Abstract: Based on a stochastic Beddington-DeAngelis predator-prey system with Beddington-DeAngelis functional response,taking the complex coupled mode of two noise sources into account, a more complex system is investigated in this paper. Using the construction of Lyapunov functions and stopping time technique,the existence of global unique positive solution is obtained. Consequently, it is shown that the solution of the system is stochastically ultimate bounded. Finally,some sufficient conditions of stochastically global asymptotic stability are established, numerical experiments are conducted based on Matlab and Milstein method to verify the main conclusions of the stochastically global asymptotic stability.

Key words: Beddington-DeAngelis functional response, white noise, stochastically global asymptotic stabilit