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A continuous function model for the age-related force of infection

✍ Scribed by E. Massad; S.M. Raimundo; A.S.B. Silveira


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
848 KB
Volume
13
Category
Article
ISSN
0895-7177

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✦ Synopsis


Serological data of measles and rubella from seven non-vaccinated communities were fitted, as related to age, to a sigmoid model. This provided a continuous function which allowed the estimation of the age-related force of infection function. Epidemiological parameters, such as the average age at infection, the critical proportion to vaccinate in order to eradicate the infection, the basic reproductive rate and the optimum age to vaccinate the susceptible population, were derived from the estimated force of infection. The results were checked through numerical simulation of a compartmental model, applying the parameters estimated from the proposed analysis. The model has shown a good fitting accuracy and a good retrieving capacity of the original data.


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✍ Mi-Young Kim; Tsendauysh Selenge πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 646 KB

Continuous Galerkin finite element methods in the age-time domain are proposed to approximate the solution to the model of population dynamics with unbounded mortality (coefficient) function. Stability of the method is established and a priori L 2error estimates are obtained. Treatment of the nonloc