随机Gilpin-Ayala竞争模型的稳定性(英文)  

Stability of Stochastic Gilpin-Ayala Competition Models

作　　者：连保胜[1] 胡适耕[1] 汪红初[1] 

机构地区：[1]华中科技大学数学系,湖北武汉430074

出　　处：《应用数学》2007年第2期408-414,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (1067108)

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.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.

关 键 词：随机 Gilpin—Ayala 竞争模型 LIAPUNOV函数 M矩阵 随机微分方程 

分 类 号：O211.63[理学—概率论与数理统计]