| 具无限时滞的Lotka-Volteraa三种群互惠系统的持久性与周期性 |
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| 引用本文： | 郭微,程荣福.具无限时滞的Lotka-Volteraa三种群互惠系统的持久性与周期性[J].吉林大学学报(理学版),2010,48(6):893-898. |
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| 作者姓名： | 郭微 程荣福 |
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| 作者单位： | 1. 北华大学 数学学院, 吉林 吉林 132013,2. 吉林大学 数学研究所, 长春 130012 |
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| 摘 要： | 研究具有无限时滞的非自治Lotka-Volteraa三种群模型,该系统三种群具有互惠关系.利用微分方程比较定理,得到了该系统持久性的充分条件;利用重合度理论中的延拓定理,得到了该系统正周期解存在性的充分条件.
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| 关 键 词： | 互惠系统 持久性 重合度理论 正周期解 |
| 收稿时间： | 2010-03-10 |
Periodicity and Permanence of Lotka-Volteraa Three Species Cooperative System with Infinite Delay |
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| GUO Wei,CHENG Rong-fu.Periodicity and Permanence of Lotka-Volteraa Three Species Cooperative System with Infinite Delay[J].Journal of Jilin University: Sci Ed,2010,48(6):893-898. |
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| Authors: | GUO Wei CHENG Rong-fu |
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| Institution: | 1. College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | This paper deals with a nonautonomous Lotka Volteraa three species system with three species cooperative and infinite delay. The sufficient condition for the permanence of the system was obtained by means of differential equation comparability theorem;the sufficient condition for the existence of positive periodic solution of the system was obtained with the aid of continuation theorem based on coincidence degree theory. |
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| Keywords: | cooperative system persistence continuation theorem positive periodic solution |
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