I'm a fan of the anime, but I was ready to tell you that it's probably not related to the anime in any possible way, but then I saw the chiropterans......
Other than that, it's generic people with impossible super powers. So, I went on Wikipedia....
http://en.wikipedia.org/wiki/Blood:_The_Last_Vampire
It's probably going to be more like what's shown in the above link than it will be to the series Blood +