Dhaka, April 17 -- Rafiqul Islam paced the open grounds outside Cumilla Medical College Hospital (COMCH), cradling his eight-month-old grandson, identified only as Zidan, with a cannula strapped to his tiny arm.

Inside, the heat was suffocating. It was only outside that infant could catch a breath of air.

Zidan is among dozens of children admitted with measles symptoms at the hospital, where a massive spike in infections has pushed the facility far beyond its breaking point.

With no beds available, the infant was assigned a spot on the veranda in front of the isolation unit -- a space devoid of fans or windows, where hundreds of people brush past his makeshift bed every hour.

"There is nothing we can do," Rafiqul said, visibly exhaust...