Relative positions of limit cycles in the continuous culture vessel with variable yield

DOI10.1007/s10910-005-4837-6zbMath1217.34050OpenAlexW2053379771WikidataQ115927849 ScholiaQ115927849MaRDI QIDQ551961

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/s10910-005-4837-6

zbMATH Keywords

limit cyclesrelative positioncontinuous culturevariable yield

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25)

Related Items (10)

Analysis of a chemostat model with variable yield coefficient: Tessier kinetics ⋮ Limit cycles in a chemostat with general variable yields and growth rates ⋮ The 3-D Hopf bifurcation in bio-reactor when one competitor produces a toxin ⋮ Complex dynamics of a chemostat with variable yield and periodically impulsive perturbation on the substrate ⋮ A note on competition in the bioreactor with toxin ⋮ Limit cycles in chemostat with constant yields ⋮ Competition in the bioreactor with general quadratic yields when one competitor produces a toxin ⋮ COMPETITION BETWEEN TWO MICROORGANISMS IN THE CHEMOSTAT WITH GENERAL VARIABLE YIELDS AND GENERAL GROWTH RATES ⋮ Bifurcation for a functional yield chemostat when one competitor produces a toxin ⋮ Qualitative analysis of the chemostat model with variable yield and a time delay

Cites Work

• Multiple limit cycles for predator-prey models
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Conditions for uniqueness of limit cycles in general predator-prey systems
• Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat
• 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
• Uniqueness of limit cycles in a Liénard-type system
• Multiple limit cycles in the chemostat with variable yield
• Uniqueness of limit cycles of generalised Lienard systems and predator-prey systems
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Limiting Behavior for Competing Species

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