A note on competition in the bioreactor with toxin

DOI10.1007/s10910-006-9140-7zbMath1127.92020OpenAlexW2042856427MaRDI QIDQ2468704

Xun-Cheng Huang, Le-Min Zhu

Publication date: 25 January 2008

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

Full work available at URL: https://doi.org/10.1007/s10910-006-9140-7

zbMATH Keywords

limit cyclesbifurcationvariable yields

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Biochemistry, molecular biology (92C40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (6)

Analysis of a chemostat model with variable yield coefficient: Tessier kinetics ⋮ Global analysis of continuous flow bioreactor and membrane reactor models with death and maintenance ⋮ Long time behaviour of a stochastic model for continuous flow bioreactor ⋮ Periodic solution of a chemostat model with variable yield and impulsive state feedback control ⋮ Limit cycles of a three-dimensional bio-reactor with inhibition responses ⋮ The 3‐D bifurcation and limit cycles in a food‐chain model

Cites Work

• Unnamed Item
• Relative positions of limit cycles in the continuous culture vessel with variable yield
• A third order autonomous differential equation with almost periodic solutions
• Hopf bifurcations for a variable yield continuous fermentation model
• Counterexamples to the Seifert conjecture and opening closed leaves of foliations
• Competition in the chemostat when one competitor produces a toxin
• Multiple limit cycles in the chemostat with variable yield
• Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor
• A three dimensional chemostat with quadratic yields
• Competition in the bioreactor with general quadratic yields when one competitor produces a toxin
• 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
• The Theory of the Chemostat

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