Dynamics of a stochastic ratio-dependent Leslie system

In this paper, we discuss a stochastic ratio-dependent Leslie system with Holling III functional response. By the comparison theorem of stochastic equations and Itô´s formula, we show that there is a unique positive solution to the system. Moreover, under some conditions, we conclude that the model is persistent in mean and extinction. In the end, we use some numerical simulations to confirm the above theoretical analysis.