{"id":"https://openalex.org/W3126231029","doi":"https://doi.org/10.1007/s12190-020-01487-5","title":"An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model","display_name":"An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model","publication_year":2021,"publication_date":"2021-02-08","ids":{"openalex":"https://openalex.org/W3126231029","doi":"https://doi.org/10.1007/s12190-020-01487-5","mag":"3126231029","pmid":"https://pubmed.ncbi.nlm.nih.gov/33584162"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-020-01487-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-020-01487-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-020-01487-5.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/s12190-020-01487-5.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100351281","display_name":"Xingyu Wang","orcid":"https://orcid.org/0009-0006-0047-2499"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xingyu Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 People's Republic of China","School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 People's Republic of China","institution_ids":["https://openalex.org/I145897649"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, People's Republic of China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101546579","display_name":"Zhijun Liu","orcid":"https://orcid.org/0000-0002-0413-5418"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhijun Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 People's Republic of China","School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 People's Republic of China","institution_ids":["https://openalex.org/I145897649"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, People's Republic of China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101795941","display_name":"Lianwen Wang","orcid":"https://orcid.org/0000-0002-9914-9627"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lianwen Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 People's Republic of China","School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 People's Republic of China","institution_ids":["https://openalex.org/I145897649"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, People's Republic of China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078337913","display_name":"Caihong Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119183","display_name":"The Central Hospital of Enshi Tujia and Miao Autonomous Prefecture","ror":"https://ror.org/01s12ye51","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210119183"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Caihong Guo","raw_affiliation_strings":["Enshi Special Care Hospital, Enshi, 445000 People's Republic of China","Enshi Special Care Hospital, Enshi, 445000, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Enshi Special Care Hospital, Enshi, 445000 People's Republic of China","institution_ids":["https://openalex.org/I4210119183"]},{"raw_affiliation_string":"Enshi Special Care Hospital, Enshi, 445000, People's Republic of China","institution_ids":["https://openalex.org/I4210119183"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030204812","display_name":"Huili Xiang","orcid":"https://orcid.org/0000-0003-3713-0813"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huili Xiang","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 People's Republic of China","School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 People's Republic of China","institution_ids":["https://openalex.org/I145897649"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, People's Republic of China","institution_ids":["https://openalex.org/I145897649"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100351281"],"corresponding_institution_ids":["https://openalex.org/I145897649"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3744,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.80473396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"67","issue":"1-2","first_page":"707","last_page":"730"},"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":0.9936000108718872,"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/T12047","display_name":"Viral Infections and Vectors","score":0.960099995136261,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6983461380004883},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6646270155906677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6052759885787964},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.5299110412597656},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5139107704162598},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47338953614234924},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.402881383895874},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36866915225982666},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33703091740608215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28353917598724365},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.26356106996536255},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.1893678903579712},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09884452819824219},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07681623101234436}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6983461380004883},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6646270155906677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6052759885787964},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.5299110412597656},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5139107704162598},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47338953614234924},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.402881383895874},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36866915225982666},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33703091740608215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28353917598724365},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.26356106996536255},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.1893678903579712},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09884452819824219},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07681623101234436},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/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/s12190-020-01487-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-020-01487-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-020-01487-5.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:33584162","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33584162","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:7869433","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7869433","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"J Appl Math Comput","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s12190-020-01487-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-020-01487-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-020-01487-5.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","score":0.8600000143051147,"id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G1240329366","display_name":null,"funder_award_id":"2019CFB241","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"},{"id":"https://openalex.org/G1512788161","display_name":null,"funder_award_id":"2019CFB773","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5580533064","display_name":null,"funder_award_id":"CFB241","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7346218018","display_name":null,"funder_award_id":"11871","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7383197837","display_name":null,"funder_award_id":"1196102","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7541131134","display_name":null,"funder_award_id":"11961023","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8556957182","display_name":null,"funder_award_id":"11871201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322186","display_name":"Natural Science Foundation of Hubei Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3126231029.pdf","grobid_xml":"https://content.openalex.org/works/W3126231029.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W1198550170","https://openalex.org/W1567262822","https://openalex.org/W1596026070","https://openalex.org/W1606697907","https://openalex.org/W1964072537","https://openalex.org/W1967774090","https://openalex.org/W1972071349","https://openalex.org/W1979797123","https://openalex.org/W1982075903","https://openalex.org/W1991038590","https://openalex.org/W1997135315","https://openalex.org/W2001496536","https://openalex.org/W2010128190","https://openalex.org/W2010541536","https://openalex.org/W2024844031","https://openalex.org/W2027813926","https://openalex.org/W2043894577","https://openalex.org/W2047854622","https://openalex.org/W2047865461","https://openalex.org/W2054181252","https://openalex.org/W2054353417","https://openalex.org/W2061803905","https://openalex.org/W2062710466","https://openalex.org/W2071966334","https://openalex.org/W2075489080","https://openalex.org/W2083449041","https://openalex.org/W2093465368","https://openalex.org/W2095038531","https://openalex.org/W2097454481","https://openalex.org/W2112680994","https://openalex.org/W2125307802","https://openalex.org/W2128482172","https://openalex.org/W2217328210","https://openalex.org/W2305123960","https://openalex.org/W2501548935","https://openalex.org/W2573467989","https://openalex.org/W2581725347","https://openalex.org/W2592111873","https://openalex.org/W2619663113","https://openalex.org/W2738174617","https://openalex.org/W2766132322","https://openalex.org/W2772367033","https://openalex.org/W2792388475","https://openalex.org/W2810879208","https://openalex.org/W2902354667","https://openalex.org/W2922412282","https://openalex.org/W2956761715","https://openalex.org/W2968038430","https://openalex.org/W2999058897","https://openalex.org/W3031329367","https://openalex.org/W3031885663","https://openalex.org/W3034978935","https://openalex.org/W3037744992","https://openalex.org/W3206777520","https://openalex.org/W4210417410","https://openalex.org/W4296154082","https://openalex.org/W4302609762","https://openalex.org/W4388299012"],"related_works":["https://openalex.org/W2147581087","https://openalex.org/W4250775169","https://openalex.org/W2291447000","https://openalex.org/W2154204858","https://openalex.org/W4309231192","https://openalex.org/W2064563243","https://openalex.org/W3209622820","https://openalex.org/W3165104833","https://openalex.org/W2051622558","https://openalex.org/W2374745053"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}