yes plugin must be running on the vBulletin in question;
it's a free plugin for the server.
Quote:
Q: How much does it cost?
A: As a forum owner you are free to activate Tapatalk in your forum, and you are free to remove/deactivate it anytime you want to. Q: Which forum system does it currently support?
A: Currently phpBB3 3.x, vBulletin 3.6 to 4.x, xenForo, IPBoard 3.x, SMF 1.1.11+/2.x, MyBB 1.4/1.6, bbPress 1.1/2.0 and Kunena 1.6+ are supported. Other forum system might also support Tapatalk with plugins developed by third party developers using Tapatalk API.
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http://www.tapatalk.com/faq.php