| 一类具有阶段结构的非自治捕食者—食饵系统的研究 |
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| 引用本文： | 肖琨,唐清干,王海峰.一类具有阶段结构的非自治捕食者—食饵系统的研究[J].桂林电子科技大学学报,2009,29(5). |
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| 作者姓名： | 肖琨 唐清干 王海峰 |
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| 作者单位： | 桂林电子科技大学,数学与计算科学学院,广西,桂林,541004 |
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| 摘 要： | 通过利用微分方程定性理论,证明一类具有阶段结构的非自治食饵-捕食者模型解的系统,在适当条件下是持久的.针对模型的周期系统,利用泛函分析的Brouwer不动点定理和构造Lyapunov泛函的方法,证明该系统正周期解存在且全局渐近稳定的充分条件;对更具普遍意义的概周期现象,得到了概周期正解存在且全局渐近稳定的充分条件.
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| 关 键 词： | 捕食系统 阶段结构 一致持续生存 周期解 概周期解 |
A predator-prey system with nonautonomous stage-structure |
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| XIAO Kun,TANG Qing-gan,WANG Hai-feng.A predator-prey system with nonautonomous stage-structure[J].Journal of Guilin Institute of Electronic Technology,2009,29(5). |
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| Authors: | XIAO Kun TANG Qing-gan WANG Hai-feng |
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| Affiliation: | XIAO Kun,TANG Qing-gan,WANG Hai-feng (School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China) |
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| Abstract: | In this paper,a predator-prey model with nonautonomous stage-structure was studied.It is proved by differential equationqualitative theory that the system was permanent under proper conditions.By Brouwer fixed point theory and constructing a suitable sufficient,Lyapunov function,the sufficient conditions were established for the global asymptotic stability of the periodic solution for the periodic system of the model.With respect to the general almost periodic system,we obtained the sufficient conditions fo... |
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| Keywords: | prey-predator stage structure uniform persistence periodic solution almost periodic solution |
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