Mr. Herbert, who has been slow to enact restrictions aimed at slowing the spread of the coronavirus, announced new rules that would apply statewide, including canceling high school extracurricular activities and limiting social gatherings to within households.
But he did not close bars or restaurants and declined to impose restrictions on churches.
In Utah, the increase in coronavirus cases — more than 2,000 new infections a day — has sent ripples of alarm throughout Salt Lake City. Stores began limiting purchases of certain items like toilet paper and cleaning supplies. Shelves in a local Costco last weekend were low on staples like pasta and flour.
In Nebraska, Gov. Pete Ricketts, a Republican, announced a series of specific restrictions on Monday that stopped short of any sweeping directive. People can still eat indoors at restaurants, but dining will be limited to eight people per table. Masks will be required in some businesses — but only if there is close contact between people for 15 minutes or more. Dancing at weddings will not be allowed — unless people dance at their own tables.
Gov. J.B. Pritzker of Illinois said on Monday that he would impose more stringent restrictions on three regions of the state, including suburbs of Chicago and Southern Illinois, that are seeing surges in coronavirus infections.
“The virus is winning the war by now,” Mr. Pritzker said, urging the public to wear masks. “The situation has worsened considerably in certain areas of the state.”
In New York City, Mayor Bill de Blasio warned on Monday that the city was “getting dangerously close” to a second wave and said that further lockdowns were possible if New Yorkers did not regain control of the virus. “Unfortunately, it could mean even having to shut down parts of our economy again,” he said.
At Mr. Biden’s closed-door briefing with his Covid advisory board, which took place remotely over a video conference call on Monday, three leaders of the panel provided updates on the pandemic while others members of the group introduced themselves, according to a person familiar with the discussion.