Dynamics of a weak-kernel distributed memory-based diffusion model with nonlocal delay effect

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-12-26 DOI:10.1016/j.aml.2024.109442

Quanli Ji, Ranchao Wu, Federico Frascoli, Zhenzhen Chen

引用次数: 0

Abstract

In this paper, we study a temporally distributed memory-based diffusion model with a weak kernel and nonlocal delay effect. Without diffusion, we present results on the stability and Hopf bifurcation of the positive constant steady state. With the inclusion of diffusion, further results on the stability and steady state bifurcation are derived. Finally, these findings are applied to a population model.

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具有非局部延迟效应的弱核分布式存储扩散模型动力学

本文研究了一种具有弱核和非局部延迟效应的基于时间分布存储器的扩散模型。在没有扩散的情况下，我们给出了正常数稳态的稳定性和Hopf分岔的结果。随着扩散的加入，进一步得到了稳定性和稳态分岔的结果。最后，将这些发现应用于人口模型。

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.