Analysis on a stochastic predator-prey model with modified Leslie-Gower response. (English) Zbl 1217.60059

Lv, Jingliang; Wang, Ke

Abstr. Appl. Anal. 2011, Article ID 518719, 16 p. (2011).

Summary: 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.

MSC:

60H30	Applications of stochastic analysis (to PDEs, etc.)
92D25	Population dynamics (general)

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