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In this article, we use the illness-death model to present a mathematicalframework for studying the compression of morbidity (COM) hypothesis. It turnsout that questions about COM are completely determined by the transition ratesin the illness-death model and a closely related partial differential equation.By this, the COM hypothesis is analytically tractable. To demonstrate theusefulness of the mathematical framework, an example is given, which has beenmotivated by empirical findings from Germany.

Morbidity, mortality and the illness-death model