Periodic Solution for Stochastic Non-autonomous Schoener Competitive System

摘要

In this paper,we consider a stochastic non-autonomous Schoener competitive system.Firstly,we prove the existence of positive periodic solution when the coefficients of Schoener competitive system satisfied certain conditions.Then the global attractiveness of positive periodic solution is also proved by constructing appropriate Lyapunov function.In addition,we show that the stronger noises will lead to the extinction of competitive systems.