A study on a monkeypox transmission model within the scope of fractal-fractional derivative with power-law kernel

This work aims to study the dynamics of a monkeypox infection model within the framework of fractal-fractional derivatives with power-type kernel. We discuss existence of unique solution to the model via fixed point arguments. The stability analysis of the system is verified in the sense of Ulam-Hyers (UH), generalized Ulam-Hyers (GUH), Ulam-Hyers-Rassias (UHR) and generalized Ulam-Hyers-Rassias (GUHR) types. An efficient numerical scheme derived using the Newton interpolation polynomial is deployed to investigate the model dynamics for different values of the fractional-order index and fractal dimensions. The graphically presented numerical illustrations reflect the effects of various values of the fractional-order index and fractal dimensions on the model dynamics. Furthermore, we also demonstrate that immigrants and contaminated environment expose individuals to the monkeypox virus infections.