Image source, Reuters

New York was the early epicentre of the pandemic in the US. At one point in April the state had recorded more coronavirus cases than any single country, and it took authorities months to bring infection rates down.

On Monday, however, Governor Andrew Cuomo warned that the percentage of Covid-19 tests coming back positive has risen to 1.5% - a worrying trend for the state, where previously the number had hovered around 1%.

Health authorities said rates had risen at “an alarming rate” in some neighbourhoods, particularly in the New York City boroughs of Brooklyn and Queens. Officials are still trying to find a reason for the clusters, Mr Cuomo told reporters on Monday.

It is part of a surge in cases throughout the US. Latest figures show the country is reporting around 45,000 cases a day, compared with 40,000 a week ago and 35,000 two weeks ago. New cases have risen for two weeks in a row in 27 out of the 50 US states, according to Reuters news agency.

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Students at Queen's University in Belfast are the latest to have to self-isolate at their halls of residence, as UK universities continue to struggle with outbreaks of coronavirus.

About 100 students have been told to self-isolate after 30 people tested positive for Covid-19 at Queen's.

A spokesperson for the university said "robust protocols" were in place to minimise further spread.

Coronavirus cases at about 40 universities mean thousands of students have already had to self-isolate in the first few weeks of the new academic year - leaving them unable to attend lectures or socialise.

This includes about 1,700 students at Manchester Metropolitan University, where some students said they were being prevented from leaving by security guards and police.

• About 40 universities report coronavirus cases
• What if my university is caught up in a local lockdown?

From nurses to shopkeepers, doctors to bus drivers, more than 40,000 people have died with coronavirus across the UK. People who were dearly loved, people who may have had many more years ahead of them had the pandemic not engulfed the world.

Every day, BBC News reports the statistics, and our teams seek out the stories.

Here we have gathered tributes from family, friends and colleagues to some of those who have died.

Image source, Reuters

The US has recorded the most deaths and most infections anywhere in the world and is still reporting tens of thousands of new cases a day. On Monday, US President Donald Trump said the federal government would this week start sending out millions of rapid tests to states, and called on governors to place a priority on testing school children – though governors can use them as they choose.

Officials said 6.5 million tests will go out this week and a total of 100 million in the weeks to come. Numbers of tests per state are based on population. The US recently agreed to buy 150 million rapid tests from Abbott Laboratories in a $750 million (£583m) deal .

Trump's announcement comes just weeks before the US presidential election in November. The US president has faced strong criticism for how he has handled the pandemic, and is currently trailing Democratic challenger Joe Biden in national polls. The first presidential debate between the candidates is on Tuesday

Robert Cuffe
BBC head of statistics

We are seeing just over 5,000 recorded coronavirus deaths a day around the world at the moment.

If that pace continues, we would expect the daily count to pass two million in just over six months.

Of course, that’s a big if.

The tragedy is that the true death toll could pass two million far sooner than that.

Back in June, BBC analysis of death records in 27 countries found another 130,000 deaths that didn’t feature in the daily headline figure. That gap is surely even wider now.

In the UK, for example, the daily figure of 42,000 counts any death that happens within 28 days of a positive test. It rises to 57,000 if you include people whose death was believed to be caused by the coronavirus or who died more than 28 days after their test. It’s even higher if you include people who couldn’t get treated for other conditions because of the pandemic.

And those numbers are, sadly, likely to keep rising for some time.

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Authorities in Western Australia say a further eight crew members have tested positive from the bulk carrier Patricia Oldendorff – bringing the number of infections to 17 of 21 total crew.

Seven remain on board to operate ship while the remaining 10 have been taken to a hotel in nearby Port Hedland for quarantine. Those still on the Patricia Oldendorff reportedly have mild symptoms or none at all. The vessel arrived from Manila last week, and Western Australian authorities said all crew were “in good spirits” and have been able to speak to their families back in the Philippines.

Australia saw a huge spike in cases over the last few months which only now have begun to fall after stringent lockdown measures. The Australian Broadcasting Corporation reports that residents around Port Hedland – a major iron ore export terminal – are becoming increasingly concerned about the situation.

Port Hedland Ratepayers Association president Arnold Carter told ABC it was "amazing, shocking and disastrous", while Australian Medical Association local president Andrew Miller said more needed to be done to deal with ships.

“More and more and more of the ships that turn up in Western Australia are going to have Covid on them, and so we now need to fully understand how we are going to handle it when it happens in these regional areas that are very vulnerable,” he told the broadcaster.

Image source, Getty Images

More now on the local coronavirus restrictions coming in for parts of north-east England.

Newcastle City Council says the "knee-jerk" way central government announced the further restrictions will leave people confused by what they can and can't do.

