Premium
Stochastic differential equation modeling the prevalence of rare chronic diseases with an application to systemic lupus erythematosus
Author(s) -
Brinks Ralph,
FischerBetz Rebecca,
Landwehr Sandra,
Schneider Matthias,
Giani Guido
Publication year - 2013
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/stan.12003
Subject(s) - medicine , epidemiology , incidence (geometry) , differential diagnosis , lupus erythematosus , prevalence , immunology , pathology , mathematics , geometry , antibody
In this article we describe a system of stochastic differential equations to model the age‐specific prevalence of rare chronic diseases from incidence and mortality rates. As an application, the age profile of the prevalence of systemic lupus erythematosus in England and Wales in1995 is calculated. The results are in good agreement with the observed epidemiological measures.