The operating diagram of a model of two competitors in a chemostat with an external inhibitor

DOI10.1016/j.mbs.2018.05.004zbMath1402.34048OpenAlexW2804569377WikidataQ88871547 ScholiaQ88871547MaRDI QIDQ1989665

Tewfik Sari, Mohamed Dellal, Mustapha Lakrib

Publication date: 26 October 2018

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2018.05.004

zbMATH Keywords

stabilitycompetitionchemostatinhibitoroperating diagram

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Related Items (13)

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 ⋮ Stationary distribution of a chemostat model with distributed delay and stochastic perturbations ⋮ The operating diagram for a model of competition in a chemostat with an external lethal inhibitor ⋮ 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 ⋮ Analysis on steady states of a competition system with nonlinear diffusion terms ⋮ 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 ⋮ Competition in the chemostat with an undesirable lethal competitor ⋮ DYNAMICAL BEHAVIOR OF STOCHASTIC COMPETITION BETWEEN PLASMID-BEARING AND PLASMID-FREE ORGANISMS IN A CHEMOSTAT MODEL

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
• Practical coexistence of two species in the chemostat -- a slow-fast characterization
• Competition in the chemostat when one competitor produces a toxin
• A survey of mathematical models of competition with an inhibitor.
• Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor
• Competitive exclusion for chemostat equations with variable yields
• Global dynamics of the chemostat with different removal rates and variable yields
• Analysis of a model for the effects of an external toxin on anaerobic digestion
• Generalised approach to modelling a three-tiered microbial food-web
• An allelopathy based model for the \textit{Listeria} overgrowth phenomenon
• Mathematical model of anaerobic digestion in a chemostat: effects of syntrophy and inhibition
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• 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
• Limiting Behavior for Competing Species
• Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates
• The Chemostat
• The Theory of the Chemostat
• The Morbidostat: A Bio-reactor That Promotes Selection for Drug Resistance in Bacteria
• Competition in the presence of a lethal external inhibitor
• Periodic solutions in a model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor
• A competition model with dynamically allocated inhibitor production

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