Hopf bifurcations of a variable yield chemostat model with inhibitory exponential substrate uptake

DOI10.1016/j.chaos.2005.05.056zbMath1142.34334OpenAlexW2017631155MaRDI QIDQ943272

Guifang Fu, Wanbiao Ma

Publication date: 9 September 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.05.056

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)

Related Items (10)

Global analysis of a delayed monod type chemostat model with impulsive input on two substrates ⋮ Stochastic characteristics of a chemostat model with variable yield ⋮ Effect of delayed response in growth on the dynamics of a chemostat model with impulsive input ⋮ Stochastic characteristics and optimal control for a stochastic chemostat model with variable yield ⋮ DYNAMICAL BEHAVIOR OF A STOCHASTIC FOOD CHAIN CHEMOSTAT MODEL WITH VARIABLE YIELDS ⋮ A class of dynamic models describing microbial flocculant with nutrient competition and metabolic products in wastewater treatment ⋮ Dynamic behaviors of a turbidostat model with Tissiet functional response and discrete delay ⋮ The effects of delayed growth response on the dynamic behaviors of the Monod type chemostat model with impulsive input nutrient concentration ⋮ Qualitative analysis of the chemostat model with variable yield and a time delay ⋮ Bifurcation dynamics of a delayed chemostat system with spatial diffusion

Cites Work

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• Hopf bifurcations for a variable yield continuous fermentation model
• Bifurcation analysis of a chemostat model with a distributed delay
• Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability
• Qualitative properties of chemostat equations with time delays. II
• Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake
• Multiple limit cycles in the chemostat with variable yield
• A theoretical and empirical investigation of delayed growth response in the continuous culture of bacteria
• Limit Cycles in a Chemostat-Related Model

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