Our type of travel will be restricted until our present country and those we wish to visit either have a programme of mass vaccination and the pandemic dies out (but there's no vaccine as yet) or have so many 'recovered' in the population that there's herd immunity and the pandemic dies out naturally. But by then there will be millions of deaths around the world.
The SIR (susceptible-infected-recovered) modelling was developed in the 1920 by Kermack and McKendrick along with the predictions that in an influenza-like pandemic you needed a recovered percentage of 80% to prevent transmission to the remaining 20% susceptibles. The term 'herd immunity' was coined by Captain Major Greenwood (Captain was his rank, Major his first name) in the 1920s to describe this.
I'm currently reading 'The Rules of Contagion' by Adam Kucharski who's a Professor at the London School of Hygiene and Tropical Medicine, and one of the team who's doing the mathematical modelling of likely outcomes for the UK government.
None of what's happening is new or even unexpected. This is the UK government's strategy paper on dealing with a pandemic last updated 2011, https://assets.publishing.service.go.../dh_131040.pdf
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