A fractional order Monkeypox model with protected travelers using the fixed point theorem and Newton polynomial interpolation

Abstract

This study formulates a Monkeypox model with protected travelers. The fixed point theorem is used to obtain the existence and uniqueness of the solution with Ulam–Hyers stability for the analysis of the solution to the model. The Newton polynomial interpolation scheme is employed to solve an approximate solution of the fractional Monkeypox model. The numerical simulations and the graphical representations suggest that the fractional order affects the dynamics of the Monkeypox. The fractional order shows other underlining transmission trends of the Monkeypox disease. We conclude that the result obtained for each compartment conforms to reality as the fractional order approaches unity.

Keywords

• Monkeypox
• Newton polynomial interpolation
• Simulation
• Ulam–Hyers stability
• Vaccination