| 随机捕食——被捕食模型 |
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| 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. |
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| 作者姓名： | 张术林 魏正红 |
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| 作者单位： | 1. 中山大学工商管理博士后科研流动站,广发证券有限公司,广州,510075
2. 深圳大学师范学院数学系,深圳,518000 |
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| 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.
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| 关 键 词： | 捕食--被捕食模型 生灭过程 概率母函数 灭绝概率. |
Stochastic Prey-Predator Model |
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| ZHANG SHULIN,WEI ZHENGHONG.Stochastic Prey-Predator Model[J].Chinese Journal of Applied Probability and Statisties,2009,25(4):375-380. |
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| Authors: | ZHANG SHULIN WEI ZHENGHONG |
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| Institution: | Sun Yat-sen University, GF Securities Co., LTDShenzhen University, |
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| Abstract: | In this paper, a 2-dimension, nonlinearbirth-death prey-predator model is established. By generatingfunction, we derive the partial differential equations that the meanprocess of our model satisfied and prove that the preys andpredators will extinct with probability 1. |
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| Keywords: | Prey-predator model birth-death process generatingfunction extinction probability |
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