Q1 or Q2 2021 is the best bet, and by voting on the poll, I know that SARS-CoV-2 would not be eradicated but rather vaccines would be introduced to prevent it from spreading at an unprecedented rate such as what we're experiencing right now. I would love to give some details as to why I voted for Q1 2021.
Researchers all around the globe are currently working on a collaborative effort to get the perfect mix for a vaccine for the virus. China managed to get the whole genomic sequence of the virus on mid-January, followed by
France on 29, January. This is quite a feat given that such genomic researches takes months before a virus is fully sequenced, take MERS and SARS for example. Those two coronaviruses strain were on the loose for 2 years before they were controlled and vaccines were introduced. With the shared efforts of top researchers around the world, we managed to get it done by a month and qPCR testing kits were deployed almost immediately by pharma firms and research hubs.
With a virus that boasts an R0 > 2.3 (where R0 = reproductive ratio of the virus), the spread would be incomprehensible if necessary precautions weren't taken seriously. Just take Spain and Italy for example. That's why community quarantines were imposed in hopes of preventing the spread of the virus further, and ensuring that those infected will be treated with the utmost care in order for them to recover easily. Wuhan, the origin of the disease, managed to get out of the mess in ~3 months since the first known case was confirmed in December. For 2 days now,
there are no new cases of the disease within the population and China slowly easing the quarantine on the province.
However, South Korea is a different case: they imposed no lockdowns whatsoever but strictly advised their citizens to stay at home and be calm. They also managed to produce qPCR testing kits in an extremely fast rate and was capable of testing 20,000 citizens in a day, so if the person shows early signs of symptoms, they are easily tested, advised to stay at home, and monitored via a mobile app. They managed to
flatten the curve in a short span of time without resorting to quarantines whatsoever.
So what am I trying to point out here? Every country has their own measures in preventing the spread of the disease. Wuhan managed to be COVID-free in 3 months, while South Korea managed to reduce those new cases in just a month and half. It depends entirely on how would a nation's government reacts to the pandemic. Vaccines work, but they would require extensive testing and hearings before clinical trials on humans can proceed, and with Trump (lol) suggesting a highly unstable remedy against said disease, it would take a longer time before the world goes to rest again with the said virus. There would be isolated cases here and there until the vaccines arrive in Q1 or Q2 2020, so until then the best thing nations can do is to prevent its spread and wait for the affected ones convalesce before they lift the quarantines.