Asymptotic behaviour of the stochastic Gilpin–Ayala competition models

In this paper, we investigate a stochastic Gilpin–Ayala competition system, which is more general and more realistic than the classical Lotka–Volterra competition system.We discuss the asymptotic behaviour in detail of the stochastic Gilpin–Ayala competition system, and comparing the classical Lotka–Volterra with Gilpin–Ayala competition system, we find that the latter has better properties. © 2007 Elsevier Inc. All rights reserved.