Analysis on stochastic dynamics of two-consumers-one-resource competing systems with Beddington-DeAngelis functional response

In this paper,stochastic dynamics with Lévy noise of two-consumers-one-resource competing systems with Beddington–DeAngelis functional response are considered.We first show the existence of the global positive solution,then discuss the effects of noises on the extinction of the species and the stochastic persistence of the species.In the meanwhile,numerical simulations are carried to support results.Finally,we show the existence of the stationary distribution for a special case.