Bifurcation for a functional yield chemostat when one competitor produces a toxin

DOI10.1016/j.jmaa.2006.06.062zbMath1153.37458OpenAlexW2046537661MaRDI QIDQ1001246

Houqin Su, Le-Min Zhu, Xun-Cheng Huang

Publication date: 17 February 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.062

zbMATH Keywords

limit cyclesHopf bifurcationchemostattoxinfunctional yields

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)

Related Items (9)

Analysis of a chemostat model with variable yield coefficient: Tessier kinetics ⋮ Multiple coexistence solutions to the unstirred chemostat model with plasmid and toxin ⋮ Global analysis of continuous flow bioreactor and membrane reactor models with death and maintenance ⋮ Coexistence solutions and their stability of an unstirred chemostat model with toxins ⋮ Qualitative analysis of the chemostat model with variable yield and a time delay ⋮ Relaxed Lyapunov criteria for robust global stabilisation of non-linear systems ⋮ Toxin-mediated competition in weakly motile bacteria ⋮ The 3‐D bifurcation and limit cycles in a food‐chain model ⋮ A new small-gain theorem with an application to the stabilization of the chemostat

Cites Work

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• 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

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