A mathematical model of the spread of Batrachochytrium dendrobatidis in the Cascades frog (Rana cascadae)
Graduation Date
2014
Document Type
Thesis
Program
Other
Program
Thesis (M.S.)--Humboldt State University, Environmental Systems: Mathematical Modeling, 2014
Committee Chair Name
Christopher Dugaw
Committee Chair Affiliation
HSU Faculty or Staff
Keywords
Batrachochytrium dendrobatidis, Disease model, Chytrid, Cascades frog, Rana cascadae, Mathematical model, Chytridiomycosis, Humboldt State University -- Theses -- Mathematical Modeling, Infectious disease
Abstract
Over recent decades the chytrid fungus Batrachochytrium dendrobatidis has been the cause of wide-spread disease in many amphibian populations. This study models the long term effects of the related disease, chytridiomycosis, in a population of Cascades frogs (Rana cascadae). Susceptibility and infectiousness were varied to determine the long-term outcome of the population: 1) extinction of the infected frogs and recovery of the frog population, 2) persistence of both the infected and uninfected populations, 3) extinction of both the infected and uninfected. Both the deterministic and stochastic models showed extinction as the most likely long term outcome.
Recommended Citation
Harer, Kathleen M., "A mathematical model of the spread of Batrachochytrium dendrobatidis in the Cascades frog (Rana cascadae)" (2014). Cal Poly Humboldt theses and projects. 1173.
https://digitalcommons.humboldt.edu/etd/1173
https://scholarworks.calstate.edu/concern/theses/0r9676274