23 citations · 42 across the 25 of their papers we have counts for
16 papers · 1 filter
Numerical considerations about the SIR epidemic model with infection age
Ralph Brinks, Annika Hoyer
We analyse the infection-age-dependent SIR model from a numerical point of view. First, we present an algorithm for calculating the solution the infection-age-structured SIR model…
Estimation of the actual disease occurrence based on official case numbers during a COVID outbreak in Germany 2020
Ralph Brinks, Annika Hoyer
Since the beginning of March 2020, the cumulative numbers of cases of infection with the novel coronavirus SARS-CoV-2 in Germany have been reported on a daily basis. The reports or…
Estimation of the excess mortality in chronic diseases from prevalence and incidence data
Ralph Brinks
Aggregated health data such as claims data from health insurances become more and more available for research purposes. Estimates of excess mortality from prevalence and incidence…
New ways of estimating excess mortality of chronic diseases: Insights from the illness-death model
Ralph Brinks
Recently, we have shown that the age-specific prevalence of a disease can be related to the transition rates in the illness-death model via a partial differential equation (PDE). I…
On Keiding's Equation and its relation to differential equations about prevalence and incidence in chronic disease epidemiology
Ralph Brinks
We study the relation between the age-specific prevalence, incidence and mortality in an illness-death model consisting of the three states Healthy, Ill, Dead. The dependency on th…
How to assess case-finding in chronic diseases: Comparison of different indices
Ralph Brinks
Recently, we have proposed a new illness-death model that comprises a state of undiagnosed chronic disease preceding the diagnosed disease. Based on this model, the question arises…