The asymptotic final size distribution of multitype chain-binomial epidemic processes

Andersson, Mikael

doi:10.1017/s0001867800009034

Abstract

A multitype chain-binomial epidemic process is defined for a closed finite population by sampling a simple multidimensional counting process at certain points. The final size of the epidemic is then characterized, given the counting process, as the smallest root of a non-linear system of equations. By letting the population grow, this characterization is used, in combination with a branching process approximation and a weak convergence result for the counting process, to derive the asymptotic distribution of the final size. This is done for processes with an irreducible contact structure both when the initial infection increases at the same rate as the population and when it stays fixed

Keywords

Multitype chain-binomial epidemic process; counting process; weak convergence; branching process

Published in

Advances in Applied Probability
1999, number: 31, pages: 220-234

SLU Authors

Andersson Franko, Mikael
- Department of Economics, Swedish University of Agricultural Sciences

UKÄ Subject classification

Probability Theory and Statistics

Publication identifier

DOI: https://doi.org/10.1017/s0001867800009034

Permanent link to this page (URI)

https://res.slu.se/id/publ/31150