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Analysis of a predator-prey model with Crowley-Martin and modified Leslie-Gower schemes with stochastic perturbation
Yue Liu,Zhijun Zeng
Keywords:stochastic, Crowley-Martin and modified Leslie-Gower functional response, extinction, persistence
Abstract:
      In this paper, we study a nonautonomous predator-prey model with Crowley-Martin and modified Leslie-Gower schemes with stochastic perturbation. The existence of a global positive solution and stochastically ultimate boundedness are obtained. Sufficient conditions for extinction, persistence in the mean, and stochastic permanence of the system are established. Finally, simulations are carried out to verify our results.