J4 ›› 2010, Vol. 48 ›› Issue (03): 375-383.
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XU Shenghu, LI Xiang feng
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With the help of the energy estimate method, the existence, uniqueness and uniform boundedness of global solutions for a cross diffusion preypredator model with BeddingtonDeAngelis functional response were proved. The sufficient condition of global asymptotic stability of the unique positive equilibrium point for this model was given by constructing Lyapunov function.
Key words: selfdiffusion, crossdiffusion, BeddingtonDeAngelis functional response, global solutions, stability
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HU Sheng-Hu, Li-Xiang-Feng. Existence and Stability of Global Solutions for a Prey-PredatorModel with Beddington-DeAngelis Functional Response[J].J4, 2010, 48(03): 375-383.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2010/V48/I03/375
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