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

Journal of Applied ProbabilityPublished 1 June 1998
Odo Diekmann, M.C.M. de Jong, J.A.J. Metz
Citations98
SJR quartileQ2
SJR score0.53
SNIP0.91

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.

Keywords

MathematicsMedicinePhysics and Astronomy