随机Gilpin-Ayala互惠模型研究
首发时间:2009-02-23
摘要:本文修正了文献——《Stability of Stochastic Gilpin-Ayala competition Models》的若干错误,同时给出若干随机Gilpin-Ayala互惠模型 的正平衡解稳定的充分条件. 本文的研究对象是N维随机微分方程模型,主要研究了随机Gilpin-Ayala互惠模型,本文采用M-矩阵及Liapunov函数等方法,研究了随机Gilpin-Ayala互惠模型解的稳定性,并给出若干随机Gilpin-Ayala互惠模型 的正平衡解稳定的充分条件.同时修正了文献——《Stability of Stochastic Gilpin-Ayala competition Models》的若干错误.第二部分工作是,我们推广了随机Gilpin-Ayala互惠模型解的稳定性,得到了一些普遍性的结论。
关键词: 随机模型 随机Gilpin-Ayala互惠模型 稳定性 平衡解
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Farther research on Stochastic Gilpin-Ayala Cooperative Models
Abstract:In this paper, some new results of the stability of stochastic Gilpin-Aya1a competition system are obtained , and then, we investigate a stochastic Gilpin-Ayala Cooperative system , which is more genaral and more realistic than the classical Lotka-Volterra Cooperative system . According to the propriety of M-matrix, some new results of the stability of stochastic Gilpin-Aya1a competition system are obtained
Keywords: Stochastic equation Gilpin-Ayala Cooperative Model stability equilibrium solution
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