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Firstly, the dynamical behaviors of the model without vaccination are studied. Using the Jacobian matrix, the stability of the equilibrium points of the system without vaccination is analyzed. The basic reproduction number<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>R<\/mml:mi><\/mml:mrow><\/mml:math>is got. In order to study the important role of vaccination to prevent diseases, the model with distributed delay under impulsive vaccination is formulated. And the sufficient conditions of globally asymptotic stability of \u201cinfection-free\u201d periodic solution and the permanence of the model are obtained by using Floquet\u2019s theorem, small-amplitude perturbation skills, and comparison theorem. Lastly, numerical simulation is presented to illustrate our main conclusions that vaccination has significant effects on the dynamical behaviors of the model. The results can provide effective tactic basis for the practical infectious disease prevention.<\/jats:p>","DOI":"10.1155\/2013\/154387","type":"journal-article","created":{"date-parts":[[2013,7,22]],"date-time":"2013-07-22T21:02:39Z","timestamp":1374526959000},"page":"1-15","source":"Crossref","is-referenced-by-count":12,"title":["Dynamical Analysis of SIR Epidemic Models with Distributed Delay"],"prefix":"10.1155","volume":"2013","author":[{"given":"Wencai","family":"Zhao","sequence":"first","affiliation":[{"name":"College of Science, Shandong University of Science and Technology, Qingdao 266590, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tongqian","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Science, Shandong University of Science and Technology, Qingdao 266590, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhengbo","family":"Chang","sequence":"additional","affiliation":[{"name":"College of Science, 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