On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie-Gower type diffusive predator-prey system

被引：0
|
作者：
Zhou, Jun [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2014年 / 19卷 / 04期
关键词：
Leslie-Gower type diffusive predator-prey system; positive steady state solutions; uniqueness; multiplicity; stability; II SCHEMES; FUNCTIONAL-RESPONSE; GLOBAL STABILITY; MODEL; BIFURCATION; COMPETITION;
D O I：
10.15388/NA.2014.4.11
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a Leslie-Gower type diffusive predator-prey system. By using topological degree theory, bifurcation theory, energy estimates and asymptotic behavior analysis, we prove the existence, multiplicity, uniqueness and stability of positive steady states solutions under certain conditions on parameters.
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页码：669 / 688
页数：20
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