Once the number of ebola patients exceeds the number of beds (which has already happened), won't the growth rate look pretty much linear regardless of the actual numbers?
I'm sure at this point we also have people checking in, since this is pretty serious.
The main limitations on this would be the carrying capacity of the environment. Or treatment. Carrying capacity would be as if everyone is sick and there are no new hosts or the population has dropped to such levels chance of infection due to contact decreases. And obviously growth rate would also change if the treatment status quo changes