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Global Dynamics and Optimal Control of a Fractional-Order SIV Epidemic Model with Nonmonotonic Occurrence Rate

Author

Listed:
  • Juhui Yan

    (School of Mathematics and Computer Science, Yunnan Minzu University, Yuehua Street No. 2929, Chenggong District, Kunming 650500, China
    These authors contributed equally to this work.)

  • Wanqin Wu

    (School of Mathematics and Computer Science, Yunnan Minzu University, Yuehua Street No. 2929, Chenggong District, Kunming 650500, China
    These authors contributed equally to this work.)

  • Qing Miao

    (School of Mathematics and Computer Science, Yunnan Minzu University, Yuehua Street No. 2929, Chenggong District, Kunming 650500, China
    These authors contributed equally to this work.)

  • Xuewen Tan

    (School of Mathematics and Computer Science, Yunnan Minzu University, Yuehua Street No. 2929, Chenggong District, Kunming 650500, China
    These authors contributed equally to this work.)

Abstract

This paper performs a detailed analysis and explores optimal control strategies for a fractional-order SIV epidemic model, incorporating a nonmonotonic incidence rate. In this paper, the population of vaccinated individuals is included in the disease dynamics model. After proving the non-negative boundedness of the fractional-order SIV model, we focus on analyzing the equilibrium point characteristics of the model, delving into its existence, uniqueness, and stability analysis. In addition, our research includes formulating optimal control strategies specifically aimed at minimizing the number of infections while keeping costs as low as possible. To validate the theoretical findings and uncover the practical efficacy and prospects of control measures in mitigating epidemic spread, numerical simulations are performed.

Suggested Citation

  • Juhui Yan & Wanqin Wu & Qing Miao & Xuewen Tan, 2024. "Global Dynamics and Optimal Control of a Fractional-Order SIV Epidemic Model with Nonmonotonic Occurrence Rate," Mathematics, MDPI, vol. 12(17), pages 1-21, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2735-:d:1469112
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    References listed on IDEAS

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