A mathematical model for human-to-human transmission of COVID-19: a case study for Turkey's data

In this study, a mathematical model for simulating the human-to-human transmission of the novel coronavirus disease (COVID-19) is presented for Turkey's data. For this purpose, the total population is classified into eight epidemiological compartments, including the super-spreaders. The local s...

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Autores principales:	Süleyman Cengizci, Aslıhan Dursun Cengizci, Ömür Uğur
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	covid-19 pandemic human-to-human transmission mathematical modeling finite elements numerical simulation turkey case study Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/da2948e54a93493fb0a5cafad8f78db3
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id	oai:doaj.org-article:da2948e54a93493fb0a5cafad8f78db3
record_format	dspace
spelling	oai:doaj.org-article:da2948e54a93493fb0a5cafad8f78db32021-11-29T06:45:06ZA mathematical model for human-to-human transmission of COVID-19: a case study for Turkey's data10.3934/mbe.20214801551-0018https://doaj.org/article/da2948e54a93493fb0a5cafad8f78db32021-11-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021480?viewType=HTMLhttps://doaj.org/toc/1551-0018In this study, a mathematical model for simulating the human-to-human transmission of the novel coronavirus disease (COVID-19) is presented for Turkey's data. For this purpose, the total population is classified into eight epidemiological compartments, including the super-spreaders. The local stability and sensitivity analysis in terms of the model parameters are discussed, and the basic reproduction number, $ R_{0} $, is derived. The system of nonlinear ordinary differential equations is solved by using the Galerkin finite element method in the FEniCS environment. Furthermore, to guide the interested reader in reproducing the results and/or performing their own simulations, a sample solver is provided. Numerical simulations show that the proposed model is quite convenient for Turkey's data when used with appropriate parameters.Süleyman CengizciAslıhan Dursun CengizciÖmür UğurAIMS Pressarticlecovid-19 pandemichuman-to-human transmissionmathematical modelingfinite elementsnumerical simulationturkey case studyBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 9787-9805 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	covid-19 pandemic human-to-human transmission mathematical modeling finite elements numerical simulation turkey case study Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	covid-19 pandemic human-to-human transmission mathematical modeling finite elements numerical simulation turkey case study Biotechnology TP248.13-248.65 Mathematics QA1-939 Süleyman Cengizci Aslıhan Dursun Cengizci Ömür Uğur A mathematical model for human-to-human transmission of COVID-19: a case study for Turkey's data
description	In this study, a mathematical model for simulating the human-to-human transmission of the novel coronavirus disease (COVID-19) is presented for Turkey's data. For this purpose, the total population is classified into eight epidemiological compartments, including the super-spreaders. The local stability and sensitivity analysis in terms of the model parameters are discussed, and the basic reproduction number, $ R_{0} $, is derived. The system of nonlinear ordinary differential equations is solved by using the Galerkin finite element method in the FEniCS environment. Furthermore, to guide the interested reader in reproducing the results and/or performing their own simulations, a sample solver is provided. Numerical simulations show that the proposed model is quite convenient for Turkey's data when used with appropriate parameters.
format	article
author	Süleyman Cengizci Aslıhan Dursun Cengizci Ömür Uğur
author_facet	Süleyman Cengizci Aslıhan Dursun Cengizci Ömür Uğur
author_sort	Süleyman Cengizci
title	A mathematical model for human-to-human transmission of COVID-19: a case study for Turkey's data
title_short	A mathematical model for human-to-human transmission of COVID-19: a case study for Turkey's data
title_full	A mathematical model for human-to-human transmission of COVID-19: a case study for Turkey's data
title_fullStr	A mathematical model for human-to-human transmission of COVID-19: a case study for Turkey's data
title_full_unstemmed	A mathematical model for human-to-human transmission of COVID-19: a case study for Turkey's data
title_sort	mathematical model for human-to-human transmission of covid-19: a case study for turkey's data
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/da2948e54a93493fb0a5cafad8f78db3
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A mathematical model for human-to-human transmission of COVID-19: a case study for Turkey's data

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