Open AccessAnalysis of a COVID-19 compartmental model: a mathematical and computational approach
Author(s) -
Z. H. L. de Abreu,
Guillaume Cantin,
Cristiana J. Silva
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021396
Subject(s) - python (programming language) , mathematical model , computer science , mathematical software , mathematics , mathematical theory , range (aeronautics) , software , stability (learning theory) , covid-19 , differential equation , theoretical computer science , programming language , machine learning , infectious disease (medical specialty) , mathematical analysis , statistics , medicine , physics , materials science , disease , pathology , quantum mechanics , composite material
In this note, we consider a compartmental epidemic mathematical model given by a system of differential equations. We provide a complete toolkit for performing both a symbolic and numerical analysis of the spreading of COVID-19. By using the free and open-source programming language Python and the mathematical software SageMath, we contribute for the reproducibility of the mathematical analysis of the stability of the equilibrium points of epidemic models and their fitting to real data. The mathematical tools and codes can be adapted to a wide range of mathematical epidemic models.