Séminaire de Mathématique
# Differential Equation Models in Mathematical Biology of Cancer

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Europe/Paris

Amphithéâtre Léon Motchane (I.H.E.S.)
### Amphithéâtre Léon Motchane

#### I.H.E.S.

Le Bois Marie
35, route de Chartres
91440 Bures-sur-Yvette

Description

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.

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