Hi Manasa,
In the Model Master table /DBM/V_MODEL the deletion indicator is not present thus the history cannot be retrieved.
There is no standard Authorisation object as well for the deletion check, you can create a custom object with a copy of Authorisation Object /DBM/VMCAT, remove the model catalog& add Vehicle Model & activity is already there in the object for checking the deletion.
Use the object in the code to restrict deletion of Vehicle Model.
Regards,
Sachin Balmiki