ArticleJournal of mathematical biology2021
Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention.
Article in Journal of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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Who cites it
11 citing papers in PubMed.
- Confinement tonicity on epidemic spreading.Journal of mathematical biology · 2024Article
- Rational social distancing policy during epidemics with limited healthcare capacity.PLoS computational biology · 2023Article
- Social divisions and risk perception drive divergent epidemics and large later waves.Evolutionary human sciences · 2023Article
- Three-layer model for the control of epidemic infection over multiple social networks.SN applied sciences · 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
- Optimal control for a SIR epidemic model with limited quarantine.Scientific reports · 2022Article
- Analytical estimation of maximum fraction of infected individuals with one-shot non-pharmaceutical intervention in a hybrid epidemic model.BMC infectious diseases · 2022Article
- Analysis of non-pharmaceutical interventions and their impacts on COVID-19 in Kerala.Scientific reports · 2022Article
- Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention.Journal of mathematical biology · 2021Article
- How best can finite-time social distancing reduce epidemic final size?Journal of theoretical biology · 2021Article
- Beyond just "flattening the curve": Optimal control of epidemics with purely non-pharmaceutical interventions.Journal of mathematics in industry · 2020Article
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Authors and funding
1 author.
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Abstract
We consider the problem of controlling an SIR-model epidemic by temporarily reducing the rate of contact within a population. The control takes the form of a multiplicative reduction in the contact rate of infectious individuals. The control is allowed to be applied only over a finite time interval, while the objective is to minimize the total number of individuals infected in the long-time limit, subject to some cost function for the control. We first consider the no-cost scenario and analytically determine the optimal control and solution. We then study solutions when a cost of intervention is included, as well as a cost associated with overwhelming the available medical resources. Examples are studied through the numerical solution of the associated Hamilton-Jacobi-Bellman equation. Finally, we provide some examples related directly to the current pandemic.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.