A final size relation for epidemic models

被引：103

作者：

Arino, Julien ^{[1
]}

Brauer, Fred

van den Driessche, P.

Watmough, James

Wu, Jianhong

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

[4] Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 5A3, Canada

[5] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2007年 / 4卷 / 02期

关键词：

epidemic models; basic reproduction number; final size relation; vertical transmission;

D O I：

10.3934/mbe.2007.4.159

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A final size relation is derived for a general class of epidemic mode ls, including models with multiple susceptible classes. The derivation depends on an explicit formula for the basic reproduction number of a general class of disease transmission models, which is extended to calculate the basic reprod uction number in models with vertical transmission. Applications are given to specific models for influenza and SARS.

引用

页码：159 / 175

页数：17

共 16 条

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