id sid tid token lemma pos cord-329357-ujh2nmh5 1 1 key key NN cord-329357-ujh2nmh5 1 2 : : : cord-329357-ujh2nmh5 2 1 cord-329357-ujh2nmh5 cord-329357-ujh2nmh5 JJ cord-329357-ujh2nmh5 2 2 authors author NNS cord-329357-ujh2nmh5 2 3 : : : cord-329357-ujh2nmh5 2 4 Ben Ben NNP cord-329357-ujh2nmh5 2 5 Miled Miled NNP cord-329357-ujh2nmh5 2 6 , , , cord-329357-ujh2nmh5 2 7 S. S. NNP cord-329357-ujh2nmh5 2 8 ; ; : cord-329357-ujh2nmh5 2 9 Kebir Kebir NNP cord-329357-ujh2nmh5 2 10 , , , cord-329357-ujh2nmh5 2 11 A. a. NN cord-329357-ujh2nmh5 2 12 title title NN cord-329357-ujh2nmh5 2 13 : : : cord-329357-ujh2nmh5 2 14 Simulations simulation NNS cord-329357-ujh2nmh5 2 15 of of IN cord-329357-ujh2nmh5 2 16 the the DT cord-329357-ujh2nmh5 2 17 spread spread NN cord-329357-ujh2nmh5 2 18 of of IN cord-329357-ujh2nmh5 2 19 COVID-19 covid-19 NN cord-329357-ujh2nmh5 2 20 and and CC cord-329357-ujh2nmh5 2 21 control control NN cord-329357-ujh2nmh5 2 22 policies policy NNS cord-329357-ujh2nmh5 2 23 in in IN cord-329357-ujh2nmh5 2 24 Tunisia Tunisia NNP cord-329357-ujh2nmh5 2 25 date date NN cord-329357-ujh2nmh5 2 26 : : : cord-329357-ujh2nmh5 2 27 2020 2020 CD cord-329357-ujh2nmh5 2 28 - - HYPH cord-329357-ujh2nmh5 2 29 05 05 CD cord-329357-ujh2nmh5 2 30 - - HYPH cord-329357-ujh2nmh5 2 31 06 06 CD cord-329357-ujh2nmh5 2 32 journal journal NN cord-329357-ujh2nmh5 2 33 : : : cord-329357-ujh2nmh5 2 34 nan nan NNP cord-329357-ujh2nmh5 2 35 DOI DOI NNP cord-329357-ujh2nmh5 2 36 : : : cord-329357-ujh2nmh5 3 1 10.1101/2020.05.02.20088492 10.1101/2020.05.02.20088492 CD cord-329357-ujh2nmh5 3 2 sha sha NN cord-329357-ujh2nmh5 3 3 : : : cord-329357-ujh2nmh5 3 4 eb379c023fe78249f95b8219f998bffeb7e9fbe3 eb379c023fe78249f95b8219f998bffeb7e9fbe3 . cord-329357-ujh2nmh5 4 1 doc_id doc_id CD cord-329357-ujh2nmh5 4 2 : : : cord-329357-ujh2nmh5 4 3 329357 329357 CD cord-329357-ujh2nmh5 4 4 cord_uid cord_uid NNS cord-329357-ujh2nmh5 4 5 : : : cord-329357-ujh2nmh5 4 6 ujh2nmh5 ujh2nmh5 ADD cord-329357-ujh2nmh5 5 1 We -PRON- PRP cord-329357-ujh2nmh5 5 2 develop develop VBP cord-329357-ujh2nmh5 5 3 and and CC cord-329357-ujh2nmh5 5 4 analyze analyze VB cord-329357-ujh2nmh5 5 5 in in IN cord-329357-ujh2nmh5 5 6 this this DT cord-329357-ujh2nmh5 5 7 work work NN cord-329357-ujh2nmh5 5 8 an an DT cord-329357-ujh2nmh5 5 9 epidemiological epidemiological JJ cord-329357-ujh2nmh5 5 10 model model NN cord-329357-ujh2nmh5 5 11 for for IN cord-329357-ujh2nmh5 5 12 COVID-19 COVID-19 NNP cord-329357-ujh2nmh5 5 13 using use VBG cord-329357-ujh2nmh5 5 14 Tunisian tunisian JJ cord-329357-ujh2nmh5 5 15 data datum NNS cord-329357-ujh2nmh5 5 16 . . . cord-329357-ujh2nmh5 6 1 Our -PRON- PRP$ cord-329357-ujh2nmh5 6 2 aims aim NNS cord-329357-ujh2nmh5 6 3 are be VBP cord-329357-ujh2nmh5 6 4 first first JJ cord-329357-ujh2nmh5 6 5 to to TO cord-329357-ujh2nmh5 6 6 evaluate evaluate VB cord-329357-ujh2nmh5 6 7 Tunisian tunisian JJ cord-329357-ujh2nmh5 6 8 control control NN cord-329357-ujh2nmh5 6 9 policies policy NNS cord-329357-ujh2nmh5 6 10 for for IN cord-329357-ujh2nmh5 6 11 COVID-19 covid-19 NN cord-329357-ujh2nmh5 6 12 and and CC cord-329357-ujh2nmh5 6 13 secondly secondly RB cord-329357-ujh2nmh5 6 14 to to TO cord-329357-ujh2nmh5 6 15 understand understand VB cord-329357-ujh2nmh5 6 16 the the DT cord-329357-ujh2nmh5 6 17 effect effect NN cord-329357-ujh2nmh5 6 18 of of IN cord-329357-ujh2nmh5 6 19 different different JJ cord-329357-ujh2nmh5 6 20 screening screening NN cord-329357-ujh2nmh5 6 21 , , , cord-329357-ujh2nmh5 6 22 quarantine quarantine NN cord-329357-ujh2nmh5 6 23 and and CC cord-329357-ujh2nmh5 6 24 containment containment NN cord-329357-ujh2nmh5 6 25 strategies strategy NNS cord-329357-ujh2nmh5 6 26 and and CC cord-329357-ujh2nmh5 6 27 the the DT cord-329357-ujh2nmh5 6 28 rule rule NN cord-329357-ujh2nmh5 6 29 of of IN cord-329357-ujh2nmh5 6 30 the the DT cord-329357-ujh2nmh5 6 31 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 6 32 patients patient NNS cord-329357-ujh2nmh5 6 33 on on IN cord-329357-ujh2nmh5 6 34 the the DT cord-329357-ujh2nmh5 6 35 spread spread NN cord-329357-ujh2nmh5 6 36 of of IN cord-329357-ujh2nmh5 6 37 the the DT cord-329357-ujh2nmh5 6 38 virus virus NN cord-329357-ujh2nmh5 6 39 in in IN cord-329357-ujh2nmh5 6 40 the the DT cord-329357-ujh2nmh5 6 41 Tunisian tunisian JJ cord-329357-ujh2nmh5 6 42 population population NN cord-329357-ujh2nmh5 6 43 . . . cord-329357-ujh2nmh5 7 1 With with IN cord-329357-ujh2nmh5 7 2 this this DT cord-329357-ujh2nmh5 7 3 work work NN cord-329357-ujh2nmh5 7 4 , , , cord-329357-ujh2nmh5 7 5 we -PRON- PRP cord-329357-ujh2nmh5 7 6 show show VBP cord-329357-ujh2nmh5 7 7 that that IN cord-329357-ujh2nmh5 7 8 Tunisian tunisian JJ cord-329357-ujh2nmh5 7 9 control control NN cord-329357-ujh2nmh5 7 10 policies policy NNS cord-329357-ujh2nmh5 7 11 are be VBP cord-329357-ujh2nmh5 7 12 efficient efficient JJ cord-329357-ujh2nmh5 7 13 in in IN cord-329357-ujh2nmh5 7 14 screening screen VBG cord-329357-ujh2nmh5 7 15 infected infected JJ cord-329357-ujh2nmh5 7 16 and and CC cord-329357-ujh2nmh5 7 17 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 7 18 individuals individual NNS cord-329357-ujh2nmh5 7 19 and and CC cord-329357-ujh2nmh5 7 20 that that IN cord-329357-ujh2nmh5 7 21 if if IN cord-329357-ujh2nmh5 7 22 containment containment NN cord-329357-ujh2nmh5 7 23 and and CC cord-329357-ujh2nmh5 7 24 curfew curfew NN cord-329357-ujh2nmh5 7 25 are be VBP cord-329357-ujh2nmh5 7 26 maintained maintain VBN cord-329357-ujh2nmh5 7 27 the the DT cord-329357-ujh2nmh5 7 28 epidemic epidemic NN cord-329357-ujh2nmh5 7 29 will will MD cord-329357-ujh2nmh5 7 30 be be VB cord-329357-ujh2nmh5 7 31 quickly quickly RB cord-329357-ujh2nmh5 7 32 contained contain VBN cord-329357-ujh2nmh5 7 33 . . . cord-329357-ujh2nmh5 8 1 On on IN cord-329357-ujh2nmh5 8 2 March March NNP cord-329357-ujh2nmh5 8 3 11 11 CD cord-329357-ujh2nmh5 8 4 , , , cord-329357-ujh2nmh5 8 5 2020 2020 CD cord-329357-ujh2nmh5 8 6 , , , cord-329357-ujh2nmh5 8 7 WHO who WP cord-329357-ujh2nmh5 8 8 announced announce VBD cord-329357-ujh2nmh5 8 9 that that IN cord-329357-ujh2nmh5 8 10 the the DT cord-329357-ujh2nmh5 8 11 COVID-19 covid-19 JJ cord-329357-ujh2nmh5 8 12 epidemic epidemic NN cord-329357-ujh2nmh5 8 13 had have VBD cord-329357-ujh2nmh5 8 14 passed pass VBN cord-329357-ujh2nmh5 8 15 the the DT cord-329357-ujh2nmh5 8 16 pandemic pandemic NN cord-329357-ujh2nmh5 8 17 stage stage NN cord-329357-ujh2nmh5 8 18 , , , cord-329357-ujh2nmh5 8 19 indicating indicate VBG cord-329357-ujh2nmh5 8 20 its -PRON- PRP$ cord-329357-ujh2nmh5 8 21 autonomous autonomous JJ cord-329357-ujh2nmh5 8 22 spread spread NN cord-329357-ujh2nmh5 8 23 over over IN cord-329357-ujh2nmh5 8 24 several several JJ cord-329357-ujh2nmh5 8 25 continents continent NNS cord-329357-ujh2nmh5 8 26 . . . cord-329357-ujh2nmh5 9 1 Since since IN cord-329357-ujh2nmh5 9 2 March March NNP cord-329357-ujh2nmh5 9 3 22 22 CD cord-329357-ujh2nmh5 9 4 , , , cord-329357-ujh2nmh5 9 5 Tunisia Tunisia NNP cord-329357-ujh2nmh5 9 6 has have VBZ cord-329357-ujh2nmh5 9 7 experienced experience VBN cord-329357-ujh2nmh5 9 8 a a DT cord-329357-ujh2nmh5 9 9 turning turning NN cord-329357-ujh2nmh5 9 10 point point NN cord-329357-ujh2nmh5 9 11 and and CC cord-329357-ujh2nmh5 9 12 general general JJ cord-329357-ujh2nmh5 9 13 health health NN cord-329357-ujh2nmh5 9 14 containment containment NN cord-329357-ujh2nmh5 9 15 has have VBZ cord-329357-ujh2nmh5 9 16 begun begin VBN cord-329357-ujh2nmh5 9 17 . . . cord-329357-ujh2nmh5 10 1 Tunisia Tunisia NNP cord-329357-ujh2nmh5 10 2 's 's POS cord-329357-ujh2nmh5 10 3 strategy strategy NN cord-329357-ujh2nmh5 10 4 of of IN cord-329357-ujh2nmh5 10 5 containment containment NN cord-329357-ujh2nmh5 10 6 and and CC cord-329357-ujh2nmh5 10 7 targeted target VBN cord-329357-ujh2nmh5 10 8 screening screening NN cord-329357-ujh2nmh5 10 9 corresponds correspond VBZ cord-329357-ujh2nmh5 10 10 to to IN cord-329357-ujh2nmh5 10 11 the the DT cord-329357-ujh2nmh5 10 12 first first JJ cord-329357-ujh2nmh5 10 13 WHO WHO NNP cord-329357-ujh2nmh5 10 14 guidelines guideline NNS cord-329357-ujh2nmh5 10 15 , , , cord-329357-ujh2nmh5 10 16 the the DT cord-329357-ujh2nmh5 10 17 aim aim NN cord-329357-ujh2nmh5 10 18 being be VBG cord-329357-ujh2nmh5 10 19 to to TO cord-329357-ujh2nmh5 10 20 detect detect VB cord-329357-ujh2nmh5 10 21 clusters cluster NNS cord-329357-ujh2nmh5 10 22 by by IN cord-329357-ujh2nmh5 10 23 diagnosing diagnose VBG cord-329357-ujh2nmh5 10 24 only only RB cord-329357-ujh2nmh5 10 25 suspicious suspicious JJ cord-329357-ujh2nmh5 10 26 persons person NNS cord-329357-ujh2nmh5 10 27 and and CC cord-329357-ujh2nmh5 10 28 then then RB cord-329357-ujh2nmh5 10 29 to to TO cord-329357-ujh2nmh5 10 30 trace trace VB cord-329357-ujh2nmh5 10 31 the the DT cord-329357-ujh2nmh5 10 32 people people NNS cord-329357-ujh2nmh5 10 33 who who WP cord-329357-ujh2nmh5 10 34 came come VBD cord-329357-ujh2nmh5 10 35 into into IN cord-329357-ujh2nmh5 10 36 contact contact NN cord-329357-ujh2nmh5 10 37 with with IN cord-329357-ujh2nmh5 10 38 the the DT cord-329357-ujh2nmh5 10 39 positive positive JJ cord-329357-ujh2nmh5 10 40 cases case NNS cord-329357-ujh2nmh5 10 41 . . . cord-329357-ujh2nmh5 11 1 This this DT cord-329357-ujh2nmh5 11 2 method method NN cord-329357-ujh2nmh5 11 3 is be VBZ cord-329357-ujh2nmh5 11 4 now now RB cord-329357-ujh2nmh5 11 5 showing show VBG cord-329357-ujh2nmh5 11 6 its -PRON- PRP$ cord-329357-ujh2nmh5 11 7 limitations limitation NNS cord-329357-ujh2nmh5 11 8 . . . cord-329357-ujh2nmh5 12 1 The the DT cord-329357-ujh2nmh5 12 2 mass mass NN cord-329357-ujh2nmh5 12 3 screening screening NN cord-329357-ujh2nmh5 12 4 carried carry VBD cord-329357-ujh2nmh5 12 5 out out RP cord-329357-ujh2nmh5 12 6 in in IN cord-329357-ujh2nmh5 12 7 some some DT cord-329357-ujh2nmh5 12 8 countries country NNS cord-329357-ujh2nmh5 12 9 shows show VBZ cord-329357-ujh2nmh5 12 10 that that IN cord-329357-ujh2nmh5 12 11 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 12 12 patients patient NNS cord-329357-ujh2nmh5 12 13 or or CC cord-329357-ujh2nmh5 12 14 those those DT cord-329357-ujh2nmh5 12 15 who who WP cord-329357-ujh2nmh5 12 16 develop develop VBP cord-329357-ujh2nmh5 12 17 only only RB cord-329357-ujh2nmh5 12 18 a a DT cord-329357-ujh2nmh5 12 19 mild mild JJ cord-329357-ujh2nmh5 12 20 form form NN cord-329357-ujh2nmh5 12 21 of of IN cord-329357-ujh2nmh5 12 22 the the DT cord-329357-ujh2nmh5 12 23 disease disease NN cord-329357-ujh2nmh5 12 24 may may MD cord-329357-ujh2nmh5 12 25 exist exist VB cord-329357-ujh2nmh5 12 26 in in IN cord-329357-ujh2nmh5 12 27 significant significant JJ cord-329357-ujh2nmh5 12 28 numbers number NNS cord-329357-ujh2nmh5 12 29 . . . cord-329357-ujh2nmh5 13 1 So so CC cord-329357-ujh2nmh5 13 2 what what WP cord-329357-ujh2nmh5 13 3 is be VBZ cord-329357-ujh2nmh5 13 4 the the DT cord-329357-ujh2nmh5 13 5 rule rule NN cord-329357-ujh2nmh5 13 6 of of IN cord-329357-ujh2nmh5 13 7 the the DT cord-329357-ujh2nmh5 13 8 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 13 9 patients patient NNS cord-329357-ujh2nmh5 13 10 on on IN cord-329357-ujh2nmh5 13 11 the the DT cord-329357-ujh2nmh5 13 12 spread spread NN cord-329357-ujh2nmh5 13 13 of of IN cord-329357-ujh2nmh5 13 14 the the DT cord-329357-ujh2nmh5 13 15 virus virus NN cord-329357-ujh2nmh5 13 16 in in IN cord-329357-ujh2nmh5 13 17 the the DT cord-329357-ujh2nmh5 13 18 Tunisian tunisian JJ cord-329357-ujh2nmh5 13 19 population population NN cord-329357-ujh2nmh5 13 20 and and CC cord-329357-ujh2nmh5 13 21 does do VBZ cord-329357-ujh2nmh5 13 22 containment containment NN cord-329357-ujh2nmh5 13 23 and and CC cord-329357-ujh2nmh5 13 24 mass mass NN cord-329357-ujh2nmh5 13 25 screening screening NN cord-329357-ujh2nmh5 13 26 strategies strategy NNS cord-329357-ujh2nmh5 13 27 are be VBP cord-329357-ujh2nmh5 13 28 sufficient sufficient JJ cord-329357-ujh2nmh5 13 29 to to TO cord-329357-ujh2nmh5 13 30 control control VB cord-329357-ujh2nmh5 13 31 the the DT cord-329357-ujh2nmh5 13 32 spread spread NN cord-329357-ujh2nmh5 13 33 of of IN cord-329357-ujh2nmh5 13 34 the the DT cord-329357-ujh2nmh5 13 35 virus virus NN cord-329357-ujh2nmh5 13 36 in in IN cord-329357-ujh2nmh5 13 37 the the DT cord-329357-ujh2nmh5 13 38 Tunisian tunisian JJ cord-329357-ujh2nmh5 13 39 population population NN cord-329357-ujh2nmh5 13 40 ? ? . cord-329357-ujh2nmh5 14 1 In in IN cord-329357-ujh2nmh5 14 2 this this DT cord-329357-ujh2nmh5 14 3 work work NN cord-329357-ujh2nmh5 14 4 , , , cord-329357-ujh2nmh5 14 5 a a DT cord-329357-ujh2nmh5 14 6 mathematical mathematical JJ cord-329357-ujh2nmh5 14 7 epidemiological epidemiological JJ cord-329357-ujh2nmh5 14 8 model model NN cord-329357-ujh2nmh5 14 9 for for IN cord-329357-ujh2nmh5 14 10 COVID-19 COVID-19 NNP cord-329357-ujh2nmh5 14 11 is be VBZ cord-329357-ujh2nmh5 14 12 developed develop VBN cord-329357-ujh2nmh5 14 13 to to TO cord-329357-ujh2nmh5 14 14 study study VB cord-329357-ujh2nmh5 14 15 and and CC cord-329357-ujh2nmh5 14 16 predict predict VB cord-329357-ujh2nmh5 14 17 the the DT cord-329357-ujh2nmh5 14 18 effect effect NN cord-329357-ujh2nmh5 14 19 of of IN cord-329357-ujh2nmh5 14 20 different different JJ cord-329357-ujh2nmh5 14 21 screening screening NN cord-329357-ujh2nmh5 14 22 , , , cord-329357-ujh2nmh5 14 23 quarantine quarantine NN cord-329357-ujh2nmh5 14 24 , , , cord-329357-ujh2nmh5 14 25 and and CC cord-329357-ujh2nmh5 14 26 containment containment NN cord-329357-ujh2nmh5 14 27 strategies strategy NNS cord-329357-ujh2nmh5 14 28 on on IN cord-329357-ujh2nmh5 14 29 the the DT cord-329357-ujh2nmh5 14 30 spread spread NN cord-329357-ujh2nmh5 14 31 of of IN cord-329357-ujh2nmh5 14 32 the the DT cord-329357-ujh2nmh5 14 33 virus virus NN cord-329357-ujh2nmh5 14 34 in in IN cord-329357-ujh2nmh5 14 35 the the DT cord-329357-ujh2nmh5 14 36 Tunisian tunisian JJ cord-329357-ujh2nmh5 14 37 population population NN cord-329357-ujh2nmh5 14 38 . . . cord-329357-ujh2nmh5 15 1 This this DT cord-329357-ujh2nmh5 15 2 model model NN cord-329357-ujh2nmh5 15 3 is be VBZ cord-329357-ujh2nmh5 15 4 more more RBR cord-329357-ujh2nmh5 15 5 detailed detailed JJ cord-329357-ujh2nmh5 15 6 than than IN cord-329357-ujh2nmh5 15 7 the the DT cord-329357-ujh2nmh5 15 8 classical classical JJ cord-329357-ujh2nmh5 15 9 model model NN cord-329357-ujh2nmh5 15 10 ( ( -LRB- cord-329357-ujh2nmh5 15 11 SIR SIR NNP cord-329357-ujh2nmh5 15 12 ) ) -RRB- cord-329357-ujh2nmh5 15 13 but but CC cord-329357-ujh2nmh5 15 14 it -PRON- PRP cord-329357-ujh2nmh5 15 15 remains remain VBZ cord-329357-ujh2nmh5 15 16 very very RB cord-329357-ujh2nmh5 15 17 simple simple JJ cord-329357-ujh2nmh5 15 18 in in IN cord-329357-ujh2nmh5 15 19 its -PRON- PRP$ cord-329357-ujh2nmh5 15 20 structure structure NN cord-329357-ujh2nmh5 15 21 . . . cord-329357-ujh2nmh5 16 1 Indeed indeed RB cord-329357-ujh2nmh5 16 2 , , , cord-329357-ujh2nmh5 16 3 all all DT cord-329357-ujh2nmh5 16 4 individuals individual NNS cord-329357-ujh2nmh5 16 5 are be VBP cord-329357-ujh2nmh5 16 6 assumed assume VBN cord-329357-ujh2nmh5 16 7 to to TO cord-329357-ujh2nmh5 16 8 react react VB cord-329357-ujh2nmh5 16 9 on on IN cord-329357-ujh2nmh5 16 10 average average JJ cord-329357-ujh2nmh5 16 11 in in IN cord-329357-ujh2nmh5 16 12 the the DT cord-329357-ujh2nmh5 16 13 same same JJ cord-329357-ujh2nmh5 16 14 way way NN cord-329357-ujh2nmh5 16 15 to to IN cord-329357-ujh2nmh5 16 16 the the DT cord-329357-ujh2nmh5 16 17 infection infection NN cord-329357-ujh2nmh5 16 18 , , , cord-329357-ujh2nmh5 16 19 there there EX cord-329357-ujh2nmh5 16 20 are be VBP cord-329357-ujh2nmh5 16 21 In in IN cord-329357-ujh2nmh5 16 22 what what WP cord-329357-ujh2nmh5 16 23 follows follow VBZ cord-329357-ujh2nmh5 16 24 , , , cord-329357-ujh2nmh5 16 25 we -PRON- PRP cord-329357-ujh2nmh5 16 26 present present VBP cord-329357-ujh2nmh5 16 27 the the DT cord-329357-ujh2nmh5 16 28 model model NN cord-329357-ujh2nmh5 16 29 and and CC cord-329357-ujh2nmh5 16 30 its -PRON- PRP$ cord-329357-ujh2nmh5 16 31 assumptions assumption NNS cord-329357-ujh2nmh5 16 32 . . . cord-329357-ujh2nmh5 17 1 Then then RB cord-329357-ujh2nmh5 17 2 we -PRON- PRP cord-329357-ujh2nmh5 17 3 calibrate calibrate VBP cord-329357-ujh2nmh5 17 4 different different JJ cord-329357-ujh2nmh5 17 5 parameters parameter NNS cord-329357-ujh2nmh5 17 6 of of IN cord-329357-ujh2nmh5 17 7 the the DT cord-329357-ujh2nmh5 17 8 model model NN cord-329357-ujh2nmh5 17 9 based base VBN cord-329357-ujh2nmh5 17 10 on on IN cord-329357-ujh2nmh5 17 11 the the DT cord-329357-ujh2nmh5 17 12 Tunisian tunisian JJ cord-329357-ujh2nmh5 17 13 data datum NNS cord-329357-ujh2nmh5 17 14 and and CC cord-329357-ujh2nmh5 17 15 calculate calculate VB cord-329357-ujh2nmh5 17 16 the the DT cord-329357-ujh2nmh5 17 17 expression expression NN cord-329357-ujh2nmh5 17 18 of of IN cord-329357-ujh2nmh5 17 19 the the DT cord-329357-ujh2nmh5 17 20 basic basic JJ cord-329357-ujh2nmh5 17 21 reproduction reproduction NN cord-329357-ujh2nmh5 17 22 number number NN cord-329357-ujh2nmh5 17 23 R0 R0 NNP cord-329357-ujh2nmh5 17 24 as as IN cord-329357-ujh2nmh5 17 25 a a DT cord-329357-ujh2nmh5 17 26 function function NN cord-329357-ujh2nmh5 17 27 of of IN cord-329357-ujh2nmh5 17 28 the the DT cord-329357-ujh2nmh5 17 29 model model NN cord-329357-ujh2nmh5 17 30 parameters parameter NNS cord-329357-ujh2nmh5 17 31 . . . cord-329357-ujh2nmh5 18 1 Finally finally RB cord-329357-ujh2nmh5 18 2 , , , cord-329357-ujh2nmh5 18 3 we -PRON- PRP cord-329357-ujh2nmh5 18 4 carry carry VBP cord-329357-ujh2nmh5 18 5 out out RP cord-329357-ujh2nmh5 18 6 simulations simulation NNS cord-329357-ujh2nmh5 18 7 of of IN cord-329357-ujh2nmh5 18 8 interventions intervention NNS cord-329357-ujh2nmh5 18 9 and and CC cord-329357-ujh2nmh5 18 10 compare compare VB cord-329357-ujh2nmh5 18 11 different different JJ cord-329357-ujh2nmh5 18 12 strategies strategy NNS cord-329357-ujh2nmh5 18 13 for for IN cord-329357-ujh2nmh5 18 14 suppressing suppress VBG cord-329357-ujh2nmh5 18 15 and and CC cord-329357-ujh2nmh5 18 16 controlling control VBG cord-329357-ujh2nmh5 18 17 the the DT cord-329357-ujh2nmh5 18 18 epidemic epidemic NN cord-329357-ujh2nmh5 18 19 . . . cord-329357-ujh2nmh5 19 1 COVID-19 COVID-19 NNP cord-329357-ujh2nmh5 19 2 is be VBZ cord-329357-ujh2nmh5 19 3 a a DT cord-329357-ujh2nmh5 19 4 respiratory respiratory JJ cord-329357-ujh2nmh5 19 5 disease disease NN cord-329357-ujh2nmh5 19 6 that that WDT cord-329357-ujh2nmh5 19 7 spreads spread VBZ cord-329357-ujh2nmh5 19 8 mainly mainly RB cord-329357-ujh2nmh5 19 9 through through IN cord-329357-ujh2nmh5 19 10 the the DT cord-329357-ujh2nmh5 19 11 respiratory respiratory JJ cord-329357-ujh2nmh5 19 12 droplets droplet NNS cord-329357-ujh2nmh5 19 13 expelled expel VBN cord-329357-ujh2nmh5 19 14 by by IN cord-329357-ujh2nmh5 19 15 people people NNS cord-329357-ujh2nmh5 19 16 who who WP cord-329357-ujh2nmh5 19 17 cough cough VBP cord-329357-ujh2nmh5 19 18 . . . cord-329357-ujh2nmh5 20 1 So so RB cord-329357-ujh2nmh5 20 2 the the DT cord-329357-ujh2nmh5 20 3 transmission transmission NN cord-329357-ujh2nmh5 20 4 is be VBZ cord-329357-ujh2nmh5 20 5 usually usually RB cord-329357-ujh2nmh5 20 6 direct direct JJ cord-329357-ujh2nmh5 20 7 from from IN cord-329357-ujh2nmh5 20 8 person person NN cord-329357-ujh2nmh5 20 9 to to IN cord-329357-ujh2nmh5 20 10 person person NN cord-329357-ujh2nmh5 20 11 . . . cord-329357-ujh2nmh5 21 1 Infection infection NN cord-329357-ujh2nmh5 21 2 is be VBZ cord-329357-ujh2nmh5 21 3 considered consider VBN cord-329357-ujh2nmh5 21 4 possible possible JJ cord-329357-ujh2nmh5 21 5 even even RB cord-329357-ujh2nmh5 21 6 when when WRB cord-329357-ujh2nmh5 21 7 in in IN cord-329357-ujh2nmh5 21 8 contact contact NN cord-329357-ujh2nmh5 21 9 with with IN cord-329357-ujh2nmh5 21 10 a a DT cord-329357-ujh2nmh5 21 11 person person NN cord-329357-ujh2nmh5 21 12 with with IN cord-329357-ujh2nmh5 21 13 mild mild JJ cord-329357-ujh2nmh5 21 14 symptoms symptom NNS cord-329357-ujh2nmh5 21 15 . . . cord-329357-ujh2nmh5 22 1 In in IN cord-329357-ujh2nmh5 22 2 fact fact NN cord-329357-ujh2nmh5 22 3 , , , cord-329357-ujh2nmh5 22 4 in in IN cord-329357-ujh2nmh5 22 5 the the DT cord-329357-ujh2nmh5 22 6 early early JJ cord-329357-ujh2nmh5 22 7 stages stage NNS cord-329357-ujh2nmh5 22 8 of of IN cord-329357-ujh2nmh5 22 9 the the DT cord-329357-ujh2nmh5 22 10 disease disease NN cord-329357-ujh2nmh5 22 11 , , , cord-329357-ujh2nmh5 22 12 many many JJ cord-329357-ujh2nmh5 22 13 people people NNS cord-329357-ujh2nmh5 22 14 with with IN cord-329357-ujh2nmh5 22 15 the the DT cord-329357-ujh2nmh5 22 16 disease disease NN cord-329357-ujh2nmh5 22 17 have have VBP cord-329357-ujh2nmh5 22 18 only only RB cord-329357-ujh2nmh5 22 19 mild mild JJ cord-329357-ujh2nmh5 22 20 symptoms symptom NNS cord-329357-ujh2nmh5 22 21 . . . cord-329357-ujh2nmh5 23 1 It -PRON- PRP cord-329357-ujh2nmh5 23 2 is be VBZ cord-329357-ujh2nmh5 23 3 , , , cord-329357-ujh2nmh5 23 4 therefore therefore RB cord-329357-ujh2nmh5 23 5 , , , cord-329357-ujh2nmh5 23 6 possible possible JJ cord-329357-ujh2nmh5 23 7 to to TO cord-329357-ujh2nmh5 23 8 contract contract VB cord-329357-ujh2nmh5 23 9 COVID-19 covid-19 VB cord-329357-ujh2nmh5 23 10 through through IN cord-329357-ujh2nmh5 23 11 contact contact NN cord-329357-ujh2nmh5 23 12 with with IN cord-329357-ujh2nmh5 23 13 a a DT cord-329357-ujh2nmh5 23 14 person person NN cord-329357-ujh2nmh5 23 15 who who WP cord-329357-ujh2nmh5 23 16 does do VBZ cord-329357-ujh2nmh5 23 17 not not RB cord-329357-ujh2nmh5 23 18 feel feel VB cord-329357-ujh2nmh5 23 19 sick sick JJ cord-329357-ujh2nmh5 23 20 . . . cord-329357-ujh2nmh5 24 1 Subsequently subsequently RB cord-329357-ujh2nmh5 24 2 , , , cord-329357-ujh2nmh5 24 3 in in IN cord-329357-ujh2nmh5 24 4 this this DT cord-329357-ujh2nmh5 24 5 work work NN cord-329357-ujh2nmh5 24 6 , , , cord-329357-ujh2nmh5 24 7 we -PRON- PRP cord-329357-ujh2nmh5 24 8 consider consider VBP cord-329357-ujh2nmh5 24 9 susceptible susceptible JJ cord-329357-ujh2nmh5 24 10 individuals individual NNS cord-329357-ujh2nmh5 24 11 , , , cord-329357-ujh2nmh5 24 12 noted note VBD cord-329357-ujh2nmh5 24 13 S S NNP cord-329357-ujh2nmh5 24 14 , , , cord-329357-ujh2nmh5 24 15 who who WP cord-329357-ujh2nmh5 24 16 are be VBP cord-329357-ujh2nmh5 24 17 infected infect VBN cord-329357-ujh2nmh5 24 18 first first RB cord-329357-ujh2nmh5 24 19 go go VBP cord-329357-ujh2nmh5 24 20 through through IN cord-329357-ujh2nmh5 24 21 a a DT cord-329357-ujh2nmh5 24 22 stage stage NN cord-329357-ujh2nmh5 24 23 where where WRB cord-329357-ujh2nmh5 24 24 they -PRON- PRP cord-329357-ujh2nmh5 24 25 are be VBP cord-329357-ujh2nmh5 24 26 infected infect VBN cord-329357-ujh2nmh5 24 27 but but CC cord-329357-ujh2nmh5 24 28 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 24 29 , , , cord-329357-ujh2nmh5 24 30 noted note VBD cord-329357-ujh2nmh5 25 1 As as IN cord-329357-ujh2nmh5 25 2 for for IN cord-329357-ujh2nmh5 25 3 unreported unreported JJ cord-329357-ujh2nmh5 25 4 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 25 5 infectious infectious JJ cord-329357-ujh2nmh5 25 6 . . . cord-329357-ujh2nmh5 26 1 This this DT cord-329357-ujh2nmh5 26 2 stage stage NN cord-329357-ujh2nmh5 26 3 appears appear VBZ cord-329357-ujh2nmh5 26 4 to to TO cord-329357-ujh2nmh5 26 5 be be VB cord-329357-ujh2nmh5 26 6 particularly particularly RB cord-329357-ujh2nmh5 26 7 important important JJ cord-329357-ujh2nmh5 26 8 in in IN cord-329357-ujh2nmh5 26 9 the the DT cord-329357-ujh2nmh5 26 10 spread spread NN cord-329357-ujh2nmh5 26 11 of of IN cord-329357-ujh2nmh5 26 12 COVID-19 covid-19 NN cord-329357-ujh2nmh5 26 13 . . . cord-329357-ujh2nmh5 27 1 The the DT cord-329357-ujh2nmh5 27 2 individuals individual NNS cord-329357-ujh2nmh5 27 3 then then RB cord-329357-ujh2nmh5 27 4 develop develop VBP cord-329357-ujh2nmh5 27 5 symptoms symptom NNS cord-329357-ujh2nmh5 27 6 and and CC cord-329357-ujh2nmh5 27 7 become become VB cord-329357-ujh2nmh5 27 8 symptomatic symptomatic JJ cord-329357-ujh2nmh5 27 9 infectious infectious JJ cord-329357-ujh2nmh5 27 10 , , , cord-329357-ujh2nmh5 27 11 so so CC cord-329357-ujh2nmh5 27 12 either either DT cord-329357-ujh2nmh5 27 13 enter enter VBP cord-329357-ujh2nmh5 27 14 directly directly RB cord-329357-ujh2nmh5 27 15 into into IN cord-329357-ujh2nmh5 27 16 a a DT cord-329357-ujh2nmh5 27 17 quarantine quarantine NN cord-329357-ujh2nmh5 27 18 stage stage NN cord-329357-ujh2nmh5 27 19 , , , cord-329357-ujh2nmh5 27 20 noted note VBD cord-329357-ujh2nmh5 27 21 Q Q NNP cord-329357-ujh2nmh5 27 22 , , , cord-329357-ujh2nmh5 27 23 corresponds correspond VBZ cord-329357-ujh2nmh5 27 24 to to IN cord-329357-ujh2nmh5 27 25 reported report VBN cord-329357-ujh2nmh5 27 26 symptomatic symptomatic JJ cord-329357-ujh2nmh5 27 27 infectious infectious JJ cord-329357-ujh2nmh5 27 28 individuals individual NNS cord-329357-ujh2nmh5 27 29 , , , cord-329357-ujh2nmh5 27 30 or or CC cord-329357-ujh2nmh5 27 31 go go VB cord-329357-ujh2nmh5 27 32 through through IN cord-329357-ujh2nmh5 27 33 a a DT cord-329357-ujh2nmh5 27 34 moderate moderate JJ cord-329357-ujh2nmh5 27 35 or or CC cord-329357-ujh2nmh5 27 36 severe severe JJ cord-329357-ujh2nmh5 27 37 infectious infectious JJ cord-329357-ujh2nmh5 27 38 stage stage NN cord-329357-ujh2nmh5 27 39 , , , cord-329357-ujh2nmh5 27 40 noted note VBD cord-329357-ujh2nmh5 27 41 I -PRON- PRP cord-329357-ujh2nmh5 27 42 for for IN cord-329357-ujh2nmh5 27 43 unreported unreported JJ cord-329357-ujh2nmh5 27 44 symptomatic symptomatic JJ cord-329357-ujh2nmh5 27 45 infectious infectious JJ cord-329357-ujh2nmh5 27 46 and and CC cord-329357-ujh2nmh5 27 47 then then RB cord-329357-ujh2nmh5 27 48 can can MD cord-329357-ujh2nmh5 27 49 go go VB cord-329357-ujh2nmh5 27 50 through through IN cord-329357-ujh2nmh5 27 51 the the DT cord-329357-ujh2nmh5 27 52 quarantine quarantine NN cord-329357-ujh2nmh5 27 53 stage stage NN cord-329357-ujh2nmh5 27 54 or or CC cord-329357-ujh2nmh5 27 55 not not RB cord-329357-ujh2nmh5 27 56 . . . cord-329357-ujh2nmh5 28 1 Finally finally RB cord-329357-ujh2nmh5 28 2 , , , cord-329357-ujh2nmh5 28 3 the the DT cord-329357-ujh2nmh5 28 4 infection infection NN cord-329357-ujh2nmh5 28 5 ends end VBZ cord-329357-ujh2nmh5 28 6 and and CC cord-329357-ujh2nmh5 28 7 the the DT cord-329357-ujh2nmh5 28 8 individuals individual NNS cord-329357-ujh2nmh5 28 9 are be VBP cord-329357-ujh2nmh5 28 10 then then RB cord-329357-ujh2nmh5 28 11 immunized immunize VBN cord-329357-ujh2nmh5 28 12 , , , cord-329357-ujh2nmh5 28 13 denoted denoted JJ cord-329357-ujh2nmh5 28 14 R r NN cord-329357-ujh2nmh5 28 15 or or CC cord-329357-ujh2nmh5 28 16 dead dead JJ cord-329357-ujh2nmh5 28 17 , , , cord-329357-ujh2nmh5 28 18 denoted denoted JJ cord-329357-ujh2nmh5 28 19 D. D. NNP cord-329357-ujh2nmh5 29 1 This this DT cord-329357-ujh2nmh5 29 2 life life NN cord-329357-ujh2nmh5 29 3 cycle cycle NN cord-329357-ujh2nmh5 29 4 can can MD cord-329357-ujh2nmh5 29 5 be be VB cord-329357-ujh2nmh5 29 6 represented represent VBN cord-329357-ujh2nmh5 29 7 using use VBG cord-329357-ujh2nmh5 29 8 the the DT cord-329357-ujh2nmh5 29 9 following following JJ cord-329357-ujh2nmh5 29 10 flow flow NN cord-329357-ujh2nmh5 29 11 chart chart NN cord-329357-ujh2nmh5 29 12 ( ( -LRB- cord-329357-ujh2nmh5 29 13 1 1 CD cord-329357-ujh2nmh5 29 14 ) ) -RRB- cord-329357-ujh2nmh5 29 15 followed follow VBN cord-329357-ujh2nmh5 29 16 by by IN cord-329357-ujh2nmh5 29 17 table table NN cord-329357-ujh2nmh5 29 18 1 1 CD cord-329357-ujh2nmh5 29 19 that that WDT cord-329357-ujh2nmh5 29 20 lists list VBZ cord-329357-ujh2nmh5 29 21 the the DT cord-329357-ujh2nmh5 29 22 model model NN cord-329357-ujh2nmh5 29 23 parameters parameter NNS cord-329357-ujh2nmh5 29 24 . . . cord-329357-ujh2nmh5 30 1 The the DT cord-329357-ujh2nmh5 30 2 quarantine quarantine NN cord-329357-ujh2nmh5 30 3 is be VBZ cord-329357-ujh2nmh5 30 4 assumed assume VBN cord-329357-ujh2nmh5 30 5 to to TO cord-329357-ujh2nmh5 30 6 act act VB cord-329357-ujh2nmh5 30 7 on on IN cord-329357-ujh2nmh5 30 8 the the DT cord-329357-ujh2nmh5 30 9 As as IN cord-329357-ujh2nmh5 31 1 and and CC cord-329357-ujh2nmh5 31 2 I -PRON- PRP cord-329357-ujh2nmh5 31 3 stages stage VBZ cord-329357-ujh2nmh5 31 4 . . . cord-329357-ujh2nmh5 32 1 Indeed indeed RB cord-329357-ujh2nmh5 32 2 , , , cord-329357-ujh2nmh5 32 3 we -PRON- PRP cord-329357-ujh2nmh5 32 4 assumed assume VBD cord-329357-ujh2nmh5 32 5 that that IN cord-329357-ujh2nmh5 32 6 the the DT cord-329357-ujh2nmh5 32 7 state state NN cord-329357-ujh2nmh5 32 8 can can MD cord-329357-ujh2nmh5 32 9 detect detect VB cord-329357-ujh2nmh5 32 10 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 32 11 individuals individual NNS cord-329357-ujh2nmh5 32 12 by by IN cord-329357-ujh2nmh5 32 13 for for IN cord-329357-ujh2nmh5 32 14 example example NN cord-329357-ujh2nmh5 32 15 random random JJ cord-329357-ujh2nmh5 32 16 screening screening NN cord-329357-ujh2nmh5 32 17 , , , cord-329357-ujh2nmh5 32 18 and and CC cord-329357-ujh2nmh5 32 19 then then RB cord-329357-ujh2nmh5 32 20 positive positive JJ cord-329357-ujh2nmh5 32 21 testing testing NN cord-329357-ujh2nmh5 32 22 ones one NNS cord-329357-ujh2nmh5 32 23 go go VBP cord-329357-ujh2nmh5 32 24 into into IN cord-329357-ujh2nmh5 32 25 quarantine quarantine NN cord-329357-ujh2nmh5 32 26 . . . cord-329357-ujh2nmh5 33 1 Let let VB cord-329357-ujh2nmh5 33 2 τ1 τ1 NN cord-329357-ujh2nmh5 33 3 , , , cord-329357-ujh2nmh5 33 4 respectively respectively RB cord-329357-ujh2nmh5 33 5 τ2 τ2 NNP cord-329357-ujh2nmh5 33 6 , , , cord-329357-ujh2nmh5 33 7 be be VB cord-329357-ujh2nmh5 33 8 the the DT cord-329357-ujh2nmh5 33 9 quarantine quarantine NN cord-329357-ujh2nmh5 33 10 rate rate NN cord-329357-ujh2nmh5 33 11 for for IN cord-329357-ujh2nmh5 33 12 As as IN cord-329357-ujh2nmh5 33 13 class class NN cord-329357-ujh2nmh5 33 14 , , , cord-329357-ujh2nmh5 33 15 respectively respectively RB cord-329357-ujh2nmh5 33 16 I. i. NN cord-329357-ujh2nmh5 34 1 We -PRON- PRP cord-329357-ujh2nmh5 34 2 assumed assume VBD cord-329357-ujh2nmh5 34 3 that that IN cord-329357-ujh2nmh5 34 4 the the DT cord-329357-ujh2nmh5 34 5 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 34 6 individual individual NN cord-329357-ujh2nmh5 34 7 , , , cord-329357-ujh2nmh5 34 8 As as IN cord-329357-ujh2nmh5 34 9 , , , cord-329357-ujh2nmh5 34 10 turn turn VB cord-329357-ujh2nmh5 34 11 out out RP cord-329357-ujh2nmh5 34 12 to to TO cord-329357-ujh2nmh5 34 13 be be VB cord-329357-ujh2nmh5 34 14 I -PRON- PRP cord-329357-ujh2nmh5 34 15 at at IN cord-329357-ujh2nmh5 34 16 a a DT cord-329357-ujh2nmh5 34 17 rate rate NN cord-329357-ujh2nmh5 34 18 β β NN cord-329357-ujh2nmh5 34 19 . . . cord-329357-ujh2nmh5 35 1 We -PRON- PRP cord-329357-ujh2nmh5 35 2 further further RB cord-329357-ujh2nmh5 35 3 assumed assume VBD cord-329357-ujh2nmh5 35 4 that that IN cord-329357-ujh2nmh5 35 5 quarantined quarantine VBN cord-329357-ujh2nmh5 35 6 individuals individual NNS cord-329357-ujh2nmh5 35 7 , , , cord-329357-ujh2nmh5 35 8 Q q NN cord-329357-ujh2nmh5 35 9 and and CC cord-329357-ujh2nmh5 35 10 infected infect VBN cord-329357-ujh2nmh5 35 11 individuals individual NNS cord-329357-ujh2nmh5 35 12 , , , cord-329357-ujh2nmh5 35 13 I -PRON- PRP cord-329357-ujh2nmh5 35 14 either either RB cord-329357-ujh2nmh5 35 15 die die VBP cord-329357-ujh2nmh5 35 16 at at IN cord-329357-ujh2nmh5 35 17 a a DT cord-329357-ujh2nmh5 35 18 rate rate NN cord-329357-ujh2nmh5 35 19 of of IN cord-329357-ujh2nmh5 35 20 µ µ NN cord-329357-ujh2nmh5 35 21 per per IN cord-329357-ujh2nmh5 35 22 unit unit NN cord-329357-ujh2nmh5 35 23 of of IN cord-329357-ujh2nmh5 35 24 time time NN cord-329357-ujh2nmh5 35 25 or or CC cord-329357-ujh2nmh5 35 26 become become VB cord-329357-ujh2nmh5 35 27 recovered recover VBN cord-329357-ujh2nmh5 35 28 / / SYM cord-329357-ujh2nmh5 35 29 immune immune NN cord-329357-ujh2nmh5 35 30 , , , cord-329357-ujh2nmh5 35 31 R r NN cord-329357-ujh2nmh5 35 32 , , , cord-329357-ujh2nmh5 35 33 at at IN cord-329357-ujh2nmh5 35 34 a a DT cord-329357-ujh2nmh5 35 35 rate rate NN cord-329357-ujh2nmh5 35 36 of of IN cord-329357-ujh2nmh5 35 37 γ γ NN cord-329357-ujh2nmh5 35 38 per per IN cord-329357-ujh2nmh5 35 39 unit unit NN cord-329357-ujh2nmh5 35 40 of of IN cord-329357-ujh2nmh5 35 41 time time NN cord-329357-ujh2nmh5 35 42 . . . cord-329357-ujh2nmh5 36 1 Finally finally RB cord-329357-ujh2nmh5 36 2 , , , cord-329357-ujh2nmh5 36 3 we -PRON- PRP cord-329357-ujh2nmh5 36 4 assume assume VBP cord-329357-ujh2nmh5 36 5 that that IN cord-329357-ujh2nmh5 36 6 each each DT cord-329357-ujh2nmh5 36 7 healthy healthy JJ cord-329357-ujh2nmh5 36 8 individual individual NN cord-329357-ujh2nmh5 36 9 is be VBZ cord-329357-ujh2nmh5 36 10 infected infect VBN cord-329357-ujh2nmh5 36 11 proportionally proportionally RB cord-329357-ujh2nmh5 36 12 by by IN cord-329357-ujh2nmh5 36 13 As as IN cord-329357-ujh2nmh5 36 14 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 36 15 individuals individual NNS cord-329357-ujh2nmh5 36 16 , , , cord-329357-ujh2nmh5 36 17 with with IN cord-329357-ujh2nmh5 36 18 a a DT cord-329357-ujh2nmh5 36 19 rate rate NN cord-329357-ujh2nmh5 36 20 of of IN cord-329357-ujh2nmh5 36 21 α1 α1 NN cord-329357-ujh2nmh5 36 22 and and CC cord-329357-ujh2nmh5 36 23 by by IN cord-329357-ujh2nmh5 36 24 I -PRON- PRP cord-329357-ujh2nmh5 36 25 infected infect VBD cord-329357-ujh2nmh5 36 26 individuals individual NNS cord-329357-ujh2nmh5 36 27 , , , cord-329357-ujh2nmh5 36 28 with with IN cord-329357-ujh2nmh5 36 29 a a DT cord-329357-ujh2nmh5 36 30 rate rate NN cord-329357-ujh2nmh5 36 31 of of IN cord-329357-ujh2nmh5 36 32 α2 α2 NN cord-329357-ujh2nmh5 36 33 . . . cord-329357-ujh2nmh5 37 1 As as IN cord-329357-ujh2nmh5 37 2 I -PRON- PRP cord-329357-ujh2nmh5 37 3 state state NN cord-329357-ujh2nmh5 37 4 is be VBZ cord-329357-ujh2nmh5 37 5 constituted constitute VBN cord-329357-ujh2nmh5 37 6 with with IN cord-329357-ujh2nmh5 37 7 the the DT cord-329357-ujh2nmh5 37 8 moderate moderate JJ cord-329357-ujh2nmh5 37 9 or or CC cord-329357-ujh2nmh5 37 10 severe severe JJ cord-329357-ujh2nmh5 37 11 state state NN cord-329357-ujh2nmh5 37 12 , , , cord-329357-ujh2nmh5 37 13 they -PRON- PRP cord-329357-ujh2nmh5 37 14 are be VBP cord-329357-ujh2nmh5 37 15 more more RBR cord-329357-ujh2nmh5 37 16 contagious contagious JJ cord-329357-ujh2nmh5 37 17 than than IN cord-329357-ujh2nmh5 37 18 the the DT cord-329357-ujh2nmh5 37 19 As As NNP cord-329357-ujh2nmh5 37 20 state state NN cord-329357-ujh2nmh5 37 21 , , , cord-329357-ujh2nmh5 37 22 therefore therefore RB cord-329357-ujh2nmh5 37 23 , , , cord-329357-ujh2nmh5 37 24 α1 α1 NNP cord-329357-ujh2nmh5 37 25 < < XX cord-329357-ujh2nmh5 37 26 α2 α2 NNP cord-329357-ujh2nmh5 37 27 . . . cord-329357-ujh2nmh5 38 1 Therefore therefore RB cord-329357-ujh2nmh5 38 2 , , , cord-329357-ujh2nmh5 38 3 our -PRON- PRP$ cord-329357-ujh2nmh5 38 4 model model NN cord-329357-ujh2nmh5 38 5 consists consist VBZ cord-329357-ujh2nmh5 38 6 of of IN cord-329357-ujh2nmh5 38 7 the the DT cord-329357-ujh2nmh5 38 8 following follow VBG cord-329357-ujh2nmh5 38 9 system system NN cord-329357-ujh2nmh5 38 10 of of IN cord-329357-ujh2nmh5 38 11 6 6 CD cord-329357-ujh2nmh5 38 12 ordinary ordinary JJ cord-329357-ujh2nmh5 38 13 differential differential JJ cord-329357-ujh2nmh5 38 14 equations equation NNS cord-329357-ujh2nmh5 38 15 : : : cord-329357-ujh2nmh5 38 16 With with IN cord-329357-ujh2nmh5 38 17 an an DT cord-329357-ujh2nmh5 38 18 initial initial JJ cord-329357-ujh2nmh5 38 19 condition condition NN cord-329357-ujh2nmh5 38 20 at at IN cord-329357-ujh2nmh5 38 21 time time NN cord-329357-ujh2nmh5 38 22 t t NN cord-329357-ujh2nmh5 38 23 = = SYM cord-329357-ujh2nmh5 38 24 t0 t0 NNP cord-329357-ujh2nmh5 38 25 defined define VBN cord-329357-ujh2nmh5 38 26 as as IN cord-329357-ujh2nmh5 38 27 following follow VBG cord-329357-ujh2nmh5 38 28 : : : cord-329357-ujh2nmh5 38 29 One one CD cord-329357-ujh2nmh5 38 30 of of IN cord-329357-ujh2nmh5 38 31 the the DT cord-329357-ujh2nmh5 38 32 advantages advantage NNS cord-329357-ujh2nmh5 38 33 of of IN cord-329357-ujh2nmh5 38 34 the the DT cord-329357-ujh2nmh5 38 35 basic basic JJ cord-329357-ujh2nmh5 38 36 reproduction reproduction NN cord-329357-ujh2nmh5 38 37 number number NN cord-329357-ujh2nmh5 38 38 R0 R0 NNP cord-329357-ujh2nmh5 38 39 concept concept NN cord-329357-ujh2nmh5 38 40 is be VBZ cord-329357-ujh2nmh5 38 41 that that IN cord-329357-ujh2nmh5 38 42 it -PRON- PRP cord-329357-ujh2nmh5 38 43 can can MD cord-329357-ujh2nmh5 38 44 be be VB cord-329357-ujh2nmh5 38 45 calculated calculate VBN cord-329357-ujh2nmh5 38 46 from from IN cord-329357-ujh2nmh5 38 47 the the DT cord-329357-ujh2nmh5 38 48 moment moment NN cord-329357-ujh2nmh5 38 49 the the DT cord-329357-ujh2nmh5 38 50 life life NN cord-329357-ujh2nmh5 38 51 cycle cycle NN cord-329357-ujh2nmh5 38 52 of of IN cord-329357-ujh2nmh5 38 53 the the DT cord-329357-ujh2nmh5 38 54 infectious infectious JJ cord-329357-ujh2nmh5 38 55 agent agent NN cord-329357-ujh2nmh5 38 56 