Recently Taiwan made a mistake in their fight against the corona virus and 27 covid-19 soldiers were released into the public for 3 days. https://www.theguardian.com/world/2020/apr/22/taiwan-navy-races-to-trace-700-sailors-on-pacific-goodwill-tour-after-covid-19-cases-emerge The government tracked and traced 200000 contacts, but what hasn't occurred is a massive re-infection. I suggest that this is because everyone wears a mask in public. That means the infected persons aren't depositing their virus droplets everywhere.
Also factor into your thinking that Taiwan hasn't closed their economy or schools.