Analysis of a COVID-19 compartmental model: a mathematical and computational approach

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 m...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Zita Abreu, Guillaume Cantin, Cristiana J. Silva
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	sairp epidemic model covid-19 stability analysis free and open-source software reproducibility of scientific method Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/0258294d4a9d46e7b5591fb8cb52165c
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:0258294d4a9d46e7b5591fb8cb52165c
record_format	dspace
spelling	oai:doaj.org-article:0258294d4a9d46e7b5591fb8cb52165c2021-11-23T03:01:16ZAnalysis of a COVID-19 compartmental model: a mathematical and computational approach10.3934/mbe.20213961551-0018https://doaj.org/article/0258294d4a9d46e7b5591fb8cb52165c2021-09-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021396?viewType=HTMLhttps://doaj.org/toc/1551-0018In 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.Zita AbreuGuillaume CantinCristiana J. SilvaAIMS Pressarticlesairp epidemic modelcovid-19stability analysisfree and open-source softwarereproducibility of scientific methodBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 7979-7998 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	sairp epidemic model covid-19 stability analysis free and open-source software reproducibility of scientific method Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	sairp epidemic model covid-19 stability analysis free and open-source software reproducibility of scientific method Biotechnology TP248.13-248.65 Mathematics QA1-939 Zita Abreu Guillaume Cantin Cristiana J. Silva Analysis of a COVID-19 compartmental model: a mathematical and computational approach
description	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.
format	article
author	Zita Abreu Guillaume Cantin Cristiana J. Silva
author_facet	Zita Abreu Guillaume Cantin Cristiana J. Silva
author_sort	Zita Abreu
title	Analysis of a COVID-19 compartmental model: a mathematical and computational approach
title_short	Analysis of a COVID-19 compartmental model: a mathematical and computational approach
title_full	Analysis of a COVID-19 compartmental model: a mathematical and computational approach
title_fullStr	Analysis of a COVID-19 compartmental model: a mathematical and computational approach
title_full_unstemmed	Analysis of a COVID-19 compartmental model: a mathematical and computational approach
title_sort	analysis of a covid-19 compartmental model: a mathematical and computational approach
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/0258294d4a9d46e7b5591fb8cb52165c
work_keys_str_mv	AT zitaabreu analysisofacovid19compartmentalmodelamathematicalandcomputationalapproach AT guillaumecantin analysisofacovid19compartmentalmodelamathematicalandcomputationalapproach AT cristianajsilva analysisofacovid19compartmentalmodelamathematicalandcomputationalapproach
_version_	1718417296723017728

Analysis of a COVID-19 compartmental model: a mathematical and computational approach

Ejemplares similares