Optimal harvesting for a stochastic competition system with stage structure and distributed delay

A stochastic competition system with harvesting and distributed delay is investigated, which described by differential equations delay. The existence uniqueness of a global positive solution are proved via Lyapunov functions, an ergodic method used to obtain that the asymptotically stable in distribution. By using comparison theorem limit superior theory, sufficient conditions for persistence mean extinction established. We thereby optimal harvest strategy maximum net economic revenue theory equations.