Sufficient condition for compression of morbidity: Examination of the transition rates in the illness-death model

In this short note, a sufficient criterion for absolute compression of life expectancy with morbidity (LEM) is derived. The illness-death model for chronic conditions and the associated transition rates turn out to be essential for a rigorous analytical examination.To demonstrate the usefulness of the mathematical framework, a numerical example is given where the life expectancy increased and the LEM decreased.