On the long-time behaviour of age and trait structured population dynamics
Analysis of PDEs
2018-05-28 v3
Abstract
We study the long-time behaviour of a population structured by age and a phenotypic trait under a selection-mutation dynamics. By analysing spectral properties of a family of positive operators on measure spaces, we show the existence of eventually singular stationary solutions. When the stationary measures are absolutely continuous with a continuous density, we show the convergence of the dynamics to the unique equilibrium.
Keywords
Cite
@article{arxiv.1711.07688,
title = {On the long-time behaviour of age and trait structured population dynamics},
author = {Tristan Roget},
journal= {arXiv preprint arXiv:1711.07688},
year = {2018}
}