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Almost Periodic Solutions for Two Non-instantaneous Impulsive Biological Models

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Abstract

This paper investigates two non-instantaneous impulsive biological models. First, a non-instantaneous impulsive hematopoiesis model with pure delay and a non-instantaneous impulsive n-dimensional biological model with pure delay have been proposed. Next, the existence and uniqueness of almost periodic solutions for these two models are proved by us respectively. Then, we prove that all solutions converge exponentially to the positive almost periodic solution respectively. Finally, some simulations are given to show the effectiveness of the theoretical results.

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Acknowledgements

The authors are grateful to the referees for their careful reading of the manuscript and valuable comments. The authors thank the help from the editor too.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People’s Republic of China

    Rui Ma, JinRong Wang & Mengmeng Li

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  1. Rui Ma
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  2. JinRong Wang
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  3. Mengmeng Li
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Correspondence to JinRong Wang or Mengmeng Li.

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This work is partially supported by the National Natural Science Foundation of China (12161015), Training Object of High Level and Innovative Talents of Guizhou Province ((2016)4006), Major Project of Guizhou Postgraduate Education and Teaching Reform (YJSJGKT[2021]041). Guizhou Data Driven Modeling Learning and Optimization Innovation Team ([2020]5016)

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Ma, R., Wang, J. & Li, M. Almost Periodic Solutions for Two Non-instantaneous Impulsive Biological Models. Qual. Theory Dyn. Syst. 21, 84 (2022). https://doi.org/10.1007/s12346-022-00603-z

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