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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.
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Extinction and quasi-stationarity in the stochastic logistic SIS model, Ingemar N°asell
- Language
- Released
- 2011
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- Title
- Extinction and quasi-stationarity in the stochastic logistic SIS model
- Language
- English
- Authors
- Ingemar N°asell
- Publisher
- Springer
- Released
- 2011
- ISBN10
- 3642205291
- ISBN13
- 9783642205293
- Category
- Mathematics
- Description
- 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.