Modeling to inform infectious disease control

Modeling to Inform Infectious Disease Control

Volumn , Issue , 2015, Pages 1-208

  Becker, Niels G ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

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[No Author keywords available]

Indexed keywords

EID: 85127994610     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/b18377     Document Type: Book

References (42)

1. Anderson, R.M. and May, R.M. (1991). Infectious Diseases of Humans. Dynamics and Control. Oxford University Press.
2. Athreya, K.B. and Ney, P.E. (2004). Branching Processes. New York: Dover.
3. Bailey, N.T.J. (1975). The Mathematical Theory of Infectious Diseases and its Applications. London: Griffin.
4. Ball, F.G. and Lyne, O.D. (2002). Optimal vaccination policies for stochastic epidemics among a population of households. Mathematical Biosciences, 177, 333-354.
5. Ball F., Mollison, D. and Scalia-Tomba G. (1997). Epidemics with two levels of mixing. The Annals of Applied Probability, 7, 46-89.
6. Bartlett, M.S. (1949). Some evolutionary stochastic processes. Journal of the Royal Statistical Society, Series B, 11, 211-229.
7. Bartoszynski, R. (1972). On a certain model of an epidemic. Applicationes Math- ematicae, 13, 139-151.
8. Becker, N.G. (1977). On a general epidemic model. Theoretical Population Biology. 11, 23-36. (correction: ibid 14, 498.)
9. Becker, N.G. (1989). Analysis of Infectious Disease Data. CRC Press.
10. Becker, N.G. (1993). Martingale methods for the analysis of epidemic data. Sta-tistical Methods in Medical Research 2, 93-112.
11. Becker, N.G. and Dietz, K. (1995). The effect of household distribution on trans-mission and control of highly infectious diseases. Mathematical Biosciences, 127, 207-219.
12. Becker, N.G. and Hall, R. (1996). Immunization levels for preventing epidemics in a community of households made up of individuals of various types. Math-ematical Biosciences, 132, 205-216.
13. Becker, N.G. and Starczak, D. (1997). Optimal vaccination strategies for a com-munity of households. Mathematical Biosciences, 139, 117-132.
14. Becker, N. G. and Starczak, D. (1998). The effect of random vaccine response on the vaccination coverage required to prevent epidemics. Mathematical Biosciences, 154, 117-135.
15. Becker, N.G. and Utev, S. (1998). The effect of community structure on the immunity coverage required to prevent epidemics, Mathematical Biosciences, 147, 23-39.
16. Britton, T. (1998). Estimation in multitype epidemics. Journal of the Royal Sta-tistical Society, Series B, 60, 663-679.
17. Britton, T. and Becker, N.G. (2000). Estimating the immunity coverage required to prevent epidemics in a community of households. Biostatistics, 1, 389-402.
18. Caley, P., Philp, D.J. and McCracken, K. (2008). Quantifying social distancing arising from pandemic influenza. Journal of The Royal Society Interface, 5, 631-639.
19. Cauchemez, S., Ferguson, N. M., Wachtel, C., Tegnell, A., Saour, G., Duncan, B. and Nicoll, A. (2009). Closure of schools during an influenza pandemic. The Lancet Infectious Diseases, 9, 473-481.
20. Cauchemez, S., Valleron, A. J., Boelle, P. Y., Flahault, A. and Ferguson, N. M. (2008). Estimating the impact of school closure on influenza transmission from Sentinel data. Nature, 452, 750-754.
21. Farrington, P. (2003). Modelling Epidemics. Open University Worldwide Ltd.
22. Ferguson, N.M., Cummings, D.A., Fraser, C., Cajka, J.C., Cooley, P.C. and Burke, D.S. (2006). Strategies for mitigating an influenza pandemic. Nature, 442, 448-452.
23. Glass, K. and Barnes, B. (2007). How much would closing schools reduce trans-mission during an influenza pandemic? Epidemiology, 18, 623-628.
24. Glass, R.J., Glass, L.M., Beyeler, W.E. and Min, H.J. (2006). Targeted social distancing design for pandemic influenza. Emerging Infectious Diseases, 12, 1671-1681.
25. Hall, R. and Becker, N.G. (1996). Preventing epidemics in a community of house-holds. Epidemiology and Infection, 117, 443-455.
26. Halloran, M.E., Longini, I.R. and Struchner, C.J. (2010). Design and Analysis of Vaccine Studies. New York: Springer.
27. Halloran, M.E., Struchiner, C.J. and Longini, I.M. (1997). Study designs for evaluating different efficacy and effectiveness aspects of vaccines. American, Journal of Epidemiology, 146, 789-803.
28. Harris, T.E. (2002). The Theory of Branching Processes. Courier Dover Publica-tions.
29. Heasman, M.A. and Reid, D.D. (1961). Theory and observation in family epidemics of the common cold. British Journal of Preventive and Social Medicine, 15, 12-16.
30. Jewell, N.P. and Shiboski, S.C. (1990). Statistical analysis of HIV infectivity based on partner studies. Biometrics, 46, 1133-1150.
31. Kendall, D.G. (1956). Deterministic and stochastic epidemics in closed populations. Proceedings of the 3rd Berkeley Symposium on Mathematical Statistics and Probability, 4, 149-165.
32. Kermack, W.O. and McKendrick, A.G. (1927). A contribution to the mathematical theory of epidemics. Proceedings of the Royal Society of London, Series A, 115, 700-721.
33. Ma, J. and Earn, D. J. (2006). Generality of the final size formula for an epidemic of a newly invading infectious disease. Bulletin of Mathematical Biology, 68, 679-702.
34. Mott, J.L. (1963). The distribution of the time-to-emptiness of a discrete dam under steady demand. Journal of the Royal Statistical Society B, 25, 137-139.
35. Rodrigues-da-Silva G., Rabello S.I. and Angulo, J.J. (1963). Epidemic of variola minor in a suburb of Sao Paulo. Public Health, Reports, 78, 165-171.
36. von Bahr, B. and Martin-Lof, A. (1980). Threshold limit theorems for some epi-demic processes. Advances in Applied Probability, 12, 319-349.
37. Wallinga, J. and Teunis, P. (2004). Different epidemic curves for severe acute respiratory syndrome reveal similar impacts of control measures. American Journal of Epidemiology, 160, 509-516.
38. Waugh, W.A.O'N. (1958). Conditioned Markov processes. Biometrika, 45, 241-249.
39. White, L.F. and Pagano, M. (2008). Transmissibility of the influenza virus in the 1918 pandemic. PLoS ONE, 3, e1498.
40. Whittle, P. (1955). The outcome of a stochastic epidemic - a note on Bailey's paper. Biometrika, 42, 116-122.
41. World Health Organization (1971a). Smallpox surveillance. The Weekly Epidemi-ological Record, 46, 376-379.
42. World Health Organization (1971b). The smallpox situation. WHO Chronicle, 25, 396-401.