Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4500723 | Mathematical Biosciences | 2009 | 10 Pages |
Abstract
We perform a bifurcation analysis of the mathematical model of Jones and Kompala [K.D. Jones, D.S. Kompala, Cybernetic model of the growth dynamics of Saccharomyces cerevisiae in batch and continuous cultures, J. Biotechnol. 71 (1999) 105–131]. Stable oscillations arise via Andronov–Hopf bifurcations and exist for intermediate values of the dilution rate as has been noted from experiments previously. A variety of discontinuity induced bifurcations arise from a lack of global differentiability. We identify and classify discontinuous bifurcations including several codimension-two scenarios. Bifurcation diagrams are explained by a general unfolding of these singularities.
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Agricultural and Biological Sciences (General)
Authors
D.J.W. Simpson, D.S. Kompala, J.D. Meiss,