Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model

Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model
Author :
Publisher : Springer Science & Business Media
Total Pages : 206
Release :
ISBN-10 : 9783642205293
ISBN-13 : 3642205291
Rating : 4/5 (291 Downloads)

Book Synopsis Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model by : Ingemar Nåsell

Download or read book Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model 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. 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.


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