Nurseries could close and face masks be made compulsory in tougher new UK coronavirus lockdown

"We should have no nurseries open, no synagogues, no churches, no mosques. We should have compulsory masks, two-metre distancing.

"We have to take this really seriously - that's what Asian states did.

"The longer we allow it to go on transmitting, the quicker we are going to get a resistant virus to a vaccine, then we are in real doo-doo."

While Christina Pagel, professor of operational research at University College London, believes empty hotels should be used for mandatory isolation.

She told the newspaper: "Schools are 50 per cent full, nurseries are open, places of worship? You have support bubbles, so there is a lot more mixing than in March.

"We have to start thinking about mandatory isolation, like in China and Vietnam. We have lots of empty hotels. We could use that space."

Their calls echo those made by government advisers yesterday who believe the current rules are "too lax".

And some have even described the new Covid strain - which is more than 50 per cent more infectious - as a "pandemic within a pandemic".

London mayor Sadiq Khan has also led calls for face coverings to be worn outside the home as he declared a major incident in the capital.

And Sir Keir Starmer today said nurseries "probably should be closed".

The Labour leader told the BBC: "I think there is a case for looking at nursery schools, we're talking to the scientists about that.

"I think people are surprised that primary schools were closed but nurseries aren't."

While Professor Peter Horby, chairman of the New and Emerging Respiratory Virus Threats Advisory Group (Nervtag), said the current measures might have to be tightened further if it becomes evident they are not working against the virus.

He told the BBC's Andrew Marr Show: "Now we're in a situation where everything that was risky in the past is now more risky so we are going to have to be very, very strict about the measures.

"Whether the current restrictions are enough, I think it remains to be seen. It will be a week or two before it becomes clear. They may be sufficient but we have to be very vigilant and if there's any sign that they're not, then we're going to have to be even stricter I'm afraid."

But a senior Government source told The Telegraph No10 is hoping tougher enforcement of the rules would avoid the need to bring in more draconian measures.

The insider says the government would “strongly guide away from any changes” as they were “pretty set”.

Mr Hancock also urged people to stay home if they can as "every flexibility" of the rules could prove fatal.

And he refused to speculate on whether the lockdown rules could be strengthened amid claims from scientists they are "too lax" in stopping the spread.

Asked about the prospect of tighter restrictions, he told BBC One's Andrew Marr Show: "I don't want to speculate because the most important message is not whether the Government will further strengthen the rules.

"The most important thing is that people stay at home and follow the rules that we have got.

";And that, in terms of the scale of the impact on the cases, that is the most important thing we can do collectively as a society."

Cops have promised to take a tougher approach to those flouting restrictions amid reports that officers will fine Brits the first time they are caught without a face mask or leave home without a reasonable excuse.

Under the measures, rule breakers will be hit with a £200 fine for a first offence which will then double to £400 for a second.

The penalties could continue to double to as much as £6,400 if Brits continue to ignore life-saving restrictions.

Those holding, or involved in holding, an illegal gathering of more than 30 people risk a police-issued fine of £10,000.

Brits must wear a mask in all indoor public spaces such as shops and supermarkets or face a £200 fine - though exemptions apply to children under 11 and those with certain medical conditions.