We introduce a haptotaxis cancer invasion model that includes two
families of cancer cells. The model considers an epithelial-to-
mesenchymal-like transition between the two families as well as a
degradation and a self-reconstruction process of the extracellular
We present numerical simulations of the model and prove global
existence and uniqueness of classical solutions on two dimensional
The talk is based on a joint work with Jan Giesselmann, Mária Lukáčová-
Medvi⌣dová and Nikolaos Sfakianakis.