Global exponential stability of positive periodic solutions for a delayed Nicholson's blowflies model

被引：63

作者：

Liu, Bingwen ^{[1
]}

机构：

[1] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 412卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Global exponential stability; Time-varying delay; Positive periodic solution; Nicholson's blowflies model; ATTRACTIVITY; POPULATION; PERMANENCE; EXISTENCE; SYSTEM;

D O I：

10.1016/j.jmaa.2013.10.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a non-autonomous delayed Nicholson's blowflies model. Under proper conditions, we employ :a novel argument to establish a criterion on the global exponential stability of positive periodic solutions. This answers an open problem proposed by Berezansky et al. (2010) [2]. We also provide numerical simulations to support the theoretical result. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：212 / 221

页数：10

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