Limit theorems for the total size of a spatial epidemic

Limit theorems for the total size of a spatial epidemic

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Article ID: iaor1999485
Country: United Kingdom
Volume: 34
Issue: 3
Start Page Number: 698
End Page Number: 710
Publication Date: Sep 1997
Journal: Journal of Applied Probability
Authors: ,
Keywords: epidemiology
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.

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