We are using the CORSICA code to model the evolution of hybrid discharges to elucidate qualitative differences between the usual current profile evolution and the observed stationary nature of the current profile in hybrid discharges. By flattening conductivity profiles in both the tearing mode region, q approx. 1.5, and inside the q=1 surface the evolution of the current profile is significantly slowed. With the addition of physics-based hyper-resistivity to model current diffusion, we will explore the possibility of generating stationary current profiles.