Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model

  • Ingemar Nåsell
Part of the Lecture Notes in Mathematics book series (LNM, volume 2022)

Table of contents

About this book

Introduction

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.

Keywords

60-J28; 92-D30 Birth-death processes Extinction time Logistic SIS model Quasi-stationarity Threshold results

Authors and affiliations

  • Ingemar Nåsell
    • 1
  1. 1.MathematicsRoyal Institute of TechnologyStockholmSweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-20530-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-20529-3
  • Online ISBN 978-3-642-20530-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book