is be VBZ cord-329357-ujh2nmh5 38 57 known know VBN cord-329357-ujh2nmh5 38 58 . . . cord-329357-ujh2nmh5 39 1 We -PRON- PRP cord-329357-ujh2nmh5 39 2 calculate calculate VBP cord-329357-ujh2nmh5 39 3 the the DT cord-329357-ujh2nmh5 39 4 R0 R0 NNP cord-329357-ujh2nmh5 39 5 for for IN cord-329357-ujh2nmh5 39 6 our -PRON- PRP$ cord-329357-ujh2nmh5 39 7 model model NN cord-329357-ujh2nmh5 39 8 using use VBG cord-329357-ujh2nmh5 39 9 the the DT cord-329357-ujh2nmh5 39 10 Next Next NNP cord-329357-ujh2nmh5 39 11 Generation Generation NNP cord-329357-ujh2nmh5 39 12 Theorem Theorem NNP cord-329357-ujh2nmh5 39 13 [ [ -LRB- cord-329357-ujh2nmh5 39 14 3 3 CD cord-329357-ujh2nmh5 39 15 ] ] -RRB- cord-329357-ujh2nmh5 39 16 ( ( -LRB- cord-329357-ujh2nmh5 39 17 see see VB cord-329357-ujh2nmh5 39 18 section section NN cord-329357-ujh2nmh5 39 19 A.1 A.1 NNP cord-329357-ujh2nmh5 39 20 ) ) -RRB- cord-329357-ujh2nmh5 39 21 , , , cord-329357-ujh2nmh5 39 22 3 3 CD cord-329357-ujh2nmh5 39 23 . . . cord-329357-ujh2nmh5 40 1 CC CC NNP cord-329357-ujh2nmh5 40 2 - - HYPH cord-329357-ujh2nmh5 40 3 BY BY NNP cord-329357-ujh2nmh5 40 4 - - HYPH cord-329357-ujh2nmh5 40 5 NC NC NNP cord-329357-ujh2nmh5 40 6 - - HYPH cord-329357-ujh2nmh5 40 7 ND ND NNP cord-329357-ujh2nmh5 40 8 4.0 4.0 CD cord-329357-ujh2nmh5 40 9 International international JJ cord-329357-ujh2nmh5 40 10 license license NN cord-329357-ujh2nmh5 41 1 It -PRON- PRP cord-329357-ujh2nmh5 41 2 is be VBZ cord-329357-ujh2nmh5 41 3 made make VBN cord-329357-ujh2nmh5 41 4 available available JJ cord-329357-ujh2nmh5 41 5 under under IN cord-329357-ujh2nmh5 41 6 a a DT cord-329357-ujh2nmh5 42 1 is be VBZ cord-329357-ujh2nmh5 42 2 the the DT cord-329357-ujh2nmh5 42 3 author author NN cord-329357-ujh2nmh5 42 4 / / SYM cord-329357-ujh2nmh5 42 5 funder funder NN cord-329357-ujh2nmh5 42 6 , , , cord-329357-ujh2nmh5 42 7 who who WP cord-329357-ujh2nmh5 42 8 has have VBZ cord-329357-ujh2nmh5 42 9 granted grant VBN cord-329357-ujh2nmh5 42 10 medRxiv medRxiv NNS cord-329357-ujh2nmh5 42 11 a a DT cord-329357-ujh2nmh5 42 12 license license NN cord-329357-ujh2nmh5 42 13 to to TO cord-329357-ujh2nmh5 42 14 display display VB cord-329357-ujh2nmh5 42 15 the the DT cord-329357-ujh2nmh5 42 16 preprint preprint NN cord-329357-ujh2nmh5 42 17 in in IN cord-329357-ujh2nmh5 42 18 perpetuity perpetuity NN cord-329357-ujh2nmh5 42 19 . . . cord-329357-ujh2nmh5 43 1 The the DT cord-329357-ujh2nmh5 43 2 copyright copyright NN cord-329357-ujh2nmh5 43 3 holder holder NN cord-329357-ujh2nmh5 43 4 for for IN cord-329357-ujh2nmh5 43 5 this this DT cord-329357-ujh2nmh5 43 6 preprint preprint NN cord-329357-ujh2nmh5 43 7 this this DT cord-329357-ujh2nmh5 43 8 version version NN cord-329357-ujh2nmh5 43 9 posted post VBN cord-329357-ujh2nmh5 43 10 May May NNP cord-329357-ujh2nmh5 43 11 6 6 CD cord-329357-ujh2nmh5 43 12 , , , cord-329357-ujh2nmh5 43 13 2020 2020 CD cord-329357-ujh2nmh5 43 14 . . . cord-329357-ujh2nmh5 43 15 . . . cord-329357-ujh2nmh5 44 1 https://doi.org/10.1101/2020.05.02.20088492 https://doi.org/10.1101/2020.05.02.20088492 NNP cord-329357-ujh2nmh5 44 2 doi doi XX cord-329357-ujh2nmh5 44 3 : : : cord-329357-ujh2nmh5 45 1 medRxiv medRxiv NNP cord-329357-ujh2nmh5 45 2 preprint preprint NNP cord-329357-ujh2nmh5 46 1 The the DT cord-329357-ujh2nmh5 46 2 first first JJ cord-329357-ujh2nmh5 46 3 term term NN cord-329357-ujh2nmh5 46 4 of of IN cord-329357-ujh2nmh5 46 5 the the DT cord-329357-ujh2nmh5 46 6 expression expression NN cord-329357-ujh2nmh5 46 7 of of IN cord-329357-ujh2nmh5 46 8 ( ( -LRB- cord-329357-ujh2nmh5 46 9 2 2 CD cord-329357-ujh2nmh5 46 10 ) ) -RRB- cord-329357-ujh2nmh5 46 11 corresponds correspond VBZ cord-329357-ujh2nmh5 46 12 to to IN cord-329357-ujh2nmh5 46 13 infections infection NNS cord-329357-ujh2nmh5 46 14 generated generate VBN cord-329357-ujh2nmh5 46 15 by by IN cord-329357-ujh2nmh5 46 16 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 46 17 types type NNS cord-329357-ujh2nmh5 46 18 ( ( -LRB- cord-329357-ujh2nmh5 46 19 healthy healthy JJ cord-329357-ujh2nmh5 46 20 carrier carrier NN cord-329357-ujh2nmh5 46 21 to to IN cord-329357-ujh2nmh5 46 22 mild mild JJ cord-329357-ujh2nmh5 46 23 symptoms symptom NNS cord-329357-ujh2nmh5 46 24 ) ) -RRB- cord-329357-ujh2nmh5 46 25 . . . cord-329357-ujh2nmh5 47 1 The the DT cord-329357-ujh2nmh5 47 2 second second JJ cord-329357-ujh2nmh5 47 3 term term NN cord-329357-ujh2nmh5 47 4 corresponds correspond VBZ cord-329357-ujh2nmh5 47 5 to to IN cord-329357-ujh2nmh5 47 6 secondary secondary JJ cord-329357-ujh2nmh5 47 7 infections infection NNS cord-329357-ujh2nmh5 47 8 caused cause VBN cord-329357-ujh2nmh5 47 9 by by IN cord-329357-ujh2nmh5 47 10 moderate moderate JJ cord-329357-ujh2nmh5 47 11 or or CC cord-329357-ujh2nmh5 47 12 severe severe JJ cord-329357-ujh2nmh5 47 13 symptomatic symptomatic JJ cord-329357-ujh2nmh5 47 14 infection infection NN cord-329357-ujh2nmh5 47 15 . . . cord-329357-ujh2nmh5 48 1 With with IN cord-329357-ujh2nmh5 48 2 this this DT cord-329357-ujh2nmh5 48 3 expression expression NN cord-329357-ujh2nmh5 48 4 , , , cord-329357-ujh2nmh5 48 5 we -PRON- PRP cord-329357-ujh2nmh5 48 6 can can MD cord-329357-ujh2nmh5 48 7 see see VB cord-329357-ujh2nmh5 48 8 that that IN cord-329357-ujh2nmh5 48 9 there there EX cord-329357-ujh2nmh5 48 10 are be VBP cord-329357-ujh2nmh5 48 11 several several JJ cord-329357-ujh2nmh5 48 12 ways way NNS cord-329357-ujh2nmh5 48 13 to to TO cord-329357-ujh2nmh5 48 14 lower lower VB cord-329357-ujh2nmh5 48 15 the the DT cord-329357-ujh2nmh5 48 16 R0 R0 NNP cord-329357-ujh2nmh5 48 17 and and CC cord-329357-ujh2nmh5 48 18 thus thus RB cord-329357-ujh2nmh5 48 19 control control VB cord-329357-ujh2nmh5 48 20 the the DT cord-329357-ujh2nmh5 48 21 epidemic epidemic NN cord-329357-ujh2nmh5 48 22 . . . cord-329357-ujh2nmh5 49 1 For for IN cord-329357-ujh2nmh5 49 2 example example NN cord-329357-ujh2nmh5 49 3 , , , cord-329357-ujh2nmh5 49 4 we -PRON- PRP cord-329357-ujh2nmh5 49 5 can can MD cord-329357-ujh2nmh5 49 6 reduce reduce VB cord-329357-ujh2nmh5 49 7 the the DT cord-329357-ujh2nmh5 49 8 number number NN cord-329357-ujh2nmh5 49 9 of of IN cord-329357-ujh2nmh5 49 10 susceptible susceptible JJ cord-329357-ujh2nmh5 49 11 people people NNS cord-329357-ujh2nmh5 49 12 ( ( -LRB- cord-329357-ujh2nmh5 49 13 decreasing decrease VBG cord-329357-ujh2nmh5 49 14 α1 α1 NN cord-329357-ujh2nmh5 49 15 and and CC cord-329357-ujh2nmh5 49 16 α2 α2 NN cord-329357-ujh2nmh5 49 17 ) ) -RRB- cord-329357-ujh2nmh5 49 18 by by IN cord-329357-ujh2nmh5 49 19 confining confine VBG cord-329357-ujh2nmh5 49 20 the the DT cord-329357-ujh2nmh5 49 21 population population NN cord-329357-ujh2nmh5 49 22 , , , cord-329357-ujh2nmh5 49 23 reducing reduce VBG cord-329357-ujh2nmh5 49 24 contacts contact NNS cord-329357-ujh2nmh5 49 25 , , , cord-329357-ujh2nmh5 49 26 and and CC cord-329357-ujh2nmh5 49 27 wearing wear VBG cord-329357-ujh2nmh5 49 28 masks mask NNS cord-329357-ujh2nmh5 49 29 . . . cord-329357-ujh2nmh5 50 1 We -PRON- PRP cord-329357-ujh2nmh5 50 2 can can MD cord-329357-ujh2nmh5 50 3 also also RB cord-329357-ujh2nmh5 50 4 reduce reduce VB cord-329357-ujh2nmh5 50 5 the the DT cord-329357-ujh2nmh5 50 6 rate rate NN cord-329357-ujh2nmh5 50 7 of of IN cord-329357-ujh2nmh5 50 8 contact contact NN cord-329357-ujh2nmh5 50 9 with with IN cord-329357-ujh2nmh5 50 10 an an DT cord-329357-ujh2nmh5 50 11 infected infected JJ cord-329357-ujh2nmh5 50 12 person person NN cord-329357-ujh2nmh5 50 13 by by IN cord-329357-ujh2nmh5 50 14 increasing increase VBG cord-329357-ujh2nmh5 50 15 quarantine quarantine NN cord-329357-ujh2nmh5 50 16 rates rate NNS cord-329357-ujh2nmh5 50 17 ( ( -LRB- cord-329357-ujh2nmh5 50 18 τ1 τ1 NN cord-329357-ujh2nmh5 50 19 and and CC cord-329357-ujh2nmh5 50 20 τ2 τ2 NNP cord-329357-ujh2nmh5 50 21 ) ) -RRB- cord-329357-ujh2nmh5 50 22 by by IN cord-329357-ujh2nmh5 50 23 isolating isolate VBG cord-329357-ujh2nmh5 50 24 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 50 25 or or CC cord-329357-ujh2nmh5 50 26 symptomatic symptomatic JJ cord-329357-ujh2nmh5 50 27 infected infected JJ cord-329357-ujh2nmh5 50 28 persons person NNS cord-329357-ujh2nmh5 50 29 through through IN cord-329357-ujh2nmh5 50 30 mass mass NN cord-329357-ujh2nmh5 50 31 screening screening NN cord-329357-ujh2nmh5 50 32 . . . cord-329357-ujh2nmh5 51 1 The the DT cord-329357-ujh2nmh5 51 2 estimation estimation NN cord-329357-ujh2nmh5 51 3 of of IN cord-329357-ujh2nmh5 51 4 the the DT cord-329357-ujh2nmh5 51 5 different different JJ cord-329357-ujh2nmh5 51 6 parameters parameter NNS cord-329357-ujh2nmh5 51 7 of of IN cord-329357-ujh2nmh5 51 8 the the DT cord-329357-ujh2nmh5 51 9 model model NN cord-329357-ujh2nmh5 51 10 is be VBZ cord-329357-ujh2nmh5 51 11 done do VBN cord-329357-ujh2nmh5 51 12 in in IN cord-329357-ujh2nmh5 51 13 three three CD cord-329357-ujh2nmh5 51 14 steps step NNS cord-329357-ujh2nmh5 51 15 ( ( -LRB- cord-329357-ujh2nmh5 51 16 see see VB cord-329357-ujh2nmh5 51 17 section section NN cord-329357-ujh2nmh5 51 18 A.2 a.2 NN cord-329357-ujh2nmh5 51 19 ) ) -RRB- cord-329357-ujh2nmh5 51 20 . . . cord-329357-ujh2nmh5 52 1 In in IN cord-329357-ujh2nmh5 52 2 the the DT cord-329357-ujh2nmh5 52 3 first first JJ cord-329357-ujh2nmh5 52 4 step step NN cord-329357-ujh2nmh5 52 5 , , , cord-329357-ujh2nmh5 52 6 we -PRON- PRP cord-329357-ujh2nmh5 52 7 will will MD cord-329357-ujh2nmh5 52 8 estimate estimate VB cord-329357-ujh2nmh5 52 9 the the DT cord-329357-ujh2nmh5 52 10 start start NN cord-329357-ujh2nmh5 52 11 date date NN cord-329357-ujh2nmh5 52 12 of of IN cord-329357-ujh2nmh5 52 13 the the DT cord-329357-ujh2nmh5 52 14 epidemic epidemic NN cord-329357-ujh2nmh5 52 15 , , , cord-329357-ujh2nmh5 52 16 t0 t0 NNP cord-329357-ujh2nmh5 52 17 , , , cord-329357-ujh2nmh5 52 18 the the DT cord-329357-ujh2nmh5 52 19 initial initial JJ cord-329357-ujh2nmh5 52 20 states state NNS cord-329357-ujh2nmh5 52 21 As(t0 As(t0 NFP cord-329357-ujh2nmh5 52 22 ) ) -RRB- cord-329357-ujh2nmh5 52 23 and and CC cord-329357-ujh2nmh5 52 24 I(t0 I(t0 NNP cord-329357-ujh2nmh5 52 25 ) ) -RRB- cord-329357-ujh2nmh5 52 26 as as RB cord-329357-ujh2nmh5 52 27 well well RB cord-329357-ujh2nmh5 52 28 as as IN cord-329357-ujh2nmh5 52 29 the the DT cord-329357-ujh2nmh5 52 30 infection infection NN cord-329357-ujh2nmh5 52 31 rates rate NNS cord-329357-ujh2nmh5 52 32 α1 α1 VBP cord-329357-ujh2nmh5 52 33 and and CC cord-329357-ujh2nmh5 52 34 α2 α2 NN cord-329357-ujh2nmh5 52 35 . . . cord-329357-ujh2nmh5 53 1 In in IN cord-329357-ujh2nmh5 53 2 the the DT cord-329357-ujh2nmh5 53 3 second second JJ cord-329357-ujh2nmh5 53 4 step step NN cord-329357-ujh2nmh5 53 5 , , , cord-329357-ujh2nmh5 53 6 we -PRON- PRP cord-329357-ujh2nmh5 53 7 estimate estimate VBP cord-329357-ujh2nmh5 53 8 the the DT cord-329357-ujh2nmh5 53 9 mortality mortality NN cord-329357-ujh2nmh5 53 10 rate rate NN cord-329357-ujh2nmh5 53 11 , , , cord-329357-ujh2nmh5 53 12 µ µ NN cord-329357-ujh2nmh5 53 13 , , , cord-329357-ujh2nmh5 53 14 and and CC cord-329357-ujh2nmh5 53 15 the the DT cord-329357-ujh2nmh5 53 16 recovery recovery NN cord-329357-ujh2nmh5 53 17 rate rate NN cord-329357-ujh2nmh5 53 18 , , , cord-329357-ujh2nmh5 53 19 γ γ NN cord-329357-ujh2nmh5 53 20 . . . cord-329357-ujh2nmh5 54 1 In in IN cord-329357-ujh2nmh5 54 2 the the DT cord-329357-ujh2nmh5 54 3 third third JJ cord-329357-ujh2nmh5 54 4 step step NN cord-329357-ujh2nmh5 54 5 , , , cord-329357-ujh2nmh5 54 6 we -PRON- PRP cord-329357-ujh2nmh5 54 7 evaluate evaluate VBP cord-329357-ujh2nmh5 54 8 the the DT cord-329357-ujh2nmh5 54 9 parameters parameter NNS cord-329357-ujh2nmh5 54 10 τ1 τ1 NN cord-329357-ujh2nmh5 54 11 and and CC cord-329357-ujh2nmh5 54 12 τ2 τ2 NNP cord-329357-ujh2nmh5 54 13 by by IN cord-329357-ujh2nmh5 54 14 an an DT cord-329357-ujh2nmh5 54 15 optimization optimization NN cord-329357-ujh2nmh5 54 16 method method NN cord-329357-ujh2nmh5 54 17 . . . cord-329357-ujh2nmh5 55 1 The the DT cord-329357-ujh2nmh5 55 2 program program NN cord-329357-ujh2nmh5 55 3 is be VBZ cord-329357-ujh2nmh5 55 4 available available JJ cord-329357-ujh2nmh5 55 5 for for IN cord-329357-ujh2nmh5 55 6 download download NN cord-329357-ujh2nmh5 55 7 1 1 CD cord-329357-ujh2nmh5 55 8 . . . cord-329357-ujh2nmh5 56 1 We -PRON- PRP cord-329357-ujh2nmh5 56 2 used use VBD cord-329357-ujh2nmh5 56 3 the the DT cord-329357-ujh2nmh5 56 4 Tunisian Tunisian NNP cord-329357-ujh2nmh5 56 5 Health Health NNP cord-329357-ujh2nmh5 56 6 Commission Commission NNP cord-329357-ujh2nmh5 56 7 2 2 CD cord-329357-ujh2nmh5 56 8 data data NN cord-329357-ujh2nmh5 56 9 - - HYPH cord-329357-ujh2nmh5 56 10 set set NN cord-329357-ujh2nmh5 56 11 of of IN cord-329357-ujh2nmh5 56 12 reported report VBN cord-329357-ujh2nmh5 56 13 data datum NNS cord-329357-ujh2nmh5 56 14 to to TO cord-329357-ujh2nmh5 56 15 model model VB cord-329357-ujh2nmh5 56 16 the the DT cord-329357-ujh2nmh5 56 17 epidemic epidemic NN cord-329357-ujh2nmh5 56 18 in in IN cord-329357-ujh2nmh5 56 19 Tunisia Tunisia NNP cord-329357-ujh2nmh5 56 20 . . . cord-329357-ujh2nmh5 57 1 It -PRON- PRP cord-329357-ujh2nmh5 57 2 represents represent VBZ cord-329357-ujh2nmh5 57 3 the the DT cord-329357-ujh2nmh5 57 4 daily daily JJ cord-329357-ujh2nmh5 57 5 new new JJ cord-329357-ujh2nmh5 57 6 - - HYPH cord-329357-ujh2nmh5 57 7 cases case NNS cord-329357-ujh2nmh5 57 8 , , , cord-329357-ujh2nmh5 57 9 death death NN cord-329357-ujh2nmh5 57 10 , , , cord-329357-ujh2nmh5 57 11 and and CC cord-329357-ujh2nmh5 57 12 recoveries recovery NNS cord-329357-ujh2nmh5 57 13 in in IN cord-329357-ujh2nmh5 57 14 Tunisia Tunisia NNP cord-329357-ujh2nmh5 57 15 . . . cord-329357-ujh2nmh5 58 1 The the DT cord-329357-ujh2nmh5 58 2 first first JJ cord-329357-ujh2nmh5 58 3 case case NN cord-329357-ujh2nmh5 58 4 was be VBD cord-329357-ujh2nmh5 58 5 detected detect VBN cord-329357-ujh2nmh5 58 6 on on IN cord-329357-ujh2nmh5 58 7 March March NNP cord-329357-ujh2nmh5 58 8 2 2 CD cord-329357-ujh2nmh5 58 9 , , , cord-329357-ujh2nmh5 58 10 2020 2020 CD cord-329357-ujh2nmh5 58 11 . . . cord-329357-ujh2nmh5 59 1 To to TO cord-329357-ujh2nmh5 59 2 estimate estimate VB cord-329357-ujh2nmh5 59 3 the the DT cord-329357-ujh2nmh5 59 4 initial initial JJ cord-329357-ujh2nmh5 59 5 conditions condition NNS cord-329357-ujh2nmh5 59 6 As(t0 As(t0 NFP cord-329357-ujh2nmh5 59 7 ) ) -RRB- cord-329357-ujh2nmh5 60 1 and and CC cord-329357-ujh2nmh5 60 2 I(t0 I(t0 NNP cord-329357-ujh2nmh5 60 3 ) ) -RRB- cord-329357-ujh2nmh5 60 4 and and CC cord-329357-ujh2nmh5 60 5 parameters parameter NNS cord-329357-ujh2nmh5 60 6 α1 α1 VBP cord-329357-ujh2nmh5 60 7 and and CC cord-329357-ujh2nmh5 60 8 α2 α2 DT cord-329357-ujh2nmh5 60 9 , , , cord-329357-ujh2nmh5 60 10 we -PRON- PRP cord-329357-ujh2nmh5 60 11 fix fix VBP cord-329357-ujh2nmh5 60 12 S0 s0 NN cord-329357-ujh2nmh5 60 13 = = SYM cord-329357-ujh2nmh5 60 14 11694720 11694720 CD cord-329357-ujh2nmh5 60 15 , , , cord-329357-ujh2nmh5 60 16 which which WDT cord-329357-ujh2nmh5 60 17 corresponds correspond VBZ cord-329357-ujh2nmh5 60 18 to to IN cord-329357-ujh2nmh5 60 19 the the DT cord-329357-ujh2nmh5 60 20 total total JJ cord-329357-ujh2nmh5 60 21 population population NN cord-329357-ujh2nmh5 60 22 of of IN cord-329357-ujh2nmh5 60 23 Tunisia Tunisia NNP cord-329357-ujh2nmh5 60 24 and and CC cord-329357-ujh2nmh5 60 25 assume assume VB cord-329357-ujh2nmh5 60 26 that that IN cord-329357-ujh2nmh5 60 27 the the DT cord-329357-ujh2nmh5 60 28 variation variation NN cord-329357-ujh2nmh5 60 29 in in IN cord-329357-ujh2nmh5 60 30 S(t S(t NNP cord-329357-ujh2nmh5 60 31 ) ) -RRB- cord-329357-ujh2nmh5 60 32 is be VBZ cord-329357-ujh2nmh5 60 33 small small JJ cord-329357-ujh2nmh5 60 34 during during IN cord-329357-ujh2nmh5 60 35 the the DT cord-329357-ujh2nmh5 60 36 period period NN cord-329357-ujh2nmh5 60 37 consider consider VB cord-329357-ujh2nmh5 60 38 . . . cord-329357-ujh2nmh5 61 1 We -PRON- PRP cord-329357-ujh2nmh5 61 2 also also RB cord-329357-ujh2nmh5 61 3 fix fix VBP cord-329357-ujh2nmh5 61 4 the the DT cord-329357-ujh2nmh5 61 5 parameters parameter NNS cord-329357-ujh2nmh5 61 6 β β NN cord-329357-ujh2nmh5 61 7 , , , cord-329357-ujh2nmh5 61 8 γ γ NNP cord-329357-ujh2nmh5 61 9 , , , cord-329357-ujh2nmh5 61 10 τ1 τ1 NNP cord-329357-ujh2nmh5 61 11 and and CC cord-329357-ujh2nmh5 61 12 τ2 τ2 NNP cord-329357-ujh2nmh5 61 13 . . . cord-329357-ujh2nmh5 62 1 For for IN cord-329357-ujh2nmh5 62 2 this this DT cord-329357-ujh2nmh5 62 3 estimation estimation NN cord-329357-ujh2nmh5 62 4 , , , cord-329357-ujh2nmh5 62 5 we -PRON- PRP cord-329357-ujh2nmh5 62 6 adapt adapt VBP cord-329357-ujh2nmh5 62 7 the the DT cord-329357-ujh2nmh5 62 8 method method NN cord-329357-ujh2nmh5 62 9 developed develop VBN cord-329357-ujh2nmh5 62 10 by by IN cord-329357-ujh2nmh5 62 11 [ [ -LRB- cord-329357-ujh2nmh5 62 12 4 4 CD cord-329357-ujh2nmh5 62 13 ] ] -RRB- cord-329357-ujh2nmh5 62 14 in in IN cord-329357-ujh2nmh5 62 15 our -PRON- PRP$ cord-329357-ujh2nmh5 62 16 case case NN cord-329357-ujh2nmh5 62 17 . . . cord-329357-ujh2nmh5 63 1 Let let VB cord-329357-ujh2nmh5 63 2 CRt CRt NNS cord-329357-ujh2nmh5 63 3 ) ) -RRB- cord-329357-ujh2nmh5 64 1 the the DT cord-329357-ujh2nmh5 64 2 cumulative cumulative JJ cord-329357-ujh2nmh5 64 3 number number NN cord-329357-ujh2nmh5 64 4 of of IN cord-329357-ujh2nmh5 64 5 reported report VBN cord-329357-ujh2nmh5 64 6 infectious infectious JJ cord-329357-ujh2nmh5 64 7 cases case NNS cord-329357-ujh2nmh5 64 8 at at IN cord-329357-ujh2nmh5 64 9 time time NN cord-329357-ujh2nmh5 64 10 t t NN cord-329357-ujh2nmh5 64 11 , , , cord-329357-ujh2nmh5 64 12 defined define VBN cord-329357-ujh2nmh5 64 13 by by IN cord-329357-ujh2nmh5 64 14 , , , cord-329357-ujh2nmh5 64 15 Let let VB cord-329357-ujh2nmh5 64 16 's -PRON- PRP cord-329357-ujh2nmh5 64 17 assume assume VB cord-329357-ujh2nmh5 64 18 that that IN cord-329357-ujh2nmh5 64 19 CR(t CR(t NNP cord-329357-ujh2nmh5 64 20 ) ) -RRB- cord-329357-ujh2nmh5 64 21 = = NFP cord-329357-ujh2nmh5 65 1 χ1 χ1 RB cord-329357-ujh2nmh5 65 2 exp(χ2 exp(χ2 NNP cord-329357-ujh2nmh5 65 3 t t NN cord-329357-ujh2nmh5 65 4 ) ) -RRB- cord-329357-ujh2nmh5 65 5 − − NN cord-329357-ujh2nmh5 65 6 χ3 χ3 NNP cord-329357-ujh2nmh5 65 7 with with IN cord-329357-ujh2nmh5 65 8 χ χ NNP cord-329357-ujh2nmh5 65 9 , , , cord-329357-ujh2nmh5 65 10 χ2 χ2 NNP cord-329357-ujh2nmh5 65 11 and and CC cord-329357-ujh2nmh5 65 12 χ3 χ3 NNP cord-329357-ujh2nmh5 65 13 three three CD cord-329357-ujh2nmh5 65 14 positive positive JJ cord-329357-ujh2nmh5 65 15 parameters parameter NNS cord-329357-ujh2nmh5 65 16 that that WDT