Abstract
In this paper, a two-species nonautonomous stochastic mutualism system is investigated. The intrinsic growth rates of the two species at timetare estimated byrit+σitB˙i(t), i=1,2,respectively. Viewing the different intensities of the noisesσi(t),i=1,2as two parameters at timet, we conclude that there exists a global positive solution and thepth moment of the solution is bounded. We also show that the system is permanent, including stochastic permanence, persistence in mean, and asymptotic boundedness in time average. Besides, we show that the large white noise will make the system nonpersistent. Finally, we establish sufficient criteria for the global attractivity of the system.
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