2004 Chevy Tahoe Bose Amp keeps speakers on.

My tahoe's battery drains if I don't drive my car every day. I've narrowed it down to the fact that my speakers make the slightest white noise (have to put my ear to the speakers to hear), so the amp isn't turning off the speakers. When I unplug the harness from the back of the amp; the problem goes away. Could I have a faulty amp or should I do a little more investigation into the wiring or other components?

Could it be a switch/relay in the amp itself, ground, or?

MY RPO code is U2K. I have the Bose factory system.

Thanks in advance!