cord-329357-ujh2nmh5 65 17 we -PRON- PRP cord-329357-ujh2nmh5 65 18 estimate estimate VBP cord-329357-ujh2nmh5 65 19 using use VBG cord-329357-ujh2nmh5 65 20 log log NN cord-329357-ujh2nmh5 65 21 - - HYPH cord-329357-ujh2nmh5 65 22 linear linear JJ cord-329357-ujh2nmh5 65 23 regression regression NN cord-329357-ujh2nmh5 65 24 on on IN cord-329357-ujh2nmh5 65 25 cases case NNS cord-329357-ujh2nmh5 65 26 data datum NNS cord-329357-ujh2nmh5 65 27 ( ( -LRB- cord-329357-ujh2nmh5 65 28 see see VB cord-329357-ujh2nmh5 65 29 figure figure NN cord-329357-ujh2nmh5 65 30 2 2 CD cord-329357-ujh2nmh5 65 31 and and CC cord-329357-ujh2nmh5 65 32 table table NN cord-329357-ujh2nmh5 65 33 2 2 CD cord-329357-ujh2nmh5 65 34 ) ) -RRB- cord-329357-ujh2nmh5 65 35 . . . cord-329357-ujh2nmh5 65 36 _SP cord-329357-ujh2nmh5 66 1 We -PRON- PRP cord-329357-ujh2nmh5 66 2 obtain obtain VBP cord-329357-ujh2nmh5 66 3 the the DT cord-329357-ujh2nmh5 66 4 model model NN cord-329357-ujh2nmh5 66 5 starting start VBG cord-329357-ujh2nmh5 66 6 time time NN cord-329357-ujh2nmh5 66 7 of of IN cord-329357-ujh2nmh5 66 8 the the DT cord-329357-ujh2nmh5 66 9 epidemic epidemic NN cord-329357-ujh2nmh5 66 10 t0 t0 NN cord-329357-ujh2nmh5 66 11 by by IN cord-329357-ujh2nmh5 66 12 assuming assume VBG cord-329357-ujh2nmh5 66 13 that that IN cord-329357-ujh2nmh5 66 14 CR(t0 CR(t0 NNP cord-329357-ujh2nmh5 66 15 ) ) -RRB- cord-329357-ujh2nmh5 66 16 = = SYM cord-329357-ujh2nmh5 66 17 0 0 NFP cord-329357-ujh2nmh5 67 1 and and CC cord-329357-ujh2nmh5 67 2 therefore therefore RB cord-329357-ujh2nmh5 67 3 equation equation NN cord-329357-ujh2nmh5 67 4 ( ( -LRB- cord-329357-ujh2nmh5 67 5 3 3 CD cord-329357-ujh2nmh5 67 6 ) ) -RRB- cord-329357-ujh2nmh5 67 7 implies imply VBZ cord-329357-ujh2nmh5 67 8 that that DT cord-329357-ujh2nmh5 67 9 : : : cord-329357-ujh2nmh5 68 1 1 1 CD cord-329357-ujh2nmh5 68 2 https://github.com/MayaraLatrech/covid19_sasymodel.git https://github.com/mayaralatrech/covid19_sasymodel.git CD cord-329357-ujh2nmh5 68 3 2 2 CD cord-329357-ujh2nmh5 69 1 https://covid-19.tn/ https://covid-19.tn/ NNP cord-329357-ujh2nmh5 69 2 4 4 CD cord-329357-ujh2nmh5 69 3 . . . cord-329357-ujh2nmh5 70 1 CC CC NNP cord-329357-ujh2nmh5 70 2 - - HYPH cord-329357-ujh2nmh5 70 3 BY BY NNP cord-329357-ujh2nmh5 70 4 - - HYPH cord-329357-ujh2nmh5 70 5 NC NC NNP cord-329357-ujh2nmh5 70 6 - - HYPH cord-329357-ujh2nmh5 70 7 ND ND NNP cord-329357-ujh2nmh5 70 8 4.0 4.0 CD cord-329357-ujh2nmh5 70 9 International international JJ cord-329357-ujh2nmh5 70 10 license license NN cord-329357-ujh2nmh5 71 1 It -PRON- PRP cord-329357-ujh2nmh5 71 2 is be VBZ cord-329357-ujh2nmh5 71 3 made make VBN cord-329357-ujh2nmh5 71 4 available available JJ cord-329357-ujh2nmh5 71 5 under under IN cord-329357-ujh2nmh5 71 6 a a DT cord-329357-ujh2nmh5 72 1 is be VBZ cord-329357-ujh2nmh5 72 2 the the DT cord-329357-ujh2nmh5 72 3 author author NN cord-329357-ujh2nmh5 72 4 / / SYM cord-329357-ujh2nmh5 72 5 funder funder NN cord-329357-ujh2nmh5 72 6 , , , cord-329357-ujh2nmh5 72 7 who who WP cord-329357-ujh2nmh5 72 8 has have VBZ cord-329357-ujh2nmh5 72 9 granted grant VBN cord-329357-ujh2nmh5 72 10 medRxiv medRxiv NNS cord-329357-ujh2nmh5 72 11 a a DT cord-329357-ujh2nmh5 72 12 license license NN cord-329357-ujh2nmh5 72 13 to to TO cord-329357-ujh2nmh5 72 14 display display VB cord-329357-ujh2nmh5 72 15 the the DT cord-329357-ujh2nmh5 72 16 preprint preprint NN cord-329357-ujh2nmh5 72 17 in in IN cord-329357-ujh2nmh5 72 18 perpetuity perpetuity NN cord-329357-ujh2nmh5 72 19 . . . cord-329357-ujh2nmh5 73 1 The the DT cord-329357-ujh2nmh5 73 2 copyright copyright NN cord-329357-ujh2nmh5 73 3 holder holder NN cord-329357-ujh2nmh5 73 4 for for IN cord-329357-ujh2nmh5 73 5 this this DT cord-329357-ujh2nmh5 73 6 preprint preprint NN cord-329357-ujh2nmh5 73 7 this this DT cord-329357-ujh2nmh5 73 8 version version NN cord-329357-ujh2nmh5 73 9 posted post VBN cord-329357-ujh2nmh5 73 10 May May NNP cord-329357-ujh2nmh5 73 11 6 6 CD cord-329357-ujh2nmh5 73 12 , , , cord-329357-ujh2nmh5 73 13 2020 2020 CD cord-329357-ujh2nmh5 73 14 . . . cord-329357-ujh2nmh5 74 1 For for IN cord-329357-ujh2nmh5 74 2 now now RB cord-329357-ujh2nmh5 74 3 , , , cord-329357-ujh2nmh5 74 4 we -PRON- PRP cord-329357-ujh2nmh5 74 5 assume assume VBP cord-329357-ujh2nmh5 74 6 that that IN cord-329357-ujh2nmh5 74 7 α2 α2 NN cord-329357-ujh2nmh5 74 8 = = NFP cord-329357-ujh2nmh5 74 9 f f NNP cord-329357-ujh2nmh5 74 10 α1 α1 FW cord-329357-ujh2nmh5 74 11 with with IN cord-329357-ujh2nmh5 74 12 f f NNP cord-329357-ujh2nmh5 74 13 a a DT cord-329357-ujh2nmh5 74 14 fixed fix VBN cord-329357-ujh2nmh5 74 15 parameter parameter NN cord-329357-ujh2nmh5 74 16 bigger big JJR cord-329357-ujh2nmh5 74 17 than than IN cord-329357-ujh2nmh5 74 18 1 1 CD cord-329357-ujh2nmh5 74 19 and and CC cord-329357-ujh2nmh5 74 20 let let VB cord-329357-ujh2nmh5 74 21 's -PRON- PRP cord-329357-ujh2nmh5 74 22 τ τ VB cord-329357-ujh2nmh5 74 23 = = SYM cord-329357-ujh2nmh5 74 24 τ2 τ2 NNP cord-329357-ujh2nmh5 74 25 / / SYM cord-329357-ujh2nmh5 74 26 τ1 τ1 NN cord-329357-ujh2nmh5 74 27 . . . cord-329357-ujh2nmh5 75 1 Then then RB cord-329357-ujh2nmh5 75 2 , , , cord-329357-ujh2nmh5 75 3 by by IN cord-329357-ujh2nmh5 75 4 following follow VBG cord-329357-ujh2nmh5 75 5 using use VBG cord-329357-ujh2nmh5 75 6 the the DT cord-329357-ujh2nmh5 75 7 approach approach NN cord-329357-ujh2nmh5 75 8 described describe VBN cord-329357-ujh2nmh5 75 9 in in IN cord-329357-ujh2nmh5 75 10 the the DT cord-329357-ujh2nmh5 75 11 step step NN cord-329357-ujh2nmh5 75 12 1 1 CD cord-329357-ujh2nmh5 75 13 of of IN cord-329357-ujh2nmh5 75 14 section section NN cord-329357-ujh2nmh5 75 15 A.2 a.2 NN cord-329357-ujh2nmh5 75 16 , , , cord-329357-ujh2nmh5 75 17 we -PRON- PRP cord-329357-ujh2nmh5 75 18 have have VBP cord-329357-ujh2nmh5 75 19 : : : cord-329357-ujh2nmh5 76 1 In in IN cord-329357-ujh2nmh5 76 2 figure figure NN cord-329357-ujh2nmh5 76 3 3 3 CD cord-329357-ujh2nmh5 76 4 , , , cord-329357-ujh2nmh5 76 5 we -PRON- PRP cord-329357-ujh2nmh5 76 6 plotted plot VBD cord-329357-ujh2nmh5 76 7 the the DT cord-329357-ujh2nmh5 76 8 number number NN cord-329357-ujh2nmh5 76 9 of of IN cord-329357-ujh2nmh5 76 10 individuals individual NNS cord-329357-ujh2nmh5 76 11 in in IN cord-329357-ujh2nmh5 76 12 quarantine quarantine NN cord-329357-ujh2nmh5 76 13 without without IN cord-329357-ujh2nmh5 76 14 curfew curfew NN cord-329357-ujh2nmh5 76 15 predicted predict VBN cord-329357-ujh2nmh5 76 16 by by IN cord-329357-ujh2nmh5 76 17 the the DT cord-329357-ujh2nmh5 76 18 ODE ODE NNP cord-329357-ujh2nmh5 76 19 model model NN cord-329357-ujh2nmh5 76 20 , , , cord-329357-ujh2nmh5 76 21 Q(t Q(t NNP cord-329357-ujh2nmh5 76 22 ) ) -RRB- cord-329357-ujh2nmh5 77 1 i.e. i.e. FW cord-329357-ujh2nmh5 77 2 the the DT cord-329357-ujh2nmh5 77 3 number number NN cord-329357-ujh2nmh5 77 4 of of IN cord-329357-ujh2nmh5 77 5 diagnosed diagnosed JJ cord-329357-ujh2nmh5 77 6 cases case NNS cord-329357-ujh2nmh5 77 7 per per IN cord-329357-ujh2nmh5 77 8 day day NN cord-329357-ujh2nmh5 77 9 and and CC cord-329357-ujh2nmh5 77 10 compared compare VBN cord-329357-ujh2nmh5 77 11 to to IN cord-329357-ujh2nmh5 77 12 the the DT cord-329357-ujh2nmh5 77 13 Tunisians Tunisians NNP cord-329357-ujh2nmh5 77 14 data datum NNS cord-329357-ujh2nmh5 77 15 . . . cord-329357-ujh2nmh5 78 1 We -PRON- PRP cord-329357-ujh2nmh5 78 2 observe observe VBP cord-329357-ujh2nmh5 78 3 that that IN cord-329357-ujh2nmh5 78 4 from from IN cord-329357-ujh2nmh5 78 5 the the DT cord-329357-ujh2nmh5 78 6 20th 20th JJ cord-329357-ujh2nmh5 78 7 day day NN cord-329357-ujh2nmh5 78 8 onwards onwards RB cord-329357-ujh2nmh5 78 9 , , , cord-329357-ujh2nmh5 78 10 the the DT cord-329357-ujh2nmh5 78 11 simulated simulated JJ cord-329357-ujh2nmh5 78 12 curve curve NN cord-329357-ujh2nmh5 78 13 deviates deviate VBZ cord-329357-ujh2nmh5 78 14 from from IN cord-329357-ujh2nmh5 78 15 the the DT cord-329357-ujh2nmh5 78 16 observed observed JJ cord-329357-ujh2nmh5 78 17 data datum NNS cord-329357-ujh2nmh5 78 18 . . . cord-329357-ujh2nmh5 79 1 This this DT cord-329357-ujh2nmh5 79 2 deviation deviation NN cord-329357-ujh2nmh5 79 3 is be VBZ cord-329357-ujh2nmh5 79 4 due due JJ cord-329357-ujh2nmh5 79 5 to to IN cord-329357-ujh2nmh5 79 6 the the DT cord-329357-ujh2nmh5 79 7 epidemic epidemic NN cord-329357-ujh2nmh5 79 8 control control NN cord-329357-ujh2nmh5 79 9 policies policy NNS cord-329357-ujh2nmh5 79 10 put put VBN cord-329357-ujh2nmh5 79 11 in in IN cord-329357-ujh2nmh5 79 12 place place NN cord-329357-ujh2nmh5 79 13 between between IN cord-329357-ujh2nmh5 79 14 20 20 CD cord-329357-ujh2nmh5 79 15 and and CC cord-329357-ujh2nmh5 79 16 25 25 CD cord-329357-ujh2nmh5 79 17 March March NNP cord-329357-ujh2nmh5 79 18 ( ( -LRB- cord-329357-ujh2nmh5 79 19 closure closure NN cord-329357-ujh2nmh5 79 20 of of IN cord-329357-ujh2nmh5 79 21 cafes cafe NNS cord-329357-ujh2nmh5 79 22 shops shop NNS cord-329357-ujh2nmh5 79 23 and and CC cord-329357-ujh2nmh5 79 24 the the DT cord-329357-ujh2nmh5 79 25 introduction introduction NN cord-329357-ujh2nmh5 79 26 of of IN cord-329357-ujh2nmh5 79 27 a a DT cord-329357-ujh2nmh5 79 28 curfew curfew NN cord-329357-ujh2nmh5 79 29 ) ) -RRB- cord-329357-ujh2nmh5 79 30 . . . cord-329357-ujh2nmh5 79 31 . . . cord-329357-ujh2nmh5 80 1 CC CC NNP cord-329357-ujh2nmh5 80 2 - - HYPH cord-329357-ujh2nmh5 80 3 BY BY NNP cord-329357-ujh2nmh5 80 4 - - HYPH cord-329357-ujh2nmh5 80 5 NC NC NNP cord-329357-ujh2nmh5 80 6 - - HYPH cord-329357-ujh2nmh5 80 7 ND ND NNP cord-329357-ujh2nmh5 80 8 4.0 4.0 CD cord-329357-ujh2nmh5 80 9 International international JJ cord-329357-ujh2nmh5 80 10 license license NN cord-329357-ujh2nmh5 81 1 It -PRON- PRP cord-329357-ujh2nmh5 81 2 is be VBZ cord-329357-ujh2nmh5 81 3 made make VBN cord-329357-ujh2nmh5 81 4 available available JJ cord-329357-ujh2nmh5 81 5 under under IN cord-329357-ujh2nmh5 81 6 a a DT cord-329357-ujh2nmh5 82 1 is be VBZ cord-329357-ujh2nmh5 82 2 the the DT cord-329357-ujh2nmh5 82 3 author author NN cord-329357-ujh2nmh5 82 4 / / SYM cord-329357-ujh2nmh5 82 5 funder funder NN cord-329357-ujh2nmh5 82 6 , , , cord-329357-ujh2nmh5 82 7 who who WP cord-329357-ujh2nmh5 82 8 has have VBZ cord-329357-ujh2nmh5 82 9 granted grant VBN cord-329357-ujh2nmh5 82 10 medRxiv medRxiv NNS cord-329357-ujh2nmh5 82 11 a a DT cord-329357-ujh2nmh5 82 12 license license NN cord-329357-ujh2nmh5 82 13 to to TO cord-329357-ujh2nmh5 82 14 display display VB cord-329357-ujh2nmh5 82 15 the the DT cord-329357-ujh2nmh5 82 16 preprint preprint NN cord-329357-ujh2nmh5 82 17 in in IN cord-329357-ujh2nmh5 82 18 perpetuity perpetuity NN cord-329357-ujh2nmh5 82 19 . . . cord-329357-ujh2nmh5 83 1 The the DT cord-329357-ujh2nmh5 83 2 copyright copyright NN cord-329357-ujh2nmh5 83 3 holder holder NN cord-329357-ujh2nmh5 83 4 for for IN cord-329357-ujh2nmh5 83 5 this this DT cord-329357-ujh2nmh5 83 6 preprint preprint NN cord-329357-ujh2nmh5 83 7 this this DT cord-329357-ujh2nmh5 83 8 version version NN cord-329357-ujh2nmh5 83 9 posted post VBN cord-329357-ujh2nmh5 83 10 May May NNP cord-329357-ujh2nmh5 83 11 6 6 CD cord-329357-ujh2nmh5 83 12 , , , cord-329357-ujh2nmh5 83 13 2020 2020 CD cord-329357-ujh2nmh5 83 14 . . . cord-329357-ujh2nmh5 84 1 figure figure NN cord-329357-ujh2nmh5 84 2 4 4 CD cord-329357-ujh2nmh5 85 1 we -PRON- PRP cord-329357-ujh2nmh5 85 2 study study VBP cord-329357-ujh2nmh5 85 3 the the DT cord-329357-ujh2nmh5 85 4 effect effect NN cord-329357-ujh2nmh5 85 5 of of IN cord-329357-ujh2nmh5 85 6 the the DT cord-329357-ujh2nmh5 85 7 curfew curfew NN cord-329357-ujh2nmh5 85 8 installed instal VBN cord-329357-ujh2nmh5 85 9 by by IN cord-329357-ujh2nmh5 85 10 the the DT cord-329357-ujh2nmh5 85 11 Tunisian tunisian JJ cord-329357-ujh2nmh5 85 12 state state NN cord-329357-ujh2nmh5 85 13 since since IN cord-329357-ujh2nmh5 85 14 March March NNP cord-329357-ujh2nmh5 85 15 20 20 CD cord-329357-ujh2nmh5 85 16 , , , cord-329357-ujh2nmh5 85 17 2020 2020 CD cord-329357-ujh2nmh5 85 18 , , , cord-329357-ujh2nmh5 85 19 on on IN cord-329357-ujh2nmh5 85 20 the the DT cord-329357-ujh2nmh5 85 21 number number NN cord-329357-ujh2nmh5 85 22 of of IN cord-329357-ujh2nmh5 85 23 infected infected JJ cord-329357-ujh2nmh5 85 24 people people NNS cord-329357-ujh2nmh5 85 25 reported report VBN cord-329357-ujh2nmh5 85 26 by by IN cord-329357-ujh2nmh5 85 27 the the DT cord-329357-ujh2nmh5 85 28 state state NN cord-329357-ujh2nmh5 85 29 . . . cord-329357-ujh2nmh5 86 1 Figure figure NN cord-329357-ujh2nmh5 86 2 4 4 CD cord-329357-ujh2nmh5 86 3 shows show VBZ cord-329357-ujh2nmh5 86 4 the the DT cord-329357-ujh2nmh5 86 5 effect effect NN cord-329357-ujh2nmh5 86 6 of of IN cord-329357-ujh2nmh5 86 7 two two CD cord-329357-ujh2nmh5 86 8 curfew curfew NN cord-329357-ujh2nmh5 86 9 strategies strategy NNS cord-329357-ujh2nmh5 86 10 on on IN cord-329357-ujh2nmh5 86 11 the the DT cord-329357-ujh2nmh5 86 12 dynamics dynamic NNS cord-329357-ujh2nmh5 86 13 of of IN cord-329357-ujh2nmh5 86 14 the the DT cord-329357-ujh2nmh5 86 15 epidemic epidemic NN cord-329357-ujh2nmh5 86 16 : : : cord-329357-ujh2nmh5 86 17 a a DT cord-329357-ujh2nmh5 86 18 12-hour 12-hour CD cord-329357-ujh2nmh5 86 19 curfew curfew NN cord-329357-ujh2nmh5 86 20 ( ( -LRB- cord-329357-ujh2nmh5 86 21 the the DT cord-329357-ujh2nmh5 86 22 chosen choose VBN cord-329357-ujh2nmh5 86 23 Tunisian tunisian JJ cord-329357-ujh2nmh5 86 24 policy policy NN cord-329357-ujh2nmh5 86 25 ) ) -RRB- cord-329357-ujh2nmh5 86 26 and and CC cord-329357-ujh2nmh5 86 27 an an DT cord-329357-ujh2nmh5 86 28 18-hour 18-hour CD cord-329357-ujh2nmh5 86 29 curfew curfew NN cord-329357-ujh2nmh5 86 30 ( ( -LRB- cord-329357-ujh2nmh5 86 31 a a DT cord-329357-ujh2nmh5 86 32 more more RBR cord-329357-ujh2nmh5 86 33 restrictive restrictive JJ cord-329357-ujh2nmh5 86 34 policy policy NN cord-329357-ujh2nmh5 86 35 ) ) -RRB- cord-329357-ujh2nmh5 86 36 . . . cord-329357-ujh2nmh5 87 1 During during IN cord-329357-ujh2nmh5 87 2 the the DT cord-329357-ujh2nmh5 87 3 period period NN cord-329357-ujh2nmh5 87 4 of of IN cord-329357-ujh2nmh5 87 5 curfew curfew NN cord-329357-ujh2nmh5 87 6 , , , cord-329357-ujh2nmh5 87 7 the the DT cord-329357-ujh2nmh5 87 8 rate rate NN cord-329357-ujh2nmh5 87 9 of of IN cord-329357-ujh2nmh5 87 10 infection infection NN cord-329357-ujh2nmh5 87 11 α1 α1 NN cord-329357-ujh2nmh5 87 12 is be VBZ cord-329357-ujh2nmh5 87 13 divided divide VBN cord-329357-ujh2nmh5 87 14 by by IN cord-329357-ujh2nmh5 87 15 100 100 CD cord-329357-ujh2nmh5 87 16 . . . cord-329357-ujh2nmh5 88 1 In in IN cord-329357-ujh2nmh5 88 2 Figure figure NN cord-329357-ujh2nmh5 88 3 4 4 CD cord-329357-ujh2nmh5 88 4 ( ( -LRB- cord-329357-ujh2nmh5 88 5 a a LS cord-329357-ujh2nmh5 88 6 ) ) -RRB- cord-329357-ujh2nmh5 88 7 , , , cord-329357-ujh2nmh5 88 8 it -PRON- PRP cord-329357-ujh2nmh5 88 9 can can MD cord-329357-ujh2nmh5 88 10 be be VB cord-329357-ujh2nmh5 88 11 seen see VBN cord-329357-ujh2nmh5 88 12 that that IN cord-329357-ujh2nmh5 88 13 , , , cord-329357-ujh2nmh5 88 14 for for IN cord-329357-ujh2nmh5 88 15 the the DT cord-329357-ujh2nmh5 88 16 chosen choose VBN cord-329357-ujh2nmh5 88 17 policy policy NN cord-329357-ujh2nmh5 88 18 to to TO cord-329357-ujh2nmh5 88 19 maintains maintain VBZ cord-329357-ujh2nmh5 88 20 a a DT cord-329357-ujh2nmh5 88 21 12-hour 12-hour JJ cord-329357-ujh2nmh5 88 22 curfew curfew NN cord-329357-ujh2nmh5 88 23 for for IN cord-329357-ujh2nmh5 88 24 100 100 CD cord-329357-ujh2nmh5 88 25 days day NNS cord-329357-ujh2nmh5 88 26 , , , cord-329357-ujh2nmh5 88 27 the the DT cord-329357-ujh2nmh5 88 28 epidemiological epidemiological JJ cord-329357-ujh2nmh5 88 29 peak peak NN cord-329357-ujh2nmh5 88 30 in in IN cord-329357-ujh2nmh5 88 31 terms term NNS cord-329357-ujh2nmh5 88 32 of of IN cord-329357-ujh2nmh5 88 33 the the DT cord-329357-ujh2nmh5 88 34 number number NN cord-329357-ujh2nmh5 88 35 of of IN cord-329357-ujh2nmh5 88 36 reported report VBN cord-329357-ujh2nmh5 88 37 infected infect VBN cord-329357-ujh2nmh5 88 38 is be VBZ cord-329357-ujh2nmh5 88 39 reached reach VBN cord-329357-ujh2nmh5 88 40 after after IN cord-329357-ujh2nmh5 88 41 about about RB cord-329357-ujh2nmh5 88 42 50 50 CD cord-329357-ujh2nmh5 88 43 days day NNS cord-329357-ujh2nmh5 88 44 with with IN cord-329357-ujh2nmh5 88 45 a a DT cord-329357-ujh2nmh5 88 46 value value NN cord-329357-ujh2nmh5 88 47 equal equal JJ cord-329357-ujh2nmh5 88 48 to to IN cord-329357-ujh2nmh5 88 49 953 953 CD cord-329357-ujh2nmh5 88 50 . . . cord-329357-ujh2nmh5 89 1 After after IN cord-329357-ujh2nmh5 89 2 the the DT cord-329357-ujh2nmh5 89 3 peak peak NN cord-329357-ujh2nmh5 89 4 , , , cord-329357-ujh2nmh5 89 5 we -PRON- PRP cord-329357-ujh2nmh5 89 6 observe observe VBP cord-329357-ujh2nmh5 89 7 a a DT cord-329357-ujh2nmh5 89 8 slow slow JJ cord-329357-ujh2nmh5 89 9 decrease decrease NN cord-329357-ujh2nmh5 89 10 in in IN cord-329357-ujh2nmh5 89 11 the the DT cord-329357-ujh2nmh5 89 12 number number NN cord-329357-ujh2nmh5 89 13 of of IN cord-329357-ujh2nmh5 89 14 reported report VBN cord-329357-ujh2nmh5 89 15 infected infected JJ cord-329357-ujh2nmh5 89 16 persons person NNS cord-329357-ujh2nmh5 89 17 . . . cord-329357-ujh2nmh5 90 1 On on IN cord-329357-ujh2nmh5 90 2 the the DT cord-329357-ujh2nmh5 90 3 other other JJ cord-329357-ujh2nmh5 90 4 hand hand NN cord-329357-ujh2nmh5 90 5 , , , cord-329357-ujh2nmh5 90 6 in in IN cord-329357-ujh2nmh5 90 7 the the DT cord-329357-ujh2nmh5 90 8 more more RBR cord-329357-ujh2nmh5 90 9 restrictive restrictive JJ cord-329357-ujh2nmh5 90 10 case case NN cord-329357-ujh2nmh5 90 11 of18 of18 VBZ cord-329357-ujh2nmh5 90 12 hours hour NNS cord-329357-ujh2nmh5 90 13 curfew curfew NN cord-329357-ujh2nmh5 90 14 , , , cord-329357-ujh2nmh5 90 15 the the DT cord-329357-ujh2nmh5 90 16 peak peak NN cord-329357-ujh2nmh5 90 17 would would MD cord-329357-ujh2nmh5 90 18 be be VB cord-329357-ujh2nmh5 90 19 reached reach VBN cord-329357-ujh2nmh5 90 20 more more RBR cord-329357-ujh2nmh5 90 21 quickly quickly RB cord-329357-ujh2nmh5 90 22 after after IN cord-329357-ujh2nmh5 90 23 27 27 CD cord-329357-ujh2nmh5 90 24 days day NNS cord-329357-ujh2nmh5 90 25 with with IN cord-329357-ujh2nmh5 90 26 a a DT cord-329357-ujh2nmh5 90 27 more more RBR cord-329357-ujh2nmh5 90 28 rapid rapid JJ cord-329357-ujh2nmh5 90 29 decrease decrease NN cord-329357-ujh2nmh5 90 30 . . . cord-329357-ujh2nmh5 91 1 These these DT cord-329357-ujh2nmh5 91 2 values value NNS cord-329357-ujh2nmh5 91 3 should should MD cord-329357-ujh2nmh5 91 4 be be VB cord-329357-ujh2nmh5 