Gibbs completed 26 of 33 passes for 305 yards, including a 62-yard TD pass to Tollette George. Gibbs had 14 carries for 40 yards, with a 3-yard scoring run that tied the game at 14.
Alabama State (0-2) outgained the Braves on the ground 109 yards to 86 in the first half, with Ellis Richardson scoring on a 37-yard run and Khalid Thomas on a 7-yarder.
But after Haiden McCraney's 29-yard field goal put Alcorn State (1-1) up 17-14 at halftime, the Braves pulled away with an improved ground game, finishing with 155 yards rushing.
Ragsdale gained 50 yards on 10 carries, scoring on a 7-yard run in the first quarter and a 25-yard run in the third.
AP College Football website: www.collegefootball.ap.org