Stability and bifurcation of a ratio-dependent prey-predator system with cross-diffusion

被引：2

作者：

Li, Chenglin ^{[1
]}

机构：

[1] Honghe Univ, Coll Math, Mengzi 661199, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 73卷 / 04期

关键词：

Cross-diffusion; Stability; Bifurcation; Existence; II FUNCTIONAL-RESPONSE; STEADY-STATE SOLUTIONS; MODEL;

D O I：

10.1016/j.camwa.2016.12.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is purported to investigate a ratio-dependent prey-predator system with cross-diffusion in a bounded domain under no flux boundary condition. The asymptotical stabilities of nonnegative constant solutions are investigated to this system. Moreover, without estimating the lower bounds of positive solutions, the existence, multiplicity of positive steady states are considered by using fixed points index theory, bifurcation theory, energy estimates and the differential method of implicit function and inverse function. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：565 / 575

页数：11

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