id sid tid token lemma pos cord-125330-jyppul4o 1 1 key key JJ cord-125330-jyppul4o 1 2 : : : cord-125330-jyppul4o 1 3 cord-125330-jyppul4o cord-125330-jyppul4o NNS cord-125330-jyppul4o 1 4 authors author NNS cord-125330-jyppul4o 1 5 : : : cord-125330-jyppul4o 1 6 Crokidakis Crokidakis NNP cord-125330-jyppul4o 1 7 , , , cord-125330-jyppul4o 1 8 Nuno Nuno NNP cord-125330-jyppul4o 1 9 ; ; : cord-125330-jyppul4o 1 10 Sigaud Sigaud NNP cord-125330-jyppul4o 1 11 , , , cord-125330-jyppul4o 1 12 Lucas Lucas NNP cord-125330-jyppul4o 1 13 title title NN cord-125330-jyppul4o 1 14 : : : cord-125330-jyppul4o 2 1 Modeling model VBG cord-125330-jyppul4o 2 2 the the DT cord-125330-jyppul4o 2 3 evolution evolution NN cord-125330-jyppul4o 2 4 of of IN cord-125330-jyppul4o 2 5 drinking drinking NN cord-125330-jyppul4o 2 6 behavior behavior NN cord-125330-jyppul4o 2 7 : : : cord-125330-jyppul4o 3 1 A a DT cord-125330-jyppul4o 3 2 Statistical Statistical NNP cord-125330-jyppul4o 3 3 Physics Physics NNP cord-125330-jyppul4o 3 4 perspective perspective NN cord-125330-jyppul4o 3 5 date date NN cord-125330-jyppul4o 3 6 : : : cord-125330-jyppul4o 3 7 2020 2020 CD cord-125330-jyppul4o 3 8 - - HYPH cord-125330-jyppul4o 3 9 08 08 CD cord-125330-jyppul4o 3 10 - - HYPH cord-125330-jyppul4o 3 11 24 24 CD cord-125330-jyppul4o 3 12 journal journal NN cord-125330-jyppul4o 3 13 : : : cord-125330-jyppul4o 4 1 nan nan NNP cord-125330-jyppul4o 4 2 DOI DOI NNP cord-125330-jyppul4o 4 3 : : : cord-125330-jyppul4o 4 4 nan nan NNP cord-125330-jyppul4o 4 5 sha sha NNP cord-125330-jyppul4o 4 6 : : : cord-125330-jyppul4o 5 1 76cf3616c9427fb37801b8a34b71b2d9c9602725 76cf3616c9427fb37801b8a34b71b2d9c9602725 CD cord-125330-jyppul4o 5 2 doc_id doc_id CD cord-125330-jyppul4o 5 3 : : : cord-125330-jyppul4o 5 4 125330 125330 CD cord-125330-jyppul4o 5 5 cord_uid cord_uid NNS cord-125330-jyppul4o 5 6 : : : cord-125330-jyppul4o 6 1 jyppul4o jyppul4o NNP cord-125330-jyppul4o 7 1 In in IN cord-125330-jyppul4o 7 2 this this DT cord-125330-jyppul4o 7 3 work work NN cord-125330-jyppul4o 7 4 we -PRON- PRP cord-125330-jyppul4o 7 5 study study VBP cord-125330-jyppul4o 7 6 a a DT cord-125330-jyppul4o 7 7 simple simple JJ cord-125330-jyppul4o 7 8 compartmental compartmental JJ cord-125330-jyppul4o 7 9 model model NN cord-125330-jyppul4o 7 10 for for IN cord-125330-jyppul4o 7 11 drinking drink VBG cord-125330-jyppul4o 7 12 behavior behavior NN cord-125330-jyppul4o 7 13 evolution evolution NN cord-125330-jyppul4o 7 14 . . . cord-125330-jyppul4o 8 1 The the DT cord-125330-jyppul4o 8 2 population population NN cord-125330-jyppul4o 8 3 is be VBZ cord-125330-jyppul4o 8 4 divided divide VBN cord-125330-jyppul4o 8 5 in in IN cord-125330-jyppul4o 8 6 3 3 CD cord-125330-jyppul4o 8 7 compartments compartment NNS cord-125330-jyppul4o 8 8 regarding regard VBG cord-125330-jyppul4o 8 9 their -PRON- PRP$ cord-125330-jyppul4o 8 10 alcohol alcohol NN cord-125330-jyppul4o 8 11 consumption consumption NN cord-125330-jyppul4o 8 12 , , , cord-125330-jyppul4o 8 13 namely namely RB cord-125330-jyppul4o 8 14 Susceptible susceptible JJ cord-125330-jyppul4o 8 15 individuals individual NNS cord-125330-jyppul4o 8 16 S S NNP cord-125330-jyppul4o 8 17 ( ( -LRB- cord-125330-jyppul4o 8 18 nonconsumers nonconsumers NNP cord-125330-jyppul4o 8 19 ) ) -RRB- cord-125330-jyppul4o 8 20 , , , cord-125330-jyppul4o 8 21 Moderated moderate VBN cord-125330-jyppul4o 8 22 drinkers drinker NNS cord-125330-jyppul4o 8 23 M M NNP cord-125330-jyppul4o 8 24 and and CC cord-125330-jyppul4o 8 25 Risk Risk NNP cord-125330-jyppul4o 8 26 drinkers drinker NNS cord-125330-jyppul4o 8 27 R. R. NNP cord-125330-jyppul4o 9 1 The the DT cord-125330-jyppul4o 9 2 transitions transition NNS cord-125330-jyppul4o 9 3 among among IN cord-125330-jyppul4o 9 4 those those DT cord-125330-jyppul4o 9 5 states state NNS cord-125330-jyppul4o 9 6 are be VBP cord-125330-jyppul4o 9 7 rules rule NNS cord-125330-jyppul4o 9 8 by by IN cord-125330-jyppul4o 9 9 probabilities probability NNS cord-125330-jyppul4o 9 10 . . . cord-125330-jyppul4o 10 1 Despite despite IN cord-125330-jyppul4o 10 2 the the DT cord-125330-jyppul4o 10 3 simplicity simplicity NN cord-125330-jyppul4o 10 4 of of IN cord-125330-jyppul4o 10 5 the the DT cord-125330-jyppul4o 10 6 model model NN cord-125330-jyppul4o 10 7 , , , cord-125330-jyppul4o 10 8 we -PRON- PRP cord-125330-jyppul4o 10 9 observed observe VBD cord-125330-jyppul4o 10 10 the the DT cord-125330-jyppul4o 10 11 occurrence occurrence NN cord-125330-jyppul4o 10 12 of of IN cord-125330-jyppul4o 10 13 two two CD cord-125330-jyppul4o 10 14 distinct distinct JJ cord-125330-jyppul4o 10 15 nonequilibrium nonequilibrium JJ cord-125330-jyppul4o 10 16 phase phase NN cord-125330-jyppul4o 10 17 transitions transition NNS cord-125330-jyppul4o 10 18 to to IN cord-125330-jyppul4o 10 19 absorbing absorb VBG cord-125330-jyppul4o 10 20 states state NNS cord-125330-jyppul4o 10 21 . . . cord-125330-jyppul4o 11 1 One one CD cord-125330-jyppul4o 11 2 of of IN cord-125330-jyppul4o 11 3 these these DT cord-125330-jyppul4o 11 4 states state NNS cord-125330-jyppul4o 11 5 is be VBZ cord-125330-jyppul4o 11 6 composed compose VBN cord-125330-jyppul4o 11 7 only only RB cord-125330-jyppul4o 11 8 by by IN cord-125330-jyppul4o 11 9 Susceptible susceptible JJ cord-125330-jyppul4o 11 10 individuals individual NNS cord-125330-jyppul4o 11 11 S S NNP cord-125330-jyppul4o 11 12 , , , cord-125330-jyppul4o 11 13 with with IN cord-125330-jyppul4o 11 14 no no DT cord-125330-jyppul4o 11 15 drinkers drinker NNS cord-125330-jyppul4o 11 16 ( ( -LRB- cord-125330-jyppul4o 11 17 $ $ $ cord-125330-jyppul4o 11 18 M m NN cord-125330-jyppul4o 11 19 = = SYM cord-125330-jyppul4o 11 20 R=0 R=0 NNP cord-125330-jyppul4o 11 21 $ $ $ cord-125330-jyppul4o 11 22 ) ) -RRB- cord-125330-jyppul4o 11 23 . . . cord-125330-jyppul4o 12 1 On on IN cord-125330-jyppul4o 12 2 the the DT cord-125330-jyppul4o 12 3 other other JJ cord-125330-jyppul4o 12 4 hand hand NN cord-125330-jyppul4o 12 5 , , , cord-125330-jyppul4o 12 6 the the DT cord-125330-jyppul4o 12 7 other other JJ cord-125330-jyppul4o 12 8 absorbing absorb VBG cord-125330-jyppul4o 12 9 state state NN cord-125330-jyppul4o 12 10 is be VBZ cord-125330-jyppul4o 12 11 composed compose VBN cord-125330-jyppul4o 12 12 only only RB cord-125330-jyppul4o 12 13 by by IN cord-125330-jyppul4o 12 14 Risk risk NN cord-125330-jyppul4o 12 15 drinkers drinker NNS cord-125330-jyppul4o 12 16 R r VBP cord-125330-jyppul4o 12 17 ( ( -LRB- cord-125330-jyppul4o 12 18 $ $ $ cord-125330-jyppul4o 12 19 S s NN cord-125330-jyppul4o 12 20 = = SYM cord-125330-jyppul4o 12 21 M=0 M=0 NNP cord-125330-jyppul4o 12 22 $ $ $ cord-125330-jyppul4o 12 23 ) ) -RRB- cord-125330-jyppul4o 12 24 . . . cord-125330-jyppul4o 13 1 Between between IN cord-125330-jyppul4o 13 2 these these DT cord-125330-jyppul4o 13 3 two two CD cord-125330-jyppul4o 13 4 steady steady JJ cord-125330-jyppul4o 13 5 states state NNS cord-125330-jyppul4o 13 6 , , , cord-125330-jyppul4o 13 7 we -PRON- PRP cord-125330-jyppul4o 13 8 have have VBP cord-125330-jyppul4o 13 9 the the DT cord-125330-jyppul4o 13 10 coexistence coexistence NN cord-125330-jyppul4o 13 11 of of IN cord-125330-jyppul4o 13 12 the the DT cord-125330-jyppul4o 13 13 three three CD cord-125330-jyppul4o 13 14 subpopulations subpopulation NNS cord-125330-jyppul4o 13 15 S S NNP cord-125330-jyppul4o 13 16 , , , cord-125330-jyppul4o 13 17 M M NNP cord-125330-jyppul4o 13 18 and and CC cord-125330-jyppul4o 13 19 R. R. NNP cord-125330-jyppul4o 13 20 Comparison Comparison NNP cord-125330-jyppul4o 13 21 with with IN cord-125330-jyppul4o 13 22 abusive abusive JJ cord-125330-jyppul4o 13 23 alcohol alcohol NN cord-125330-jyppul4o 13 24 consumption consumption NN cord-125330-jyppul4o 13 25 data datum NNS cord-125330-jyppul4o 13 26 for for IN cord-125330-jyppul4o 13 27 Brazil Brazil NNP cord-125330-jyppul4o 13 28 shows show VBZ cord-125330-jyppul4o 13 29 a a DT cord-125330-jyppul4o 13 30 good good JJ cord-125330-jyppul4o 13 31 agreement agreement NN cord-125330-jyppul4o 13 32 between between IN cord-125330-jyppul4o 13 33 the the DT cord-125330-jyppul4o 13 34 model model NN cord-125330-jyppul4o 13 35 's 's POS cord-125330-jyppul4o 13 36 results result NNS cord-125330-jyppul4o 13 37 and and CC cord-125330-jyppul4o 13 38 the the DT cord-125330-jyppul4o 13 39 database database NN cord-125330-jyppul4o 13 40 . . . cord-125330-jyppul4o 14 1 Epidemic epidemic NN cord-125330-jyppul4o 14 2 models model NNS cord-125330-jyppul4o 14 3 have have VBP cord-125330-jyppul4o 14 4 been be VBN cord-125330-jyppul4o 14 5 widely widely RB cord-125330-jyppul4o 14 6 used use VBN cord-125330-jyppul4o 14 7 to to TO cord-125330-jyppul4o 14 8 study study VB cord-125330-jyppul4o 14 9 contagion contagion NN cord-125330-jyppul4o 14 10 processes process NNS cord-125330-jyppul4o 14 11 such such JJ cord-125330-jyppul4o 14 12 as as IN cord-125330-jyppul4o 14 13 the the DT cord-125330-jyppul4o 14 14 spread spread NN cord-125330-jyppul4o 14 15 of of IN cord-125330-jyppul4o 14 16 infectious infectious JJ cord-125330-jyppul4o 14 17 diseases disease NNS cord-125330-jyppul4o 14 18 [ [ -LRB- cord-125330-jyppul4o 14 19 1 1 CD cord-125330-jyppul4o 14 20 ] ] -RRB- cord-125330-jyppul4o 14 21 and and CC cord-125330-jyppul4o 14 22 rumors rumor NNS cord-125330-jyppul4o 14 23 [ [ -LRB- cord-125330-jyppul4o 14 24 2 2 CD cord-125330-jyppul4o 14 25 ] ] -RRB- cord-125330-jyppul4o 14 26 . . . cord-125330-jyppul4o 15 1 This this DT cord-125330-jyppul4o 15 2 kind kind NN cord-125330-jyppul4o 15 3 of of IN cord-125330-jyppul4o 15 4 model model NN cord-125330-jyppul4o 15 5 has have VBZ cord-125330-jyppul4o 15 6 also also RB cord-125330-jyppul4o 15 7 been be VBN cord-125330-jyppul4o 15 8 used use VBN cord-125330-jyppul4o 15 9 for for IN cord-125330-jyppul4o 15 10 the the DT cord-125330-jyppul4o 15 11 spread spread NN cord-125330-jyppul4o 15 12 of of IN cord-125330-jyppul4o 15 13 social social JJ cord-125330-jyppul4o 15 14 habits habit NNS cord-125330-jyppul4o 15 15 , , , cord-125330-jyppul4o 15 16 such such JJ cord-125330-jyppul4o 15 17 as as IN cord-125330-jyppul4o 15 18 the the DT cord-125330-jyppul4o 15 19 smoking smoking NN cord-125330-jyppul4o 15 20 habit habit NN cord-125330-jyppul4o 15 21 [ [ -LRB- cord-125330-jyppul4o 15 22 3 3 CD cord-125330-jyppul4o 15 23 ] ] -RRB- cord-125330-jyppul4o 15 24 , , , cord-125330-jyppul4o 15 25 cocaine cocaine NN cord-125330-jyppul4o 15 26 [ [ -LRB- cord-125330-jyppul4o 15 27 4 4 CD cord-125330-jyppul4o 15 28 ] ] -RRB- cord-125330-jyppul4o 15 29 and and CC cord-125330-jyppul4o 15 30 alcohol alcohol NN cord-125330-jyppul4o 15 31 consumption consumption NN cord-125330-jyppul4o 15 32 [ [ -LRB- cord-125330-jyppul4o 15 33 5 5 CD cord-125330-jyppul4o 15 34 ] ] -RRB- cord-125330-jyppul4o 15 35 , , , cord-125330-jyppul4o 15 36 obesity obesity NN cord-125330-jyppul4o 15 37 [ [ -LRB- cord-125330-jyppul4o 15 38 6 6 CD cord-125330-jyppul4o 15 39 ] ] -RRB- cord-125330-jyppul4o 15 40 , , , cord-125330-jyppul4o 15 41 corruption corruption NN cord-125330-jyppul4o 15 42 [ [ -LRB- cord-125330-jyppul4o 15 43 7 7 CD cord-125330-jyppul4o 15 44 ] ] -RRB- cord-125330-jyppul4o 15 45 , , , cord-125330-jyppul4o 15 46 cooperation cooperation NN cord-125330-jyppul4o 15 47 [ [ -LRB- cord-125330-jyppul4o 15 48 8 8 CD cord-125330-jyppul4o 15 49 ] ] -RRB- cord-125330-jyppul4o 15 50 , , , cord-125330-jyppul4o 15 51 ideological ideological JJ cord-125330-jyppul4o 15 52 conflicts conflict NNS cord-125330-jyppul4o 15 53 [ [ -LRB- cord-125330-jyppul4o 15 54 9 9 CD cord-125330-jyppul4o 15 55 ] ] -RRB- cord-125330-jyppul4o 15 56 , , , cord-125330-jyppul4o 15 57 and and CC cord-125330-jyppul4o 15 58 also also RB cord-125330-jyppul4o 15 59 to to IN cord-125330-jyppul4o 15 60 other other JJ cord-125330-jyppul4o 15 61 problems problem NNS cord-125330-jyppul4o 15 62 like like IN cord-125330-jyppul4o 15 63 rise rise NN cord-125330-jyppul4o 15 64 / / SYM cord-125330-jyppul4o 15 65 fall fall NN cord-125330-jyppul4o 15 66 of of IN cord-125330-jyppul4o 15 67 ancient ancient JJ cord-125330-jyppul4o 15 68 empires empire NNS cord-125330-jyppul4o 15 69 [ [ -LRB- cord-125330-jyppul4o 15 70 10 10 CD cord-125330-jyppul4o 15 71 ] ] -RRB- cord-125330-jyppul4o 15 72 , , , cord-125330-jyppul4o 15 73 dynamics dynamic NNS cord-125330-jyppul4o 15 74 of of IN cord-125330-jyppul4o 15 75 tax tax NN cord-125330-jyppul4o 15 76 evasion evasion NN cord-125330-jyppul4o 15 77 [ [ -LRB- cord-125330-jyppul4o 15 78 11 11 CD cord-125330-jyppul4o 15 79 ] ] -RRB- cord-125330-jyppul4o 15 80 and and CC cord-125330-jyppul4o 15 81 radicalization radicalization NN cord-125330-jyppul4o 15 82 phenomena phenomena VBP cord-125330-jyppul4o 15 83 [ [ -LRB- cord-125330-jyppul4o 15 84 12 12 CD cord-125330-jyppul4o 15 85 ] ] -RRB- cord-125330-jyppul4o 15 86 . . . cord-125330-jyppul4o 16 1 The the DT cord-125330-jyppul4o 16 2 main main JJ cord-125330-jyppul4o 16 3 reason reason NN cord-125330-jyppul4o 16 4 such such JJ cord-125330-jyppul4o 16 5 social social JJ cord-125330-jyppul4o 16 6 behaviors behavior NNS cord-125330-jyppul4o 16 7 can can MD cord-125330-jyppul4o 16 8 be be VB cord-125330-jyppul4o 16 9 modelled model VBN cord-125330-jyppul4o 16 10 by by IN cord-125330-jyppul4o 16 11 contagion contagion NN cord-125330-jyppul4o 16 12 processes process NNS cord-125330-jyppul4o 16 13 is be VBZ cord-125330-jyppul4o 16 14 the the DT cord-125330-jyppul4o 16 15 response response NN cord-125330-jyppul4o 16 16 by by IN cord-125330-jyppul4o 16 17 elements element NNS cord-125330-jyppul4o 16 18 of of IN cord-125330-jyppul4o 16 19 the the DT cord-125330-jyppul4o 16 20 ensemble ensemble NN cord-125330-jyppul4o 16 21 to to IN cord-125330-jyppul4o 16 22 the the DT cord-125330-jyppul4o 16 23 social social JJ cord-125330-jyppul4o 16 24 context context NN cord-125330-jyppul4o 16 25 of of IN cord-125330-jyppul4o 16 26 the the DT cord-125330-jyppul4o 16 27 studied study VBN cord-125330-jyppul4o 16 28 subject subject NN cord-125330-jyppul4o 16 29 . . . cord-125330-jyppul4o 17 1 Both both DT cord-125330-jyppul4o 17 2 social social JJ cord-125330-jyppul4o 17 3 or or CC cord-125330-jyppul4o 17 4 peer peer NN cord-125330-jyppul4o 17 5 pressure pressure NN cord-125330-jyppul4o 17 6 and and CC cord-125330-jyppul4o 17 7 positive positive JJ cord-125330-jyppul4o 17 8 reinforcement reinforcement NN cord-125330-jyppul4o 17 9 from from IN cord-125330-jyppul4o 17 10 other other JJ cord-125330-jyppul4o 17 11 agents agent NNS cord-125330-jyppul4o 17 12 , , , cord-125330-jyppul4o 17 13 regardless regardless RB cord-125330-jyppul4o 17 14 if if IN cord-125330-jyppul4o 17 15 the the DT cord-125330-jyppul4o 17 16 behavior behavior NN cord-125330-jyppul4o 17 17 brings bring VBZ cord-125330-jyppul4o 17 18 positive positive JJ cord-125330-jyppul4o 17 19 or or CC cord-125330-jyppul4o 17 20 negative negative JJ cord-125330-jyppul4o 17 21 consequences consequence NNS cord-125330-jyppul4o 17 22 to to IN cord-125330-jyppul4o 17 23 the the DT cord-125330-jyppul4o 17 24 individual individual NN cord-125330-jyppul4o 17 25 , , , cord-125330-jyppul4o 17 26 can can MD cord-125330-jyppul4o 17 27 influence influence VB cord-125330-jyppul4o 17 28 each each DT cord-125330-jyppul4o 17 29 one one NN cord-125330-jyppul4o 17 30 's 's POS cord-125330-jyppul4o 17 31 way way NN cord-125330-jyppul4o 17 32 of of IN cord-125330-jyppul4o 17 33 life life NN cord-125330-jyppul4o 17 34 . . . cord-125330-jyppul4o 18 1 Therefore therefore RB cord-125330-jyppul4o 18 2 , , , cord-125330-jyppul4o 18 3 models model NNS cord-125330-jyppul4o 18 4 for for IN cord-125330-jyppul4o 18 5 the the DT cord-125330-jyppul4o 18 6 epidemics epidemic NNS cord-125330-jyppul4o 18 7 of of IN cord-125330-jyppul4o 18 8 infectious infectious JJ cord-125330-jyppul4o 18 9 diseases disease NNS cord-125330-jyppul4o 18 10 are be VBP cord-125330-jyppul4o 18 11 also also RB cord-125330-jyppul4o 18 12 able able JJ cord-125330-jyppul4o 18 13 to to TO cord-125330-jyppul4o 18 14 describe describe VB cord-125330-jyppul4o 18 15 the the DT cord-125330-jyppul4o 18 16 spread spread NN cord-125330-jyppul4o 18 17 of of IN cord-125330-jyppul4o 18 18 such such JJ cord-125330-jyppul4o 18 19 tendencies tendency NNS cord-125330-jyppul4o 18 20 , , , cord-125330-jyppul4o 18 21 like like IN cord-125330-jyppul4o 18 22 alcoholism alcoholism NN cord-125330-jyppul4o 18 23 [ [ -LRB- cord-125330-jyppul4o 18 24 13 13 CD cord-125330-jyppul4o 18 25 , , , cord-125330-jyppul4o 18 26 14 14 CD cord-125330-jyppul4o 18 27 ] ] -RRB- cord-125330-jyppul4o 18 28 . . . cord-125330-jyppul4o 19 1 The the DT cord-125330-jyppul4o 19 2 standard standard JJ cord-125330-jyppul4o 19 3 medical medical JJ cord-125330-jyppul4o 19 4 way way NN cord-125330-jyppul4o 19 5 of of IN cord-125330-jyppul4o 19 6 categorizing categorize VBG cord-125330-jyppul4o 19 7 alcohol alcohol NN cord-125330-jyppul4o 19 8 consumption consumption NN cord-125330-jyppul4o 19 9 [ [ -LRB- cord-125330-jyppul4o 19 10 15 15 CD cord-125330-jyppul4o 19 11 ] ] -RRB- cord-125330-jyppul4o 19 12 is be VBZ cord-125330-jyppul4o 19 13 in in IN cord-125330-jyppul4o 19 14 three three CD cord-125330-jyppul4o 19 15 groups group NNS cord-125330-jyppul4o 19 16 -nonconsumers -nonconsumer NNS cord-125330-jyppul4o 19 17 , , , cord-125330-jyppul4o 19 18 moderate moderate JJ cord-125330-jyppul4o 19 19 ( ( -LRB- cord-125330-jyppul4o 19 20 or or CC cord-125330-jyppul4o 19 21 social social JJ cord-125330-jyppul4o 19 22 ) ) -RRB- cord-125330-jyppul4o 19 23 consumers consumer NNS cord-125330-jyppul4o 19 24 and and CC cord-125330-jyppul4o 19 25 risk risk NN cord-125330-jyppul4o 19 26 ( ( -LRB- cord-125330-jyppul4o 19 27 or or CC cord-125330-jyppul4o 19 28 excessive excessive JJ cord-125330-jyppul4o 19 29 ) ) -RRB- cord-125330-jyppul4o 19 30 consumers consumer NNS cord-125330-jyppul4o 19 31 ; ; : cord-125330-jyppul4o 19 32 thus thus RB cord-125330-jyppul4o 19 33 , , , cord-125330-jyppul4o 19 34 modeling model VBG cord-125330-jyppul4o 19 35 of of IN cord-125330-jyppul4o 19 36 the the DT cord-125330-jyppul4o 19 37 interactions interaction NNS cord-125330-jyppul4o 19 38 and and CC cord-125330-jyppul4o 19 39 consequent consequent JJ cord-125330-jyppul4o 19 40 changes change NNS cord-125330-jyppul4o 19 41 of of IN cord-125330-jyppul4o 19 42 an an DT cord-125330-jyppul4o 19 43 individual individual NN cord-125330-jyppul4o 19 44 from from IN cord-125330-jyppul4o 19 45 one one CD cord-125330-jyppul4o 19 46 group group NN cord-125330-jyppul4o 19 47 to to IN cord-125330-jyppul4o 19 48 another another DT cord-125330-jyppul4o 19 49 is be VBZ cord-125330-jyppul4o 19 50 governed govern VBN cord-125330-jyppul4o 19 51 by by IN cord-125330-jyppul4o 19 52 interaction interaction NN cord-125330-jyppul4o 19 53 parameters parameter NNS cord-125330-jyppul4o 19 54 . . . cord-125330-jyppul4o 20 1 One one CD cord-125330-jyppul4o 20 2 interesting interesting JJ cord-125330-jyppul4o 20 3 aspect aspect NN cord-125330-jyppul4o 20 4 that that WDT cord-125330-jyppul4o 20 5 should should MD cord-125330-jyppul4o 20 6 be be VB cord-125330-jyppul4o 20 7 taken take VBN cord-125330-jyppul4o 20 8 into into IN cord-125330-jyppul4o 20 9 consideration consideration NN cord-125330-jyppul4o 20 10 when when WRB cord-125330-jyppul4o 20 11 modeling model VBG cord-125330-jyppul4o 20 12 alcohol alcohol NN cord-125330-jyppul4o 20 13 consumption consumption NN cord-125330-jyppul4o 20 14 is be VBZ cord-125330-jyppul4o 20 15 the the DT cord-125330-jyppul4o 20 16 tendency tendency NN cord-125330-jyppul4o 20 17 on on IN cord-125330-jyppul4o 20 18 some some DT cord-125330-jyppul4o 20 19 individuals individual NNS cord-125330-jyppul4o 20 20 to to TO cord-125330-jyppul4o 20 21 gradually gradually RB cord-125330-jyppul4o 20 22 increase increase VB cord-125330-jyppul4o 20 23 their -PRON- PRP$ cord-125330-jyppul4o 20 24 consumption consumption NN cord-125330-jyppul4o 20 25 rate rate NN cord-125330-jyppul4o 20 26 , , , cord-125330-jyppul4o 20 27 not not RB cord-125330-jyppul4o 20 28 due due IN cord-125330-jyppul4o 20 29 to to IN cord-125330-jyppul4o 20 30 social social JJ cord-125330-jyppul4o 20 31 susceptibility susceptibility NN cord-125330-jyppul4o 20 32 , , , cord-125330-jyppul4o 20 33 but but CC cord-125330-jyppul4o 20 34 when when WRB cord-125330-jyppul4o 20 35 under under IN cord-125330-jyppul4o 20 36 stressful stressful JJ cord-125330-jyppul4o 20 37 or or CC cord-125330-jyppul4o 20 38 depressing depressing JJ cord-125330-jyppul4o 20 39 circumstances circumstance NNS cord-125330-jyppul4o 20 40 , , , cord-125330-jyppul4o 20 41 since since IN cord-125330-jyppul4o 20 42 alcohol alcohol NN cord-125330-jyppul4o 20 43 plays play VBZ cord-125330-jyppul4o 20 44 a a DT cord-125330-jyppul4o 20 45 major major JJ cord-125330-jyppul4o 20 46 role role NN cord-125330-jyppul4o 20 47 both both DT cord-125330-jyppul4o 20 48 as as IN cord-125330-jyppul4o 20 49 cause cause NN cord-125330-jyppul4o 20 50 and and CC cord-125330-jyppul4o 20 51 consequence consequence NN cord-125330-jyppul4o 20 52 of of IN cord-125330-jyppul4o 20 53 depression depression NN cord-125330-jyppul4o 20 54 , , , cord-125330-jyppul4o 20 55 for for IN cord-125330-jyppul4o 20 56 instance instance NN cord-125330-jyppul4o 20 57 [ [ -LRB- cord-125330-jyppul4o 20 58 16 16 CD cord-125330-jyppul4o 20 59 ] ] -RRB- cord-125330-jyppul4o 20 60 . . . cord-125330-jyppul4o 21 1 This this DT cord-125330-jyppul4o 21 2 means mean VBZ cord-125330-jyppul4o 21 3 that that IN cord-125330-jyppul4o 21 4 one one PRP cord-125330-jyppul4o 21 5 can can MD cord-125330-jyppul4o 21 6 attach attach VB cord-125330-jyppul4o 21 7 a a DT cord-125330-jyppul4o 21 8 probability probability NN cord-125330-jyppul4o 21 9 of of IN cord-125330-jyppul4o 21 10 a a DT cord-125330-jyppul4o 21 11 moderate moderate JJ cord-125330-jyppul4o 21 12 drinker drinker NN cord-125330-jyppul4o 21 13 to to TO cord-125330-jyppul4o 21 14 become