{"id":"https://openalex.org/W2529749866","doi":"https://doi.org/10.1109/cca.2016.7587981","title":"Optimal control for a SIR epidemiological model with time-varying populations","display_name":"Optimal control for a SIR epidemiological model with time-varying populations","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2529749866","doi":"https://doi.org/10.1109/cca.2016.7587981","mag":"2529749866"},"language":"en","primary_location":{"id":"doi:10.1109/cca.2016.7587981","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2016.7587981","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Conference on Control Applications (CCA)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107593610","display_name":"Urszula Ledzewicz","orcid":"https://orcid.org/0000-0002-6447-1958"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Urszula Ledzewicz","raw_affiliation_strings":["Dept. of Mathematics and Statistics, Lodz University of Technology, Lodz, IL, Poland"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics and Statistics, Lodz University of Technology, Lodz, IL, Poland","institution_ids":["https://openalex.org/I188884621"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037561358","display_name":"Mahya Aghaee","orcid":"https://orcid.org/0000-0001-9635-7298"},"institutions":[{"id":"https://openalex.org/I87547150","display_name":"Southern Illinois University Edwardsville","ror":"https://ror.org/04cqs5j56","country_code":"US","type":"education","lineage":["https://openalex.org/I2801502357","https://openalex.org/I87547150"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mahya Aghaee","raw_affiliation_strings":["Dept. of Mathematics and Statistics, Southern Illinois University, Edwardsville, IL, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics and Statistics, Southern Illinois University, Edwardsville, IL, USA","institution_ids":["https://openalex.org/I87547150"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059864280","display_name":"Heinz Sch\u00e4ttler","orcid":null},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Heinz Schattler","raw_affiliation_strings":["Dept. of Electr. and Systems Engr., Washington University, St. Louis, MO, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electr. and Systems Engr., Washington University, St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5107593610"],"corresponding_institution_ids":["https://openalex.org/I188884621"],"apc_list":null,"apc_paid":null,"fwci":1.1493,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.83274371,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1268","last_page":"1273"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9990000128746033,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9639000296592712,"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/optimal-control","display_name":"Optimal control","score":0.7246437072753906},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.5916755199432373},{"id":"https://openalex.org/keywords/vaccination","display_name":"Vaccination","score":0.5486546158790588},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5318101644515991},{"id":"https://openalex.org/keywords/disease","display_name":"Disease","score":0.5007057189941406},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4756692945957184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.455130010843277},{"id":"https://openalex.org/keywords/bang\u2013bang-control","display_name":"Bang\u2013bang control","score":0.43717503547668457},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.42647719383239746},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39273321628570557},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.2842458486557007},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28284746408462524},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12457376718521118},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.09676095843315125},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.0809389054775238}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7246437072753906},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.5916755199432373},{"id":"https://openalex.org/C22070199","wikidata":"https://www.wikidata.org/wiki/Q192995","display_name":"Vaccination","level":2,"score":0.5486546158790588},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5318101644515991},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.5007057189941406},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4756692945957184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.455130010843277},{"id":"https://openalex.org/C175287345","wikidata":"https://www.wikidata.org/wiki/Q1432859","display_name":"Bang\u2013bang control","level":3,"score":0.43717503547668457},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.42647719383239746},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39273321628570557},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.2842458486557007},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28284746408462524},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12457376718521118},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.09676095843315125},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0809389054775238},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cca.2016.7587981","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2016.7587981","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Conference on Control Applications (CCA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W598851308","https://openalex.org/W640023950","https://openalex.org/W1567262822","https://openalex.org/W1587799944","https://openalex.org/W2002944058","https://openalex.org/W2038905266","https://openalex.org/W2071850519","https://openalex.org/W2161728228","https://openalex.org/W2331110047","https://openalex.org/W2480459371","https://openalex.org/W2531519838","https://openalex.org/W3207782042","https://openalex.org/W4296154082","https://openalex.org/W4302609762"],"related_works":["https://openalex.org/W4387757851","https://openalex.org/W2046161699","https://openalex.org/W2963467375","https://openalex.org/W2464937352","https://openalex.org/W2489250209","https://openalex.org/W2043909370","https://openalex.org/W2020376210","https://openalex.org/W2089442804","https://openalex.org/W2354293526","https://openalex.org/W2138713378"],"abstract_inverted_index":{"For":[0],"a":[1,12,53],"SIR":[2],"model":[3],"with":[4],"time-varying":[5],"population":[6],"that":[7,34],"accounts":[8],"for":[9],"deaths":[10],"from":[11],"disease,":[13],"the":[14,20,23,42],"optimal":[15,45,49],"control":[16],"problem":[17],"to":[18],"limit":[19],"spread":[21],"of":[22,44,56],"disease":[24],"through":[25],"vaccination":[26,46],"and":[27],"treatment":[28,50],"is":[29,32],"studied.":[30],"It":[31],"shown":[33],"singular":[35],"controls":[36],"play":[37],"an":[38],"important":[39],"role":[40],"in":[41],"structure":[43,55],"schedules":[47,51],"whereas":[48],"follow":[52],"bang-bang":[54],"on-off":[57],"strategies.":[58]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
