Original scientific paper
The 3-D bifurcation in a chemostat with n th and m th yields
Xuncheng Huang
; Yangzhou Polytechnic University, Yangzhou, CHINA
Yuping Zhou
; Yangzhou Polytechnic University, Yangzhou, CHINA
Abstract
The structure of solutions of the three dimensional chemostat competition system is analysed. The stability of equilibrium points and the three dimensional Hopf bifurcation of the system are discussed. The conditions of the existence of limit cycles on the two dimensional stable manifold when one microorganism vanishes are obtained. Some examples are used to show the applicability of the results.
Keywords
chemostat, variable yield, equilibrium point, 3-D bifurcation.
Hrčak ID:
295227
URI
Publication date:
9.12.2006.
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