The human body can take 60-90 days to completely replenish 1 pint of RBC
14-30 percent of blood can be lost without side effects
The average amount of blood in men: 8-10 pints. Weighing on average: 88314.4344 grams
The average amount of blood in women 6-7 pints. Weighing on average: 74706.6633 grams
So lets say best case scenario you meet a healthy male at the upper end of the blood spectrum of 10 pints, who can lose 14 percent of his blood, 1.4 pints, without side effects and can recover the whole amount of nutritious tasty blood at the lower end of three months (I cant do maths so I averaged it) who is willing to provide said tasty blood. And say if you were to solely rely on this walking blood happy meal for the rest of your life (assuming that this males body doesn't deteriorate) you'd get 1.4 pints of blood every three months.
now lets use a vampire bat for reference of how a human vampire would feed. An average vampire bat weight 40 grams and feeds for 20 minutes, ingesting a total of 20 grams, and this process occurs every two days. scale this simple amount up to human size and we get, again on the lower end of the spectrum for maximum survivability, an average weighing woman at 74706.6633 grams, requiring 37353.3317 grams of blood. Now using the maths from earlier 1.4 pints would weigh 793.786647 grams. just a meager 36559.5451 grams of blood short of being able to survive two days.
This is why vampires dont exist. they would need to feed on an average of 47.0571429 healthy upper end human males whose bodies are fully optimised for producing blood just to survive two days, this of course being to keep these human alive. anyone wanna do the amthy thingies for killing the humans? no? ok I'll do it.
So now that we're killing our human prey we don't have to worry about them regenerating blood.
1.25 pounds being in a pint, and 566.990463 grams in a pound.
With this conversion we can yet again look to the upper end of walking blood bags with 10 pints in their blood having said meal weigh 5669.90463 grams. Again looking at the optimal scale for a human vampire requiring 37353.3317 grams of blood. It would only take 6.588 of the best blood bags to be killed for one meal, which would sustain a vampire for two days. it would take 1202.31 humans over the course of an average year, and if i got may maths right (which i'm pretty sure i didn't, please check for me) it would take 5822125.74 years for the human race, at 7000000000 to go extinct from a singular vampire.
Now: If vampires were numbering a whole species.
Im going to be using tha national geographics classification of endangered species as I can't find a clear-cut definition for how large a species' population has to be for it to be difined as a species. National geographic defines a critically endangered species as less than 10 mature individuals, using "<" rather than "≤" insinuation that a species is above the classification of vunerable as long as they number 10 or more. Yes i am being picky on mathmatical aspects even though i'm bad at maths, Let me pretend I'm good at something for once! Ok, so lets assume that all of these 9 vampires are mature and are of the exact same specifications as our priorly mentioned "mary sue" vampire. It would now only take take 646902.86 years for humanity to be rendered extinct to this group of 9.
Now, national geographic also shows that the population size that defines a vunerable species is less than 10,000 mature individuals, using "<" rather than "≤", yet again insinuation that a species is above the classification of vunerable as long as they number 10,000 or more. so lets have these blood suckers be a not endangered species by having them be a big 'ol family of 10,000. This would have them take only 582.212574 years for humanity to be rendered nothing and then days after the extinction of humanity vampires would also join us 6 feet under. I wonder who dug their graves?
Now the commonly known area for the origin of OUR pop culture vampires dates tot he early 19th century, however the concept of vampiricism has existed since the dawn of humanity's imagination as blood sucking demons lurking in the night ready to devour you has always been a prevelant fear until we began finding said blood-sucking human-devouring demons cute and/or erotic. bet the aincient mesopotanians are really proud of us for that one. but since humanity continues to growsince the 19th century i heavily doubt that they exist. In large numbers. pleasebloodsuckinghumandevouringaincientmesopotaniandemonspleasemakemeoneofyou.