Here’s what you need to know:ImageA child receiving the Pfizer coronavirus vaccine in San Francisco last month.Credit…Mike Kai Chen for The New York TimesThe Pfizer-BioNTech coronavirus vaccine has been shown to be safe and highly effective in young children ages 5 to 11, the companies announced early on Monday. The news should help ease months of anxiety among parents and teachers about when children, and their close contacts, might be shielded from the coronavirus.The need is urgent: Children now account for more than one in five new cases, and the highly contagious Delta variant has sent more children into hospitals and intensive care units in the past few weeks than at any other time in the pandemic.Pfizer and BioNTech plan to apply to the Food and Drug Administration by the end of the month for authorization to use the vaccine for ages 5 to 11. If the regulatory review goes as smoothly as it did for older children and adults, millions of elementary school students could be inoculated before Halloween.Trial results for children younger than 5 are not expected until the fourth quarter of this year at the earliest, according to Dr. Bill Gruber, a senior vice president at Pfizer and a pediatrician.Pfizer and BioNTech announced the results in a statement that did not include detailed data from the trial. The findings have not yet been peer-reviewed nor published in a scientific journal.But the new results dovetail with those seen in older children and in adults, experts said.“There’s going to be a huge number of parents who are going to heave a big sigh of relief when they hear this,” said Dr. Kristin Oliver, a pediatrician and vaccine expert at Mount Sinai Hospital in New York. “We’ve been waiting for these kids to be protected.”Children have a much lower risk of Covid-19 than adults, even when exposed to the Delta variant. Still, some small number of those infected develop a life-threatening condition called multi-system inflammatory syndrome in children, or MIS-C. Others may have lingering symptoms for months.Nearly 30,000 children were hospitalized for Covid in August; the least vaccinated states reported the highest rates. At Seattle Children’s hospital, about half of the children who are admitted for Covid are older than 12, according to Dr. Danielle Zerr, a pediatric infectious diseases expert at the hospital.“I’ve been dismayed at the fact that the sickest children in our hospital with acute Covid-19 or MIS-C are children who could have been vaccinated,” Dr. Zerr said.Damarcus Crimes, 13, receiving a dose of the Pfizer vaccine while his mother, Christina, and brother, Deshaun, 13, look on in San Antonio, Texas, in May.Credit…Tamir Kalifa for The New York TimesWith Pfizer-BioNTech’s announcement on Monday that its Covid-19 vaccine had been shown to be safe and effective in low doses in children ages 5 to 11, a major question looms: How many parents will have it given to their children?If authorized by the Food and Drug Administration, the vaccine could be a game changer for millions of American families with young children and could help bolster the country’s response as the highly contagious Delta variant of the coronavirus spreads. There are about 28 million children ages 5 to 11 in the United States, far more than the 17 million adolescents ages 12 to 15 who became eligible when the Pfizer vaccine rolled out to that age group in May.But it remains to be seen how widely the vaccine will be accepted for the younger group. Uptake among older children has lagged, and polling indicates reservations among a significant chunk of parents.Lorena Tule-Romain was up early Monday morning, getting ready to ferry her 7-year-old son to school in Dallas, when she turned on the television and heard the news.“I was like, ‘oh my gosh, this is exciting,’” said Ms. Tule-Romain, 32, who felt an initial surge of hopefulness and relief. She has spent months living in limbo, declining birthday party invitations, holding off registering her son for orchestra in school and even canceling a recent trip to see her son’s grandparents in Atlanta.A vaccine for her son, she said, could change all of that.Ms. Tule-Romain will be among those eagerly waiting to learn whether federal officials authorize the vaccine for the younger age group, a step that is expected to come first on an emergency-use basis, perhaps as soon as Halloween.However the F.D.A. rules, Michelle Goebel, 36, of Carlsbad, Calif., said she is nowhere near ready to vaccinate her children, who are 8, 6 and 3, against Covid-19.Though Ms. Goebel said she had been vaccinated herself, she expressed worry about the risks for her children, in part because of the relatively small size of trials in children and the lack of long-term safety data so far. She said the potential risk from a new vaccine seemed to her to outweigh the benefit, because young children have been far less likely to become seriously sick from the virus than adults.