A fractional mathematical model for vaccinated humans with the impairment of Monkeypox transmission

Abstract

This research develops a comprehensive numerical model leveraging fuzzy fractional differential equations to analyze the transmission dynamics of the Monkeypox virus. Using Caputo’s fuzzy fractional differential equations, we construct a dynamical model for Monkeypox vaccination in humans. The importance of fuzzy fractional differential equations lies in their ability to provide a more accurate representation of the transmission dynamics due to their non-local properties, which capture memory and hereditary effects inherent in the spread of infectious diseases. Our numerical simulations highlight how vaccination significantly curbs disease spread, demonstrating the practical application of fuzzy fractional techniques in epidemiology. The study underscores the necessity of these advanced mathematical tools in capturing the complex dynamics of Monkeypox transmission, paving the way for more effective control strategies.