https://doi.org/10.1140/epjp/s13360-023-04334-1
Regular Article
A study on a monkeypox transmission model within the scope of fractal–fractional derivative with power-law kernel
1
Department of Mathematics, Delta State University, PMB 1, Abraka, Delta State, Nigeria
2
College of Biomedical Engineering, Taiyuan University of Technology, 030024, Taiyuan, Shanxi, China
3
Department of Mathematics, Taiyuan University of Technology, 030024, Taiyuan, Shanxi, China
4
CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, 62490, Cuernavaca, Morelos, Mexico
d
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Received:
4
July
2023
Accepted:
28
July
2023
Published online:
6
August
2023
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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
