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

Xiaoying Chen

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.

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Published: 2015-04-06

How to Cite this Article:

Xiaoying Chen, Almost periodic solution of a delayed Nicholson's blowflies model with feedback control, Communications in Mathematical Biology and Neuroscience, Vol 2015 (2015), Article ID 10

Copyright © 2015 Xiaoying Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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