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Stability Analysis of Anti-Periodic Solutions of the Time-Varying Delayed Hematopoiesis Model with Discontinuous Harvesting Terms

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Abstract

This paper is concerned with a time-varying delayed hematopoiesis model with discontinuous harvesting terms. The harvesting terms considered in our hematopoiesis model are discontinuous which are totally different from the previous continuous, Lipschitz continuous or even smooth ones. By means of functional differential inclusions theory, inequality technique and the non-smooth analysis theory with Lyapunov-like approach, some new sufficient criteria are given to ascertain the existence and globally exponential stability of the anti-periodic solution for our proposed hematopoiesis model. Some previously known works are significantly extended and complemented. Moreover, simulation results of two topical numerical examples are also delineated to demonstrate the effectiveness of the theoretical results.

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Acknowledgements

The authors are deeply grateful to the anonymous referees and the editor for their careful reading and correction of some errors, which have greatly improved the quality of the paper. This research was supported by the Talent Foundation of Anhui Normal University (No. 751965).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Anhui Normal University, Wuhu, Anhui, 241000, P.R. China

    Fanchao Kong

  2. Instituto de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, 15782, Spain

    Juan J. Nieto

  3. College of Science, Jiujiang University, Jiujiang, Jiangxi, 332005, P.R. China

    Xiangying Fu

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  1. Fanchao Kong
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Correspondence to Fanchao Kong.

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Kong, F., Nieto, J.J. & Fu, X. Stability Analysis of Anti-Periodic Solutions of the Time-Varying Delayed Hematopoiesis Model with Discontinuous Harvesting Terms. Acta Appl Math 170, 141–162 (2020). https://doi.org/10.1007/s10440-020-00328-8

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