Existence, uniqueness and stability of positive steady states to a prey-predator diffusion system

被引：0
|
作者：
WANG MingXin1
机构：
来源：
Science China Mathematics | 2009年 / 05期
基金：
中国国家自然科学基金;
关键词：
preypredator model; positive solutions; bifurcation; existence and uniqueness; stability;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In the paper, we study the positive solutions of an elliptic system coming from a preypredator model with modified Leslie-Gower and Holling-Type II schemes. We study the existence, non-existence, bifurcation, uniqueness and stability of positive solutions. In particular, we obtain a continuum of positive solutions connecting a semitrivial solution to the unique positive solution of the limiting system.
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页码：1031 / 1041
页数：11
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