“We absolutely are not ready,” she said.Only about 40 percent of children ages 12 to 15 have been fully vaccinated so far, compared with 66 percent of adults 18 and over, according to data from the Centers for Disease Control and Prevention. Polling indicates that parental openness to the vaccine for their children decreases with the child’s age.About 20 percent of parents of 12- to 17-year-olds said they definitely did not plan to get their child vaccinated, according to polling by the Kaiser Family Foundation published last month. The “definitely not” group grew to about 25 percent in parents of children ages 5 to 11, and 30 percent among parents of children under 5.René LaBerge, 53, of Katy, Texas, greeted the Pfizer news with cautious optimism.“I’m hopeful,” said Ms. LaBerge, who plans to vaccinate her 11-year-old son when he becomes eligible. “But I’m not impatient. I want them to do the work.”She said she had heard about some rare, but serious, side effects in children, and she was eager for federal officials to thoroughly review the data before she makes her decision.“I don’t want my son to take something that is unsafe,” she said, but she added, “I believe Covid is dangerous. There aren’t any good easy answers here.”Among the side effects scientists have been studying is myocarditis, an inflammation of the heart. In rare cases, the vaccine has led to myocarditis in young people. But a large Israeli study, based on electronic health records of two million people aged 16 and older, also found that Covid is far more likely to cause these heart problems.The Pfizer trial results were greeted enthusiastically by many school administrators and teachers’ organizations, but are unlikely to lead to immediate policy changes.“This is one huge step toward beating Covid and returning to normalcy. I don’t think it changes the conversation around vaccine requirements for kids,” said Randi Weingarten, president of the American Federation of Teachers, a national union.Ms. Weingarten predicted that there would not be widespread student vaccine mandates until the 2022-2023 school year. She noted that parents and educators were still awaiting full F.D.A. approval of vaccines for children aged 12 to 15, and that mandates for adults did not come until months after the shots first became available.A significant barrier to child vaccination, she said, were widespread conspiracy theories about the shots impacting fertility.“When people have these conversations prematurely about requirements, it adds to the distrust,” she said.Only a single large school district — Los Angeles Unified — has mandated vaccination for those students already eligible for a shot, those 12 and older. On Monday, the district said it was not ready to respond to news about the Pfizer trial results for children under 12.Mayor Bill de Blasio of New York City said Monday that the promising results from Pfizer did not change his conviction that student vaccine mandates are the wrong approach. Mayor Lori Lightfoot of Chicago said last month that student mandates would be “premature.”Historically, it is states, not individual school systems, that determine which vaccines are necessary for school attendance. All 50 states currently mandate vaccination against diseases such as polio, measles and chickenpox.Given the entrenched politicization of the coronavirus vaccine — with Republican parents much less likely to support vaccination — and the existence of widespread misinformation about the shots, many school leaders are hesitant to step out in front of the issue, and are likely to await guidance from their states on how to handle student vaccination.No state has mandated that children or adolescents be vaccinated against the coronavirus, and five states are currently banning such mandates, according to the Center on Reinventing Public Education. Travelers exiting a terminal at Los Angeles International Airport in May.Credit…Frederic J. Brown/Agence France-Presse — Getty ImagesThe Biden administration will lift travel restrictions starting in November on foreigners who are fully vaccinated against the coronavirus, reopening the country to thousands of people, including those who have been separated from family in the United States during the pandemic.The foreign travelers will need to show proof of vaccination before boarding and a negative test for the coronavirus within three days before coming to the United States, Jeff Zients, the White House pandemic coordinator, said Monday.