91 5 compared compare VBN cord-329357-ujh2nmh5 91 6 with with IN cord-329357-ujh2nmh5 91 7 the the DT cord-329357-ujh2nmh5 91 8 774 774 CD cord-329357-ujh2nmh5 91 9 cases case NNS cord-329357-ujh2nmh5 91 10 given give VBN cord-329357-ujh2nmh5 91 11 by by IN cord-329357-ujh2nmh5 91 12 [ [ -LRB- cord-329357-ujh2nmh5 91 13 1 1 CD cord-329357-ujh2nmh5 91 14 ] ] -RRB- cord-329357-ujh2nmh5 91 15 and and CC cord-329357-ujh2nmh5 91 16 the the DT cord-329357-ujh2nmh5 91 17 fact fact NN cord-329357-ujh2nmh5 91 18 that that IN cord-329357-ujh2nmh5 91 19 the the DT cord-329357-ujh2nmh5 91 20 epidemiological epidemiological JJ cord-329357-ujh2nmh5 91 21 peak peak NN cord-329357-ujh2nmh5 91 22 was be VBD cord-329357-ujh2nmh5 91 23 reached reach VBN cord-329357-ujh2nmh5 91 24 around around IN cord-329357-ujh2nmh5 91 25 April April NNP cord-329357-ujh2nmh5 91 26 29 29 CD cord-329357-ujh2nmh5 91 27 , , , cord-329357-ujh2nmh5 91 28 2020 2020 CD cord-329357-ujh2nmh5 91 29 , , , cord-329357-ujh2nmh5 91 30 after after IN cord-329357-ujh2nmh5 91 31 about about IN cord-329357-ujh2nmh5 91 32 58 58 CD cord-329357-ujh2nmh5 91 33 days day NNS cord-329357-ujh2nmh5 91 34 with with IN cord-329357-ujh2nmh5 91 35 a a DT cord-329357-ujh2nmh5 91 36 reported report VBN cord-329357-ujh2nmh5 91 37 infected infected JJ cord-329357-ujh2nmh5 91 38 number number NN cord-329357-ujh2nmh5 91 39 equal equal JJ cord-329357-ujh2nmh5 91 40 to to IN cord-329357-ujh2nmh5 91 41 975 975 CD cord-329357-ujh2nmh5 91 42 . . . cord-329357-ujh2nmh5 92 1 We -PRON- PRP cord-329357-ujh2nmh5 92 2 represent represent VBP cord-329357-ujh2nmh5 92 3 on on IN cord-329357-ujh2nmh5 92 4 figure figure NN cord-329357-ujh2nmh5 92 5 4(b 4(b CD cord-329357-ujh2nmh5 92 6 ) ) -RRB- cord-329357-ujh2nmh5 92 7 , , , cord-329357-ujh2nmh5 92 8 the the DT cord-329357-ujh2nmh5 92 9 number number NN cord-329357-ujh2nmh5 92 10 of of IN cord-329357-ujh2nmh5 92 11 deaths death NNS cord-329357-ujh2nmh5 92 12 by by IN cord-329357-ujh2nmh5 92 13 time time NN cord-329357-ujh2nmh5 92 14 , , , cord-329357-ujh2nmh5 92 15 it -PRON- PRP cord-329357-ujh2nmh5 92 16 appeared appear VBD cord-329357-ujh2nmh5 92 17 that that IN cord-329357-ujh2nmh5 92 18 the the DT cord-329357-ujh2nmh5 92 19 peak peak NN cord-329357-ujh2nmh5 92 20 of of IN cord-329357-ujh2nmh5 92 21 the the DT cord-329357-ujh2nmh5 92 22 deaths death NNS cord-329357-ujh2nmh5 92 23 is be VBZ cord-329357-ujh2nmh5 92 24 shifted shift VBN cord-329357-ujh2nmh5 92 25 to to IN cord-329357-ujh2nmh5 92 26 the the DT cord-329357-ujh2nmh5 92 27 peak peak NN cord-329357-ujh2nmh5 92 28 of of IN cord-329357-ujh2nmh5 92 29 the the DT cord-329357-ujh2nmh5 92 30 infected infect VBN cord-329357-ujh2nmh5 92 31 for for IN cord-329357-ujh2nmh5 92 32 about about RB cord-329357-ujh2nmh5 92 33 50 50 CD cord-329357-ujh2nmh5 92 34 days day NNS cord-329357-ujh2nmh5 92 35 , , , cord-329357-ujh2nmh5 92 36 this this DT cord-329357-ujh2nmh5 92 37 shift shift NN cord-329357-ujh2nmh5 92 38 corresponds correspond VBZ cord-329357-ujh2nmh5 92 39 to to IN cord-329357-ujh2nmh5 92 40 the the DT cord-329357-ujh2nmh5 92 41 hypothesis hypothesis NN cord-329357-ujh2nmh5 92 42 that that WDT cord-329357-ujh2nmh5 92 43 we -PRON- PRP cord-329357-ujh2nmh5 92 44 made make VBD cord-329357-ujh2nmh5 92 45 on on IN cord-329357-ujh2nmh5 92 46 the the DT cord-329357-ujh2nmh5 92 47 duration duration NN cord-329357-ujh2nmh5 92 48 between between IN cord-329357-ujh2nmh5 92 49 the the DT cord-329357-ujh2nmh5 92 50 beginning beginning NN cord-329357-ujh2nmh5 92 51 of of IN cord-329357-ujh2nmh5 92 52 the the DT cord-329357-ujh2nmh5 92 53 symptoms symptom NNS cord-329357-ujh2nmh5 92 54 and and CC cord-329357-ujh2nmh5 92 55 the the DT cord-329357-ujh2nmh5 92 56 deaths death NNS cord-329357-ujh2nmh5 92 57 ( ( -LRB- cord-329357-ujh2nmh5 92 58 i.e. i.e. FW cord-329357-ujh2nmh5 92 59 30 30 CD cord-329357-ujh2nmh5 92 60 days day NNS cord-329357-ujh2nmh5 92 61 ) ) -RRB- cord-329357-ujh2nmh5 92 62 . . . cord-329357-ujh2nmh5 93 1 We -PRON- PRP cord-329357-ujh2nmh5 93 2 note note VBP cord-329357-ujh2nmh5 93 3 that that IN cord-329357-ujh2nmh5 93 4 the the DT cord-329357-ujh2nmh5 93 5 simulated simulated JJ cord-329357-ujh2nmh5 93 6 death death NN cord-329357-ujh2nmh5 93 7 curve curve NN cord-329357-ujh2nmh5 93 8 overestimates overestimate VBZ cord-329357-ujh2nmh5 93 9 the the DT cord-329357-ujh2nmh5 93 10 observed observed JJ cord-329357-ujh2nmh5 93 11 curve curve NN cord-329357-ujh2nmh5 93 12 . . . cord-329357-ujh2nmh5 94 1 This this DT cord-329357-ujh2nmh5 94 2 may may MD cord-329357-ujh2nmh5 94 3 be be VB cord-329357-ujh2nmh5 94 4 due due JJ cord-329357-ujh2nmh5 94 5 to to IN cord-329357-ujh2nmh5 94 6 the the DT cord-329357-ujh2nmh5 94 7 mortality mortality NN cord-329357-ujh2nmh5 94 8 of of IN cord-329357-ujh2nmh5 94 9 unreported unreported JJ cord-329357-ujh2nmh5 94 10 infected infect VBN cord-329357-ujh2nmh5 94 11 and and CC cord-329357-ujh2nmh5 94 12 therefore therefore RB cord-329357-ujh2nmh5 94 13 the the DT cord-329357-ujh2nmh5 94 14 surplus surplus NN cord-329357-ujh2nmh5 94 15 corresponds correspond VBZ cord-329357-ujh2nmh5 94 16 to to IN cord-329357-ujh2nmh5 94 17 unreported unreported JJ cord-329357-ujh2nmh5 94 18 COVID-19 covid-19 JJ cord-329357-ujh2nmh5 94 19 mortality mortality NN cord-329357-ujh2nmh5 94 20 , , , cord-329357-ujh2nmh5 94 21 which which WDT cord-329357-ujh2nmh5 94 22 makes make VBZ cord-329357-ujh2nmh5 94 23 the the DT cord-329357-ujh2nmh5 94 24 optimization optimization NN cord-329357-ujh2nmh5 94 25 of of IN cord-329357-ujh2nmh5 94 26 the the DT cord-329357-ujh2nmh5 94 27 model model NN cord-329357-ujh2nmh5 94 28 's 's POS cord-329357-ujh2nmh5 94 29 variables variable NNS cord-329357-ujh2nmh5 94 30 for for IN cord-329357-ujh2nmh5 94 31 deaths death NNS cord-329357-ujh2nmh5 94 32 imprecise imprecise JJ cord-329357-ujh2nmh5 94 33 . . . cord-329357-ujh2nmh5 95 1 Moreover moreover RB cord-329357-ujh2nmh5 95 2 , , , cord-329357-ujh2nmh5 95 3 the the DT cord-329357-ujh2nmh5 95 4 model model NN cord-329357-ujh2nmh5 95 5 predicts predict VBZ cord-329357-ujh2nmh5 95 6 228 228 CD cord-329357-ujh2nmh5 95 7 deaths death NNS cord-329357-ujh2nmh5 95 8 at at IN cord-329357-ujh2nmh5 95 9 the the DT cord-329357-ujh2nmh5 95 10 end end NN cord-329357-ujh2nmh5 95 11 of of IN cord-329357-ujh2nmh5 95 12 the the DT cord-329357-ujh2nmh5 95 13 epidemic epidemic NN cord-329357-ujh2nmh5 95 14 in in IN cord-329357-ujh2nmh5 95 15 the the DT cord-329357-ujh2nmh5 95 16 current current JJ cord-329357-ujh2nmh5 95 17 case case NN cord-329357-ujh2nmh5 95 18 ( ( -LRB- cord-329357-ujh2nmh5 95 19 12 12 CD cord-329357-ujh2nmh5 95 20 hours hour NNS cord-329357-ujh2nmh5 95 21 curfew curfew NN cord-329357-ujh2nmh5 95 22 ) ) -RRB- cord-329357-ujh2nmh5 95 23 . . . cord-329357-ujh2nmh5 96 1 In in IN cord-329357-ujh2nmh5 96 2 the the DT cord-329357-ujh2nmh5 96 3 case case NN cord-329357-ujh2nmh5 96 4 where where WRB cord-329357-ujh2nmh5 96 5 the the DT cord-329357-ujh2nmh5 96 6 curfew curfew NN cord-329357-ujh2nmh5 96 7 was be VBD cord-329357-ujh2nmh5 96 8 18 18 CD cord-329357-ujh2nmh5 96 9 hours hour NNS cord-329357-ujh2nmh5 96 10 , , , cord-329357-ujh2nmh5 96 11 the the DT cord-329357-ujh2nmh5 96 12 number number NN cord-329357-ujh2nmh5 96 13 of of IN cord-329357-ujh2nmh5 96 14 deaths death NNS cord-329357-ujh2nmh5 96 15 would would MD cord-329357-ujh2nmh5 96 16 be be VB cord-329357-ujh2nmh5 96 17 84 84 CD cord-329357-ujh2nmh5 96 18 . . . cord-329357-ujh2nmh5 97 1 This this DT cord-329357-ujh2nmh5 97 2 information information NN cord-329357-ujh2nmh5 97 3 should should MD cord-329357-ujh2nmh5 97 4 be be VB cord-329357-ujh2nmh5 97 5 taken take VBN cord-329357-ujh2nmh5 97 6 with with IN cord-329357-ujh2nmh5 97 7 caution caution NN cord-329357-ujh2nmh5 97 8 , , , cord-329357-ujh2nmh5 97 9 because because IN cord-329357-ujh2nmh5 97 10 at at IN cord-329357-ujh2nmh5 97 11 the the DT cord-329357-ujh2nmh5 97 12 time time NN cord-329357-ujh2nmh5 97 13 the the DT cord-329357-ujh2nmh5 97 14 simulations simulation NNS cord-329357-ujh2nmh5 97 15 were be VBD cord-329357-ujh2nmh5 97 16 made make VBN cord-329357-ujh2nmh5 97 17 the the DT cord-329357-ujh2nmh5 97 18 number number NN cord-329357-ujh2nmh5 97 19 of of IN cord-329357-ujh2nmh5 97 20 deaths death NNS cord-329357-ujh2nmh5 97 21 was be VBD cord-329357-ujh2nmh5 97 22 low low JJ cord-329357-ujh2nmh5 97 23 . . . cord-329357-ujh2nmh5 98 1 Finally finally RB cord-329357-ujh2nmh5 98 2 , , , cord-329357-ujh2nmh5 98 3 we -PRON- PRP cord-329357-ujh2nmh5 98 4 notice notice VBP cord-329357-ujh2nmh5 98 5 that that IN cord-329357-ujh2nmh5 98 6 the the DT cord-329357-ujh2nmh5 98 7 ratio ratio NN cord-329357-ujh2nmh5 98 8 between between IN cord-329357-ujh2nmh5 98 9 the the DT cord-329357-ujh2nmh5 98 10 undeclared undeclared JJ cord-329357-ujh2nmh5 98 11 cases case NNS cord-329357-ujh2nmh5 98 12 ( ( -LRB- cord-329357-ujh2nmh5 98 13 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 98 14 and and CC cord-329357-ujh2nmh5 98 15 symptomatic symptomatic JJ cord-329357-ujh2nmh5 98 16 ) ) -RRB- cord-329357-ujh2nmh5 98 17 represents represent VBZ cord-329357-ujh2nmh5 98 18 between between IN cord-329357-ujh2nmh5 98 19 45 45 CD cord-329357-ujh2nmh5 98 20 % % NN cord-329357-ujh2nmh5 98 21 at at IN cord-329357-ujh2nmh5 98 22 the the DT cord-329357-ujh2nmh5 98 23 beginning beginning NN cord-329357-ujh2nmh5 98 24 of of IN cord-329357-ujh2nmh5 98 25 the the DT cord-329357-ujh2nmh5 98 26 epidemic epidemic NN cord-329357-ujh2nmh5 98 27 for for IN cord-329357-ujh2nmh5 98 28 less less JJR cord-329357-ujh2nmh5 98 29 than than IN cord-329357-ujh2nmh5 98 30 10 10 CD cord-329357-ujh2nmh5 98 31 % % NN cord-329357-ujh2nmh5 98 32 at at IN cord-329357-ujh2nmh5 98 33 the the DT cord-329357-ujh2nmh5 98 34 end end NN cord-329357-ujh2nmh5 98 35 of of IN cord-329357-ujh2nmh5 98 36 the the DT cord-329357-ujh2nmh5 98 37 epidemic epidemic NN cord-329357-ujh2nmh5 98 38 ( ( -LRB- cord-329357-ujh2nmh5 98 39 see see VB cord-329357-ujh2nmh5 98 40 figure figure NN cord-329357-ujh2nmh5 98 41 5 5 CD cord-329357-ujh2nmh5 98 42 ) ) -RRB- cord-329357-ujh2nmh5 98 43 . . . cord-329357-ujh2nmh5 99 1 We -PRON- PRP cord-329357-ujh2nmh5 99 2 study study VBP cord-329357-ujh2nmh5 99 3 in in IN cord-329357-ujh2nmh5 99 4 this this DT cord-329357-ujh2nmh5 99 5 section section NN cord-329357-ujh2nmh5 99 6 the the DT cord-329357-ujh2nmh5 99 7 effect effect NN cord-329357-ujh2nmh5 99 8 of of IN cord-329357-ujh2nmh5 99 9 more more RBR cord-329357-ujh2nmh5 99 10 intensive intensive JJ cord-329357-ujh2nmh5 99 11 mass mass NN cord-329357-ujh2nmh5 99 12 screening screening NN cord-329357-ujh2nmh5 99 13 , , , cord-329357-ujh2nmh5 99 14 i.e. i.e. FW cord-329357-ujh2nmh5 99 15 by by IN cord-329357-ujh2nmh5 99 16 increasing increase VBG cord-329357-ujh2nmh5 99 17 τ1 τ1 NN cord-329357-ujh2nmh5 99 18 and and CC cord-329357-ujh2nmh5 99 19 τ2 τ2 NNP cord-329357-ujh2nmh5 99 20 , , , cord-329357-ujh2nmh5 99 21 on on IN cord-329357-ujh2nmh5 99 22 the the DT cord-329357-ujh2nmh5 99 23 basic basic JJ cord-329357-ujh2nmh5 99 24 reproduction reproduction NN cord-329357-ujh2nmh5 99 25 number number NN cord-329357-ujh2nmh5 99 26 , , , cord-329357-ujh2nmh5 99 27 R0 R0 NNP cord-329357-ujh2nmh5 99 28 , , , cord-329357-ujh2nmh5 99 29 and and CC cord-329357-ujh2nmh5 99 30 on on IN cord-329357-ujh2nmh5 99 31 the the DT cord-329357-ujh2nmh5 99 32 number number NN cord-329357-ujh2nmh5 99 33 of of IN cord-329357-ujh2nmh5 99 34 declared declare VBN cord-329357-ujh2nmh5 99 35 infected infect VBN cord-329357-ujh2nmh5 99 36 , , , cord-329357-ujh2nmh5 99 37 Q Q NNP cord-329357-ujh2nmh5 99 38 ( ( -LRB- cord-329357-ujh2nmh5 99 39 see see VB cord-329357-ujh2nmh5 99 40 figures figure NNS cord-329357-ujh2nmh5 99 41 6 6 CD cord-329357-ujh2nmh5 99 42 , , , cord-329357-ujh2nmh5 99 43 7 7 CD cord-329357-ujh2nmh5 99 44 ) ) -RRB- cord-329357-ujh2nmh5 99 45 . . . cord-329357-ujh2nmh5 100 1 In in IN cord-329357-ujh2nmh5 100 2 figure figure NN cord-329357-ujh2nmh5 100 3 6 6 CD cord-329357-ujh2nmh5 100 4 , , , cord-329357-ujh2nmh5 100 5 we -PRON- PRP cord-329357-ujh2nmh5 100 6 can can MD cord-329357-ujh2nmh5 100 7 see see VB cord-329357-ujh2nmh5 100 8 that that IN cord-329357-ujh2nmh5 100 9 no no RB cord-329357-ujh2nmh5 100 10 matter matter RB cord-329357-ujh2nmh5 100 11 how how WRB cord-329357-ujh2nmh5 100 12 intensively intensively RB cord-329357-ujh2nmh5 100 13 we -PRON- PRP cord-329357-ujh2nmh5 100 14 screen screen VBP cord-329357-ujh2nmh5 100 15 , , , cord-329357-ujh2nmh5 100 16 we -PRON- PRP cord-329357-ujh2nmh5 100 17 have have VBP cord-329357-ujh2nmh5 100 18 R0 R0 NNP cord-329357-ujh2nmh5 100 19 > > XX cord-329357-ujh2nmh5 100 20 1 1 CD cord-329357-ujh2nmh5 100 21 . . . cord-329357-ujh2nmh5 101 1 Moreover moreover RB cord-329357-ujh2nmh5 101 2 , , , cord-329357-ujh2nmh5 101 3 we -PRON- PRP cord-329357-ujh2nmh5 101 4 note note VBP cord-329357-ujh2nmh5 101 5 that that IN cord-329357-ujh2nmh5 101 6 to to TO cord-329357-ujh2nmh5 101 7 minimize minimize VB cord-329357-ujh2nmh5 101 8 the the DT cord-329357-ujh2nmh5 101 9 basic basic JJ cord-329357-ujh2nmh5 101 10 reproduction reproduction NN cord-329357-ujh2nmh5 101 11 number number NN cord-329357-ujh2nmh5 101 12 , , , cord-329357-ujh2nmh5 101 13 it -PRON- PRP cord-329357-ujh2nmh5 101 14 is be VBZ cord-329357-ujh2nmh5 101 15 necessary necessary JJ cord-329357-ujh2nmh5 101 16 to to TO cord-329357-ujh2nmh5 101 17 increase increase VB cord-329357-ujh2nmh5 101 18 the the DT cord-329357-ujh2nmh5 101 19 massive massive JJ cord-329357-ujh2nmh5 101 20 screening screening NN cord-329357-ujh2nmh5 101 21 of of IN cord-329357-ujh2nmh5 101 22 the the DT cord-329357-ujh2nmh5 101 23 class class NN cord-329357-ujh2nmh5 101 24 of of IN cord-329357-ujh2nmh5 101 25 6 6 CD cord-329357-ujh2nmh5 101 26 . . . cord-329357-ujh2nmh5 102 1 CC CC NNP cord-329357-ujh2nmh5 102 2 - - HYPH cord-329357-ujh2nmh5 102 3 BY BY NNP cord-329357-ujh2nmh5 102 4 - - HYPH cord-329357-ujh2nmh5 102 5 NC NC NNP cord-329357-ujh2nmh5 102 6 - - HYPH cord-329357-ujh2nmh5 102 7 ND ND NNP cord-329357-ujh2nmh5 102 8 4.0 4.0 CD cord-329357-ujh2nmh5 102 9 International international JJ cord-329357-ujh2nmh5 102 10 license license NN cord-329357-ujh2nmh5 103 1 It -PRON- PRP cord-329357-ujh2nmh5 103 2 is be VBZ cord-329357-ujh2nmh5 103 3 made make VBN cord-329357-ujh2nmh5 103 4 available available JJ cord-329357-ujh2nmh5 103 5 under under IN cord-329357-ujh2nmh5 103 6 a a DT cord-329357-ujh2nmh5 104 1 is be VBZ cord-329357-ujh2nmh5 104 2 the the DT cord-329357-ujh2nmh5 104 3 author author NN cord-329357-ujh2nmh5 104 4 / / SYM cord-329357-ujh2nmh5 104 5 funder funder NN cord-329357-ujh2nmh5 104 6 , , , cord-329357-ujh2nmh5 104 7 who who WP cord-329357-ujh2nmh5 104 8 has have VBZ cord-329357-ujh2nmh5 104 9 granted grant VBN cord-329357-ujh2nmh5 104 10 medRxiv medRxiv NNS cord-329357-ujh2nmh5 104 11 a a DT cord-329357-ujh2nmh5 104 12 license license NN cord-329357-ujh2nmh5 104 13 to to TO cord-329357-ujh2nmh5 104 14 display display VB cord-329357-ujh2nmh5 104 15 the the DT cord-329357-ujh2nmh5 104 16 preprint preprint NN cord-329357-ujh2nmh5 104 17 in in IN cord-329357-ujh2nmh5 104 18 perpetuity perpetuity NN cord-329357-ujh2nmh5 104 19 . . . cord-329357-ujh2nmh5 105 1 The the DT cord-329357-ujh2nmh5 105 2 copyright copyright NN cord-329357-ujh2nmh5 105 3 holder holder NN cord-329357-ujh2nmh5 105 4 for for IN cord-329357-ujh2nmh5 105 5 this this DT cord-329357-ujh2nmh5 105 6 preprint preprint NN cord-329357-ujh2nmh5 105 7 this this DT cord-329357-ujh2nmh5 105 8 version version NN cord-329357-ujh2nmh5 105 9 posted post VBN cord-329357-ujh2nmh5 105 10 May May NNP cord-329357-ujh2nmh5 105 11 6 6 CD cord-329357-ujh2nmh5 105 12 , , , cord-329357-ujh2nmh5 105 13 2020 2020 CD cord-329357-ujh2nmh5 105 14 . . . cord-329357-ujh2nmh5 106 1 is be VBZ cord-329357-ujh2nmh5 106 2 the the DT cord-329357-ujh2nmh5 106 3 author author NN cord-329357-ujh2nmh5 106 4 / / SYM cord-329357-ujh2nmh5 106 5 funder funder NN cord-329357-ujh2nmh5 106 6 , , , cord-329357-ujh2nmh5 106 7 who who WP cord-329357-ujh2nmh5 106 8 has have VBZ cord-329357-ujh2nmh5 106 9 granted grant VBN cord-329357-ujh2nmh5 106 10 medRxiv medRxiv NNS cord-329357-ujh2nmh5 106 11 a a DT cord-329357-ujh2nmh5 106 12 license license NN cord-329357-ujh2nmh5 106 13 to to TO cord-329357-ujh2nmh5 106 14 display display VB cord-329357-ujh2nmh5 106 15 the the DT cord-329357-ujh2nmh5 106 16 preprint preprint NN cord-329357-ujh2nmh5 106 17 in in IN cord-329357-ujh2nmh5 106 18 perpetuity perpetuity NN cord-329357-ujh2nmh5 106 19 . . . cord-329357-ujh2nmh5 107 1 The the DT cord-329357-ujh2nmh5 107 2 copyright copyright NN cord-329357-ujh2nmh5 107 3 holder holder NN cord-329357-ujh2nmh5 107 4 for for IN cord-329357-ujh2nmh5 107 5 this this DT cord-329357-ujh2nmh5 107 6 preprint preprint NN cord-329357-ujh2nmh5 107 7 this this DT cord-329357-ujh2nmh5 107 8 version version NN cord-329357-ujh2nmh5 107 9 posted post VBN cord-329357-ujh2nmh5 107 10 May May NNP cord-329357-ujh2nmh5 107 11 6 6 CD cord-329357-ujh2nmh5 107 12 , , , cord-329357-ujh2nmh5 107 13 2020 2020 CD cord-329357-ujh2nmh5 107 14 . . . cord-329357-ujh2nmh5 107 15 . . . cord-329357-ujh2nmh5 108 1 https://doi.org/10.1101/2020.05.02.20088492 https://doi.org/10.1101/2020.05.02.20088492 NNP cord-329357-ujh2nmh5 108 2 doi doi XX cord-329357-ujh2nmh5 108 3 : : : cord-329357-ujh2nmh5 109 1 medRxiv medRxiv NNS cord-329357-ujh2nmh5 109 2 preprint preprint NN cord-329357-ujh2nmh5 109 3 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 109 4 infections infection NNS cord-329357-ujh2nmh5 109 5 . . . cord-329357-ujh2nmh5 110 1 Similarly similarly RB cord-329357-ujh2nmh5 110 2 in in IN cord-329357-ujh2nmh5 110 3 figure figure NN cord-329357-ujh2nmh5 110 4 7 7 CD cord-329357-ujh2nmh5 110 5 , , , cord-329357-ujh2nmh5 110 6 we -PRON- PRP cord-329357-ujh2nmh5 110 7 can can MD cord-329357-ujh2nmh5 110 8 see see VB cord-329357-ujh2nmh5 110 9 that that IN cord-329357-ujh2nmh5 110 10 the the DT cord-329357-ujh2nmh5 110 11 increase increase NN cord-329357-ujh2nmh5 110 12 in in IN cord-329357-ujh2nmh5 110 13 the the DT cord-329357-ujh2nmh5 110 14 mass mass NN cord-329357-ujh2nmh5 110 15 screening screening NN cord-329357-ujh2nmh5 110 16 effort effort NN cord-329357-ujh2nmh5 110 17 allows allow VBZ cord-329357-ujh2nmh5 110 18 a a DT cord-329357-ujh2nmh5 110 19 more more RBR cord-329357-ujh2nmh5 110 20 rapid rapid JJ cord-329357-ujh2nmh5 110 21 decrease decrease NN cord-329357-ujh2nmh5 110 22 in in IN cord-329357-ujh2nmh5 110 23 the the DT cord-329357-ujh2nmh5 110 24 number