id sid tid token lemma pos fbem-5586 1 1 frontiers frontier NOUN fbem-5586 1 2 in in ADP fbem-5586 1 3 business business NOUN fbem-5586 1 4 , , PUNCT fbem-5586 1 5 economics economic NOUN fbem-5586 1 6 and and CCONJ fbem-5586 1 7 management management NOUN fbem-5586 1 8 issn issn PROPN fbem-5586 1 9 : : PUNCT fbem-5586 1 10 2766 2766 NUM fbem-5586 1 11 - - PUNCT fbem-5586 1 12 824x 824x NUM fbem-5586 1 13 | | ADJ fbem-5586 1 14 vol vol NOUN fbem-5586 1 15 . . PUNCT fbem-5586 2 1 7 7 NUM fbem-5586 2 2 , , PUNCT fbem-5586 2 3 no no INTJ fbem-5586 2 4 . . NOUN fbem-5586 2 5 3 3 NUM fbem-5586 2 6 , , PUNCT fbem-5586 2 7 2023 2023 NUM fbem-5586 2 8 245 245 NUM fbem-5586 2 9 research research NOUN fbem-5586 2 10 on on ADP fbem-5586 2 11 risk risk NOUN fbem-5586 2 12 propagation propagation NOUN fbem-5586 2 13 in in ADP fbem-5586 2 14 complex complex ADJ fbem-5586 2 15 supply supply NOUN fbem-5586 2 16 chain chain NOUN fbem-5586 2 17 networks network NOUN fbem-5586 2 18 based base VERB fbem-5586 2 19 on on ADP fbem-5586 2 20 seir seir ADJ fbem-5586 2 21 model model NOUN fbem-5586 2 22 yang yang PROPN fbem-5586 2 23 liu liu PROPN fbem-5586 2 24 * * PROPN fbem-5586 2 25 , , PUNCT fbem-5586 2 26 jingxin jingxin PROPN fbem-5586 2 27 liang liang PROPN fbem-5586 2 28 school school PROPN fbem-5586 2 29 of of ADP fbem-5586 2 30 modern modern ADJ fbem-5586 2 31 posts post NOUN fbem-5586 2 32 , , PUNCT fbem-5586 2 33 chongqing chongqing PROPN fbem-5586 2 34 university university PROPN fbem-5586 2 35 of of ADP fbem-5586 2 36 posts post NOUN fbem-5586 2 37 and and CCONJ fbem-5586 2 38 telecommunications telecommunication NOUN fbem-5586 2 39 , , PUNCT fbem-5586 2 40 chongqing chongqe VERB fbem-5586 2 41 400065 400065 NUM fbem-5586 2 42 , , PUNCT fbem-5586 2 43 china china PROPN fbem-5586 2 44 * * PUNCT fbem-5586 2 45 corresponding correspond VERB fbem-5586 2 46 author author NOUN fbem-5586 2 47 : : PUNCT fbem-5586 2 48 liu liu PROPN fbem-5586 2 49 yang yang PROPN fbem-5586 2 50 ( ( PUNCT fbem-5586 2 51 email email NOUN fbem-5586 2 52 : : PUNCT fbem-5586 2 53 liuyang20814@163.com liuyang20814@163.com X fbem-5586 2 54 ) ) PUNCT fbem-5586 2 55 abstract abstract NOUN fbem-5586 2 56 : : PUNCT fbem-5586 2 57 the the DET fbem-5586 2 58 complexity complexity NOUN fbem-5586 2 59 of of ADP fbem-5586 2 60 supply supply NOUN fbem-5586 2 61 chain chain NOUN fbem-5586 2 62 network network NOUN fbem-5586 2 63 structure structure NOUN fbem-5586 2 64 makes make VERB fbem-5586 2 65 the the DET fbem-5586 2 66 risk risk NOUN fbem-5586 2 67 propagation propagation NOUN fbem-5586 2 68 among among ADP fbem-5586 2 69 the the DET fbem-5586 2 70 enterprises enterprise NOUN fbem-5586 2 71 in in ADP fbem-5586 2 72 the the DET fbem-5586 2 73 supply supply NOUN fbem-5586 2 74 chain chain NOUN fbem-5586 2 75 more more ADJ fbem-5586 2 76 and and CCONJ fbem-5586 2 77 more more ADV fbem-5586 2 78 complicated complicated ADJ fbem-5586 2 79 . . PUNCT fbem-5586 3 1 this this DET fbem-5586 3 2 paper paper NOUN fbem-5586 3 3 constructs construct VERB fbem-5586 3 4 a a DET fbem-5586 3 5 seir seir ADJ fbem-5586 3 6 risk risk NOUN fbem-5586 3 7 propagation propagation NOUN fbem-5586 3 8 model model NOUN fbem-5586 3 9 for for ADP fbem-5586 3 10 complex complex ADJ fbem-5586 3 11 supply supply NOUN fbem-5586 3 12 chain chain NOUN fbem-5586 3 13 networks network NOUN fbem-5586 3 14 based base VERB fbem-5586 3 15 on on ADP fbem-5586 3 16 the the DET fbem-5586 3 17 analytical analytical ADJ fbem-5586 3 18 idea idea NOUN fbem-5586 3 19 of of ADP fbem-5586 3 20 contagion contagion NOUN fbem-5586 3 21 model model NOUN fbem-5586 3 22 , , PUNCT fbem-5586 3 23 which which PRON fbem-5586 3 24 reveals reveal VERB fbem-5586 3 25 the the DET fbem-5586 3 26 risk risk NOUN fbem-5586 3 27 propagation propagation NOUN fbem-5586 3 28 mechanism mechanism NOUN fbem-5586 3 29 of of ADP fbem-5586 3 30 supply supply NOUN fbem-5586 3 31 chain chain NOUN fbem-5586 3 32 networks network NOUN fbem-5586 3 33 from from ADP fbem-5586 3 34 a a DET fbem-5586 3 35 macro macro ADJ fbem-5586 3 36 perspective perspective NOUN fbem-5586 3 37 . . PUNCT fbem-5586 4 1 the the DET fbem-5586 4 2 article article NOUN fbem-5586 4 3 verifies verify VERB fbem-5586 4 4 the the DET fbem-5586 4 5 existence existence NOUN fbem-5586 4 6 of of ADP fbem-5586 4 7 risk risk NOUN fbem-5586 4 8 propagation propagation NOUN fbem-5586 4 9 threshold threshold NOUN fbem-5586 4 10 and and CCONJ fbem-5586 4 11 the the DET fbem-5586 4 12 stability stability NOUN fbem-5586 4 13 of of ADP fbem-5586 4 14 different different ADJ fbem-5586 4 15 equilibrium equilibrium NOUN fbem-5586 4 16 points point NOUN fbem-5586 4 17 by by ADP fbem-5586 4 18 analyzing analyze VERB fbem-5586 4 19 the the DET fbem-5586 4 20 basic basic ADJ fbem-5586 4 21 regeneration regeneration NOUN fbem-5586 4 22 number number NOUN fbem-5586 4 23 , , PUNCT fbem-5586 4 24 equilibrium equilibrium NOUN fbem-5586 4 25 point point NOUN fbem-5586 4 26 and and CCONJ fbem-5586 4 27 stability stability NOUN fbem-5586 4 28 of of ADP fbem-5586 4 29 the the DET fbem-5586 4 30 model model NOUN fbem-5586 4 31 ; ; PUNCT fbem-5586 4 32 explores explore VERB fbem-5586 4 33 the the DET fbem-5586 4 34 effectiveness effectiveness NOUN fbem-5586 4 35 of of ADP fbem-5586 4 36 different different ADJ fbem-5586 4 37 parameters parameter NOUN fbem-5586 4 38 on on ADP fbem-5586 4 39 the the DET fbem-5586 4 40 basic basic ADJ fbem-5586 4 41 regeneration regeneration NOUN fbem-5586 4 42 number number NOUN fbem-5586 4 43 by by ADP fbem-5586 4 44 combining combine VERB fbem-5586 4 45 sensitivity sensitivity NOUN fbem-5586 4 46 analysis analysis NOUN fbem-5586 4 47 ; ; PUNCT fbem-5586 4 48 and and CCONJ fbem-5586 4 49 verifies verify VERB fbem-5586 4 50 them they PRON fbem-5586 4 51 by by ADP fbem-5586 4 52 using use VERB fbem-5586 4 53 matlab matlab PROPN fbem-5586 4 54 simulation simulation NOUN fbem-5586 4 55 software software PROPN fbem-5586 4 56 . . PUNCT fbem-5586 5 1 the the DET fbem-5586 5 2 results result NOUN fbem-5586 5 3 show show VERB fbem-5586 5 4 that that SCONJ fbem-5586 5 5 the the DET fbem-5586 5 6 basic basic ADJ fbem-5586 5 7 regeneration regeneration NOUN fbem-5586 5 8 number number NOUN fbem-5586 5 9 is be AUX fbem-5586 5 10 a a DET fbem-5586 5 11 key key ADJ fbem-5586 5 12 factor factor NOUN fbem-5586 5 13 affecting affect VERB fbem-5586 5 14 the the DET fbem-5586 5 15 risk risk NOUN fbem-5586 5 16 propagation propagation NOUN fbem-5586 5 17 , , PUNCT fbem-5586 5 18 and and CCONJ fbem-5586 5 19 the the DET fbem-5586 5 20 risk risk NOUN fbem-5586 5 21 diffusion diffusion NOUN fbem-5586 5 22 in in ADP fbem-5586 5 23 this this DET fbem-5586 5 24 system system NOUN fbem-5586 5 25 can can AUX fbem-5586 5 26 be be AUX fbem-5586 5 27 effectively effectively ADV fbem-5586 5 28 curbed curb VERB fbem-5586 5 29 by by ADP fbem-5586 5 30 controlling control VERB fbem-5586 5 31 the the DET fbem-5586 5 32 basic basic ADJ fbem-5586 5 33 regeneration regeneration NOUN fbem-5586 5 34 number number NOUN fbem-5586 5 35 . . PUNCT fbem-5586 6 1 keywords keyword NOUN fbem-5586 6 2 : : PUNCT fbem-5586 6 3 supply supply NOUN fbem-5586 6 4 chain chain NOUN fbem-5586 6 5 network network NOUN fbem-5586 6 6 , , PUNCT fbem-5586 6 7 risk risk NOUN fbem-5586 6 8 propagation propagation NOUN fbem-5586 6 9 , , PUNCT fbem-5586 6 10 seir seir ADJ fbem-5586 6 11 model model NOUN fbem-5586 6 12 , , PUNCT fbem-5586 6 13 fundamental fundamental ADJ fbem-5586 6 14 regeneration regeneration NOUN fbem-5586 6 15 number number NOUN fbem-5586 6 16 , , PUNCT fbem-5586 6 17 simulation simulation NOUN fbem-5586 6 18 . . PUNCT fbem-5586 7 1 1 1 NUM fbem-5586 7 2 . . X fbem-5586 7 3 introduction introduction NOUN fbem-5586 7 4 in in ADP fbem-5586 7 5 recent recent ADJ fbem-5586 7 6 years year NOUN fbem-5586 7 7 , , PUNCT fbem-5586 7 8 due due ADP fbem-5586 7 9 to to ADP fbem-5586 7 10 trade trade NOUN fbem-5586 7 11 protectionism protectionism NOUN fbem-5586 7 12 , , PUNCT fbem-5586 7 13 natural natural ADJ fbem-5586 7 14 disasters disaster NOUN fbem-5586 7 15 , , PUNCT fbem-5586 7 16 covid-19 covid-19 PROPN fbem-5586 7 17 , , PUNCT fbem-5586 7 18 regional regional ADJ fbem-5586 7 19 conflicts conflict NOUN fbem-5586 7 20 , , PUNCT fbem-5586 7 21 energy energy NOUN fbem-5586 7 22 crisis crisis NOUN fbem-5586 7 23 and and CCONJ fbem-5586 7 24 other other ADJ fbem-5586 7 25 factors factor NOUN fbem-5586 7 26 , , PUNCT fbem-5586 7 27 the the DET fbem-5586 7 28 global global ADJ fbem-5586 7 29 supply supply NOUN fbem-5586 7 30 chain chain NOUN fbem-5586 7 31 risk risk NOUN fbem-5586 7 32 events event NOUN fbem-5586 7 33 are be AUX fbem-5586 7 34 frequent frequent ADJ fbem-5586 7 35 , , PUNCT fbem-5586 7 36 leading lead VERB fbem-5586 7 37 to to ADP fbem-5586 7 38 an an DET fbem-5586 7 39 increasingly increasingly ADV fbem-5586 7 40 serious serious ADJ fbem-5586 7 41 problem problem NOUN fbem-5586 7 42 of of ADP fbem-5586 7 43 risk risk NOUN fbem-5586 7 44 transmission transmission NOUN fbem-5586 7 45 in in ADP fbem-5586 7 46 the the DET fbem-5586 7 47 supply supply NOUN fbem-5586 7 48 chain chain NOUN fbem-5586 7 49 . . PUNCT fbem-5586 8 1 in in ADP fbem-5586 8 2 the the DET fbem-5586 8 3 context context NOUN fbem-5586 8 4 of of ADP fbem-5586 8 5 economic economic ADJ fbem-5586 8 6 and and CCONJ fbem-5586 8 7 trade trade NOUN fbem-5586 8 8 globalization globalization NOUN fbem-5586 8 9 , , PUNCT fbem-5586 8 10 risk risk NOUN fbem-5586 8 11 factors factor NOUN fbem-5586 8 12 are be AUX fbem-5586 8 13 ubiquitous ubiquitous ADJ fbem-5586 8 14 . . PUNCT fbem-5586 9 1 especially especially ADV fbem-5586 9 2 in in ADP fbem-5586 9 3 the the DET fbem-5586 9 4 information information NOUN fbem-5586 9 5 age age NOUN fbem-5586 9 6 , , PUNCT fbem-5586 9 7 the the DET fbem-5586 9 8 interaction interaction NOUN fbem-5586 9 9 between between ADP fbem-5586 9 10 various various ADJ fbem-5586 9 11 actors actor NOUN fbem-5586 9 12 in in ADP fbem-5586 9 13 the the DET fbem-5586 9 14 supply supply NOUN fbem-5586 9 15 chain chain NOUN fbem-5586 9 16 becomes become VERB fbem-5586 9 17 increasingly increasingly ADV fbem-5586 9 18 close close ADJ fbem-5586 9 19 and and CCONJ fbem-5586 9 20 complex complex ADJ fbem-5586 9 21 , , PUNCT fbem-5586 9 22 which which PRON fbem-5586 9 23 makes make VERB fbem-5586 9 24 the the DET fbem-5586 9 25 supply supply NOUN fbem-5586 9 26 chain chain NOUN fbem-5586 9 27 system system NOUN fbem-5586 9 28 increasingly increasingly ADV fbem-5586 9 29 large large ADJ fbem-5586 9 30 . . PUNCT fbem-5586 10 1 the the DET fbem-5586 10 2 traditional traditional ADJ fbem-5586 10 3 chain chain NOUN fbem-5586 10 4 structure structure NOUN fbem-5586 10 5 of of ADP fbem-5586 10 6 the the DET fbem-5586 10 7 supply supply NOUN fbem-5586 10 8 chain chain NOUN fbem-5586 10 9 gradually gradually ADV fbem-5586 10 10 develops develop VERB fbem-5586 10 11 into into ADP fbem-5586 10 12 a a DET fbem-5586 10 13 complex complex ADJ fbem-5586 10 14 network network NOUN fbem-5586 10 15 structure structure NOUN fbem-5586 10 16 . . PUNCT fbem-5586 11 1 risk risk NOUN fbem-5586 11 2 events event NOUN fbem-5586 11 3 will will AUX fbem-5586 11 4 quickly quickly ADV fbem-5586 11 5 spread spread VERB fbem-5586 11 6 to to ADP fbem-5586 11 7 the the DET fbem-5586 11 8 whole whole ADJ fbem-5586 11 9 supply supply NOUN fbem-5586 11 10 chain chain NOUN fbem-5586 11 11 network network NOUN fbem-5586 11 12 through through ADP fbem-5586 11 13 various various ADJ fbem-5586 11 14 ways way NOUN fbem-5586 11 15 , , PUNCT fbem-5586 11 16 which which PRON fbem-5586 11 17 poses pose VERB fbem-5586 11 18 a a DET fbem-5586 11 19 serious serious ADJ fbem-5586 11 20 threat threat NOUN fbem-5586 11 21 to to ADP fbem-5586 11 22 the the DET fbem-5586 11 23 benign benign ADJ fbem-5586 11 24 development development NOUN fbem-5586 11 25 of of ADP fbem-5586 11 26 supply supply NOUN fbem-5586 11 27 chain chain NOUN fbem-5586 11 28 and and CCONJ fbem-5586 11 29 the the DET fbem-5586 11 30 smooth smooth ADJ fbem-5586 11 31 operation operation NOUN fbem-5586 11 32 of of ADP fbem-5586 11 33 economy economy NOUN fbem-5586 11 34 . . PUNCT fbem-5586 12 1 in in ADP fbem-5586 12 2 this this DET fbem-5586 12 3 context context NOUN fbem-5586 12 4 , , PUNCT fbem-5586 12 5 it it PRON fbem-5586 12 6 is be AUX fbem-5586 12 7 of of ADP fbem-5586 12 8 great great ADJ fbem-5586 12 9 theoretical theoretical ADJ fbem-5586 12 10 and and CCONJ fbem-5586 12 11 practical practical ADJ fbem-5586 12 12 significance significance NOUN fbem-5586 12 13 to to PART fbem-5586 12 14 study study VERB fbem-5586 12 15 the the DET fbem-5586 12 16 transmission transmission NOUN fbem-5586 12 17 mechanism mechanism NOUN fbem-5586 12 18 of of ADP fbem-5586 12 19 risk risk NOUN fbem-5586 12 20 in in ADP fbem-5586 12 21 the the DET fbem-5586 12 22 supply supply NOUN fbem-5586 12 23 chain chain NOUN fbem-5586 12 24 network network NOUN fbem-5586 12 25 , , PUNCT fbem-5586 12 26 analyze analyze VERB fbem-5586 12 27 the the DET fbem-5586 12 28 key key ADJ fbem-5586 12 29 factors factor NOUN fbem-5586 12 30 of of ADP fbem-5586 12 31 risk risk NOUN fbem-5586 12 32 diffusion diffusion NOUN fbem-5586 12 33 , , PUNCT fbem-5586 12 34 and and CCONJ fbem-5586 12 35 seek seek VERB fbem-5586 12 36 effective effective ADJ fbem-5586 12 37 measures measure NOUN fbem-5586 12 38 to to PART fbem-5586 12 39 inhibit inhibit VERB fbem-5586 12 40 risk risk NOUN fbem-5586 12 41 transmission transmission NOUN fbem-5586 12 42 for for ADP fbem-5586 12 43 improving improve VERB fbem-5586 12 44 the the DET fbem-5586 12 45 security security NOUN fbem-5586 12 46 and and CCONJ fbem-5586 12 47 stability stability NOUN fbem-5586 12 48 of of ADP fbem-5586 12 49 the the DET fbem-5586 12 50 supply supply NOUN fbem-5586 12 51 chain chain NOUN fbem-5586 12 52 and and CCONJ fbem-5586 12 53 promoting promote VERB fbem-5586 12 54 the the DET fbem-5586 12 55 healthy healthy ADJ fbem-5586 12 56 development development NOUN fbem-5586 12 57 of of ADP fbem-5586 12 58 the the DET fbem-5586 12 59 supply supply NOUN fbem-5586 12 60 chain chain NOUN fbem-5586 12 61 architecture architecture NOUN fbem-5586 12 62 . . PUNCT fbem-5586 13 1 linfr linfr NOUN fbem-5586 13 2 et et PROPN fbem-5586 13 3 al al PROPN fbem-5586 13 4 . . PUNCT fbem-5586 14 1 ( ( PUNCT fbem-5586 14 2 1998 1998 NUM fbem-5586 14 3 ) ) PUNCT fbem-5586 15 1 [ [ X fbem-5586 15 2 1 1 X fbem-5586 15 3 ] ] PUNCT fbem-5586 15 4 first first ADV fbem-5586 15 5 introduced introduce VERB fbem-5586 15 6 network network NOUN fbem-5586 15 7 science science NOUN fbem-5586 15 8 into into ADP fbem-5586 15 9 the the DET fbem-5586 15 10 field field NOUN fbem-5586 15 11 of of ADP fbem-5586 15 12 supply supply NOUN fbem-5586 15 13 chain chain NOUN fbem-5586 15 14 . . PUNCT fbem-5586 16 1 they they PRON fbem-5586 16 2 believed believe VERB fbem-5586 16 3 that that SCONJ fbem-5586 16 4 the the DET fbem-5586 16 5 supply supply NOUN fbem-5586 16 6 chain chain NOUN fbem-5586 16 7 network network NOUN fbem-5586 16 8 was be AUX fbem-5586 16 9 a a DET fbem-5586 16 10 complex complex ADJ fbem-5586 16 11 " " PUNCT fbem-5586 16 12 supply supply NOUN fbem-5586 16 13 - - PUNCT fbem-5586 16 14 production production NOUN fbem-5586 16 15 - - PUNCT fbem-5586 16 16 marketing marketing NOUN fbem-5586 16 17 " " PUNCT fbem-5586 16 18 network network NOUN fbem-5586 16 19 composed compose VERB fbem-5586 16 20 of of ADP fbem-5586 16 21 suppliers supplier NOUN fbem-5586 16 22 , , PUNCT fbem-5586 16 23 manufacturers manufacturer NOUN fbem-5586 16 24 and and CCONJ fbem-5586 16 25 distributors distributor NOUN fbem-5586 16 26 , , PUNCT fbem-5586 16 27 which which PRON fbem-5586 16 28 depended depend VERB fbem-5586 16 29 on on ADP fbem-5586 16 30 each each DET fbem-5586 16 31 other other ADJ fbem-5586 16 32 in in ADP fbem-5586 16 33 terms term NOUN fbem-5586 16 34 of of ADP fbem-5586 16 35 strategy strategy NOUN fbem-5586 16 36 , , PUNCT fbem-5586 16 37 resources resource NOUN fbem-5586 16 38 , , PUNCT fbem-5586 16 39 capabilities capability NOUN fbem-5586 16 40 and and CCONJ fbem-5586 16 41 business business NOUN fbem-5586 16 42 . . PUNCT fbem-5586 17 1 choi choi PROPN fbem-5586 17 2 et et PROPN fbem-5586 17 3 al al PROPN fbem-5586 17 4 . . PROPN fbem-5586 18 1 ( ( PUNCT fbem-5586 18 2 2001 2001 NUM fbem-5586 18 3 ) ) PUNCT fbem-5586 19 1 [ [ X fbem-5586 19 2 2 2 NUM fbem-5586 19 3 ] ] PUNCT fbem-5586 19 4 studied study VERB fbem-5586 19 5 supply supply NOUN fbem-5586 19 6 chain chain NOUN fbem-5586 19 7 network network NOUN fbem-5586 19 8 from from ADP fbem-5586 19 9 the the DET fbem-5586 19 10 perspective perspective NOUN fbem-5586 19 11 of of ADP fbem-5586 19 12 complex complex ADJ fbem-5586 19 13 adaptive adaptive ADJ fbem-5586 19 14 system system NOUN fbem-5586 19 15 theory theory NOUN fbem-5586 19 16 ( ( PUNCT fbem-5586 19 17 cas cas PROPN fbem-5586 19 18 ) ) PUNCT fbem-5586 19 19 for for ADP fbem-5586 19 20 the the DET fbem-5586 19 21 first first ADJ fbem-5586 19 22 time time NOUN fbem-5586 19 23 , , PUNCT fbem-5586 19 24 and and CCONJ fbem-5586 19 25 created create VERB fbem-5586 19 26 a a DET fbem-5586 19 27 new new ADJ fbem-5586 19 28 perspective perspective NOUN fbem-5586 19 29 and and CCONJ fbem-5586 19 30 direction direction NOUN fbem-5586 19 31 for for ADP fbem-5586 19 32 the the DET fbem-5586 19 33 study study NOUN fbem-5586 19 34 of of ADP fbem-5586 19 35 complex complex ADJ fbem-5586 19 36 supply supply NOUN fbem-5586 19 37 chain chain NOUN fbem-5586 19 38 network network NOUN fbem-5586 19 39 . . PUNCT fbem-5586 20 1 thadakamalla thadakamalla PROPN fbem-5586 20 2 et et PROPN fbem-5586 20 3 al al PROPN fbem-5586 20 4 . . PROPN fbem-5586 21 1 ( ( PUNCT fbem-5586 21 2 2004 2004 NUM fbem-5586 21 3 ) ) PUNCT fbem-5586 22 1 [ [ X fbem-5586 22 2 3 3 NUM fbem-5586 22 3 ] ] PUNCT fbem-5586 22 4 first first ADV fbem-5586 22 5 proposed propose VERB fbem-5586 22 6 the the DET fbem-5586 22 7 structural structural ADJ fbem-5586 22 8 model model NOUN fbem-5586 22 9 of of ADP fbem-5586 22 10 supply supply NOUN fbem-5586 22 11 chain chain NOUN fbem-5586 22 12 network network NOUN fbem-5586 22 13 . . PUNCT fbem-5586 23 1 zhao zhao PROPN fbem-5586 23 2 et et PROPN fbem-5586 23 3 al al PROPN fbem-5586 23 4 . . PROPN fbem-5586 24 1 ( ( PUNCT fbem-5586 24 2 2011 2011 NUM fbem-5586 24 3 ) ) PUNCT fbem-5586 25 1 [ [ X fbem-5586 25 2 4 4 X fbem-5586 25 3 ] ] PUNCT fbem-5586 25 4 established establish VERB fbem-5586 25 5 a a DET fbem-5586 25 6 hybrid hybrid NOUN fbem-5586 25 7 and and CCONJ fbem-5586 25 8 tunable tunable NOUN fbem-5586 25 9 ( ( PUNCT fbem-5586 25 10 hybrid hybrid ADJ fbem-5586 25 11 adjustable adjustable ADJ fbem-5586 25 12 ) ) PUNCT fbem-5586 25 13 supply supply NOUN fbem-5586 25 14 chain chain NOUN fbem-5586 25 15 network network NOUN fbem-5586 25 16 growth growth NOUN fbem-5586 25 17 model model NOUN fbem-5586 25 18 . . PUNCT fbem-5586 26 1 chen chen PROPN fbem-5586 26 2 - - PUNCT fbem-5586 26 3 yang yang PROPN fbem-5586 26 4 et et PROPN fbem-5586 26 5 al al PROPN fbem-5586 26 6 . . PROPN fbem-5586 26 7 ( ( PUNCT fbem-5586 26 8 2014 2014 NUM fbem-5586 26 9 ) ) PUNCT fbem-5586 27 1 [ [ X fbem-5586 27 2 5 5 X fbem-5586 27 3 ] ] PUNCT fbem-5586 27 4 analyzed analyze VERB fbem-5586 27 5 the the DET fbem-5586 27 6 structural structural ADJ fbem-5586 27 7 complexity complexity NOUN fbem-5586 27 8 of of ADP fbem-5586 27 9 supply supply NOUN fbem-5586 27 10 chain chain NOUN fbem-5586 27 11 networks network NOUN fbem-5586 27 12 and and CCONJ fbem-5586 27 13 argued argue VERB fbem-5586 27 14 that that SCONJ fbem-5586 27 15 the the DET fbem-5586 27 16 uncertainty uncertainty NOUN fbem-5586 27 17 of of ADP fbem-5586 27 18 supply supply NOUN fbem-5586 27 19 chain chain NOUN fbem-5586 27 20 networks network NOUN fbem-5586 27 21 increases increase VERB fbem-5586 27 22 with with ADP fbem-5586 27 23 the the DET fbem-5586 27 24 increase increase NOUN fbem-5586 27 25 of of ADP fbem-5586 27 26 complexity complexity NOUN fbem-5586 27 27 . . PUNCT fbem-5586 28 1 some some DET fbem-5586 28 2 scholars scholar NOUN fbem-5586 28 3 have have AUX fbem-5586 28 4 noted note VERB fbem-5586 28 5 that that SCONJ fbem-5586 28 6 the the DET fbem-5586 28 7 diffusion diffusion NOUN fbem-5586 28 8 behavior behavior NOUN fbem-5586 28 9 of of ADP fbem-5586 28 10 infectious infectious ADJ fbem-5586 28 11 diseases disease NOUN fbem-5586 28 12 in in ADP fbem-5586 28 13 social social ADJ fbem-5586 28 14 networks network NOUN fbem-5586 28 15 is be AUX fbem-5586 28 16 very very ADV fbem-5586 28 17 similar similar ADJ fbem-5586 28 18 to to ADP fbem-5586 28 19 that that PRON fbem-5586 28 20 of of ADP fbem-5586 28 21 risks risk NOUN fbem-5586 28 22 in in ADP fbem-5586 28 23 supply supply NOUN fbem-5586 28 24 chain chain NOUN fbem-5586 28 25 networks network NOUN fbem-5586 28 26 in in ADP fbem-5586 28 27 system system NOUN fbem-5586 28 28 dynamics dynamic NOUN fbem-5586 28 29 . . PUNCT fbem-5586 29 1 they they PRON fbem-5586 29 2 have have AUX fbem-5586 29 3 studied study VERB fbem-5586 29 4 the the DET fbem-5586 29 5 risk risk NOUN fbem-5586 29 6 transmission transmission NOUN fbem-5586 29 7 behavior behavior NOUN fbem-5586 29 8 in in ADP fbem-5586 29 9 supply supply NOUN fbem-5586 29 10 chain chain NOUN fbem-5586 29 11 networks network NOUN fbem-5586 29 12 by by ADP fbem-5586 29 13 combining combine VERB fbem-5586 29 14 the the DET fbem-5586 29 15 infectious infectious ADJ fbem-5586 29 16 disease disease NOUN fbem-5586 29 17 model model NOUN fbem-5586 29 18 with with ADP fbem-5586 29 19 complex complex ADJ fbem-5586 29 20 network network NOUN fbem-5586 29 21 and and CCONJ fbem-5586 29 22 dynamic dynamic ADJ fbem-5586 29 23 characteristics characteristic NOUN fbem-5586 29 24 theories theory NOUN fbem-5586 29 25 . . PUNCT fbem-5586 30 1 for for ADP fbem-5586 30 2 example example NOUN fbem-5586 30 3 , , PUNCT fbem-5586 30 4 mcfarland mcfarland PROPN fbem-5586 30 5 et et PROPN fbem-5586 30 6 al al PROPN fbem-5586 30 7 . . PROPN fbem-5586 31 1 ( ( PUNCT fbem-5586 31 2 2008 2008 NUM fbem-5586 31 3 ) ) PUNCT fbem-5586 32 1 [ [ X fbem-5586 32 2 6 6 NUM fbem-5586 32 3 ] ] PUNCT fbem-5586 32 4 verified verify VERB fbem-5586 32 5 for for ADP fbem-5586 32 6 the the DET fbem-5586 32 7 first first ADJ fbem-5586 32 8 time time NOUN fbem-5586 32 9 that that SCONJ fbem-5586 32 10 the the DET fbem-5586 32 11 phenomenon phenomenon NOUN fbem-5586 32 12 of of ADP fbem-5586 32 13 " " PUNCT fbem-5586 32 14 contagion contagion NOUN fbem-5586 32 15 " " PUNCT fbem-5586 32 16 also also ADV fbem-5586 32 17 exists exist VERB fbem-5586 32 18 in in ADP fbem-5586 32 19 the the DET fbem-5586 32 20 supply supply NOUN fbem-5586 32 21 chain chain NOUN fbem-5586 32 22 . . PUNCT fbem-5586 33 1 he he PRON fbem-5586 33 2 believed believe VERB fbem-5586 33 3 that that SCONJ fbem-5586 33 4 the the DET fbem-5586 33 5 contagion contagion NOUN fbem-5586 33 6 behavior behavior NOUN fbem-5586 33 7 between between ADP fbem-5586 33 8 enterprises enterprise NOUN fbem-5586 33 9 in in ADP fbem-5586 33 10 the the DET fbem-5586 33 11 supply supply NOUN fbem-5586 33 12 chain chain NOUN fbem-5586 33 13 is be AUX fbem-5586 33 14 a a DET fbem-5586 33 15 process process NOUN fbem-5586 33 16 of of ADP fbem-5586 33 17 transmission transmission NOUN fbem-5586 33 18 from from ADP fbem-5586 33 19 a a DET fbem-5586 33 20 bilateral bilateral ADJ fbem-5586 33 21 node node NOUN fbem-5586 33 22 to to ADP fbem-5586 33 23 adjacent adjacent ADJ fbem-5586 33 24 bilateral bilateral ADJ fbem-5586 33 25 nodes node NOUN fbem-5586 33 26 , , PUNCT fbem-5586 33 27 and and CCONJ fbem-5586 33 28 adjacent adjacent ADJ fbem-5586 33 29 nodes node NOUN fbem-5586 33 30 have have VERB fbem-5586 33 31 imitability imitability NOUN fbem-5586 33 32 and and CCONJ fbem-5586 33 33 infectivity infectivity NOUN fbem-5586 33 34 . . PUNCT fbem-5586 34 1 cheng cheng PROPN fbem-5586 34 2 ( ( PUNCT fbem-5586 34 3 2008 2008 NUM fbem-5586 34 4 ) ) PUNCT fbem-5586 35 1 [ [ X fbem-5586 35 2 7 7 X fbem-5586 35 3 ] ] PUNCT fbem-5586 35 4 et et PROPN fbem-5586 35 5 al al PROPN fbem-5586 35 6 . . PROPN fbem-5586 35 7 studied study VERB fbem-5586 35 8 the the DET fbem-5586 35 9 evolution evolution NOUN fbem-5586 35 10 process process NOUN fbem-5586 35 11 and and CCONJ fbem-5586 35 12 complexity complexity NOUN fbem-5586 35 13 of of ADP fbem-5586 35 14 risks risk NOUN fbem-5586 35 15 in in ADP fbem-5586 35 16 supply supply NOUN fbem-5586 35 17 chain chain NOUN fbem-5586 35 18 network network NOUN fbem-5586 35 19 . . PUNCT fbem-5586 36 1 he he PRON fbem-5586 36 2 believed believe VERB fbem-5586 36 3 that that SCONJ fbem-5586 36 4 the the DET fbem-5586 36 5 transmission transmission NOUN fbem-5586 36 6 of of ADP fbem-5586 36 7 risks risk NOUN fbem-5586 36 8 in in ADP fbem-5586 36 9 supply supply NOUN fbem-5586 36 10 chain chain NOUN fbem-5586 36 11 network network NOUN fbem-5586 36 12 is be AUX fbem-5586 36 13 mainly mainly ADV fbem-5586 36 14 composed compose VERB fbem-5586 36 15 of of ADP fbem-5586 36 16 four four NUM fbem-5586 36 17 elements element NOUN fbem-5586 36 18 : : PUNCT fbem-5586 36 19 preconditions precondition NOUN fbem-5586 36 20 , , PUNCT fbem-5586 36 21 risk risk NOUN fbem-5586 36 22 events event NOUN fbem-5586 36 23 , , PUNCT fbem-5586 36 24 propagation propagation NOUN fbem-5586 36 25 path path NOUN fbem-5586 36 26 and and CCONJ fbem-5586 36 27 influence influence NOUN fbem-5586 36 28 . . PUNCT fbem-5586 37 1 qiu qiu PROPN fbem-5586 37 2 yinggui yinggui PROPN fbem-5586 38 1 [ [ X fbem-5586 38 2 8 8 NUM fbem-5586 38 3 ] ] PUNCT fbem-5586 38 4 simulated simulate VERB fbem-5586 38 5 the the DET fbem-5586 38 6 risks risk NOUN fbem-5586 38 7 of of ADP fbem-5586 38 8 supply supply NOUN fbem-5586 38 9 chain chain NOUN fbem-5586 38 10 network network NOUN fbem-5586 38 11 with with ADP fbem-5586 38 12 petri petri ADJ fbem-5586 38 13 nets net NOUN fbem-5586 38 14 and and CCONJ fbem-5586 38 15 studied study VERB fbem-5586 38 16 the the DET fbem-5586 38 17 problems problem NOUN fbem-5586 38 18 of of ADP fbem-5586 38 19 risk risk NOUN fbem-5586 38 20 control control NOUN fbem-5586 38 21 , , PUNCT fbem-5586 38 22 risk risk NOUN fbem-5586 38 23 assessment assessment NOUN fbem-5586 38 24 and and CCONJ fbem-5586 38 25 structure structure NOUN fbem-5586 38 26 optimization optimization NOUN fbem-5586 38 27 . . PUNCT fbem-5586 39 1 yang yang PROPN fbem-5586 39 2 kang kang PROPN fbem-5586 39 3 et et PROPN fbem-5586 39 4 al al PROPN fbem-5586 39 5 . . PROPN fbem-5586 40 1 ( ( PUNCT fbem-5586 40 2 2013 2013 NUM fbem-5586 40 3 ) ) PUNCT fbem-5586 41 1 [ [ X fbem-5586 41 2 9 9 NUM fbem-5586 41 3 ] ] PUNCT fbem-5586 41 4 applied apply VERB fbem-5586 41 5 the the DET fbem-5586 41 6 transmission transmission NOUN fbem-5586 41 7 dynamics dynamic NOUN fbem-5586 41 8 theory theory NOUN fbem-5586 41 9 of of ADP fbem-5586 41 10 complex complex ADJ fbem-5586 41 11 networks network NOUN fbem-5586 41 12 to to ADP fbem-5586 41 13 the the DET fbem-5586 41 14 study study NOUN fbem-5586 41 15 of of ADP fbem-5586 41 16 supply supply NOUN fbem-5586 41 17 chain chain NOUN fbem-5586 41 18 risk risk NOUN fbem-5586 41 19 transmission transmission NOUN fbem-5586 41 20 for for ADP fbem-5586 41 21 the the DET fbem-5586 41 22 first first ADJ fbem-5586 41 23 time time NOUN fbem-5586 41 24 . . PUNCT fbem-5586 42 1 based base VERB fbem-5586 42 2 on on ADP fbem-5586 42 3 the the DET fbem-5586 42 4 sis sis NOUN fbem-5586 42 5 model model NOUN fbem-5586 42 6 of of ADP fbem-5586 42 7 infectious infectious ADJ fbem-5586 42 8 diseases disease NOUN fbem-5586 42 9 , , PUNCT fbem-5586 42 10 the the DET fbem-5586 42 11 risk risk NOUN fbem-5586 42 12 transmission transmission NOUN fbem-5586 42 13 model model NOUN fbem-5586 42 14 of of ADP fbem-5586 42 15 supply supply NOUN fbem-5586 42 16 chain chain NOUN fbem-5586 42 17 network network NOUN fbem-5586 42 18 was be AUX fbem-5586 42 19 established establish VERB fbem-5586 42 20 , , PUNCT fbem-5586 42 21 and and CCONJ fbem-5586 42 22 the the DET fbem-5586 42 23 risk risk NOUN fbem-5586 42 24 elements element NOUN fbem-5586 42 25 of of ADP fbem-5586 42 26 supply supply NOUN fbem-5586 42 27 chain chain NOUN fbem-5586 42 28 network network NOUN fbem-5586 42 29 were be AUX fbem-5586 42 30 analyzed analyze VERB fbem-5586 42 31 . . PUNCT fbem-5586 43 1 zhao zhao PROPN fbem-5586 43 2 gang gang PROPN fbem-5586 43 3 et et PROPN fbem-5586 43 4 al al PROPN fbem-5586 43 5 . . PROPN fbem-5586 44 1 ( ( PUNCT fbem-5586 44 2 2015 2015 NUM fbem-5586 44 3 ) ) PUNCT fbem-5586 45 1 [ [ X fbem-5586 45 2 10 10 NUM fbem-5586 45 3 ] ] PUNCT fbem-5586 45 4 studied study VERB fbem-5586 45 5 the the DET fbem-5586 45 6 change change NOUN fbem-5586 45 7 of of ADP fbem-5586 45 8 risk risk NOUN fbem-5586 45 9 diffusion diffusion NOUN fbem-5586 45 10 characteristics characteristic NOUN fbem-5586 45 11 under under ADP fbem-5586 45 12 the the DET fbem-5586 45 13 evolution evolution NOUN fbem-5586 45 14 of of ADP fbem-5586 45 15 supply supply NOUN fbem-5586 45 16 chain chain NOUN fbem-5586 45 17 network network NOUN fbem-5586 45 18 structure structure NOUN fbem-5586 45 19 by by ADP fbem-5586 45 20 considering consider VERB fbem-5586 45 21 the the DET fbem-5586 45 22 probability probability NOUN fbem-5586 45 23 of of ADP fbem-5586 45 24 risk risk NOUN fbem-5586 45 25 transmission transmission NOUN fbem-5586 45 26 among among ADP fbem-5586 45 27 supply supply