{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T10:06:52Z","timestamp":1744193212077},"reference-count":19,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province","award":["PKLHB1302","2012GDA01309"],"award-info":[{"award-number":["PKLHB1302","2012GDA01309"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>A two-city SIR epidemic model with transport-related infections is proposed. Some good analytical results are given for this model. If the basic reproduction number<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:msub><mml:mrow><mml:mi>\u211c<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><mml:mi>\u03b3<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mo>\u2264<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:math>, there exists a disease-free equilibrium which is globally asymptotically stable. There exists an endemic equilibrium which is locally asymptotically stable if the basic reproduction number<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:msub><mml:mrow><mml:mi>\u211c<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><mml:mi>\u03b3<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mo>&gt;<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:math>. We also show the permanence of this SIR model. In addition, sufficient conditions are established for global asymptotic stability of the endemic equilibrium.<\/jats:p>","DOI":"10.1155\/2014\/764278","type":"journal-article","created":{"date-parts":[[2014,1,23]],"date-time":"2014-01-23T17:42:06Z","timestamp":1390498926000},"page":"1-12","source":"Crossref","is-referenced-by-count":10,"title":["Transmission Dynamics of a Two-City SIR Epidemic Model with Transport-Related Infections"],"prefix":"10.1155","volume":"2014","author":[{"given":"Yao","family":"Chen","sequence":"first","affiliation":[{"name":"Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Enshi, Hubei 445000, China"},{"name":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China"},{"name":"Science and Technology College of Hubei University for Nationalities, Enshi, Hubei 445000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mei","family":"Yan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhongyi","family":"Xiang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Enshi, Hubei 445000, China"},{"name":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"issue":"772","key":"1","doi-asserted-by":"crossref","first-page":"700","DOI":"10.1098\/rspa.1927.0118","volume":"115","year":"1927","journal-title":"Proceedings of the Royal Society A"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2008.04.017"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2012.03.007"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.01.018"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2012.06.008"},{"issue":"3","key":"6","first-page":"466","volume":"33","year":"2010","journal-title":"Acta Mathematicae Applicatae Sinica"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/275902"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2003.11.014"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/342472"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(94)00068-B"},{"issue":"1","key":"11","first-page":"91","volume":"70","year":"1998","journal-title":"Human Biology"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(03)00428-1"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2002.11.001"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139903431245"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1137\/060672522"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.09.024"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1155\/JAM.2005.301"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2005.09.002"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2005.08.005"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/764278.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/764278.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/764278.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T02:33:55Z","timestamp":1498098835000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/764278\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":19,"alternative-id":["764278","764278"],"URL":"https:\/\/doi.org\/10.1155\/2014\/764278","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}