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Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate
作者姓名:Rui  PENG  Ming  Xin  WANG  Wen  Van  CHEN
作者单位:[1]Institute of Nonlinear Complex System, College of Science, China Three Gorges University, Yichang 443002, P. R. China [2]Department of Mathematics, Southeast University, Nanjing 210018, P. R. China [3]Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, P. R. China
基金项目:This work is supported by the National Natural Science Foundation of China 10471022, and the Ministry of Education of China Science and Technology Major Projects Grant 104090. The work of R. Peng is also supported by the Foundation of Excellent Doctoral Dissertation of Southeast University YBJJ0405
摘    要:

关 键 词:捕食者-食饵模型  稳态  存在  唯一性  扩散  非单调收敛
收稿时间:2 July 2004
修稿时间:2004-07-022005-03-14

Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate
Rui PENG Ming Xin WANG Wen Van CHEN.Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate[J].Acta Mathematica Sinica,2007,23(4):749-760.
Authors:Rui Peng  Ming Xin Wang  Wen Yan CHEN
Institution:(1) Institute of Nonlinear Complex System, College of Science, China Three Gorges University, Yichang 443002, P. R. China;(2) Department of Mathematics, Southeast University, Nanjing 210018, P. R. China;(3) Department of Mathematics, Southeast University, Nanjing 210018, P. R. China;(4) Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, P. R. China;(5) Department of Mathematics, Southeast University, Nanjing 210018, P. R. China
Abstract:In this paper, we study the positive steady states of a prey-predator model with diffusion throughout and a non-monotone conversion rate under the homogeneous Dirichlet boundary condition. We obtain some results of the existence and non-existence of positive steady states. The stability and uniqueness of positive steady states are also discussed.
Keywords:prey-predator model  Steady states  Existence  Uniqueness  Stability
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