Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Journal of Computing, Vol. 3, No 2, (2009), 107p-132p
We 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.
This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02–