The incredible Hulk vs. The Ultimate, Doomsday? Who would win?

Hulk, an awesome powerful monster of rage that gets stronger when angrier and Doomsday, an immortal creature that adapts and evolve during battle and drastically evolve and adapt when defeated, which of these behemoths of chaos would ultimately claim the title the Unstoppable and Unbeatable. Give reasons on both sides to which would win and what advantages and disadvantages they both have, cause don't know either of them.