Qualitative Study of a Well-Stirred Isothermal Reaction Model

Barbara Arcet, Maša Dukarić and Zhibek Kadyrsizova
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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

Mathematics, 2020, vol. 8, issue 6, 1-10

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.

Keywords: limit cycle; Hopf bifurcation; stability; reaction kinetics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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