New results on global exponential stability for a periodic Nicholson's blowflies model involving time-varying delays

被引：26

作者：

Cao, Qian ^{[1
]}

Wang, Guoqiu ^{[1
]}

Qian, Chaofan ^{[2
,3
]}

机构：

[1] Hunan Normal Univ, Key Lab Comp & Stochast Math, Minist Educ, Coll Math & Stat, Changsha, Hunan, Peoples R China

[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Hunan, Peoples R China

[3] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha, Hunan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Positive periodic solution; Global exponential stability; Time-varying delay; Nicholson's blowflies model; SINGULAR INTEGRAL OPERATOR; NEURAL-NETWORKS; LIMIT-CYCLES; SYSTEMS; EQUATIONS; DYNAMICS; CONTROLLABILITY; ATTRACTORS; EXISTENCE; WAVE;

D O I：

10.1186/s13662-020-2495-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates a periodic Nicholson's blowflies equation with multiple time-varying delays. By using differential inequality techniques and the fluctuation lemma, we establish a criterion to ensure the global exponential stability on the positive solutions of the addressed equation, which improves and complements some existing ones. The effectiveness of the obtained result is illustrated by some numerical simulations.

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页数：12

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