Case fatality proportion.

A precise definition of case fatality proportion for compartmental disease transmission models with disease induced mortality rate is given. This is applied in classical epidemic modeling frameworks to models with multiple infectious stages, with multi-groups, with spatial patches, and with age of infection. It is shown that the case fatality proportion is the sum over all stages of the product of the probability of dying from the disease at a given stage and the probability of surviving to that stage. The derived expressions for case fatality can be used to estimate the disease induced death rates from more readily available data.