POSITIVE STEADY STATES AND DYNAMICS FOR A DIFFUSIVE PREDATOR-PREY SYSTEM WITH A DEGENERACY

被引：2
|
作者：
杨璐 [1 ,2 ]
张贻民 [3 ]
机构：
[1] School of Mathematics and Statistics, Lanzhou University
[2] Key Laboratory of Applied Mathematics and Complex Systems
[3] Wuhan Institute of Physics and Mathematics, Chinese Academy of
来源：
Acta Mathematica Scientia(English Series) | 2016年 / 36卷 / 02期
关键词：
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 this article, we consider positive steady state solutions and dynamics for a spatially heterogeneous predator-prey system with modified Leslie-Gower and Holling-Type II schemes. The heterogeneity here is created by the degeneracy of the intra-specific pressures for the prey. By the bifurcation method, the degree theory, and a priori estimates, we discuss the existence and multiplicity of positive steady states. Moreover, by the comparison argument, we also discuss the dynamical behavior for the diffusive predator-prey system.
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页码：537 / 548
页数：12
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