Boundary Value Problems
Volume 2009 (2009), Article ID 127510, 10 pages
doi:10.1155/2009/127510
Research Article

Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis

J. O. Alzabut,1 J. J. Nieto,2 and G. Tr. Stamov3

1Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
2Departamento de Análisis Matemático, Universidad de Santiago de Compostela, Santiago de Compostela 15782, Spain
3Department of Mathematics, Technical University, Sofia, 8800 Sliven, Bulgaria

Received 15 March 2009; Revised 28 June 2009; Accepted 30 August 2009

Academic Editor: Donal O'Regan

Copyright © 2009 J. O. Alzabut et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By employing the contraction mapping principle and applying Gronwall-Bellman's inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solution for nonlinear impulsive delay model of hematopoiesis.