A deterministic epidemic model taking account of repeated contacts between the same individuals
Authors: Diekmann O,de Jong MCM, Metz JAJ
Publication Year: 1998
Reference: Journal of Applied Probabilities, 35(2):448-462 (June 1998)
www.jstor.org/stable/3215698
Abstract
We indtroduce 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 acquantaince are a random sample of the (infinite) population.