“International travel is critical to connecting families and friends, to fueling small and large businesses, to promoting the open exchange ideas and culture,” Mr. Zients said. “That’s why, with science and public health as our guide, we have developed a new international air travel system that both enhances the safety of Americans here at home and enhances the safety of international air travel.”The administration has restricted travel for foreigners looking to fly to the United States from a group of European countries, Iran and China for more than a year.Unvaccinated Americans overseas aiming to travel home will have to clear stricter testing requirements. They will need to test negative for the coronavirus one day before traveling to the United States and show proof that they have bought a test to take after arriving in the United States, Mr. Zients said. The Centers for Disease Control and Prevention will also soon issue an order directing airlines to collect phone numbers and email addresses of travelers for a new contact-tracing system. Authorities will then follow up with the travelers after arrival to ask whether they are experiencing symptoms of the virus.The changes announced on Monday only apply to air travel and do not affect restrictions along the land border, Mr. Zients said.The Trump administration began implementing the travel bans against foreign travelers in January 2020 in the hopes of preventing the spread of disease. The effort was largely unsuccessful. The prior administration’s mangled announcements over the restrictions also led to exoduses of American citizens, with packed, chaotic airports that had porous screenings.Mr. Biden has kept the restrictions against potential travelers from the European Union, Britain, India and others, despite pleas from business leaders in need of profits from tourism, immigrant workers who traveled overseas to renew work visas to work in the United States only to be left stranded and citizens left separated from their romantic partners abroad.The White House maintained the restrictions were necessary, particularly after the spread of the contagious Delta variant this summer fueled a rise of coronavirus cases and undermined the central theme of Mr. Biden’s presidency — vaccinating Americans and getting the pandemic under control.Mr. Zients cited the pace of vaccinations administered globally as a reason for the administration’s pivot. The decision also comes on the eve of a visit by Prime Minister Boris Johnson, who was expected to press Mr. Biden to lift the ban. British officials had hoped the president would announce a relaxation of restrictions when he came to Cornwall, England, in June for the Group of 7 summit meeting and were disappointed when he did not. Their frustration has only deepened since then.The easing of the travel restrictions also comes as the administration has sought to reduce tensions with another ally in France after the United States kept Paris in the dark as they secretly negotiated an agreement with Australia to build nuclear submarines.British officials note that the United States had not imposed a similar ban on people from Caribbean nations, which had a higher rate of infection than Britain, or from Argentina, which had lower percentage of its population vaccinated. About 82 percent of people in Britain above the age of 16 have had two shots.Britain and several European Union countries allow fully vaccinated people from the United States to travel without quarantining, and officials there were annoyed when the United States did not reciprocate. The ban, European officials point out, has kept families separated since early 2020, as the coronavirus was erupting across Europe. European countries have weathered a third wave of infections propelled by the Delta variant. But in several countries, including Britain, infection rates have begun to level off and even decline.After the announcement, Giovanni Vincenti, 42 years old, an Italian professor who lives in Baltimore, thought about his grandparents abroad would finally get to meet his daughter, who was born last May.“I am trying not to cry because it’s such a beautiful day,” said Mr. Vincenti. On Monday, Mr. Vincenti’s wife, who is a Polish researcher on vaccines, was already on her computer trying to book a flight for her mother.Stephen Castle contributed reporting from London.The front desk at The Pierre in New York City last year.Credit…Angela Weiss/Agence France-Presse — Getty ImagesThe U.S. travel industry breathed a sigh of relief on Monday after the Biden administration said it would ease longstanding restrictions on international travelers, allowing those who are fully vaccinated against the coronavirus to visit the country beginning in November.The 18-month travel ban on travelers from Europe, China, Iran, South Africa, Brazil and India has been crippling for the industry, which suffered a $500 billion loss in travel expenditures in 2020, including a 79 percent decease in spending from international travel, according to the U.S. Travel Association, a trade group that promotes travel to and within the country. There were 19.4 million international visitors to the United States in 2020, less than one-quarter of the number who visited in 2019.Unvaccinated travelers from many countries, including Mexico, Canada and Japan, who have been permitted to travel to the United States before Monday’s announcement will not be allowed in once the new proclamation takes effect.Roger Dow, the president of the U.S. Travel Association, praised the lifting of the restrictions on vaccinated travelers.