Mathematical Biosciences and Engineering (Apr 2019)

A new method to investigate almost periodic solutions for an Nicholson’s blowflies model with time-varying delays and a linear harvesting term

  • Changjin Xu,
  • Maoxin Liao,
  • Peiluan Li,
  • Qimei Xiao,
  • Shuai Yuan

DOI
https://doi.org/10.3934/mbe.2019189
Journal volume & issue
Vol. 16, no. 5
pp. 3830 – 3840

Abstract

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In this paper, a delayed Nicholsonos blowflies model with a linear harvesting term is investigated. By transforming the model into an equivalent integral equation, and applying a fixed point theorem inc ones, we establish a sufficient condition which ensure the existence of positive almost periodic solutions for the Nicholsonos blowflies model. The results of this paper are completely new and complement those of the previous studies. The approach is new.

Keywords