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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

Published: 27 September 2009

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.