Limit theorems for the total size of a spatial epidemic-Reference-Cited by-同舟云学术

Limit theorems for the total size of a spatial epidemic

Published:1997-09 Issue:3 Volume:34 Page:698-710
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Andersson Håkan,Djehiche Boualem

Abstract

We study the long-term behaviour of a sequence of multitype general stochastic epidemics, converging in probability to a deterministic spatial epidemic model, proposed by D. G. Kendall. More precisely, we use branching and deterministic approximations in order to study the asymptotic behaviour of the total size of the epidemics as the number of types and the number of individuals of each type both grow to infinity.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference10 articles.

1. On the simultaneous distribution of size and costs of an epidemic in a closed multigroup population

2. Limit theorems for multitype epidemics

3. A Functional Limit Theorem for the Total Cost of a Multitype Standard Epidemic

4. The Theory of Branching Processes

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