Numerical simulation for a stochastic system with Beddington-DeAngelis functional response.

Considering Poisson white noise and Gauss white noise into the intrinsic grow rate of prey and the death rate of predators, a stochastic system of three population densities with Beddington -DeAngelis functional response is established. Then Milstein method is used to make stochastic system discrete and programs is compiled with computer algebra Matlab to finish the analysis. Numerical simulations of deterministic system and stochastic system certifiy the result obtained. The results demonstrate that a bounded chaotic attractor would occur in the stochastic system if the noises are sufficiently small. [ABSTRACT FROM AUTHOR]