Abstract and Applied Analysis

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

Zhenwen Liu, Ningzhong Shi, Daqing Jiang, and Chunyan Ji

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 801812, 14 pages.

Dates
First available in Project Euclid: 7 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1399487519

Digital Object Identifier
doi:10.1155/2012/801812

Mathematical Reviews number (MathSciNet)
MR3004933

Zentralblatt MATH identifier
1256.92043

Citation

Liu, Zhenwen; Shi, Ningzhong; Jiang, Daqing; Ji, Chunyan. The Asymptotic Behavior of a Stochastic Predator-Prey System with Holling II Functional Response. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 801812, 14 pages. doi:10.1155/2012/801812. https://projecteuclid.org/euclid.aaa/1399487519


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