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
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
[1]   PROBABILISTIC PROJECTIONS OF HIV PREVALENCE USING BAYESIAN MELDING [J].
Alkema, Leontine ;
Raftery, Adrian E. ;
Clark, Samuel J. .
ANNALS OF APPLIED STATISTICS, 2007, 1 (01) :229-248
[2]  
ALTIZER S, 2006, J ANIM ECOL, V9, P467
[3]   Definition and estimation of an actual reproduction number describing past infectious disease transmission: application to HIV epidemics among homosexual men in Denmark, Norway and Sweden [J].
Amundsen, EJ ;
Stigum, H ;
Rottingen, JA ;
Aalen, OO .
EPIDEMIOLOGY AND INFECTION, 2004, 132 (06) :1139-1149
[4]  
ANDERSON R M, 1991
[5]  
[Anonymous], 2000, MATH EPIDEMIOLOGY IN
[6]   SEASONALITY AND PERIOD-DOUBLING BIFURCATIONS IN AN EPIDEMIC MODEL [J].
ARON, JL ;
SCHWARTZ, IB .
JOURNAL OF THEORETICAL BIOLOGY, 1984, 110 (04) :665-679
[7]  
Bailey N. T. J., 1975, The mathematical theory of infectious diseases and its applications, V2nd
[8]   Optimal vaccination schemes for epidemics among a population of households, with application to variola minor in Brazil [J].
Ball, Frank ;
Lyne, Owen .
STATISTICAL METHODS IN MEDICAL RESEARCH, 2006, 15 (05) :481-497
[9]  
Ball F, 1997, ANN APPL PROBAB, V7, P46
[10]   Transients and attractors in epidemics [J].
Bauch, CT ;
Earn, DJD .
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 2003, 270 (1524) :1573-1578