随机捕食--被捕食模型

张术林, 魏正红. 随机捕食--被捕食模型[J]. 应用概率统计, 2009, 25(4): 375-380.

引用本文:

张术林, 魏正红. 随机捕食--被捕食模型[J]. 应用概率统计, 2009, 25(4): 375-380.

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.

Stochastic Prey-Predator Model

摘要: 本文建立了一类二维非线性生灭捕食--被捕食模型. 利用概率母函数, 我们得到其均值过程所满足的偏微分方程组, 并证明了捕食者和被捕食者以概率1灭绝.

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.

/