Durant (elbow) and Person (ankle) were both ruled out after missing a short week of practice for the Falcons (5-0). Durant will be missing his second straight game.
James Stone gets his first start of the season at center, always a crucial position for the visiting team in the raucous Superdome.
Star receiver Julio Jones is expected to play despite lingering hamstring and toe issues. He took part in Wednesday's light workout before the team left for New Orleans.