NOUN fbem-5586 45 28 chain chain NOUN fbem-5586 45 29 network network NOUN fbem-5586 45 30 agents agent NOUN fbem-5586 45 31 and and CCONJ fbem-5586 45 32 setting set VERB fbem-5586 45 33 the the DET fbem-5586 45 34 threshold threshold NOUN fbem-5586 45 35 of of ADP fbem-5586 45 36 subject subject ADJ fbem-5586 45 37 infection infection NOUN fbem-5586 45 38 risk risk NOUN fbem-5586 45 39 . . PUNCT fbem-5586 46 1 yi yi PROPN fbem-5586 46 2 huini huini PROPN fbem-5586 46 3 ( ( PUNCT fbem-5586 46 4 2015 2015 NUM fbem-5586 46 5 ) ) PUNCT fbem-5586 47 1 [ [ X fbem-5586 47 2 11 11 NUM fbem-5586 47 3 ] ] PUNCT fbem-5586 47 4 applied apply VERB fbem-5586 47 5 the the DET fbem-5586 47 6 sir sir NOUN fbem-5586 47 7 model model NOUN fbem-5586 47 8 to to ADP fbem-5586 47 9 the the DET fbem-5586 47 10 study study NOUN fbem-5586 47 11 on on ADP fbem-5586 47 12 the the DET fbem-5586 47 13 risk risk NOUN fbem-5586 47 14 transmission transmission NOUN fbem-5586 47 15 and and CCONJ fbem-5586 47 16 control control NOUN fbem-5586 47 17 of of ADP fbem-5586 47 18 the the DET fbem-5586 47 19 automobile automobile NOUN fbem-5586 47 20 supply supply NOUN fbem-5586 47 21 chain chain NOUN fbem-5586 47 22 . . PUNCT fbem-5586 48 1 she she PRON fbem-5586 48 2 believed believe VERB fbem-5586 48 3 that that SCONJ fbem-5586 48 4 the the DET fbem-5586 48 5 risk risk NOUN fbem-5586 48 6 transmission transmission NOUN fbem-5586 48 7 mechanism mechanism NOUN fbem-5586 48 8 of of ADP fbem-5586 48 9 the the DET fbem-5586 48 10 automobile automobile NOUN fbem-5586 48 11 supply supply NOUN fbem-5586 48 12 chain chain NOUN fbem-5586 48 13 was be AUX fbem-5586 48 14 similar similar ADJ fbem-5586 48 15 to to ADP fbem-5586 48 16 that that PRON fbem-5586 48 17 of of ADP fbem-5586 48 18 infectious infectious ADJ fbem-5586 48 19 diseases disease NOUN fbem-5586 48 20 , , PUNCT fbem-5586 48 21 and and CCONJ fbem-5586 48 22 the the DET fbem-5586 48 23 transmission transmission NOUN fbem-5586 48 24 process process NOUN fbem-5586 48 25 was be AUX fbem-5586 48 26 mainly mainly ADV fbem-5586 48 27 influenced influence VERB fbem-5586 48 28 by by ADP fbem-5586 48 29 infectious infectious ADJ fbem-5586 48 30 rate rate NOUN fbem-5586 48 31 , , PUNCT fbem-5586 48 32 node node NOUN fbem-5586 48 33 degree degree NOUN fbem-5586 48 34 and and CCONJ fbem-5586 48 35 recovery recovery NOUN fbem-5586 48 36 rate rate NOUN fbem-5586 48 37 . . PUNCT fbem-5586 49 1 ganyi ganyi NOUN fbem-5586 49 2 ( ( PUNCT fbem-5586 49 3 2019 2019 NUM fbem-5586 49 4 ) ) PUNCT fbem-5586 50 1 [ [ X fbem-5586 50 2 12 12 NUM fbem-5586 50 3 ] ] PUNCT fbem-5586 50 4 combined combine VERB fbem-5586 50 5 the the DET fbem-5586 50 6 complex complex ADJ fbem-5586 50 7 network network NOUN fbem-5586 50 8 theory theory NOUN fbem-5586 50 9 with with ADP fbem-5586 50 10 the the DET fbem-5586 50 11 characteristics characteristic NOUN fbem-5586 50 12 of of ADP fbem-5586 50 13 supply supply NOUN fbem-5586 50 14 chain chain NOUN fbem-5586 50 15 risk risk NOUN fbem-5586 50 16 transmission transmission NOUN fbem-5586 50 17 in in ADP fbem-5586 50 18 the the DET fbem-5586 50 19 automobile automobile NOUN fbem-5586 50 20 manufacturing manufacturing NOUN fbem-5586 50 21 industry industry NOUN fbem-5586 50 22 , , PUNCT fbem-5586 50 23 conducted conduct VERB fbem-5586 50 24 an an DET fbem-5586 50 25 in in ADP fbem-5586 50 26 - - PUNCT fbem-5586 50 27 depth depth NOUN fbem-5586 50 28 study study NOUN fbem-5586 50 29 on on ADP fbem-5586 50 30 the the DET fbem-5586 50 31 infection infection NOUN fbem-5586 50 32 rate rate NOUN fbem-5586 50 33 and and CCONJ fbem-5586 50 34 recovery recovery NOUN fbem-5586 50 35 rate rate NOUN fbem-5586 50 36 based base VERB fbem-5586 50 37 on on ADP fbem-5586 50 38 the the DET fbem-5586 50 39 sir sir NOUN fbem-5586 50 40 model model NOUN fbem-5586 50 41 , , PUNCT fbem-5586 50 42 and and CCONJ fbem-5586 50 43 considered consider VERB fbem-5586 50 44 several several ADJ fbem-5586 50 45 risk risk NOUN fbem-5586 50 46 immunity immunity NOUN fbem-5586 50 47 strategies strategy NOUN fbem-5586 50 48 . . PUNCT fbem-5586 51 1 based base VERB fbem-5586 51 2 on on ADP fbem-5586 51 3 the the DET fbem-5586 51 4 average average ADJ fbem-5586 51 5 field field NOUN fbem-5586 51 6 theory theory NOUN fbem-5586 51 7 , , PUNCT fbem-5586 51 8 246 246 NUM fbem-5586 51 9 huo huo NOUN fbem-5586 51 10 la la PROPN fbem-5586 51 11 et et PROPN fbem-5586 51 12 al al PROPN fbem-5586 51 13 . . PUNCT fbem-5586 52 1 [ [ X fbem-5586 52 2 13 13 NUM fbem-5586 52 3 ] ] SYM fbem-5586 52 4 ( ( PUNCT fbem-5586 52 5 2019 2019 NUM fbem-5586 52 6 ) ) PUNCT fbem-5586 52 7 conduct conduct VERB fbem-5586 52 8 numerical numerical PROPN fbem-5586 52 9 simulation simulation PROPN fbem-5586 52 10 through through ADP fbem-5586 52 11 the the DET fbem-5586 52 12 sir sir NOUN fbem-5586 52 13 model model NOUN fbem-5586 52 14 to to PART fbem-5586 52 15 analyze analyze VERB fbem-5586 52 16 the the DET fbem-5586 52 17 influence influence NOUN fbem-5586 52 18 of of ADP fbem-5586 52 19 herd herd NOUN fbem-5586 52 20 psychology psychology NOUN fbem-5586 52 21 and and CCONJ fbem-5586 52 22 risk risk NOUN fbem-5586 52 23 preference preference NOUN fbem-5586 52 24 on on ADP fbem-5586 52 25 risk risk NOUN fbem-5586 52 26 transmission transmission NOUN fbem-5586 52 27 in in ADP fbem-5586 52 28 the the DET fbem-5586 52 29 supply supply NOUN fbem-5586 52 30 chain chain NOUN fbem-5586 52 31 network network NOUN fbem-5586 52 32 . . PUNCT fbem-5586 53 1 zhao zhao PROPN fbem-5586 53 2 meng meng PROPN fbem-5586 53 3 ( ( PUNCT fbem-5586 53 4 2020 2020 NUM fbem-5586 53 5 ) ) PUNCT fbem-5586 54 1 [ [ X fbem-5586 54 2 14 14 NUM fbem-5586 54 3 ] ] PUNCT fbem-5586 54 4 established establish VERB fbem-5586 54 5 a a DET fbem-5586 54 6 bsr bsr NOUN fbem-5586 54 7 - - PUNCT fbem-5586 54 8 rp rp NOUN fbem-5586 54 9 model model NOUN fbem-5586 54 10 reflecting reflect VERB fbem-5586 54 11 the the DET fbem-5586 54 12 characteristics characteristic NOUN fbem-5586 54 13 of of ADP fbem-5586 54 14 enterprise enterprise NOUN fbem-5586 54 15 supply supply NOUN fbem-5586 54 16 chain chain NOUN fbem-5586 54 17 risk risk NOUN fbem-5586 54 18 communication communication NOUN fbem-5586 54 19 , , PUNCT fbem-5586 54 20 conducted conduct VERB fbem-5586 54 21 simulation simulation NOUN fbem-5586 54 22 analysis analysis NOUN fbem-5586 54 23 on on ADP fbem-5586 54 24 various various ADJ fbem-5586 54 25 influencing influence VERB fbem-5586 54 26 factors factor NOUN fbem-5586 54 27 of of ADP fbem-5586 54 28 risk risk NOUN fbem-5586 54 29 communication communication NOUN fbem-5586 54 30 from from ADP fbem-5586 54 31 the the DET fbem-5586 54 32 perspective perspective NOUN fbem-5586 54 33 of of ADP fbem-5586 54 34 the the DET fbem-5586 54 35 whole whole ADJ fbem-5586 54 36 supply supply NOUN fbem-5586 54 37 chain chain NOUN fbem-5586 54 38 , , PUNCT fbem-5586 54 39 and and CCONJ fbem-5586 54 40 the the DET fbem-5586 54 41 results result NOUN fbem-5586 54 42 showed show VERB fbem-5586 54 43 that that SCONJ fbem-5586 54 44 the the DET fbem-5586 54 45 degree degree NOUN fbem-5586 54 46 of of ADP fbem-5586 54 47 risk risk NOUN fbem-5586 54 48 communication communication NOUN fbem-5586 54 49 was be AUX fbem-5586 54 50 closely closely ADV fbem-5586 54 51 related relate VERB fbem-5586 54 52 to to ADP fbem-5586 54 53 the the DET fbem-5586 54 54 enterprise enterprise NOUN fbem-5586 54 55 's 's PART fbem-5586 54 56 own own ADJ fbem-5586 54 57 ability ability NOUN fbem-5586 54 58 . . PUNCT fbem-5586 55 1 because because SCONJ fbem-5586 55 2 the the DET fbem-5586 55 3 transmission transmission NOUN fbem-5586 55 4 behavior behavior NOUN fbem-5586 55 5 of of ADP fbem-5586 55 6 risk risk NOUN fbem-5586 55 7 in in ADP fbem-5586 55 8 a a DET fbem-5586 55 9 complex complex ADJ fbem-5586 55 10 supply supply NOUN fbem-5586 55 11 chain chain NOUN fbem-5586 55 12 network network NOUN fbem-5586 55 13 is be AUX fbem-5586 55 14 very very ADV fbem-5586 55 15 similar similar ADJ fbem-5586 55 16 to to ADP fbem-5586 55 17 the the DET fbem-5586 55 18 transmission transmission NOUN fbem-5586 55 19 behavior behavior NOUN fbem-5586 55 20 of of ADP fbem-5586 55 21 infectious infectious ADJ fbem-5586 55 22 disease disease NOUN fbem-5586 55 23 in in ADP fbem-5586 55 24 the the DET fbem-5586 55 25 population population NOUN fbem-5586 55 26 , , PUNCT fbem-5586 55 27 the the DET fbem-5586 55 28 similarity similarity NOUN fbem-5586 55 29 of of ADP fbem-5586 55 30 this this DET fbem-5586 55 31 transmission transmission NOUN fbem-5586 55 32 behavior behavior NOUN fbem-5586 55 33 makes make VERB fbem-5586 55 34 the the DET fbem-5586 55 35 infectious infectious ADJ fbem-5586 55 36 disease disease NOUN fbem-5586 55 37 model model NOUN fbem-5586 55 38 have have VERB fbem-5586 55 39 strong strong ADJ fbem-5586 55 40 applicability applicability NOUN fbem-5586 55 41 in in ADP fbem-5586 55 42 the the DET fbem-5586 55 43 risk risk NOUN fbem-5586 55 44 transmission transmission NOUN fbem-5586 55 45 model model NOUN fbem-5586 55 46 of of ADP fbem-5586 55 47 supply supply NOUN fbem-5586 55 48 chain chain NOUN fbem-5586 55 49 network network NOUN fbem-5586 55 50 , , PUNCT fbem-5586 55 51 and and CCONJ fbem-5586 55 52 some some DET fbem-5586 55 53 scholars scholar NOUN fbem-5586 55 54 have have AUX fbem-5586 55 55 carried carry VERB fbem-5586 55 56 out out ADP fbem-5586 55 57 research research NOUN fbem-5586 55 58 on on ADP fbem-5586 55 59 this this PRON fbem-5586 55 60 . . PUNCT fbem-5586 56 1 yang yang PROPN fbem-5586 56 2 kang kang PROPN fbem-5586 56 3 et et PROPN fbem-5586 56 4 al al PROPN fbem-5586 56 5 . . PROPN fbem-5586 57 1 ( ( PUNCT fbem-5586 57 2 2013 2013 NUM fbem-5586 57 3 ) ) PUNCT fbem-5586 57 4 analyzed analyze VERB fbem-5586 57 5 the the DET fbem-5586 57 6 similarities similarity NOUN fbem-5586 57 7 of of ADP fbem-5586 57 8 the the DET fbem-5586 57 9 two two NUM fbem-5586 57 10 communication communication NOUN fbem-5586 57 11 environments environment NOUN fbem-5586 57 12 and and CCONJ fbem-5586 57 13 processes process NOUN fbem-5586 57 14 . . PUNCT fbem-5586 58 1 zhao zhao PROPN fbem-5586 58 2 gang gang PROPN fbem-5586 58 3 et et PROPN fbem-5586 58 4 al al PROPN fbem-5586 58 5 . . PROPN fbem-5586 59 1 ( ( PUNCT fbem-5586 59 2 2015 2015 NUM fbem-5586 59 3 ) ) PUNCT fbem-5586 59 4 investigated investigate VERB fbem-5586 59 5 and and CCONJ fbem-5586 59 6 analyzed analyze VERB fbem-5586 59 7 the the DET fbem-5586 59 8 characteristics characteristic NOUN fbem-5586 59 9 of of ADP fbem-5586 59 10 supply supply NOUN fbem-5586 59 11 chain chain NOUN fbem-5586 59 12 network network NOUN fbem-5586 59 13 domain domain NOUN fbem-5586 59 14 groups group NOUN fbem-5586 59 15 . . PUNCT fbem-5586 60 1 zhao zhao PROPN fbem-5586 60 2 meng meng PROPN fbem-5586 60 3 et et PROPN fbem-5586 60 4 al al PROPN fbem-5586 60 5 . . PROPN fbem-5586 60 6 ( ( PUNCT fbem-5586 60 7 2020 2020 NUM fbem-5586 60 8 ) ) PUNCT fbem-5586 60 9 noted note VERB fbem-5586 60 10 that that SCONJ fbem-5586 60 11 both both DET fbem-5586 60 12 propagation propagation NOUN fbem-5586 60 13 directions direction NOUN fbem-5586 60 14 were be AUX fbem-5586 60 15 undirected undirected ADJ fbem-5586 60 16 radially radially ADV fbem-5586 60 17 . . PUNCT fbem-5586 61 1 therefore therefore ADV fbem-5586 61 2 , , PUNCT fbem-5586 61 3 the the DET fbem-5586 61 4 transmission transmission NOUN fbem-5586 61 5 behavior behavior NOUN fbem-5586 61 6 of of ADP fbem-5586 61 7 risk risk NOUN fbem-5586 61 8 in in ADP fbem-5586 61 9 supply supply NOUN fbem-5586 61 10 chain chain NOUN fbem-5586 61 11 network network NOUN fbem-5586 61 12 is be AUX fbem-5586 61 13 highly highly ADV fbem-5586 61 14 similar similar ADJ fbem-5586 61 15 to to ADP fbem-5586 61 16 that that PRON fbem-5586 61 17 of of ADP fbem-5586 61 18 virus virus NOUN fbem-5586 61 19 in in ADP fbem-5586 61 20 social social ADJ fbem-5586 61 21 network network NOUN fbem-5586 61 22 . . PUNCT fbem-5586 62 1 this this DET fbem-5586 62 2 similarity similarity NOUN fbem-5586 62 3 of of ADP fbem-5586 62 4 transmission transmission NOUN fbem-5586 62 5 behavior behavior NOUN fbem-5586 62 6 makes make VERB fbem-5586 62 7 the the DET fbem-5586 62 8 application application NOUN fbem-5586 62 9 of of ADP fbem-5586 62 10 dynamic dynamic ADJ fbem-5586 62 11 infectious infectious ADJ fbem-5586 62 12 disease disease NOUN fbem-5586 62 13 model model NOUN fbem-5586 62 14 in in ADP fbem-5586 62 15 the the DET fbem-5586 62 16 study study NOUN fbem-5586 62 17 of of ADP fbem-5586 62 18 supply supply NOUN fbem-5586 62 19 chain chain NOUN fbem-5586 62 20 network network NOUN fbem-5586 62 21 risk risk NOUN fbem-5586 62 22 transmission transmission NOUN fbem-5586 62 23 of of ADP fbem-5586 62 24 theoretical theoretical ADJ fbem-5586 62 25 significance significance NOUN fbem-5586 62 26 . . PUNCT fbem-5586 63 1 2 2 X fbem-5586 63 2 . . X fbem-5586 63 3 model model NOUN fbem-5586 63 4 2.1 2.1 NUM fbem-5586 63 5 . . PUNCT fbem-5586 64 1 hypothesis hypothesis NOUN fbem-5586 64 2 the the DET fbem-5586 64 3 complex complex ADJ fbem-5586 64 4 supply supply NOUN fbem-5586 64 5 chain chain NOUN fbem-5586 64 6 network network NOUN fbem-5586 64 7 in in ADP fbem-5586 64 8 this this DET fbem-5586 64 9 paper paper NOUN fbem-5586 64 10 refers refer VERB fbem-5586 64 11 to to ADP fbem-5586 64 12 the the DET fbem-5586 64 13 supply supply NOUN fbem-5586 64 14 chain chain NOUN fbem-5586 64 15 which which PRON fbem-5586 64 16 is be AUX fbem-5586 64 17 formed form VERB fbem-5586 64 18 by by ADP fbem-5586 64 19 the the DET fbem-5586 64 20 cross cross NOUN fbem-5586 64 21 connection connection NOUN fbem-5586 64 22 of of ADP fbem-5586 64 23 many many ADJ fbem-5586 64 24 enterprises enterprise NOUN fbem-5586 64 25 and and CCONJ fbem-5586 64 26 presents present VERB fbem-5586 64 27 the the DET fbem-5586 64 28 form form NOUN fbem-5586 64 29 of of ADP fbem-5586 64 30 network network NOUN fbem-5586 64 31 structure structure NOUN fbem-5586 64 32 . . PUNCT fbem-5586 65 1 its its PRON fbem-5586 65 2 complexity complexity NOUN fbem-5586 65 3 is be AUX fbem-5586 65 4 reflected reflect VERB fbem-5586 65 5 in in ADP fbem-5586 65 6 the the DET fbem-5586 65 7 quantity quantity NOUN fbem-5586 65 8 and and CCONJ fbem-5586 65 9 structure structure NOUN fbem-5586 65 10 and and CCONJ fbem-5586 65 11 so so ADV fbem-5586 65 12 on on ADV fbem-5586 65 13 . . PUNCT fbem-5586 66 1 before before ADP fbem-5586 66 2 modeling modeling NOUN fbem-5586 66 3 , , PUNCT fbem-5586 66 4 make make VERB fbem-5586 66 5 the the DET fbem-5586 66 6 following follow VERB fbem-5586 66 7 assumptions assumption NOUN fbem-5586 66 8 : : PUNCT fbem-5586 66 9 hypothesis hypothesis NOUN fbem-5586 66 10 1.nodal 1.nodal NUM fbem-5586 66 11 enterprises enterprise NOUN fbem-5586 66 12 in in ADP fbem-5586 66 13 the the DET fbem-5586 66 14 supply supply NOUN fbem-5586 66 15 chain chain NOUN fbem-5586 66 16 network network NOUN fbem-5586 66 17 have have VERB fbem-5586 66 18 no no DET fbem-5586 66 19 significant significant ADJ fbem-5586 66 20 difference difference NOUN fbem-5586 66 21 in in ADP fbem-5586 66 22 their their PRON fbem-5586 66 23 ability ability NOUN fbem-5586 66 24 to to PART fbem-5586 66 25 resist resist VERB fbem-5586 66 26 risks risk NOUN fbem-5586 66 27 , , PUNCT fbem-5586 66 28 and and CCONJ fbem-5586 66 29 all all DET fbem-5586 66 30 nodal nodal NOUN fbem-5586 66 31 enterprises enterprise NOUN fbem-5586 66 32 are be AUX fbem-5586 66 33 not not PART fbem-5586 66 34 immune immune ADJ fbem-5586 66 35 to to ADP fbem-5586 66 36 risks risk NOUN fbem-5586 66 37 . . PUNCT fbem-5586 67 1 all all DET fbem-5586 67 2 nodal nodal NOUN fbem-5586 67 3 enterprises enterprise NOUN fbem-5586 67 4 have have VERB fbem-5586 67 5 the the DET fbem-5586 67 6 same same ADJ fbem-5586 67 7 probability probability NOUN fbem-5586 67 8 of of ADP fbem-5586 67 9 being be AUX fbem-5586 67 10 infected infect VERB fbem-5586 67 11 after after ADP fbem-5586 67 12 contact contact NOUN fbem-5586 67 13 with with ADP fbem-5586 67 14 risk risk NOUN fbem-5586 67 15 - - PUNCT fbem-5586 67 16 infected infect VERB fbem-5586 67 17 enterprises enterprise NOUN fbem-5586 67 18 . . PUNCT fbem-5586 68 1 hypothesis hypothesis NOUN fbem-5586 68 2 2 2 NUM fbem-5586 68 3 . . PUNCT fbem-5586 68 4 complex complex ADJ fbem-5586 68 5 supply supply NOUN fbem-5586 68 6 chain chain NOUN fbem-5586 68 7 network network NOUN fbem-5586 68 8 is be AUX fbem-5586 68 9 a a DET fbem-5586 68 10 relatively relatively ADV fbem-5586 68 11 open open ADJ fbem-5586 68 12 system system NOUN fbem-5586 68 13 with with ADP fbem-5586 68 14 a a DET fbem-5586 68 15 network network NOUN fbem-5586 68 16 structure structure NOUN fbem-5586 68 17 , , PUNCT fbem-5586 68 18 and and CCONJ fbem-5586 68 19 the the DET fbem-5586 68 20 number number NOUN fbem-5586 68 21 of of ADP fbem-5586 68 22 its its PRON fbem-5586 68 23 nodes node NOUN fbem-5586 68 24 changes change VERB fbem-5586 68 25 dynamically dynamically ADV fbem-5586 68 26 . . PUNCT fbem-5586 69 1 some some DET fbem-5586 69 2 new new ADJ fbem-5586 69 3 enterprises enterprise NOUN fbem-5586 69 4 enter enter VERB fbem-5586 69 5 the the DET fbem-5586 69 6 system system NOUN fbem-5586 69 7 in in ADP fbem-5586 69 8 pursuit pursuit NOUN fbem-5586 69 9 of of ADP fbem-5586 69 10 profits profit NOUN fbem-5586 69 11 , , PUNCT fbem-5586 69 12 while while SCONJ fbem-5586 69 13 others other NOUN fbem-5586 69 14 exit exit VERB fbem-5586 69 15 the the DET fbem-5586 69 16 system system NOUN fbem-5586 69 17 due due ADP fbem-5586 69 18 to to ADP fbem-5586 69 19 bankruptcy bankruptcy NOUN fbem-5586 69 20 , , PUNCT fbem-5586 69 21 strategic strategic ADJ fbem-5586 69 22 transformation transformation NOUN fbem-5586 69 23 and and CCONJ fbem-5586 69 24 other other ADJ fbem-5586 69 25 reasons reason NOUN fbem-5586 69 26 . . PUNCT fbem-5586 70 1 in in ADP fbem-5586 70 2 this this DET fbem-5586 70 3 paper paper NOUN fbem-5586 70 4 , , PUNCT fbem-5586 70 5 the the DET fbem-5586 70 6 total total ADJ fbem-5586 70 7 number number NOUN fbem-5586 70 8 of of ADP fbem-5586 70 9 nodal nodal NOUN fbem-5586 70 10 enterprises enterprise NOUN fbem-5586 70 11 in in ADP fbem-5586 70 12 the the DET fbem-5586 70 13 supply supply NOUN fbem-5586 70 14 chain chain NOUN fbem-5586 70 15 network network NOUN fbem-5586 70 16 is be AUX fbem-5586 70 17 in in ADP fbem-5586 70 18 a a DET fbem-5586 70 19 dynamic dynamic ADJ fbem-5586 70 20 equilibrium equilibrium NOUN fbem-5586 70 21 state state NOUN fbem-5586 70 22 . . PUNCT fbem-5586 71 1 suppose suppose VERB fbem-5586 71 2 that that SCONJ fbem-5586 71 3 the the DET fbem-5586 71 4 entry entry NOUN fbem-5586 71 5 rate rate NOUN fbem-5586 71 6 of of ADP fbem-5586 71 7 the the DET fbem-5586 71 8 new new ADJ fbem-5586 71 9 firm firm NOUN fbem-5586 71 10 and and CCONJ fbem-5586 71 11 the the DET fbem-5586 71 12 exit exit NOUN fbem-5586 71 13 rate rate NOUN fbem-5586 71 14 of of ADP fbem-5586 71 15 the the DET fbem-5586 71 16 original original ADJ fbem-5586 71 17 firm firm NOUN fbem-5586 71 18 are be AUX fbem-5586 71 19 πœ‡ πœ‡ X fbem-5586 71 20 ( ( PUNCT fbem-5586 71 21 0 0 NUM fbem-5586 71 22 πœ‡ πœ‡ ADP fbem-5586 71 23 1 1 NUM fbem-5586 71 24 ) ) PUNCT fbem-5586 71 25 . . PUNCT fbem-5586 72 1 hypothesis hypothesis NOUN fbem-5586 72 2 3 3 NUM fbem-5586 72 3 . . PUNCT fbem-5586 73 1 according accord VERB fbem-5586 73 2 to to ADP fbem-5586 73 3 the the DET fbem-5586 73 4 risk risk NOUN fbem-5586 73 5 status status NOUN fbem-5586 73 6 of of ADP fbem-5586 73 7 each each DET fbem-5586 73 8 node node ADJ fbem-5586 73 9 enterprise enterprise NOUN fbem-5586 73 10 , , PUNCT fbem-5586 73 11 it it PRON fbem-5586 73 12 can can AUX fbem-5586 73 13 be be AUX fbem-5586 73 14 divided divide VERB fbem-5586 73 15 into into ADP fbem-5586 73 16 the the DET fbem-5586 73 17 following follow VERB fbem-5586 73 18 four four NUM fbem-5586 73 19 categories category NOUN fbem-5586 73 20 : : PUNCT fbem-5586 73 21 ( ( PUNCT fbem-5586 73 22 1 1 X fbem-5586 73 23 ) ) PUNCT fbem-5586 73 24 the the DET fbem-5586 73 25 number number NOUN fbem-5586 73 26 of of ADP fbem-5586 73 27 risk risk NOUN fbem-5586 73 28 susceptible susceptible ADJ fbem-5586 73 29 enterprises enterprise NOUN fbem-5586 73 30 at at ADP fbem-5586 73 31 moment moment NOUN fbem-5586 73 32 𝑑 𝑑 PROPN fbem-5586 73 33 remains remain VERB fbem-5586 73 34 𝑆 𝑆 PROPN fbem-5586 73 35 𝑑 𝑑 PROPN fbem-5586 73 36 ; ; PUNCT fbem-5586 73 37 ( ( PUNCT fbem-5586 73 38 2 2 X fbem-5586 73 39 ) ) PUNCT fbem-5586 73 40 the the DET fbem-5586 73 41 number number NOUN fbem-5586 73 42 of of ADP fbem-5586 73 43 risk risk NOUN fbem-5586 73 44 exposed expose VERB fbem-5586 73 45 enterprises enterprise NOUN fbem-5586 73 46 at at ADP fbem-5586 73 47 moment moment NOUN fbem-5586 73 48 𝑑 𝑑 PROPN fbem-5586 73 49 remains remain VERB fbem-5586 73 50 𝐸 𝐸 PROPN fbem-5586 73 51 𝑑 𝑑 PROPN fbem-5586 73 52 . . PUNCT fbem-5586 74 1 ( ( PUNCT fbem-5586 74 2 note note NOUN fbem-5586 74 3 : : PUNCT fbem-5586 74 4 risk risk NOUN fbem-5586 74 5 prone prone ADJ fbem-5586 74 6 enterprises enterprise NOUN fbem-5586 74 7 will will AUX fbem-5586 74 8 not not PART fbem-5586 74 9 be be AUX fbem-5586 74 10 infected infect VERB fbem-5586 74 11 immediately immediately ADV fbem-5586 74 12 after after ADP fbem-5586 74 13 contact contact NOUN fbem-5586 74 14 with with ADP fbem-5586 74 15 risk risk NOUN fbem-5586 74 16 infected infect VERB fbem-5586 74 17 enterprises enterprise NOUN fbem-5586 74 18 , , PUNCT fbem-5586 74 19 but but CCONJ fbem-5586 74 20 will will AUX fbem-5586 74 21 use use VERB fbem-5586 74 22 their their PRON fbem-5586 74 23 own own ADJ fbem-5586 74 24 elastic elastic ADJ fbem-5586 74 25 and and CCONJ fbem-5586 74 26 redundant redundant ADJ fbem-5586 74 27 production production NOUN fbem-5586 74 28 capacity capacity NOUN fbem-5586 74 29 to to PART fbem-5586 74 30 fight fight VERB fbem-5586 74 31 against against ADP fbem-5586 74 32 them they PRON fbem-5586 74 33 , , PUNCT fbem-5586 74 34 but but CCONJ fbem-5586 74 35 have have AUX fbem-5586 74 36 not not PART fbem-5586 74 37 shown show VERB fbem-5586 74 38 symptoms symptom NOUN fbem-5586 74 39 for for ADP fbem-5586 74 40 the the DET fbem-5586 74 41 time time NOUN fbem-5586 74 42 being being NOUN fbem-5586 74 43 , , PUNCT fbem-5586 74 44 and and CCONJ fbem-5586 74 45 are be AUX fbem-5586 74 46 in in ADP fbem-5586 74 47 risk risk NOUN fbem-5586 74 48 exposed expose VERB fbem-5586 74 49 stage stage NOUN fbem-5586 74 50 ) ) PUNCT fbem-5586 74 51 ; ; PUNCT fbem-5586 74 52 ( ( PUNCT fbem-5586 74 53 3 3 X fbem-5586 74 54 ) ) PUNCT fbem-5586 74 55 the the DET fbem-5586 74 56 number number NOUN fbem-5586 74 57 of of ADP fbem-5586 74 58 risk risk NOUN fbem-5586 74 59 infected infect VERB fbem-5586 74 60 enterprises enterprise NOUN fbem-5586 74 61 at at ADP fbem-5586 74 62 moment moment NOUN fbem-5586 74 63 𝑑 𝑑 PROPN fbem-5586 74 64 remains remain VERB fbem-5586 74 65 𝐼 𝐼 ADP fbem-5586 74 66 𝑑 𝑑 PROPN fbem-5586 74 67 ; ; PUNCT fbem-5586 74 68 ( ( PUNCT fbem-5586 74 69 4 4 X fbem-5586 74 70 ) ) PUNCT fbem-5586 74 71 the the DET fbem-5586 74 72 number number NOUN fbem-5586 74 73 of of ADP fbem-5586 74 74 risk risk NOUN fbem-5586 74 75 recovered recover VERB fbem-5586 74 76 enterprises enterprise NOUN fbem-5586 74 77 at at ADP fbem-5586 74 78 moment moment NOUN fbem-5586 74 79 𝑑 𝑑 PROPN fbem-5586 74 80 remains remain VERB fbem-5586 74 81 𝑅 𝑅 PROPN fbem-5586 74 82 𝑑 𝑑 PROPN fbem-5586 74 83 . . PUNCT fbem-5586 75 1 at at ADP fbem-5586 75 2 moment moment NOUN fbem-5586 75 3 𝑑 𝑑 NOUN fbem-5586 75 4 , , PUNCT fbem-5586 75 5 the the DET fbem-5586 75 6 total total ADJ fbem-5586 75 7 number number NOUN fbem-5586 75 8 of of ADP fbem-5586 75 9 nodal nodal NOUN fbem-5586 75 10 enterprises enterprise NOUN fbem-5586 75 11 in in ADP fbem-5586 75 12 the the DET fbem-5586 75 13 whole whole ADJ fbem-5586 75 14 supply supply NOUN fbem-5586 75 15 chain chain NOUN fbem-5586 75 16 network network NOUN fbem-5586 75 17 remains remain VERB fbem-5586 75 18 𝑁 𝑁 PROPN fbem-5586 75 19 𝑑 𝑑 PROPN fbem-5586 75 20 . . PUNCT fbem-5586 76 1 ( ( PUNCT fbem-5586 76 2 p.s p.s PROPN fbem-5586 76 3 . . PROPN fbem-5586 77 1 due due ADP fbem-5586 77 2 to to ADP fbem-5586 77 3 the the DET fbem-5586 77 4 total total ADJ fbem-5586 77 5 number number NOUN fbem-5586 77 6 of of ADP fbem-5586 77 7 node node ADJ fbem-5586 77 8 enterprises enterprise NOUN fbem-5586 77 9 in in ADP fbem-5586 77 10 supply supply NOUN fbem-5586 77 11 chain chain NOUN fbem-5586 77 12 network network NOUN fbem-5586 77 13 remain remain VERB fbem-5586 77 14 unchanged unchanged ADJ fbem-5586 77 15 , , PUNCT fbem-5586 77 16 so so SCONJ fbem-5586 77 17 𝑁 𝑁 PROPN fbem-5586 77 18 𝑑 𝑑 PROPN fbem-5586 77 19 can can AUX fbem-5586 77 20 also also ADV fbem-5586 77 21 be be AUX fbem-5586 77 22 referred refer VERB fbem-5586 77 23 to to ADP fbem-5586 77 24 𝑁 𝑁 PROPN fbem-5586 77 25 ) ) PUNCT fbem-5586 77 26 . . PUNCT fbem-5586 78 1 the the DET fbem-5586 78 2 total total ADJ fbem-5586 78 3 number number NOUN fbem-5586 78 4 of of ADP fbem-5586 78 5 node node ADJ fbem-5586 78 6 enterprises enterprise NOUN fbem-5586 78 7 at at ADP fbem-5586 78 8 moment moment NOUN fbem-5586 78 9 t t NOUN fbem-5586 78 10 is be AUX fbem-5586 78 11 𝑁 𝑁 PROPN fbem-5586 78 12 𝑑 𝑑 PROPN fbem-5586 78 13 𝑆 𝑆 PROPN fbem-5586 78 14 𝑑 𝑑 PROPN fbem-5586 78 15 𝐸 𝐸 PROPN fbem-5586 78 16 𝑑 𝑑 X fbem-5586 78 17 𝐼 𝐼 PROPN fbem-5586 78 18 𝑑 𝑑 PROPN fbem-5586 78 19 𝑅 𝑅 PROPN fbem-5586 78 20 𝑑 𝑑 ADJ fbem-5586 78 21 1 1 NUM fbem-5586 78 22 hypothesis hypothesis NOUN fbem-5586 78 23 4 4 NUM fbem-5586 78 24 . . PUNCT fbem-5586 79 1 due due ADP fbem-5586 79 2 to to ADP fbem-5586 79 3 the the DET fbem-5586 79 4 correlation correlation NOUN fbem-5586 79 5 and and CCONJ fbem-5586 79 6 complexity complexity NOUN fbem-5586 79 7 of of ADP fbem-5586 79 8 the the DET fbem-5586 79 9 structure structure NOUN fbem-5586 79 10 among among ADP fbem-5586 79 11 the the DET fbem-5586 79 12 main main ADJ fbem-5586 79 13 bodies body NOUN fbem-5586 79 14 of of ADP fbem-5586 79 15 the the DET fbem-5586 79 16 supply supply NOUN fbem-5586 79 17 chain chain NOUN fbem-5586 79 18 network network NOUN fbem-5586 79 19 , , PUNCT fbem-5586 79 20 risks risk NOUN fbem-5586 79 21 will will AUX fbem-5586 79 22 be be AUX fbem-5586 79 23 transmitted transmit VERB fbem-5586 79 24 to to ADP fbem-5586 79 25 each each DET fbem-5586 79 26 other other ADJ fbem-5586 79 27 due due ADP fbem-5586 79 28 to to ADP fbem-5586 79 29 direct direct ADJ fbem-5586 79 30 supply supply NOUN fbem-5586 79 31 and and CCONJ fbem-5586 79 32 marketing marketing NOUN fbem-5586 79 33 or or CCONJ fbem-5586 79 34 business business NOUN fbem-5586 79 35 transactions transaction NOUN fbem-5586 79 36 . . PUNCT fbem-5586 80 1 however however ADV fbem-5586 80 2 , , PUNCT fbem-5586 80 3 the the DET fbem-5586 80 4 transmission transmission NOUN fbem-5586 80 5 of of ADP fbem-5586 80 6 risks risk NOUN fbem-5586 80 7 among among ADP fbem-5586 80 8 the the DET fbem-5586 80 9 main main ADJ fbem-5586 80 10 bodies body NOUN fbem-5586 80 11 of of ADP fbem-5586 80 12 the the DET fbem-5586 80 13 supply supply NOUN fbem-5586 80 14 chain chain NOUN fbem-5586 80 15 network network NOUN fbem-5586 80 16 is be AUX fbem-5586 80 17 not not PART fbem-5586 80 18 inevitable inevitable ADJ fbem-5586 80 19 , , PUNCT fbem-5586 80 20 but but CCONJ fbem-5586 80 21 conducted conduct VERB fbem-5586 80 22 with with ADP fbem-5586 80 23 a a DET fbem-5586 80 24 certain certain ADJ fbem-5586 80 25 probability probability NOUN fbem-5586 80 26 . . PUNCT fbem-5586 81 1 hypothesis hypothesis NOUN fbem-5586 81 2 5 5 NUM fbem-5586 81 3 . . PUNCT fbem-5586 82 1 enterprises enterprise NOUN fbem-5586 82 2 under under ADP fbem-5586 82 3 the the DET fbem-5586 82 4 four four NUM fbem-5586 82 5 risk risk NOUN fbem-5586 82 6 states state NOUN fbem-5586 82 7 will will AUX fbem-5586 82 8 transform transform VERB fbem-5586 82 9 with with ADP fbem-5586 82 10 a a DET fbem-5586 82 11 certain certain ADJ fbem-5586 82 12 probability probability NOUN fbem-5586 82 13 . . PUNCT fbem-5586 83 1 at at ADP fbem-5586 83 2 the the DET fbem-5586 83 3 time time NOUN fbem-5586 83 4 t t PROPN fbem-5586 83 5 , , PUNCT fbem-5586 83 6 the the DET fbem-5586 83 7 total total ADJ fbem-5586 83 8 number number NOUN fbem-5586 83 9 of of ADP fbem-5586 83 10 enterprises enterprise NOUN fbem-5586 83 11 n n PRON fbem-5586 83 12 remains remain VERB fbem-5586 83 13 unchanged unchanged ADJ fbem-5586 83 14 . . PUNCT fbem-5586 84 1 after after ADP fbem-5586 84 2 a a DET fbem-5586 84 3 certain certain ADJ fbem-5586 84 4 risk risk NOUN fbem-5586 84 5 infected infect VERB fbem-5586 84 6 enterprise enterprise NOUN fbem-5586 84 7 contacts contact NOUN fbem-5586 84 8 with with ADP fbem-5586 84 9 the the DET fbem-5586 84 10 risk risk NOUN fbem-5586 84 11 infected infect VERB fbem-5586 84 12 enterprise enterprise NOUN fbem-5586 84 13 , , PUNCT fbem-5586 84 14 it it PRON fbem-5586 84 15 transforms transform VERB fbem-5586 84 16 into into ADP fbem-5586 84 17 a a DET fbem-5586 84 18 risk risk NOUN fbem-5586 84 19 latent latent NOUN fbem-5586 84 20 enterprise enterprise NOUN fbem-5586 84 21 with with ADP fbem-5586 84 22 a a DET fbem-5586 84 23 certain certain ADJ fbem-5586 84 24 probability probability NOUN fbem-5586 84 25 . . PUNCT fbem-5586 85 1 the the DET fbem-5586 85 2 conversion conversion NOUN fbem-5586 85 3 rate rate NOUN fbem-5586 85 4 is be AUX fbem-5586 85 5 expressed