become VB cord-125330-jyppul4o 21 15 an an DT cord-125330-jyppul4o 21 16 excessive excessive JJ cord-125330-jyppul4o 21 17 drinker drinker NN cord-125330-jyppul4o 21 18 that that WDT cord-125330-jyppul4o 21 19 is be VBZ cord-125330-jyppul4o 21 20 dependent dependent JJ cord-125330-jyppul4o 21 21 only only RB cord-125330-jyppul4o 21 22 on on IN cord-125330-jyppul4o 21 23 the the DT cord-125330-jyppul4o 21 24 actual actual JJ cord-125330-jyppul4o 21 25 moderate moderate JJ cord-125330-jyppul4o 21 26 drinkers drinker NNS cord-125330-jyppul4o 21 27 population population NN cord-125330-jyppul4o 21 28 size size NN cord-125330-jyppul4o 21 29 , , , cord-125330-jyppul4o 21 30 instead instead RB cord-125330-jyppul4o 21 31 of of IN cord-125330-jyppul4o 21 32 the the DT cord-125330-jyppul4o 21 33 two two CD cord-125330-jyppul4o 21 34 population population NN cord-125330-jyppul4o 21 35 groups group NNS cord-125330-jyppul4o 21 36 involved involve VBN cord-125330-jyppul4o 21 37 in in IN cord-125330-jyppul4o 21 38 the the DT cord-125330-jyppul4o 21 39 change change NN cord-125330-jyppul4o 21 40 . . . cord-125330-jyppul4o 22 1 If if IN cord-125330-jyppul4o 22 2 one one PRP cord-125330-jyppul4o 22 3 considers consider VBZ cord-125330-jyppul4o 22 4 the the DT cord-125330-jyppul4o 22 5 current current JJ cord-125330-jyppul4o 22 6 world world NN cord-125330-jyppul4o 22 7 situation situation NN cord-125330-jyppul4o 22 8 with with IN cord-125330-jyppul4o 22 9 the the DT cord-125330-jyppul4o 22 10 recent recent JJ cord-125330-jyppul4o 22 11 coronavirus coronavirus NN cord-125330-jyppul4o 22 12 disease disease NN cord-125330-jyppul4o 22 13 2019 2019 CD cord-125330-jyppul4o 22 14 outbreak outbreak NN cord-125330-jyppul4o 22 15 ( ( -LRB- cord-125330-jyppul4o 22 16 COVID-19 COVID-19 NNP cord-125330-jyppul4o 22 17 ) ) -RRB- cord-125330-jyppul4o 22 18 , , , cord-125330-jyppul4o 22 19 this this DT cord-125330-jyppul4o 22 20 self self NN cord-125330-jyppul4o 22 21 - - HYPH cord-125330-jyppul4o 22 22 induced induce VBN cord-125330-jyppul4o 22 23 increase increase NN cord-125330-jyppul4o 22 24 in in IN cord-125330-jyppul4o 22 25 alcohol alcohol NN cord-125330-jyppul4o 22 26 consumption consumption NN cord-125330-jyppul4o 22 27 is be VBZ cord-125330-jyppul4o 22 28 not not RB cord-125330-jyppul4o 22 29 only only RB cord-125330-jyppul4o 22 30 realistic realistic JJ cord-125330-jyppul4o 22 31 , , , cord-125330-jyppul4o 22 32 but but CC cord-125330-jyppul4o 22 33 also also RB cord-125330-jyppul4o 22 34 becomes become VBZ cord-125330-jyppul4o 22 35 more more RBR cord-125330-jyppul4o 22 36 prominent prominent JJ cord-125330-jyppul4o 22 37 -this -this NN cord-125330-jyppul4o 22 38 has have VBZ cord-125330-jyppul4o 22 39 been be VBN cord-125330-jyppul4o 22 40 observed observe VBN cord-125330-jyppul4o 22 41 in in IN cord-125330-jyppul4o 22 42 a a DT cord-125330-jyppul4o 22 43 myriad myriad NN cord-125330-jyppul4o 22 44 of of IN cord-125330-jyppul4o 22 45 studies study NNS cord-125330-jyppul4o 22 46 this this DT cord-125330-jyppul4o 22 47 year year NN cord-125330-jyppul4o 22 48 detailing detail VBG cord-125330-jyppul4o 22 49 the the DT cord-125330-jyppul4o 22 50 consequences consequence NNS cord-125330-jyppul4o 22 51 and and CC cord-125330-jyppul4o 22 52 dangers danger NNS cord-125330-jyppul4o 22 53 of of IN cord-125330-jyppul4o 22 54 both both DT cord-125330-jyppul4o 22 55 alcohol alcohol NN cord-125330-jyppul4o 22 56 withdrawal withdrawal NN cord-125330-jyppul4o 22 57 ( ( -LRB- cord-125330-jyppul4o 22 58 in in IN cord-125330-jyppul4o 22 59 places place NNS cord-125330-jyppul4o 22 60 where where WRB cord-125330-jyppul4o 22 61 it -PRON- PRP cord-125330-jyppul4o 22 62 has have VBZ cord-125330-jyppul4o 22 63 become become VBN cord-125330-jyppul4o 22 64 harder hard JJR cord-125330-jyppul4o 22 65 to to TO cord-125330-jyppul4o 22 66 legally legally RB cord-125330-jyppul4o 22 67 acquire acquire VB cord-125330-jyppul4o 22 68 alcohol alcohol NN cord-125330-jyppul4o 22 69 during during IN cord-125330-jyppul4o 22 70 the the DT cord-125330-jyppul4o 22 71 pandemic pandemic NN cord-125330-jyppul4o 22 72 ) ) -RRB- cord-125330-jyppul4o 22 73 and and CC cord-125330-jyppul4o 22 74 alcohol alcohol NN cord-125330-jyppul4o 22 75 consumption consumption NN cord-125330-jyppul4o 22 76 increase increase NN cord-125330-jyppul4o 22 77 [ [ -LRB- cord-125330-jyppul4o 22 78 17 17 CD cord-125330-jyppul4o 22 79 , , , cord-125330-jyppul4o 22 80 18 18 CD cord-125330-jyppul4o 22 81 , , , cord-125330-jyppul4o 22 82 19 19 CD cord-125330-jyppul4o 22 83 , , , cord-125330-jyppul4o 22 84 20 20 CD cord-125330-jyppul4o 22 85 ] ] -RRB- cord-125330-jyppul4o 22 86 . . . cord-125330-jyppul4o 23 1 This this DT cord-125330-jyppul4o 23 2 work work NN cord-125330-jyppul4o 23 3 is be VBZ cord-125330-jyppul4o 23 4 organized organize VBN cord-125330-jyppul4o 23 5 as as IN cord-125330-jyppul4o 23 6 follows follow NNS cord-125330-jyppul4o 23 7 . . . cord-125330-jyppul4o 24 1 In in IN cord-125330-jyppul4o 24 2 Section section NN cord-125330-jyppul4o 24 3 2 2 CD cord-125330-jyppul4o 24 4 , , , cord-125330-jyppul4o 24 5 we -PRON- PRP cord-125330-jyppul4o 24 6 present present VBP cord-125330-jyppul4o 24 7 the the DT cord-125330-jyppul4o 24 8 model model NN cord-125330-jyppul4o 24 9 and and CC cord-125330-jyppul4o 24 10 define define VB cord-125330-jyppul4o 24 11 the the DT cord-125330-jyppul4o 24 12 microscopic microscopic JJ cord-125330-jyppul4o 24 13 rules rule NNS cord-125330-jyppul4o 24 14 that that WDT cord-125330-jyppul4o 24 15 lead lead VBP cord-125330-jyppul4o 24 16 to to IN cord-125330-jyppul4o 24 17 its -PRON- PRP$ cord-125330-jyppul4o 24 18 dynamics dynamic NNS cord-125330-jyppul4o 24 19 . . . cord-125330-jyppul4o 25 1 The the DT cord-125330-jyppul4o 25 2 analytical analytical JJ cord-125330-jyppul4o 25 3 and and CC cord-125330-jyppul4o 25 4 numerical numerical JJ cord-125330-jyppul4o 25 5 results result NNS cord-125330-jyppul4o 25 6 are be VBP cord-125330-jyppul4o 25 7 presented present VBN cord-125330-jyppul4o 25 8 in in IN cord-125330-jyppul4o 25 9 Section section NN cord-125330-jyppul4o 25 10 3 3 CD cord-125330-jyppul4o 25 11 , , , cord-125330-jyppul4o 25 12 including include VBG cord-125330-jyppul4o 25 13 comparisons comparison NNS cord-125330-jyppul4o 25 14 with with IN cord-125330-jyppul4o 25 15 Brazil Brazil NNP cord-125330-jyppul4o 25 16 's 's POS cord-125330-jyppul4o 25 17 alcohol alcohol NN cord-125330-jyppul4o 25 18 consumption consumption NN cord-125330-jyppul4o 25 19 data datum NNS cord-125330-jyppul4o 25 20 for for IN cord-125330-jyppul4o 25 21 a a DT cord-125330-jyppul4o 25 22 range range NN cord-125330-jyppul4o 25 23 of of IN cord-125330-jyppul4o 25 24 eleven eleven CD cord-125330-jyppul4o 25 25 years year NNS cord-125330-jyppul4o 25 26 , , , cord-125330-jyppul4o 25 27 used use VBN cord-125330-jyppul4o 25 28 as as IN cord-125330-jyppul4o 25 29 a a DT cord-125330-jyppul4o 25 30 case case NN cord-125330-jyppul4o 25 31 study study NN cord-125330-jyppul4o 25 32 in in IN cord-125330-jyppul4o 25 33 order order NN cord-125330-jyppul4o 25 34 to to TO cord-125330-jyppul4o 25 35 evaluate evaluate VB cord-125330-jyppul4o 25 36 the the DT cord-125330-jyppul4o 25 37 present present JJ cord-125330-jyppul4o 25 38 model model NN cord-125330-jyppul4o 25 39 . . . cord-125330-jyppul4o 26 1 Finally finally RB cord-125330-jyppul4o 26 2 , , , cord-125330-jyppul4o 26 3 our -PRON- PRP$ cord-125330-jyppul4o 26 4 conclusions conclusion NNS cord-125330-jyppul4o 26 5 are be VBP cord-125330-jyppul4o 26 6 presented present VBN cord-125330-jyppul4o 26 7 in in IN cord-125330-jyppul4o 26 8 section section NN cord-125330-jyppul4o 26 9 4 4 CD cord-125330-jyppul4o 26 10 . . . cord-125330-jyppul4o 27 1 Our -PRON- PRP$ cord-125330-jyppul4o 27 2 model model NN cord-125330-jyppul4o 27 3 is be VBZ cord-125330-jyppul4o 27 4 based base VBN cord-125330-jyppul4o 27 5 on on IN cord-125330-jyppul4o 27 6 the the DT cord-125330-jyppul4o 27 7 proposal proposal NN cord-125330-jyppul4o 27 8 of of IN cord-125330-jyppul4o 27 9 references reference NNS cord-125330-jyppul4o 27 10 [ [ -LRB- cord-125330-jyppul4o 27 11 5 5 CD cord-125330-jyppul4o 27 12 , , , cord-125330-jyppul4o 27 13 13 13 CD cord-125330-jyppul4o 27 14 , , , cord-125330-jyppul4o 27 15 14 14 CD cord-125330-jyppul4o 27 16 , , , cord-125330-jyppul4o 27 17 21 21 CD cord-125330-jyppul4o 27 18 , , , cord-125330-jyppul4o 27 19 22 22 CD cord-125330-jyppul4o 27 20 , , , cord-125330-jyppul4o 27 21 23 23 CD cord-125330-jyppul4o 27 22 , , , cord-125330-jyppul4o 27 23 24 24 CD cord-125330-jyppul4o 27 24 , , , cord-125330-jyppul4o 27 25 25 25 CD cord-125330-jyppul4o 27 26 ] ] -RRB- cord-125330-jyppul4o 27 27 that that WDT cord-125330-jyppul4o 27 28 treat treat VBP cord-125330-jyppul4o 27 29 alcohol alcohol NN cord-125330-jyppul4o 27 30 consumption consumption NN cord-125330-jyppul4o 27 31 as as IN cord-125330-jyppul4o 27 32 a a DT cord-125330-jyppul4o 27 33 disease disease NN cord-125330-jyppul4o 27 34 that that WDT cord-125330-jyppul4o 27 35 spreads spread VBZ cord-125330-jyppul4o 27 36 by by IN cord-125330-jyppul4o 27 37 social social JJ cord-125330-jyppul4o 27 38 interactions interaction NNS cord-125330-jyppul4o 27 39 . . . cord-125330-jyppul4o 28 1 In in IN cord-125330-jyppul4o 28 2 such such JJ cord-125330-jyppul4o 28 3 case case NN cord-125330-jyppul4o 28 4 , , , cord-125330-jyppul4o 28 5 we -PRON- PRP cord-125330-jyppul4o 28 6 consider consider VBP cord-125330-jyppul4o 28 7 an an DT cord-125330-jyppul4o 28 8 epidemic epidemic NN cord-125330-jyppul4o 28 9 - - HYPH cord-125330-jyppul4o 28 10 like like JJ cord-125330-jyppul4o 28 11 model model NN cord-125330-jyppul4o 28 12 where where WRB cord-125330-jyppul4o 28 13 the the DT cord-125330-jyppul4o 28 14 transitions transition NNS cord-125330-jyppul4o 28 15 among among IN cord-125330-jyppul4o 28 16 the the DT cord-125330-jyppul4o 28 17 compartments compartment NNS cord-125330-jyppul4o 28 18 are be VBP cord-125330-jyppul4o 28 19 governed govern VBN cord-125330-jyppul4o 28 20 by by IN cord-125330-jyppul4o 28 21 probabilities probability NNS cord-125330-jyppul4o 28 22 . . . cord-125330-jyppul4o 29 1 In in IN cord-125330-jyppul4o 29 2 this this DT cord-125330-jyppul4o 29 3 work work NN cord-125330-jyppul4o 29 4 we -PRON- PRP cord-125330-jyppul4o 29 5 consider consider VBP cord-125330-jyppul4o 29 6 population population NN cord-125330-jyppul4o 29 7 homogeneous homogeneous JJ cord-125330-jyppul4o 29 8 mixing mixing NN cord-125330-jyppul4o 29 9 , , , cord-125330-jyppul4o 29 10 i.e. i.e. FW cord-125330-jyppul4o 29 11 , , , cord-125330-jyppul4o 29 12 a a DT cord-125330-jyppul4o 29 13 fully fully RB cord-125330-jyppul4o 29 14 - - HYPH cord-125330-jyppul4o 29 15 connected connect VBN cord-125330-jyppul4o 29 16 population population NN cord-125330-jyppul4o 29 17 of of IN cord-125330-jyppul4o 29 18 N n CD cord-125330-jyppul4o 29 19 individuals individual NNS cord-125330-jyppul4o 29 20 . . . cord-125330-jyppul4o 30 1 This this DT cord-125330-jyppul4o 30 2 population population NN cord-125330-jyppul4o 30 3 is be VBZ cord-125330-jyppul4o 30 4 divided divide VBN cord-125330-jyppul4o 30 5 in in IN cord-125330-jyppul4o 30 6 3 3 CD cord-125330-jyppul4o 30 7 compartments compartment NNS cord-125330-jyppul4o 30 8 , , , cord-125330-jyppul4o 30 9 namely namely RB cord-125330-jyppul4o 30 10 : : : cord-125330-jyppul4o 31 1 • • NNP cord-125330-jyppul4o 31 2 S S NNP cord-125330-jyppul4o 31 3 : : : cord-125330-jyppul4o 32 1 nonconsumer nonconsumer JJ cord-125330-jyppul4o 32 2 individuals individual NNS cord-125330-jyppul4o 32 3 , , , cord-125330-jyppul4o 32 4 individuals individual NNS cord-125330-jyppul4o 32 5 that that WDT cord-125330-jyppul4o 32 6 have have VBP cord-125330-jyppul4o 32 7 never never RB cord-125330-jyppul4o 32 8 consumed consume VBN cord-125330-jyppul4o 32 9 alcohol alcohol NN cord-125330-jyppul4o 32 10 or or CC cord-125330-jyppul4o 32 11 have have VBP cord-125330-jyppul4o 32 12 consumed consume VBN cord-125330-jyppul4o 32 13 in in IN cord-125330-jyppul4o 32 14 the the DT cord-125330-jyppul4o 32 15 past past NN cord-125330-jyppul4o 32 16 and and CC cord-125330-jyppul4o 32 17 quit quit VBD cord-125330-jyppul4o 32 18 . . . cord-125330-jyppul4o 33 1 In in IN cord-125330-jyppul4o 33 2 this this DT cord-125330-jyppul4o 33 3 case case NN cord-125330-jyppul4o 33 4 , , , cord-125330-jyppul4o 33 5 we -PRON- PRP cord-125330-jyppul4o 33 6 will will MD cord-125330-jyppul4o 33 7 call call VB cord-125330-jyppul4o 33 8 them -PRON- PRP cord-125330-jyppul4o 33 9 Susceptible susceptible JJ cord-125330-jyppul4o 33 10 individuals individual NNS cord-125330-jyppul4o 33 11 , , , cord-125330-jyppul4o 33 12 i.e. i.e. FW cord-125330-jyppul4o 33 13 , , , cord-125330-jyppul4o 33 14 susceptible susceptible JJ cord-125330-jyppul4o 33 15 to to TO cord-125330-jyppul4o 33 16 become become VB cord-125330-jyppul4o 33 17 drinkers drinker NNS cord-125330-jyppul4o 33 18 , , , cord-125330-jyppul4o 33 19 either either CC cord-125330-jyppul4o 33 20 again again RB cord-125330-jyppul4o 33 21 or or CC cord-125330-jyppul4o 33 22 for for IN cord-125330-jyppul4o 33 23 the the DT cord-125330-jyppul4o 33 24 first first JJ cord-125330-jyppul4o 33 25 time time NN cord-125330-jyppul4o 33 26 ; ; . cord-125330-jyppul4o 34 1 • • NNP cord-125330-jyppul4o 34 2 M M NNP cord-125330-jyppul4o 34 3 : : : cord-125330-jyppul4o 35 1 nonrisk nonrisk NNP cord-125330-jyppul4o 35 2 consumers consumer NNS cord-125330-jyppul4o 35 3 , , , cord-125330-jyppul4o 35 4 individuals individual NNS cord-125330-jyppul4o 35 5 with with IN cord-125330-jyppul4o 35 6 regular regular JJ cord-125330-jyppul4o 35 7 low low JJ cord-125330-jyppul4o 35 8 consumption consumption NN cord-125330-jyppul4o 35 9 . . . cord-125330-jyppul4o 36 1 We -PRON- PRP cord-125330-jyppul4o 36 2 will will MD cord-125330-jyppul4o 36 3 call call VB cord-125330-jyppul4o 36 4 them -PRON- PRP cord-125330-jyppul4o 36 5 Moderated moderate VBN cord-125330-jyppul4o 36 6 drinkers drinker NNS cord-125330-jyppul4o 36 7 ; ; : cord-125330-jyppul4o 37 1 • • NNP cord-125330-jyppul4o 37 2 R r NN cord-125330-jyppul4o 37 3 : : : cord-125330-jyppul4o 37 4 risk risk NN cord-125330-jyppul4o 37 5 consumers consumer NNS cord-125330-jyppul4o 37 6 , , , cord-125330-jyppul4o 37 7 individuals individual NNS cord-125330-jyppul4o 37 8 with with IN cord-125330-jyppul4o 37 9 regular regular JJ cord-125330-jyppul4o 37 10 high high JJ cord-125330-jyppul4o 37 11 consumption consumption NN cord-125330-jyppul4o 37 12 . . . cord-125330-jyppul4o 38 1 We -PRON- PRP cord-125330-jyppul4o 38 2 will will MD cord-125330-jyppul4o 38 3 call call VB cord-125330-jyppul4o 38 4 them -PRON- PRP cord-125330-jyppul4o 38 5 Risk risk NN cord-125330-jyppul4o 38 6 drinkers drinker NNS cord-125330-jyppul4o 38 7 ; ; : cord-125330-jyppul4o 38 8 To to TO cord-125330-jyppul4o 38 9 be be VB cord-125330-jyppul4o 38 10 precise precise JJ cord-125330-jyppul4o 38 11 , , , cord-125330-jyppul4o 38 12 a a DT cord-125330-jyppul4o 38 13 moderated moderate VBN cord-125330-jyppul4o 38 14 drinker drinker NN cord-125330-jyppul4o 38 15 is be VBZ cord-125330-jyppul4o 38 16 a a DT cord-125330-jyppul4o 38 17 man man NN cord-125330-jyppul4o 38 18 who who WP cord-125330-jyppul4o 38 19 consumes consume VBZ cord-125330-jyppul4o 38 20 less less JJR cord-125330-jyppul4o 38 21 than than IN cord-125330-jyppul4o 38 22 50 50 CD cord-125330-jyppul4o 38 23 cc cc NNS cord-125330-jyppul4o 38 24 of of IN cord-125330-jyppul4o 38 25 alcohol alcohol NN cord-125330-jyppul4o 38 26 every every DT cord-125330-jyppul4o 38 27 day day NN cord-125330-jyppul4o 38 28 or or CC cord-125330-jyppul4o 38 29 a a DT cord-125330-jyppul4o 38 30 woman woman NN cord-125330-jyppul4o 38 31 who who WP cord-125330-jyppul4o 38 32 consumes consume VBZ cord-125330-jyppul4o 38 33 less less JJR cord-125330-jyppul4o 38 34 than than IN cord-125330-jyppul4o 38 35 30 30 CD cord-125330-jyppul4o 38 36 cc cc CD cord-125330-jyppul4o 38 37 of of IN cord-125330-jyppul4o 38 38 alcohol alcohol NN cord-125330-jyppul4o 38 39 every every DT cord-125330-jyppul4o 38 40 day day NN cord-125330-jyppul4o 38 41 . . . cord-125330-jyppul4o 39 1 On on IN cord-125330-jyppul4o 39 2 the the DT cord-125330-jyppul4o 39 3 other other JJ cord-125330-jyppul4o 39 4 hand hand NN cord-125330-jyppul4o 39 5 , , , cord-125330-jyppul4o 39 6 a a DT cord-125330-jyppul4o 39 7 risk risk NN cord-125330-jyppul4o 39 8 drinker drinker NN cord-125330-jyppul4o 39 9 is be VBZ cord-125330-jyppul4o 39 10 a a DT cord-125330-jyppul4o 39 11 man man NN cord-125330-jyppul4o 39 12 who who WP cord-125330-jyppul4o 39 13 consumes consume VBZ cord-125330-jyppul4o 39 14 more more JJR cord-125330-jyppul4o 39 15 than than IN cord-125330-jyppul4o 39 16 50 50 CD cord-125330-jyppul4o 39 17 cc cc NNS cord-125330-jyppul4o 39 18 of of IN cord-125330-jyppul4o 39 19 alcohol alcohol NN cord-125330-jyppul4o 39 20 every every DT cord-125330-jyppul4o 39 21 day day NN cord-125330-jyppul4o 39 22 or or CC cord-125330-jyppul4o 39 23 a a DT cord-125330-jyppul4o 39 24 woman woman NN cord-125330-jyppul4o 39 25 who who WP cord-125330-jyppul4o 39 26 consumes consume VBZ cord-125330-jyppul4o 39 27 more more JJR cord-125330-jyppul4o 39 28 than than IN cord-125330-jyppul4o 39 29 30 30 CD cord-125330-jyppul4o 39 30 cc cc CD cord-125330-jyppul4o 39 31 of of IN cord-125330-jyppul4o 39 32 alcohol alcohol NN cord-125330-jyppul4o 39 33 every every DT cord-125330-jyppul4o 39 34 day day NN cord-125330-jyppul4o 39 35 [ [ -LRB- cord-125330-jyppul4o 39 36 5 5 CD cord-125330-jyppul4o 39 37 ] ] -RRB- cord-125330-jyppul4o 39 38 1 1 CD cord-125330-jyppul4o 39 39 . . . cord-125330-jyppul4o 40 1 Since since IN cord-125330-jyppul4o 40 2 we -PRON- PRP cord-125330-jyppul4o 40 3 are be VBP cord-125330-jyppul4o 40 4 considering consider VBG cord-125330-jyppul4o 40 5 a a DT cord-125330-jyppul4o 40 6 contagion contagion NN cord-125330-jyppul4o 40 7 model model NN cord-125330-jyppul4o 40 8 , , , cord-125330-jyppul4o 40 9 the the DT cord-125330-jyppul4o 40 10 probabilities probability NNS cord-125330-jyppul4o 40 11 related relate VBN cord-125330-jyppul4o 40 12 to to IN cord-125330-jyppul4o 40 13 changes change NNS cord-125330-jyppul4o 40 14 in in IN cord-125330-jyppul4o 40 15 agents agent NNS cord-125330-jyppul4o 40 16 ' ' POS cord-125330-jyppul4o 40 17 compartments compartment NNS cord-125330-jyppul4o 40 18 represent represent VBP cord-125330-jyppul4o 40 19 the the DT cord-125330-jyppul4o 40 20 possible possible JJ cord-125330-jyppul4o 40 21 contagions contagion NNS cord-125330-jyppul4o 40 22 . . . cord-125330-jyppul4o 41 1 The the DT cord-125330-jyppul4o 41 2 transitions transition NNS cord-125330-jyppul4o 41 3 among among IN cord-125330-jyppul4o 41 4 compartments compartment NNS cord-125330-jyppul4o 41 5 are be VBP cord-125330-jyppul4o 41 6 as as IN cord-125330-jyppul4o 41 7 following follow VBG cord-125330-jyppul4o 41 8 : : : cord-125330-jyppul4o 42 1 In in IN cord-125330-jyppul4o 42 2 the the DT cord-125330-jyppul4o 42 3 above above JJ cord-125330-jyppul4o 42 4 rules rule NNS cord-125330-jyppul4o 42 5 , , , cord-125330-jyppul4o 42 6 β β NN cord-125330-jyppul4o 42 7 represents represent VBZ cord-125330-jyppul4o 42 8 an an DT cord-125330-jyppul4o 42 9 " " `` cord-125330-jyppul4o 42 10 infection infection NN cord-125330-jyppul4o 42 11 " " '' cord-125330-jyppul4o 42 12 probability probability NN cord-125330-jyppul4o 42 13 , , , cord-125330-jyppul4o 42 14 i.e. i.e. FW cord-125330-jyppul4o 42 15 , , , cord-125330-jyppul4o 42 16 the the DT cord-125330-jyppul4o 42 17 probability probability NN cord-125330-jyppul4o 42 18 that that IN cord-125330-jyppul4o 42 19 a a DT cord-125330-jyppul4o 42 20 consumer consumer NN cord-125330-jyppul4o 42 21 ( ( -LRB- cord-125330-jyppul4o 42 22 M M NNP cord-125330-jyppul4o 42 23 or or CC cord-125330-jyppul4o 42 24 R R NNP cord-125330-jyppul4o 42 25 ) ) -RRB- cord-125330-jyppul4o 42 26 individual individual NN cord-125330-jyppul4o 42 27 turns turn VBZ cord-125330-jyppul4o 42 28 a a DT cord-125330-jyppul4o 42 29 nonconsumer nonconsumer JJ cord-125330-jyppul4o 42 30 one one NN cord-125330-jyppul4o 42 31 into into IN cord-125330-jyppul4o 42 32 drinker drinker NN cord-125330-jyppul4o 42 33 . . . cord-125330-jyppul4o 43 1 The the DT cord-125330-jyppul4o 43 2 Risk Risk NNP cord-125330-jyppul4o 43 3 drinkers drinker NNS cord-125330-jyppul4o 43 4 R r PRP cord-125330-jyppul4o 43 5 can can MD cord-125330-jyppul4o 43 6 also also RB cord-125330-jyppul4o 43 7 " " `` cord-125330-jyppul4o 43 8 infect infect VB cord-125330-jyppul4o 43 9 " " '' cord-125330-jyppul4o 43 10 the the DT cord-125330-jyppul4o 43 11 Moderated moderated JJ cord-125330-jyppul4o 43 12 M M NNP cord-125330-jyppul4o 43 13 agents agent NNS cord-125330-jyppul4o 43 14 and and CC cord-125330-jyppul4o 43 15 turn turn VB cord-125330-jyppul4o 43 16 them -PRON- PRP cord-125330-jyppul4o 43 17 into into IN cord-125330-jyppul4o 43 18 Risk risk NN cord-125330-jyppul4o 43 19 drinkers drinker NNS cord-125330-jyppul4o 43 20 R r NN cord-125330-jyppul4o 43 21 , , , cord-125330-jyppul4o 43 22 which which WDT cord-125330-jyppul4o 43 23 occurs occur VBZ cord-125330-jyppul4o 43 24 with with IN cord-125330-jyppul4o 43 25 probability probability NN cord-125330-jyppul4o 43 26 δ δ NN cord-125330-jyppul4o 43 27 . . . cord-125330-jyppul4o 44 1 These these DT cord-125330-jyppul4o 44 2 two two CD cord-125330-jyppul4o 44 3 infections infection NNS cord-125330-jyppul4o 44 4 occur occur VBP cord-125330-jyppul4o 44 5 by by IN cord-125330-jyppul4o 44 6 contagion contagion NN cord-125330-jyppul4o 44 7 , , , cord-125330-jyppul4o 44 8 in in IN cord-125330-jyppul4o 44 9 our -PRON- PRP$ cord-125330-jyppul4o 44 10 model model NN cord-125330-jyppul4o 44 11 , , , cord-125330-jyppul4o 44 12 where where WRB cord-125330-jyppul4o 44 13 individuals individual NNS cord-125330-jyppul4o 44 14 belonging belong VBG cord-125330-jyppul4o 44 15 to to IN