Herd immunity under individual variation and reinfection

We study a susceptible-exposed-infected-recovered (SEIR) model considered by Aguas et al. (In: Herd immunity thresholds for SARS-CoV-2 estimated from unfolding epidemics, 2021), Gomes et al. (In: J Theor Biol. 540:111063, 2022) where individuals are assumed to differ in their susceptibility or expos...

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Autores principales: Montalbán, Antonio, Corder, Rodrigo M., Gomes, M. Gabriela M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9246817/
https://www.ncbi.nlm.nih.gov/pubmed/35773525
http://dx.doi.org/10.1007/s00285-022-01771-x
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author Montalbán, Antonio
Corder, Rodrigo M.
Gomes, M. Gabriela M.
author_facet Montalbán, Antonio
Corder, Rodrigo M.
Gomes, M. Gabriela M.
author_sort Montalbán, Antonio
collection PubMed
description We study a susceptible-exposed-infected-recovered (SEIR) model considered by Aguas et al. (In: Herd immunity thresholds for SARS-CoV-2 estimated from unfolding epidemics, 2021), Gomes et al. (In: J Theor Biol. 540:111063, 2022) where individuals are assumed to differ in their susceptibility or exposure to infection. Under this heterogeneity assumption, epidemic growth is effectively suppressed when the percentage of the population having acquired immunity surpasses a critical level - the herd immunity threshold - that is lower than in homogeneous populations. We derive explicit formulas to calculate herd immunity thresholds and stable configurations, especially when susceptibility or exposure are gamma distributed, and explore extensions of the model.
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spelling pubmed-92468172022-07-01 Herd immunity under individual variation and reinfection Montalbán, Antonio Corder, Rodrigo M. Gomes, M. Gabriela M. J Math Biol Article We study a susceptible-exposed-infected-recovered (SEIR) model considered by Aguas et al. (In: Herd immunity thresholds for SARS-CoV-2 estimated from unfolding epidemics, 2021), Gomes et al. (In: J Theor Biol. 540:111063, 2022) where individuals are assumed to differ in their susceptibility or exposure to infection. Under this heterogeneity assumption, epidemic growth is effectively suppressed when the percentage of the population having acquired immunity surpasses a critical level - the herd immunity threshold - that is lower than in homogeneous populations. We derive explicit formulas to calculate herd immunity thresholds and stable configurations, especially when susceptibility or exposure are gamma distributed, and explore extensions of the model. Springer Berlin Heidelberg 2022-06-30 2022 /pmc/articles/PMC9246817/ /pubmed/35773525 http://dx.doi.org/10.1007/s00285-022-01771-x Text en © The Author(s) 2022 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
Montalbán, Antonio
Corder, Rodrigo M.
Gomes, M. Gabriela M.
Herd immunity under individual variation and reinfection
title Herd immunity under individual variation and reinfection
title_full Herd immunity under individual variation and reinfection
title_fullStr Herd immunity under individual variation and reinfection
title_full_unstemmed Herd immunity under individual variation and reinfection
title_short Herd immunity under individual variation and reinfection
title_sort herd immunity under individual variation and reinfection
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9246817/
https://www.ncbi.nlm.nih.gov/pubmed/35773525
http://dx.doi.org/10.1007/s00285-022-01771-x
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