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

共 50 条

[41] New Population and Phylogenetic Features of the Internal Variation within Mitochondrial DNA Macro-Haplogroup R0
Alvarez-Iglesias, Vanesa
Mosquera-Miguel, Ana
Cerezo, Maria
Quintans, Beatriz
Teresa Zarrabeitia, Maria
Cusco, Ivon
Victoria Lareu, Maria
Garcia, Oscar
Perez-Jurado, Luis
Carracedo, Angel
Salas, Antonio
[J]. PLOS ONE, 2009, 4 (04):
[42] Time distribution of recurrence risk of oesophageal squamous cell carcinoma with complete resection (R0) in a Chinese population
Zhu, Jian-Fei
Feng, Xing-Yu
Zhang, Xue-Wen
Wen, Yin-Sheng
Lin, Peng
Cai, Ling
Zhang, Lan-Jun
[J]. EUROPEAN JOURNAL OF CARDIO-THORACIC SURGERY, 2015, 48 (06) : 899 - 905
[43] On the basic reproduction number R0 in sexual activity models for HIV/AIDS epidemics:: Example from Yunnan, China
Bacaer, Nicolas
Abdurahman, Xamxinur
Ye, Jianli
Auger, Pierre
[J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2007, 4 (04) : 595 - 607
[44] R0 May Not Tell Us Everything: Transient Disease Dynamics of Some SIR Models Over Patchy Environments
Li, Ao
Zou, Xingfu
[J]. BULLETIN OF MATHEMATICAL BIOLOGY, 2024, 86 (04)
[45] Estimation of the reproduction ratio (R0) of bluetongue based on serological field data and comparison with other BTV transmission models
Santman-Berends, I. M. G. A.
Stegeman, J. A.
Vellema, P.
van Schaik, G.
[J]. PREVENTIVE VETERINARY MEDICINE, 2013, 108 (04) : 276 - 284
[46] Please provide us with a reasonable definition for curative R0 resection in Barrett's esophagus neoplasia; which one should we choose?
Pioche, Mathieu
O'Brien, Marc
Rivory, Jerome
[J]. ENDOSCOPY INTERNATIONAL OPEN, 2015, 3 (06) : E566 - E568
[47] Influence of contact heterogeneity on TB reproduction ratio R0 in a free-living brushtail possum Trichosurus vulpecula population
Porphyre, Thibaud
Stevenson, Mark
Jackson, Ron
McKenzie, Joanna
[J]. VETERINARY RESEARCH, 2008, 39 (03)
[48] A personalized surgical approach to advanced ovarian cancer based on multiple predictive models for R0 resection: A prospective cohort study
Feng, Z.
Wen, H.
Chen, X.
Ju, X.
Liu, S.
Jiang, Z.
Bi, R.
Wu, X.
[J]. GYNECOLOGIC ONCOLOGY, 2018, 149 : 99 - 99
[49] Multiple models to evaluate the prognostic factors of disease progression after R0 esophagectomy for Chinese patients with squamous cell carcinoma
Hu, Qingqing
Cao, Yuqin
Zhou, Yuan
Li, Chengqiang
Zhang, Yajie
Zhang, Yongjing
Qiu, Hong
Li, Hecheng
[J]. PHARMACOEPIDEMIOLOGY AND DRUG SAFETY, 2023, 32 : 78 - 78
[50] Demographic population cycles and R-0 in discrete-time epidemic models
van den Driessche, P.
Yakubu, Abdul-Aziz
[J]. JOURNAL OF BIOLOGICAL DYNAMICS, 2018, 12 (01) : 961 - 982

← 1 2 3 4 5 →