# Local Bifurcations in a Nonlinear Model of a Bioreactor

Serdica Journal of Computing (2009)

- Volume: 3, Issue: 2, page 107-132
- ISSN: 1312-6555

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topDimitrova, 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 -

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