Stochastic Prey-Predator Model

Zhang Shulin, Wei Zhenghong. Stochastic Prey-Predator Model[J]. Chinese Journal of Applied Probability and Statistics, 2009, 25(4): 375-380.

Citation:

Zhang Shulin, Wei Zhenghong. Stochastic Prey-Predator Model[J]. Chinese Journal of Applied Probability and Statistics, 2009, 25(4): 375-380.

Citation:

Zhang Shulin, Wei Zhenghong. Stochastic Prey-Predator Model[J]. Chinese Journal of Applied Probability and Statistics, 2009, 25(4): 375-380.

Abstract

In this paper, a 2-dimension, nonlinear birth-death prey-predator model is established. By generating function, we derive the partial differential equations that the mean process of our model satisfied and prove that the preys and predators will extinct with probability 1.

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