[Sore subject you say? He'll just poke at that a little since that's where his interest rests.]
Humans are usually too weak to go head to head with vampires. They end up dead or worse, but that depends on the world and what other influences their world can provide.
What sort of supernatural influence? Are these humans who were granted or obtained some power or did they aquire them through other means of their own desire? There are worlds where it is a choice someone makes and others where it is something bestowed on them as a gift or their destiny.