International Journal of Applied Science and Engineering
Published by Chaoyang University of Technology

Lemin Zhu and Xuncheng Huang*

Yangzhou Polytechnic University 12-903 Hao Yue Yuan, Moon Park, Yangzhou 225009, China


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A three dimensional continuous fermentation model with variable yields is proposed in this paper. The properties of the equilibrium points, the global stability, the existence of limit cycles and the Hopf bifurcation in the two dimensional stable manifold of one microorganism while the other is going to vanish in the competition are investigated by qualitative analysis of differential equations.

Keywords: continuous culture; variable yield; limit cycles; Hopf bifurcation.

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Accepted: 2005-08-15
Available Online: 2005-10-03

Cite this article:

Zhu, L., Huang, X. 2005. Bifurcation in a three dimensional continuous fermentation model. International Journal of Applied Science and Engineering, 3, 117–123.