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On the age-, time- and migration dependent dynamics of diseases (1209.1371v1)
Published 6 Sep 2012 in q-bio.PE, q-bio.QM, stat.ME, and stat.OT
Abstract: This paper generalizes a previously published differential equation that describes the relation between the age-specific incidence, remission, and mortality of a disease with its prevalence. The underlying model is a simple compartment model with three states (illness-death model). In contrast to the former work, migration- and calendar time-effects are included. As an application of the theoretical findings, a hypothetical example of an irreversible disease is treated.
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