{"id":"https://openalex.org/W4387741545","doi":"https://doi.org/10.1017/s095679252300027x","title":"Effects of concurrency on epidemic spreading in Markovian temporal networks","display_name":"Effects of concurrency on epidemic spreading in Markovian temporal networks","publication_year":2023,"publication_date":"2023-10-18","ids":{"openalex":"https://openalex.org/W4387741545","doi":"https://doi.org/10.1017/s095679252300027x"},"language":"en","primary_location":{"id":"doi:10.1017/s095679252300027x","doi":"https://doi.org/10.1017/s095679252300027x","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s095679252300027x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4ED049AD66509838D3E66588C4622281/S095679252300027Xa.pdf/div-class-title-effects-of-concurrency-on-epidemic-spreading-in-markovian-temporal-networks-div.pdf","source":{"id":"https://openalex.org/S8839896","display_name":"European Journal of Applied Mathematics","issn_l":"0956-7925","issn":["0956-7925","1469-4425"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Applied Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4ED049AD66509838D3E66588C4622281/S095679252300027Xa.pdf/div-class-title-effects-of-concurrency-on-epidemic-spreading-in-markovian-temporal-networks-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015048144","display_name":"Ruodan Liu","orcid":"https://orcid.org/0000-0003-0125-7097","observed_orcids":["https://orcid.org/0000-0003-0125-7097"]},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ruodan Liu","raw_affiliation_strings":["Department of Mathematics, State University of New York at Buffalo, Buffalo, NY, 14260-2900, USA"],"raw_orcid":"https://orcid.org/0000-0003-0125-7097","affiliations":[{"raw_affiliation_string":"Department of Mathematics, State University of New York at Buffalo, Buffalo, NY, 14260-2900, USA","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051410414","display_name":"Masaki Ogura","orcid":"https://orcid.org/0000-0002-3857-3942","observed_orcids":["https://orcid.org/0000-0002-3857-3942"]},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masaki Ogura","raw_affiliation_strings":["Graduate School of Information Science and Technology, Osaka University, Suita, Osaka, 565-0871, Japan"],"raw_orcid":"https://orcid.org/0000-0002-3857-3942","affiliations":[{"raw_affiliation_string":"Graduate School of Information Science and Technology, Osaka University, Suita, Osaka, 565-0871, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039162249","display_name":"Elohim Fonseca dos Reis","orcid":"https://orcid.org/0000-0001-9658-380X","observed_orcids":["https://orcid.org/0000-0001-9658-380X"]},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Elohim Fonseca Dos Reis","raw_affiliation_strings":["Department of Mathematics, State University of New York at Buffalo, Buffalo, NY, 14260-2900, USA"],"raw_orcid":"https://orcid.org/0000-0001-9658-380X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, State University of New York at Buffalo, Buffalo, NY, 14260-2900, USA","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086073834","display_name":"Naoki Masuda","orcid":"https://orcid.org/0000-0003-1567-801X","observed_orcids":["https://orcid.org/0000-0003-1567-801X"]},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]},{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["JP","US"],"is_corresponding":true,"raw_author_name":"Naoki Masuda","raw_affiliation_strings":["Computational and Data-Enabled Sciences and Engineering Program, State University of New York at Buffalo, Buffalo, NY, 14260-5030, USA","Department of Mathematics, State University of New York at Buffalo, Buffalo, NY, 14260-2900, USA","Faculty of Science and Engineering, Waseda University, 169-8555, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0003-1567-801X","affiliations":[{"raw_affiliation_string":"Computational and Data-Enabled Sciences and Engineering Program, State University of New York at Buffalo, Buffalo, NY, 14260-5030, USA","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"Department of Mathematics, State University of New York at Buffalo, Buffalo, NY, 14260-2900, USA","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"Faculty of Science and Engineering, Waseda University, 169-8555, Tokyo, Japan","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086073834"],"corresponding_institution_ids":["https://openalex.org/I150744194","https://openalex.org/I63190737"],"apc_list":{"value":3255,"currency":"USD","value_usd":3255},"apc_paid":{"value":3255,"currency":"USD","value_usd":3255},"fwci":0.0834,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.19252159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"35","issue":"3","first_page":"430","last_page":"461"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.018200000748038292,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/epidemic-spreading","display_name":"epidemic