Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model [[electronic resource] /] / by Ingemar Nåsell
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| Autore: |
Nåsell Ingemar
|
| Titolo: |
Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model [[electronic resource] /] / by Ingemar Nåsell
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011 |
| Edizione: | 1st ed. 2011. |
| Descrizione fisica: | 1 online resource (XI, 199 p. 10 illus. in color.) |
| Disciplina: | 577.8/8 |
| Soggetto topico: | Probabilities |
| Life sciences | |
| Probability Theory and Stochastic Processes | |
| Life Sciences, general | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Extinction and quasi-stationarity in the stochastic logistic SIS model |
| ISBN: | 3-642-20530-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466656703316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Mathematical Biosciences Subseries, . 2524-6771 ; ; 2022