Criterion of positivity for semilinear problems with applications in biology
Analysis of PDEs
2020-04-02 v1 Quantitative Methods
Abstract
The goal of this article is to provide an useful criterion of positivity and well-posedness for a wide range of infinite dimensional semilinear abstract Cauchy problems. This criterion is based on some weak assumptions on the non-linear part of the semilinear problem and on the existence of a strongly continuous semigroup generated by the differential operator. To illustrate a large variety of applications, we exhibit the feasibility of this criterion through three examples in mathematical biology: epidemiology, predator-prey interactions and oncology.
Keywords
Cite
@article{arxiv.1701.05314,
title = {Criterion of positivity for semilinear problems with applications in biology},
author = {Michel Duprez and Antoine Perasso},
journal= {arXiv preprint arXiv:1701.05314},
year = {2020}
}
Comments
Accepted