Persistence criteria for a chemostat with variable nutrient input and variable washout with delayed response in growth

Mauro Rodriguez Cartabia

Chaos, Solitons & Fractals, 2023, vol. 172, issue C

Abstract: We study a general single-species chemostat model with non-autonomous input and washout, and a discrete-time delay between consumption of the nutrient and growth. The goal of this article is to provide sufficient and necessary conditions for persistence. The persistence criteria obtained here extend previous works done for the autonomous model with delay and for the non-autonomous model without delay. Furthermore, in the particular case of periodic nutrient input and the same periodic washout with delayed response in growth, the persistence criteria can be expressed in terms of the average of the involved functions. We remark in no case we need to impose any restrictions on the size of the delay.

Keywords: Chemostat; Persistence; Delay differential equations (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077923004150
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:172:y:2023:i:c:s0960077923004150

DOI: 10.1016/j.chaos.2023.113514

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().