一类具反馈控制的时滞飞蝇方程的伪概周期解  

Positive Pseudo Almost Periodic Solutions for a Delayed Nicholson's Blowflies Model with a Feedback Control

作　　者：黄祖达[1] 

机构地区：[1]湖南文理学院数学与计算科学学院,湖南常德415000

出　　处：《数学物理学报（A辑）》2016年第3期558-568,共11页Acta Mathematica Scientia

基　　金：湖南省自然科学基金(2016JJ6103;2016JJ6104);湖南文理学院重点建设学科项目(应用数学)资助~~

摘　　要：该文研究了一类具反馈控制和多时变时滞的飞蝇方程模型.利用李雅普洛夫泛函方法和微分不等式技巧,得到了该类模型正伪概周期解存在性和全局稳定性的若干充分条件,并给出了数值模拟实例来说明相应理论结果的有效性.In this paper, a generalized Nicholson＇s blowflies model is considered with the in- troduction of feedback control and multiple time-varying delays. By using Lyapunov functional method and differential inequality techniques, we obtain some sufficient conditions for the existence and global exponential stability of positive pseudo almost periodic solutions of this model. We also provide numerical simulations to support the theoretical results.

关 键 词：伪概周期正解 全局稳定性 飞蝇方程模型 反馈控制 时变时滞 

分 类 号：O211.4[理学—概率论与数理统计]