spread","score":0.8709999918937683},{"id":"https://openalex.org/keywords/dynamic-networks","display_name":"dynamic networks","score":0.9509999752044678},{"id":"https://openalex.org/keywords/epidemic-threshold","display_name":"epidemic threshold","score":0.828000009059906},{"id":"https://openalex.org/keywords/sis-model","display_name":"SIS epidemic model","score":0.7670000195503235},{"id":"https://openalex.org/keywords/sir-model","display_name":"SIR model","score":0.9959999918937683},{"id":"https://openalex.org/keywords/stochastic-epidemic-dynamics","display_name":"stochastic epidemic dynamics","score":0.5410000085830688},{"id":"https://openalex.org/keywords/network-structure","display_name":"network structure","score":0.35899999737739563}],"concepts":[{"id":"https://openalex.org/C193702766","wikidata":"https://www.wikidata.org/wiki/Q1414548","display_name":"Concurrency","level":2,"score":0.9167487621307373},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.658039927482605},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6244064569473267},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.5260781645774841},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5212512612342834},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5173137187957764},{"id":"https://openalex.org/C2775941552","wikidata":"https://www.wikidata.org/wiki/Q25212305","display_name":"Isolation (microbiology)","level":2,"score":0.45103180408477783},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.35442018508911133},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.197439044713974},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08820143342018127},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07856202125549316},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07821765542030334},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0648355484008789},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C89423630","wikidata":"https://www.wikidata.org/wiki/Q7193","display_name":"Microbiology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s095679252300027x","doi":"https://doi.org/10.1017/s095679252300027x","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s095679252300027x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4ED049AD66509838D3E66588C4622281/S095679252300027Xa.pdf/div-class-title-effects-of-concurrency-on-epidemic-spreading-in-markovian-temporal-networks-div.pdf","source":{"id":"https://openalex.org/S8839896","display_name":"European Journal of Applied Mathematics","issn_l":"0956-7925","issn":["0956-7925","1469-4425"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2201.00754","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2201.00754","pdf_url":"https://arxiv.org/pdf/2201.00754","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2201.00754","doi":"https://doi.org/10.48550/arxiv.2201.00754","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2201.00754","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1017/s095679252300027x","doi":"https://doi.org/10.1017/s095679252300027x","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s095679252300027x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4ED049AD66509838D3E66588C4622281/S095679252300027Xa.pdf/div-class-title-effects-of-concurrency-on-epidemic-spreading-in-markovian-temporal-networks-div.pdf","source":{"id":"https://openalex.org/S8839896","display_name":"European Journal of Applied Mathematics","issn_l":"0956-7925","issn":["0956-7925","1469-4425"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1725334619","display_name":"\u8907\u96d1\u81d3\u5668\u5236\u5fa1\u7cfb\u306e\u6570\u7406\u7684\u5305\u62ec\u7406\u89e3\u3068\u8d85\u65e9\u671f\u7cbe\u5bc6\u533b\u7642\u3078\u306e\u6311\u6226","funder_award_id":"JPMJMS2021","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G5368403867","display_name":null,"funder_award_id":"JPMJMS2021","funder_id":"https://openalex.org/F4320338247","funder_display_name":"Moonshot Research and Development Program"},{"id":"https://openalex.org/G6687757193","display_name":null,"funder_award_id":"JPMJMS2021","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7494672580","display_name":null,"funder_award_id":"JP21H01352","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G920665622","display_name":null,"funder_award_id":"FA9550-19-1-7024","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320325454","display_name":"Nakatani Foundation for Advancement of Measuring Technologies in Biomedical Engineering","ror":"https://ror.org/00ma7c320"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320334789","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320338247","display_name":"Moonshot Research and Development Program","ror":null},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387741545.pdf","grobid_xml":"https://content.openalex.org/works/W4387741545.