李晓月, 千美华, 杨建平, 黄启昌
Abstract
We study a chemostat system with two parameters, S0-initial density and D-flow-speed of the solution. At first, a generalization of the traditional Hopf bifurcation theorem is given. Then, an existence theorem for the Hopf bifurcation of the chemostat system is presented.
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We study a chemostat system with two parameters, S0-initial density and D-flow-speed of the solution. At first, a generalization of the traditional Hopf bifurcation theorem is given. Then, an existence theorem for the Hopf bifurcation of the chemostat system is presented.
Key concepts: Chemostat, Hopf bifurcation, Mathematics, Generalization, Bogdanov–Takens bifurcation, Bifurcation, Transcritical bifurcation, Control theory (sociology)