| 引用本文： |
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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. [点击复制]
- Li Fengjie,Luo Guilie,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. [点击复制]
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| 摘要: |
| 讨论一类含多个时滞且具"基于比率"Holling Ⅱ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 |
| DOI： |
| 投稿时间：2001-10-08 |
| 基金项目: |
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| Periodic and Almost Periodic Solutions of a Three-dimensional Prey-predator Cyclic Model with Multi Time-delays |
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Li Fengjie, Luo Guilie, Liu Bingchen
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| (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. |
| Key words: three-dimensional pre-predator cyclic model time-delays Holling Ⅱ functional response periodic solusion almost periodic solution |
