A passenger with the illness passed Terminal 7 on Wednesday, April 3. This person arrived in the late morning and left Terminal 8 that night.
MORE: LAX travelers once again warned of a potential one Maserne exposure after the second case was confirmed at the airport
"That concerns me, I really wish people would have their children vaccinated, but the data is unfounded, so there is a risk to public health," said Mike McManus a traveller.
Health officials do not believe LAX is threatened with measles outbreaks.
Reports from the Centers for Disease Control and Prevention reported more than 550 measles cases in the US this year. This is the second highest level in more than two decades, and the number is expected to continue to rise.
Some travelers at LAX said they were concerned that the next person they sit next to may be infected with measles.
MORE: Some LAX travelers may have been exposed to measles, health officials warn
"If you're expecting a child, it's kind of scary to think that people are rejecting modern medicine and technology" said Will Wood, a traveler.
Measles are a very contagious disease. An infected person can release the virus into the air by coughing and sneezing and transmitting the disease to others in their vicinity. Measles may remain infectious in the air for up to two hours after a person with the virus has left an area.
"The majority of people in this area have been vaccinated and are therefore generally safe, but measles are usually a mild disease, and in the rare cases where they are not, it is the tragedy that we do have, "said a medical official of Loma Linda University Health.
The infected see symptoms only a few hours after exposure, and the infection can take seven to ten days.
A measles-infected person passed through Long Beach on March 30.
Health officials say vaccination is the best way to protect themselves from infection.
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