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

被引：0
作者：
Wang Z. [1 ,2 ]
Xiang Z. [1 ,2 ]
Yang C. [1 ,2 ]
机构：
[1] Department of Mathematics and Computer Science, Changsha University, Changsha
[2] Library of Changsha University, Changsha
来源：
International Journal of Applied Decision Sciences | 2021年 / 14卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Existence; Global asymptotic stability; Nicholson's blowflies model; Numerical algorithm;
D O I：
10.1504/IJADS.2021.116039
中图分类号：
学科分类号：
摘要：
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. Copyright © 2021 Inderscience Enterprises Ltd.
引用
收藏
页码：443 / 460
页数：17
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