A comprehensive study of monkeypox disease through fractional mathematical modeling

Mathematical Modelling and Numerical Simulation with Applications, Год журнала: 2025, Номер 5(1), С. 65 - 96

Опубликована: Март 31, 2025

This research investigates a fractional-order mathematical model for analyzing the dynamics of Monkeypox (Mpox) disease using Caputo-Fabrizio derivative. The incorporates both human and rodent populations, aiming to elucidate disease's transmission mechanics, which is demonstrated be more effective than integer-order models in capturing complex nature spread. study determines fundamental reproduction number ($R_{0}$) while assessing existence uniqueness solutions. Numerical simulations are conducted validate Adams-Bashforth technique illustrate influence different factors on progression disease. findings shed light Mpox control prevention, emphasizing importance fractional calculus epidemiological modeling.

Язык: Английский

Coincidence degree theory for higher order nonlinear fractional differential equations: Existence and uniqueness results

Communications in Nonlinear Science and Numerical Simulation, Год журнала: 2025, Номер unknown, С. 108847 - 108847

Опубликована: Апрель 1, 2025

Язык: Английский