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<p>This paper proposes a periodic hematopoiesis model with a nonlinear density-dependent mortality term from the perspective of biological modeling. Employing rigorous analytical skills and Lyapunov functional approach, some new criteria are set up for the existence and global exponential stability of positive periodic solutions for the considered model. Finally, a numerical example is provided to confirm the rationality of the theoretical results. The acquired main results complement and enrich the conclusions in the existing literature.</p>

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Stability of a delayed periodic hematopoiesis model with nonlinear density-dependent mortality term

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月14日

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  • Qian Wang,
  • Nan Sun,
  • Lian Duan

摘要

This paper proposes a periodic hematopoiesis model with a nonlinear density-dependent mortality term from the perspective of biological modeling. Employing rigorous analytical skills and Lyapunov functional approach, some new criteria are set up for the existence and global exponential stability of positive periodic solutions for the considered model. Finally, a numerical example is provided to confirm the rationality of the theoretical results. The acquired main results complement and enrich the conclusions in the existing literature.