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

Laboratory of Mathematics and Applications, Department of Mathematics, Faculty of Sciences and Techniques, B.P. 416-Tanger Principale, Tanger, Morocco

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Aadil Lahrouz

E-mail Address: lahrouzadil@gmail.com

Corresponding author.

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https://doi.org/10.1142/S1793524517500905Cited by:3 (Source: Crossref)

Abstract

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.

Keywords:

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