New results on the stochastic Gilpin-Ayala model with delays

Abstract

In this paper, a stochastic Gilpin-Ayala model with delays is investigated. Some new sufficient conditions for the existence of positively global solution of the model are obtained. Moreover,  some asymptotic behaviors of the model are discussed. It is significant that these results improve the previous work (Lian et
al.(2006):  Stochastic delay Gilpin-Ayala competition models,  Stoch. Dyn. 6: 561-576).