But Skills Minister Gillian Keegan says the government is trying to simplify the message as much as possible.

“There are some different rules for different areas, but by and large the main rules are really simple. Hands face space, rule of six, and be finished with your socialising before 10 (22:00)," Keegan told BBC Breakfast.

Here are some of our useful explainers if you want to check the rules:

• Where are the UK's local lockdown areas?
• At-a-glance: What are the new coronavirus restrictions?
• Simple guide to staying safe
• What are the current rules on socialising?

The Czech Republic and Slovakia are set to declare states of emergency this week. Most big events will be banned in Slovakia from tomorrow and Czech Health Minister Roman Prymula will present proposals to the cabinet today. Czech infection rates are among the highest in Europe but have fallen in recent days.

Mein Schiff 6 was the first cruise ship to enter Greek waters since the pandemic lockdown – but it’s now arrived in the port of Piraeus for a health inspection after 12 crew members tested positive. The 922 passengers had to provide negative test certificates before boarding. Greek reports say those crew who tested positive have now tested negative.

Facemasks are being advised in the biggest Dutch cities, and cafes and restaurants will have to shut early, under new measures coming into force.

Fourteen players and staff have tested positive at Serie A club Genoa in an outbreak that Italy's top football league will be watching carefully. Genoa played Napoli on Sunday and their next match on Saturday is at risk – but there are fears for top club Napoli’s Sunday match against Juventus, too.

Image source, EPA

Moscow's mayor has extended the autumn school holiday in October from one week to two because of rising infections. Sergei Sobyanin has asked parents to tell children to avoid shopping centres and not use public transport.

For 20 years, poverty has dramatically dropped throughout most of east Asia. But now, the US-based World Bank has warned that the coronavirus pandemic could keep or push up to 38 million people in the region into poverty.

Without rapid government action the “triple shock” of the virus, lockdown measures and the global recession could cause harm for years to come.

“Sickness, food insecurity, job losses and school closures could lead to the erosion of human capital and earning losses that last a lifetime,” the bank said in a release, external.

Of those 38 million, the bank said an additional five million who were not previously in poverty would fall into the bracket. They define poverty as anyone living on less than $5.50 (£4.28) a day.

In May, the World Bank warned that global growth could shrink by 5% and that up to 60 million people worldwide could be pushed into extremepoverty – meaning living on less than $1.90 (£1.48) a day.

Image source, Getty Images

The leader of Newcastle City Council says new coronavirus measures for his area, put in place by central government, are a "bolt from the blue".

From midnight tonight, two million people in north-east England will see tougher measures as a result of a surge in cases.

Labour's Nick Forbes says he had been in the midst of discussions with central government about potentially introducing some localised restrictions - but that Health Secretary Matt Hancock's announcement "threw everything up in the air".

Forbes says the "knee-jerk" announcement was made without the right local messages being in place to back it up.

"As a result, confusion and chaos spreads, which actually undermines the very messages that we're trying to get across to the public," he tells BBC Breakfast.

He issues a "plea" to the government not to announce future measures until it has spoken to local authorities.

"My worry is we've had so many messages, it's so confusing, people are now scratching their heads and saying 'well, what does it mean for me?'"

He says messages to the public should be simplified to two main points: that people should maintain social distancing wherever they go, and should try not to come into contact with anyone unnecessarily.

Roughly 10 months after the virus was first spotted in the Chinese city of Wuhan, the world has reported more than one million deaths. Health authorities have learnt a great deal about the virus since then, but officials fear that the rise in deaths is set to continue.

"We see no sign of slowing of the death rate," Nancy Baxter, an epidemiologist and head of Melbourne’s School of Population and Global Health, told the BBC.

"There's been over a thousand deaths per day worldwide since 18 March and what seems to happen is as Covid-19 becomes controlled in one jurisdiction it gets out of control elsewhere.

"So I think that unfortunately we are looking at a similar number of deaths before a vaccine is actually found and distributed."

Image source, Getty Images

The government must choose this autumn between more austerity and permanently higher spending, experts warn.

Although the Autumn Budget has been cancelled, the Treasury is still set to publish a Spending Review containing government expenditure plans.

Because of Covid-19, public spending is likely to rise to the highest share of national income in more than a decade, says the Institute for Fiscal Studies.

If not, another bout of austerity will hit many public services, it warns.

Read more here.

Thecoronavirus contact tracing appfor England and Wales has now been downloaded more than 12.4 million times, the government has said.

The app, launched on Thursday, uses Bluetooth technology to keep tabs on encounters with other people and informs them if one subsequently tests positive for Covid.

Health Secretary Matt Hancock told MPs it was "the fastest download of an app in British history".

Our technology correspondents have been answeringyour questions about how the app works.

