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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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/6/938 |
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| author | Barbara Arcet Maša Dukarić Zhibek Kadyrsizova |
| author_facet | Barbara Arcet Maša Dukarić Zhibek Kadyrsizova |
| author_sort | Barbara Arcet |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T19:17:44Z |
| format | Article |
| id | doaj.art-340cf6e695e2488882a36332bbea2670 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:17:44Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-340cf6e695e2488882a36332bbea26702023-11-20T03:11:18ZengMDPI AGMathematics2227-73902020-06-018693810.3390/math8060938Qualitative Study of a Well-Stirred Isothermal Reaction ModelBarbara Arcet0Maša Dukarić1Zhibek Kadyrsizova2Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, SI-2000 Maribor, SloveniaCenter for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, SI-2000 Maribor, SloveniaDepartment of Mathematics, Nazarbayev University, Nur-Sultan, Astana 010000, KazakhstanWe 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.https://www.mdpi.com/2227-7390/8/6/938limit cycleHopf bifurcationstabilityreaction kinetics |
| spellingShingle | Barbara Arcet Maša Dukarić Zhibek Kadyrsizova Qualitative Study of a Well-Stirred Isothermal Reaction Model Mathematics limit cycle Hopf bifurcation stability reaction kinetics |
| title | Qualitative Study of a Well-Stirred Isothermal Reaction Model |
| title_full | Qualitative Study of a Well-Stirred Isothermal Reaction Model |
| title_fullStr | Qualitative Study of a Well-Stirred Isothermal Reaction Model |
| title_full_unstemmed | Qualitative Study of a Well-Stirred Isothermal Reaction Model |
| title_short | Qualitative Study of a Well-Stirred Isothermal Reaction Model |
| title_sort | qualitative study of a well stirred isothermal reaction model |
| topic | limit cycle Hopf bifurcation stability reaction kinetics |
| url | https://www.mdpi.com/2227-7390/8/6/938 |
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