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Pseudo almost periodic dynamics of Nicholson’s blowflies model with patch structure and discontinuous harvesting

  • Zihui Li
  • Zhinan XiaEmail author
  • Dingjiang Wang
Original Paper
  • 61 Downloads

Abstract

In this paper, a class of Nicholson’s blowflies model with patch structure and discontinuous harvesting terms is concerned. Some sufficient criteria are established for the existence, uniqueness and exponential convergence of positive pseudo almost periodic solutions of the model. The working tools are based on the contraction mapping principle, the theory of exponential dichotomy and Lyapunov functions. Moreover, an example is presented to illustrate the main findings.

Keywords

Pseudo almost periodic Nicholson’s blowflies model Patch structure Discontinuous harvesting Exponential convergence 

Mathematics Subject Classification

34A36 35B15 

Notes

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Copyright information

© The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Applied MathematicsZhejiang University of TechnologyHangzhouChina

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