 3 3 CD cord-331771-fhy98qt4 214 13 is be VBZ cord-331771-fhy98qt4 214 14 confined confine VBN cord-331771-fhy98qt4 214 15 in in IN cord-331771-fhy98qt4 214 16 the the DT cord-331771-fhy98qt4 214 17 interval interval NN cord-331771-fhy98qt4 214 18 [ [ -LRB- cord-331771-fhy98qt4 214 19 0 0 CD cord-331771-fhy98qt4 214 20 , , , cord-331771-fhy98qt4 214 21 0.1 0.1 CD cord-331771-fhy98qt4 214 22 ] ] -RRB- cord-331771-fhy98qt4 214 23 , , , cord-331771-fhy98qt4 214 24 and and CC cord-331771-fhy98qt4 214 25 α α NN cord-331771-fhy98qt4 214 26 1 1 CD cord-331771-fhy98qt4 214 27 is be VBZ cord-331771-fhy98qt4 214 28 confined confine VBN cord-331771-fhy98qt4 214 29 in in IN cord-331771-fhy98qt4 214 30 the the DT cord-331771-fhy98qt4 214 31 interval interval NN cord-331771-fhy98qt4 214 32 [ [ -LRB- cord-331771-fhy98qt4 214 33 0.1 0.1 CD cord-331771-fhy98qt4 214 34 , , , cord-331771-fhy98qt4 214 35 1 1 CD cord-331771-fhy98qt4 214 36 ] ] -RRB- cord-331771-fhy98qt4 214 37 . . . cord-331771-fhy98qt4 215 1 As as IN cord-331771-fhy98qt4 215 2 shown show VBN cord-331771-fhy98qt4 215 3 in in IN cord-331771-fhy98qt4 215 4 Figs Figs NNPS cord-331771-fhy98qt4 215 5 . . . cord-331771-fhy98qt4 216 1 6 6 CD cord-331771-fhy98qt4 216 2 and and CC cord-331771-fhy98qt4 216 3 7 7 CD cord-331771-fhy98qt4 216 4 , , , cord-331771-fhy98qt4 216 5 the the DT cord-331771-fhy98qt4 216 6 equilibrium equilibrium NN cord-331771-fhy98qt4 216 7 densities density NNS cord-331771-fhy98qt4 216 8 of of IN cord-331771-fhy98qt4 216 9 rumor rumor NN cord-331771-fhy98qt4 216 10 - - HYPH cord-331771-fhy98qt4 216 11 believed believe VBN cord-331771-fhy98qt4 216 12 nodes node NNS cord-331771-fhy98qt4 216 13 and and CC cord-331771-fhy98qt4 216 14 knowledge knowledge NN cord-331771-fhy98qt4 216 15 - - HYPH cord-331771-fhy98qt4 216 16 believed believe VBN cord-331771-fhy98qt4 216 17 nodes node NNS cord-331771-fhy98qt4 216 18 over over IN cord-331771-fhy98qt4 216 19 α α NN cord-331771-fhy98qt4 216 20 3 3 CD cord-331771-fhy98qt4 216 21 − − NN cord-331771-fhy98qt4 217 1 α α NN cord-331771-fhy98qt4 217 2 1 1 CD cord-331771-fhy98qt4 217 3 are be VBP cord-331771-fhy98qt4 217 4 almost almost RB cord-331771-fhy98qt4 217 5 complementary complementary JJ cord-331771-fhy98qt4 217 6 , , , cord-331771-fhy98qt4 217 7 reflecting reflect VBG cord-331771-fhy98qt4 217 8 the the DT cord-331771-fhy98qt4 217 9 competition competition NN cord-331771-fhy98qt4 217 10 between between IN cord-331771-fhy98qt4 217 11 them -PRON- PRP cord-331771-fhy98qt4 217 12 . . . cord-331771-fhy98qt4 218 1 Increasing increase VBG cord-331771-fhy98qt4 218 2 rumor rumor NN cord-331771-fhy98qt4 218 3 infectivity infectivity NN cord-331771-fhy98qt4 218 4 ( ( -LRB- cord-331771-fhy98qt4 218 5 α α NN cord-331771-fhy98qt4 218 6 1 1 CD cord-331771-fhy98qt4 218 7 ) ) -RRB- cord-331771-fhy98qt4 218 8 will will MD cord-331771-fhy98qt4 218 9 increase increase VB cord-331771-fhy98qt4 218 10 the the DT cord-331771-fhy98qt4 218 11 density density NN cord-331771-fhy98qt4 218 12 of of IN cord-331771-fhy98qt4 218 13 the the DT cord-331771-fhy98qt4 218 14 rumor rumor NN cord-331771-fhy98qt4 218 15 - - HYPH cord-331771-fhy98qt4 218 16 believed believe VBN cord-331771-fhy98qt4 218 17 nodes node NNS cord-331771-fhy98qt4 218 18 and and CC cord-331771-fhy98qt4 218 19 reduce reduce VB cord-331771-fhy98qt4 218 20 that that DT cord-331771-fhy98qt4 218 21 of of IN cord-331771-fhy98qt4 218 22 the the DT cord-331771-fhy98qt4 218 23 knowledge knowledge NN cord-331771-fhy98qt4 218 24 - - HYPH cord-331771-fhy98qt4 218 25 believed believe VBN cord-331771-fhy98qt4 218 26 nodes node NNS cord-331771-fhy98qt4 218 27 , , , cord-331771-fhy98qt4 218 28 while while IN cord-331771-fhy98qt4 218 29 increasing increase VBG cord-331771-fhy98qt4 218 30 the the DT cord-331771-fhy98qt4 218 31 intensity intensity NN cord-331771-fhy98qt4 218 32 of of IN cord-331771-fhy98qt4 218 33 knowledge knowledge NN cord-331771-fhy98qt4 218 34 penetrating penetrate VBG cord-331771-fhy98qt4 218 35 into into IN cord-331771-fhy98qt4 218 36 rumor rumor NN cord-331771-fhy98qt4 218 37 ( ( -LRB- cord-331771-fhy98qt4 218 38 α α NN cord-331771-fhy98qt4 218 39 3 3 CD cord-331771-fhy98qt4 218 40 ) ) -RRB- cord-331771-fhy98qt4 218 41 will will MD cord-331771-fhy98qt4 218 42 reduce reduce VB cord-331771-fhy98qt4 218 43 the the DT cord-331771-fhy98qt4 218 44 density density NN cord-331771-fhy98qt4 218 45 of of IN cord-331771-fhy98qt4 218 46 the the DT cord-331771-fhy98qt4 218 47 rumor rumor NN cord-331771-fhy98qt4 218 48 - - HYPH cord-331771-fhy98qt4 218 49 believed believe VBN cord-331771-fhy98qt4 218 50 nodes node NNS cord-331771-fhy98qt4 218 51 and and CC cord-331771-fhy98qt4 218 52 increases increase NNS cord-331771-fhy98qt4 218 53 that that DT cord-331771-fhy98qt4 218 54 of of IN cord-331771-fhy98qt4 218 55 the the DT cord-331771-fhy98qt4 218 56 knowledge knowledge NN cord-331771-fhy98qt4 218 57 - - HYPH cord-331771-fhy98qt4 218 58 believed believe VBN cord-331771-fhy98qt4 218 59 nodes node NNS cord-331771-fhy98qt4 218 60 . . . cord-331771-fhy98qt4 219 1 These these DT cord-331771-fhy98qt4 219 2 two two CD cord-331771-fhy98qt4 219 3 parameters parameter NNS cord-331771-fhy98qt4 219 4 could could MD cord-331771-fhy98qt4 219 5 determine determine VB cord-331771-fhy98qt4 219 6 which which WDT cord-331771-fhy98qt4 219 7 wins win VBZ cord-331771-fhy98qt4 219 8 in in IN cord-331771-fhy98qt4 219 9 the the DT cord-331771-fhy98qt4 219 10 competition competition NN cord-331771-fhy98qt4 219 11 , , , cord-331771-fhy98qt4 219 12 especially especially RB cord-331771-fhy98qt4 219 13 whether whether IN cord-331771-fhy98qt4 219 14 the the DT cord-331771-fhy98qt4 219 15 rumor rumor NN cord-331771-fhy98qt4 219 16 can can MD cord-331771-fhy98qt4 219 17 be be VB cord-331771-fhy98qt4 219 18 eradicated eradicate VBN cord-331771-fhy98qt4 219 19 by by IN cord-331771-fhy98qt4 219 20 knowledge knowledge NN cord-331771-fhy98qt4 219 21 . . . cord-331771-fhy98qt4 220 1 Moreover moreover RB cord-331771-fhy98qt4 220 2 , , , cord-331771-fhy98qt4 220 3 from from IN cord-331771-fhy98qt4 220 4 the the DT cord-331771-fhy98qt4 220 5 two two CD cord-331771-fhy98qt4 220 6 figures figure NNS cord-331771-fhy98qt4 220 7 , , , cord-331771-fhy98qt4 220 8 we -PRON- PRP cord-331771-fhy98qt4 220 9 observe observe VBP cord-331771-fhy98qt4 220 10 the the DT cord-331771-fhy98qt4 220 11 effects effect NNS cord-331771-fhy98qt4 220 12 of of IN cord-331771-fhy98qt4 220 13 α α NN cord-331771-fhy98qt4 220 14 1 1 CD cord-331771-fhy98qt4 220 15 and and CC cord-331771-fhy98qt4 220 16 α α NN cord-331771-fhy98qt4 220 17 3 3 CD cord-331771-fhy98qt4 220 18 on on IN cord-331771-fhy98qt4 220 19 the the DT cord-331771-fhy98qt4 220 20 outbreak outbreak NN cord-331771-fhy98qt4 220 21 thresholds threshold NNS cord-331771-fhy98qt4 220 22 of of IN cord-331771-fhy98qt4 220 23 rumor rumor NN cord-331771-fhy98qt4 220 24 and and CC cord-331771-fhy98qt4 220 25 of of IN cord-331771-fhy98qt4 220 26 knowledge knowledge NN cord-331771-fhy98qt4 220 27 , , , cord-331771-fhy98qt4 220 28 and and CC cord-331771-fhy98qt4 220 29 we -PRON- PRP cord-331771-fhy98qt4 220 30 compare compare VBP cord-331771-fhy98qt4 220 31 the the DT cord-331771-fhy98qt4 220 32 numerical numerical JJ cord-331771-fhy98qt4 220 33 predictions prediction NNS cord-331771-fhy98qt4 220 34 with with IN cord-331771-fhy98qt4 220 35 the the DT cord-331771-fhy98qt4 220 36 mean mean JJ cord-331771-fhy98qt4 220 37 - - HYPH cord-331771-fhy98qt4 220 38 field field NN cord-331771-fhy98qt4 220 39 thresholds threshold NNS cord-331771-fhy98qt4 220 40 in in IN cord-331771-fhy98qt4 220 41 Eqs Eqs NNP cord-331771-fhy98qt4 220 42 . . . cord-331771-fhy98qt4 221 1 ( ( -LRB- cord-331771-fhy98qt4 221 2 6 6 CD cord-331771-fhy98qt4 221 3 ) ) -RRB- cord-331771-fhy98qt4 221 4 and and CC cord-331771-fhy98qt4 221 5 ( ( -LRB- cord-331771-fhy98qt4 221 6 7 7 CD cord-331771-fhy98qt4 221 7 ) ) -RRB- cord-331771-fhy98qt4 221 8 . . . cord-331771-fhy98qt4 222 1 It -PRON- PRP cord-331771-fhy98qt4 222 2 can can MD cord-331771-fhy98qt4 222 3 be be VB cord-331771-fhy98qt4 222 4 found find VBN cord-331771-fhy98qt4 222 5 that that IN cord-331771-fhy98qt4 222 6 the the DT cord-331771-fhy98qt4 222 7 numerical numerical JJ cord-331771-fhy98qt4 222 8 threshold threshold NN cord-331771-fhy98qt4 222 9 of of IN cord-331771-fhy98qt4 222 10 rumor rumor NN cord-331771-fhy98qt4 222 11 is be VBZ cord-331771-fhy98qt4 222 12 highly highly RB cord-331771-fhy98qt4 222 13 matched match VBN cord-331771-fhy98qt4 222 14 with with IN cord-331771-fhy98qt4 222 15 the the DT cord-331771-fhy98qt4 222 16 mean mean JJ cord-331771-fhy98qt4 222 17 - - HYPH cord-331771-fhy98qt4 222 18 field field NN cord-331771-fhy98qt4 222 19 rumor rumor NN cord-331771-fhy98qt4 222 20 threshold threshold NN cord-331771-fhy98qt4 222 21 . . . cord-331771-fhy98qt4 223 1 As as IN cord-331771-fhy98qt4 223 2 α α NN cord-331771-fhy98qt4 223 3 1 1 CD cord-331771-fhy98qt4 223 4 ( ( -LRB- cord-331771-fhy98qt4 223 5 i.e. i.e. FW cord-331771-fhy98qt4 223 6 , , , cord-331771-fhy98qt4 223 7 infectivity infectivity NN cord-331771-fhy98qt4 223 8 of of IN cord-331771-fhy98qt4 223 9 rumor rumor NN cord-331771-fhy98qt4 223 10 ) ) -RRB- cord-331771-fhy98qt4 223 11 increases increase NNS cord-331771-fhy98qt4 223 12 , , , cord-331771-fhy98qt4 223 13 a a DT cord-331771-fhy98qt4 223 14 larger large JJR cord-331771-fhy98qt4 223 15 α α NN cord-331771-fhy98qt4 223 16 3 3 CD cord-331771-fhy98qt4 223 17 ( ( -LRB- cord-331771-fhy98qt4 223 18 i.e. i.e. FW cord-331771-fhy98qt4 223 19 , , , cord-331771-fhy98qt4 223 20 penetration penetration NN cord-331771-fhy98qt4 223 21 intensity intensity NN cord-331771-fhy98qt4 223 22 of of IN cord-331771-fhy98qt4 223 23 knowledge knowledge NN cord-331771-fhy98qt4 223 24 into into IN cord-331771-fhy98qt4 223 25 rumor rumor NN cord-331771-fhy98qt4 223 26 ) ) -RRB- cord-331771-fhy98qt4 223 27 is be VBZ cord-331771-fhy98qt4 223 28 required require VBN cord-331771-fhy98qt4 223 29 to to TO cord-331771-fhy98qt4 223 30 eradicate eradicate VB cord-331771-fhy98qt4 223 31 rumor rumor NN cord-331771-fhy98qt4 223 32 . . . cord-331771-fhy98qt4 224 1 And and CC cord-331771-fhy98qt4 224 2 the the DT cord-331771-fhy98qt4 224 3 rumor rumor NN cord-331771-fhy98qt4 224 4 outbreak outbreak NN cord-331771-fhy98qt4 224 5 threshold threshold NN cord-331771-fhy98qt4 224 6 indicates indicate VBZ cord-331771-fhy98qt4 224 7 that that IN cord-331771-fhy98qt4 224 8 α α NN cord-331771-fhy98qt4 224 9 3 3 CD cord-331771-fhy98qt4 224 10 should should MD cord-331771-fhy98qt4 224 11 increase increase VB cord-331771-fhy98qt4 224 12 linearly linearly RB cord-331771-fhy98qt4 224 13 with with IN cord-331771-fhy98qt4 224 14 α α NN cord-331771-fhy98qt4 224 15 1 1 CD cord-331771-fhy98qt4 224 16 , , , cord-331771-fhy98qt4 224 17 as as IN cord-331771-fhy98qt4 224 18 shown show VBN cord-331771-fhy98qt4 224 19 below below IN cord-331771-fhy98qt4 224 20 2 2 CD cord-331771-fhy98qt4 225 1 The the DT cord-331771-fhy98qt4 225 2 numerical numerical JJ cord-331771-fhy98qt4 225 3 threshold threshold NN cord-331771-fhy98qt4 225 4 of of IN cord-331771-fhy98qt4 225 5 knowledge knowledge NN cord-331771-fhy98qt4 225 6 is be VBZ cord-331771-fhy98qt4 225 7 also also RB cord-331771-fhy98qt4 225 8 close close JJ cord-331771-fhy98qt4 225 9 to to IN cord-331771-fhy98qt4 225 10 the the DT cord-331771-fhy98qt4 225 11 mean mean JJ cord-331771-fhy98qt4 225 12 - - HYPH cord-331771-fhy98qt4 225 13 field field NN cord-331771-fhy98qt4 225 14 knowledge knowledge NN cord-331771-fhy98qt4 225 15 threshold threshold NN cord-331771-fhy98qt4 225 16 3 3 CD cord-331771-fhy98qt4 225 17 With with IN cord-331771-fhy98qt4 225 18 the the DT cord-331771-fhy98qt4 225 19 increase increase NN cord-331771-fhy98qt4 225 20 of of IN cord-331771-fhy98qt4 225 21 α α NN cord-331771-fhy98qt4 225 22 1 1 CD cord-331771-fhy98qt4 225 23 ( ( -LRB- cord-331771-fhy98qt4 225 24 i.e. i.e. FW cord-331771-fhy98qt4 225 25 , , , cord-331771-fhy98qt4 225 26 infectivity infectivity NN cord-331771-fhy98qt4 225 27 of of IN cord-331771-fhy98qt4 225 28 rumor rumor NN cord-331771-fhy98qt4 225 29 ) ) -RRB- cord-331771-fhy98qt4 225 30 , , . cord-331771-fhy98qt4 226 1 a a DT cord-331771-fhy98qt4 226 2 larger large JJR cord-331771-fhy98qt4 226 3 α α NN cord-331771-fhy98qt4 226 4 3 3 CD cord-331771-fhy98qt4 226 5 ( ( -LRB- cord-331771-fhy98qt4 226 6 i.e. i.e. FW cord-331771-fhy98qt4 226 7 , , , cord-331771-fhy98qt4 226 8 penetration penetration NN cord-331771-fhy98qt4 226 9 intensity intensity NN cord-331771-fhy98qt4 226 10 of of IN cord-331771-fhy98qt4 226 11 knowledge knowledge NN cord-331771-fhy98qt4 226 12 into into IN cord-331771-fhy98qt4 226 13 rumor rumor NN cord-331771-fhy98qt4 226 14 ) ) -RRB- cord-331771-fhy98qt4 226 15 is be VBZ cord-331771-fhy98qt4 226 16 required require VBN cord-331771-fhy98qt4 226 17 for for IN cord-331771-fhy98qt4 226 18 knowledge knowledge NN cord-331771-fhy98qt4 226 19 to to TO cord-331771-fhy98qt4 226 20 diffuse diffuse VB cord-331771-fhy98qt4 226 21 . . . cord-331771-fhy98qt4 227 1 But but CC cord-331771-fhy98qt4 227 2 it -PRON- PRP cord-331771-fhy98qt4 227 3 should should MD cord-331771-fhy98qt4 227 4 be be VB cord-331771-fhy98qt4 227 5 noted note VBN cord-331771-fhy98qt4 227 6 that that IN cord-331771-fhy98qt4 227 7 the the DT cord-331771-fhy98qt4 227 8 equilibrium equilibrium NN cord-331771-fhy98qt4 227 9 density density NN cord-331771-fhy98qt4 227 10 of of IN cord-331771-fhy98qt4 227 11 the the DT cord-331771-fhy98qt4 227 12 knowledge knowledge NN cord-331771-fhy98qt4 227 13 - - HYPH cord-331771-fhy98qt4 227 14 believed believe VBN cord-331771-fhy98qt4 227 15 nodes node NNS cord-331771-fhy98qt4 227 16 increases increase VBZ cord-331771-fhy98qt4 227 17 sharply sharply RB cord-331771-fhy98qt4 227 18 with with IN cord-331771-fhy98qt4 227 19 α α NN cord-331771-fhy98qt4 227 20 3 3 CD cord-331771-fhy98qt4 227 21 . . . cord-331771-fhy98qt4 228 1 Even even RB cord-331771-fhy98qt4 228 2 if if IN cord-331771-fhy98qt4 228 3 the the DT cord-331771-fhy98qt4 228 4 infectivity infectivity NN cord-331771-fhy98qt4 228 5 of of IN cord-331771-fhy98qt4 228 6 rumor rumor NN cord-331771-fhy98qt4 228 7 is be VBZ cord-331771-fhy98qt4 228 8 extremely extremely RB cord-331771-fhy98qt4 228 9 high high JJ cord-331771-fhy98qt4 228 10 , , , cord-331771-fhy98qt4 228 11 a a DT cord-331771-fhy98qt4 228 12 small small JJ cord-331771-fhy98qt4 228 13 α α NN cord-331771-fhy98qt4 228 14 3 3 CD cord-331771-fhy98qt4 228 15 ( ( -LRB- cord-331771-fhy98qt4 228 16 e.g. e.g. RB cord-331771-fhy98qt4 228 17 α α NN cord-331771-fhy98qt4 228 18 3 3 CD cord-331771-fhy98qt4 228 19 = = SYM cord-331771-fhy98qt4 228 20 0 0 CD cord-331771-fhy98qt4 228 21 . . . cord-331771-fhy98qt4 228 22 2 2 LS cord-331771-fhy98qt4 228 23 ) ) -RRB- cord-331771-fhy98qt4 228 24 will will MD cord-331771-fhy98qt4 228 25 make make VB cord-331771-fhy98qt4 228 26 knowledge knowledge NN cord-331771-fhy98qt4 228 27 ineradicable ineradicable JJ cord-331771-fhy98qt4 228 28 . . . cord-331771-fhy98qt4 229 1 The the DT cord-331771-fhy98qt4 229 2 knowledge knowledge NN cord-331771-fhy98qt4 229 3 outbreak outbreak NN cord-331771-fhy98qt4 229 4 threshold threshold NN cord-331771-fhy98qt4 229 5 indicates indicate VBZ cord-331771-fhy98qt4 229 6 that that IN cord-331771-fhy98qt4 229 7 α α NN cord-331771-fhy98qt4 229 8 3 3 CD cord-331771-fhy98qt4 229 9 increases increase VBZ cord-331771-fhy98qt4 229 10 nonlinearly nonlinearly RB cord-331771-fhy98qt4 229 11 with with IN cord-331771-fhy98qt4 229 12 the the DT cord-331771-fhy98qt4 229 13 increase increase NN cord-331771-fhy98qt4 229 14 of of IN cord-331771-fhy98qt4 229 15 α α NN cord-331771-fhy98qt4 229 16 1 1 CD cord-331771-fhy98qt4 229 17 , , , cord-331771-fhy98qt4 229 18 as as IN cord-331771-fhy98qt4 229 19 shown show VBN cord-331771-fhy98qt4 229 20 below below IN cord-331771-fhy98qt4 229 21 Therefore therefore RB cord-331771-fhy98qt4 229 22 , , , cord-331771-fhy98qt4 229 23 from from IN cord-331771-fhy98qt4 229 24 the the DT cord-331771-fhy98qt4 229 25 above above JJ cord-331771-fhy98qt4 229 26 results result NNS cord-331771-fhy98qt4 229 27 , , , cord-331771-fhy98qt4 229 28 we -PRON- PRP cord-331771-fhy98qt4 229 29 observe observe VBP cord-331771-fhy98qt4 229 30 a a DT cord-331771-fhy98qt4 229 31 three three CD cord-331771-fhy98qt4 229 32 - - HYPH cord-331771-fhy98qt4 229 33 phase phase NN cord-331771-fhy98qt4 229 34 phenomenon phenomenon NN cord-331771-fhy98qt4 229 35 of of IN cord-331771-fhy98qt4 229 36 information information NN cord-331771-fhy98qt4 229 37 diffusion diffusion NN cord-331771-fhy98qt4 229 38 over over IN cord-331771-fhy98qt4 229 39 α α NNP cord-331771-fhy98qt4 229 40 3 3 CD cord-331771-fhy98qt4 229 41 . . . cord-331771-fhy98qt4 230 1 When when WRB cord-331771-fhy98qt4 230 2 α α NN cord-331771-fhy98qt4 230 3 3 3 CD cord-331771-fhy98qt4 230 4 < < XX cord-331771-fhy98qt4 230 5 , , , cord-331771-fhy98qt4 230 6 knowledge knowledge NN cord-331771-fhy98qt4 230 7 starts start VBZ cord-331771-fhy98qt4 230 8 to to TO cord-331771-fhy98qt4 230 9 diffuse diffuse VB cord-331771-fhy98qt4 230 10 . . . cord-331771-fhy98qt4 231 1 As as IN cord-331771-fhy98qt4 231 2 a a DT cord-331771-fhy98qt4 231 3 result result NN cord-331771-fhy98qt4 231 4 , , , cord-331771-fhy98qt4 231 5 rumor rumor NN cord-331771-fhy98qt4 231 6 is be VBZ cord-331771-fhy98qt4 231 7 gradually gradually RB cord-331771-fhy98qt4 231 8 confined confine VBN cord-331771-fhy98qt4 231 9 . . . cord-331771-fhy98qt4 232 1 When when WRB cord-331771-fhy98qt4 232 2 α α NN cord-331771-fhy98qt4 232 3 3 3 CD cord-331771-fhy98qt4 232 4 > > XX cord-331771-fhy98qt4 232 5 ( ( -LRB- cord-331771-fhy98qt4 232 6 α α NN cord-331771-fhy98qt4 232 7 1 1 CD cord-331771-fhy98qt4 232 8 f f NN cord-331771-fhy98qt4 232 9 2 2 CD cord-331771-fhy98qt4 232 10 − − NN cord-331771-fhy98qt4 232 11 α α NN cord-331771-fhy98qt4 232 12 2 2 CD cord-331771-fhy98qt4 232 13 f f NN cord-331771-fhy98qt4 232 14 1 1 CD cord-331771-fhy98qt4 232 15 ) ) -RRB- cord-331771-fhy98qt4 232 16 ( ( -LRB- cord-331771-fhy98qt4 232 17 kα kα IN cord-331771-fhy98qt4 232 18 2 2 CD cord-331771-fhy98qt4 232 19 − − NN cord-331771-fhy98qt4 232 20 f f NN cord-331771-fhy98qt4 232 21 2 2 CD cord-331771-fhy98qt4 232 22 ) ) -RRB- cord-331771-fhy98qt4 232 23 , , , cord-331771-fhy98qt4 232 24 knowledge knowledge NN cord-331771-fhy98qt4 232 25 takes take VBZ cord-331771-fhy98qt4 232 26 the the DT cord-331771-fhy98qt4 232 27 dominant dominant JJ cord-331771-fhy98qt4 232 28 position position NN cord-331771-fhy98qt4 232 29 and and CC cord-331771-fhy98qt4 232 30 rumor rumor NN cord-331771-fhy98qt4 232 31 is be VBZ cord-331771-fhy98qt4 232 32 eradicated eradicate VBN cord-331771-fhy98qt4 232 33 . . . cord-331771-fhy98qt4 233 1 Thus thus RB cord-331771-fhy98qt4 233 2 , , , cord-331771-fhy98qt4 233 3 the the DT cord-331771-fhy98qt4 233 4 value value NN cord-331771-fhy98qt4 233 5 of of IN cord-331771-fhy98qt4 233 6 α α NN cord-331771-fhy98qt4 233 7 3 3 CD cord-331771-fhy98qt4 233 8 ( ( -LRB- cord-331771-fhy98qt4 233 9 i.e. i.e. FW cord-331771-fhy98qt4 233 10 , , , cord-331771-fhy98qt4 233 11 penetration penetration NN cord-331771-fhy98qt4 233 12 intensity intensity NN cord-331771-fhy98qt4 233 13 of of IN cord-331771-fhy98qt4 233 14 knowledge knowledge NN cord-331771-fhy98qt4 233 15 into into IN cord-331771-fhy98qt4 233 16 rumor rumor NN cord-331771-fhy98qt4 233 17 ) ) -RRB- cord-331771-fhy98qt4 233 18 is be VBZ cord-331771-fhy98qt4 233 19 crucial crucial JJ cord-331771-fhy98qt4 233 20 to to IN cord-331771-fhy98qt4 233 21 information information NN cord-331771-fhy98qt4 233 22 diffusion diffusion NN cord-331771-fhy98qt4 233 23 . . . cord-331771-fhy98qt4 234 1 It -PRON- PRP cord-331771-fhy98qt4 234 2 largely largely RB cord-331771-fhy98qt4 234 3 determines determine VBZ cord-331771-fhy98qt4 234 4 whether whether IN cord-331771-fhy98qt4 234 5 rumor rumor NN cord-331771-fhy98qt4 234 6 can can MD cord-331771-fhy98qt4 234 7 be be VB cord-331771-fhy98qt4 234 8 eradicated eradicate VBN cord-331771-fhy98qt4 234 9 by by IN cord-331771-fhy98qt4 234 10 knowledge knowledge NN cord-331771-fhy98qt4 234 11 . . . cord-331771-fhy98qt4 235 1 3 3 LS cord-331771-fhy98qt4 236 1 Compared compare VBN cord-331771-fhy98qt4 236 2 with with IN cord-331771-fhy98qt4 236 3 rumor rumor NN cord-331771-fhy98qt4 236 4 , , , cord-331771-fhy98qt4 236 5 the the DT cord-331771-fhy98qt4 236 6 gap gap NN cord-331771-fhy98qt4 236 7 between between IN cord-331771-fhy98qt4 236 8 the the DT cord-331771-fhy98qt4 236 9 predicted predict VBN cord-331771-fhy98qt4 236 10 thresholds threshold NNS cord-331771-fhy98qt4 236 11 and and CC cord-331771-fhy98qt4 236 12 mean mean JJ cord-331771-fhy98qt4 236 13 - - HYPH cord-331771-fhy98qt4 236 14 field field NN cord-331771-fhy98qt4 236 15 thresholds threshold NNS cord-331771-fhy98qt4 236 16 of of IN cord-331771-fhy98qt4 236 17 knowledge knowledge NN cord-331771-fhy98qt4 236 18 is be VBZ cord-331771-fhy98qt4 236 19 less less RBR cord-331771-fhy98qt4 236 20 negligible negligible JJ cord-331771-fhy98qt4 236 21 . . . cord-331771-fhy98qt4 237 1 It -PRON- PRP cord-331771-fhy98qt4 237 2 is be VBZ cord-331771-fhy98qt4 237 3 largely largely RB cord-331771-fhy98qt4 237 4 due due JJ cord-331771-fhy98qt4 237 5 to to IN cord-331771-fhy98qt4 237 6 two two CD cord-331771-fhy98qt4 237 7 reasons reason NNS cord-331771-fhy98qt4 237 8 . . . cord-331771-fhy98qt4 238 1 First first RB cord-331771-fhy98qt4 238 2 , , , cord-331771-fhy98qt4 238 3 the the DT cord-331771-fhy98qt4 238 4 mean mean JJ cord-331771-fhy98qt4 238 5 - - HYPH cord-331771-fhy98qt4 238 6 field field NN cord-331771-fhy98qt4 238 7 analysis analysis NN cord-331771-fhy98qt4 238 8 may may MD cord-331771-fhy98qt4 238 9 lead lead VB cord-331771-fhy98qt4 238 10 to to IN cord-331771-fhy98qt4 238 11 some some DT cord-331771-fhy98qt4 238 12 bias bias NN cord-331771-fhy98qt4 238 13 . . . cord-331771-fhy98qt4 239 1 Second second RB cord-331771-fhy98qt4 239 2 , , , cord-331771-fhy98qt4 239 3 the the DT cord-331771-fhy98qt4 239 4 bias bias NN cord-331771-fhy98qt4 239 5 becomes become VBZ cord-331771-fhy98qt4 239 6 clear clear JJ cord-331771-fhy98qt4 239 7 when when WRB cord-331771-fhy98qt4 239 8 the the DT cord-331771-fhy98qt4 239 9 parameter parameter NN cord-331771-fhy98qt4 239 10 α α NN cord-331771-fhy98qt4 239 11 3 3 CD cord-331771-fhy98qt4 239 12 is be VBZ cord-331771-fhy98qt4 239 13 confined confine VBN cord-331771-fhy98qt4 239 14 in in IN cord-331771-fhy98qt4 239 15 a a DT cord-331771-fhy98qt4 239 16 very very RB cord-331771-fhy98qt4 239 17 small small JJ cord-331771-fhy98qt4 239 18 range range NN cord-331771-fhy98qt4 239 19 [ [ -LRB- cord-331771-fhy98qt4 239 20 0 0 CD cord-331771-fhy98qt4 239 21 , , , cord-331771-fhy98qt4 239 22 0.1 0.1 CD cord-331771-fhy98qt4 239 23 ] ] -RRB- cord-331771-fhy98qt4 239 24 and and CC cord-331771-fhy98qt4 239 25 the the DT cord-331771-fhy98qt4 239 26 step step NN cord-331771-fhy98qt4 239 27 is be VBZ cord-331771-fhy98qt4 239 28 set set VBN cord-331771-fhy98qt4 239 29 as as IN cord-331771-fhy98qt4 239 30 a a DT cord-331771-fhy98qt4 239 31 very very RB cord-331771-fhy98qt4 239 32 tiny tiny JJ cord-331771-fhy98qt4 239 33 value value NN cord-331771-fhy98qt4 239 34 : : : cord-331771-fhy98qt4 239 35 0.005 0.005 CD cord-331771-fhy98qt4 239 36 . . . cord-331771-fhy98qt4 239 37 _SP cord-331771-fhy98qt4 240 1 To to TO cord-331771-fhy98qt4 240 2 analyze analyze VB cord-331771-fhy98qt4 240 3 the the DT cord-331771-fhy98qt4 240 4 outbreak outbreak NN cord-331771-fhy98qt4 240 5 threshold threshold NN cord-331771-fhy98qt4 240 6 of of IN cord-331771-fhy98qt4 240 7 epidemic epidemic NN cord-331771-fhy98qt4 240 8 in in IN cord-331771-fhy98qt4 240 9 the the DT cord-331771-fhy98qt4 240 10 contact contact NN cord-331771-fhy98qt4 240 11 - - HYPH cord-331771-fhy98qt4 240 12 layer layer NN cord-331771-fhy98qt4 240 13 network network NN cord-331771-fhy98qt4 240 14 , , , cord-331771-fhy98qt4 240 15 especially especially RB cord-331771-fhy98qt4 240 16 to to TO cord-331771-fhy98qt4 240 17 study study VB cord-331771-fhy98qt4 240 18 whether whether IN cord-331771-fhy98qt4 240 19 the the DT cord-331771-fhy98qt4 240 20 diffusion diffusion NN cord-331771-fhy98qt4 240 21 of of IN cord-331771-fhy98qt4 240 22 knowledge knowledge NN cord-331771-fhy98qt4 240 23 helps help VBZ cord-331771-fhy98qt4 240 24 to to TO cord-331771-fhy98qt4 240 25 eradicate eradicate VB cord-331771-fhy98qt4 240 26 the the DT cord-331771-fhy98qt4 240 27 epidemic epidemic NN cord-331771-fhy98qt4 240 28 , , , cord-331771-fhy98qt4 240 29 we -PRON- PRP cord-331771-fhy98qt4 240 30 consider consider VBP cord-331771-fhy98qt4 240 31 two two CD cord-331771-fhy98qt4 240 32 situations situation NNS cord-331771-fhy98qt4 240 33 : : : cord-331771-fhy98qt4 240 34 perfect perfect VB cord-331771-fhy98qt4 240 35 self self NN cord-331771-fhy98qt4 240 36 - - HYPH cord-331771-fhy98qt4 240 37 protection protection NN cord-331771-fhy98qt4 240 38 and and CC cord-331771-fhy98qt4 240 39 imperfect imperfect JJ cord-331771-fhy98qt4 240 40 self self NN cord-331771-fhy98qt4 240 41 - - HYPH cord-331771-fhy98qt4 240 42 protection protection NN cord-331771-fhy98qt4 240 43 . . . cord-331771-fhy98qt4 241 1 Firstly firstly RB cord-331771-fhy98qt4 241 2 , , , cord-331771-fhy98qt4 241 3 we -PRON- PRP cord-331771-fhy98qt4 241 4 focus focus VBP cord-331771-fhy98qt4 241 5 on on IN cord-331771-fhy98qt4 241 6 the the DT cord-331771-fhy98qt4 241 7 parameter parameter NN cord-331771-fhy98qt4 241 8 space space NN cord-331771-fhy98qt4 241 9 α α NN cord-331771-fhy98qt4 241 10 3 3 CD cord-331771-fhy98qt4 241 11 − − NN cord-331771-fhy98qt4 241 12 β β NN cord-331771-fhy98qt4 241 13 1 1 CD cord-331771-fhy98qt4 241 14 with with IN cord-331771-fhy98qt4 241 15 the the DT cord-331771-fhy98qt4 241 16 value value NN cord-331771-fhy98qt4 241 17 of of IN cord-331771-fhy98qt4 241 18 β β NN cord-331771-fhy98qt4 241 19 2 2 CD cord-331771-fhy98qt4 241 20 set set VBN cord-331771-fhy98qt4 241 21 to to IN cord-331771-fhy98qt4 241 22 0 0 NFP cord-331771-fhy98qt4 241 23 ( ( -LRB- cord-331771-fhy98qt4 241 24 i.e. i.e. FW cord-331771-fhy98qt4 241 25 , , , cord-331771-fhy98qt4 241 26 perfect perfect JJ cord-331771-fhy98qt4 241 27 self self NN cord-331771-fhy98qt4 241 28 protection protection NN cord-331771-fhy98qt4 241 29 ) ) -RRB- cord-331771-fhy98qt4 241 30 . . . cord-331771-fhy98qt4 242 1 α α NN cord-331771-fhy98qt4 242 2 3 3 CD cord-331771-fhy98qt4 242 3 is be VBZ cord-331771-fhy98qt4 242 4 confined confine VBN cord-331771-fhy98qt4 242 5 in in IN cord-331771-fhy98qt4 242 6 the the DT cord-331771-fhy98qt4 242 7 interval interval NN cord-331771-fhy98qt4 242 8 [ [ -LRB- cord-331771-fhy98qt4 242 9 0 0 CD cord-331771-fhy98qt4 242 10 , , , cord-331771-fhy98qt4 242 11 0.1 0.1 CD cord-331771-fhy98qt4 242 12 ] ] -RRB- cord-331771-fhy98qt4 242 13 , , , cord-331771-fhy98qt4 242 14 and and CC cord-331771-fhy98qt4 242 15 β β NN cord-331771-fhy98qt4 242 16 1 1 CD cord-331771-fhy98qt4 242 17 is be VBZ cord-331771-fhy98qt4 242 18 confined confine VBN cord-331771-fhy98qt4 242 19 in in IN cord-331771-fhy98qt4 242 20 the the DT cord-331771-fhy98qt4 242 21 interval interval NN cord-331771-fhy98qt4 242 22 [ [ -LRB- cord-331771-fhy98qt4 242 23 0 0 CD cord-331771-fhy98qt4 242 24 , , , cord-331771-fhy98qt4 242 25 1 1 CD cord-331771-fhy98qt4 242 26 ] ] -RRB- cord-331771-fhy98qt4 242 27 . . . cord-331771-fhy98qt4 243 1 Secondly secondly RB cord-331771-fhy98qt4 243 2 , , , cord-331771-fhy98qt4 243 3 we -PRON- PRP cord-331771-fhy98qt4 243 4 fix fix VBP cord-331771-fhy98qt4 243 5 the the DT cord-331771-fhy98qt4 243 6 infectivity infectivity NN cord-331771-fhy98qt4 243 7 of of IN cord-331771-fhy98qt4 243 8 epidemic epidemic NN cord-331771-fhy98qt4 243 9 ( ( -LRB- cord-331771-fhy98qt4 243 10 β β NN cord-331771-fhy98qt4 243 11 1 1 CD cord-331771-fhy98qt4 243 12 = = SYM cord-331771-fhy98qt4 243 13 0 0 CD cord-331771-fhy98qt4 243 14 . . . cord-331771-fhy98qt4 243 15 1 1 CD cord-331771-fhy98qt4 243 16 ) ) -RRB- cord-331771-fhy98qt4 243 17 , , , cord-331771-fhy98qt4 243 18 and and CC cord-331771-fhy98qt4 243 19 focus focus VB cord-331771-fhy98qt4 243 20 on on IN cord-331771-fhy98qt4 243 21 the the DT cord-331771-fhy98qt4 243 22 parameter parameter NN cord-331771-fhy98qt4 243 23 space space NN cord-331771-fhy98qt4 244 1 α α NN cord-331771-fhy98qt4 244 2 3 3 CD cord-331771-fhy98qt4 244 3 − − NN cord-331771-fhy98qt4 244 4 β β NN cord-331771-fhy98qt4 244 5 2 2 CD cord-331771-fhy98qt4 244 6 , , , cord-331771-fhy98qt4 244 7 in in IN cord-331771-fhy98qt4 244 8 order order NN cord-331771-fhy98qt4 244 9 to to TO cord-331771-fhy98qt4 244 10 explore explore VB cord-331771-fhy98qt4 244 11 how how WRB cord-331771-fhy98qt4 244 12 imperfect imperfect JJ cord-331771-fhy98qt4 244 13 self self NN cord-331771-fhy98qt4 244 14 - - HYPH cord-331771-fhy98qt4 244 15 protection protection NN cord-331771-fhy98qt4 244 16 ( ( -LRB- cord-331771-fhy98qt4 244 17 β β NN cord-331771-fhy98qt4 244 18 2 2 CD cord-331771-fhy98qt4 244 19 ∈ ∈ NN cord-331771-fhy98qt4 244 20 [ [ -LRB- cord-331771-fhy98qt4 244 21 0 0 CD cord-331771-fhy98qt4 244 22 , , , cord-331771-fhy98qt4 244 23 0.1 0.1 CD cord-331771-fhy98qt4 244 24 ] ] -RRB- cord-331771-fhy98qt4 244 25 ) ) -RRB- cord-331771-fhy98qt4 244 26 affects affect VBZ cord-331771-fhy98qt4 244 27 the the DT cord-331771-fhy98qt4 244 28 spread spread NN cord-331771-fhy98qt4 244 29 of of IN cord-331771-fhy98qt4 244 30 epidemic epidemic NN cord-331771-fhy98qt4 244 31 by by IN cord-331771-fhy98qt4 244 32 knowledge knowledge NN cord-331771-fhy98qt4 244 33 diffusion diffusion NN cord-331771-fhy98qt4 244 34 . . . cord-331771-fhy98qt4 245 1 As as IN cord-331771-fhy98qt4 245 2 shown show VBN cord-331771-fhy98qt4 245 3 in in IN cord-331771-fhy98qt4 245 4 Fig Fig NNP cord-331771-fhy98qt4 245 5 . . . cord-331771-fhy98qt4 246 1 8 8 CD cord-331771-fhy98qt4 246 2 , , , cord-331771-fhy98qt4 246 3 in in IN cord-331771-fhy98qt4 246 4 the the DT cord-331771-fhy98qt4 246 5 case case NN cord-331771-fhy98qt4 246 6 of of IN cord-331771-fhy98qt4 246 7 perfect perfect JJ cord-331771-fhy98qt4 246 8 self self NN cord-331771-fhy98qt4 246 9 - - HYPH cord-331771-fhy98qt4 246 10 protection protection NN cord-331771-fhy98qt4 246 11 , , , cord-331771-fhy98qt4 246 12 increasing increase VBG cord-331771-fhy98qt4 246 13 the the DT cord-331771-fhy98qt4 246 14 value value NN cord-331771-fhy98qt4 246 15 of of IN cord-331771-fhy98qt4 246 16 epidemic epidemic NN cord-331771-fhy98qt4 246 17 infectivity infectivity NN cord-331771-fhy98qt4 246 18 ( ( -LRB- cord-331771-fhy98qt4 246 19 β β NN cord-331771-fhy98qt4 246 20 1 1 CD cord-331771-fhy98qt4 246 21 ) ) -RRB- cord-331771-fhy98qt4 246 22 will will MD cord-331771-fhy98qt4 246 23 increase increase VB cord-331771-fhy98qt4 246 24 the the DT cord-331771-fhy98qt4 246 25 density density NN cord-331771-fhy98qt4 246 26 of of IN cord-331771-fhy98qt4 246 27 the the DT cord-331771-fhy98qt4 246 28 ( ( -LRB- cord-331771-fhy98qt4 246 29 undetected undetected JJ cord-331771-fhy98qt4 246 30 and and CC cord-331771-fhy98qt4 246 31 detected detect VBN cord-331771-fhy98qt4 246 32 ) ) -RRB- cord-331771-fhy98qt4 246 33 infected infect VBN cord-331771-fhy98qt4 246 34 nodes node NNS cord-331771-fhy98qt4 246 35 , , , cord-331771-fhy98qt4 246 36 while while IN cord-331771-fhy98qt4 246 37 increasing increase VBG cord-331771-fhy98qt4 246 38 the the DT cord-331771-fhy98qt4 246 39 penetration penetration NN cord-331771-fhy98qt4 246 40 of of IN cord-331771-fhy98qt4 246 41 knowledge knowledge NN cord-331771-fhy98qt4 246 42 into into IN cord-331771-fhy98qt4 246 43 rumor rumor NN cord-331771-fhy98qt4 246 44 ( ( -LRB- cord-331771-fhy98qt4 246 45 α α NN cord-331771-fhy98qt4 246 46 3 3 CD cord-331771-fhy98qt4 246 47 ) ) -RRB- cord-331771-fhy98qt4 246 48 will will MD cord-331771-fhy98qt4 246 49 decrease decrease VB cord-331771-fhy98qt4 246 50 the the DT cord-331771-fhy98qt4 246 51 density density NN cord-331771-fhy98qt4 246 52 of of IN cord-331771-fhy98qt4 246 53 the the DT cord-331771-fhy98qt4 246 54 infected infected JJ cord-331771-fhy98qt4 246 55 nodes node NNS cord-331771-fhy98qt4 246 56 . . . cord-331771-fhy98qt4 247 1 The the DT cord-331771-fhy98qt4 247 2 finding finding NN cord-331771-fhy98qt4 247 3 verifies verify VBZ cord-331771-fhy98qt4 247 4 that that IN cord-331771-fhy98qt4 247 5 the the DT cord-331771-fhy98qt4 247 6 diffusion diffusion NN cord-331771-fhy98qt4 247 7 of of IN cord-331771-fhy98qt4 247 8 knowledge knowledge NN cord-331771-fhy98qt4 247 9 helps help VBZ cord-331771-fhy98qt4 247 10 to to TO cord-331771-fhy98qt4 247 11 contain contain VB cord-331771-fhy98qt4 247 12 the the DT cord-331771-fhy98qt4 247 13 epidemic epidemic NN cord-331771-fhy98qt4 247 14 . . . cord-331771-fhy98qt4 248 1 Moreover moreover RB cord-331771-fhy98qt4 248 2 , , , cord-331771-fhy98qt4 248 3 the the DT cord-331771-fhy98qt4 248 4 numerical numerical JJ cord-331771-fhy98qt4 248 5 epidemic epidemic NN cord-331771-fhy98qt4 248 6 threshold threshold NN cord-331771-fhy98qt4 248 7 is be VBZ cord-331771-fhy98qt4 248 8 very very RB cord-331771-fhy98qt4 248 9 close close JJ cord-331771-fhy98qt4 248 10 to to IN cord-331771-fhy98qt4 248 11 the the DT cord-331771-fhy98qt4 248 12 mean mean JJ cord-331771-fhy98qt4 248 13 - - HYPH cord-331771-fhy98qt4 248 14 field field NN cord-331771-fhy98qt4 248 15 epidemic epidemic NN cord-331771-fhy98qt4 248 16 threshold threshold NN cord-331771-fhy98qt4 248 17 in in IN cord-331771-fhy98qt4 248 18 Eq Eq NNP cord-331771-fhy98qt4 248 19 . . . cord-331771-fhy98qt4 249 1 ( ( -LRB- cord-331771-fhy98qt4 249 2 13 13 CD cord-331771-fhy98qt4 249 3 ) ) -RRB- cord-331771-fhy98qt4 249 4 . . . cord-331771-fhy98qt4 250 1 As as IN cord-331771-fhy98qt4 250 2 epidemic epidemic NN cord-331771-fhy98qt4 250 3 infectivity infectivity NN cord-331771-fhy98qt4 250 4 ( ( -LRB- cord-331771-fhy98qt4 250 5 β β NN cord-331771-fhy98qt4 250 6 1 1 CD cord-331771-fhy98qt4 250 7 ) ) -RRB- cord-331771-fhy98qt4 250 8 increases increase NNS cord-331771-fhy98qt4 250 9 , , , cord-331771-fhy98qt4 250 10 a a DT cord-331771-fhy98qt4 250 11 larger large JJR cord-331771-fhy98qt4 250 12 penetration penetration NN cord-331771-fhy98qt4 250 13 intensity intensity NN cord-331771-fhy98qt4 250 14 of of IN cord-331771-fhy98qt4 250 15 knowledge knowledge NN cord-331771-fhy98qt4 250 16 into into IN cord-331771-fhy98qt4 250 17 rumor rumor NN cord-331771-fhy98qt4 250 18 ( ( -LRB- cord-331771-fhy98qt4 250 19 α α NN cord-331771-fhy98qt4 250 20 3 3 CD cord-331771-fhy98qt4 250 21 ) ) -RRB- cord-331771-fhy98qt4 250 22 is be VBZ cord-331771-fhy98qt4 250 23 required require VBN cord-331771-fhy98qt4 250 24 to to TO cord-331771-fhy98qt4 250 25 eradicate eradicate VB cord-331771-fhy98qt4 250 26 the the DT cord-331771-fhy98qt4 250 27 epidemic epidemic NN cord-331771-fhy98qt4 250 28 . . . cord-331771-fhy98qt4 251 1 The the DT cord-331771-fhy98qt4 251 2 epidemic epidemic NN cord-331771-fhy98qt4 251 3 outbreak outbreak NN cord-331771-fhy98qt4 251 4 threshold threshold NN cord-331771-fhy98qt4 251 5 indicates indicate VBZ cord-331771-fhy98qt4 251 6 that that IN cord-331771-fhy98qt4 251 7 the the DT cord-331771-fhy98qt4 251 8 epidemic epidemic NN cord-331771-fhy98qt4 251 9 infectivity infectivity NN cord-331771-fhy98qt4 251 10 ( ( -LRB- cord-331771-fhy98qt4 251 11 β β NN cord-331771-fhy98qt4 251 12 1 1 CD cord-331771-fhy98qt4 251 13 ) ) -RRB- cord-331771-fhy98qt4 251 14 can can MD cord-331771-fhy98qt4 251 15 increase increase VB cord-331771-fhy98qt4 251 16 nonlinearly nonlinearly RB cord-331771-fhy98qt4 251 17 with with IN cord-331771-fhy98qt4 251 18 the the DT cord-331771-fhy98qt4 251 19 increase increase NN cord-331771-fhy98qt4 251 20 of of IN cord-331771-fhy98qt4 251 21 α α NN cord-331771-fhy98qt4 251 22 3 3 CD cord-331771-fhy98qt4 251 23 , , , cord-331771-fhy98qt4 251 24 as as IN cord-331771-fhy98qt4 251 25 shown show VBN cord-331771-fhy98qt4 251 26 below below IN cord-331771-fhy98qt4 251 27 As as IN cord-331771-fhy98qt4 251 28 shown show VBN cord-331771-fhy98qt4 251 29 in in IN cord-331771-fhy98qt4 251 30 Fig Fig NNP cord-331771-fhy98qt4 