网络拓扑结构对捕食者-猎物补丁模型稳定性和分叉的影响

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-08-26 DOI:10.1016/j.jde.2025.113720

Dan Huang , Tianhai Tian , Hongpeng Zhao

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引用次数: 0

摘要

本文从离散斑块的角度研究网络拓扑结构对Hopf分岔的影响。我们考虑了一个具有Holling ii型捕食者功能响应的捕食者-猎物斑块模型。我们的结果证明了正平衡的稳定性和不稳定性，并揭示了标度参数较小时Hopf分岔的存在性。在此基础上，考虑了网络拓扑结构对Hopf分岔值的影响。

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The effect of network topologies on stability and bifurcation in predator-prey patch models

This paper investigates how network topologies affect Hopf bifurcations from the perspective of discrete patches. We consider a predator-prey patch model with a Holling type-II predator functional response. Our results demonstrate the stability/instability of the positive equilibrium and reveal the existence of a Hopf bifurcation when the scaling parameter is small. Furthermore, the effect of network topologies on Hopf bifurcation value is considered for a special case.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics