About: Path Integral Approach to Uncertainties in SIR-type Systems

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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	Path Integral Approach to Uncertainties in SIR-type Systems
Creator	Gratton, Steven
source	ArXiv
abstract	In this paper I show how path integral techniques can be used to put measures on histories in%22susceptible-infectious-recovered%22(SIR)-type systems. The standard SIR solution emerges as the classical saddle point of the action describing the measure. One can then expand perturbatively around the background solution, and this paper goes on to work out the covariance of fluctuations around the background solution. Using a Green's function type approach, one simply needs to solve additional ordinary differential equations; an explicit matrix inversion is not required. The computed covariance matrix should be useful in the construction of fast likelihoods for fitting the parameters of SIR-type models to data. A comparison of the predictions of the approach to an ensemble of simulations is presented.
has issue date	2020-06-02(xsd:dateTime)
has license	arxiv
sha1sum (hex)	19548ef5a5cbe8b8553f77c62138560af0ed2a01
resource representing a document's title	Path Integral Approach to Uncertainties in SIR-type Systems
resource representing a document's body	covid:19548ef5a5cbe8b8553f77c62138560af0ed2a01#body_text
is schema:about of	named entity 'SIMULATIONS' named entity 'path integral' named entity 'type systems' named entity 'covariance' named entity 'Hamiltonian' »more»

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