| 渐近非自治Lotka-Volterra竞争系统正解的渐近性 |
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| 引用本文： | 颜向平,张存华,张忠辅. 渐近非自治Lotka-Volterra竞争系统正解的渐近性[J]. 兰州理工大学学报, 2003, 29(4): 129-131 |
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| 作者姓名： | 颜向平 张存华 张忠辅 |
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| 作者单位： | 兰州交通大学,数理与软件工程学院,甘肃,兰州,730070 |
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| 基金项目： | 国家自然科学基金(19871036)，甘肃省自然科学基金(ZS011 A25 007 Z) |
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| 摘 要： | 对参数与时间有关且分别渐近接近于周期函数的n维非自治Lotka Volterra竞争系统进行了研究,如果相应的周期系统存在唯一全局渐近稳定的正周期解,那么该系统的任意一个正解都渐近接近于相应周期系统的严格正周期解.
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| 关 键 词： | 正解 正周期解 渐近接近 |
| 文章编号： | 1000-5889(2003)04-0129-03 |
| 修稿时间： | 2003-02-14 |
Asymptotic property of positive solution to asymptotic nonautonomous Lotka-Volterra competing system |
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| YAN Xiang-ping,ZHANG Cun-hua,ZHANG Zhong-fu. Asymptotic property of positive solution to asymptotic nonautonomous Lotka-Volterra competing system[J]. Journal of Lanzhou University of Technology, 2003, 29(4): 129-131 |
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| Authors: | YAN Xiang-ping ZHANG Cun-hua ZHANG Zhong-fu |
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| Abstract: | Non-autonomous n-competing Lotka-Volterra system with time-dependent parameters, which approdimate separately and asymptotically to periodic functions, is investigated. It is shown that any one positive solution to this system would approximate asymptotically to a positive periodic solution to its corresponding periodic system if within the latter there were unique globally asymptotic stable positive periodic solution. |
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| Keywords: | positive solution positive periodic solution asymptotic approximation |
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