{"id":"https://openalex.org/W3101550924","doi":"https://doi.org/10.1137/20m1342690","title":"Controlling Propagation of Epidemics via Mean-Field Control","display_name":"Controlling Propagation of Epidemics via Mean-Field Control","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3101550924","doi":"https://doi.org/10.1137/20m1342690","mag":"3101550924"},"language":"en","primary_location":{"id":"doi:10.1137/20m1342690","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1342690","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1342690","source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1342690","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100602703","display_name":"Wonjun Lee","orcid":"https://orcid.org/0000-0003-1280-7533"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wonjun Lee","raw_affiliation_strings":["University of California at Los Angeles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005839811","display_name":"Siting Liu","orcid":"https://orcid.org/0000-0003-0505-8183"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Siting Liu","raw_affiliation_strings":["University of California at Los Angeles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073493112","display_name":"Hamidou Tembin\u00e9","orcid":"https://orcid.org/0000-0002-1604-8223"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hamidou Tembine","raw_affiliation_strings":["Electrical Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043410025","display_name":"Wuchen Li","orcid":"https://orcid.org/0000-0002-2218-5734"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wuchen Li","raw_affiliation_strings":["UNIVERSITY OF SOUTH CAROLINA"],"raw_orcid":"https://orcid.org/0000-0002-2218-5734","affiliations":[{"raw_affiliation_string":"UNIVERSITY OF SOUTH CAROLINA","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002037883","display_name":"Stanley Osher","orcid":"https://orcid.org/0000-0002-7900-4658"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stanley Osher","raw_affiliation_strings":["University of California at Los Angeles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3681,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80369639,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"81","issue":"1","first_page":"190","last_page":"207"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/coronavirus-disease-2019","display_name":"Coronavirus disease 2019 (COVID-19)","score":0.6419597864151001},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5927366018295288},{"id":"https://openalex.org/keywords/pandemic","display_name":"Pandemic","score":0.5867672562599182},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5315969586372375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5009469985961914},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.48857030272483826},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4446902871131897},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.4247521758079529},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3486473262310028},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3291608989238739},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2714468836784363},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.2613025903701782},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.17211368680000305},{"id":"https://openalex.org/keywords/disease","display_name":"Disease","score":0.16435778141021729},{"id":"https://openalex.org/keywords/infectious-disease","display_name":"Infectious disease (medical specialty)","score":0.13351210951805115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12641841173171997},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.11986187100410461}],"concepts":[{"id":"https://openalex.org/C3008058167","wikidata":"https://www.wikidata.org/wiki/Q84263196","display_name":"Coronavirus disease 2019 (COVID-19)","level":4,"score":0.6419597864151001},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5927366018295288},{"id":"https://openalex.org/C89623803","wikidata":"https://www.wikidata.org/wiki/Q12184","display_name":"Pandemic","level":5,"score":0.5867672562599182},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5315969586372375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5009469985961914},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.48857030272483826},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4446902871131897},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.4247521758079529},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3486473262310028},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3291608989238739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2714468836784363},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.2613025903701782},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.17211368680000305},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.16435778141021729},{"id":"https://openalex.org/C524204448","wikidata":"https://www.wikidata.org/wiki/Q788926","display_name":"Infectious disease (medical specialty)","level":3,"score":0.13351210951805115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12641841173171997},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.11986187100410461},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","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/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/20m1342690","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1342690","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1342690","source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2006.01249","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.01249","pdf_url":"https://arxiv.org/pdf/2006.01249","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2006.01249","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2006.01249","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"mag:3101550924","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.1137/20m1342690","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1342690","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1342690","source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8799999952316284,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G7187104357","display_name":null,"funder_award_id":"FA9550-18-1-0502","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1977428457","https://openalex.org/W1981652491","https://openalex.org/W1987611967","https://openalex.org/W1992326878","https://openalex.org/W1997001104","https://openalex.org/W2008462649","https://openalex.org/W2011000015","https://openalex.org/W2011125691","https://openalex.org/W2026112886","https://openalex.org/W2028316825","https://openalex.org/W2032323564","https://openalex.org/W2038686546","https://openalex.org/W2041533330","https://openalex.org/W2057470999","https://openalex.org/W2075099603","https://openalex.org/W2092663520","https://openalex.org/W2123146480","https://openalex.org/W2148301044","https://openalex.org/W2159826827","https://openalex.org/W2170131286","https://openalex.org/W2241435520","https://openalex.org/W2322577153","https://openalex.org/W2512076157","https://openalex.org/W2528918298","https://openalex.org/W2593505765","https://openalex.org/W2783114193","https://openalex.org/W2803948882","https://openalex.org/W2810597572","https://openalex.org/W2811004130","https://openalex.org/W2962713568","https://openalex.org/W2963309180","https://openalex.org/W2963367966","https://openalex.org/W2967370385","https://openalex.org/W3007639617","https://openalex.org/W3015438442","https://openalex.org/W3016115703","https://openalex.org/W3020570463","https://openalex.org/W3023683300","https://openalex.org/W3100915639","https://openalex.org/W3103322710","https://openalex.org/W3111921901"],"related_works":["https://openalex.org/W3033537373","https://openalex.org/W2189082024","https://openalex.org/W2034903570","https://openalex.org/W3157525872","https://openalex.org/W1602376529","https://openalex.org/W3197174634","https://openalex.org/W2163242592","https://openalex.org/W2364282950","https://openalex.org/W2741233610","https://openalex.org/W2169397725","https://openalex.org/W2123953463","https://openalex.org/W2520023571","https://openalex.org/W2788370029","https://openalex.org/W2781540556","https://openalex.org/W1501776248","https://openalex.org/W2512123209","https://openalex.org/W3106694785","https://openalex.org/W2617989549","https://openalex.org/W3109532674","https://openalex.org/W2209889186"],"abstract_inverted_index":{"The":[0,34],"coronavirus":[1],"disease":[2,46],"2019":[3],"(COVID-19)":[4],"pandemic":[5],"is":[6,40],"changing":[7],"and":[8],"impacting":[9],"lives":[10],"on":[11,30,63],"a":[12,20,31,81],"global":[13],"scale.":[14],"In":[15],"this":[16,54],"paper,":[17],"we":[18,57],"introduce":[19],"mean-field":[21],"game":[22],"model":[23,73],"in":[24,80],"controlling":[25],"the":[26,37,44,50,71],"propagation":[27],"of":[28],"epidemics":[29],"spatial":[32,38,82],"domain.":[33],"control":[35],"variable,":[36],"velocity,":[39],"first":[41],"introduced":[42],"for":[43],"classical":[45],"models,":[47],"such":[48],"as":[49],"SIR":[51],"model.":[52],"For":[53],"proposed":[55,72],"model,":[56],"provide":[58],"fast":[59],"numerical":[60],"algorithms":[61],"based":[62],"proximal":[64],"primal-dual":[65],"methods.":[66],"Numerical":[67],"experiments":[68],"demonstrate":[69],"that":[70],"illustrates":[74],"how":[75],"to":[76],"separate":[77],"infected":[78],"patients":[79],"domain":[83],"effectively.":[84]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2026-07-01T08:55:40.977307","created_date":"2025-10-10T00:00:00"}