About: Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention

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An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

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type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention
Creator	Ketcheson, David
source	MedRxiv
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.
has issue date	2020-05-09(xsd:dateTime)
bibo:doi	10.1101/2020.05.05.20091439
has license	medrxiv
sha1sum (hex)	60b39342bba3246e04aeb5cd0636e88378c95861
schema:url	https://doi.org/10.1101/2020.05.05.20091439
resource representing a document's title	Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention
resource representing a document's body	covid:60b39342bba3246e04aeb5cd0636e88378c95861#body_text
is schema:about of	named entity 'individuals' named entity 'cost' named entity 'total' named entity 'problem' named entity 'contact' »more»

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