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.
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.
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