Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat with inhibitions

DOI10.1007/BF00180136zbMath0840.92028OpenAlexW2016160155MaRDI QIDQ1907238

Ting-Kung Luo, Sze-Bi Hsu

Publication date: 1 July 1996

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00180136

zbMATH Keywords

competitionchemostatnonlinear ordinary differential equationscontinuous cultureglobal asymptotic behaviorgenetically altered organismsplasmid-bearingplasmid-free organisms

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Biochemistry, molecular biology (92C40) Ecology (92D40) Applications of dynamical systems (37N99) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for smooth dynamical systems (37C75)

Related Items

Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor, The 3-D Hopf bifurcation in bio-reactor when one competitor produces a toxin, Dynamics of a plasmid chemostat model with periodic nutrient input and delayed nutrient recycling, Coexistence in the chemostat as a result of metabolic by-products, A survey of mathematical models of competition with an inhibitor., Multiplicity results for the unstirred chemostat model with general response functions, Chemostat model of competition between plasmid-bearing and plasmid-free organism with the impulsive state feedback control, Competition of plasmid-bearing and plasmid-free organisms in a chemostat: a study of bifurcation phenomena, Hopf bifurcation and analysis of equilibrium for a third-order differential equation in a model of competition, Competition between plasmid-bearing and plasmid-free organisms in a chemostat with pulsed input and washout, Competition in the presence of a lethal external inhibitor, A competition model with dynamically allocated inhibitor production, Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor, Bifurcation for a functional yield chemostat when one competitor produces a toxin, Competition in the chemostat with an undesirable lethal competitor

Cites Work

• The dynamics of bacteria-plasmid systems
• Asymptotically autonomous differential equations in the plane. II: Stricter Poincaré/Bendixson type results
• Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• 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