Epidemium

"The world we know is populated by epidemics never heard before, one different for each continent and with various characteristics. The bravest doctors in the world are willing to cross their continent to reach a teleportation portal that will take them to the future where they will take the treatment to save their population from a tragic end. The same portal will lead them back to the present world where they will have to return to the point where they left with the care they have taken"
Who will be the first to save his own population? Who will be the fastest?