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Qualitative Study of a Well-Stirred Isothermal Reaction Model

Author

Listed:
  • Barbara Arcet

    (Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, SI-2000 Maribor, Slovenia)

  • Maša Dukarić

    (Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, SI-2000 Maribor, Slovenia)

  • Zhibek Kadyrsizova

    (Department of Mathematics, Nazarbayev University, Nur-Sultan, Astana 010000, Kazakhstan)

Abstract

We consider a two-dimensional system which is a mathematical model for a temporal evolution of a well-stirred isothermal reaction system. We give sufficient conditions for the existence of purely imaginary eigenvalues of the Jacobian matrix of the system at its fixed points. Moreover, we show that the system admits a supercritical Hopf bifurcation.

Suggested Citation

  • Barbara Arcet & Maša Dukarić & Zhibek Kadyrsizova, 2020. "Qualitative Study of a Well-Stirred Isothermal Reaction Model," Mathematics, MDPI, vol. 8(6), pages 1-10, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:938-:d:368717
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