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
Suppose that a given population can be divided into two parts: those who have a given disease and can infect others, and those who do not have it but are susceptible. Let
where
Find the equilibrium points for the differential equation
Solve the initial value problem
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Check out a sample textbook solutionChapter 2 Solutions
Differential Equations: An Introduction to Modern Methods and Applications
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