Note that the above trendlines are simple exponential extrapolations. In reality the curve will bend once most have been infected even if nothing else changes. An SIR model that assumes 20% of cases are detected looks like the following (log scale and linear scale shown).
SIR models are pretty simplistic too though, and should be taken with a large grain of salt. The timing of the peak might be a reasonable estimate, but the height could be dramatically different.
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