Hopf bifurcations for a variable yield continuous fermentation model |
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Authors: | Philip S. Crooke Robert D. Tanner |
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Affiliation: | Department of Mathematics, Vanderbilt University, Nashville, TN 37235, U.S.A.;Department of Chemical Engineering, Vanderbilt University, Nashville, TN 37235, U.S.A. |
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Abstract: | In this paper the authors investigate the Hopf bifurcation of solutions to a certain mathematical model for a continuous fermentation process. In particular, it is shown that the model, which incorporates Monod kinetics and a variable yield term which depends linearly on the underlying substrate, possesses a one-parameter family of periodic solutions when certain system parameters of the model assume a specific ratio. |
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