As soon as isolation is lifted, whether that be in a month or 10 years, the spread will resume. Unless of course either a) herd immunity is developed or b) a vaccine is developed.
We've only ever eradicated one infectious disease in all of human history (smallpox) and we had a vaccine for that. See: https://www.historyofvaccines.org/index.php/content/articles...
As I mentioned above, we have only ever erradicated _one_ infectious disease in all of human history. The chances of COVID, with its highly infectious nature, being the second are quite slim.
Just like the first outbreak, all it takes is one person with the virus to start the whole process over again.
All international travel is going to be restricted for a very long time regardless of antibody and PCR tests.
None of that really seems doable for all but the smallest countries. So the answer is herd immunity, either through contracting the virus, or via a vaccine.
The virus likely entered the US in early February, and in 2 months shut down the country. Literally one case will lead to another outbreak, we've already seen it happen.