A threshold limit theorem for the stochastic logistic epidemic

被引：52

作者：

Andersson, H ^{[1
]}

Djehiche, B

机构：

[1] Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden

[2] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

JOURNAL OF APPLIED PROBABILITY | 1998年 / 35卷 / 03期

关键词：

birth and death process; epidemic process; entropy; time to extinction; coupling;

D O I：

10.1239/jap/1032265214

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：662 / 670

页数：9

共 12 条

[1]

Aldous D., 1989, PROBABILITY APPROXIM

[2] DURATION OF CLOSED STOCHASTIC EPIDEMIC [J].