This should be peak season for a 12-room hotel near the train station in the Chinese industrial hub of Wuhan. The Chinese New Year usually brings in plenty of travelers and delivers profits of around $3,000 a month.

But the place is empty. Wuhan, the center of a deadly viral outbreak, is on lockdown. “There is not a single customer,’’ said the hotel’s owner, who gave only his surname, Cui. He still has to pay rent and his utility bills. Instead of counting his earnings, he’s expecting to lose $1,500 a month.

The outbreak arrives at a bad time for Wuhan, China and the world economy.

China, with the world’s No. 2 economy, was decelerating even before the coronavirus hit.

And the world economy is coping with an unexpectedly sharp slowdown in No. 7 India, which prompted the International Monetary Fund last week to downgrade its outlook for global growth this year.

The coronavirus is drawing comparisons to the SARS outbreak, which paralyzed the economies of China and Hong Kong for weeks in 2003. But what happens in China carries a lot more weight these days: In 2003, China accounted for 4 percent of global output. Now its share is 16 percent, according to the World Bank.

“A growth slowdown in China could have sizable ripple effects across Asia and the rest of the world, given the size of China’s economy and its role as the key driver of global growth in recent years,” said Eswar Prasad, a Cornell University economist and former head of the International Monetary Fund’s China division.

No one knows exactly how the outbreak will play out or what its economic impact will be.

Authorities are still trying to better understand the new virus. It is from the coronavirus family, which also can cause the common cold as well as more serious illnesses such as SARS.

So far, China has confirmed more than 4,500 coronavirus cases and more than 100 deaths.

The Chinese government has locked down Wuhan and 16 other cities in Hubei province, isolating more than 50 million people.