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Dynamical properties of a stochastic predator-prey model with functional response
Jingliang Lv,Xiaoling Zou,Yujie Li
Keywords:Strong stochastic persistence, stochastic Hopf bifurcation, extinction, Crowley-Martin functional response.
Abstract:
      A stochastic prey-predator model with functional response is investigated in this paper. A complete threshold analysis of coexistence and extinction is obtained. Moreover, we point out that the stochastic predator-prey model undergoes a stochastic Hopf bifurcation from the viewpoint of numerical simulations. Some numerical simulations are carried out to support our results.