Dynamic behaviors for a delay Lasota–Wazewska model with feedback control on time scales

Advances in Difference Equations

Xiaoying Chen¹  Chunling Shi¹  Danhong Wang² 

[1] Department of Computer Engineering, Fuzhou University Zhicheng College;Department of Mathematics, Minjiang University;

关键词: Lasota–Wazewska model;    Time scales;    Feedback control;    Exponential dichotomy;    Permanence;   

DOI  :  10.1186/s13662-019-2483-8

来源: DOAJ

【 摘 要 】

Abstract In this paper, a delay Lasota–Wazewska system with feedback control on time scales is proposed. Firstly, by using some differential inequalities on time scales, sufficient conditions which ensure the permanence of the system are obtained. Secondly, by means of the fixed point theory and the exponential dichotomy of linear dynamic equations on time scales, some sufficient conditions for the existence of unique almost periodic solution are obtained. Moreover, exponential stability of the almost periodic positive solution is investigated by applying the Gronwall inequality. Finally, numeric simulations are carried out to show the feasibility of the main results.

【 授权许可】

Unknown