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随机Gilpin-Ayala互惠模型研究
引用本文:廖宝超,张建勋,王晓慧.随机Gilpin-Ayala互惠模型研究[J].数学的实践与认识,2011,41(8).
作者姓名:廖宝超  张建勋  王晓慧
作者单位:1. 烟台南山学院理学院,山东烟台,265713
2. 宁波大学理学院,浙江宁波,315211
3. 烟台南山学院现代教育中心,山东烟台,265713
基金项目:浙江省新苗人才计划项目
摘    要: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.

关 键 词:随机模型  随机Gilpin-Ayala互惠模型  稳定性  平衡解

Farther research on Stochastic Gilpin-Ayala Cooperative Models
LIAO Bao-chao,ZHANG Jian-xun,WANG Xiao-hui.Farther research on Stochastic Gilpin-Ayala Cooperative Models[J].Mathematics in Practice and Theory,2011,41(8).
Authors:LIAO Bao-chao  ZHANG Jian-xun  WANG Xiao-hui
Institution:LIAO Bao-chao~1,ZHANG Jian-xun~2,WANG Xiao-hui~1 (1.Yantai Nanshan University,Yantai 265713,China) (2.Ningbo University,Ningbo 315211,China)
Abstract:In this paper,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-Ayala competition system are obtained.
Keywords:stochastic equation  gilpin-ayala cooperative model  stability  equilibrium solution  
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