| 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 |
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| 引用本文： | 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). |
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| 作者姓名： | 刘海英 |
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| 作者单位： | 云南财贸学院,财政金融学院,云南,昆明,650221 |
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| 摘 要： | 讨论了一类n维环型Lotka-Volterra系统 x=X(b Ax)存在正平衡点的充分条件及正平衡点全局渐近稳定的充分必要条件,得到结论:i)若-A∈P,系统有唯一的正平衡点;ii)系统的正平衡点全局渐近稳定的充要条件是-A∈P.
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| 关 键 词： | 正平衡点 全局渐近稳定性 n维环型Lotka-Volterra系统 |
Necessary and sufficient conditions for the existence of globally stable positive equilibrium points of n-dimensional Lotka-Volterra circle systems |
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| LIU Hai-ying.Necessary and sufficient conditions for the existence of globally stable positive equilibrium points of n-dimensional Lotka-Volterra circle systems[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2004,13(2). |
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| Authors: | LIU Hai-ying |
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| 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. |
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| Keywords: | positive equilibrium points global asymptotical stability n-dimensional Lotka-Volterra circle system |
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