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

被引：0

作者：

MingXin Wang

XuBo Wang

机构：

[1] Harbin Institute of Technology,Science Research Center

[2] Southeast University,Department of Mathematics

[3] Macon State College,Division of Natural Science and Mathematics

来源：

Science in China Series A: Mathematics | 2009年 / 52卷

关键词：

prey-predator model; positive solutions; bifurcation; existence and uniqueness; stability; 35J55; 35B25; 92B05;

D O I：

暂无

中图分类号：

学科分类号：

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 semi-trivial solution to the unique positive solution of the limiting system.

引用

页码：1031 / 1041

页数：10

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