A three dimensional chemostat with quadratic yields

DOI10.1007/s10910-005-6908-0zbMath1107.34043OpenAlexW2037796273MaRDI QIDQ2503699

Xun-Cheng Huang, Le-Min Zhu

Publication date: 22 September 2006

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

Full work available at URL: https://doi.org/10.1007/s10910-005-6908-0

zbMATH Keywords

limit cycleHopf bifurcationcontinuous culturevariable yield

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) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (6)

Impulsive perturbation and bifurcation of solutions for a model of chemostat with variable yield ⋮ Toxic action and antibiotic in the chemostat: Permanence and extinction of a model with functional response ⋮ A note on competition in the bioreactor with toxin ⋮ Limit cycles in chemostat with constant yields ⋮ Bifurcation in the stable manifold of the bioreactor with \(n\)\,th and \(m\)\,th order polynomial yields ⋮ Bifurcation in the stable manifold of a chemostat with general polynomial yields

Cites Work

• A third order autonomous differential equation with almost periodic solutions
• Hopf bifurcations for a variable yield continuous fermentation model
• Mathematical models of microbial growth and competition in the chemostat regulated by cell-bound extracellular enzymes
• Multiple limit cycles in the chemostat with variable yield
• Stability of a general predator-prey model
• Microbial Competition
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms

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