A new fractional model in Caputo sense for studying the dynamics of COVID-19 spread in France

TL;DR

This paper introduces a fractional-order model based on Caputo derivatives to analyze COVID-19 transmission dynamics in France, emphasizing the impact of precautionary measures on hospital and ICU cases using real data.

Contribution

It presents a novel fractional model for COVID-19 spread in France and assesses the effects of precautionary measures with actual data analysis.

Findings

Fractional model effectively captures COVID-19 dynamics.

Precautionary measures significantly reduce infection rates.

Model provides insights into hospital and ICU case trends.

Abstract

The COVID-19 pandemic has rapidly spread around the world and burdened public health in almost all countries involving France. After the spread of SARS-CoV-2, France harvested many deaths in total. In this paper, we develop models with integer and fractional orders to investigate the dynamics of COVID-19 transmission in French hospitals and intensive care units (ICUs). Moreover, this paper aims to explore the impact of precautionary measures on the total infected cases in hospitals and ICUs of COVID-19 for the entire France by using available actual data.