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
Some diseases (such as typhoid fever) are spread largely by carriers, individuals who can transmit the disease but who exhibit no overt symptoms. Let
Suppose also that the disease spreads at a rate proportional to the product of
Determine y at any time t by solving Eq.
Use the result of part (a) to find
Find the proportion of the population that escapes the epidemic by finding the limiting value of
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Differential Equations: An Introduction to Modern Methods and Applications
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