| 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 |
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| 引用本文： | 陈超,黄振坤.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[J].数学研究,2005,38(4):398-402. |
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| 作者姓名： | 陈超 黄振坤 |
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| 作者单位： | 集美大学理学院,福建,厦门,361021 |
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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.
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| 关 键 词： | 反馈控制 全局渐进稳定 Lyapunov函数 概周期解 扩散 |
| 修稿时间： | 2004年12月31 |
Almost Periodic Solution for a Nonautonomous Diffusion Lotka-Volterra Model with Beddington-Deangelis Functional Response and Feedback Controls |
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| Chen Chao,Huang Zhenkun.Almost Periodic Solution for a Nonautonomous Diffusion Lotka-Volterra Model with Beddington-Deangelis Functional Response and Feedback Controls[J].Journal of Mathematical Study,2005,38(4):398-402. |
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| Authors: | Chen Chao Huang Zhenkun |
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| Abstract: | A nonautonomous predator-prey model with BeddingtonDeAngelis functional response and feedback regulation is investigated in this paper,where the prey can diffuse between two pacthes,but for the predator,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. |
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| Keywords: | Feedback controls Globally asymptotic Lyapunov function Almost periodic solution Diffusion |
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