Journal article
Equivalence of the Erlang-Distributed SEIR Epidemic Model and the Renewal Equation
Abstract
Most compartmental epidemic models can be represented using the renewal equation. The value of the renewal equation is not widely appreciated in the epidemiological modelling community, perhaps because its equivalence to standard models has not been presented rigorously in nontrivial cases. Here, we provide analytical expressions for the intrinsic generation-interval distribution that must be used in the renewal equation in order to yield …
Authors
Champredon D; Dushoff J; Earn DJD
Journal
SIAM Journal on Applied Mathematics, Vol. 78, No. 6, pp. 3258–3278
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Publication Date
January 2018
DOI
10.1137/18m1186411
ISSN
0036-1399