Dynamics analysis and numerical implementations of a diffusive predator–prey model with herd behaviour and Allee effect
Dynamics analysis and numerical implementations of a diffusive predator–prey model with herd behaviour and Allee effect
复制标题
DOI：
10.1080/21642583.2022.2079572
复制
发表时间：
2022-06
影响因子：
4.1
通讯作者：
Wenbin Yang;Danqing Li
中科院分区：
文献类型：
--
作者：
Wenbin Yang;Danqing Li
研究了一类具有羊群行为和强Allee效应的食饵-捕食系统。首先，对所有可能的平衡点进行局部稳定性分析。其次，讨论了系统在唯一正平衡点附近的Hopf分支的存在性。最后，本文结束了一个数值模拟，了解系统的动力学。Allee效应常数在生物入侵机制中起着非常重要的作用，如控制和阻止生物入侵或成功入侵。
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.