Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake

DOI10.1016/j.chaos.2004.05.049zbMath1062.92069OpenAlexW2122662780MaRDI QIDQ1771677

Shigui Ruan, Wanbiao Ma, Guifang Fu

Publication date: 18 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.05.049

Mathematics Subject Classification ID

Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

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• 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
• 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