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Full Title | Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model |
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Author(s) | Ingemar Nåsell |
Edition | |
ISBN | 9783642205309, 9783642205293 |
Publisher | Springer |
Format | PDF and EPUB |
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Full Title | Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model |
---|---|
Author(s) | Ingemar Nåsell |
Edition | |
ISBN | 9783642205309, 9783642205293 |
Publisher | Springer |
Format | PDF and EPUB |
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.