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<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="https://dk.um.si/IzpisGradiva.php?id=89791"><dc:title>Stability analysis of the singular points and Hopf bifurcations of a tumor growth control model</dc:title><dc:creator>Drexler,	Dániel András	(Avtor)
	</dc:creator><dc:creator>Nagy,	Ilona	(Avtor)
	</dc:creator><dc:creator>Romanovski,	Valery	(Avtor)
	</dc:creator><dc:subject>bifurcation</dc:subject><dc:subject>cancer therapy</dc:subject><dc:subject>limit cycle</dc:subject><dc:subject>singular point</dc:subject><dc:subject>tumor therapy</dc:subject><dc:subject>tumor control</dc:subject><dc:description>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.</dc:description><dc:publisher>Wiley</dc:publisher><dc:date>2024</dc:date><dc:date>2024-08-12 12:34:04</dc:date><dc:type>Članek v reviji</dc:type><dc:identifier>89791</dc:identifier><dc:language>sl</dc:language><dc:rights>© 2024 The Authors</dc:rights></rdf:Description></rdf:RDF>