Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
This paper deals with minimum elimination vaccination programs for mumps in the UK. A partial differential equation compartmental model is used to describe the spread of the disease. Pre-vaccination age-structured serological data is used to estimate the force of infection in the absence of immunization. Homogeneous, proportional and symmetric mixing are considered. Using the equilibrium equations, for each mixing assumption estimates of the basic reproduction number R0 and the minimum elimination immunization proportions for single age and two age vaccination programs are presented.
Rocznik
Tom
Strony
MI13--22
Opis fizyczny
Bibliogr. 10 poz., rys., tab.
Twórcy
autor
- Department of Statistics and Modelling Science, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, U.K.
autor
Bibliografia
- [1] ANDERSON, R.M. and MAY, R.M., Infectious diseases of humans: dynamics and control, Oxford University Press, Oxford, 1991.
- [2] BENENSON, A.S., Control of communicable diseases in man, Sixteenth Edition, American Public Health Association, Washington D.C., 1990.
- [3] DIETZ, K. and SCHENZLE, D., Proportionate mixing for age-dependent disease transmission, Journal of Mathematical Biology, Vol. 22, pp.117-120, 1985.
- [4] FARRINGTON, C.P., Modelling forces of infection for measles, mumps and rubella, Statistics in Medicine, Vol. 9, pp.953-967, 1990.
- [5] FARRINGTON, C.P., Private Communication, 1995.
- [6] 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.
- [7] GREENHALGH, D. and SFIKAS, N., Mathematical modelling of UK rubella vaccination programs. Journal of Medical Informatics and Technologies, Vol. 3, pp.MI-3-MI-11, 2002.
- [8] GOVERNMENT STATISTICAL SERVICE, OPCS Monitor: Infectious diseases, 1992, MB2 93, 1993.
- [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] 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-PWA4-0019-0004