Mathematical Biosciences Subseries

Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model

Authors: Nåsell, Ingemar

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About this book

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.

Table of contents (15 chapters)

  • Introduction

    Nåsell, Ingemar

    Pages 1-7

  • Model Formulation

    Nåsell, Ingemar

    Pages 9-16

  • Stochastic Process Background

    Nåsell, Ingemar

    Pages 17-40

  • The SIS Model: First Approximations of the Quasi-stationary Distribution

    Nåsell, Ingemar

    Pages 41-46

  • Some Approximations Involving the Normal Distribution

    Nåsell, Ingemar

    Pages 47-72

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-642-20530-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-3-642-20529-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model
Authors
Series Title
Mathematical Biosciences Subseries
Series Volume
2022
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-20530-9
DOI
10.1007/978-3-642-20530-9
Softcover ISBN
978-3-642-20529-3
Edition Number
1
Number of Pages
XI, 199
Number of Illustrations and Tables
10 illustrations in colour
Topics