{"id":"https://openalex.org/W4408907084","doi":"https://doi.org/10.1007/s12190-025-02453-9","title":"Dynamics and optimal control of an SIQR epidemic model with vaccination and individual feedback on networks","display_name":"Dynamics and optimal control of an SIQR epidemic model with vaccination and individual feedback on networks","publication_year":2025,"publication_date":"2025-03-25","ids":{"openalex":"https://openalex.org/W4408907084","doi":"https://doi.org/10.1007/s12190-025-02453-9"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02453-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02453-9","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","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/A5101008237","display_name":"Tingting Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingting Fu","raw_affiliation_strings":["School of Mathematics, North University of China, Taiyuan, Shanxi, 030051, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, North University of China, Taiyuan, Shanxi, 030051, P. R. China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053912626","display_name":"Si Li","orcid":"https://orcid.org/0000-0002-7738-4095"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Si Li","raw_affiliation_strings":["School of Mathematics, North University of China, Taiyuan, Shanxi, 030051, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, North University of China, Taiyuan, Shanxi, 030051, P. R. China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049411283","display_name":"Maoxing Liu","orcid":"https://orcid.org/0000-0002-3342-7209"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]},{"id":"https://openalex.org/I62853816","display_name":"Beijing University of Civil Engineering and Architecture","ror":"https://ror.org/02yj0p855","country_code":"CN","type":"education","lineage":["https://openalex.org/I62853816"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Maoxing Liu","raw_affiliation_strings":["School of Mathematics, North University of China, Taiyuan, Shanxi, 030051, P. R. China","School of Science, Beijing University of Civil Engineering and Architecture, Beijing, 102616, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-3342-7209","affiliations":[{"raw_affiliation_string":"School of Mathematics, North University of China, Taiyuan, Shanxi, 030051, P. R. China","institution_ids":["https://openalex.org/I135714990"]},{"raw_affiliation_string":"School of Science, Beijing University of Civil Engineering and Architecture, Beijing, 102616, P. R. China","institution_ids":["https://openalex.org/I62853816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049411283"],"corresponding_institution_ids":["https://openalex.org/I135714990","https://openalex.org/I62853816"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.2658,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.9078729,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"71","issue":"4","first_page":"5651","last_page":"5668"},"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":0.9993000030517578,"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":0.9993000030517578,"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":0.9987999796867371,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9847999811172485,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.6750463843345642},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6680439114570618},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6494524478912354},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.6266310214996338},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5665863156318665},{"id":"https://openalex.org/keywords/vaccination","display_name":"Vaccination","score":0.5317897796630859},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4776538610458374},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4673263132572174},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.40744438767433167},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3667813241481781},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.22650834918022156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20927250385284424},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.16607266664505005},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15628451108932495},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.13147860765457153},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11409270763397217},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0931970477104187}],"concepts":[{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6750463843345642},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6680439114570618},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6494524478912354},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.6266310214996338},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5665863156318665},{"id":"https://openalex.org/C22070199","wikidata":"https://www.wikidata.org/wiki/Q192995","display_name":"Vaccination","level":2,"score":0.5317897796630859},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4776538610458374},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4673263132572174},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.40744438767433167},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3667813241481781},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.22650834918022156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20927250385284424},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.16607266664505005},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15628451108932495},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.13147860765457153},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11409270763397217},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0931970477104187},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","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/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02453-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02453-9","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","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":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.6200000047683716}],"awards":[{"id":"https://openalex.org/G4221159618","display_name":null,"funder_award_id":"12071445","funder_id":"https://openalex.org/F4320315254","funder_display_name":"Innovative Research Group Project of the National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320315254","display_name":"Innovative Research Group Project of the National Natural Science Foundation of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1587799944","https://openalex.org/W1878853999","https://openalex.org/W1987610937","https://openalex.org/W2002220178","https://openalex.org/W2007346367","https://openalex.org/W2016448831","https://openalex.org/W2024844031","https://openalex.org/W2025801449","https://openalex.org/W2038195874","https://openalex.org/W2047486580","https://openalex.org/W2053293344","https://openalex.org/W2093517417","https://openalex.org/W2136714512","https://openalex.org/W2202958584","https://openalex.org/W2562909103","https://openalex.org/W2565334299","https://openalex.org/W2694204654","https://openalex.org/W2760612228","https://openalex.org/W2784446459","https://openalex.org/W2791129203","https://openalex.org/W2794257404","https://openalex.org/W2810597572","https://openalex.org/W2922828904","https://openalex.org/W2944782936","https://openalex.org/W2963734869","https://openalex.org/W2995138951","https://openalex.org/W3119021025","https://openalex.org/W4210582201","https://openalex.org/W4392373277","https://openalex.org/W4401284725","https://openalex.org/W4406377737","https://openalex.org/W6601357468"],"related_works":["https://openalex.org/W1979560439","https://openalex.org/W2766329113","https://openalex.org/W4225788835","https://openalex.org/W3204138838","https://openalex.org/W4390689692","https://openalex.org/W2032860538","https://openalex.org/W2001283893","https://openalex.org/W2069436786","https://openalex.org/W2053079725","https://openalex.org/W1990665359"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}