{"id":"https://openalex.org/W4410120141","doi":"https://doi.org/10.1007/s12190-025-02499-9","title":"Analysis and Hopf bifurcation of an SIHR epidemic model with multiple delays and optimal control","display_name":"Analysis and Hopf bifurcation of an SIHR epidemic model with multiple delays and optimal control","publication_year":2025,"publication_date":"2025-05-06","ids":{"openalex":"https://openalex.org/W4410120141","doi":"https://doi.org/10.1007/s12190-025-02499-9"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02499-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02499-9","pdf_url":null,"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"],"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/A5111185172","display_name":"Hina Ismail","orcid":"https://orcid.org/0009-0007-0637-8636"},"institutions":[{"id":"https://openalex.org/I4210109276","display_name":"National Institute of Technology Goa","ror":"https://ror.org/01vmfpj79","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210109276"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Halet Ismail","raw_affiliation_strings":["Department of Applied Sciences, National Institute of Technology Goa, Goa, 403 703, India"],"affiliations":[{"raw_affiliation_string":"Department of Applied Sciences, National Institute of Technology Goa, Goa, 403 703, India","institution_ids":["https://openalex.org/I4210109276"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068299125","display_name":"L. Shangerganesh","orcid":"https://orcid.org/0000-0001-8565-2005"},"institutions":[{"id":"https://openalex.org/I4210109276","display_name":"National Institute of Technology Goa","ror":"https://ror.org/01vmfpj79","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210109276"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shangerganesh Lingeshwaran","raw_affiliation_strings":["Department of Applied Sciences, National Institute of Technology Goa, Goa, 403 703, India"],"affiliations":[{"raw_affiliation_string":"Department of Applied Sciences, National Institute of Technology Goa, Goa, 403 703, India","institution_ids":["https://openalex.org/I4210109276"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072006664","display_name":"Fathalla A. Rihan","orcid":"https://orcid.org/0000-0003-3855-5944"},"institutions":[{"id":"https://openalex.org/I201726411","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862","country_code":"AE","type":"education","lineage":["https://openalex.org/I201726411"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Fathalla A. Rihan","raw_affiliation_strings":["Department of Mathematical Sciences, College of Science, UAE University, Al-Ain, 15551, UAE"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, UAE University, Al-Ain, 15551, UAE","institution_ids":["https://openalex.org/I201726411"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111185172"],"corresponding_institution_ids":["https://openalex.org/I4210109276"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13713997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"S1","first_page":"789","last_page":"830"},"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":0.9995999932289124,"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":0.9995999932289124,"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":0.98089998960495,"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/mathematics","display_name":"Mathematics","score":0.8489378690719604},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7662454843521118},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.5541884303092957},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5433507561683655},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5259421467781067},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4999868869781494},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4882633686065674},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.459652841091156},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.43761178851127625},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3789038360118866},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.35755088925361633},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34201502799987793},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32527899742126465},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13288867473602295},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11269634962081909},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.09783932566642761},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09425315260887146},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06846445798873901}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8489378690719604},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7662454843521118},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.5541884303092957},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5433507561683655},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5259421467781067},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4999868869781494},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4882633686065674},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.459652841091156},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.43761178851127625},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3789038360118866},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.35755088925361633},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34201502799987793},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32527899742126465},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13288867473602295},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11269634962081909},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.09783932566642761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09425315260887146},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06846445798873901},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"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},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02499-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02499-9","pdf_url":null,"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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.6800000071525574,"display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1531715726","https://openalex.org/W1586658033","https://openalex.org/W2018064203","https://openalex.org/W2420497118","https://openalex.org/W2738174617","https://openalex.org/W2779581961","https://openalex.org/W2793166530","https://openalex.org/W2796066595","https://openalex.org/W2899850304","https://openalex.org/W2979360580","https://openalex.org/W2981689300","https://openalex.org/W3082688742","https://openalex.org/W3090876073","https://openalex.org/W3120749037","https://openalex.org/W3155581831","https://openalex.org/W3163628577","https://openalex.org/W3175341259","https://openalex.org/W3195480719","https://openalex.org/W3205993424","https://openalex.org/W4200290398","https://openalex.org/W4206710187","https://openalex.org/W4291520301","https://openalex.org/W4380792462","https://openalex.org/W4387497920","https://openalex.org/W4390146404","https://openalex.org/W4395699784","https://openalex.org/W4396943639","https://openalex.org/W4403609202","https://openalex.org/W4405390044"],"related_works":["https://openalex.org/W2543553286","https://openalex.org/W2255858401","https://openalex.org/W2012700469","https://openalex.org/W2382323441","https://openalex.org/W2393929457","https://openalex.org/W2071499571","https://openalex.org/W2353805507","https://openalex.org/W1584629339","https://openalex.org/W2090584918","https://openalex.org/W2342467592"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}