This may be only of curiosity value, but I've been collecting statistics from 
the twice-daily bulletins on Covid-19 published by the Commonwealth Deptartment 
of Health at 
https://www.health.gov.au/news/health-alerts/novel-coronavirus-2019-ncov-health-alert/coronavirus-covid-19-current-situation-and-case-numbers

The initial phase from 29th Feb. to 27th March was an almost perfect 
exponential:
   n = 19.25 exp(0.19t)
where 'n' is the cumulative number of notified cases and 't' is the number of 
days since 29th February, and the Pearson correlation is 1.00.  This is what 
we'd expect in the early stages of a pandemic when there's no significant 
population immunity.

However the period since 27th March is best described by a polynomial, also 
with a correlation of 1.00:
   n = -14.27(t²) + 1,196(t) - 19,010

If it continues to be accurate the rate of new infections will drop to zero in 
a few days, when there will have been a total of 6,050.  The trend line 
obviously isn't useful after that since the cumulative total would begin to 
decrease.

However it raises an interesting policy decision.  The current constraints 
can't go on forever, but to what extent should the rules be relaxed?  I think 
the national border should definitely remain closed, but should there be no 
relaxation pending possible release of a vaccine?  Or should the rules be 
managed so everyone gets a dose of covid‑19, but slowly?  Would that be too 
risky?

It's reported the medical panel and Government is considering the latter.

David l.
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