| 引用本文： |
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刘琼.具HollingⅢ类功能反应和放养的食物链扩散系统的周期解[J].广西科学,2003,10(3):183-186,191. [点击复制]
- Liu Qiong.Periodic Solution of Food Chain of the Holling's TypeⅢ Function Response and Prey Supplement with Diffusion[J].Guangxi Sciences,2003,10(3):183-186,191. [点击复制]
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| 摘要: |
| 讨论一类具Holling类功能反应和放养的捕食链非自治扩散系统,应用极值原理和不动点定理及V函数法,得到该系统的一致持久性以及存在唯一全局渐近稳定周期解的充分条件. |
| 关键词: 食物链扩散系统 持续性 周期解 不动点定理 V函数法 |
| DOI： |
| 投稿时间：2003-04-02修订日期：2003-06-23 |
| 基金项目: |
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| Periodic Solution of Food Chain of the Holling's TypeⅢ Function Response and Prey Supplement with Diffusion |
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Liu Qiong
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| (Dept. of Math. and Comp. Sci., Qinzhou Teacher's College, Qinzhou, Guangxi, 535000, China) |
| Abstract: |
| A nonautonomous Lotke-Volterra model of Holling's Type Ⅲ Function response with diffusion is studied.The sufficient conditions for guaranteeing the permanence of the system and the existence and uniqueness of periodic solution having globally asymptotical stability are obtained by using the extremum principle,fixed point theorem and V function methods together. |
| Key words: food chain diffusion system permanence periodic solution fixed-point theorem V function method |
