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.
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页数：29
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