number NN cord-329357-ujh2nmh5 110 25 of of IN cord-329357-ujh2nmh5 110 26 cases case NNS cord-329357-ujh2nmh5 110 27 ( ( -LRB- cord-329357-ujh2nmh5 110 28 see see VB cord-329357-ujh2nmh5 110 29 figure figure NN cord-329357-ujh2nmh5 110 30 7(a 7(a CD cord-329357-ujh2nmh5 110 31 ) ) -RRB- cord-329357-ujh2nmh5 110 32 ) ) -RRB- cord-329357-ujh2nmh5 110 33 . . . cord-329357-ujh2nmh5 111 1 This this DT cord-329357-ujh2nmh5 111 2 is be VBZ cord-329357-ujh2nmh5 111 3 probably probably RB cord-329357-ujh2nmh5 111 4 since since IN cord-329357-ujh2nmh5 111 5 cases case NNS cord-329357-ujh2nmh5 111 6 are be VBP cord-329357-ujh2nmh5 111 7 detected detect VBN cord-329357-ujh2nmh5 111 8 earlier early RBR cord-329357-ujh2nmh5 111 9 , , , cord-329357-ujh2nmh5 111 10 they -PRON- PRP cord-329357-ujh2nmh5 111 11 do do VBP cord-329357-ujh2nmh5 111 12 not not RB cord-329357-ujh2nmh5 111 13 contribute contribute VB cord-329357-ujh2nmh5 111 14 to to IN cord-329357-ujh2nmh5 111 15 the the DT cord-329357-ujh2nmh5 111 16 contamination contamination NN cord-329357-ujh2nmh5 111 17 of of IN cord-329357-ujh2nmh5 111 18 the the DT cord-329357-ujh2nmh5 111 19 healthy healthy JJ cord-329357-ujh2nmh5 111 20 ones one NNS cord-329357-ujh2nmh5 111 21 . . . cord-329357-ujh2nmh5 112 1 Indeed indeed RB cord-329357-ujh2nmh5 112 2 , , , cord-329357-ujh2nmh5 112 3 mass mass JJ cord-329357-ujh2nmh5 112 4 screening screening NN cord-329357-ujh2nmh5 112 5 has have VBZ cord-329357-ujh2nmh5 112 6 an an DT cord-329357-ujh2nmh5 112 7 indirect indirect JJ cord-329357-ujh2nmh5 112 8 effect effect NN cord-329357-ujh2nmh5 112 9 on on IN cord-329357-ujh2nmh5 112 10 recruitment recruitment NN cord-329357-ujh2nmh5 112 11 in in IN cord-329357-ujh2nmh5 112 12 the the DT cord-329357-ujh2nmh5 112 13 infect infect JJ cord-329357-ujh2nmh5 112 14 compartment compartment NN cord-329357-ujh2nmh5 112 15 . . . cord-329357-ujh2nmh5 113 1 More more RBR cord-329357-ujh2nmh5 113 2 specifically specifically RB cord-329357-ujh2nmh5 113 3 , , , cord-329357-ujh2nmh5 113 4 we -PRON- PRP cord-329357-ujh2nmh5 113 5 assume assume VBP cord-329357-ujh2nmh5 113 6 that that IN cord-329357-ujh2nmh5 113 7 β β NN cord-329357-ujh2nmh5 113 8 + + CC cord-329357-ujh2nmh5 113 9 τ1 τ1 NN cord-329357-ujh2nmh5 113 10 does do VBZ cord-329357-ujh2nmh5 113 11 not not RB cord-329357-ujh2nmh5 113 12 vary vary VB cord-329357-ujh2nmh5 113 13 when when WRB cord-329357-ujh2nmh5 113 14 τ1 τ1 NN cord-329357-ujh2nmh5 113 15 changes change VBZ cord-329357-ujh2nmh5 113 16 . . . cord-329357-ujh2nmh5 114 1 Consequently consequently RB cord-329357-ujh2nmh5 114 2 , , , cord-329357-ujh2nmh5 114 3 the the DT cord-329357-ujh2nmh5 114 4 effort effort NN cord-329357-ujh2nmh5 114 5 of of IN cord-329357-ujh2nmh5 114 6 mass mass NN cord-329357-ujh2nmh5 114 7 screening screening NN cord-329357-ujh2nmh5 114 8 on on IN cord-329357-ujh2nmh5 114 9 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 114 10 patients patient NNS cord-329357-ujh2nmh5 114 11 can can MD cord-329357-ujh2nmh5 114 12 not not RB cord-329357-ujh2nmh5 114 13 exceed exceed VB cord-329357-ujh2nmh5 114 14 this this DT cord-329357-ujh2nmh5 114 15 value value NN cord-329357-ujh2nmh5 114 16 , , , cord-329357-ujh2nmh5 114 17 and and CC cord-329357-ujh2nmh5 114 18 then then RB cord-329357-ujh2nmh5 114 19 any any DT cord-329357-ujh2nmh5 114 20 additional additional JJ cord-329357-ujh2nmh5 114 21 effort effort NN cord-329357-ujh2nmh5 114 22 beyond beyond IN cord-329357-ujh2nmh5 114 23 β β XX cord-329357-ujh2nmh5 114 24 + + CC cord-329357-ujh2nmh5 114 25 τ1 τ1 NN cord-329357-ujh2nmh5 114 26 will will MD cord-329357-ujh2nmh5 114 27 be be VB cord-329357-ujh2nmh5 114 28 passed pass VBN cord-329357-ujh2nmh5 114 29 on on RP cord-329357-ujh2nmh5 114 30 to to IN cord-329357-ujh2nmh5 114 31 healthy healthy JJ cord-329357-ujh2nmh5 114 32 patients patient NNS cord-329357-ujh2nmh5 114 33 and and CC cord-329357-ujh2nmh5 114 34 therefore therefore RB cord-329357-ujh2nmh5 114 35 will will MD cord-329357-ujh2nmh5 114 36 be be VB cord-329357-ujh2nmh5 114 37 useless useless JJ cord-329357-ujh2nmh5 114 38 . . . cord-329357-ujh2nmh5 115 1 It -PRON- PRP cord-329357-ujh2nmh5 115 2 is be VBZ cord-329357-ujh2nmh5 115 3 observed observe VBN cord-329357-ujh2nmh5 115 4 that that IN cord-329357-ujh2nmh5 115 5 the the DT cord-329357-ujh2nmh5 115 6 calibration calibration NN cord-329357-ujh2nmh5 115 7 of of IN cord-329357-ujh2nmh5 115 8 the the DT cord-329357-ujh2nmh5 115 9 model model NN cord-329357-ujh2nmh5 115 10 on on IN cord-329357-ujh2nmh5 115 11 the the DT cord-329357-ujh2nmh5 115 12 Tunisian tunisian JJ cord-329357-ujh2nmh5 115 13 data datum NNS cord-329357-ujh2nmh5 115 14 using use VBG cord-329357-ujh2nmh5 115 15 Metropolis Metropolis NNP cord-329357-ujh2nmh5 115 16 - - HYPH cord-329357-ujh2nmh5 115 17 Hastings Hastings NNP cord-329357-ujh2nmh5 115 18 ( ( -LRB- cord-329357-ujh2nmh5 115 19 MH MH NNP cord-329357-ujh2nmh5 115 20 ) ) -RRB- cord-329357-ujh2nmh5 115 21 algorithm algorithm NN cord-329357-ujh2nmh5 115 22 , , , cord-329357-ujh2nmh5 115 23 gives give VBZ cord-329357-ujh2nmh5 115 24 a a DT cord-329357-ujh2nmh5 115 25 value value NN cord-329357-ujh2nmh5 115 26 of of IN cord-329357-ujh2nmh5 115 27 τ1 τ1 NN cord-329357-ujh2nmh5 115 28 = = SYM cord-329357-ujh2nmh5 115 29 0.78 0.78 CD cord-329357-ujh2nmh5 115 30 , , , cord-329357-ujh2nmh5 115 31 which which WDT cord-329357-ujh2nmh5 115 32 represents represent VBZ cord-329357-ujh2nmh5 115 33 a a DT cord-329357-ujh2nmh5 115 34 very very RB cord-329357-ujh2nmh5 115 35 important important JJ cord-329357-ujh2nmh5 115 36 screening screening NN cord-329357-ujh2nmh5 115 37 effort effort NN cord-329357-ujh2nmh5 115 38 . . . cord-329357-ujh2nmh5 116 1 This this DT cord-329357-ujh2nmh5 116 2 would would MD cord-329357-ujh2nmh5 116 3 prove prove VB cord-329357-ujh2nmh5 116 4 that that IN cord-329357-ujh2nmh5 116 5 the the DT cord-329357-ujh2nmh5 116 6 screening screening NN cord-329357-ujh2nmh5 116 7 strategy strategy NN cord-329357-ujh2nmh5 116 8 is be VBZ cord-329357-ujh2nmh5 116 9 very very RB cord-329357-ujh2nmh5 116 10 efficient efficient JJ cord-329357-ujh2nmh5 116 11 . . . cord-329357-ujh2nmh5 117 1 However however RB cord-329357-ujh2nmh5 117 2 , , , cord-329357-ujh2nmh5 117 3 we -PRON- PRP cord-329357-ujh2nmh5 117 4 did do VBD cord-329357-ujh2nmh5 117 5 n't not RB cord-329357-ujh2nmh5 117 6 had have VBD cord-329357-ujh2nmh5 117 7 access access NN cord-329357-ujh2nmh5 117 8 to to IN cord-329357-ujh2nmh5 117 9 the the DT cord-329357-ujh2nmh5 117 10 testing testing NN cord-329357-ujh2nmh5 117 11 campaign campaign NN cord-329357-ujh2nmh5 117 12 methodology methodology NN cord-329357-ujh2nmh5 117 13 that that WDT cord-329357-ujh2nmh5 117 14 would would MD cord-329357-ujh2nmh5 117 15 have have VB cord-329357-ujh2nmh5 117 16 allowed allow VBN cord-329357-ujh2nmh5 117 17 us -PRON- PRP cord-329357-ujh2nmh5 117 18 to to TO cord-329357-ujh2nmh5 117 19 adjust adjust VB cord-329357-ujh2nmh5 117 20 our -PRON- PRP$ cord-329357-ujh2nmh5 117 21 estimates estimate NNS cord-329357-ujh2nmh5 117 22 . . . cord-329357-ujh2nmh5 118 1 Moreover moreover RB cord-329357-ujh2nmh5 118 2 , , , cord-329357-ujh2nmh5 118 3 it -PRON- PRP cord-329357-ujh2nmh5 118 4 is be VBZ cord-329357-ujh2nmh5 118 5 observed observe VBN cord-329357-ujh2nmh5 118 6 that that IN cord-329357-ujh2nmh5 118 7 the the DT cord-329357-ujh2nmh5 118 8 number number NN cord-329357-ujh2nmh5 118 9 of of IN cord-329357-ujh2nmh5 118 10 deaths death NNS cord-329357-ujh2nmh5 118 11 at at IN cord-329357-ujh2nmh5 118 12 the the DT cord-329357-ujh2nmh5 118 13 end end NN cord-329357-ujh2nmh5 118 14 of of IN cord-329357-ujh2nmh5 118 15 the the DT cord-329357-ujh2nmh5 118 16 epidemic epidemic NN cord-329357-ujh2nmh5 118 17 varies vary VBZ cord-329357-ujh2nmh5 118 18 from from IN cord-329357-ujh2nmh5 118 19 228 228 CD cord-329357-ujh2nmh5 118 20 to to TO cord-329357-ujh2nmh5 118 21 167 167 CD cord-329357-ujh2nmh5 118 22 , , , cord-329357-ujh2nmh5 118 23 i.e. i.e. FW cord-329357-ujh2nmh5 118 24 a a DT cord-329357-ujh2nmh5 118 25 20 20 CD cord-329357-ujh2nmh5 118 26 % % NN cord-329357-ujh2nmh5 118 27 decrease decrease NN cord-329357-ujh2nmh5 118 28 in in IN cord-329357-ujh2nmh5 118 29 the the DT cord-329357-ujh2nmh5 118 30 number number NN cord-329357-ujh2nmh5 118 31 of of IN cord-329357-ujh2nmh5 118 32 cases case NNS cord-329357-ujh2nmh5 118 33 ( ( -LRB- cord-329357-ujh2nmh5 118 34 see see VB cord-329357-ujh2nmh5 118 35 figure figure NN cord-329357-ujh2nmh5 118 36 7 7 CD cord-329357-ujh2nmh5 118 37 ( ( -LRB- cord-329357-ujh2nmh5 118 38 b b NN cord-329357-ujh2nmh5 118 39 ) ) -RRB- cord-329357-ujh2nmh5 118 40 ) ) -RRB- cord-329357-ujh2nmh5 118 41 . . . cord-329357-ujh2nmh5 118 42 _SP cord-329357-ujh2nmh5 119 1 It -PRON- PRP cord-329357-ujh2nmh5 119 2 can can MD cord-329357-ujh2nmh5 119 3 be be VB cord-329357-ujh2nmh5 119 4 noted note VBN cord-329357-ujh2nmh5 119 5 that that IN cord-329357-ujh2nmh5 119 6 since since IN cord-329357-ujh2nmh5 119 7 April April NNP cord-329357-ujh2nmh5 119 8 , , , cord-329357-ujh2nmh5 119 9 15 15 CD cord-329357-ujh2nmh5 119 10 , , , cord-329357-ujh2nmh5 119 11 2020 2020 CD cord-329357-ujh2nmh5 119 12 , , , cord-329357-ujh2nmh5 119 13 Tunisia Tunisia NNP cord-329357-ujh2nmh5 119 14 has have VBZ cord-329357-ujh2nmh5 119 15 succeeded succeed VBN cord-329357-ujh2nmh5 119 16 in in IN cord-329357-ujh2nmh5 119 17 slowing slow VBG cord-329357-ujh2nmh5 119 18 down down RP cord-329357-ujh2nmh5 119 19 the the DT cord-329357-ujh2nmh5 119 20 speed speed NN cord-329357-ujh2nmh5 119 21 of of IN cord-329357-ujh2nmh5 119 22 propagation propagation NN cord-329357-ujh2nmh5 119 23 thanks thank NNS cord-329357-ujh2nmh5 119 24 to to IN cord-329357-ujh2nmh5 119 25 and and CC cord-329357-ujh2nmh5 119 26 containment containment NN cord-329357-ujh2nmh5 119 27 and and CC cord-329357-ujh2nmh5 119 28 a a DT cord-329357-ujh2nmh5 119 29 curfew curfew NN cord-329357-ujh2nmh5 119 30 . . . cord-329357-ujh2nmh5 120 1 With with IN cord-329357-ujh2nmh5 120 2 this this DT cord-329357-ujh2nmh5 120 3 work work NN cord-329357-ujh2nmh5 120 4 , , , cord-329357-ujh2nmh5 120 5 we -PRON- PRP cord-329357-ujh2nmh5 120 6 suggest suggest VBP cord-329357-ujh2nmh5 120 7 that that IN cord-329357-ujh2nmh5 120 8 if if IN cord-329357-ujh2nmh5 120 9 containment containment NN cord-329357-ujh2nmh5 120 10 and and CC cord-329357-ujh2nmh5 120 11 curfew curfew NN cord-329357-ujh2nmh5 120 12 are be VBP cord-329357-ujh2nmh5 120 13 maintained maintain VBN cord-329357-ujh2nmh5 120 14 , , , cord-329357-ujh2nmh5 120 15 short short JJ cord-329357-ujh2nmh5 120 16 - - HYPH cord-329357-ujh2nmh5 120 17 term term NN cord-329357-ujh2nmh5 120 18 projections projection NNS cord-329357-ujh2nmh5 120 19 could could MD cord-329357-ujh2nmh5 120 20 be be VB cord-329357-ujh2nmh5 120 21 more more RBR cord-329357-ujh2nmh5 120 22 optimistic optimistic JJ cord-329357-ujh2nmh5 120 23 . . . cord-329357-ujh2nmh5 121 1 The the DT cord-329357-ujh2nmh5 121 2 fact fact NN cord-329357-ujh2nmh5 121 3 that that IN cord-329357-ujh2nmh5 121 4 the the DT cord-329357-ujh2nmh5 121 5 epidemic epidemic NN cord-329357-ujh2nmh5 121 6 is be VBZ cord-329357-ujh2nmh5 121 7 quickly quickly RB cord-329357-ujh2nmh5 121 8 contained contain VBN cord-329357-ujh2nmh5 121 9 tends tend VBZ cord-329357-ujh2nmh5 121 10 to to TO cord-329357-ujh2nmh5 121 11 show show VB cord-329357-ujh2nmh5 121 12 that that IN cord-329357-ujh2nmh5 121 13 the the DT cord-329357-ujh2nmh5 121 14 number number NN cord-329357-ujh2nmh5 121 15 of of IN cord-329357-ujh2nmh5 121 16 undeclared undeclared JJ cord-329357-ujh2nmh5 121 17 infected infected JJ cord-329357-ujh2nmh5 121 18 is be VBZ cord-329357-ujh2nmh5 121 19 low low JJ cord-329357-ujh2nmh5 121 20 , , , cord-329357-ujh2nmh5 121 21 which which WDT cord-329357-ujh2nmh5 121 22 may may MD cord-329357-ujh2nmh5 121 23 suggest suggest VB cord-329357-ujh2nmh5 121 24 that that IN cord-329357-ujh2nmh5 121 25 our -PRON- PRP$ cord-329357-ujh2nmh5 121 26 model model NN cord-329357-ujh2nmh5 121 27 is be VBZ cord-329357-ujh2nmh5 121 28 efficient efficient JJ cord-329357-ujh2nmh5 121 29 for for IN cord-329357-ujh2nmh5 121 30 the the DT cord-329357-ujh2nmh5 121 31 evaluation evaluation NN cord-329357-ujh2nmh5 121 32 of of IN cord-329357-ujh2nmh5 121 33 undeclared undeclared JJ cord-329357-ujh2nmh5 121 34 cases case NNS cord-329357-ujh2nmh5 121 35 . . . cord-329357-ujh2nmh5 122 1 In in IN cord-329357-ujh2nmh5 122 2 fact fact NN cord-329357-ujh2nmh5 122 3 , , , cord-329357-ujh2nmh5 122 4 we -PRON- PRP cord-329357-ujh2nmh5 122 5 show show VBP cord-329357-ujh2nmh5 122 6 that that IN cord-329357-ujh2nmh5 122 7 at at IN cord-329357-ujh2nmh5 122 8 the the DT cord-329357-ujh2nmh5 122 9 time time NN cord-329357-ujh2nmh5 122 10 of of IN cord-329357-ujh2nmh5 122 11 the the DT cord-329357-ujh2nmh5 122 12 epidemiological epidemiological JJ cord-329357-ujh2nmh5 122 13 peak peak NN cord-329357-ujh2nmh5 122 14 , , , cord-329357-ujh2nmh5 122 15 the the DT cord-329357-ujh2nmh5 122 16 number number NN cord-329357-ujh2nmh5 122 17 of of IN cord-329357-ujh2nmh5 122 18 unreported unreported JJ cord-329357-ujh2nmh5 122 19 infected infected JJ cord-329357-ujh2nmh5 122 20 persons person NNS cord-329357-ujh2nmh5 122 21 constitutes constitute VBZ cord-329357-ujh2nmh5 122 22 at at IN cord-329357-ujh2nmh5 122 23 most most RBS cord-329357-ujh2nmh5 122 24 1/3 1/3 CD cord-329357-ujh2nmh5 122 25 of of IN cord-329357-ujh2nmh5 122 26 the the DT cord-329357-ujh2nmh5 122 27 infected infected JJ cord-329357-ujh2nmh5 122 28 population population NN cord-329357-ujh2nmh5 122 29 . . . cord-329357-ujh2nmh5 123 1 However however RB cord-329357-ujh2nmh5 123 2 , , , cord-329357-ujh2nmh5 123 3 this this DT cord-329357-ujh2nmh5 123 4 will will MD cord-329357-ujh2nmh5 123 5 need need VB cord-329357-ujh2nmh5 123 6 to to TO cord-329357-ujh2nmh5 123 7 be be VB cord-329357-ujh2nmh5 123 8 confirmed confirm VBN cord-329357-ujh2nmh5 123 9 by by IN cord-329357-ujh2nmh5 123 10 a a DT cord-329357-ujh2nmh5 123 11 field field NN cord-329357-ujh2nmh5 123 12 evaluation evaluation NN cord-329357-ujh2nmh5 123 13 . . . cord-329357-ujh2nmh5 124 1 Moreover moreover RB cord-329357-ujh2nmh5 124 2 , , , cord-329357-ujh2nmh5 124 3 using use VBG cord-329357-ujh2nmh5 124 4 Tunisian tunisian JJ cord-329357-ujh2nmh5 124 5 data datum NNS cord-329357-ujh2nmh5 124 6 , , , cord-329357-ujh2nmh5 124 7 the the DT cord-329357-ujh2nmh5 124 8 optimization optimization NN cord-329357-ujh2nmh5 124 9 algorithm algorithm NN cord-329357-ujh2nmh5 124 10 fixes fix VBZ cord-329357-ujh2nmh5 124 11 the the DT cord-329357-ujh2nmh5 124 12 rate rate NN cord-329357-ujh2nmh5 124 13 at at IN cord-329357-ujh2nmh5 124 14 which which WDT cord-329357-ujh2nmh5 124 15 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 124 16 enter enter VBP cord-329357-ujh2nmh5 124 17 in in IN cord-329357-ujh2nmh5 124 18 8 8 CD cord-329357-ujh2nmh5 124 19 . . . cord-329357-ujh2nmh5 125 1 CC CC NNP cord-329357-ujh2nmh5 125 2 - - HYPH cord-329357-ujh2nmh5 125 3 BY BY NNP cord-329357-ujh2nmh5 125 4 - - HYPH cord-329357-ujh2nmh5 125 5 NC NC NNP cord-329357-ujh2nmh5 125 6 - - HYPH cord-329357-ujh2nmh5 125 7 ND ND NNP cord-329357-ujh2nmh5 125 8 4.0 4.0 CD cord-329357-ujh2nmh5 125 9 International international JJ cord-329357-ujh2nmh5 125 10 license license NN cord-329357-ujh2nmh5 126 1 It -PRON- PRP cord-329357-ujh2nmh5 126 2 is be VBZ cord-329357-ujh2nmh5 126 3 made make VBN cord-329357-ujh2nmh5 126 4 available available JJ cord-329357-ujh2nmh5 126 5 under under IN cord-329357-ujh2nmh5 126 6 a a DT cord-329357-ujh2nmh5 127 1 is be VBZ cord-329357-ujh2nmh5 127 2 the the DT cord-329357-ujh2nmh5 127 3 author author NN cord-329357-ujh2nmh5 127 4 / / SYM cord-329357-ujh2nmh5 127 5 funder funder NN cord-329357-ujh2nmh5 127 6 , , , cord-329357-ujh2nmh5 127 7 who who WP cord-329357-ujh2nmh5 127 8 has have VBZ cord-329357-ujh2nmh5 127 9 granted grant VBN cord-329357-ujh2nmh5 127 10 medRxiv medRxiv NNS cord-329357-ujh2nmh5 127 11 a a DT cord-329357-ujh2nmh5 127 12 license license NN cord-329357-ujh2nmh5 127 13 to to TO cord-329357-ujh2nmh5 127 14 display display VB cord-329357-ujh2nmh5 127 15 the the DT cord-329357-ujh2nmh5 127 16 preprint preprint NN cord-329357-ujh2nmh5 127 17 in in IN cord-329357-ujh2nmh5 127 18 perpetuity perpetuity NN cord-329357-ujh2nmh5 127 19 . . . cord-329357-ujh2nmh5 128 1 The the DT cord-329357-ujh2nmh5 128 2 copyright copyright NN cord-329357-ujh2nmh5 128 3 holder holder NN cord-329357-ujh2nmh5 128 4 for for IN cord-329357-ujh2nmh5 128 5 this this DT cord-329357-ujh2nmh5 128 6 preprint preprint NN cord-329357-ujh2nmh5 128 7 this this DT cord-329357-ujh2nmh5 128 8 version version NN cord-329357-ujh2nmh5 128 9 posted post VBN cord-329357-ujh2nmh5 128 10 May May NNP cord-329357-ujh2nmh5 128 11 6 6 CD cord-329357-ujh2nmh5 128 12 , , , cord-329357-ujh2nmh5 128 13 2020 2020 CD cord-329357-ujh2nmh5 128 14 . . . cord-329357-ujh2nmh5 128 15 . . . cord-329357-ujh2nmh5 129 1 https://doi.org/10.1101/2020.05.02.20088492 https://doi.org/10.1101/2020.05.02.20088492 NNP cord-329357-ujh2nmh5 129 2 doi doi XX cord-329357-ujh2nmh5 129 3 : : : cord-329357-ujh2nmh5 130 1 medRxiv medRxiv NNP cord-329357-ujh2nmh5 130 2 preprint preprint NN cord-329357-ujh2nmh5 130 3 quarantine quarantine NN cord-329357-ujh2nmh5 130 4 , , , cord-329357-ujh2nmh5 130 5 τ1 τ1 NN cord-329357-ujh2nmh5 130 6 , , , cord-329357-ujh2nmh5 130 7 at at IN cord-329357-ujh2nmh5 130 8 a a DT cord-329357-ujh2nmh5 130 9 high high JJ cord-329357-ujh2nmh5 130 10 value value NN cord-329357-ujh2nmh5 130 11 . . . cord-329357-ujh2nmh5 131 1 This this DT cord-329357-ujh2nmh5 131 2 expresses express VBZ cord-329357-ujh2nmh5 131 3 the the DT cord-329357-ujh2nmh5 131 4 good good JJ cord-329357-ujh2nmh5 131 5 performance performance NN cord-329357-ujh2nmh5 131 6 of of IN cord-329357-ujh2nmh5 131 7 the the DT cord-329357-ujh2nmh5 131 8 control control NN cord-329357-ujh2nmh5 131 9 policy policy NN cord-329357-ujh2nmh5 131 10 of of IN cord-329357-ujh2nmh5 131 11 the the DT cord-329357-ujh2nmh5 131 12 Tunisian tunisian JJ cord-329357-ujh2nmh5 131 13 government government NN cord-329357-ujh2nmh5 131 14 . . . cord-329357-ujh2nmh5 132 1 Indeed indeed RB cord-329357-ujh2nmh5 132 2 , , , cord-329357-ujh2nmh5 132 3 in in IN cord-329357-ujh2nmh5 132 4 Tunisia Tunisia NNP cord-329357-ujh2nmh5 132 5 , , , cord-329357-ujh2nmh5 132 6 the the DT cord-329357-ujh2nmh5 132 7 control control NN cord-329357-ujh2nmh5 132 8 policy policy NN cord-329357-ujh2nmh5 132 9 consists consist VBZ cord-329357-ujh2nmh5 132 10 of of