霍普夫分叉
数学
数学分析
Dirichlet边界条件
平流
分叉
反应扩散系统
稳态(化学)
跨临界分岔
边值问题
物理
非线性系统
热力学
量子力学
化学
物理化学
作者
Tingting Wen,Xiaoli Wang,Guohong Zhang
出处
期刊:Communications on Pure and Applied Analysis
[American Institute of Mathematical Sciences]
日期:2023-01-01
摘要
In this paper, we are concerned with a two-species reaction-diffusion-advection competitive model with nonlocal delay subject to the homogeneous Dirichlet boundary conditions. The existence of the spatially inhomogeneous steady state is studied by using the implicit function theorem. The stability of the inhomogeneous steady state and the associated Hopf bifurcation are investigated by analyzing a non-self-adjoint linear operator. Taking the time delay as the bifurcation parameter, we obtain the critical value of time delay for the Hopf bifurcation and the stability switch phenomenon.
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