A three-dimensional chemostat with quadratic yields

DOI10.1007/S10910-005-6476-3zbMath1217.34048OpenAlexW4254566922MaRDI QIDQ551999

Xun-Cheng Huang, Le-Min Zhu

Publication date: 21 July 2011

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

Full work available at URL: https://doi.org/10.1007/s10910-005-6476-3

zbMATH Keywords

limit cyclesHopf 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)

Related Items (5)

Analysis of a chemostat model with variable yield coefficient: Tessier kinetics ⋮ Hopf bifurcation and multiple limit cycles in bio-chemical reaction of the morphogenesis process ⋮ Global analysis of continuous flow bioreactor and membrane reactor models with death and maintenance ⋮ DYNAMICAL BEHAVIOR OF A STOCHASTIC FOOD CHAIN CHEMOSTAT MODEL WITH VARIABLE YIELDS ⋮ Multiple limit cycles in an immune system

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
• Limit cycles in a general Kolmogorov model
• 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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