cord-125330-jyppul4o 44 16 a a DT cord-125330-jyppul4o 44 17 group group NN cord-125330-jyppul4o 44 18 with with IN cord-125330-jyppul4o 44 19 a a DT cord-125330-jyppul4o 44 20 higher high JJR cord-125330-jyppul4o 44 21 degree degree NN cord-125330-jyppul4o 44 22 of of IN cord-125330-jyppul4o 44 23 consumption consumption NN cord-125330-jyppul4o 44 24 can can MD cord-125330-jyppul4o 44 25 influence influence VB cord-125330-jyppul4o 44 26 others other NNS cord-125330-jyppul4o 44 27 to to TO cord-125330-jyppul4o 44 28 drink drink VB cord-125330-jyppul4o 44 29 more more JJR cord-125330-jyppul4o 44 30 via via IN cord-125330-jyppul4o 44 31 social social JJ cord-125330-jyppul4o 44 32 contact contact NN cord-125330-jyppul4o 44 33 . . . cord-125330-jyppul4o 45 1 This this DT cord-125330-jyppul4o 45 2 transition transition NN cord-125330-jyppul4o 45 3 M M NNP cord-125330-jyppul4o 46 1 → → IN cord-125330-jyppul4o 46 2 R r NN cord-125330-jyppul4o 46 3 can can MD cord-125330-jyppul4o 46 4 also also RB cord-125330-jyppul4o 46 5 occur occur VB cord-125330-jyppul4o 46 6 spontaneously spontaneously RB cord-125330-jyppul4o 46 7 , , , cord-125330-jyppul4o 46 8 with with IN cord-125330-jyppul4o 46 9 probability probability NN cord-125330-jyppul4o 46 10 α α NN cord-125330-jyppul4o 46 11 , , , cord-125330-jyppul4o 46 12 if if IN cord-125330-jyppul4o 46 13 a a DT cord-125330-jyppul4o 46 14 given give VBN cord-125330-jyppul4o 46 15 agent agent NN cord-125330-jyppul4o 46 16 increase increase VB cord-125330-jyppul4o 46 17 his -PRON- PRP$ cord-125330-jyppul4o 46 18 / / SYM cord-125330-jyppul4o 46 19 her -PRON- PRP$ cord-125330-jyppul4o 46 20 alcohol alcohol NN cord-125330-jyppul4o 46 21 consumption consumption NN cord-125330-jyppul4o 46 22 -this -this : cord-125330-jyppul4o 46 23 is be VBZ cord-125330-jyppul4o 46 24 the the DT cord-125330-jyppul4o 46 25 only only JJ cord-125330-jyppul4o 46 26 migration migration NN cord-125330-jyppul4o 46 27 pathway pathway NN cord-125330-jyppul4o 46 28 from from IN cord-125330-jyppul4o 46 29 one one CD cord-125330-jyppul4o 46 30 group group NN cord-125330-jyppul4o 46 31 to to IN cord-125330-jyppul4o 46 32 another another DT cord-125330-jyppul4o 46 33 , , , cord-125330-jyppul4o 46 34 in in IN cord-125330-jyppul4o 46 35 this this DT cord-125330-jyppul4o 46 36 model model NN cord-125330-jyppul4o 46 37 , , , cord-125330-jyppul4o 46 38 that that WDT cord-125330-jyppul4o 46 39 does do VBZ cord-125330-jyppul4o 46 40 not not RB cord-125330-jyppul4o 46 41 depend depend VB cord-125330-jyppul4o 46 42 on on IN cord-125330-jyppul4o 46 43 the the DT cord-125330-jyppul4o 46 44 population population NN cord-125330-jyppul4o 46 45 of of IN cord-125330-jyppul4o 46 46 the the DT cord-125330-jyppul4o 46 47 receiving receive VBG cord-125330-jyppul4o 46 48 compartment compartment NN cord-125330-jyppul4o 46 49 , , , cord-125330-jyppul4o 46 50 since since IN cord-125330-jyppul4o 46 51 it -PRON- PRP cord-125330-jyppul4o 46 52 corresponds correspond VBZ cord-125330-jyppul4o 46 53 to to IN cord-125330-jyppul4o 46 54 a a DT cord-125330-jyppul4o 46 55 self self NN cord-125330-jyppul4o 46 56 - - HYPH cord-125330-jyppul4o 46 57 induced induce VBN cord-125330-jyppul4o 46 58 progression progression NN cord-125330-jyppul4o 46 59 from from IN cord-125330-jyppul4o 46 60 Moderate Moderate NNP cord-125330-jyppul4o 46 61 ( ( -LRB- cord-125330-jyppul4o 46 62 M M NNP cord-125330-jyppul4o 46 63 ) ) -RRB- cord-125330-jyppul4o 46 64 to to IN cord-125330-jyppul4o 46 65 Risk risk NN cord-125330-jyppul4o 46 66 ( ( -LRB- cord-125330-jyppul4o 46 67 R r NN cord-125330-jyppul4o 46 68 ) ) -RRB- cord-125330-jyppul4o 46 69 drinking drinking NN cord-125330-jyppul4o 46 70 . . . cord-125330-jyppul4o 47 1 As as IN cord-125330-jyppul4o 47 2 stated state VBN cord-125330-jyppul4o 47 3 in in IN cord-125330-jyppul4o 47 4 the the DT cord-125330-jyppul4o 47 5 introduction introduction NN cord-125330-jyppul4o 47 6 , , , cord-125330-jyppul4o 47 7 above above RB cord-125330-jyppul4o 47 8 , , , cord-125330-jyppul4o 47 9 the the DT cord-125330-jyppul4o 47 10 increase increase NN cord-125330-jyppul4o 47 11 of of IN cord-125330-jyppul4o 47 12 alcohol alcohol NN cord-125330-jyppul4o 47 13 consumption consumption NN cord-125330-jyppul4o 47 14 has have VBZ cord-125330-jyppul4o 47 15 been be VBN cord-125330-jyppul4o 47 16 documented document VBN cord-125330-jyppul4o 47 17 to to TO cord-125330-jyppul4o 47 18 occur occur VB cord-125330-jyppul4o 47 19 under under IN cord-125330-jyppul4o 47 20 stressful stressful JJ cord-125330-jyppul4o 47 21 circumstances circumstance NNS cord-125330-jyppul4o 47 22 ( ( -LRB- cord-125330-jyppul4o 47 23 like like IN cord-125330-jyppul4o 47 24 the the DT cord-125330-jyppul4o 47 25 COVID-19 COVID-19 NNP cord-125330-jyppul4o 47 26 pandemic pandemic NN cord-125330-jyppul4o 47 27 ) ) -RRB- cord-125330-jyppul4o 47 28 or or CC cord-125330-jyppul4o 47 29 clinical clinical JJ cord-125330-jyppul4o 47 30 depression depression NN cord-125330-jyppul4o 47 31 , , , cord-125330-jyppul4o 47 32 regardless regardless RB cord-125330-jyppul4o 47 33 of of IN cord-125330-jyppul4o 47 34 social social JJ cord-125330-jyppul4o 47 35 interaction interaction NN cord-125330-jyppul4o 47 36 with with IN cord-125330-jyppul4o 47 37 Risk risk NN cord-125330-jyppul4o 47 38 drinkers drinker NNS cord-125330-jyppul4o 47 39 . . . cord-125330-jyppul4o 48 1 Finally finally RB cord-125330-jyppul4o 48 2 , , , cord-125330-jyppul4o 48 3 the the DT cord-125330-jyppul4o 48 4 probability probability NN cord-125330-jyppul4o 48 5 γ γ NN cord-125330-jyppul4o 48 6 represents represent VBZ cord-125330-jyppul4o 48 7 the the DT cord-125330-jyppul4o 48 8 infection infection NN cord-125330-jyppul4o 48 9 probability probability NN cord-125330-jyppul4o 48 10 that that WDT cord-125330-jyppul4o 48 11 turn turn VBP cord-125330-jyppul4o 48 12 Risk risk NN cord-125330-jyppul4o 48 13 drinkers drinker NNS cord-125330-jyppul4o 48 14 R r VBP cord-125330-jyppul4o 48 15 into into IN cord-125330-jyppul4o 48 16 Susceptible susceptible JJ cord-125330-jyppul4o 48 17 agents agent NNS cord-125330-jyppul4o 48 18 S. S. NNP cord-125330-jyppul4o 49 1 In in IN cord-125330-jyppul4o 49 2 this this DT cord-125330-jyppul4o 49 3 case case NN cord-125330-jyppul4o 49 4 , , , cord-125330-jyppul4o 49 5 it -PRON- PRP cord-125330-jyppul4o 49 6 can can MD cord-125330-jyppul4o 49 7 represent represent VB cord-125330-jyppul4o 49 8 the the DT cord-125330-jyppul4o 49 9 pressure pressure NN cord-125330-jyppul4o 49 10 of of IN cord-125330-jyppul4o 49 11 social social JJ cord-125330-jyppul4o 49 12 contacts contact NNS cord-125330-jyppul4o 49 13 ( ( -LRB- cord-125330-jyppul4o 49 14 family family NN cord-125330-jyppul4o 49 15 , , , cord-125330-jyppul4o 49 16 friends friend NNS cord-125330-jyppul4o 49 17 , , , cord-125330-jyppul4o 49 18 etc etc FW cord-125330-jyppul4o 49 19 ) ) -RRB- cord-125330-jyppul4o 49 20 over over IN cord-125330-jyppul4o 49 21 individuals individual NNS cord-125330-jyppul4o 49 22 that that WDT cord-125330-jyppul4o 49 23 drink drink VBP cord-125330-jyppul4o 49 24 excessively excessively RB cord-125330-jyppul4o 49 25 . . . cord-125330-jyppul4o 50 1 We -PRON- PRP cord-125330-jyppul4o 50 2 did do VBD cord-125330-jyppul4o 50 3 not not RB cord-125330-jyppul4o 50 4 take take VB cord-125330-jyppul4o 50 5 into into IN cord-125330-jyppul4o 50 6 account account NN cord-125330-jyppul4o 50 7 transitions transition NNS cord-125330-jyppul4o 50 8 from from IN cord-125330-jyppul4o 50 9 Risk risk NN cord-125330-jyppul4o 50 10 ( ( -LRB- cord-125330-jyppul4o 50 11 R r NN cord-125330-jyppul4o 50 12 ) ) -RRB- cord-125330-jyppul4o 50 13 to to IN cord-125330-jyppul4o 50 14 Moderate Moderate NNP cord-125330-jyppul4o 50 15 ( ( -LRB- cord-125330-jyppul4o 50 16 M M NNP cord-125330-jyppul4o 50 17 ) ) -RRB- cord-125330-jyppul4o 50 18 , , , cord-125330-jyppul4o 50 19 assuming assume VBG cord-125330-jyppul4o 50 20 that that IN cord-125330-jyppul4o 50 21 , , , cord-125330-jyppul4o 50 22 as as IN cord-125330-jyppul4o 50 23 a a DT cord-125330-jyppul4o 50 24 rule rule NN cord-125330-jyppul4o 50 25 , , , cord-125330-jyppul4o 50 26 once once RB cord-125330-jyppul4o 50 27 an an DT cord-125330-jyppul4o 50 28 individual individual NN cord-125330-jyppul4o 50 29 reaches reach VBZ cord-125330-jyppul4o 50 30 a a DT cord-125330-jyppul4o 50 31 behavior behavior NN cord-125330-jyppul4o 50 32 of of IN cord-125330-jyppul4o 50 33 excessive excessive JJ cord-125330-jyppul4o 50 34 consumption consumption NN cord-125330-jyppul4o 50 35 of of IN cord-125330-jyppul4o 50 36 alcohol alcohol NN cord-125330-jyppul4o 50 37 , , , cord-125330-jyppul4o 50 38 contact contact NN cord-125330-jyppul4o 50 39 with with IN cord-125330-jyppul4o 50 40 Moderate moderate JJ cord-125330-jyppul4o 50 41 drinkers drinker NNS cord-125330-jyppul4o 50 42 does do VBZ cord-125330-jyppul4o 50 43 not not RB cord-125330-jyppul4o 50 44 imply imply VB cord-125330-jyppul4o 50 45 on on IN cord-125330-jyppul4o 50 46 a a DT cord-125330-jyppul4o 50 47 tendency tendency NN cord-125330-jyppul4o 50 48 to to TO cord-125330-jyppul4o 50 49 lower lower VB cord-125330-jyppul4o 50 50 one one CD cord-125330-jyppul4o 50 51 's 's POS cord-125330-jyppul4o 50 52 consumption consumption NN cord-125330-jyppul4o 50 53 -meanwhile -meanwhile RB cord-125330-jyppul4o 50 54 , , , cord-125330-jyppul4o 50 55 it -PRON- PRP cord-125330-jyppul4o 50 56 is be VBZ cord-125330-jyppul4o 50 57 assumed assume VBN cord-125330-jyppul4o 50 58 that that IN cord-125330-jyppul4o 50 59 contacts contact NNS cord-125330-jyppul4o 50 60 that that WDT cord-125330-jyppul4o 50 61 do do VBP cord-125330-jyppul4o 50 62 not not RB cord-125330-jyppul4o 50 63 drink drink VB cord-125330-jyppul4o 50 64 at at RB cord-125330-jyppul4o 50 65 all all DT cord-125330-jyppul4o 50 66 are be VBP cord-125330-jyppul4o 50 67 able able JJ cord-125330-jyppul4o 50 68 to to TO cord-125330-jyppul4o 50 69 exert exert VB cord-125330-jyppul4o 50 70 a a DT cord-125330-jyppul4o 50 71 higher high JJR cord-125330-jyppul4o 50 72 pressure pressure NN cord-125330-jyppul4o 50 73 on on IN cord-125330-jyppul4o 50 74 them -PRON- PRP cord-125330-jyppul4o 50 75 to to TO cord-125330-jyppul4o 50 76 quit quit VB cord-125330-jyppul4o 50 77 drinking drink VBG cord-125330-jyppul4o 50 78 . . . cord-125330-jyppul4o 51 1 It -PRON- PRP cord-125330-jyppul4o 51 2 is be VBZ cord-125330-jyppul4o 51 3 not not RB cord-125330-jyppul4o 51 4 that that IN cord-125330-jyppul4o 51 5 the the DT cord-125330-jyppul4o 51 6 from from IN cord-125330-jyppul4o 51 7 Risk risk NN cord-125330-jyppul4o 51 8 to to IN cord-125330-jyppul4o 51 9 Moderate moderate JJ cord-125330-jyppul4o 51 10 transition transition NN cord-125330-jyppul4o 51 11 can can MD cord-125330-jyppul4o 51 12 not not RB cord-125330-jyppul4o 51 13 occur occur VB cord-125330-jyppul4o 51 14 -it -it : cord-125330-jyppul4o 51 15 is be VBZ cord-125330-jyppul4o 51 16 just just RB cord-125330-jyppul4o 51 17 that that DT cord-125330-jyppul4o 51 18 for for IN cord-125330-jyppul4o 51 19 our -PRON- PRP$ cord-125330-jyppul4o 51 20 model model NN cord-125330-jyppul4o 51 21 this this DT cord-125330-jyppul4o 51 22 probability probability NN cord-125330-jyppul4o 51 23 , , , cord-125330-jyppul4o 51 24 when when WRB cord-125330-jyppul4o 51 25 comparing compare VBG cord-125330-jyppul4o 51 26 it -PRON- PRP cord-125330-jyppul4o 51 27 with with IN cord-125330-jyppul4o 51 28 the the DT cord-125330-jyppul4o 51 29 overall overall JJ cord-125330-jyppul4o 51 30 picture picture NN cord-125330-jyppul4o 51 31 , , , cord-125330-jyppul4o 51 32 is be VBZ cord-125330-jyppul4o 51 33 negligible negligible JJ cord-125330-jyppul4o 51 34 . . . cord-125330-jyppul4o 52 1 For for IN cord-125330-jyppul4o 52 2 simplicity simplicity NN cord-125330-jyppul4o 52 3 , , , cord-125330-jyppul4o 52 4 we -PRON- PRP cord-125330-jyppul4o 52 5 consider consider VBP cord-125330-jyppul4o 52 6 a a DT cord-125330-jyppul4o 52 7 fixed fix VBN cord-125330-jyppul4o 52 8 population population NN cord-125330-jyppul4o 52 9 , , , cord-125330-jyppul4o 52 10 i.e. i.e. FW cord-125330-jyppul4o 52 11 , , , cord-125330-jyppul4o 52 12 at at IN cord-125330-jyppul4o 52 13 each each DT cord-125330-jyppul4o 52 14 time time NN cord-125330-jyppul4o 52 15 step step NN cord-125330-jyppul4o 52 16 t t NN cord-125330-jyppul4o 52 17 we -PRON- PRP cord-125330-jyppul4o 52 18 have have VBP cord-125330-jyppul4o 52 19 the the DT cord-125330-jyppul4o 52 20 normalization normalization NN cord-125330-jyppul4o 52 21 condition condition NN cord-125330-jyppul4o 52 22 s(t s(t NNP cord-125330-jyppul4o 52 23 ) ) -RRB- cord-125330-jyppul4o 52 24 + + SYM cord-125330-jyppul4o 52 25 m(t m(t NNP cord-125330-jyppul4o 52 26 ) ) -RRB- cord-125330-jyppul4o 52 27 + + CC cord-125330-jyppul4o 52 28 r(t r(t NNP cord-125330-jyppul4o 52 29 ) ) -RRB- cord-125330-jyppul4o 52 30 = = NFP cord-125330-jyppul4o 53 1 1 1 LS cord-125330-jyppul4o 53 2 , , , cord-125330-jyppul4o 53 3 where where WRB cord-125330-jyppul4o 53 4 we -PRON- PRP cord-125330-jyppul4o 53 5 defined define VBD cord-125330-jyppul4o 53 6 the the DT cord-125330-jyppul4o 53 7 population population NN cord-125330-jyppul4o 53 8 densities density NNS cord-125330-jyppul4o 53 9 s(t s(t NNP cord-125330-jyppul4o 53 10 ) ) -RRB- cord-125330-jyppul4o 54 1 = = NFP cord-125330-jyppul4o 55 1 S(t)/N S(t)/N NNP cord-125330-jyppul4o 55 2 , , , cord-125330-jyppul4o 55 3 m(t m(t NNP cord-125330-jyppul4o 55 4 ) ) -RRB- cord-125330-jyppul4o 55 5 = = NFP cord-125330-jyppul4o 56 1 M(t)/N M(t)/N NNP cord-125330-jyppul4o 56 2 and and CC cord-125330-jyppul4o 56 3 r(t r(t NNP cord-125330-jyppul4o 56 4 ) ) -RRB- cord-125330-jyppul4o 57 1 = = NFP cord-125330-jyppul4o 58 1 R(t)/N. R(t)/N. NNP cord-125330-jyppul4o 59 1 Since since IN cord-125330-jyppul4o 59 2 we -PRON- PRP cord-125330-jyppul4o 59 3 will will MD cord-125330-jyppul4o 59 4 only only RB cord-125330-jyppul4o 59 5 deal deal VB cord-125330-jyppul4o 59 6 with with IN cord-125330-jyppul4o 59 7 the the DT cord-125330-jyppul4o 59 8 relative relative JJ cord-125330-jyppul4o 59 9 proportions proportion NNS cord-125330-jyppul4o 59 10 among among IN cord-125330-jyppul4o 59 11 the the DT cord-125330-jyppul4o 59 12 three three CD cord-125330-jyppul4o 59 13 different different JJ cord-125330-jyppul4o 59 14 groups group NNS cord-125330-jyppul4o 59 15 in in IN cord-125330-jyppul4o 59 16 relation relation NN cord-125330-jyppul4o 59 17 to to IN cord-125330-jyppul4o 59 18 the the DT cord-125330-jyppul4o 59 19 total total JJ cord-125330-jyppul4o 59 20 population population NN cord-125330-jyppul4o 59 21 N N NNP cord-125330-jyppul4o 59 22 , , , cord-125330-jyppul4o 59 23 i.e. i.e. FW cord-125330-jyppul4o 59 24 the the DT cord-125330-jyppul4o 59 25 population population NN cord-125330-jyppul4o 59 26 densities density NNS cord-125330-jyppul4o 59 27 , , , cord-125330-jyppul4o 59 28 we -PRON- PRP cord-125330-jyppul4o 59 29 will will MD cord-125330-jyppul4o 59 30 not not RB cord-125330-jyppul4o 59 31 take take VB cord-125330-jyppul4o 59 32 into into IN cord-125330-jyppul4o 59 33 account account NN cord-125330-jyppul4o 59 34 birth birth NN cord-125330-jyppul4o 59 35 - - HYPH cord-125330-jyppul4o 59 36 mortality mortality NN cord-125330-jyppul4o 59 37 relations relation NNS cord-125330-jyppul4o 59 38 and and CC cord-125330-jyppul4o 59 39 populational populational JJ cord-125330-jyppul4o 59 40 increase increase NN cord-125330-jyppul4o 59 41 / / SYM cord-125330-jyppul4o 59 42 decrease decrease NN cord-125330-jyppul4o 59 43 effects effect NNS cord-125330-jyppul4o 59 44 . . . cord-125330-jyppul4o 60 1 So so RB cord-125330-jyppul4o 60 2 , , , cord-125330-jyppul4o 60 3 even even RB cord-125330-jyppul4o 60 4 if if IN cord-125330-jyppul4o 60 5 N n NN cord-125330-jyppul4o 60 6 is be VBZ cord-125330-jyppul4o 60 7 not not RB cord-125330-jyppul4o 60 8 a a DT cord-125330-jyppul4o 60 9 constant constant JJ cord-125330-jyppul4o 60 10 number number NN cord-125330-jyppul4o 60 11 , , , cord-125330-jyppul4o 60 12 for for IN cord-125330-jyppul4o 60 13 all all DT cord-125330-jyppul4o 60 14 mod mod NN cord-125330-jyppul4o 60 15 - - HYPH cord-125330-jyppul4o 60 16 elling elle VBG cord-125330-jyppul4o 60 17 purposes purpose NNS cord-125330-jyppul4o 60 18 it -PRON- PRP cord-125330-jyppul4o 60 19 will will MD cord-125330-jyppul4o 60 20 not not RB cord-125330-jyppul4o 60 21 matter matter VB cord-125330-jyppul4o 60 22 due due IN cord-125330-jyppul4o 60 23 to to IN cord-125330-jyppul4o 60 24 the the DT cord-125330-jyppul4o 60 25 fact fact NN cord-125330-jyppul4o 60 26 that that IN cord-125330-jyppul4o 60 27 we -PRON- PRP cord-125330-jyppul4o 60 28 will will MD cord-125330-jyppul4o 60 29 deal deal VB cord-125330-jyppul4o 60 30 only only RB cord-125330-jyppul4o 60 31 with with IN cord-125330-jyppul4o 60 32 the the DT cord-125330-jyppul4o 60 33 s(t s(t NNP cord-125330-jyppul4o 60 34 ) ) -RRB- cord-125330-jyppul4o 60 35 , , , cord-125330-jyppul4o 60 36 m(t m(t NNP cord-125330-jyppul4o 60 37 ) ) -RRB- cord-125330-jyppul4o 60 38 and and CC cord-125330-jyppul4o 60 39 r(t r(t NNP cord-125330-jyppul4o 60 40 ) ) -RRB- cord-125330-jyppul4o 60 41 subpopulations subpopulation NNS cord-125330-jyppul4o 60 42 in in IN cord-125330-jyppul4o 60 43 relation relation NN cord-125330-jyppul4o 60 44 to to IN cord-125330-jyppul4o 60 45 the the DT cord-125330-jyppul4o 60 46 total total JJ cord-125330-jyppul4o 60 47 population population NN cord-125330-jyppul4o 60 48 . . . cord-125330-jyppul4o 61 1 One one CD cord-125330-jyppul4o 61 2 other other JJ cord-125330-jyppul4o 61 3 way way NN cord-125330-jyppul4o 61 4 of of IN cord-125330-jyppul4o 61 5 looking look VBG cord-125330-jyppul4o 61 6 at at IN cord-125330-jyppul4o 61 7 this this DT cord-125330-jyppul4o 61 8 approximation approximation NN cord-125330-jyppul4o 61 9 is be VBZ cord-125330-jyppul4o 61 10 to to TO cord-125330-jyppul4o 61 11 consider consider VB cord-125330-jyppul4o 61 12 only only RB cord-125330-jyppul4o 61 13 the the DT cord-125330-jyppul4o 61 14 adult adult NN cord-125330-jyppul4o 61 15 population population NN cord-125330-jyppul4o 61 16 as as IN cord-125330-jyppul4o 61 17 relevant relevant JJ cord-125330-jyppul4o 61 18 to to IN cord-125330-jyppul4o 61 19 our -PRON- PRP$ cord-125330-jyppul4o 61 20 modelling modelling NN cord-125330-jyppul4o 61 21 , , , cord-125330-jyppul4o 61 22 and and CC cord-125330-jyppul4o 61 23 assume assume VB cord-125330-jyppul4o 61 24 that that IN cord-125330-jyppul4o 61 25 new new JJ cord-125330-jyppul4o 61 26 individuals individual NNS cord-125330-jyppul4o 61 27 coming come VBG cord-125330-jyppul4o 61 28 of of IN cord-125330-jyppul4o 61 29 age age NN cord-125330-jyppul4o 61 30 correspond correspond VBP cord-125330-jyppul4o 61 31 to to IN cord-125330-jyppul4o 61 32 the the DT cord-125330-jyppul4o 61 33 number number NN cord-125330-jyppul4o 61 34 of of IN cord-125330-jyppul4o 61 35 deaths death NNS cord-125330-jyppul4o 61 36 [ [ -LRB- cord-125330-jyppul4o 61 37 24 24 CD cord-125330-jyppul4o 61 38 , , , cord-125330-jyppul4o 61 39 25 25 CD cord-125330-jyppul4o 61 40 ] ] -RRB- cord-125330-jyppul4o 61 41 . . . cord-125330-jyppul4o 62 1 Based base VBN cord-125330-jyppul4o 62 2 on on IN cord-125330-jyppul4o 62 3 the the DT cord-125330-jyppul4o 62 4 microscopic microscopic JJ cord-125330-jyppul4o 62 5 rules rule NNS cord-125330-jyppul4o 62 6 defined define VBN cord-125330-jyppul4o 62 7 in in IN cord-125330-jyppul4o 62 8 the the DT cord-125330-jyppul4o 62 9 previous previous JJ cord-125330-jyppul4o 62 10 subsection subsection NN cord-125330-jyppul4o 62 11 , , , cord-125330-jyppul4o 62 12 one one PRP cord-125330-jyppul4o 62 13 can can MD cord-125330-jyppul4o 62 14 write write VB cord-125330-jyppul4o 62 15 the the DT cord-125330-jyppul4o 62 16 master master NN cord-125330-jyppul4o 62 17 equations equation NNS cord-125330-jyppul4o 62 18 that that WDT cord-125330-jyppul4o 62 19 describe describe VBP cord-125330-jyppul4o 62 20 the the DT cord-125330-jyppul4o 62 21 time time NN cord-125330-jyppul4o 62 22 evolution evolution NN cord-125330-jyppul4o 62 23 of of IN cord-125330-jyppul4o 62 24 the the DT cord-125330-jyppul4o 62 25 densities density NNS cord-125330-jyppul4o 62 26 s(t s(t NNP cord-125330-jyppul4o 62 27 ) ) -RRB- cord-125330-jyppul4o 62 28 , , , cord-125330-jyppul4o 62 29 m(t m(t NNP cord-125330-jyppul4o 62 30 ) ) -RRB- cord-125330-jyppul4o 62 31 and and CC cord-125330-jyppul4o 62 32 r(t r(t NNP cord-125330-jyppul4o 62 33 ) ) -RRB- cord-125330-jyppul4o 62 34 as as IN cord-125330-jyppul4o 62 35 follows follow VBZ cord-125330-jyppul4o 62 36 , , , cord-125330-jyppul4o 62 37 and and CC cord-125330-jyppul4o 62 38 we -PRON- PRP cord-125330-jyppul4o 62 39 also also RB cord-125330-jyppul4o 62 40 have have VBP cord-125330-jyppul4o 62 41 the the DT cord-125330-jyppul4o 62 42 normalization normalization NN cord-125330-jyppul4o 62 43 condition condition NN cord-125330-jyppul4o 62 44 valid valid JJ cord-125330-jyppul4o 62 45 at at IN cord-125330-jyppul4o 62 46 each each DT cord-125330-jyppul4o 62 47 time time NN cord-125330-jyppul4o 62 48 step step NN cord-125330-jyppul4o 62 49 t. t. NNP cord-125330-jyppul4o 62 50 First first RB cord-125330-jyppul4o 62 51 of of IN cord-125330-jyppul4o 62 52 all all DT cord-125330-jyppul4o 62 53 , , , cord-125330-jyppul4o 62 54 one one PRP cord-125330-jyppul4o 62 55 can can MD cord-125330-jyppul4o 62 56 analyze analyze VB cord-125330-jyppul4o 62 57 the the DT cord-125330-jyppul4o 62 58 early early JJ cord-125330-jyppul4o 62 59 evolution evolution NN cord-125330-jyppul4o 62 60 of of IN cord-125330-jyppul4o 62 61 the the DT cord-125330-jyppul4o 62 62 population population NN cord-125330-jyppul4o 62 63 , , , cord-125330-jyppul4o 62 64 for for IN cord-125330-jyppul4o 62 65 small small JJ cord-125330-jyppul4o 62 66 times time NNS cord-125330-jyppul4o 62 67 . . . cord-125330-jyppul4o 63 1 Considering consider VBG cord-125330-jyppul4o 63 2 the the DT cord-125330-jyppul4o 63 3 initial