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Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model de Ingemar Nåsell

Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model: Lecture Notes in Mathematics, cartea 2022

Autor Ingemar Nåsell
en Limba Engleză Paperback – 6 iul 2011
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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Specificații

ISBN-13: 9783642205293
ISBN-10: 3642205291
Pagini: 204
Ilustrații: XI, 199 p. 10 illus. in color.
Dimensiuni: 155 x 235 x 12 mm
Greutate: 0.25 kg
Ediția:2011
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seriile Lecture Notes in Mathematics, Mathematical Biosciences Subseries

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Includes supplementary material: sn.pub/extras