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Zbl 1218.92072
Lv, Jingliang; Wang, Ke
Asymptotic properties of a stochastic predator-prey system with Holling II functional response. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 10, 4037-4048 (2011). ISSN 1007-5704

Summary: A stochastic predator-prey system with Holling II functional response is proposed and investigated. We show that there is a unique positive solution to the model for any positive initial value, and that the positive solution to the stochastic system is stochastically bounded. Moreover, under some conditions, we conclude that the stochastic model is stochastically permanent and persistent in mean.
MSC 2000:
*92D40 Ecology
60H10 Stochastic ordinary differential equations
60H30 Appl. of stochastic analysis

Keywords: stochastically ultimately bounded; stochastic permanence; persistent in mean

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