Solving Fractional-Order Monkeypox Model by New Numircal Methods

In more recent years, the number of cases of monkeypox illness has progressively risen, and the anticipated geographic scope of outbreaks in human populations have expanded as well. This work suggests a novel fractional-order variant of one of the Susceptible-Exposed-Infectious-Recovered models in light of these factors (or SEIR models). To discover certain theoretical findings about the fundamental reproduction number, this model, which is formulated in the sense of a Caputo fractional differentiator, is first examined. The suggested model is then numerically solved using a fresh, modern variation of the fractional Euler approach known as Improved Modified Fractional Euler Method 1 and 2 (IMFEM1, IMFEM2). For completeness, more numerical simulations are provided after that.