Poisson approximations for epidemics with two levels of mixing.
The authors consider rather general models of epidemic spread in heterogeneous populations, where individuals make random contacts both locally and, at a reduced rate, globally. They derive a sufficient condition under which the distribution of the number of individuals who survive the epidemic converges weakly to a Poisson distribution as the population size tends to infinity; see also \textit{H. E. Daniels} [Proc. 5\,th Berkeley Symp. Math. Stat. Probab. 4, 281--293 (1967)]. The result is specialized to a households model, to an overlapping groups model, and to the great circle model.
scientific article; zbMATH DE number 2100745
scientific article