title: Analysis of a model of a vertically transmitted disease.
abstract: A model is presented of a disease that can be transmitted directly from parent to offspring (vertical transmission) as well as through contact with infectives. A global stability analysis is given for the basic model and the epidemiological effects of vertical transmission are discussed. The effects of the addition of maturation and incubation delays as well as spatial diffusion are analyzed in some special cases.
mesh_terms: D003141:Communicable Diseases / Q000635:transmission; D018562:Disease Transmission, Infectious; D004813:Epidemiology; D030342:Genetic Diseases, Inborn / Q000235:genetics; D006801:Humans; D008433:Mathematics; D008954:Models, Biological