On the quasi-stationary distribution of the stochastic logistic epidemic

An approximation is derived for the quasi-stationary distribution of the stochastic logistic epidemic in the intricate case where the transmission factor R 0 lies in the transition region near the deterministic threshold value 1. An approximation for the expected time to extinction from quasi-statio...

Full description

Saved in:
Bibliographic Details
Published inMathematical biosciences Vol. 156; no. 1; pp. 21 - 40
Main Author Nåsell, Ingemar
Format Journal Article
LanguageEnglish
Published United States Elsevier Inc 01.03.1999
Subjects
Asymptotic approximation
Endemic Diseases
Epidemiology
Humans
Logistic Models
Models, Biological
Quasi-stationary distribution
SIS model
Stochastic Processes
Time to extinction
Transition region
Transition region
Quasi-stationary distribution
Asymptotic approximation
SIS model
Time to extinction
Online AccessGet full text

Cover

More Information
Summary:An approximation is derived for the quasi-stationary distribution of the stochastic logistic epidemic in the intricate case where the transmission factor R 0 lies in the transition region near the deterministic threshold value 1. An approximation for the expected time to extinction from quasi-stationarity in the same parameter region is also given. Mathematics subject classification: 60J27; 92D30
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0025-5564
1879-3134
DOI:10.1016/S0025-5564(98)10059-7