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Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model
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 comb...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
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| Edición: | 1st ed. 2011. |
| Colección: | Mathematical Biosciences Subseries,
2022 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 1 Introduction
- 2 Model Formulation
- 3 A Birth-Death Process with Finite State Space and with an Absorbing State at the Origin
- 4 The SIS Model: First Approximations of the Quasi-Stationary Distribution
- 5 Some Approximations Involving the Normal Distribution
- 6 Preparations for the Study of the Stationary Distribution p(1) of the SIS Model
- 7 Approximation of the Stationary Distribution p(1) of the SIS Model
- 8 Preparations for the Study of the Stationary Distribution p(0) of the SIS Model
- 9 Approximation of the Stationary Distribution p(0) of the SIS Model
- 10 Approximation of Some Images UnderY for the SIS Model
- 11 Approximation of the Quasi-Stationary Distribution q of the SIS Model
- 12 Approximation of the Time to Extinction for the SIS Model
- 13 Uniform Approximations for the SIS Model
- 14 Thresholds for the SIS Model
- 15 Concluding Comments.