hi, thanks for posting.
probably you have dry,chapped lips
with some oozing with secondary infection and formation of white slough.
it is regrowing because of the trivial trauma due to peeling and wiping
do the following
Warm saline Compresses
apply tripple action antibiotic twice a day
dont peel or wipe the area
Antiinflamatory tablets and antibiotic by doctor's advise
Hope thia answers your query