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.
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Stochastic Prey-Predator Model

  • Sun Yat-sen University, GF Securities Co., LTDShenzhen University,

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  • 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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