What's on on your entry/exit, eg PIR or door contact?, it sounds like your exit timer is running.
Have you any zone's LED's lit on your keypad?
Let us know, and ignore kash because he has just instructed you to open your panel and disconnect the battery without switching the power of to your panel, really dangerous that, the mains voltage within the panel can kill.
It's highly unlikely your backup battery is at fault here, in the mean time google for your alarm's engineering manual so I can go through a walk test procedure. It's easier for all if you can refer to the manual as well.
e manno
July 2012