Almost periodic solution of a delayed Nicholson's blowflies model with feedback control

Abstract

In this paper, we study the problem of positive almost periodic solutions for the Nicholson’s blowflies mode with feedback control and multiple time-varying delays. By applying the properties of almost periodic function and exponential dichotomy of linear system as well as fixed point theorem, we establish the conditions for the existence uniqueness and exponential convergence of the positive almost periodic solution of the equations. Moreover, an example and its numerical simulation are given to illustrate our main results.