Existence and stability of steady states of reaction–diffusion equation with spatiotemporal memory

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-09-27 DOI:10.1016/j.aml.2024.109323

Shu Li , Binxiang Dai , Hao Wang

引用次数: 0

Abstract

This paper focuses on a reaction–diffusion equation with spatiotemporal memory and Dirichlet boundary condition. We prove the existence of positive steady-state solutions through local and global bifurcation theory and provide the conditions for the stability of positive steady-state solutions. Our general results are applied to a diffusive logistic population model with spatiotemporal memory.

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具有时空记忆的反应扩散方程稳态的存在性和稳定性

本文主要研究具有时空记忆和迪里夏特边界条件的反应扩散方程。我们通过局部和全局分岔理论证明了正稳态解的存在，并提供了正稳态解的稳定性条件。我们的一般结果被应用于具有时空记忆的扩散对数模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.