The model 10 will have a recoil lug on the barrel, the Axis will have it built into the stock. The Axis is built off a long action, the model 10 a short action I believe. Better magazine in the model 10 I think.
I personally would pay the extra for the model 10 but I do have and Axis XP that I traded for which shoots 3/4" or better with factory ammo so I have no complaints about it really.