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.

Epidemiology (msc 92D30)
CWI
Department of Analysis, Algebra and Geometry [AM]

Diekmann, O, de Jong, M.C.M, & Metz, J.A.J. (1995). A deterministic epidemic model taking acccount of repeated contacts betweenthe same individuals. Department of Analysis, Algebra and Geometry [AM]. CWI.