initial JJ cord-125330-jyppul4o 63 4 conditions condition NNS cord-125330-jyppul4o 63 5 s(0 s(0 NNP cord-125330-jyppul4o 63 6 ) ) -RRB- cord-125330-jyppul4o 63 7 ≈ ≈ NNP cord-125330-jyppul4o 63 8 1 1 CD cord-125330-jyppul4o 63 9 , , , cord-125330-jyppul4o 63 10 m(0 m(0 NNP cord-125330-jyppul4o 63 11 ) ) -RRB- cord-125330-jyppul4o 64 1 ≈ ≈ NNP cord-125330-jyppul4o 64 2 1 1 CD cord-125330-jyppul4o 64 3 / / SYM cord-125330-jyppul4o 64 4 N n CD cord-125330-jyppul4o 64 5 and and CC cord-125330-jyppul4o 65 1 r(0 r(0 NNP cord-125330-jyppul4o 65 2 ) ) -RRB- cord-125330-jyppul4o 65 3 = = SYM cord-125330-jyppul4o 65 4 0 0 CD cord-125330-jyppul4o 65 5 , , , cord-125330-jyppul4o 65 6 one one PRP cord-125330-jyppul4o 65 7 can can MD cord-125330-jyppul4o 65 8 linearize linearize VB cord-125330-jyppul4o 65 9 Eq Eq NNP cord-125330-jyppul4o 65 10 . . . cord-125330-jyppul4o 66 1 ( ( -LRB- cord-125330-jyppul4o 66 2 2 2 LS cord-125330-jyppul4o 66 3 ) ) -RRB- cord-125330-jyppul4o 66 4 to to TO cord-125330-jyppul4o 66 5 obtain obtain VB cord-125330-jyppul4o 66 6 that that WDT cord-125330-jyppul4o 66 7 can can MD cord-125330-jyppul4o 66 8 be be VB cord-125330-jyppul4o 66 9 directly directly RB cord-125330-jyppul4o 66 10 integrated integrate VBN cord-125330-jyppul4o 66 11 to to TO cord-125330-jyppul4o 66 12 obtain obtain VB cord-125330-jyppul4o 66 13 m(t m(t NNP cord-125330-jyppul4o 66 14 ) ) -RRB- cord-125330-jyppul4o 66 15 = = NFP cord-125330-jyppul4o 67 1 m m LS cord-125330-jyppul4o 67 2 0 0 CD cord-125330-jyppul4o 68 1 e e LS cord-125330-jyppul4o 68 2 α(R α(R NNP cord-125330-jyppul4o 68 3 0 0 CD cord-125330-jyppul4o 68 4 −1 −1 NNP cord-125330-jyppul4o 68 5 ) ) -RRB- cord-125330-jyppul4o 69 1 t t NNP cord-125330-jyppul4o 69 2 , , , cord-125330-jyppul4o 69 3 where where WRB cord-125330-jyppul4o 69 4 m m NN cord-125330-jyppul4o 69 5 0 0 CD cord-125330-jyppul4o 69 6 = = SYM cord-125330-jyppul4o 69 7 m(t m(t NN cord-125330-jyppul4o 69 8 = = SYM cord-125330-jyppul4o 69 9 0 0 CD cord-125330-jyppul4o 69 10 ) ) -RRB- cord-125330-jyppul4o 69 11 and and CC cord-125330-jyppul4o 69 12 one one PRP cord-125330-jyppul4o 69 13 can can MD cord-125330-jyppul4o 69 14 obtain obtain VB cord-125330-jyppul4o 69 15 the the DT cord-125330-jyppul4o 69 16 expression expression NN cord-125330-jyppul4o 69 17 for for IN cord-125330-jyppul4o 69 18 the the DT cord-125330-jyppul4o 69 19 basic basic JJ cord-125330-jyppul4o 69 20 reproduction reproduction NN cord-125330-jyppul4o 69 21 number number NN cord-125330-jyppul4o 69 22 As as IN cord-125330-jyppul4o 69 23 it -PRON- PRP cord-125330-jyppul4o 69 24 is be VBZ cord-125330-jyppul4o 69 25 usual usual JJ cord-125330-jyppul4o 69 26 in in IN cord-125330-jyppul4o 69 27 epidemic epidemic NN cord-125330-jyppul4o 69 28 models model NNS cord-125330-jyppul4o 69 29 [ [ -LRB- cord-125330-jyppul4o 69 30 1 1 CD cord-125330-jyppul4o 69 31 , , , cord-125330-jyppul4o 69 32 27 27 CD cord-125330-jyppul4o 69 33 ] ] -RRB- cord-125330-jyppul4o 69 34 , , , cord-125330-jyppul4o 69 35 the the DT cord-125330-jyppul4o 69 36 disease disease NN cord-125330-jyppul4o 69 37 ( ( -LRB- cord-125330-jyppul4o 69 38 alcoholism alcoholism NN cord-125330-jyppul4o 69 39 ) ) -RRB- cord-125330-jyppul4o 69 40 will will MD cord-125330-jyppul4o 69 41 persist persist VB cord-125330-jyppul4o 69 42 in in IN cord-125330-jyppul4o 69 43 the the DT cord-125330-jyppul4o 69 44 population population NN cord-125330-jyppul4o 69 45 if if IN cord-125330-jyppul4o 69 46 R r NN cord-125330-jyppul4o 69 47 0 0 CD cord-125330-jyppul4o 69 48 > > SYM cord-125330-jyppul4o 69 49 1 1 CD cord-125330-jyppul4o 69 50 , , , cord-125330-jyppul4o 69 51 i.e. i.e. FW cord-125330-jyppul4o 69 52 , , , cord-125330-jyppul4o 69 53 for for IN cord-125330-jyppul4o 69 54 β β NN cord-125330-jyppul4o 69 55 > > XX cord-125330-jyppul4o 69 56 α α XX cord-125330-jyppul4o 69 57 . . . cord-125330-jyppul4o 70 1 One one PRP cord-125330-jyppul4o 70 2 can can MD cord-125330-jyppul4o 70 3 start start VB cord-125330-jyppul4o 70 4 analyzing analyze VBG cord-125330-jyppul4o 70 5 the the DT cord-125330-jyppul4o 70 6 time time NN cord-125330-jyppul4o 70 7 evolution evolution NN cord-125330-jyppul4o 70 8 of of IN cord-125330-jyppul4o 70 9 the the DT cord-125330-jyppul4o 70 10 three three CD cord-125330-jyppul4o 70 11 classes class NNS cord-125330-jyppul4o 70 12 of of IN cord-125330-jyppul4o 70 13 individuals individual NNS cord-125330-jyppul4o 70 14 . . . cord-125330-jyppul4o 71 1 We -PRON- PRP cord-125330-jyppul4o 71 2 numerically numerically RB cord-125330-jyppul4o 71 3 integrated integrate VBD cord-125330-jyppul4o 71 4 Eqs Eqs NNP cord-125330-jyppul4o 71 5 . . . cord-125330-jyppul4o 72 1 ( ( -LRB- cord-125330-jyppul4o 72 2 1 1 CD cord-125330-jyppul4o 72 3 ) ) -RRB- cord-125330-jyppul4o 72 4 , , , cord-125330-jyppul4o 72 5 ( ( -LRB- cord-125330-jyppul4o 72 6 2 2 LS cord-125330-jyppul4o 72 7 ) ) -RRB- cord-125330-jyppul4o 72 8 and and CC cord-125330-jyppul4o 72 9 ( ( -LRB- cord-125330-jyppul4o 72 10 3 3 LS cord-125330-jyppul4o 72 11 ) ) -RRB- cord-125330-jyppul4o 72 12 the the DT cord-125330-jyppul4o 72 13 effects effect NNS cord-125330-jyppul4o 72 14 of of IN cord-125330-jyppul4o 72 15 the the DT cord-125330-jyppul4o 72 16 variation variation NN cord-125330-jyppul4o 72 17 of of IN cord-125330-jyppul4o 72 18 the the DT cord-125330-jyppul4o 72 19 model model NN cord-125330-jyppul4o 72 20 's 's POS cord-125330-jyppul4o 72 21 parameters parameter NNS cord-125330-jyppul4o 72 22 . . . cord-125330-jyppul4o 73 1 As as IN cord-125330-jyppul4o 73 2 initial initial JJ cord-125330-jyppul4o 73 3 conditions condition NNS cord-125330-jyppul4o 73 4 , , , cord-125330-jyppul4o 73 5 we -PRON- PRP cord-125330-jyppul4o 73 6 considered consider VBD cord-125330-jyppul4o 73 7 s(0 s(0 NNP cord-125330-jyppul4o 73 8 ) ) -RRB- cord-125330-jyppul4o 73 9 = = SYM cord-125330-jyppul4o 73 10 0.99 0.99 CD cord-125330-jyppul4o 73 11 , , , cord-125330-jyppul4o 73 12 m(0 m(0 NNP cord-125330-jyppul4o 73 13 ) ) -RRB- cord-125330-jyppul4o 73 14 = = NFP cord-125330-jyppul4o 74 1 0.01 0.01 CD cord-125330-jyppul4o 74 2 and and CC cord-125330-jyppul4o 74 3 r(0 r(0 NNP cord-125330-jyppul4o 74 4 ) ) -RRB- cord-125330-jyppul4o 74 5 = = SYM cord-125330-jyppul4o 74 6 0 0 CD cord-125330-jyppul4o 74 7 , , , cord-125330-jyppul4o 74 8 and and CC cord-125330-jyppul4o 74 9 for for IN cord-125330-jyppul4o 74 10 simplicity simplicity NN cord-125330-jyppul4o 74 11 we -PRON- PRP cord-125330-jyppul4o 74 12 fixed fix VBD cord-125330-jyppul4o 74 13 α α NN cord-125330-jyppul4o 74 14 = = SYM cord-125330-jyppul4o 74 15 0.03 0.03 CD cord-125330-jyppul4o 74 16 and and CC cord-125330-jyppul4o 74 17 δ δ NN cord-125330-jyppul4o 74 18 = = SYM cord-125330-jyppul4o 74 19 0.07 0.07 CD cord-125330-jyppul4o 74 20 , , , cord-125330-jyppul4o 74 21 varying vary VBG cord-125330-jyppul4o 74 22 the the DT cord-125330-jyppul4o 74 23 parameters parameter NNS cord-125330-jyppul4o 74 24 β β NN cord-125330-jyppul4o 74 25 and and CC cord-125330-jyppul4o 74 26 γ γ NN cord-125330-jyppul4o 74 27 . . . cord-125330-jyppul4o 75 1 In in IN cord-125330-jyppul4o 75 2 Fig Fig NNP cord-125330-jyppul4o 75 3 . . . cord-125330-jyppul4o 76 1 1 1 LS cord-125330-jyppul4o 76 2 ( ( -LRB- cord-125330-jyppul4o 76 3 a a LS cord-125330-jyppul4o 76 4 ) ) -RRB- cord-125330-jyppul4o 76 5 , , , cord-125330-jyppul4o 76 6 ( ( -LRB- cord-125330-jyppul4o 76 7 b b NN cord-125330-jyppul4o 76 8 ) ) -RRB- cord-125330-jyppul4o 76 9 and and CC cord-125330-jyppul4o 76 10 ( ( -LRB- cord-125330-jyppul4o 76 11 c c NN cord-125330-jyppul4o 76 12 ) ) -RRB- cord-125330-jyppul4o 76 13 we -PRON- PRP cord-125330-jyppul4o 76 14 exhibit exhibit VBP cord-125330-jyppul4o 76 15 results result NNS cord-125330-jyppul4o 76 16 for for IN cord-125330-jyppul4o 76 17 fixed fix VBN cord-125330-jyppul4o 76 18 β β NN cord-125330-jyppul4o 76 19 = = SYM cord-125330-jyppul4o 76 20 0.07 0.07 CD cord-125330-jyppul4o 76 21 and and CC cord-125330-jyppul4o 76 22 typical typical JJ cord-125330-jyppul4o 76 23 values value NNS cord-125330-jyppul4o 76 24 of of IN cord-125330-jyppul4o 76 25 γ γ NN cord-125330-jyppul4o 76 26 . . . cord-125330-jyppul4o 77 1 One one PRP cord-125330-jyppul4o 77 2 can can MD cord-125330-jyppul4o 77 3 see see VB cord-125330-jyppul4o 77 4 that that IN cord-125330-jyppul4o 77 5 the the DT cord-125330-jyppul4o 77 6 increase increase NN cord-125330-jyppul4o 77 7 of of IN cord-125330-jyppul4o 77 8 γ γ NN cord-125330-jyppul4o 77 9 causes cause VBZ cord-125330-jyppul4o 77 10 the the DT cord-125330-jyppul4o 77 11 increase increase NN cord-125330-jyppul4o 77 12 of of IN cord-125330-jyppul4o 77 13 s s NN cord-125330-jyppul4o 77 14 and and CC cord-125330-jyppul4o 77 15 the the DT cord-125330-jyppul4o 77 16 decrease decrease NN cord-125330-jyppul4o 77 17 of of IN cord-125330-jyppul4o 77 18 m m NNP cord-125330-jyppul4o 77 19 and and CC cord-125330-jyppul4o 77 20 r. r. NNP cord-125330-jyppul4o 77 21 Remembering Remembering NNP cord-125330-jyppul4o 77 22 that that IN cord-125330-jyppul4o 77 23 γ γ NN cord-125330-jyppul4o 77 24 models model VBZ cord-125330-jyppul4o 77 25 the the DT cord-125330-jyppul4o 77 26 persuasion persuasion NN cord-125330-jyppul4o 77 27 of of IN cord-125330-jyppul4o 77 28 nonconsumers nonconsumers NNP cord-125330-jyppul4o 77 29 S S NNP cord-125330-jyppul4o 77 30 in in IN cord-125330-jyppul4o 77 31 the the DT cord-125330-jyppul4o 77 32 social social JJ cord-125330-jyppul4o 77 33 interactions interaction NNS cord-125330-jyppul4o 77 34 with with IN cord-125330-jyppul4o 77 35 risk risk NN cord-125330-jyppul4o 77 36 drinkers drinker NNS cord-125330-jyppul4o 77 37 R r NN cord-125330-jyppul4o 77 38 , , , cord-125330-jyppul4o 77 39 i.e. i.e. FW cord-125330-jyppul4o 77 40 , , , cord-125330-jyppul4o 77 41 the the DT cord-125330-jyppul4o 77 42 social social JJ cord-125330-jyppul4o 77 43 pressure pressure NN cord-125330-jyppul4o 77 44 of of IN cord-125330-jyppul4o 77 45 individuals individual NNS cord-125330-jyppul4o 77 46 that that WDT cord-125330-jyppul4o 77 47 do do VBP cord-125330-jyppul4o 77 48 not not RB cord-125330-jyppul4o 77 49 consume consume VB cord-125330-jyppul4o 77 50 alcohol alcohol NN cord-125330-jyppul4o 77 51 over over IN cord-125330-jyppul4o 77 52 their -PRON- PRP$ cord-125330-jyppul4o 77 53 contacts contact NNS cord-125330-jyppul4o 77 54 ( ( -LRB- cord-125330-jyppul4o 77 55 friends friend NNS cord-125330-jyppul4o 77 56 , , , cord-125330-jyppul4o 77 57 relatives relative NNS cord-125330-jyppul4o 77 58 , , , cord-125330-jyppul4o 77 59 etc etc FW cord-125330-jyppul4o 77 60 ) ) -RRB- cord-125330-jyppul4o 77 61 that that WDT cord-125330-jyppul4o 77 62 consume consume VBP cord-125330-jyppul4o 77 63 too too RB cord-125330-jyppul4o 77 64 much much JJ cord-125330-jyppul4o 77 65 alcohol alcohol NN cord-125330-jyppul4o 77 66 . . . cord-125330-jyppul4o 78 1 On on IN cord-125330-jyppul4o 78 2 the the DT cord-125330-jyppul4o 78 3 other other JJ cord-125330-jyppul4o 78 4 hand hand NN cord-125330-jyppul4o 78 5 , , , cord-125330-jyppul4o 78 6 in in IN cord-125330-jyppul4o 78 7 Fig Fig NNP cord-125330-jyppul4o 78 8 . . . cord-125330-jyppul4o 78 9 1 1 CD cord-125330-jyppul4o 78 10 ( ( -LRB- cord-125330-jyppul4o 78 11 d d LS cord-125330-jyppul4o 78 12 ) ) -RRB- cord-125330-jyppul4o 78 13 we -PRON- PRP cord-125330-jyppul4o 78 14 considered consider VBD cord-125330-jyppul4o 78 15 γ γ NN cord-125330-jyppul4o 78 16 = = SYM cord-125330-jyppul4o 78 17 0.15 0.15 CD cord-125330-jyppul4o 78 18 and and CC cord-125330-jyppul4o 78 19 β β NN cord-125330-jyppul4o 78 20 = = SYM cord-125330-jyppul4o 78 21 0.07 0.07 CD cord-125330-jyppul4o 78 22 . . . cord-125330-jyppul4o 79 1 For for IN cord-125330-jyppul4o 79 2 this this DT cord-125330-jyppul4o 79 3 case case NN cord-125330-jyppul4o 79 4 , , , cord-125330-jyppul4o 79 5 where where WRB cord-125330-jyppul4o 79 6 we -PRON- PRP cord-125330-jyppul4o 79 7 have have VBP cord-125330-jyppul4o 79 8 β β XX cord-125330-jyppul4o 79 9 > > XX cord-125330-jyppul4o 79 10 γ γ XX cord-125330-jyppul4o 79 11 , , , cord-125330-jyppul4o 79 12 we -PRON- PRP cord-125330-jyppul4o 79 13 see see VBP cord-125330-jyppul4o 79 14 that that IN cord-125330-jyppul4o 79 15 the the DT cord-125330-jyppul4o 79 16 densities density NNS cord-125330-jyppul4o 79 17 evolve evolve VBP cord-125330-jyppul4o 79 18 in in IN cord-125330-jyppul4o 79 19 time time NN cord-125330-jyppul4o 79 20 , , , cord-125330-jyppul4o 79 21 and and CC cord-125330-jyppul4o 79 22 in in IN cord-125330-jyppul4o 79 23 the the DT cord-125330-jyppul4o 79 24 steady steady JJ cord-125330-jyppul4o 79 25 states state NNS cord-125330-jyppul4o 79 26 we -PRON- PRP cord-125330-jyppul4o 79 27 observe observe VBP cord-125330-jyppul4o 79 28 the the DT cord-125330-jyppul4o 79 29 survival survival NN cord-125330-jyppul4o 79 30 of of IN cord-125330-jyppul4o 79 31 only only RB cord-125330-jyppul4o 79 32 the the DT cord-125330-jyppul4o 79 33 risk risk NN cord-125330-jyppul4o 79 34 drinkers drinker NNS cord-125330-jyppul4o 79 35 , , , cord-125330-jyppul4o 79 36 i.e. i.e. FW cord-125330-jyppul4o 79 37 , , , cord-125330-jyppul4o 79 38 for for IN cord-125330-jyppul4o 79 39 t t NN cord-125330-jyppul4o 80 1 → → XX cord-125330-jyppul4o 81 1 ∞ ∞ NNP cord-125330-jyppul4o 81 2 we -PRON- PRP cord-125330-jyppul4o 81 3 have have VBP cord-125330-jyppul4o 81 4 s s PRP cord-125330-jyppul4o 82 1 = = SYM cord-125330-jyppul4o 82 2 m m NN cord-125330-jyppul4o 82 3 = = SYM cord-125330-jyppul4o 82 4 0 0 CD cord-125330-jyppul4o 82 5 and and CC cord-125330-jyppul4o 82 6 r r NN cord-125330-jyppul4o 82 7 = = SYM cord-125330-jyppul4o 82 8 1 1 CD cord-125330-jyppul4o 82 9 . . . cord-125330-jyppul4o 83 1 This this DT cord-125330-jyppul4o 83 2 last last JJ cord-125330-jyppul4o 83 3 result result NN cord-125330-jyppul4o 83 4 will will MD cord-125330-jyppul4o 83 5 be be VB cord-125330-jyppul4o 83 6 discussed discuss VBN cord-125330-jyppul4o 83 7 in in IN cord-125330-jyppul4o 83 8 more more JJR cord-125330-jyppul4o 83 9 details detail NNS cord-125330-jyppul4o 83 10 analytically analytically RB cord-125330-jyppul4o 83 11 in in IN cord-125330-jyppul4o 83 12 the the DT cord-125330-jyppul4o 83 13 following following NN cord-125330-jyppul4o 83 14 . . . cord-125330-jyppul4o 84 1 As as IN cord-125330-jyppul4o 84 2 we -PRON- PRP cord-125330-jyppul4o 84 3 observed observe VBD cord-125330-jyppul4o 84 4 in in IN cord-125330-jyppul4o 84 5 Fig Fig NNP cord-125330-jyppul4o 84 6 . . . cord-125330-jyppul4o 85 1 1 1 LS cord-125330-jyppul4o 85 2 , , , cord-125330-jyppul4o 85 3 the the DT cord-125330-jyppul4o 85 4 densities density NNS cord-125330-jyppul4o 85 5 s(t s(t NNP cord-125330-jyppul4o 85 6 ) ) -RRB- cord-125330-jyppul4o 85 7 , , , cord-125330-jyppul4o 85 8 m(t m(t NNP cord-125330-jyppul4o 85 9 ) ) -RRB- cord-125330-jyppul4o 85 10 and and CC cord-125330-jyppul4o 85 11 r(t r(t NNP cord-125330-jyppul4o 85 12 ) ) -RRB- cord-125330-jyppul4o 85 13 evolve evolve VB cord-125330-jyppul4o 85 14 in in IN cord-125330-jyppul4o 85 15 time time NN cord-125330-jyppul4o 85 16 , , , cord-125330-jyppul4o 85 17 and and CC cord-125330-jyppul4o 85 18 after after IN cord-125330-jyppul4o 85 19 some some DT cord-125330-jyppul4o 85 20 time time NN cord-125330-jyppul4o 85 21 they -PRON- PRP cord-125330-jyppul4o 85 22 stabilize stabilize VBP cord-125330-jyppul4o 85 23 . . . cord-125330-jyppul4o 86 1 In in IN cord-125330-jyppul4o 86 2 such such JJ cord-125330-jyppul4o 86 3 steady steady JJ cord-125330-jyppul4o 86 4 states state NNS cord-125330-jyppul4o 86 5 , , , cord-125330-jyppul4o 86 6 the the DT cord-125330-jyppul4o 86 7 time time NN cord-125330-jyppul4o 86 8 derivatives derivative NNS cord-125330-jyppul4o 86 9 of of IN cord-125330-jyppul4o 86 10 Eqs Eqs NNP cord-125330-jyppul4o 86 11 . . . cord-125330-jyppul4o 87 1 ( ( -LRB- cord-125330-jyppul4o 87 2 1 1 LS cord-125330-jyppul4o 87 3 ) ) -RRB- cord-125330-jyppul4o 87 4 -(3 -(3 NFP cord-125330-jyppul4o 87 5 ) ) -RRB- cord-125330-jyppul4o 87 6 are be VBP cord-125330-jyppul4o 87 7 zero zero CD cord-125330-jyppul4o 87 8 . . . cord-125330-jyppul4o 88 1 In in IN cord-125330-jyppul4o 88 2 the the DT cord-125330-jyppul4o 88 3 t t NN cord-125330-jyppul4o 88 4 → → WDT cord-125330-jyppul4o 88 5 ∞ ∞ NNP cord-125330-jyppul4o 88 6 limit limit NN cord-125330-jyppul4o 88 7 , , , cord-125330-jyppul4o 88 8 Eq Eq NNP cord-125330-jyppul4o 88 9 . . . cord-125330-jyppul4o 89 1 ( ( -LRB- cord-125330-jyppul4o 89 2 1 1 LS cord-125330-jyppul4o 89 3 ) ) -RRB- cord-125330-jyppul4o 89 4 gives give VBZ cord-125330-jyppul4o 89 5 us -PRON- PRP cord-125330-jyppul4o 89 6 ( ( -LRB- cord-125330-jyppul4o 89 7 −β −β NNP cord-125330-jyppul4o 89 8 m m NNP cord-125330-jyppul4o 89 9 − − NNP cord-125330-jyppul4o 90 1 β β NN cord-125330-jyppul4o 91 1 r r LS cord-125330-jyppul4o 91 2 + + CC cord-125330-jyppul4o 91 3 γ γ NN cord-125330-jyppul4o 91 4 r r NN cord-125330-jyppul4o 91 5 ) ) -RRB- cord-125330-jyppul4o 91 6 s s NN cord-125330-jyppul4o 91 7 = = SYM cord-125330-jyppul4o 91 8 0 0 CD cord-125330-jyppul4o 91 9 , , , cord-125330-jyppul4o 92 1 where where WRB cord-125330-jyppul4o 92 2 we -PRON- PRP cord-125330-jyppul4o 92 3 denoted denote VBD cord-125330-jyppul4o 92 4 the the DT cord-125330-jyppul4o 92 5 stationary stationary JJ cord-125330-jyppul4o 92 6 values value NNS cord-125330-jyppul4o 92 7 as as IN cord-125330-jyppul4o 92 8 s s NN cord-125330-jyppul4o 92 9 = = SYM cord-125330-jyppul4o 92 10 s(t s(t NNP cord-125330-jyppul4o 93 1 → → IN cord-125330-jyppul4o 93 2 ∞ ∞ NNP cord-125330-jyppul4o 93 3 ) ) -RRB- cord-125330-jyppul4o 93 4 , , , cord-125330-jyppul4o 93 5 m m NNP cord-125330-jyppul4o 93 6 = = SYM cord-125330-jyppul4o 93 7 m(t m(t NNP cord-125330-jyppul4o 93 8 → → NNP cord-125330-jyppul4o 93 9 ∞ ∞ NNP cord-125330-jyppul4o 93 10 ) ) -RRB- cord-125330-jyppul4o 93 11 and and CC cord-125330-jyppul4o 93 12 r r NN cord-125330-jyppul4o 93 13 = = NN cord-125330-jyppul4o 93 14 r(t r(t NN cord-125330-jyppul4o 93 15 → → IN cord-125330-jyppul4o 93 16 ∞ ∞ NNP cord-125330-jyppul4o 93 17 ) ) -RRB- cord-125330-jyppul4o 93 18 . . . cord-125330-jyppul4o 94 1 This this DT cord-125330-jyppul4o 94 2 last last JJ cord-125330-jyppul4o 94 3 equation equation NN cord-125330-jyppul4o 94 4 has have VBZ cord-125330-jyppul4o 94 5 two two CD cord-125330-jyppul4o 94 6 solutions solution NNS cord-125330-jyppul4o 94 7 , , , cord-125330-jyppul4o 94 8 one one CD cord-125330-jyppul4o 94 9 of of IN cord-125330-jyppul4o 94 10 them -PRON- PRP cord-125330-jyppul4o 94 11 is be VBZ cord-125330-jyppul4o 94 12 s s NN cord-125330-jyppul4o 94 13 = = SYM cord-125330-jyppul4o 94 14 0 0 CD cord-125330-jyppul4o 95 1 and and CC cord-125330-jyppul4o 95 2 from from IN cord-125330-jyppul4o 95 3 the the DT cord-125330-jyppul4o 95 4 other other JJ cord-125330-jyppul4o 95 5 solution solution NN cord-125330-jyppul4o 95 6 we -PRON- PRP cord-125330-jyppul4o 95 7 can can MD cord-125330-jyppul4o 95 8 obtain obtain VB cord-125330-jyppul4o 95 9 a a DT cord-125330-jyppul4o 95 10 relation relation NN cord-125330-jyppul4o 95 11 between between IN cord-125330-jyppul4o 95 12 r r NN cord-125330-jyppul4o 95 13 and and CC cord-125330-jyppul4o 95 14 m m NN cord-125330-jyppul4o 95 15 , , , cord-125330-jyppul4o 96 1 Considering consider VBG cord-125330-jyppul4o 96 2 now now RB cord-125330-jyppul4o 96 3 the the DT cord-125330-jyppul4o 96 4 limit limit NN cord-125330-jyppul4o 96 5 t t NN cord-125330-jyppul4o 97 1 → → IN cord-125330-jyppul4o 97 2 ∞ ∞ NNP cord-125330-jyppul4o 97 3 in in IN cord-125330-jyppul4o 97 4 Eq Eq NNP cord-125330-jyppul4o 97 5 . . . cord-125330-jyppul4o 98 1 ( ( -LRB- cord-125330-jyppul4o 98 2 2 2 LS cord-125330-jyppul4o 98 3 ) ) -RRB- cord-125330-jyppul4o 98 4 , , , cord-125330-jyppul4o 98 5 one one NN cord-125330-jyppul4o 98 6 obtains obtain VBZ cord-125330-jyppul4o 98 7 β β NN cord-125330-jyppul4o 98 8 s s NN cord-125330-jyppul4o 98 9 r r NN cord-125330-jyppul4o 99 1 = = NFP cord-125330-jyppul4o 99 2 ( ( -LRB- cord-125330-jyppul4o 99 3 α α NN cord-125330-jyppul4o 99 4 + + CC cord-125330-jyppul4o 99 5 δ δ NN cord-125330-jyppul4o 100 1 r r NNP cord-125330-jyppul4o 100 2 − − NNP cord-125330-jyppul4o 100 3 β β NN cord-125330-jyppul4o 100 4 s s NN cord-125330-jyppul4o 100 5 ) ) -RRB- cord-125330-jyppul4o 100 6 m m NNP cord-125330-jyppul4o 100 7 . . . cord-125330-jyppul4o 101 1 If if IN cord-125330-jyppul4o 101 2 the the DT cord-125330-jyppul4o 101 3 obtained obtain VBN cord-125330-jyppul4o 101 4 solution solution NN cord-125330-jyppul4o 101 5 s s NN cord-125330-jyppul4o 101 6 = = SYM cord-125330-jyppul4o 101 7 0 0 NFP cord-125330-jyppul4o 101 8 is be VBZ cord-125330-jyppul4o 101 9 valid valid JJ cord-125330-jyppul4o 101 10 , , , cord-125330-jyppul4o 101 11 this this DT cord-125330-jyppul4o 101 12 relation relation NN cord-125330-jyppul4o 101 13 gives give VBZ cord-125330-jyppul4o 101 14 us -PRON- PRP cord-125330-jyppul4o 101 15 m m NN cord-125330-jyppul4o 101 16 = = SYM cord-125330-jyppul4o 101 17 0 0 NFP cord-125330-jyppul4o 101 18 and and CC cord-125330-jyppul4o 101 19 consequently consequently RB cord-125330-jyppul4o 101 20 from from IN cord-125330-jyppul4o 101 21 ( ( -LRB- cord-125330-jyppul4o 101 22 4 4 LS cord-125330-jyppul4o 101 23 ) ) -RRB- cord-125330-jyppul4o 101 24 we -PRON- PRP cord-125330-jyppul4o 101 25 have have VBP cord-125330-jyppul4o 101 26 r r VBN cord-125330-jyppul4o 101 27 = = SYM cord-125330-jyppul4o 101 28 1 1 CD cord-125330-jyppul4o 101 29 . . . cord-125330-jyppul4o 102 1 This this DT cord-125330-jyppul4o 102 2 solution solution NN cord-125330-jyppul4o 102 3 represents represent VBZ cord-125330-jyppul4o 102 4 an an DT cord-125330-jyppul4o 102 5 absorbing absorb VBG cord-125330-jyppul4o 102 6 state state NN cord-125330-jyppul4o 102 7 [ [ -LRB- cord-125330-jyppul4o 102 8 28 28 CD cord-125330-jyppul4o 102 9 , , , cord-125330-jyppul4o 102 10 29 29 CD cord-125330-jyppul4o 102 11 ] ] -RRB- cord-125330-jyppul4o 102 12 , , , cord-125330-jyppul4o 102 13 since since IN cord-125330-jyppul4o 102 