Reproductive numbers, epidemic spread and control in a community of households

Mathematical Biosciences

Volumn 221, Issue 1, 2009, Pages 11-25

  Goldstein, E ^a   Paur, K ^b   Fraser, C ^c   Kenah, E ^d   Wallinga, J ^e,f   Lipsitch, M ^a  

^a HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

^b HARVARD UNIVERSITY   (United States)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

^d UNIVERSITY OF WASHINGTON   (United States)

^e NATIONAL INSTITUTE FOR PUBLIC HEALTH AND THE ENVIRONMENT   (Netherlands)

^f UNIVERSITY MEDICAL CENTER UTRECHT   (Netherlands)

Author keywords

Community of households; Epidemic; Growth rate; Reproductive numbers; Sellke construction; Vaccination

Indexed keywords

COMMUNITY OF HOUSEHOLDS; EPIDEMIC; REPRODUCTIVE NUMBERS; SELLKE CONSTRUCTION; VACCINATION;

LIGHT TRANSMISSION; VACCINES;

EPIDEMIOLOGY;

COMPUTER SIMULATION; DISEASE CONTROL; DISEASE SPREAD; DISEASE TRANSMISSION; EPIDEMIC; GROWTH RATE; SOCIAL NETWORK; VACCINATION;

ARTICLE; BASIC REPRODUCTION NUMBER; COMMUNICABLE DISEASE; DISEASE TRANSMISSION; EPIDEMIC; GROWTH RATE; HOUSEHOLD; IMMUNIZATION; INFECTION CONTROL; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL;

ALGORITHMS; BASIC REPRODUCTION NUMBER; COMMUNICABLE DISEASES; COMPUTER SIMULATION; FAMILY CHARACTERISTICS; HUMANS; INFLUENZA, HUMAN; MEASLES; MODELS, BIOLOGICAL; MORBIDITY; VACCINATION;

EID: 68849101420     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2009.06.002     Document Type: Article

References (22)

1. H. Andersson, T. Britton, Stochastic epidemic models and their statistical analysis, in: Springer Lecture Notes in Statistics, 2000, pp. 151.
2. Ball F., and Becker N. Control of transmission with two types of infection. Math. Biosci. 200 (2006) 170
3. Ball F., Britton T., and Lyne O. Stochastic multitype epidemic in a community of households: estimation and form of optimal vaccination schemes. Math. Biosci. 191 (2004) 19
4. Ball F., Mollison D., and Scalia-Tombda G. Epidemics with two levels of mixing. Ann. Appl. Prob. 7 1 (1997) 46
5. Ball F., and Neal P. A general model for stochastic sir epidemics with two levels of mixing. Math. Biosci. 180 (2002) 73
6. Becker N.G., and Dietz K. The effect of household distribution on transmission and control of highly infectious diseases. Math. Biosci. 127 2 (1995) 207
7. Britton T., and Becker N.G. Estimating the immunity coverage required to prevent epidemics in a community of households. Biostatistics 1 4 (2000) 389
8. Chowell G., Hengartner N., Castillo-Chavez C., Fenimore P., and Hyman J. The basic reproductive number of Ebola and the effects of public health measures: the cases of congo and uganda. J. Theor. Biol. 229 1 (2004) 119
9. Diekmann O., and Heesterbeek J.A.P. Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation (2000), John Wiley & Sons, New York
10. Ferguson N., and Dodd P. Approximate disease dynamics in household-structured populations. J. R. Soc. Interface 4 17 (2007) 1103
11. Ferguson N.M., Cummings D.A., Cauchemez S., Fraser C., Riley S., Meeyai A., Iamsirithaworn S., and Burke D.S. Strategies for containing an emerging influenza pandemic in southeast asia. Nature 437 7056 (2005) 209
12. Fraser C. Estimating individual and household reproduction numbers in an emerging epidemic. PLoS One 2 1 (2007) e758
13. Halloran M.E., Struchiner C.J., and Longini I.M. Study designs for evaluating different efficacy and effectiveness aspects of vaccines. Am. J. Epidemiol. 146 10 (1997) 789
14. Halloran M., Ferguson N.M., Eubank S., Ira M., Longini J., Cummings D.A.T., Lewis B., Xu S., Fraser C., Vullikanti A., Germann T.C., Wagener D., Beckman R., Kadau K., Barrett C., Macken C.A., Burke D.S., and Cooley P. Modeling targeted layered containment of an influenza pandemic in the United States. PNAS 105 12 (2008) 4639
15. House T., and Keeling M. Deterministic epidemic models with explicit household structure. Math. Biosci. 213 1 (2008) 29
16. Kenah E., Lipsitch M., and Robins J.M. Generation interval contraction and epidemic data analysis. Math. Biosci. 213 1 (2008) 71
17. Lipsitch M., Cohen T., Cooper B., Robins J.M., Ma S., James L., Gopalakrishna G., Chew S.K., Tan C.C., Samore M.H., Fisman D., and Murray M. Transmission dynamics and control of severe acute respiratory syndrome. Science 300 5627 (2003) 1966
18. Mills C.E., Robins J.M., and Lipsitch M. Transmissibility of 1918 pandemic influenza. Nature 432 7019 (2004) 904
19. Riley S., Wu J.T., and Leung G. Optimizing the dose of pre-pandemic influenza vaccines to reduce the infection attack rate. PLoS Med. 4 6 (2007) 1032
20. Sellke T. On the asymptotic distribution of the size of a stochastic epidemic. J. Appl. Prob. 20 (1983) 390
21. Wallinga J., and Lipsitch M. How generation intervals shape the relationship between growth rates and reproductive numbers. Proc. Biol. Sci. 274 1609 (2007) 599
22. Wallinga J., and Teunis P. Different epidemic curves for severe acute respiratory syndrome reveal similar impacts of control measures. Am. J. Epidemiol. 160 6 (2004) 509