Local Bifurcations in a Nonlinear Model of a Bioreactor
Keywords:Continuously Stirred Bioreactor, Nonlinear Model, Equilibrium Points, Transcritical Bifurcations, Hopf Bifurcations
AbstractWe consider a nonlinear model of a continuously stirred bioreactor and study the stability of the equilibrium points with respect to practically important model parameters. We determine regions in the parameter space where the steady states undergo transcritical and Hopf bifurcations. In the latter case, the stability of the emerged limit cycles is also studied. Numerical simulations in the computer algebra system Maple are presented to illustrate the theoretical results.