Delay-dependent criteria on the global attractivity of Nicholson's blowflies model with patch structure

被引：16

作者：

Jia, Renwei ^{[1
]}

Long, Zhiwen ^{[2
]}

Yang, Mingquan ^{[3
]}

机构：

[1] Hunan Univ Arts & Sci, Coll Math & Computat Sci, Changde 415000, Hunan, Peoples R China

[2] Hunan Inst Humanities Sci & Technol, Coll Math & Finance, Loudi 417000, Hunan, Peoples R China

[3] Jiaxing Univ, Nanhu Coll, Jiaxing 314001, Zhejiang, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 11期

关键词：

Nicholson's blowflies model; global attractivity; patch structure; positive equilibrium point; effect of delay; STABILITY;

D O I：

10.1002/mma.4299

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the effect of delay on the asymptotic behavior of Nicholson's blowflies model with patch structure and multiple time-varying delays. By using the fluctuation lemma and some differential inequality technique, delay-dependent criteria are obtained for the global attractivity of the addressed system. Meanwhile, some numerical examples are given to illustrate the feasibility of the theoretical results. Copyright (c) 2017 John Wiley & Sons, Ltd.

引用

页码：4222 / 4232

页数：11

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