14 the the DT cord-125330-jyppul4o 102 15 dynamics dynamic NNS cord-125330-jyppul4o 102 16 becomes become VBZ cord-125330-jyppul4o 102 17 frozen frozen JJ cord-125330-jyppul4o 102 18 due due IN cord-125330-jyppul4o 102 19 to to IN cord-125330-jyppul4o 102 20 the the DT cord-125330-jyppul4o 102 21 absence absence NN cord-125330-jyppul4o 102 22 of of IN cord-125330-jyppul4o 102 23 S S NNP cord-125330-jyppul4o 102 24 and and CC cord-125330-jyppul4o 102 25 M M NNP cord-125330-jyppul4o 102 26 agents agent NNS cord-125330-jyppul4o 102 27 . . . cord-125330-jyppul4o 103 1 We -PRON- PRP cord-125330-jyppul4o 103 2 will will MD cord-125330-jyppul4o 103 3 discuss discuss VB cord-125330-jyppul4o 103 4 this this DT cord-125330-jyppul4o 103 5 solution solution NN cord-125330-jyppul4o 103 6 in in IN cord-125330-jyppul4o 103 7 more more JJR cord-125330-jyppul4o 103 8 details detail NNS cord-125330-jyppul4o 103 9 in in IN cord-125330-jyppul4o 103 10 the the DT cord-125330-jyppul4o 103 11 following following NN cord-125330-jyppul4o 103 12 . . . cord-125330-jyppul4o 104 1 Considering consider VBG cord-125330-jyppul4o 104 2 now now RB cord-125330-jyppul4o 104 3 the the DT cord-125330-jyppul4o 104 4 relation relation NN cord-125330-jyppul4o 104 5 ( ( -LRB- cord-125330-jyppul4o 104 6 7 7 CD cord-125330-jyppul4o 104 7 ) ) -RRB- cord-125330-jyppul4o 104 8 and and CC cord-125330-jyppul4o 104 9 the the DT cord-125330-jyppul4o 104 10 normalization normalization NN cord-125330-jyppul4o 104 11 condition condition NN cord-125330-jyppul4o 104 12 ( ( -LRB- cord-125330-jyppul4o 104 13 4 4 CD cord-125330-jyppul4o 104 14 ) ) -RRB- cord-125330-jyppul4o 104 15 , , , cord-125330-jyppul4o 104 16 one one PRP cord-125330-jyppul4o 104 17 can can MD cord-125330-jyppul4o 104 18 obtain obtain VB cord-125330-jyppul4o 104 19 Substituting substitute VBG cord-125330-jyppul4o 104 20 ( ( -LRB- cord-125330-jyppul4o 104 21 9 9 CD cord-125330-jyppul4o 104 22 ) ) -RRB- cord-125330-jyppul4o 104 23 and and CC cord-125330-jyppul4o 104 24 ( ( -LRB- cord-125330-jyppul4o 104 25 7 7 LS cord-125330-jyppul4o 104 26 ) ) -RRB- cord-125330-jyppul4o 104 27 in in IN cord-125330-jyppul4o 104 28 ( ( -LRB- cord-125330-jyppul4o 104 29 8) 8) NNP cord-125330-jyppul4o 104 30 _SP cord-125330-jyppul4o 105 1 Considering consider VBG cord-125330-jyppul4o 105 2 this this DT cord-125330-jyppul4o 105 3 result result NN cord-125330-jyppul4o 105 4 ( ( -LRB- cord-125330-jyppul4o 105 5 10 10 CD cord-125330-jyppul4o 105 6 ) ) -RRB- cord-125330-jyppul4o 105 7 in in IN cord-125330-jyppul4o 105 8 Eqs Eqs NNP cord-125330-jyppul4o 105 9 . . . cord-125330-jyppul4o 106 1 ( ( -LRB- cord-125330-jyppul4o 106 2 9 9 CD cord-125330-jyppul4o 106 3 ) ) -RRB- cord-125330-jyppul4o 106 4 and and CC cord-125330-jyppul4o 106 5 ( ( -LRB- cord-125330-jyppul4o 106 6 7 7 LS cord-125330-jyppul4o 106 7 ) ) -RRB- cord-125330-jyppul4o 106 8 we -PRON- PRP cord-125330-jyppul4o 106 9 obtain obtain VBP cord-125330-jyppul4o 106 10 , , , cord-125330-jyppul4o 106 11 respectively respectively RB cord-125330-jyppul4o 106 12 The the DT cord-125330-jyppul4o 106 13 obtained obtain VBN cord-125330-jyppul4o 106 14 eqs eqs NNP cord-125330-jyppul4o 106 15 . . . cord-125330-jyppul4o 107 1 ( ( -LRB- cord-125330-jyppul4o 107 2 10 10 CD cord-125330-jyppul4o 107 3 ) ) -RRB- cord-125330-jyppul4o 107 4 -(12 -(12 . cord-125330-jyppul4o 107 5 ) ) -RRB- cord-125330-jyppul4o 107 6 represent represent VBP cord-125330-jyppul4o 107 7 a a DT cord-125330-jyppul4o 107 8 second second JJ cord-125330-jyppul4o 107 9 possible possible JJ cord-125330-jyppul4o 107 10 steady steady JJ cord-125330-jyppul4o 107 11 state state NN cord-125330-jyppul4o 107 12 solution solution NN cord-125330-jyppul4o 107 13 of of IN cord-125330-jyppul4o 107 14 the the DT cord-125330-jyppul4o 107 15 model model NN cord-125330-jyppul4o 107 16 , , , cord-125330-jyppul4o 107 17 that that RB cord-125330-jyppul4o 107 18 is be VBZ cord-125330-jyppul4o 107 19 a a DT cord-125330-jyppul4o 107 20 realistic realistic JJ cord-125330-jyppul4o 107 21 solution solution NN cord-125330-jyppul4o 107 22 since since IN cord-125330-jyppul4o 107 23 the the DT cord-125330-jyppul4o 107 24 three three CD cord-125330-jyppul4o 107 25 fractions fraction NNS cord-125330-jyppul4o 107 26 s s NNP cord-125330-jyppul4o 107 27 , , , cord-125330-jyppul4o 107 28 m m NNP cord-125330-jyppul4o 107 29 and and CC cord-125330-jyppul4o 107 30 r r MD cord-125330-jyppul4o 107 31 coexist coexist VB cord-125330-jyppul4o 107 32 in in IN cord-125330-jyppul4o 107 33 the the DT cord-125330-jyppul4o 107 34 population population NN cord-125330-jyppul4o 107 35 . . . cord-125330-jyppul4o 108 1 We -PRON- PRP cord-125330-jyppul4o 108 2 can can MD cord-125330-jyppul4o 108 3 look look VB cord-125330-jyppul4o 108 4 to to IN cord-125330-jyppul4o 108 5 Eq Eq NNP cord-125330-jyppul4o 108 6 . . . cord-125330-jyppul4o 109 1 ( ( -LRB- cord-125330-jyppul4o 109 2 10 10 CD cord-125330-jyppul4o 109 3 ) ) -RRB- cord-125330-jyppul4o 109 4 in in IN cord-125330-jyppul4o 109 5 more more JJR cord-125330-jyppul4o 109 6 details detail NNS cord-125330-jyppul4o 109 7 . . . cord-125330-jyppul4o 110 1 It -PRON- PRP cord-125330-jyppul4o 110 2 can can MD cord-125330-jyppul4o 110 3 be be VB cord-125330-jyppul4o 110 4 rewritten rewrite VBN cord-125330-jyppul4o 110 5 in in IN cord-125330-jyppul4o 110 6 the the DT cord-125330-jyppul4o 110 7 critical critical JJ cord-125330-jyppul4o 110 8 phenomena phenomena NN cord-125330-jyppul4o 110 9 perspective perspective NN cord-125330-jyppul4o 110 10 as as IN cord-125330-jyppul4o 110 11 [ [ -LRB- cord-125330-jyppul4o 110 12 30 30 CD cord-125330-jyppul4o 110 13 , , , cord-125330-jyppul4o 110 14 31 31 CD cord-125330-jyppul4o 110 15 ] ] -RRB- cord-125330-jyppul4o 110 16 _SP cord-125330-jyppul4o 111 1 where where WRB cord-125330-jyppul4o 111 2 the the DT cord-125330-jyppul4o 111 3 critical critical JJ cord-125330-jyppul4o 111 4 points point NNS cord-125330-jyppul4o 111 5 are be VBP cord-125330-jyppul4o 111 6 given give VBN cord-125330-jyppul4o 111 7 by by IN cord-125330-jyppul4o 111 8 The the DT cord-125330-jyppul4o 111 9 competition competition NN cord-125330-jyppul4o 111 10 among among IN cord-125330-jyppul4o 111 11 the the DT cord-125330-jyppul4o 111 12 contagions contagion NNS cord-125330-jyppul4o 111 13 cause cause VBP cord-125330-jyppul4o 111 14 the the DT cord-125330-jyppul4o 111 15 occurrence occurrence NN cord-125330-jyppul4o 111 16 of of IN cord-125330-jyppul4o 111 17 such such JJ cord-125330-jyppul4o 111 18 three three CD cord-125330-jyppul4o 111 19 regions region NNS cord-125330-jyppul4o 111 20 in in IN cord-125330-jyppul4o 111 21 the the DT cord-125330-jyppul4o 111 22 model model NN cord-125330-jyppul4o 111 23 . . . cord-125330-jyppul4o 112 1 From from IN cord-125330-jyppul4o 112 2 one one CD cord-125330-jyppul4o 112 3 side side NN cord-125330-jyppul4o 112 4 we -PRON- PRP cord-125330-jyppul4o 112 5 have have VBP cord-125330-jyppul4o 112 6 drinkers drinker NNS cord-125330-jyppul4o 112 7 ( ( -LRB- cord-125330-jyppul4o 112 8 moderated moderate VBN cord-125330-jyppul4o 112 9 and and CC cord-125330-jyppul4o 112 10 risk risk NN cord-125330-jyppul4o 112 11 ) ) -RRB- cord-125330-jyppul4o 112 12 influencing influence VBG cord-125330-jyppul4o 112 13 nonconsumers nonconsumer NNS cord-125330-jyppul4o 112 14 to to TO cord-125330-jyppul4o 112 15 consume consume VB cord-125330-jyppul4o 112 16 alcohol alcohol NN cord-125330-jyppul4o 112 17 , , , cord-125330-jyppul4o 112 18 with with IN cord-125330-jyppul4o 112 19 probability probability NN cord-125330-jyppul4o 112 20 β β NN cord-125330-jyppul4o 112 21 . . . cord-125330-jyppul4o 113 1 On on IN cord-125330-jyppul4o 113 2 the the DT cord-125330-jyppul4o 113 3 other other JJ cord-125330-jyppul4o 113 4 hand hand NN cord-125330-jyppul4o 113 5 , , , cord-125330-jyppul4o 113 6 we -PRON- PRP cord-125330-jyppul4o 113 7 have have VBP cord-125330-jyppul4o 113 8 the the DT cord-125330-jyppul4o 113 9 social social JJ cord-125330-jyppul4o 113 10 pressure pressure NN cord-125330-jyppul4o 113 11 of of IN cord-125330-jyppul4o 113 12 nonconsumers nonconsumer NNS cord-125330-jyppul4o 113 13 over over IN cord-125330-jyppul4o 113 14 risk risk NN cord-125330-jyppul4o 113 15 drinkers drinker NNS cord-125330-jyppul4o 113 16 , , , cord-125330-jyppul4o 113 17 with with IN cord-125330-jyppul4o 113 18 probability probability NN cord-125330-jyppul4o 113 19 γ γ NN cord-125330-jyppul4o 113 20 , , , cord-125330-jyppul4o 113 21 in in IN cord-125330-jyppul4o 113 22 order order NN cord-125330-jyppul4o 113 23 to to TO cord-125330-jyppul4o 113 24 make make VB cord-125330-jyppul4o 113 25 such such JJ cord-125330-jyppul4o 113 26 alcoholics alcoholic NNS cord-125330-jyppul4o 113 27 to to TO cord-125330-jyppul4o 113 28 begin begin VB cord-125330-jyppul4o 113 29 treatment treatment NN cord-125330-jyppul4o 113 30 and and CC cord-125330-jyppul4o 113 31 stop stop VB cord-125330-jyppul4o 113 32 drinking drink VBG cord-125330-jyppul4o 113 33 . . . cord-125330-jyppul4o 114 1 Finally finally RB cord-125330-jyppul4o 114 2 , , , cord-125330-jyppul4o 114 3 it -PRON- PRP cord-125330-jyppul4o 114 4 is be VBZ cord-125330-jyppul4o 114 5 important important JJ cord-125330-jyppul4o 114 6 to to TO cord-125330-jyppul4o 114 7 mention mention VB cord-125330-jyppul4o 114 8 the the DT cord-125330-jyppul4o 114 9 parameter parameter NN cord-125330-jyppul4o 114 10 α α NN cord-125330-jyppul4o 114 11 , , , cord-125330-jyppul4o 114 12 that that WDT cord-125330-jyppul4o 114 13 drives drive VBZ cord-125330-jyppul4o 114 14 the the DT cord-125330-jyppul4o 114 15 only only JJ cord-125330-jyppul4o 114 16 transition transition NN cord-125330-jyppul4o 114 17 of of IN cord-125330-jyppul4o 114 18 the the DT cord-125330-jyppul4o 114 19 model model NN cord-125330-jyppul4o 114 20 that that WDT cord-125330-jyppul4o 114 21 does do VBZ cord-125330-jyppul4o 114 22 not not RB cord-125330-jyppul4o 114 23 depend depend VB cord-125330-jyppul4o 114 24 on on IN cord-125330-jyppul4o 114 25 a a DT cord-125330-jyppul4o 114 26 direct direct JJ cord-125330-jyppul4o 114 27 social social JJ cord-125330-jyppul4o 114 28 interaction interaction NN cord-125330-jyppul4o 114 29 . . . cord-125330-jyppul4o 115 1 That that DT cord-125330-jyppul4o 115 2 parameter parameter NN cord-125330-jyppul4o 115 3 models model VBZ cord-125330-jyppul4o 115 4 the the DT cord-125330-jyppul4o 115 5 spontaneous spontaneous JJ cord-125330-jyppul4o 115 6 increase increase NN cord-125330-jyppul4o 115 7 of of IN cord-125330-jyppul4o 115 8 alcohol alcohol NN cord-125330-jyppul4o 115 9 consumption consumption NN cord-125330-jyppul4o 115 10 , , , cord-125330-jyppul4o 115 11 and and CC cord-125330-jyppul4o 115 12 it -PRON- PRP cord-125330-jyppul4o 115 13 is be VBZ cord-125330-jyppul4o 115 14 also also RB cord-125330-jyppul4o 115 15 responsible responsible JJ cord-125330-jyppul4o 115 16 for for IN cord-125330-jyppul4o 115 17 the the DT cord-125330-jyppul4o 115 18 first first JJ cord-125330-jyppul4o 115 19 phase phase NN cord-125330-jyppul4o 115 20 transition transition NN cord-125330-jyppul4o 115 21 ( ( -LRB- cord-125330-jyppul4o 115 22 together together RB cord-125330-jyppul4o 115 23 with with IN cord-125330-jyppul4o 115 24 γ γ NNP cord-125330-jyppul4o 115 25 ) ) -RRB- cord-125330-jyppul4o 115 26 , , , cord-125330-jyppul4o 115 27 since since IN cord-125330-jyppul4o 115 28 we -PRON- PRP cord-125330-jyppul4o 115 29 have have VBP cord-125330-jyppul4o 115 30 β β XX cord-125330-jyppul4o 116 1 ( ( -LRB- cord-125330-jyppul4o 116 2 1 1 CD cord-125330-jyppul4o 116 3 ) ) -RRB- cord-125330-jyppul4o 116 4 c c NN cord-125330-jyppul4o 116 5 = = SYM cord-125330-jyppul4o 116 6 0 0 NFP cord-125330-jyppul4o 116 7 for for IN cord-125330-jyppul4o 116 8 α α NN cord-125330-jyppul4o 116 9 = = SYM cord-125330-jyppul4o 116 10 0 0 CD cord-125330-jyppul4o 116 11 . . . cord-125330-jyppul4o 117 1 It -PRON- PRP cord-125330-jyppul4o 117 2 means mean VBZ cord-125330-jyppul4o 117 3 that that IN cord-125330-jyppul4o 117 4 the the DT cord-125330-jyppul4o 117 5 alcohol alcohol NN cord-125330-jyppul4o 117 6 consumption consumption NN cord-125330-jyppul4o 117 7 ( ( -LRB- cord-125330-jyppul4o 117 8 the the DT cord-125330-jyppul4o 117 9 " " `` cord-125330-jyppul4o 117 10 disease disease NN cord-125330-jyppul4o 117 11 " " '' cord-125330-jyppul4o 117 12 ) ) -RRB- cord-125330-jyppul4o 117 13 can can MD cord-125330-jyppul4o 117 14 not not RB cord-125330-jyppul4o 117 15 be be VB cord-125330-jyppul4o 117 16 eliminated eliminate VBN cord-125330-jyppul4o 117 17 of of IN cord-125330-jyppul4o 117 18 the the DT cord-125330-jyppul4o 117 19 population population NN cord-125330-jyppul4o 117 20 after after IN cord-125330-jyppul4o 117 21 a a DT cord-125330-jyppul4o 117 22 long long JJ cord-125330-jyppul4o 117 23 time time NN cord-125330-jyppul4o 117 24 if if IN cord-125330-jyppul4o 117 25 there there EX cord-125330-jyppul4o 117 26 is be VBZ cord-125330-jyppul4o 117 27 a a DT cord-125330-jyppul4o 117 28 spontaneous spontaneous JJ cord-125330-jyppul4o 117 29 increase increase NN cord-125330-jyppul4o 117 30 of of IN cord-125330-jyppul4o 117 31 alcohol alcohol NN cord-125330-jyppul4o 117 32 consumption consumption NN cord-125330-jyppul4o 117 33 from from IN cord-125330-jyppul4o 117 34 individuals individual NNS cord-125330-jyppul4o 117 35 that that WDT cord-125330-jyppul4o 117 36 drink drink VBP cord-125330-jyppul4o 117 37 moderately moderately RB cord-125330-jyppul4o 117 38 , , , cord-125330-jyppul4o 117 39 which which WDT cord-125330-jyppul4o 117 40 is be VBZ cord-125330-jyppul4o 117 41 a a DT cord-125330-jyppul4o 117 42 realistic realistic JJ cord-125330-jyppul4o 117 43 feature feature NN cord-125330-jyppul4o 117 44 of of IN cord-125330-jyppul4o 117 45 the the DT cord-125330-jyppul4o 117 46 model model NN cord-125330-jyppul4o 117 47 . . . cord-125330-jyppul4o 118 1 For for IN cord-125330-jyppul4o 118 2 clarity clarity NN cord-125330-jyppul4o 118 3 , , , cord-125330-jyppul4o 118 4 we -PRON- PRP cord-125330-jyppul4o 118 5 exhibit exhibit VBP cord-125330-jyppul4o 118 6 in in IN cord-125330-jyppul4o 118 7 Fig Fig NNP cord-125330-jyppul4o 118 8 . . . cord-125330-jyppul4o 119 1 3 3 LS cord-125330-jyppul4o 120 1 the the DT cord-125330-jyppul4o 120 2 phase phase NN cord-125330-jyppul4o 120 3 diagram diagram NN cord-125330-jyppul4o 120 4 of of IN cord-125330-jyppul4o 120 5 the the DT cord-125330-jyppul4o 120 6 model model NN cord-125330-jyppul4o 120 7 in in IN cord-125330-jyppul4o 120 8 the the DT cord-125330-jyppul4o 120 9 plane plane NN cord-125330-jyppul4o 120 10 β β NN cord-125330-jyppul4o 120 11 versus versus IN cord-125330-jyppul4o 120 12 γ γ NNP cord-125330-jyppul4o 120 13 , , , cord-125330-jyppul4o 120 14 separating separate VBG cord-125330-jyppul4o 120 15 the the DT cord-125330-jyppul4o 120 16 three three CD cord-125330-jyppul4o 120 17 above above RB cord-125330-jyppul4o 120 18 discussed discuss VBN cord-125330-jyppul4o 120 19 regions region NNS cord-125330-jyppul4o 120 20 . . . cord-125330-jyppul4o 121 1 In in IN cord-125330-jyppul4o 121 2 Fig Fig NNP cord-125330-jyppul4o 121 3 . . . cord-125330-jyppul4o 122 1 3 3 LS cord-125330-jyppul4o 122 2 , , , cord-125330-jyppul4o 122 3 the the DT cord-125330-jyppul4o 122 4 absorbing absorbing JJ cord-125330-jyppul4o 122 5 phase phase NN cord-125330-jyppul4o 122 6 with with IN cord-125330-jyppul4o 122 7 s s NN cord-125330-jyppul4o 123 1 = = SYM cord-125330-jyppul4o 123 2 1 1 CD cord-125330-jyppul4o 123 3 and and CC cord-125330-jyppul4o 123 4 m m NN cord-125330-jyppul4o 124 1 = = NFP cord-125330-jyppul4o 124 2 r r NN cord-125330-jyppul4o 124 3 = = SYM cord-125330-jyppul4o 124 4 0 0 NN cord-125330-jyppul4o 124 5 is be VBZ cord-125330-jyppul4o 124 6 located locate VBN cord-125330-jyppul4o 124 7 in in IN cord-125330-jyppul4o 124 8 region region NN cord-125330-jyppul4o 125 1 I -PRON- PRP cord-125330-jyppul4o 125 2 for for IN cord-125330-jyppul4o 125 3 β β NN cord-125330-jyppul4o 126 1 < < XX cord-125330-jyppul4o 126 2 β β NNP cord-125330-jyppul4o 126 3 ( ( -LRB- cord-125330-jyppul4o 126 4 1 1 CD cord-125330-jyppul4o 126 5 ) ) -RRB- cord-125330-jyppul4o 126 6 c c NN cord-125330-jyppul4o 126 7 , , , cord-125330-jyppul4o 126 8 the the DT cord-125330-jyppul4o 126 9 coexistence coexistence NN cord-125330-jyppul4o 126 10 phase phase NN cord-125330-jyppul4o 126 11 is be VBZ cord-125330-jyppul4o 126 12 denoted denote VBN cord-125330-jyppul4o 126 13 by by IN cord-125330-jyppul4o 126 14 II II NNP cord-125330-jyppul4o 126 15 for for IN cord-125330-jyppul4o 126 16 β β NN cord-125330-jyppul4o 126 17 ( ( -LRB- cord-125330-jyppul4o 126 18 where where WRB cord-125330-jyppul4o 126 19 the the DT cord-125330-jyppul4o 126 20 three three CD cord-125330-jyppul4o 126 21 densities density NNS cord-125330-jyppul4o 126 22 coexist coexist VBP cord-125330-jyppul4o 126 23 ) ) -RRB- cord-125330-jyppul4o 126 24 and and CC cord-125330-jyppul4o 126 25 the the DT cord-125330-jyppul4o 126 26 other other JJ cord-125330-jyppul4o 126 27 absorbing absorb VBG cord-125330-jyppul4o 126 28 phase phase NN cord-125330-jyppul4o 126 29 where where WRB cord-125330-jyppul4o 126 30 s s NN cord-125330-jyppul4o 126 31 = = SYM cord-125330-jyppul4o 126 32 m m NN cord-125330-jyppul4o 126 33 = = SYM cord-125330-jyppul4o 126 34 0 0 CD cord-125330-jyppul4o 126 35 and and CC cord-125330-jyppul4o 126 36 r r NN cord-125330-jyppul4o 126 37 = = SYM cord-125330-jyppul4o 126 38 1 1 CD cord-125330-jyppul4o 126 39 is be VBZ cord-125330-jyppul4o 126 40 located locate VBN cord-125330-jyppul4o 126 41 in in IN cord-125330-jyppul4o 126 42 region region NN cord-125330-jyppul4o 126 43 III III NNP cord-125330-jyppul4o 126 44 . . . cord-125330-jyppul4o 127 1 From from IN cord-125330-jyppul4o 127 2 this this DT cord-125330-jyppul4o 127 3 figure figure NN cord-125330-jyppul4o 127 4 we -PRON- PRP cord-125330-jyppul4o 127 5 see see VBP cord-125330-jyppul4o 127 6 the the DT cord-125330-jyppul4o 127 7 mentioned mention VBN cord-125330-jyppul4o 127 8 competition competition NN cord-125330-jyppul4o 127 9 among among IN cord-125330-jyppul4o 127 10 the the DT cord-125330-jyppul4o 127 11 contagions contagion NNS cord-125330-jyppul4o 127 12 . . . cord-125330-jyppul4o 128 1 Indeed indeed RB cord-125330-jyppul4o 128 2 , , , cord-125330-jyppul4o 128 3 if if IN cord-125330-jyppul4o 128 4 β β NN cord-125330-jyppul4o 128 5 is be VBZ cord-125330-jyppul4o 128 6 sufficiently sufficiently RB cord-125330-jyppul4o 128 7 high high JJ cord-125330-jyppul4o 128 8 , , , cord-125330-jyppul4o 128 9 many many JJ cord-125330-jyppul4o 128 10 nonconsumers nonconsumer NNS cord-125330-jyppul4o 128 11 become become VBP cord-125330-jyppul4o 128 12 moderated moderate VBN cord-125330-jyppul4o 128 13 drinkers drinker NNS cord-125330-jyppul4o 128 14 . . . cord-125330-jyppul4o 129 1 Such such JJ cord-125330-jyppul4o 129 2 moderated moderate VBN cord-125330-jyppul4o 129 3 drinkers drinker NNS cord-125330-jyppul4o 129 4 will will MD cord-125330-jyppul4o 129 5 become become VB cord-125330-jyppul4o 129 6 risk risk NN cord-125330-jyppul4o 129 7 drinkers drinker NNS cord-125330-jyppul4o 129 8 ( ( -LRB- cord-125330-jyppul4o 129 9 via via IN cord-125330-jyppul4o 129 10 probabilities probability NNS cord-125330-jyppul4o 129 11 α α NNP cord-125330-jyppul4o 129 12 and and CC cord-125330-jyppul4o 129 13 δ δ NN cord-125330-jyppul4o 129 14 ) ) -RRB- cord-125330-jyppul4o 129 15 , , , cord-125330-jyppul4o 129 16 and and CC cord-125330-jyppul4o 129 17 in in IN cord-125330-jyppul4o 129 18 the the DT cord-125330-jyppul4o 129 19 case case NN cord-125330-jyppul4o 129 20 of of IN cord-125330-jyppul4o 129 21 small small JJ cord-125330-jyppul4o 129 22 γ γ NN cord-125330-jyppul4o 129 23 we -PRON- PRP cord-125330-jyppul4o 129 24 will will MD cord-125330-jyppul4o 129 25 observe observe VB cord-125330-jyppul4o 129 26 after after IN cord-125330-jyppul4o 129 27 a a DT cord-125330-jyppul4o 129 28 long long JJ cord-125330-jyppul4o 129 29 time time NN cord-125330-jyppul4o 129 30 the the DT cord-125330-jyppul4o 129 31 disappearance disappearance NN cord-125330-jyppul4o 129 32 of of IN cord-125330-jyppul4o 129 33 nonconsumers nonconsumer NNS cord-125330-jyppul4o 129 34 and and CC cord-125330-jyppul4o 129 35 moderated moderate VBN cord-125330-jyppul4o 129 36 drinkers drinker NNS cord-125330-jyppul4o 129 37 ( ( -LRB- cord-125330-jyppul4o 129 38 region region NN cord-125330-jyppul4o 129 39 III iii CD cord-125330-jyppul4o 129 40 ) ) -RRB- cord-125330-jyppul4o 129 41 . . . cord-125330-jyppul4o 130 1 In in IN cord-125330-jyppul4o 130 2 the the DT cord-125330-jyppul4o 130 3 opposite opposite JJ cord-125330-jyppul4o 130 4 case case NN cord-125330-jyppul4o 130 5 , , , cord-125330-jyppul4o 130 6 i.e. i.e. FW cord-125330-jyppul4o 130 7 , , , cord-125330-jyppul4o 130 8 for for IN cord-125330-jyppul4o 130 9 high high JJ cord-125330-jyppul4o 130 10 γ γ NN cord-125330-jyppul4o 130 11 and and CC cord-125330-jyppul4o 130 12 small small JJ cord-125330-jyppul4o 130 13 β β NN cord-125330-jyppul4o 130 14 , , , cord-125330-jyppul4o 130 15 the the DT cord-125330-jyppul4o 130 16 flux flux NN cord-125330-jyppul4o 130 17 into into IN cord-125330-jyppul4o 130 18 the the DT cord-125330-jyppul4o 130 19 compartment compartment NN cord-125330-jyppul4o 130 20 S S NNP cord-125330-jyppul4o 130 21 is be VBZ cord-125330-jyppul4o 130 22 intense intense JJ cord-125330-jyppul4o 130 23 , , , cord-125330-jyppul4o 130 24 and and CC cord-125330-jyppul4o 130 25 in in IN cord-125330-jyppul4o 130 26 the the DT cord-125330-jyppul4o 130 27 long long JJ cord-125330-jyppul4o 130 28 - - HYPH cord-125330-jyppul4o 130 29 time time NN cord-125330-jyppul4o 130 30 limit limit NN cord-125330-jyppul4o 130 31 the the DT cord-125330-jyppul4o 130 32 other other JJ cord-125330-jyppul4o 130 33 two two CD cord-125330-jyppul4o 130 34 subpopulations subpopulation NNS cord-125330-jyppul4o 130 35 M M NNP cord-125330-jyppul4o 130 36 and and CC cord-125330-jyppul4o 