2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88259The spread of infectious diseases near the epidemic threshold is investigated. Scaling laws for the size and the duration of outbreaks originating from a single infected individual in a large susceptible population are obtained. The maximal size of an outbreak n_* scales as N^{2/3} with N the population size. This scaling law implies that the average outbreak size <n> scales as N^{1/3}. Moreover, the maximal and the average duration of an outbreak grow as t_* ~ N^{1/3} and <t> ~ ln N, respectively.4 pages, 5 figuresPopulations and EvolutionStatistical MechanicsProbabilitytext