| 引用本文： |
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汪灵枝,姚晓洁,秦发金.具分布时滞和扩散的非自治Holling Ⅲ捕食系统的周期解与概周期解[J].广西科学院学报,2005,(3):135-140,143. [点击复制]
- Wang Lingzhi,Yao Xiaojie,Qin Fajin.Periodic and Almost Periodic Solutions of Nonautonomous Diffusive Prey-Predator Systems with Distributed Time Delay and Holling Type Ⅲ Functional Response[J].Journal of Guangxi Academy of Sciences,2005,(3):135-140,143. [点击复制]
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| 摘要: |
| 研究一类具有分布时滞和Holling类功能反应的非自治捕食扩散系统,利用微分不等式和Liapunov函数方法,得到该系统一致持久性及存在唯一全局渐近稳定的周期解和概周期解的充分条件. |
| 关键词: 捕食扩散系统 分布时滞 Holling Ⅲ类功能反应 周期解 概周期解 全局渐近稳定性 |
| DOI： |
| 投稿时间：2005-03-18 |
| 基金项目: |
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| Periodic and Almost Periodic Solutions of Nonautonomous Diffusive Prey-Predator Systems with Distributed Time Delay and Holling Type Ⅲ Functional Response |
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Wang Lingzhi, Yao Xiaojie, Qin Fajin
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| (Dept. of Math. and Comp. Sci., Liuzhou Teachers Coll., Liuzhou, Guangxi, 545004, China) |
| Abstract: |
| The nonautonomous diffusive prey-predator systems with distributed time delay and Holling type Ⅲ functional response are discussedwith the help of differential inequality and Lyapunov function. We get the sufficient condition that the system has a unique positive periodic solution and positive almost periodic solution which is global asymptotically stable. |
| Key words: prey-predator and diffusion systems distributed time delay Holling type Ⅲ functional response periodic solution almost periodic solution global asymptotic stability |
