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].数学研究及应用,2003,23(1):109~114 |
具有时滞的周期Logistic方程的持续性与周期解 |
Persistence and Periodic Solutions of a Periodic Logistic Equation with Time Delays |
投稿时间:2000-09-27 |
DOI:10.3770/j.issn:1000-341X.2003.01.017 |
中文关键词: Logistic方程 时滞 周期性 全局吸引 |
英文关键词:Logistic equation delay periodic solution global attractivity. |
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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中文摘要: |
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. |
英文摘要: |
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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