Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (3): 558-568.

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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

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

CLC Number: 

  • O211.4
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