Boundary Value Problems
Volume 2009 (2009), Article ID 127510, 10 pages
Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis
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.
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.