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Deterministic modeling of the effect of reservoir hosts on the spread of chytrid fungus within the barred tiger salamander population

Posted on:2007-09-26Degree:M.SType:Thesis
University:Tarleton State UniversityCandidate:Zuehlke, Jo LeighFull Text:PDF
GTID:2447390005977819Subject:Biology
Abstract/Summary:
A discrete-time model is formulated for the spread of Chytridiomycosis in a structured host population. The host population is assumed to be the barred tiger salamander, Ambystoma Tigrinum Mavortium. The host population is divided into several developmental stages, terrestrial adult, neotenic adult, juvenile, and larval. The larval stage is further subdivided into a typical larval stage and an extended larval stage. Different sub-models of the full structured epidemic model are studied. Conditions are derived for the stability of the extinction equilibrium, as well as for stability of the disease-free equilibrium. Numerical simulations are used to explore different aspects of these models.
Keywords/Search Tags:Host, Population
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