Munch did not title this painting "Vampire." He called it "Love and Pain" and it was only later that it picked up the name and interpretation of a man locked in a vampire's embrace. Munch maintained it was nothing more than a woman kissing a man on the neck. The Nazis declared it morally 'degenerate.'
Some thought it was about his visits to prostitutes, yet others saw it as some sort of macabre fantasy about the death of his favorite sister. Evidently Munch remained ambiguous about the deeper meaning behind it.
One of my favorite episodes from Men in Black The Series (highly underrated show, it holds up very well even today) was the one where one of Edgar's brothers come to earth to kill Elle.
(Apologies for the quality, this was the only full version of the episode I could find on youtube).