WASHINGTON — As soon as this city began offering Covid vaccines to residents 65 and older, George Jones, whose nonprofit agency runs a medical clinic, noticed something striking.

“Suddenly our clinic was full of white people,” said Mr. Jones, the head of Bread for the City, which provides services to the poor. “We’d never had that before. We serve people who are disproportionately African-American.”

SYDNEY, Australia — One case. One young security guard at a quarantine hotel who tested positive for the coronavirus and experienced minor symptoms.

That was all it took for Perth, Australia’s fourth-largest city, to snap into a complete lockdown on Sunday. One case and now two million people are staying home for at least the next five days. One case and now the top state leader, Mark McGowan, who is facing an election next month, is calling on his constituents to sacrifice for each other and the nation.