Zenodo
Conclusions from an integral equation about the prevalence-odds in the illness-death model for chronic diseases
By Ralph Brinks.
Abstract
This research note explores the mathematical structure of the prevalence-odds integral equation for chronic disease dynamics recently formulated by Saem and Brinks (2024). We provide a rigorous derivation of the Brunet- Struchiner partial differential equation from the integral representation under duration-independent mortality. Furthermore, we examine the strict limiting conditions under which the integral collapses into the classical epidemiological heuristic that prevalence-odds is the product of incidence and disease duration.
Keywords
- Mathematical and Theoretical Epidemiology and Ecology Models
- Integral equation
- Limiting
- Representation (politics)
- Heuristic
- Partial differential equation
- Differential equation
- Integro-differential equation
- Limit (mathematics)
- Open access
Source
This is a preprint: it has not been peer reviewed yet, and its findings may change.
Published in Zenodo (CERN European Organization for Nuclear Research). The abstract is shown as published and remains the work of its authors; read the full article at the source.
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