| 具时滞和反馈控制的多物种Lotka-Volterra竞争差分系统的正周期解的存在性 |
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| 引用本文： | 崔瑞刚,刘智钢. 具时滞和反馈控制的多物种Lotka-Volterra竞争差分系统的正周期解的存在性[J]. 湘南学院学报, 2007, 28(2): 4-9 |
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| 作者姓名： | 崔瑞刚 刘智钢 |
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| 作者单位： | 1. 广东揭阳职业技术学院,数学与计算机系,广东,揭阳,522000
2. 湘南学院,数学系,湖南,郴州,423000 |
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| 摘 要： | 利用Mawhin的重合度理论中的延拓定理研究了具时滞和反馈控制的多物种Lotka-Volterra竞争差分系统的正周期解的存在性,获得了保证该差分系统存在正周期解的一个充分条件.
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| 关 键 词： | 正周期解 时滞 反馈控制 重合度理论. |
| 文章编号： | 1672-8173（2007）02-0004-06 |
| 收稿时间： | 2007-01-23 |
| 修稿时间： | 2007-01-23 |
Existence of Positive Periodic Solution of Multispecies Lotka-Volterra Competition Difference System with both Delays and Feedback Control |
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| CUI Lui-gang,LIU Zhi-gang. Existence of Positive Periodic Solution of Multispecies Lotka-Volterra Competition Difference System with both Delays and Feedback Control[J]. Journal of Xiangnan University, 2007, 28(2): 4-9 |
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| Authors: | CUI Lui-gang LIU Zhi-gang |
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| Abstract: | In this paper,by using the coutinuation theorem of Mawhin's coincidence degree,we study the existence of positive periodic solution of multispecies Lotka-Volterra competition difference System and obtain a sufficient condition for the existence of positive periodic solution of the system. |
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| Keywords: | positive periodic solution time delays feedback control coincidence degree theory |
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