Using context clues, one can assume that, in this instance, convey means "deal". However, if you lookup the word convey, you'll see definitions like these:
- Transport or carry to a place.
- Make (an idea, impression, or feeling) known or understandable to someone.
Nowhere in any dictionary have I seen this mean "deal" or "administer". What are we doing, making the enemies understand the damage they are being dealt?
In all seriousness, though, I am going to go with the definition of "to take X damage and divide and deal it out equally to a target over Y seconds". However, I just want to be sure.