Dynamics of an $n$-Patch Predator-Prey Model with Allee Effect

Zhaolei Zhu; Zhichun Yang; Weisong Zhou

News & Announcements

IMPORTANT NEWS

Links

JNMA
JAAC

Dynamics of an $n$-Patch Predator-Prey Model with Allee Effect

View Full Text View/Add Comment Download reader

KeyWord:$n$-patch, stability, Allee effect, predation-prey model

Author Name	Affiliation
Zhaolei Zhu	Key Laboratory of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Zhichun Yang	Department of Mathematics, Chongqing Normal University, Chongqing 400047, China
Weisong Zhou	Key Laboratory of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Hits: 23

Download times: 31

Abstract:

A class of $n$-patch predator-prey diffusion models with the Allee effect is established. The influence of the Allee effect and diffusion of prey on the existence and stability of the equilibrium point are investigated. Firstly, sufficient conditions for the permanence and extinction of the system are analyzed. Secondly, by constructing a new Lyapunov function in terms of graph theory, we obtain a sufficient condition of the global asymptotical stability for the positive equilibrium point. Finally, our results of this paper are verified by Matlab simulation.