| 具变时滞Lotka-Volterra系统的全局渐近稳定性 |
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| 引用本文： | 盖平,黄庆道,付苗苗. 具变时滞Lotka-Volterra系统的全局渐近稳定性[J]. 吉林大学学报(理学版), 2004, 42(3): 367-370 |
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| 作者姓名： | 盖平 黄庆道 付苗苗 |
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| 作者单位： | 白城师范学院数学系,白城,137000;吉林大学数学学院应用数学系,长春,130012;长春师范学院数学系,长春,130032 |
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| 摘 要： | 利用Lyapunov函数方法研究了具变时滞Lotka-Volterra系统的渐近稳定性， 得到一些新结果， 推广并改进了已有的一些相关结果.
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| 关 键 词： | 全局渐近稳定性 Lotka-Volterra系统 变化率 |
| 文章编号： | 1671-5489(2004)03-0367-04 |
| 收稿时间： | 2004-01-08 |
| 修稿时间： | 2004-01-08 |
Global asymptotic stability of Lotka-Volterra system with variable time delays |
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| GAI Ping,HUANG Qing-dao,FU Miao-miao. Global asymptotic stability of Lotka-Volterra system with variable time delays[J]. Journal of Jilin University: Sci Ed, 2004, 42(3): 367-370 |
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| Authors: | GAI Ping HUANG Qing-dao FU Miao-miao |
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| Affiliation: | 1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, China;2. Department of Applied Mathematics, College of Mathematics, Jilin University, Changchun 130023, China;3. Department of Mathematics, Changchun Normal College, Changchun 130032, China |
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| Abstract: | The Lyapunov function is used to derive a set of easily verifiable sufficient conditions for the global asymptotic stability of the Lotka-Volterra system with variable time delays. Some new results are obtained, some related known results are improved and generalized. |
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| Keywords: | global asymptotic stability Lotka-Volterra system variation rate |
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