| 基于反馈控制离散Lotka-Volterra竞争模型的持续生存和稳定性 |
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| 引用本文： | 周凤燕. 基于反馈控制离散Lotka-Volterra竞争模型的持续生存和稳定性[J]. 生物数学学报, 2010, 0(2): 225-232 |
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| 作者姓名： | 周凤燕 |
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| 作者单位： | 绍兴文理学院数学系,浙江绍兴312000 |
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| 基金项目： | 国家自然科学基金重点资助项目（60234010）;绍兴文理学院重点资助项目[2008] |
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| 摘 要： | 针对一类具有偏离自变量的离散Lotka-Volterra竞争模型,考虑到不可避免的外界扰动,通过引入反馈控制,基于一定的分析技巧得到该系统持久性与全局稳定性的充分条件.生态意义上表明:在外界扰动下,具有偏离自变量的离散Lotka-Volterra竞争模型仍能持续生存并保持全局稳定发展.
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| 关 键 词： | Lotka-Volterra模型 离散 反馈控制 持久性 全局稳定性 |
Permanence and Stability in a Discrete Lotka-Volterra Competition Model with Feedback Controls |
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| ZHOU Feng-yan. Permanence and Stability in a Discrete Lotka-Volterra Competition Model with Feedback Controls[J]. Journal of Biomathematics, 2010, 0(2): 225-232 |
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| Authors: | ZHOU Feng-yan |
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| Affiliation: | ZHOU Feng-yan (Department of Mathematicas, Shaoxing University, Shaoxing Zhejiang 312000 China) |
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| Abstract: | Considering a class of discrete Lotka-Volterra competitive model with deviating arguments and external perturbation, some sufficient conditions are given to guarantee the persistence and global stability of the system by feedback control and some analysis techniques. Biologically, it means that the discrete Lotka-Volterra competitive model will persist and develop stablely. |
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| Keywords: | Lotka-Volterra model Discrete Feedback controls Permanence Global stability |
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