“The U.S. Travel Association applauds the Biden administration’s announcement of a road map to reopen air travel to vaccinated individuals from around the world, which will help revive the American economy and protect public health,” he said in a statement Monday.“This is a major turning point in the management of the virus and will accelerate the recovery of the millions of travel-related jobs that have been lost due to international travel restrictions.”Nicholas E. Calio, president of Airlines for America, an industry trade group, also applauded the new policy, which will require airlines to play a role in checking international travelers’ vaccination status. “U.S. airlines have been strong advocates for a stringent, consistent policy and are eager to safely reunite the countless families, friends and colleagues who have not seen each other in nearly two years, if not longer,” Mr. Calio said in a statement.Willie Walsh, the director general of the International Air Transport Association, a trade group of the world’s airlines, called the new approach to international travel “a step forward” for the U.S. economy, for families separated by previous rules and for managing the spread of coronavirus throughout the world. But there is still much to resolve, he said, given that along with opening up travel for many people to the United States, the new rules also prohibit travel for unvaccinated individuals from across the world.“The next challenge is finding a system to manage the risks for travelers who do not have access to vaccinations,” he said in a statement. “Data points to testing as a solution. But it is also critical that governments accelerate the global rollout of vaccines and agree on a global framework for travel where testing resources are focused on unvaccinated travelers. We must get back to a situation where the freedom to travel is available to all.”No city in the United States felt the impact of the travel ban like New York, which had the highest share of overseas travel and drew more than 13.5 million foreign visitors in 2019. International arrivals fell by as much as 93 percent in 2020, according to data from the Port Authority of New York and New Jersey, which runs the area’s airports, among other things.International visitors generate 50 percent of the city’s tourism spending and 50 percent of hotel room occupancy, NYC & Company, the city’s tourism marketing agency, said. Fred Dixon, the agency’s president and chief executive, welcomed the administration’s decision calling it “a shot in the arm for the industry.”VideotranscriptBacktranscriptNew York City Will Institute Weekly Coronavirus Testing in SchoolsMayor Bill de Blasio of New York said the city would start weekly coronavirus testing at all public schools starting next week, and relax quarantine rules for unvaccinated students to bring them in line with C.D.C. guidance.The goal is always two crucial things: first and foremost, the health and safety of our kids and our whole school community. Second, maximizing the number of kids in school every day, making sure there’s continuity, avoiding disruption, giving our kids a chance to make that comeback that we know we’re going to do this year. So we put together those two goals. We analyze the data from the first week. And with our health care team, analyze the overall situation with Covid. And we’re making some changes now on both testing and quarantine protocols, and these will take effect next week, starting on the 27th. First of all, we will now go to weekly testing. We’ll be testing in elementary, middle and high school, each school every week, and then we will change the quarantine approach and will align to the C.D.C. guidance on that. When there is a positive test in a school — excuse me, in a classroom, a positive test in a classroom — the unvaccinated students in the classroom will not have to quarantine if they are masked and three-feet distanced. That will allow more kids to safely remain in the classroom. So we’ve been looking at these two issues over the last few weeks. We looked at it in light of the data from the first week of school. We decided to make both of these changes simultaneously, and they do complement each other.Mayor Bill de Blasio of New York said the city would start weekly coronavirus testing at all public schools starting next week, and relax quarantine rules for unvaccinated students to bring them in line with C.D.C. guidance.CreditCredit…Anna Watts for The New York TimesNew York City will introduce weekly coronavirus testing at all public schools starting next week, Mayor Bill de Blasio said on Monday, as officials try to strengthen safety protocols.The city’s powerful teachers’ union had called on Sunday for the city to conduct weekly surveillance testing in schools, instead of the current policy of testing students every other week. The Centers for Disease Control and Prevention recommends weekly testing.