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| 具有脉冲和时滞的Logistic模型的持续生存和正周期解的全局吸引性(英文) | |
| 引用本文： | 裴永珍,李长国,陈兰荪. 具有脉冲和时滞的Logistic模型的持续生存和正周期解的全局吸引性(英文)[J]. 数学杂志, 2010, 30(1) |
| 作者姓名： | 裴永珍 李长国 陈兰荪 |
| 作者单位： | 1. 天津工业大学理学院,天津,300161 2. 天津军事交通学院基础部,天津,300161 3. 大连理工大学应用数学系,辽宁,大连,116023 |
| 基金项目： | Supported by National Natural Science Foundation of China(101711Q6) |
| 摘 要： | 本文研究了具有脉冲和时滞效应的Logistic模型.利用脉冲微分方程的比较定理,BohlBrower不动点定理和Lyapunov函数法,获得了系统持续生存,正周期解存在、唯一以及全局吸引的充分条件.结果表明正周期解的全局吸引性与时滞有关. |
| 关 键 词： | 脉冲 时滞 持续生存 正周期解 吸引性 |
GLOBAL ATTRACTIVITY OF THE POSITIVE PERIODIC SOLUTION OF A DELAY LOGISTIC POPULATION MODEL WITH IMPULSES |
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| PEI Yong-zhen,LI Chang-guo,CHEN Lan-sun. GLOBAL ATTRACTIVITY OF THE POSITIVE PERIODIC SOLUTION OF A DELAY LOGISTIC POPULATION MODEL WITH IMPULSES[J]. Journal of Mathematics, 2010, 30(1) | |
| Authors: | PEI Yong-zhen LI Chang-guo CHEN Lan-sun |
| Affiliation: | PEI Yong-zhen~1,LI Chang-guo~2,CHEN Lan-sun~3 (1.School of Science,Tianjin Polytechnic University,Tianjin 300161,China) (2.Dept.of Basic Science,Institute of Military Traffic,China) (3.Dept.of Applied Mathematics,Dalian University of Technology,Dalian 116023,China) |
| Abstract: | In this article,a delay Logistic system governed by impulsive effects is investigated. By using comparison theorem,it is proved that the system is permanent under some appropriate conditions.Further,a set of sufficient conditions which guarantee the existence,uniqueness and global attractivity of positive periodic solution are obtained by using Bohl-Brower fixed point theorem and Lyapunov function.The result demonstrates that the global attractivity of the positive periodic solution depends on time delay. |
| Keywords: | impulsive delay permanence positive periodic solution attractivity |
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