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《Pure and Applied Mathematics》 2008-02
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The global stability of a nonlinear high dimensional SEIR epidemic model of two competitive species

XU Wen-xiong~1 ZHANG Tai-lei~2 XU Zong-ben~1 1.School of Science,Xi'an Jiaotong University,Xi'an 710049,China; 2.College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China  
Dynamic property about a nonlinear dimensional SEIR epidemic model of two competitive species isstudied.By using some methods,including Lasalle invariant set principle,Lyapunov function,Routh-Hurwitz criterion and Krasnoselskii technique etc.,some threshold conditions are identified for the global stabilities of bounded equilibria and the local stability of positive equilibrium.
【Fund】: 国家自然科学基金重点项目(10531030);; 国家“十五”医学科技攻关项目(2004BA719A01)
【CateGory Index】: O175
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