Qualitative Study of a Well-Stirred Isothermal Reaction Model
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Date
2020-06-08
Authors
Arcet, Barbara
Dukarić, Maša
Kadyrsizova, Zhibek
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI
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.
Description
Keywords
limit cycle, Hopf bifurcation, stability, reaction kinetics, Research Subject Categories::MATHEMATICS
Citation
Arcet, B., Dukarić, M., & Kadyrsizova, Z. (2020). Qualitative Study of a Well-Stirred Isothermal Reaction Model. Mathematics, 8(6), 938. https://doi.org/10.3390/math8060938