How long would it take for Coronavirus to ........?

In the majority of cases, such viruses do go dormant during warmer weather months, and so even if no cure is found, it is likely that following April we would see a drastic decline in new cases.  Now the foolish thing to do would be to assume that that means the virus is gone, as actually it'll use that time to evolve.  We've seen this happen in the past, with the flu going away come spring then awakening at the end of fall with more potency than ever.

So really a virus does not go away.  Instead it simply changes enough that science reclassifies it into something new.  If we are VERY lucky then the virus may become less deadly, as it is in the best interest of a virus for its host to remain alive so that it too can live and breed.  But sadly we're rarely so lucky.

The incubation period of the virus the experts reckon is 2 weeks, therefore you might never really eradicate it fully because there will always be someone who is carrying it around, even if they don't know it at the time.

Never because antivaccers