Exponential Growth and Epidemics

15:59

From 3blue1brown’s Grant Sanderson, this is an excellent quick explanation of exponential growth and how we should think about it in relation to epidemics like COVID-19. Depending on how rusty your high school math is, you might need to rewind a couple of times to fully grasp the explanation, but you should persevere and watch the whole thing.

The most important bit is at the end, right around the 7:45 mark, when he talks about how limiting person-to-person exposure and decreasing the probability of exposures becoming infections can have a huge effect on the total number of people infected because the growth is exponential. If large numbers of people start doing things like limiting travel, cancelling large gatherings, social distancing, and washing their hands frequently, the total number of infections could fall by several orders of magnitude, making the exponential work for us, not against us. Small efforts have huge results. If, as in the video, you’re talking about 100 million infected in two months (at the current transmission rate) vs. 400,000 (at the lowered rate) and if the death rate of COVID-19 is between 1-3%, you’re looking at 1-3 million dead vs. 4-12,000 dead.

So let’s start flattening that exponential. South Korea and China both seem to have done it, so there’s no reason the rest of the world can’t through aggressive action. (thx, david)

Tags: COVID-19   Grant Sanderson   mathematics   medicine   video

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