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  • Research Article
  • 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:


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 Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Periodic Solution
  • Functional Equation

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Authors’ Affiliations

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