Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Fractional Order Mathematical Modelling of HFMD Transmission via Caputo Derivative

Version 1 : Received: 14 December 2023 / Approved: 15 December 2023 / Online: 15 December 2023 (11:08:01 CET)

A peer-reviewed article of this Preprint also exists.

Mohandoss, A.; Chandrasekar, G.; Meetei, M.Z.; Msmali, A.H. Fractional Order Mathematical Modelling of HFMD Transmission via Caputo Derivative. Axioms 2024, 13, 213, doi:10.3390/axioms13040213. Mohandoss, A.; Chandrasekar, G.; Meetei, M.Z.; Msmali, A.H. Fractional Order Mathematical Modelling of HFMD Transmission via Caputo Derivative. Axioms 2024, 13, 213, doi:10.3390/axioms13040213.

Abstract

In this paper, we propose to explore a nonlinear fractional mathematical model of HFMD- Hand Foot Mouth Disease with vaccinated compartment. Firstly, we prove the non negativity and boundedness for the fractional order dynamical model. The system’s existence and uniqueness are studied using the formulation of the Caputo derivative operator. The fixed-point approach was used to get results indicating the presence of at least one solution. In numerical simulation, we obtained the approximate solution by using fractional Euler method.

Keywords

mathematical model; fractional dynamical system; stability; fractional euler’s method

Subject

Computer Science and Mathematics, Applied Mathematics

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