title: Persistence in a discrete-time stage-structured fungal disease model.
abstract: A discrete-time susceptible and infected (SI) epidemic model, with less than 100% vertical disease transmission, for the spread of a fungal disease in a structured amphibian host population, is analysed. Criteria for persistence of the population as well as the disease are established. Stability results for host extinction and for the disease-free equilibrium are presented. Bifurcation theory is used to establish existence of an endemic equilibrium.
authors.affiliation: Department of Mathematics and Statistics, Arizona State University, Tempe, AZ, USA. salceanu@mathpost.asu.edu
authors.forename: Paul Leonard
authors.initials: PL
authors.lastname: Salceanu
authors.forename: Hal L
authors.initials: HL
authors.lastname: Smith
mesh_terms: D000375:Aging / Q000502:physiology; D003141:Communicable Diseases / Q000453:epidemiology; D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological; D009181:Mycoses / Q000453:epidemiology*; D013997:Time Factors