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具有反馈控制的Lotka-Volterra系统的持久性
引用本文:程永玲. 具有反馈控制的Lotka-Volterra系统的持久性[J]. 太原师范学院学报(自然科学版), 2014, 0(1): 29-31
作者姓名:程永玲
作者单位:山西大学商务学院基础教学部,山西太原030031
摘    要:讨论一类具有纯时滞及反馈控制的非自治Lotka-Volterra竞争系统,通过构造Lyapunov函数,得到系统持久的均值条件,并将相关结果推广到时滞系统.

关 键 词:纯时滞  反馈控制  持久性  Lyapunov函数

The Permanence of Lotka-Volterra Systems with Feedback Controls
Cheng Yongling. The Permanence of Lotka-Volterra Systems with Feedback Controls[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2014, 0(1): 29-31
Authors:Cheng Yongling
Affiliation:Cheng Yongling (Business College of Shanxi University, Department of Science, Taiyuan 030031, China)
Abstract:To consider the nonautonomous Lotka-Volterra competitive systems with puredelay and feedback controls. The average conditions on the coefficients are obtained to guarantee the systems are permanence by constructing proper Lyapunov function. These results generalized correlation of results to systems with delays.
Keywords:pure delay  feedback controls  permanence  Lyapunov function
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