Positive solutions of a diffusive Leslie-Gower predator-prey model with Bazykin functional response

被引：13
|
作者：
Zhou, Jun [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2014年 / 65卷 / 01期
关键词：
Leslie-Gower predator-prey model; Bazykin functional response; positive steady state solutions; multiplicity; uniqueness; stability; II SCHEMES; SYSTEMS; BIFURCATION; COMPETITION; STABILITY;
D O I：
10.1007/s00033-013-0315-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a diffusive Leslie-Gower predator-prey model with Bazykin functional response and zero Dirichlet boundary condition. We show the existence, multiplicity and uniqueness of positive solutions when parameters are in different regions. Results are proved by using bifurcation theory, fixed point index theory, energy estimate and asymptotical behavior analysis.
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页码：1 / 18
页数：18
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