Analysis of a chemostat model with variable yield coefficient: Tessier kinetics

DOI10.1007/S10910-008-9463-7zbMath1196.92044OpenAlexW1572006432MaRDI QIDQ839373

Mark I. Nelson, Harvinder S. Sidhu

Publication date: 2 September 2009

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

Full work available at URL: https://doi.org/10.1007/s10910-008-9463-7

zbMATH Keywords

stabilitybifurcationnonlinear dynamicsbioreactorscontinuous culturevariable yieldreaction engineering

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) Ecology (92D40)

Related Items (5)

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 ⋮ Comments on ``Limit cycles in the chemostat with constant yields Mathematical and Computer Modelling 45 (2007) 927-932 ⋮ Qualitative analysis of the chemostat model with variable yield and a time delay ⋮ Bifurcation analysis of a chemostat model of plasmid-bearing and plasmid-free competition with pulsed input

Uses Software

• Unnamed Item
• HomCont

Cites Work

• Unnamed Item
• Relative positions of limit cycles in the continuous culture vessel with variable yield
• A three-dimensional chemostat with quadratic yields
• 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
• Bifurcation for a functional yield chemostat when one competitor produces a toxin
• Hopf bifurcations for a variable yield continuous fermentation model
• Multiple limit cycles in the chemostat with variable yield
• A note on competition in the bioreactor with toxin
• Limit cycles in chemostat with constant yields
• Multiple limit cycles in a continuous culture vessel with variable yield
• Analysis of a chemostat model with variable yield coefficient
• Competition in the bioreactor with general quadratic yields when one competitor produces a toxin
• A method for the complete qualitative analysis of two coupled ordinary differential equations dependent on three parameters

This page was built for publication: Analysis of a chemostat model with variable yield coefficient: Tessier kinetics