Global analysis of a model of competition in the chemostat with internal inhibitor

DOI10.3934/dcdsb.2020156zbMath1469.34064OpenAlexW3021937871MaRDI QIDQ2028986

Bachir Bar, Mohamed Dellal

Publication date: 3 June 2021

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.2020156

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) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (6)

A competition model in the chemostat with allelopathy and substrate inhibition ⋮ 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 ⋮ 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

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