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Mathematical modelling of UK rubella vaccination programs

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this article we discuss mathematical modelling of vaccination programs for rubella in the UK. We briefly discuss rubella before outlining the underlying mathematical model. Age-structured serological data is used to estimate the force of infection in the absence of vaccination and hence the mixing matrix. Homogeneous, proportional and symmetric mixing are considered. The estimated mixing matrix is used to evaluate the basic reproduction number R0 and minimum elimination vaccination programs using one stage and two stage vaccination strategies.
Rocznik
Tom
Strony
MI3--11
Opis fizyczny
Bibliogr. 11 poz., rys., tab.
Twórcy
  • Department of Statistics and Modelling Science, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, U.K.
autor
  • Novartis Pharma AG, Basel, Switzerland
Bibliografia
  • [1] Anderson, R.M. and May, R.M., Vaccination against rubella and measles: quantitative investigations of different policies, Cambridge Journal of Hygiene, Vol. 90, pp.259-325, 1983.
  • [2] Anderson, R.M. and May, R.M., Age-related changes in the rate of disease transmission: implication for the design of vaccination programmes, Cambridge Journal of Hygiene, Vol. 94, pp.365-436, 1985.
  • [3] Anderson, R.M. and May, R.M., Infectious diseases of humans: dynamics and control, Oxford University Press, Oxford, 1991.
  • [4] Benenson, A.S., Control of communicable diseases in man, Sixteenth Edition, American Public Health Association, Washington D.C., 1990.
  • [5] Dietz, K. and Schenzle, D., Proportionate mixing for age-dependent disease transmission, Journal of Mathematical Biology, Vol. 22, pp.117-120, 1985.
  • [6] Farrington, C.P., Modelling forces of infection for measles, mumps and rubella, Statistics in Medicine, Vol. 9, pp.953-967, 1990.
  • [7] Farrington, C.P., Private Communication, 1995.
  • [8] Greenhalgh, D. and Dietz, K., Some bounds on estimates for reproductive ratios derived from the age specific force of infection. Mathematical Biosciences, Vol. 124, pp.9-57, 1994.
  • [9] Keiding, N., Age-specific incidence and prevalence: a statistical perspective, Journal of the Royal Statistical Society, Series A, Vol. 154, pp.371-412, 1991.
  • [10] Macnalty, A.S., Butterworths Medical Dictionary, Butterworth, 1965.
  • [11] Preston, S.H., Keyfitz, N. and Schoen, R., Causes of Death, Lifetables for National Populations. Studies in Population Series, Seminar Press, London/New York, 1972.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0023-0006
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