An image from Varney, the Vampire, 1848
Vampires are interesting beasts. They are extraordinarily wicked — and they will not die. Yet, they are not precisely alive. They are seductive; but rather than being procreative, they will kill. These are elements which are precisely described in the Bible.
For instance, in Genesis 3, Adam has rebelled. Adam and Eve are under the sentence of death. Therefore, God ejects them from the Garden so that they do not eat from the Tree of Life and remain in a state of Death in Life:
Genesis 3:22–24 (ESV)
22 Then the LORD God said, “Behold, the man has become like one of us in knowing good and evil. Now, lest he reach out his hand and take also of the tree of life and eat, and live forever—” 23 therefore the LORD God sent him out from the garden of Eden to work the ground from which he was taken. 24 He drove out the man, and at the east of the garden of Eden he placed the cherubim and a flaming sword that turned every way to guard the way to the tree of life.
The Vampire is a picture of Adam if he were never ejected from the Garden. The Vampire is alive and yet dead (and always ready to return to dust).
Second, the Vampire is seductive and overtly erotic. Yet, at the same time this eros does not lead to any procreation but rather to death. This is the picture of seduction in Proverbs 5:
3 For the lips of a forbidden woman drip honey,
and her speech is smoother than oil,
4 but in the end she is bitter as wormwood,
sharp as a two-edged sword.
5 Her feet go down to death;
her steps follow the path to Sheol;
6 she does not ponder the path of life;
her ways wander, and she does not know it.
And also Proverb 7:
Proverbs 7:21–23 (ESV)
21 With much seductive speech she persuades him;
with her smooth talk she compels him.
22 All at once he follows her,
as an ox goes to the slaughter,
or as a stag is caught fast
23 till an arrow pierces its liver;
as a bird rushes into a snare;
he does not know that it will cost him his life.
Finally, I once heard Dr. Grant Horner observe that the Vampire is a parody of Christ. Christ gives his blood so that the guilty made live: the innocent dies for the guilty. The Vampire takes the blood of the innocent so that the guilty may live.
The resonance here helps explain why the image of the Vampire has been compelling: the Vampire exemplifies certain elements of the nature of sin: the seduction, the desire for immorality without redemption and the death in life which sin compels.