There are 3 mangas: Vampire Knight, Vampire Knight Guilty, And Vampire Knight Destiny. They are very good mangas. Vampire Knight is also an ongoing sieries!
Since it is still an ongoing manga series there isn't a complete set of volumes, I think there are 15 with a new volume on the way o something like that. But new volumes are still getting released so there isn't a exact number yet ^^ Chapters so far: 86 (hope a new one comes out soon)
I'm pretty sure manga is the comix so in that case there are 15 libros so far it least in America. Although if tu go online o download manga reader as an app there are a lot más chapters ranging farther then book 15. I hope I answered your question.