云南民族大学学报(自然科学版)2004,Vol.13Issue(2):139-141,3.
一类n维环型Lotka-Volterra系统正平衡点全局渐近稳定的充要条件
Necessary and sufficient conditions for the existence of globally stable positive equilibrium points of n-dimensional Lotka-Volterra circle systems
刘海英1
作者信息
- 1. 云南财贸学院,财政金融学院,云南,昆明,650221
- 折叠
摘要
Abstract
The existence and global stability of positive equilibrium points of n-dimensional Lotka-Volterra circle systems =X(b+Ax) was discussed and the following conclusion was obtained:i) if -A∈P ,then the system has only one positive equilibrium point.ii) the positive equilibrium points of this system is global asymptotically stable if and only if-A∈P.关键词
正平衡点/全局渐近稳定性/n维环型Lotka-Volterra系统Key words
positive equilibrium points/global asymptotical stability/n-dimensional Lotka-Volterra circle system分类
数理科学引用本文复制引用
刘海英..一类n维环型Lotka-Volterra系统正平衡点全局渐近稳定的充要条件[J].云南民族大学学报(自然科学版),2004,13(2):139-141,3.