Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model

von Ingemar Nåsell

199 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783642205293
• Sprache: Englisch
• Erscheinungsdatum: 06.07.2011
• Genre: Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
• Verlag: Springer Berlin