Qualitative analysis on a reaction-diffusion prey-predator model and the corresponding steady-states

被引：0
|
作者：
Qunyi Bie
Rui Peng
机构：
[1] China Three Gorges University,Department of Mathematics, College of Science
来源：
Chinese Annals of Mathematics, Series B | 2009年 / 30卷
关键词：
Prey-predator model; Steady-state; Global stability; Non-existence; 35J55; 37B25; 92D25;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：207 / 220
页数：13
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