IN cord-329357-ujh2nmh5 132 11 an an DT cord-329357-ujh2nmh5 132 12 intense intense JJ cord-329357-ujh2nmh5 132 13 isolation isolation NN cord-329357-ujh2nmh5 132 14 campaign campaign NN cord-329357-ujh2nmh5 132 15 targeting target VBG cord-329357-ujh2nmh5 132 16 sick sick JJ cord-329357-ujh2nmh5 132 17 individuals individual NNS cord-329357-ujh2nmh5 132 18 and and CC cord-329357-ujh2nmh5 132 19 their -PRON- PRP$ cord-329357-ujh2nmh5 132 20 relatives relative NNS cord-329357-ujh2nmh5 132 21 . . . cord-329357-ujh2nmh5 133 1 An an DT cord-329357-ujh2nmh5 133 2 effort effort NN cord-329357-ujh2nmh5 133 3 of of IN cord-329357-ujh2nmh5 133 4 testing testing NN cord-329357-ujh2nmh5 133 5 was be VBD cord-329357-ujh2nmh5 133 6 carried carry VBN cord-329357-ujh2nmh5 133 7 out out RP cord-329357-ujh2nmh5 133 8 in in IN cord-329357-ujh2nmh5 133 9 a a DT cord-329357-ujh2nmh5 133 10 targeted target VBN cord-329357-ujh2nmh5 133 11 manner manner NN cord-329357-ujh2nmh5 133 12 , , , cord-329357-ujh2nmh5 133 13 similar similar JJ cord-329357-ujh2nmh5 133 14 to to IN cord-329357-ujh2nmh5 133 15 snowball snowball NN cord-329357-ujh2nmh5 133 16 sampling sampling NN cord-329357-ujh2nmh5 133 17 . . . cord-329357-ujh2nmh5 134 1 This this DT cord-329357-ujh2nmh5 134 2 approach approach NN cord-329357-ujh2nmh5 134 3 enabled enable VBD cord-329357-ujh2nmh5 134 4 to to TO cord-329357-ujh2nmh5 134 5 have have VB cord-329357-ujh2nmh5 134 6 a a DT cord-329357-ujh2nmh5 134 7 major major JJ cord-329357-ujh2nmh5 134 8 screening screening NN cord-329357-ujh2nmh5 134 9 effort effort NN cord-329357-ujh2nmh5 134 10 on on IN cord-329357-ujh2nmh5 134 11 infected infected JJ cord-329357-ujh2nmh5 134 12 and and CC cord-329357-ujh2nmh5 134 13 asymptomatic asymptomatic JJ cord-329357-ujh2nmh5 134 14 individuals individual NNS cord-329357-ujh2nmh5 134 15 . . . cord-329357-ujh2nmh5 135 1 Finally finally RB cord-329357-ujh2nmh5 135 2 , , , cord-329357-ujh2nmh5 135 3 the the DT cord-329357-ujh2nmh5 135 4 model model NN cord-329357-ujh2nmh5 135 5 was be VBD cord-329357-ujh2nmh5 135 6 successfully successfully RB cord-329357-ujh2nmh5 135 7 able able JJ cord-329357-ujh2nmh5 135 8 to to TO cord-329357-ujh2nmh5 135 9 predict predict VB cord-329357-ujh2nmh5 135 10 the the DT cord-329357-ujh2nmh5 135 11 time time NN cord-329357-ujh2nmh5 135 12 of of IN cord-329357-ujh2nmh5 135 13 the the DT cord-329357-ujh2nmh5 135 14 peak peak NN cord-329357-ujh2nmh5 135 15 at at IN cord-329357-ujh2nmh5 135 16 the the DT cord-329357-ujh2nmh5 135 17 end end NN cord-329357-ujh2nmh5 135 18 of of IN cord-329357-ujh2nmh5 135 19 April April NNP cord-329357-ujh2nmh5 135 20 . . . cord-329357-ujh2nmh5 136 1 A.1 A.1 NNP cord-329357-ujh2nmh5 136 2 Computation Computation NNP cord-329357-ujh2nmh5 136 3 of of IN cord-329357-ujh2nmh5 136 4 the the DT cord-329357-ujh2nmh5 136 5 basic basic JJ cord-329357-ujh2nmh5 136 6 reproduction reproduction NN cord-329357-ujh2nmh5 136 7 number number NN cord-329357-ujh2nmh5 136 8 R r NN cord-329357-ujh2nmh5 136 9 0 0 CD cord-329357-ujh2nmh5 137 1 We -PRON- PRP cord-329357-ujh2nmh5 137 2 use use VBP cord-329357-ujh2nmh5 137 3 the the DT cord-329357-ujh2nmh5 137 4 next next JJ cord-329357-ujh2nmh5 137 5 generation generation NN cord-329357-ujh2nmh5 137 6 matrix matrix NN cord-329357-ujh2nmh5 137 7 to to TO cord-329357-ujh2nmh5 137 8 drive drive VB cord-329357-ujh2nmh5 137 9 the the DT cord-329357-ujh2nmh5 137 10 basic basic JJ cord-329357-ujh2nmh5 137 11 reproduction reproduction NN cord-329357-ujh2nmh5 137 12 number number NN cord-329357-ujh2nmh5 137 13 R0 R0 NNP cord-329357-ujh2nmh5 137 14 [ [ -LRB- cord-329357-ujh2nmh5 137 15 3 3 CD cord-329357-ujh2nmh5 137 16 ] ] -RRB- cord-329357-ujh2nmh5 137 17 . . . cord-329357-ujh2nmh5 138 1 In in IN cord-329357-ujh2nmh5 138 2 the the DT cord-329357-ujh2nmh5 138 3 system system NN cord-329357-ujh2nmh5 138 4 ( ( -LRB- cord-329357-ujh2nmh5 138 5 1 1 LS cord-329357-ujh2nmh5 138 6 ) ) -RRB- cord-329357-ujh2nmh5 138 7 we -PRON- PRP cord-329357-ujh2nmh5 138 8 have have VBP cord-329357-ujh2nmh5 138 9 two two CD cord-329357-ujh2nmh5 138 10 infected infected JJ cord-329357-ujh2nmh5 138 11 compartments compartment NNS cord-329357-ujh2nmh5 138 12 represented represent VBN cord-329357-ujh2nmh5 138 13 by by IN cord-329357-ujh2nmh5 138 14 the the DT cord-329357-ujh2nmh5 138 15 second second JJ cord-329357-ujh2nmh5 138 16 and and CC cord-329357-ujh2nmh5 138 17 third third JJ cord-329357-ujh2nmh5 138 18 equations equation NNS cord-329357-ujh2nmh5 138 19 of of IN cord-329357-ujh2nmh5 138 20 the the DT cord-329357-ujh2nmh5 138 21 system system NN cord-329357-ujh2nmh5 138 22 . . . cord-329357-ujh2nmh5 139 1 Therefore therefore RB cord-329357-ujh2nmh5 139 2 , , , cord-329357-ujh2nmh5 139 3 at at IN cord-329357-ujh2nmh5 139 4 the the DT cord-329357-ujh2nmh5 139 5 infection infection NN cord-329357-ujh2nmh5 139 6 - - HYPH cord-329357-ujh2nmh5 139 7 free free JJ cord-329357-ujh2nmh5 139 8 steady steady JJ cord-329357-ujh2nmh5 139 9 state state NN cord-329357-ujh2nmh5 139 10 , , , cord-329357-ujh2nmh5 139 11 i.e. i.e. FW cord-329357-ujh2nmh5 139 12 for for IN cord-329357-ujh2nmh5 139 13 a a DT cord-329357-ujh2nmh5 139 14 small small JJ cord-329357-ujh2nmh5 139 15 ( ( -LRB- cord-329357-ujh2nmh5 139 16 As as IN cord-329357-ujh2nmh5 139 17 , , , cord-329357-ujh2nmh5 139 18 I -PRON- PRP cord-329357-ujh2nmh5 139 19 ) ) -RRB- cord-329357-ujh2nmh5 139 20 and and CC cord-329357-ujh2nmh5 139 21 S S NNP cord-329357-ujh2nmh5 139 22 = = SYM cord-329357-ujh2nmh5 139 23 S0 S0 NNP cord-329357-ujh2nmh5 139 24 , , , cord-329357-ujh2nmh5 139 25 the the DT cord-329357-ujh2nmh5 139 26 linear linear JJ cord-329357-ujh2nmh5 139 27 epidemic epidemic NN cord-329357-ujh2nmh5 139 28 subsystem subsystem NN cord-329357-ujh2nmh5 139 29 is be VBZ cord-329357-ujh2nmh5 139 30 : : : cord-329357-ujh2nmh5 139 31 If if IN cord-329357-ujh2nmh5 139 32 we -PRON- PRP cord-329357-ujh2nmh5 139 33 set set VBP cord-329357-ujh2nmh5 139 34 X x NN cord-329357-ujh2nmh5 139 35 = = NN cord-329357-ujh2nmh5 139 36 ( ( -LRB- cord-329357-ujh2nmh5 139 37 As as IN cord-329357-ujh2nmh5 139 38 , , , cord-329357-ujh2nmh5 139 39 I i NN cord-329357-ujh2nmh5 139 40 ) ) -RRB- cord-329357-ujh2nmh5 139 41 T T NNP cord-329357-ujh2nmh5 139 42 as as IN cord-329357-ujh2nmh5 139 43 the the DT cord-329357-ujh2nmh5 139 44 vector vector NN cord-329357-ujh2nmh5 139 45 of of IN cord-329357-ujh2nmh5 139 46 infected infect VBN cord-329357-ujh2nmh5 139 47 , , , cord-329357-ujh2nmh5 139 48 F F NNP cord-329357-ujh2nmh5 139 49 is be VBZ cord-329357-ujh2nmh5 139 50 the the DT cord-329357-ujh2nmh5 139 51 matrix matrix NN cord-329357-ujh2nmh5 139 52 that that WDT cord-329357-ujh2nmh5 139 53 represents represent VBZ cord-329357-ujh2nmh5 139 54 the the DT cord-329357-ujh2nmh5 139 55 production production NN cord-329357-ujh2nmh5 139 56 of of IN cord-329357-ujh2nmh5 139 57 new new JJ cord-329357-ujh2nmh5 139 58 infections infection NNS cord-329357-ujh2nmh5 139 59 and and CC cord-329357-ujh2nmh5 139 60 T T NNP cord-329357-ujh2nmh5 139 61 the the DT cord-329357-ujh2nmh5 139 62 matrix matrix NN cord-329357-ujh2nmh5 139 63 of of IN cord-329357-ujh2nmh5 139 64 transfer transfer NN cord-329357-ujh2nmh5 139 65 into into IN cord-329357-ujh2nmh5 139 66 and and CC cord-329357-ujh2nmh5 139 67 out out IN cord-329357-ujh2nmh5 139 68 of of IN cord-329357-ujh2nmh5 139 69 the the DT cord-329357-ujh2nmh5 139 70 compartment compartment NN cord-329357-ujh2nmh5 139 71 by by IN cord-329357-ujh2nmh5 139 72 transmission transmission NN cord-329357-ujh2nmh5 139 73 , , , cord-329357-ujh2nmh5 139 74 mortality mortality NN cord-329357-ujh2nmh5 139 75 , , , cord-329357-ujh2nmh5 139 76 quarantine quarantine NN cord-329357-ujh2nmh5 139 77 , , , cord-329357-ujh2nmh5 139 78 and and CC cord-329357-ujh2nmh5 139 79 recovery recovery NN cord-329357-ujh2nmh5 139 80 , , , cord-329357-ujh2nmh5 139 81 then then RB cord-329357-ujh2nmh5 139 82 the the DT cord-329357-ujh2nmh5 139 83 matrix matrix NN cord-329357-ujh2nmh5 139 84 form form NN cord-329357-ujh2nmh5 139 85 of of IN cord-329357-ujh2nmh5 139 86 the the DT cord-329357-ujh2nmh5 139 87 linear linear JJ cord-329357-ujh2nmh5 139 88 epidemic epidemic NN cord-329357-ujh2nmh5 139 89 subsystem subsystem NN cord-329357-ujh2nmh5 139 90 is be VBZ cord-329357-ujh2nmh5 139 91 : : : cord-329357-ujh2nmh5 140 1 Therefore therefore RB cord-329357-ujh2nmh5 140 2 , , , cord-329357-ujh2nmh5 140 3 the the DT cord-329357-ujh2nmh5 140 4 next next JJ cord-329357-ujh2nmh5 140 5 generation generation NN cord-329357-ujh2nmh5 140 6 matrix matrix NN cord-329357-ujh2nmh5 140 7 is be VBZ cord-329357-ujh2nmh5 140 8 : : : cord-329357-ujh2nmh5 140 9 Knowing know VBG cord-329357-ujh2nmh5 140 10 that that IN cord-329357-ujh2nmh5 140 11 the the DT cord-329357-ujh2nmh5 140 12 basic basic JJ cord-329357-ujh2nmh5 140 13 reproductive reproductive JJ cord-329357-ujh2nmh5 140 14 number number NN cord-329357-ujh2nmh5 140 15 R0 R0 NNP cord-329357-ujh2nmh5 140 16 is be VBZ cord-329357-ujh2nmh5 140 17 the the DT cord-329357-ujh2nmh5 140 18 largest large JJS cord-329357-ujh2nmh5 140 19 eigenvalue eigenvalue NN cord-329357-ujh2nmh5 140 20 of of IN cord-329357-ujh2nmh5 140 21 the the DT cord-329357-ujh2nmh5 140 22 next next JJ cord-329357-ujh2nmh5 140 23 - - HYPH cord-329357-ujh2nmh5 140 24 generation generation NN cord-329357-ujh2nmh5 140 25 matrix matrix NN cord-329357-ujh2nmh5 141 1 , , , cord-329357-ujh2nmh5 141 2 then then RB cord-329357-ujh2nmh5 141 3 : : : cord-329357-ujh2nmh5 141 4 Step step NN cord-329357-ujh2nmh5 141 5 1 1 CD cord-329357-ujh2nmh5 141 6 : : : cord-329357-ujh2nmh5 142 1 In in IN cord-329357-ujh2nmh5 142 2 this this DT cord-329357-ujh2nmh5 142 3 part part NN cord-329357-ujh2nmh5 142 4 , , , cord-329357-ujh2nmh5 142 5 to to TO cord-329357-ujh2nmh5 142 6 estimate estimate VB cord-329357-ujh2nmh5 142 7 the the DT cord-329357-ujh2nmh5 142 8 initial initial JJ cord-329357-ujh2nmh5 142 9 conditions condition NNS cord-329357-ujh2nmh5 142 10 As(t0 As(t0 NFP cord-329357-ujh2nmh5 142 11 ) ) -RRB- cord-329357-ujh2nmh5 143 1 and and CC cord-329357-ujh2nmh5 143 2 I(t0 I(t0 NNP cord-329357-ujh2nmh5 143 3 ) ) -RRB- cord-329357-ujh2nmh5 143 4 and and CC cord-329357-ujh2nmh5 143 5 parameters parameter NNS cord-329357-ujh2nmh5 143 6 α1 α1 VBP cord-329357-ujh2nmh5 143 7 and and CC cord-329357-ujh2nmh5 143 8 α2 α2 NN cord-329357-ujh2nmh5 143 9 we -PRON- PRP cord-329357-ujh2nmh5 143 10 adapt adapt VBP cord-329357-ujh2nmh5 143 11 the the DT cord-329357-ujh2nmh5 143 12 method method NN cord-329357-ujh2nmh5 143 13 developed develop VBN cord-329357-ujh2nmh5 143 14 by by IN cord-329357-ujh2nmh5 143 15 [ [ -LRB- cord-329357-ujh2nmh5 143 16 4 4 CD cord-329357-ujh2nmh5 143 17 ] ] -RRB- cord-329357-ujh2nmh5 143 18 . . . cord-329357-ujh2nmh5 144 1 Let let VB cord-329357-ujh2nmh5 144 2 9 9 CD cord-329357-ujh2nmh5 144 3 . . . cord-329357-ujh2nmh5 145 1 CC CC NNP cord-329357-ujh2nmh5 145 2 - - HYPH cord-329357-ujh2nmh5 145 3 BY BY NNP cord-329357-ujh2nmh5 145 4 - - HYPH cord-329357-ujh2nmh5 145 5 NC NC NNP cord-329357-ujh2nmh5 145 6 - - HYPH cord-329357-ujh2nmh5 145 7 ND ND NNP cord-329357-ujh2nmh5 145 8 4.0 4.0 CD cord-329357-ujh2nmh5 145 9 International international JJ cord-329357-ujh2nmh5 145 10 license license NN cord-329357-ujh2nmh5 146 1 It -PRON- PRP cord-329357-ujh2nmh5 146 2 is be VBZ cord-329357-ujh2nmh5 146 3 made make VBN cord-329357-ujh2nmh5 146 4 available available JJ cord-329357-ujh2nmh5 146 5 under under IN cord-329357-ujh2nmh5 146 6 a a DT cord-329357-ujh2nmh5 147 1 is be VBZ cord-329357-ujh2nmh5 147 2 the the DT cord-329357-ujh2nmh5 147 3 author author NN cord-329357-ujh2nmh5 147 4 / / SYM cord-329357-ujh2nmh5 147 5 funder funder NN cord-329357-ujh2nmh5 147 6 , , , cord-329357-ujh2nmh5 147 7 who who WP cord-329357-ujh2nmh5 147 8 has have VBZ cord-329357-ujh2nmh5 147 9 granted grant VBN cord-329357-ujh2nmh5 147 10 medRxiv medRxiv NNS cord-329357-ujh2nmh5 147 11 a a DT cord-329357-ujh2nmh5 147 12 license license NN cord-329357-ujh2nmh5 147 13 to to TO cord-329357-ujh2nmh5 147 14 display display VB cord-329357-ujh2nmh5 147 15 the the DT cord-329357-ujh2nmh5 147 16 preprint preprint NN cord-329357-ujh2nmh5 147 17 in in IN cord-329357-ujh2nmh5 147 18 perpetuity perpetuity NN cord-329357-ujh2nmh5 147 19 . . . cord-329357-ujh2nmh5 148 1 The the DT cord-329357-ujh2nmh5 148 2 copyright copyright NN cord-329357-ujh2nmh5 148 3 holder holder NN cord-329357-ujh2nmh5 148 4 for for IN cord-329357-ujh2nmh5 148 5 this this DT cord-329357-ujh2nmh5 148 6 preprint preprint NN cord-329357-ujh2nmh5 148 7 this this DT cord-329357-ujh2nmh5 148 8 version version NN cord-329357-ujh2nmh5 148 9 posted post VBN cord-329357-ujh2nmh5 148 10 May May NNP cord-329357-ujh2nmh5 148 11 6 6 CD cord-329357-ujh2nmh5 148 12 , , , cord-329357-ujh2nmh5 148 13 2020 2020 CD cord-329357-ujh2nmh5 148 14 . . . cord-329357-ujh2nmh5 148 15 . . . cord-329357-ujh2nmh5 149 1 https://doi.org/10.1101/2020.05.02.20088492 https://doi.org/10.1101/2020.05.02.20088492 NNP cord-329357-ujh2nmh5 149 2 doi doi XX cord-329357-ujh2nmh5 149 3 : : : cord-329357-ujh2nmh5 150 1 medRxiv medRxiv NNP cord-329357-ujh2nmh5 150 2 preprint preprint NN cord-329357-ujh2nmh5 150 3 γ1 γ1 NN cord-329357-ujh2nmh5 150 4 = = NFP cord-329357-ujh2nmh5 151 1 γ γ NNP cord-329357-ujh2nmh5 151 2 + + CC cord-329357-ujh2nmh5 151 3 µ µ NN cord-329357-ujh2nmh5 151 4 and and CC cord-329357-ujh2nmh5 151 5 CR(t CR(t NNP cord-329357-ujh2nmh5 151 6 ) ) -RRB- cord-329357-ujh2nmh5 152 1 the the DT cord-329357-ujh2nmh5 152 2 cumulative cumulative JJ cord-329357-ujh2nmh5 152 3 number number NN cord-329357-ujh2nmh5 152 4 of of IN cord-329357-ujh2nmh5 152 5 reported report VBN cord-329357-ujh2nmh5 152 6 infectious infectious JJ cord-329357-ujh2nmh5 152 7 cases case NNS cord-329357-ujh2nmh5 152 8 at at IN cord-329357-ujh2nmh5 152 9 time time NN cord-329357-ujh2nmh5 152 10 t t NN cord-329357-ujh2nmh5 152 11 , , , cord-329357-ujh2nmh5 152 12 defined define VBN cord-329357-ujh2nmh5 152 13 by by IN cord-329357-ujh2nmh5 152 14 , , . cord-329357-ujh2nmh5 153 1 Let let VB cord-329357-ujh2nmh5 153 2 's -PRON- PRP cord-329357-ujh2nmh5 153 3 assume assume VB cord-329357-ujh2nmh5 153 4 that that IN cord-329357-ujh2nmh5 153 5 CR(t CR(t NNP cord-329357-ujh2nmh5 153 6 ) ) -RRB- cord-329357-ujh2nmh5 153 7 = = NFP cord-329357-ujh2nmh5 154 1 χ1 χ1 RB cord-329357-ujh2nmh5 154 2 exp(χ2 exp(χ2 NNP cord-329357-ujh2nmh5 154 3 t t NN cord-329357-ujh2nmh5 154 4 ) ) -RRB- cord-329357-ujh2nmh5 154 5 − − NN cord-329357-ujh2nmh5 154 6 χ3 χ3 NNP cord-329357-ujh2nmh5 154 7 with with IN cord-329357-ujh2nmh5 154 8 χ χ NNP cord-329357-ujh2nmh5 154 9 , , , cord-329357-ujh2nmh5 154 10 χ2 χ2 NNP cord-329357-ujh2nmh5 154 11 and and CC cord-329357-ujh2nmh5 154 12 χ3 χ3 NNP cord-329357-ujh2nmh5 154 13 three three CD cord-329357-ujh2nmh5 154 14 positive positive JJ cord-329357-ujh2nmh5 154 15 parameters parameter NNS cord-329357-ujh2nmh5 154 16 . . . cord-329357-ujh2nmh5 155 1 By by IN cord-329357-ujh2nmh5 155 2 assuming assume VBG cord-329357-ujh2nmh5 155 3 that that IN cord-329357-ujh2nmh5 155 4 , , , cord-329357-ujh2nmh5 155 5 CR(t0 CR(t0 NNP cord-329357-ujh2nmh5 155 6 ) ) -RRB- cord-329357-ujh2nmh5 155 7 = = SYM cord-329357-ujh2nmh5 155 8 0 0 CD cord-329357-ujh2nmh5 155 9 equation equation NN cord-329357-ujh2nmh5 155 10 ( ( -LRB- cord-329357-ujh2nmh5 155 11 3 3 CD cord-329357-ujh2nmh5 155 12 ) ) -RRB- cord-329357-ujh2nmh5 155 13 implies imply VBZ cord-329357-ujh2nmh5 155 14 that that DT cord-329357-ujh2nmh5 155 15 : : : cord-329357-ujh2nmh5 155 16 and and CC cord-329357-ujh2nmh5 155 17 then then RB cord-329357-ujh2nmh5 155 18 t0 t0 NNP cord-329357-ujh2nmh5 155 19 = = SYM cord-329357-ujh2nmh5 155 20 1 1 CD cord-329357-ujh2nmh5 155 21 χ2 χ2 NNP cord-329357-ujh2nmh5 155 22 ( ( -LRB- cord-329357-ujh2nmh5 155 23 ln(χ3 ln(χ3 JJ cord-329357-ujh2nmh5 155 24 ) ) -RRB- cord-329357-ujh2nmh5 155 25 − − CD cord-329357-ujh2nmh5 155 26 ln(χ1 ln(χ1 CD cord-329357-ujh2nmh5 155 27 ) ) -RRB- cord-329357-ujh2nmh5 155 28 ) ) -RRB- cord-329357-ujh2nmh5 155 29 . . . cord-329357-ujh2nmh5 156 1 Using use VBG cord-329357-ujh2nmh5 156 2 equation equation NN cord-329357-ujh2nmh5 156 3 ( ( -LRB- cord-329357-ujh2nmh5 156 4 3 3 CD cord-329357-ujh2nmh5 156 5 ) ) -RRB- cord-329357-ujh2nmh5 156 6 , , , cord-329357-ujh2nmh5 156 7 we -PRON- PRP cord-329357-ujh2nmh5 156 8 have have VBP cord-329357-ujh2nmh5 156 9 also also RB cord-329357-ujh2nmh5 156 10 : : : cord-329357-ujh2nmh5 156 11 Let let VB cord-329357-ujh2nmh5 156 12 's -PRON- PRP cord-329357-ujh2nmh5 156 13 note note VB cord-329357-ujh2nmh5 156 14 τ τ NN cord-329357-ujh2nmh5 156 15 = = SYM cord-329357-ujh2nmh5 156 16 τ τ NN cord-329357-ujh2nmh5 156 17 2 2 CD cord-329357-ujh2nmh5 156 18 τ τ NN cord-329357-ujh2nmh5 156 19 1 1 CD cord-329357-ujh2nmh5 156 20 and and CC cord-329357-ujh2nmh5 156 21 H(t h(t NN cord-329357-ujh2nmh5 156 22 ) ) -RRB- cord-329357-ujh2nmh5 157 1 = = NFP cord-329357-ujh2nmh5 158 1 As(t As(t NNP cord-329357-ujh2nmh5 158 2 ) ) -RRB- cord-329357-ujh2nmh5 158 3 + + CC cord-329357-ujh2nmh5 158 4 τ τ NN cord-329357-ujh2nmh5 158 5 I(t I(t NNP cord-329357-ujh2nmh5 158 6 ) ) -RRB- cord-329357-ujh2nmh5 158 7 . . . cord-329357-ujh2nmh5 159 1 Then then RB cord-329357-ujh2nmh5 159 2 we -PRON- PRP cord-329357-ujh2nmh5 159 3 have have VBP cord-329357-ujh2nmh5 159 4 , , , cord-329357-ujh2nmh5 160 1 In in IN cord-329357-ujh2nmh5 160 2 order order NN cord-329357-ujh2nmh5 160 3 to to TO cord-329357-ujh2nmh5 160 4 simplify simplify VB cord-329357-ujh2nmh5 160 5 the the DT cord-329357-ujh2nmh5 160 6 calculus calculus NN cord-329357-ujh2nmh5 160 7 , , , cord-329357-ujh2nmh5 160 8 we -PRON- PRP cord-329357-ujh2nmh5 160 9 will will MD cord-329357-ujh2nmh5 160 10 use use VB cord-329357-ujh2nmh5 160 11 the the DT cord-329357-ujh2nmh5 160 12 normalized normalized JJ cord-329357-ujh2nmh5 160 13 functions function NNS cord-329357-ujh2nmh5 160 14 , , , cord-329357-ujh2nmh5 160 15 As as IN cord-329357-ujh2nmh5 160 16 H H NNP cord-329357-ujh2nmh5 160 17 and and CC cord-329357-ujh2nmh5 160 18 I I NNP cord-329357-ujh2nmh5 160 19 H H NNP cord-329357-ujh2nmh5 160 20 . . . cord-329357-ujh2nmh5 161 1 We -PRON- PRP cord-329357-ujh2nmh5 161 2 have have VBP cord-329357-ujh2nmh5 161 3 : : : cord-329357-ujh2nmh5 161 4 Rewriting rewrite VBG cord-329357-ujh2nmh5 161 5 the the DT cord-329357-ujh2nmh5 161 6 third third JJ cord-329357-ujh2nmh5 161 7 equation equation NN cord-329357-ujh2nmh5 161 8 ( ( -LRB- cord-329357-ujh2nmh5 161 9 1 1 CD cord-329357-ujh2nmh5 161 10 ) ) -RRB- cord-329357-ujh2nmh5 161 11 , , , cord-329357-ujh2nmh5 