The Principle of Linearized Stability in Age-Structured Diffusive Populations
Analysis of PDEs
2022-01-03 v1
Abstract
The principle of linearized stability is established for age-structured diffusive populations incorporating nonlinear death and birth processes. More precisely, asymptotic exponential stability is shown for equilibria for which the semigroup associated with the linearization at the equiblibrium has a negative growth bound. The result is derived in an abstract framework and applied in concrete situations.
Cite
@article{arxiv.2112.15005,
title = {The Principle of Linearized Stability in Age-Structured Diffusive Populations},
author = {Christoph Walker and Josef Zehetbauer},
journal= {arXiv preprint arXiv:2112.15005},
year = {2022}
}