But these examples use an exponent of 2. I keep hearing "exponential growth", but I don't know what exponent they are using. Y = x^1.1 is also exponential, but it would look pretty linear.
The virus infection rate is spreading such that the number of total cases grow proportional to Y = k^X, where X is the number of elapsed days, and k is the ratio of day to day increase.
For Italy, k has been around 1.21 (21% daily increase), and for the last 4 days it has been lowered to 1.13 or 13% day-to-day.
Another difference from that illustration is that with CV, most people recover. So in that analogy, some of those lilies would stop covering the pond.
So I think it makes a difference if we are describing growth of total cases or deaths, or the growth of new cases or deaths,. All these terms seem to get thrown around interchangeably.
-ERD50
The number above is the accumulated total number of cases. This is what every published chart shows. Then, they also show the number of deaths, and recoveries. The rest is obviously people whose fate is still in the air. And that number is huge, compared to the dead and the recovered.
John Hopkins site shows 272,167 cases worldwide, with 11,299 deaths, and 87,403 recoveries. That's 173,465 still sick, or 64%.
How many of those 173,465 are hospitalized? How many should be hospitalized, but cannot be accommodated?
The number of sick people keeps increasing. At some point, all new cases cannot be accommodated. Death rate will blow up.
PS. Here is how the growth in the US looks like in the last 4 days. Perhaps some of that is caused by more testing, but 40%+ is very scary.
2020-03-17 5,656(+29%)
2020-03-18 8,074(+43%)
2020-03-19 11,980(+48%)
2020-03-20 17,235(+44%)
At an average rate of 45% from day to day, we will be doubling in less than 2 days. The number will grow 10x in 6.2 days, and 100x in 12.4 days.
Let's hope that the above increase was due to more testing.