A comprehensive study of monkeypox disease through fractional mathematical modeling
Abstract
This research investigates a fractional-order mathematical model for analyzing the dynamics of Monkeypox (Mpox) disease using the Caputo-Fabrizio derivative. The model incorporates both human and rodent populations, aiming to elucidate the disease's transmission mechanics, which is demonstrated to be more effective than integer-order models in capturing the complex nature of disease spread. The study determines the fundamental reproduction number ($R_{0}$) while assessing the existence and uniqueness of the solutions. Numerical simulations are conducted to validate the model using Adams-Bashforth technique and illustrate the influence of different factors on the progression of the disease. The findings shed light on Mpox control and prevention, emphasizing the importance of fractional calculus in epidemiological modeling.
Keywords
Adams-Bashforth technique, Caputo-Fabrizio derivative, existence and uniqueness, fixed point theorem, monkeypox virus
Ethical Statement
The authors state that this research complies with ethical standards. This research does not involve
either human participants or animals.
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