Stability and ergodicity of a stochastic Gilpin-Ayala model under regime switching on patches

被引：5

作者：

Settati, Adel ^{[1
]}

Lahrouz, Aadil ^{[1
]}

机构：

[1] Fac Sci & Tech, Dept Math, Lab Math & Applicat, BP 416 Tanger Principale, Tanger, Morocco

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2017年 / 10卷 / 06期

关键词：

Gilpin-Ayala model; Markov switching; species dispersal; extinction; ergodicity; STATIONARY DISTRIBUTION; GLOBAL STABILITY; PREY DISPERSAL; DYNAMICS; EXTINCTION; DIFFUSION;

D O I：

10.1142/S1793524517500905

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The purpose of this work is to investigate the asymptotic properties of a stochastic Gilpin-Ayala population system under regime switching on patches. We establish the global stability and the extinction of the trivial equilibrium state of the model. Furthermore, we show the existence of the stationary distribution for our system model. The analytical results are illustrated by computer simulations.

引用

页数：16

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