On the biological interpretation of a definition for the parameter R0 in periodic population models

被引：79

作者：

Bacaer, Nicolas ^{[1
,2
]}

Dads, El Hadi Ait ^{[3
]}

机构：

[1] IRD, UMI 209, Bondy, France

[2] Univ Paris 06, UMI 209, Paris, France

[3] Univ Cadi Ayyad, Dept Math, Marrakech, Morocco

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2012年 / 65卷 / 04期

关键词：

Demography; Epidemiology; Generations; Basic reproduction number; Seasonality; BASIC REPRODUCTION NUMBER; VECTOR-BORNE DISEASES; EPIDEMIC THRESHOLD; DYNAMICS;

D O I：

10.1007/s00285-011-0479-4

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An adaptation of the definition of the basic reproduction number R (0) to time-periodic seasonal models was suggested a few years ago. However, its biological interpretation remained unclear. The present paper shows that in demography, this R (0) is the asymptotic ratio of total births in two successive generations of the family tree. In epidemiology, it is the asymptotic ratio of total infections in two successive generations of the infection tree. This result is compared with other recent work.

引用

页码：601 / 621

页数：21

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