  This paper investigates the incompressible limit of a system modelling the
growth of two cells population. The model describes the dynamics of cell
densities, driven by pressure exclusion and cell proliferation. It has been
shown that solutions to this system of partial differential equations have the
segregation property, meaning that two population initially segregated remain
segregated. This work is devoted to the incompressible limit of such system
towards a free boundary Hele Shaw type model for two cell populations.