251 31 . . . cord-331771-fhy98qt4 252 1 9 9 CD cord-331771-fhy98qt4 252 2 , , , cord-331771-fhy98qt4 252 3 in in IN cord-331771-fhy98qt4 252 4 the the DT cord-331771-fhy98qt4 252 5 case case NN cord-331771-fhy98qt4 252 6 of of IN cord-331771-fhy98qt4 252 7 imperfect imperfect JJ cord-331771-fhy98qt4 252 8 self self NN cord-331771-fhy98qt4 252 9 - - HYPH cord-331771-fhy98qt4 252 10 protection protection NN cord-331771-fhy98qt4 252 11 , , , cord-331771-fhy98qt4 252 12 improving improve VBG cord-331771-fhy98qt4 252 13 the the DT cord-331771-fhy98qt4 252 14 effectiveness effectiveness NN cord-331771-fhy98qt4 252 15 of of IN cord-331771-fhy98qt4 252 16 self self NN cord-331771-fhy98qt4 252 17 - - HYPH cord-331771-fhy98qt4 252 18 protection protection NN cord-331771-fhy98qt4 252 19 ( ( -LRB- cord-331771-fhy98qt4 252 20 i.e. i.e. FW cord-331771-fhy98qt4 252 21 , , , cord-331771-fhy98qt4 252 22 reducing reduce VBG cord-331771-fhy98qt4 252 23 β β NN cord-331771-fhy98qt4 252 24 2 2 CD cord-331771-fhy98qt4 252 25 ) ) -RRB- cord-331771-fhy98qt4 252 26 can can MD cord-331771-fhy98qt4 252 27 significantly significantly RB cord-331771-fhy98qt4 252 28 decreases decrease VBZ cord-331771-fhy98qt4 252 29 the the DT cord-331771-fhy98qt4 252 30 density density NN cord-331771-fhy98qt4 252 31 of of IN cord-331771-fhy98qt4 252 32 the the DT cord-331771-fhy98qt4 252 33 infected infected JJ cord-331771-fhy98qt4 252 34 nodes node NNS cord-331771-fhy98qt4 252 35 , , , cord-331771-fhy98qt4 252 36 but but CC cord-331771-fhy98qt4 252 37 highly highly RB cord-331771-fhy98qt4 252 38 depending depend VBG cord-331771-fhy98qt4 252 39 on on IN cord-331771-fhy98qt4 252 40 the the DT cord-331771-fhy98qt4 252 41 penetration penetration NN cord-331771-fhy98qt4 252 42 intensity intensity NN cord-331771-fhy98qt4 252 43 of of IN cord-331771-fhy98qt4 252 44 knowledge knowledge NN cord-331771-fhy98qt4 252 45 into into IN cord-331771-fhy98qt4 252 46 rumor rumor NN cord-331771-fhy98qt4 252 47 ( ( -LRB- cord-331771-fhy98qt4 252 48 α α NN cord-331771-fhy98qt4 252 49 3 3 CD cord-331771-fhy98qt4 252 50 ) ) -RRB- cord-331771-fhy98qt4 252 51 . . . cord-331771-fhy98qt4 253 1 When when WRB cord-331771-fhy98qt4 253 2 the the DT cord-331771-fhy98qt4 253 3 intensity intensity NN cord-331771-fhy98qt4 253 4 of of IN cord-331771-fhy98qt4 253 5 knowledge knowledge NN cord-331771-fhy98qt4 253 6 is be VBZ cord-331771-fhy98qt4 253 7 insufficient insufficient JJ cord-331771-fhy98qt4 253 8 to to TO cord-331771-fhy98qt4 253 9 penetrate penetrate VB cord-331771-fhy98qt4 253 10 the the DT cord-331771-fhy98qt4 253 11 rumor rumor NN cord-331771-fhy98qt4 253 12 - - HYPH cord-331771-fhy98qt4 253 13 believed believe VBN cord-331771-fhy98qt4 253 14 nodes node NNS cord-331771-fhy98qt4 253 15 ( ( -LRB- cord-331771-fhy98qt4 253 16 e.g. e.g. RB cord-331771-fhy98qt4 253 17 , , , cord-331771-fhy98qt4 253 18 α α NN cord-331771-fhy98qt4 253 19 3 3 CD cord-331771-fhy98qt4 253 20 < < XX cord-331771-fhy98qt4 253 21 0.02 0.02 CD cord-331771-fhy98qt4 253 22 ) ) -RRB- cord-331771-fhy98qt4 253 23 , , , cord-331771-fhy98qt4 253 24 reducing reduce VBG cord-331771-fhy98qt4 253 25 β β NNP cord-331771-fhy98qt4 253 26 2 2 CD cord-331771-fhy98qt4 253 27 will will MD cord-331771-fhy98qt4 253 28 not not RB cord-331771-fhy98qt4 253 29 have have VB cord-331771-fhy98qt4 253 30 much much JJ cord-331771-fhy98qt4 253 31 impact impact NN cord-331771-fhy98qt4 253 32 on on IN cord-331771-fhy98qt4 253 33 the the DT cord-331771-fhy98qt4 253 34 density density NN cord-331771-fhy98qt4 253 35 of of IN cord-331771-fhy98qt4 253 36 infected infected JJ cord-331771-fhy98qt4 253 37 nodes node NNS cord-331771-fhy98qt4 253 38 . . . cord-331771-fhy98qt4 254 1 While while IN cord-331771-fhy98qt4 254 2 α α NN cord-331771-fhy98qt4 254 3 3 3 CD cord-331771-fhy98qt4 254 4 is be VBZ cord-331771-fhy98qt4 254 5 large large JJ cord-331771-fhy98qt4 254 6 enough enough RB cord-331771-fhy98qt4 254 7 ( ( -LRB- cord-331771-fhy98qt4 254 8 e.g. e.g. RB cord-331771-fhy98qt4 254 9 , , , cord-331771-fhy98qt4 254 10 α α NN cord-331771-fhy98qt4 254 11 3 3 CD cord-331771-fhy98qt4 254 12 = = SYM cord-331771-fhy98qt4 254 13 0.08 0.08 CD cord-331771-fhy98qt4 254 14 ) ) -RRB- cord-331771-fhy98qt4 254 15 , , , cord-331771-fhy98qt4 254 16 reducing reduce VBG cord-331771-fhy98qt4 254 17 β β NN cord-331771-fhy98qt4 254 18 2 2 CD cord-331771-fhy98qt4 254 19 can can MD cord-331771-fhy98qt4 254 20 eradicate eradicate VB cord-331771-fhy98qt4 254 21 the the DT cord-331771-fhy98qt4 254 22 epidemic epidemic NN cord-331771-fhy98qt4 254 23 . . . cord-331771-fhy98qt4 255 1 Moreover moreover RB cord-331771-fhy98qt4 255 2 , , , cord-331771-fhy98qt4 255 3 the the DT cord-331771-fhy98qt4 255 4 numerical numerical JJ cord-331771-fhy98qt4 255 5 epidemic epidemic NN cord-331771-fhy98qt4 255 6 threshold threshold NN cord-331771-fhy98qt4 255 7 is be VBZ cord-331771-fhy98qt4 255 8 compared compare VBN cord-331771-fhy98qt4 255 9 with with IN cord-331771-fhy98qt4 255 10 the the DT cord-331771-fhy98qt4 255 11 meanfield meanfield NNS cord-331771-fhy98qt4 255 12 epidemic epidemic NN cord-331771-fhy98qt4 255 13 threshold threshold NN cord-331771-fhy98qt4 255 14 in in IN cord-331771-fhy98qt4 255 15 Eq Eq NNP cord-331771-fhy98qt4 255 16 . . . cord-331771-fhy98qt4 256 1 ( ( -LRB- cord-331771-fhy98qt4 256 2 13 13 CD cord-331771-fhy98qt4 256 3 ) ) -RRB- cord-331771-fhy98qt4 256 4 . . . cord-331771-fhy98qt4 257 1 With with IN cord-331771-fhy98qt4 257 2 the the DT cord-331771-fhy98qt4 257 3 increase increase NN cord-331771-fhy98qt4 257 4 of of IN cord-331771-fhy98qt4 257 5 the the DT cord-331771-fhy98qt4 257 6 penetration penetration NN cord-331771-fhy98qt4 257 7 intensity intensity NN cord-331771-fhy98qt4 257 8 of of IN cord-331771-fhy98qt4 257 9 knowledge knowledge NN cord-331771-fhy98qt4 257 10 into into IN cord-331771-fhy98qt4 257 11 rumor rumor NN cord-331771-fhy98qt4 257 12 ( ( -LRB- cord-331771-fhy98qt4 257 13 α α NN cord-331771-fhy98qt4 257 14 3 3 CD cord-331771-fhy98qt4 257 15 ) ) -RRB- cord-331771-fhy98qt4 257 16 , , , cord-331771-fhy98qt4 257 17 a a DT cord-331771-fhy98qt4 257 18 less less RBR cord-331771-fhy98qt4 257 19 effective effective JJ cord-331771-fhy98qt4 257 20 self self NN cord-331771-fhy98qt4 257 21 - - HYPH cord-331771-fhy98qt4 257 22 protection protection NN cord-331771-fhy98qt4 257 23 , , , cord-331771-fhy98qt4 257 24 namely namely RB cord-331771-fhy98qt4 257 25 a a DT cord-331771-fhy98qt4 257 26 larger large JJR cord-331771-fhy98qt4 257 27 β β NN cord-331771-fhy98qt4 257 28 2 2 CD cord-331771-fhy98qt4 257 29 , , , cord-331771-fhy98qt4 257 30 can can MD cord-331771-fhy98qt4 257 31 be be VB cord-331771-fhy98qt4 257 32 enough enough JJ cord-331771-fhy98qt4 257 33 to to TO cord-331771-fhy98qt4 257 34 eradicate eradicate VB cord-331771-fhy98qt4 257 35 the the DT cord-331771-fhy98qt4 257 36 epidemic epidemic NN cord-331771-fhy98qt4 257 37 . . . cord-331771-fhy98qt4 258 1 The the DT cord-331771-fhy98qt4 258 2 epidemic epidemic NN cord-331771-fhy98qt4 258 3 outbreak outbreak NN cord-331771-fhy98qt4 258 4 threshold threshold NN cord-331771-fhy98qt4 258 5 indicates indicate VBZ cord-331771-fhy98qt4 258 6 that that IN cord-331771-fhy98qt4 258 7 β β NN cord-331771-fhy98qt4 258 8 2 2 CD cord-331771-fhy98qt4 258 9 can can MD cord-331771-fhy98qt4 258 10 increase increase VB cord-331771-fhy98qt4 258 11 nonlinearly nonlinearly RB cord-331771-fhy98qt4 258 12 with with IN cord-331771-fhy98qt4 258 13 the the DT cord-331771-fhy98qt4 258 14 increase increase NN cord-331771-fhy98qt4 258 15 of of IN cord-331771-fhy98qt4 258 16 α α NN cord-331771-fhy98qt4 258 17 3 3 CD cord-331771-fhy98qt4 258 18 , , , cord-331771-fhy98qt4 258 19 as as IN cord-331771-fhy98qt4 258 20 shown show VBN cord-331771-fhy98qt4 258 21 below below IN cord-331771-fhy98qt4 258 22 _SP cord-331771-fhy98qt4 259 1 It -PRON- PRP cord-331771-fhy98qt4 259 2 can can MD cord-331771-fhy98qt4 259 3 be be VB cord-331771-fhy98qt4 259 4 seen see VBN cord-331771-fhy98qt4 259 5 from from IN cord-331771-fhy98qt4 259 6 the the DT cord-331771-fhy98qt4 259 7 above above JJ cord-331771-fhy98qt4 259 8 results result NNS cord-331771-fhy98qt4 259 9 that that IN cord-331771-fhy98qt4 259 10 information information NN cord-331771-fhy98qt4 259 11 diffusion diffusion NN cord-331771-fhy98qt4 259 12 has have VBZ cord-331771-fhy98qt4 259 13 significant significant JJ cord-331771-fhy98qt4 259 14 influence influence NN cord-331771-fhy98qt4 259 15 on on IN cord-331771-fhy98qt4 259 16 the the DT cord-331771-fhy98qt4 259 17 epidemic epidemic NN cord-331771-fhy98qt4 259 18 spreading spread VBG cord-331771-fhy98qt4 259 19 . . . cord-331771-fhy98qt4 260 1 As as IN cord-331771-fhy98qt4 260 2 knowledge knowledge NN cord-331771-fhy98qt4 260 3 becomes become VBZ cord-331771-fhy98qt4 260 4 more more RBR cord-331771-fhy98qt4 260 5 " " `` cord-331771-fhy98qt4 260 6 penetrating penetrating JJ cord-331771-fhy98qt4 260 7 " " '' cord-331771-fhy98qt4 260 8 into into IN cord-331771-fhy98qt4 260 9 rumor rumor NN cord-331771-fhy98qt4 260 10 , , , cord-331771-fhy98qt4 260 11 rumor rumor NN cord-331771-fhy98qt4 260 12 and and CC cord-331771-fhy98qt4 260 13 epidemic epidemic NN cord-331771-fhy98qt4 260 14 are be VBP cord-331771-fhy98qt4 260 15 more more RBR cord-331771-fhy98qt4 260 16 likely likely JJ cord-331771-fhy98qt4 260 17 to to TO cord-331771-fhy98qt4 260 18 be be VB cord-331771-fhy98qt4 260 19 eradicated eradicate VBN cord-331771-fhy98qt4 260 20 . . . cord-331771-fhy98qt4 261 1 Moreover moreover RB cord-331771-fhy98qt4 261 2 , , , cord-331771-fhy98qt4 261 3 based base VBN cord-331771-fhy98qt4 261 4 on on IN cord-331771-fhy98qt4 261 5 the the DT cord-331771-fhy98qt4 261 6 outbreak outbreak NN cord-331771-fhy98qt4 261 7 thresholds threshold NNS cord-331771-fhy98qt4 261 8 in in IN cord-331771-fhy98qt4 261 9 the the DT cord-331771-fhy98qt4 261 10 communication communication NN cord-331771-fhy98qt4 261 11 - - HYPH cord-331771-fhy98qt4 261 12 layer layer NN cord-331771-fhy98qt4 261 13 network network NN cord-331771-fhy98qt4 261 14 , , , cord-331771-fhy98qt4 261 15 information information NN cord-331771-fhy98qt4 261 16 diffusion diffusion NN cord-331771-fhy98qt4 261 17 can can MD cord-331771-fhy98qt4 261 18 be be VB cord-331771-fhy98qt4 261 19 divided divide VBN cord-331771-fhy98qt4 261 20 into into IN cord-331771-fhy98qt4 261 21 three three CD cord-331771-fhy98qt4 261 22 phases phase NNS cord-331771-fhy98qt4 261 23 . . . cord-331771-fhy98qt4 262 1 In in IN cord-331771-fhy98qt4 262 2 this this DT cord-331771-fhy98qt4 262 3 section section NN cord-331771-fhy98qt4 262 4 , , , cord-331771-fhy98qt4 262 5 we -PRON- PRP cord-331771-fhy98qt4 262 6 try try VBP cord-331771-fhy98qt4 262 7 to to TO cord-331771-fhy98qt4 262 8 explore explore VB cord-331771-fhy98qt4 262 9 the the DT cord-331771-fhy98qt4 262 10 phase phase NN cord-331771-fhy98qt4 262 11 diagram diagram NN cord-331771-fhy98qt4 262 12 of of IN cord-331771-fhy98qt4 262 13 the the DT cord-331771-fhy98qt4 262 14 whole whole JJ cord-331771-fhy98qt4 262 15 two two CD cord-331771-fhy98qt4 262 16 - - HYPH cord-331771-fhy98qt4 262 17 layer layer NN cord-331771-fhy98qt4 262 18 system system NN cord-331771-fhy98qt4 262 19 based base VBN cord-331771-fhy98qt4 262 20 on on IN cord-331771-fhy98qt4 262 21 the the DT cord-331771-fhy98qt4 262 22 outbreak outbreak NN cord-331771-fhy98qt4 262 23 thresholds threshold NNS cord-331771-fhy98qt4 262 24 in in IN cord-331771-fhy98qt4 262 25 both both DT cord-331771-fhy98qt4 262 26 layers layer NNS cord-331771-fhy98qt4 262 27 . . . cord-331771-fhy98qt4 263 1 As as IN cord-331771-fhy98qt4 263 2 shown show VBN cord-331771-fhy98qt4 263 3 in in IN cord-331771-fhy98qt4 263 4 Fig Fig NNP cord-331771-fhy98qt4 263 5 . . . cord-331771-fhy98qt4 264 1 10 10 CD cord-331771-fhy98qt4 264 2 , , , cord-331771-fhy98qt4 264 3 the the DT cord-331771-fhy98qt4 264 4 two two CD cord-331771-fhy98qt4 264 5 - - HYPH cord-331771-fhy98qt4 264 6 layer layer NN cord-331771-fhy98qt4 264 7 system system NN cord-331771-fhy98qt4 264 8 can can MD cord-331771-fhy98qt4 264 9 be be VB cord-331771-fhy98qt4 264 10 divided divide VBN cord-331771-fhy98qt4 264 11 into into IN cord-331771-fhy98qt4 264 12 five five CD cord-331771-fhy98qt4 264 13 phases phase NNS cord-331771-fhy98qt4 264 14 by by IN cord-331771-fhy98qt4 264 15 α α NN cord-331771-fhy98qt4 264 16 3 3 CD cord-331771-fhy98qt4 264 17 − − NN cord-331771-fhy98qt4 264 18 β β NN cord-331771-fhy98qt4 264 19 2 2 CD cord-331771-fhy98qt4 264 20 . . . cord-331771-fhy98qt4 265 1 First first RB cord-331771-fhy98qt4 265 2 , , , cord-331771-fhy98qt4 265 3 information information NN cord-331771-fhy98qt4 265 4 diffusion diffusion NN cord-331771-fhy98qt4 265 5 can can MD cord-331771-fhy98qt4 265 6 be be VB cord-331771-fhy98qt4 265 7 divided divide VBN cord-331771-fhy98qt4 265 8 into into IN cord-331771-fhy98qt4 265 9 three three CD cord-331771-fhy98qt4 265 10 phases phase NNS cord-331771-fhy98qt4 265 11 : : : cord-331771-fhy98qt4 265 12 " " `` cord-331771-fhy98qt4 265 13 No no DT cord-331771-fhy98qt4 265 14 knowledge knowledge NN cord-331771-fhy98qt4 265 15 " " '' cord-331771-fhy98qt4 265 16 , , , cord-331771-fhy98qt4 265 17 " " `` cord-331771-fhy98qt4 265 18 Rumor rumor NN cord-331771-fhy98qt4 265 19 vs. vs. IN cord-331771-fhy98qt4 265 20 knowledge knowledge NN cord-331771-fhy98qt4 265 21 " " '' cord-331771-fhy98qt4 265 22 , , , cord-331771-fhy98qt4 265 23 and and CC cord-331771-fhy98qt4 265 24 " " `` cord-331771-fhy98qt4 265 25 No no DT cord-331771-fhy98qt4 265 26 rumor rumor NN cord-331771-fhy98qt4 265 27 " " '' cord-331771-fhy98qt4 265 28 . . . cord-331771-fhy98qt4 266 1 Second second JJ cord-331771-fhy98qt4 266 2 , , , cord-331771-fhy98qt4 266 3 epidemic epidemic NN cord-331771-fhy98qt4 266 4 spreading spreading NN cord-331771-fhy98qt4 266 5 can can MD cord-331771-fhy98qt4 266 6 be be VB cord-331771-fhy98qt4 266 7 Therefore therefore RB cord-331771-fhy98qt4 266 8 , , , cord-331771-fhy98qt4 266 9 it -PRON- PRP cord-331771-fhy98qt4 266 10 is be VBZ cord-331771-fhy98qt4 266 11 not not RB cord-331771-fhy98qt4 266 12 necessary necessary JJ cord-331771-fhy98qt4 266 13 to to TO cord-331771-fhy98qt4 266 14 equate equate VB cord-331771-fhy98qt4 266 15 rumor rumor NN cord-331771-fhy98qt4 266 16 eradication eradication NN cord-331771-fhy98qt4 266 17 with with IN cord-331771-fhy98qt4 266 18 epidemic epidemic NN cord-331771-fhy98qt4 266 19 eradication eradication NN cord-331771-fhy98qt4 266 20 . . . cord-331771-fhy98qt4 267 1 When when WRB cord-331771-fhy98qt4 267 2 rumor rumor NN cord-331771-fhy98qt4 267 3 can can MD cord-331771-fhy98qt4 267 4 not not RB cord-331771-fhy98qt4 267 5 be be VB cord-331771-fhy98qt4 267 6 eradicated eradicate VBN cord-331771-fhy98qt4 267 7 , , , cord-331771-fhy98qt4 267 8 the the DT cord-331771-fhy98qt4 267 9 epidemic epidemic NN cord-331771-fhy98qt4 267 10 can can MD cord-331771-fhy98qt4 267 11 also also RB cord-331771-fhy98qt4 267 12 be be VB cord-331771-fhy98qt4 267 13 eradicated eradicate VBN cord-331771-fhy98qt4 267 14 by by IN cord-331771-fhy98qt4 267 15 the the DT cord-331771-fhy98qt4 267 16 spread spread NN cord-331771-fhy98qt4 267 17 of of IN cord-331771-fhy98qt4 267 18 knowledge knowledge NN cord-331771-fhy98qt4 267 19 . . . cord-331771-fhy98qt4 268 1 When when WRB cord-331771-fhy98qt4 268 2 rumor rumor NN cord-331771-fhy98qt4 268 3 can can MD cord-331771-fhy98qt4 268 4 be be VB cord-331771-fhy98qt4 268 5 eradicated eradicate VBN cord-331771-fhy98qt4 268 6 , , , cord-331771-fhy98qt4 268 7 the the DT cord-331771-fhy98qt4 268 8 epidemic epidemic NN cord-331771-fhy98qt4 268 9 may may MD cord-331771-fhy98qt4 268 10 be be VB cord-331771-fhy98qt4 268 11 uneradicated uneradicate VBN cord-331771-fhy98qt4 268 12 when when WRB cord-331771-fhy98qt4 268 13 the the DT cord-331771-fhy98qt4 268 14 effectiveness effectiveness NN cord-331771-fhy98qt4 268 15 of of IN cord-331771-fhy98qt4 268 16 self self NN cord-331771-fhy98qt4 268 17 - - HYPH cord-331771-fhy98qt4 268 18 protection protection NN cord-331771-fhy98qt4 268 19 is be VBZ cord-331771-fhy98qt4 268 20 very very RB cord-331771-fhy98qt4 268 21 low low JJ cord-331771-fhy98qt4 268 22 . . . cord-331771-fhy98qt4 269 1 Moreover moreover RB cord-331771-fhy98qt4 269 2 , , , cord-331771-fhy98qt4 269 3 the the DT cord-331771-fhy98qt4 269 4 adjacent adjacent JJ cord-331771-fhy98qt4 269 5 phases phase NNS cord-331771-fhy98qt4 269 6 are be VBP cord-331771-fhy98qt4 269 7 interconvertible interconvertible JJ cord-331771-fhy98qt4 269 8 . . . cord-331771-fhy98qt4 270 1 For for IN cord-331771-fhy98qt4 270 2 example example NN cord-331771-fhy98qt4 270 3 , , , cord-331771-fhy98qt4 270 4 the the DT cord-331771-fhy98qt4 270 5 " " `` cord-331771-fhy98qt4 270 6 Rumor rumor NN cord-331771-fhy98qt4 270 7 vs. vs. IN cord-331771-fhy98qt4 270 8 knowledge knowledge NN cord-331771-fhy98qt4 270 9 & & CC cord-331771-fhy98qt4 270 10 No no DT cord-331771-fhy98qt4 270 11 epidemic epidemic NN cord-331771-fhy98qt4 270 12 " " `` cord-331771-fhy98qt4 270 13 phase phase NN cord-331771-fhy98qt4 270 14 can can MD cord-331771-fhy98qt4 270 15 convert convert VB cord-331771-fhy98qt4 270 16 to to IN cord-331771-fhy98qt4 270 17 the the DT cord-331771-fhy98qt4 270 18 " " `` cord-331771-fhy98qt4 270 19 No no DT cord-331771-fhy98qt4 270 20 rumor rumor NN cord-331771-fhy98qt4 270 21 & & CC cord-331771-fhy98qt4 270 22 No no DT cord-331771-fhy98qt4 270 23 epidemic epidemic NN cord-331771-fhy98qt4 270 24 " " `` cord-331771-fhy98qt4 270 25 phase phase NN cord-331771-fhy98qt4 270 26 with with IN cord-331771-fhy98qt4 270 27 the the DT cord-331771-fhy98qt4 270 28 increase increase NN cord-331771-fhy98qt4 270 29 of of IN cord-331771-fhy98qt4 270 30 α α NN cord-331771-fhy98qt4 270 31 3 3 CD cord-331771-fhy98qt4 270 32 , , , cord-331771-fhy98qt4 270 33 and and CC cord-331771-fhy98qt4 270 34 can can MD cord-331771-fhy98qt4 270 35 convert convert VB cord-331771-fhy98qt4 270 36 to to IN cord-331771-fhy98qt4 270 37 the the DT cord-331771-fhy98qt4 270 38 " " `` cord-331771-fhy98qt4 270 39 Rumor