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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433

Abstract

FENG, Zhilan  and  GLASSER, John W.. Estimating age-specific hazard rates of infection from cross-sectional observations. Rev. Mat [online]. 2020, vol.27, n.1, pp.123-140. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v27i1.39952.

Mathematical models of pathogen transmission in age-structured host populations, can be used to design or evaluate vaccination programs. For reliable results, their forces or hazard rates of infection (FOI) must be formulated correctly and the requisite contact rates and probabilities of infection on contact estimated from suitable observations. Elsewhere, we have described methods for calculating the probabilities of infection on contact from the contact rates and FOI. Here, we present methods for estimating the FOI from cross-sectional serological surveys or disease surveillance in populations with or without concurrent vaccination. We consider both continuous and discrete age, and present estimates of the FOI for vaccinepreventable diseases that confer temporary or permanent immunity.

Keywords : epidemiological model; force of infection; parameter estimation; cross-sectional observations; serology data..

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