| 具有时滞的周期Logistic方程的持续性与周期解 |
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| 引用本文： | 桂占吉,陈兰荪.具有时滞的周期Logistic方程的持续性与周期解[J].数学研究与评论,2003,23(1):109-114. |
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| 作者姓名： | 桂占吉 陈兰荪 |
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| 作者单位： | 1. 海南师范学院数学系,海南,海口,571158
2. 中国科学院数学研究所,北京,100080 |
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| 基金项目： | 海南省自然科学基金(80201)、海南省教育厅高校科研资助项目(Hjkj200108) |
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| 摘 要： | 这篇文章的目的是讨论一类具有多个时滞的周期Logistic方程的动力学行为.证明 了在某些条件下系统是持续的,建立了全局吸引周期解的充分条件.
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| 关 键 词： | Logistic方程 时滞 周期性 全局吸引 |
| 文章编号： | 1000-341X(2003)01-0109-06 |
| 收稿时间： | 2000/9/27 0:00:00 |
| 修稿时间： | 2000年9月27日 |
Persistence and Periodic Solutions of a Periodic Logistic Equation with Time Delays |
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| GUI Zhan-ji and CHEN Lan-sun.Persistence and Periodic Solutions of a Periodic Logistic Equation with Time Delays[J].Journal of Mathematical Research and Exposition,2003,23(1):109-114. |
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| Authors: | GUI Zhan-ji and CHEN Lan-sun |
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| Institution: | Dept. of Math.; Hainan Teachers' College; Haikou; China;Inst. of Math.; Academic Sinica; Beijing; China |
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| Abstract: | The purpose of this paper is to discuss the dynamical behaviour of a periodic Logistic equation with time delays. It is proved that the system can be persistent under some conditions. Furthermore, sufficient conditions are established for the periodic solution to be globally attractive. |
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| Keywords: | Logistic equation delay periodic solution global attractivity |
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