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W1479863711","https://openalex.org/W1523808012","https://openalex.org/W1544632947","https://openalex.org/W1878853999","https://openalex.org/W1914027636","https://openalex.org/W1937334562","https://openalex.org/W1976097154","https://openalex.org/W1977382351","https://openalex.org/W1981807265","https://openalex.org/W2008620264","https://openalex.org/W2012245424","https://openalex.org/W2013433543","https://openalex.org/W2013558775","https://openalex.org/W2015953751","https://openalex.org/W2017384049","https://openalex.org/W2026552514","https://openalex.org/W2035955342","https://openalex.org/W2037513907","https://openalex.org/W2038195874","https://openalex.org/W2043618431","https://openalex.org/W2057450492","https://openalex.org/W2058673684","https://openalex.org/W2090081488","https://openalex.org/W2110852762","https://openalex.org/W2112494680","https://openalex.org/W2114779260","https://openalex.org/W2116870694","https://openalex.org/W2118820208","https://openalex.org/W2121497605","https://openalex.org/W2149769615","https://openalex.org/W2160642361","https://openalex.org/W2295461642","https://openalex.org/W2337226558","https://openalex.org/W2489125130","https://openalex.org/W2516838327","https://openalex.org/W2590903449","https://openalex.org/W2729026193","https://openalex.org/W2766699080","https://openalex.org/W2773050805","https://openalex.org/W2952753248","https://openalex.org/W2978335758","https://openalex.org/W2982702700","https://openalex.org/W3037819556","https://openalex.org/W3082182506","https://openalex.org/W3087455698","https://openalex.org/W3116355192","https://openalex.org/W3121858545","https://openalex.org/W4229706427","https://openalex.org/W4235019172","https://openalex.org/W4235143360","https://openalex.org/W4251636534","https://openalex.org/W4252394414","https://openalex.org/W4253662244","https://openalex.org/W4311987092"],"related_works":["https://openalex.org/W2982702700","https://openalex.org/W2590903449","https://openalex.org/W3116355192","https://openalex.org/W2295461642","https://openalex.org/W7076423864","https://openalex.org/W2026552514","https://openalex.org/W4394999201","https://openalex.org/W2886272559","https://openalex.org/W2048186046","https://openalex.org/W2922583234"],"abstract_inverted_index":{"Abstract":[0],"The":[1,54,206],"concurrency":[2,61,105,120,141,170,189,220],"of":[3,9,26,60,73,82,93,104,106,119,177,188,219],"edges,":[4],"quantified":[5],"by":[6],"the":[7,46,66,70,80,91,94,102,125,132,140,146,159,166,169,186,201],"number":[8],"edges":[10,107],"that":[11,139,185],"share":[12,69],"a":[13,17,109,175],"common":[14],"node":[15,110],"at":[16],"given":[18],"time":[19,83],"point,":[20],"may":[21],"be":[22,214],"an":[23],"important":[24],"determinant":[25],"epidemic":[27,122,143,147,167,172,192,202],"processes":[28],"in":[29,40,51,124,154,174],"temporal":[30,37,134,208],"networks.":[31],"We":[32,99,114,137],"propose":[33],"theoretically":[34],"tractable":[35],"Markovian":[36],"network":[38,135,209],"models":[39,56,67,210],"which":[41,85],"each":[42,86,112],"edge":[43,74,87],"flips":[44],"between":[45],"active":[47],"and":[48,76,90,128,230],"inactive":[49],"states":[50],"continuous":[52],"time.":[53],"different":[55,58],"have":[57],"amounts":[59],"while":[62,149],"we":[63],"can":[64],"tune":[65],"to":[68,213],"same":[71],"statistics":[72],"activation":[75],"deactivation":[77],"(and":[78],"hence":[79],"fraction":[81],"for":[84,111,216],"is":[88,152,162,197],"active)":[89],"structure":[92],"aggregate":[95],"(i.e.,":[96],"static)":[97],"network.":[98],"analytically":[100],"calculate":[101],"amount":[103],"sharing":[108],"model.":[113],"then":[115],"numerically":[116],"study":[117],"effects":[118,218],"on":[121,131,190,221,225],"spreading":[123,144,173,193],"stochastic":[126],"susceptible-infectious-susceptible":[127],"susceptible-infectious-recovered":[129],"dynamics":[130,224],"proposed":[133,207],"models.":[136],"find":[138],"enhances":[142],"near":[145,200],"threshold,":[148,168],"this":[150],"effect":[151],"small":[153],"many":[155],"cases.":[156,178],"Furthermore,":[157],"when":[158],"infection":[160],"rate":[161],"substantially":[163],"larger":[164],"than":[165],"suppresses":[171],"majority":[176],"In":[179],"sum,":[180],"our":[181,195],"numerical":[182],"simulations":[183],"suggest":[184],"impact":[187],"enhancing":[191],"within":[194],"model":[196],"consistently":[198],"present":[199],"threshold":[203],"but":[204],"modest.":[205],"are":[211],"expected":[212],"useful":[215],"investigating":[217],"various":[222],"collective":[223],"networks":[226],"including":[227],"both":[228],"infectious":[229],"other":[231],"dynamics.":[232]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-10-19T00:00:00"}