I predict that we won't see a steady trend. Recently, the spread within China has been slowed by extensive quarantine measures... but factories, schools and assorted other currently closed facilities can't stay closed forever. Then there's the question of how long it will take until a new outbreak gets going in a big city somewhere else where they lack the same resources as China. Then there's the question of how much spring conditions will affect the spread when they come in, or how much tropical / summer conditions may affect current spread in other latitudes. And the question of whether all this surveillance will drive the evolution of a milder, less symptomatic strain that can slip through the net more easily but that also should also kill fewer people.
A lot of unknowns, in short. Many of which can lead to significant changes in the rate of transmission and the rate of death, one way or the other.