title: A discrete-time model for the spread of periodic diseases without immunity.
abstract: We investigate the properties of a discrete-time model for the spread of an infectious disease that does not confer permanent immunity. The contact rate is assumed to be constant. Our major result is that oscillations occur in the levels of the diseased population. The consequences of vaccination are also studied.
authors.affiliation: Department of Physics, Clark Atlanta University, GA 30314.
authors.forename: R E
authors.initials: RE
authors.lastname: Mickens
mesh_terms: D003140:Communicable Disease Control; D003141:Communicable Diseases / Q000453:epidemiology* / Q000276:immunology; D005246:Feedback; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical; D010507:Periodicity; D014611:Vaccination