20.500.12556/DKUM-89791 Stability analysis of the singular points and Hopf bifurcations of a tumor growth control model 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. bifurcation cancer therapy limit cycle singular point tumor therapy tumor control tumorji terapija pri raku bifurkacija true false true Wiley Angleški jezik Slovenski jezik https://onlinelibrary.wiley.com/journal/10991476 © 2024 The Authors Članek v reviji 2024-08-12 12:34:04 2024-08-12 12:34:05 2025-07-03 07:50:05 0000-00-00 00:00:00 2024 0 0 str. 5677-5691 iss. 7 Vol. 47 15 May 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2022-07-01 2023-12-14 2024-01-17 51 184526595 10.1002/mma.9885 1099-1476 Math_Methods_in_App_Sciences_-_2024_-_Drexler_-_Stability_analysis_of_the_singular_points_and_Hopf_bifurcations_of_a_tumor_(1).pdf Math_Methods_in_App_Sciences_-_2024_-_Drexler_-_Stability_analysis_of_the_singular_points_and_Hopf_bifurcations_of_a_tumor_(1).pdf 1 1684ECDB756CFB824D4FD90F271B75A4 4a683617b169b3aed23013052ebca0e233e83afbd5fcbb147e6bc34bdb8f1405 bf649d3f-5896-11ef-a285-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=182268 https://onlinelibrary.wiley.com/doi/10.1002/mma.9885 0 e9e10955-573f-11f0-bb83-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=193161 Fakulteta za elektrotehniko, računalništvo in informatiko 0 0 0