130 37 R r NN cord-125330-jyppul4o 130 38 disappears disappear VBZ cord-125330-jyppul4o 130 39 ( ( -LRB- cord-125330-jyppul4o 130 40 region region NN cord-125330-jyppul4o 130 41 I I NNP cord-125330-jyppul4o 130 42 ) ) -RRB- cord-125330-jyppul4o 130 43 . . . cord-125330-jyppul4o 131 1 Finally finally RB cord-125330-jyppul4o 131 2 , , , cord-125330-jyppul4o 131 3 for for IN cord-125330-jyppul4o 131 4 intermediate intermediate JJ cord-125330-jyppul4o 131 5 values value NNS cord-125330-jyppul4o 131 6 of of IN cord-125330-jyppul4o 131 7 β β NN cord-125330-jyppul4o 131 8 and and CC cord-125330-jyppul4o 131 9 γ γ NNP cord-125330-jyppul4o 131 10 the the DT cord-125330-jyppul4o 131 11 competition competition NN cord-125330-jyppul4o 131 12 among among IN cord-125330-jyppul4o 131 13 the the DT cord-125330-jyppul4o 131 14 social social JJ cord-125330-jyppul4o 131 15 interactions interaction NNS cord-125330-jyppul4o 131 16 lead lead VBP cord-125330-jyppul4o 131 17 to to IN cord-125330-jyppul4o 131 18 the the DT cord-125330-jyppul4o 131 19 coexistence coexistence NN cord-125330-jyppul4o 131 20 of of IN cord-125330-jyppul4o 131 21 the the DT cord-125330-jyppul4o 131 22 three three CD cord-125330-jyppul4o 131 23 subpopulations subpopulation NNS cord-125330-jyppul4o 131 24 in in IN cord-125330-jyppul4o 131 25 the the DT cord-125330-jyppul4o 131 26 stationary stationary JJ cord-125330-jyppul4o 131 27 states state NNS cord-125330-jyppul4o 131 28 ( ( -LRB- cord-125330-jyppul4o 131 29 region region NN cord-125330-jyppul4o 131 30 II II NNP cord-125330-jyppul4o 131 31 ) ) -RRB- cord-125330-jyppul4o 131 32 . . . cord-125330-jyppul4o 132 1 It -PRON- PRP cord-125330-jyppul4o 132 2 is be VBZ cord-125330-jyppul4o 132 3 worthwhile worthwhile JJ cord-125330-jyppul4o 132 4 to to TO cord-125330-jyppul4o 132 5 mention mention VB cord-125330-jyppul4o 132 6 that that IN cord-125330-jyppul4o 132 7 the the DT cord-125330-jyppul4o 132 8 sizes size NNS cord-125330-jyppul4o 132 9 of of IN cord-125330-jyppul4o 132 10 regions region NNS cord-125330-jyppul4o 132 11 I -PRON- PRP cord-125330-jyppul4o 132 12 and and CC cord-125330-jyppul4o 132 13 II II NNP cord-125330-jyppul4o 132 14 are be VBP cord-125330-jyppul4o 132 15 directly directly RB cord-125330-jyppul4o 132 16 dependent dependent JJ cord-125330-jyppul4o 132 17 on on IN cord-125330-jyppul4o 132 18 probability probability NN cord-125330-jyppul4o 132 19 α α NN cord-125330-jyppul4o 132 20 , , , cord-125330-jyppul4o 132 21 while while IN cord-125330-jyppul4o 132 22 region region NN cord-125330-jyppul4o 132 23 III III NNP cord-125330-jyppul4o 132 24 is be VBZ cord-125330-jyppul4o 132 25 always always RB cord-125330-jyppul4o 132 26 fixed fix VBN cord-125330-jyppul4o 132 27 due due IN cord-125330-jyppul4o 132 28 to to IN cord-125330-jyppul4o 132 29 Eq Eq NNP cord-125330-jyppul4o 132 30 . . . cord-125330-jyppul4o 133 1 ( ( -LRB- cord-125330-jyppul4o 133 2 18 18 CD cord-125330-jyppul4o 133 3 ) ) -RRB- cord-125330-jyppul4o 133 4 . . . cord-125330-jyppul4o 134 1 This this DT cord-125330-jyppul4o 134 2 means mean VBZ cord-125330-jyppul4o 134 3 that that IN cord-125330-jyppul4o 134 4 , , , cord-125330-jyppul4o 134 5 if if IN cord-125330-jyppul4o 134 6 parameter parameter NN cord-125330-jyppul4o 134 7 α α NN cord-125330-jyppul4o 134 8 is be VBZ cord-125330-jyppul4o 134 9 increased increase VBN cord-125330-jyppul4o 134 10 , , , cord-125330-jyppul4o 134 11 region region NN cord-125330-jyppul4o 134 12 I -PRON- PRP cord-125330-jyppul4o 134 13 will will MD cord-125330-jyppul4o 134 14 become become VB cord-125330-jyppul4o 134 15 gradually gradually RB cord-125330-jyppul4o 134 16 larger large JJR cord-125330-jyppul4o 134 17 , , , cord-125330-jyppul4o 134 18 which which WDT cord-125330-jyppul4o 134 19 is be VBZ cord-125330-jyppul4o 134 20 an an DT cord-125330-jyppul4o 134 21 indication indication NN cord-125330-jyppul4o 134 22 that that IN cord-125330-jyppul4o 134 23 the the DT cord-125330-jyppul4o 134 24 spontaneous spontaneous JJ cord-125330-jyppul4o 134 25 evolution evolution NN cord-125330-jyppul4o 134 26 from from IN cord-125330-jyppul4o 134 27 moderate moderate JJ cord-125330-jyppul4o 134 28 to to IN cord-125330-jyppul4o 134 29 risk risk NN cord-125330-jyppul4o 134 30 drinking drinking NN cord-125330-jyppul4o 134 31 behavior behavior NN cord-125330-jyppul4o 134 32 increases increase VBZ cord-125330-jyppul4o 134 33 the the DT cord-125330-jyppul4o 134 34 latter latter NN cord-125330-jyppul4o 134 35 's 's POS cord-125330-jyppul4o 134 36 absorbing absorb VBG cord-125330-jyppul4o 134 37 state state NN cord-125330-jyppul4o 134 38 . . . cord-125330-jyppul4o 135 1 In in IN cord-125330-jyppul4o 135 2 consequence consequence NN cord-125330-jyppul4o 135 3 , , , cord-125330-jyppul4o 135 4 since since IN cord-125330-jyppul4o 135 5 probability probability NN cord-125330-jyppul4o 135 6 α α NN cord-125330-jyppul4o 135 7 represents represent VBZ cord-125330-jyppul4o 135 8 a a DT cord-125330-jyppul4o 135 9 percentage percentage NN cord-125330-jyppul4o 135 10 of of IN cord-125330-jyppul4o 135 11 moderate moderate JJ cord-125330-jyppul4o 135 12 drinkers drinker NNS cord-125330-jyppul4o 135 13 that that WDT cord-125330-jyppul4o 135 14 become become VBP cord-125330-jyppul4o 135 15 risk risk NN cord-125330-jyppul4o 135 16 drinkers drinker NNS cord-125330-jyppul4o 135 17 without without IN cord-125330-jyppul4o 135 18 the the DT cord-125330-jyppul4o 135 19 need need NN cord-125330-jyppul4o 135 20 for for IN cord-125330-jyppul4o 135 21 social social JJ cord-125330-jyppul4o 135 22 interaction interaction NN cord-125330-jyppul4o 135 23 , , , cord-125330-jyppul4o 135 24 it -PRON- PRP cord-125330-jyppul4o 135 25 is be VBZ cord-125330-jyppul4o 135 26 a a DT cord-125330-jyppul4o 135 27 crucial crucial JJ cord-125330-jyppul4o 135 28 factor factor NN cord-125330-jyppul4o 135 29 not not RB cord-125330-jyppul4o 135 30 only only RB cord-125330-jyppul4o 135 31 to to TO cord-125330-jyppul4o 135 32 implement implement VB cord-125330-jyppul4o 135 33 the the DT cord-125330-jyppul4o 135 34 theoretical theoretical JJ cord-125330-jyppul4o 135 35 model model NN cord-125330-jyppul4o 135 36 but but CC cord-125330-jyppul4o 135 37 also also RB cord-125330-jyppul4o 135 38 to to TO cord-125330-jyppul4o 135 39 identify identify VB cord-125330-jyppul4o 135 40 a a DT cord-125330-jyppul4o 135 41 possible possible JJ cord-125330-jyppul4o 135 42 percentage percentage NN cord-125330-jyppul4o 135 43 of of IN cord-125330-jyppul4o 135 44 the the DT cord-125330-jyppul4o 135 45 population population NN cord-125330-jyppul4o 135 46 that that WDT cord-125330-jyppul4o 135 47 has have VBZ cord-125330-jyppul4o 135 48 a a DT cord-125330-jyppul4o 135 49 natural natural JJ cord-125330-jyppul4o 135 50 tendency tendency NN cord-125330-jyppul4o 135 51 to to TO cord-125330-jyppul4o 135 52 present present VB cord-125330-jyppul4o 135 53 excessive excessive JJ cord-125330-jyppul4o 135 54 alcohol alcohol NN cord-125330-jyppul4o 135 55 consumption consumption NN cord-125330-jyppul4o 135 56 behavior behavior NN cord-125330-jyppul4o 135 57 , , , cord-125330-jyppul4o 135 58 regardless regardless RB cord-125330-jyppul4o 135 59 of of IN cord-125330-jyppul4o 135 60 their -PRON- PRP$ cord-125330-jyppul4o 135 61 social social JJ cord-125330-jyppul4o 135 62 interaction interaction NN cord-125330-jyppul4o 135 63 network network NN cord-125330-jyppul4o 135 64 . . . cord-125330-jyppul4o 136 1 For for IN cord-125330-jyppul4o 136 2 Fig Fig NNP cord-125330-jyppul4o 136 3 . . . cord-125330-jyppul4o 137 1 3 3 LS cord-125330-jyppul4o 137 2 , , , cord-125330-jyppul4o 137 3 for for IN cord-125330-jyppul4o 137 4 instance instance NN cord-125330-jyppul4o 137 5 , , , cord-125330-jyppul4o 137 6 this this DT cord-125330-jyppul4o 137 7 value value NN cord-125330-jyppul4o 137 8 is be VBZ cord-125330-jyppul4o 137 9 3 3 CD cord-125330-jyppul4o 137 10 % % NN cord-125330-jyppul4o 137 11 . . . cord-125330-jyppul4o 138 1 Larger large JJR cord-125330-jyppul4o 138 2 values value NNS cord-125330-jyppul4o 138 3 of of IN cord-125330-jyppul4o 138 4 α α NN cord-125330-jyppul4o 138 5 narrow narrow JJ cord-125330-jyppul4o 138 6 the the DT cord-125330-jyppul4o 138 7 set set NN cord-125330-jyppul4o 138 8 of of IN cord-125330-jyppul4o 138 9 parameters parameter NNS cord-125330-jyppul4o 138 10 that that WDT cord-125330-jyppul4o 138 11 can can MD cord-125330-jyppul4o 138 12 be be VB cord-125330-jyppul4o 138 13 chosen choose VBN cord-125330-jyppul4o 138 14 in in IN cord-125330-jyppul4o 138 15 order order NN cord-125330-jyppul4o 138 16 to to TO cord-125330-jyppul4o 138 17 realistically realistically RB cord-125330-jyppul4o 138 18 describe describe VB cord-125330-jyppul4o 138 19 a a DT cord-125330-jyppul4o 138 20 real real JJ cord-125330-jyppul4o 138 21 system system NN cord-125330-jyppul4o 138 22 . . . cord-125330-jyppul4o 139 1 Finally finally RB cord-125330-jyppul4o 139 2 , , , cord-125330-jyppul4o 139 3 we -PRON- PRP cord-125330-jyppul4o 139 4 compare compare VBP cord-125330-jyppul4o 139 5 the the DT cord-125330-jyppul4o 139 6 model model NN cord-125330-jyppul4o 139 7 's 's POS cord-125330-jyppul4o 139 8 results result NNS cord-125330-jyppul4o 139 9 with with IN cord-125330-jyppul4o 139 10 data datum NNS cord-125330-jyppul4o 139 11 of of IN cord-125330-jyppul4o 139 12 drinking drink VBG cord-125330-jyppul4o 139 13 abusive abusive JJ cord-125330-jyppul4o 139 14 consumption consumption NN cord-125330-jyppul4o 139 15 in in IN cord-125330-jyppul4o 139 16 Brazil Brazil NNP cord-125330-jyppul4o 139 17 [ [ -LRB- cord-125330-jyppul4o 139 18 26 26 CD cord-125330-jyppul4o 139 19 ] ] -RRB- cord-125330-jyppul4o 139 20 . . . cord-125330-jyppul4o 140 1 Data datum NNS cord-125330-jyppul4o 140 2 were be VBD cord-125330-jyppul4o 140 3 collected collect VBN cord-125330-jyppul4o 140 4 from from IN cord-125330-jyppul4o 140 5 2009 2009 CD cord-125330-jyppul4o 140 6 to to IN cord-125330-jyppul4o 140 7 2019 2019 CD cord-125330-jyppul4o 140 8 , , , cord-125330-jyppul4o 140 9 thus thus RB cord-125330-jyppul4o 140 10 in in IN cord-125330-jyppul4o 140 11 Fig Fig NNP cord-125330-jyppul4o 140 12 . . . cord-125330-jyppul4o 141 1 4 4 LS cord-125330-jyppul4o 142 1 the the DT cord-125330-jyppul4o 142 2 initial initial JJ cord-125330-jyppul4o 142 3 time time NN cord-125330-jyppul4o 143 1 t t NN cord-125330-jyppul4o 143 2 = = SYM cord-125330-jyppul4o 143 3 0 0 NFP cord-125330-jyppul4o 143 4 represents represent VBZ cord-125330-jyppul4o 143 5 the the DT cord-125330-jyppul4o 143 6 fraction fraction NN cord-125330-jyppul4o 143 7 of of IN cord-125330-jyppul4o 143 8 abusive abusive JJ cord-125330-jyppul4o 143 9 drinkers drinker NNS cord-125330-jyppul4o 143 10 for for IN cord-125330-jyppul4o 143 11 2009 2009 CD cord-125330-jyppul4o 143 12 , , , cord-125330-jyppul4o 143 13 t t NN cord-125330-jyppul4o 143 14 = = SYM cord-125330-jyppul4o 143 15 1 1 CD cord-125330-jyppul4o 143 16 represents represent VBZ cord-125330-jyppul4o 143 17 the the DT cord-125330-jyppul4o 143 18 fraction fraction NN cord-125330-jyppul4o 143 19 for for IN cord-125330-jyppul4o 143 20 2010 2010 CD cord-125330-jyppul4o 143 21 , , , cord-125330-jyppul4o 143 22 and and CC cord-125330-jyppul4o 143 23 so so RB cord-125330-jyppul4o 143 24 on on RB cord-125330-jyppul4o 143 25 . . . cord-125330-jyppul4o 144 1 Since since IN cord-125330-jyppul4o 144 2 the the DT cord-125330-jyppul4o 144 3 data data NN cord-125330-jyppul4o 144 4 is be VBZ cord-125330-jyppul4o 144 5 for for IN cord-125330-jyppul4o 144 6 the the DT cord-125330-jyppul4o 144 7 fraction fraction NN cord-125330-jyppul4o 144 8 of of IN cord-125330-jyppul4o 144 9 people people NNS cord-125330-jyppul4o 144 10 that that WDT cord-125330-jyppul4o 144 11 consume consume VBP cord-125330-jyppul4o 144 12 alcohol alcohol NN cord-125330-jyppul4o 144 13 abusively abusively RB cord-125330-jyppul4o 144 14 , , , cord-125330-jyppul4o 144 15 we -PRON- PRP cord-125330-jyppul4o 144 16 plot plot VBP cord-125330-jyppul4o 144 17 the the DT cord-125330-jyppul4o 144 18 density density NN cord-125330-jyppul4o 144 19 of of IN cord-125330-jyppul4o 144 20 risk risk NN cord-125330-jyppul4o 144 21 drinkers drinker NNS cord-125330-jyppul4o 144 22 r(t r(t NNP cord-125330-jyppul4o 144 23 ) ) -RRB- cord-125330-jyppul4o 144 24 together together RB cord-125330-jyppul4o 144 25 with with IN cord-125330-jyppul4o 144 26 the the DT cord-125330-jyppul4o 144 27 data datum NNS cord-125330-jyppul4o 144 28 . . . cord-125330-jyppul4o 145 1 In in IN cord-125330-jyppul4o 145 2 order order NN cord-125330-jyppul4o 145 3 to to TO cord-125330-jyppul4o 145 4 compare compare VB cord-125330-jyppul4o 145 5 them -PRON- PRP cord-125330-jyppul4o 145 6 with with IN cord-125330-jyppul4o 145 7 the the DT cord-125330-jyppul4o 145 8 model model NN cord-125330-jyppul4o 145 9 , , , cord-125330-jyppul4o 145 10 we -PRON- PRP cord-125330-jyppul4o 145 11 considered consider VBD cord-125330-jyppul4o 145 12 for for IN cord-125330-jyppul4o 145 13 the the DT cord-125330-jyppul4o 145 14 initial initial JJ cord-125330-jyppul4o 145 15 density density NN cord-125330-jyppul4o 145 16 of of IN cord-125330-jyppul4o 145 17 risk risk NN cord-125330-jyppul4o 145 18 drinkers drinker NNS cord-125330-jyppul4o 145 19 r(0 r(0 NNP cord-125330-jyppul4o 145 20 ) ) -RRB- cord-125330-jyppul4o 145 21 = = SYM cord-125330-jyppul4o 145 22 0.185 0.185 CD cord-125330-jyppul4o 145 23 and and CC cord-125330-jyppul4o 145 24 numerically numerically RB cord-125330-jyppul4o 145 25 integrated integrate VBN cord-125330-jyppul4o 145 26 Eqs Eqs NNP cord-125330-jyppul4o 145 27 . . . cord-125330-jyppul4o 146 1 ( ( -LRB- cord-125330-jyppul4o 146 2 1 1 LS cord-125330-jyppul4o 146 3 ) ) -RRB- cord-125330-jyppul4o 146 4 -(3 -(3 NN cord-125330-jyppul4o 146 5 ) ) -RRB- cord-125330-jyppul4o 146 6 . . . cord-125330-jyppul4o 147 1 The the DT cord-125330-jyppul4o 147 2 value value NN cord-125330-jyppul4o 147 3 0.185 0.185 CD cord-125330-jyppul4o 147 4 was be VBD cord-125330-jyppul4o 147 5 chosen choose VBN cord-125330-jyppul4o 147 6 since since IN cord-125330-jyppul4o 147 7 it -PRON- PRP cord-125330-jyppul4o 147 8 is be VBZ cord-125330-jyppul4o 147 9 the the DT cord-125330-jyppul4o 147 10 fraction fraction NN cord-125330-jyppul4o 147 11 of of IN cord-125330-jyppul4o 147 12 abusive abusive JJ cord-125330-jyppul4o 147 13 drinkers drinker NNS cord-125330-jyppul4o 147 14 for for IN cord-125330-jyppul4o 147 15 2009 2009 CD cord-125330-jyppul4o 147 16 obtained obtain VBN cord-125330-jyppul4o 147 17 from from IN cord-125330-jyppul4o 147 18 the the DT cord-125330-jyppul4o 147 19 database database NN cord-125330-jyppul4o 147 20 [ [ -LRB- cord-125330-jyppul4o 147 21 26 26 CD cord-125330-jyppul4o 147 22 ] ] -RRB- cord-125330-jyppul4o 147 23 . . . cord-125330-jyppul4o 148 1 In in IN cord-125330-jyppul4o 148 2 addition addition NN cord-125330-jyppul4o 148 3 , , , cord-125330-jyppul4o 148 4 we -PRON- PRP cord-125330-jyppul4o 148 5 rescaled rescale VBD cord-125330-jyppul4o 148 6 the the DT cord-125330-jyppul4o 148 7 time time NN cord-125330-jyppul4o 148 8 of of IN cord-125330-jyppul4o 148 9 the the DT cord-125330-jyppul4o 148 10 simulation simulation NN cord-125330-jyppul4o 148 11 results result VBZ cord-125330-jyppul4o 148 12 to to TO cord-125330-jyppul4o 148 13 match match VB cord-125330-jyppul4o 148 14 the the DT cord-125330-jyppul4o 148 15 time time NN cord-125330-jyppul4o 148 16 of of IN cord-125330-jyppul4o 148 17 real real JJ cord-125330-jyppul4o 148 18 data datum NNS cord-125330-jyppul4o 148 19 : : : cord-125330-jyppul4o 148 20 such such JJ cord-125330-jyppul4o 148 21 simulation simulation NN cord-125330-jyppul4o 148 22 time time NN cord-125330-jyppul4o 148 23 was be VBD cord-125330-jyppul4o 148 24 multiplied multiply VBN cord-125330-jyppul4o 148 25 by by IN cord-125330-jyppul4o 148 26 0.12 0.12 CD cord-125330-jyppul4o 148 27 for for IN cord-125330-jyppul4o 148 28 a a DT cord-125330-jyppul4o 148 29 better well JJR cord-125330-jyppul4o 148 30 comparison comparison NN cord-125330-jyppul4o 148 31 . . . cord-125330-jyppul4o 149 1 We -PRON- PRP cord-125330-jyppul4o 149 2 find find VBP cord-125330-jyppul4o 149 3 that that IN cord-125330-jyppul4o 149 4 the the DT cord-125330-jyppul4o 149 5 simulated simulated JJ cord-125330-jyppul4o 149 6 drinking drinking NN cord-125330-jyppul4o 149 7 trajectories trajectory NNS cord-125330-jyppul4o 149 8 qualitatively qualitatively RB cord-125330-jyppul4o 149 9 correspond correspond VBP cord-125330-jyppul4o 149 10 to to IN cord-125330-jyppul4o 149 11 the the DT cord-125330-jyppul4o 149 12 data datum NNS cord-125330-jyppul4o 149 13 . . . cord-125330-jyppul4o 150 1 For for IN cord-125330-jyppul4o 150 2 the the DT cord-125330-jyppul4o 150 3 numerical numerical JJ cord-125330-jyppul4o 150 4 results result NNS cord-125330-jyppul4o 150 5 , , , cord-125330-jyppul4o 150 6 we -PRON- PRP cord-125330-jyppul4o 150 7 considered consider VBD cord-125330-jyppul4o 150 8 the the DT cord-125330-jyppul4o 150 9 parameters parameter NNS cord-125330-jyppul4o 150 10 β β XX cord-125330-jyppul4o 150 11 = = SYM cord-125330-jyppul4o 150 12 0.06 0.06 CD cord-125330-jyppul4o 150 13 , , , cord-125330-jyppul4o 150 14 γ γ NN cord-125330-jyppul4o 150 15 = = SYM cord-125330-jyppul4o 150 16 0.11 0.11 CD cord-125330-jyppul4o 150 17 , , , cord-125330-jyppul4o 150 18 α α NN cord-125330-jyppul4o 150 19 = = SYM cord-125330-jyppul4o 150 20 0.047 0.047 CD cord-125330-jyppul4o 150 21 and and CC cord-125330-jyppul4o 150 22 δ δ NN cord-125330-jyppul4o 150 23 = = SYM cord-125330-jyppul4o 150 24 0.2 0.2 CD cord-125330-jyppul4o 150 25 , , , cord-125330-jyppul4o 150 26 which which WDT cord-125330-jyppul4o 150 27 indicate indicate VBP cord-125330-jyppul4o 150 28 that that IN cord-125330-jyppul4o 150 29 the the DT cord-125330-jyppul4o 150 30 probability probability NN cord-125330-jyppul4o 150 31 of of IN cord-125330-jyppul4o 150 32 finding find VBG cord-125330-jyppul4o 150 33 an an DT cord-125330-jyppul4o 150 34 individual individual NN cord-125330-jyppul4o 150 35 that that WDT cord-125330-jyppul4o 150 36 will will MD cord-125330-jyppul4o 150 37 spontaneously spontaneously RB cord-125330-jyppul4o 150 38 become become VB cord-125330-jyppul4o 150 39 a a DT cord-125330-jyppul4o 150 40 risk risk NN cord-125330-jyppul4o 150 41 drinker drinker NN cord-125330-jyppul4o 150 42 in in IN cord-125330-jyppul4o 150 43 Brazil Brazil NNP cord-125330-jyppul4o 150 44 during during IN cord-125330-jyppul4o 150 45 the the DT cord-125330-jyppul4o 150 46 last last JJ cord-125330-jyppul4o 150 47 decade decade NN cord-125330-jyppul4o 150 48 is be VBZ cord-125330-jyppul4o 150 49 around around IN cord-125330-jyppul4o 150 50 4,7 4,7 CD cord-125330-jyppul4o 150 51 % % NN cord-125330-jyppul4o 150 52 . . . cord-125330-jyppul4o 151 1 Furthermore furthermore RB cord-125330-jyppul4o 151 2 , , , cord-125330-jyppul4o 151 3 looking look VBG cord-125330-jyppul4o 151 4 at at IN cord-125330-jyppul4o 151 5 Eqs Eqs NNP cord-125330-jyppul4o 151 6 . . . cord-125330-jyppul4o 152 1 ( ( -LRB- cord-125330-jyppul4o 152 2 17 17 CD cord-125330-jyppul4o 152 3 ) ) -RRB- cord-125330-jyppul4o 152 4 and and CC cord-125330-jyppul4o 152 5 ( ( -LRB- cord-125330-jyppul4o 152 6 18 18 CD cord-125330-jyppul4o 152 7 ) ) -RRB- cord-125330-jyppul4o 152 8 , , , cord-125330-jyppul4o 152 9 it -PRON- PRP cord-125330-jyppul4o 152 10 is be VBZ cord-125330-jyppul4o 152 11 easy easy JJ cord-125330-jyppul4o 152 12 to to TO cord-125330-jyppul4o 152 13 see see VB cord-125330-jyppul4o 152 14 that that IN cord-125330-jyppul4o 152 15 in in IN cord-125330-jyppul4o 152 16 order order NN cord-125330-jyppul4o 152 17 to to TO cord-125330-jyppul4o 152 18 model model VB cord-125330-jyppul4o 152 19 Brazil Brazil NNP cord-125330-jyppul4o 152 20 's 's POS cord-125330-jyppul4o 152 21 c c NN cord-125330-jyppul4o 152 22 < < XX cord-125330-jyppul4o 152 23 β β XX cord-125330-jyppul4o 152 24 < < XX cord-125330-jyppul4o 152 25 β β NNP cord-125330-jyppul4o 152 26 ( ( -LRB- cord-125330-jyppul4o 152 27 2 2 CD cord-125330-jyppul4o 152 28 ) ) -RRB- cord-125330-jyppul4o 152 29 c c NN cord-125330-jyppul4o 152 30 , , , cord-125330-jyppul4o 152 31 showing show VBG cord-125330-jyppul4o 152 32 that that IN cord-125330-jyppul4o 152 33 the the DT cord-125330-jyppul4o 152 34 model model NN cord-125330-jyppul4o 152 35 describes describe VBZ cord-125330-jyppul4o 152 36 the the DT cord-125330-jyppul4o 152 37 available available JJ cord-125330-jyppul4o 152 38 data datum NNS cord-125330-jyppul4o 152 39 in in IN cord-125330-jyppul4o 152 40 its -PRON- PRP$ cord-125330-jyppul4o 152 41 most most RBS cord-125330-jyppul4o 152 42 realistic realistic JJ cord-125330-jyppul4o 152 43 spectrum spectrum NN cord-125330-jyppul4o 152 44 ( ( -LRB- cord-125330-jyppul4o 152 45 region region NN cord-125330-jyppul4o 152 46 II II NNP cord-125330-jyppul4o 152 47 of of IN cord-125330-jyppul4o 152 48 Figure Figure NNP cord-125330-jyppul4o 152 49 3 3 CD cord-125330-jyppul4o 152 50 ) ) -RRB- cord-125330-jyppul4o 152 51 . . . cord-125330-jyppul4o 153 1 Naturally naturally RB cord-125330-jyppul4o 153 2 , , , cord-125330-jyppul4o 153 3 in in IN cord-125330-jyppul4o 153 4 comparison comparison NN cord-125330-jyppul4o 153 5 with with IN cord-125330-jyppul4o 153 6 actual actual JJ cord-125330-jyppul4o 153 7 data datum NNS cord-125330-jyppul4o 153 8 , , , cord-125330-jyppul4o 153 9 models model NNS cord-125330-jyppul4o 153 10 should should MD cord-125330-jyppul4o 153 11 always always RB cord-125330-jyppul4o 153 12 present present VB cord-125330-jyppul4o 153 13 the the DT cord-125330-jyppul4o 153 14 three three CD cord-125330-jyppul4o 153 15 different different JJ cord-125330-jyppul4o 153 16 phases phase NNS cord-125330-jyppul4o 153 17 , , , cord-125330-jyppul4o 153 18 i.e. i.e. FW cord-125330-jyppul4o 153 19 coexistence coexistence NN cord-125330-jyppul4o 153 20 between between IN cord-125330-jyppul4o 153 21 the the DT cord-125330-jyppul4o 153 