| 区间多种群Volterra生态系统的全局稳定性 |
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| 引用本文： | 夏亚峰,刘仁义.区间多种群Volterra生态系统的全局稳定性[J].生物数学学报,2002,17(4):395-398. |
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| 作者姓名： | 夏亚峰 刘仁义 |
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| 作者单位： | 1. 甘肃工业大学,甘肃,兰州,730050
2. 庆阳师范高等专科学校,甘肃,西峰,745000 |
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| 摘 要： | 讨论了区间多种群Volterra生态系统正平衡点的全局渐近稳定性，对于互惠型区间多种群Volterra生态系统不仅给出了正平衡点的全局稳定的充分必要条件，而且给出了系统存在平衡点的充分条件，对于一般的区间多种群Volterra生态系统给出了正平衡点全局稳定的充分条件。
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| 关 键 词： | 区间多种群Volterra生态系统 全局稳定性 M－矩阵 正平衡点 |
| 文章编号： | 1001-9626(2002)04-0395-04 |
| 修稿时间： | 2000年3月7日 |
The Global Asymptotic Stability of Interval Many-Species Commensal Volterra Ecological Systems |
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| XIA Ya-feng LIU Ren-yi.The Global Asymptotic Stability of Interval Many-Species Commensal Volterra Ecological Systems[J].Journal of Biomathematics,2002,17(4):395-398. |
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| Authors: | XIA Ya-feng LIU Ren-yi |
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| Abstract: | In this paper, the global stability of interval many-species commensal Volterra ecological systems have been studied, the sufficient condition of the existence of positive equilibrium point and the necessary and sufficient condition of global stability of interval commensal Volterra systems be given, lastly, we give the sufficient condition for general interval Volterra ecological systems. |
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| Keywords: | M-matrix Positive equilibrium point Global asymptotic stability |
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