Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model
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A stochastic two-species ratio-dependent predator-prey system is investigated. We show that there is a unique positive solution to the model for any positive initial value. Stochastically ultimate boundedness and uniform continuity are considered. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct. Finally we introduce some figures to illustrate our main results.
KeywordsPredator-prey Stochastically ultimately boundedness Comparison theorem Persistence in mean
AMS 2000 Subject Classifications60H10 91B70
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