Asymptotic behaviour of a structured population model on a space of measures
Analysis of PDEs
2022-05-17 v2
Abstract
In this paper we consider a physiologically structured population model with distributed states at birth, formulated on the space of non-negative Radon measures. Using a characterisation of the pre-dual space of bounded Lipschitz functions, we show how to apply the theory of strongly continuous positive semigroups to such a model. In particular, we establish the exponential convergence of solutions to a one-dimensional global attractor.
Keywords
Cite
@article{arxiv.1902.06096,
title = {Asymptotic behaviour of a structured population model on a space of measures},
author = {József Z. Farkas and Piotr Gwiazda and Anna Marciniak-Czochra},
journal= {arXiv preprint arXiv:1902.06096},
year = {2022}
}