Epidemic management with admissible and robust invariant sets.

We present a detailed set-based analysis of the well-known SIR and SEIR epidemic models subjected to hard caps on the proportion of infective individuals, and bounds on the allowable intervention strategies, such as social distancing, quarantining and vaccination. We describe the admissible and maxi...

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Autores principales:	Willem Esterhuizen, Jean Lévine, Stefan Streif
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/02e04eeeb0864146ab88bd8b0d0b3972
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spelling	oai:doaj.org-article:02e04eeeb0864146ab88bd8b0d0b39722021-12-02T20:08:01ZEpidemic management with admissible and robust invariant sets.1932-620310.1371/journal.pone.0257598https://doaj.org/article/02e04eeeb0864146ab88bd8b0d0b39722021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0257598https://doaj.org/toc/1932-6203We present a detailed set-based analysis of the well-known SIR and SEIR epidemic models subjected to hard caps on the proportion of infective individuals, and bounds on the allowable intervention strategies, such as social distancing, quarantining and vaccination. We describe the admissible and maximal robust positively invariant (MRPI) sets of these two models via the theory of barriers. We show how the sets may be used in the management of epidemics, for both perfect and imperfect/uncertain models, detailing how intervention strategies may be specified such that the hard infection cap is never breached, regardless of the basic reproduction number. The results are clarified with detailed examples.Willem EsterhuizenJean LévineStefan StreifPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 9, p e0257598 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Willem Esterhuizen Jean Lévine Stefan Streif Epidemic management with admissible and robust invariant sets.
description	We present a detailed set-based analysis of the well-known SIR and SEIR epidemic models subjected to hard caps on the proportion of infective individuals, and bounds on the allowable intervention strategies, such as social distancing, quarantining and vaccination. We describe the admissible and maximal robust positively invariant (MRPI) sets of these two models via the theory of barriers. We show how the sets may be used in the management of epidemics, for both perfect and imperfect/uncertain models, detailing how intervention strategies may be specified such that the hard infection cap is never breached, regardless of the basic reproduction number. The results are clarified with detailed examples.
format	article
author	Willem Esterhuizen Jean Lévine Stefan Streif
author_facet	Willem Esterhuizen Jean Lévine Stefan Streif
author_sort	Willem Esterhuizen
title	Epidemic management with admissible and robust invariant sets.
title_short	Epidemic management with admissible and robust invariant sets.
title_full	Epidemic management with admissible and robust invariant sets.
title_fullStr	Epidemic management with admissible and robust invariant sets.
title_full_unstemmed	Epidemic management with admissible and robust invariant sets.
title_sort	epidemic management with admissible and robust invariant sets.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/02e04eeeb0864146ab88bd8b0d0b3972
work_keys_str_mv	AT willemesterhuizen epidemicmanagementwithadmissibleandrobustinvariantsets AT jeanlevine epidemicmanagementwithadmissibleandrobustinvariantsets AT stefanstreif epidemicmanagementwithadmissibleandrobustinvariantsets
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Epidemic management with admissible and robust invariant sets.

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