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具有反馈控制和Beddington-DeAngelis功能性反应的非自治扩散模型的概周期解 被引量：1

Almost Periodic Solution for a Nonautonomous Diffusion Lotka-Volterra Model with Beddington-Deangelis Functional Response and Feedback Controls
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摘要 讨论了一类具有反馈控制和B edd ington-D eA ngelis功能性反应的非自治捕食-食饵扩散模型,其中食饵可以在两个斑块有限制地扩散,但对捕食者来说,斑块间的扩散不受限制.本文结合运用Lyapunov函数,得到该模型存在唯一的全局渐进稳定的正概周期解的条件. A nonautonomous predator-prey model with Beddington-DeAngelis functional response and feed- back regulation is investigated in this paper, where the prey can diffuse between two pacthes, but for the predatot, the diffusion does not involve a barrior between patches. It is proved that the system can have a strictly positive periodic solution which is globally asymptotically stable by using Lyapunov function.
作者 陈超 黄振坤
机构地区 集美大学理学院
出处 《数学研究》 CSCD 2005年第4期398-402,共5页 Journal of Mathematical Study
关键词 反馈控制 全局渐进稳定Lyapunov函数 概周期解 扩散 Feedback controls Globally asymptotic Lyapunov function Almost periodic solution Diffusion.
分类号 O175.29 [理学—基础数学]
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参考文献5

二级参考文献16

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共引文献31

同被引文献9

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数学研究
2005年 第4期

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