Local Bifurcations in a Nonlinear Model of a Bioreactor

Dimitrova, Neli. "Local Bifurcations in a Nonlinear Model of a Bioreactor." Serdica Journal of Computing 3.2 (2009): 107-132. <http://eudml.org/doc/11444>.

@article{Dimitrova2009,
abstract = {This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02– 359/2008.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.},
author = {Dimitrova, Neli},
journal = {Serdica Journal of Computing},
keywords = {Continuously Stirred Bioreactor; Nonlinear Model; Equilibrium Points; Transcritical Bifurcations; Hopf Bifurcations; bioreactor; transcritical bifurcation; Hopf bifurcation; limit cycle; stability},
language = {eng},
number = {2},
pages = {107-132},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Local Bifurcations in a Nonlinear Model of a Bioreactor},
url = {http://eudml.org/doc/11444},
volume = {3},
year = {2009},
}

TY - JOUR
AU - Dimitrova, Neli
TI - Local Bifurcations in a Nonlinear Model of a Bioreactor
JO - Serdica Journal of Computing
PY - 2009
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 3
IS - 2
SP - 107
EP - 132
AB - This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02– 359/2008.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.
LA - eng
KW - Continuously Stirred Bioreactor; Nonlinear Model; Equilibrium Points; Transcritical Bifurcations; Hopf Bifurcations; bioreactor; transcritical bifurcation; Hopf bifurcation; limit cycle; stability
UR - http://eudml.org/doc/11444
ER -