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

Agnes Adom-Konadu; Ebenezer Bonyah; Albert Lanor Sackitey; Martin Anokye; Joshua Kiddy K Asamoah

doi:10.1016/j.health.2023.100191

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

Healthc Anal (N Y). 2023 Nov:3:100191. doi: 10.1016/j.health.2023.100191. Epub 2023 May 9.

Authors

Agnes Adom-Konadu¹, Ebenezer Bonyah^{2

3

4}, Albert Lanor Sackitey¹, Martin Anokye¹, Joshua Kiddy K Asamoah⁵

Affiliations

¹ Department of Mathematics, University of Cape Coast, Cape Coast, Ghana.
² Department of Mathematics Education, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana.
³ Department of Mathematics, Faculty of Science and Technology Universitas Airlangga, Surabaya 60115, Indonesia.
⁴ Department of Mathematics and Applied Mathematics, University of Johannesburg, Johannesburg 2006, South Africa.
⁵ Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.

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.