express VERB fbem-5586 85 6 by by ADP fbem-5586 85 7 𝛽 𝛽 PROPN fbem-5586 85 8 ( ( PUNCT fbem-5586 85 9 0 0 NUM fbem-5586 85 10 𝛽 𝛽 NOUN fbem-5586 85 11 1 1 NUM fbem-5586 85 12 ) ) PUNCT fbem-5586 85 13 . . PUNCT fbem-5586 86 1 a a DET fbem-5586 86 2 risk risk NOUN fbem-5586 86 3 latent latent NOUN fbem-5586 86 4 enterprise enterprise NOUN fbem-5586 86 5 is be AUX fbem-5586 86 6 converted convert VERB fbem-5586 86 7 into into ADP fbem-5586 86 8 a a DET fbem-5586 86 9 risk risk NOUN fbem-5586 86 10 infected infect VERB fbem-5586 86 11 enterprise enterprise NOUN fbem-5586 86 12 with with ADP fbem-5586 86 13 a a DET fbem-5586 86 14 certain certain ADJ fbem-5586 86 15 probability probability NOUN fbem-5586 86 16 , , PUNCT fbem-5586 86 17 and and CCONJ fbem-5586 86 18 the the DET fbem-5586 86 19 conversion conversion NOUN fbem-5586 86 20 rate rate NOUN fbem-5586 86 21 is be AUX fbem-5586 86 22 denoted denote VERB fbem-5586 86 23 as as ADP fbem-5586 86 24 𝛼 𝛼 X fbem-5586 86 25 0 0 NUM fbem-5586 86 26 𝛼 𝛼 NOUN fbem-5586 86 27 1 1 NUM fbem-5586 86 28 . . PUNCT fbem-5586 87 1 a a DET fbem-5586 87 2 risk risk NOUN fbem-5586 87 3 infected infect VERB fbem-5586 87 4 enterprise enterprise NOUN fbem-5586 87 5 recovers recover NOUN fbem-5586 87 6 from from ADP fbem-5586 87 7 risk risk NOUN fbem-5586 87 8 infection infection NOUN fbem-5586 87 9 with with ADP fbem-5586 87 10 a a DET fbem-5586 87 11 certain certain ADJ fbem-5586 87 12 probability probability NOUN fbem-5586 87 13 and and CCONJ fbem-5586 87 14 transforms transform VERB fbem-5586 87 15 into into ADP fbem-5586 87 16 a a DET fbem-5586 87 17 risk risk NOUN fbem-5586 87 18 recovered recover VERB fbem-5586 87 19 enterprise enterprise NOUN fbem-5586 87 20 . . PUNCT fbem-5586 88 1 the the DET fbem-5586 88 2 conversion conversion NOUN fbem-5586 88 3 rate rate NOUN fbem-5586 88 4 is be AUX fbem-5586 88 5 denoted denote VERB fbem-5586 88 6 as as ADP fbem-5586 88 7 𝛾 𝛾 PROPN fbem-5586 88 8 0 0 NUM fbem-5586 88 9 𝛾 𝛾 NOUN fbem-5586 88 10 1 1 NUM fbem-5586 88 11 . . PUNCT fbem-5586 89 1 the the DET fbem-5586 89 2 parameters parameter NOUN fbem-5586 89 3 are be AUX fbem-5586 89 4 described describe VERB fbem-5586 89 5 as as SCONJ fbem-5586 89 6 follows follow VERB fbem-5586 89 7 table table NOUN fbem-5586 89 8 1 1 NUM fbem-5586 89 9 . . PUNCT fbem-5586 89 10 related relate VERB fbem-5586 89 11 parameters parameter NOUN fbem-5586 89 12 of of ADP fbem-5586 89 13 seir seir ADJ fbem-5586 89 14 model model NOUN fbem-5586 89 15 parameter parameter NOUN fbem-5586 89 16 description description NOUN fbem-5586 89 17 𝜢 𝜢 ADP fbem-5586 89 18 risk risk NOUN fbem-5586 89 19 infection infection NOUN fbem-5586 89 20 rate rate NOUN fbem-5586 89 21 of of ADP fbem-5586 89 22 risk risk NOUN fbem-5586 89 23 latent latent NOUN fbem-5586 89 24 enterprise enterprise NOUN fbem-5586 89 25 𝜷 𝜷 ADP fbem-5586 89 26 the the DET fbem-5586 89 27 probability probability NOUN fbem-5586 89 28 that that SCONJ fbem-5586 89 29 the the DET fbem-5586 89 30 risk risk NOUN fbem-5586 89 31 is be AUX fbem-5586 89 32 latent latent ADJ fbem-5586 89 33 𝒓 𝒓 PROPN fbem-5586 89 34 recovery recovery NOUN fbem-5586 89 35 rate rate NOUN fbem-5586 89 36 of of ADP fbem-5586 89 37 infected infected ADJ fbem-5586 89 38 enterprises enterprise NOUN fbem-5586 89 39 𝝁 𝝁 PRON fbem-5586 89 40 the the DET fbem-5586 89 41 entry entry NOUN fbem-5586 89 42 rate rate NOUN fbem-5586 89 43 and and CCONJ fbem-5586 89 44 exit exit NOUN fbem-5586 89 45 rate rate NOUN fbem-5586 89 46 of of ADP fbem-5586 89 47 enterprises enterprise NOUN fbem-5586 89 48 hypothesis hypothesis VERB fbem-5586 89 49 6.the 6.the DET fbem-5586 89 50 nodal nodal NOUN fbem-5586 89 51 enterprises enterprise NOUN fbem-5586 89 52 in in ADP fbem-5586 89 53 the the DET fbem-5586 89 54 supply supply NOUN fbem-5586 89 55 chain chain NOUN fbem-5586 89 56 network network NOUN fbem-5586 89 57 with with ADP fbem-5586 89 58 risk risk NOUN fbem-5586 89 59 infection infection NOUN fbem-5586 89 60 have have VERB fbem-5586 89 61 antibodies antibody NOUN fbem-5586 89 62 to to PART fbem-5586 89 63 become become VERB fbem-5586 89 64 risk risk NOUN fbem-5586 89 65 recovery recovery NOUN fbem-5586 89 66 enterprises enterprise NOUN fbem-5586 89 67 after after ADP fbem-5586 89 68 recovery recovery NOUN fbem-5586 89 69 from from ADP fbem-5586 89 70 risk risk NOUN fbem-5586 89 71 , , PUNCT fbem-5586 89 72 and and CCONJ fbem-5586 89 73 have have VERB fbem-5586 89 74 immunity immunity NOUN fbem-5586 89 75 during during ADP fbem-5586 89 76 the the DET fbem-5586 89 77 t t NOUN fbem-5586 89 78 period period NOUN fbem-5586 89 79 , , PUNCT fbem-5586 89 80 will will AUX fbem-5586 89 81 not not PART fbem-5586 89 82 be be AUX fbem-5586 89 83 infected infect VERB fbem-5586 89 84 by by ADP fbem-5586 89 85 risk risk NOUN fbem-5586 89 86 again again ADV fbem-5586 89 87 , , PUNCT fbem-5586 89 88 and and CCONJ fbem-5586 89 89 will will AUX fbem-5586 89 90 not not PART fbem-5586 89 91 have have VERB fbem-5586 89 92 risk risk NOUN fbem-5586 89 93 transmission transmission NOUN fbem-5586 89 94 . . PUNCT fbem-5586 90 1 hypothesis hypothesis NOUN fbem-5586 90 2 7 7 NUM fbem-5586 90 3 . . PUNCT fbem-5586 91 1 𝑃 𝑃 PROPN fbem-5586 91 2 𝑆 𝑆 PROPN fbem-5586 91 3 , , PUNCT fbem-5586 91 4 𝐸 𝐸 PROPN fbem-5586 91 5 , , PUNCT fbem-5586 91 6 𝐼 𝐼 PROPN fbem-5586 91 7 , , PUNCT fbem-5586 91 8 𝑅 𝑅 PROPN fbem-5586 91 9 was be AUX fbem-5586 91 10 set set VERB fbem-5586 91 11 as as ADP fbem-5586 91 12 the the DET fbem-5586 91 13 zero zero NUM fbem-5586 91 14 equilibrium equilibrium NOUN fbem-5586 91 15 point point NOUN fbem-5586 91 16 ( ( PUNCT fbem-5586 91 17 zep zep PROPN fbem-5586 91 18 ) ) PUNCT fbem-5586 91 19 of of ADP fbem-5586 91 20 risk risk NOUN fbem-5586 91 21 transmission transmission NOUN fbem-5586 91 22 in in ADP fbem-5586 91 23 the the DET fbem-5586 91 24 system system NOUN fbem-5586 91 25 , , PUNCT fbem-5586 91 26 indicating indicate VERB fbem-5586 91 27 that that SCONJ fbem-5586 91 28 the the DET fbem-5586 91 29 number number NOUN fbem-5586 91 30 of of ADP fbem-5586 91 31 risk risk NOUN fbem-5586 91 32 infected infect VERB fbem-5586 91 33 enterprises enterprise NOUN fbem-5586 91 34 in in ADP fbem-5586 91 35 the the DET fbem-5586 91 36 supply supply NOUN fbem-5586 91 37 chain chain NOUN fbem-5586 91 38 network network NOUN fbem-5586 91 39 gradually gradually ADV fbem-5586 91 40 decreased decrease VERB fbem-5586 91 41 and and CCONJ fbem-5586 91 42 finally finally ADV fbem-5586 91 43 cleared clear VERB fbem-5586 91 44 to to ADP fbem-5586 91 45 zero zero NUM fbem-5586 91 46 . . PUNCT fbem-5586 92 1 π‘ƒβˆ— π‘ƒβˆ— VERB fbem-5586 92 2 π‘†βˆ— π‘†βˆ— NOUN fbem-5586 92 3 , , PUNCT fbem-5586 92 4 πΈβˆ— πΈβˆ— NOUN fbem-5586 92 5 , , PUNCT fbem-5586 92 6 πΌβˆ— πΌβˆ— PROPN fbem-5586 92 7 , , PUNCT fbem-5586 92 8 π‘…βˆ— π‘…βˆ— NUM fbem-5586 92 9 is be AUX fbem-5586 92 10 the the DET fbem-5586 92 11 non non ADJ fbem-5586 92 12 - - ADJ fbem-5586 92 13 zero zero NUM fbem-5586 92 14 equilibrium equilibrium NOUN fbem-5586 92 15 point point NOUN fbem-5586 92 16 ( ( PUNCT fbem-5586 92 17 n n CCONJ fbem-5586 92 18 - - PUNCT fbem-5586 92 19 zep zep PROPN fbem-5586 92 20 ) ) PUNCT fbem-5586 92 21 of of ADP fbem-5586 92 22 risk risk NOUN fbem-5586 92 23 transmission transmission NOUN fbem-5586 92 24 , , PUNCT fbem-5586 92 25 indicating indicate VERB fbem-5586 92 26 that that SCONJ fbem-5586 92 27 the the DET fbem-5586 92 28 number number NOUN fbem-5586 92 29 of of ADP fbem-5586 92 30 risk risk NOUN fbem-5586 92 31 infected infect VERB fbem-5586 92 32 enterprises enterprise NOUN fbem-5586 92 33 in in ADP fbem-5586 92 34 the the DET fbem-5586 92 35 supply supply NOUN fbem-5586 92 36 chain chain NOUN fbem-5586 92 37 network network NOUN fbem-5586 92 38 remains remain VERB fbem-5586 92 39 constant constant ADJ fbem-5586 92 40 and and CCONJ fbem-5586 92 41 can can AUX fbem-5586 92 42 not not PART fbem-5586 92 43 be be AUX fbem-5586 92 44 eliminated eliminate VERB fbem-5586 92 45 . . PUNCT fbem-5586 93 1 2.2 2.2 NUM fbem-5586 93 2 . . PUNCT fbem-5586 93 3 seir seir ADJ fbem-5586 93 4 system system NOUN fbem-5586 93 5 dynamics dynamic NOUN fbem-5586 93 6 model model NOUN fbem-5586 93 7 according accord VERB fbem-5586 93 8 to to ADP fbem-5586 93 9 the the DET fbem-5586 93 10 above above ADJ fbem-5586 93 11 assumptions assumption NOUN fbem-5586 93 12 , , PUNCT fbem-5586 93 13 the the DET fbem-5586 93 14 risk risk NOUN fbem-5586 93 15 propagation propagation NOUN fbem-5586 93 16 process process NOUN fbem-5586 93 17 based base VERB fbem-5586 93 18 on on ADP fbem-5586 93 19 seir seir ADJ fbem-5586 93 20 model model NOUN fbem-5586 93 21 in in ADP fbem-5586 93 22 this this DET fbem-5586 93 23 complex complex ADJ fbem-5586 93 24 supply supply NOUN fbem-5586 93 25 chain chain NOUN fbem-5586 93 26 network network NOUN fbem-5586 93 27 is be AUX fbem-5586 93 28 shown show VERB fbem-5586 93 29 in in ADP fbem-5586 93 30 figure figure NOUN fbem-5586 93 31 1 1 NUM fbem-5586 93 32 . . PUNCT fbem-5586 94 1 figure figure NOUN fbem-5586 94 2 1 1 NUM fbem-5586 94 3 . . PUNCT fbem-5586 94 4 risk risk NOUN fbem-5586 94 5 propagation propagation NOUN fbem-5586 94 6 model model NOUN fbem-5586 94 7 of of ADP fbem-5586 94 8 supply supply NOUN fbem-5586 94 9 chain chain NOUN fbem-5586 94 10 network network NOUN fbem-5586 94 11 on on ADP fbem-5586 94 12 this this DET fbem-5586 94 13 basis basis NOUN fbem-5586 94 14 , , PUNCT fbem-5586 94 15 the the DET fbem-5586 94 16 seir seir ADJ fbem-5586 94 17 system system NOUN fbem-5586 94 18 dynamics dynamic NOUN fbem-5586 94 19 differential differential VERB fbem-5586 94 20 247 247 NUM fbem-5586 94 21 equation equation NOUN fbem-5586 94 22 of of ADP fbem-5586 94 23 risk risk NOUN fbem-5586 94 24 propagation propagation NOUN fbem-5586 94 25 in in ADP fbem-5586 94 26 complex complex ADJ fbem-5586 94 27 supply supply NOUN fbem-5586 94 28 chain chain NOUN fbem-5586 94 29 network network NOUN fbem-5586 94 30 is be AUX fbem-5586 94 31 constructed construct VERB fbem-5586 94 32 as as SCONJ fbem-5586 94 33 follows follow VERB fbem-5586 94 34 : : PUNCT fbem-5586 94 35 ⎩ ⎩ NUM fbem-5586 94 36 βŽͺ βŽͺ NOUN fbem-5586 94 37 βŽͺ βŽͺ NOUN fbem-5586 94 38 βŽͺ βŽͺ NOUN fbem-5586 94 39 ⎨ ⎨ PROPN fbem-5586 94 40 βŽͺ βŽͺ NOUN fbem-5586 94 41 βŽͺ βŽͺ NOUN fbem-5586 94 42 βŽͺ βŽͺ NOUN fbem-5586 94 43 ⎧ ⎧ PROPN fbem-5586 94 44 𝑑𝑆 𝑑𝑆 PROPN fbem-5586 94 45 𝑑 𝑑 PROPN fbem-5586 94 46 𝑑𝑑 𝑑𝑑 ADP fbem-5586 94 47 πœ‡π‘ πœ‡π‘ NOUN fbem-5586 94 48 𝑑 𝑑 PROPN fbem-5586 94 49 𝛽𝑆 𝛽𝑆 PROPN fbem-5586 94 50 𝑑 𝑑 X fbem-5586 94 51 𝐼 𝐼 ADP fbem-5586 94 52 𝑑 𝑑 PROPN fbem-5586 94 53 𝑁 𝑁 PROPN fbem-5586 94 54 𝑑 𝑑 PROPN fbem-5586 94 55 πœ‡π‘† πœ‡π‘† PROPN fbem-5586 94 56 𝑑 𝑑 PROPN fbem-5586 94 57 𝑑𝐸 𝑑𝐸 PROPN fbem-5586 94 58 𝑑 𝑑 PROPN fbem-5586 94 59 𝑑𝑑 𝑑𝑑 ADP fbem-5586 94 60 𝛽𝑆 𝛽𝑆 PROPN fbem-5586 94 61 𝑑 𝑑 PROPN fbem-5586 94 62 𝐼 𝐼 PROPN fbem-5586 94 63 𝑑 𝑑 PROPN fbem-5586 94 64 𝑁 𝑁 PROPN fbem-5586 94 65 𝑑 𝑑 NOUN fbem-5586 94 66 𝛼𝐸 𝛼𝐸 NOUN fbem-5586 94 67 𝑑 𝑑 PROPN fbem-5586 94 68 πœ‡πΈ πœ‡πΈ PROPN fbem-5586 94 69 𝑑 𝑑 PROPN fbem-5586 94 70 𝑑𝐼 𝑑𝐼 PROPN fbem-5586 94 71 𝑑 𝑑 ADP fbem-5586 94 72 𝑑𝑑 𝑑𝑑 ADP fbem-5586 94 73 𝛼𝐸 𝛼𝐸 NOUN fbem-5586 94 74 𝑑 𝑑 ADP fbem-5586 94 75 𝛾𝐼 𝛾𝐼 PROPN fbem-5586 94 76 𝑑 𝑑 X fbem-5586 94 77 πœ‡πΌ πœ‡πΌ ADJ fbem-5586 94 78 𝑑 𝑑 PROPN fbem-5586 94 79 𝑑𝑅 𝑑𝑅 PROPN fbem-5586 94 80 𝑑 𝑑 PROPN fbem-5586 94 81 𝑑𝑑 𝑑𝑑 ADP fbem-5586 94 82 𝛾𝐼 𝛾𝐼 PROPN fbem-5586 94 83 𝑑 𝑑 PROPN fbem-5586 94 84 πœ‡π‘… πœ‡π‘… PROPN fbem-5586 94 85 𝑑 𝑑 ADP fbem-5586 94 86 2 2 NUM fbem-5586 94 87 it it PRON fbem-5586 94 88 can can AUX fbem-5586 94 89 be be AUX fbem-5586 94 90 seen see VERB fbem-5586 94 91 from from ADP fbem-5586 94 92 the the DET fbem-5586 94 93 actual actual ADJ fbem-5586 94 94 situation situation NOUN fbem-5586 94 95 that that SCONJ fbem-5586 94 96 the the DET fbem-5586 94 97 four four NUM fbem-5586 94 98 groups group NOUN fbem-5586 94 99 of of ADP fbem-5586 94 100 s s PROPN fbem-5586 94 101 , , PUNCT fbem-5586 94 102 e e NOUN fbem-5586 94 103 , , PUNCT fbem-5586 94 104 i i PRON fbem-5586 94 105 and and CCONJ fbem-5586 94 106 r r NOUN fbem-5586 94 107 are be AUX fbem-5586 94 108 all all PRON fbem-5586 94 109 positive positive ADJ fbem-5586 94 110 numbers number NOUN fbem-5586 94 111 , , PUNCT fbem-5586 94 112 that that ADV fbem-5586 94 113 is is ADV fbem-5586 94 114 , , PUNCT fbem-5586 94 115 the the DET fbem-5586 94 116 initial initial ADJ fbem-5586 94 117 conditions condition NOUN fbem-5586 94 118 of of ADP fbem-5586 94 119 the the DET fbem-5586 94 120 system system NOUN fbem-5586 94 121 𝑆 𝑆 PROPN fbem-5586 94 122 𝑑 𝑑 PROPN fbem-5586 94 123 0、𝐸 0、𝐸 NOUN fbem-5586 94 124 𝑑 𝑑 X fbem-5586 94 125 0、𝐼 0、𝐼 NOUN fbem-5586 95 1 𝑑 𝑑 NOUN fbem-5586 95 2 0、𝑅 0、𝑅 NUM fbem-5586 95 3 𝑑 𝑑 X fbem-5586 95 4 0 0 NUM fbem-5586 95 5 . . PUNCT fbem-5586 96 1 its its PRON fbem-5586 96 2 state state NOUN fbem-5586 96 3 space space NOUN fbem-5586 96 4 Ο‰ Ο‰ PROPN fbem-5586 96 5 𝑆 𝑆 PROPN fbem-5586 96 6 𝑑 𝑑 PROPN fbem-5586 96 7 , , PUNCT fbem-5586 96 8 𝐸 𝐸 PROPN fbem-5586 96 9 𝑑 𝑑 PROPN fbem-5586 96 10 , , PUNCT fbem-5586 96 11 𝐼 𝐼 PROPN fbem-5586 96 12 𝑑 𝑑 PROPN fbem-5586 96 13 , , PUNCT fbem-5586 96 14 𝑅 𝑅 PROPN fbem-5586 96 15 𝑑 𝑑 PROPN fbem-5586 96 16 ： ： PUNCT fbem-5586 96 17 𝑆 𝑆 PROPN fbem-5586 96 18 𝑑 𝑑 PROPN fbem-5586 96 19 0、𝐸 0、𝐸 X fbem-5586 96 20 𝑑 𝑑 X fbem-5586 96 21 0、𝐼 0、𝐼 NOUN fbem-5586 96 22 𝑑 𝑑 NOUN fbem-5586 96 23 0、𝑅 0、𝑅 NUM fbem-5586 96 24 𝑑 𝑑 X fbem-5586 96 25 0 0 NUM fbem-5586 96 26 . . PUNCT fbem-5586 97 1 since since SCONJ fbem-5586 97 2 Ο‰ Ο‰ PROPN fbem-5586 97 3 is be AUX fbem-5586 97 4 a a DET fbem-5586 97 5 positive positive ADJ fbem-5586 97 6 invariant invariant ADJ fbem-5586 97 7 set set NOUN fbem-5586 97 8 , , PUNCT fbem-5586 97 9 we we PRON fbem-5586 97 10 only only ADV fbem-5586 97 11 need need VERB fbem-5586 97 12 to to PART fbem-5586 97 13 consider consider VERB fbem-5586 97 14 the the DET fbem-5586 97 15 solution solution NOUN fbem-5586 97 16 whose whose DET fbem-5586 97 17 initial initial ADJ fbem-5586 97 18 condition condition NOUN fbem-5586 97 19 is be AUX fbem-5586 97 20 in in ADP fbem-5586 97 21 Ο‰ Ο‰ PROPN fbem-5586 97 22 , , PUNCT fbem-5586 97 23 which which PRON fbem-5586 97 24 has have VERB fbem-5586 97 25 existence existence NOUN fbem-5586 97 26 and and CCONJ fbem-5586 97 27 uniqueness uniqueness NOUN fbem-5586 97 28 in in ADP fbem-5586 97 29 Ο‰ Ο‰ PROPN fbem-5586 97 30 . . PUNCT fbem-5586 98 1 equation equation NOUN fbem-5586 98 2 2 2 NUM fbem-5586 98 3 represents represent VERB fbem-5586 98 4 the the DET fbem-5586 98 5 relationship relationship NOUN fbem-5586 98 6 between between ADP fbem-5586 98 7 the the DET fbem-5586 98 8 number number NOUN fbem-5586 98 9 of of ADP fbem-5586 98 10 enterprises enterprise NOUN fbem-5586 98 11 in in ADP fbem-5586 98 12 each each DET fbem-5586 98 13 risk risk NOUN fbem-5586 98 14 state state NOUN fbem-5586 98 15 and and CCONJ fbem-5586 98 16 time time NOUN fbem-5586 98 17 t. t. PROPN fbem-5586 98 18 n n PRON fbem-5586 98 19 represents represent VERB fbem-5586 98 20 the the DET fbem-5586 98 21 total total ADJ fbem-5586 98 22 number number NOUN fbem-5586 98 23 of of ADP fbem-5586 98 24 enterprises enterprise NOUN fbem-5586 98 25 in in ADP fbem-5586 98 26 the the DET fbem-5586 98 27 supply supply NOUN fbem-5586 98 28 chain chain NOUN fbem-5586 98 29 network network NOUN fbem-5586 98 30 at at ADP fbem-5586 98 31 time time NOUN fbem-5586 98 32 t t PROPN fbem-5586 98 33 , , PUNCT fbem-5586 98 34 0 0 NUM fbem-5586 98 35 𝛼、𝛽、𝛾 𝛼、𝛽、𝛾 NUM fbem-5586 98 36 , , PUNCT fbem-5586 98 37 πœ‡ πœ‡ ADP fbem-5586 98 38 1 1 NUM fbem-5586 98 39 , , PUNCT fbem-5586 98 40 adding add VERB fbem-5586 98 41 the the DET fbem-5586 98 42 four four NUM fbem-5586 98 43 formulas formula NOUN fbem-5586 98 44 in in ADP fbem-5586 98 45 ( ( PUNCT fbem-5586 98 46 ) ) PUNCT fbem-5586 98 47 ( ( PUNCT fbem-5586 98 48 ) ) PUNCT fbem-5586 98 49 ( ( PUNCT fbem-5586 98 50 ) ) PUNCT fbem-5586 98 51 ( ( PUNCT fbem-5586 98 52 ) ) PUNCT fbem-5586 98 53 n n X fbem-5586 98 54 s s PROPN fbem-5586 98 55 t t NOUN fbem-5586 98 56 e e NOUN fbem-5586 98 57 t t NOUN fbem-5586 99 1 i i PRON fbem-5586 99 2 t t X fbem-5586 99 3 r r VERB fbem-5586 99 4 tο€½ tο€½ PROPN fbem-5586 99 5   ADV fbem-5586 99 6   ADV fbem-5586 99 7   PUNCT fbem-5586 99 8 , , PUNCT fbem-5586 99 9 to to PART fbem-5586 99 10 obtain obtain VERB fbem-5586 99 11 0 0 NUM fbem-5586 99 12 . . PUNCT fbem-5586 100 1 2.3 2.3 NUM fbem-5586 100 2 . . X fbem-5586 101 1 zero zero NUM fbem-5586 101 2 equilibrium equilibrium NOUN fbem-5586 101 3 and and CCONJ fbem-5586 101 4 non non ADJ fbem-5586 101 5 - - ADJ fbem-5586 101 6 zero zero NUM fbem-5586 101 7 equilibrium equilibrium NOUN fbem-5586 101 8 chain chain NOUN fbem-5586 101 9 network network NOUN fbem-5586 101 10 , , PUNCT fbem-5586 101 11 at at ADP fbem-5586 101 12 t=0 t=0 VERB fbem-5586 101 13 , , PUNCT fbem-5586 101 14 nodal nodal ADJ fbem-5586 101 15 enterprises enterprise NOUN fbem-5586 101 16 with with ADP fbem-5586 101 17 the the DET fbem-5586 101 18 number number NOUN fbem-5586 101 19 of of ADP fbem-5586 101 20 𝐼 𝐼 PROPN fbem-5586 101 21 are be AUX fbem-5586 101 22 infected infect VERB fbem-5586 101 23 by by ADP fbem-5586 101 24 the the DET fbem-5586 101 25 risk risk NOUN fbem-5586 101 26 and and CCONJ fbem-5586 101 27 become become VERB fbem-5586 101 28 the the DET fbem-5586 101 29 source source NOUN fbem-5586 101 30 of of ADP fbem-5586 101 31 infection infection NOUN fbem-5586 101 32 . . PUNCT fbem-5586 102 1 meanwhile meanwhile ADV fbem-5586 102 2 , , PUNCT fbem-5586 102 3 the the DET fbem-5586 102 4 infection infection NOUN fbem-5586 102 5 risk risk NOUN fbem-5586 102 6 spreads spread VERB fbem-5586 102 7 along along ADP fbem-5586 102 8 the the DET fbem-5586 102 9 risk risk NOUN fbem-5586 102 10 - - PUNCT fbem-5586 102 11 prone prone ADJ fbem-5586 102 12 enterprises enterprise NOUN fbem-5586 102 13 associated associate VERB fbem-5586 102 14 upstream upstream ADJ fbem-5586 102 15 and and CCONJ fbem-5586 102 16 downstream downstream NOUN fbem-5586 102 17 of of ADP fbem-5586 102 18 the the DET fbem-5586 102 19 supply supply NOUN fbem-5586 102 20 chain chain NOUN fbem-5586 102 21 network network NOUN fbem-5586 102 22 according accord VERB fbem-5586 102 23 to to ADP fbem-5586 102 24 a a DET fbem-5586 102 25 certain certain ADJ fbem-5586 102 26 conversion conversion NOUN fbem-5586 102 27 rate rate NOUN fbem-5586 102 28 . . PUNCT fbem-5586 103 1 in in ADP fbem-5586 103 2 system system NOUN fbem-5586 103 3 dynamics dynamic NOUN fbem-5586 103 4 , , PUNCT fbem-5586 103 5 the the DET fbem-5586 103 6 equilibrium equilibrium NOUN fbem-5586 103 7 point point NOUN fbem-5586 103 8 and and CCONJ fbem-5586 103 9 its its PRON fbem-5586 103 10 stability stability NOUN fbem-5586 103 11 theory theory NOUN fbem-5586 103 12 are be AUX fbem-5586 103 13 often often ADV fbem-5586 103 14 used use VERB fbem-5586 103 15 to to PART fbem-5586 103 16 study study VERB fbem-5586 103 17 the the DET fbem-5586 103 18 trend trend NOUN fbem-5586 103 19 and and CCONJ fbem-5586 103 20 characteristics characteristic NOUN fbem-5586 103 21 of of ADP fbem-5586 103 22 differential differential ADJ fbem-5586 103 23 equations equation NOUN fbem-5586 103 24 . . PUNCT fbem-5586 104 1 the the DET fbem-5586 104 2 equilibrium equilibrium NOUN fbem-5586 104 3 point point NOUN fbem-5586 104 4 of of ADP fbem-5586 104 5 the the DET fbem-5586 104 6 equation equation NOUN fbem-5586 104 7 set set VERB fbem-5586 104 8 2 2 NUM fbem-5586 104 9 in in ADP fbem-5586 104 10 this this DET fbem-5586 104 11 paper paper NOUN fbem-5586 104 12 means mean VERB fbem-5586 104 13 that that SCONJ fbem-5586 104 14 in in ADP fbem-5586 104 15 the the DET fbem-5586 104 16 final final ADJ fbem-5586 104 17 state state NOUN fbem-5586 104 18 of of ADP fbem-5586 104 19 risk risk NOUN fbem-5586 104 20 propagation propagation NOUN fbem-5586 104 21 and and CCONJ fbem-5586 104 22 evolution evolution NOUN fbem-5586 104 23 , , PUNCT fbem-5586 104 24 the the DET fbem-5586 104 25 system system NOUN fbem-5586 104 26 is be AUX fbem-5586 104 27 in in ADP fbem-5586 104 28 an an DET fbem-5586 104 29 equilibrium equilibrium NOUN fbem-5586 104 30 state state NOUN fbem-5586 104 31 , , PUNCT fbem-5586 104 32 that that ADV fbem-5586 104 33 is is ADV fbem-5586 104 34 , , PUNCT fbem-5586 104 35 the the DET fbem-5586 104 36 number number NOUN fbem-5586 104 37 of of ADP fbem-5586 104 38 enterprises enterprise NOUN fbem-5586 104 39 in in ADP fbem-5586 104 40 the the DET fbem-5586 104 41 four four NUM fbem-5586 104 42 risk risk NOUN fbem-5586 104 43 states state NOUN fbem-5586 104 44 will will AUX fbem-5586 104 45 no no ADV fbem-5586 104 46 longer long ADV fbem-5586 104 47 change change VERB fbem-5586 104 48 . . PUNCT fbem-5586 105 1 then then ADV fbem-5586 105 2 , , PUNCT fbem-5586 105 3 if if SCONJ fbem-5586 105 4 the the DET fbem-5586 105 5 terms term NOUN fbem-5586 105 6 of of ADP fbem-5586 105 7 the the DET fbem-5586 105 8 equation equation NOUN fbem-5586 105 9 2 2 NUM fbem-5586 105 10 are be AUX fbem-5586 105 11 equal equal ADJ fbem-5586 105 12 to to ADP fbem-5586 105 13 0 0 NUM fbem-5586 105 14 , , PUNCT fbem-5586 105 15 it it PRON fbem-5586 105 16 can can AUX fbem-5586 105 17 be be AUX fbem-5586 105 18 obtained obtain VERB fbem-5586 105 19 ⎩ ⎩ NUM fbem-5586 105 20 βŽͺ βŽͺ NOUN fbem-5586 105 21 βŽͺ βŽͺ NOUN fbem-5586 105 22 βŽͺ βŽͺ NOUN fbem-5586 105 23 ⎨ ⎨ PROPN fbem-5586 105 24 βŽͺ βŽͺ NOUN fbem-5586 105 25 βŽͺ βŽͺ NOUN fbem-5586 105 26 βŽͺ βŽͺ NOUN fbem-5586 105 27 ⎧ ⎧ PROPN fbem-5586 105 28 𝑑𝑆 𝑑𝑆 PROPN fbem-5586 105 29 𝑑 𝑑 PROPN fbem-5586 105 30 𝑑𝑑 𝑑𝑑 ADP fbem-5586 105 31 πœ‡π‘ πœ‡π‘ NOUN fbem-5586 105 32 𝑑 𝑑 PROPN fbem-5586 105 33 𝛽𝑆 𝛽𝑆 PROPN fbem-5586 105 34 𝑑 𝑑 X fbem-5586 105 35 𝐼 𝐼 ADP fbem-5586 105 36 𝑑 𝑑 PROPN fbem-5586 105 37 𝑁 𝑁 PROPN fbem-5586 105 38 𝑑 𝑑 NOUN fbem-5586 105 39 πœ‡π‘† πœ‡π‘† NOUN fbem-5586 105 40 𝑑 𝑑 PROPN fbem-5586 105 41 0 0 PUNCT fbem-5586 105 42 𝑑𝐸 𝑑𝐸 PROPN fbem-5586 105 43 𝑑 𝑑 PROPN fbem-5586 105 44 𝑑𝑑 𝑑𝑑 ADP fbem-5586 105 45 𝛽𝑆 𝛽𝑆 PROPN fbem-5586 105 46 𝑑 𝑑 PROPN fbem-5586 105 47 𝐼 𝐼 PROPN fbem-5586 105 48 𝑑 𝑑 PROPN fbem-5586 105 49 𝑁 𝑁 PROPN fbem-5586 105 50 𝑑 𝑑 NOUN fbem-5586 105 51 𝛼𝐸 𝛼𝐸 NOUN fbem-5586 105 52 𝑑 𝑑 PROPN fbem-5586 105 53 πœ‡πΈ πœ‡πΈ PROPN fbem-5586 105 54 𝑑 𝑑 PROPN fbem-5586 105 55 0 0 PROPN fbem-5586 105 56 𝑑𝐼 𝑑𝐼 NOUN fbem-5586 105 57 𝑑 𝑑 NOUN fbem-5586 105 58 𝑑𝑑 𝑑𝑑 ADP fbem-5586 105 59 𝛼𝐸 𝛼𝐸 NOUN fbem-5586 105 60 𝑑 𝑑 ADP fbem-5586 105 61 𝛾𝐼 𝛾𝐼 PROPN fbem-5586 105 62 𝑑 𝑑 X fbem-5586 105 63 πœ‡πΌ πœ‡πΌ ADJ fbem-5586 105 64 𝑑 𝑑 PROPN fbem-5586 105 65 0 0 NUM fbem-5586 105 66 𝑑𝑅 𝑑𝑅 PROPN fbem-5586 105 67 𝑑 𝑑 NOUN fbem-5586 105 68 𝑑𝑑 𝑑𝑑 ADP fbem-5586 105 69 𝛾𝐼 𝛾𝐼 PROPN fbem-5586 105 70 𝑑 𝑑 PROPN fbem-5586 105 71 πœ‡π‘… πœ‡π‘… PROPN fbem-5586 105 72 𝑑 𝑑 X fbem-5586 105 73 0 0 NUM fbem-5586 105 74 3 3 NUM fbem-5586 105 75 the the DET fbem-5586 105 76 solution solution NOUN fbem-5586 105 77 of of ADP fbem-5586 105 78 the the DET fbem-5586 105 79 formula formula NOUN fbem-5586 105 80 3 3 NUM fbem-5586 105 81 is be AUX fbem-5586 105 82 the the DET fbem-5586 105 83 balance balance NOUN fbem-5586 105 84 point point NOUN fbem-5586 105 85 of of ADP fbem-5586 105 86 risk risk NOUN fbem-5586 105 87 transmission transmission NOUN fbem-5586 105 88 . . PUNCT fbem-5586 106 1 in in ADP fbem-5586 106 2 the the DET fbem-5586 106 3 formula formula NOUN fbem-5586 106 4 3 3 NUM fbem-5586 106 5 , , PUNCT fbem-5586 106 6 if if SCONJ fbem-5586 106 7 e=0 e=0 PROPN fbem-5586 106 8 and and CCONJ fbem-5586 106 9 i=0 i=0 PROPN fbem-5586 106 10 , , PUNCT fbem-5586 106 11 the the DET fbem-5586 106 12 zero zero NUM fbem-5586 106 13 equilibrium equilibrium NOUN fbem-5586 106 14 𝑃 𝑃 NOUN fbem-5586 106 15 can can AUX fbem-5586 106 16 be be AUX fbem-5586 106 17 calculated calculate VERB fbem-5586 106 18 as as ADP fbem-5586 106 19 𝑃 𝑃 PROPN fbem-5586 106 20 s s PRON fbem-5586 106 21 , , PUNCT fbem-5586 106 22 e e X fbem-5586 106 23 , , PUNCT fbem-5586 106 24 i i PRON fbem-5586 106 25 , , PUNCT fbem-5586 106 26 r r NOUN fbem-5586 106 27 𝑁 𝑁 PROPN fbem-5586 106 28 , , PUNCT fbem-5586 106 29 0,0,0 0,0,0 NOUN fbem-5586 106 30 4 4 NUM fbem-5586 106 31 in in ADP fbem-5586 106 32 the the DET fbem-5586 106 33 formula formula NOUN fbem-5586 106 34 3 3 NUM fbem-5586 106 35 , , PUNCT fbem-5586 106 36 if if SCONJ fbem-5586 106 37 𝐸 𝐸 PROPN fbem-5586 106 38 0 0 NUM fbem-5586 106 39 , , PUNCT fbem-5586 106 40 𝐼 𝐼 PROPN fbem-5586 106 41 0 0 NUM fbem-5586 106 42 , , PUNCT fbem-5586 106 43 calculate calculate VERB fbem-5586 106 44 the the DET fbem-5586 106 45 nonzero nonzero PROPN fbem-5586 106 46 equilibrium equilibrium NOUN fbem-5586 106 47 point point NOUN fbem-5586 106 48 π‘ƒβˆ— π‘ƒβˆ— VERB fbem-5586 106 49 π‘†βˆ— π‘†βˆ— X fbem-5586 106 50 , , PUNCT fbem-5586 106 51 πΈβˆ— πΈβˆ— NOUN fbem-5586 106 52 , , PUNCT fbem-5586 106 53 πΌβˆ— πΌβˆ— PROPN fbem-5586 106 54 , , PUNCT fbem-5586 106 55 π‘…βˆ— π‘…βˆ— NUM fbem-5586 106 56 , , PUNCT fbem-5586 106 57 where where SCONJ fbem-5586 106 58 π‘†βˆ— π‘†βˆ— PROPN fbem-5586 106 59 𝑁 𝑁 NOUN fbem-5586 106 60 𝛼 𝛼 NOUN fbem-5586 106 61 πœ‡ πœ‡ ADP fbem-5586 106 62 πœ‡ πœ‡ ADP fbem-5586 106 63 𝛾 𝛾 PROPN fbem-5586 106 64 𝛼𝛽 𝛼𝛽 NOUN fbem-5586 106 65 5 5 NUM fbem-5586 106 66 πΈβˆ— πΈβˆ— NOUN fbem-5586 106 67 π‘πœ‡ π‘πœ‡ NOUN fbem-5586 106 68 πœ‡ πœ‡ ADP fbem-5586 106 69 𝛾 𝛾 ADP fbem-5586 106 70 𝛼 𝛼 NOUN fbem-5586 106 71 πœ‡ πœ‡ ADP fbem-5586 106 72 𝛾 𝛾 PROPN fbem-5586 106 73 𝛽 𝛽 NOUN fbem-5586 106 74 𝛼 𝛼 SYM fbem-5586 106 75 𝛾 𝛾 NOUN fbem-5586 106 76 𝛼𝛽 𝛼𝛽 NOUN fbem-5586 106 77 𝛼 𝛼 PRON fbem-5586 106 78 πœ‡ πœ‡ ADP fbem-5586 106 79 6 6 NUM fbem-5586 106 80 πΌβˆ— πΌβˆ— NOUN fbem-5586 106 81 π‘πœ‡ π‘πœ‡ NOUN fbem-5586 106 82 𝛼𝛽 𝛼𝛽 NOUN fbem-5586 106 83 πœ‡ πœ‡ ADP fbem-5586 106 84 𝛾 𝛾 NOUN fbem-5586 106 85 𝛼 𝛼 PRON fbem-5586 106 86 πœ‡ πœ‡ X fbem-5586 106 87 𝛾𝛼 𝛾𝛼 ADP fbem-5586 106 88 𝛽 𝛽 NOUN fbem-5586 106 89 𝛼 𝛼 PART fbem-5586 106 90 πœ‡ πœ‡ ADP fbem-5586 106 91 πœ‡ πœ‡ ADP fbem-5586 106 92 𝛾 𝛾 PROPN fbem-5586 106 93 7 7 NUM fbem-5586 106 94 π‘…βˆ— π‘…βˆ— NOUN fbem-5586 106 95 𝑁 𝑁 NOUN fbem-5586 106 96 𝛼𝛽 𝛼𝛽 NOUN fbem-5586 106 97 πœ‡ πœ‡ ADP fbem-5586 106 98 𝛾 𝛾 NOUN fbem-5586 106 99 𝛼 𝛼 PRON fbem-5586 106 100 πœ‡ πœ‡ X fbem-5586 106 101 𝛾𝛼 𝛾𝛼 ADP fbem-5586 106 102 πœ‡ πœ‡ X fbem-5586 106 103 𝛾𝛼 𝛾𝛼 ADP fbem-5586 106 104 𝛽 𝛽 NOUN fbem-5586 106 105 𝛼 𝛼 PART fbem-5586 106 106 πœ‡ πœ‡ X fbem-5586 106 107 πœ‡ πœ‡ ADP fbem-5586 106 108 𝛾 𝛾 NOUN fbem-5586 106 109 𝛼 𝛼 X fbem-5586 106 110 8 8 NUM fbem-5586 106 111 2.4 2.4 NUM fbem-5586 106 112 . . PUNCT fbem-5586 107 1 basic basic ADJ fbem-5586 107 2 regeneration regeneration NOUN fbem-5586 107 3 numberl(π‘ΉπŸŽ numberl(π‘ΉπŸŽ NOUN fbem-5586 107 4 ) ) PUNCT fbem-5586 108 1 in in ADP fbem-5586 108 2 the the DET fbem-5586 108 3 infectious infectious ADJ fbem-5586 108 4 disease disease NOUN fbem-5586 108 5 model model NOUN fbem-5586 108 6 , , PUNCT fbem-5586 108 7 the the DET fbem-5586 108 8 basic basic ADJ fbem-5586 108 9 regeneration regeneration NOUN fbem-5586 108 10 number number NOUN fbem-5586 108 11 𝑅 𝑅 PROPN fbem-5586 108 12 [ [ NOUN fbem-5586 108 13 15 15 NUM fbem-5586 108 14 ] ] PUNCT fbem-5586 108 15 refers refer VERB fbem-5586 108 16 to to ADP fbem-5586 108 17 the the DET fbem-5586 108 18 average average ADJ fbem-5586 108 19 number number NOUN fbem-5586 108 20 of of ADP fbem-5586 108 21 individuals individual NOUN fbem-5586 108 22 infected infect VERB fbem-5586 108 23 by by ADP fbem-5586 108 24 an an DET fbem-5586 108 25 infected infected ADJ fbem-5586 108 26 individual individual NOUN fbem-5586 108 27 in in ADP fbem-5586 108 28 the the DET fbem-5586 108 29 average average ADJ fbem-5586 108 30 infection infection NOUN fbem-5586 108 31 period period NOUN fbem-5586 108 32 , , PUNCT fbem-5586 108 33 which which PRON fbem-5586 108 34 is be AUX fbem-5586 108 35 the the DET fbem-5586 108 36 threshold threshold NOUN fbem-5586 108 37 to to PART fbem-5586 108 38 judge judge VERB fbem-5586 108 39 whether whether SCONJ fbem-5586 108 40 the the DET fbem-5586 108 41 infectious infectious ADJ fbem-5586 108 42 disease disease NOUN fbem-5586 108 43 will will AUX fbem-5586 108 44 die die VERB fbem-5586 108 45 out out ADP fbem-5586 108 46 . . PUNCT fbem-5586 109 1 in in ADP fbem-5586 109 2 this this DET fbem-5586 109 3 paper paper NOUN fbem-5586 109 4 , , PUNCT fbem-5586 109 5 the the DET fbem-5586 109 6 basic basic ADJ fbem-5586 109 7 regeneration regeneration NOUN fbem-5586 109 8 number number NOUN fbem-5586 109 9 refers refer VERB fbem-5586 109 10 to to ADP fbem-5586 109 11 the the DET fbem-5586 109 12 average average ADJ fbem-5586 109 13 number number NOUN fbem-5586 109 14 of of ADP fbem-5586 109 15 enterprises enterprise NOUN fbem-5586 109 16 infected infect VERB fbem-5586 109 17 by by ADP fbem-5586 109 18 a a DET fbem-5586 109 19 risky risky ADJ fbem-5586 109 20 enterprise enterprise NOUN fbem-5586 109 21 when when SCONJ fbem-5586 109 22 all all DET fbem-5586 109 23 enterprise enterprise NOUN fbem-5586 109 24 nodes node NOUN fbem-5586 109 25 are be AUX fbem-5586 109 26 vulnerable vulnerable ADJ fbem-5586 109 27 to to AUX fbem-5586 109 28 risk risk VERB fbem-5586 109 29 infection infection NOUN fbem-5586 109 30 at at ADP fbem-5586 109 31 the the DET fbem-5586 109 32 initial initial ADJ fbem-5586 109 33 stage stage NOUN fbem-5586 109 34 of of ADP fbem-5586 109 35 risk risk NOUN fbem-5586 109 36 transmission transmission NOUN fbem-5586 109 37 in in ADP fbem-5586 109 38 the the DET fbem-5586 109 39 entire entire ADJ fbem-5586 109 40 supply supply NOUN fbem-5586 109 41 chain chain NOUN fbem-5586 109 42 network network NOUN fbem-5586 109 43 . . PUNCT fbem-5586 110 1 𝑅 𝑅 NOUN fbem-5586 110 2 1 1 NUM fbem-5586 110 3 is be AUX fbem-5586 110 4 the the DET fbem-5586 110 5 threshold threshold NOUN fbem-5586 110 6 to to PART fbem-5586 110 7 distinguish distinguish VERB fbem-5586 110 8 risk risk NOUN fbem-5586 110 9 transmission transmission NOUN fbem-5586 110 10 and and CCONJ fbem-5586 110 11 determine determine VERB fbem-5586 110 12 whether whether SCONJ fbem-5586 110 13 the the DET fbem-5586 110 14 result result NOUN fbem-5586 110 15 of of ADP fbem-5586 110 16 risk risk NOUN fbem-5586 110 17 transmission transmission NOUN fbem-5586 110 18 is be AUX fbem-5586 110 19 at at ADP fbem-5586 110 20 zero zero NUM fbem-5586 110 21 equilibrium equilibrium NOUN fbem-5586 110 22 point point NOUN fbem-5586 110 23 or or CCONJ fbem-5586 110 24 non non ADJ fbem-5586 110 25 - - ADJ fbem-5586 110 26 zero zero NUM fbem-5586 110 27 equilibrium equilibrium NOUN fbem-5586 110 28 point point NOUN fbem-5586 110 29 . . PUNCT fbem-5586 111 1 when when SCONJ fbem-5586 111 2 𝑅 𝑅 PROPN fbem-5586 111 3 ＜1 ＜1 PROPN fbem-5586 111 4 , , PUNCT fbem-5586 111 5 it it PRON fbem-5586 111 6 indicates indicate VERB fbem-5586 111 7 that that SCONJ fbem-5586 111 8 risk risk NOUN fbem-5586 111 9 will will AUX fbem-5586 111 10 gradually gradually ADV fbem-5586 111 11 disappear disappear VERB fbem-5586 111 12 in in ADP fbem-5586 111 13 the the DET fbem-5586 111 14 supply supply NOUN fbem-5586 111 15 chain chain NOUN fbem-5586 111 16 network network NOUN fbem-5586 111 17 . . PUNCT fbem-5586 112 1 on on ADP fbem-5586 112 2 the the DET fbem-5586 112 3 contrary contrary NOUN fbem-5586 112 4 , , PUNCT fbem-5586 112 5 when when SCONJ fbem-5586 112 6 𝑅 𝑅 PROPN fbem-5586 112 7 ＞1 ＞1 PROPN fbem-5586 112 8 , , PUNCT fbem-5586 112 9 the the DET fbem-5586 112 10 risk risk NOUN fbem-5586 112 11 will will AUX fbem-5586 112 12 always always ADV fbem-5586 112 13 exist exist VERB fbem-5586 112 14 and and CCONJ fbem-5586 112 15 can can AUX fbem-5586 112 16 not not PART fbem-5586 112 17 be be AUX fbem-5586 112 18 eliminated eliminate VERB fbem-5586 112 19 . . PUNCT fbem-5586 113 1 in in ADP fbem-5586 113 2 this this DET fbem-5586 113 3 paper paper NOUN fbem-5586 113 4 , , PUNCT fbem-5586 113 5 the the DET fbem-5586 113 6 " " PUNCT fbem-5586 113 7 next next ADJ fbem-5586 113 8 generation generation NOUN fbem-5586 113 9 matrix matrix NOUN fbem-5586 113 10 method method NOUN fbem-5586 113 11 " " PUNCT fbem-5586 113 12 [ [ X fbem-5586 113 13 16 16 NUM fbem-5586 113 14 ] ] PUNCT fbem-5586 113 15 is be AUX fbem-5586 113 16 adopted adopt VERB fbem-5586 113 17 to to PART fbem-5586 113 18 isolate isolate VERB fbem-5586 113 19 the the DET fbem-5586 113 20 newly newly ADV fbem-5586 113 21 infected infect VERB fbem-5586 113 22 population population NOUN fbem-5586 113 23 and and CCONJ fbem-5586 113 24 calculate calculate VERB fbem-5586 113 25 the the DET fbem-5586 113 26 basic basic ADJ fbem-5586 113 27 regeneration regeneration NOUN fbem-5586 113 28 number number NOUN fbem-5586 113 29 𝑅 𝑅 PROPN fbem-5586 113 30 according accord VERB fbem-5586 113 31 to to ADP fbem-5586 113 32 the the DET fbem-5586 113 33 system system NOUN fbem-5586 113 34 dynamics dynamic NOUN fbem-5586 113 35 model model NOUN fbem-5586 113 36 2 2 NUM fbem-5586 113 37 , , PUNCT fbem-5586 113 38 denoted denote VERB fbem-5586 113 39 p={(s p={(s PROPN fbem-5586 113 40 , , PUNCT fbem-5586 113 41 e e NOUN fbem-5586 113 42 , , PUNCT fbem-5586 113 43 i i PRON fbem-5586 113 44 , , PUNCT fbem-5586 113 45 r)}^t r)}^t PROPN fbem-5586 113 46 , , PUNCT fbem-5586 113 47 then then ADV fbem-5586 113 48 the the DET fbem-5586 113 49 formula formula NOUN fbem-5586 113 50 2 2 NUM fbem-5586 113 51 can can AUX fbem-5586 113 52 be be AUX fbem-5586 113 53 abbreviated abbreviate VERB fbem-5586 113 54 as as ADP fbem-5586 113 55 𝑑𝑃 𝑑𝑃 NOUN fbem-5586 113 56 𝑑𝑑 𝑑𝑑 ADP fbem-5586 113 57 𝐹 𝐹 PROPN fbem-5586 113 58 𝑋 𝑋 PROPN fbem-5586 113 59 𝑉 𝑉 PROPN fbem-5586 113 60 𝑋 𝑋 NOUN fbem-5586 113 61 9 9 NUM fbem-5586 113 62 𝐹 𝐹 PROPN fbem-5586 113 63 𝑋 𝑋 PROPN fbem-5586 113 64 δΈŽπ‘‰ δΈŽπ‘‰ NOUN fbem-5586 113 65 𝑋 𝑋 PROPN fbem-5586 113 66 εˆ†εˆ«δΈΊ εˆ†εˆ«δΈΊ NOUN fbem-5586 113 67 𝐹 𝐹 PROPN fbem-5586 113 68 𝑋 𝑋 PROPN fbem-5586 113 69 ⎣ ⎣ ADV fbem-5586 113 70 ⎒ ⎒ NOUN fbem-5586 113 71 ⎒ ⎒ NOUN fbem-5586 113 72 ⎒ ⎒ NOUN fbem-5586 113 73 ⎑ ⎑ NOUN fbem-5586 113 74 0 0 NUM fbem-5586 113 75 𝛽𝑆 𝛽𝑆 PROPN fbem-5586 113 76 𝑑 𝑑 X fbem-5586 113 77 𝐼 𝐼 PROPN fbem-5586 113 78 𝑑 𝑑 X fbem-5586 113 79 𝑁 𝑁 NOUN fbem-5586 113 80 0 0 NUM fbem-5586 113 81 0 0 NUM fbem-5586 114 1 ⎦ ⎦ NOUN fbem-5586 114 2 βŽ₯ βŽ₯ PROPN fbem-5586 114 3 βŽ₯ βŽ₯ PROPN fbem-5586 114 4 βŽ₯ βŽ₯ PROPN fbem-5586 114 5 ⎀ ⎀ PROPN fbem-5586 114 6 𝑉 𝑉 PROPN fbem-5586 114 7 𝑋 𝑋 PROPN fbem-5586 114 8 ⎣ ⎣ ADV fbem-5586 114 9 ⎒ ⎒ NOUN fbem-5586 114 10 ⎒ ⎒ NOUN fbem-5586 114 11 ⎒ ⎒ NOUN fbem-5586 114 12 ⎒ ⎒ NOUN fbem-5586 114 13 ⎑ ⎑ NOUN fbem-5586 114 14 πœ‡π‘ πœ‡π‘ NOUN fbem-5586 114 15 𝑑 𝑑 PROPN fbem-5586 114 16 𝛽𝑆 𝛽𝑆 PROPN fbem-5586 114 17 𝑑 𝑑 X fbem-5586 114 18 𝐼 𝐼 ADP fbem-5586 114 19 𝑑 𝑑 PROPN fbem-5586 114 20 𝑁 𝑁 PROPN fbem-5586 114 21 𝑑 𝑑 PROPN fbem-5586 114 22 πœ‡π‘† πœ‡π‘† PROPN fbem-5586 114 23 𝑑 𝑑 PROPN fbem-5586 114 24 𝛼𝐸 𝛼𝐸 PROPN fbem-5586 114 25 𝑑 𝑑 PROPN fbem-5586 114 26 πœ‡πΈ πœ‡πΈ PROPN fbem-5586 114 27 𝑑 𝑑 PROPN fbem-5586 114 28 𝛼𝐸 𝛼𝐸 PROPN fbem-5586 114 29 𝑑 𝑑 ADP fbem-5586 114 30 𝛾𝐼 𝛾𝐼 PROPN fbem-5586 114 31 𝑑 𝑑 X fbem-5586 114 32 πœ‡πΌ πœ‡πΌ ADJ fbem-5586 114 33 𝑑 𝑑 ADP fbem-5586 114 34 𝛾𝐼 𝛾𝐼 PROPN fbem-5586 114 35 𝑑 𝑑 PROPN fbem-5586 114 36 πœ‡π‘… πœ‡π‘… PROPN fbem-5586 114 37 𝑑 𝑑 PROPN fbem-5586 114 38 ⎦ ⎦ NOUN fbem-5586 114 39 βŽ₯ βŽ₯ PROPN fbem-5586 114 40 βŽ₯ βŽ₯ PROPN fbem-5586 114 41 βŽ₯ βŽ₯ PROPN fbem-5586 114 42 βŽ₯ βŽ₯ PROPN fbem-5586 114 43 ⎀ ⎀ PROPN fbem-5586 114 44 10 10 NUM fbem-5586 114 45 𝐹 𝐹 PROPN fbem-5586 114 46 𝑋 𝑋 PROPN fbem-5586 114 47 represents represent VERB fbem-5586 114 48 the the DET fbem-5586 114 49 number number NOUN fbem-5586 114 50 of of ADP fbem-5586 114 51 newly newly ADV fbem-5586 114 52 infected infect VERB fbem-5586 114 53 enterprises enterprise NOUN fbem-5586 114 54 among among ADP fbem-5586 114 55 the the DET fbem-5586 114 56 four four NUM fbem-5586 114 57 risk risk NOUN fbem-5586 114 58 types type NOUN fbem-5586 114 59 of of ADP fbem-5586 114 60 enterprises enterprise NOUN fbem-5586 114 61 . . PUNCT fbem-5586 115 1 since since SCONJ fbem-5586 115 2 only only ADV fbem-5586 115 3 category category NOUN fbem-5586 115 4 e e NOUN fbem-5586 115 5 and and CCONJ fbem-5586 115 6 category category NOUN fbem-5586 115 7 i i PRON fbem-5586 115 8 contain contain VERB fbem-5586 115 9 infected infected ADJ fbem-5586 115 10 companies company NOUN fbem-5586 115 11 , , PUNCT fbem-5586 115 12 the the DET fbem-5586 115 13 government government NOUN fbem-5586 115 14 ordered order VERB fbem-5586 115 15 𝐹 𝐹 PROPN fbem-5586 115 16 𝑋 𝑋 PROPN fbem-5586 115 17 𝛽𝑆 𝛽𝑆 PROPN fbem-5586 115 18 𝑑 𝑑 PROPN fbem-5586 115 19 𝐼 𝐼 ADP fbem-5586 115 20 𝑑 𝑑 X fbem-5586 115 21 𝑁 𝑁 PROPN fbem-5586 115 22 𝑑 𝑑 PROPN fbem-5586 115 23 0 0 PUNCT fbem-5586 115 24 𝑉 𝑉 PROPN fbem-5586 115 25 𝑋 𝑋 PROPN fbem-5586 115 26 𝛼𝐸 𝛼𝐸 NOUN fbem-5586 115 27 𝑑 𝑑 PROPN fbem-5586 115 28 πœ‡πΈ πœ‡πΈ PROPN fbem-5586 115 29 𝑑 𝑑 PROPN fbem-5586 115 30 𝛼𝐸 𝛼𝐸 PROPN fbem-5586 115 31 𝑑 𝑑 ADP fbem-5586 115 32 𝛾𝐼 𝛾𝐼 PROPN fbem-5586 115 33 𝑑 𝑑 X fbem-5586 115 34 πœ‡πΌ πœ‡πΌ ADJ fbem-5586 115 35 𝑑 𝑑 ADP fbem-5586 115 36 11 11 NUM fbem-5586 115 37 248 248 NUM fbem-5586 115 38 compute compute NOUN fbem-5586 115 39 the the DET fbem-5586 115 40 jacobian jacobian ADJ fbem-5586 115 41 matrix matrix NOUN fbem-5586 115 42 of of ADP fbem-5586 115 43 𝐹 𝐹 PROPN fbem-5586 115 44 𝑋 𝑋 PROPN fbem-5586 115 45 and and CCONJ fbem-5586 115 46 𝑉 𝑉 PROPN fbem-5586 115 47 𝑋 𝑋 NOUN fbem-5586 115 48 and and CCONJ fbem-5586 115 49 substitute substitute VERB fbem-5586 115 50 the the DET fbem-5586 115 51 values value NOUN fbem-5586 115 52 of of ADP fbem-5586 115 53 the the DET fbem-5586 115 54 zero zero NUM fbem-5586 115 55 equilibrium equilibrium NOUN fbem-5586 115 56 point point NOUN fbem-5586 115 57 𝑃 𝑃 NOUN fbem-5586 115 58 into into ADP fbem-5586 115 59 the the DET fbem-5586 115 60 jacobian jacobian ADJ fbem-5586 115 61 matrix matrix NOUN fbem-5586 115 62 of of ADP fbem-5586 115 63 the the DET fbem-5586 115 64 sum sum NOUN fbem-5586 115 65 𝐹 𝐹 PROPN fbem-5586 115 66 0 0 NUM fbem-5586 116 1 𝛽 𝛽 NOUN fbem-5586 116 2 0 0 NUM fbem-5586 116 3 0 0 NUM fbem-5586 116 4 𝑉 𝑉 PROPN fbem-5586 116 5 𝛼 𝛼 NOUN fbem-5586 116 6 πœ‡ πœ‡ ADP fbem-5586 116 7 0 0 NUM fbem-5586 116 8 𝛼 𝛼 NOUN fbem-5586 116 9 𝛾 𝛾 NOUN fbem-5586 116 10 πœ‡ πœ‡ ADP fbem-5586 116 11 12 12 NUM fbem-5586 116 12 obtain obtain VERB fbem-5586 116 13 the the DET fbem-5586 116 14 regeneration regeneration NOUN fbem-5586 116 15 matrix matrix NOUN fbem-5586 116 16 𝐹𝑉 𝐹𝑉 PROPN fbem-5586 116 17 𝐹𝑉 𝐹𝑉 PROPN fbem-5586 116 18 𝛽𝛼 𝛽𝛼 ADP fbem-5586 116 19 𝛼 𝛼 X fbem-5586 116 20 πœ‡ πœ‡ ADP fbem-5586 116 21 πœ‡ πœ‡ ADP fbem-5586 116 22 𝛾 𝛾 NOUN fbem-5586 116 23 𝛽 𝛽 NOUN fbem-5586 116 24 𝛾 𝛾 NOUN fbem-5586 116 25 πœ‡ πœ‡ ADP fbem-5586 116 26 0 0 NUM fbem-5586 116 27 0 0 NUM fbem-5586 116 28 13 13 NUM fbem-5586 116 29 it it PRON fbem-5586 116 30 can can AUX fbem-5586 116 31 be be AUX fbem-5586 116 32 obtained obtain VERB fbem-5586 116 33 that that SCONJ fbem-5586 116 34 the the DET fbem-5586 116 35 spectral spectral ADJ fbem-5586 116 36 radius radius NOUN fbem-5586 116 37 of of ADP fbem-5586 116 38 the the DET fbem-5586 116 39 matrix matrix NOUN fbem-5586 116 40 𝐹𝑉 𝐹𝑉 PROPN fbem-5586 116 41 is be AUX fbem-5586 116 42 , , PUNCT fbem-5586 116 43 and and CCONJ fbem-5586 116 44 𝑅 𝑅 PROPN fbem-5586 116 45   PROPN fbem-5586 116 46 1fv 1fv NUM fbem-5586 116 47 ο€­ο€½ ο€­ο€½ PROPN fbem-5586 116 48 is be AUX fbem-5586 116 49 the the DET fbem-5586 116 50 maximum maximum PROPN fbem-5586 116 51 eigenvalue eigenvalue NOUN fbem-5586 116 52 of of ADP fbem-5586 116 53 𝐹𝑉 𝐹𝑉 PROPN fbem-5586 116 54 when when SCONJ fbem-5586 116 55 calculating calculate VERB fbem-5586 116 56 the the DET fbem-5586 116 57 basic basic ADJ fbem-5586 116 58 regeneration regeneration NOUN fbem-5586 116 59 number number NOUN fbem-5586 116 60 𝑅 𝑅 PROPN fbem-5586 116 61 𝛽𝛼 𝛽𝛼 NOUN fbem-5586 116 62 𝛼 𝛼 X fbem-5586 116 63 πœ‡ πœ‡ ADP fbem-5586 116 64 πœ‡ πœ‡ ADP fbem-5586 116 65 𝛾 𝛾 PROPN fbem-5586 116 66 14 14 NUM fbem-5586 116 67 the the DET fbem-5586 116 68 basic basic ADJ fbem-5586 116 69 regeneration regeneration NOUN fbem-5586 116 70 number number NOUN fbem-5586 116 71 𝑅 𝑅 PROPN fbem-5586 116 72 is be AUX fbem-5586 116 73 the the DET fbem-5586 116 74 threshold threshold NOUN fbem-5586 116 75 for for ADP fbem-5586 116 76 distinguishing distinguish VERB fbem-5586 116 77 the the DET fbem-5586 116 78 prevalence prevalence NOUN fbem-5586 116 79 of of ADP fbem-5586 116 80 infectious infectious ADJ fbem-5586 116 81 diseases disease NOUN fbem-5586 116 82 . . PUNCT fbem-5586 117 1 according accord VERB fbem-5586 117 2 to to ADP fbem-5586 117 3 𝑅 𝑅 PROPN fbem-5586 117 4 we we PRON fbem-5586 117 5 get get VERB fbem-5586 117 6 the the DET fbem-5586 117 7 following follow VERB fbem-5586 117 8 property property NOUN fbem-5586 117 9 . . PUNCT fbem-5586 118 1 property property NOUN fbem-5586 118 2 1 1 NUM fbem-5586 118 3 : : PUNCT fbem-5586 118 4 if if SCONJ fbem-5586 118 5 the the DET fbem-5586 118 6 basic basic ADJ fbem-5586 118 7 regeneration regeneration NOUN fbem-5586 118 8 number number NOUN fbem-5586 118 9 𝑅 𝑅 PROPN fbem-5586 118 10 1 1 NUM fbem-5586 118 11 , , PUNCT fbem-5586 118 12 the the DET fbem-5586 118 13 seir seir ADJ fbem-5586 118 14 system system NOUN fbem-5586 118 15 dynamics dynamic NOUN fbem-5586 118 16 model(2 model(2 PROPN fbem-5586 118 17 ) ) PUNCT fbem-5586 118 18 of of ADP fbem-5586 118 19 risk risk NOUN fbem-5586 118 20 propagation propagation NOUN fbem-5586 118 21 will will AUX fbem-5586 118 22 evolve evolve VERB fbem-5586 118 23 to to ADP fbem-5586 118 24 the the DET fbem-5586 118 25 zero zero NUM fbem-5586 118 26 equilibrium equilibrium NOUN fbem-5586 118 27 point point NOUN fbem-5586 118 28 , , PUNCT fbem-5586 118 29 where where SCONJ fbem-5586 118 30 it it PRON fbem-5586 118 31 is be AUX fbem-5586 118 32 locally locally ADV fbem-5586 118 33 asymptotically asymptotically ADV fbem-5586 118 34 stable stable ADJ fbem-5586 118 35 . . PUNCT fbem-5586 119 1 proof proof NOUN fbem-5586 119 2 : : PUNCT fbem-5586 119 3 the the DET fbem-5586 119 4 jacobian jacobian ADJ fbem-5586 119 5 matrix matrix NOUN fbem-5586 119 6 of of ADP fbem-5586 119 7 equation equation NOUN fbem-5586 119 8 ( ( PUNCT fbem-5586 119 9 2 2 NUM fbem-5586 119 10 ) ) PUNCT fbem-5586 119 11 at at ADP fbem-5586 119 12 the the DET fbem-5586 119 13 zep zep PROPN fbem-5586 119 14 𝑃 𝑃 PROPN fbem-5586 119 15 is be AUX fbem-5586 119 16 𝐽 𝐽 NOUN fbem-5586 119 17 πœ‡ πœ‡ ADP fbem-5586 119 18 0 0 NUM fbem-5586 119 19 𝛽 𝛽 NOUN fbem-5586 119 20 0 0 NUM fbem-5586 119 21 0 0 NUM fbem-5586 119 22 𝛼 𝛼 NOUN fbem-5586 119 23 πœ‡ πœ‡ ADP fbem-5586 119 24 𝛽 𝛽 NOUN fbem-5586 119 25 0 0 NUM fbem-5586 119 26 0 0 NUM fbem-5586 119 27 𝛼 𝛼 NOUN fbem-5586 119 28 𝛾 𝛾 NOUN fbem-5586 119 29 πœ‡ πœ‡ ADP fbem-5586 119 30 0 0 NUM fbem-5586 119 31 0 0 NUM fbem-5586 119 32 0 0 NUM fbem-5586 119 33 𝛾 𝛾 NOUN fbem-5586 119 34 πœ‡ πœ‡ ADP fbem-5586 119 35 15 15 NUM fbem-5586 119 36 the the DET fbem-5586 119 37 corresponding corresponding ADJ fbem-5586 119 38 characteristic characteristic ADJ fbem-5586 119 39 equation equation NOUN fbem-5586 119 40 of of ADP fbem-5586 119 41 this this DET fbem-5586 119 42 matrix matrix NOUN fbem-5586 119 43 is be AUX fbem-5586 119 44 ： ： PUNCT fbem-5586 119 45 πœ† πœ† DET fbem-5586 119 46 4πœ‡ 4πœ‡ NOUN fbem-5586 119 47 𝛾 𝛾 ADP fbem-5586 119 48 𝛼 𝛼 X fbem-5586 119 49 πœ† πœ† NOUN fbem-5586 119 50 𝛼𝛽 𝛼𝛽 NOUN fbem-5586 119 51 𝛼𝛾 𝛼𝛾 NUM fbem-5586 119 52 3π›Όπœ‡ 3π›Όπœ‡ NUM fbem-5586 119 53 3π›Ύπœ‡ 3π›Ύπœ‡ NOUN fbem-5586 120 1 6πœ‡ 6πœ‡ NOUN fbem-5586 120 2 πœ† πœ† DET fbem-5586 120 3 2πœ‡π›Όπ›½ 2πœ‡π›Όπ›½ NUM fbem-5586 120 4 2π›Όπ›Ύπœ‡ 2π›Όπ›Ύπœ‡ NUM fbem-5586 120 5 3π›Όπœ‡ 3π›Όπœ‡ NUM fbem-5586 120 6 3π›Ύπœ‡ 3π›Ύπœ‡ ADJ fbem-5586 120 7 4πœ‡ 4πœ‡ NOUN fbem-5586 120 8 πœ† πœ† ADP fbem-5586 120 9 πœ‡ πœ‡ X fbem-5586 120 10 𝛼𝛽 𝛼𝛽 NOUN fbem-5586 121 1 𝛼𝛾 𝛼𝛾 INTJ fbem-5586 121 2 π›Όπœ‡ π›Όπœ‡ INTJ fbem-5586 121 3 π›Ύπœ‡ π›Ύπœ‡ ADP fbem-5586 121 4 πœ‡ πœ‡ ADP fbem-5586 121 5 0 0 NUM fbem-5586 121 6 where where SCONJ fbem-5586 121 7 , , PUNCT fbem-5586 121 8 𝑏 𝑏 DET fbem-5586 121 9 4πœ‡ 4πœ‡ NOUN fbem-5586 121 10 𝛾 𝛾 VERB fbem-5586 121 11 𝛼 𝛼 NUM fbem-5586 121 12 17 17 NUM fbem-5586 121 13 𝑏 𝑏 PRON fbem-5586 121 14 𝛼 𝛼 PROPN fbem-5586 121 15 3πœ‡ 3πœ‡ NUM fbem-5586 121 16 𝛽 𝛽 NOUN fbem-5586 121 17 𝛾 𝛾 NOUN fbem-5586 121 18 3π›Ύπœ‡ 3π›Ύπœ‡ NOUN fbem-5586 121 19 6πœ‡ 6πœ‡ NUM fbem-5586 121 20 18 18 NUM fbem-5586 121 21 𝑏 𝑏 NOUN fbem-5586 121 22 πœ‡ πœ‡ ADP fbem-5586 121 23 2𝛼𝛽 2𝛼𝛽 NOUN fbem-5586 121 24 2𝛼𝛾 2𝛼𝛾 NOUN fbem-5586 121 25 3πœ‡π›Ό 3πœ‡π›Ό ADJ fbem-5586 121 26 3π›Ύπœ‡ 3π›Ύπœ‡ ADJ fbem-5586 121 27 4πœ‡ 4πœ‡ NOUN fbem-5586 122 1 19 19 NUM fbem-5586 122 2 𝑏 𝑏 NOUN fbem-5586 122 3 πœ‡ πœ‡ ADP fbem-5586 122 4 πœ‡ πœ‡ ADP fbem-5586 122 5 𝛾 𝛾 NOUN fbem-5586 122 6 𝛼 𝛼 NOUN fbem-5586 122 7 πœ‡ πœ‡ ADP fbem-5586 122 8 𝛼 𝛼 ADP fbem-5586 122 9 𝛽 𝛽 NOUN fbem-5586 122 10 𝛾 𝛾 PROPN fbem-5586 122 11 20 20 NUM fbem-5586 122 12 the the DET fbem-5586 122 13 zep zep PROPN fbem-5586 122 14 𝑃 𝑃 PROPN fbem-5586 122 15 is be AUX fbem-5586 122 16 locally locally ADV fbem-5586 122 17 asymptotically asymptotically ADV fbem-5586 122 18 stable stable ADJ fbem-5586 122 19 if if SCONJ fbem-5586 122 20 and and CCONJ fbem-5586 122 21 only only ADV fbem-5586 122 22 if if SCONJ fbem-5586 122 23 all all DET fbem-5586 122 24 eigenvalues eigenvalue NOUN fbem-5586 122 25 of of ADP fbem-5586 122 26 the the DET fbem-5586 122 27 characteristic characteristic ADJ fbem-5586 122 28 equation equation NOUN fbem-5586 122 29 have have VERB fbem-5586 122 30 negative negative ADJ fbem-5586 122 31 real real ADJ fbem-5586 122 32 parts part NOUN fbem-5586 122 33 . . PUNCT fbem-5586 123 1 according accord VERB fbem-5586 123 2 to to ADP fbem-5586 123 3 routh routh PROPN fbem-5586 123 4 – – PUNCT fbem-5586 123 5 hurwitz hurwitz PROPN fbem-5586 123 6 stability stability NOUN fbem-5586 123 7 criterion criterion NOUN fbem-5586 123 8 , , PUNCT fbem-5586 123 9 if if SCONJ fbem-5586 123 10 𝑏 𝑏 PROPN fbem-5586 123 11 0 0 NUM fbem-5586 123 12 , , PUNCT fbem-5586 123 13 𝑏 𝑏 PROPN fbem-5586 123 14 0 0 NUM fbem-5586 123 15 , , PUNCT fbem-5586 123 16 𝑏 𝑏 PROPN fbem-5586 123 17 𝑏 𝑏 NOUN fbem-5586 123 18 𝑏 𝑏 PROPN fbem-5586 123 19 , , PUNCT fbem-5586 123 20 𝑏 𝑏 PROPN fbem-5586 123 21 𝑏 𝑏 NOUN fbem-5586 123 22 𝑏 𝑏 NOUN fbem-5586 123 23 𝑏 𝑏 PROPN fbem-5586 123 24 𝑏 𝑏 PROPN fbem-5586 123 25 𝑏 𝑏 PROPN fbem-5586 123 26 , , PUNCT fbem-5586 123 27 then then ADV fbem-5586 123 28 all all DET fbem-5586 123 29 the the DET fbem-5586 123 30 eigenvalues eigenvalue NOUN fbem-5586 123 31 of of ADP fbem-5586 123 32 the the DET fbem-5586 123 33 eigenequation eigenequation NOUN fbem-5586 123 34 have have VERB fbem-5586 123 35 negative negative ADJ fbem-5586 123 36 real real ADJ fbem-5586 123 37 parts part NOUN fbem-5586 123 38 . . PUNCT fbem-5586 124 1 by by ADP fbem-5586 124 2 calculation calculation NOUN fbem-5586 124 3 , , PUNCT fbem-5586 124 4 when when SCONJ fbem-5586 124 5 𝑅 𝑅 PROPN fbem-5586 124 6 1 1 NUM fbem-5586 124 7 , , PUNCT fbem-5586 124 8 the the DET fbem-5586 124 9 condition condition NOUN fbem-5586 124 10 𝛽𝛼 𝛽𝛼 ADP fbem-5586 124 11 𝛼 𝛼 X fbem-5586 124 12 πœ‡ πœ‡ X fbem-5586 124 13 πœ‡ πœ‡ ADP fbem-5586 124 14 𝛾 𝛾 PROPN fbem-5586 124 15 is be AUX fbem-5586 124 16 obtained obtain VERB fbem-5586 124 17 . . PUNCT fbem-5586 125 1 under under ADP fbem-5586 125 2 this this DET fbem-5586 125 3 condition condition NOUN fbem-5586 125 4 , , PUNCT fbem-5586 125 5 𝑏 𝑏 PROPN fbem-5586 125 6 0 0 NUM fbem-5586 125 7 , , PUNCT fbem-5586 125 8 𝑏 𝑏 PROPN fbem-5586 125 9 0 0 NUM fbem-5586 125 10 , , PUNCT fbem-5586 125 11 𝑏 𝑏 PROPN fbem-5586 125 12 0 0 NUM fbem-5586 125 13 , , PUNCT fbem-5586 125 14 𝑏 𝑏 PROPN fbem-5586 125 15 0 0 NUM fbem-5586 125 16 , , PUNCT fbem-5586 125 17 𝑏 𝑏 PROPN fbem-5586 125 18 𝑏 𝑏 NOUN fbem-5586 125 19 𝑏 𝑏 PROPN fbem-5586 125 20 0 0 NUM fbem-5586 125 21 , , PUNCT fbem-5586 125 22 𝑏 𝑏 PROPN fbem-5586 125 23 𝑏 𝑏 NOUN fbem-5586 125 24 𝑏 𝑏 NOUN fbem-5586 125 25 𝑏 𝑏 PROPN fbem-5586 125 26 𝑏 𝑏 PROPN fbem-5586 125 27 𝑏 𝑏 PROPN fbem-5586 125 28 . . PUNCT fbem-5586 126 1 therefore therefore ADV fbem-5586 126 2 , , PUNCT fbem-5586 126 3 when when SCONJ fbem-5586 126 4 𝑅 𝑅 PROPN fbem-5586 126 5 1 1 NUM fbem-5586 126 6 , , PUNCT fbem-5586 126 7 the the DET fbem-5586 126 8 system system NOUN fbem-5586 126 9 model model NOUN fbem-5586 126 10 is be AUX fbem-5586 126 11 locally locally ADV fbem-5586 126 12 asymptotically asymptotically ADV fbem-5586 126 13 stable stable ADJ fbem-5586 126 14 at at ADP fbem-5586 126 15 the the DET fbem-5586 126 16 zep zep PROPN fbem-5586 126 17 𝑃 𝑃 PROPN fbem-5586 126 18 . . PUNCT fbem-5586 127 1 property property NOUN fbem-5586 127 2 2 2 NUM fbem-5586 127 3 if if SCONJ fbem-5586 127 4 the the DET fbem-5586 127 5 basic basic ADJ fbem-5586 127 6 regeneration regeneration NOUN fbem-5586 127 7 number number NOUN fbem-5586 127 8 𝑅 𝑅 PROPN fbem-5586 127 9 1 1 NUM fbem-5586 127 10 , , PUNCT fbem-5586 127 11 the the DET fbem-5586 127 12 2 2 NUM fbem-5586 127 13 equation equation NOUN fbem-5586 127 14 of of ADP fbem-5586 127 15 the the DET fbem-5586 127 16 seir seir ADJ fbem-5586 127 17 system system NOUN fbem-5586 127 18 dynamics dynamic NOUN fbem-5586 127 19 model model NOUN fbem-5586 127 20 of of ADP fbem-5586 127 21 risk risk NOUN fbem-5586 127 22 propagation propagation NOUN fbem-5586 127 23 will will AUX fbem-5586 127 24 evolve evolve VERB fbem-5586 127 25 to to ADP fbem-5586 127 26 a a DET fbem-5586 127 27 n n CCONJ fbem-5586 127 28 - - PUNCT fbem-5586 127 29 zep zep PROPN fbem-5586 127 30 π‘ƒβˆ— π‘ƒβˆ— PROPN fbem-5586 127 31 , , PUNCT fbem-5586 127 32 where where SCONJ fbem-5586 127 33 it it PRON fbem-5586 127 34 is be AUX fbem-5586 127 35 locally locally ADV fbem-5586 127 36 asymptotically asymptotically ADV fbem-5586 127 37 stable stable ADJ fbem-5586 127 38 . . PUNCT fbem-5586 128 1 proof proof NOUN fbem-5586 128 2 : : PUNCT fbem-5586 128 3 the the DET fbem-5586 128 4 jacobian jacobian ADJ fbem-5586 128 5 matrix matrix NOUN fbem-5586 128 6 of of ADP fbem-5586 128 7 equation equation NOUN fbem-5586 128 8 ( ( PUNCT fbem-5586 128 9 2 2 NUM fbem-5586 128 10 ) ) PUNCT fbem-5586 128 11 at at ADP fbem-5586 128 12 the the DET fbem-5586 128 13 n n CCONJ fbem-5586 128 14 - - PUNCT fbem-5586 128 15 zep zep PROPN fbem-5586 128 16 𝑋 𝑋 PROPN fbem-5586 128 17 is be AUX fbem-5586 128 18 𝐽 𝐽 PROPN fbem-5586 128 19 βˆ— βˆ— NOUN fbem-5586 128 20 π›½πΌβˆ— π›½πΌβˆ— NOUN fbem-5586 128 21 πœ‡ πœ‡ ADP fbem-5586 128 22 0 0 NUM fbem-5586 128 23 π›½π‘†βˆ— π›½π‘†βˆ— NOUN fbem-5586 128 24 0 0 NUM fbem-5586 128 25 π›½πΌβˆ— π›½πΌβˆ— NOUN fbem-5586 128 26 𝛼 𝛼 NOUN fbem-5586 128 27 πœ‡ πœ‡ ADP fbem-5586 128 28 π›½π‘†βˆ— π›½π‘†βˆ— ADV fbem-5586 128 29 0 0 NUM fbem-5586 128 30 0 0 NUM fbem-5586 129 1 𝛼 𝛼 NOUN fbem-5586 129 2 𝛾 𝛾 NOUN fbem-5586 129 3 πœ‡ πœ‡ ADP fbem-5586 129 4 0 0 NUM fbem-5586 129 5 0 0 NUM fbem-5586 129 6 0 0 NUM fbem-5586 129 7 𝛾 𝛾 PROPN fbem-5586 129 8 πœ‡ πœ‡ ADP fbem-5586 129 9 21 21 NUM fbem-5586 129 10 the the DET fbem-5586 129 11 corresponding corresponding ADJ fbem-5586 129 12 eigenequation eigenequation NOUN fbem-5586 129 13 of of ADP fbem-5586 129 14 this this DET fbem-5586 129 15 matrix matrix NOUN fbem-5586 129 16 is be AUX fbem-5586 129 17 : : PUNCT fbem-5586 129 18 πœ† πœ† DET fbem-5586 129 19 2πœ‡ 2πœ‡ PROPN fbem-5586 129 20 𝛾 𝛾 ADP fbem-5586 129 21 π›Όπ›½πΌβˆ— π›Όπ›½πΌβˆ— PROPN fbem-5586 129 22 πœ† πœ† PRON fbem-5586 129 23 π›½π‘†βˆ— π›½π‘†βˆ— NOUN fbem-5586 129 24 π›½πΌβˆ— π›½πΌβˆ— NOUN fbem-5586 129 25 𝛾 𝛾 NOUN fbem-5586 129 26 πœ‡ πœ‡ ADP fbem-5586 129 27 𝛼 𝛼 ADP fbem-5586 129 28 3πœ‡ 3πœ‡ NUM fbem-5586 129 29 𝛾 𝛾 PRON fbem-5586 129 30 π›½πΌβˆ— π›½πΌβˆ— NOUN fbem-5586 129 31 π›Ύπœ‡ π›Ύπœ‡ ADP fbem-5586 129 32 πœ† πœ† DET fbem-5586 129 33 2πœ‡ 2πœ‡ NUM fbem-5586 129 34 𝛼 𝛼 NOUN fbem-5586 129 35 𝛾 𝛾 ADP fbem-5586 129 36 3π›½πΌβˆ— 3π›½πΌβˆ— NUM fbem-5586 129 37 πœ‡ πœ‡ ADP fbem-5586 129 38 2π›½πΌβˆ— 2π›½πΌβˆ— NUM fbem-5586 129 39 𝛾 𝛾 NOUN fbem-5586 129 40 𝛼 𝛼 NOUN fbem-5586 129 41 πœ‡ πœ‡ ADP fbem-5586 129 42 π›Όπ›Ύπ›½πΌβˆ— π›Όπ›Ύπ›½πΌβˆ— NOUN fbem-5586 129 43 πœ† πœ† ADP fbem-5586 129 44 πœ‡ πœ‡ X fbem-5586 129 45 πœ‡ πœ‡ ADP fbem-5586 129 46 𝛼 𝛼 NOUN fbem-5586 129 47 𝛾 𝛾 NOUN fbem-5586 129 48 π›½πΌβˆ— π›½πΌβˆ— NOUN fbem-5586 129 49 πœ‡ πœ‡ ADP fbem-5586 129 50 π›½π‘†βˆ— π›½π‘†βˆ— NOUN fbem-5586 129 51 π›½πΌβˆ— π›½πΌβˆ— NOUN fbem-5586 129 52 𝛾 𝛾 NOUN fbem-5586 129 53 𝛼 𝛼 NOUN fbem-5586 129 54 π›½πΌβˆ—π›Ύ π›½πΌβˆ—π›Ύ NOUN fbem-5586 129 55 πœ‡ πœ‡ ADP fbem-5586 129 56 π›Όπ›Ύπ›½πΌβˆ— π›Όπ›Ύπ›½πΌβˆ— NOUN fbem-5586 129 57 0 0 NUM fbem-5586 129 58 where where SCONJ fbem-5586 129 59 , , PUNCT fbem-5586 129 60 πœ† πœ† PROPN fbem-5586 129 61 𝑐 𝑐 PROPN fbem-5586 129 62 πœ† πœ† PROPN fbem-5586 129 63 𝑐 𝑐 PROPN fbem-5586 129 64 πœ† πœ† PROPN fbem-5586 129 65 𝑐 𝑐 PROPN fbem-5586 129 66 πœ† πœ† PROPN fbem-5586 129 67 𝑐 𝑐 PROPN fbem-5586 129 68 0 0 NUM fbem-5586 129 69 22 22 NUM fbem-5586 129 70 𝑐 𝑐 PROPN fbem-5586 129 71 2πœ‡ 2πœ‡ NUM fbem-5586 129 72 𝛾 𝛾 ADP fbem-5586 129 73 π›Όπ›½πΌβˆ— π›Όπ›½πΌβˆ— PROPN fbem-5586 129 74 23 23 NUM fbem-5586 129 75 𝑐 𝑐 NOUN fbem-5586 129 76 π›½π‘†βˆ— π›½π‘†βˆ— ADV fbem-5586 129 77 π›½πΌβˆ— π›½πΌβˆ— NOUN fbem-5586 129 78 𝛾 𝛾 NOUN fbem-5586 129 79 πœ‡ πœ‡ ADP fbem-5586 129 80 𝛼 𝛼 ADP fbem-5586 129 81 3πœ‡ 3πœ‡ NUM fbem-5586 129 82 𝛾 𝛾 PRON fbem-5586 129 83 π›½πΌβˆ— π›½πΌβˆ— NOUN fbem-5586 129 84 π›Ύπœ‡ π›Ύπœ‡ ADP fbem-5586 129 85 24 24 NUM fbem-5586 129 86 𝑐 𝑐 PROPN fbem-5586 129 87 2πœ‡ 2πœ‡ NUM fbem-5586 129 88 𝛼 𝛼 NOUN fbem-5586 129 89 𝛾 𝛾 ADP fbem-5586 129 90 3π›½πΌβˆ— 3π›½πΌβˆ— NUM fbem-5586 129 91 πœ‡ πœ‡ ADP fbem-5586 129 92 2π›½πΌβˆ— 2π›½πΌβˆ— NUM fbem-5586 129 93 𝛾 𝛾 NOUN fbem-5586 129 94 𝛼 𝛼 PRON fbem-5586 129 95 πœ‡ πœ‡ ADP fbem-5586 129 96 π›Όπ›Ύπ›½πΌβˆ— π›Όπ›Ύπ›½πΌβˆ— NOUN fbem-5586 129 97 25 25 NUM fbem-5586 129 98 𝑐 𝑐 NOUN fbem-5586 129 99 πœ‡ πœ‡ ADP fbem-5586 129 100 πœ‡ πœ‡ ADP fbem-5586 129 101 𝛼 𝛼 NOUN fbem-5586 129 102 𝛾 𝛾 NOUN fbem-5586 129 103 π›½πΌβˆ— π›½πΌβˆ— NOUN fbem-5586 129 104 πœ‡ πœ‡ ADP fbem-5586 129 105 π›½π‘†βˆ— π›½π‘†βˆ— NOUN fbem-5586 129 106 π›½πΌβˆ— π›½πΌβˆ— NOUN fbem-5586 129 107 𝛾 𝛾 NOUN fbem-5586 129 108 𝛼 𝛼 NOUN fbem-5586 129 109 π›½πΌβˆ—π›Ύ π›½πΌβˆ—π›Ύ NOUN fbem-5586 129 110 πœ‡ πœ‡ ADP fbem-5586 129 111 π›Όπ›Ύπ›½πΌβˆ— π›Όπ›Ύπ›½πΌβˆ— NOUN fbem-5586 129 112 26 26 NUM fbem-5586 129 113 the the DET fbem-5586 129 114 n n CCONJ fbem-5586 129 115 - - PUNCT fbem-5586 129 116 zep zep PROPN fbem-5586 129 117 π‘ƒβˆ— π‘ƒβˆ— PROPN fbem-5586 129 118 is be AUX fbem-5586 129 119 locally locally ADV fbem-5586 129 120 asymptotically asymptotically ADV fbem-5586 129 121 stable stable ADJ fbem-5586 129 122 if if SCONJ fbem-5586 129 123 and and CCONJ fbem-5586 129 124 only only ADV fbem-5586 129 125 if if SCONJ fbem-5586 129 126 all all DET fbem-5586 129 127 eigenvalues eigenvalue NOUN fbem-5586 129 128 of of ADP fbem-5586 129 129 the the DET fbem-5586 129 130 eigenequation eigenequation NOUN fbem-5586 129 131 have have VERB fbem-5586 129 132 negative negative ADJ fbem-5586 129 133 real real ADJ fbem-5586 129 134 parts part NOUN fbem-5586 129 135 . . PUNCT fbem-5586 130 1 according accord VERB fbem-5586 130 2 to to ADP fbem-5586 130 3 routh routh PROPN fbem-5586 130 4 – – PUNCT fbem-5586 130 5 hurwitz hurwitz PROPN fbem-5586 130 6 stability stability NOUN fbem-5586 130 7 criterion criterion NOUN fbem-5586 130 8 , , PUNCT fbem-5586 130 9 if if SCONJ fbem-5586 130 10 𝑐 𝑐 PROPN fbem-5586 130 11 0 0 NUM fbem-5586 130 12 , , PUNCT fbem-5586 130 13 𝑐 𝑐 PROPN fbem-5586 130 14 0 0 NUM fbem-5586 130 15 , , PUNCT fbem-5586 130 16 𝑐 𝑐 PROPN fbem-5586 130 17 𝑐 𝑐 PROPN fbem-5586 130 18 𝑐 𝑐 PROPN fbem-5586 130 19 , , PUNCT fbem-5586 130 20 𝑐 𝑐 PROPN fbem-5586 130 21 𝑐 𝑐 PUNCT fbem-5586 130 22 𝑐 𝑐 VERB fbem-5586 130 23 𝑐 𝑐 VERB fbem-5586 130 24 𝑐 𝑐 PROPN fbem-5586 130 25 𝑐 𝑐 PROPN fbem-5586 130 26 , , PUNCT fbem-5586 130 27 then then ADV fbem-5586 130 28 all all DET fbem-5586 130 29 the the DET fbem-5586 130 30 eigenvalues eigenvalue NOUN fbem-5586 130 31 of of ADP fbem-5586 130 32 the the DET fbem-5586 130 33 eigenequation eigenequation NOUN fbem-5586 130 34 have have VERB fbem-5586 130 35 negative negative ADJ fbem-5586 130 36 real real ADJ fbem-5586 130 37 parts part NOUN fbem-5586 130 38 . . PUNCT fbem-5586 131 1 we we PRON fbem-5586 131 2 can can AUX fbem-5586 131 3 see see VERB fbem-5586 131 4 that that SCONJ fbem-5586 131 5 𝑑 𝑑 PROPN fbem-5586 131 6 0,𝑑 0,𝑑 NOUN fbem-5586 131 7 0 0 NUM fbem-5586 131 8 , , PUNCT fbem-5586 131 9 and and CCONJ fbem-5586 131 10 when when SCONJ fbem-5586 131 11 𝑅 𝑅 PROPN fbem-5586 131 12 1 1 NUM fbem-5586 131 13 , , PUNCT fbem-5586 131 14 the the DET fbem-5586 131 15 condition condition NOUN fbem-5586 131 16 𝛽𝛼 𝛽𝛼 ADP fbem-5586 131 17 𝛼 𝛼 X fbem-5586 131 18 πœ‡ πœ‡ X fbem-5586 131 19 πœ‡ πœ‡ ADP fbem-5586 131 20 𝛾 𝛾 PROPN fbem-5586 131 21 is be AUX fbem-5586 131 22 obtained obtain VERB fbem-5586 131 23 . . PUNCT fbem-5586 132 1 under under ADP fbem-5586 132 2 this this DET fbem-5586 132 3 condition condition NOUN fbem-5586 132 4 , , PUNCT fbem-5586 132 5 𝑐 𝑐 PROPN fbem-5586 132 6 0 0 NUM fbem-5586 132 7 , , PUNCT fbem-5586 132 8 𝑐 𝑐 PROPN fbem-5586 132 9 0 0 NUM fbem-5586 132 10 , , PUNCT fbem-5586 132 11 𝑐 𝑐 PROPN fbem-5586 132 12 𝑐 𝑐 PROPN fbem-5586 132 13 𝑐 𝑐 PROPN fbem-5586 132 14 0 0 NUM fbem-5586 132 15 , , PUNCT fbem-5586 132 16 𝑐 𝑐 PROPN fbem-5586 132 17 𝑐 𝑐 X fbem-5586 132 18 𝑐 𝑐 X fbem-5586 132 19 𝑐 𝑐 X fbem-5586 132 20 𝑐 𝑐 PROPN fbem-5586 132 21 𝑐 𝑐 PROPN fbem-5586 132 22 . . PUNCT fbem-5586 133 1 therefore therefore ADV fbem-5586 133 2 , , PUNCT fbem-5586 133 3 when when SCONJ fbem-5586 133 4 𝑅 𝑅 PROPN fbem-5586 133 5 1 1 NUM fbem-5586 133 6 , , PUNCT fbem-5586 133 7 the the DET fbem-5586 133 8 system system NOUN fbem-5586 133 9 model model NOUN fbem-5586 133 10 is be AUX fbem-5586 133 11 locally locally ADV fbem-5586 133 12 asymptotically asymptotically ADV fbem-5586 133 13 stable stable ADJ fbem-5586 133 14 at at ADP fbem-5586 133 15 the the DET fbem-5586 133 16 n n CCONJ fbem-5586 133 17 - - PUNCT fbem-5586 133 18 zep zep PROPN fbem-5586 133 19 π‘ƒβˆ—. π‘ƒβˆ—. PROPN fbem-5586 133 20 the the DET fbem-5586 133 21 above above ADJ fbem-5586 133 22 results result NOUN fbem-5586 133 23 show show VERB fbem-5586 133 24 that that SCONJ fbem-5586 133 25 if if SCONJ fbem-5586 133 26 the the DET fbem-5586 133 27 basic basic ADJ fbem-5586 133 28 regeneration regeneration NOUN fbem-5586 133 29 number number NOUN fbem-5586 133 30 𝑅 𝑅 PROPN fbem-5586 133 31 1 1 NUM fbem-5586 133 32 , , PUNCT fbem-5586 133 33 then then ADV fbem-5586 133 34 2 2 NUM fbem-5586 133 35 is be AUX fbem-5586 133 36 asymptotically asymptotically ADV fbem-5586 133 37 stable stable ADJ fbem-5586 133 38 at at ADP fbem-5586 133 39 the the DET fbem-5586 133 40 zero zero NUM fbem-5586 133 41 equilibrium equilibrium NOUN fbem-5586 133 42 point point NOUN fbem-5586 133 43 𝑃 𝑃 NOUN fbem-5586 133 44 , , PUNCT fbem-5586 133 45 that that ADV fbem-5586 133 46 is is ADV fbem-5586 133 47 , , PUNCT fbem-5586 133 48 the the DET fbem-5586 133 49 number number