| 引用本文： |
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刘丙辰,罗桂烈,李锋杰.时滞竞争捕食扩散系统的周期解与概周期解的存在唯一性[J].广西科学,2002,9(2):93-98. [点击复制]
- Liu Bingchen,Luo Guilie,Li Fengjie.Existence and Uniqueness of the Periodic,Almost Periodic Solutions of a Prey-Predator and Competition System with Diffusion[J].Guangxi Sciences,2002,9(2):93-98. [点击复制]
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| 摘要: |
| 讨论在两斑块生态环境下,具有有关文献中Cosner型功能性反应的竞争捕食扩散系统.在一定条件下实现了系统的一致持久性.通过构造V泛函,得到了正概周期解的存在唯一性、全局吸引性和在壳扰动下的稳定性. |
| 关键词: 时滞竞争捕食扩散系统 周期解 概周期解 V泛函 存在唯一性 |
| DOI： |
| 投稿时间：2001-12-06修订日期：2002-02-21 |
| 基金项目: |
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| Existence and Uniqueness of the Periodic,Almost Periodic Solutions of a Prey-Predator and Competition System with Diffusion |
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Liu Bingchen, Luo Guilie, Li Fengjie
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| (College of Math. and Comp. Sci. Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004, China) |
| Abstract: |
| A competition and prey-predator model with diffusion is considered. By using the V funtional and the definition of almost periodic solution and the stability under the disturbance from the hull,the existence,uniqueness and their stability of periodic and almost periodic solutions are obtained. |
| Key words: prey-predator and competition system with diffusion periodic solution almost periodic solution V funtional existence and uniqueness |
