{"id":"https://openalex.org/W52343896","doi":"https://doi.org/10.1007/978-3-642-22833-9_54","title":"Stability of a Two Epidemics Model","display_name":"Stability of a Two Epidemics Model","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W52343896","doi":"https://doi.org/10.1007/978-3-642-22833-9_54","mag":"52343896"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-22833-9_54","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22833-9_54","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent and Soft Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5065950488","display_name":"Thongchai Dumrongpokaphan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210117768","display_name":"Centre of Excellence in Mathematics","ror":"https://ror.org/02df7gw66","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210117768"]},{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"T. Dumrongpokaphan","raw_affiliation_strings":["Centre of Excellence in Mathematics, CHE, Si Ayuttaya road, Bangkok, 10400, Thailand","Department of Mathematics, Chiang Mai University, Chiang Mai, 50200, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre of Excellence in Mathematics, CHE, Si Ayuttaya road, Bangkok, 10400, Thailand","institution_ids":["https://openalex.org/I4210117768"]},{"raw_affiliation_string":"Department of Mathematics, Chiang Mai University, Chiang Mai, 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035096618","display_name":"W. Jaihonglam","orcid":null},"institutions":[{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"W. Jaihonglam","raw_affiliation_strings":["Department of Mathematics, Chiang Mai University, Chiang Mai, 50200, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Chiang Mai University, Chiang Mai, 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068007852","display_name":"Rujira Ouncharoen","orcid":"https://orcid.org/0000-0002-6275-628X"},"institutions":[{"id":"https://openalex.org/I4210117768","display_name":"Centre of Excellence in Mathematics","ror":"https://ror.org/02df7gw66","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210117768"]},{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"R. Ouncharoen","raw_affiliation_strings":["Centre of Excellence in Mathematics, CHE, Si Ayuttaya road, Bangkok, 10400, Thailand","Department of Mathematics, Chiang Mai University, Chiang Mai, 50200, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre of Excellence in Mathematics, CHE, Si Ayuttaya road, Bangkok, 10400, Thailand","institution_ids":["https://openalex.org/I4210117768"]},{"raw_affiliation_string":"Department of Mathematics, Chiang Mai University, Chiang Mai, 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02097902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"443","last_page":"451"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9918000102043152,"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/stability-theory","display_name":"Stability theory","score":0.8377748727798462},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6363696455955505},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5504145622253418},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.506412148475647},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.43150559067726135},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.33847376704216003},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2440950870513916},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.1526266634464264},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12934130430221558},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.08711743354797363},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.04073670506477356},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.037124812602996826}],"concepts":[{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.8377748727798462},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6363696455955505},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5504145622253418},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.506412148475647},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.43150559067726135},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.33847376704216003},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2440950870513916},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.1526266634464264},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12934130430221558},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.08711743354797363},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.04073670506477356},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.037124812602996826},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-22833-9_54","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22833-9_54","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent and Soft Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.8100000023841858,"display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1508316952","https://openalex.org/W1537945022","https://openalex.org/W1549251788","https://openalex.org/W1970025637","https://openalex.org/W1997498552","https://openalex.org/W1997951831","https://openalex.org/W2028378134","https://openalex.org/W2049978891","https://openalex.org/W2054353417","https://openalex.org/W2069834284","https://openalex.org/W2072799635","https://openalex.org/W2084439805","https://openalex.org/W2148301044","https://openalex.org/W2161728228","https://openalex.org/W2321919917","https://openalex.org/W2895207104","https://openalex.org/W4250149513"],"related_works":["https://openalex.org/W2291447000","https://openalex.org/W2918134800","https://openalex.org/W4320351350","https://openalex.org/W3116857973","https://openalex.org/W2390142184","https://openalex.org/W1505484396","https://openalex.org/W2387399144","https://openalex.org/W2374745053","https://openalex.org/W2051622558","https://openalex.org/W2394257129"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}