NOUN fbem-5586 133 50 of of ADP fbem-5586 133 51 enterprises enterprise NOUN fbem-5586 133 52 infected infect VERB fbem-5586 133 53 by by ADP fbem-5586 133 54 the the DET fbem-5586 133 55 risk risk NOUN fbem-5586 133 56 in in ADP fbem-5586 133 57 the the DET fbem-5586 133 58 supply supply NOUN fbem-5586 133 59 chain chain NOUN fbem-5586 133 60 network network NOUN fbem-5586 133 61 gradually gradually ADV fbem-5586 133 62 decreases decrease VERB fbem-5586 133 63 until until ADP fbem-5586 133 64 zero zero NUM fbem-5586 133 65 . . PUNCT fbem-5586 134 1 if if SCONJ fbem-5586 134 2 𝑅 𝑅 PROPN fbem-5586 134 3 1 1 NUM fbem-5586 134 4 , , PUNCT fbem-5586 134 5 then then ADV fbem-5586 134 6 2 2 NUM fbem-5586 134 7 is be AUX fbem-5586 134 8 locally locally ADV fbem-5586 134 9 asymptotically asymptotically ADV fbem-5586 134 10 stable stable ADJ fbem-5586 134 11 at at ADP fbem-5586 134 12 the the DET fbem-5586 134 13 non non ADJ fbem-5586 134 14 - - ADJ fbem-5586 134 15 zero zero NUM fbem-5586 134 16 equilibrium equilibrium NOUN fbem-5586 134 17 point point NOUN fbem-5586 134 18 π‘ƒβˆ— π‘ƒβˆ— VERB fbem-5586 134 19 that that PRON fbem-5586 134 20 is be AUX fbem-5586 134 21 , , PUNCT fbem-5586 134 22 the the DET fbem-5586 134 23 number number NOUN fbem-5586 134 24 of of ADP fbem-5586 134 25 enterprises enterprise NOUN fbem-5586 134 26 infected infect VERB fbem-5586 134 27 by by ADP fbem-5586 134 28 the the DET fbem-5586 134 29 risk risk NOUN fbem-5586 134 30 in in ADP fbem-5586 134 31 the the DET fbem-5586 134 32 supply supply NOUN fbem-5586 134 33 chain chain NOUN fbem-5586 134 34 network network NOUN fbem-5586 134 35 remains remain VERB fbem-5586 134 36 constant constant ADJ fbem-5586 134 37 and and CCONJ fbem-5586 134 38 the the DET fbem-5586 134 39 risk risk NOUN fbem-5586 134 40 is be AUX fbem-5586 134 41 still still ADV fbem-5586 134 42 spreading spread VERB fbem-5586 134 43 . . PUNCT fbem-5586 135 1 therefore therefore ADV fbem-5586 135 2 , , PUNCT fbem-5586 135 3 necessary necessary ADJ fbem-5586 135 4 measures measure NOUN fbem-5586 135 5 should should AUX fbem-5586 135 6 be be AUX fbem-5586 135 7 taken take VERB fbem-5586 135 8 to to PART fbem-5586 135 9 control control VERB fbem-5586 135 10 the the DET fbem-5586 135 11 basic basic ADJ fbem-5586 135 12 regeneration regeneration NOUN fbem-5586 135 13 number number NOUN fbem-5586 135 14 𝑅 𝑅 PROPN fbem-5586 135 15 within within ADP fbem-5586 135 16 a a DET fbem-5586 135 17 reasonable reasonable ADJ fbem-5586 135 18 range range NOUN fbem-5586 135 19 . . PUNCT fbem-5586 136 1 249 249 NUM fbem-5586 136 2 2.5 2.5 NUM fbem-5586 136 3 . . PUNCT fbem-5586 137 1 sensitivity sensitivity NOUN fbem-5586 137 2 analysis analysis NOUN fbem-5586 137 3 of of ADP fbem-5586 137 4 π‘ΉπŸŽ π‘ΉπŸŽ PROPN fbem-5586 137 5 the the DET fbem-5586 137 6 propagation propagation NOUN fbem-5586 137 7 of of ADP fbem-5586 137 8 risks risk NOUN fbem-5586 137 9 in in ADP fbem-5586 137 10 the the DET fbem-5586 137 11 supply supply NOUN fbem-5586 137 12 chain chain NOUN fbem-5586 137 13 network network NOUN fbem-5586 137 14 largely largely ADV fbem-5586 137 15 depends depend VERB fbem-5586 137 16 on on ADP fbem-5586 137 17 the the DET fbem-5586 137 18 basic basic ADJ fbem-5586 137 19 regeneration regeneration NOUN fbem-5586 137 20 number number NOUN fbem-5586 137 21 𝑅 𝑅 PROPN fbem-5586 137 22 . . PUNCT fbem-5586 138 1 in in ADP fbem-5586 138 2 order order NOUN fbem-5586 138 3 to to PART fbem-5586 138 4 control control VERB fbem-5586 138 5 the the DET fbem-5586 138 6 propagation propagation NOUN fbem-5586 138 7 of of ADP fbem-5586 138 8 risks risk NOUN fbem-5586 138 9 in in ADP fbem-5586 138 10 the the DET fbem-5586 138 11 supply supply NOUN fbem-5586 138 12 chain chain NOUN fbem-5586 138 13 network network NOUN fbem-5586 138 14 , , PUNCT fbem-5586 138 15 it it PRON fbem-5586 138 16 is be AUX fbem-5586 138 17 necessary necessary ADJ fbem-5586 138 18 to to PART fbem-5586 138 19 consider consider VERB fbem-5586 138 20 the the DET fbem-5586 138 21 influence influence NOUN fbem-5586 138 22 factors factor NOUN fbem-5586 138 23 in in ADP fbem-5586 138 24 the the DET fbem-5586 138 25 process process NOUN fbem-5586 138 26 of of ADP fbem-5586 138 27 risk risk NOUN fbem-5586 138 28 propagation propagation NOUN fbem-5586 138 29 , , PUNCT fbem-5586 138 30 that that ADV fbem-5586 138 31 is is ADV fbem-5586 138 32 , , PUNCT fbem-5586 138 33 to to PART fbem-5586 138 34 analyze analyze VERB fbem-5586 138 35 the the DET fbem-5586 138 36 influence influence NOUN fbem-5586 138 37 of of ADP fbem-5586 138 38 relevant relevant ADJ fbem-5586 138 39 parameters parameter NOUN fbem-5586 138 40 on on ADP fbem-5586 138 41 the the DET fbem-5586 138 42 basic basic ADJ fbem-5586 138 43 regeneration regeneration NOUN fbem-5586 138 44 number number NOUN fbem-5586 138 45 . . PUNCT fbem-5586 139 1 in in ADP fbem-5586 139 2 this this DET fbem-5586 139 3 paper paper NOUN fbem-5586 139 4 , , PUNCT fbem-5586 139 5 sensitivity sensitivity NOUN fbem-5586 139 6 analysis analysis NOUN fbem-5586 139 7 is be AUX fbem-5586 139 8 used use VERB fbem-5586 139 9 to to PART fbem-5586 139 10 calculate calculate VERB fbem-5586 139 11 the the DET fbem-5586 139 12 influence influence NOUN fbem-5586 139 13 index index NOUN fbem-5586 139 14 of of ADP fbem-5586 139 15 each each DET fbem-5586 139 16 parameter parameter NOUN fbem-5586 139 17 on on ADP fbem-5586 139 18 𝑅 𝑅 PROPN fbem-5586 139 19 . . PUNCT fbem-5586 140 1 according accord VERB fbem-5586 140 2 to to ADP fbem-5586 140 3 𝑅 𝑅 PROPN fbem-5586 140 4 , , PUNCT fbem-5586 140 5 the the DET fbem-5586 140 6 stability stability NOUN fbem-5586 140 7 of of ADP fbem-5586 140 8 basic basic ADJ fbem-5586 140 9 regeneration regeneration NOUN fbem-5586 140 10 number number NOUN fbem-5586 140 11 𝑅 𝑅 PROPN fbem-5586 140 12 depends depend VERB fbem-5586 140 13 on on ADP fbem-5586 140 14 the the DET fbem-5586 140 15 validity validity NOUN fbem-5586 140 16 of of ADP fbem-5586 140 17 parameter parameter NOUN fbem-5586 140 18 π›Όγ€π›½γ€π›Ύγ€πœ‡. π›Όγ€π›½γ€π›Ύγ€πœ‡. NUM fbem-5586 140 19 property property NOUN fbem-5586 140 20 3 3 NUM fbem-5586 140 21 : : SYM fbem-5586 140 22 0 0 NUM fbem-5586 140 23 , , PUNCT fbem-5586 140 24 0 0 NUM fbem-5586 140 25 , , PUNCT fbem-5586 140 26 indicating indicate VERB fbem-5586 140 27 that that SCONJ fbem-5586 140 28 with with ADP fbem-5586 140 29 the the DET fbem-5586 140 30 increase increase NOUN fbem-5586 140 31 of of ADP fbem-5586 140 32 the the DET fbem-5586 140 33 enterprise enterprise NOUN fbem-5586 140 34 recovery recovery NOUN fbem-5586 140 35 rate rate NOUN fbem-5586 140 36 𝛾 𝛾 PROPN fbem-5586 140 37 and and CCONJ fbem-5586 140 38 the the DET fbem-5586 140 39 increase increase NOUN fbem-5586 140 40 of of ADP fbem-5586 140 41 the the DET fbem-5586 140 42 entry entry NOUN fbem-5586 140 43 ( ( PUNCT fbem-5586 140 44 exit exit NOUN fbem-5586 140 45 ) ) PUNCT fbem-5586 140 46 rate rate NOUN fbem-5586 140 47 πœ‡ πœ‡ X fbem-5586 140 48 of of ADP fbem-5586 140 49 new new ADJ fbem-5586 140 50 enterprises enterprise NOUN fbem-5586 140 51 in in ADP fbem-5586 140 52 the the DET fbem-5586 140 53 supply supply NOUN fbem-5586 140 54 chain chain NOUN fbem-5586 140 55 network network NOUN fbem-5586 140 56 , , PUNCT fbem-5586 140 57 the the DET fbem-5586 140 58 basic basic ADJ fbem-5586 140 59 regeneration regeneration NOUN fbem-5586 140 60 number number NOUN fbem-5586 140 61 𝑅 𝑅 PROPN fbem-5586 140 62 gradually gradually ADV fbem-5586 140 63 decreases decrease VERB fbem-5586 140 64 . . PUNCT fbem-5586 141 1 furthermore furthermore ADV fbem-5586 141 2 , , PUNCT fbem-5586 141 3 if if SCONJ fbem-5586 141 4 𝛽𝛼 𝛽𝛼 PROPN fbem-5586 141 5 𝛽𝛼 𝛽𝛼 PROPN fbem-5586 141 6 𝐷 𝐷 PROPN fbem-5586 141 7 𝛼 𝛼 NOUN fbem-5586 141 8 𝛾 𝛾 NOUN fbem-5586 141 9 πœ‡ πœ‡ ADP fbem-5586 141 10 𝐷 𝐷 NOUN fbem-5586 141 11 πœ‡ πœ‡ ADP fbem-5586 141 12 𝛾 𝛾 ADP fbem-5586 141 13 πœ‡ πœ‡ ADP fbem-5586 141 14 0 0 NUM fbem-5586 141 15 , , PUNCT fbem-5586 141 16 then then ADV fbem-5586 141 17 , , PUNCT fbem-5586 141 18 then then ADV fbem-5586 141 19 the the DET fbem-5586 141 20 effect effect NOUN fbem-5586 141 21 of of ADP fbem-5586 141 22 recovery recovery NOUN fbem-5586 141 23 rate rate NOUN fbem-5586 141 24 𝛾 𝛾 PROPN fbem-5586 141 25 on on ADP fbem-5586 141 26 the the DET fbem-5586 141 27 basic basic ADJ fbem-5586 141 28 regeneration regeneration NOUN fbem-5586 141 29 number number NOUN fbem-5586 141 30 𝑅 𝑅 PROPN fbem-5586 141 31 is be AUX fbem-5586 141 32 stronger strong ADJ fbem-5586 141 33 than than ADP fbem-5586 141 34 that that PRON fbem-5586 141 35 of of ADP fbem-5586 141 36 enterprise enterprise NOUN fbem-5586 141 37 entry entry NOUN fbem-5586 141 38 ( ( PUNCT fbem-5586 141 39 exit exit NOUN fbem-5586 141 40 ) ) PUNCT fbem-5586 141 41 rate rate NOUN fbem-5586 141 42 πœ‡. πœ‡. NOUN fbem-5586 141 43 proof proof NOUN fbem-5586 141 44 : : PUNCT fbem-5586 141 45 0 0 NUM fbem-5586 141 46 , , PUNCT fbem-5586 141 47 if if SCONJ fbem-5586 141 48 0 0 NUM fbem-5586 141 49 , , PUNCT fbem-5586 141 50 0 0 NUM fbem-5586 141 51 , , PUNCT fbem-5586 141 52 then then ADV fbem-5586 141 53 . . PUNCT fbem-5586 142 1 property property NOUN fbem-5586 142 2 3 3 NUM fbem-5586 142 3 shows show VERB fbem-5586 142 4 that that SCONJ fbem-5586 142 5 with with ADP fbem-5586 142 6 the the DET fbem-5586 142 7 increase increase NOUN fbem-5586 142 8 of of ADP fbem-5586 142 9 the the DET fbem-5586 142 10 number number NOUN fbem-5586 142 11 of of ADP fbem-5586 142 12 new new ADJ fbem-5586 142 13 enterprises enterprise NOUN fbem-5586 142 14 and and CCONJ fbem-5586 142 15 the the DET fbem-5586 142 16 decrease decrease NOUN fbem-5586 142 17 of of ADP fbem-5586 142 18 the the DET fbem-5586 142 19 number number NOUN fbem-5586 142 20 of of ADP fbem-5586 142 21 original original ADJ fbem-5586 142 22 enterprises enterprise NOUN fbem-5586 142 23 , , PUNCT fbem-5586 142 24 the the DET fbem-5586 142 25 enterprises enterprise NOUN fbem-5586 142 26 in in ADP fbem-5586 142 27 the the DET fbem-5586 142 28 supply supply NOUN fbem-5586 142 29 chain chain NOUN fbem-5586 142 30 network network NOUN fbem-5586 142 31 are be AUX fbem-5586 142 32 maintaining maintain VERB fbem-5586 142 33 a a DET fbem-5586 142 34 dynamic dynamic ADJ fbem-5586 142 35 balance balance NOUN fbem-5586 142 36 of of ADP fbem-5586 142 37 upgrading upgrading NOUN fbem-5586 142 38 , , PUNCT fbem-5586 142 39 and and CCONJ fbem-5586 142 40 the the DET fbem-5586 142 41 increase increase NOUN fbem-5586 142 42 of of ADP fbem-5586 142 43 πœ‡ πœ‡ PRON fbem-5586 142 44 can can AUX fbem-5586 142 45 inhibit inhibit VERB fbem-5586 142 46 the the DET fbem-5586 142 47 spread spread NOUN fbem-5586 142 48 of of ADP fbem-5586 142 49 risks risk NOUN fbem-5586 142 50 . . PUNCT fbem-5586 143 1 as as ADP fbem-5586 143 2 the the DET fbem-5586 143 3 number number NOUN fbem-5586 143 4 of of ADP fbem-5586 143 5 risk risk NOUN fbem-5586 143 6 recovery recovery NOUN fbem-5586 143 7 enterprises enterprise NOUN fbem-5586 143 8 in in ADP fbem-5586 143 9 the the DET fbem-5586 143 10 supply supply NOUN fbem-5586 143 11 chain chain NOUN fbem-5586 143 12 network network NOUN fbem-5586 143 13 increases increase NOUN fbem-5586 143 14 , , PUNCT fbem-5586 143 15 such such ADJ fbem-5586 143 16 enterprises enterprise NOUN fbem-5586 143 17 can can AUX fbem-5586 143 18 effectively effectively ADV fbem-5586 143 19 block block VERB fbem-5586 143 20 the the DET fbem-5586 143 21 spread spread NOUN fbem-5586 143 22 of of ADP fbem-5586 143 23 risk risk NOUN fbem-5586 143 24 in in ADP fbem-5586 143 25 the the DET fbem-5586 143 26 supply supply NOUN fbem-5586 143 27 chain chain NOUN fbem-5586 143 28 network network NOUN fbem-5586 143 29 because because SCONJ fbem-5586 143 30 they they PRON fbem-5586 143 31 are be AUX fbem-5586 143 32 risk risk NOUN fbem-5586 143 33 resistant resistant ADJ fbem-5586 143 34 and and CCONJ fbem-5586 143 35 will will AUX fbem-5586 143 36 not not PART fbem-5586 143 37 re re VERB fbem-5586 143 38 - - VERB fbem-5586 143 39 infect infect VERB fbem-5586 143 40 the the DET fbem-5586 143 41 risk risk NOUN fbem-5586 143 42 for for ADP fbem-5586 143 43 a a DET fbem-5586 143 44 certain certain ADJ fbem-5586 143 45 period period NOUN fbem-5586 143 46 of of ADP fbem-5586 143 47 time time NOUN fbem-5586 143 48 , , PUNCT fbem-5586 143 49 so so CCONJ fbem-5586 143 50 the the DET fbem-5586 143 51 risk risk NOUN fbem-5586 143 52 will will AUX fbem-5586 143 53 gradually gradually ADV fbem-5586 143 54 die die VERB fbem-5586 143 55 out out ADP fbem-5586 143 56 with with ADP fbem-5586 143 57 the the DET fbem-5586 143 58 increase increase NOUN fbem-5586 143 59 of of ADP fbem-5586 143 60 𝛾 𝛾 PROPN fbem-5586 143 61 . . PUNCT fbem-5586 144 1 when when SCONJ fbem-5586 144 2 , , PUNCT fbem-5586 144 3 the the DET fbem-5586 144 4 basic basic ADJ fbem-5586 144 5 regeneration regeneration NOUN fbem-5586 144 6 number number NOUN fbem-5586 144 7 𝑅 𝑅 NOUN fbem-5586 144 8 decreases decrease NOUN fbem-5586 144 9 faster fast ADV fbem-5586 144 10 with with ADP fbem-5586 144 11 the the DET fbem-5586 144 12 increase increase NOUN fbem-5586 144 13 of of ADP fbem-5586 144 14 recovery recovery NOUN fbem-5586 144 15 rate rate NOUN fbem-5586 144 16 𝛾 𝛾 NOUN fbem-5586 144 17 than than ADP fbem-5586 144 18 with with ADP fbem-5586 144 19 the the DET fbem-5586 144 20 increase increase NOUN fbem-5586 144 21 of of ADP fbem-5586 144 22 entry entry NOUN fbem-5586 144 23 rate rate NOUN fbem-5586 144 24 πœ‡. πœ‡. NOUN fbem-5586 144 25 at at ADP fbem-5586 144 26 this this DET fbem-5586 144 27 point point NOUN fbem-5586 144 28 , , PUNCT fbem-5586 144 29 in in ADP fbem-5586 144 30 order order NOUN fbem-5586 144 31 to to PART fbem-5586 144 32 more more ADV fbem-5586 144 33 effectively effectively ADV fbem-5586 144 34 control control VERB fbem-5586 144 35 the the DET fbem-5586 144 36 spread spread NOUN fbem-5586 144 37 of of ADP fbem-5586 144 38 risks risk NOUN fbem-5586 144 39 in in ADP fbem-5586 144 40 the the DET fbem-5586 144 41 supply supply NOUN fbem-5586 144 42 chain chain NOUN fbem-5586 144 43 network network NOUN fbem-5586 144 44 , , PUNCT fbem-5586 144 45 measures measure NOUN fbem-5586 144 46 should should AUX fbem-5586 144 47 be be AUX fbem-5586 144 48 taken take VERB fbem-5586 144 49 to to PART fbem-5586 144 50 increase increase VERB fbem-5586 144 51 the the DET fbem-5586 144 52 recovery recovery NOUN fbem-5586 144 53 rate rate NOUN fbem-5586 144 54 𝛾. 𝛾. NOUN fbem-5586 144 55 property property NOUN fbem-5586 144 56 4 4 NUM fbem-5586 144 57 : : SYM fbem-5586 144 58 0 0 NUM fbem-5586 144 59 , , PUNCT fbem-5586 144 60 0 0 NUM fbem-5586 144 61 , , PUNCT fbem-5586 144 62 represents represent VERB fbem-5586 144 63 that that SCONJ fbem-5586 144 64 with with ADP fbem-5586 144 65 the the DET fbem-5586 144 66 increase increase NOUN fbem-5586 144 67 of of ADP fbem-5586 144 68 latent latent NOUN fbem-5586 144 69 conversion conversion NOUN fbem-5586 144 70 rate rate NOUN fbem-5586 144 71 𝛽 𝛽 PROPN fbem-5586 144 72 and and CCONJ fbem-5586 144 73 latent latent PROPN fbem-5586 144 74 infection infection NOUN fbem-5586 144 75 𝛼 𝛼 NOUN fbem-5586 144 76 , , PUNCT fbem-5586 144 77 the the DET fbem-5586 144 78 basic basic ADJ fbem-5586 144 79 regeneration regeneration NOUN fbem-5586 144 80 number number NOUN fbem-5586 144 81 𝑅 𝑅 NOUN fbem-5586 144 82 gradually gradually ADV fbem-5586 144 83 increases increase VERB fbem-5586 144 84 . . PUNCT fbem-5586 145 1 furthermore furthermore ADV fbem-5586 145 2 , , PUNCT fbem-5586 145 3 if if SCONJ fbem-5586 145 4 𝛼 𝛼 INTJ fbem-5586 145 5 π›Όπœ‡ π›Όπœ‡ ADJ fbem-5586 145 6 πœ‡π›½ πœ‡π›½ ADP fbem-5586 145 7 0 0 NUM fbem-5586 145 8 , , PUNCT fbem-5586 145 9 then then ADV fbem-5586 145 10 , , PUNCT fbem-5586 145 11 then then ADV fbem-5586 145 12 the the DET fbem-5586 145 13 effect effect NOUN fbem-5586 145 14 of of ADP fbem-5586 145 15 latent latent NOUN fbem-5586 145 16 conversion conversion NOUN fbem-5586 145 17 rate rate NOUN fbem-5586 145 18 𝛽 𝛽 NOUN fbem-5586 145 19 on on ADP fbem-5586 145 20 basic basic ADJ fbem-5586 145 21 regeneration regeneration NOUN fbem-5586 145 22 number number NOUN fbem-5586 145 23 𝑅 𝑅 PROPN fbem-5586 145 24 is be AUX fbem-5586 145 25 stronger strong ADJ fbem-5586 145 26 than than ADP fbem-5586 145 27 that that PRON fbem-5586 145 28 of of ADP fbem-5586 145 29 latent latent NOUN fbem-5586 145 30 infection infection NOUN fbem-5586 145 31 rate rate NOUN fbem-5586 145 32 𝛼. 𝛼. NOUN fbem-5586 145 33 proof proof NOUN fbem-5586 145 34 : : PUNCT fbem-5586 145 35 0 0 NUM fbem-5586 145 36 , , PUNCT fbem-5586 145 37 0 0 NUM fbem-5586 145 38 , , PUNCT fbem-5586 145 39 , , PUNCT fbem-5586 145 40 if if SCONJ fbem-5586 145 41 𝛼 𝛼 INTJ fbem-5586 145 42 π›Όπœ‡ π›Όπœ‡ ADJ fbem-5586 145 43 πœ‡π›½ πœ‡π›½ ADP fbem-5586 145 44 0,then 0,then NOUN fbem-5586 145 45 . . PUNCT fbem-5586 146 1 property property NOUN fbem-5586 146 2 4 4 NUM fbem-5586 146 3 shows show VERB fbem-5586 146 4 that that SCONJ fbem-5586 146 5 the the DET fbem-5586 146 6 enterprises enterprise NOUN fbem-5586 146 7 in in ADP fbem-5586 146 8 the the DET fbem-5586 146 9 risk risk NOUN fbem-5586 146 10 infection infection NOUN fbem-5586 146 11 in in ADP fbem-5586 146 12 the the DET fbem-5586 146 13 supply supply NOUN fbem-5586 146 14 chain chain NOUN fbem-5586 146 15 network network NOUN fbem-5586 146 16 are be AUX fbem-5586 146 17 spreading spread VERB fbem-5586 146 18 the the DET fbem-5586 146 19 risk risk NOUN fbem-5586 146 20 to to ADP fbem-5586 146 21 the the DET fbem-5586 146 22 upstream upstream ADJ fbem-5586 146 23 and and CCONJ fbem-5586 146 24 downstream downstream ADJ fbem-5586 146 25 related relate VERB fbem-5586 146 26 enterprises enterprise NOUN fbem-5586 146 27 through through ADP fbem-5586 146 28 business business NOUN fbem-5586 146 29 transactions transaction NOUN fbem-5586 146 30 , , PUNCT fbem-5586 146 31 making make VERB fbem-5586 146 32 the the DET fbem-5586 146 33 number number NOUN fbem-5586 146 34 of of ADP fbem-5586 146 35 enterprises enterprise NOUN fbem-5586 146 36 with with ADP fbem-5586 146 37 potential potential ADJ fbem-5586 146 38 risks risk NOUN fbem-5586 146 39 increasing increase VERB fbem-5586 146 40 , , PUNCT fbem-5586 146 41 and and CCONJ fbem-5586 146 42 then then ADV fbem-5586 146 43 the the DET fbem-5586 146 44 number number NOUN fbem-5586 146 45 of of ADP fbem-5586 146 46 enterprises enterprise NOUN fbem-5586 146 47 with with ADP fbem-5586 146 48 latent latent NOUN fbem-5586 146 49 risks risk NOUN fbem-5586 146 50 turning turn VERB fbem-5586 146 51 into into ADP fbem-5586 146 52 enterprises enterprise NOUN fbem-5586 146 53 with with ADP fbem-5586 146 54 risk risk NOUN fbem-5586 146 55 infection infection NOUN fbem-5586 146 56 increases increase NOUN fbem-5586 146 57 , , PUNCT fbem-5586 146 58 and and CCONJ fbem-5586 146 59 the the DET fbem-5586 146 60 risk risk NOUN fbem-5586 146 61 is be AUX fbem-5586 146 62 in in ADP fbem-5586 146 63 the the DET fbem-5586 146 64 stage stage NOUN fbem-5586 146 65 of of ADP fbem-5586 146 66 diffusion diffusion NOUN fbem-5586 146 67 . . PUNCT fbem-5586 147 1 at at ADP fbem-5586 147 2 this this DET fbem-5586 147 3 time time NOUN fbem-5586 147 4 , , PUNCT fbem-5586 147 5 relevant relevant ADJ fbem-5586 147 6 departments department NOUN fbem-5586 147 7 or or CCONJ fbem-5586 147 8 enterprises enterprise NOUN fbem-5586 147 9 should should AUX fbem-5586 147 10 take take VERB fbem-5586 147 11 timely timely ADJ fbem-5586 147 12 countermeasures countermeasure NOUN fbem-5586 147 13 to to PART fbem-5586 147 14 control control VERB fbem-5586 147 15 latent latent NOUN fbem-5586 147 16 conversion conversion NOUN fbem-5586 147 17 rate rate NOUN fbem-5586 147 18 𝛽and 𝛽and NOUN fbem-5586 147 19 latent latent PROPN fbem-5586 147 20 infection infection NOUN fbem-5586 147 21 rate rate NOUN fbem-5586 147 22 𝛼 𝛼 NOUN fbem-5586 147 23 , , PUNCT fbem-5586 147 24 so so SCONJ fbem-5586 147 25 as as SCONJ fbem-5586 147 26 to to PART fbem-5586 147 27 reduce reduce VERB fbem-5586 147 28 the the DET fbem-5586 147 29 basic basic ADJ fbem-5586 147 30 regeneration regeneration NOUN fbem-5586 147 31 number number NOUN fbem-5586 147 32 𝑅 𝑅 NOUN fbem-5586 147 33 and and CCONJ fbem-5586 147 34 inhibit inhibit VERB fbem-5586 147 35 the the DET fbem-5586 147 36 spread spread NOUN fbem-5586 147 37 of of ADP fbem-5586 147 38 risks risk NOUN fbem-5586 147 39 in in ADP fbem-5586 147 40 the the DET fbem-5586 147 41 supply supply NOUN fbem-5586 147 42 chain chain NOUN fbem-5586 147 43 network network NOUN fbem-5586 147 44 . . PUNCT fbem-5586 148 1 when when SCONJ fbem-5586 148 2 is be AUX fbem-5586 148 3 used use VERB fbem-5586 148 4 , , PUNCT fbem-5586 148 5 the the DET fbem-5586 148 6 basic basic ADJ fbem-5586 148 7 regeneration regeneration NOUN fbem-5586 148 8 number number NOUN fbem-5586 148 9 𝑅 𝑅 NOUN fbem-5586 148 10 increases increase VERB fbem-5586 148 11 with with ADP fbem-5586 148 12 the the DET fbem-5586 148 13 increase increase NOUN fbem-5586 148 14 of of ADP fbem-5586 148 15 latent latent NOUN fbem-5586 148 16 conversion conversion NOUN fbem-5586 148 17 rate rate NOUN fbem-5586 148 18 𝛽 𝛽 NOUN fbem-5586 148 19 faster fast ADV fbem-5586 148 20 than than ADP fbem-5586 148 21 the the DET fbem-5586 148 22 increase increase NOUN fbem-5586 148 23 of of ADP fbem-5586 148 24 infection infection NOUN fbem-5586 148 25 rate rate NOUN fbem-5586 148 26 𝛼 𝛼 PROPN fbem-5586 148 27 . . PUNCT fbem-5586 149 1 at at ADP fbem-5586 149 2 this this DET fbem-5586 149 3 time time NOUN fbem-5586 149 4 , , PUNCT fbem-5586 149 5 in in ADP fbem-5586 149 6 order order NOUN fbem-5586 149 7 to to PART fbem-5586 149 8 more more ADV fbem-5586 149 9 effectively effectively ADV fbem-5586 149 10 control control VERB fbem-5586 149 11 the the DET fbem-5586 149 12 spread spread NOUN fbem-5586 149 13 of of ADP fbem-5586 149 14 risks risk NOUN fbem-5586 149 15 in in ADP fbem-5586 149 16 the the DET fbem-5586 149 17 supply supply NOUN fbem-5586 149 18 chain chain NOUN fbem-5586 149 19 network network NOUN fbem-5586 149 20 , , PUNCT fbem-5586 149 21 measures measure NOUN fbem-5586 149 22 should should AUX fbem-5586 149 23 be be AUX fbem-5586 149 24 taken take VERB fbem-5586 149 25 to to PART fbem-5586 149 26 reduce reduce VERB fbem-5586 149 27 the the DET fbem-5586 149 28 latent latent NOUN fbem-5586 149 29 conversion conversion NOUN fbem-5586 149 30 rate rate NOUN fbem-5586 149 31 𝛽. 𝛽. NOUN fbem-5586 149 32 3 3 NUM fbem-5586 149 33 . . PUNCT fbem-5586 149 34 simulation simulation NOUN fbem-5586 149 35 in in ADP fbem-5586 149 36 order order NOUN fbem-5586 149 37 to to PART fbem-5586 149 38 visually visually ADV fbem-5586 149 39 describe describe VERB fbem-5586 149 40 the the DET fbem-5586 149 41 communication communication NOUN fbem-5586 149 42 rules rule NOUN fbem-5586 149 43 of of ADP fbem-5586 149 44 supply supply NOUN fbem-5586 149 45 chain chain NOUN fbem-5586 149 46 network network NOUN fbem-5586 149 47 risk risk NOUN fbem-5586 149 48 and and CCONJ fbem-5586 149 49 the the DET fbem-5586 149 50 role role NOUN fbem-5586 149 51 of of ADP fbem-5586 149 52 government government NOUN fbem-5586 149 53 intervention intervention NOUN fbem-5586 149 54 under under ADP fbem-5586 149 55 public public ADJ fbem-5586 149 56 emergencies emergency NOUN fbem-5586 149 57 , , PUNCT fbem-5586 149 58 matlab matlab PROPN fbem-5586 149 59 was be AUX fbem-5586 149 60 used use VERB fbem-5586 149 61 to to PART fbem-5586 149 62 conduct conduct VERB fbem-5586 149 63 simulation simulation NOUN fbem-5586 149 64 experiments experiment NOUN fbem-5586 149 65 . . PUNCT fbem-5586 150 1 3.1 3.1 NUM fbem-5586 150 2 . . PUNCT fbem-5586 150 3 parameter parameter NOUN fbem-5586 150 4 setting set VERB fbem-5586 150 5 when when SCONJ fbem-5586 150 6 the the DET fbem-5586 150 7 risk risk NOUN fbem-5586 150 8 breaks break VERB fbem-5586 150 9 out out ADP fbem-5586 150 10 in in ADP fbem-5586 150 11 the the DET fbem-5586 150 12 supply supply NOUN fbem-5586 150 13 chain chain NOUN fbem-5586 150 14 network network NOUN fbem-5586 150 15 , , PUNCT fbem-5586 150 16 it it PRON fbem-5586 150 17 is be AUX fbem-5586 150 18 assumed assume VERB fbem-5586 150 19 that that SCONJ fbem-5586 150 20 in in ADP fbem-5586 150 21 the the DET fbem-5586 150 22 initial initial ADJ fbem-5586 150 23 state state NOUN fbem-5586 150 24 , , PUNCT fbem-5586 150 25 there there PRON fbem-5586 150 26 are be VERB fbem-5586 150 27 𝐼 𝐼 ADP fbem-5586 150 28 enterprises enterprise NOUN fbem-5586 150 29 infected infect VERB fbem-5586 150 30 with with ADP fbem-5586 150 31 the the DET fbem-5586 150 32 risk risk NOUN fbem-5586 150 33 and and CCONJ fbem-5586 150 34 become become VERB fbem-5586 150 35 the the DET fbem-5586 150 36 source source NOUN fbem-5586 150 37 of of ADP fbem-5586 150 38 risk risk NOUN fbem-5586 150 39 transmission transmission NOUN fbem-5586 150 40 . . PUNCT fbem-5586 151 1 during during ADP fbem-5586 151 2 the the DET fbem-5586 151 3 period period NOUN fbem-5586 151 4 t t PROPN fbem-5586 151 5 , , PUNCT fbem-5586 151 6 the the DET fbem-5586 151 7 risk risk NOUN fbem-5586 151 8 is be AUX fbem-5586 151 9 spread spread VERB fbem-5586 151 10 in in ADP fbem-5586 151 11 the the DET fbem-5586 151 12 supply supply NOUN fbem-5586 151 13 chain chain NOUN fbem-5586 151 14 network network NOUN fbem-5586 151 15 through through ADP fbem-5586 151 16 the the DET fbem-5586 151 17 upstream upstream ADJ fbem-5586 151 18 and and CCONJ fbem-5586 151 19 downstream downstream ADJ fbem-5586 151 20 related relate VERB fbem-5586 151 21 enterprises enterprise NOUN fbem-5586 151 22 . . PUNCT fbem-5586 152 1 the the DET fbem-5586 152 2 parameters parameter NOUN fbem-5586 152 3 are be AUX fbem-5586 152 4 shown show VERB fbem-5586 152 5 in in ADP fbem-5586 152 6 table table NOUN fbem-5586 152 7 2 2 NUM fbem-5586 152 8 . . PUNCT fbem-5586 152 9 table table NOUN fbem-5586 152 10 2 2 NUM fbem-5586 152 11 . . PUNCT fbem-5586 152 12 related relate VERB fbem-5586 152 13 parameters parameter NOUN fbem-5586 152 14 of of ADP fbem-5586 152 15 simulation simulation NOUN fbem-5586 152 16 experiment experiment NOUN fbem-5586 152 17 parameter parameter PROPN fbem-5586 152 18 definition definition NOUN fbem-5586 152 19 estimated estimate VERB fbem-5586 152 20 value value NOUN fbem-5586 152 21 𝜢 𝜢 ADP fbem-5586 152 22 infection infection NOUN fbem-5586 152 23 rate rate NOUN fbem-5586 152 24 0.25 0.25 NUM fbem-5586 152 25 𝜷 𝜷 NOUN fbem-5586 152 26 latent latent NOUN fbem-5586 152 27 conversion conversion NOUN fbem-5586 152 28 rate rate NOUN fbem-5586 152 29 0.40 0.40 NUM fbem-5586 152 30 𝒓 𝒓 PROPN fbem-5586 152 31 risk risk NOUN fbem-5586 152 32 recovery recovery NOUN fbem-5586 152 33 rate rate NOUN fbem-5586 152 34 0.38 0.38 NUM fbem-5586 152 35 𝝁 𝝁 DET fbem-5586 152 36 entry entry NOUN fbem-5586 152 37 ( ( PUNCT fbem-5586 152 38 exit exit NOUN fbem-5586 152 39 ) ) PUNCT fbem-5586 152 40 rate rate NOUN fbem-5586 152 41 0.03 0.03 NUM fbem-5586 152 42 𝑡 𝑡 PROPN fbem-5586 152 43 number number NOUN fbem-5586 152 44 of of ADP fbem-5586 152 45 enterprises enterprise NOUN fbem-5586 152 46 in in ADP fbem-5586 152 47 period period NOUN fbem-5586 152 48 t t PROPN fbem-5586 152 49 period period NOUN fbem-5586 152 50 1000 1000 NUM fbem-5586 152 51 𝑻 𝑻 NOUN fbem-5586 152 52 time time NOUN fbem-5586 152 53 ( ( PUNCT fbem-5586 152 54 day day NOUN fbem-5586 152 55 ) ) PUNCT fbem-5586 152 56 300 300 NUM fbem-5586 152 57 π‘°πŸŽ π‘°πŸŽ ADJ fbem-5586 152 58 number number NOUN fbem-5586 152 59 of of ADP fbem-5586 152 60 enterprises enterprise NOUN fbem-5586 152 61 initially initially ADV fbem-5586 152 62 infected infect VERB fbem-5586 152 63 150 150 NUM fbem-5586 152 64 3.2 3.2 NUM fbem-5586 152 65 . . PUNCT fbem-5586 153 1 zero zero NUM fbem-5586 153 2 equilibrium equilibrium NOUN fbem-5586 153 3 point point NOUN fbem-5586 153 4 simulation simulation NOUN fbem-5586 153 5 experiment experiment NOUN fbem-5586 153 6 the the DET fbem-5586 153 7 basic basic ADJ fbem-5586 153 8 regeneration regeneration NOUN fbem-5586 153 9 number number NOUN fbem-5586 153 10 𝑅 𝑅 PROPN fbem-5586 153 11 0.37037 0.37037 NUM fbem-5586 153 12 1 1 NUM fbem-5586 153 13 of of ADP fbem-5586 153 14 2 2 NUM fbem-5586 153 15 in in ADP fbem-5586 153 16 this this DET fbem-5586 153 17 case case NOUN fbem-5586 153 18 is be AUX fbem-5586 153 19 calculated calculate VERB fbem-5586 153 20 according accord VERB fbem-5586 153 21 to to ADP fbem-5586 153 22 the the DET fbem-5586 153 23 parameter parameter NOUN fbem-5586 153 24 values value NOUN fbem-5586 153 25 in in ADP fbem-5586 153 26 table table NOUN fbem-5586 153 27 3 3 NUM fbem-5586 153 28 . . PUNCT fbem-5586 154 1 it it PRON fbem-5586 154 2 can can AUX fbem-5586 154 3 be be AUX fbem-5586 154 4 seen see VERB fbem-5586 154 5 that that SCONJ fbem-5586 154 6 the the DET fbem-5586 154 7 risk risk NOUN fbem-5586 154 8 will will AUX fbem-5586 154 9 not not PART fbem-5586 154 10 spread spread VERB fbem-5586 154 11 continuously continuously ADV fbem-5586 154 12 , , PUNCT fbem-5586 154 13 and and CCONJ fbem-5586 154 14 there there PRON fbem-5586 154 15 is be VERB fbem-5586 154 16 a a DET fbem-5586 154 17 zero zero NUM fbem-5586 154 18 equilibrium equilibrium NOUN fbem-5586 154 19 point point NOUN fbem-5586 154 20 in in ADP fbem-5586 154 21 the the DET fbem-5586 154 22 system system NOUN fbem-5586 154 23 . . PUNCT fbem-5586 155 1 simulation simulation NOUN fbem-5586 155 2 experiment experiment NOUN fbem-5586 155 3 1 1 NUM fbem-5586 155 4 : : PUNCT fbem-5586 155 5 according accord VERB fbem-5586 155 6 to to ADP fbem-5586 155 7 ( ( PUNCT fbem-5586 155 8 2 2 NUM fbem-5586 155 9 ) ) PUNCT fbem-5586 155 10 , , PUNCT fbem-5586 155 11 simulation simulation NOUN fbem-5586 155 12 experiments experiment NOUN fbem-5586 155 13 are be AUX fbem-5586 155 14 conducted conduct VERB fbem-5586 155 15 on on ADP fbem-5586 155 16 parameters parameter NOUN fbem-5586 155 17 in in ADP fbem-5586 155 18 table table NOUN fbem-5586 155 19 3 3 NUM fbem-5586 155 20 , , PUNCT fbem-5586 155 21 and and CCONJ fbem-5586 155 22 simulation simulation NOUN fbem-5586 155 23 results result NOUN fbem-5586 155 24 of of ADP fbem-5586 155 25 the the DET fbem-5586 155 26 system system NOUN fbem-5586 155 27 with with ADP fbem-5586 155 28 zero zero NUM fbem-5586 155 29 equilibrium equilibrium NOUN fbem-5586 155 30 point point NOUN fbem-5586 155 31 are be AUX fbem-5586 155 32 obtained obtain VERB fbem-5586 155 33 , , PUNCT fbem-5586 155 34 as as SCONJ fbem-5586 155 35 shown show VERB fbem-5586 155 36 in in ADP fbem-5586 155 37 figure figure NOUN fbem-5586 155 38 2 2 NUM fbem-5586 155 39 . . PUNCT fbem-5586 156 1 it it PRON fbem-5586 156 2 shows show VERB fbem-5586 156 3 that that SCONJ fbem-5586 156 4 in in ADP fbem-5586 156 5 period period NOUN fbem-5586 156 6 t t PROPN fbem-5586 156 7 , , PUNCT fbem-5586 156 8 the the DET fbem-5586 156 9 number number NOUN fbem-5586 156 10 of of ADP fbem-5586 156 11 risk risk NOUN fbem-5586 156 12 - - PUNCT fbem-5586 156 13 susceptible susceptible ADJ fbem-5586 156 14 enterprises enterprise NOUN fbem-5586 156 15 experienced experience VERB fbem-5586 156 16 a a DET fbem-5586 156 17 rapid rapid ADJ fbem-5586 156 18 decline decline NOUN fbem-5586 156 19 in in ADP fbem-5586 156 20 a a DET fbem-5586 156 21 short short ADJ fbem-5586 156 22 period period NOUN fbem-5586 156 23 , , PUNCT fbem-5586 156 24 and and CCONJ fbem-5586 156 25 gradually gradually ADV fbem-5586 156 26 rose rise VERB fbem-5586 156 27 steadily steadily ADV fbem-5586 156 28 to to ADP fbem-5586 156 29 1000 1000 NUM fbem-5586 156 30 when when SCONJ fbem-5586 156 31 the the DET fbem-5586 156 32 number number NOUN fbem-5586 156 33 reached reach VERB fbem-5586 156 34 about about ADP fbem-5586 156 35 700 700 NUM fbem-5586 156 36 . . PUNCT fbem-5586 157 1 the the DET fbem-5586 157 2 number number NOUN fbem-5586 157 3 of of ADP fbem-5586 157 4 latent latent NOUN fbem-5586 157 5 enterprises enterprise NOUN fbem-5586 157 6 increased increase VERB fbem-5586 157 7 rapidly rapidly ADV fbem-5586 157 8 in in ADP fbem-5586 157 9 a a DET fbem-5586 157 10 short short ADJ fbem-5586 157 11 period period NOUN fbem-5586 157 12 of of ADP fbem-5586 157 13 time time NOUN fbem-5586 157 14 , , PUNCT fbem-5586 157 15 and and CCONJ fbem-5586 157 16 the the DET fbem-5586 157 17 number number NOUN fbem-5586 157 18 began begin VERB fbem-5586 157 19 to to PART fbem-5586 157 20 decline decline VERB fbem-5586 157 21 until until ADP fbem-5586 157 22 zero zero NUM fbem-5586 157 23 at at ADP fbem-5586 157 24 80 80 NUM fbem-5586 157 25 ; ; PUNCT fbem-5586 157 26 from from ADP fbem-5586 157 27 the the DET fbem-5586 157 28 initial initial ADJ fbem-5586 157 29 number number NOUN fbem-5586 157 30 of of ADP fbem-5586 157 31 150 150 NUM fbem-5586 157 32 , , PUNCT fbem-5586 157 33 the the DET fbem-5586 157 34 number number NOUN fbem-5586 157 35 of of ADP fbem-5586 157 36 enterprises enterprise NOUN fbem-5586 157 37 with with ADP fbem-5586 157 38 infection infection NOUN fbem-5586 157 39 risk risk NOUN fbem-5586 157 40 showed show VERB fbem-5586 157 41 a a DET fbem-5586 157 42 gradual gradual ADJ fbem-5586 157 43 decline decline NOUN fbem-5586 157 44 , , PUNCT fbem-5586 157 45 indicating indicate VERB fbem-5586 157 46 that that SCONJ fbem-5586 157 47 because because SCONJ fbem-5586 157 48 𝑅 𝑅 PROPN fbem-5586 157 49 0.37037 0.37037 NUM fbem-5586 157 50 1 1 NUM fbem-5586 157 51 , , PUNCT fbem-5586 157 52 the the DET fbem-5586 157 53 risk risk NOUN fbem-5586 157 54 did do AUX fbem-5586 157 55 not not PART fbem-5586 157 56 continue continue VERB fbem-5586 157 57 to to PART fbem-5586 157 58 break break VERB fbem-5586 157 59 out out ADP fbem-5586 157 60 in in ADP fbem-5586 157 61 the the DET fbem-5586 157 62 system system NOUN fbem-5586 157 63 , , PUNCT fbem-5586 157 64 but but CCONJ fbem-5586 157 65 gradually gradually ADV fbem-5586 157 66 dissipated dissipate VERB fbem-5586 157 67 . . PUNCT fbem-5586 158 1 the the DET fbem-5586 158 2 number number NOUN fbem-5586 158 3 of of ADP fbem-5586 158 4 recovered recover VERB fbem-5586 158 5 enterprises enterprise NOUN fbem-5586 158 6 increased increase VERB fbem-5586 158 7 rapidly rapidly ADV fbem-5586 158 8 to to ADP fbem-5586 158 9 280 280 NUM fbem-5586 158 10 within within ADP fbem-5586 158 11 0 0 NUM fbem-5586 158 12 - - SYM fbem-5586 158 13 30 30 NUM fbem-5586 158 14 days day NOUN fbem-5586 158 15 , , PUNCT fbem-5586 158 16 and and CCONJ fbem-5586 158 17 then then ADV fbem-5586 158 18 gradually gradually ADV fbem-5586 158 19 decreased decrease VERB fbem-5586 158 20 to to ADP fbem-5586 158 21 zero zero NUM fbem-5586 158 22 . . PUNCT fbem-5586 159 1 the the DET fbem-5586 159 2 above above ADJ fbem-5586 159 3 results result NOUN fbem-5586 159 4 show show VERB fbem-5586 159 5 that that SCONJ fbem-5586 159 6 when when SCONJ fbem-5586 159 7 𝑅 𝑅 PROPN fbem-5586 159 8 1 1 NUM fbem-5586 159 9 , , PUNCT fbem-5586 159 10 zep zep PROPN fbem-5586 159 11 𝑃 𝑃 PROPN fbem-5586 159 12 exists exist VERB fbem-5586 159 13 in in ADP fbem-5586 159 14 the the DET fbem-5586 159 15 system system NOUN fbem-5586 159 16 . . PUNCT fbem-5586 160 1 in in ADP fbem-5586 160 2 this this DET fbem-5586 160 3 case case NOUN fbem-5586 160 4 , , PUNCT fbem-5586 160 5 250 250 NUM fbem-5586 160 6 although although SCONJ fbem-5586 160 7 there there PRON fbem-5586 160 8 is be VERB fbem-5586 160 9 risk risk NOUN fbem-5586 160 10 diffusion diffusion NOUN fbem-5586 160 11 among among ADP fbem-5586 160 12 enterprises enterprise NOUN fbem-5586 160 13 in in ADP fbem-5586 160 14 the the DET fbem-5586 160 15 supply supply NOUN fbem-5586 160 16 chain chain NOUN fbem-5586 160 17 network network NOUN fbem-5586 160 18 in in ADP fbem-5586 160 19 a a DET fbem-5586 160 20 certain certain ADJ fbem-5586 160 21 period period NOUN fbem-5586 160 22 of of ADP fbem-5586 160 23 time time NOUN fbem-5586 160 24 , , PUNCT fbem-5586 160 25 enterprises enterprise NOUN fbem-5586 160 26 with with ADP fbem-5586 160 27 risk risk NOUN fbem-5586 160 28 infection infection NOUN fbem-5586 160 29 and and CCONJ fbem-5586 160 30 enterprises enterprise NOUN fbem-5586 160 31 with with ADP fbem-5586 160 32 latency latency NOUN fbem-5586 160 33 will will AUX fbem-5586 160 34 gradually gradually ADV fbem-5586 160 35 recover recover VERB fbem-5586 160 36 from from ADP fbem-5586 160 37 the the DET fbem-5586 160 38 risk risk NOUN fbem-5586 160 39 at at ADP fbem-5586 160 40 a a DET fbem-5586 160 41 certain certain ADJ fbem-5586 160 42 rate rate NOUN fbem-5586 160 43 until until SCONJ fbem-5586 160 44 they they PRON fbem-5586 160 45 break break VERB fbem-5586 160 46 away away ADV fbem-5586 160 47 from from ADP fbem-5586 160 48 the the DET fbem-5586 160 49 risk risk NOUN fbem-5586 160 50 . . PUNCT fbem-5586 161 1 this this PRON fbem-5586 161 2 is be AUX fbem-5586 161 3 consistent consistent ADJ fbem-5586 161 4 with with ADP fbem-5586 161 5 the the DET fbem-5586 161 6 result result NOUN fbem-5586 161 7 in in ADP fbem-5586 161 8 property property NOUN fbem-5586 161 9 1 1 NUM fbem-5586 161 10 that that PRON fbem-5586 161 11 the the DET fbem-5586 161 12 zep zep PROPN fbem-5586 161 13 𝑃 𝑃 PROPN fbem-5586 161 14 of of ADP fbem-5586 161 15 the the DET fbem-5586 161 16 system system NOUN fbem-5586 161 17 is be AUX fbem-5586 161 18 locally locally ADV fbem-5586 161 19 asymptotically asymptotically ADV fbem-5586 161 20 stable stable ADJ fbem-5586 161 21 on on ADP fbem-5586 161 22 t t PROPN fbem-5586 161 23 when𝑅 when𝑅 PROPN fbem-5586 161 24 1 1 X fbem-5586 161 25 . . PUNCT fbem-5586 161 26 figure figure NOUN fbem-5586 161 27 2 2 NUM fbem-5586 161 28 . . PUNCT fbem-5586 161 29 simulation simulation NOUN fbem-5586 161 30 experiment experiment NOUN fbem-5586 161 31 of of ADP fbem-5586 161 32 zep zep PROPN fbem-5586 161 33 simulation simulation PROPN fbem-5586 161 34 experiment experiment NOUN fbem-5586 161 35 2 2 NUM fbem-5586 161 36 : : PUNCT fbem-5586 161 37 in in ADP fbem-5586 161 38 order order NOUN fbem-5586 161 39 to to PART fbem-5586 161 40 observe observe VERB fbem-5586 161 41 the the DET fbem-5586 161 42 impact impact NOUN fbem-5586 161 43 of of ADP fbem-5586 161 44 the the DET fbem-5586 161 45 change change NOUN fbem-5586 161 46 of of ADP fbem-5586 161 47 infection infection NOUN fbem-5586 161 48 rate rate NOUN fbem-5586 161 49 on on ADP fbem-5586 161 50 risk risk NOUN fbem-5586 161 51 transmission transmission NOUN fbem-5586 161 52 and and CCONJ fbem-5586 161 53 𝑅 𝑅 PROPN fbem-5586 161 54 , , PUNCT fbem-5586 161 55 the the DET fbem-5586 161 56 infection infection NOUN fbem-5586 161 57 rate rate NOUN fbem-5586 161 58 𝛼 𝛼 PROPN fbem-5586 161 59 of of ADP fbem-5586 161 60 latent latent NOUN fbem-5586 161 61 enterprises enterprise NOUN fbem-5586 161 62 was be AUX fbem-5586 161 63 adjusted adjust VERB fbem-5586 161 64 on on ADP fbem-5586 161 65 the the DET fbem-5586 161 66 basis basis NOUN fbem-5586 161 67 of of ADP fbem-5586 161 68 experiment experiment NOUN fbem-5586 161 69 1 1 NUM fbem-5586 161 70 , , PUNCT fbem-5586 161 71 where where SCONJ fbem-5586 161 72 𝛼 𝛼 NOUN fbem-5586 161 73 0.25 0.25 NUM fbem-5586 161 74 was be AUX fbem-5586 161 75 the the DET fbem-5586 161 76 initial initial ADJ fbem-5586 161 77 value value NOUN fbem-5586 161 78 . . PUNCT fbem-5586 162 1 table table NOUN fbem-5586 162 2 3 3 NUM fbem-5586 162 3 . . PUNCT fbem-5586 162 4 simulation simulation NOUN fbem-5586 162 5 experiment experiment NOUN fbem-5586 162 6 𝜢 𝜢 ADP fbem-5586 162 7 0.175 0.175 NUM fbem-5586 162 8 0.25 0.25 NUM fbem-5586 162 9 0.5 0.5 NUM fbem-5586 162 10 0.75 0.75 NUM fbem-5586 162 11 π‘ΉπŸŽ π‘ΉπŸŽ NOUN fbem-5586 162 12 0.296 0.296 NUM fbem-5586 162 13 0.370 0.370 NUM fbem-5586 162 14 0.457 0.457 NUM fbem-5586 162 15 0.563 0.563 NUM fbem-5586 162 16 in in ADP fbem-5586 162 17 experiment experiment NOUN fbem-5586 162 18 2 2 NUM fbem-5586 162 19 , , PUNCT fbem-5586 162 20 the the DET fbem-5586 162 21 above above ADJ fbem-5586 162 22 adjustment adjustment NOUN fbem-5586 162 23 is be AUX fbem-5586 162 24 made make VERB fbem-5586 162 25 on on ADP fbem-5586 162 26 𝛼 𝛼 PRON fbem-5586 162 27 respectively respectively ADV fbem-5586 162 28 , , PUNCT fbem-5586 162 29 and and CCONJ fbem-5586 162 30 the the DET fbem-5586 162 31 corresponding corresponding PROPN fbem-5586 162 32 𝑅 𝑅 PROPN fbem-5586 162 33 is be AUX fbem-5586 162 34 obtained obtain VERB fbem-5586 162 35 , , PUNCT fbem-5586 162 36 and and CCONJ fbem-5586 162 37 𝑅 𝑅 PROPN fbem-5586 162 38 is be AUX fbem-5586 162 39 less less ADJ fbem-5586 162 40 than than ADP fbem-5586 162 41 1 1 NUM fbem-5586 162 42 . . PUNCT fbem-5586 163 1 the the DET fbem-5586 163 2 simulation simulation NOUN fbem-5586 163 3 results result NOUN fbem-5586 163 4 are be AUX fbem-5586 163 5 shown show VERB fbem-5586 163 6 in in ADP fbem-5586 163 7 figure figure NOUN fbem-5586 163 8 3 3 NUM fbem-5586 163 9 to to PART fbem-5586 163 10 figure figure VERB fbem-5586 163 11 6 6 NUM fbem-5586 163 12 . . PUNCT fbem-5586 164 1 it it PRON fbem-5586 164 2 can can AUX fbem-5586 164 3 be be AUX fbem-5586 164 4 seen see VERB fbem-5586 164 5 that that SCONJ fbem-5586 164 6 with with ADP fbem-5586 164 7 the the DET fbem-5586 164 8 increase increase NOUN fbem-5586 164 9 of of ADP fbem-5586 164 10 𝛼 𝛼 NOUN fbem-5586 164 11 from from ADP fbem-5586 164 12 𝛼 𝛼 PRON fbem-5586 164 13 to to ADP fbem-5586 164 14 3𝛼 3𝛼 PRON fbem-5586 164 15 , , PUNCT fbem-5586 164 16 𝑅 𝑅 PROPN fbem-5586 164 17 also also ADV fbem-5586 164 18 increases increase VERB fbem-5586 164 19 , , PUNCT fbem-5586 164 20 and and CCONJ fbem-5586 164 21 the the DET fbem-5586 164 22 minimum minimum ADJ fbem-5586 164 23 value value NOUN fbem-5586 164 24 of of ADP fbem-5586 164 25 the the DET fbem-5586 164 26 number number NOUN fbem-5586 164 27 of of ADP fbem-5586 164 28 risk risk NOUN fbem-5586 164 29 - - PUNCT fbem-5586 164 30 sensitive sensitive ADJ fbem-5586 164 31 enterprises enterprise NOUN fbem-5586 164 32 decreases decrease VERB fbem-5586 164 33 from from ADP fbem-5586 164 34 750 750 NUM fbem-5586 164 35 to to PART fbem-5586 164 36 630 630 NUM fbem-5586 164 37 . . PUNCT fbem-5586 165 1 the the DET fbem-5586 165 2 incubation incubation NOUN fbem-5586 165 3 period period NOUN fbem-5586 165 4 for for ADP fbem-5586 165 5 the the DET fbem-5586 165 6 number number NOUN fbem-5586 165 7 of of ADP fbem-5586 165 8 enterprises enterprise NOUN fbem-5586 165 9 to to PART fbem-5586 165 10 fall fall VERB fbem-5586 165 11 to to ADP fbem-5586 165 12 0 0 NUM fbem-5586 165 13 was be AUX fbem-5586 165 14 shortened shorten VERB fbem-5586 165 15 from from ADP fbem-5586 165 16 53 53 NUM fbem-5586 165 17 days day NOUN fbem-5586 165 18 to to ADP fbem-5586 165 19 25 25 NUM fbem-5586 165 20 days day NOUN fbem-5586 165 21 . . PUNCT fbem-5586 166 1 the the DET fbem-5586 166 2 decline decline NOUN fbem-5586 166 3 in in ADP fbem-5586 166 4 the the DET fbem-5586 166 5 number number NOUN fbem-5586 166 6 of of ADP fbem-5586 166 7 infected infect VERB fbem-5586 166 8 enterprises enterprise NOUN fbem-5586 166 9 also also ADV fbem-5586 166 10 slowed slow VERB fbem-5586 166 11 down down ADP fbem-5586 166 12 from from ADP fbem-5586 166 13 fast fast ADV fbem-5586 166 14 ; ; PUNCT fbem-5586 166 15 the the DET fbem-5586 166 16 number number NOUN fbem-5586 166 17 of of ADP fbem-5586 166 18 recovered recovered ADJ fbem-5586 166 19 businesses business NOUN fbem-5586 166 20 peaked peak VERB fbem-5586 166 21 at at ADP fbem-5586 166 22 340 340 NUM fbem-5586 166 23 , , PUNCT fbem-5586 166 24 up up ADV fbem-5586 166 25 from from ADP fbem-5586 166 26 200 200 NUM fbem-5586 166 27 , , PUNCT fbem-5586 166 28 and and CCONJ fbem-5586 166 29 peaked peak VERB fbem-5586 166 30 15 15 NUM fbem-5586 166 31 days day NOUN fbem-5586 166 32 earlier early ADV fbem-5586 166 33 . . PUNCT fbem-5586 167 1 the the DET fbem-5586 167 2 above above ADJ fbem-5586 167 3 results result NOUN fbem-5586 167 4 show show VERB fbem-5586 167 5 that that SCONJ fbem-5586 167 6 the the PRON fbem-5586 167 7 higher high ADJ fbem-5586 167 8 the the DET fbem-5586 167 9 infection infection NOUN fbem-5586 167 10 rate rate NOUN fbem-5586 167 11 of of ADP fbem-5586 167 12 latent latent NOUN fbem-5586 167 13 enterprises enterprise NOUN fbem-5586 167 14 𝛼 𝛼 VERB fbem-5586 167 15 , , PUNCT fbem-5586 167 16 the the PRON fbem-5586 167 17 faster fast ADV fbem-5586 167 18 the the DET fbem-5586 167 19 risk risk NOUN fbem-5586 167 20 spreads spread VERB fbem-5586 167 21 in in ADP fbem-5586 167 22 the the DET fbem-5586 167 23 supply supply NOUN fbem-5586 167 24 chain chain NOUN fbem-5586 167 25 network network NOUN fbem-5586 167 26 and and CCONJ fbem-5586 167 27 the the PRON fbem-5586 167 28 wider wide ADJ fbem-5586 167 29 the the DET fbem-5586 167 30 spread spread ADJ fbem-5586 167 31 range range NOUN fbem-5586 167 32 . . PUNCT fbem-5586 168 1 however however ADV fbem-5586 168 2 , , PUNCT fbem-5586 168 3 in in ADP fbem-5586 168 4 general general ADJ fbem-5586 168 5 , , PUNCT fbem-5586 168 6 𝛼 𝛼 PROPN fbem-5586 168 7 has have VERB fbem-5586 168 8 a a DET fbem-5586 168 9 weak weak ADJ fbem-5586 168 10 influence influence NOUN fbem-5586 168 11 on on ADP fbem-5586 168 12 the the DET fbem-5586 168 13 basic basic ADJ fbem-5586 168 14 regeneration regeneration NOUN fbem-5586 168 15 number number NOUN fbem-5586 168 16 𝑅 𝑅 PROPN fbem-5586 168 17 . . PUNCT fbem-5586 168 18 figure figure NOUN fbem-5586 168 19 3 3 NUM fbem-5586 168 20 . . PUNCT fbem-5586 168 21 simulation simulation NOUN fbem-5586 168 22 experiment experiment NOUN fbem-5586 168 23 of of ADP fbem-5586 168 24 𝛼 𝛼 NOUN fbem-5586 168 25 figure figure NOUN fbem-5586 168 26 4 4 NUM fbem-5586 168 27 . . PUNCT fbem-5586 168 28 simulation simulation NOUN fbem-5586 168 29 experiment experiment NOUN fbem-5586 168 30 of of ADP fbem-5586 168 31 𝛼 𝛼 NOUN fbem-5586 168 32 figure figure NOUN fbem-5586 168 33 5 5 NUM fbem-5586 168 34 . . PUNCT fbem-5586 168 35 simulation simulation NOUN fbem-5586 168 36 experiment experiment NOUN fbem-5586 168 37 of of ADP fbem-5586 168 38 𝛼 𝛼 NOUN fbem-5586 168 39 figure figure NOUN fbem-5586 168 40 6 6 NUM fbem-5586 168 41 . . PUNCT fbem-5586 169 1 simulation simulation NOUN fbem-5586 169 2 experiment experiment NOUN fbem-5586 169 3 of of ADP fbem-5586 169 4 𝛼 𝛼 PROPN fbem-5586 169 5 simulation simulation NOUN fbem-5586 169 6 experiment experiment NOUN fbem-5586 169 7 3 3 NUM fbem-5586 169 8 : : PUNCT fbem-5586 169 9 in in ADP fbem-5586 169 10 order order NOUN fbem-5586 169 11 to to PART fbem-5586 169 12 observe observe VERB fbem-5586 169 13 the the DET fbem-5586 169 14 influence influence NOUN fbem-5586 169 15 of of ADP fbem-5586 169 16 the the DET fbem-5586 169 17 change change NOUN fbem-5586 169 18 of of ADP fbem-5586 169 19 latent latent NOUN fbem-5586 169 20 conversion conversion NOUN fbem-5586 169 21 rate rate NOUN fbem-5586 169 22 on on ADP fbem-5586 169 23 risk risk NOUN fbem-5586 169 24 transmission transmission NOUN fbem-5586 169 25 and and CCONJ fbem-5586 169 26 r0 r0 NOUN fbem-5586 169 27 , , PUNCT fbem-5586 169 28 the the DET fbem-5586 169 29 latent latent NOUN fbem-5586 169 30 conversion conversion NOUN fbem-5586 169 31 rate rate NOUN fbem-5586 169 32 𝛽 𝛽 NOUN fbem-5586 169 33 is be AUX fbem-5586 169 34 adjusted adjust VERB fbem-5586 169 35 on on ADP fbem-5586 169 36 the the DET fbem-5586 169 37 basis basis NOUN fbem-5586 169 38 of of ADP fbem-5586 169 39 experiment experiment NOUN fbem-5586 169 40 1 1 NUM fbem-5586 169 41 , , PUNCT fbem-5586 169 42 where where SCONJ fbem-5586 169 43 𝛽 𝛽 NOUN fbem-5586 169 44 0.4 0.4 NUM fbem-5586 169 45 is be AUX fbem-5586 169 46 the the DET fbem-5586 169 47 initial initial ADJ fbem-5586 169 48 value value NOUN fbem-5586 169 49 . . PUNCT fbem-5586 170 1 table table NOUN fbem-5586 170 2 4 4 NUM fbem-5586 170 3 . . PUNCT fbem-5586 170 4 simulation simulation NOUN fbem-5586 170 5 experiment experiment NOUN fbem-5586 170 6 𝜷 𝜷 PROPN fbem-5586 170 7 0.2 0.2 NUM fbem-5586 170 8 0.4 0.4 NUM fbem-5586 170 9 0.54 0.54 NUM fbem-5586 170 10 0.8 0.8 NUM fbem-5586 170 11 π‘ΉπŸŽ π‘ΉπŸŽ NOUN fbem-5586 170 12 0.236 0.236 NUM fbem-5586 170 13 0.370 0.370 NUM fbem-5586 170 14 0.997 0.997 NUM fbem-5586 170 15 1.693 1.693 NUM fbem-5586 170 16 in in ADP fbem-5586 170 17 experiment experiment NOUN fbem-5586 170 18 3 3 NUM fbem-5586 170 19 , , PUNCT fbem-5586 170 20 the the DET fbem-5586 170 21 above above ADJ fbem-5586 170 22 adjustment adjustment NOUN fbem-5586 170 23 is be AUX fbem-5586 170 24 made make VERB fbem-5586 170 25 on on ADP fbem-5586 170 26 𝛽 𝛽 NOUN fbem-5586 170 27 and and CCONJ fbem-5586 170 28 the the DET fbem-5586 170 29 corresponding correspond VERB fbem-5586 170 30 r0 r0 NOUN fbem-5586 170 31 is be AUX fbem-5586 170 32 obtained obtain VERB fbem-5586 170 33 . . PUNCT fbem-5586 171 1 the the DET fbem-5586 171 2 results result NOUN fbem-5586 171 3 show show VERB fbem-5586 171 4 that that SCONJ fbem-5586 171 5 when when SCONJ fbem-5586 171 6 𝛽 𝛽 NOUN fbem-5586 171 7 0.54 0.54 NUM fbem-5586 171 8 , , PUNCT fbem-5586 171 9 𝑅 𝑅 PROPN fbem-5586 171 10 = = PROPN fbem-5586 171 11 0.967 0.967 NUM fbem-5586 171 12 , , PUNCT fbem-5586 171 13 the the DET fbem-5586 171 14 system system NOUN fbem-5586 171 15 is be AUX fbem-5586 171 16 at at ADP fbem-5586 171 17 the the DET fbem-5586 171 18 critical critical ADJ fbem-5586 171 19 value value NOUN fbem-5586 171 20 of of ADP fbem-5586 171 21 risk risk NOUN fbem-5586 171 22 transmission transmission NOUN fbem-5586 171 23 . . PUNCT fbem-5586 172 1 it it PRON fbem-5586 172 2 can can AUX fbem-5586 172 3 be be AUX fbem-5586 172 4 seen see VERB fbem-5586 172 5 that that SCONJ fbem-5586 172 6 with with ADP fbem-5586 172 7 𝛽 𝛽 NOUN fbem-5586 172 8 increasing increase VERB fbem-5586 172 9 from from ADP fbem-5586 172 10 0.2 0.2 NUM fbem-5586 172 11 251 251 NUM fbem-5586 172 12 to to ADP fbem-5586 172 13 0.8 0.8 NUM fbem-5586 172 14 , , PUNCT fbem-5586 172 15 𝑅 𝑅 PROPN fbem-5586 172 16 also also ADV fbem-5586 172 17 increases increase VERB fbem-5586 172 18 and and CCONJ fbem-5586 172 19 breaks break VERB fbem-5586 172 20 the the DET fbem-5586 172 21 threshold threshold NOUN fbem-5586 172 22 at at ADP fbem-5586 172 23 𝛽=0.55 𝛽=0.55 NOUN fbem-5586 172 24 . . PUNCT fbem-5586 173 1 the the DET fbem-5586 173 2 simulation simulation NOUN fbem-5586 173 3 results result NOUN fbem-5586 173 4 are be AUX fbem-5586 173 5 shown show VERB fbem-5586 173 6 in in ADP fbem-5586 173 7 the the DET fbem-5586 173 8 figure figure NOUN fbem-5586 173 9 below below ADV fbem-5586 173 10 . . PUNCT fbem-5586 174 1 figure figure VERB fbem-5586 174 2 7 7 NUM fbem-5586 174 3 and and CCONJ fbem-5586 174 4 figure figure VERB fbem-5586 174 5 8 8 NUM fbem-5586 174 6 show show VERB fbem-5586 174 7 that that SCONJ fbem-5586 174 8 as as SCONJ fbem-5586 174 9 the the DET fbem-5586 174 10 infection infection NOUN fbem-5586 174 11 rate rate NOUN fbem-5586 174 12 of of ADP fbem-5586 174 13 susceptible susceptible ADJ fbem-5586 174 14 firms firm NOUN fbem-5586 174 15 increased increase VERB fbem-5586 174 16 from from ADP fbem-5586 174 17 0.2 0.2 NUM fbem-5586 174 18 to to ADP fbem-5586 174 19 0.4 0.4 NUM fbem-5586 174 20 , , PUNCT fbem-5586 174 21 the the DET fbem-5586 174 22 number number NOUN fbem-5586 174 23 of of ADP fbem-5586 174 24 susceptible susceptible ADJ fbem-5586 174 25 firms firm NOUN fbem-5586 174 26 showed show VERB fbem-5586 174 27 a a DET fbem-5586 174 28 rapid rapid ADJ fbem-5586 174 29 decline decline NOUN fbem-5586 174 30 from from ADP fbem-5586 174 31 800 800 NUM fbem-5586 174 32 to to ADP fbem-5586 174 33 680 680 NUM fbem-5586 174 34 in in ADP fbem-5586 174 35 0 0 NUM fbem-5586 174 36 - - SYM fbem-5586 174 37 25 25 NUM fbem-5586 174 38 days day NOUN fbem-5586 174 39 . . PUNCT fbem-5586 175 1 figure figure NOUN fbem-5586 175 2 9 9 NUM fbem-5586 175 3 shows show VERB fbem-5586 175 4 that that SCONJ fbem-5586 175 5 when when SCONJ fbem-5586 175 6 𝛽=0.54 𝛽=0.54 PROPN fbem-5586 175 7 , , PUNCT fbem-5586 175 8 the the DET fbem-5586 175 9 system system NOUN fbem-5586 175 10 is be AUX fbem-5586 175 11 at at ADP fbem-5586 175 12 the the DET fbem-5586 175 13 critical critical ADJ fbem-5586 175 14 value value NOUN fbem-5586 175 15 of of ADP fbem-5586 175 16 risk risk NOUN fbem-5586 175 17 transmission transmission NOUN fbem-5586 175 18 , , PUNCT fbem-5586 175 19 which which PRON fbem-5586 175 20 shows show VERB fbem-5586 175 21 that that SCONJ fbem-5586 175 22 the the DET fbem-5586 175 23 number number NOUN fbem-5586 175 24 of of ADP fbem-5586 175 25 risk risk NOUN fbem-5586 175 26 - - PUNCT fbem-5586 175 27 infected infect VERB fbem-5586 175 28 enterprises enterprise NOUN fbem-5586 175 29 always always ADV fbem-5586 175 30 fluctuates fluctuate VERB fbem-5586 175 31 around around ADV fbem-5586 175 32 0 0 NUM fbem-5586 175 33 after after ADP fbem-5586 175 34 the the DET fbem-5586 175 35 50th 50th ADJ fbem-5586 175 36 day day NOUN fbem-5586 175 37 , , PUNCT fbem-5586 175 38 while while SCONJ fbem-5586 175 39 the the DET fbem-5586 175 40 number number NOUN fbem-5586 175 41 of of ADP fbem-5586 175 42 susceptible susceptible ADJ fbem-5586 175 43 enterprises enterprise NOUN fbem-5586 175 44 and and CCONJ fbem-5586 175 45 recovering recover VERB fbem-5586 175 46 enterprises enterprise NOUN fbem-5586 175 47 starts start VERB fbem-5586 175 48 to to PART fbem-5586 175 49 fluctuate fluctuate VERB fbem-5586 175 50 significantly significantly ADV fbem-5586 175 51 after after ADP fbem-5586 175 52 reaching reach VERB fbem-5586 175 53 the the DET fbem-5586 175 54 initial initial ADJ fbem-5586 175 55 extreme extreme ADJ fbem-5586 175 56 value value NOUN fbem-5586 175 57 , , PUNCT fbem-5586 175 58 indicating indicate VERB fbem-5586 175 59 that that SCONJ fbem-5586 175 60 the the DET fbem-5586 175 61 risk risk NOUN fbem-5586 175 62 will will AUX fbem-5586 175 63 not not PART fbem-5586 175 64 stop stop VERB fbem-5586 175 65 spreading spread VERB fbem-5586 175 66 and and CCONJ fbem-5586 175 67 has have VERB fbem-5586 175 68 a a DET fbem-5586 175 69 tendency tendency NOUN fbem-5586 175 70 to to PART fbem-5586 175 71 continue continue VERB fbem-5586 175 72 spreading spread VERB fbem-5586 175 73 . . PUNCT fbem-5586 176 1 figure figure NOUN fbem-5586 176 2 10 10 NUM fbem-5586 176 3 shows show VERB fbem-5586 176 4 that that SCONJ fbem-5586 176 5 when when SCONJ fbem-5586 176 6 𝛽=0.8 𝛽=0.8 PROPN fbem-5586 176 7 , , PUNCT fbem-5586 176 8 𝑅 𝑅 PROPN fbem-5586 176 9 > > PROPN fbem-5586 176 10 1 1 NUM fbem-5586 176 11 , , PUNCT fbem-5586 176 12 the the DET fbem-5586 176 13 system system NOUN fbem-5586 176 14 is be AUX fbem-5586 176 15 in in ADP fbem-5586 176 16 a a DET fbem-5586 176 17 state state NOUN fbem-5586 176 18 of of ADP fbem-5586 176 19 risk risk NOUN fbem-5586 176 20 diffusion diffusion NOUN fbem-5586 176 21 . . PUNCT fbem-5586 177 1 the the DET fbem-5586 177 2 quantitative quantitative ADJ fbem-5586 177 3 characteristics characteristic NOUN fbem-5586 177 4 of of ADP fbem-5586 177 5 susceptible susceptible ADJ fbem-5586 177 6 enterprises enterprise NOUN fbem-5586 177 7 and and CCONJ fbem-5586 177 8 recovering recover VERB fbem-5586 177 9 enterprises enterprise NOUN fbem-5586 177 10 have have VERB fbem-5586 177 11 more more ADJ fbem-5586 177 12 obvious obvious ADJ fbem-5586 177 13 fluctuations fluctuation NOUN fbem-5586 177 14 as as SCONJ fbem-5586 177 15 shown show VERB fbem-5586 177 16 in in ADP fbem-5586 177 17 figure figure NOUN fbem-5586 177 18 9 9 NUM fbem-5586 177 19 , , PUNCT fbem-5586 177 20 and and CCONJ fbem-5586 177 21 the the DET fbem-5586 177 22 number number NOUN fbem-5586 177 23 of of ADP fbem-5586 177 24 latent latent NOUN fbem-5586 177 25 enterprises enterprise NOUN fbem-5586 177 26 and and CCONJ fbem-5586 177 27 the the DET fbem-5586 177 28 number number NOUN fbem-5586 177 29 of of ADP fbem-5586 177 30 infected infect VERB fbem-5586 177 31 enterprises enterprise NOUN fbem-5586 177 32 gradually gradually ADV fbem-5586 177 33 reach reach VERB fbem-5586 177 34 a a DET fbem-5586 177 35 dynamic dynamic ADJ fbem-5586 177 36 balance balance NOUN fbem-5586 177 37 , , PUNCT fbem-5586 177 38 and and CCONJ fbem-5586 177 39 there there PRON fbem-5586 177 40 is be VERB fbem-5586 177 41 a a DET fbem-5586 177 42 n n CCONJ fbem-5586 177 43 - - PUNCT fbem-5586 177 44 zep zep PROPN fbem-5586 177 45 in in ADP fbem-5586 177 46 the the DET fbem-5586 177 47 system system NOUN fbem-5586 177 48 at at ADP fbem-5586 177 49 this this DET fbem-5586 177 50 time time NOUN fbem-5586 177 51 . . PUNCT fbem-5586 178 1 the the DET fbem-5586 178 2 above above ADJ fbem-5586 178 3 results result NOUN fbem-5586 178 4 show show VERB fbem-5586 178 5 that that SCONJ fbem-5586 178 6 the the DET fbem-5586 178 7 change change NOUN fbem-5586 178 8 of of ADP fbem-5586 178 9 latent latent NOUN fbem-5586 178 10 conversion conversion NOUN fbem-5586 178 11 rate rate NOUN fbem-5586 178 12 𝛽 𝛽 NOUN fbem-5586 178 13 has have VERB fbem-5586 178 14 more more ADJ fbem-5586 178 15 effect effect NOUN fbem-5586 178 16 on on ADP fbem-5586 178 17 the the DET fbem-5586 178 18 basic basic ADJ fbem-5586 178 19 regeneration regeneration NOUN fbem-5586 178 20 number number NOUN fbem-5586 178 21 𝑅 𝑅 PROPN fbem-5586 178 22 than than ADP fbem-5586 178 23 the the DET fbem-5586 178 24 change change NOUN fbem-5586 178 25 of of ADP fbem-5586 178 26 latent latent NOUN fbem-5586 178 27 enterprise enterprise NOUN fbem-5586 178 28 infection infection NOUN fbem-5586 178 29 rate rate NOUN fbem-5586 178 30 Ξ± Ξ± NOUN fbem-5586 178 31 . . PUNCT fbem-5586 179 1 when when SCONJ fbem-5586 179 2 𝑅 𝑅 PROPN fbem-5586 179 3 > > PROPN fbem-5586 179 4 1 1 NUM fbem-5586 179 5 , , PUNCT fbem-5586 179 6 n n CCONJ fbem-5586 179 7 - - PUNCT fbem-5586 179 8 zep zep PROPN fbem-5586 179 9 exists exist VERB fbem-5586 179 10 in in ADP fbem-5586 179 11 the the DET fbem-5586 179 12 system system NOUN fbem-5586 179 13 , , PUNCT fbem-5586 179 14 and and CCONJ fbem-5586 179 15 the the DET fbem-5586 179 16 risk risk NOUN fbem-5586 179 17 propagation propagation NOUN fbem-5586 179 18 phenomenon phenomenon NOUN fbem-5586 179 19 will will AUX fbem-5586 179 20 reach reach VERB fbem-5586 179 21 a a DET fbem-5586 179 22 dynamic dynamic ADJ fbem-5586 179 23 equilibrium equilibrium NOUN fbem-5586 179 24 at at ADP fbem-5586 179 25 zep zep PROPN fbem-5586 179 26 , , PUNCT fbem-5586 179 27 which which PRON fbem-5586 179 28 is be AUX fbem-5586 179 29 consistent consistent ADJ fbem-5586 179 30 with with ADP fbem-5586 179 31 the the DET fbem-5586 179 32 conclusion conclusion NOUN fbem-5586 179 33 of of ADP fbem-5586 179 34 property property NOUN fbem-5586 179 35 2 2 NUM fbem-5586 179 36 . . PUNCT fbem-5586 179 37 figure figure VERB fbem-5586 179 38 7 7 NUM fbem-5586 179 39 . . PUNCT fbem-5586 179 40 simulation simulation NOUN fbem-5586 179 41 experiment experiment NOUN fbem-5586 179 42 of of ADP fbem-5586 179 43 𝛽 𝛽 NOUN fbem-5586 179 44 figure figure NOUN fbem-5586 179 45 8 8 NUM fbem-5586 179 46 . . PUNCT fbem-5586 180 1 simulation simulation NOUN fbem-5586 180 2 experiment