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《Mathematics in Practice and Theory》 2008-11
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Analysis of an Eco-epidemiological Model with the Disease in the Prey

LI Yi-hong,XUE Ya-kui(Department of Mathematics,North University of China,Taiyuan Shanxi 030051,China)  
We formulate and analyze the eco-epidemiological model with the disease in the prey,considering the prey population with the constant recruitment(including newborns and migratory) and the growth rate of the predator population is governed by the Logistic model.And we study the boundedness of solutions and the existence of the equilibria,obtain the sufficient conditions of locally asymptotically stable of the equilibria by the Routh-Hurwitz criterion,analyze the global stability of the equilibria by constructing appropriate Lyapunov functions,that is the conditions of the disease existent or not.Furthermore,we study the permanence of the system by comparison theorem.
【Fund】: 国家自然科学基金(10471040);; 山西省青年科学基金(20041004);; 山西省高校科技研究开发项目(20061025)
【CateGory Index】: O242.1;O175.13
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 KANG Ai-hua,XUE Ya-kui(Department of Mathematics,North University of China,Taiyuan 030051,China);The Dynamic of the Eco-epidemiological Model with the Disease in the Prey[J];Mathematics in Practice and Theory;2007-20
【Co-citations】
Chinese Journal Full-text Database 1 Hits
1 BAI Cui-cui,LI You-wen(Department of Mathematics,North University of China,Taiyuan 030051,China);Analysis on Class of Prey-dependent Eco-epidemiological Model with Impulsive Effect[J];Journal of Shanxi University(Natural Science Edition);2010-01
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