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Back to the Roots: A Discrete Kermack–McKendrick Model Adapted to Covid-19.

Authors :
Kreck, Matthias
Scholz, Erhard
Source :
Bulletin of Mathematical Biology; Apr2022, Vol. 84 Issue 4, p1-30, 30p
Publication Year :
2022

Abstract

A widely used tool for analysing the Covid-19 pandemic is the standard SIR model. It seems often to be used as a black box, not taking into account that this model was derived as a special case of the seminal Kermack–McKendrick theory from 1927. This is our starting point. We explain the setup of the Kermack–McKendrick theory (passing to a discrete approach) and use medical information for specializing to a model called by us an adapted K-McK-model. It includes effects of vaccination, mass testing and mutants. We demonstrate the use of the model by applying it to the development in Germany and show, among others things, that a comparatively mild intervention reducing the time until quarantine by one day would lead to a drastic improvement. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00928240
Volume :
84
Issue :
4
Database :
Complementary Index
Journal :
Bulletin of Mathematical Biology
Publication Type :
Academic Journal
Accession number :
155313365
Full Text :
https://doi.org/10.1007/s11538-022-00994-9