experiment NOUN fbem-5586 180 3 of of ADP fbem-5586 180 4 𝛽 𝛽 NOUN fbem-5586 180 5 figure figure NOUN fbem-5586 180 6 9 9 NUM fbem-5586 180 7 . . PUNCT fbem-5586 180 8 simulation simulation NOUN fbem-5586 180 9 experiment experiment NOUN fbem-5586 180 10 of of ADP fbem-5586 180 11 𝛽 𝛽 NOUN fbem-5586 180 12 figure figure NOUN fbem-5586 180 13 10 10 NUM fbem-5586 180 14 . . PUNCT fbem-5586 181 1 simulation simulation NOUN fbem-5586 181 2 experiment experiment NOUN fbem-5586 181 3 of of ADP fbem-5586 181 4 𝛽 𝛽 PROPN fbem-5586 181 5 simulation simulation NOUN fbem-5586 181 6 experiment experiment NOUN fbem-5586 181 7 4 4 NUM fbem-5586 181 8 : : PUNCT fbem-5586 181 9 in in ADP fbem-5586 181 10 order order NOUN fbem-5586 181 11 to to PART fbem-5586 181 12 observe observe VERB fbem-5586 181 13 the the DET fbem-5586 181 14 impact impact NOUN fbem-5586 181 15 of of ADP fbem-5586 181 16 recovery recovery NOUN fbem-5586 181 17 rate rate NOUN fbem-5586 181 18 change change NOUN fbem-5586 181 19 on on ADP fbem-5586 181 20 risk risk NOUN fbem-5586 181 21 propagation propagation NOUN fbem-5586 181 22 and and CCONJ fbem-5586 181 23 𝑅 𝑅 PROPN fbem-5586 181 24 recovery recovery NOUN fbem-5586 181 25 rate rate NOUN fbem-5586 181 26 \gamma \gamma PROPN fbem-5586 181 27 was be AUX fbem-5586 181 28 adjusted adjust VERB fbem-5586 181 29 on on ADP fbem-5586 181 30 the the DET fbem-5586 181 31 basis basis NOUN fbem-5586 181 32 of of ADP fbem-5586 181 33 experiment experiment NOUN fbem-5586 181 34 1 1 NUM fbem-5586 181 35 , , PUNCT fbem-5586 181 36 where where SCONJ fbem-5586 181 37 𝛾 𝛾 NOUN fbem-5586 181 38 0.38 0.38 NUM fbem-5586 181 39 was be AUX fbem-5586 181 40 the the DET fbem-5586 181 41 initial initial ADJ fbem-5586 181 42 value value NOUN fbem-5586 181 43 . . PUNCT fbem-5586 182 1 table table NOUN fbem-5586 182 2 5 5 NUM fbem-5586 182 3 . . PUNCT fbem-5586 182 4 simulation simulation NOUN fbem-5586 182 5 experiment experiment NOUN fbem-5586 182 6 𝜸 𝜸 PROPN fbem-5586 182 7 0.19 0.19 NUM fbem-5586 182 8 0.3 0.3 NUM fbem-5586 182 9 0.38 0.38 NUM fbem-5586 182 10 0.76 0.76 NUM fbem-5586 182 11 π‘ΉπŸŽ π‘ΉπŸŽ NOUN fbem-5586 182 12 1.526 1.526 NUM fbem-5586 182 13 0.987 0.987 NUM fbem-5586 182 14 0.370 0.370 NUM fbem-5586 182 15 0.203 0.203 NUM fbem-5586 182 16 in in ADP fbem-5586 182 17 experiment experiment NOUN fbem-5586 182 18 4 4 NUM fbem-5586 182 19 , , PUNCT fbem-5586 182 20 we we PRON fbem-5586 182 21 adjusted adjust VERB fbem-5586 182 22 𝛾 𝛾 PROPN fbem-5586 182 23 as as ADV fbem-5586 182 24 above above ADV fbem-5586 182 25 and and CCONJ fbem-5586 182 26 obtained obtain VERB fbem-5586 182 27 the the DET fbem-5586 182 28 corresponding corresponding PROPN fbem-5586 182 29 𝑅 𝑅 PROPN fbem-5586 182 30 . . PUNCT fbem-5586 183 1 the the DET fbem-5586 183 2 results result NOUN fbem-5586 183 3 show show VERB fbem-5586 183 4 that that SCONJ fbem-5586 183 5 𝑅 𝑅 PROPN fbem-5586 183 6 = = NOUN fbem-5586 183 7 0.987 0.987 NUM fbem-5586 183 8 when when SCONJ fbem-5586 183 9 𝛾=0.3 𝛾=0.3 PROPN fbem-5586 183 10 , , PUNCT fbem-5586 183 11 the the DET fbem-5586 183 12 system system NOUN fbem-5586 183 13 is be AUX fbem-5586 183 14 at at ADP fbem-5586 183 15 the the DET fbem-5586 183 16 critical critical ADJ fbem-5586 183 17 value value NOUN fbem-5586 183 18 of of ADP fbem-5586 183 19 risk risk NOUN fbem-5586 183 20 propagation propagation NOUN fbem-5586 183 21 . . PUNCT fbem-5586 184 1 as as SCONJ fbem-5586 184 2 can can AUX fbem-5586 184 3 be be AUX fbem-5586 184 4 seen see VERB fbem-5586 184 5 , , PUNCT fbem-5586 184 6 when when SCONJ fbem-5586 184 7 𝛾 𝛾 PART fbem-5586 184 8 increased increase VERB fbem-5586 184 9 from from ADP fbem-5586 184 10 0.19 0.19 NUM fbem-5586 184 11 to to ADP fbem-5586 184 12 0.76 0.76 NUM fbem-5586 184 13 , , PUNCT fbem-5586 184 14 𝑅 𝑅 PROPN fbem-5586 184 15 also also ADV fbem-5586 184 16 decreased decrease VERB fbem-5586 184 17 and and CCONJ fbem-5586 184 18 broke break VERB fbem-5586 184 19 the the DET fbem-5586 184 20 threshold threshold NOUN fbem-5586 184 21 at at ADP fbem-5586 184 22 𝛾 𝛾 X fbem-5586 184 23 = = SYM fbem-5586 184 24 0.3 0.3 NUM fbem-5586 184 25 . . PUNCT fbem-5586 185 1 the the DET fbem-5586 185 2 simulation simulation NOUN fbem-5586 185 3 results result NOUN fbem-5586 185 4 are be AUX fbem-5586 185 5 shown show VERB fbem-5586 185 6 in in ADP fbem-5586 185 7 the the DET fbem-5586 185 8 figure figure NOUN fbem-5586 185 9 below below ADV fbem-5586 185 10 . . PUNCT fbem-5586 186 1 figure figure VERB fbem-5586 186 2 11 11 NUM fbem-5586 186 3 shows show VERB fbem-5586 186 4 that that SCONJ fbem-5586 186 5 when when SCONJ fbem-5586 186 6 𝛾=0.19 𝛾=0.19 NOUN fbem-5586 186 7 , , PUNCT fbem-5586 186 8 𝑅 𝑅 PROPN fbem-5586 186 9 > > PROPN fbem-5586 186 10 1 1 NUM fbem-5586 186 11 , , PUNCT fbem-5586 186 12 the the DET fbem-5586 186 13 system system NOUN fbem-5586 186 14 is be AUX fbem-5586 186 15 in in ADP fbem-5586 186 16 a a DET fbem-5586 186 17 state state NOUN fbem-5586 186 18 of of ADP fbem-5586 186 19 risk risk NOUN fbem-5586 186 20 diffusion diffusion NOUN fbem-5586 186 21 , , PUNCT fbem-5586 186 22 the the DET fbem-5586 186 23 number number NOUN fbem-5586 186 24 characteristics characteristic NOUN fbem-5586 186 25 of of ADP fbem-5586 186 26 susceptible susceptible ADJ fbem-5586 186 27 enterprises enterprise NOUN fbem-5586 186 28 and and CCONJ fbem-5586 186 29 recovered recover VERB fbem-5586 186 30 enterprises enterprise NOUN fbem-5586 186 31 fluctuate fluctuate NOUN fbem-5586 186 32 significantly significantly ADV fbem-5586 186 33 in in ADP fbem-5586 186 34 figure figure NOUN fbem-5586 186 35 11 11 NUM fbem-5586 186 36 , , PUNCT fbem-5586 186 37 and and CCONJ fbem-5586 186 38 the the DET fbem-5586 186 39 number number NOUN fbem-5586 186 40 of of ADP fbem-5586 186 41 latent latent NOUN fbem-5586 186 42 enterprises enterprise NOUN fbem-5586 186 43 and and CCONJ fbem-5586 186 44 infected infected ADJ fbem-5586 186 45 enterprises enterprise NOUN fbem-5586 186 46 gradually gradually ADV fbem-5586 186 47 reach reach VERB fbem-5586 186 48 a a DET fbem-5586 186 49 dynamic dynamic ADJ fbem-5586 186 50 balance balance NOUN fbem-5586 186 51 , , PUNCT fbem-5586 186 52 and and CCONJ fbem-5586 186 53 there there PRON fbem-5586 186 54 is be VERB fbem-5586 186 55 a a DET fbem-5586 186 56 non non ADJ fbem-5586 186 57 - - ADJ fbem-5586 186 58 zero zero NUM fbem-5586 186 59 equilibrium equilibrium NOUN fbem-5586 186 60 point point NOUN fbem-5586 186 61 in in ADP fbem-5586 186 62 the the DET fbem-5586 186 63 system system NOUN fbem-5586 186 64 at at ADP fbem-5586 186 65 this this DET fbem-5586 186 66 time time NOUN fbem-5586 186 67 . . PUNCT fbem-5586 187 1 figure figure VERB fbem-5586 187 2 12 12 NUM fbem-5586 187 3 shows show VERB fbem-5586 187 4 that that SCONJ fbem-5586 187 5 when when SCONJ fbem-5586 187 6 𝛾 𝛾 PROPN fbem-5586 187 7 increases increase NOUN fbem-5586 187 8 to to ADP fbem-5586 187 9 0.3 0.3 NUM fbem-5586 187 10 , , PUNCT fbem-5586 187 11 the the DET fbem-5586 187 12 system system NOUN fbem-5586 187 13 is be AUX fbem-5586 187 14 at at ADP fbem-5586 187 15 the the DET fbem-5586 187 16 critical critical ADJ fbem-5586 187 17 value value NOUN fbem-5586 187 18 of of ADP fbem-5586 187 19 risk risk NOUN fbem-5586 187 20 transmission transmission NOUN fbem-5586 187 21 , , PUNCT fbem-5586 187 22 which which PRON fbem-5586 187 23 shows show VERB fbem-5586 187 24 that that SCONJ fbem-5586 187 25 the the DET fbem-5586 187 26 number number NOUN fbem-5586 187 27 of of ADP fbem-5586 187 28 risk risk NOUN fbem-5586 187 29 infected infect VERB fbem-5586 187 30 enterprises enterprise NOUN fbem-5586 187 31 and and CCONJ fbem-5586 187 32 latent latent NOUN fbem-5586 187 33 enterprises enterprise NOUN fbem-5586 187 34 fluctuates fluctuate VERB fbem-5586 187 35 around around ADV fbem-5586 187 36 0 0 NUM fbem-5586 187 37 from from ADP fbem-5586 187 38 the the DET fbem-5586 187 39 50th 50th ADJ fbem-5586 187 40 day day NOUN fbem-5586 187 41 . . PUNCT fbem-5586 188 1 at at ADP fbem-5586 188 2 this this DET fbem-5586 188 3 time time NOUN fbem-5586 188 4 , , PUNCT fbem-5586 188 5 the the DET fbem-5586 188 6 number number NOUN fbem-5586 188 7 of of ADP fbem-5586 188 8 susceptible susceptible ADJ fbem-5586 188 9 enterprises enterprise NOUN fbem-5586 188 10 and and CCONJ fbem-5586 188 11 recovered recover VERB fbem-5586 188 12 enterprises enterprise NOUN fbem-5586 188 13 still still ADV fbem-5586 188 14 fluctuates fluctuate VERB fbem-5586 188 15 greatly greatly ADV fbem-5586 188 16 after after ADP fbem-5586 188 17 reaching reach VERB fbem-5586 188 18 the the DET fbem-5586 188 19 initial initial ADJ fbem-5586 188 20 extreme extreme ADJ fbem-5586 188 21 value value NOUN fbem-5586 188 22 , , PUNCT fbem-5586 188 23 indicating indicate VERB fbem-5586 188 24 that that SCONJ fbem-5586 188 25 the the DET fbem-5586 188 26 degree degree NOUN fbem-5586 188 27 of of ADP fbem-5586 188 28 risk risk NOUN fbem-5586 188 29 transmission transmission NOUN fbem-5586 188 30 in in ADP fbem-5586 188 31 the the DET fbem-5586 188 32 system system NOUN fbem-5586 188 33 is be AUX fbem-5586 188 34 weakening weaken VERB fbem-5586 188 35 and and CCONJ fbem-5586 188 36 tends tend VERB fbem-5586 188 37 to to PART fbem-5586 188 38 be be AUX fbem-5586 188 39 stable stable ADJ fbem-5586 188 40 . . PUNCT fbem-5586 189 1 figure figure NOUN fbem-5586 189 2 13 13 NUM fbem-5586 189 3 and and CCONJ fbem-5586 189 4 figure figure VERB fbem-5586 189 5 14 14 NUM fbem-5586 189 6 252 252 NUM fbem-5586 189 7 show show NOUN fbem-5586 189 8 that that SCONJ fbem-5586 189 9 the the DET fbem-5586 189 10 enterprise enterprise NOUN fbem-5586 189 11 recovery recovery NOUN fbem-5586 189 12 rate rate NOUN fbem-5586 189 13 𝛾 𝛾 AUX fbem-5586 189 14 increased increase VERB fbem-5586 189 15 from from ADP fbem-5586 189 16 0.38 0.38 NUM fbem-5586 189 17 to to ADP fbem-5586 189 18 0.76 0.76 NUM fbem-5586 189 19 , , PUNCT fbem-5586 189 20 which which PRON fbem-5586 189 21 allowed allow VERB fbem-5586 189 22 the the DET fbem-5586 189 23 risk risk NOUN fbem-5586 189 24 to to PART fbem-5586 189 25 be be AUX fbem-5586 189 26 cleared clear VERB fbem-5586 189 27 more more ADV fbem-5586 189 28 quickly quickly ADV fbem-5586 189 29 and and CCONJ fbem-5586 189 30 the the DET fbem-5586 189 31 time time NOUN fbem-5586 189 32 for for SCONJ fbem-5586 189 33 the the DET fbem-5586 189 34 number number NOUN fbem-5586 189 35 of of ADP fbem-5586 189 36 infected infect VERB fbem-5586 189 37 enterprises enterprise NOUN fbem-5586 189 38 to to PART fbem-5586 189 39 fall fall VERB fbem-5586 189 40 to to ADP fbem-5586 189 41 0 0 NUM fbem-5586 189 42 was be AUX fbem-5586 189 43 shortened shorten VERB fbem-5586 189 44 from from ADP fbem-5586 189 45 50 50 NUM fbem-5586 189 46 days day NOUN fbem-5586 189 47 to to ADP fbem-5586 189 48 10 10 NUM fbem-5586 189 49 days day NOUN fbem-5586 189 50 . . PUNCT fbem-5586 190 1 the the DET fbem-5586 190 2 latency latency NOUN fbem-5586 190 3 period period NOUN fbem-5586 190 4 for for ADP fbem-5586 190 5 the the DET fbem-5586 190 6 number number NOUN fbem-5586 190 7 of of ADP fbem-5586 190 8 enterprises enterprise NOUN fbem-5586 190 9 to to PART fbem-5586 190 10 fall fall VERB fbem-5586 190 11 to to ADP fbem-5586 190 12 zero zero NUM fbem-5586 190 13 was be AUX fbem-5586 190 14 reduced reduce VERB fbem-5586 190 15 from from ADP fbem-5586 190 16 50 50 NUM fbem-5586 190 17 days day NOUN fbem-5586 190 18 to to ADP fbem-5586 190 19 18 18 NUM fbem-5586 190 20 days day NOUN fbem-5586 190 21 . . PUNCT fbem-5586 191 1 the the DET fbem-5586 191 2 above above ADJ fbem-5586 191 3 results result NOUN fbem-5586 191 4 show show VERB fbem-5586 191 5 that that SCONJ fbem-5586 191 6 the the DET fbem-5586 191 7 increase increase NOUN fbem-5586 191 8 of of ADP fbem-5586 191 9 enterprise enterprise NOUN fbem-5586 191 10 recovery recovery NOUN fbem-5586 191 11 rate rate NOUN fbem-5586 191 12 𝛾 𝛾 NOUN fbem-5586 191 13 can can AUX fbem-5586 191 14 effectively effectively ADV fbem-5586 191 15 control control VERB fbem-5586 191 16 the the DET fbem-5586 191 17 speed speed NOUN fbem-5586 191 18 and and CCONJ fbem-5586 191 19 scope scope NOUN fbem-5586 191 20 of of ADP fbem-5586 191 21 risk risk NOUN fbem-5586 191 22 propagation propagation NOUN fbem-5586 191 23 in in ADP fbem-5586 191 24 the the DET fbem-5586 191 25 system system NOUN fbem-5586 191 26 . . PUNCT fbem-5586 192 1 figure figure NOUN fbem-5586 192 2 11 11 NUM fbem-5586 192 3 . . PUNCT fbem-5586 193 1 simulation simulation NOUN fbem-5586 193 2 experiment experiment NOUN fbem-5586 193 3 of of ADP fbem-5586 193 4 𝛾 𝛾 PROPN fbem-5586 193 5 figure figure NOUN fbem-5586 193 6 12 12 NUM fbem-5586 193 7 . . PUNCT fbem-5586 194 1 simulation simulation NOUN fbem-5586 194 2 experiment experiment NOUN fbem-5586 194 3 of of ADP fbem-5586 194 4 𝛾 𝛾 PART fbem-5586 194 5 figure figure NOUN fbem-5586 194 6 13 13 NUM fbem-5586 194 7 . . PUNCT fbem-5586 195 1 simulation simulation NOUN fbem-5586 195 2 experiment experiment NOUN fbem-5586 195 3 of of ADP fbem-5586 195 4 𝛾 𝛾 PROPN fbem-5586 195 5 figure figure NOUN fbem-5586 195 6 14 14 NUM fbem-5586 195 7 . . PUNCT fbem-5586 196 1 simulation simulation NOUN fbem-5586 196 2 experiment experiment NOUN fbem-5586 196 3 of of ADP fbem-5586 196 4 𝛾 𝛾 PROPN fbem-5586 196 5 simulation simulation NOUN fbem-5586 196 6 experiment experiment NOUN fbem-5586 196 7 5 5 NUM fbem-5586 196 8 : : PUNCT fbem-5586 196 9 in in ADP fbem-5586 196 10 order order NOUN fbem-5586 196 11 to to PART fbem-5586 196 12 observe observe VERB fbem-5586 196 13 the the DET fbem-5586 196 14 influence influence NOUN fbem-5586 196 15 of of ADP fbem-5586 196 16 the the DET fbem-5586 196 17 change change NOUN fbem-5586 196 18 of of ADP fbem-5586 196 19 entry entry NOUN fbem-5586 196 20 ( ( PUNCT fbem-5586 196 21 exit exit NOUN fbem-5586 196 22 ) ) PUNCT fbem-5586 196 23 rate rate NOUN fbem-5586 196 24 on on ADP fbem-5586 196 25 risk risk NOUN fbem-5586 196 26 propagation propagation NOUN fbem-5586 196 27 and and CCONJ fbem-5586 196 28 𝑅 𝑅 PROPN fbem-5586 196 29 , , PUNCT fbem-5586 196 30 the the DET fbem-5586 196 31 entry entry NOUN fbem-5586 196 32 rate rate NOUN fbem-5586 196 33 πœ‡ πœ‡ ADP fbem-5586 196 34 is be AUX fbem-5586 196 35 adjusted adjust VERB fbem-5586 196 36 on on ADP fbem-5586 196 37 the the DET fbem-5586 196 38 basis basis NOUN fbem-5586 196 39 of of ADP fbem-5586 196 40 experiment experiment NOUN fbem-5586 196 41 1 1 NUM fbem-5586 196 42 , , PUNCT fbem-5586 196 43 where where SCONJ fbem-5586 196 44 πœ‡=0.03 πœ‡=0.03 PROPN fbem-5586 196 45 is be AUX fbem-5586 196 46 the the DET fbem-5586 196 47 initial initial ADJ fbem-5586 196 48 value value NOUN fbem-5586 196 49 . . PUNCT fbem-5586 197 1 in in ADP fbem-5586 197 2 experiment experiment NOUN fbem-5586 197 3 5 5 NUM fbem-5586 197 4 , , PUNCT fbem-5586 197 5 πœ‡ πœ‡ X fbem-5586 197 6 is be AUX fbem-5586 197 7 adjusted adjust VERB fbem-5586 197 8 above above ADP fbem-5586 197 9 respectively respectively ADV fbem-5586 197 10 , , PUNCT fbem-5586 197 11 and and CCONJ fbem-5586 197 12 corresponding correspond VERB fbem-5586 197 13 𝑅 𝑅 PROPN fbem-5586 197 14 is be AUX fbem-5586 197 15 obtained obtain VERB fbem-5586 197 16 , , PUNCT fbem-5586 197 17 and and CCONJ fbem-5586 197 18 𝑅 𝑅 PROPN fbem-5586 197 19 is be AUX fbem-5586 197 20 less less ADJ fbem-5586 197 21 than than ADP fbem-5586 197 22 1 1 NUM fbem-5586 197 23 . . PUNCT fbem-5586 198 1 figure figure VERB fbem-5586 198 2 15 15 NUM fbem-5586 198 3 - - PUNCT fbem-5586 198 4 figure figure NOUN fbem-5586 198 5 18 18 NUM fbem-5586 198 6 shows show VERB fbem-5586 198 7 the the DET fbem-5586 198 8 simulation simulation NOUN fbem-5586 198 9 results result VERB fbem-5586 198 10 . . PUNCT fbem-5586 199 1 it it PRON fbem-5586 199 2 can can AUX fbem-5586 199 3 be be AUX fbem-5586 199 4 seen see VERB fbem-5586 199 5 that that SCONJ fbem-5586 199 6 𝑅 𝑅 NOUN fbem-5586 199 7 increases increase NOUN fbem-5586 199 8 as as ADP fbem-5586 199 9 πœ‡ πœ‡ ADP fbem-5586 199 10 increases increase NOUN fbem-5586 199 11 from from ADP fbem-5586 199 12 0.01 0.01 NUM fbem-5586 199 13 to to ADP fbem-5586 199 14 0.05 0.05 NUM fbem-5586 199 15 . . PUNCT fbem-5586 200 1 the the DET fbem-5586 200 2 minimum minimum ADJ fbem-5586 200 3 number number NOUN fbem-5586 200 4 of of ADP fbem-5586 200 5 risk risk NOUN fbem-5586 200 6 - - PUNCT fbem-5586 200 7 susceptible susceptible ADJ fbem-5586 200 8 firms firm NOUN fbem-5586 200 9 increased increase VERB fbem-5586 200 10 from from ADP fbem-5586 200 11 630 630 NUM fbem-5586 200 12 to to ADP fbem-5586 200 13 780 780 NUM fbem-5586 200 14 ; ; PUNCT fbem-5586 200 15 the the DET fbem-5586 200 16 number number NOUN fbem-5586 200 17 of of ADP fbem-5586 200 18 latent latent NOUN fbem-5586 200 19 enterprises enterprise NOUN fbem-5586 200 20 and and CCONJ fbem-5586 200 21 the the DET fbem-5586 200 22 number number NOUN fbem-5586 200 23 of of ADP fbem-5586 200 24 infected infected ADJ fbem-5586 200 25 enterprises enterprise NOUN fbem-5586 200 26 were be AUX fbem-5586 200 27 not not PART fbem-5586 200 28 obvious obvious ADJ fbem-5586 200 29 . . PUNCT fbem-5586 201 1 the the DET fbem-5586 201 2 time time NOUN fbem-5586 201 3 for for ADP fbem-5586 201 4 the the DET fbem-5586 201 5 number number NOUN fbem-5586 201 6 of of ADP fbem-5586 201 7 recovered recover VERB fbem-5586 201 8 enterprises enterprise NOUN fbem-5586 201 9 to to PART fbem-5586 201 10 peak peak VERB fbem-5586 201 11 increased increase VERB fbem-5586 201 12 from from ADP fbem-5586 201 13 40 40 NUM fbem-5586 201 14 days day NOUN fbem-5586 201 15 to to ADP fbem-5586 201 16 15 15 NUM fbem-5586 201 17 days day NOUN fbem-5586 201 18 , , PUNCT fbem-5586 201 19 and and CCONJ fbem-5586 201 20 the the DET fbem-5586 201 21 peak peak NOUN fbem-5586 201 22 decreased decrease VERB fbem-5586 201 23 from from ADP fbem-5586 201 24 340 340 NUM fbem-5586 201 25 days day NOUN fbem-5586 201 26 to to ADP fbem-5586 201 27 160 160 NUM fbem-5586 201 28 days day NOUN fbem-5586 201 29 . . PUNCT fbem-5586 202 1 the the DET fbem-5586 202 2 above above ADJ fbem-5586 202 3 results result NOUN fbem-5586 202 4 show show VERB fbem-5586 202 5 that that SCONJ fbem-5586 202 6 the the DET fbem-5586 202 7 entry entry NOUN fbem-5586 202 8 and and CCONJ fbem-5586 202 9 exit exit NOUN fbem-5586 202 10 rate rate NOUN fbem-5586 202 11 πœ‡ πœ‡ ADP fbem-5586 202 12 has have VERB fbem-5586 202 13 a a DET fbem-5586 202 14 great great ADJ fbem-5586 202 15 influence influence NOUN fbem-5586 202 16 on on ADP fbem-5586 202 17 susceptible susceptible ADJ fbem-5586 202 18 enterprises enterprise NOUN fbem-5586 202 19 and and CCONJ fbem-5586 202 20 recovering recover VERB fbem-5586 202 21 enterprises enterprise NOUN fbem-5586 202 22 . . PUNCT fbem-5586 203 1 with with ADP fbem-5586 203 2 the the DET fbem-5586 203 3 increase increase NOUN fbem-5586 203 4 of of ADP fbem-5586 203 5 the the DET fbem-5586 203 6 number number NOUN fbem-5586 203 7 of of ADP fbem-5586 203 8 new new ADJ fbem-5586 203 9 enterprises enterprise NOUN fbem-5586 203 10 and and CCONJ fbem-5586 203 11 the the DET fbem-5586 203 12 decrease decrease NOUN fbem-5586 203 13 of of ADP fbem-5586 203 14 the the DET fbem-5586 203 15 number number NOUN fbem-5586 203 16 of of ADP fbem-5586 203 17 original original ADJ fbem-5586 203 18 enterprises enterprise NOUN fbem-5586 203 19 , , PUNCT fbem-5586 203 20 the the DET fbem-5586 203 21 number number NOUN fbem-5586 203 22 of of ADP fbem-5586 203 23 enterprises enterprise NOUN fbem-5586 203 24 in in ADP fbem-5586 203 25 the the DET fbem-5586 203 26 supply supply NOUN fbem-5586 203 27 chain chain NOUN fbem-5586 203 28 network network NOUN fbem-5586 203 29 maintains maintain VERB fbem-5586 203 30 a a DET fbem-5586 203 31 dynamic dynamic ADJ fbem-5586 203 32 balance balance NOUN fbem-5586 203 33 of of ADP fbem-5586 203 34 renewal renewal NOUN fbem-5586 203 35 , , PUNCT fbem-5586 203 36 and and CCONJ fbem-5586 203 37 the the DET fbem-5586 203 38 increase increase NOUN fbem-5586 203 39 of of ADP fbem-5586 203 40 πœ‡ πœ‡ PRON fbem-5586 203 41 can can AUX fbem-5586 203 42 inhibit inhibit VERB fbem-5586 203 43 the the DET fbem-5586 203 44 spread spread NOUN fbem-5586 203 45 of of ADP fbem-5586 203 46 risks risk NOUN fbem-5586 203 47 . . PUNCT fbem-5586 204 1 figure figure NOUN fbem-5586 204 2 15 15 NUM fbem-5586 204 3 . . PUNCT fbem-5586 205 1 simulation simulation NOUN fbem-5586 205 2 experiment experiment NOUN fbem-5586 205 3 of of ADP fbem-5586 205 4 πœ‡ πœ‡ DET fbem-5586 205 5 253 253 NUM fbem-5586 205 6 figure figure NOUN fbem-5586 205 7 16 16 NUM fbem-5586 205 8 . . PUNCT fbem-5586 206 1 simulation simulation NOUN fbem-5586 206 2 experiment experiment NOUN fbem-5586 206 3 of of ADP fbem-5586 206 4 πœ‡ πœ‡ DET fbem-5586 206 5 figure figure NOUN fbem-5586 206 6 17 17 NUM fbem-5586 206 7 . . PUNCT fbem-5586 207 1 simulation simulation NOUN fbem-5586 207 2 experiment experiment NOUN fbem-5586 207 3 of of ADP fbem-5586 207 4 πœ‡ πœ‡ DET fbem-5586 207 5 figure figure NOUN fbem-5586 207 6 18 18 NUM fbem-5586 207 7 . . PUNCT fbem-5586 208 1 simulation simulation NOUN fbem-5586 208 2 experiment experiment NOUN fbem-5586 208 3 of of ADP fbem-5586 208 4 πœ‡ πœ‡ ADP fbem-5586 208 5 4 4 NUM fbem-5586 208 6 . . PUNCT fbem-5586 208 7 conclusion conclusion VERB fbem-5586 208 8 the the DET fbem-5586 208 9 seir seir NOUN fbem-5586 208 10 - - PUNCT fbem-5586 208 11 based base VERB fbem-5586 208 12 risk risk NOUN fbem-5586 208 13 propagation propagation NOUN fbem-5586 208 14 model model NOUN fbem-5586 208 15 of of ADP fbem-5586 208 16 complex complex ADJ fbem-5586 208 17 supply supply NOUN fbem-5586 208 18 chain chain NOUN fbem-5586 208 19 network network NOUN fbem-5586 208 20 constructed construct VERB fbem-5586 208 21 in in ADP fbem-5586 208 22 this this DET fbem-5586 208 23 paper paper NOUN fbem-5586 208 24 is be AUX fbem-5586 208 25 shown show VERB fbem-5586 208 26 by by ADP fbem-5586 208 27 theoretical theoretical ADJ fbem-5586 208 28 research research NOUN fbem-5586 208 29 and and CCONJ fbem-5586 208 30 simulation simulation NOUN fbem-5586 208 31 analysis analysis NOUN fbem-5586 208 32 . . PUNCT fbem-5586 209 1 in in ADP fbem-5586 209 2 the the DET fbem-5586 209 3 supply supply NOUN fbem-5586 209 4 chain chain NOUN fbem-5586 209 5 network network NOUN fbem-5586 209 6 , , PUNCT fbem-5586 209 7 the the DET fbem-5586 209 8 basic basic ADJ fbem-5586 209 9 regeneration regeneration NOUN fbem-5586 209 10 number number NOUN fbem-5586 209 11 𝑅 𝑅 PROPN fbem-5586 209 12 is be AUX fbem-5586 209 13 the the DET fbem-5586 209 14 key key ADJ fbem-5586 209 15 factor factor NOUN fbem-5586 209 16 to to PART fbem-5586 209 17 determine determine VERB fbem-5586 209 18 the the DET fbem-5586 209 19 state state NOUN fbem-5586 209 20 of of ADP fbem-5586 209 21 risk risk NOUN fbem-5586 209 22 propagation propagation NOUN fbem-5586 209 23 , , PUNCT fbem-5586 209 24 and and CCONJ fbem-5586 209 25 𝑅 𝑅 PROPN fbem-5586 209 26 1 1 NUM fbem-5586 209 27 is be AUX fbem-5586 209 28 the the DET fbem-5586 209 29 threshold threshold NOUN fbem-5586 209 30 to to PART fbem-5586 209 31 judge judge VERB fbem-5586 209 32 whether whether SCONJ fbem-5586 209 33 the the DET fbem-5586 209 34 risk risk NOUN fbem-5586 209 35 will will AUX fbem-5586 209 36 die die VERB fbem-5586 209 37 out out ADP fbem-5586 209 38 : : PUNCT fbem-5586 209 39 when when SCONJ fbem-5586 209 40 𝑅 𝑅 PROPN fbem-5586 209 41 1 1 NUM fbem-5586 209 42 , , PUNCT fbem-5586 209 43 there there PRON fbem-5586 209 44 is be VERB fbem-5586 209 45 zero zero NUM fbem-5586 209 46 equilibrium equilibrium NOUN fbem-5586 209 47 point point NOUN fbem-5586 209 48 in in ADP fbem-5586 209 49 the the DET fbem-5586 209 50 system system NOUN fbem-5586 209 51 , , PUNCT fbem-5586 209 52 and and CCONJ fbem-5586 209 53 the the DET fbem-5586 209 54 risk risk NOUN fbem-5586 209 55 will will AUX fbem-5586 209 56 gradually gradually ADV fbem-5586 209 57 die die VERB fbem-5586 209 58 out out ADP fbem-5586 209 59 . . PUNCT fbem-5586 210 1 when when SCONJ fbem-5586 210 2 𝑅 𝑅 PROPN fbem-5586 210 3 1 1 NUM fbem-5586 210 4 , , PUNCT fbem-5586 210 5 the the DET fbem-5586 210 6 system system NOUN fbem-5586 210 7 finally finally ADV fbem-5586 210 8 enters enter VERB fbem-5586 210 9 the the DET fbem-5586 210 10 non non ADJ fbem-5586 210 11 - - ADJ fbem-5586 210 12 zero zero NUM fbem-5586 210 13 equilibrium equilibrium NOUN fbem-5586 210 14 point point NOUN fbem-5586 210 15 , , PUNCT fbem-5586 210 16 and and CCONJ fbem-5586 210 17 the the DET fbem-5586 210 18 risk risk NOUN fbem-5586 210 19 can can AUX fbem-5586 210 20 not not PART fbem-5586 210 21 be be AUX fbem-5586 210 22 eliminated eliminate VERB fbem-5586 210 23 . . PUNCT fbem-5586 211 1 through through ADP fbem-5586 211 2 simulation simulation NOUN fbem-5586 211 3 , , PUNCT fbem-5586 211 4 it it PRON fbem-5586 211 5 is be AUX fbem-5586 211 6 found find VERB fbem-5586 211 7 that that SCONJ fbem-5586 211 8 the the DET fbem-5586 211 9 value value NOUN fbem-5586 211 10 of of ADP fbem-5586 211 11 basic basic ADJ fbem-5586 211 12 regeneration regeneration NOUN fbem-5586 211 13 number number NOUN fbem-5586 211 14 𝑅 𝑅 PROPN fbem-5586 211 15 depends depend VERB fbem-5586 211 16 on on ADP fbem-5586 211 17 infection infection NOUN fbem-5586 211 18 rate rate NOUN fbem-5586 211 19 𝛼 𝛼 PROPN fbem-5586 211 20 , , PUNCT fbem-5586 211 21 latent latent ADJ fbem-5586 211 22 conversion conversion NOUN fbem-5586 211 23 rate rate NOUN fbem-5586 211 24 𝛽 𝛽 PROPN fbem-5586 211 25 , , PUNCT fbem-5586 211 26 recovery recovery NOUN fbem-5586 211 27 rate rate NOUN fbem-5586 211 28 𝛾 𝛾 PROPN fbem-5586 211 29 , , PUNCT fbem-5586 211 30 entry entry NOUN fbem-5586 211 31 and and CCONJ fbem-5586 211 32 exit exit NOUN fbem-5586 211 33 rate rate NOUN fbem-5586 211 34 πœ‡ πœ‡ ADP fbem-5586 211 35 , , PUNCT fbem-5586 211 36 among among ADP fbem-5586 211 37 which which PRON fbem-5586 211 38 latent latent NOUN fbem-5586 211 39 conversion conversion NOUN fbem-5586 211 40 rate rate NOUN fbem-5586 211 41 𝛽 𝛽 PROPN fbem-5586 211 42 and and CCONJ fbem-5586 211 43 recovery recovery NOUN fbem-5586 211 44 rate rate NOUN fbem-5586 211 45 𝛾 𝛾 AUX fbem-5586 211 46 have have VERB fbem-5586 211 47 the the DET fbem-5586 211 48 best good ADJ fbem-5586 211 49 effect effect NOUN fbem-5586 211 50 on on ADP fbem-5586 211 51 𝑅 𝑅 PROPN fbem-5586 211 52 . . PUNCT fbem-5586 212 1 to to PART fbem-5586 212 2 sum sum VERB fbem-5586 212 3 up up ADP fbem-5586 212 4 , , PUNCT fbem-5586 212 5 this this DET fbem-5586 212 6 paper paper NOUN fbem-5586 212 7 puts put VERB fbem-5586 212 8 forward forward ADV fbem-5586 212 9 the the DET fbem-5586 212 10 following follow VERB fbem-5586 212 11 suggestions suggestion NOUN fbem-5586 212 12 on on ADP fbem-5586 212 13 risk risk NOUN fbem-5586 212 14 transmission transmission NOUN fbem-5586 212 15 and and CCONJ fbem-5586 212 16 control control NOUN fbem-5586 212 17 in in ADP fbem-5586 212 18 supply supply NOUN fbem-5586 212 19 chain chain NOUN fbem-5586 212 20 network network NOUN fbem-5586 212 21 from from ADP fbem-5586 212 22 the the DET fbem-5586 212 23 macro macro ADJ fbem-5586 212 24 level level NOUN fbem-5586 212 25 of of ADP fbem-5586 212 26 supply supply NOUN fbem-5586 212 27 chain chain NOUN fbem-5586 212 28 and and CCONJ fbem-5586 212 29 the the DET fbem-5586 212 30 micro micro ADJ fbem-5586 212 31 level level NOUN fbem-5586 212 32 of of ADP fbem-5586 212 33 enterprises enterprise NOUN fbem-5586 212 34 : : PUNCT fbem-5586 212 35 from from ADP fbem-5586 212 36 the the DET fbem-5586 212 37 perspective perspective NOUN fbem-5586 212 38 of of ADP fbem-5586 212 39 the the DET fbem-5586 212 40 supply supply NOUN fbem-5586 212 41 chain chain NOUN fbem-5586 212 42 as as ADP fbem-5586 212 43 a a DET fbem-5586 212 44 whole whole NOUN fbem-5586 212 45 , , PUNCT fbem-5586 212 46 when when SCONJ fbem-5586 212 47 there there PRON fbem-5586 212 48 is be VERB fbem-5586 212 49 a a DET fbem-5586 212 50 certain certain ADJ fbem-5586 212 51 risk risk NOUN fbem-5586 212 52 in in ADP fbem-5586 212 53 the the DET fbem-5586 212 54 supply supply NOUN fbem-5586 212 55 chain chain NOUN fbem-5586 212 56 system system NOUN fbem-5586 212 57 , , PUNCT fbem-5586 212 58 the the DET fbem-5586 212 59 risk risk NOUN fbem-5586 212 60 enterprise enterprise NOUN fbem-5586 212 61 will will AUX fbem-5586 212 62 spread spread VERB fbem-5586 212 63 the the DET fbem-5586 212 64 risk risk NOUN fbem-5586 212 65 to to ADP fbem-5586 212 66 other other ADJ fbem-5586 212 67 enterprises enterprise NOUN fbem-5586 212 68 with with ADP fbem-5586 212 69 a a DET fbem-5586 212 70 certain certain ADJ fbem-5586 212 71 probability probability NOUN fbem-5586 212 72 , , PUNCT fbem-5586 212 73 so so SCONJ fbem-5586 212 74 that that SCONJ fbem-5586 212 75 it it PRON fbem-5586 212 76 has have VERB fbem-5586 212 77 potential potential ADJ fbem-5586 212 78 risks risk NOUN fbem-5586 212 79 . . PUNCT fbem-5586 213 1 at at ADP fbem-5586 213 2 this this DET fbem-5586 213 3 time time NOUN fbem-5586 213 4 , , PUNCT fbem-5586 213 5 if if SCONJ fbem-5586 213 6 the the DET fbem-5586 213 7 risk risk NOUN fbem-5586 213 8 latent latent NOUN fbem-5586 213 9 enterprise enterprise NOUN fbem-5586 213 10 does do AUX fbem-5586 213 11 not not PART fbem-5586 213 12 discover discover VERB fbem-5586 213 13 and and CCONJ fbem-5586 213 14 take take VERB fbem-5586 213 15 countermeasures countermeasure NOUN fbem-5586 213 16 in in ADP fbem-5586 213 17 