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arXiv · 1208.5476

On characteristics of an ordinary differential equation and a related inverse problem in epidemiology

Ralph Brinks
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Abstract

In this work we examine the properties of a recently described ordinary differential equation that relates the age-specific prevalence of a chronic disease with the incidence and mortalities of the diseased and healthy persons. The equation has been used to estimate the incidence from prevalence data, which is an inverse problem. The ill-posedness of this problem is proven, too.

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Ralph Brinks. 2012-08-27. On characteristics of an ordinary differential equation and a related inverse problem in epidemiology. https://arxiv.org/abs/1208.5476

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