Positive asymptotically almost periodic solutions of an impulsive hematopoiesis model

Peng Chen; Hui-Sheng Ding; Gaston M. N‘Guérékata

doi:10.4067/S0719-06462016000100002

Authors

Peng Chen College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, People‘s Republic of China.
Hui-Sheng Ding College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, People‘s Republic of China.
Gaston M. N‘Guérékata Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, M.D. 21251, USA.

DOI:

https://doi.org/10.4067/S0719-06462016000100002

Keywords:

Almost periodic, asymptotically almost periodic, impulsive, hematopoiesis

Abstract

In this paper, we introduce the notion of impulsive asymptotically almost periodic functions and prove some basic properties of such functions. Then, we discuss the existence and exponential stability of positive asymptotically almost periodic solution for an impulsive hematopoiesis model. An example is given to illustrate our results.