English

Illness-death model with renewal

Populations and Evolution 2023-11-16 v1 Methodology

Abstract

The illness-death model for chronic conditions is combined with a renewal equation for the number of newborns taking into account possibly different fertility rates in the healthy and diseased parts of the population. The resulting boundary value problem consists of a system of partial differential equations with an integral boundary condition. As an application, the boundary value problem is applied to an example about type 2 diabetes.

Keywords

Cite

@article{arxiv.2311.09107,
  title  = {Illness-death model with renewal},
  author = {Ralph Brinks},
  journal= {arXiv preprint arXiv:2311.09107},
  year   = {2023}
}

Comments

9 pages, 5 figures

R2 v1 2026-06-28T13:22:17.894Z