ArticleJournal of theoretical biology2021
How best can finite-time social distancing reduce epidemic final size?
Article in Journal of theoretical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Confinement tonicity on epidemic spreading.Journal of mathematical biology · 2024Article
- Reframing Optimal Control Problems for Infectious Disease Management in Low-Income Countries.Bulletin of mathematical biology · 2023Article
- Minimizing the epidemic final size while containing the infected peak prevalence in SIR systems.Automatica : the journal of IFAC, the International Federation of Automatic Control · 2022Article
- Feedback control of social distancing for COVID-19 via elementary formulae.IFAC-PapersOnLine · 2022Article
- A simple criterion to design optimal non-pharmaceutical interventions for mitigating epidemic outbreaks.Journal of the Royal Society, Interface · 2021Article
- Optimization in the Context of COVID-19 Prediction and Control: A Literature Review.IEEE access : practical innovations, open solutions · 2021Article
- COVID-19 epidemic control using short-term lockdowns for collective gain.Annual reviews in control · 2021Article
- Model predictive control for optimal social distancing in a type SIR-switched model.IFAC-PapersOnLine · 2021Article
- Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model.Journal of optimization theory and applications · 2021Article
Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Given maximal social distancing duration and intensity, how can one minimize the epidemic final size, or equivalently the total number of individuals infected during the outbreak? A complete answer to this question is provided and demonstrated here for the SIR epidemic model. In this simplified setting, the optimal solution consists in enforcing the highest confinement level during the longest allowed period, beginning at a time instant that is the unique solution to certain 1D optimization problem. Based on this result, we present numerical essays showing the best possible performance for a large set of basic reproduction numbers and lockdown durations and intensities.
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