Epidemics and random graphs

摘要: The idea of this note is to point out that the simple random graph G(η,ρ) (Bollobas (1985)) can be used as an internal description for Reed-Frost.cha~n-binomial epidemic model (Bailey (1975)). This relationship mutually beneficml: It allows us deduce new results on each from old other, and also points possible extensions work each. makes clear Reed-Frost model, in its contact structure if not development time, is, pace Jacquez (1987), one simplest most elegant models (see Lefevre Picard, 1989).