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Stability analysis of the singular points and Hopf bifurcations of a tumor growth control model [Elektronski vir]
Drexler, Dániel András ; Nagy, Ilona, matematika ; Romanovski, Valery
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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