Modeling the monkeypox infection using the Mittag–Leffler kernel

Abstract This article presents the mathematical formulation for monkeypox infection using Mittag–Leffler kernel. A detailed of fractional-order Atangana-Baleanu derivative is given. The existence and uniqueness results system established. local asymptotical stability disease-free case, when ℛ 0 < 1 {{\mathcal{ {\mathcal R} }}}_{0}\lt 1 , global given > }}}_{0}\gt . backward bifurcation analysis fractional shown. authors give a numerical scheme, solve model, present graphically. Some graphical are shown disease curtailing in USA.