The Asymptotic Behavior of a Stochastic Predator‐Prey System with Holling II Functional Response

Zhenwen Liu, Ningzhong Shi, Daqing Jiang and Chunyan Ji

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
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https://doi.org/10.1155/2012/801812

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:801812

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