PreprintCited by 41Mathematical and Theoretical Epidemiology and Ecology ModelsCOVID-19 epidemiological studiesComplex Network Analysis Techniques

Optimal, near-optimal, and robust epidemic control

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Morris, Dylan H., Rossine, Fernando W., Plotkin, Joshua B., Levin, Simon·2020

Abstract

The COVID-19 pandemic has highlighted the need for control measures that reduce the epidemic peak (“flattening the curve”). Here we derive the optimal time-limited intervention for reducing peak epidemic prevalence in the standard Susceptible-Infectious-Recovered (SIR) model. We show that alternative, more practical interventions can perform nearly as well as the provably optimal strategy. However, none of these strategies are robust to implementation errors: mistiming the start of the intervention by even a single week can be enormously costly, for realistic epidemic parameters. Sustained control measures, though less efficient than optimal and near-optimal time-limited interventions, can be used in combination with time-limited strategies to mitigate the catastrophic risks of mistiming.

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  • Although optimal mitigation minimizes infections and achieves herd immunity in a single-peaked epidemic, multiple other strategies can also minimize infections over a longer term.

    “Furthermore, although “optimal” mitigation is the strategy that will minimize infections and achieve herd immunity in a single-peaked epidemic, there are multiple other strategies that can also minimize infections over a longer term (17, 18).”

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Authors
Morris, D. H., Rossine, F. W., Plotkin, J. B., & Levin, S.
Affiliations
  • Princeton University (US)
  • University of Pennsylvania (US)
Corresponding author
Rossine, Fernando W.
Published
2020-04-04
OpenAlex
W4230008521
Cited by
41
References
31
Citations by year
2024: 2 · 2023: 2 · 2022: 7 · 2021: 14 · 2020: 16
Type
posted content
Language
en
Open access
Locations
OSF Preprints (OSF Preprints) (submittedVersion)
Funders
  • National Science Foundation (1917819)
  • Microsoft
Topics
  • Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
  • Physical Sciences › Mathematics › Modeling and Simulation › COVID-19 epidemiological studies
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Network Analysis Techniques
Keywords
epidemic control, optimal intervention, SIR model, epidemic peak, flattening the curve, time-limited intervention, intervention timing, COVID-19 pandemic

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