Open Access

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

Boundary Value Problems20092009:127510

Received: 15 March 2009

Accepted: 30 August 2009

Published: 27 September 2009


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.


Differential EquationPartial Differential EquationOrdinary Differential EquationPeriodic SolutionFunctional Equation

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Authors’ Affiliations

Department of Mathematics and Physical Sciences, Prince Sultan University, Riyadh, Saudi Arabia
Departamento de Análisis Matemático, Universidad de Santiago de Compostela, Santiago de Compostela, Spain
Department of Mathematics, Technical University, Sofia, Bulgaria


© The Author(s). 2009

This article is published under license to BioMed Central Ltd. 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.