The ultimate product of MacDonald’s equations was a single number, which he called the basic reproduction rate. That rate represented, in his words, “the number of infections distributed in a community13 as the direct result of the presence in it of a single primary non-immune case.” More precisely, it was the average number of secondary infections produced, at the beginning of an outbreak, when one infected individual enters a population where all individuals are nonimmune and therefore susceptible. MacDonald had identified a crucial index—fateful, determinative. If the basic reproduction
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