With India preparing to make residents 18 and older eligible for a coronavirus vaccine starting Saturday, Dr. Aqsa Shaikh emailed the country’s largest drug manufacturer this week asking for doses for the vaccination center she runs in New Delhi.

The response was not encouraging: The company, the Serum Institute of India, said it was so overwhelmed by demand that it could take five or six months for Dr. Shaikh to get the 3,000 doses per month she requested.

“When I read that email, images of mass burials appeared in front of my eyes,” she said. “We may have to shut down the center now if the government doesn’t chip in.”