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On a stochastic predator‐prey system with modified functional response
Authors:Jingliang Lv  Ke Wang
Institution:Department of Mathematics, Harbin Institute of Technology (Weihai), , Weihai, 264209 China
Abstract:A stochastic predator–prey system with modified functional response is investigated. We show that there is a unique positive solution to the model for any positive initial value by comparison theorem. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:formula  Beddington–  DeAngelis  Comparison theorem  Persistent in mean  Extinct
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