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New results on global exponential stability of almost periodic solutions for a delayed Nicholson blowflies model

Volume 113 / 2015

Bingwen Liu Annales Polonici Mathematici 113 (2015), 191-208 MSC: 34C25, 34K13. DOI: 10.4064/ap113-2-6

Abstract

This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays, which is defined on the nonnegative function space. Under appropriate conditions, we establish some criteria to ensure that all solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give an example with numerical simulations to illustrate our main results.

Authors

  • Bingwen LiuCollege of Mathematics and Computer Science
    Hunan University of Arts and Science
    Changde, Hunan 415000, P.R. China
    e-mail

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