Author: Jonathan Dushoff; Sang Woo Park
Title: Speed and strength of an epidemic intervention Document date: 2020_3_3
ID: fhqbw32a_10
Snippet: where g(Ï„ ) is the "intrinsic" generation-interval distribution. The generation interval is defined as the time between when a person becomes infected and when that person infects another person (Svensson, 2007) ; therefore, the intrinsic generation-interval distribution g(Ï„ ) gives the relative infectiousness of an average individual as a function of time since infection (Champredon and Dushoff, 2015) . Since g is a distribution, it integrates.....
Document: where g(Ï„ ) is the "intrinsic" generation-interval distribution. The generation interval is defined as the time between when a person becomes infected and when that person infects another person (Svensson, 2007) ; therefore, the intrinsic generation-interval distribution g(Ï„ ) gives the relative infectiousness of an average individual as a function of time since infection (Champredon and Dushoff, 2015) . Since g is a distribution, it integrates to 1, and the basic reproductive number R is thus the integral of K. Imagine a control measure that proportionally reduces K, for example, by protecting a 3 . CC-BY-ND 4.0 International license author/funder. It is made available under a The copyright holder for this preprint (which was not peer-reviewed) is the . https://doi.org/10.1101/2020.03.02.974048 doi: bioRxiv preprint fixed fraction of susceptibles through vaccination (Fig. 1A) . We then have:
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