Work

A comprehensive study of monkeypox disease through fractional mathematical modeling

Year: 2025

Type: article

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.

Source: Mathematical Modelling and Numerical Simulation with Applications

DOI: 10.53391/mmnsa.1571609

Authors: M. Manivel, A. Venkatesh, Shyamsunder Kumawat

Institutions: Bharathidasan University, A. Veeriya Vandayar Memorial Sri Pushpam College, SRM University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: hybrid

OpenAlex ID: W4409012235

FWCI: 9.916

Cites: 18

Cited by: 12

Related to: 10