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...
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| Hlavní autor: | |
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2011. |
| Edice: | Mathematical Biosciences Subseries
2022 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
L'impression du document génère 205 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Extinction and quasi-stationarity in the stochastic logistic SIS model, Ingemar Nåsell, Heidelberg, Springer, 2011, 1 vol. (XI-199 p.), Lecture notes in mathematics, 978-3-642-20529-3 • Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model, Texte imprimé, 9783642205316 |
Obsah:
- 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