Asymptotic Properties Of A Stochastic Competitive Model Under Regime Switching

This paper considers a two-species stochastic competitive system under regime switch-ing as follows where Bi(t)(i=1,2) are independent standard Brownian motions.First, we analyze and prove that there exists an unique global positive solution of the system, and then some dynamical properties are obtained, including:persistence in mean, extinction and global attractivity. Finally, we use an example and simulation figures to illustrate our main conclusions.