数学物理学报 ›› 2016, Vol. 36 ›› Issue (3): 558-568.

• 论文 • 上一篇    下一篇

一类具反馈控制的时滞飞蝇方程的伪概周期解

黄祖达   

  1. 湖南文理学院数学与计算科学学院 湖南常德 415000
  • 收稿日期:2015-10-25 修回日期:2016-04-23 出版日期:2016-06-26 发布日期:2016-06-26
  • 作者简介:黄祖达,huangzuda2009@aliyun.com
  • 基金资助:

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

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

Huang Zuda   

  1. College of Mathematics and Computational Science, Hunan University of Arts and Science, Hunan Changde 415000
  • Received:2015-10-25 Revised:2016-04-23 Online:2016-06-26 Published:2016-06-26
  • Supported by:

    Supported by the Natural Science Foundation of Hunan Province (2016JJ6103, 2016JJ6104) and the Construction Program of the Key Disipline in Hunan University of Arts and Science-Applied Mathematics

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.

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

Abstract:

In this paper, a generalized Nicholson's blowflies model is considered with the introduction 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.

Key words: Positive pseudo almost periodic solution, Global exponential stability, Nicholson's blowflies model, Feedback control, Time-varying delay

中图分类号: 

  • O211.4