文章基本信息

标题：Dynamical analysis of a delayed diffusive predator–prey model with schooling behaviour and Allee effect
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作者：Xin-You Meng ; Jiao-Guo Wang
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2020
卷号：14
期号：1
页码：1-24
DOI：10.1080/17513758.2020.1850892
出版社：Taylor & Francis
摘要：In this paper, a delayed diffusive predator–prey model with schooling behaviour and Allee effect is investigated. The existence and local stability of equilibria of model without time delay and diffusion are given. Regarding the conversion rate as bifurcation parameter, Hopf bifurcation of diffusive system without time delay is obtained. In addition, the local stability of the coexistent equilibrium and existence of Hopf bifurcation of system with time delay are discussed. Moreover, the properties of Hopf bifurcation are studied based on the centre manifold and normal form theory for partial functional differential equations. Finally, some numerical simulations are also carried out to confirm our theoretical results.
关键词：Schooling behaviour ; time delay ; Hopf bifurcation ; Predator–prey ; Allee effect