WWZ
We need to learn from zombie apocalypse movies. World War Z, partly filmed in Glasgow, showed North Korea alone survived the zombie apocalypse because the dictator had everyone else's teeth removed.The vector of disease transmission there was biting by teeth.
The vector of disease transmission here is kids touching their faces with their hands.
So instead of killing all the kids, we just amputate their hands.
Or gloves. Gloves could work.