Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model
Download or Read eBook Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model PDF written by Ingemar Nåsell and published by Springer Science & Business Media. This book was released on 2011-07-06 with total page 206 pages. Available in PDF, EPUB and Kindle.
Author | : Ingemar Nåsell |
Publisher | : Springer Science & Business Media |
Total Pages | : 206 |
Release | : 2011-07-06 |
ISBN-10 | : 9783642205293 |
ISBN-13 | : 3642205291 |
Rating | : 4/5 (93 Downloads) |
Book Synopsis Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model by : Ingemar Nåsell
Book excerpt: 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.