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Optimal vaccination: various (counter) intuitive examples

In previous articles, we formalized the problem of optimal allocation strategies for a (perfect) vaccine in an infinite-dimensional metapopulation model. The aim of the current paper is to illustrate this theoretical framework with multiple examples where one can derive the analytic expression of th...

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Autores principales: Delmas, Jean-François, Dronnier, Dylan, Zitt, Pierre-André
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9832132/
https://www.ncbi.nlm.nih.gov/pubmed/36625980
http://dx.doi.org/10.1007/s00285-022-01858-5
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author Delmas, Jean-François
Dronnier, Dylan
Zitt, Pierre-André
author_facet Delmas, Jean-François
Dronnier, Dylan
Zitt, Pierre-André
author_sort Delmas, Jean-François
collection PubMed
description In previous articles, we formalized the problem of optimal allocation strategies for a (perfect) vaccine in an infinite-dimensional metapopulation model. The aim of the current paper is to illustrate this theoretical framework with multiple examples where one can derive the analytic expression of the optimal strategies. We discuss in particular the following points: whether or not it is possible to vaccinate optimally when the vaccine doses are given one at a time (greedy vaccination strategies); the effect of assortativity (that is, the tendency to have more contacts with similar individuals) on the shape of optimal vaccination strategies; the particular case where everybody has the same number of neighbors.
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spelling pubmed-98321322023-01-12 Optimal vaccination: various (counter) intuitive examples Delmas, Jean-François Dronnier, Dylan Zitt, Pierre-André J Math Biol Article In previous articles, we formalized the problem of optimal allocation strategies for a (perfect) vaccine in an infinite-dimensional metapopulation model. The aim of the current paper is to illustrate this theoretical framework with multiple examples where one can derive the analytic expression of the optimal strategies. We discuss in particular the following points: whether or not it is possible to vaccinate optimally when the vaccine doses are given one at a time (greedy vaccination strategies); the effect of assortativity (that is, the tendency to have more contacts with similar individuals) on the shape of optimal vaccination strategies; the particular case where everybody has the same number of neighbors. Springer Berlin Heidelberg 2023-01-10 2023 /pmc/articles/PMC9832132/ /pubmed/36625980 http://dx.doi.org/10.1007/s00285-022-01858-5 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Delmas, Jean-François
Dronnier, Dylan
Zitt, Pierre-André
Optimal vaccination: various (counter) intuitive examples
title Optimal vaccination: various (counter) intuitive examples
title_full Optimal vaccination: various (counter) intuitive examples
title_fullStr Optimal vaccination: various (counter) intuitive examples
title_full_unstemmed Optimal vaccination: various (counter) intuitive examples
title_short Optimal vaccination: various (counter) intuitive examples
title_sort optimal vaccination: various (counter) intuitive examples
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9832132/
https://www.ncbi.nlm.nih.gov/pubmed/36625980
http://dx.doi.org/10.1007/s00285-022-01858-5
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