Some similarities are bleeding. You would bleed from the nose and eyes as the red death caused you to bleed from all of your pores. You are also in a lot of pain. They both spread very easily. To spread Ebola it could be caught by breathing after someone has coughed. To spread the Red Death it is very easy as well and could only take a cough.
Some differences are the time of the Ebola out break and the time that Poe wrote the story. If you had the Red Death you would die in about thirty minutes after catching it. It might take a couple weeks for Ebola to kill you. If you