wool full length coat?

I just took my beautiful full length white wool coat out of the closet and it seems maybe moths have gotten to it. The coat has areas everywhere where it looks like the wool has been eaten away or rubbed off, but didn't touch the backing. How do I fix this problem without getting rid of my hundreds of dollars coat? Is there any kind of synthetic spray-on wool in a can or..... That option would work great for me, but have no idea if there is such a thing. HELP!!!!