A threshold limit theorem for the stochastic logistic epidemic

Håkan Andersson; Boualem Djehiche

doi:10.1017/S0021900200016314

A threshold limit theorem for the stochastic logistic epidemic

Håkan Andersson, Boualem Djehiche

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The time until extinction for the closed SIS stochastic logistic epidemic model is investigated. We derive the asymptotic distribution for the extinction time as the population grows to infinity, under different initial conditions and for different values of the infection rate.

Original language	English (US)
Pages (from-to)	662-670
Number of pages	9
Journal	Journal of Applied Probability
Volume	35
Issue number	3
DOIs	https://doi.org/10.1017/S0021900200016314
State	Published - Sep 1998

Keywords

Birth and death process
Coupling
Entropy
Epidemic process
Time to extinction

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

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10.1017/S0021900200016314

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title = "A threshold limit theorem for the stochastic logistic epidemic",

abstract = "The time until extinction for the closed SIS stochastic logistic epidemic model is investigated. We derive the asymptotic distribution for the extinction time as the population grows to infinity, under different initial conditions and for different values of the infection rate.",

keywords = "Birth and death process, Coupling, Entropy, Epidemic process, Time to extinction",

author = "H{\aa}kan Andersson and Boualem Djehiche",

year = "1998",

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AU - Andersson, Håkan

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KW - Birth and death process

KW - Coupling

KW - Entropy

KW - Epidemic process

KW - Time to extinction

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A threshold limit theorem for the stochastic logistic epidemic

Abstract

Keywords

ASJC Scopus subject areas

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