Global asymptotic stability of a stochastic delayed predator–prey model with Beddington–DeAngelis functional response

This paper is concerned with a stochastic predator–prey system with Beddington–DeAngelis functional response and time delay. Sufficient conditions for global asymptotic stability of the positive equilibrium point are established. The result demonstrates that the delay is harmless for global stability of the stochastic system in some cases. Some figures are given to validate the analytical results.