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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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2011. |
| Schriftenreihe: | Mathematical Biosciences Subseries
2022 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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 |
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| 100 | 1 | |a Nåsell, Ingemar, |d 19..- | |
| 245 | 1 | 0 | |a Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model |c Ingemar Nåsell. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Mathematical Biosciences Subseries |v 2022 |x 2524-678X | |
| 500 | |a L'impression du document génère 205 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Processus stochastiques | ||
| 650 | |a Biomathématiques | ||
| 650 | |a Distribution (théorie des probabilités) | ||
| 650 | |a Biologie des populations |x Modèles mathématiques | ||
| 650 | |a Probabilités | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse stochastique | ||
| 650 | |a Sciences de la vie | ||
| 776 | 0 | |0 155002902 |t Extinction and quasi-stationarity in the stochastic logistic SIS model |f Ingemar Nåsell |c Heidelberg |n Springer |d 2011 |p 1 vol. (XI-199 p.) |s Lecture notes in mathematics |z 978-3-642-20529-3 | |
| 776 | 0 | |t Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model |b Texte imprimé |z 9783642205316 | |
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