I have been having that same type of thing, but I'm not on prednisone. I am nauseous, but not constantly. But it is a daily occurrence. I have tried just about everything and saltine crackers are about all that works for me. I think mine is the gastroparesis I developed since getting Lems.
It could be your prednisone because it is very hard on your stomach. Are you taking it with food? Hope you get it sorted out soon.