time time NOUN fbem-5586 213 18 , , PUNCT fbem-5586 213 19 the the DET fbem-5586 213 20 risk risk NOUN fbem-5586 213 21 scale scale NOUN fbem-5586 213 22 will will AUX fbem-5586 213 23 gradually gradually ADV fbem-5586 213 24 expand expand VERB fbem-5586 213 25 unconsciously unconsciously ADV fbem-5586 213 26 . . PUNCT fbem-5586 214 1 when when SCONJ fbem-5586 214 2 the the DET fbem-5586 214 3 risk risk NOUN fbem-5586 214 4 is be AUX fbem-5586 214 5 revealed reveal VERB fbem-5586 214 6 and and CCONJ fbem-5586 214 7 erupted erupt VERB fbem-5586 214 8 , , PUNCT fbem-5586 214 9 the the DET fbem-5586 214 10 intensity intensity NOUN fbem-5586 214 11 and and CCONJ fbem-5586 214 12 speed speed NOUN fbem-5586 214 13 of of ADP fbem-5586 214 14 transmission transmission NOUN fbem-5586 214 15 will will AUX fbem-5586 214 16 be be AUX fbem-5586 214 17 hard hard ADJ fbem-5586 214 18 to to PART fbem-5586 214 19 control control VERB fbem-5586 214 20 . . PUNCT fbem-5586 215 1 therefore therefore ADV fbem-5586 215 2 , , PUNCT fbem-5586 215 3 relevant relevant ADJ fbem-5586 215 4 departments department NOUN fbem-5586 215 5 or or CCONJ fbem-5586 215 6 associations association NOUN fbem-5586 215 7 should should AUX fbem-5586 215 8 play play VERB fbem-5586 215 9 a a DET fbem-5586 215 10 good good ADJ fbem-5586 215 11 role role NOUN fbem-5586 215 12 as as ADP fbem-5586 215 13 a a DET fbem-5586 215 14 bridge bridge NOUN fbem-5586 215 15 between between ADP fbem-5586 215 16 the the DET fbem-5586 215 17 government government NOUN fbem-5586 215 18 and and CCONJ fbem-5586 215 19 the the DET fbem-5586 215 20 market market NOUN fbem-5586 215 21 , , PUNCT fbem-5586 215 22 play play VERB fbem-5586 215 23 a a DET fbem-5586 215 24 powerful powerful ADJ fbem-5586 215 25 service service NOUN fbem-5586 215 26 and and CCONJ fbem-5586 215 27 management management NOUN fbem-5586 215 28 function function NOUN fbem-5586 215 29 , , PUNCT fbem-5586 215 30 actively actively ADV fbem-5586 215 31 guide guide VERB fbem-5586 215 32 the the DET fbem-5586 215 33 industry industry NOUN fbem-5586 215 34 to to PART fbem-5586 215 35 introduce introduce VERB fbem-5586 215 36 the the DET fbem-5586 215 37 concept concept NOUN fbem-5586 215 38 of of ADP fbem-5586 215 39 supply supply NOUN fbem-5586 215 40 chain chain NOUN fbem-5586 215 41 management management NOUN fbem-5586 215 42 , , PUNCT fbem-5586 215 43 improve improve VERB fbem-5586 215 44 the the DET fbem-5586 215 45 risk risk NOUN fbem-5586 215 46 handling handling NOUN fbem-5586 215 47 ability ability NOUN fbem-5586 215 48 , , PUNCT fbem-5586 215 49 industry industry NOUN fbem-5586 215 50 economic economic ADJ fbem-5586 215 51 technology technology NOUN fbem-5586 215 52 and and CCONJ fbem-5586 215 53 management management NOUN fbem-5586 215 54 level level NOUN fbem-5586 215 55 , , PUNCT fbem-5586 215 56 and and CCONJ fbem-5586 215 57 promote promote VERB fbem-5586 215 58 the the DET fbem-5586 215 59 stability stability NOUN fbem-5586 215 60 of of ADP fbem-5586 215 61 the the DET fbem-5586 215 62 whole whole ADJ fbem-5586 215 63 supply supply NOUN fbem-5586 215 64 chain chain NOUN fbem-5586 215 65 network network NOUN fbem-5586 215 66 . . PUNCT fbem-5586 216 1 from from ADP fbem-5586 216 2 the the DET fbem-5586 216 3 perspective perspective NOUN fbem-5586 216 4 of of ADP fbem-5586 216 5 enterprises enterprise NOUN fbem-5586 216 6 , , PUNCT fbem-5586 216 7 in in ADP fbem-5586 216 8 a a DET fbem-5586 216 9 huge huge ADJ fbem-5586 216 10 and and CCONJ fbem-5586 216 11 complex complex ADJ fbem-5586 216 12 supply supply NOUN fbem-5586 216 13 chain chain NOUN fbem-5586 216 14 system system NOUN fbem-5586 216 15 , , PUNCT fbem-5586 216 16 each each DET fbem-5586 216 17 nodal nodal NOUN fbem-5586 216 18 enterprise enterprise NOUN fbem-5586 216 19 has have VERB fbem-5586 216 20 a a DET fbem-5586 216 21 certain certain ADJ fbem-5586 216 22 risk risk NOUN fbem-5586 216 23 resistance resistance NOUN fbem-5586 216 24 ability ability NOUN fbem-5586 216 25 . . PUNCT fbem-5586 217 1 when when SCONJ fbem-5586 217 2 the the DET fbem-5586 217 3 impact impact NOUN fbem-5586 217 4 of of ADP fbem-5586 217 5 risks risk NOUN fbem-5586 217 6 exceeds exceed VERB fbem-5586 217 7 the the DET fbem-5586 217 8 control control NOUN fbem-5586 217 9 scope scope NOUN fbem-5586 217 10 of of ADP fbem-5586 217 11 the the DET fbem-5586 217 12 enterprise enterprise NOUN fbem-5586 217 13 itself itself PRON fbem-5586 217 14 , , PUNCT fbem-5586 217 15 the the DET fbem-5586 217 16 risk risk NOUN fbem-5586 217 17 will will AUX fbem-5586 217 18 break break VERB fbem-5586 217 19 the the DET fbem-5586 217 20 resistance resistance NOUN fbem-5586 217 21 of of ADP fbem-5586 217 22 the the DET fbem-5586 217 23 enterprise enterprise NOUN fbem-5586 217 24 , , PUNCT fbem-5586 217 25 and and CCONJ fbem-5586 217 26 then then ADV fbem-5586 217 27 pass pass VERB fbem-5586 217 28 to to ADP fbem-5586 217 29 its its PRON fbem-5586 217 30 upstream upstream ADJ fbem-5586 217 31 and and CCONJ fbem-5586 217 32 downstream downstream ADJ fbem-5586 217 33 business business NOUN fbem-5586 217 34 enterprises enterprise NOUN fbem-5586 217 35 . . PUNCT fbem-5586 218 1 therefore therefore ADV fbem-5586 218 2 , , PUNCT fbem-5586 218 3 enterprises enterprise NOUN fbem-5586 218 4 should should AUX fbem-5586 218 5 strengthen strengthen VERB fbem-5586 218 6 their their PRON fbem-5586 218 7 risk risk NOUN fbem-5586 218 8 awareness awareness NOUN fbem-5586 218 9 , , PUNCT fbem-5586 218 10 improve improve VERB fbem-5586 218 11 risk risk NOUN fbem-5586 218 12 early early ADJ fbem-5586 218 13 warning warning NOUN fbem-5586 218 14 management management NOUN fbem-5586 218 15 , , PUNCT fbem-5586 218 16 investigate investigate VERB fbem-5586 218 17 , , PUNCT fbem-5586 218 18 analyze analyze VERB fbem-5586 218 19 and and CCONJ fbem-5586 218 20 identify identify VERB fbem-5586 218 21 supply supply NOUN fbem-5586 218 22 chain chain NOUN fbem-5586 218 23 bottlenecks bottleneck NOUN fbem-5586 218 24 , , PUNCT fbem-5586 218 25 and and CCONJ fbem-5586 218 26 formulate formulate VERB fbem-5586 218 27 corresponding correspond VERB fbem-5586 218 28 containment containment NOUN fbem-5586 218 29 measures measure NOUN fbem-5586 218 30 . . PUNCT fbem-5586 219 1 make make VERB fbem-5586 219 2 a a DET fbem-5586 219 3 reasonable reasonable ADJ fbem-5586 219 4 forecast forecast NOUN fbem-5586 219 5 scheme scheme NOUN fbem-5586 219 6 based base VERB fbem-5586 219 7 on on ADP fbem-5586 219 8 the the DET fbem-5586 219 9 original original ADJ fbem-5586 219 10 business business NOUN fbem-5586 219 11 plan plan NOUN fbem-5586 219 12 , , PUNCT fbem-5586 219 13 grasp grasp VERB fbem-5586 219 14 the the DET fbem-5586 219 15 dynamic dynamic ADJ fbem-5586 219 16 trend trend NOUN fbem-5586 219 17 of of ADP fbem-5586 219 18 supply supply NOUN fbem-5586 219 19 and and CCONJ fbem-5586 219 20 marketing marketing NOUN fbem-5586 219 21 , , PUNCT fbem-5586 219 22 and and CCONJ fbem-5586 219 23 reduce reduce VERB fbem-5586 219 24 the the DET fbem-5586 219 25 possibility possibility NOUN fbem-5586 219 26 of of ADP fbem-5586 219 27 selfcaused selfcause VERB fbem-5586 219 28 risks risk NOUN fbem-5586 219 29 . . PUNCT fbem-5586 220 1 at at ADP fbem-5586 220 2 the the DET fbem-5586 220 3 same same ADJ fbem-5586 220 4 time time NOUN fbem-5586 220 5 , , PUNCT fbem-5586 220 6 strengthen strengthen VERB fbem-5586 220 7 the the DET fbem-5586 220 8 contact contact NOUN fbem-5586 220 9 with with ADP fbem-5586 220 10 the the DET fbem-5586 220 11 upstream upstream ADJ fbem-5586 220 12 and and CCONJ fbem-5586 220 13 downstream downstream ADJ fbem-5586 220 14 business business NOUN fbem-5586 220 15 enterprises enterprise NOUN fbem-5586 220 16 , , PUNCT fbem-5586 220 17 break break VERB fbem-5586 220 18 through through ADP fbem-5586 220 19 the the DET fbem-5586 220 20 information information NOUN fbem-5586 220 21 islands island NOUN fbem-5586 220 22 , , PUNCT fbem-5586 220 23 realize realize VERB fbem-5586 220 24 the the DET fbem-5586 220 25 intelligence intelligence NOUN fbem-5586 220 26 , , PUNCT fbem-5586 220 27 interconnection interconnection NOUN fbem-5586 220 28 and and CCONJ fbem-5586 220 29 visualization visualization NOUN fbem-5586 220 30 of of ADP fbem-5586 220 31 the the DET fbem-5586 220 32 information information NOUN fbem-5586 220 33 system system NOUN fbem-5586 220 34 , , PUNCT fbem-5586 220 35 and and CCONJ fbem-5586 220 36 timely timely ADJ fbem-5586 220 37 and and CCONJ fbem-5586 220 38 effective effective ADJ fbem-5586 220 39 communication communication NOUN fbem-5586 220 40 with with ADP fbem-5586 220 41 external external ADJ fbem-5586 220 42 enterprises enterprise NOUN fbem-5586 220 43 can can AUX fbem-5586 220 44 ensure ensure VERB fbem-5586 220 45 that that SCONJ fbem-5586 220 46 enterprises enterprise NOUN fbem-5586 220 47 can can AUX fbem-5586 220 48 quickly quickly ADV fbem-5586 220 49 discover discover VERB fbem-5586 220 50 and and CCONJ fbem-5586 220 51 cope cope VERB fbem-5586 220 52 with with ADP fbem-5586 220 53 external external ADJ fbem-5586 220 54 risks risk NOUN fbem-5586 220 55 . . PUNCT fbem-5586 221 1 the the DET fbem-5586 221 2 study study NOUN fbem-5586 221 3 of of ADP fbem-5586 221 4 this this DET fbem-5586 221 5 paper paper NOUN fbem-5586 221 6 reflects reflect VERB fbem-5586 221 7 the the DET fbem-5586 221 8 risk risk NOUN fbem-5586 221 9 transmission transmission NOUN fbem-5586 221 10 mechanism mechanism NOUN fbem-5586 221 11 in in ADP fbem-5586 221 12 the the DET fbem-5586 221 13 supply supply NOUN fbem-5586 221 14 chain chain NOUN fbem-5586 221 15 network network NOUN fbem-5586 221 16 to to ADP fbem-5586 221 17 a a DET fbem-5586 221 18 certain certain ADJ fbem-5586 221 19 extent extent NOUN fbem-5586 221 20 , , PUNCT fbem-5586 221 21 and and CCONJ fbem-5586 221 22 explores explore VERB fbem-5586 221 23 the the DET fbem-5586 221 24 impact impact NOUN fbem-5586 221 25 of of ADP fbem-5586 221 26 some some DET fbem-5586 221 27 key key ADJ fbem-5586 221 28 elements element NOUN fbem-5586 221 29 on on ADP fbem-5586 221 30 risk risk NOUN fbem-5586 221 31 transmission transmission NOUN fbem-5586 221 32 , , PUNCT fbem-5586 221 33 but but CCONJ fbem-5586 221 34 many many ADJ fbem-5586 221 35 main main ADJ fbem-5586 221 36 elements element NOUN fbem-5586 221 37 still still ADV fbem-5586 221 38 need need VERB fbem-5586 221 39 to to PART fbem-5586 221 40 be be AUX fbem-5586 221 41 further far ADV fbem-5586 221 42 studied study VERB fbem-5586 221 43 . . PUNCT fbem-5586 222 1 for for ADP fbem-5586 222 2 example example NOUN fbem-5586 222 3 , , PUNCT fbem-5586 222 4 the the DET fbem-5586 222 5 research research NOUN fbem-5586 222 6 object object NOUN fbem-5586 222 7 of of ADP fbem-5586 222 8 this this DET fbem-5586 222 9 paper paper NOUN fbem-5586 222 10 is be AUX fbem-5586 222 11 not not PART fbem-5586 222 12 detailed detail VERB fbem-5586 222 13 into into ADP fbem-5586 222 14 the the DET fbem-5586 222 15 specific specific ADJ fbem-5586 222 16 supply supply NOUN fbem-5586 222 17 chain chain NOUN fbem-5586 222 18 situation situation NOUN fbem-5586 222 19 , , PUNCT fbem-5586 222 20 but but CCONJ fbem-5586 222 21 only only ADV fbem-5586 222 22 simulates simulate VERB fbem-5586 222 23 the the DET fbem-5586 222 24 risk risk NOUN fbem-5586 222 25 transmission transmission NOUN fbem-5586 222 26 process process NOUN fbem-5586 222 27 of of ADP fbem-5586 222 28 the the DET fbem-5586 222 29 supply supply NOUN fbem-5586 222 30 chain chain NOUN fbem-5586 222 31 system system NOUN fbem-5586 222 32 from from ADP fbem-5586 222 33 the the DET fbem-5586 222 34 macro macro ADJ fbem-5586 222 35 level level NOUN fbem-5586 222 36 . . PUNCT fbem-5586 223 1 therefore therefore ADV fbem-5586 223 2 , , PUNCT fbem-5586 223 3 i i PRON fbem-5586 223 4 intend intend VERB fbem-5586 223 5 to to PART fbem-5586 223 6 further far ADV fbem-5586 223 7 refine refine VERB fbem-5586 223 8 the the DET fbem-5586 223 9 subject subject ADJ fbem-5586 223 10 attributes attribute NOUN fbem-5586 223 11 and and CCONJ fbem-5586 223 12 build build VERB fbem-5586 223 13 a a DET fbem-5586 223 14 supply supply NOUN fbem-5586 223 15 chain chain NOUN fbem-5586 223 16 network network NOUN fbem-5586 223 17 model model NOUN fbem-5586 223 18 more more ADV fbem-5586 223 19 in in ADP fbem-5586 223 20 line line NOUN fbem-5586 223 21 with with ADP fbem-5586 223 22 the the DET fbem-5586 223 23 actual actual ADJ fbem-5586 223 24 situation situation NOUN fbem-5586 223 25 . . PUNCT fbem-5586 224 1 references reference NOUN fbem-5586 224 2 [ [ X fbem-5586 224 3 1 1 NUM fbem-5586 224 4 ] ] PUNCT fbem-5586 224 5 lin lin PROPN fbem-5586 224 6 fr fr PROPN fbem-5586 224 7 , , PUNCT fbem-5586 224 8 shaw shaw PROPN fbem-5586 224 9 mj mj PROPN fbem-5586 224 10 . . PROPN fbem-5586 224 11 reengineering reengineere VERB fbem-5586 224 12 the the DET fbem-5586 224 13 order order NOUN fbem-5586 224 14 fulfillment fulfillment NOUN fbem-5586 224 15 process process NOUN fbem-5586 224 16 in in ADP fbem-5586 224 17 supply supply NOUN fbem-5586 224 18 chain chain NOUN fbem-5586 224 19 networks[j].international networks[j].international PROPN fbem-5586 224 20 journal journal NOUN fbem-5586 224 21 of of ADP fbem-5586 224 22 flexible flexible ADJ fbem-5586 224 23 manufacturing manufacturing NOUN fbem-5586 224 24 systems system NOUN fbem-5586 224 25 , , PUNCT fbem-5586 224 26 1998,10(3):197 1998,10(3):197 NUM fbem-5586 224 27 - - SYM fbem-5586 224 28 229 229 NUM fbem-5586 224 29 . . PUNCT fbem-5586 225 1 [ [ X fbem-5586 225 2 2 2 NUM fbem-5586 225 3 ] ] PUNCT fbem-5586 225 4 choi choi NOUN fbem-5586 225 5 ty ty PROPN fbem-5586 225 6 , , PUNCT fbem-5586 225 7 dooley dooley PROPN fbem-5586 225 8 kj kj PROPN fbem-5586 225 9 , , PUNCT fbem-5586 225 10 rungtusanatham rungtusanatham VERB fbem-5586 225 11 m.supply m.supply ADJ fbem-5586 225 12 networks network NOUN fbem-5586 225 13 and and CCONJ fbem-5586 225 14 complex complex ADJ fbem-5586 225 15 adaptive adaptive ADJ fbem-5586 225 16 systems system NOUN fbem-5586 225 17 : : PUNCT fbem-5586 225 18 control control NOUN fbem-5586 225 19 versus versus ADP fbem-5586 225 20 emergence emergence VERB fbem-5586 225 21 [ [ X fbem-5586 225 22 j j X fbem-5586 225 23 ] ] X fbem-5586 225 24 . . PUNCT fbem-5586 226 1 journal journal PROPN fbem-5586 226 2 of of ADP fbem-5586 226 3 operations operation NOUN fbem-5586 226 4 management management NOUN fbem-5586 226 5 , , PUNCT fbem-5586 226 6 2001,19(3):351 2001,19(3):351 NOUN fbem-5586 226 7 - - PUNCT fbem-5586 226 8 366 366 NUM fbem-5586 226 9 . . PUNCT fbem-5586 227 1 [ [ X fbem-5586 227 2 3 3 X fbem-5586 227 3 ] ] PUNCT fbem-5586 227 4 thadakamalla thadakamalla NOUN fbem-5586 227 5 h h PROPN fbem-5586 227 6 p p NOUN fbem-5586 227 7 , , PUNCT fbem-5586 227 8 raghavanun raghavanun PROPN fbem-5586 227 9 , , PUNCT fbem-5586 227 10 kumaras kumaras PROPN fbem-5586 227 11 , , PUNCT fbem-5586 227 12 et et NOUN fbem-5586 227 13 al．survivability al．survivability NOUN fbem-5586 227 14 of of ADP fbem-5586 227 15 multiagent multiagent NOUN fbem-5586 227 16 based base VERB fbem-5586 227 17 supply supply NOUN fbem-5586 227 18 networks network NOUN fbem-5586 227 19 : : PUNCT fbem-5586 227 20 a a DET fbem-5586 227 21 topological topological ADJ fbem-5586 227 22 perspective[jοΌ½.ieee perspective[jοΌ½.ieee NOUN fbem-5586 227 23 intelligent intelligent ADJ fbem-5586 227 24 systems,2004,19 systems,2004,19 ADJ fbem-5586 227 25 ( ( PUNCT fbem-5586 227 26 5 5 NUM fbem-5586 227 27 ) ) PUNCT fbem-5586 227 28 : : PUNCT fbem-5586 227 29 2431 2431 NUM fbem-5586 227 30 254 254 NUM fbem-5586 228 1 [ [ SYM fbem-5586 228 2 4 4 NUM fbem-5586 228 3 ] ] X fbem-5586 228 4 zhao zhao PROPN fbem-5586 228 5 k k PROPN fbem-5586 228 6 , , PUNCT fbem-5586 228 7 kumaο½’ kumaο½’ PROPN fbem-5586 228 8 a a PROPN fbem-5586 228 9 , , PUNCT fbem-5586 228 10 haο½’ο½’ison haο½’ο½’ison PROPN fbem-5586 228 11 t t PROPN fbem-5586 228 12 p p PROPN fbem-5586 228 13 , , PUNCT fbem-5586 228 14 et et PROPN fbem-5586 228 15 al al PROPN fbem-5586 228 16 . . PUNCT fbem-5586 228 17 analyzing analyze VERB fbem-5586 228 18 the the DET fbem-5586 228 19 resilience resilience NOUN fbem-5586 228 20 of of ADP fbem-5586 228 21 complex complex ADJ fbem-5586 228 22 supply supply NOUN fbem-5586 228 23 network network NOUN fbem-5586 228 24 topologies topology NOUN fbem-5586 228 25 against against ADP fbem-5586 228 26 random random ADJ fbem-5586 228 27 and and CCONJ fbem-5586 228 28 targeted target VERB fbem-5586 228 29 disruptions disruption NOUN fbem-5586 228 30 [ [ X fbem-5586 228 31 j j X fbem-5586 228 32 ] ] X fbem-5586 228 33 . . PUNCT fbem-5586 229 1 ieee ieee PROPN fbem-5586 229 2 systems systems PROPN fbem-5586 229 3 journal journal PROPN fbem-5586 229 4 , , PUNCT fbem-5586 229 5 2011 2011 NUM fbem-5586 229 6 , , PUNCT fbem-5586 229 7 5 5 NUM fbem-5586 229 8 ( ( PUNCT fbem-5586 229 9 1 1 NUM fbem-5586 229 10 ) ) PUNCT fbem-5586 229 11 : : PUNCT fbem-5586 229 12 28 28 NUM fbem-5586 229 13 39 39 NUM fbem-5586 230 1 [ [ X fbem-5586 230 2 5 5 NUM fbem-5586 230 3 ] ] X fbem-5586 230 4 chen chen PROPN fbem-5586 230 5 - - PUNCT fbem-5586 230 6 yang yang PROPN fbem-5586 230 7 cheng cheng PROPN fbem-5586 230 8 , , PUNCT fbem-5586 230 9 tzu tzu PROPN fbem-5586 230 10 - - PUNCT fbem-5586 230 11 li li PROPN fbem-5586 230 12 chen chen PROPN fbem-5586 230 13 , , PUNCT fbem-5586 230 14 yin yin PROPN fbem-5586 230 15 - - PUNCT fbem-5586 230 16 yann yann PROPN fbem-5586 230 17 chen chen PROPN fbem-5586 230 18 . . PUNCT fbem-5586 231 1 an an DET fbem-5586 231 2 analysis analysis NOUN fbem-5586 231 3 of of ADP fbem-5586 231 4 the the DET fbem-5586 231 5 structural structural ADJ fbem-5586 231 6 complexity complexity NOUN fbem-5586 231 7 of of ADP fbem-5586 231 8 supply supply NOUN fbem-5586 231 9 chain chain VERB fbem-5586 231 10 networks[j networks[j PROPN fbem-5586 231 11 ] ] PUNCT fbem-5586 231 12 . . PUNCT fbem-5586 232 1 applied apply VERB fbem-5586 232 2 mathematical mathematical ADJ fbem-5586 232 3 modelling model VERB fbem-5586 232 4 2014,(38 2014,(38 NUM fbem-5586 232 5 ): ): PUNCT fbem-5586 232 6 2328–2344 2328–2344 NUM fbem-5586 233 1 [ [ X fbem-5586 233 2 6 6 NUM fbem-5586 233 3 ] ] X fbem-5586 233 4 mcfarland mcfarland PROPN fbem-5586 233 5 rg rg PROPN fbem-5586 233 6 , , PUNCT fbem-5586 233 7 bloodgood bloodgood PROPN fbem-5586 233 8 j j PROPN fbem-5586 233 9 m m PROPN fbem-5586 233 10 , , PUNCT fbem-5586 233 11 payan payan PROPN fbem-5586 233 12 j j PROPN fbem-5586 233 13 m. m. NOUN fbem-5586 233 14 supply supply PROPN fbem-5586 233 15 chain chain NOUN fbem-5586 233 16 contagion[j contagion[j PROPN fbem-5586 233 17 ] ] PUNCT fbem-5586 233 18 . . PUNCT fbem-5586 233 19 journal journal PROPN fbem-5586 233 20 of of ADP fbem-5586 233 21 marketing marketing NOUN fbem-5586 233 22 , , PUNCT fbem-5586 233 23 2008,72(2):63 2008,72(2):63 NUM fbem-5586 233 24 - - SYM fbem-5586 233 25 79 79 NUM fbem-5586 233 26 . . PUNCT fbem-5586 234 1 [ [ X fbem-5586 234 2 7 7 NUM fbem-5586 234 3 ] ] X fbem-5586 234 4 cheng cheng PROPN fbem-5586 234 5 sk sk PROPN fbem-5586 234 6 , , PUNCT fbem-5586 234 7 kam kam PROPN fbem-5586 234 8 bh.a bh.a NOUN fbem-5586 234 9 conceptual conceptual ADJ fbem-5586 234 10 framework framework NOUN fbem-5586 234 11 for for ADP fbem-5586 234 12 analysing analyse VERB fbem-5586 234 13 risk risk NOUN fbem-5586 234 14 in in ADP fbem-5586 234 15 supply supply NOUN fbem-5586 234 16 networks network NOUN fbem-5586 234 17 [ [ X fbem-5586 234 18 j j X fbem-5586 234 19 ] ] X fbem-5586 234 20 . . PUNCT fbem-5586 235 1 journal journal PROPN fbem-5586 235 2 of of ADP fbem-5586 235 3 enterprise enterprise NOUN fbem-5586 235 4 information information NOUN fbem-5586 235 5 management management NOUN fbem-5586 235 6 , , PUNCT fbem-5586 235 7 2008 2008 NUM fbem-5586 235 8 , , PUNCT fbem-5586 235 9 21(4):345 21(4):345 NUM fbem-5586 235 10 - - SYM fbem-5586 235 11 360 360 NUM fbem-5586 235 12 . . PUNCT fbem-5586 236 1 [ [ X fbem-5586 236 2 8 8 NUM fbem-5586 236 3 ] ] X fbem-5586 236 4 qiu qiu PROPN fbem-5586 236 5 yinggui yinggui PROPN fbem-5586 236 6 . . PUNCT fbem-5586 237 1 research research NOUN fbem-5586 237 2 on on ADP fbem-5586 237 3 risk risk NOUN fbem-5586 237 4 transfer transfer NOUN fbem-5586 237 5 and and CCONJ fbem-5586 237 6 control control NOUN fbem-5586 237 7 of of ADP fbem-5586 237 8 supply supply NOUN fbem-5586 237 9 chain chain NOUN fbem-5586 238 1 [ [ X fbem-5586 238 2 d d X fbem-5586 238 3 ] ] X fbem-5586 238 4 . . PUNCT fbem-5586 239 1 wuhan wuhan PROPN fbem-5586 239 2 university university PROPN fbem-5586 239 3 of of ADP fbem-5586 239 4 technology technology NOUN fbem-5586 239 5 , , PUNCT fbem-5586 239 6 2010 2010 NUM fbem-5586 239 7 . . PUNCT fbem-5586 240 1 [ [ X fbem-5586 240 2 9 9 NUM fbem-5586 240 3 ] ] X fbem-5586 240 4 yang yang PROPN fbem-5586 240 5 kang kang PROPN fbem-5586 240 6 , , PUNCT fbem-5586 240 7 zhang zhang PROPN fbem-5586 240 8 zhongyi zhongyi PROPN fbem-5586 240 9 . . PUNCT fbem-5586 241 1 research research NOUN fbem-5586 241 2 on on ADP fbem-5586 241 3 risk risk NOUN fbem-5586 241 4 propagation propagation NOUN fbem-5586 241 5 mechanism mechanism NOUN fbem-5586 241 6 of of ADP fbem-5586 241 7 supply supply NOUN fbem-5586 241 8 chain chain NOUN fbem-5586 241 9 network network NOUN fbem-5586 241 10 based base VERB fbem-5586 241 11 on on ADP fbem-5586 241 12 complex complex ADJ fbem-5586 241 13 network network NOUN fbem-5586 241 14 theory theory NOUN fbem-5586 241 15 [ [ X fbem-5586 241 16 j j X fbem-5586 241 17 ] ] X fbem-5586 241 18 . . PUNCT fbem-5586 242 1 systems system NOUN fbem-5586 242 2 science science NOUN fbem-5586 242 3 and and CCONJ fbem-5586 242 4 mathematics mathematic NOUN fbem-5586 242 5 , , PUNCT fbem-5586 242 6 2013 2013 NUM fbem-5586 242 7 , , PUNCT fbem-5586 242 8 33(10):92 33(10):92 NUM fbem-5586 242 9 - - SYM fbem-5586 242 10 100 100 NUM fbem-5586 242 11 . . PUNCT fbem-5586 243 1 [ [ X fbem-5586 243 2 10 10 NUM fbem-5586 243 3 ] ] X fbem-5586 243 4 zhao zhao PROPN fbem-5586 243 5 gang gang PROPN fbem-5586 243 6 , , PUNCT fbem-5586 243 7 yang yang PROPN fbem-5586 243 8 yingbao yingbao PROPN fbem-5586 243 9 , , PUNCT fbem-5586 243 10 bao bao PROPN fbem-5586 243 11 xu xu PROPN fbem-5586 243 12 . . PUNCT fbem-5586 244 1 supply supply NOUN fbem-5586 244 2 chain chain NOUN fbem-5586 244 3 network network NOUN fbem-5586 244 4 risk risk NOUN fbem-5586 244 5 diffusion diffusion NOUN fbem-5586 244 6 dynamics dynamic NOUN fbem-5586 244 7 model model NOUN fbem-5586 244 8 and and CCONJ fbem-5586 244 9 its its PRON fbem-5586 244 10 application application NOUN fbem-5586 245 1 [ [ X fbem-5586 245 2 j j X fbem-5586 245 3 ] ] X fbem-5586 245 4 . . PUNCT fbem-5586 246 1 systems system NOUN fbem-5586 246 2 engineering engineering NOUN fbem-5586 246 3 theory theory NOUN fbem-5586 246 4 & & CCONJ fbem-5586 246 5 practice practice PROPN fbem-5586 246 6 , , PUNCT fbem-5586 246 7 2015,35(8):2014 2015,35(8):2014 NUM fbem-5586 246 8 - - SYM fbem-5586 246 9 2024 2024 NUM fbem-5586 246 10 . . PUNCT fbem-5586 247 1 [ [ X fbem-5586 247 2 11 11 NUM fbem-5586 247 3 ] ] X fbem-5586 247 4 yi yi PROPN fbem-5586 247 5 huini huini PROPN fbem-5586 247 6 . . PUNCT fbem-5586 248 1 research research NOUN fbem-5586 248 2 on on ADP fbem-5586 248 3 risk risk NOUN fbem-5586 248 4 transmission transmission NOUN fbem-5586 248 5 and and CCONJ fbem-5586 248 6 control control NOUN fbem-5586 248 7 of of ADP fbem-5586 248 8 automotive automotive ADJ fbem-5586 248 9 supply supply NOUN fbem-5586 248 10 chain chain NOUN fbem-5586 249 1 [ [ X fbem-5586 249 2 d d X fbem-5586 249 3 ] ] X fbem-5586 249 4 . . PUNCT fbem-5586 250 1 southwest southwest PROPN fbem-5586 250 2 jiaotong jiaotong PROPN fbem-5586 250 3 university university PROPN fbem-5586 250 4 , , PUNCT fbem-5586 250 5 2015 2015 NUM fbem-5586 250 6 . . PUNCT fbem-5586 251 1 [ [ X fbem-5586 251 2 12 12 NUM fbem-5586 251 3 ] ] X fbem-5586 251 4 open open ADJ fbem-5586 251 5 . . PUNCT fbem-5586 252 1 research research NOUN fbem-5586 252 2 on on ADP fbem-5586 252 3 risk risk NOUN fbem-5586 252 4 transmission transmission NOUN fbem-5586 252 5 and and CCONJ fbem-5586 252 6 control control NOUN fbem-5586 252 7 of of ADP fbem-5586 252 8 automobile automobile NOUN fbem-5586 252 9 manufacturing manufacturing NOUN fbem-5586 252 10 supply supply NOUN fbem-5586 252 11 chain chain NOUN fbem-5586 252 12 based base VERB fbem-5586 252 13 on on ADP fbem-5586 252 14 sir sir PROPN fbem-5586 252 15 model model NOUN fbem-5586 253 1 [ [ X fbem-5586 253 2 d d X fbem-5586 253 3 ] ] X fbem-5586 253 4 . . PUNCT fbem-5586 254 1 shenyang shenyang PROPN fbem-5586 254 2 university university PROPN fbem-5586 254 3 , , PUNCT fbem-5586 254 4 2019 2019 NUM fbem-5586 254 5 . . PUNCT fbem-5586 255 1 [ [ X fbem-5586 255 2 13 13 NUM fbem-5586 255 3 ] ] PUNCT fbem-5586 255 4 huo huo PROPN fbem-5586 255 5 l l PROPN fbem-5586 255 6 a a X fbem-5586 255 7 , , PUNCT fbem-5586 255 8 guo guo PROPN fbem-5586 255 9 h h NOUN fbem-5586 255 10 , , PUNCT fbem-5586 255 11 cheng cheng PROPN fbem-5586 255 12 y. y. PROPN fbem-5586 255 13 supply supply PROPN fbem-5586 255 14 chain chain NOUN fbem-5586 255 15 risk risk NOUN fbem-5586 255 16 propagation propagation NOUN fbem-5586 255 17 model model NOUN fbem-5586 255 18 considering consider VERB fbem-5586 255 19 the the DET fbem-5586 255 20 herd herd NOUN fbem-5586 255 21 mentality mentality NOUN fbem-5586 255 22 mechanism mechanism NOUN fbem-5586 255 23 and and CCONJ fbem-5586 255 24 risk risk NOUN fbem-5586 255 25 preference[j preference[j NOUN fbem-5586 255 26 ] ] PUNCT fbem-5586 255 27 . . PUNCT fbem-5586 256 1 physica physica PROPN fbem-5586 256 2 a a DET fbem-5586 256 3 : : PUNCT fbem-5586 256 4 statistical statistical ADJ fbem-5586 256 5 mechanics mechanic NOUN fbem-5586 256 6 and and CCONJ fbem-5586 256 7 its its PRON fbem-5586 256 8 applications,2019,529(5):1 applications,2019,529(5):1 NOUN fbem-5586 256 9 - - PUNCT fbem-5586 256 10 12 12 NUM fbem-5586 256 11 . . PUNCT fbem-5586 257 1 [ [ X fbem-5586 257 2 14 14 NUM fbem-5586 257 3 ] ] X fbem-5586 257 4 zhao zhao PROPN fbem-5586 257 5 meng meng PROPN fbem-5586 257 6 , , PUNCT fbem-5586 257 7 pan pan PROPN fbem-5586 257 8 jian jian PROPN fbem-5586 257 9 . . PROPN fbem-5586 257 10 research research PROPN fbem-5586 257 11 on on ADP fbem-5586 257 12 bsr bsr NOUN fbem-5586 257 13 - - ADJ fbem-5586 257 14 rp rp ADJ fbem-5586 257 15 model model NOUN fbem-5586 257 16 simulation simulation NOUN fbem-5586 257 17 of of ADP fbem-5586 257 18 supply supply NOUN fbem-5586 257 19 chain chain NOUN fbem-5586 257 20 risk risk NOUN fbem-5586 257 21 communication communication NOUN fbem-5586 258 1 [ [ X fbem-5586 258 2 j j X fbem-5586 258 3 ] ] X fbem-5586 258 4 . . PUNCT fbem-5586 259 1 computer computer NOUN fbem-5586 259 2 technology technology NOUN fbem-5586 259 3 and and CCONJ fbem-5586 259 4 development development NOUN fbem-5586 259 5 , , PUNCT fbem-5586 259 6 20,30 20,30 NUM fbem-5586 259 7 ( ( PUNCT fbem-5586 259 8 4):139 4):139 NOUN fbem-5586 259 9 145 145 NUM fbem-5586 259 10 . . PUNCT fbem-5586 260 1 [ [ X fbem-5586 260 2 15 15 NUM fbem-5586 260 3 ] ] X fbem-5586 260 4 yang yang PROPN fbem-5586 260 5 bo bo PROPN fbem-5586 260 6 , , PUNCT fbem-5586 260 7 yu yu PROPN fbem-5586 260 8 zhenhua zhenhua PROPN fbem-5586 260 9 . . PUNCT fbem-5586 261 1 study study NOUN fbem-5586 261 2 on on ADP fbem-5586 261 3 mathematical mathematical ADJ fbem-5586 261 4 modeling modeling NOUN fbem-5586 261 5 of of ADP fbem-5586 261 6 transmission transmission NOUN fbem-5586 261 7 and and CCONJ fbem-5586 261 8 control control NOUN fbem-5586 261 9 of of ADP fbem-5586 261 10 novel novel ADJ fbem-5586 261 11 coronavirus coronavirus NOUN fbem-5586 261 12 pneumonia pneumonia NOUN fbem-5586 262 1 [ [ X fbem-5586 262 2 j j X fbem-5586 262 3 ] ] X fbem-5586 262 4 . . PUNCT fbem-5586 263 1 journal journal PROPN fbem-5586 263 2 of of ADP fbem-5586 263 3 xi xi PROPN fbem-5586 263 4 ' ' PUNCT fbem-5586 263 5 an an DET fbem-5586 263 6 jiaotong jiaotong ADJ fbem-5586 263 7 university university NOUN fbem-5586 263 8 . . PUNCT fbem-5586 264 1 201,55(11 201,55(11 NUM fbem-5586 264 2 ) ) PUNCT fbem-5586 265 1 [ [ X fbem-5586 265 2 16 16 NUM fbem-5586 265 3 ] ] PUNCT fbem-5586 265 4 diabat diabat NOUN fbem-5586 265 5 a a DET fbem-5586 265 6 , , PUNCT fbem-5586 265 7 govindan govindan PROPN fbem-5586 265 8 k k NOUN fbem-5586 265 9 , , PUNCT fbem-5586 265 10 panicker panicker PROPN fbem-5586 265 11 v v PROPN fbem-5586 265 12 v. v. CCONJ fbem-5586 265 13 supply supply NOUN fbem-5586 265 14 chain chain NOUN fbem-5586 265 15 risk risk NOUN fbem-5586 265 16 management management NOUN fbem-5586 265 17 and and CCONJ fbem-5586 265 18 its its PRON fbem-5586 265 19 mitigation mitigation NOUN fbem-5586 265 20 in in ADP fbem-5586 265 21 a a DET fbem-5586 265 22 food food NOUN fbem-5586 265 23 industry[j industry[j NOUN fbem-5586 265 24 ] ] PUNCT fbem-5586 265 25 . . PUNCT fbem-5586 266 1 international international ADJ fbem-5586 266 2 journal journal PROPN fbem-5586 266 3 of of ADP fbem-5586 266 4 production production NOUN fbem-5586 266 5 research research NOUN fbem-5586 266 6 , , PUNCT fbem-5586 266 7 2012 2012 NUM fbem-5586 266 8 , , PUNCT fbem-5586 266 9 50 50 NUM fbem-5586 266 10 ( ( PUNCT fbem-5586 266 11 11 11 NUM fbem-5586 266 12 ) ) PUNCT fbem-5586 266 13 : : PUNCT fbem-5586 266 14 3039 3039 NUM fbem-5586 266 15 - - SYM fbem-5586 266 16 3050 3050 NUM fbem-5586 266 17 . . PUNCT