22 three three CD cord-125330-jyppul4o 153 23 different different JJ cord-125330-jyppul4o 153 24 population population NN cord-125330-jyppul4o 153 25 groups group NNS cord-125330-jyppul4o 153 26 , , , cord-125330-jyppul4o 153 27 since since IN cord-125330-jyppul4o 153 28 descriptions description NNS cord-125330-jyppul4o 153 29 with with IN cord-125330-jyppul4o 153 30 only only JJ cord-125330-jyppul4o 153 31 nonconsumers nonconsumer NNS cord-125330-jyppul4o 153 32 or or CC cord-125330-jyppul4o 153 33 risk risk NN cord-125330-jyppul4o 153 34 drinkers drinker NNS cord-125330-jyppul4o 153 35 are be VBP cord-125330-jyppul4o 153 36 unrealistic unrealistic JJ cord-125330-jyppul4o 153 37 . . . cord-125330-jyppul4o 154 1 This this DT cord-125330-jyppul4o 154 2 qualitative qualitative JJ cord-125330-jyppul4o 154 3 agreement agreement NN cord-125330-jyppul4o 154 4 with with IN cord-125330-jyppul4o 154 5 Brazil Brazil NNP cord-125330-jyppul4o 154 6 's 's POS cord-125330-jyppul4o 154 7 database database NN cord-125330-jyppul4o 154 8 in in IN cord-125330-jyppul4o 154 9 the the DT cord-125330-jyppul4o 154 10 realistic realistic JJ cord-125330-jyppul4o 154 11 spectrum spectrum NN cord-125330-jyppul4o 154 12 of of IN cord-125330-jyppul4o 154 13 the the DT cord-125330-jyppul4o 154 14 model model NN cord-125330-jyppul4o 154 15 points point VBZ cord-125330-jyppul4o 154 16 to to IN cord-125330-jyppul4o 154 17 a a DT cord-125330-jyppul4o 154 18 good good JJ cord-125330-jyppul4o 154 19 , , , cord-125330-jyppul4o 154 20 albeit albeit RB cord-125330-jyppul4o 154 21 simplistic simplistic JJ cord-125330-jyppul4o 154 22 , , , cord-125330-jyppul4o 154 23 modelling modelling NN cord-125330-jyppul4o 154 24 . . . cord-125330-jyppul4o 155 1 In in IN cord-125330-jyppul4o 155 2 this this DT cord-125330-jyppul4o 155 3 work work NN cord-125330-jyppul4o 155 4 , , , cord-125330-jyppul4o 155 5 we -PRON- PRP cord-125330-jyppul4o 155 6 have have VBP cord-125330-jyppul4o 155 7 studied study VBN cord-125330-jyppul4o 155 8 a a DT cord-125330-jyppul4o 155 9 compartmental compartmental JJ cord-125330-jyppul4o 155 10 model model NN cord-125330-jyppul4o 155 11 that that WDT cord-125330-jyppul4o 155 12 aims aim VBZ cord-125330-jyppul4o 155 13 to to TO cord-125330-jyppul4o 155 14 describe describe VB cord-125330-jyppul4o 155 15 the the DT cord-125330-jyppul4o 155 16 evolution evolution NN cord-125330-jyppul4o 155 17 of of IN cord-125330-jyppul4o 155 18 drinking drink VBG cord-125330-jyppul4o 155 19 behavior behavior NN cord-125330-jyppul4o 155 20 in in IN cord-125330-jyppul4o 155 21 an an DT cord-125330-jyppul4o 155 22 adult adult NN cord-125330-jyppul4o 155 23 population population NN cord-125330-jyppul4o 155 24 . . . cord-125330-jyppul4o 156 1 We -PRON- PRP cord-125330-jyppul4o 156 2 considered consider VBD cord-125330-jyppul4o 156 3 a a DT cord-125330-jyppul4o 156 4 fully fully RB cord-125330-jyppul4o 156 5 - - HYPH cord-125330-jyppul4o 156 6 connected connect VBN cord-125330-jyppul4o 156 7 population population NN cord-125330-jyppul4o 156 8 that that WDT cord-125330-jyppul4o 156 9 is be VBZ cord-125330-jyppul4o 156 10 divided divide VBN cord-125330-jyppul4o 156 11 in in IN cord-125330-jyppul4o 156 12 three three CD cord-125330-jyppul4o 156 13 compartments compartment NNS cord-125330-jyppul4o 156 14 , , , cord-125330-jyppul4o 156 15 namely namely RB cord-125330-jyppul4o 156 16 Susceptible susceptible JJ cord-125330-jyppul4o 156 17 individuals individual NNS cord-125330-jyppul4o 156 18 S S NNP cord-125330-jyppul4o 156 19 ( ( -LRB- cord-125330-jyppul4o 156 20 nonconsumers nonconsumers NNP cord-125330-jyppul4o 156 21 ) ) -RRB- cord-125330-jyppul4o 156 22 , , , cord-125330-jyppul4o 156 23 Moderated moderate VBN cord-125330-jyppul4o 156 24 drinkers drinker NNS cord-125330-jyppul4o 156 25 M M NNP cord-125330-jyppul4o 156 26 and and CC cord-125330-jyppul4o 156 27 Risk Risk NNP cord-125330-jyppul4o 156 28 drinkers drinker NNS cord-125330-jyppul4o 156 29 R. R. NNP cord-125330-jyppul4o 157 1 The the DT cord-125330-jyppul4o 157 2 transitions transition NNS cord-125330-jyppul4o 157 3 among among IN cord-125330-jyppul4o 157 4 the the DT cord-125330-jyppul4o 157 5 compartments compartment NNS cord-125330-jyppul4o 157 6 are be VBP cord-125330-jyppul4o 157 7 ruled rule VBN cord-125330-jyppul4o 157 8 by by IN cord-125330-jyppul4o 157 9 probabilities probability NNS cord-125330-jyppul4o 157 10 , , , cord-125330-jyppul4o 157 11 representing represent VBG cord-125330-jyppul4o 157 12 the the DT cord-125330-jyppul4o 157 13 social social JJ cord-125330-jyppul4o 157 14 interactions interaction NNS cord-125330-jyppul4o 157 15 among among IN cord-125330-jyppul4o 157 16 individuals individual NNS cord-125330-jyppul4o 157 17 , , , cord-125330-jyppul4o 157 18 as as RB cord-125330-jyppul4o 157 19 well well RB cord-125330-jyppul4o 157 20 as as IN cord-125330-jyppul4o 157 21 spontaneous spontaneous JJ cord-125330-jyppul4o 157 22 decisions decision NNS cord-125330-jyppul4o 157 23 , , , cord-125330-jyppul4o 157 24 in in IN cord-125330-jyppul4o 157 25 particular particular JJ cord-125330-jyppul4o 157 26 from from IN cord-125330-jyppul4o 157 27 moderate moderate JJ cord-125330-jyppul4o 157 28 evolving evolving NN cord-125330-jyppul4o 157 29 into into IN cord-125330-jyppul4o 157 30 risk risk NN cord-125330-jyppul4o 157 31 drinkers drinker NNS cord-125330-jyppul4o 157 32 , , , cord-125330-jyppul4o 157 33 and and CC cord-125330-jyppul4o 157 34 we -PRON- PRP cord-125330-jyppul4o 157 35 studied study VBD cord-125330-jyppul4o 157 36 the the DT cord-125330-jyppul4o 157 37 model model NN cord-125330-jyppul4o 157 38 through through IN cord-125330-jyppul4o 157 39 analytical analytical JJ cord-125330-jyppul4o 157 40 and and CC cord-125330-jyppul4o 157 41 numerical numerical JJ cord-125330-jyppul4o 157 42 calculations calculation NNS cord-125330-jyppul4o 157 43 . . . cord-125330-jyppul4o 158 1 From from IN cord-125330-jyppul4o 158 2 the the DT cord-125330-jyppul4o 158 3 theoretical theoretical JJ cord-125330-jyppul4o 158 4 point point NN cord-125330-jyppul4o 158 5 of of IN cord-125330-jyppul4o 158 6 view view NN cord-125330-jyppul4o 158 7 , , , cord-125330-jyppul4o 158 8 the the DT cord-125330-jyppul4o 158 9 model model NN cord-125330-jyppul4o 158 10 is be VBZ cord-125330-jyppul4o 158 11 of of IN cord-125330-jyppul4o 158 12 interest interest NN cord-125330-jyppul4o 158 13 of of IN cord-125330-jyppul4o 158 14 Statistical Statistical NNP cord-125330-jyppul4o 158 15 Physics Physics NNP cord-125330-jyppul4o 158 16 since since IN cord-125330-jyppul4o 158 17 we -PRON- PRP cord-125330-jyppul4o 158 18 observed observe VBD cord-125330-jyppul4o 158 19 the the DT cord-125330-jyppul4o 158 20 occurrence occurrence NN cord-125330-jyppul4o 158 21 of of IN cord-125330-jyppul4o 158 22 two two CD cord-125330-jyppul4o 158 23 distinct distinct JJ cord-125330-jyppul4o 158 24 nonequilibrium nonequilibrium JJ cord-125330-jyppul4o 158 25 phase phase NN cord-125330-jyppul4o 158 26 transitions transition NNS cord-125330-jyppul4o 158 27 . . . cord-125330-jyppul4o 159 1 These these DT cord-125330-jyppul4o 159 2 transitions transition NNS cord-125330-jyppul4o 159 3 separate separate VBP cord-125330-jyppul4o 159 4 the the DT cord-125330-jyppul4o 159 5 model model NN cord-125330-jyppul4o 159 6 in in IN cord-125330-jyppul4o 159 7 three three CD cord-125330-jyppul4o 159 8 regions region NNS cord-125330-jyppul4o 159 9 : : : cord-125330-jyppul4o 160 1 ( ( -LRB- cord-125330-jyppul4o 160 2 I i NN cord-125330-jyppul4o 160 3 ) ) -RRB- cord-125330-jyppul4o 160 4 existence existence NN cord-125330-jyppul4o 160 5 of of IN cord-125330-jyppul4o 160 6 nonconsumers nonconsumer NNS cord-125330-jyppul4o 160 7 only only RB cord-125330-jyppul4o 160 8 ; ; : cord-125330-jyppul4o 160 9 ( ( -LRB- cord-125330-jyppul4o 160 10 II ii NN cord-125330-jyppul4o 160 11 ) ) -RRB- cord-125330-jyppul4o 160 12 coexistence coexistence NN cord-125330-jyppul4o 160 13 of of IN cord-125330-jyppul4o 160 14 the the DT cord-125330-jyppul4o 160 15 three three CD cord-125330-jyppul4o 160 16 compartments compartment NNS cord-125330-jyppul4o 160 17 and and CC cord-125330-jyppul4o 160 18 ( ( -LRB- cord-125330-jyppul4o 160 19 III III NNP cord-125330-jyppul4o 160 20 ) ) -RRB- cord-125330-jyppul4o 161 1 existence existence NN cord-125330-jyppul4o 161 2 of of IN cord-125330-jyppul4o 161 3 risk risk NN cord-125330-jyppul4o 161 4 drinkers drinker NNS cord-125330-jyppul4o 161 5 only only RB cord-125330-jyppul4o 161 6 . . . cord-125330-jyppul4o 162 1 Regions region NNS cord-125330-jyppul4o 162 2 I -PRON- PRP cord-125330-jyppul4o 162 3 and and CC cord-125330-jyppul4o 162 4 III III NNP cord-125330-jyppul4o 162 5 represent represent VBP cord-125330-jyppul4o 162 6 two two CD cord-125330-jyppul4o 162 7 distinct distinct JJ cord-125330-jyppul4o 162 8 absorbing absorbing JJ cord-125330-jyppul4o 162 9 phases phase NNS cord-125330-jyppul4o 162 10 , , , cord-125330-jyppul4o 162 11 since since IN cord-125330-jyppul4o 162 12 the the DT cord-125330-jyppul4o 162 13 system system NN cord-125330-jyppul4o 162 14 becomes become VBZ cord-125330-jyppul4o 162 15 frozen frozen JJ cord-125330-jyppul4o 162 16 due due IN cord-125330-jyppul4o 162 17 to to IN cord-125330-jyppul4o 162 18 the the DT cord-125330-jyppul4o 162 19 existence existence NN cord-125330-jyppul4o 162 20 of of IN cord-125330-jyppul4o 162 21 only only RB cord-125330-jyppul4o 162 22 one one CD cord-125330-jyppul4o 162 23 subpopulation subpopulation NN cord-125330-jyppul4o 162 24 for for IN cord-125330-jyppul4o 162 25 each each DT cord-125330-jyppul4o 162 26 case case NN cord-125330-jyppul4o 162 27 -this -this NN cord-125330-jyppul4o 162 28 means mean VBZ cord-125330-jyppul4o 162 29 that that IN cord-125330-jyppul4o 162 30 , , , cord-125330-jyppul4o 162 31 in in IN cord-125330-jyppul4o 162 32 order order NN cord-125330-jyppul4o 162 33 to to TO cord-125330-jyppul4o 162 34 describe describe VB cord-125330-jyppul4o 162 35 real real JJ cord-125330-jyppul4o 162 36 populational populational JJ cord-125330-jyppul4o 162 37 systems system NNS cord-125330-jyppul4o 162 38 , , , cord-125330-jyppul4o 162 39 the the DT cord-125330-jyppul4o 162 40 parameters parameter NNS cord-125330-jyppul4o 162 41 must must MD cord-125330-jyppul4o 162 42 be be VB cord-125330-jyppul4o 162 43 chosen choose VBN cord-125330-jyppul4o 162 44 so so IN cord-125330-jyppul4o 162 45 that that IN cord-125330-jyppul4o 162 46 the the DT cord-125330-jyppul4o 162 47 model model NN cord-125330-jyppul4o 162 48 falls fall VBZ cord-125330-jyppul4o 162 49 in in IN cord-125330-jyppul4o 162 50 region region NN cord-125330-jyppul4o 162 51 II II NNP cord-125330-jyppul4o 162 52 , , , cord-125330-jyppul4o 162 53 since since IN cord-125330-jyppul4o 162 54 populations population NNS cord-125330-jyppul4o 162 55 consisting consist VBG cord-125330-jyppul4o 162 56 solely solely RB cord-125330-jyppul4o 162 57 of of IN cord-125330-jyppul4o 162 58 nonconsumers nonconsumer NNS cord-125330-jyppul4o 162 59 or or CC cord-125330-jyppul4o 162 60 risk risk NN cord-125330-jyppul4o 162 61 drinkers drinker NNS cord-125330-jyppul4o 162 62 do do VBP cord-125330-jyppul4o 162 63 not not RB cord-125330-jyppul4o 162 64 represent represent VB cord-125330-jyppul4o 162 65 a a DT cord-125330-jyppul4o 162 66 realistic realistic JJ cord-125330-jyppul4o 162 67 entity entity NN cord-125330-jyppul4o 162 68 . . . cord-125330-jyppul4o 163 1 The the DT cord-125330-jyppul4o 163 2 critical critical JJ cord-125330-jyppul4o 163 3 points point NNS cord-125330-jyppul4o 163 4 of of IN cord-125330-jyppul4o 163 5 such such JJ cord-125330-jyppul4o 163 6 transitions transition NNS cord-125330-jyppul4o 163 7 were be VBD cord-125330-jyppul4o 163 8 obtained obtain VBN cord-125330-jyppul4o 163 9 analytically analytically RB cord-125330-jyppul4o 163 10 . . . cord-125330-jyppul4o 164 1 A a DT cord-125330-jyppul4o 164 2 comparison comparison NN cord-125330-jyppul4o 164 3 with with IN cord-125330-jyppul4o 164 4 available available JJ cord-125330-jyppul4o 164 5 data datum NNS cord-125330-jyppul4o 164 6 for for IN cord-125330-jyppul4o 164 7 Brazil Brazil NNP cord-125330-jyppul4o 164 8 's 's POS cord-125330-jyppul4o 164 9 extreme extreme JJ cord-125330-jyppul4o 164 10 alcohol alcohol NN cord-125330-jyppul4o 164 11 consumption consumption NN cord-125330-jyppul4o 164 12 for for IN cord-125330-jyppul4o 164 13 the the DT cord-125330-jyppul4o 164 14 past past JJ cord-125330-jyppul4o 164 15 decade decade NN cord-125330-jyppul4o 164 16 shows show VBZ cord-125330-jyppul4o 164 17 a a DT cord-125330-jyppul4o 164 18 good good JJ cord-125330-jyppul4o 164 19 qualitative qualitative JJ cord-125330-jyppul4o 164 20 agreement agreement NN cord-125330-jyppul4o 164 21 with with IN cord-125330-jyppul4o 164 22 the the DT cord-125330-jyppul4o 164 23 model model NN cord-125330-jyppul4o 164 24 , , , cord-125330-jyppul4o 164 25 with with IN cord-125330-jyppul4o 164 26 the the DT cord-125330-jyppul4o 164 27 chosen choose VBN cord-125330-jyppul4o 164 28 parameters parameter NNS cord-125330-jyppul4o 164 29 framed frame VBN cord-125330-jyppul4o 164 30 within within IN cord-125330-jyppul4o 164 31 its -PRON- PRP$ cord-125330-jyppul4o 164 32 realistic realistic JJ cord-125330-jyppul4o 164 33 boundaries boundary NNS cord-125330-jyppul4o 164 34 . . . cord-125330-jyppul4o 165 1 It -PRON- PRP cord-125330-jyppul4o 165 2 will will MD cord-125330-jyppul4o 165 3 be be VB cord-125330-jyppul4o 165 4 important important JJ cord-125330-jyppul4o 165 5 in in IN cord-125330-jyppul4o 165 6 a a DT cord-125330-jyppul4o 165 7 couple couple NN cord-125330-jyppul4o 165 8 of of IN cord-125330-jyppul4o 165 9 years year NNS cord-125330-jyppul4o 165 10 time time NN cord-125330-jyppul4o 165 11 to to TO cord-125330-jyppul4o 165 12 re re VB cord-125330-jyppul4o 165 13 - - VB cord-125330-jyppul4o 165 14 evaluate evaluate VB cord-125330-jyppul4o 165 15 these these DT cord-125330-jyppul4o 165 16 results result NNS cord-125330-jyppul4o 165 17 in in IN cord-125330-jyppul4o 165 18 the the DT cord-125330-jyppul4o 165 19 light light NN cord-125330-jyppul4o 165 20 of of IN cord-125330-jyppul4o 165 21 new new JJ cord-125330-jyppul4o 165 22 data datum NNS cord-125330-jyppul4o 165 23 comprising comprise VBG cord-125330-jyppul4o 165 24 years year NNS cord-125330-jyppul4o 165 25 2020 2020 CD cord-125330-jyppul4o 165 26 and and CC cord-125330-jyppul4o 165 27 2021 2021 CD cord-125330-jyppul4o 165 28 , , , cord-125330-jyppul4o 165 29 in in IN cord-125330-jyppul4o 165 30 order order NN cord-125330-jyppul4o 165 31 to to TO cord-125330-jyppul4o 165 32 verify verify VB cord-125330-jyppul4o 165 33 the the DT cord-125330-jyppul4o 165 34 direct direct JJ cord-125330-jyppul4o 165 35 effects effect NNS cord-125330-jyppul4o 165 36 of of IN cord-125330-jyppul4o 165 37 the the DT cord-125330-jyppul4o 165 38 COVID-19 covid-19 JJ cord-125330-jyppul4o 165 39 pandemic pandemic NN cord-125330-jyppul4o 165 40 in in IN cord-125330-jyppul4o 165 41 the the DT cord-125330-jyppul4o 165 42 Brazilian brazilian JJ cord-125330-jyppul4o 165 43 population population NN cord-125330-jyppul4o 165 44 's 's POS cord-125330-jyppul4o 165 45 alcohol alcohol NN cord-125330-jyppul4o 165 46 consumption consumption NN cord-125330-jyppul4o 165 47 . . . cord-125330-jyppul4o 166 1 An an DT cord-125330-jyppul4o 166 2 hypothesis hypothesis NN cord-125330-jyppul4o 166 3 to to TO cord-125330-jyppul4o 166 4 be be VB cord-125330-jyppul4o 166 5 tested test VBN cord-125330-jyppul4o 166 6 is be VBZ cord-125330-jyppul4o 166 7 a a DT cord-125330-jyppul4o 166 8 possible possible JJ cord-125330-jyppul4o 166 9 increase increase NN cord-125330-jyppul4o 166 10 in in IN cord-125330-jyppul4o 166 11 parameter parameter NN cord-125330-jyppul4o 166 12 α α NN cord-125330-jyppul4o 166 13 combined combine VBN cord-125330-jyppul4o 166 14 with with IN cord-125330-jyppul4o 166 15 a a DT cord-125330-jyppul4o 166 16 corresponding correspond VBG cord-125330-jyppul4o 166 17 decrease decrease NN cord-125330-jyppul4o 166 18 in in IN cord-125330-jyppul4o 166 19 the the DT cord-125330-jyppul4o 166 20 other other JJ cord-125330-jyppul4o 166 21 parameters parameter NNS cord-125330-jyppul4o 166 22 , , , cord-125330-jyppul4o 166 23 corresponding correspond VBG cord-125330-jyppul4o 166 24 to to IN cord-125330-jyppul4o 166 25 social social JJ cord-125330-jyppul4o 166 26 interactions interaction NNS cord-125330-jyppul4o 166 27 . . . cord-125330-jyppul4o 167 1 The the DT cord-125330-jyppul4o 167 2 phase phase NN cord-125330-jyppul4o 167 3 transitions transition NNS cord-125330-jyppul4o 167 4 observed observe VBN cord-125330-jyppul4o 167 5 in in IN cord-125330-jyppul4o 167 6 the the DT cord-125330-jyppul4o 167 7 model model NN cord-125330-jyppul4o 167 8 are be VBP cord-125330-jyppul4o 167 9 active active JJ cord-125330-jyppul4o 167 10 - - HYPH cord-125330-jyppul4o 167 11 absorbing absorb VBG cord-125330-jyppul4o 167 12 phase phase NN cord-125330-jyppul4o 167 13 transitions transition NNS cord-125330-jyppul4o 167 14 , , , cord-125330-jyppul4o 167 15 and and CC cord-125330-jyppul4o 167 16 the the DT cord-125330-jyppul4o 167 17 predicted predict VBN cord-125330-jyppul4o 167 18 critical critical JJ cord-125330-jyppul4o 167 19 exponent exponent NN cord-125330-jyppul4o 167 20 for for IN cord-125330-jyppul4o 167 21 the the DT cord-125330-jyppul4o 167 22 order order NN cord-125330-jyppul4o 167 23 parameter parameter NN cord-125330-jyppul4o 167 24 is be VBZ cord-125330-jyppul4o 167 25 1 1 CD cord-125330-jyppul4o 167 26 ( ( -LRB- cord-125330-jyppul4o 167 27 m m NNP cord-125330-jyppul4o 167 28 ∼ ∼ NNP cord-125330-jyppul4o 167 29 ( ( -LRB- cord-125330-jyppul4o 167 30 β−β β−β NNP cord-125330-jyppul4o 167 31 c c NNP cord-125330-jyppul4o 167 32 ) ) -RRB- cord-125330-jyppul4o 167 33 1 1 CD cord-125330-jyppul4o 167 34 ) ) -RRB- cord-125330-jyppul4o 167 35 as as IN cord-125330-jyppul4o 167 36 in in IN cord-125330-jyppul4o 167 37 the the DT cord-125330-jyppul4o 167 38 mean mean JJ cord-125330-jyppul4o 167 39 - - HYPH cord-125330-jyppul4o 167 40 field field NN cord-125330-jyppul4o 167 41 directed direct VBN cord-125330-jyppul4o 167 42 percolation percolation NN cord-125330-jyppul4o 168 1 , , , cord-125330-jyppul4o 168 2 that that DT cord-125330-jyppul4o 168 3 is be VBZ cord-125330-jyppul4o 168 4 the the DT cord-125330-jyppul4o 168 5 prototype prototype NN cord-125330-jyppul4o 168 6 of of IN cord-125330-jyppul4o 168 7 a a DT cord-125330-jyppul4o 168 8 phase phase NN cord-125330-jyppul4o 168 9 transition transition NN cord-125330-jyppul4o 168 10 to to IN cord-125330-jyppul4o 168 11 an an DT cord-125330-jyppul4o 168 12 absorbing absorb VBG cord-125330-jyppul4o 168 13 state state NN cord-125330-jyppul4o 168 14 [ [ -LRB- cord-125330-jyppul4o 168 15 30 30 CD cord-125330-jyppul4o 168 16 , , , cord-125330-jyppul4o 168 17 31 31 CD cord-125330-jyppul4o 168 18 ] ] -RRB- cord-125330-jyppul4o 168 19 . . . cord-125330-jyppul4o 169 1 It -PRON- PRP cord-125330-jyppul4o 169 2 would would MD cord-125330-jyppul4o 169 3 be be VB cord-125330-jyppul4o 169 4 interesting interesting JJ cord-125330-jyppul4o 169 5 to to TO cord-125330-jyppul4o 169 6 estimate estimate VB cord-125330-jyppul4o 169 7 numerically numerically RB cord-125330-jyppul4o 169 8 other other JJ cord-125330-jyppul4o 169 9 critical critical JJ cord-125330-jyppul4o 169 10 exponents exponent NNS cord-125330-jyppul4o 169 11 of of IN cord-125330-jyppul4o 169 12 the the DT cord-125330-jyppul4o 169 13 model model NN cord-125330-jyppul4o 169 14 , , , cord-125330-jyppul4o 169 15 as as RB cord-125330-jyppul4o 169 16 well well RB cord-125330-jyppul4o 169 17 as as IN cord-125330-jyppul4o 169 18 to to TO cord-125330-jyppul4o 169 19 simulate simulate VB cord-125330-jyppul4o 169 20 it -PRON- PRP cord-125330-jyppul4o 169 21 in in IN cord-125330-jyppul4o 169 22 regular regular JJ cord-125330-jyppul4o 169 23 d d JJ cord-125330-jyppul4o 169 24 - - HYPH cord-125330-jyppul4o 169 25 dimensional dimensional JJ cord-125330-jyppul4o 169 26 lattices lattice NNS cord-125330-jyppul4o 169 27 ( ( -LRB- cord-125330-jyppul4o 169 28 e.g. e.g. RB cord-125330-jyppul4o 169 29 square square JJ cord-125330-jyppul4o 169 30 and and CC cord-125330-jyppul4o 169 31 cubic cubic JJ cord-125330-jyppul4o 169 32 ) ) -RRB- cord-125330-jyppul4o 169 33 in in IN cord-125330-jyppul4o 169 34 order order NN cord-125330-jyppul4o 169 35 to to TO cord-125330-jyppul4o 169 36 obtain obtain VB cord-125330-jyppul4o 169 37 all all PDT cord-125330-jyppul4o 169 38 the the DT cord-125330-jyppul4o 169 39 critical critical JJ cord-125330-jyppul4o 169 40 exponents exponent NNS cord-125330-jyppul4o 169 41 . . . cord-125330-jyppul4o 170 1 This this DT cord-125330-jyppul4o 170 2 is be VBZ cord-125330-jyppul4o 170 3 important important JJ cord-125330-jyppul4o 170 4 to to TO cord-125330-jyppul4o 170 5 define define VB cord-125330-jyppul4o 170 6 precisely precisely RB cord-125330-jyppul4o 170 7 the the DT cord-125330-jyppul4o 170 8 universality universality NN cord-125330-jyppul4o 170 9 class class NN cord-125330-jyppul4o 170 10 of of IN cord-125330-jyppul4o 170 11 the the DT cord-125330-jyppul4o 170 12 model model NN cord-125330-jyppul4o 170 13 , , , cord-125330-jyppul4o 170 14 as as RB cord-125330-jyppul4o 170 15 well well RB cord-125330-jyppul4o 170 16 as as IN cord-125330-jyppul4o 170 17 its -PRON- PRP$ cord-125330-jyppul4o 170 18 upper upper JJ cord-125330-jyppul4o 170 19 critical critical JJ cord-125330-jyppul4o 170 20 dimension dimension NN cord-125330-jyppul4o 170 21 . . . cord-125330-jyppul4o 171 1 This this DT cord-125330-jyppul4o 171 2 extension extension NN cord-125330-jyppul4o 171 3 is be VBZ cord-125330-jyppul4o 171 4 left leave VBN cord-125330-jyppul4o 171 5 for for IN cord-125330-jyppul4o 171 6 a a DT cord-125330-jyppul4o 171 7 future future JJ cord-125330-jyppul4o 171 8 work work NN cord-125330-jyppul4o 171 9 . . . cord-125330-jyppul4o 172 1 Furthermore