Shuts off while driving

Thanks for the response. I had the battery and alternator checked at Advanced Auto and they both checked out as working good. It gets complicated because when this happened I tried to jump the car but it wouldn't start. I took the battery out and hooked it up to my battery charger for a few hours. I reinstalled the battery and it still wouldn't start. The lights on the dash would light up, but it wouldn't turn over. I started checking the fuse box for the ignition relay or any type of fuse that could have anything to do with it. There is an aftermarket alarm in the vehicle and I noticed a very thin black wire that was just hanging there. It wasn't wired into anything. The wire harness has a fuse in the wiring. For some reason I decided to take out the fuse, and wouldn't you know it, the car started. Also before I removed the fuse, the key fob would work with locking and unlocking the car, but it wouldn't make the noise it makes when used. So, like I said, it started. But after driving it for about an hour, it stalled again and would not start. The battery was dead. I got the car home and charged the battery again and reinstalled it. Started right up. Something is causing the vehicle to stall out while driving because it's not holding a charge. But as I said I had a battery and alternator test done and they checked out in good condition, I am wondering if the alarm system is causing this to happen.