| ON CRITERIA FOR GLOBAL STABILITY OF N-DIMENSIONAL LOTKA-VOLTERRA SYSTEMS |
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| 作者姓名： | 刘海英 罗吉贵 赵晓华 |
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| 作者单位： | Dept. of Math.，Yunnan University，Kunming 650091，Dept. of Math.，Yunnan University，Kunming 650091，Dept. of Math.，Yunnan University，Kunming 650091 |
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| 基金项目： | Supported by the NNSF of China (19972058)，the NSF of Yunnan Province of China (2001A0001M). |
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| 摘 要： | This paper gives the conditions for the existence of a globally stable equi-librium of rz-dimensional Lotka-Volterra systems in the following cases: Lotka-Volterra chain systems and Lotka-Volterra modei between one and multispecies. The conditions obtained in this paper are much weaker than those in 6] and more easily verifiable in application. So the results can be applied to more general Lotka-Volterra models. At the same time, the existence and stability conditions of positive equilibrium points of the above systems are given.
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ON CRITERIA FOR GLOBAL STABILITY OF N-DIMENSIONAL LOTKA-VOLTERRA SYSTEMS |
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| Liu Haiying.ON CRITERIA FOR GLOBAL STABILITY OF N-DIMENSIONAL LOTKA-VOLTERRA SYSTEMS[J].微分方程年刊(英文版),2003(3). |
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| Authors: | Liu Haiying |
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| Abstract: | This paper gives the conditions for the existence of a globally stable equi-librium of rz-dimensional Lotka-Volterra systems in the following cases: Lotka-Volterra chain systems and Lotka-Volterra modei between one and multispecies. The conditions obtained in this paper are much weaker than those in 6] and more easily verifiable in application. So the results can be applied to more general Lotka-Volterra models. At the same time, the existence and stability conditions of positive equilibrium points of the above systems are given. |
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| Keywords: | global stability Lotka-Volterra system |
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