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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nåsell, Ingemar (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Mathematical Biosciences Subseries, 2022
Temas:
Probabilities.
Life sciences.
Probability Theory.
Life Sciences.
Acceso en línea:Texto Completo

MARC

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250 |a 1st ed. 2011. 
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300 |a XI, 199 p. 10 illus. in color.  |b online resource. 
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490 1 |a Mathematical Biosciences Subseries,  |x 2524-678X ;  |v 2022 
505 0 |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. 
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. 
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650 0 |a Life sciences. 
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776 0 8 |i Printed edition:  |z 9783642205293 
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830 0 |a Mathematical Biosciences Subseries,  |x 2524-678X ;  |v 2022 
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