I'd be concerened this pup might have an infection or have a lowered immune system problem leading to her having demodectic mange mite problems.
You can read about these non contagious mange mites here
http://www.marvistavet.com/html/body_demodectic_mange.html
I would have your vet check this pup out as it may need help in fighting an infection or coping with the skin mites.
Hope this helps you!
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