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

Advances in Difference Equations

article

Cao, Qian¹  Wang, Guoqiu¹  Qian, Chaofan² 

[1] Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), College of Mathematics and Statistics, Hunan Normal University;School of Mathematics and Statistics, Changsha University of Science and Technology;Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology

关键词: Positive periodic solution;    Global exponential stability;    Time-varying delay;    Nicholson’s blowflies model;   

DOI  :  10.1186/s13662-020-2495-4

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY