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The monkeypox outbreak, which began in the United Kingdom in 2022–2023, has spread to every continent. We use ordinary differential equations to build a nine-compartment mathematical model to investigate the dynamics of monkeypox transmission. The next-generation matrix approach determines the fundamental reproduction numbers ( \(R_0^h\) and \(R_0^a\) for humans and animals, respectively). It was discovered that the values of \(R_0^h\) and \(R_0^a\) determine the presence of two equilibria. This study used vaccination and treatment controls to establish and apply an optimal monkeypox control strategy. The infected averted ratio was used to determine the cost-effectiveness of all control measures.

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Dynamical Study of the Spread of Monkeypox Including Optimal Vaccination and Treatment with Cost-Effectiveness

  • 会议论文

  • 发表日期：

    2025年

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  • Suvankar Majee,
  • Soovoojeet Jana,
  • Tapan Kumar Kar

摘要

The monkeypox outbreak, which began in the United Kingdom in 2022–2023, has spread to every continent. We use ordinary differential equations to build a nine-compartment mathematical model to investigate the dynamics of monkeypox transmission. The next-generation matrix approach determines the fundamental reproduction numbers ( \(R_0^h\) and \(R_0^a\) for humans and animals, respectively). It was discovered that the values of \(R_0^h\) and \(R_0^a\) determine the presence of two equilibria. This study used vaccination and treatment controls to establish and apply an optimal monkeypox control strategy. The infected averted ratio was used to determine the cost-effectiveness of all control measures.