Persistence criteria for a chemostat with variable nutrient input and variable washout with delayed response in growth
Analysis of PDEs
2023-06-14 v2 Classical Analysis and ODEs
Dynamical Systems
Abstract
We study a general chemostat model with a discrete-time delay between consumption and growth. The goal of this article is to provide sufficient and necessary conditions for persistence. This extends previous works in the matter. Furthermore, in the particular case of periodic nutrient input and the same periodic washout with delayed response in growth, the persistence criteria are average criteria. We remark in no case we need to impose any restrictions on the size of the delay.
Cite
@article{arxiv.2204.09735,
title = {Persistence criteria for a chemostat with variable nutrient input and variable washout with delayed response in growth},
author = {Mauro Rodriguez Cartabia},
journal= {arXiv preprint arXiv:2204.09735},
year = {2023}
}
Comments
23 pages, no figure