Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model
| By: | Ingemar Nåsell |
| Publisher: | Springer Nature |
| Print ISBN: | 9783642205293 |
| eText ISBN: | 9783642205309 |
| Edition: | 0 |
| Copyright: | 2011 |
| Format: | Page Fidelity |
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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.