Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model

  • Ingemar Nåsell

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

Also part of the Mathematical Biosciences Subseries book sub series (LNMBIOS, 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