rumor NN cord-331771-fhy98qt4 270 40 vs. vs. IN cord-331771-fhy98qt4 270 41 knowledge knowledge NN cord-331771-fhy98qt4 270 42 & & CC cord-331771-fhy98qt4 270 43 Epidemic Epidemic NNP cord-331771-fhy98qt4 270 44 outbreak outbreak NN cord-331771-fhy98qt4 270 45 " " '' cord-331771-fhy98qt4 270 46 phase phase NN cord-331771-fhy98qt4 270 47 with with IN cord-331771-fhy98qt4 270 48 the the DT cord-331771-fhy98qt4 270 49 increase increase NN cord-331771-fhy98qt4 270 50 of of IN cord-331771-fhy98qt4 270 51 β β NN cord-331771-fhy98qt4 270 52 2 2 CD cord-331771-fhy98qt4 270 53 . . . cord-331771-fhy98qt4 271 1 Based base VBN cord-331771-fhy98qt4 271 2 on on IN cord-331771-fhy98qt4 271 3 the the DT cord-331771-fhy98qt4 271 4 phase phase NN cord-331771-fhy98qt4 271 5 diagram diagram NN cord-331771-fhy98qt4 271 6 , , , cord-331771-fhy98qt4 271 7 it -PRON- PRP cord-331771-fhy98qt4 271 8 is be VBZ cord-331771-fhy98qt4 271 9 possible possible JJ cord-331771-fhy98qt4 271 10 to to TO cord-331771-fhy98qt4 271 11 find find VB cord-331771-fhy98qt4 271 12 an an DT cord-331771-fhy98qt4 271 13 optimal optimal JJ cord-331771-fhy98qt4 271 14 strategy strategy NN cord-331771-fhy98qt4 271 15 to to TO cord-331771-fhy98qt4 271 16 contain contain VB cord-331771-fhy98qt4 271 17 rumor rumor NN cord-331771-fhy98qt4 271 18 or or CC cord-331771-fhy98qt4 271 19 epidemic epidemic NN cord-331771-fhy98qt4 271 20 . . . cord-331771-fhy98qt4 272 1 For for IN cord-331771-fhy98qt4 272 2 example example NN cord-331771-fhy98qt4 272 3 , , , cord-331771-fhy98qt4 272 4 if if IN cord-331771-fhy98qt4 272 5 the the DT cord-331771-fhy98qt4 272 6 two two CD cord-331771-fhy98qt4 272 7 - - HYPH cord-331771-fhy98qt4 272 8 layer layer NN cord-331771-fhy98qt4 272 9 system system NN cord-331771-fhy98qt4 272 10 is be VBZ cord-331771-fhy98qt4 272 11 in in IN cord-331771-fhy98qt4 272 12 the the DT cord-331771-fhy98qt4 272 13 " " `` cord-331771-fhy98qt4 272 14 Rumor rumor NN cord-331771-fhy98qt4 272 15 vs. vs. IN cord-331771-fhy98qt4 272 16 knowledge knowledge NN cord-331771-fhy98qt4 272 17 & & CC cord-331771-fhy98qt4 272 18 Epidemic Epidemic NNP cord-331771-fhy98qt4 272 19 outbreak outbreak NN cord-331771-fhy98qt4 272 20 " " '' cord-331771-fhy98qt4 272 21 phase phase NN cord-331771-fhy98qt4 272 22 ( ( -LRB- cord-331771-fhy98qt4 272 23 Phase Phase NNP cord-331771-fhy98qt4 272 24 II ii CD cord-331771-fhy98qt4 272 25 ) ) -RRB- cord-331771-fhy98qt4 272 26 , , , cord-331771-fhy98qt4 272 27 the the DT cord-331771-fhy98qt4 272 28 optimal optimal JJ cord-331771-fhy98qt4 272 29 strategy strategy NN cord-331771-fhy98qt4 272 30 of of IN cord-331771-fhy98qt4 272 31 containing contain VBG cord-331771-fhy98qt4 272 32 the the DT cord-331771-fhy98qt4 272 33 epidemic epidemic NN cord-331771-fhy98qt4 272 34 is be VBZ cord-331771-fhy98qt4 272 35 to to TO cord-331771-fhy98qt4 272 36 develop develop VB cord-331771-fhy98qt4 272 37 an an DT cord-331771-fhy98qt4 272 38 effective effective JJ cord-331771-fhy98qt4 272 39 self self NN cord-331771-fhy98qt4 272 40 - - HYPH cord-331771-fhy98qt4 272 41 protective protective JJ cord-331771-fhy98qt4 272 42 measure measure NN cord-331771-fhy98qt4 272 43 to to TO cord-331771-fhy98qt4 272 44 reduce reduce VB cord-331771-fhy98qt4 272 45 β β NN cord-331771-fhy98qt4 272 46 2 2 CD cord-331771-fhy98qt4 272 47 . . . cord-331771-fhy98qt4 273 1 The the DT cord-331771-fhy98qt4 273 2 network network NN cord-331771-fhy98qt4 273 3 structure structure NN cord-331771-fhy98qt4 273 4 highly highly RB cord-331771-fhy98qt4 273 5 affects affect VBZ cord-331771-fhy98qt4 273 6 the the DT cord-331771-fhy98qt4 273 7 outbreak outbreak NN cord-331771-fhy98qt4 273 8 size size NN cord-331771-fhy98qt4 273 9 and and CC cord-331771-fhy98qt4 273 10 threshold threshold NN cord-331771-fhy98qt4 273 11 of of IN cord-331771-fhy98qt4 273 12 the the DT cord-331771-fhy98qt4 273 13 spreading spread VBG cord-331771-fhy98qt4 273 14 dynamics dynamic NNS cord-331771-fhy98qt4 273 15 [ [ -LRB- cord-331771-fhy98qt4 273 16 60 60 CD cord-331771-fhy98qt4 273 17 , , , cord-331771-fhy98qt4 273 18 61 61 CD cord-331771-fhy98qt4 273 19 ] ] -RRB- cord-331771-fhy98qt4 273 20 . . . cord-331771-fhy98qt4 274 1 In in IN cord-331771-fhy98qt4 274 2 a a DT cord-331771-fhy98qt4 274 3 two two CD cord-331771-fhy98qt4 274 4 - - HYPH cord-331771-fhy98qt4 274 5 layer layer NN cord-331771-fhy98qt4 274 6 network network NN cord-331771-fhy98qt4 274 7 , , , cord-331771-fhy98qt4 274 8 the the DT cord-331771-fhy98qt4 274 9 overlap overlap NN cord-331771-fhy98qt4 274 10 of of IN cord-331771-fhy98qt4 274 11 the the DT cord-331771-fhy98qt4 274 12 two two CD cord-331771-fhy98qt4 274 13 layers layer NNS cord-331771-fhy98qt4 274 14 is be VBZ cord-331771-fhy98qt4 274 15 also also RB cord-331771-fhy98qt4 274 16 important important JJ cord-331771-fhy98qt4 274 17 for for IN cord-331771-fhy98qt4 274 18 the the DT cord-331771-fhy98qt4 274 19 spreading spread VBG cord-331771-fhy98qt4 274 20 dynamics dynamic NNS cord-331771-fhy98qt4 274 21 [ [ -LRB- cord-331771-fhy98qt4 274 22 37 37 CD cord-331771-fhy98qt4 274 23 ] ] -RRB- cord-331771-fhy98qt4 274 24 . . . cord-331771-fhy98qt4 275 1 This this DT cord-331771-fhy98qt4 275 2 research research NN cord-331771-fhy98qt4 275 3 assumes assume VBZ cord-331771-fhy98qt4 275 4 that that IN cord-331771-fhy98qt4 275 5 the the DT cord-331771-fhy98qt4 275 6 communication communication NN cord-331771-fhy98qt4 275 7 - - HYPH cord-331771-fhy98qt4 275 8 layer layer NN cord-331771-fhy98qt4 275 9 network network NN cord-331771-fhy98qt4 275 10 is be VBZ cord-331771-fhy98qt4 275 11 an an DT cord-331771-fhy98qt4 275 12 extension extension NN cord-331771-fhy98qt4 275 13 of of IN cord-331771-fhy98qt4 275 14 the the DT cord-331771-fhy98qt4 275 15 contact contact NN cord-331771-fhy98qt4 275 16 - - HYPH cord-331771-fhy98qt4 275 17 layer layer NN cord-331771-fhy98qt4 275 18 network network NN cord-331771-fhy98qt4 275 19 . . . cord-331771-fhy98qt4 276 1 In in IN cord-331771-fhy98qt4 276 2 the the DT cord-331771-fhy98qt4 276 3 information information NN cord-331771-fhy98qt4 276 4 age age NN cord-331771-fhy98qt4 276 5 , , , cord-331771-fhy98qt4 276 6 the the DT cord-331771-fhy98qt4 276 7 cost cost NN cord-331771-fhy98qt4 276 8 of of IN cord-331771-fhy98qt4 276 9 communication communication NN cord-331771-fhy98qt4 276 10 is be VBZ cord-331771-fhy98qt4 276 11 greatly greatly RB cord-331771-fhy98qt4 276 12 reduced reduce VBN cord-331771-fhy98qt4 276 13 , , , cord-331771-fhy98qt4 276 14 and and CC cord-331771-fhy98qt4 276 15 it -PRON- PRP cord-331771-fhy98qt4 276 16 becomes become VBZ cord-331771-fhy98qt4 276 17 easier easy JJR cord-331771-fhy98qt4 276 18 to to TO cord-331771-fhy98qt4 276 19 extend extend VB cord-331771-fhy98qt4 276 20 the the DT cord-331771-fhy98qt4 276 21 communication communication NN cord-331771-fhy98qt4 276 22 - - HYPH cord-331771-fhy98qt4 276 23 layer layer NN cord-331771-fhy98qt4 276 24 network network NN cord-331771-fhy98qt4 276 25 . . . cord-331771-fhy98qt4 277 1 It -PRON- PRP cord-331771-fhy98qt4 277 2 is be VBZ cord-331771-fhy98qt4 277 3 interesting interesting JJ cord-331771-fhy98qt4 277 4 to to TO cord-331771-fhy98qt4 277 5 know know VB cord-331771-fhy98qt4 277 6 whether whether IN cord-331771-fhy98qt4 277 7 the the DT cord-331771-fhy98qt4 277 8 extension extension NN cord-331771-fhy98qt4 277 9 of of IN cord-331771-fhy98qt4 277 10 the the DT cord-331771-fhy98qt4 277 11 communication communication NN cord-331771-fhy98qt4 277 12 - - HYPH cord-331771-fhy98qt4 277 13 layer layer NN cord-331771-fhy98qt4 277 14 network network NN cord-331771-fhy98qt4 277 15 helps help VBZ cord-331771-fhy98qt4 277 16 to to TO cord-331771-fhy98qt4 277 17 contain contain VB cord-331771-fhy98qt4 277 18 rumor rumor NN cord-331771-fhy98qt4 277 19 and and CC cord-331771-fhy98qt4 277 20 epidemic epidemic NN cord-331771-fhy98qt4 277 21 . . . cord-331771-fhy98qt4 278 1 Therefore therefore RB cord-331771-fhy98qt4 278 2 , , , cord-331771-fhy98qt4 278 3 in in IN cord-331771-fhy98qt4 278 4 this this DT cord-331771-fhy98qt4 278 5 section section NN cord-331771-fhy98qt4 278 6 , , , cord-331771-fhy98qt4 278 7 we -PRON- PRP cord-331771-fhy98qt4 278 8 try try VBP cord-331771-fhy98qt4 278 9 to to TO cord-331771-fhy98qt4 278 10 explore explore VB cord-331771-fhy98qt4 278 11 the the DT cord-331771-fhy98qt4 278 12 evolution evolution NN cord-331771-fhy98qt4 278 13 of of IN cord-331771-fhy98qt4 278 14 the the DT cord-331771-fhy98qt4 278 15 rumor rumor NN cord-331771-fhy98qt4 278 16 - - HYPH cord-331771-fhy98qt4 278 17 believed believe VBN cord-331771-fhy98qt4 278 18 density density NN cord-331771-fhy98qt4 278 19 and and CC cord-331771-fhy98qt4 278 20 the the DT cord-331771-fhy98qt4 278 21 infected infected JJ cord-331771-fhy98qt4 278 22 density density NN cord-331771-fhy98qt4 278 23 with with IN cord-331771-fhy98qt4 278 24 the the DT cord-331771-fhy98qt4 278 25 change change NN cord-331771-fhy98qt4 278 26 of of IN cord-331771-fhy98qt4 278 27 average average JJ cord-331771-fhy98qt4 278 28 node node NN cord-331771-fhy98qt4 278 29 degree degree NN cord-331771-fhy98qt4 278 30 k k NN cord-331771-fhy98qt4 278 31 in in IN cord-331771-fhy98qt4 278 32 the the DT cord-331771-fhy98qt4 278 33 communication communication NN cord-331771-fhy98qt4 278 34 - - HYPH cord-331771-fhy98qt4 278 35 layer layer NN cord-331771-fhy98qt4 278 36 network network NN cord-331771-fhy98qt4 278 37 . . . cord-331771-fhy98qt4 279 1 As as IN cord-331771-fhy98qt4 279 2 shown show VBN cord-331771-fhy98qt4 279 3 in in IN cord-331771-fhy98qt4 279 4 Fig Fig NNP cord-331771-fhy98qt4 279 5 . . . cord-331771-fhy98qt4 280 1 11 11 CD cord-331771-fhy98qt4 280 2 , , , cord-331771-fhy98qt4 280 3 when when WRB cord-331771-fhy98qt4 280 4 k k NN cord-331771-fhy98qt4 280 5 increases increase VBZ cord-331771-fhy98qt4 280 6 from from IN cord-331771-fhy98qt4 280 7 0 0 CD cord-331771-fhy98qt4 280 8 to to IN cord-331771-fhy98qt4 280 9 12 12 CD cord-331771-fhy98qt4 280 10 , , , cord-331771-fhy98qt4 280 11 the the DT cord-331771-fhy98qt4 280 12 rumor rumor NN cord-331771-fhy98qt4 280 13 - - HYPH cord-331771-fhy98qt4 280 14 believed believe VBN cord-331771-fhy98qt4 280 15 density density NN cord-331771-fhy98qt4 280 16 will will MD cord-331771-fhy98qt4 280 17 increase increase VB cord-331771-fhy98qt4 280 18 first first RB cord-331771-fhy98qt4 280 19 and and CC cord-331771-fhy98qt4 280 20 then then RB cord-331771-fhy98qt4 280 21 decrease decrease VB cord-331771-fhy98qt4 280 22 , , , cord-331771-fhy98qt4 280 23 while while IN cord-331771-fhy98qt4 280 24 the the DT cord-331771-fhy98qt4 280 25 knowledge knowledge NN cord-331771-fhy98qt4 280 26 - - HYPH cord-331771-fhy98qt4 280 27 believed believe VBN cord-331771-fhy98qt4 280 28 density density NN cord-331771-fhy98qt4 280 29 will will MD cord-331771-fhy98qt4 280 30 increase increase VB cord-331771-fhy98qt4 280 31 monotonically monotonically RB cord-331771-fhy98qt4 280 32 . . . cord-331771-fhy98qt4 281 1 Obviously obviously RB cord-331771-fhy98qt4 281 2 , , , cord-331771-fhy98qt4 281 3 rumor rumor NN cord-331771-fhy98qt4 281 4 is be VBZ cord-331771-fhy98qt4 281 5 more more RBR cord-331771-fhy98qt4 281 6 likely likely JJ cord-331771-fhy98qt4 281 7 to to TO cord-331771-fhy98qt4 281 8 break break VB cord-331771-fhy98qt4 281 9 out out RP cord-331771-fhy98qt4 281 10 in in IN cord-331771-fhy98qt4 281 11 a a DT cord-331771-fhy98qt4 281 12 sparse sparse JJ cord-331771-fhy98qt4 281 13 network network NN cord-331771-fhy98qt4 281 14 than than IN cord-331771-fhy98qt4 281 15 knowledge knowledge NN cord-331771-fhy98qt4 281 16 because because IN cord-331771-fhy98qt4 281 17 rumor rumor NN cord-331771-fhy98qt4 281 18 infectivity infectivity NN cord-331771-fhy98qt4 281 19 ( ( -LRB- cord-331771-fhy98qt4 281 20 α α NN cord-331771-fhy98qt4 281 21 1 1 CD cord-331771-fhy98qt4 281 22 ) ) -RRB- cord-331771-fhy98qt4 281 23 is be VBZ cord-331771-fhy98qt4 281 24 much much RB cord-331771-fhy98qt4 281 25 larger large JJR cord-331771-fhy98qt4 281 26 than than IN cord-331771-fhy98qt4 281 27 knowledge knowledge NN cord-331771-fhy98qt4 281 28 infectivity infectivity NN cord-331771-fhy98qt4 281 29 ( ( -LRB- cord-331771-fhy98qt4 281 30 α α NN cord-331771-fhy98qt4 281 31 2 2 CD cord-331771-fhy98qt4 281 32 ) ) -RRB- cord-331771-fhy98qt4 281 33 . . . cord-331771-fhy98qt4 282 1 However however RB cord-331771-fhy98qt4 282 2 , , , cord-331771-fhy98qt4 282 3 when when WRB cord-331771-fhy98qt4 282 4 knowledge knowledge NN cord-331771-fhy98qt4 282 5 starts start VBZ cord-331771-fhy98qt4 282 6 to to TO cord-331771-fhy98qt4 282 7 break break VB cord-331771-fhy98qt4 282 8 out out RP cord-331771-fhy98qt4 282 9 ( ( -LRB- cord-331771-fhy98qt4 282 10 e.g. e.g. RB cord-331771-fhy98qt4 282 11 , , , cord-331771-fhy98qt4 282 12 k k NN cord-331771-fhy98qt4 282 13 = = SYM cord-331771-fhy98qt4 282 14 3 3 CD cord-331771-fhy98qt4 282 15 ) ) -RRB- cord-331771-fhy98qt4 282 16 , , , cord-331771-fhy98qt4 282 17 rumor rumor NN cord-331771-fhy98qt4 282 18 will will MD cord-331771-fhy98qt4 282 19 be be VB cord-331771-fhy98qt4 282 20 confined confine VBN cord-331771-fhy98qt4 282 21 immediately immediately RB cord-331771-fhy98qt4 282 22 and and CC cord-331771-fhy98qt4 282 23 the the DT cord-331771-fhy98qt4 282 24 rumor rumor NN cord-331771-fhy98qt4 282 25 - - HYPH cord-331771-fhy98qt4 282 26 believed believe VBN cord-331771-fhy98qt4 282 27 density density NN cord-331771-fhy98qt4 282 28 will will MD cord-331771-fhy98qt4 282 29 begin begin VB cord-331771-fhy98qt4 282 30 to to TO cord-331771-fhy98qt4 282 31 decrease decrease VB cord-331771-fhy98qt4 282 32 . . . cord-331771-fhy98qt4 283 1 It -PRON- PRP cord-331771-fhy98qt4 283 2 should should MD cord-331771-fhy98qt4 283 3 be be VB cord-331771-fhy98qt4 283 4 noted note VBN cord-331771-fhy98qt4 283 5 that that IN cord-331771-fhy98qt4 283 6 a a DT cord-331771-fhy98qt4 283 7 higher high JJR cord-331771-fhy98qt4 283 8 penetration penetration NN cord-331771-fhy98qt4 283 9 of of IN cord-331771-fhy98qt4 283 10 knowledge knowledge NN cord-331771-fhy98qt4 283 11 into into IN cord-331771-fhy98qt4 283 12 rumor rumor NN cord-331771-fhy98qt4 283 13 helps help VBZ cord-331771-fhy98qt4 283 14 knowledge knowledge NN cord-331771-fhy98qt4 283 15 to to TO cord-331771-fhy98qt4 283 16 break break VB cord-331771-fhy98qt4 283 17 out out RP cord-331771-fhy98qt4 283 18 in in IN cord-331771-fhy98qt4 283 19 a a DT cord-331771-fhy98qt4 283 20 very very RB cord-331771-fhy98qt4 283 21 sparse sparse JJ cord-331771-fhy98qt4 283 22 network network NN cord-331771-fhy98qt4 283 23 . . . cord-331771-fhy98qt4 284 1 Moreover moreover RB cord-331771-fhy98qt4 284 2 , , , cord-331771-fhy98qt4 284 3 when when WRB cord-331771-fhy98qt4 284 4 the the DT cord-331771-fhy98qt4 284 5 knowledge knowledge NN cord-331771-fhy98qt4 284 6 - - HYPH cord-331771-fhy98qt4 284 7 believed believe VBN cord-331771-fhy98qt4 284 8 density density NN cord-331771-fhy98qt4 284 9 starts start VBZ cord-331771-fhy98qt4 284 10 to to TO cord-331771-fhy98qt4 284 11 increase increase VB cord-331771-fhy98qt4 284 12 , , , cord-331771-fhy98qt4 284 13 the the DT cord-331771-fhy98qt4 284 14 infected infect VBN cord-331771-fhy98qt4 284 15 density density NN cord-331771-fhy98qt4 284 16 begins begin VBZ cord-331771-fhy98qt4 284 17 to to TO cord-331771-fhy98qt4 284 18 decrease decrease VB cord-331771-fhy98qt4 284 19 . . . cord-331771-fhy98qt4 285 1 More more RBR cord-331771-fhy98qt4 285 2 importantly importantly RB cord-331771-fhy98qt4 285 3 , , , cord-331771-fhy98qt4 285 4 with with IN cord-331771-fhy98qt4 285 5 the the DT cord-331771-fhy98qt4 285 6 increase increase NN cord-331771-fhy98qt4 285 7 of of IN cord-331771-fhy98qt4 285 8 k k NN cord-331771-fhy98qt4 285 9 , , , cord-331771-fhy98qt4 285 10 the the DT cord-331771-fhy98qt4 285 11 infected infect VBN cord-331771-fhy98qt4 285 12 density density NN cord-331771-fhy98qt4 285 13 gradually gradually RB cord-331771-fhy98qt4 285 14 decreases decrease VBZ cord-331771-fhy98qt4 285 15 to to IN cord-331771-fhy98qt4 285 16 0 0 CD cord-331771-fhy98qt4 285 17 , , , cord-331771-fhy98qt4 285 18 which which WDT cord-331771-fhy98qt4 285 19 indicates indicate VBZ cord-331771-fhy98qt4 285 20 that that IN cord-331771-fhy98qt4 285 21 extending extend VBG cord-331771-fhy98qt4 285 22 the the DT cord-331771-fhy98qt4 285 23 communication communication NN cord-331771-fhy98qt4 285 24 - - HYPH cord-331771-fhy98qt4 285 25 layer layer NN cord-331771-fhy98qt4 285 26 network network NN cord-331771-fhy98qt4 285 27 helps help VBZ cord-331771-fhy98qt4 285 28 to to TO cord-331771-fhy98qt4 285 29 eradicate eradicate VB cord-331771-fhy98qt4 285 30 the the DT cord-331771-fhy98qt4 285 31 epidemic epidemic NN cord-331771-fhy98qt4 285 32 in in IN cord-331771-fhy98qt4 285 33 the the DT cord-331771-fhy98qt4 285 34 contact contact NN cord-331771-fhy98qt4 285 35 - - HYPH cord-331771-fhy98qt4 285 36 layer layer NN cord-331771-fhy98qt4 285 37 network network NN cord-331771-fhy98qt4 285 38 , , , cord-331771-fhy98qt4 285 39 consistent consistent JJ cord-331771-fhy98qt4 285 40 with with IN cord-331771-fhy98qt4 285 41 Eq Eq NNP cord-331771-fhy98qt4 285 42 . . . cord-331771-fhy98qt4 286 1 ( ( -LRB- cord-331771-fhy98qt4 286 2 13 13 CD cord-331771-fhy98qt4 286 3 ) ) -RRB- cord-331771-fhy98qt4 286 4 . . . cord-331771-fhy98qt4 287 1 Besides besides RB cord-331771-fhy98qt4 287 2 , , , cord-331771-fhy98qt4 287 3 a a DT cord-331771-fhy98qt4 287 4 larger large JJR cord-331771-fhy98qt4 287 5 α α NN cord-331771-fhy98qt4 287 6 3 3 CD cord-331771-fhy98qt4 287 7 in in IN cord-331771-fhy98qt4 287 8 the the DT cord-331771-fhy98qt4 287 9 communication communication NN cord-331771-fhy98qt4 287 10 - - HYPH cord-331771-fhy98qt4 287 11 layer layer NN cord-331771-fhy98qt4 287 12 network network NN cord-331771-fhy98qt4 287 13 is be VBZ cord-331771-fhy98qt4 287 14 also also RB cord-331771-fhy98qt4 287 15 helpful helpful JJ cord-331771-fhy98qt4 287 16 to to TO cord-331771-fhy98qt4 287 17 eradicate eradicate VB cord-331771-fhy98qt4 287 18 the the DT cord-331771-fhy98qt4 287 19 epidemic epidemic NN