| 引用本文： |
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刘丙辰,罗桂烈,李锋杰.时滞阶段结构捕食系统概周期正解的存在唯一性[J].广西科学,2002,9(4):262-264. [点击复制]
- Liu Bingchen,Luo Guilie,Li Fengjie.Existence and Uniqueness of the Almost Periodic Solution of a Prey-predator Stage-structure Model with Time-delay[J].Guangxi Sciences,2002,9(4):262-264. [点击复制]
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| 摘要: |
| 讨论一类具有基于比率型Holling Ⅲ型功能性反应且含时滞的阶段结构的捕食被捕食模型。通过利用比较原理,得到了系统一致持久性;通过构造Razumikhin函数,得到了系统存在唯一且一致渐近稳定的正概周期解的条件。 |
| 关键词: 捕食系统 时滞阶段结构捕食系统 概周期解 |
| DOI： |
| 投稿时间：2002-03-12 |
| 基金项目: |
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| Existence and Uniqueness of the Almost Periodic Solution of a Prey-predator Stage-structure Model with Time-delay |
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Liu Bingchen, Luo Guilie, Li Fengjie
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| (College of Math. and Comp. Sci. Guangxi Normal University, 3 Yucailu, Guilin, Guangxi, 541004, China) |
| Abstract: |
| A nonautonomous stage-structured prey-predator model with time-delays and ratio dependent Holling Ⅲ functional response is discussed.By the comparison theorem,the system in this paper is uniformly persistent.The conditions of the existence and uniqueness of the positive almost periodic solution which is uniformly asymptotically stable are obtained by the Razumikhin function method. |
| Key words: prey-predator system prey-predator stage-structure model with time-delay almost periodic solution |