“We’ll be testing in elementary, middle and high school — each school, every week,” the mayor said at a news conference.Mr. de Blasio, a Democrat in his final year in office, also announced a change to relax school quarantine rules and bring them into line with C.D.C. guidance: Unvaccinated students will no longer have to quarantine after having close contact with a student who tested positive — if they were masked and three feet apart at the time of the contact. The city previously required all unvaccinated close contacts of a student who tested positive to quarantine for 10 days.The new rules are set to take effect on Sept. 27, the same day that a vaccine mandate for teachers and other school staff is expected to go into effect.Mr. de Blasio insisted on Monday that he would not consider following a move in Los Angeles to require all students who are 12 and older to be vaccinated. He worries that a vaccine requirement could prompt some families to keep children home.“I believe fundamentally the goal is to get our kids in school for the foreseeable future — the best way to do that is to welcome all kids while constantly working to improve the levels of vaccination,” Mr. de Blasio said, noting that more than 70 percent of students age 12 to 17 had received at least one dose of the vaccine.Michael Mulgrew, the president of the teachers’ union, the United Federation of Teachers, wrote a letter to Mr. de Blasio on Sunday calling on the city to strengthen its testing policy.“While so far our public schools have successfully reopened, I am concerned that this year’s reduced frequency of Covid testing means that thousands of children will spend days in classrooms without the early warning system that last year made our schools among the safest places in the community,” Mr. Mulgrew said in the letter.In Times Square in Manhattan last month.Credit…John Taggart for The New York TimesTourism officials in New York City welcomed the news on Monday that restrictions on travel to the United States by those fully vaccinated against the coronavirus would be eased in November. It was a sign of hope for a city whose famed retail corridors and hotel and leisure sectors have been pummeled without international tourists during the pandemic.International visitors have been a critical driver of growth in New York City’s economy for years, helping to fuel a steady rise in the number of hotels and restaurants in the city and the jobs they support. Though travelers from abroad account for just one-fifth of the city’s visitors, they generate 50 percent of the city’s tourism spending, because they stay longer and shop more, and 50 percent of hotel room occupancy, according to Fred Dixon, the chief executive of NYC & Company, the city’s tourism promotion agency. Mr. Dixon welcomed the administration’s decision on Monday, calling it “a shot in the arm for the industry.”The restrictions will be lifted for vaccinated travelers including from European countries, which sent millions of tourists to New York City in the years before the pandemic. More than 1.25 million visitors from Britain traveled to New York City in 2018, the most from any single country, according to an analysis of tourism data by Baruch College. Britain and the rest of the European Union accounted for nearly half of all international visitors that year.Businesses that cater to tourists have been hit the hardest by the pandemic, with the restaurant, hotel and performing-arts industries sustaining the biggest and most sustained job losses. A new report from the Center for New York City Affairs at the New School showed that employment in the city’s hotel industry was still down 60 percent from prepandemic levels, and the number of jobs in full-service restaurants was still down 40 percent.“Everyone says New York is back, New York is back, but it’s not really back until tourists are back from all countries,” said Leyla Saleh, 28, a pastry chef whose father’s gift shop in Midtown was forced to shut down last year because he did not have enough business.