In this study, we employ a simple mesoscale model (GFDM) to investigate the dominant control parameters for track continuity associated with the passage of a tropical cyclone over an idealized, mesoscale mountain. The influences of three potential control parameters, which include Vmax/Nh, Vmax/U, and U/Nh, where Vmax, N, h, and U are the maximum tangential wind of the cyclone, Brunt-Vaisala frequency, mountain height, and basic wind speed, respectively, on the track continuity associated with a tropical cyclone passing through a mesoscale mountain are examined by performing a series of numerical experiments. We found that when Vmax/Nh>1.25 the track is continuous; Otherwise, it is discontinuous. The track continuity is more or less independent of the other two parameters. Thus, we conclude that the track continuity associated with a tropical cyclone passing through a mesoscale mountain range is correlates best with the non-dimensional parameter, Vmax/Nh. The tropical cyclone is deflected to the north when the Froude number associated with the basic flow (U/Nh) is very small. Otherwise, it will be deflected to the south. The track deflection of a tropical cyclone influenced by the mesoscale mountain range is also explained by the induction mechanism, which is closely related to the formation and movement of the secondary vortices.