Quick Search:
Browse by:

Zurich Open Repository and Archive

Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-31172

# Barbour, A D (2009). Coupling a branching process to an infinite dimensional epidemic process. ESAIM: Probability and Statistics, 14:53-64.

 Preview
Accepted Version
PDF
1MB

View at publisher

## Abstract

Branching process approximation to the initial stages of an epidemic process has been used since the 1950's as a technique for providing stochastic counterparts to deterministic epidemic threshold theorems. One way of describing the approximation is to construct both branching and epidemic processes on the same probability space, in such a way that their paths coincide for as long as possible. In this paper, it is shown, in the context of a Markovian model of parasitic infection, that coincidence can be achieved with asymptotically high probability until MN infections have occurred, as long as MN = o(N2/3), where N denotes the total number of hosts.

## Citations

1 citation in Web of Science®
2 citations in Scopus®