Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate

作     者：Rui PENG Ming Xin WANG Wen Van CHEN 

作者机构：Institute of Nonlinear Complex System College of Science China Three Gorges University Yichang 443002 P. R. China Department of Mathematics Southeast University Nanjing 210018 P. R. China Department of Mathematics Xuzhou Normal University Xuzhou 221116 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2007年第23卷第4期

页      面：749-760页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China 10471022 the Ministry of Education of China Science and Technology Major Projects Grant 104090 the Foundation of Excellent Doctoral Disscrtation of Southeast University YBJJ0405 

主　　题：prey-predator model Steady states Existence Uniqueness Stability 

摘      要：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.