Andersson H
Department of Mathematics, Stockholm University, Sweden.
Math Biosci. 1997 Mar;140(2):79-84. doi: 10.1016/s0025-5564(96)00129-0.
We consider the long-time behavior of the simplest possible epidemic in a large homogeneous population that is not necessarily homogeneously mixing. Rather each individual is a member of a number of social structures. In a special case we compute the basic reproduction number, and we observe a threshold behavior as the population grows. The model is described in the framework of random graphs.