Almost periodic solutions of a single-species system with feedback control on time scales

Advances in Difference Equations

Meng Hu¹  Haiyan Lv² 

[1] School of Mathematics and Statistics, Anyang Normal University, Anyang, People’s Republic of China

关键词: permanence;    almost periodic solution;    global attractivity;    time scale;   

DOI  :  10.1186/1687-1847-2013-196

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with a single-species system with feedback control on time scales. Based on the theory of calculus on time scales, by using the properties of almost periodic functions and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the existence of a unique globally attractive positive almost periodic solution of the system are obtained. Finally, an example and numerical simulations are presented to illustrate the feasibility and effectiveness of the results.

【 授权许可】

CC BY