Qualitative Study of a Well-Stirred Isothermal Reaction Model

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 t...

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Bibliographic Details
Main Authors: Barbara Arcet, Maša Dukarić, Zhibek Kadyrsizova
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/6/938
Description
Summary: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.
ISSN:2227-7390