Mathematical models of infectious disease transmission

被引：434
作者：
Grassly, Nicholas C. [1 ]
Fraser, Christophe [1 ]
机构：
[1] Univ London Imperial Coll Sci Technol & Med, Dept Infect Dis Epidemiol, Ctr Outbreak Anal & Modelling, MRC, London W2 1PG, England
来源：
NATURE REVIEWS MICROBIOLOGY | 2008年 / 6卷 / 06期
基金：
英国医学研究理事会;
关键词：
D O I：
10.1038/nrmicro1845
中图分类号：
Q93 [微生物学];
学科分类号：
071005 ; 100705 ;
摘要：
Mathematical analysis and modelling is central to infectious disease epidemiology. Here, we provide an intuitive introduction to the process of disease transmission, how this stochastic process can be represented mathematically and how this mathematical representation can be used to analyse the emergent dynamics of observed epidemics. Progress in mathematical analysis and modelling is of fundamental importance to our growing understanding of pathogen evolution and ecology. The fit of mathematical models to surveillance data has informed both scientific research and health policy. This Review is illustrated throughout by such applications and ends with suggestions of open challenges in mathematical epidemiology.
引用
收藏
页码：477 / 487
页数：11
相关论文
共 95 条
[91]   Rates of HIV-1 transmission per coital act, by stage of HIV-1 infection, in Rakai, Uganda [J].
Wawer, MJ ;
Gray, RH ;
Sewankambo, NK ;
Serwadda, D ;
Li, XB ;
Laeyendecker, O ;
Kiwanuka, N ;
Kigozi, G ;
Kiddugavu, M ;
Lutalo, T ;
Nalugoda, F ;
Wabwire-Mangen, F ;
Meehan, MP ;
Quinn, TC .
JOURNAL OF INFECTIOUS DISEASES, 2005, 191 (09) :1403-1409
[92]   Is HIV out of control in the UK? An example of analysing patterns of HIV spreading using incidence-to-prevalence ratios [J].
White, Peter J. ;
Ward, Helen ;
Garnett, Geoff P. .
AIDS, 2006, 20 (14) :1898-1901
[93]   Heterogeneities in the transmission of infectious agents: Implications for the design of control programs [J].
Woolhouse, MEJ ;
Dye, C ;
Etard, JF ;
Smith, T ;
Charlwood, JD ;
Garnett, GP ;
Hagan, P ;
Hii, JLK ;
Ndhlovu, PD ;
Quinnell, RJ ;
Watts, CH ;
Chandiwana, SK ;
Anderson, RM .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1997, 94 (01) :338-342
[94]   Epidemiological implications of the contact network structure for cattle farms and the 20-80 rule [J].
Woolhouse, MEJ ;
Shaw, DJ ;
Matthews, L ;
Liu, WC ;
Mellor, DJ ;
Thomas, MR .
BIOLOGY LETTERS, 2005, 1 (03) :350-352
[95]   Evidence of airborne transmission of the severe acute respiratory syndrome virus [J].
Yu, ITS ;
Li, YG ;
Wong, TW ;
Tam, W ;
Chan, AT ;
Lee, JHW ;
Leung, DYC ;
Ho, T .
NEW ENGLAND JOURNAL OF MEDICINE, 2004, 350 (17) :1731-1739
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