| 引用本文： |
-
周优军,秦发金,姚晓洁,曹亮.一类具有脉冲和非单调功能反应的扩散时滞捕食系统的多重正周期解[J].广西科学,2009,16(4):373-378. [点击复制]
- ZHOU You-jun,QIN Fa-jin,YAO Xiao-jie,CAO Liang.Multiple Positive Periodic Solutions for a Class of Predator-prey System with Diffusion and Time Delay and Non-monotone Functional Response and Impulsive Effect[J].Guangxi Sciences,2009,16(4):373-378. [点击复制]
|
|
| 摘要: |
| 利用重合度理论,得到一类具有脉冲和非单调功能反应的扩散时滞捕食系统至少存在4个正周期解的充分条件. |
| 关键词: 微分方程 捕食系统 脉冲效应 功能反应 周期解 重合度 |
| DOI： |
| 投稿时间：2009-02-03修订日期：2009-04-17 |
| 基金项目:广西教育厅面上项目(200707MS061);广西青年科学基金项目(桂科青0832092)资助 |
|
| Multiple Positive Periodic Solutions for a Class of Predator-prey System with Diffusion and Time Delay and Non-monotone Functional Response and Impulsive Effect |
|
ZHOU You-jun1,2, QIN Fa-jin2, YAO Xiao-jie2, CAO Liang1
|
| (1.College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China;2.Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China) |
| Abstract: |
| Using the coincidence degree theory, the sufficient condition is obtained for the predator-prey diffusion system with the impulsive effect and the non-monotone functional response have at least four positive periodic solutions. |
| Key words: differential equation predator-prey system impulsive effect functional response periodic solutions coincidence degree |
