
I would say a trip to the vet to identify the problem.Mange is a mite than can be caught mainly from another infected animal including areas that foxes have been. If this is the problem a change of food will not help, proper treatment from the vet is needed
and sooner rather than later because it can be very painfull and distressing for the animal if left (similar to scabies in humans.)
As far as best food for a gsd I would say it si personal choices together with what suits your dog. My gsd was originally on RC which is good food used and recommended by many. I now prefer to use raw food as I like the idea and benifits that I feel are availbale from this type of feeding and my dog prefers raw to dry.