Analysis of a two-species stochastic competitive Lotka-Volterra system with dispersal

A two-species stochastic competitive Lotka-Volterra system with dispersal is studied in this paper. Firstly, we demonstrate that the diffused system has a globally sole and positive solution for any given positive initial conditions via applying ltd formula. Then, we discuss the stochastic final bounded ness of the solution. Finally, we obtain a sufficient condition for extinction.