{"id":"https://openalex.org/W2089125067","doi":"https://doi.org/10.1155/2014/764278","title":"Transmission Dynamics of a Two-City SIR Epidemic Model with Transport-Related Infections","display_name":"Transmission Dynamics of a Two-City SIR Epidemic Model with Transport-Related Infections","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2089125067","doi":"https://doi.org/10.1155/2014/764278","mag":"2089125067"},"language":"en","primary_location":{"id":"doi:10.1155/2014/764278","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/764278","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/764278.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/764278.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101701485","display_name":"Yao Chen","orcid":"https://orcid.org/0000-0002-9701-9052"},"institutions":[{"id":"https://openalex.org/I4210106563","display_name":"Hubei University for Nationalities","ror":"https://ror.org/01q349q17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210106563"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yao Chen","raw_affiliation_strings":["Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China","Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Enshi, Hubei 445000, China","Science and Technology College of Hubei University for Nationalities, Enshi, Hubei 445000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China","institution_ids":["https://openalex.org/I4210106563","https://openalex.org/I75900474"]},{"raw_affiliation_string":"Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Enshi, Hubei 445000, China","institution_ids":[]},{"raw_affiliation_string":"Science and Technology College of Hubei University for Nationalities, Enshi, Hubei 445000, China","institution_ids":["https://openalex.org/I4210106563","https://openalex.org/I75900474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102086031","display_name":"Mei Yan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210106563","display_name":"Hubei University for Nationalities","ror":"https://ror.org/01q349q17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210106563"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mei Yan","raw_affiliation_strings":["Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China","institution_ids":["https://openalex.org/I4210106563","https://openalex.org/I75900474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046896199","display_name":"Zhongyi Xiang","orcid":"https://orcid.org/0000-0003-4818-6783"},"institutions":[{"id":"https://openalex.org/I4210106563","display_name":"Hubei University for Nationalities","ror":"https://ror.org/01q349q17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210106563"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongyi Xiang","raw_affiliation_strings":["Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China","Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Enshi, Hubei 445000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China","institution_ids":["https://openalex.org/I4210106563","https://openalex.org/I75900474"]},{"raw_affiliation_string":"Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Enshi, Hubei 445000, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046896199"],"corresponding_institution_ids":["https://openalex.org/I4210106563","https://openalex.org/I75900474"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.3173,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.68818124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"12"},"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":0.9972000122070312,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9725000262260437,"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/algorithm","display_name":"Algorithm","score":0.5490187406539917},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.45920708775520325},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4072176218032837},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.24443644285202026}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5490187406539917},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.45920708775520325},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4072176218032837},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.24443644285202026}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/764278","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/764278","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/764278.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1395855293","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1395855293","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:764278","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/764278.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:4f0de2f74a154e5cb282b89222b15e91","is_oa":true,"landing_page_url":"https://doaj.org/article/4f0de2f74a154e5cb282b89222b15e91","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/764278","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/764278","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/764278.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.8299999833106995}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2089125067.pdf","grobid_xml":"https://content.openalex.org/works/W2089125067.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1507297091","https://openalex.org/W1968293561","https://openalex.org/W1973428801","https://openalex.org/W1980755026","https://openalex.org/W1982893329","https://openalex.org/W1991258950","https://openalex.org/W1993715324","https://openalex.org/W1996144618","https://openalex.org/W2008476367","https://openalex.org/W2008686523","https://openalex.org/W2027894632","https://openalex.org/W2049352128","https://openalex.org/W2061837139","https://openalex.org/W2080772590","https://openalex.org/W2101150297","https://openalex.org/W2136714512","https://openalex.org/W2141559918","https://openalex.org/W2148301044","https://openalex.org/W2350996383"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"A":[0],"two-city":[1],"SIR":[2,60],"epidemic":[3],"model":[4],"with":[5],"transport-related":[6],"infections":[7],"is":[8,32,42],"proposed.":[9],"Some":[10],"good":[11],"analytical":[12],"results":[13],"are":[14,66],"given":[15],"for":[16,68],"this":[17,59],"model.":[18,61],"If":[19],"the":[20,47,56,73],"basic":[21,48],"reproduction":[22,49],"number":[23,50],"\u211c0\u03b3\u22641":[24],",":[25],"there":[26],"exists":[27,37],"a":[28],"disease-free":[29],"equilibrium":[30,40],"which":[31,41],"globally":[33],"asymptotically":[34,44],"stable.":[35],"There":[36],"an":[38],"endemic":[39,74],"locally":[43],"stable":[45],"if":[46],"\u211c0\u03b3>1":[51],".":[52],"We":[53],"also":[54],"show":[55],"permanence":[57],"of":[58,72],"In":[62],"addition,":[63],"sufficient":[64],"conditions":[65],"established":[67],"global":[69],"asymptotic":[70],"stability":[71],"equilibrium.":[75]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}