cord-331771-fhy98qt4 287 20 . . . cord-331771-fhy98qt4 288 1 In in IN cord-331771-fhy98qt4 288 2 summary summary NN cord-331771-fhy98qt4 288 3 , , , cord-331771-fhy98qt4 288 4 extending extend VBG cord-331771-fhy98qt4 288 5 the the DT cord-331771-fhy98qt4 288 6 communication communication NN cord-331771-fhy98qt4 288 7 - - HYPH cord-331771-fhy98qt4 288 8 layer layer NN cord-331771-fhy98qt4 288 9 network network NN cord-331771-fhy98qt4 288 10 is be VBZ cord-331771-fhy98qt4 288 11 helpful helpful JJ cord-331771-fhy98qt4 288 12 to to TO cord-331771-fhy98qt4 288 13 eradicate eradicate VB cord-331771-fhy98qt4 288 14 the the DT cord-331771-fhy98qt4 288 15 epidemic epidemic NN cord-331771-fhy98qt4 288 16 , , , cord-331771-fhy98qt4 288 17 but but CC cord-331771-fhy98qt4 288 18 it -PRON- PRP cord-331771-fhy98qt4 288 19 largely largely RB cord-331771-fhy98qt4 288 20 depends depend VBZ cord-331771-fhy98qt4 288 21 on on IN cord-331771-fhy98qt4 288 22 the the DT cord-331771-fhy98qt4 288 23 condition condition NN cord-331771-fhy98qt4 288 24 that that IN cord-331771-fhy98qt4 288 25 knowledge knowledge NN cord-331771-fhy98qt4 288 26 is be VBZ cord-331771-fhy98qt4 288 27 able able JJ cord-331771-fhy98qt4 288 28 to to TO cord-331771-fhy98qt4 288 29 penetrate penetrate VB cord-331771-fhy98qt4 288 30 the the DT cord-331771-fhy98qt4 288 31 rumor rumor NN cord-331771-fhy98qt4 288 32 . . . cord-331771-fhy98qt4 289 1 When when WRB cord-331771-fhy98qt4 289 2 people people NNS cord-331771-fhy98qt4 289 3 can can MD cord-331771-fhy98qt4 289 4 get get VB cord-331771-fhy98qt4 289 5 information information NN cord-331771-fhy98qt4 289 6 from from IN cord-331771-fhy98qt4 289 7 diverse diverse JJ cord-331771-fhy98qt4 289 8 sources source NNS cord-331771-fhy98qt4 289 9 , , , cord-331771-fhy98qt4 289 10 s s NN cord-331771-fhy98qt4 289 11 / / SYM cord-331771-fhy98qt4 289 12 he -PRON- PRP cord-331771-fhy98qt4 289 13 is be VBZ cord-331771-fhy98qt4 289 14 more more RBR cord-331771-fhy98qt4 289 15 likely likely JJ cord-331771-fhy98qt4 289 16 to to TO cord-331771-fhy98qt4 289 17 get get VB cord-331771-fhy98qt4 289 18 access access NN cord-331771-fhy98qt4 289 19 to to IN cord-331771-fhy98qt4 289 20 the the DT cord-331771-fhy98qt4 289 21 accurate accurate JJ cord-331771-fhy98qt4 289 22 information information NN cord-331771-fhy98qt4 289 23 ( ( -LRB- cord-331771-fhy98qt4 289 24 i.e. i.e. FW cord-331771-fhy98qt4 289 25 , , , cord-331771-fhy98qt4 289 26 knowledge knowledge NN cord-331771-fhy98qt4 289 27 ) ) -RRB- cord-331771-fhy98qt4 289 28 and and CC cord-331771-fhy98qt4 289 29 get get VB cord-331771-fhy98qt4 289 30 rid rid VBN cord-331771-fhy98qt4 289 31 of of IN cord-331771-fhy98qt4 289 32 rumor rumor NN cord-331771-fhy98qt4 289 33 . . . cord-331771-fhy98qt4 290 1 This this DT cord-331771-fhy98qt4 290 2 will will MD cord-331771-fhy98qt4 290 3 make make VB cord-331771-fhy98qt4 290 4 her -PRON- PRP cord-331771-fhy98qt4 290 5 / / SYM cord-331771-fhy98qt4 290 6 him -PRON- PRP cord-331771-fhy98qt4 290 7 be be VB cord-331771-fhy98qt4 290 8 better well RBR cord-331771-fhy98qt4 290 9 protected protect VBN cord-331771-fhy98qt4 290 10 from from IN cord-331771-fhy98qt4 290 11 the the DT cord-331771-fhy98qt4 290 12 epidemic epidemic NN cord-331771-fhy98qt4 290 13 . . . cord-331771-fhy98qt4 291 1 Besides besides RB cord-331771-fhy98qt4 291 2 , , , cord-331771-fhy98qt4 291 3 compared compare VBN cord-331771-fhy98qt4 291 4 with with IN cord-331771-fhy98qt4 291 5 reducing reduce VBG cord-331771-fhy98qt4 291 6 rumor rumor NN cord-331771-fhy98qt4 291 7 infectivity infectivity NN cord-331771-fhy98qt4 291 8 or or CC cord-331771-fhy98qt4 291 9 epidemic epidemic NN cord-331771-fhy98qt4 291 10 infectivity infectivity NN cord-331771-fhy98qt4 291 11 , , , cord-331771-fhy98qt4 291 12 the the DT cord-331771-fhy98qt4 291 13 cost cost NN cord-331771-fhy98qt4 291 14 of of IN cord-331771-fhy98qt4 291 15 widening widen VBG cord-331771-fhy98qt4 291 16 information information NN cord-331771-fhy98qt4 291 17 sources source NNS cord-331771-fhy98qt4 291 18 is be VBZ cord-331771-fhy98qt4 291 19 usually usually RB cord-331771-fhy98qt4 291 20 lower low JJR cord-331771-fhy98qt4 291 21 . . . cord-331771-fhy98qt4 292 1 During during IN cord-331771-fhy98qt4 292 2 an an DT cord-331771-fhy98qt4 292 3 epidemic epidemic NN cord-331771-fhy98qt4 292 4 , , , cord-331771-fhy98qt4 292 5 individuals individual NNS cord-331771-fhy98qt4 292 6 are be VBP cord-331771-fhy98qt4 292 7 usually usually RB cord-331771-fhy98qt4 292 8 willing willing JJ cord-331771-fhy98qt4 292 9 to to TO cord-331771-fhy98qt4 292 10 take take VB cord-331771-fhy98qt4 292 11 protective protective JJ cord-331771-fhy98qt4 292 12 measures measure NNS cord-331771-fhy98qt4 292 13 to to TO cord-331771-fhy98qt4 292 14 avoid avoid VB cord-331771-fhy98qt4 292 15 being be VBG cord-331771-fhy98qt4 292 16 infected infect VBN cord-331771-fhy98qt4 292 17 . . . cord-331771-fhy98qt4 293 1 However however RB cord-331771-fhy98qt4 293 2 , , , cord-331771-fhy98qt4 293 3 the the DT cord-331771-fhy98qt4 293 4 diffusion diffusion NN cord-331771-fhy98qt4 293 5 of of IN cord-331771-fhy98qt4 293 6 rumor rumor NN cord-331771-fhy98qt4 293 7 sometimes sometimes RB cord-331771-fhy98qt4 293 8 prevents prevent VBZ cord-331771-fhy98qt4 293 9 them -PRON- PRP cord-331771-fhy98qt4 293 10 from from IN cord-331771-fhy98qt4 293 11 choosing choose VBG cord-331771-fhy98qt4 293 12 the the DT cord-331771-fhy98qt4 293 13 effective effective JJ cord-331771-fhy98qt4 293 14 measures measure NNS cord-331771-fhy98qt4 293 15 . . . cord-331771-fhy98qt4 294 1 To to TO cord-331771-fhy98qt4 294 2 make make VB cord-331771-fhy98qt4 294 3 things thing NNS cord-331771-fhy98qt4 294 4 worse bad JJR cord-331771-fhy98qt4 294 5 , , , cord-331771-fhy98qt4 294 6 such such JJ cord-331771-fhy98qt4 294 7 rumor rumor NN cord-331771-fhy98qt4 294 8 is be VBZ cord-331771-fhy98qt4 294 9 often often RB cord-331771-fhy98qt4 294 10 contagious contagious JJ cord-331771-fhy98qt4 294 11 and and CC cord-331771-fhy98qt4 294 12 hard hard JJ cord-331771-fhy98qt4 294 13 to to TO cord-331771-fhy98qt4 294 14 be be VB cord-331771-fhy98qt4 294 15 eradicated eradicate VBN cord-331771-fhy98qt4 294 16 , , , cord-331771-fhy98qt4 294 17 making make VBG cord-331771-fhy98qt4 294 18 the the DT cord-331771-fhy98qt4 294 19 epidemic epidemic NN cord-331771-fhy98qt4 294 20 difficult difficult JJ cord-331771-fhy98qt4 294 21 to to TO cord-331771-fhy98qt4 294 22 contain contain VB cord-331771-fhy98qt4 294 23 . . . cord-331771-fhy98qt4 295 1 Therefore therefore RB cord-331771-fhy98qt4 295 2 , , , cord-331771-fhy98qt4 295 3 how how WRB cord-331771-fhy98qt4 295 4 to to TO cord-331771-fhy98qt4 295 5 contain contain VB cord-331771-fhy98qt4 295 6 rumor rumor NN cord-331771-fhy98qt4 295 7 and and CC cord-331771-fhy98qt4 295 8 epidemic epidemic NN cord-331771-fhy98qt4 295 9 has have VBZ cord-331771-fhy98qt4 295 10 become become VBN cord-331771-fhy98qt4 295 11 a a DT cord-331771-fhy98qt4 295 12 critical critical JJ cord-331771-fhy98qt4 295 13 issue issue NN cord-331771-fhy98qt4 295 14 to to IN cord-331771-fhy98qt4 295 15 the the DT cord-331771-fhy98qt4 295 16 human human JJ cord-331771-fhy98qt4 295 17 society society NN cord-331771-fhy98qt4 295 18 . . . cord-331771-fhy98qt4 296 1 In in IN cord-331771-fhy98qt4 296 2 this this DT cord-331771-fhy98qt4 296 3 research research NN cord-331771-fhy98qt4 296 4 , , , cord-331771-fhy98qt4 296 5 inferred infer VBN cord-331771-fhy98qt4 296 6 from from IN cord-331771-fhy98qt4 296 7 the the DT cord-331771-fhy98qt4 296 8 study study NN cord-331771-fhy98qt4 296 9 of of IN cord-331771-fhy98qt4 296 10 Prelec Prelec NNP cord-331771-fhy98qt4 296 11 et et NNP cord-331771-fhy98qt4 296 12 al al NNP cord-331771-fhy98qt4 296 13 . . . cord-331771-fhy98qt4 297 1 and and CC cord-331771-fhy98qt4 297 2 the the DT cord-331771-fhy98qt4 297 3 practice practice NN cord-331771-fhy98qt4 297 4 of of IN cord-331771-fhy98qt4 297 5 Chinese chinese JJ cord-331771-fhy98qt4 297 6 authorities authority NNS cord-331771-fhy98qt4 297 7 during during IN cord-331771-fhy98qt4 297 8 COVID-19 COVID-19 NNP cord-331771-fhy98qt4 297 9 , , , cord-331771-fhy98qt4 297 10 we -PRON- PRP cord-331771-fhy98qt4 297 11 propose propose VBP cord-331771-fhy98qt4 297 12 that that IN cord-331771-fhy98qt4 297 13 the the DT cord-331771-fhy98qt4 297 14 diffusion diffusion NN cord-331771-fhy98qt4 297 15 of of IN cord-331771-fhy98qt4 297 16 knowledge knowledge NN cord-331771-fhy98qt4 297 17 is be VBZ cord-331771-fhy98qt4 297 18 the the DT cord-331771-fhy98qt4 297 19 key key NN cord-331771-fhy98qt4 297 20 to to IN cord-331771-fhy98qt4 297 21 controlling control VBG cord-331771-fhy98qt4 297 22 both both CC cord-331771-fhy98qt4 297 23 rumor rumor NN cord-331771-fhy98qt4 297 24 and and CC cord-331771-fhy98qt4 297 25 epidemic epidemic NN cord-331771-fhy98qt4 297 26 . . . cord-331771-fhy98qt4 298 1 To to TO cord-331771-fhy98qt4 298 2 model model VB cord-331771-fhy98qt4 298 3 interaction interaction NN cord-331771-fhy98qt4 298 4 between between IN cord-331771-fhy98qt4 298 5 information information NN cord-331771-fhy98qt4 298 6 diffusion diffusion NN cord-331771-fhy98qt4 298 7 and and CC cord-331771-fhy98qt4 298 8 epidemic epidemic NN cord-331771-fhy98qt4 298 9 spreading spreading NN cord-331771-fhy98qt4 298 10 , , , cord-331771-fhy98qt4 298 11 we -PRON- PRP cord-331771-fhy98qt4 298 12 adopt adopt VBP cord-331771-fhy98qt4 298 13 a a DT cord-331771-fhy98qt4 298 14 two two CD cord-331771-fhy98qt4 298 15 - - HYPH cord-331771-fhy98qt4 298 16 layer layer NN cord-331771-fhy98qt4 298 17 network network NN cord-331771-fhy98qt4 298 18 structure structure NN cord-331771-fhy98qt4 298 19 . . . cord-331771-fhy98qt4 299 1 The the DT cord-331771-fhy98qt4 299 2 UA UA NNP cord-331771-fhy98qt4 299 3 1 1 CD cord-331771-fhy98qt4 299 4 A a DT cord-331771-fhy98qt4 299 5 2 2 CD cord-331771-fhy98qt4 299 6 model model NN cord-331771-fhy98qt4 299 7 is be VBZ cord-331771-fhy98qt4 299 8 adopted adopt VBN cord-331771-fhy98qt4 299 9 to to TO cord-331771-fhy98qt4 299 10 describe describe VB cord-331771-fhy98qt4 299 11 the the DT cord-331771-fhy98qt4 299 12 competitive competitive JJ cord-331771-fhy98qt4 299 13 diffusions diffusion NNS cord-331771-fhy98qt4 299 14 of of IN cord-331771-fhy98qt4 299 15 information information NN cord-331771-fhy98qt4 299 16 and and CC cord-331771-fhy98qt4 299 17 the the DT cord-331771-fhy98qt4 299 18 SEIS SEIS NNP cord-331771-fhy98qt4 299 19 model model NN cord-331771-fhy98qt4 299 20 is be VBZ cord-331771-fhy98qt4 299 21 adopted adopt VBN cord-331771-fhy98qt4 299 22 to to TO cord-331771-fhy98qt4 299 23 describe describe VB cord-331771-fhy98qt4 299 24 the the DT cord-331771-fhy98qt4 299 25 spread spread NN cord-331771-fhy98qt4 299 26 of of IN cord-331771-fhy98qt4 299 27 epidemic epidemic NN cord-331771-fhy98qt4 299 28 . . . cord-331771-fhy98qt4 300 1 Specifically specifically RB cord-331771-fhy98qt4 300 2 , , , cord-331771-fhy98qt4 300 3 in in IN cord-331771-fhy98qt4 300 4 the the DT cord-331771-fhy98qt4 300 5 UA UA NNP cord-331771-fhy98qt4 300 6 1 1 CD cord-331771-fhy98qt4 300 7 A a DT cord-331771-fhy98qt4 300 8 2 2 CD cord-331771-fhy98qt4 300 9 model model NN cord-331771-fhy98qt4 300 10 , , , cord-331771-fhy98qt4 300 11 we -PRON- PRP cord-331771-fhy98qt4 300 12 explicitly explicitly RB cord-331771-fhy98qt4 300 13 propose propose VBP cord-331771-fhy98qt4 300 14 a a DT cord-331771-fhy98qt4 300 15 unidirectional unidirectional JJ cord-331771-fhy98qt4 300 16 transition transition NN cord-331771-fhy98qt4 300 17 probability probability NN cord-331771-fhy98qt4 300 18 from from IN cord-331771-fhy98qt4 300 19 A a DT cord-331771-fhy98qt4 300 20 1 1 CD cord-331771-fhy98qt4 300 21 ( ( -LRB- cord-331771-fhy98qt4 300 22 rumor rumor NN cord-331771-fhy98qt4 300 23 - - HYPH cord-331771-fhy98qt4 300 24 believed believe VBN cord-331771-fhy98qt4 300 25 state state NN cord-331771-fhy98qt4 300 26 ) ) -RRB- cord-331771-fhy98qt4 300 27 to to IN cord-331771-fhy98qt4 300 28 A a DT cord-331771-fhy98qt4 300 29 2 2 CD cord-331771-fhy98qt4 300 30 ( ( -LRB- cord-331771-fhy98qt4 300 31 knowledge knowledge NN cord-331771-fhy98qt4 300 32 - - HYPH cord-331771-fhy98qt4 300 33 believed believe VBN cord-331771-fhy98qt4 300 34 state state NN cord-331771-fhy98qt4 300 35 ) ) -RRB- cord-331771-fhy98qt4 300 36 , , , cord-331771-fhy98qt4 300 37 which which WDT cord-331771-fhy98qt4 300 38 denotes denote VBZ cord-331771-fhy98qt4 300 39 the the DT cord-331771-fhy98qt4 300 40 penetration penetration NN cord-331771-fhy98qt4 300 41 of of IN cord-331771-fhy98qt4 300 42 knowledge knowledge NN cord-331771-fhy98qt4 300 43 into into IN cord-331771-fhy98qt4 300 44 rumor rumor NN cord-331771-fhy98qt4 300 45 . . . cord-331771-fhy98qt4 301 1 Three three CD cord-331771-fhy98qt4 301 2 frequently frequently RB cord-331771-fhy98qt4 301 3 used use VBN cord-331771-fhy98qt4 301 4 methods method NNS cord-331771-fhy98qt4 301 5 are be VBP cord-331771-fhy98qt4 301 6 used use VBN cord-331771-fhy98qt4 301 7 to to TO cord-331771-fhy98qt4 301 8 evaluate evaluate VB cord-331771-fhy98qt4 301 9 the the DT cord-331771-fhy98qt4 301 10 impact impact NN cord-331771-fhy98qt4 301 11 of of IN cord-331771-fhy98qt4 301 12 knowledge knowledge NN cord-331771-fhy98qt4 301 13 diffusion diffusion NN cord-331771-fhy98qt4 301 14 on on IN cord-331771-fhy98qt4 301 15 the the DT cord-331771-fhy98qt4 301 16 spread spread NN cord-331771-fhy98qt4 301 17 of of IN cord-331771-fhy98qt4 301 18 rumor rumor NN cord-331771-fhy98qt4 301 19 and and CC cord-331771-fhy98qt4 301 20 epidemic epidemic NN cord-331771-fhy98qt4 301 21 . . . cord-331771-fhy98qt4 302 1 The the DT cord-331771-fhy98qt4 302 2 diffusion diffusion NN cord-331771-fhy98qt4 302 3 of of IN cord-331771-fhy98qt4 302 4 knowledge knowledge NN cord-331771-fhy98qt4 302 5 is be VBZ cord-331771-fhy98qt4 302 6 able able JJ cord-331771-fhy98qt4 302 7 to to TO cord-331771-fhy98qt4 302 8 eradicate eradicate VB cord-331771-fhy98qt4 302 9 both both DT cord-331771-fhy98qt4 302 10 rumor rumor NN cord-331771-fhy98qt4 302 11 and and CC cord-331771-fhy98qt4 302 12 epidemic epidemic NN cord-331771-fhy98qt4 302 13 , , , cord-331771-fhy98qt4 302 14 where where WRB cord-331771-fhy98qt4 302 15 the the DT cord-331771-fhy98qt4 302 16 penetration penetration NN cord-331771-fhy98qt4 302 17 intensity intensity NN cord-331771-fhy98qt4 302 18 of of IN cord-331771-fhy98qt4 302 19 knowledge knowledge NN cord-331771-fhy98qt4 302 20 into into IN cord-331771-fhy98qt4 302 21 the the DT cord-331771-fhy98qt4 302 22 rumor rumor NN cord-331771-fhy98qt4 302 23 - - HYPH cord-331771-fhy98qt4 302 24 believed believe VBN cord-331771-fhy98qt4 302 25 nodes node NNS cord-331771-fhy98qt4 302 26 ( ( -LRB- cord-331771-fhy98qt4 302 27 α α NN cord-331771-fhy98qt4 302 28 3 3 CD cord-331771-fhy98qt4 302 29 ) ) -RRB- cord-331771-fhy98qt4 302 30 plays play VBZ cord-331771-fhy98qt4 302 31 a a DT cord-331771-fhy98qt4 302 32 vital vital JJ cord-331771-fhy98qt4 302 33 role role NN cord-331771-fhy98qt4 302 34 . . . cord-331771-fhy98qt4 303 1 The the DT cord-331771-fhy98qt4 303 2 rumor rumor JJ cord-331771-fhy98qt4 303 3 outbreak outbreak NN cord-331771-fhy98qt4 303 4 threshold threshold NN cord-331771-fhy98qt4 303 5 increases increase NNS cord-331771-fhy98qt4 303 6 linearly linearly RB cord-331771-fhy98qt4 303 7 with with IN cord-331771-fhy98qt4 303 8 α α NN cord-331771-fhy98qt4 303 9 3 3 CD cord-331771-fhy98qt4 303 10 , , , cord-331771-fhy98qt4 303 11 while while IN cord-331771-fhy98qt4 303 12 the the DT cord-331771-fhy98qt4 303 13 epidemic epidemic NN cord-331771-fhy98qt4 303 14 outbreak outbreak NN cord-331771-fhy98qt4 303 15 threshold threshold NN cord-331771-fhy98qt4 303 16 increases increase NNS cord-331771-fhy98qt4 303 17 nonlinearly nonlinearly RB cord-331771-fhy98qt4 303 18 with with IN cord-331771-fhy98qt4 303 19 α α NN cord-331771-fhy98qt4 303 20 3 3 CD cord-331771-fhy98qt4 303 21 . . . cord-331771-fhy98qt4 304 1 In in IN cord-331771-fhy98qt4 304 2 particular particular JJ cord-331771-fhy98qt4 304 3 , , , cord-331771-fhy98qt4 304 4 even even RB cord-331771-fhy98qt4 304 5 if if IN cord-331771-fhy98qt4 304 6 the the DT cord-331771-fhy98qt4 304 7 self self NN cord-331771-fhy98qt4 304 8 - - HYPH cord-331771-fhy98qt4 304 9 protective protective JJ cord-331771-fhy98qt4 304 10 measure measure NN cord-331771-fhy98qt4 304 11 is be VBZ cord-331771-fhy98qt4 304 12 not not RB cord-331771-fhy98qt4 304 13 perfectly perfectly RB cord-331771-fhy98qt4 304 14 effective effective JJ cord-331771-fhy98qt4 304 15 , , , cord-331771-fhy98qt4 304 16 increasing increase VBG cord-331771-fhy98qt4 304 17 α α NN cord-331771-fhy98qt4 304 18 3 3 CD cord-331771-fhy98qt4 304 19 is be VBZ cord-331771-fhy98qt4 304 20 helpful helpful JJ cord-331771-fhy98qt4 304 21 to to TO cord-331771-fhy98qt4 304 22 contain contain VB cord-331771-fhy98qt4 304 23 and and CC cord-331771-fhy98qt4 304 24 even even RB cord-331771-fhy98qt4 304 25 eradicate eradicate VB cord-331771-fhy98qt4 304 26 the the DT cord-331771-fhy98qt4 304 27 epidemic epidemic NN cord-331771-fhy98qt4 304 28 . . . cord-331771-fhy98qt4 305 1 It -PRON- PRP cord-331771-fhy98qt4 305 2 is be VBZ cord-331771-fhy98qt4 305 3 inappropriate inappropriate JJ cord-331771-fhy98qt4 305 4 to to TO cord-331771-fhy98qt4 305 5 equate equate VB cord-331771-fhy98qt4 305 6 eradicating eradicate VBG cord-331771-fhy98qt4 305 7 rumor rumor NN cord-331771-fhy98qt4 305 8 with with IN cord-331771-fhy98qt4 305 9 eradicating eradicate VBG cord-331771-fhy98qt4 305 10 epidemic epidemic NN cord-331771-fhy98qt4 305 11 , , , cord-331771-fhy98qt4 305 12 although although IN cord-331771-fhy98qt4 305 13 eradicating eradicate VBG cord-331771-fhy98qt4 305 14 rumor rumor NN cord-331771-fhy98qt4 305 15 is be VBZ cord-331771-fhy98qt4 305 16 helpful helpful JJ cord-331771-fhy98qt4 305 17 to to TO cord-331771-fhy98qt4 305 18 eradicate eradicate VB cord-331771-fhy98qt4 305 19 the the DT cord-331771-fhy98qt4 305 20 epidemic epidemic NN cord-331771-fhy98qt4 305 21 . . . cord-331771-fhy98qt4 306 1 On on IN cord-331771-fhy98qt4 