Theoretical analysis for a PDE-ODE system related to a Glioblastoma tumor with vasculature

英文摘要：

In this paper we study a PDE-ODE system as a simplification of a Glioblastoma model. Mainly, we prove the existence and uniqueness of global in time classical solution using a fixed point argument. Moreover, we show some stability results of the solution depending on some conditions on the parameters.