| 时滞三维顺环捕食系统的周期解和概周期解 |
| |
| 引用本文： | 李锋杰,罗桂烈,刘丙辰.时滞三维顺环捕食系统的周期解和概周期解[J].广西科学,2002,9(1):23-26. |
| |
| 作者姓名： | 李锋杰 罗桂烈 刘丙辰 |
| |
| 作者单位： | 广西师范大学数学与计算机科学学院,桂林市育才路3号,541004 |
| |
| 摘 要： | 讨论一类多个时滞且具“基于比率”HollingⅡ功能性反应的三维顺环捕食被捕食系统，证明了系统的一致持久性，当系统是周期系统，通过构造Liapunov泛函，得到了系统存在唯一的全局吸引的正周期解的充分条件；当系统是概周期系统时，通过Razumikhin函数法，证明了系统存在唯一且一致渐近稳定的正概周期解。
|
| 关 键 词： | 三维顺环捕食系统 时滞 Holling Ⅱ功能性反应 周期解 概周期解 |
| 收稿时间： | 2001/10/8 0:00:00 |
| 修稿时间： | 2001年10月8日 |
Periodic and Almost Periodic Solutions of a Three-dimensional Prey-predator Cyclic Model with Multi Time-delays |
| |
| Li Fengjie,Luo Guilie and Liu Bingchen.Periodic and Almost Periodic Solutions of a Three-dimensional Prey-predator Cyclic Model with Multi Time-delays[J].Guangxi Sciences,2002,9(1):23-26. |
| |
| Authors: | Li Fengjie Luo Guilie and Liu Bingchen |
| |
| Institution: | Math. & Comp. Sci. College, Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004, China,Math. & Comp. Sci. College, Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004, China and Math. & Comp. Sci. College, Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004, China |
| |
| Abstract: | A three dimensional prey predator cyclic system with ratio dependent Holling II functional response and time delays is discussed By the Liapunov function method and Razumikhin function method,we proved the uniformly persistence of the system,the existence of a unique positive periodic solution which is globally attractive and a unique positive almost periodic solution which is uniformly asymptotically stable |
| |
| Keywords: | |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《广西科学》浏览原始摘要信息 |
| 点击此处可从《广西科学》下载免费的PDF全文 |
|
