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Abstract
Monkeypox is an emerging zoonotic disease, similar to smallpox, causing fever, rash, and swollen lymph nodes, transmitted through contact with infected animals, humans, or materials. In this paper, we focus on the new mathematical model of the monkeypox virus, which builds upon the epidemiological framework that categorized as susceptible S(t), asymptomatic infected cases E(t), infected I(t), infected individuals who are hospitalized Q(t), and recovered R(t) populations. To deal with the system of nonlinear differential equations and to produce a semi-analytical solution for the monkeypox virus model, Daftardar-Jafari method (DJM) was used. The DJM approach provided highly accurate approximate solutions compared to numerical simulations, demonstrating its efficiency and accuracy. The DJM’s iterative approach allows for the continuous development of solutions to differential equations that capture disease dynamics, offering insights into the complex interactions among individuals in a population and the progression of infectious diseases. Furthermore, by varying model parameters, we explored their impact on the various compartments, gaining valuable insights into the behavior of the model under different conditions. This analysis is essential for understanding how changes in transmission rates, recovery rates, and other factors influence the monkeypox virus’s overall dynamics, ultimately informing better public health strategies and disease management practices.
Published Version
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