306 2 one one CD cord-331771-fhy98qt4 306 3 hand hand NN cord-331771-fhy98qt4 306 4 , , , cord-331771-fhy98qt4 306 5 when when WRB cord-331771-fhy98qt4 306 6 the the DT cord-331771-fhy98qt4 306 7 density density NN cord-331771-fhy98qt4 306 8 of of IN cord-331771-fhy98qt4 306 9 knowledge knowledge NN cord-331771-fhy98qt4 306 10 - - HYPH cord-331771-fhy98qt4 306 11 believed believe VBN cord-331771-fhy98qt4 306 12 nodes node NNS cord-331771-fhy98qt4 306 13 increases increase VBZ cord-331771-fhy98qt4 306 14 , , , cord-331771-fhy98qt4 306 15 the the DT cord-331771-fhy98qt4 306 16 outbreak outbreak NN cord-331771-fhy98qt4 306 17 threshold threshold NN cord-331771-fhy98qt4 306 18 of of IN cord-331771-fhy98qt4 306 19 epidemic epidemic NN cord-331771-fhy98qt4 306 20 will will MD cord-331771-fhy98qt4 306 21 significantly significantly RB cord-331771-fhy98qt4 306 22 increase increase VB cord-331771-fhy98qt4 306 23 , , , cord-331771-fhy98qt4 306 24 no no RB cord-331771-fhy98qt4 306 25 matter matter RB cord-331771-fhy98qt4 306 26 whether whether IN cord-331771-fhy98qt4 306 27 rumor rumor NN cord-331771-fhy98qt4 306 28 dies die VBZ cord-331771-fhy98qt4 306 29 out out RP cord-331771-fhy98qt4 306 30 or or CC cord-331771-fhy98qt4 306 31 not not RB cord-331771-fhy98qt4 306 32 . . . cord-331771-fhy98qt4 307 1 On on IN cord-331771-fhy98qt4 307 2 the the DT cord-331771-fhy98qt4 307 3 other other JJ cord-331771-fhy98qt4 307 4 hand hand NN cord-331771-fhy98qt4 307 5 , , , cord-331771-fhy98qt4 307 6 when when WRB cord-331771-fhy98qt4 307 7 rumor rumor NN cord-331771-fhy98qt4 307 8 is be VBZ cord-331771-fhy98qt4 307 9 eradicated eradicate VBN cord-331771-fhy98qt4 307 10 , , , cord-331771-fhy98qt4 307 11 the the DT cord-331771-fhy98qt4 307 12 epidemic epidemic NN cord-331771-fhy98qt4 307 13 may may MD cord-331771-fhy98qt4 307 14 still still RB cord-331771-fhy98qt4 307 15 prevail prevail VB cord-331771-fhy98qt4 307 16 if if IN cord-331771-fhy98qt4 307 17 the the DT cord-331771-fhy98qt4 307 18 self self NN cord-331771-fhy98qt4 307 19 - - HYPH cord-331771-fhy98qt4 307 20 protective protective JJ cord-331771-fhy98qt4 307 21 measure measure NN cord-331771-fhy98qt4 307 22 is be VBZ cord-331771-fhy98qt4 307 23 not not RB cord-331771-fhy98qt4 307 24 effective effective JJ cord-331771-fhy98qt4 307 25 enough enough RB cord-331771-fhy98qt4 307 26 . . . cord-331771-fhy98qt4 308 1 The the DT cord-331771-fhy98qt4 308 2 overlapping overlapping NN cord-331771-fhy98qt4 308 3 of of IN cord-331771-fhy98qt4 308 4 the the DT cord-331771-fhy98qt4 308 5 contact contact NN cord-331771-fhy98qt4 308 6 layer layer NN cord-331771-fhy98qt4 308 7 and and CC cord-331771-fhy98qt4 308 8 the the DT cord-331771-fhy98qt4 308 9 communication communication NN cord-331771-fhy98qt4 308 10 layer layer NN cord-331771-fhy98qt4 308 11 is be VBZ cord-331771-fhy98qt4 308 12 a a DT cord-331771-fhy98qt4 308 13 research research NN cord-331771-fhy98qt4 308 14 focus focus NN cord-331771-fhy98qt4 308 15 in in IN cord-331771-fhy98qt4 308 16 the the DT cord-331771-fhy98qt4 308 17 two two CD cord-331771-fhy98qt4 308 18 - - HYPH cord-331771-fhy98qt4 308 19 layer layer NN cord-331771-fhy98qt4 308 20 network network NN cord-331771-fhy98qt4 308 21 structure structure NN cord-331771-fhy98qt4 308 22 . . . cord-331771-fhy98qt4 309 1 We -PRON- PRP cord-331771-fhy98qt4 309 2 assume assume VBP cord-331771-fhy98qt4 309 3 that that IN cord-331771-fhy98qt4 309 4 the the DT cord-331771-fhy98qt4 309 5 communication communication NN cord-331771-fhy98qt4 309 6 - - HYPH cord-331771-fhy98qt4 309 7 layer layer NN cord-331771-fhy98qt4 309 8 network network NN cord-331771-fhy98qt4 309 9 is be VBZ cord-331771-fhy98qt4 309 10 an an DT cord-331771-fhy98qt4 309 11 extension extension NN cord-331771-fhy98qt4 309 12 of of IN cord-331771-fhy98qt4 309 13 the the DT cord-331771-fhy98qt4 309 14 contact contact NN cord-331771-fhy98qt4 309 15 - - HYPH cord-331771-fhy98qt4 309 16 layer layer NN cord-331771-fhy98qt4 309 17 network network NN cord-331771-fhy98qt4 309 18 . . . cord-331771-fhy98qt4 310 1 When when WRB cord-331771-fhy98qt4 310 2 adding add VBG cord-331771-fhy98qt4 310 3 links link NNS cord-331771-fhy98qt4 310 4 to to IN cord-331771-fhy98qt4 310 5 the the DT cord-331771-fhy98qt4 310 6 communication communication NN cord-331771-fhy98qt4 310 7 - - HYPH cord-331771-fhy98qt4 310 8 layer layer NN cord-331771-fhy98qt4 310 9 network network NN cord-331771-fhy98qt4 310 10 , , , cord-331771-fhy98qt4 310 11 namely namely RB cord-331771-fhy98qt4 310 12 when when WRB cord-331771-fhy98qt4 310 13 people people NNS cord-331771-fhy98qt4 310 14 get get VBP cord-331771-fhy98qt4 310 15 information information NN cord-331771-fhy98qt4 310 16 from from IN cord-331771-fhy98qt4 310 17 more more JJR cord-331771-fhy98qt4 310 18 sources source NNS cord-331771-fhy98qt4 310 19 , , , cord-331771-fhy98qt4 310 20 knowledge knowledge NN cord-331771-fhy98qt4 310 21 is be VBZ cord-331771-fhy98qt4 310 22 more more RBR cord-331771-fhy98qt4 310 23 likely likely JJ cord-331771-fhy98qt4 310 24 to to TO cord-331771-fhy98qt4 310 25 break break VB cord-331771-fhy98qt4 310 26 out out RP cord-331771-fhy98qt4 310 27 , , , cord-331771-fhy98qt4 310 28 while while IN cord-331771-fhy98qt4 310 29 rumor rumor NN cord-331771-fhy98qt4 310 30 and and CC cord-331771-fhy98qt4 310 31 epidemic epidemic NN cord-331771-fhy98qt4 310 32 are be VBP cord-331771-fhy98qt4 310 33 more more RBR cord-331771-fhy98qt4 310 34 likely likely JJ cord-331771-fhy98qt4 310 35 to to TO cord-331771-fhy98qt4 310 36 be be VB cord-331771-fhy98qt4 310 37 eradicated eradicate VBN cord-331771-fhy98qt4 310 38 . . . cord-331771-fhy98qt4 311 1 Moreover moreover RB cord-331771-fhy98qt4 311 2 , , , cord-331771-fhy98qt4 311 3 a a DT cord-331771-fhy98qt4 311 4 larger large JJR cord-331771-fhy98qt4 311 5 penetration penetration NN cord-331771-fhy98qt4 311 6 intensity intensity NN cord-331771-fhy98qt4 311 7 ( ( -LRB- cord-331771-fhy98qt4 311 8 α α NN cord-331771-fhy98qt4 311 9 3 3 CD cord-331771-fhy98qt4 311 10 ) ) -RRB- cord-331771-fhy98qt4 311 11 makes make VBZ cord-331771-fhy98qt4 311 12 knowledge knowledge NN cord-331771-fhy98qt4 311 13 more more RBR cord-331771-fhy98qt4 311 14 likely likely JJ cord-331771-fhy98qt4 311 15 to to TO cord-331771-fhy98qt4 311 16 break break VB cord-331771-fhy98qt4 311 17 out out RP cord-331771-fhy98qt4 311 18 in in IN cord-331771-fhy98qt4 311 19 a a DT cord-331771-fhy98qt4 311 20 sparse sparse JJ cord-331771-fhy98qt4 311 21 network network NN cord-331771-fhy98qt4 311 22 . . . cord-331771-fhy98qt4 312 1 From from IN cord-331771-fhy98qt4 312 2 the the DT cord-331771-fhy98qt4 312 3 above above JJ cord-331771-fhy98qt4 312 4 conclusions conclusion NNS cord-331771-fhy98qt4 312 5 , , , cord-331771-fhy98qt4 312 6 it -PRON- PRP cord-331771-fhy98qt4 312 7 can can MD cord-331771-fhy98qt4 312 8 be be VB cord-331771-fhy98qt4 312 9 obtained obtain VBN cord-331771-fhy98qt4 312 10 that that DT cord-331771-fhy98qt4 312 11 information information NN cord-331771-fhy98qt4 312 12 diffusion diffusion NN cord-331771-fhy98qt4 312 13 has have VBZ cord-331771-fhy98qt4 312 14 significant significant JJ cord-331771-fhy98qt4 312 15 influence influence NN cord-331771-fhy98qt4 312 16 on on IN cord-331771-fhy98qt4 312 17 the the DT cord-331771-fhy98qt4 312 18 epidemic epidemic NN cord-331771-fhy98qt4 312 19 spreading spread VBG cord-331771-fhy98qt4 312 20 . . . cord-331771-fhy98qt4 313 1 Increasing increase VBG cord-331771-fhy98qt4 313 2 penetration penetration NN cord-331771-fhy98qt4 313 3 intensity intensity NN cord-331771-fhy98qt4 313 4 of of IN cord-331771-fhy98qt4 313 5 knowledge knowledge NN cord-331771-fhy98qt4 313 6 or or CC cord-331771-fhy98qt4 313 7 improving improve VBG cord-331771-fhy98qt4 313 8 effectiveness effectiveness NN cord-331771-fhy98qt4 313 9 of of IN cord-331771-fhy98qt4 313 10 self self NN cord-331771-fhy98qt4 313 11 - - HYPH cord-331771-fhy98qt4 313 12 protection protection NN cord-331771-fhy98qt4 313 13 is be VBZ cord-331771-fhy98qt4 313 14 helpful helpful JJ cord-331771-fhy98qt4 313 15 to to TO cord-331771-fhy98qt4 313 16 eradicate eradicate VB cord-331771-fhy98qt4 313 17 an an DT cord-331771-fhy98qt4 313 18 epidemic epidemic NN cord-331771-fhy98qt4 313 19 . . . cord-331771-fhy98qt4 314 1 Therefore therefore RB cord-331771-fhy98qt4 314 2 , , , cord-331771-fhy98qt4 314 3 for for IN cord-331771-fhy98qt4 314 4 policy policy NN cord-331771-fhy98qt4 314 5 - - HYPH cord-331771-fhy98qt4 314 6 makers maker NNS cord-331771-fhy98qt4 314 7 , , , cord-331771-fhy98qt4 314 8 it -PRON- PRP cord-331771-fhy98qt4 314 9 is be VBZ cord-331771-fhy98qt4 314 10 necessary necessary JJ cord-331771-fhy98qt4 314 11 to to TO cord-331771-fhy98qt4 314 12 know know VB cord-331771-fhy98qt4 314 13 which which WDT cord-331771-fhy98qt4 314 14 is be VBZ cord-331771-fhy98qt4 314 15 more more RBR cord-331771-fhy98qt4 314 16 suitable suitable JJ cord-331771-fhy98qt4 314 17 for for IN cord-331771-fhy98qt4 314 18 a a DT cord-331771-fhy98qt4 314 19 specific specific JJ cord-331771-fhy98qt4 314 20 case case NN cord-331771-fhy98qt4 314 21 . . . cord-331771-fhy98qt4 315 1 The the DT cord-331771-fhy98qt4 315 2 phase phase NN cord-331771-fhy98qt4 315 3 diagram diagram NN cord-331771-fhy98qt4 315 4 provides provide VBZ cord-331771-fhy98qt4 315 5 lots lot NNS cord-331771-fhy98qt4 315 6 of of IN cord-331771-fhy98qt4 315 7 implications implication NNS cord-331771-fhy98qt4 315 8 . . . cord-331771-fhy98qt4 316 1 First first RB cord-331771-fhy98qt4 316 2 , , , cord-331771-fhy98qt4 316 3 it -PRON- PRP cord-331771-fhy98qt4 316 4 should should MD cord-331771-fhy98qt4 316 5 be be VB cord-331771-fhy98qt4 316 6 evaluated evaluate VBN cord-331771-fhy98qt4 316 7 at at IN cord-331771-fhy98qt4 316 8 which which WDT cord-331771-fhy98qt4 316 9 phase phase NN cord-331771-fhy98qt4 316 10 the the DT cord-331771-fhy98qt4 316 11 present present JJ cord-331771-fhy98qt4 316 12 two two CD cord-331771-fhy98qt4 316 13 - - HYPH cord-331771-fhy98qt4 316 14 layer layer NN cord-331771-fhy98qt4 316 15 system system NN cord-331771-fhy98qt4 316 16 is be VBZ cord-331771-fhy98qt4 316 17 located locate VBN cord-331771-fhy98qt4 316 18 . . . cord-331771-fhy98qt4 317 1 Second second RB cord-331771-fhy98qt4 317 2 , , , cord-331771-fhy98qt4 317 3 an an DT cord-331771-fhy98qt4 317 4 effective effective JJ cord-331771-fhy98qt4 317 5 strategy strategy NN cord-331771-fhy98qt4 317 6 is be VBZ cord-331771-fhy98qt4 317 7 the the DT cord-331771-fhy98qt4 317 8 one one NN cord-331771-fhy98qt4 317 9 that that WDT cord-331771-fhy98qt4 317 10 can can MD cord-331771-fhy98qt4 317 11 convert convert VB cord-331771-fhy98qt4 317 12 the the DT cord-331771-fhy98qt4 317 13 system system NN cord-331771-fhy98qt4 317 14 from from IN cord-331771-fhy98qt4 317 15 a a DT cord-331771-fhy98qt4 317 16 bad bad JJ cord-331771-fhy98qt4 317 17 phase phase NN cord-331771-fhy98qt4 317 18 ( ( -LRB- cord-331771-fhy98qt4 317 19 e.g. e.g. RB cord-331771-fhy98qt4 317 20 , , , cord-331771-fhy98qt4 317 21 " " `` cord-331771-fhy98qt4 317 22 Rumor rumor NN cord-331771-fhy98qt4 317 23 vs. vs. IN cord-331771-fhy98qt4 317 24 knowledge knowledge NN cord-331771-fhy98qt4 317 25 " " '' cord-331771-fhy98qt4 317 26 & & CC cord-331771-fhy98qt4 317 27 " " `` cord-331771-fhy98qt4 317 28 Epidemic epidemic NN cord-331771-fhy98qt4 317 29 breakout breakout NN cord-331771-fhy98qt4 317 30 ") ") '' cord-331771-fhy98qt4 317 31 to to IN cord-331771-fhy98qt4 317 32 a a DT cord-331771-fhy98qt4 317 33 nearby nearby JJ cord-331771-fhy98qt4 317 34 better well JJR cord-331771-fhy98qt4 317 35 phase phase NN cord-331771-fhy98qt4 317 36 ( ( -LRB- cord-331771-fhy98qt4 317 37 e.g. e.g. RB cord-331771-fhy98qt4 317 38 , , , cord-331771-fhy98qt4 317 39 " " `` cord-331771-fhy98qt4 317 40 Rumor rumor NN cord-331771-fhy98qt4 317 41 vs. vs. IN cord-331771-fhy98qt4 317 42 knowledge knowledge NN cord-331771-fhy98qt4 317 43 & & CC cord-331771-fhy98qt4 317 44 " " `` cord-331771-fhy98qt4 317 45 No no DT cord-331771-fhy98qt4 317 46 epidemic epidemic NN cord-331771-fhy98qt4 317 47 ") ") '' cord-331771-fhy98qt4 317 48 . . . cord-331771-fhy98qt4 318 1 Our -PRON- PRP$ cord-331771-fhy98qt4 318 2 research research NN cord-331771-fhy98qt4 318 3 has have VBZ cord-331771-fhy98qt4 318 4 several several JJ cord-331771-fhy98qt4 318 5 limitations limitation NNS cord-331771-fhy98qt4 318 6 , , , cord-331771-fhy98qt4 318 7 which which WDT cord-331771-fhy98qt4 318 8 can can MD cord-331771-fhy98qt4 318 9 be be VB cord-331771-fhy98qt4 318 10 extended extend VBN cord-331771-fhy98qt4 318 11 in in IN cord-331771-fhy98qt4 318 12 future future JJ cord-331771-fhy98qt4 318 13 studies study NNS cord-331771-fhy98qt4 318 14 . . . cord-331771-fhy98qt4 319 1 First first RB cord-331771-fhy98qt4 319 2 , , , cord-331771-fhy98qt4 319 3 the the DT cord-331771-fhy98qt4 319 4 dynamic dynamic JJ cord-331771-fhy98qt4 319 5 impact impact NN cord-331771-fhy98qt4 319 6 of of IN cord-331771-fhy98qt4 319 7 epidemic epidemic NN cord-331771-fhy98qt4 319 8 spreading spread VBG cord-331771-fhy98qt4 319 9 on on IN cord-331771-fhy98qt4 319 10 information information NN cord-331771-fhy98qt4 319 11 diffusion diffusion NN cord-331771-fhy98qt4 319 12 is be VBZ cord-331771-fhy98qt4 319 13 not not RB cord-331771-fhy98qt4 319 14 fully fully RB cord-331771-fhy98qt4 319 15 considered consider VBN cord-331771-fhy98qt4 319 16 . . . cord-331771-fhy98qt4 320 1 In in IN cord-331771-fhy98qt4 320 2 particular particular JJ cord-331771-fhy98qt4 320 3 , , , cord-331771-fhy98qt4 320 4 the the DT cord-331771-fhy98qt4 320 5 spread spread NN cord-331771-fhy98qt4 320 6 of of IN cord-331771-fhy98qt4 320 7 rumor rumor NN cord-331771-fhy98qt4 320 8 may may MD cord-331771-fhy98qt4 320 9 be be VB cord-331771-fhy98qt4 320 10 dynamically dynamically RB cord-331771-fhy98qt4 320 11 affected affect VBN cord-331771-fhy98qt4 320 12 by by IN cord-331771-fhy98qt4 320 13 the the DT cord-331771-fhy98qt4 320 14 severity severity NN cord-331771-fhy98qt4 320 15 of of IN cord-331771-fhy98qt4 320 16 epidemic epidemic NN cord-331771-fhy98qt4 320 17 . . . cord-331771-fhy98qt4 321 1 For for IN cord-331771-fhy98qt4 321 2 example example NN cord-331771-fhy98qt4 321 3 , , , cord-331771-fhy98qt4 321 4 people people NNS cord-331771-fhy98qt4 321 5 's 's POS cord-331771-fhy98qt4 321 6 susceptibility susceptibility NN cord-331771-fhy98qt4 321 7 to to IN cord-331771-fhy98qt4 321 8 rumor rumor NN cord-331771-fhy98qt4 321 9 may may MD cord-331771-fhy98qt4 321 10 not not RB cord-331771-fhy98qt4 321 11 be be VB cord-331771-fhy98qt4 321 12 constant constant JJ cord-331771-fhy98qt4 321 13 , , , cord-331771-fhy98qt4 321 14 but but CC cord-331771-fhy98qt4 321 15 inversely inversely RB cord-331771-fhy98qt4 321 16 related relate VBN cord-331771-fhy98qt4 321 17 to to IN cord-331771-fhy98qt4 321 18 the the DT cord-331771-fhy98qt4 321 19 outbreak outbreak NN cord-331771-fhy98qt4 321 20 size size NN cord-331771-fhy98qt4 321 21 of of IN cord-331771-fhy98qt4 321 22 epidemic epidemic NN cord-331771-fhy98qt4 321 23 . . . cord-331771-fhy98qt4 322 1 In in IN cord-331771-fhy98qt4 322 2 other other JJ cord-331771-fhy98qt4 322 3 words word NNS cord-331771-fhy98qt4 322 4 , , , cord-331771-fhy98qt4 322 5 when when WRB cord-331771-fhy98qt4 322 6 the the DT cord-331771-fhy98qt4 322 7 epidemic epidemic NN cord-331771-fhy98qt4 322 8 outbreak outbreak NN cord-331771-fhy98qt4 322 9 size size NN cord-331771-fhy98qt4 322 10 increases increase NNS cord-331771-fhy98qt4 322 11 , , , cord-331771-fhy98qt4 322 12 the the DT cord-331771-fhy98qt4 322 13 infectivity infectivity NN cord-331771-fhy98qt4 322 14 of of IN cord-331771-fhy98qt4 322 15 rumor rumor NN cord-331771-fhy98qt4 322 16 may may MD cord-331771-fhy98qt4 322 17 increase increase VB cord-331771-fhy98qt4 322 18 , , , cord-331771-fhy98qt4 322 19 as as RB cord-331771-fhy98qt4 322 20 well well RB cord-331771-fhy98qt4 322 21 . . . cord-331771-fhy98qt4 323 1 We -PRON- PRP cord-331771-fhy98qt4 323 2 set set VBD cord-331771-fhy98qt4 323 3 the the DT cord-331771-fhy98qt4 323 4 rumor rumor NN cord-331771-fhy98qt4 323 5 infectivity infectivity NN cord-331771-fhy98qt4 323 6 to to IN cord-331771-fhy98qt4 323 7 a a DT cord-331771-fhy98qt4 323 8 very very RB cord-331771-fhy98qt4 323 9 large large JJ cord-331771-fhy98qt4 323 10 value value NN cord-331771-fhy98qt4 323 11 ( ( -LRB- cord-331771-fhy98qt4 323 12 α α NN cord-331771-fhy98qt4 323 13 1 1 CD cord-331771-fhy98qt4 323 14 = = SYM cord-331771-fhy98qt4 323 15 0 0 CD cord-331771-fhy98qt4 323 16 . . . cord-331771-fhy98qt4 323 17 5 5 LS cord-331771-fhy98qt4 323 18 ) ) -RRB- cord-331771-fhy98qt4 323 19 , , , cord-331771-fhy98qt4 323 20 but but CC cord-331771-fhy98qt4 323 21 we -PRON- PRP cord-331771-fhy98qt4 323 22 did do VBD cord-331771-fhy98qt4 323 23 n't not RB cord-331771-fhy98qt4 323 24 consider consider VB cord-331771-fhy98qt4 323 25 its -PRON- PRP$ cord-331771-fhy98qt4 323 26 dynamic dynamic JJ cord-331771-fhy98qt4 323 27 feature feature NN cord-331771-fhy98qt4 323 28 . . . cord-331771-fhy98qt4 324 1 In in IN cord-331771-fhy98qt4 324 2 a a DT cord-331771-fhy98qt4 324 3 dynamic dynamic JJ cord-331771-fhy98qt4 324 4 case case NN cord-331771-fhy98qt4 324 5 , , , cord-331771-fhy98qt4 324 6 rumor rumor NN cord-331771-fhy98qt4 324 7 and and CC cord-331771-fhy98qt4 324 8 epidemic epidemic NN cord-331771-fhy98qt4 324 9 may may MD cord-331771-fhy98qt4 324 10 be be VB cord-331771-fhy98qt4 324 11 more more RBR cord-331771-fhy98qt4 324 12 easily easily RB cord-331771-fhy98qt4 324 13 contained contain VBN cord-331771-fhy98qt4 324 14 at at IN cord-331771-fhy98qt4 324 15 the the DT cord-331771-fhy98qt4 324 16 early early JJ cord-331771-fhy98qt4 324 17 stage stage NN cord-331771-fhy98qt4 324 18 . . . cord-331771-fhy98qt4 325 1 Second second RB cord-331771-fhy98qt4 325 2 , , , cord-331771-fhy98qt4 325 3 the the DT cord-331771-fhy98qt4 325 4 transition transition NN cord-331771-fhy98qt4 325 5 from from IN cord-331771-fhy98qt4 325 6 the the DT cord-331771-fhy98qt4 325 7 knowledge knowledge NN cord-331771-fhy98qt4 325 8 - - HYPH cord-331771-fhy98qt4 325 9 believed believe VBN cord-331771-fhy98qt4 325 10 state state NN cord-331771-fhy98qt4 325 11 to to IN cord-331771-fhy98qt4 325 12 the the DT cord-331771-fhy98qt4 325 13 rumor rumor NN cord-331771-fhy98qt4 325 14 - - HYPH cord-331771-fhy98qt4 325 15 believed believe VBN cord-331771-fhy98qt4 325 16 state state NN cord-331771-fhy98qt4 325 17 is be VBZ cord-331771-fhy98qt4 325 18 not not RB cord-331771-fhy98qt4 325 19 considered consider VBN cord-331771-fhy98qt4 325 20 , , , cord-331771-fhy98qt4 325 21 which which WDT cord-331771-fhy98qt4 325 22 is be VBZ cord-331771-fhy98qt4 325 23 consistent consistent JJ cord-331771-fhy98qt4 325 24 with with IN cord-331771-fhy98qt4 325 25 most most JJS cord-331771-fhy98qt4 325 26 of of IN cord-331771-fhy98qt4 325 27 previous previous JJ cord-331771-fhy98qt4 325 28 rumor rumor NN cord-331771-fhy98qt4 325 29 models model NNS cord-331771-fhy98qt4 325 30 [ [ -LRB- cord-331771-fhy98qt4 325 31 41 41 CD cord-331771-fhy98qt4 325 32 ] ] -RRB- cord-331771-fhy98qt4 325 33 . . . cord-331771-fhy98qt4 326 1 In in IN cord-331771-fhy98qt4 326 2 extreme extreme JJ cord-331771-fhy98qt4 326 3 cases case NNS cord-331771-fhy98qt4 326 4 , , , cord-331771-fhy98qt4 326 5 such such JJ cord-331771-fhy98qt4 326 6 transition transition NN cord-331771-fhy98qt4 326 7 may may MD cord-331771-fhy98qt4 326 8 occur occur VB cord-331771-fhy98qt4 326 9 . . . cord-331771-fhy98qt4 327 1 For for IN cord-331771-fhy98qt4 327 2 example example NN cord-331771-fhy98qt4 327 3 , , , cord-331771-fhy98qt4 327 4 a a DT cord-331771-fhy98qt4 327 5 wicked wicked JJ cord-331771-fhy98qt4 327 6 rumor rumor NN cord-331771-fhy98qt4 327 7 may may MD cord-331771-fhy98qt4 327 8 make make VB cord-331771-fhy98qt4 327 9 people people NNS cord-331771-fhy98qt4 327 10 to to TO cord-331771-fhy98qt4 327 11 abandon abandon VB cord-331771-fhy98qt4 327 12 the the DT cord-331771-fhy98qt4 327 13 effective effective JJ cord-331771-fhy98qt4 327 14 practice practice NN cord-331771-fhy98qt4 327 15 [ [ -LRB- cord-331771-fhy98qt4 327 16 25 25 CD cord-331771-fhy98qt4 327 17 ] ] -RRB- cord-331771-fhy98qt4 327 18 . . . cord-331771-fhy98qt4 328 1 Introducing introduce VBG cord-331771-fhy98qt4 328 2 such such JJ cord-331771-fhy98qt4 328 3 transition transition NN cord-331771-fhy98qt4 328 4 into into IN cord-331771-fhy98qt4 328 5 our -PRON- PRP$ cord-331771-fhy98qt4 328 6 model model NN cord-331771-fhy98qt4 328 7 may may MD cord-331771-fhy98qt4 328 8 make make VB cord-331771-fhy98qt4 328 9 the the DT cord-331771-fhy98qt4 328 10 competition competition NN cord-331771-fhy98qt4 328 11 between between IN cord-331771-fhy98qt4 328 12 rumor rumor NN cord-331771-fhy98qt4 328 13 and and CC cord-331771-fhy98qt4 328 14 knowledge knowledge NN cord-331771-fhy98qt4 328 15 more more RBR cord-331771-fhy98qt4 328 16 salient salient JJ cord-331771-fhy98qt4 328 17 . . . cord-331771-fhy98qt4 329 1 Third third RB cord-331771-fhy98qt4 329 2 , , , cord-331771-fhy98qt4 329 3 the the DT cord-331771-fhy98qt4 329 4 topology topology NN cord-331771-fhy98qt4 329 5 structures structure NNS cord-331771-fhy98qt4 329 6 of of IN cord-331771-fhy98qt4 329 7 the the DT cord-331771-fhy98qt4 329 8 contact contact NN cord-331771-fhy98qt4 329 9 - - HYPH cord-331771-fhy98qt4 329 10 layer layer NN cord-331771-fhy98qt4 329 11 network network NN cord-331771-fhy98qt4 329 12 and and CC cord-331771-fhy98qt4 329 13 the the DT cord-331771-fhy98qt4 329 14 communication communication NN cord-331771-fhy98qt4 329 15 - - HYPH cord-331771-fhy98qt4 329 16 layer layer NN cord-331771-fhy98qt4 329 17 network network NN cord-331771-fhy98qt4 329 18 may may MD cord-331771-fhy98qt4 329 19 be be VB cord-331771-fhy98qt4 329 20 different different JJ cord-331771-fhy98qt4 329 21 , , , cord-331771-fhy98qt4 329 22 which which WDT cord-331771-fhy98qt4 329 23 may may MD cord-331771-fhy98qt4 329 24 affect affect VB cord-331771-fhy98qt4 329 25 the the DT cord-331771-fhy98qt4 329 26 spreading spreading NN cord-331771-fhy98qt4 329 27 process process NN cord-331771-fhy98qt4 329 28 . . . cord-331771-fhy98qt4 330 1 Fortunately fortunately RB cord-331771-fhy98qt4 330 2 , , , cord-331771-fhy98qt4 330 3 although although IN cord-331771-fhy98qt4 330 4 we -PRON- PRP cord-331771-fhy98qt4 330 5 only only RB cord-331771-fhy98qt4 330 6 study study VBP cord-331771-fhy98qt4 330 7 the the DT cord-331771-fhy98qt4 330 8 random random JJ cord-331771-fhy98qt4 330 9 network network NN cord-331771-fhy98qt4 330 10 , , , cord-331771-fhy98qt4 330 11 this this DT cord-331771-fhy98qt4 330 12 research research NN cord-331771-fhy98qt4 330 13 can can MD cord-331771-fhy98qt4 330 14 be be VB cord-331771-fhy98qt4 330 15 easily easily RB cord-331771-fhy98qt4 330 16 extended extend VBN cord-331771-fhy98qt4 330 17 to to IN cord-331771-fhy98qt4 330 18 different different JJ cord-331771-fhy98qt4 330 19 network network NN cord-331771-fhy98qt4 330 20 structures structure NNS cord-331771-fhy98qt4 330 21 . . . cord-331771-fhy98qt4 331 1 World world NN cord-331771-fhy98qt4 331 2 on on IN cord-331771-fhy98qt4 331 3 alert alert NN cord-331771-fhy98qt4 331 4 for for IN cord-331771-fhy98qt4 331 5 potential potential JJ cord-331771-fhy98qt4 331 6 spread spread NN cord-331771-fhy98qt4 331 7 of of IN cord-331771-fhy98qt4 331 8 new new JJ cord-331771-fhy98qt4 331 9 sars sars NNP cord-331771-fhy98qt4 331 10 - - HYPH cord-331771-fhy98qt4 331 11 like like JJ cord-331771-fhy98qt4 331 12 virus virus NN cord-331771-fhy98qt4 331 13 found find VBN cord-331771-fhy98qt4 331 14 in in IN cord-331771-fhy98qt4 331 15 china china NNP cord-331771-fhy98qt4 331 16 A a DT cord-331771-fhy98qt4 331 17 game game NN cord-331771-fhy98qt4 331 18 theoretic theoretic JJ cord-331771-fhy98qt4 331 19 approach approach NN cord-331771-fhy98qt4 331 20 to to TO cord-331771-fhy98qt4 331 21 discuss discuss VB cord-331771-fhy98qt4 331 22 the the DT cord-331771-fhy98qt4 331 23 positive positive JJ cord-331771-fhy98qt4 331 24 secondary secondary JJ cord-331771-fhy98qt4 331 25 effect effect NN cord-331771-fhy98qt4 331 26 of of IN cord-331771-fhy98qt4 331 27 vaccination vaccination NN cord-331771-fhy98qt4 331 28 scheme scheme NN cord-331771-fhy98qt4 331 29 in in IN cord-331771-fhy98qt4 331 30 an an DT cord-331771-fhy98qt4 331 31 infinite infinite JJ cord-331771-fhy98qt4 331 32 and and CC cord-331771-fhy98qt4 331 33 well well RB cord-331771-fhy98qt4 331 34 - - HYPH cord-331771-fhy98qt4 331 35 mixed mix VBN cord-331771-fhy98qt4 331 36 population population NN cord-331771-fhy98qt4 331 37 Epidemics epidemic NNS cord-331771-fhy98qt4 331 38 and and CC cord-331771-fhy98qt4 331 39 Rumours Rumours NNPS cord-331771-fhy98qt4 331 40 in in IN cord-331771-fhy98qt4 331 41 Complex Complex NNP cord-331771-fhy98qt4 331 42 Networks Networks NNPS cord-331771-fhy98qt4 331 43 Economic economic JJ cord-331771-fhy98qt4 331 44 impact impact NN cord-331771-fhy98qt4 331 45 of of IN cord-331771-fhy98qt4 331 46 dengue dengue NN cord-331771-fhy98qt4 331 47 illness illness NN cord-331771-fhy98qt4 331 48 in in IN cord-331771-fhy98qt4 331 49 the the DT cord-331771-fhy98qt4 331 50 americas americas NNPS cord-331771-fhy98qt4 332 1 A a DT cord-331771-fhy98qt4 332 2 systematic systematic JJ cord-331771-fhy98qt4 332 3 review review NN cord-331771-fhy98qt4 332 4 of of IN cord-331771-fhy98qt4 332 5 the the DT cord-331771-fhy98qt4 332 6 social social JJ cord-331771-fhy98qt4 332 7 and and CC cord-331771-fhy98qt4 332 8 economic economic JJ cord-331771-fhy98qt4 332 9 burden burden NN cord-331771-fhy98qt4 332 10 of of IN cord-331771-fhy98qt4 332 11 influenza influenza NN cord-331771-fhy98qt4 332 12 in in IN cord-331771-fhy98qt4 332 13 low low JJ cord-331771-fhy98qt4 332 14 - - HYPH cord-331771-fhy98qt4 332 15 and and CC cord-331771-fhy98qt4 332 16 middle middle JJ cord-331771-fhy98qt4 332 17 - - HYPH cord-331771-fhy98qt4 332 18 income income NN cord-331771-fhy98qt4 332 19 countries country NNS cord-331771-fhy98qt4 333 1 Clinical clinical JJ cord-331771-fhy98qt4 333 2 features feature NNS cord-331771-fhy98qt4 333 3 of of IN cord-331771-fhy98qt4 333 4 patients patient NNS cord-331771-fhy98qt4 333 5 infected infect VBN cord-331771-fhy98qt4 333 6 with with IN cord-331771-fhy98qt4 333 7 2019 2019 CD cord-331771-fhy98qt4 333 8 novel novel JJ cord-331771-fhy98qt4 333 9 coronavirus coronavirus NN cord-331771-fhy98qt4 333 10 in in IN cord-331771-fhy98qt4 333 11 wuhan wuhan NNP cord-331771-fhy98qt4 333 12 Forecasting Forecasting NNP cord-331771-fhy98qt4 333 13 covid-19 covid-19 NNP cord-331771-fhy98qt4 333 14 Are be VBP cord-331771-fhy98qt4 333 15 we -PRON- PRP cord-331771-fhy98qt4 333 16 ready ready JJ cord-331771-fhy98qt4 333 17 for for IN cord-331771-fhy98qt4 333 18 pandemic pandemic NN cord-331771-fhy98qt4 333 19 influenza influenza NN cord-331771-fhy98qt4 333 20 ? ? . cord-331771-fhy98qt4 334 1 Evolutionary evolutionary JJ cord-331771-fhy98qt4 334 2 enhancement enhancement NN cord-331771-fhy98qt4 334 3 of of IN cord-331771-fhy98qt4 334 4 zika zika NNP cord-331771-fhy98qt4 334 5 virus virus NN cord-331771-fhy98qt4 334 6 infectivity infectivity NN cord-331771-fhy98qt4 334 7 in in IN cord-331771-fhy98qt4 334 8 aedes aedes NNP cord-331771-fhy98qt4 334 9 aegypti aegypti NNP cord-331771-fhy98qt4 334 10 mosquitoes mosquito NNS cord-331771-fhy98qt4 334 11 Optimal Optimal NNP cord-331771-fhy98qt4 334 12 control control NN cord-331771-fhy98qt4 334 13 of of IN cord-331771-fhy98qt4 334 14 influenza influenza JJ cord-331771-fhy98qt4 334 15 epidemic epidemic NN cord-331771-fhy98qt4 334 16 model model NN cord-331771-fhy98qt4 334 17 with with IN cord-331771-fhy98qt4 334 18 virus virus NN cord-331771-fhy98qt4 334 19 mutations mutation NNS cord-331771-fhy98qt4 334 20 Mathematical mathematical JJ cord-331771-fhy98qt4 334 21 analysis analysis NN cord-331771-fhy98qt4 334 22 of of IN cord-331771-fhy98qt4 334 23 an an DT cord-331771-fhy98qt4 334 24 sis sis NN cord-331771-fhy98qt4 334 25 model model NN cord-331771-fhy98qt4 334 26 with with IN cord-331771-fhy98qt4 334 27 imperfect imperfect JJ cord-331771-fhy98qt4 334 28 vaccination vaccination NN cord-331771-fhy98qt4 334 29 and and CC cord-331771-fhy98qt4 334 30 backward backward JJ cord-331771-fhy98qt4 334 31 bifurcation bifurcation NN cord-331771-fhy98qt4 334 32 Modelling model VBG cord-331771-fhy98qt4 334 33 the the DT cord-331771-fhy98qt4 334 34 effect effect NN cord-331771-fhy98qt4 334 35 of of IN cord-331771-fhy98qt4 334 36 imperfect imperfect JJ cord-331771-fhy98qt4 334 37 vaccines vaccine NNS cord-331771-fhy98qt4 334 38 on on IN cord-331771-fhy98qt4 334 39 disease disease NN cord-331771-fhy98qt4 334 40 epidemiology epidemiology NN cord-331771-fhy98qt4 334 41 Interplay interplay NN cord-331771-fhy98qt4 334 42 between between IN cord-331771-fhy98qt4 334 43 cost cost NN cord-331771-fhy98qt4 334 44 and and CC cord-331771-fhy98qt4 334 45 effectiveness effectiveness NN cord-331771-fhy98qt4 334 46 in in IN cord-331771-fhy98qt4 334 47 influenza influenza JJ cord-331771-fhy98qt4 334 48 vaccine vaccine NN cord-331771-fhy98qt4 334 49 uptake uptake NN cord-331771-fhy98qt4 334 50 : : : cord-331771-fhy98qt4 334 51 a a DT cord-331771-fhy98qt4 334 52 vaccination vaccination NN cord-331771-fhy98qt4 334 53 game game NN cord-331771-fhy98qt4 334 54 approach approach NN cord-331771-fhy98qt4 334 55 Is be VBZ cord-331771-fhy98qt4 334 56 subsidizing subsidize VBG cord-331771-fhy98qt4 334 57 vaccination vaccination NN cord-331771-fhy98qt4 334 58 with with IN cord-331771-fhy98qt4 334 59 hub hub NN cord-331771-fhy98qt4 334 60 agent agent NN cord-331771-fhy98qt4 334 61 priority priority NN cord-331771-fhy98qt4 334 62 policy policy NN cord-331771-fhy98qt4 334 63 really really RB cord-331771-fhy98qt4 334 64 meaningful meaningful JJ cord-331771-fhy98qt4 334 65 to to TO cord-331771-fhy98qt4 334 66 suppress suppress VB cord-331771-fhy98qt4 334 67 disease disease NN cord-331771-fhy98qt4 334 68 spreading spread VBG cord-331771-fhy98qt4 334 69 Braess Braess NNP cord-331771-fhy98qt4 334 70 's 's POS cord-331771-fhy98qt4 334 71 paradox paradox NN cord-331771-fhy98qt4 334 72 in in IN cord-331771-fhy98qt4 334 73 epidemic epidemic NN cord-331771-fhy98qt4 334 74 game game NN cord-331771-fhy98qt4 334 75 : : : cord-331771-fhy98qt4 334 76 better well JJR cord-331771-fhy98qt4 334 77 condition condition NN cord-331771-fhy98qt4 334 78 results result NNS cord-331771-fhy98qt4 334 79 in in IN cord-331771-fhy98qt4 334 80 less less JJR cord-331771-fhy98qt4 334 81 payoff payoff NN cord-331771-fhy98qt4 334 82 Modelling modelling NN cord-331771-fhy98qt4 334 83 and and CC cord-331771-fhy98qt4 334 84 analysing analyse VBG cord-331771-fhy98qt4 334 85 the the DT cord-331771-fhy98qt4 334 86 coexistence coexistence NN cord-331771-fhy98qt4 334 87 of of IN cord-331771-fhy98qt4 334 88 dual dual JJ cord-331771-fhy98qt4 334 89 dilemmas dilemma NNS cord-331771-fhy98qt4 334 90 in in IN cord-331771-fhy98qt4 334 91 the the DT cord-331771-fhy98qt4 334 92 proactive proactive JJ cord-331771-fhy98qt4 334 93 vaccination vaccination NN cord-331771-fhy98qt4 334 94 game game NN cord-331771-fhy98qt4 334 95 and and CC cord-331771-fhy98qt4 334 96 retroactive retroactive JJ cord-331771-fhy98qt4 334 97 treatment treatment NN cord-331771-fhy98qt4 334 98 game game NN cord-331771-fhy98qt4 334 99 in in IN cord-331771-fhy98qt4 334 100 epidemic epidemic JJ cord-331771-fhy98qt4 334 101 viral viral JJ cord-331771-fhy98qt4 334 102 dynamics dynamic NNS cord-331771-fhy98qt4 334 103 Saving save VBG cord-331771-fhy98qt4 334 104 human human JJ cord-331771-fhy98qt4 334 105 lives life NNS cord-331771-fhy98qt4 334 106 : : : cord-331771-fhy98qt4 335 1 what what WDT cord-331771-fhy98qt4 335 2 complexity complexity NN cord-331771-fhy98qt4 335 3 science science NN cord-331771-fhy98qt4 335 4 and and CC cord-331771-fhy98qt4 335 5 information information NN cord-331771-fhy98qt4 335 6 systems system NNS cord-331771-fhy98qt4 335 7 can can MD cord-331771-fhy98qt4 335 8 contribute contribute VB cord-331771-fhy98qt4 335 9 Coupled coupled JJ cord-331771-fhy98qt4 335 10 disease disease NN cord-331771-fhy98qt4 335 11 - - HYPH cord-331771-fhy98qt4 335 12 behavior behavior NN cord-331771-fhy98qt4 335 13 dynamics dynamic NNS cord-331771-fhy98qt4 335 14 on on IN cord-331771-fhy98qt4 335 15 complex complex JJ cord-331771-fhy98qt4 335 16 networks network NNS cord-331771-fhy98qt4 335 17 : : : cord-331771-fhy98qt4 335 18 a a DT cord-331771-fhy98qt4 335 19 review review NN cord-331771-fhy98qt4 335 20 Statistical statistical JJ cord-331771-fhy98qt4 335 21 physics physics NN cord-331771-fhy98qt4 335 22 of of IN cord-331771-fhy98qt4 335 23 vaccination vaccination NN cord-331771-fhy98qt4 335 24 Effect effect NN cord-331771-fhy98qt4 335 25 of of IN cord-331771-fhy98qt4 335 26 information information NN cord-331771-fhy98qt4 335 27 spreading spread VBG cord-331771-fhy98qt4 335 28 to to TO cord-331771-fhy98qt4 335 29 suppress suppress VB cord-331771-fhy98qt4 335 30 the the DT cord-331771-fhy98qt4 335 31 disease disease NN cord-331771-fhy98qt4 335 32 contagion contagion NN cord-331771-fhy98qt4 335 33 on on IN cord-331771-fhy98qt4 335 34 the the DT cord-331771-fhy98qt4 335 35 epidemic epidemic NN cord-331771-fhy98qt4 335 36 vaccination vaccination NN cord-331771-fhy98qt4 335 37 game game NN cord-331771-fhy98qt4 335 38 Coupling Coupling NNP cord-331771-fhy98qt4 335 39 dynamics dynamic NNS cord-331771-fhy98qt4 335 40 of of IN cord-331771-fhy98qt4 335 41 epidemic epidemic NN cord-331771-fhy98qt4 335 42 spreading spreading NN cord-331771-fhy98qt4 335 43 and and CC cord-331771-fhy98qt4 335 44 information information NN cord-331771-fhy98qt4 335 45 diffusion diffusion NN cord-331771-fhy98qt4 335 46 on on IN cord-331771-fhy98qt4 335 47 complex complex JJ cord-331771-fhy98qt4 335 48 networks network NNS cord-331771-fhy98qt4 335 49 Analysis Analysis NNP cord-331771-fhy98qt4 335 50 of of IN cord-331771-fhy98qt4 335 51 sir sir NNP cord-331771-fhy98qt4 335 52 epidemic epidemic NN cord-331771-fhy98qt4 335 53 model model NN cord-331771-fhy98qt4 335 54 with with IN cord-331771-fhy98qt4 335 55 information information NN cord-331771-fhy98qt4 335 56 spreading spread VBG cord-331771-fhy98qt4 335 57 of of IN cord-331771-fhy98qt4 336 1 awareness awareness NN cord-331771-fhy98qt4 336 2 Coevolution Coevolution NNP cord-331771-fhy98qt4 336 3 spreading spread VBG cord-331771-fhy98qt4 336 4 in in IN cord-331771-fhy98qt4 336 5 complex complex JJ cord-331771-fhy98qt4 336 6 networks network NNS cord-331771-fhy98qt4 337 1 The the DT cord-331771-fhy98qt4 337 2 rumouring rumouring NN cord-331771-fhy98qt4 337 3 of of IN cord-331771-fhy98qt4 337 4 sars sars NNP cord-331771-fhy98qt4 337 5 during during IN cord-331771-fhy98qt4 337 6 the the DT cord-331771-fhy98qt4 337 7 2003 2003 CD cord-331771-fhy98qt4 337 8 epidemic epidemic NN cord-331771-fhy98qt4 337 9 in in IN cord-331771-fhy98qt4 337 10 china china NNP cord-331771-fhy98qt4 337 11 Vaccination Vaccination NNP cord-331771-fhy98qt4 337 12 strategies strategy NNS cord-331771-fhy98qt4 337 13 in in IN cord-331771-fhy98qt4 337 14 a a DT cord-331771-fhy98qt4 337 15 two two CD cord-331771-fhy98qt4 337 16 - - HYPH cord-331771-fhy98qt4 337 17 layer layer NN cord-331771-fhy98qt4 337 18 sir sir NN cord-331771-fhy98qt4 337 19 / / SYM cord-331771-fhy98qt4 337 20 v v NNP cord-331771-fhy98qt4 337 21 - - HYPH cord-331771-fhy98qt4 337 22 ua ua NNP cord-331771-fhy98qt4 337 23 epidemic epidemic NN cord-331771-fhy98qt4 337 24 model model NN cord-331771-fhy98qt4 337 25 with with IN cord-331771-fhy98qt4 337 26 costly costly JJ cord-331771-fhy98qt4 337 27 information information NN cord-331771-fhy98qt4 337 28 and and CC cord-331771-fhy98qt4 337 29 buzz buzz NN cord-331771-fhy98qt4 338 1 effect effect VB cord-331771-fhy98qt4 338 2 A a DT cord-331771-fhy98qt4 338 3 solution solution NN cord-331771-fhy98qt4 338 4 to to IN cord-331771-fhy98qt4 338 5 the the DT cord-331771-fhy98qt4 338 6 single single JJ cord-331771-fhy98qt4 338 7 - - HYPH cord-331771-fhy98qt4 338 8 question question NN cord-331771-fhy98qt4 338 9 crowd crowd NN cord-331771-fhy98qt4 338 10 