No. As long as there are sufficient resources, growth remains exponential. When resources run out, then growth stops and the system enters a decline phase. Without any measures to prevent its spread, coronavirus cases will increase exponentially until every person who is susceptible to catching the disease has caught it.
Most biological functions occur exponentially. Population growth, bacterial growth, spread of infectious disease, the perception of light or sound, response to a drug, etc. We call the exponential function a "growth curve" or "drug response curve," depending on the exact entity that we are measuring.
“ Without any measures to prevent its spread, coronavirus cases will increase exponentially until every person who is susceptible to catching the disease has caught it.”
That’s nonsense. I refer you to H1N1, SARS, MERS, AIDS, Ebola and even the common cold or flu.