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.

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.