Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model
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Lecture Notes in Mathematics Mathematical Biosciences Subseries
Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model
Ingemar Nåsell
Mathematics / Probability & Statistics / General
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.
| Publication Date: | 06 July 2011 |
| Publisher: | Springer Berlin Heidelberg |
| Imprint: | Springer |
| ISBN-13: | 9783642205293 |
| Format: | Paperback softback |
| Page Count: | 199 |