Identifiability problem for recovering the mortality rate in an age-structured population dynamics model
type: Dataset
description: In this article is studied the identifiability of the age-dependent mortality rate of the Von Foerster-Mc Kendrick model, from the observation of a given age group of the population. In the case where there is no renewal for the population, translated by an additional homogeneous boundary condition to the Von Foerster equation, we give a necessary and sufficient condition on the initial density that ensures the mortality rate identifiability. In the inhomogeneous case, modeled by a non local boundary condition, we make explicit a sufficicent condition for the identifiability property, and give a condition for which the identifiability problem is ill-posed. We illustrate this latter case with numercial simulations
issued: 2026-05-05T10:22:58.403294
language: en
modified: 2026-05-05T10:22:58.403298
contact point: Organization
  fn: CCSD
keyword: 35q92-35r30-92d25-93b30
keyword: age-structured-model
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: non-local-boundary-condition
keyword: parameter-identifiability
keyword: population-dynamics
keyword: transport-pde
landing page: 1741-5977

Identifiability problem for recovering the mortality rate in an age-structured population dynamics model
type: Distribution
format: HTML
issued: 2026-05-05T10:22:58.404675
modified: 2026-05-05T10:22:58.391316
access URL: https://hal.science/hal-00995676

test_moissonnage_selune
type: Agent