Herd immunity under individual variation and reinfection
© 2022. The Author(s)..
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.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2022 |
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| Erschienen: |
2022 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:85 |
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| Enthalten in: |
Journal of mathematical biology - 85(2022), 1 vom: 30. Juni, Seite 2 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Montalbán, Antonio [VerfasserIn] |
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| Links: |
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| Themen: |
Effective reproduction number |
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| Anmerkungen: |
Date Completed 04.07.2022 Date Revised 04.09.2022 published: Electronic Citation Status MEDLINE |
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| doi: |
10.1007/s00285-022-01771-x |
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| funding: |
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| Förderinstitution / Projekttitel: |
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NLM342943421 |
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| 520 | |a © 2022. The Author(s). | ||
| 520 | |a 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 | ||
| 650 | 4 | |a Journal Article | |
| 650 | 4 | |a Effective reproduction number | |
| 650 | 4 | |a Herd immunity threshold | |
| 650 | 4 | |a Individual variation | |
| 650 | 4 | |a SEIR model | |
| 650 | 4 | |a Selection | |
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| 700 | 1 | |a Gomes, M Gabriela M |e verfasserin |4 aut | |
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