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International Conference on Numerical Methods and Applications

NMA 2006: Numerical Methods and Applications pp 296–303Cite as

Stability and Bifurcation Analysis of a Nonlinear Model of Bioreactor

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4310))

Abstract

The stability characteristics of a nonlinear model of a continuously stirred tank bioreactor with cell recycle are studied. Assuming that some practically important model parameters are uncertain, existence of bifurcations of equilibrium points is shown. The dynamic behaviour of the system near bifurcation points is also demonstrated. Numerical simulations in the computer algebra system Maple are presented.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Blok 8, 1113 Sofia, Bulgaria

    Neli Dimitrova

  2. Institute of Control and System Research, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Blok 2, P.O. Box 79, 1113 Sofia, Bulgaria

    Plamena Zlateva

Authors
  1. Neli Dimitrova
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  2. Plamena Zlateva
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Editor information

Todor Boyanov Stefka Dimova Krassimir Georgiev Geno Nikolov

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© 2007 Springer Berlin Heidelberg

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Dimitrova, N., Zlateva, P. (2007). Stability and Bifurcation Analysis of a Nonlinear Model of Bioreactor. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70942-8_35

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  • DOI: https://doi.org/10.1007/978-3-540-70942-8_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70940-4

  • Online ISBN: 978-3-540-70942-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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