Measles is one of the most infectious diseases known to humanity. Now, it's spread in Disneyland, a theme park visited by millions from all over the world, any of whom could have carried the potentially deadly virus back home. The first case in Arizona was reported Thursday. Here are six reasons doctors are afraid of measles: 1. It floats in the air — and stays there for hours after the sick person has left. Remember all the rumors about Ebola, most of which turned out not to be true? They are true for measles. It&'s an airborne virus that lingers in the air. Now think about all those long lines in crowded, enclosed spaces at a place like Disneyland. People infected with measles are contagious for around nine days.