随机Gilpin-Ayala互惠模型研究  

Farther research on Stochastic Gilpin-Ayala Cooperative Models

作　　者：廖宝超[1] 张建勋[2] 王晓慧[3] 

机构地区：[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

出　　处：《数学的实践与认识》2011年第8期115-120,共6页Mathematics in Practice and Theory

基　　金：浙江省新苗人才计划项目(2007R40G2070023)

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.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.

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

分 类 号：O211.6[理学—概率论与数理统计]