In an updated FAQ, Activision Support has revealed that Call of Duty: Black Ops 3’s Awakening DLC will the be only DLC map pack that will come to last-gen consoles.
Q: Will any future DLC map packs come out for PlayStation 3?
We do not have plans for any DLC to follow Awakening on PlayStation 3.
Their updated FAQ also states that, as previously revealed, there is no Season Pass for last-gen players. The only way to buy Awakening DLC on last-gen will be as a standalone pack for $14.99.
Activision Support also says that there’s no plans for any additional Zombies content for last-gen, either:
Q: Is this the end of Zombies content on PlayStation 3, with no continuation of the story?
Yes, there are no plans for future DLC content on PlayStation 3.
Activision announced earlier this week that the Awakening DLC pack will be available on April 5th on PlayStation 3 and will come at a later date to Xbox 360.
SOURCE: Activision Support