[IPOL announce] new article: A Compartmental Epidemiological Model Applied to the Covid-19 Epidemic

[announcements about the IPOL journal]

A new article is available in IPOL: https://www.ipol.im/pub/art/2021/323/


Anne-Flore Baron, Olivier Boulant, Ivan Panico, and Nicolas Vayatis,
A Compartmental Epidemiological Model Applied to the Covid-19 Epidemic,
Image Processing On Line, 11 (2021), pp. 105–119.
https://doi.org/10.5201/ipol.2021.323

Abstract
The objective of this work is to provide a sophisticated but accessible 
compartmental epidemic model. Our algorithm is highly inspired from the 
compartmental model developed by Sofonea and al. in 2020. This model has 
been used as a reference for several working groups in France during the 
Covid-19 crisis. Each individual is allocated to a compartment according 
to her age, her current state with respect to the disease, as well as 
the length of time she has been in that state. The model then reproduces 
the mechanisms of transition from one state to another: mathematically, 
this translates into a system of recurrence relations. It captures how 
much individuals interact with one another through a parameter that 
estimates compliance with hygiene measures and lifestyle habits. The 
present work aims to make the model implementation fully transparent as 
well as the corresponding code available and give control to users so 
that they are able to test the model in total transparency. Focus has 
been put on reproducibility and explanation of the various parameters. 
The hard-coded parameters correspond to the data for the Covid-19 
epidemic in France.