data:image/png;base64,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data:image/png;base64,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.2.2.6: Students will get different numbers depending on the speed of their computers. We get 10.76, 4.78, 2.94, and 1.60 seconds. The effect of population density on the rate of infection turns out to be more important than the fact that more people means more infections needed to include everyone. It's tempting to say that time ≈ 450/size, but if you multiply it out, the speedup for larger populations is a bit greater than that formula would imply.
5.2.2.7: The best way to investigate such questions is to reprogram the simulation and see how varying various parameters affects the result. If only some encounters lead to infection, does everyone still eventually get sick? What if people recover after five cycles? What if some fraction of the population is naturally immune? And so on.infected?truesick5.2.2.1: The most obvious hypothesis is that a larger population takes longer for everyone to get sick, supposing the rate of infection doesn't change. But in fact the rate of infection /does/ change for a larger population in the same area, which is why low-density businesses such as hairdressers could reopen sooner than high-density ones such as churches.
5.2.2.2. If the space gets bigger without increasing the population, the infection rate will probably go down.start timerunningtrueelapsed time1000vanishfalse78true161238054855662.286100102