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Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting Term

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  • Hui Zhou
  • Wen Wang
  • Zongfu Zhou

Abstract

A generalized model of Hematopoiesis with infinite time delays and a nonlinear harvesting term is investigated. By utilizing a fixed point theorem of the differential equations and constructing a suitable Lyapunov functional, we establish some conditions which guarantee the existence of a unique positive almost periodic solution and the exponential convergence of the system. Finally, we give an example to illustrate the effectiveness of our results.

Suggested Citation

  • Hui Zhou & Wen Wang & Zongfu Zhou, 2013. "Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting Term," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, October.
    • Handle: RePEc:hin:jnlaaa:146729
    DOI: 10.1155/2013/146729
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