具有群体行为和Allee效应的扩散捕食-猎物模型的动力学分析与数值实现

IF 3.2 Q2 AUTOMATION & CONTROL SYSTEMS

Systems Science & Control Engineering Pub Date : 2022-06-23 DOI:10.1080/21642583.2022.2079572

Wenbin Yang, Danqing Li

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引用次数: 1

摘要

本文研究了一个具有群体行为和强Allee效应的捕食系统。首先，研究了所有可能平衡点的局部稳定性分析。其次，证明了唯一正平衡点周围Hopf分岔的存在性。最后，通过数值模拟来了解系统的动力学特性。结果表明，“Allee效应常数”在生物入侵机制中起着控制和防止生物入侵或成功入侵的重要作用。

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Dynamics analysis and numerical implementations of a diffusive predator–prey model with herd behaviour and Allee effect

This paper is concerned with a prey–predator system involving herd behaviour and strong Allee effect. First, the local stability analysis of all the possible equilibrium points are investigated. Second, the existence of Hopf bifurcation around the unique positive equilibrium are carried out. Finally, this paper is ended with a numerical simulation to understand the dynamics of the system. As it turns out that the ‘Allee effect constant’ plays a very important role in biological invasion mechanism, such as controlling and preventing biological invasion or invading successfully.

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来源期刊

Systems Science & Control Engineering AUTOMATION & CONTROL SYSTEMS-

CiteScore

9.50

自引率

2.40%

发文量

审稿时长

29 weeks

期刊介绍： Systems Science & Control Engineering is a world-leading fully open access journal covering all areas of theoretical and applied systems science and control engineering. The journal encourages the submission of original articles, reviews and short communications in areas including, but not limited to: · artificial intelligence · complex systems · complex networks · control theory · control applications · cybernetics · dynamical systems theory · operations research · systems biology · systems dynamics · systems ecology · systems engineering · systems psychology · systems theory