New York City has a one-week reserve of medical supplies to care for any New Yorker who is sick, mayor Bill de Blasio said on Sunday, as the number of cases in the city crossed 33,700, which was more than half the total in the state.

“We have enough supplies to get to a week from today, with the exception of ventilators, we’re going to need at least several hundred more ventilators very quickly,” de Blasio said in an appearance on Sunday morning on CNN. “We are going to need a reinforcement.’’

De Blasio’s comments come as New York City’s 911 system is overwhelmed, hospitals in the New York area are deluged with new coronavirus cases and medical staff warn of shortages of personal protective equipment.

The mayor said he was also concerned about a shortage of medical personnel and said he had made a direct request to Trump to send more military and civilian doctors and nurses from around the country.

“Our frontline healthcare workers are giving their all, they’re in harm’s way. And, you know, we need to get them relief. We need to get them support and protection, but also relief. They can’t keep up at this pace,” de Blasio said.

On Sunday, governor Andrew M. Cuomo said the total number of cases in New York was 59,513, an increase of nearly 7,200 confirmed from the day before. More than half of the cases, or 33,768, are in New York City.

The number of deaths in the state was 965, up 237 from the day before — the largest one-day increase in deaths since the outbreak began.

About 8,500 people are currently hospitalised, an increase of 16 per cent from Saturday to Sunday. Of those, 2,037 are in intensive care units, which are equipped with ventilators. Cuomo said he extended his order for all nonessential workers to stay home until April 15.

Speaker Nancy Pelosi put the blame for the nation’s flawed response to the pandemic squarely on President Donald Trump. “His denial at the beginning was deadly,” Pelosi, a California Democrat, said on CNN’s State of the Union. “Now I think the best thing to do is to prevent more loss of life.”

The Centres for Disease Control and Prevention (CDC) issued a formal advisory late on Saturday urging the residents of New York, New Jersey and Connecticut to “refrain from nonessential domestic travel for 14 days effective immediately”.

The advisory does not apply to “employees of critical infrastructure industries”, the agency said. That includes trucking, public health professionals, financial services and food supply workers.

Earlier on Saturday, Trump had suggested the states might be quarantined — a more severe restriction — but offered no details about how his administration would enforce it. Hours later, Trump tweeted that he had spoken to the governors of the three states and that the quarantine “will not be necessary”.

He said that he had asked the CDC to issue the “strong” travel advisory to be implemented by the governors.