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We establish some sufficient conditions on the permanence and extinction of the disease by using inequality analytical techniques. By a Lyapunov functional method, we also obtain some sufficient conditions for global asymptotic stability of this model. A numerical analysis is given to explain the analytical findings.<\/jats:p>","DOI":"10.1155\/2014\/139046","type":"journal-article","created":{"date-parts":[[2014,5,8]],"date-time":"2014-05-08T17:09:51Z","timestamp":1399568991000},"page":"1-15","source":"Crossref","is-referenced-by-count":2,"title":["Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay"],"prefix":"10.1155","volume":"2014","author":[{"given":"Xiaohong","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianwen","family":"Jia","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinyu","family":"Song","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Xinyang Normal University, Xinyang, Henan 464000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.04.004"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2011.11.016"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.09.028"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.12.084"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2009.09.005"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1053\/j.spid.2004.05.009"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-4758(99)01396-4"},{"key":"14","doi-asserted-by":"crossref","first-page":"1288","DOI":"10.1016\/j.cnsns.2012.09.007","volume":"18","year":"2013","journal-title":"Communications in Nonlinear Science and Numerical Simulation"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1137\/080744438"},{"key":"7","doi-asserted-by":"crossref","first-page":"931","DOI":"10.1007\/s11538-009-9477-8","volume":"72","year":"2010","journal-title":"Bulletin of Mathematical Biology"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2009.08.027"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2009.09.012"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-008-9111-8"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2010.07.006"},{"key":"5","year":"2004"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2007.12.020"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2010.09.010"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/139046.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/139046.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/139046.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T08:54:23Z","timestamp":1498121663000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/139046\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":17,"alternative-id":["139046","139046"],"URL":"https:\/\/doi.org\/10.1155\/2014\/139046","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}