161 12 with with IN cord-329357-ujh2nmh5 161 13 H h NN cord-329357-ujh2nmh5 161 14 variable variable NN cord-329357-ujh2nmh5 161 15 , , , cord-329357-ujh2nmh5 161 16 dI di FW cord-329357-ujh2nmh5 161 17 dt dt NN cord-329357-ujh2nmh5 161 18 = = NN cord-329357-ujh2nmh5 161 19 βH βh XX cord-329357-ujh2nmh5 161 20 − − NNP cord-329357-ujh2nmh5 162 1 ( ( -LRB- cord-329357-ujh2nmh5 162 2 τ2 τ2 NNP cord-329357-ujh2nmh5 162 3 + + CC cord-329357-ujh2nmh5 163 1 βτ βτ IN cord-329357-ujh2nmh5 163 2 + + CD cord-329357-ujh2nmh5 164 1 γ1)I γ1)i CD cord-329357-ujh2nmh5 165 1 By by IN cord-329357-ujh2nmh5 165 2 assuming assume VBG cord-329357-ujh2nmh5 165 3 , , , cord-329357-ujh2nmh5 165 4 that that IN cord-329357-ujh2nmh5 165 5 I(t I(t NNP cord-329357-ujh2nmh5 165 6 ) ) -RRB- cord-329357-ujh2nmh5 166 1 = = NFP cord-329357-ujh2nmh5 167 1 I(t0 I(t0 NNP cord-329357-ujh2nmh5 167 2 ) ) -RRB- cord-329357-ujh2nmh5 167 3 exp(χ2(t exp(χ2(t NNS cord-329357-ujh2nmh5 167 4 − − CD cord-329357-ujh2nmh5 167 5 t0 t0 NNP cord-329357-ujh2nmh5 167 6 ) ) -RRB- cord-329357-ujh2nmh5 167 7 ) ) -RRB- cord-329357-ujh2nmh5 167 8 and and CC cord-329357-ujh2nmh5 167 9 substituting substitute VBG cord-329357-ujh2nmh5 167 10 in in IN cord-329357-ujh2nmh5 167 11 equation equation NN cord-329357-ujh2nmh5 167 12 ( ( -LRB- cord-329357-ujh2nmh5 167 13 15 15 CD cord-329357-ujh2nmh5 167 14 ) ) -RRB- cord-329357-ujh2nmh5 168 1 , , , cord-329357-ujh2nmh5 168 2 we -PRON- PRP cord-329357-ujh2nmh5 168 3 obtain obtain VBP cord-329357-ujh2nmh5 168 4 : : : cord-329357-ujh2nmh5 169 1 χ2I(t0 χ2i(t0 NN cord-329357-ujh2nmh5 169 2 ) ) -RRB- cord-329357-ujh2nmh5 169 3 = = NFP cord-329357-ujh2nmh5 169 4 βH(t0 βH(t0 NFP cord-329357-ujh2nmh5 169 5 ) ) -RRB- cord-329357-ujh2nmh5 169 6 − − NN cord-329357-ujh2nmh5 170 1 ( ( -LRB- cord-329357-ujh2nmh5 170 2 τ2 τ2 NNP cord-329357-ujh2nmh5 170 3 + + CC cord-329357-ujh2nmh5 171 1 βτ βτ CC cord-329357-ujh2nmh5 172 1 + + CC cord-329357-ujh2nmh5 172 2 γ1)I(t0 γ1)i(t0 NN cord-329357-ujh2nmh5 172 3 ) ) -RRB- cord-329357-ujh2nmh5 172 4 Equation equation NN cord-329357-ujh2nmh5 172 5 ( ( -LRB- cord-329357-ujh2nmh5 172 6 16 16 CD cord-329357-ujh2nmh5 172 7 ) ) -RRB- cord-329357-ujh2nmh5 172 8 , , , cord-329357-ujh2nmh5 172 9 implies imply VBZ cord-329357-ujh2nmh5 172 10 By by IN cord-329357-ujh2nmh5 172 11 using use VBG cord-329357-ujh2nmh5 172 12 equation equation NN cord-329357-ujh2nmh5 172 13 ( ( -LRB- cord-329357-ujh2nmh5 172 14 14 14 CD cord-329357-ujh2nmh5 172 15 ) ) -RRB- cord-329357-ujh2nmh5 172 16 and and CC cord-329357-ujh2nmh5 172 17 ( ( -LRB- cord-329357-ujh2nmh5 172 18 17 17 CD cord-329357-ujh2nmh5 172 19 ) ) -RRB- cord-329357-ujh2nmh5 172 20 , , , cord-329357-ujh2nmh5 172 21 we -PRON- PRP cord-329357-ujh2nmh5 172 22 obtain obtain VBP cord-329357-ujh2nmh5 172 23 : : : cord-329357-ujh2nmh5 172 24 Let let VB cord-329357-ujh2nmh5 172 25 's -PRON- PRP cord-329357-ujh2nmh5 172 26 assume assume VB cord-329357-ujh2nmh5 172 27 that that IN cord-329357-ujh2nmh5 172 28 α2 α2 NN cord-329357-ujh2nmh5 172 29 = = NFP cord-329357-ujh2nmh5 172 30 f f NNP cord-329357-ujh2nmh5 172 31 α1 α1 FW cord-329357-ujh2nmh5 172 32 with with IN cord-329357-ujh2nmh5 172 33 f f NNP cord-329357-ujh2nmh5 172 34 a a DT cord-329357-ujh2nmh5 172 35 fixed fix VBN cord-329357-ujh2nmh5 172 36 parameter parameter NN cord-329357-ujh2nmh5 172 37 bigger big JJR cord-329357-ujh2nmh5 172 38 than than IN cord-329357-ujh2nmh5 172 39 1 1 CD cord-329357-ujh2nmh5 172 40 . . . cord-329357-ujh2nmh5 173 1 The the DT cord-329357-ujh2nmh5 173 2 parameter parameter NN cord-329357-ujh2nmh5 173 3 α1 α1 NN cord-329357-ujh2nmh5 173 4 is be VBZ cord-329357-ujh2nmh5 173 5 evaluated evaluate VBN cord-329357-ujh2nmh5 173 6 using use VBG cord-329357-ujh2nmh5 173 7 As(t As(t NNP cord-329357-ujh2nmh5 173 8 ) ) -RRB- cord-329357-ujh2nmh5 174 1 = = NFP cord-329357-ujh2nmh5 175 1 As(t0 As(t0 NFP cord-329357-ujh2nmh5 175 2 ) ) -RRB- cord-329357-ujh2nmh5 175 3 exp(χ2(t exp(χ2(t NNP cord-329357-ujh2nmh5 175 4 − − CD cord-329357-ujh2nmh5 175 5 t0 t0 NNP cord-329357-ujh2nmh5 175 6 ) ) -RRB- cord-329357-ujh2nmh5 175 7 ) ) -RRB- cord-329357-ujh2nmh5 176 1 and and CC cord-329357-ujh2nmh5 176 2 the the DT cord-329357-ujh2nmh5 176 3 second second JJ cord-329357-ujh2nmh5 176 4 equation equation NN cord-329357-ujh2nmh5 176 5 of of IN cord-329357-ujh2nmh5 176 6 ( ( -LRB- cord-329357-ujh2nmh5 176 7 1 1 CD cord-329357-ujh2nmh5 176 8 ) ) -RRB- cord-329357-ujh2nmh5 176 9 at at IN cord-329357-ujh2nmh5 176 10 t0 t0 NNP cord-329357-ujh2nmh5 176 11 , , , cord-329357-ujh2nmh5 176 12 we -PRON- PRP cord-329357-ujh2nmh5 176 13 obtain obtain VBP cord-329357-ujh2nmh5 176 14 : : : cord-329357-ujh2nmh5 177 1 χ2 χ2 NNP cord-329357-ujh2nmh5 177 2 As(t0 As(t0 NFP cord-329357-ujh2nmh5 177 3 ) ) -RRB- cord-329357-ujh2nmh5 177 4 H(t0 H(t0 NNP cord-329357-ujh2nmh5 177 5 ) ) -RRB- cord-329357-ujh2nmh5 177 6 = = NFP cord-329357-ujh2nmh5 178 1 α1S0(f α1s0(f XX cord-329357-ujh2nmh5 178 2 I(t0 i(t0 CD cord-329357-ujh2nmh5 178 3 ) ) -RRB- cord-329357-ujh2nmh5 178 4 H(t0 H(t0 NNP cord-329357-ujh2nmh5 178 5 ) ) -RRB- cord-329357-ujh2nmh5 178 6 + + . cord-329357-ujh2nmh5 179 1 As(t0 As(t0 NFP cord-329357-ujh2nmh5 179 2 ) ) -RRB- cord-329357-ujh2nmh5 179 3 H(t0 H(t0 NNP cord-329357-ujh2nmh5 179 4 ) ) -RRB- cord-329357-ujh2nmh5 179 5 ) ) -RRB- cord-329357-ujh2nmh5 180 1 − − NNP cord-329357-ujh2nmh5 181 1 ( ( -LRB- cord-329357-ujh2nmh5 181 2 β β NN cord-329357-ujh2nmh5 181 3 + + CC cord-329357-ujh2nmh5 181 4 τ1 τ1 NN cord-329357-ujh2nmh5 181 5 ) ) -RRB- cord-329357-ujh2nmh5 182 1 As(t0 As(t0 NFP cord-329357-ujh2nmh5 182 2 ) ) -RRB- cord-329357-ujh2nmh5 182 3 H(t0 H(t0 NNP cord-329357-ujh2nmh5 182 4 ) ) -RRB- cord-329357-ujh2nmh5 183 1 ⇔ ⇔ CD cord-329357-ujh2nmh5 183 2 ( ( -LRB- cord-329357-ujh2nmh5 183 3 19 19 CD cord-329357-ujh2nmh5 183 4 ) ) -RRB- cord-329357-ujh2nmh5 183 5 α1 α1 NN cord-329357-ujh2nmh5 183 6 = = NFP cord-329357-ujh2nmh5 184 1 χ2 χ2 NNP cord-329357-ujh2nmh5 184 2 + + CC cord-329357-ujh2nmh5 184 3 β β XX cord-329357-ujh2nmh5 185 1 + + CC cord-329357-ujh2nmh5 185 2 τ1 τ1 NN cord-329357-ujh2nmh5 185 3 ( ( -LRB- cord-329357-ujh2nmh5 185 4 f f NN cord-329357-ujh2nmh5 185 5 I(t I(t NNP cord-329357-ujh2nmh5 185 6 0 0 CD cord-329357-ujh2nmh5 185 7 ) ) -RRB- cord-329357-ujh2nmh5 186 1 As(t As(t NNP cord-329357-ujh2nmh5 186 2 0 0 CD cord-329357-ujh2nmh5 186 3 ) ) -RRB- cord-329357-ujh2nmh5 187 1 + + SYM cord-329357-ujh2nmh5 187 2 1)S0 1)s0 CD cord-329357-ujh2nmh5 187 3 ( ( -LRB- cord-329357-ujh2nmh5 187 4 20 20 CD cord-329357-ujh2nmh5 187 5 ) ) -RRB- cord-329357-ujh2nmh5 187 6 . . . cord-329357-ujh2nmh5 188 1 CC CC NNP cord-329357-ujh2nmh5 188 2 - - HYPH cord-329357-ujh2nmh5 188 3 BY BY NNP cord-329357-ujh2nmh5 188 4 - - HYPH cord-329357-ujh2nmh5 188 5 NC NC NNP cord-329357-ujh2nmh5 188 6 - - HYPH cord-329357-ujh2nmh5 188 7 ND ND NNP cord-329357-ujh2nmh5 188 8 4.0 4.0 CD cord-329357-ujh2nmh5 188 9 International international JJ cord-329357-ujh2nmh5 188 10 license license NN cord-329357-ujh2nmh5 189 1 It -PRON- PRP cord-329357-ujh2nmh5 189 2 is be VBZ cord-329357-ujh2nmh5 189 3 made make VBN cord-329357-ujh2nmh5 189 4 available available JJ cord-329357-ujh2nmh5 189 5 under under IN cord-329357-ujh2nmh5 189 6 a a DT cord-329357-ujh2nmh5 190 1 is be VBZ cord-329357-ujh2nmh5 190 2 the the DT cord-329357-ujh2nmh5 190 3 author author NN cord-329357-ujh2nmh5 190 4 / / SYM cord-329357-ujh2nmh5 190 5 funder funder NN cord-329357-ujh2nmh5 190 6 , , , cord-329357-ujh2nmh5 190 7 who who WP cord-329357-ujh2nmh5 190 8 has have VBZ cord-329357-ujh2nmh5 190 9 granted grant VBN cord-329357-ujh2nmh5 190 10 medRxiv medRxiv NNS cord-329357-ujh2nmh5 190 11 a a DT cord-329357-ujh2nmh5 190 12 license license NN cord-329357-ujh2nmh5 190 13 to to TO cord-329357-ujh2nmh5 190 14 display display VB cord-329357-ujh2nmh5 190 15 the the DT cord-329357-ujh2nmh5 190 16 preprint preprint NN cord-329357-ujh2nmh5 190 17 in in IN cord-329357-ujh2nmh5 190 18 perpetuity perpetuity NN cord-329357-ujh2nmh5 190 19 . . . cord-329357-ujh2nmh5 191 1 ( ( -LRB- cord-329357-ujh2nmh5 191 2 which which WDT cord-329357-ujh2nmh5 191 3 was be VBD cord-329357-ujh2nmh5 191 4 not not RB cord-329357-ujh2nmh5 191 5 certified certify VBN cord-329357-ujh2nmh5 191 6 by by IN cord-329357-ujh2nmh5 191 7 peer peer NN cord-329357-ujh2nmh5 191 8 review review NN cord-329357-ujh2nmh5 191 9 ) ) -RRB- cord-329357-ujh2nmh5 192 1 The the DT cord-329357-ujh2nmh5 192 2 copyright copyright NN cord-329357-ujh2nmh5 192 3 holder holder NN cord-329357-ujh2nmh5 192 4 for for IN cord-329357-ujh2nmh5 192 5 this this DT cord-329357-ujh2nmh5 192 6 preprint preprint NN cord-329357-ujh2nmh5 192 7 this this DT cord-329357-ujh2nmh5 192 8 version version NN cord-329357-ujh2nmh5 192 9 posted post VBN cord-329357-ujh2nmh5 192 10 May May NNP cord-329357-ujh2nmh5 192 11 6 6 CD cord-329357-ujh2nmh5 192 12 , , , cord-329357-ujh2nmh5 192 13 2020 2020 CD cord-329357-ujh2nmh5 192 14 . . . cord-329357-ujh2nmh5 192 15 . . . cord-329357-ujh2nmh5 193 1 https://doi.org/10.1101/2020.05.02.20088492 https://doi.org/10.1101/2020.05.02.20088492 NNP cord-329357-ujh2nmh5 193 2 doi doi XX cord-329357-ujh2nmh5 193 3 : : : cord-329357-ujh2nmh5 194 1 medRxiv medRxiv NNS cord-329357-ujh2nmh5 194 2 preprint preprint NN cord-329357-ujh2nmh5 194 3 and and CC cord-329357-ujh2nmh5 194 4 therefore therefore RB cord-329357-ujh2nmh5 194 5 using use VBG cord-329357-ujh2nmh5 194 6 equations equation NNS cord-329357-ujh2nmh5 194 7 ( ( -LRB- cord-329357-ujh2nmh5 194 8 17 17 CD cord-329357-ujh2nmh5 194 9 ) ) -RRB- cord-329357-ujh2nmh5 194 10 and and CC cord-329357-ujh2nmh5 194 11 ( ( -LRB- cord-329357-ujh2nmh5 194 12 18 18 CD cord-329357-ujh2nmh5 194 13 ) ) -RRB- cord-329357-ujh2nmh5 195 1 , , , cord-329357-ujh2nmh5 195 2 α1 α1 NNP cord-329357-ujh2nmh5 195 3 = = NFP cord-329357-ujh2nmh5 196 1 ( ( -LRB- cord-329357-ujh2nmh5 196 2 χ2 χ2 NNP cord-329357-ujh2nmh5 196 3 + + CC cord-329357-ujh2nmh5 196 4 β β NN cord-329357-ujh2nmh5 196 5 + + CC cord-329357-ujh2nmh5 196 6 τ1 τ1 NN cord-329357-ujh2nmh5 196 7 ) ) -RRB- cord-329357-ujh2nmh5 196 8 ( ( -LRB- cord-329357-ujh2nmh5 196 9 f f NNP cord-329357-ujh2nmh5 196 10 β β NN cord-329357-ujh2nmh5 196 11 χ χ NN cord-329357-ujh2nmh5 196 12 2 2 CD cord-329357-ujh2nmh5 196 13 + + CC cord-329357-ujh2nmh5 196 14 τ τ NN cord-329357-ujh2nmh5 196 15 2 2 CD cord-329357-ujh2nmh5 196 16 + + SYM cord-329357-ujh2nmh5 196 17 γ γ NN cord-329357-ujh2nmh5 196 18 1 1 CD cord-329357-ujh2nmh5 197 1 + + CC cord-329357-ujh2nmh5 198 1 1)S0 1)s0 CD cord-329357-ujh2nmh5 199 1 ( ( -LRB- cord-329357-ujh2nmh5 199 2 21 21 CD cord-329357-ujh2nmh5 199 3 ) ) -RRB- cord-329357-ujh2nmh5 199 4 Step step NN cord-329357-ujh2nmh5 199 5 2 2 CD cord-329357-ujh2nmh5 200 1 We -PRON- PRP cord-329357-ujh2nmh5 200 2 hereby hereby RB cord-329357-ujh2nmh5 200 3 propose propose VBP cord-329357-ujh2nmh5 200 4 to to TO cord-329357-ujh2nmh5 200 5 estimate estimate VB cord-329357-ujh2nmh5 200 6 γ γ NN cord-329357-ujh2nmh5 200 7 and and CC cord-329357-ujh2nmh5 200 8 µ. µ. NN cord-329357-ujh2nmh5 201 1 We -PRON- PRP cord-329357-ujh2nmh5 201 2 notice notice VBP cord-329357-ujh2nmh5 201 3 that that IN cord-329357-ujh2nmh5 201 4 , , , cord-329357-ujh2nmh5 201 5 R(t R(t NNP cord-329357-ujh2nmh5 201 6 ) ) -RRB- cord-329357-ujh2nmh5 201 7 = = NFP cord-329357-ujh2nmh5 202 1 γ γ NN cord-329357-ujh2nmh5 202 2 µ µ NNP cord-329357-ujh2nmh5 202 3 D(t D(t NNP cord-329357-ujh2nmh5 202 4 ) ) -RRB- cord-329357-ujh2nmh5 202 5 , , , cord-329357-ujh2nmh5 202 6 for for IN cord-329357-ujh2nmh5 202 7 all all DT cord-329357-ujh2nmh5 202 8 t t NN cord-329357-ujh2nmh5 202 9 > > XX cord-329357-ujh2nmh5 202 10 0 0 NFP cord-329357-ujh2nmh5 202 11 . . . cord-329357-ujh2nmh5 203 1 Let let VB cord-329357-ujh2nmh5 203 2 ρ ρ NN cord-329357-ujh2nmh5 203 3 = = NN cord-329357-ujh2nmh5 203 4 µ µ NN cord-329357-ujh2nmh5 203 5 γ γ NN cord-329357-ujh2nmh5 203 6 , , , cord-329357-ujh2nmh5 203 7 ρ ρ NNP cord-329357-ujh2nmh5 203 8 is be VBZ cord-329357-ujh2nmh5 203 9 estimate estimate NN cord-329357-ujh2nmh5 203 10 using use VBG cord-329357-ujh2nmh5 203 11 dead dead JJ cord-329357-ujh2nmh5 203 12 and and CC cord-329357-ujh2nmh5 203 13 recoveries recovery NNS cord-329357-ujh2nmh5 203 14 data datum NNS cord-329357-ujh2nmh5 203 15 . . . cord-329357-ujh2nmh5 204 1 Let let VB cord-329357-ujh2nmh5 204 2 p p NN cord-329357-ujh2nmh5 204 3 the the DT cord-329357-ujh2nmh5 204 4 fraction fraction NN cord-329357-ujh2nmh5 204 5 of of IN cord-329357-ujh2nmh5 204 6 infectious infectious JJ cord-329357-ujh2nmh5 204 7 ( ( -LRB- cord-329357-ujh2nmh5 204 8 quarantined quarantine VBN cord-329357-ujh2nmh5 204 9 or or CC cord-329357-ujh2nmh5 204 10 not not RB cord-329357-ujh2nmh5 204 11 ) ) -RRB- cord-329357-ujh2nmh5 204 12 that that WDT cord-329357-ujh2nmh5 204 13 become become VBP cord-329357-ujh2nmh5 204 14 reported report VBN cord-329357-ujh2nmh5 204 15 dead dead JJ cord-329357-ujh2nmh5 205 1 ( ( -LRB- cord-329357-ujh2nmh5 205 2 i.e. i.e. FW cord-329357-ujh2nmh5 205 3 1 1 CD cord-329357-ujh2nmh5 205 4 − − NN cord-329357-ujh2nmh5 205 5 p p NN cord-329357-ujh2nmh5 205 6 become become VBP cord-329357-ujh2nmh5 205 7 reported report VBN cord-329357-ujh2nmh5 205 8 recovered recover VBN cord-329357-ujh2nmh5 205 9 ) ) -RRB- cord-329357-ujh2nmh5 205 10 . . . cord-329357-ujh2nmh5 206 1 Thus thus RB cord-329357-ujh2nmh5 206 2 ρ ρ NNP cord-329357-ujh2nmh5 206 3 = = SYM cord-329357-ujh2nmh5 206 4 pμ pμ NN cord-329357-ujh2nmh5 206 5 ( ( -LRB- cord-329357-ujh2nmh5 206 6 1−p)γ 1−p)γ CD cord-329357-ujh2nmh5 206 7 , , , cord-329357-ujh2nmh5 206 8 with with IN cord-329357-ujh2nmh5 206 9 1 1 CD cord-329357-ujh2nmh5 206 10 / / SYM cord-329357-ujh2nmh5 206 11 μ μ NN cord-329357-ujh2nmh5 206 12 the the DT cord-329357-ujh2nmh5 206 13 average average JJ cord-329357-ujh2nmh5 206 14 time time NN cord-329357-ujh2nmh5 206 15 to to IN cord-329357-ujh2nmh5 206 16 death death NN cord-329357-ujh2nmh5 206 17 and and CC cord-329357-ujh2nmh5 206 18 1 1 CD cord-329357-ujh2nmh5 206 19 / / SYM cord-329357-ujh2nmh5 206 20 γ γ NN cord-329357-ujh2nmh5 206 21 the the DT cord-329357-ujh2nmh5 206 22 average average JJ cord-329357-ujh2nmh5 206 23 time time NN cord-329357-ujh2nmh5 206 24 to to TO cord-329357-ujh2nmh5 206 25 recover recover VB cord-329357-ujh2nmh5 206 26 . . . cord-329357-ujh2nmh5 207 1 Therefore therefore RB cord-329357-ujh2nmh5 207 2 , , , cord-329357-ujh2nmh5 207 3 Step step NN cord-329357-ujh2nmh5 207 4 3 3 CD cord-329357-ujh2nmh5 207 5 Parameters parameter NNS cord-329357-ujh2nmh5 207 6 τ1 τ1 NNP cord-329357-ujh2nmh5 207 7 et et NNP cord-329357-ujh2nmh5 207 8 τ2 τ2 NNP cord-329357-ujh2nmh5 207 9 was be VBD cord-329357-ujh2nmh5 207 10 estimated estimate VBN cord-329357-ujh2nmh5 207 11 using use VBG cord-329357-ujh2nmh5 207 12 Metropolis Metropolis NNP cord-329357-ujh2nmh5 207 13 - - HYPH cord-329357-ujh2nmh5 207 14 Hastings Hastings NNP cord-329357-ujh2nmh5 207 15 ( ( -LRB- cord-329357-ujh2nmh5 207 16 MH MH NNP cord-329357-ujh2nmh5 207 17 ) ) -RRB- cord-329357-ujh2nmh5 207 18 algorithm algorithm NN cord-329357-ujh2nmh5 207 19 developed develop VBN cord-329357-ujh2nmh5 207 20 in in IN cord-329357-ujh2nmh5 207 21 the the DT cord-329357-ujh2nmh5 207 22 pymcmcst pymcmcst NNP cord-329357-ujh2nmh5 207 23 python python NNP cord-329357-ujh2nmh5 207 24 package package NNP cord-329357-ujh2nmh5 207 25 [ [ -LRB- cord-329357-ujh2nmh5 207 26 5 5 CD cord-329357-ujh2nmh5 207 27 ] ] -RRB- cord-329357-ujh2nmh5 207 28 _SP cord-329357-ujh2nmh5 207 29 Estimation Estimation NNP cord-329357-ujh2nmh5 207 30 of of IN cord-329357-ujh2nmh5 207 31 Tunisia Tunisia NNP cord-329357-ujh2nmh5 207 32 COVID-19 COVID-19 NNP cord-329357-ujh2nmh5 207 33 infected infected JJ cord-329357-ujh2nmh5 207 34 cases case NNS cord-329357-ujh2nmh5 207 35 based base VBN cord-329357-ujh2nmh5 207 36 on on IN cord-329357-ujh2nmh5 207 37 mortality mortality NN cord-329357-ujh2nmh5 207 38 rate rate NN cord-329357-ujh2nmh5 207 39 Infectious infectious JJ cord-329357-ujh2nmh5 207 40 Diseases disease NNS cord-329357-ujh2nmh5 207 41 of of IN cord-329357-ujh2nmh5 207 42 Humans Humans NNPS cord-329357-ujh2nmh5 207 43 : : : cord-329357-ujh2nmh5 207 44 Dynamics dynamic NNS cord-329357-ujh2nmh5 207 45 and and CC cord-329357-ujh2nmh5 207 46 Control Control NNP cord-329357-ujh2nmh5 208 1 On on IN cord-329357-ujh2nmh5 208 2 the the DT cord-329357-ujh2nmh5 208 3 definition definition NN cord-329357-ujh2nmh5 208 4 and and CC cord-329357-ujh2nmh5 208 5 the the DT cord-329357-ujh2nmh5 208 6 computation computation NN cord-329357-ujh2nmh5 208 7 of of IN cord-329357-ujh2nmh5 208 8 the the DT cord-329357-ujh2nmh5 208 9 basic basic JJ cord-329357-ujh2nmh5 208 10 reproduction reproduction NN cord-329357-ujh2nmh5 208 11 ratio ratio NN cord-329357-ujh2nmh5 208 12 R0 R0 NNP cord-329357-ujh2nmh5 208 13 in in IN cord-329357-ujh2nmh5 208 14 models model NNS cord-329357-ujh2nmh5 208 15 for for IN cord-329357-ujh2nmh5 208 16 infectious infectious JJ cord-329357-ujh2nmh5 208 17 diseases disease NNS cord-329357-ujh2nmh5 208 18 in in IN cord-329357-ujh2nmh5 208 19 heterogeneous heterogeneous JJ cord-329357-ujh2nmh5 208 20 populations population NNS cord-329357-ujh2nmh5 208 21 Understanding understand VBG cord-329357-ujh2nmh5 208 22 Unreported unreported JJ cord-329357-ujh2nmh5 208 23 Cases case NNS cord-329357-ujh2nmh5 208 24 in in IN cord-329357-ujh2nmh5 208 25 the the DT cord-329357-ujh2nmh5 208 26 COVID-19 COVID-19 NNP cord-329357-ujh2nmh5 208 27 Epidemic Epidemic NNP cord-329357-ujh2nmh5 208 28 Outbreak Outbreak NNP cord-329357-ujh2nmh5 208 29 in in IN cord-329357-ujh2nmh5 208 30 Wuhan Wuhan NNP cord-329357-ujh2nmh5 208 31 , , , cord-329357-ujh2nmh5 208 32 China China NNP cord-329357-ujh2nmh5 208 33 , , , cord-329357-ujh2nmh5 208 34 and and CC cord-329357-ujh2nmh5 208 35 the the DT cord-329357-ujh2nmh5 208 36 Importance Importance NNP cord-329357-ujh2nmh5 208 37 of of IN cord-329357-ujh2nmh5 208 38 Major Major NNP cord-329357-ujh2nmh5 208 39 Public Public NNP cord-329357-ujh2nmh5 208 40 Health Health NNP cord-329357-ujh2nmh5 208 41 Interventions Interventions NNPS cord-329357-ujh2nmh5 208 42 A A NNP cord-329357-ujh2nmh5 208 43 Python Python NNP cord-329357-ujh2nmh5 208 44 Package Package NNP cord-329357-ujh2nmh5 208 45 for for IN cord-329357-ujh2nmh5 208 46 Bayesian Bayesian NNP cord-329357-ujh2nmh5 208 47 Inference Inference NNP cord-329357-ujh2nmh5 208 48 Using use VBG cord-329357-ujh2nmh5 208 49 Delayed Delayed NNP cord-329357-ujh2nmh5 208 50 Rejection Rejection NNP cord-329357-ujh2nmh5 208 51 Adaptive adaptive JJ cord-329357-ujh2nmh5 208 52 Metropolis metropolis NN