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