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Qualitative study of a well-stirred isotermal reaction model
  • Barbara ARCET,
  • Maša DUKARIĆ,
  • Zhibek KADYRSIZOVA
Barbara ARCET
Center for Applied Mathematics and Theoretical Physics

Corresponding Author:[email protected]

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Maša DUKARIĆ
Center for Applied Mathematics and Theoretical Physics
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Zhibek KADYRSIZOVA
Nazarbayev University
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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.