Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models
Analysis of PDEs
2019-01-07 v1
Abstract
In this article we first derive some sufficient conditions to establish the monotonicity and comparison principles of the semi-flow generated by non-densely defined Cauchy problems. We apply our results to a class of age structured population models. As a consequence we obtain a monotone semi-flow theory and some comparison principles for age structured models.
Cite
@article{arxiv.1901.01231,
title = {Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models},
author = {Pierre Magal and Ousmane Seydi and Feng-Bin Wang},
journal= {arXiv preprint arXiv:1901.01231},
year = {2019}
}