Abstract:It discussed a stochastic ratio-dependent predator-prey system with Holling III functional response.By the comparison theorem of stochastic equations and formula,we show that there is a unique positive solution to the system and the positive solution is stochastically ultimately bounded.Moreover,under some conditions,we conclude that the stochastic model is persistent in mean.Besides,a condition for species to be extinct is established.In the end,it used some numerical simulations to confirm the results.