Structure and Stability of Steady State Bifurcation in a Cannibalism Model with Cross-Diffusion

被引：0

作者：

Chen, Meijun ^{[1
]}

Fu, Shengmao ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷

基金：

中国国家自然科学基金;

关键词：

PREY-PREDATOR SYSTEM; CHEMOTAXIS MODEL; MIXTURES; DYNAMICS; SELF;

D O I：

10.1155/2020/2969713

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper deals with spatial patterns of a predator-prey crossdiffusion model with cannibalism. By applying the asymptotic analysis and Rabinowitz bifurcation theorem, we consider the local structure of steady state to the model and determine an explicit formula of the nonconstant steady state. Furthermore, the criteria of the stability/instability for the steady state with small amplitude are established.

引用

页数：13

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