“American tourists don’t shop like foreigners, we didn’t stand a chance,” she said. “Now we all work in different jobs to get by.”Major retail districts that depend on international tourists and their spending, notably the SoHo neighborhood and the luxury mall known as the Shops at Hudson Yards, have struggled without them.Before the pandemic, visitors to New York City from other countries peaked at 13.5 million a year in 2019, according to data compiled by NYC & Company. The figure plunged last year to 2.4 million, almost all of whom arrived before the pandemic took hold in early March and travel restrictions were imposed.NYC & Company had predicted that the figure would nearly double this year to 4.6 million, a projection that hinged on a relaxation of travel restrictions by the Biden administration.The agency has estimated that it will take until 2025 for the city to recover all of the international tourism that it lost because of the pandemic.Luke Miller, the owner of Real New York Tours, which conducts walking tours, said that for his business, the lifting of the ban on international visitors was the “best news I’ve had since the outbreak of Covid.”Before the virus, 65 to 70 percent of his business came from international travelers, Mr. Miller estimated, and he had to lay off 15 tour guides soon after the pandemic began.Jared Goldstein, an independent tour operator in New York City, said that he was thrilled by the news. His business was down more than 90 percent in 2020 from 2019, he estimated.“I’m so happy to welcome them back,” he said. Already Monday morning he’d reached out to a client in England who plans group tours to tell him that he could finally solidify his plans. The client responded promptly that he’d be bringing a group in February, Mr. Goldstein said. He welcomed the fact that only vaccinated international travelers will be permitted to visit the United States.“I’m a New Yorker and I want locals to be safe,” he said.Quality checking during the manufacture of the Covishield vaccine at the Serum Institute in Pune, India, in January.Credit…Atul Loke for The New York TimesIndia’s health minister said on Monday that the country would resume exports of Covid-19 vaccines, five months after halting shipments during its own devastating wave of infections.The health minister, Mansukh Mandaviya, said that exports would resume starting next month, and that the vaccines would help fulfill India’s commitment to Covax, the United Nations-backed vaccine sharing initiative.He said that India would produce more than 300 million vaccine doses in October and a total of at least a billion over the final three months of 2021.“We will help the world and also fulfill our commitment toward Covax,” Mr. Mandaviya said.The minister did not specify which vaccines India would supply to Covax, or how many doses. Before halting exports in April, the country exported 66.4 million doses, a combination of commercial sales, grants and shipments to Covax, which is designed mainly to help low- and middle- income countries.India’s decision comes as its domestic vaccination campaign has picked up after a slow start. The government says it expects to finish inoculating all 944 million adults in the country by December.So far, 61 percent of adults in India have received their first dose, according to government data. The two main vaccines in use are Covishield, the local name for the AstraZeneca vaccine, manufactured in India by the Serum Institute of India, and Covaxin, produced by the Indian company Bharat Biotech.The decision on exports comes days before India’s Prime Minister Narendra Modi arrives in the United States, where he is scheduled to participate in a summit including President Biden and the leaders of Australia and Japan, and to speak at the annual gathering of the U.N. General Assembly. The global vaccination effort is expected to be a focus of both meetings, and the Biden administration had been trying to persuade Mr. Modi to resume exports.India was initially expected to be the main vaccine supplier for the Covax initiative, and its export ban came as a heavy blow to the program, which is so far behind schedule that fewer than 10 percent of people in poor countries are vaccinated.India began to expand vaccine coverage to all adults in the country in May, after a devastating second wave of infections that overburdened its health care infrastructure, leaving thousands dead and many struggling to find hospital beds. The country’s total caseload stood on Monday about 318,000, the lowest in approximately six months, according to official data.A woman receiving the Pfizer-BioNTech vaccine in San Antonio, Texas, this month. The F.D.A. is expected to decide this week who should get a third Pfizer dose.Credit…Matthew Busch for The New York TimesThe Food and Drug Administration is likely to authorize Pfizer-BioNTech booster shots this week for many Americans at high risk of falling seriously ill from the coronavirus, now that a key advisory committee has voted to recommend the measure.On Friday, a panel of experts endorsed offering Pfizer booster shots for ages 65 and older, and people 16 and over who are at high risk of getting severe Covid-19 or who work in settings that make them more likely to get infected.The agency, which often follows the committee’s advice but is not required to, is expected to decide early this week. An advisory committee of the Centers for Disease Control and Prevention is scheduled to meet Wednesday and Thursday to discuss booster shots before that agency — which sets vaccine policy — issues its recommendations.On Monday, Jen Psaki, the White House press secretary, defended the federal regulatory process for signing off on booster shots and urged patience from those eager for an additional dose.