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

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 ( R 0 ). 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 ( R 0 ) and endemic equilibrium, identifying contact rates ( γ 2 , π 1 ) as the most influential factors in disease spread. A sensitivity analysis was performed on endemic equilibrium of infected humans ( I m ) 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.