title: A threshold theorem for the general epidemic in discrete time.
abstract: A theorem, analogous to the continuous time Threshold Theorem of Kermack and McKendrick, is proved for a certain discrete time epidemic model. This model, in contrast to its continuous time analogue, leads to some solutions in which the total population of susceptibles may become infected in a finite time.
mesh_terms: D004196:Disease Outbreaks; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D011153:Population; D013997:Time Factors