loading page

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

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.