Journal
SIAM JOURNAL ON APPLIED MATHEMATICS
Volume 78, Issue 6, Pages 3258-3278Publisher
SIAM PUBLICATIONS
DOI: 10.1137/18M1186411
Keywords
epidemic models; renewal equation; differential equations; SEIR; Erlang distribution; generation-interval distribution
Categories
Funding
- Natural Sciences and Engineering Research Council of Canada
- Canadian Institutes of Health Research
Ask authors/readers for more resources
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 epidemic dynamics that are identical to those of the susceptible-exposed-infectious-recovered (SEIR) compartmental model with Erlang-distributed latent and infectious periods. This class of models includes the standard (exponentially distributed) SIR and SEIR models as special cases.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available