Yes, apparently there is such a thing.

A surprisingly large number of academic studies—as in, more than one—have applied mathematical modeling to the concept of human-vampire co-existence. Using the depiction of bloodsuckers in various forms of media, from Bram Stoker’s Dracula to True Blood, these papers look at whether Earth’s vampire population would inevitably annihilate humanity, and, if so, how long it would take.