Dynamics of an autonomous Gilpin-Ayala competition model with random perturbation

This paper discusses the dynamics of a Gilpin-Ayala competition model of two interact­ing species perturbed by white noise.We obtain the existence of a unique global positive solution of the system and the solution is bounded in pth moment.Then,we establish sufficient and necessary conditions for persistence and the existence of an ergodic sta­tionary distribution of the model.We also establish sufficient conditions for extinction of the model.Moreover,numerical simulations are carried out for further support of present research.