Advertisement

Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model

  • Ingemar Nåsell
Book

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

Industry Sectors
Pharma
Biotechnology
Finance, Business & Banking
Electronics
IT & Software
Telecommunications
Energy, Utilities & Environment
Aerospace
Oil, Gas & Geosciences
Engineering