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Persistence in a discrete-time stage-structured fungal disease model
Paul Leonard Salceanu1, Hal L Smith
1Department of Mathematics and Statistics, Arizona State University, Tempe, AZ, USA. salceanu@mathpost.asu.edu
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.
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