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This article is part of the series Singular Boundary Value Problems for Ordinary Differential Equations.

Open Access Research Article

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

JO Alzabut1*, JJ Nieto2 and GTr Stamov3

Author Affiliations

1 Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

2 Departamento de Análisis Matemático, Universidad de Santiago de Compostela, Santiago de Compostela 15782, Spain

3 Department of Mathematics, Technical University, Sofia, 8800 Sliven, Bulgaria

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Boundary Value Problems 2009, 2009:127510  doi:10.1155/2009/127510


The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2009/1/127510


Received:15 March 2009
Revisions received:28 June 2009
Accepted:30 August 2009
Published:27 September 2009

© 2009 The Author(s).

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.

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