Ӧ�ø���ͳ�� 2009, 25(4) 375-380 DOI:      ISSN: 1001-4268 CN: 31-1256

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Stochastic Prey-Predator Model
Zhang Shulin,Wei Zhenghong
Sun Yat-sen University, GF Securities Co., LTDShenzhen University,
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.
Keywords: Prey-predator model   birth-death process   generatingfunction   extinction probability.  
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