Title: Global stability problem of time-delayed Nicholson's blowflies model for pseudo almost periodic solutions

Authors: Zeying Wang; Zhaohong Xiang; Chao Yang

Addresses: Department of Mathematics and Computer Science, Changsha University, Changsha 410022, China; Library of Changsha University, Changsha University, Changsha 410022, China ' Department of Mathematics and Computer Science, Changsha University, Changsha 410022, China; Library of Changsha University, Changsha University, Changsha 410022, China ' Department of Mathematics and Computer Science, Changsha University, Changsha 410022, China; Library of Changsha University, Changsha University, Changsha 410022, China

Abstract: This brief investigates the existence and stability issue of the pseudo almost periodic solutions of time-delayed Nicholson's blowflies model (simply expressed as NB model). Firstly, we give an important result about the existence for the pseudo almost periodic solutions of the model via the pseudo almost periodic theories, the generalised Lyapunov methods and numerical algorithms. Secondly, we can ensure the asymptotic stability and global asymptotic stability of the pseudo almost periodic solutions of the considered model. Moreover, we deeply analyse the influence of initial desiring values and practical significance of the model. Finally, the benefits of the proposed control approach and the theoretical results are demonstrated by numerical example.

Keywords: Nicholson's blowflies model; existence; global asymptotic stability; numerical algorithm.

DOI: 10.1504/IJADS.2021.116039

International Journal of Applied Decision Sciences, 2021 Vol.14 No.4, pp.443 - 460

Received: 09 Dec 2019
Accepted: 22 Mar 2020
Published online: 06 Jul 2021 *

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