We discuss a stochastic predator-prey system with Holling II functional response. First, we show that this system has a unique positive solution as this is essential in any population dynamics model. Then, we deduce the conditions that there is a stationary distribution of the system, which implies that the system is permanent. At last, we give the conditions for the system that is going to be extinct.
"The Asymptotic Behavior of a Stochastic Predator-Prey System with Holling II Functional Response." Abstr. Appl. Anal. 2012 (SI15) 1 - 14, 2012. https://doi.org/10.1155/2012/801812