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

M. Manivel, A. Venkatesh and Malesela Kekana

Journal of Mathematics, 2025, vol. 2025, 1-14

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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6537565

DOI: 10.1155/jom/6537565

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