New results on global asymptotic stability for a nonlinear density-dependent mortality Nicholson’s blowflies model with multiple pairs of time-varying delays

Journal of inequalities and applications

article

Qian Cao¹  Guoqiu Wang²  Hong Zhang¹  Shuhua Gong³ 

[1] College of Mathematics and Physics, Hunan University of Arts and Science;Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), College of Mathematics and Statistics, Hunan Normal University;College of Mathematics, Physics and Information Engineering, Jiaxing University

关键词: Nicholson’s blowflies model;    Global asymptotic stability;    Multiple pairs of time-varying delay;    Nonlinear density-dependent mortality term;   

DOI  :  10.1186/s13660-019-2277-2

学科分类：电力

来源: SpringerOpen

【 摘 要 】

This paper is concerned with a class of Nicholson’s blowflies model involving nonlinear density-dependent mortality terms and multiple pairs of time-varying delays. By using differential inequality techniques and the fluctuation lemma, we establish a delay-independent criterion on the global asymptotic stability of the addressed model, 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