Differential Equation Models in Mathematical Biology of Cancer
Prof.Alexei TSYGVINTSEV(UMPA, ENS Lyon)
Amphithéâtre Léon Motchane (I.H.E.S.)
Amphithéâtre Léon Motchane
Le Bois Marie
35, route de Chartres
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.