A deterministic epidemic model taking account of repeated contacts between the same individuals

A deterministic epidemic model taking account of repeated contacts between the same individuals

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Article ID: iaor19992713
Country: United Kingdom
Volume: 35
Issue: 2
Start Page Number: 448
End Page Number: 462
Publication Date: Jun 1998
Journal: Journal of Applied Probability
Authors: , ,
Keywords: epidemiology
Abstract:

We introduce a certain population contact structure and derive, in three different ways, the final size equation for a quite general superimposed epidemic process. The contact structure is characterized by the following two properties: (i) each individual contacts exactly k other individuals; (ii) these k acquaintances are a random sample of the (infinite) population.

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