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Stationary distribution and persistence of a stochastic predator-prey model with a functional response
Keywords:Predator-prey, stationary distribution, persistence in mean
Abstract:
      A stochastic predator-prey model with a functional response is investigated in this paper. The asymptotic properties of the stochastic model is considered here. Under some conditions, we show that the stochastic model is persistent in mean. Moreover, the existence of a unique stationary distribution to the model is obtained. Simulations are also carried out to confirm our analytical results.