Image source, getty

Image source, Getty Images

The NHS is facing a "triple whammy" of rising Covid-19 cases, a major backlog in treatment and reduced capacity due to infection-control measures, according to health bosses.

The NHS Confederation report on the health service in England said more investment was desperately needed.

NHS bosses also called on ministers to be "honest and realistic" about waiting lists for treatment.

The government has promised an extra £3bn this winter, which is intended to help hospitals cope with the extra-infection control measures required and pay for patients to be treated privately for routine treatments, such as knee and hip replacements.

And services in other areas, such as cancer care, are running at about three-quarters capacity.

Read the full story here.

Scientific research is progressing rapidly. As things stand there are about 240 potential vaccines in early development worldwide, with 40 in clinical trials and nine in the final stage of testing on thousands of people.

One being developed by the University of Oxford - already in an advanced stage of testing - has shown it can trigger an immune response and a deal has been signed with AstraZeneca to supply 100 million doses in the UK alone.

A potential vaccine, external has been shown to produce antibodies in China, but there are concerns about the speed at which it's being made. Russian scientists also say early test of the Sputnik-V potential vaccine showed signs of an immune response, but again experts have questioned the speed and the small size of the earlier trials.

The WHO does not think there will be widespread vaccination until the middle of 2021, and has warned that the death toll could hit two million before on becomes widely available.

A test that can diagnose Covid-19 in minutes will dramatically expand the capacity to detect cases in low- and middle-income countries, the World Health Organization (WHO) has said.

The $5 (£3.80) test could transform tracking of Covid-19 in less wealthy countries, which have shortages of healthcare workers and laboratories.

A deal with manufacturers will provide 120 million tests over six months.

The WHO's head called it a major milestone.

Image source, Reuters

A law prohibiting households from mixing in any indoor setting is to be introduced in the most populous parts of north-east England from 00:01 BST on Wednesday.

The Department of Health said existing local lockdown measures for Durham, Gateshead, Newcastle, North Tyneside, South Tyneside, Northumberland and Sunderland are being tightened at the request of the local councils in response to high and increasing infection rates.

Current guidance only advises residents not to mix with people outside their household or bubble in indoor settings, such as pubs and restaurants.

The DoH says the guidance will now be enforceable and subject to fines, although the law will not apply to Covid-secure schools and workplaces.

A funding package is being agreed with councils to support the measures and the rising infection rate.

Image source, Getty Images

Amid sombre assessments as the one-million-death milestone is passed, here's a look at the coronavirus situation in the UK:

• The NHS is facing a "triple whammy" of rising Covid-19 cases, a major backlog in treatment and reduced capacity due to infection-control measures, according to health bosses. The report, on NHS England, adds that more investment is desperately needed
• On Monday, the UK government recorded 4,044 new cases and 13 new deaths - all in England, with no deaths reported in Northern Ireland, Scotland or Wales
• About two million people in north-east England are facing tighter lockdown restrictions to curb the rise in Covid-19 cases. Health Secretary Matt Hancock says mixing between households in any indoor setting, such as pubs and restaurants, will be against the law from tomorrow, in seven listed areas of the North East
• And the government must choose between more austerity and permanently higher spending, experts are warning. The Institute for Fiscal Studies says some financial measures brought in to manage the pandemic could "swallow up huge amounts of money" and leave some public services facing another round of budget cuts.

Many countries are seeing a surge in cases right now.

For some this is a second surge, after an initial peak in spring. For others, cases have been rising steadily through the year.

In Europe, including the UK, cases initially peaked in Spring.

They have started to increase again, and many countries are now reintroducing restrictions.

In the US, which still has the highest number of infections and deaths, the virus has surged in different states at different times throughout the year.

At the start the outbreak was centred on northern states such as Washington and New York, and in the summer cases were concentrated in southern states. Now, cases are surging in the mid-west.

Welcome to our rolling coverage of the coronavirus pandemic, on the day we learn the virus has now killed more than one million people around the globe. Covid-19 researchers at the University of Johns Hopkins, external now record a death toll of 1,001,646 with a total of 33,353,615 confirmed cases.

Stay with our live page to follow all the reaction, as well as other Covid-19 news and updates. You can find out more about how the virus spread across the world here.

The situation today:

• The US remains the country with both the most reported infections and highest number of deaths. Brazil has the second highest number of recorded deaths, followed by India, Mexico and the UK
• A $5 (£3.80) test that can detect Covid-19 in minutes will transform efforts to track the illness in less wealth countries, World Health Organization (WHO) Director General Tedros Adhanom Ghebreyesus said. He hailed it as a major milestone
• Scientists meanwhile continue to work towards a vaccine, with nine potential vaccines already in the final stage of testing. You can read more about the hunt here