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Cubo (Temuco)

versão On-line ISSN 0719-0646

Cubo vol.18 no.1 Temuco  2016

http://dx.doi.org/10.4067/S0719-06462016000100002 

 

Positive asymptotically almost periodic solutions of an impulsive hematopoiesis model

 

Peng Chen 1, Hui-Sheng Ding 1, Gaston M. N'Guérékata 2

1 College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, People's Republic of China.

2 Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, M.D. 21251, USA. 9972740999@qq.com, dinghs@mail.ustc.edu.cn, Gaston.N'Guerekata@morgan.edu.


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.

Keywords and Phrases: Almost periodic, asymptotically almost periodic, impulsive, hematopoiesis.

2010 AMS Mathematics Subject Classification: 34K14.


RESUMEN

En este artículo, introducimos la noción de funciones impulsivas asintóticamente casi periódicas y probamos algunas propiedades básicas para dichas funciones. Luego, discutimos la existencia y estabilidad exponencial de soluciones positivas asintóticamente casi periódicas para un modelo impulsivo de hematopoyesis. Un ejemplo es dado para ilustrar nuestros resultados.


 

References

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Received: December 2014. Accepted: January 2015.

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