The operating diagram for a model of competition in a chemostat with an external lethal inhibitor

DOI10.3934/DCDSB.2019203zbMath1437.34055OpenAlexW4288944593WikidataQ127196881 ScholiaQ127196881MaRDI QIDQ1987145

Bachir Bar, Tewfik Sari

Publication date: 9 April 2020

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019203

zbMATH Keywords

stabilitycompetitionchemostatinhibitoroperating diagram

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (8)

A competition model in the chemostat with allelopathy and substrate inhibition ⋮ Performance study of two serial interconnected chemostats with mortality ⋮ Substrate inhibition can produce coexistence and limit cycles in the chemostat model with allelopathy ⋮ A Mathematical Model of Anaerobic Digestion with Syntrophic Relationship, Substrate Inhibition, and Distinct Removal Rates ⋮ Global analysis of a model of competition in the chemostat with internal inhibitor ⋮ Mathematical analysis of a three-tiered food-web in the chemostat ⋮ Operating diagrams for a three-tiered microbial food web in the chemostat ⋮ Mortality can produce limit cycles in density-dependent models with a predator-prey relationship

Cites Work

• Unnamed Item
• Emergent behaviour in a chlorophenol-mineralising three-tiered microbial `food web'
• Competition for a single resource and coexistence of several species in the chemostat
• A density-dependent model of competition for one resource in the chemostat
• Competition in the gradostat: The role of the communication rate
• Feedback-mediated coexistence and oscillations in the chemostat
• A survey of mathematical models of competition with an inhibitor.
• Global dynamics of the chemostat with different removal rates and variable yields
• The operating diagram of a model of two competitors in a chemostat with an external inhibitor
• Generalised approach to modelling a three-tiered microbial food-web
• A competition model of the chemostat with an external inhibitor
• Mathematical model of anaerobic digestion in a chemostat: effects of syntrophy and inhibition
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• Analysis of a Model of Two Competitors in a Chemostat with an External Inhibitor
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates
• The Chemostat
• The Theory of the Chemostat
• Competition in the presence of a lethal external inhibitor
• Competitive exclusion in a discrete-time, size-structured chemostat model

This page was built for publication: The operating diagram for a model of competition in a chemostat with an external lethal inhibitor