Library Header Image
LSE Research Online LSE Library Services

Laws of large numbers for epidemic models with countably many types

Barbour, A. D. and Luczak, Malwina J. (2008) Laws of large numbers for epidemic models with countably many types. Annals of Applied Probability, 18 (6). pp. 2208-2238. ISSN 1050-5164

Full text not available from this repository.
Identification Number: 10.1214/08-AAP521


In modeling parasitic diseases, it is natural to distinguish hosts according to the number of parasites that they carry, leading to a countably infinite type space. Proving the analogue of the deterministic equations, used in models with finitely many types as a “law of large numbers” approximation to the underlying stochastic model, has previously either been done case by case, using some special structure, or else not attempted. In this paper we prove a general theorem of this sort, and complement it with a rate of convergence in the ℓ1-norm.

Item Type: Article
Official URL:
Additional Information: © 2008 The annals of applied probability
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Date Deposited: 23 Jan 2009 16:26
Last Modified: 20 Aug 2021 00:48

Actions (login required)

View Item View Item