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The Impact of Intervention Strategies on the Dissemination of Monkeypox Utilizing Fractional Differential Equations

Author

Listed:
  • M. Manivel
  • A. Venkatesh
  • Malesela Kekana

Abstract

In this study, we develop a compartmental mathematical model to offer a thorough understanding of the dynamics of monkeypox viral transmission. We examine the sensitivity of the epidemic model to the fundamental reproduction number (R0). We also utilize an expanded Euler technique to scrutinize the dynamics of monkeypox transmission between humans and rodents, exploring the impact of different parameters on the ideal control of infectious disease spread. We examine the sensitivity of the epidemic model to the fundamental reproduction number (R0) and endemic equilibrium, identifying contact rates (γ2, π1) as the most influential factors in disease spread. A sensitivity analysis was performed on endemic equilibrium of infected humans (Im) and the interventions implemented to mitigate its consequences. The results show that transmission rates are the most influential factors in shaping the spread of the disease. The most important factors affecting fundamental reproduction and infectious people, according to our research, were the rates of contact between susceptible and exposed persons, as well as exposure to infected individuals.

Suggested Citation

  • M. Manivel & A. Venkatesh & Malesela Kekana, 2025. "The Impact of Intervention Strategies on the Dissemination of Monkeypox Utilizing Fractional Differential Equations," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:6537565
    DOI: 10.1155/jom/6537565
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    References listed on IDEAS

    as
    1. El-Mesady, A. & Ali, Hegagi Mohamed, 2024. "The influence of prevention and isolation measures to control the infections of the fractional Chickenpox disease model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 606-630.
    2. Jaskirat Pal Singh & Sachin Kumar & Dumitru Baleanu & Kottakkaran Sooppy Nisar, 2023. "Monkeypox Viral Transmission Dynamics And Fractional-Order Modeling With Vaccination Intervention," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-17.
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