wisdom wisdom NN cord-331771-fhy98qt4 338 11 problem problem NN cord-331771-fhy98qt4 338 12 Asymmetrically asymmetrically RB cord-331771-fhy98qt4 338 13 interacting interact VBG cord-331771-fhy98qt4 338 14 spreading spread VBG cord-331771-fhy98qt4 338 15 dynamics dynamic NNS cord-331771-fhy98qt4 338 16 on on IN cord-331771-fhy98qt4 338 17 complex complex JJ cord-331771-fhy98qt4 338 18 layered layer VBN cord-331771-fhy98qt4 338 19 networks network NNS cord-331771-fhy98qt4 338 20 Identifying identify VBG cord-331771-fhy98qt4 338 21 the the DT cord-331771-fhy98qt4 338 22 direct direct JJ cord-331771-fhy98qt4 338 23 risk risk NN cord-331771-fhy98qt4 338 24 source source NN cord-331771-fhy98qt4 338 25 to to TO cord-331771-fhy98qt4 338 26 contain contain VB cord-331771-fhy98qt4 338 27 epidemics epidemic NNS cord-331771-fhy98qt4 338 28 more more RBR cord-331771-fhy98qt4 338 29 effectively effectively RB cord-331771-fhy98qt4 338 30 How how WRB cord-331771-fhy98qt4 338 31 the the DT cord-331771-fhy98qt4 338 32 individuals individual NNS cord-331771-fhy98qt4 338 33 ' ' POS cord-331771-fhy98qt4 338 34 risk risk NN cord-331771-fhy98qt4 338 35 aversion aversion NN cord-331771-fhy98qt4 338 36 affect affect VBP cord-331771-fhy98qt4 338 37 the the DT cord-331771-fhy98qt4 338 38 epidemic epidemic NN cord-331771-fhy98qt4 338 39 spreading spread VBG cord-331771-fhy98qt4 338 40 Dynamical dynamical JJ cord-331771-fhy98qt4 338 41 interplay interplay NN cord-331771-fhy98qt4 338 42 between between IN cord-331771-fhy98qt4 338 43 awareness awareness NN cord-331771-fhy98qt4 338 44 and and CC cord-331771-fhy98qt4 338 45 epidemic epidemic NN cord-331771-fhy98qt4 338 46 spreading spread VBG cord-331771-fhy98qt4 338 47 in in IN cord-331771-fhy98qt4 338 48 multiplex multiplex NN cord-331771-fhy98qt4 338 49 networks network NNS cord-331771-fhy98qt4 338 50 Suppressing suppress VBG cord-331771-fhy98qt4 338 51 disease disease NN cord-331771-fhy98qt4 338 52 spreading spread VBG cord-331771-fhy98qt4 338 53 by by IN cord-331771-fhy98qt4 338 54 using use VBG cord-331771-fhy98qt4 338 55 information information NN cord-331771-fhy98qt4 338 56 diffusion diffusion NN cord-331771-fhy98qt4 338 57 on on IN cord-331771-fhy98qt4 338 58 multiplex multiplex JJ cord-331771-fhy98qt4 338 59 networks network NNS cord-331771-fhy98qt4 339 1 The the DT cord-331771-fhy98qt4 339 2 impact impact NN cord-331771-fhy98qt4 339 3 of of IN cord-331771-fhy98qt4 339 4 awareness awareness NN cord-331771-fhy98qt4 339 5 diffusion diffusion NN cord-331771-fhy98qt4 339 6 on on IN cord-331771-fhy98qt4 339 7 sir sir NNP cord-331771-fhy98qt4 339 8 - - HYPH cord-331771-fhy98qt4 339 9 like like JJ cord-331771-fhy98qt4 339 10 epidemics epidemic NNS cord-331771-fhy98qt4 339 11 in in IN cord-331771-fhy98qt4 339 12 multiplex multiplex NN cord-331771-fhy98qt4 339 13 networks network NNS cord-331771-fhy98qt4 339 14 Interplay interplay JJ cord-331771-fhy98qt4 339 15 between between IN cord-331771-fhy98qt4 339 16 sir sir NN cord-331771-fhy98qt4 339 17 - - HYPH cord-331771-fhy98qt4 339 18 based base VBN cord-331771-fhy98qt4 339 19 disease disease NN cord-331771-fhy98qt4 339 20 spreading spread VBG cord-331771-fhy98qt4 339 21 and and CC cord-331771-fhy98qt4 339 22 awareness awareness NN cord-331771-fhy98qt4 339 23 diffusion diffusion NN cord-331771-fhy98qt4 339 24 on on IN cord-331771-fhy98qt4 339 25 multiplex multiplex JJ cord-331771-fhy98qt4 339 26 networks network NNS cord-331771-fhy98qt4 340 1 Epidemic epidemic NN cord-331771-fhy98qt4 340 2 spreading spread VBG cord-331771-fhy98qt4 340 3 with with IN cord-331771-fhy98qt4 340 4 activity activity NN cord-331771-fhy98qt4 340 5 - - HYPH cord-331771-fhy98qt4 340 6 driven drive VBN cord-331771-fhy98qt4 340 7 awareness awareness NN cord-331771-fhy98qt4 340 8 diffusion diffusion NN cord-331771-fhy98qt4 340 9 on on IN cord-331771-fhy98qt4 340 10 multiplex multiplex JJ cord-331771-fhy98qt4 340 11 network network NN cord-331771-fhy98qt4 340 12 Analysis analysis NN cord-331771-fhy98qt4 340 13 of of IN cord-331771-fhy98qt4 340 14 epidemic epidemic NN cord-331771-fhy98qt4 340 15 outbreaks outbreak NNS cord-331771-fhy98qt4 340 16 in in IN cord-331771-fhy98qt4 340 17 two two CD cord-331771-fhy98qt4 340 18 - - HYPH cord-331771-fhy98qt4 340 19 layer layer NN cord-331771-fhy98qt4 340 20 networks network NNS cord-331771-fhy98qt4 340 21 with with IN cord-331771-fhy98qt4 340 22 different different JJ cord-331771-fhy98qt4 340 23 structures structure NNS cord-331771-fhy98qt4 340 24 for for IN cord-331771-fhy98qt4 340 25 information information NN cord-331771-fhy98qt4 340 26 spreading spread VBG cord-331771-fhy98qt4 340 27 and and CC cord-331771-fhy98qt4 340 28 disease disease NN cord-331771-fhy98qt4 340 29 diffusion diffusion NN cord-331771-fhy98qt4 341 1 The the DT cord-331771-fhy98qt4 341 2 impact impact NN cord-331771-fhy98qt4 341 3 of of IN cord-331771-fhy98qt4 341 4 information information NN cord-331771-fhy98qt4 341 5 spreading spread VBG cord-331771-fhy98qt4 341 6 on on IN cord-331771-fhy98qt4 341 7 epidemic epidemic NN cord-331771-fhy98qt4 341 8 vaccination vaccination NN cord-331771-fhy98qt4 341 9 game game NN cord-331771-fhy98qt4 341 10 dynamics dynamic NNS cord-331771-fhy98qt4 341 11 in in IN cord-331771-fhy98qt4 341 12 a a DT cord-331771-fhy98qt4 341 13 heterogeneous heterogeneous JJ cord-331771-fhy98qt4 341 14 complex complex JJ cord-331771-fhy98qt4 341 15 networka networka JJ cord-331771-fhy98qt4 341 16 theoretical theoretical JJ cord-331771-fhy98qt4 341 17 approach approach NN cord-331771-fhy98qt4 342 1 A a DT cord-331771-fhy98qt4 342 2 colored colored JJ cord-331771-fhy98qt4 342 3 mean mean JJ cord-331771-fhy98qt4 342 4 - - HYPH cord-331771-fhy98qt4 342 5 field field NN cord-331771-fhy98qt4 342 6 model model NN cord-331771-fhy98qt4 342 7 for for IN cord-331771-fhy98qt4 342 8 analyzing analyze VBG cord-331771-fhy98qt4 342 9 the the DT cord-331771-fhy98qt4 342 10 effects effect NNS cord-331771-fhy98qt4 342 11 of of IN cord-331771-fhy98qt4 342 12 awareness awareness NN cord-331771-fhy98qt4 342 13 on on IN cord-331771-fhy98qt4 342 14 epidemic epidemic NN cord-331771-fhy98qt4 342 15 spreading spread VBG cord-331771-fhy98qt4 342 16 in in IN cord-331771-fhy98qt4 342 17 multiplex multiplex NN cord-331771-fhy98qt4 342 18 networks network NNS cord-331771-fhy98qt4 342 19 Collective collective JJ cord-331771-fhy98qt4 342 20 dynamics dynamic NNS cord-331771-fhy98qt4 342 21 of of IN cord-331771-fhy98qt4 342 22 small small JJ cord-331771-fhy98qt4 342 23 - - HYPH cord-331771-fhy98qt4 342 24 world world NN cord-331771-fhy98qt4 342 25 networks network NNS cord-331771-fhy98qt4 343 1 Dynamical dynamical JJ cord-331771-fhy98qt4 343 2 analysis analysis NN cord-331771-fhy98qt4 343 3 of of IN cord-331771-fhy98qt4 343 4 rumor rumor NN cord-331771-fhy98qt4 343 5 spreading spreading NN cord-331771-fhy98qt4 343 6 model model NN cord-331771-fhy98qt4 343 7 in in IN cord-331771-fhy98qt4 343 8 homogeneous homogeneous JJ cord-331771-fhy98qt4 343 9 complex complex JJ cord-331771-fhy98qt4 343 10 networks network NNS cord-331771-fhy98qt4 344 1 Stochastic stochastic JJ cord-331771-fhy98qt4 344 2 rumours rumour NNS cord-331771-fhy98qt4 344 3 Modeling Modeling NNP cord-331771-fhy98qt4 344 4 cyber cyber JJ cord-331771-fhy98qt4 344 5 rumor rumor NN cord-331771-fhy98qt4 344 6 spreading spread VBG cord-331771-fhy98qt4 344 7 over over IN cord-331771-fhy98qt4 344 8 mobile mobile JJ cord-331771-fhy98qt4 344 9 social social JJ cord-331771-fhy98qt4 344 10 networks network NNS cord-331771-fhy98qt4 344 11 : : : cord-331771-fhy98qt4 345 1 a a DT cord-331771-fhy98qt4 345 2 compartment compartment NN cord-331771-fhy98qt4 345 3 approach approach NN cord-331771-fhy98qt4 345 4 Tips tip VBZ cord-331771-fhy98qt4 345 5 for for IN cord-331771-fhy98qt4 345 6 choosing choose VBG cord-331771-fhy98qt4 345 7 and and CC cord-331771-fhy98qt4 345 8 using use VBG cord-331771-fhy98qt4 345 9 masks mask NNS cord-331771-fhy98qt4 345 10 to to TO cord-331771-fhy98qt4 345 11 prevent prevent VB cord-331771-fhy98qt4 345 12 novel novel NN cord-331771-fhy98qt4 345 13 coronavirus coronavirus NN cord-331771-fhy98qt4 345 14 Specialized Specialized NNP cord-331771-fhy98qt4 345 15 zone zone NN cord-331771-fhy98qt4 345 16 for for IN cord-331771-fhy98qt4 345 17 rumor rumor NN cord-331771-fhy98qt4 345 18 - - HYPH cord-331771-fhy98qt4 345 19 refuting refuting NN cord-331771-fhy98qt4 345 20 during during IN cord-331771-fhy98qt4 345 21 the the DT cord-331771-fhy98qt4 345 22 2019-ncov 2019-ncov CD cord-331771-fhy98qt4 345 23 epidemic epidemic NN cord-331771-fhy98qt4 345 24 Dynamical dynamical JJ cord-331771-fhy98qt4 345 25 and and CC cord-331771-fhy98qt4 345 26 correlation correlation NN cord-331771-fhy98qt4 345 27 properties property NNS cord-331771-fhy98qt4 345 28 of of IN cord-331771-fhy98qt4 345 29 the the DT cord-331771-fhy98qt4 345 30 internet internet NN cord-331771-fhy98qt4 345 31 Immunization immunization NN cord-331771-fhy98qt4 345 32 of of IN cord-331771-fhy98qt4 345 33 complex complex JJ cord-331771-fhy98qt4 345 34 networks network NNS cord-331771-fhy98qt4 346 1 Rumor rumor NN cord-331771-fhy98qt4 346 2 spreading spread VBG cord-331771-fhy98qt4 346 3 model model NN cord-331771-fhy98qt4 346 4 considering consider VBG cord-331771-fhy98qt4 346 5 forgetting forget VBG cord-331771-fhy98qt4 346 6 and and CC cord-331771-fhy98qt4 346 7 remembering remember VBG cord-331771-fhy98qt4 346 8 mechanisms mechanism NNS cord-331771-fhy98qt4 346 9 in in IN cord-331771-fhy98qt4 346 10 inhomogeneous inhomogeneous JJ cord-331771-fhy98qt4 346 11 networks network NNS cord-331771-fhy98qt4 346 12 Rumor rumor NN cord-331771-fhy98qt4 346 13 spreading spread VBG cord-331771-fhy98qt4 346 14 model model NN cord-331771-fhy98qt4 346 15 with with IN cord-331771-fhy98qt4 346 16 consideration consideration NN cord-331771-fhy98qt4 346 17 of of IN cord-331771-fhy98qt4 346 18 forgetting forget VBG cord-331771-fhy98qt4 346 19 mechanism mechanism NN cord-331771-fhy98qt4 346 20 : : : cord-331771-fhy98qt4 346 21 a a DT cord-331771-fhy98qt4 346 22 case case NN cord-331771-fhy98qt4 346 23 of of IN cord-331771-fhy98qt4 346 24 online online JJ cord-331771-fhy98qt4 346 25 blogging blogge VBG cord-331771-fhy98qt4 346 26 livejournal livejournal NNP cord-331771-fhy98qt4 346 27 A a DT cord-331771-fhy98qt4 346 28 rumor rumor NN cord-331771-fhy98qt4 346 29 spreading spread VBG cord-331771-fhy98qt4 346 30 model model NN cord-331771-fhy98qt4 346 31 with with IN cord-331771-fhy98qt4 346 32 variable variable JJ cord-331771-fhy98qt4 346 33 forgetting forget VBG cord-331771-fhy98qt4 346 34 rate rate NN cord-331771-fhy98qt4 346 35 What what WP cord-331771-fhy98qt4 346 36 makes make VBZ cord-331771-fhy98qt4 346 37 online online JJ cord-331771-fhy98qt4 346 38 content content NN cord-331771-fhy98qt4 346 39 viral viral JJ cord-331771-fhy98qt4 346 40 ? ? . cord-331771-fhy98qt4 347 1 Epidemic epidemic NN cord-331771-fhy98qt4 347 2 spreading spread VBG cord-331771-fhy98qt4 347 3 in in IN cord-331771-fhy98qt4 347 4 scale scale NN cord-331771-fhy98qt4 347 5 - - HYPH cord-331771-fhy98qt4 347 6 free free JJ cord-331771-fhy98qt4 347 7 networks network NNS cord-331771-fhy98qt4 348 1 The the DT cord-331771-fhy98qt4 348 2 impact impact NN cord-331771-fhy98qt4 348 3 of of IN cord-331771-fhy98qt4 348 4 awareness awareness NN cord-331771-fhy98qt4 348 5 on on IN cord-331771-fhy98qt4 348 6 epidemic epidemic NN cord-331771-fhy98qt4 348 7 spreading spread VBG cord-331771-fhy98qt4 348 8 in in IN cord-331771-fhy98qt4 348 9 networks network NNS cord-331771-fhy98qt4 348 10 Epidemic epidemic NN cord-331771-fhy98qt4 348 11 spreading spread VBG cord-331771-fhy98qt4 348 12 on on IN cord-331771-fhy98qt4 348 13 heterogeneous heterogeneous JJ cord-331771-fhy98qt4 348 14 networks network NNS cord-331771-fhy98qt4 348 15 with with IN cord-331771-fhy98qt4 348 16 identical identical JJ cord-331771-fhy98qt4 348 17 infectivity infectivity NN cord-331771-fhy98qt4 348 18 Epidemic epidemic NN cord-331771-fhy98qt4 348 19 spreading spread VBG cord-331771-fhy98qt4 348 20 in in IN cord-331771-fhy98qt4 348 21 correlated correlate VBN cord-331771-fhy98qt4 348 22 complex complex JJ cord-331771-fhy98qt4 348 23 networks network NNS cord-331771-fhy98qt4 348 24 Thresholds threshold NNS cord-331771-fhy98qt4 348 25 for for IN cord-331771-fhy98qt4 348 26 epidemic epidemic NN cord-331771-fhy98qt4 348 27 spreading spread VBG cord-331771-fhy98qt4 348 28 in in IN cord-331771-fhy98qt4 348 29 networks network NNS cord-331771-fhy98qt4 348 30 Epidemic epidemic NN cord-331771-fhy98qt4 348 31 spreading spread VBG cord-331771-fhy98qt4 348 32 on on IN cord-331771-fhy98qt4 348 33 weighted weighted JJ cord-331771-fhy98qt4 348 34 complex complex JJ cord-331771-fhy98qt4 348 35 networks network NNS cord-331771-fhy98qt4 348 36 Global global JJ cord-331771-fhy98qt4 348 37 dynamics dynamic NNS cord-331771-fhy98qt4 348 38 of of IN cord-331771-fhy98qt4 348 39 an an DT cord-331771-fhy98qt4 348 40 seis seis NNP cord-331771-fhy98qt4 348 41 epidemic epidemic NN cord-331771-fhy98qt4 348 42 model model NN cord-331771-fhy98qt4 348 43 with with IN cord-331771-fhy98qt4 348 44 saturation saturation NN cord-331771-fhy98qt4 348 45 incidence incidence NN cord-331771-fhy98qt4 348 46 and and CC cord-331771-fhy98qt4 348 47 latent latent JJ cord-331771-fhy98qt4 348 48 period period NN cord-331771-fhy98qt4 349 1 An an DT cord-331771-fhy98qt4 349 2 seis seis NNP cord-331771-fhy98qt4 349 3 epidemic epidemic NN cord-331771-fhy98qt4 349 4 model model NN cord-331771-fhy98qt4 349 5 with with IN cord-331771-fhy98qt4 349 6 transport transport NN cord-331771-fhy98qt4 349 7 - - HYPH cord-331771-fhy98qt4 349 8 related relate VBN cord-331771-fhy98qt4 349 9 infection infection NN cord-331771-fhy98qt4 349 10 Efficient efficient JJ cord-331771-fhy98qt4 349 11 immunization immunization NN cord-331771-fhy98qt4 349 12 strategies strategy NNS cord-331771-fhy98qt4 349 13 on on IN cord-331771-fhy98qt4 349 14 complex complex JJ cord-331771-fhy98qt4 349 15 networks network NNS cord-331771-fhy98qt4 350 1 A a DT cord-331771-fhy98qt4 350 2 belief belief NN cord-331771-fhy98qt4 350 3 - - HYPH cord-331771-fhy98qt4 350 4 based base VBN cord-331771-fhy98qt4 350 5 model model NN cord-331771-fhy98qt4 350 6 for for IN cord-331771-fhy98qt4 350 7 characterizing characterize VBG cord-331771-fhy98qt4 350 8 the the DT cord-331771-fhy98qt4 350 9 spread spread NN cord-331771-fhy98qt4 350 10 of of IN cord-331771-fhy98qt4 350 11 awareness awareness NN cord-331771-fhy98qt4 350 12 and and CC cord-331771-fhy98qt4 350 13 its -PRON- PRP$ cord-331771-fhy98qt4 350 14 impacts impact NNS cord-331771-fhy98qt4 350 15 on on IN cord-331771-fhy98qt4 350 16 individuals individual NNS cord-331771-fhy98qt4 350 17 ' ' POS cord-331771-fhy98qt4 350 18 vaccination vaccination NN cord-331771-fhy98qt4 350 19 decisions decision VBZ cord-331771-fhy98qt4 350 20 The the DT cord-331771-fhy98qt4 350 21 small small JJ cord-331771-fhy98qt4 350 22 world world NN cord-331771-fhy98qt4 350 23 yields yield VBZ cord-331771-fhy98qt4 350 24 the the DT cord-331771-fhy98qt4 350 25 most most RBS cord-331771-fhy98qt4 350 26 effective effective JJ cord-331771-fhy98qt4 350 27 information information NN cord-331771-fhy98qt4 350 28 spreading spread VBG cord-331771-fhy98qt4 350 29 Absence absence NN cord-331771-fhy98qt4 350 30 of of IN cord-331771-fhy98qt4 350 31 epidemic epidemic NN cord-331771-fhy98qt4 350 32 threshold threshold NN cord-331771-fhy98qt4 350 33 in in IN cord-331771-fhy98qt4 350 34 scale scale NN cord-331771-fhy98qt4 350 35 - - HYPH cord-331771-fhy98qt4 350 36 free free JJ cord-331771-fhy98qt4 350 37 networks network NNS cord-331771-fhy98qt4 350 38 with with IN cord-331771-fhy98qt4 350 39 degree degree NN cord-331771-fhy98qt4 350 40 correlations correlation NNS cord-331771-fhy98qt4 350 41 This this DT cord-331771-fhy98qt4 350 42 work work NN cord-331771-fhy98qt4 350 43 is be VBZ cord-331771-fhy98qt4 350 44 supported support VBN cord-331771-fhy98qt4 350 45 by by IN cord-331771-fhy98qt4 350 46 Social Social NNP cord-331771-fhy98qt4 350 47 Science Science NNP cord-331771-fhy98qt4 350 48 Foundation Foundation NNP cord-331771-fhy98qt4 350 49 of of IN cord-331771-fhy98qt4 350 50 Beijing Beijing NNP cord-331771-fhy98qt4 350 51 Municipality Municipality NNP cord-331771-fhy98qt4 350 52 ( ( -LRB- cord-331771-fhy98qt4 350 53 Grant Grant NNP cord-331771-fhy98qt4 350 54 # # NN cord-331771-fhy98qt4 350 55 : : : cord-331771-fhy98qt4 350 56 18GLA009 18gla009 LS cord-331771-fhy98qt4 350 57 ) ) -RRB- cord-331771-fhy98qt4 350 58 and and CC cord-331771-fhy98qt4 350 59 Specialized Specialized NNP cord-331771-fhy98qt4 350 60 Foundation Foundation NNP cord-331771-fhy98qt4 350 61 of of IN cord-331771-fhy98qt4 350 62 Beijing Beijing NNP cord-331771-fhy98qt4 350 63 Wuzi Wuzi NNP cord-331771-fhy98qt4 350 64 University University NNP cord-331771-fhy98qt4 350 65 ( ( -LRB- cord-331771-fhy98qt4 350 66 Grant Grant NNP cord-331771-fhy98qt4 350 67 # # NN cord-331771-fhy98qt4 350 68 : : : cord-331771-fhy98qt4 350 69 2019XJQN07 2019xjqn07 CD cord-331771-fhy98qt4 350 70 , , , cord-331771-fhy98qt4 350 71 2020YQYJ01 2020yqyj01 CD cord-331771-fhy98qt4 350 72 ) ) -RRB- cord-331771-fhy98qt4 350 73 . . . cord-331771-fhy98qt4 351 1 Supplementary supplementary JJ cord-331771-fhy98qt4 351 2 material material NN cord-331771-fhy98qt4 351 3 associated associate VBN cord-331771-fhy98qt4 351 4 with with IN cord-331771-fhy98qt4 351 5 this this DT cord-331771-fhy98qt4 351 6 article article NN cord-331771-fhy98qt4 351 7 can can MD cord-331771-fhy98qt4 351 8 be be VB cord-331771-fhy98qt4 351 9 found find VBN cord-331771-fhy98qt4 351 10 , , , cord-331771-fhy98qt4 351 11 in in IN cord-331771-fhy98qt4 351 12 the the DT cord-331771-fhy98qt4 351 13 online online JJ cord-331771-fhy98qt4 351 14 version version NN cord-331771-fhy98qt4 351 15 , , , cord-331771-fhy98qt4 351 16 at at IN cord-331771-fhy98qt4 351 17 10.1016 10.1016 CD cord-331771-fhy98qt4 351 18 / / SYM cord-331771-fhy98qt4 351 19 j.amc.2020.125536 j.amc.2020.125536 NN