ON THE SIMULTANEOUS DISTRIBUTION OF SIZE AND COSTS OF AN EPIDEMIC IN A CLOSED MULTIGROUP POPULATION

A multitype stochastic epidemic model in which the infectivities and susceptibilities differ between subgroups is considered. To each infected are associated random effects of the infection, such as the development of a subsequent disease and the length of the infectivity period. Sums of the corresponding random variables are called costs of the epidemic. The asymptotic simultaneous distribution of the size and costs of large epidemics is derived.