The influence of assumptions on generation time distributions in epidemic models

Mathematical Biosciences

Volumn 270, Issue , 2015, Pages 81-89

  Svensson, Åke ^a  

^a STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

Basic reproduction number; Epidemic curve; Epidemic models; Generation time distribution; Kermack McKendrick model

Indexed keywords

CELL PROLIFERATION; EPIDEMIOLOGY; STOCHASTIC SYSTEMS;

BASIC REPRODUCTION NUMBER; EPIDEMIC CURVE; EPIDEMIC MODELS; GENERATION TIME; KERMACK-MCKENDRICK MODEL;

STOCHASTIC MODELS;

DISEASE SPREAD; EPIDEMIC; INFECTIOUS DISEASE; STOCHASTICITY;

ARTICLE; DISEASE TRANSMISSION; EPIDEMIC; FINITE ELEMENT ANALYSIS; GENERATION TIME DISTRIBUTION; HUMAN; MATHEMATICAL COMPUTING; OUTCOME ASSESSMENT; PRIMARY INFECTION; PROCESS DEVELOPMENT; SECONDARY INFECTION; SIMULATION; STATISTICAL DISTRIBUTION; BASIC REPRODUCTION NUMBER; BIOLOGICAL MODEL; COMMUNICABLE DISEASES; MATHEMATICAL PHENOMENA; NONPARAMETRIC TEST; STATISTICAL MODEL; STATISTICS AND NUMERICAL DATA; TIME FACTOR; TRANSMISSION;

BASIC REPRODUCTION NUMBER; COMMUNICABLE DISEASES; EPIDEMICS; HUMANS; MATHEMATICAL CONCEPTS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; STATISTICS, NONPARAMETRIC; TIME FACTORS;

EID: 84947563611     PISSN: 00255564     EISSN: 18793134     Source Type: Journal    
DOI: 10.1016/j.mbs.2015.10.006     Document Type: Article

References (13)

1. Aalen O.O., Borgan Ø., Gjessing H.K. Survival and event history analysis - A process point of view 2008, Springer, New York.
2. Andersson H., Britton T. Stochastic epidemic models and their statistical analysis 2000, Springer, New York.
3. Becker N.G. Martingale methods for the analysis of epidemic data. Stat. Methods Med. Res. 1993, 2(1):93-112.
4. Fine P.E.M. The interval between successive cases of an infectious disease. Am. J. Epidemiol. 2003, 158(11):1039-1047.
5. Haccou P., Jagers P., Vatutin V.A. Branching Processes: Variation, Growth, and Extinction of Populations 2005, Cambridge University Press.
6. Kenah E., Lipsitch M., Robins J.M. Generation interval contraction and epidemic data analysis. Math. Biosci. 2008, 213(1):71-79.
7. Kermack W.O., McKendrick A.G. A contribution to the mathematical theory of epidemics. Proc. R. Soc. Lond. Ser. A 1927, 115:700-721.
8. Kimmel M., Axelrod D.E. Branching Processes in Biology 2002, Springer.
9. Linnik J.V., Ostrovskij I.V. Decomposition of Random Variables and Vectors 1977, American Mathematical Society.
10. Svensson Å A note on generation times in epidemic models. Math. Biosci. 2007, 208(1):300-311.
11. Scalia Tomba G., Svensson Å., Asikainen T., Giesecke J. Some model based considerations on observing generation times for communicable diseases. Math. Biosci. 2010, 223(1):24-31.
12. Wallinga J., Lipsitch M. How generation intervals shape the relationship between growth rates and reproductive numbers. Proc. R. Soc. B-Biol. Sci. 2007, 274(1609):599-604.
13. Wearing H.J., Rohani P., Keeling M.J. Appropriate models for the management of infectious diseases. PLoS Med. 2005, 2(7):621-627.