Concept explainers
Epidemics. The use of mathematical methods to study the spread of contagious diseases goes back at least to some work by Daniel Bernoulli in
Daniel Bernoulli’s work in
Consider the cohort of individuals born in a given year
The first term on the right side of Eq.
where
Let
Find
Bernoulli estimated that
Note: On the basis of the model just described and the best mortality data available at the time, Bernoulli calculated that if deaths due to smallpox could be eliminated
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Differential Equations: An Introduction to Modern Methods and Applications
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