Hopf bifurcation in a reaction-diffusion-advection model with nonlocal delay effect and Dirichlet boundary condition

被引：1

作者：

Wen, Tingting ^{[1
]}

Wang, Xiaoli ^{[1
]}

Zhang, Guohong ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 519卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Reaction-diffusion-advection equation; Lyapunov-Schmidt reduction; Nonlocal delay; Hopf bifurcation; TRAVELING-WAVES; POPULATION; STABILITY; PERSISTENCE; EQUATIONS; SYSTEM;

D O I：

10.1016/j.jmaa.2022.126823

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the dynamics of a reaction-diffusion-advection equation with nonlocal delay effect and Dirichlet boundary condition. The existence of spatially nonhomogeneous steady states and the associated Hopf bifurcation are obtained by using the Lyapunov-Schmidt reduction. We also give applications of the theoretical results to models with a logistic growth rate and a weak Allee growth rate. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：29

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