“That process is in place for a reason so that you can trust what the final recommendation and the final outcome is,” she said, noting that President Biden would receive a booster shot on camera after they are cleared by federal regulators.The decision on Pfizer booster shots is just one of a series of key questions that the agency is expected to consider in coming weeks. Officials have said they expect to soon have data on whether boosters are needed for people who got the Moderna and Johnson & Johnson vaccines.Also expected this fall is a decision on a shot for children ages 5 to 11, an intensely watched issue given that about 48 million children are not yet eligible for a vaccine, but have largely returned to classrooms. On Monday, Pfizer said that a trial showed that its vaccine produced a strong immune response in children ages 5 to 11. Pfizer and BioNTech plan to apply to the F.D.A. by the end of the month for authorization to use the vaccine in these children. If the regulatory review goes as smoothly as it did for older children and adults, millions of elementary school students could be inoculated before Halloween. Officials have said they expect results from Moderna’s children’s trial later this fall.Interviewed on Sunday-morning news shows, Dr. Anthony S. Fauci, the nation’s top infectious disease doctor and an adviser to Mr. Biden, asked Americans to be patient and not to get a booster shot until they were eligible. That includes people 65 and over who received the Moderna and Johnson & Johnson vaccines.“We’re working on that right now to get the data to the F.D.A., so they can examine it and make a determination about the boosters for those people,” he said on NBC’s “Meet the Press.” “They’re not being left behind by any means.”Last month, the Biden administration proposed a plan that would have made vaccinated Americans eligible who received the Pfizer and Moderna vaccines for a booster shot eight months after their second shot. Officials had also hoped to get boosters to recipients of the one-shot Johnson & Johnson vaccine as more data came in.But the expert panel concluded that boosters were not necessary for most younger, healthier Americans, unless their jobs put them at special risk for infection.Jobs in that category would include health care workers, emergency responders and teachers, according to Dr. Peter Marks, who oversees the F.D.A.’s vaccine division.Whatever the F.D.A. decides about boosters this week, Dr. Fauci predicted it will likely be revised as more data comes in. “In real time, more and more data are accumulating,” he said on ABC’s “This Week.” “There will be a continual re-examination of that data, and potential modification of recommendations.”Dr. Francis S. Collins, the director of the National Institutes of Health, echoed those remarks on CBS’s “Face the Nation,” saying that the category of who is eligible for an extra shot was likely to be expanded in the “coming weeks.”F.D.A. officials will also spend the coming weeks and months evaluating vaccines for children under 12. On Sunday on ABC, Dr. Fauci said a decision on children’s vaccines would certainly come “this fall,” adding, “sometime in the mid- to late fall, we will be seeing enough data from the children from 11 down to 5 to be able to make a decision to vaccinate them.” A decision on vaccines for children under 5 would come after that.The flurry of decisions comes as public health officials hope to avoid a repeat of last fall and winter, when a surge of infections led to peak levels of hospitalizations and deaths in the United States.The extremely transmissible Delta variant now accounts for more than 99 percent of cases tracked in the country, according to the C.D.C. While hospitalizations and new cases have started to trend slowly downward, deaths have topped an average of 2,000 a day for the first time since March 1, according to a New York Times database. Vaccinations have been shown to protect against severe illness brought on by the variant.Dr. Fauci said on Sunday that the key to avoiding a fall and winter surge would be encouraging adults who were eligible but still unvaccinated to change their mind.