furthermore RB cord-125330-jyppul4o 172 2 , , , cord-125330-jyppul4o 172 3 it -PRON- PRP cord-125330-jyppul4o 172 4 can can MD cord-125330-jyppul4o 172 5 also also RB cord-125330-jyppul4o 172 6 be be VB cord-125330-jyppul4o 172 7 considered consider VBN cord-125330-jyppul4o 172 8 the the DT cord-125330-jyppul4o 172 9 inclusion inclusion NN cord-125330-jyppul4o 172 10 of of IN cord-125330-jyppul4o 172 11 heterogeneities heterogeneity NNS cord-125330-jyppul4o 172 12 in in IN cord-125330-jyppul4o 172 13 the the DT cord-125330-jyppul4o 172 14 population population NN cord-125330-jyppul4o 172 15 , , , cord-125330-jyppul4o 172 16 like like IN cord-125330-jyppul4o 172 17 agents agent NNS cord-125330-jyppul4o 172 18 ' ' POS cord-125330-jyppul4o 172 19 conviction conviction NN cord-125330-jyppul4o 172 20 [ [ -LRB- cord-125330-jyppul4o 172 21 32 32 CD cord-125330-jyppul4o 172 22 ] ] -RRB- cord-125330-jyppul4o 172 23 , , , cord-125330-jyppul4o 172 24 time time NN cord-125330-jyppul4o 172 25 - - HYPH cord-125330-jyppul4o 172 26 dependent dependent JJ cord-125330-jyppul4o 172 27 transition transition NN cord-125330-jyppul4o 172 28 rates rate NNS cord-125330-jyppul4o 172 29 [ [ -LRB- cord-125330-jyppul4o 172 30 33 33 CD cord-125330-jyppul4o 172 31 ] ] -RRB- cord-125330-jyppul4o 172 32 , , , cord-125330-jyppul4o 172 33 inflexibility inflexibility NN cord-125330-jyppul4o 172 34 [ [ -LRB- cord-125330-jyppul4o 172 35 34 34 CD cord-125330-jyppul4o 172 36 ] ] -RRB- cord-125330-jyppul4o 172 37 , , , cord-125330-jyppul4o 172 38 etc etc FW cord-125330-jyppul4o 172 39 . . . cord-125330-jyppul4o 172 40 _SP cord-125330-jyppul4o 173 1 The the DT cord-125330-jyppul4o 173 2 mathematical mathematical JJ cord-125330-jyppul4o 173 3 theory theory NN cord-125330-jyppul4o 173 4 of of IN cord-125330-jyppul4o 173 5 infectious infectious JJ cord-125330-jyppul4o 173 6 diseases disease NNS cord-125330-jyppul4o 173 7 and and CC cord-125330-jyppul4o 173 8 its -PRON- PRP$ cord-125330-jyppul4o 173 9 applications application NNS cord-125330-jyppul4o 173 10 , , , cord-125330-jyppul4o 173 11 Charles Charles NNP cord-125330-jyppul4o 173 12 Griffin Griffin NNP cord-125330-jyppul4o 173 13 & & CC cord-125330-jyppul4o 173 14 Company Company NNP cord-125330-jyppul4o 173 15 Ltd Ltd NNP cord-125330-jyppul4o 173 16 , , , cord-125330-jyppul4o 173 17 5a 5a CD cord-125330-jyppul4o 173 18 Crendon Crendon NNP cord-125330-jyppul4o 173 19 Street Street NNP cord-125330-jyppul4o 173 20 , , , cord-125330-jyppul4o 173 21 High High NNP cord-125330-jyppul4o 173 22 Wycombe Wycombe NNP cord-125330-jyppul4o 173 23 , , , cord-125330-jyppul4o 173 24 Bucks Bucks NNP cord-125330-jyppul4o 173 25 HP13 HP13 NNP cord-125330-jyppul4o 173 26 6LE 6LE NNP cord-125330-jyppul4o 173 27 Epidemics Epidemics NNPS cord-125330-jyppul4o 173 28 and and CC cord-125330-jyppul4o 173 29 rumours rumour NNS cord-125330-jyppul4o 173 30 Analysing analyse VBG cord-125330-jyppul4o 173 31 the the DT cord-125330-jyppul4o 173 32 spanish spanish JJ cord-125330-jyppul4o 173 33 smoke smoke NN cord-125330-jyppul4o 173 34 - - HYPH cord-125330-jyppul4o 173 35 free free JJ cord-125330-jyppul4o 173 36 legislation legislation NN cord-125330-jyppul4o 173 37 of of IN cord-125330-jyppul4o 173 38 2006 2006 CD cord-125330-jyppul4o 173 39 : : : cord-125330-jyppul4o 173 40 a a DT cord-125330-jyppul4o 173 41 new new JJ cord-125330-jyppul4o 173 42 method method NN cord-125330-jyppul4o 173 43 to to TO cord-125330-jyppul4o 173 44 quantify quantify VB cord-125330-jyppul4o 173 45 its -PRON- PRP$ cord-125330-jyppul4o 173 46 impact impact NN cord-125330-jyppul4o 173 47 using use VBG cord-125330-jyppul4o 173 48 a a DT cord-125330-jyppul4o 173 49 dynamic dynamic JJ cord-125330-jyppul4o 173 50 model model NN cord-125330-jyppul4o 173 51 Predicting predict VBG cord-125330-jyppul4o 173 52 cocaine cocaine NN cord-125330-jyppul4o 173 53 consumption consumption NN cord-125330-jyppul4o 173 54 in in IN cord-125330-jyppul4o 173 55 spain spain NNP cord-125330-jyppul4o 173 56 : : : cord-125330-jyppul4o 174 1 A a DT cord-125330-jyppul4o 174 2 mathematical mathematical JJ cord-125330-jyppul4o 174 3 modelling modelling NN cord-125330-jyppul4o 174 4 approach approach NN cord-125330-jyppul4o 174 5 Alcohol alcohol NN cord-125330-jyppul4o 174 6 consumption consumption NN cord-125330-jyppul4o 174 7 in in IN cord-125330-jyppul4o 174 8 spain spain NNP cord-125330-jyppul4o 174 9 and and CC cord-125330-jyppul4o 174 10 its -PRON- PRP$ cord-125330-jyppul4o 174 11 economic economic JJ cord-125330-jyppul4o 174 12 cost cost NN cord-125330-jyppul4o 174 13 : : : cord-125330-jyppul4o 174 14 a a DT cord-125330-jyppul4o 174 15 mathematical mathematical JJ cord-125330-jyppul4o 174 16 modeling modeling NN cord-125330-jyppul4o 174 17 approach approach NN cord-125330-jyppul4o 174 18 Modeling model VBG cord-125330-jyppul4o 174 19 the the DT cord-125330-jyppul4o 174 20 obesity obesity NN cord-125330-jyppul4o 174 21 epidemic epidemic NN cord-125330-jyppul4o 174 22 : : : cord-125330-jyppul4o 174 23 social social JJ cord-125330-jyppul4o 174 24 contagion contagion NN cord-125330-jyppul4o 174 25 and and CC cord-125330-jyppul4o 174 26 its -PRON- PRP$ cord-125330-jyppul4o 174 27 implications implication NNS cord-125330-jyppul4o 174 28 for for IN cord-125330-jyppul4o 174 29 control control NN cord-125330-jyppul4o 175 1 Can Can MD cord-125330-jyppul4o 175 2 honesty honesty NN cord-125330-jyppul4o 175 3 survive survive VB cord-125330-jyppul4o 175 4 in in IN cord-125330-jyppul4o 175 5 a a DT cord-125330-jyppul4o 175 6 corrupt corrupt JJ cord-125330-jyppul4o 175 7 parliament parliament NN cord-125330-jyppul4o 175 8 ? ? . cord-125330-jyppul4o 176 1 Evolution evolution NN cord-125330-jyppul4o 176 2 of of IN cord-125330-jyppul4o 176 3 tag tag NN cord-125330-jyppul4o 176 4 - - HYPH cord-125330-jyppul4o 176 5 based base VBN cord-125330-jyppul4o 176 6 cooperation cooperation NN cord-125330-jyppul4o 176 7 on on IN cord-125330-jyppul4o 176 8 erdős erdős JJ cord-125330-jyppul4o 176 9 - - HYPH cord-125330-jyppul4o 176 10 rényi rényi NNP cord-125330-jyppul4o 176 11 random random JJ cord-125330-jyppul4o 176 12 graphs graph NNS cord-125330-jyppul4o 177 1 Encouraging encourage VBG cord-125330-jyppul4o 177 2 moderation moderation NN cord-125330-jyppul4o 177 3 : : : cord-125330-jyppul4o 177 4 clues clue NNS cord-125330-jyppul4o 177 5 from from IN cord-125330-jyppul4o 177 6 a a DT cord-125330-jyppul4o 177 7 simple simple JJ cord-125330-jyppul4o 177 8 model model NN cord-125330-jyppul4o 177 9 of of IN cord-125330-jyppul4o 177 10 ideological ideological JJ cord-125330-jyppul4o 177 11 conflict conflict NN cord-125330-jyppul4o 178 1 The the DT cord-125330-jyppul4o 178 2 dynamics dynamic NNS cord-125330-jyppul4o 178 3 of of IN cord-125330-jyppul4o 178 4 the the DT cord-125330-jyppul4o 178 5 rise rise NN cord-125330-jyppul4o 178 6 and and CC cord-125330-jyppul4o 178 7 fall fall NN cord-125330-jyppul4o 178 8 of of IN cord-125330-jyppul4o 178 9 empires empire NNS cord-125330-jyppul4o 178 10 Dynamics dynamic NNS cord-125330-jyppul4o 178 11 of of IN cord-125330-jyppul4o 178 12 tax tax NN cord-125330-jyppul4o 178 13 evasion evasion NN cord-125330-jyppul4o 178 14 through through IN cord-125330-jyppul4o 178 15 an an DT cord-125330-jyppul4o 178 16 epidemic epidemic NN cord-125330-jyppul4o 178 17 - - HYPH cord-125330-jyppul4o 178 18 like like JJ cord-125330-jyppul4o 178 19 model model NN cord-125330-jyppul4o 178 20 Modeling model VBG cord-125330-jyppul4o 178 21 radicalization radicalization NN cord-125330-jyppul4o 178 22 phenomena phenomenon NNS cord-125330-jyppul4o 178 23 in in IN cord-125330-jyppul4o 178 24 heterogeneous heterogeneous JJ cord-125330-jyppul4o 178 25 populations population NNS cord-125330-jyppul4o 178 26 Social social JJ cord-125330-jyppul4o 178 27 epidemiology epidemiology NN cord-125330-jyppul4o 178 28 and and CC cord-125330-jyppul4o 178 29 complex complex JJ cord-125330-jyppul4o 178 30 system system NN cord-125330-jyppul4o 178 31 dynamic dynamic JJ cord-125330-jyppul4o 178 32 modelling modelling NN cord-125330-jyppul4o 178 33 as as IN cord-125330-jyppul4o 178 34 applied apply VBN cord-125330-jyppul4o 178 35 to to IN cord-125330-jyppul4o 178 36 health health NN cord-125330-jyppul4o 178 37 behaviour behaviour NN cord-125330-jyppul4o 178 38 and and CC cord-125330-jyppul4o 178 39 drug drug NN cord-125330-jyppul4o 178 40 use use VBP cord-125330-jyppul4o 178 41 research research NN cord-125330-jyppul4o 178 42 Agent Agent NNP cord-125330-jyppul4o 178 43 - - HYPH cord-125330-jyppul4o 178 44 based base VBN cord-125330-jyppul4o 178 45 modeling modeling NN cord-125330-jyppul4o 178 46 of of IN cord-125330-jyppul4o 178 47 drinking drink VBG cord-125330-jyppul4o 178 48 behavior behavior NN cord-125330-jyppul4o 178 49 : : : cord-125330-jyppul4o 178 50 a a DT cord-125330-jyppul4o 178 51 preliminary preliminary JJ cord-125330-jyppul4o 178 52 model model NN cord-125330-jyppul4o 178 53 and and CC cord-125330-jyppul4o 178 54 potential potential JJ cord-125330-jyppul4o 178 55 applications application NNS cord-125330-jyppul4o 178 56 to to IN cord-125330-jyppul4o 178 57 theory theory NN cord-125330-jyppul4o 178 58 and and CC cord-125330-jyppul4o 178 59 practice practice VB cord-125330-jyppul4o 178 60 World World NNP cord-125330-jyppul4o 178 61 health health NN cord-125330-jyppul4o 178 62 statistics statistic NNS cord-125330-jyppul4o 178 63 2018 2018 CD cord-125330-jyppul4o 178 64 : : : cord-125330-jyppul4o 178 65 monitoring monitor VBG cord-125330-jyppul4o 178 66 health health NN cord-125330-jyppul4o 178 67 for for IN cord-125330-jyppul4o 178 68 the the DT cord-125330-jyppul4o 178 69 sdgs sdgs NNP cord-125330-jyppul4o 178 70 , , , cord-125330-jyppul4o 178 71 sustainable sustainable JJ cord-125330-jyppul4o 178 72 development development NN cord-125330-jyppul4o 178 73 goals goal NNS cord-125330-jyppul4o 179 1 The the DT cord-125330-jyppul4o 179 2 prevalence prevalence NN cord-125330-jyppul4o 179 3 and and CC cord-125330-jyppul4o 179 4 impact impact NN cord-125330-jyppul4o 179 5 of of IN cord-125330-jyppul4o 179 6 alcohol alcohol NN cord-125330-jyppul4o 179 7 problems problem NNS cord-125330-jyppul4o 179 8 in in IN cord-125330-jyppul4o 179 9 major major JJ cord-125330-jyppul4o 179 10 depression depression NN cord-125330-jyppul4o 179 11 : : : cord-125330-jyppul4o 179 12 a a DT cord-125330-jyppul4o 179 13 systematic systematic JJ cord-125330-jyppul4o 179 14 review review NN cord-125330-jyppul4o 179 15 Bilinski Bilinski NNP cord-125330-jyppul4o 179 16 , , , cord-125330-jyppul4o 179 17 Alcohol Alcohol NNP cord-125330-jyppul4o 179 18 consumption consumption NN cord-125330-jyppul4o 179 19 reported report VBN cord-125330-jyppul4o 179 20 during during IN cord-125330-jyppul4o 179 21 the the DT cord-125330-jyppul4o 179 22 covid-19 covid-19 CD cord-125330-jyppul4o 179 23 pandemic pandemic NN cord-125330-jyppul4o 179 24 : : : cord-125330-jyppul4o 179 25 The the DT cord-125330-jyppul4o 179 26 initial initial JJ cord-125330-jyppul4o 179 27 stage stage NN cord-125330-jyppul4o 179 28 Alcohol alcohol NN cord-125330-jyppul4o 179 29 use use NN cord-125330-jyppul4o 179 30 and and CC cord-125330-jyppul4o 179 31 misuse misuse NN cord-125330-jyppul4o 179 32 during during IN cord-125330-jyppul4o 179 33 the the DT cord-125330-jyppul4o 179 34 covid-19 covid-19 CD cord-125330-jyppul4o 179 35 pandemic pandemic NN cord-125330-jyppul4o 179 36 : : : cord-125330-jyppul4o 179 37 a a DT cord-125330-jyppul4o 179 38 potential potential JJ cord-125330-jyppul4o 179 39 public public JJ cord-125330-jyppul4o 179 40 health health NN cord-125330-jyppul4o 179 41 crisis crisis NN cord-125330-jyppul4o 179 42 ? ? . cord-125330-jyppul4o 180 1 Complicated complicated JJ cord-125330-jyppul4o 180 2 alcohol alcohol NN cord-125330-jyppul4o 180 3 withdrawalan withdrawalan IN cord-125330-jyppul4o 180 4 unintended unintended JJ cord-125330-jyppul4o 180 5 consequence consequence NN cord-125330-jyppul4o 180 6 of of IN cord-125330-jyppul4o 180 7 covid-19 covid-19 JJ cord-125330-jyppul4o 180 8 lockdown lockdown NN cord-125330-jyppul4o 180 9 Alcohol Alcohol NNP cord-125330-jyppul4o 180 10 use use NN cord-125330-jyppul4o 180 11 in in IN cord-125330-jyppul4o 180 12 times time NNS cord-125330-jyppul4o 180 13 of of IN cord-125330-jyppul4o 180 14 the the DT cord-125330-jyppul4o 180 15 covid covid NNP cord-125330-jyppul4o 180 16 19 19 CD cord-125330-jyppul4o 180 17 : : : cord-125330-jyppul4o 180 18 Implications implication NNS cord-125330-jyppul4o 180 19 for for IN cord-125330-jyppul4o 180 20 monitoring monitoring NN cord-125330-jyppul4o 180 21 and and CC cord-125330-jyppul4o 180 22 policy policy NN cord-125330-jyppul4o 180 23 Modelling modelling NN cord-125330-jyppul4o 180 24 alcohol alcohol NN cord-125330-jyppul4o 180 25 problems problem NNS cord-125330-jyppul4o 180 26 : : : cord-125330-jyppul4o 180 27 total total JJ cord-125330-jyppul4o 180 28 recovery recovery NN cord-125330-jyppul4o 180 29 Mohyud Mohyud NNP cord-125330-jyppul4o 180 30 - - HYPH cord-125330-jyppul4o 180 31 Din Din NNP cord-125330-jyppul4o 180 32 , , , cord-125330-jyppul4o 180 33 A a DT cord-125330-jyppul4o 180 34 conformable conformable JJ cord-125330-jyppul4o 180 35 mathematical mathematical JJ cord-125330-jyppul4o 180 36 model model NN cord-125330-jyppul4o 180 37 for for IN cord-125330-jyppul4o 180 38 alcohol alcohol NN cord-125330-jyppul4o 180 39 consumption consumption NN cord-125330-jyppul4o 180 40 in in IN cord-125330-jyppul4o 180 41 spain spain NNP cord-125330-jyppul4o 180 42 Dynamics Dynamics NNPS cord-125330-jyppul4o 180 43 of of IN cord-125330-jyppul4o 180 44 an an DT cord-125330-jyppul4o 180 45 alcoholism alcoholism NN cord-125330-jyppul4o 180 46 model model NN cord-125330-jyppul4o 180 47 on on IN cord-125330-jyppul4o 180 48 complex complex JJ cord-125330-jyppul4o 180 49 networks network NNS cord-125330-jyppul4o 180 50 with with IN cord-125330-jyppul4o 180 51 community community NN cord-125330-jyppul4o 180 52 structure structure NN cord-125330-jyppul4o 180 53 and and CC cord-125330-jyppul4o 180 54 voluntary voluntary JJ cord-125330-jyppul4o 180 55 drinking drinking NN cord-125330-jyppul4o 180 56 Modeling modeling NN cord-125330-jyppul4o 180 57 binge binge NN cord-125330-jyppul4o 180 58 drinking drink VBG cord-125330-jyppul4o 180 59 Drinking drink VBG cord-125330-jyppul4o 180 60 as as IN cord-125330-jyppul4o 180 61 an an DT cord-125330-jyppul4o 180 62 epidemica epidemica JJ cord-125330-jyppul4o 180 63 simple simple JJ cord-125330-jyppul4o 180 64 mathematical mathematical JJ cord-125330-jyppul4o 180 65 model model NN cord-125330-jyppul4o 180 66 with with IN cord-125330-jyppul4o 180 67 recovery recovery NN cord-125330-jyppul4o 180 68 and and CC cord-125330-jyppul4o 180 69 relapse relapse NN cord-125330-jyppul4o 180 70 , , , cord-125330-jyppul4o 180 71 in in IN cord-125330-jyppul4o 180 72 : : : cord-125330-jyppul4o 180 73 Therapist Therapist NNP cord-125330-jyppul4o 180 74 's 's POS cord-125330-jyppul4o 180 75 Guide Guide NNP cord-125330-jyppul4o 180 76 to to IN cord-125330-jyppul4o 180 77 Evidence evidence NN cord-125330-jyppul4o 180 78 - - HYPH cord-125330-jyppul4o 180 79 Based base VBN cord-125330-jyppul4o 180 80 Relapse Relapse NNP cord-125330-jyppul4o 180 81 Prevention Prevention NNP cord-125330-jyppul4o 180 82 Vigitel Vigitel NNP cord-125330-jyppul4o 180 83 brasil brasil NNP cord-125330-jyppul4o 180 84 2019 2019 CD cord-125330-jyppul4o 180 85 : : : cord-125330-jyppul4o 181 1 vigilncia vigilncia NNP cord-125330-jyppul4o 181 2 de de NNP cord-125330-jyppul4o 181 3 fatores fatores NNP cord-125330-jyppul4o 181 4 de de NNP cord-125330-jyppul4o 181 5 risco risco NNP cord-125330-jyppul4o 181 6 e e NNP cord-125330-jyppul4o 181 7 proteo proteo NNP cord-125330-jyppul4o 181 8 para para NNP cord-125330-jyppul4o 181 9 doenas doenas NNP cord-125330-jyppul4o 181 10 crnicas crnicas NNP cord-125330-jyppul4o 182 1 por por NNP cord-125330-jyppul4o 182 2 inqurito inqurito NNP cord-125330-jyppul4o 182 3 telefnico telefnico NNP cord-125330-jyppul4o 182 4 : : : cord-125330-jyppul4o 183 1 estimativas estimativas NNP cord-125330-jyppul4o 183 2 sobre sobre NNP cord-125330-jyppul4o 183 3 frequncia frequncia NNP cord-125330-jyppul4o 183 4 e e NNP cord-125330-jyppul4o 183 5 distribuio distribuio NNP cord-125330-jyppul4o 184 1 sociodemogrfica sociodemogrfica NNP cord-125330-jyppul4o 184 2 de de NNP cord-125330-jyppul4o 184 3 fatores fatores NNP cord-125330-jyppul4o 184 4 de de NNP cord-125330-jyppul4o 184 5 risco risco NNP cord-125330-jyppul4o 184 6 e e NNP cord-125330-jyppul4o 184 7 proteo proteo NNP cord-125330-jyppul4o 184 8 para para NNP cord-125330-jyppul4o 184 9 doenas doenas NNP cord-125330-jyppul4o 184 10 crnicas crnicas NNP cord-125330-jyppul4o 184 11 nas nas NNP cord-125330-jyppul4o 184 12 capitais capitais NNP cord-125330-jyppul4o 184 13 dos dos NNP cord-125330-jyppul4o 184 14 26 26 CD cord-125330-jyppul4o 184 15 estados estados NNP cord-125330-jyppul4o 185 1 brasileiros brasileiros NNP cord-125330-jyppul4o 185 2 e e NNP cord-125330-jyppul4o 186 1 no no DT cord-125330-jyppul4o 186 2 distrito distrito NNP cord-125330-jyppul4o 186 3 federal federal NNP cord-125330-jyppul4o 186 4 em -PRON- NNP cord-125330-jyppul4o 186 5 2019 2019 CD cord-125330-jyppul4o 187 1 Covid-19 Covid-19 NNP cord-125330-jyppul4o 187 2 spreading spread VBG cord-125330-jyppul4o 187 3 in in IN cord-125330-jyppul4o 187 4 rio rio NNP cord-125330-jyppul4o 187 5 de de NNP cord-125330-jyppul4o 187 6 janeiro janeiro NNP cord-125330-jyppul4o 187 7 , , , cord-125330-jyppul4o 187 8 brazil brazil NNP cord-125330-jyppul4o 187 9 : : : cord-125330-jyppul4o 187 10 do do VB cord-125330-jyppul4o 187 11 the the DT cord-125330-jyppul4o 187 12 policies policy NNS cord-125330-jyppul4o 187 13 of of IN cord-125330-jyppul4o 187 14 social social JJ cord-125330-jyppul4o 187 15 isolation isolation NN cord-125330-jyppul4o 187 16 really really RB cord-125330-jyppul4o 187 17 work work VBP cord-125330-jyppul4o 187 18 ? ? . cord-125330-jyppul4o 188 1 Survival survival NN cord-125330-jyppul4o 188 2 of of IN cord-125330-jyppul4o 188 3 the the DT cord-125330-jyppul4o 188 4 scarcer scarcer NN cord-125330-jyppul4o 188 5 in in IN cord-125330-jyppul4o 188 6 space space NN cord-125330-jyppul4o 189 1 Symbiotic symbiotic JJ cord-125330-jyppul4o 189 2 two two CD cord-125330-jyppul4o 189 3 - - HYPH cord-125330-jyppul4o 189 4 species species NN cord-125330-jyppul4o 189 5 contact contact NN cord-125330-jyppul4o 189 6 process process NN cord-125330-jyppul4o 190 1 Nonequilibrium Nonequilibrium NNP cord-125330-jyppul4o 190 2 phase phase NN cord-125330-jyppul4o 190 3 transitions transition NNS cord-125330-jyppul4o 190 4 in in IN cord-125330-jyppul4o 190 5 lattice lattice NN cord-125330-jyppul4o 190 6 models model NNS cord-125330-jyppul4o 190 7 Non non JJ cord-125330-jyppul4o 190 8 - - JJ cord-125330-jyppul4o 190 9 equilibrium equilibrium JJ cord-125330-jyppul4o 190 10 critical critical JJ cord-125330-jyppul4o 190 11 phenomena phenomena NN cord-125330-jyppul4o 190 12 and and CC cord-125330-jyppul4o 190 13 phase phase NN cord-125330-jyppul4o 190 14 transitions transition NNS cord-125330-jyppul4o 190 15 into into IN cord-125330-jyppul4o 190 16 absorbing absorb VBG cord-125330-jyppul4o 190 17 states state NNS cord-125330-jyppul4o 190 18 Competition Competition NNP cord-125330-jyppul4o 190 19 among among IN cord-125330-jyppul4o 190 20 reputations reputation NNS cord-125330-jyppul4o 190 21 in in IN cord-125330-jyppul4o 190 22 the the DT cord-125330-jyppul4o 190 23 2d 2d NNP cord-125330-jyppul4o 190 24 sznajd sznajd NNP cord-125330-jyppul4o 190 25 model model NN cord-125330-jyppul4o 190 26 : : : cord-125330-jyppul4o 191 1 Spontaneous spontaneous JJ cord-125330-jyppul4o 191 2 emergence emergence NN cord-125330-jyppul4o 191 3 of of IN cord-125330-jyppul4o 191 4 democratic democratic JJ cord-125330-jyppul4o 191 5 states state NNS cord-125330-jyppul4o 191 6 Critical critical JJ cord-125330-jyppul4o 191 7 behavior behavior NN cord-125330-jyppul4o 191 8 of of IN cord-125330-jyppul4o 191 9 the the DT cord-125330-jyppul4o 191 10 sis sis NNP cord-125330-jyppul4o 191 11 epidemic epidemic NN cord-125330-jyppul4o 191 12 model model NN cord-125330-jyppul4o 191 13 with with IN cord-125330-jyppul4o 191 14 time time NN cord-125330-jyppul4o 191 15 - - HYPH cord-125330-jyppul4o 191 16 dependent dependent JJ cord-125330-jyppul4o 191 17 infection infection NN cord-125330-jyppul4o 191 18 rate rate NN cord-125330-jyppul4o 191 19 Inflexibility inflexibility NN cord-125330-jyppul4o 191 20 and and CC cord-125330-jyppul4o 191 21 independence independence NN cord-125330-jyppul4o 191 22 : : : cord-125330-jyppul4o 192 1 Phase phase NN cord-125330-jyppul4o 192 2 transitions transition NNS cord-125330-jyppul4o 192 3 in in IN cord-125330-jyppul4o 192 4 the the DT cord-125330-jyppul4o 192 5 majority majority NN cord-125330-jyppul4o 192 6 - - HYPH cord-125330-jyppul4o 192 7 rule rule NN cord-125330-jyppul4o 192 8 model model NN cord-125330-jyppul4o 193 1 The the DT cord-125330-jyppul4o 193 2 authors author NNS cord-125330-jyppul4o 193 3 thank thank VBP cord-125330-jyppul4o 193 4 Ronald Ronald NNP cord-125330-jyppul4o 193 5 Dickman Dickman NNP cord-125330-jyppul4o 193 6 for for IN cord-125330-jyppul4o 193 7 some some DT cord-125330-jyppul4o 193 8 suggestions suggestion NNS cord-125330-jyppul4o 193 9 . . . cord-125330-jyppul4o 194 1 Financial financial JJ cord-125330-jyppul4o 194 2 support support NN cord-125330-jyppul4o 194 3 from from IN cord-125330-jyppul4o 194 4 the the DT cord-125330-jyppul4o 194 5 Brazilian brazilian JJ cord-125330-jyppul4o 194 6 scientific scientific JJ cord-125330-jyppul4o 194 7 funding funding NN cord-125330-jyppul4o 194 8 agencies agency NNS cord-125330-jyppul4o 194 9 CNPq CNPq NNP cord-125330-jyppul4o 194 10 ( ( -LRB- cord-125330-jyppul4o 194 11 Grants grant NNS cord-125330-jyppul4o 194 12 303025/2017- 303025/2017- CD