CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2009, 25(4) 375-380 DOI:      ISSN: 1001-4268 CN: 31-1256

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Keywords
Prey-predator model
birth-death process
generatingfunction
extinction probability.
Authors
Zhang Shulin
Wei Zhenghong
PubMed
Article by
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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.  
Received 1900-01-01 Revised 1900-01-01 Online:  
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Corresponding Authors: Zhang Shulin
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