Differential Equation Models in Mathematical Biology of Cancer

par Prof. Alexei TSYGVINTSEV (UMPA, ENS Lyon)

vendredi 7 mars 2014, 14:30 → 15:30 Europe/Paris

Amphithéâtre Léon Motchane (I.H.E.S.)

In this talk we discuss modern mathematical models arising from modeling of tumor-immune system interactions. They are described as systems of ordinary differential equations of generalized Lotka-Volterra type. The corresponding vector fields are rational functions of dimension 2 or 3 containing many free parameters. The elementary qualitative theory can be applied to investigate the solutions of these equations. In particular, we derive conditions for global stability of certain equilibrium points using the Lyapunov functions method.