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2011 Analysis on a Stochastic Predator-Prey Model with Modified Leslie-Gower Response
Jingliang Lv, Ke Wang
Abstr. Appl. Anal. 2011: 1-16 (2011). DOI: 10.1155/2011/518719


This paper presents an investigation of asymptotic properties of a stochastic predator-prey model with modified Leslie-Gower response. We obtain the global existence of positive unique solution of the stochastic model. That is, the solution of the system is positive and not to explode to infinity in a finite time. And we show some asymptotic properties of the stochastic system. Moreover, the sufficient conditions for persistence in mean and extinction are obtained. Finally we work out some figures to illustrate our main results.


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Jingliang Lv. Ke Wang. "Analysis on a Stochastic Predator-Prey Model with Modified Leslie-Gower Response." Abstr. Appl. Anal. 2011 1 - 16, 2011.


Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1217.60059
MathSciNet: MR2795076
Digital Object Identifier: 10.1155/2011/518719

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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