2010/01/01 by Paul Leonard Salceanu, Paul L. Salceanu, Hal L. Smith
Biochemistry, Genetics and Molecular Biology · Environmental Science · Medicine · #Amphibian and Reptile Biology #Evolution and Genetic Dynamics #Mathematical and Theoretical Epidemiology and Ecology Models
paper · doi:10.1080/10236190802400733
openalex publication_date 2010/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
Discrete-time SI and SIR epidemic models, formulated by Emmert and Allen [J. Differ. Equ. Appl., 10 (2004), pp. 1177–1199] for the spread of a fungal disease in a structured amphibian host population, are analysed. Criteria for persistence of the population as well as for persistence of the disease are established. Global stability results for host extinction and for the disease-free equilibrium are presented.