Qualitative Analysis on a Reaction-Diffusion Prey-Predator Model and the Corresponding Steady-States  

作　　者：Qunyi BIE Rui PENG 

机构地区：[1]Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, Hubei, China

出　　处：《Chinese Annals of Mathematics,Series B》2009年第2期207-220,共14页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 10801090, 10726016)

摘　　要：The authors study a diffusive prey-predator model subject to the homogeneous Neumann boundary condition and give some qualitative descriptions of solutions to this reaction-diffusion system and its corresponding steady-state problem. The local and global stability of the positive constant steady-state are discussed, and then some results for non- existence of positive non-constant steady-states are derived.

关 键 词：Prey-predator model Steady-state Global stability NON-EXISTENCE 

分 类 号：O175.2[理学—数学] Q141[理学—基础数学]