Mathematical Analysis of a Fractional COVID-19 Model Applied to Wuhan, Spain and Portugal

TL;DR

This paper provides a mathematical analysis of a fractional-order COVID-19 model, demonstrating its stability and biological validity through theoretical proofs and numerical simulations across Wuhan, Spain, and Portugal.

Contribution

It introduces a fractional-order COVID-19 model and proves its global stability, offering new insights into disease dynamics and control strategies.

Findings

Model is mathematically and biologically well posed

Global stability of disease-free equilibrium proven

Numerical simulations confirm stability and convergence

Abstract

We propose a qualitative analysis of a recent fractional-order COVID-19 model. We start by showing that the model is mathematically and biologically well posed. Then, we give a proof on the global stability of the disease free equilibrium point. Finally, some numerical simulations are performed to ensure stability and convergence of the disease free equilibrium point.