On the reproduction number in epidemics

This note provides an elementary derivation of the basic reproduction number and the effective reproduction number from the discrete Kermack–McKendrick epidemic model. The derived formulae match those derived from the continuous version of the model; however, the derivation from discrete model is a...

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Autor principal:	Milan Batista
Formato:	article
Lenguaje:	EN
Publicado:	Taylor & Francis Group 2021
Materias:	basic reproduction number effective reproduction number kermack–mckendrick epidemic model Environmental sciences GE1-350 Biology (General) QH301-705.5
Acceso en línea:	https://doaj.org/article/0cf2fafb5a124d6f96d9b8ac48e85e29
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spelling	oai:doaj.org-article:0cf2fafb5a124d6f96d9b8ac48e85e292021-11-26T11:19:48ZOn the reproduction number in epidemics1751-37581751-376610.1080/17513758.2021.2001584https://doaj.org/article/0cf2fafb5a124d6f96d9b8ac48e85e292021-01-01T00:00:00Zhttp://dx.doi.org/10.1080/17513758.2021.2001584https://doaj.org/toc/1751-3758https://doaj.org/toc/1751-3766This note provides an elementary derivation of the basic reproduction number and the effective reproduction number from the discrete Kermack–McKendrick epidemic model. The derived formulae match those derived from the continuous version of the model; however, the derivation from discrete model is a bit more intuitive. The MATLAB functions for its calculation are given. A real case example is considered and the results are compared with those obtained by the R0 and the EpiEstim software packages.Milan BatistaTaylor & Francis Grouparticlebasic reproduction numbereffective reproduction numberkermack–mckendrick epidemic modelEnvironmental sciencesGE1-350Biology (General)QH301-705.5ENJournal of Biological Dynamics, Vol 15, Iss 1, Pp 623-634 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	basic reproduction number effective reproduction number kermack–mckendrick epidemic model Environmental sciences GE1-350 Biology (General) QH301-705.5
spellingShingle	basic reproduction number effective reproduction number kermack–mckendrick epidemic model Environmental sciences GE1-350 Biology (General) QH301-705.5 Milan Batista On the reproduction number in epidemics
description	This note provides an elementary derivation of the basic reproduction number and the effective reproduction number from the discrete Kermack–McKendrick epidemic model. The derived formulae match those derived from the continuous version of the model; however, the derivation from discrete model is a bit more intuitive. The MATLAB functions for its calculation are given. A real case example is considered and the results are compared with those obtained by the R0 and the EpiEstim software packages.
format	article
author	Milan Batista
author_facet	Milan Batista
author_sort	Milan Batista
title	On the reproduction number in epidemics
title_short	On the reproduction number in epidemics
title_full	On the reproduction number in epidemics
title_fullStr	On the reproduction number in epidemics
title_full_unstemmed	On the reproduction number in epidemics
title_sort	on the reproduction number in epidemics
publisher	Taylor & Francis Group
publishDate	2021
url	https://doaj.org/article/0cf2fafb5a124d6f96d9b8ac48e85e29
work_keys_str_mv	AT milanbatista onthereproductionnumberinepidemics
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On the reproduction number in epidemics

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