Competition in the nutrient-driven self-cycling fermentation process

DOI10.1016/j.nahs.2024.101519MaRDI QIDQ6643173

Gail S. K. Wolkowicz, Tyler Meadows, Robert J. Smith?

Publication date: 26 November 2024

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

zbMATH Keywords

impulsive differential equationscompetitor-mediated coexistenceresource competitionmicrobial dynamicsself-cycling fermentation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Biotechnology (92C75)

Cites Work

• Bacterial competition in serial transfer culture
• \(N\)-species competition in a periodic chemostat
• Growth on two limiting essential resources in a self-cycling fermentor
• Growth on multiple interactive-essential resources in a self-cycling fermentor: an impulsive differential equations approach
• Analysis of a model of nutrient driven self-cycling fermentation allowing unimodal response functions
• Competitive Exclusion in Delayed Chemostat Models with Differential Removal Rates
• Persistence in Discrete Semidynamical Systems
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• The Theory of the Chemostat
• Chain transitivity, attractivity, and strong repellors for semidynamical systems
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