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

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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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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Keywords

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