Extinction and quasi-stationarity in the stochastic logistic SIS model /
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Author / Creator: | Nåsell, Ingemar. |
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Imprint: | Berlin ; London ; New York : Springer, ©2011. |
Description: | 1 online resource (xi, 199 pages) : illustrations (some color). |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 2022. Mathematical biosciences subseries Lecture notes in mathematics (Springer-Verlag) ; 2022. Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11076403 |
Summary: | 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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Physical Description: | 1 online resource (xi, 199 pages) : illustrations (some color). |
Bibliography: | Includes bibliographical references and index. |
ISBN: | 9783642205309 3642205305 9783642205293 3642205291 |
ISSN: | 0075-8434 ; |