| Title: | Stability analysis of the singular points and Hopf bifurcations of a tumor growth control model |
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| Authors: | ID Drexler, Dániel András (Author)
ID Nagy, Ilona (Author)
ID Romanovski, Valery (Author) |
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| Files: |  Math_Methods_in_App_Sciences_-_2024_-_Drexler_-_Stability_analysis_of_the_singular_points_and_Hopf_bifurcations_of_a_tumor_(1).pdf (2,44 MB)
MD5: 1684ECDB756CFB824D4FD90F271B75A4
 https://onlinelibrary.wiley.com/doi/10.1002/mma.9885
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FERI - Faculty of Electrical Engineering and Computer Science
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| Abstract: | We carry out qualitative analysis of a fourth-order tumor growth control model using ordinary differential equations. We show that the system has one positive equilibrium point, and its stability is independent of the feedback gain. Using a Lyapunov function method, we prove that there exist realistic parameter values for which the systems admit limit cycle oscillations due to a supercritical Hopf bifurcation. The time evolution of the state variables is also represented. |
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| Keywords: | bifurcation, cancer therapy, limit cycle, singular point, tumor therapy, tumor control |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 01.07.2022 |
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| Article acceptance date: | 14.12.2023 |
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| Publication date: | 17.01.2024 |
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| Publisher: | Wiley |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 5677-5691 |
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| Numbering: | Vol. 47, iss. 7 |
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| PID: | 20.500.12556/DKUM-89791  |
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| UDC: | 51 |
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| ISSN on article: | 1099-1476 |
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| COBISS.SI-ID: | 184526595 |
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| DOI: | 10.1002/mma.9885 |
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| Copyright: | © 2024 The Authors |
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| Publication date in DKUM: | 12.08.2024 |
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| Views: | 213 |
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| Downloads: | 58 |
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| Metadata: |    |
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| Categories: | Misc.
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