| 随机Gilpin-Ayala竞争模型的稳定性 |
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| 引用本文： | 连保胜,胡适耕,汪红初.随机Gilpin-Ayala竞争模型的稳定性[J].应用数学,2007,20(2):408-414. |
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| 作者姓名： | 连保胜 胡适耕 汪红初 |
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| 作者单位： | 华中科技大学数学系,湖北,武汉,430074 |
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| 摘 要： | 本文主要研究了一类随机Gilpin—Ayala竞争模型，它比经典Lotka—Volterra竞争模型更具一般性和实际意义．通过应用M矩阵的性质，得出随机Gilpin—Ayala竞争模型的稳定性的一些结论。
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| 关 键 词： | 随机Gilpin-Ayala竞争模型 Liapunov函数 M矩阵 随机微分方程 |
| 文章编号： | 1001-9847(2007)02-0408-07 |
| 修稿时间： | 2006-10-27 |
Stability of Stochastic Gilpin-Ayala Competition Models |
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| LIAN Bao-sheng,HU Shi-geng,WANG Hong-chu.Stability of Stochastic Gilpin-Ayala Competition Models[J].Mathematica Applicata,2007,20(2):408-414. |
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| Authors: | LIAN Bao-sheng HU Shi-geng WANG Hong-chu |
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| Institution: | Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074 ,China |
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| Abstract: | In this paper, we investigate a stochastic Gilpin-Ayala competition system, which is more genaral and more realistic than the classical Lotka-Volterra competition system. According to the propriety of M-matrix, some new results of the stability of stochastic Gilpin-Ayala competition system are obtained. |
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| Keywords: | Gilpin-Ayala competition models Liapunov function M-matrix Stochastic differential equation |
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