Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model

• Main Author: Nåsell, Ingemar (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
• Series: Lecture Notes in Mathematics, 2022
• Subjects: Mathematics.; Life sciences.; Probabilities.; Probability Theory and Stochastic Processes.; Life Sciences, general.
• Physical Description: XI, 199 p. 10 illus. in color. online resource.
• ISBN: 9783642205309
• ISSN: 0075-8434 ;

This volume presents explicit approximations of the quasi-stationary distribution and of the expected time to extinction from the state one and from quasi-stationarity for the stochastic logistic SIS model. The approximations are derived separately in three different parameter regions, and then combined into a uniform approximation across all three regions. Subsequently, the results are used to derive thresholds as functions of the population size N.