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

Boundary Value Problems volume 2009, Article number: 127510 (2009) Cite this article

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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Authors and Affiliations

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

    JO Alzabut

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

    JJ Nieto

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

    GTr Stamov

Authors
  1. JO Alzabut
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  2. JJ Nieto
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  3. GTr Stamov
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Correspondence to JO Alzabut.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Alzabut, J., Nieto, J. & Stamov, G. Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis. Bound Value Probl 2009, 127510 (2009). https://doi.org/10.1155/2009/127510

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  • DOI: https://doi.org/10.1155/2009/127510

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