{"id":"https://openalex.org/W3043458211","doi":"https://doi.org/10.1007/s12190-020-01392-x","title":"A novel control set-valued approach with application to epidemic models","display_name":"A novel control set-valued approach with application to epidemic models","publication_year":2020,"publication_date":"2020-07-13","ids":{"openalex":"https://openalex.org/W3043458211","doi":"https://doi.org/10.1007/s12190-020-01392-x","mag":"3043458211","pmid":"https://pubmed.ncbi.nlm.nih.gov/32837465"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-020-01392-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-020-01392-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-020-01392-x.pdf","source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s12190-020-01392-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042011090","display_name":"Lahoucine Boujallal","orcid":"https://orcid.org/0000-0002-0716-4492"},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Lahoucine Boujallal","raw_affiliation_strings":["Department of Mathematics, Hassan II University, P.O. Box 5366, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hassan II University, P.O. Box 5366, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091588839","display_name":"Mohamed Elhia","orcid":"https://orcid.org/0000-0002-4004-2411"},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Mohamed Elhia","raw_affiliation_strings":["MAEGE Laboratory, Hassan II University, Casablanca, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-4004-2411","affiliations":[{"raw_affiliation_string":"MAEGE Laboratory, Hassan II University, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047123496","display_name":"Omar Balatif","orcid":"https://orcid.org/0000-0003-1887-5350"},"institutions":[{"id":"https://openalex.org/I4210125507","display_name":"Chouaib Doukkali University","ror":"https://ror.org/036kgyt43","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210125507"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Omar Balatif","raw_affiliation_strings":["Dynamical Systems Laboratory, Mathematical Engineering Team, Chouaib Doukkali University, El Jadida, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dynamical Systems Laboratory, Mathematical Engineering Team, Chouaib Doukkali University, El Jadida, Morocco","institution_ids":["https://openalex.org/I4210125507"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091588839"],"corresponding_institution_ids":["https://openalex.org/I99297268"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.6179,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85022827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"65","issue":"1-2","first_page":"295","last_page":"319"},"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":0.9957000017166138,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9776999950408936,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7616499662399292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6401291489601135},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.626960277557373},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5743257403373718},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5584826469421387},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.5516855120658875},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.47210732102394104},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47064298391342163},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.46697521209716797},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4100305438041687},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3808066248893738},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3492177724838257},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.30829739570617676},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1857675313949585},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11956474184989929}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7616499662399292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6401291489601135},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.626960277557373},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5743257403373718},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5584826469421387},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.5516855120658875},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.47210732102394104},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47064298391342163},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.46697521209716797},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4100305438041687},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3808066248893738},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3492177724838257},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.30829739570617676},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1857675313949585},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11956474184989929},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s12190-020-01392-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-020-01392-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-020-01392-x.pdf","source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},{"id":"pmid:32837465","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32837465","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of applied mathematics & computing","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:7355539","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7355539","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"J Appl Math Comput","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s12190-020-01392-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-020-01392-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-020-01392-x.pdf","source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.8600000143051147}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3043458211.pdf","grobid_xml":"https://content.openalex.org/works/W3043458211.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W584400962","https://openalex.org/W936483719","https://openalex.org/W1494567509","https://openalex.org/W1587799944","https://openalex.org/W1966697987","https://openalex.org/W2001509918","https://openalex.org/W2045456375","https://openalex.org/W2060065761","https://openalex.org/W2095220008","https://openalex.org/W2152433094","https://openalex.org/W2161728228","https://openalex.org/W2166022262","https://openalex.org/W2228195434","https://openalex.org/W2294218275","https://openalex.org/W2299643570","https://openalex.org/W2300493481","https://openalex.org/W2511395861","https://openalex.org/W2521259091","https://openalex.org/W2565334299","https://openalex.org/W2583580911","https://openalex.org/W2612952478","https://openalex.org/W2755802244","https://openalex.org/W2770610631","https://openalex.org/W2803225749","https://openalex.org/W2889501980","https://openalex.org/W2944345231","https://openalex.org/W2947456781","https://openalex.org/W2963680003","https://openalex.org/W2981032436","https://openalex.org/W2982303426","https://openalex.org/W4241226388","https://openalex.org/W4241586728","https://openalex.org/W4245376853","https://openalex.org/W4251507077","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2152564765","https://openalex.org/W2272764807","https://openalex.org/W1969702143","https://openalex.org/W4205608640","https://openalex.org/W2529877681","https://openalex.org/W2083755456","https://openalex.org/W263867415","https://openalex.org/W3195354540","https://openalex.org/W2166470660","https://openalex.org/W4388738562"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}