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.
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页码：1031 / 1041
页数：10
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