On the age-, time- and migration dependent dynamics of diseases

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.

13 pages, 4 figures

References in corpus (2)

• A new method for deriving incidence rates from prevalence data and its application to dementia in Germany
• On characteristics of an ordinary differential equation and a related inverse problem in epidemiology

Cited by in corpus (3)

• Partial differential equation about the prevalence of a chronic disease in the presence of duration dependency
• Surveillance of the Incidence of Noncommunicable Diseases (NCDs) with Prevalence Data: Theory and Application to Diabetes in Denmark
• State model for partly undetected non-communicable diseases (NCDs)