Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments

Journal of inequalities and applications

article

Chaofan Qian¹  Yuhui Hu³ 

[1] School of Mathematics and Statistics, Changsha University of Science and Technology;Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering;College of Mathematics and Information Science, Jiangxi Normal University

关键词: Nicholson’s blowflies system;    Asymptotically almost periodic solution;    Nonlinear density-dependent mortality;    Global attractivity;   

DOI  :  10.1186/s13660-019-2275-4

学科分类：电力

来源: SpringerOpen

【 摘 要 】

In this paper, we consider nonlinear density-dependent mortality Nicholson’s blowflies system involving patch structures and asymptotically almost periodic environments. By developing an approach based on differential inequality techniques coupled with the Lyapunov function method, some criteria are demonstrated to guarantee the global attractivity of the addressed systems. Finally, we give a numerical example to illustrate the effectiveness and feasibility of the obtain results.

【 授权许可】

CC BY