“I believe if we get that overwhelming majority of the people vaccinated as we enter into the fall and winter, we can have good control over this and not have a really bad winter at all,” he said on “Meet the Press.”Dan Levin contributed reporting.GLOBAL ROUNDUPOn the Otahuhu main street in Auckland, New Zealand, last week.Credit…Phil Walter/Getty ImagesNew Zealand will ease coronavirus restrictions in Auckland, Prime Minister Jacinda Ardern said on Monday, ending nearly five weeks of the strictest lockdown in the country’s most populous city.Some businesses, including restaurants and cafes, will be allowed to reopen for takeout and delivery beginning Tuesday night, and as many as 10 people will be permitted to gather in the city for ceremonies including funerals and weddings, Ms. Ardern told reporters. In New Zealand’s four-tier system of Covid rules, Auckland will now be at Level 3, the second most restrictive. The rest of the country has been under Level 2 for the past two weeks.The measures have frustrated residents and shuttered businesses, as the country remained one of the few committed to completely eliminating the Delta variant of the coronavirus. There were 22 new cases reported on Monday, down from a peak of 83 during this outbreak. New Zealand began slowly relaxing some of the world’s strictest antivirus measures earlier this month, aiming to reopen borders to foreigners some time next year.“We keep doing the job of stamping out Covid,” Ms. Ardern said. “We are not stepping out of Level 4 because the job is done. Nor are we moving because we don’t think we can achieve the goal of stamping out Covid-19.”Other nations in the Asia Pacific region have begun to reopen despite rising numbers of new cases, acknowledging that strategies that aim to eliminate the virus may be untenable. Australian authorities have said that country will begin to reopen once 70 percent of the eligible population is vaccinated. Singapore has loosened quarantine rules for some travelers. In Vietnam, businesses are reopening, although cases are still high.Ms. Ardern insisted that the change in rules for Auckland should be considered a cautious step. Across the rest of New Zealand, restrictions at indoor gatherings, including restaurants and bars, will be further eased, allowing 100 people to gather. The new restrictions will remain in place for at least two weeks, and will be reassessed on Oct. 4.Elsewhere in the world:Vatican City will require residents, workers and visitors to show that they have immunity against Covid-19 starting Oct. 1, officials announced on Monday. The measure matches the requirement introduced last week in Italy, which surrounds the small state. The Vatican police force will check what are called Green Passes, which show whether the holder has received at least one dose of vaccine, recovered from a coronavirus infection or tested negative recently. The only exception will be for people attending Mass. Boxes of Moderna vaccines distributed through Covax, the United Nations-backed vaccine program, arriving in Nairobi, Kenya, this month.Credit…Brian Inganga/Associated PressAt a virtual summit on Wednesday, while the annual United Nations General Assembly meeting is underway, President Biden will urge other vaccine-producing countries to balance their domestic needs with a renewed focus on manufacturing and distributing doses to poor nations in desperate need of them.The push, which White House officials say seeks to inject urgency into vaccine diplomacy, will test Mr. Biden’s doctrine of furthering American interests by building global coalitions. Covax, the United Nations-backed vaccine program, is so far behind schedule that not even 10 percent of the population in poor nations is fully vaccinated, experts said. And the landscape is even more challenging now than when Covax was created in April 2020.Some nations in Asia have imposed tariffs and other trade restrictions on Covid-19 vaccines, slowing their delivery. India, home to the world’s largest vaccine maker, banned coronavirus vaccine exports in April, but announced on Monday that it would resume shipments next month. And an F.D.A. panel on Friday recommended Pfizer booster shots for those over 65 or at high risk of severe Covid, meaning that vaccine doses that could have gone to low and lower-middle income countries would remain in the United States.Officials said Wednesday’s summit would be the largest gathering of heads of state to address the coronavirus crisis. It aims to encourage pharmaceutical makers, philanthropists and nongovernmental organizations to work together toward vaccinating 70 percent of the world’s population by the time the U.N. General Assembly meets in September 2022, according to a draft document the White House sent to the summit participants.Experts estimate that 11 billion doses are necessary to achieve widespread global immunity. The United States has pledged to donate more than 600 million — more than any other nation — and the Biden administration has taken steps to expand vaccine manufacturing in the United States, India and South Africa. The 27-nation European Union aims to export 700 million doses by the end of the year.But on the heels of the United States’ calamitous withdrawal from Afghanistan last month that drew condemnation from allies and adversaries alike, the effort to rally world leaders will be closely watched by public health experts and advocates who say Mr. Biden is not living up to his pledges to make the United States the “arsenal of vaccines” for the world.