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Pseudo almost periodic solutions for a model of hematopoiesis with a feedback control

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Abstract

In this paper, a generalized model of hematopoiesis is considered with the introduction of a feedback control and continuously distributed delays. By using Lyapunov functional method and differential inequality techniques, we obtain some sufficient conditions for the existence and global exponential stability of positive pseudo almost periodic solutions of this model. We also provide numerical simulations to support the theoretical results.

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Acknowledgments

The author would like to express the sincere appreciation to the editor and reviewers for their helpful comments in improving the presentation and quality of the paper.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde, 415000, Hunan, People’s Republic of China

    Renwei Jia

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  1. Renwei Jia
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Correspondence to Renwei Jia.

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Jia, R. Pseudo almost periodic solutions for a model of hematopoiesis with a feedback control. J. Appl. Math. Comput. 49, 475–491 (2015). https://doi.org/10.1007/s12190-014-0848-4

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  • DOI: https://doi.org/10.1007/s12190-014-0848-4

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