具有记忆效应的非局部种内竞争捕食者-猎物模型的动力学特征

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-10-08 DOI:10.1016/j.aml.2024.109334

Xinyan Zhou, Xiaoli Wang, Guohong Zhang

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引用次数: 0

摘要

本文研究了一个在新曼边界条件下具有非局部种内猎物竞争和空间记忆的扩散捕食者-猎物模型。通过稳定性和分岔分析，我们发现基于记忆的扩散系数和时空扩散延迟对模型的动力学有重要影响。通过使用时空扩散延迟作为分岔参数，确定了正常数稳定状态和相关霍普夫分岔的临界值。我们发现该系统可能不存在稳定开关、一个稳定开关和多个稳定开关。

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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Dynamics of a non-local intraspecific competition predator–prey model with memory effect

In the paper, we investigate a diffusive predator–prey model with nonlocal intraspecific prey competition and spatial memory under Neumann boundary conditions. Through stability and bifurcation analysis, we find that the memory-based diffusion coefficient and the spatiotemporal diffusive delay have important effects on the dynamics of the model. By using the spatiotemporal diffusive delay as a bifurcation parameter, the critical values are determined for the stability of the positive constant steady state and the associated Hopf bifurcation. We find that the system may admit no stability switch, one stability switch and multiple stability switches.

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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.