Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.4 - Logistic Functions and Models - Exercises - Page 670: 39

Answer

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Logistic regression can be applied to epidemics. In the case of an epidemic, the health workers can collect data on a daily basis and calculate the growth factor from day to day. If the trend is exponential, (the new total)=b times (old total), they will know that the disease is accelerating, and that the number of infected people may flood the hospitals and cause a crash in the health care system. Based on the exponential growth, political decisions can be made in order to slow down the growth (restrict travel, introduce quarantines, force social distancing, etc). If the trend is such that the growth is leveling out, it is a sign that either the decisions mentioned above are giving results, or that the spread has passed its maximum rate, so it can be expected that the situation will get gradually better. In either case, the information is a good input for decisions to be made.
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