Bifurcation analysis of a two-species diffusive model

被引：2

作者：

Ma, Li ^{[1
]}

Luo, Youquan ^{[1
]}

Li, Shiyu ^{[2
]}

机构：

[1] Gannan Normal Univ, Coll Math & Comp, Ganzhou 341000, Jiangxi, Peoples R China

[2] Jiangxi Univ Sci & Technol, Fac Sci, Ganzhou 341000, Jiangxi, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 96卷

关键词：

Lyapunov-Schmidt reduction; Reaction-diffusion; Bifurcation theory; Implicit function theorem; Coexistence solution; STABILITY;

D O I：

10.1016/j.aml.2019.05.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to studying a two species model with reaction-diffusion term under the robin boundary condition. By applying Lyapunov-Schmidt reduction, implicit function theorem, bifurcation theory, the principal spectral theory and other important formulas, we obtain the existence and stability of the spatial nonhomogeneous steady state solutions bifurcating from a double eigenvalue under some given parameters conditions. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：236 / 242

页数：7

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