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Suppose that there are 8000 students in a college and 400 students had contracted the flu at the beginning of the week. i) If 1200 had contracted the flu at the end of the week, how many will have contracted the flu at the end of 2, 3, and 4 weeks? ii) How long does it take for 80% of the student population to become infected?

Suppose that there are 8000 students in a college and 400 students had contracted the flu at the beginning of the week. i) If 1200 had contracted the flu at the end of the week, how many will have contracted the flu at the end of 2, 3, and 4 weeks? ii) How long does it take for 80% of the student population to become infected?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. A simple mathematical model in epidemiology for the spread of a disease assumes that the rate at which the disease spreads is jointly proportional to the number of infected people and the number of uninfected people. Suppose that there are a total of N people in the population, of whom No are infected initially.
Transcribed Image Text:2. A simple mathematical model in epidemiology for the spread of a disease assumes that the rate at which the disease spreads is jointly proportional to the number of infected people and the number of uninfected people. Suppose that there are a total of N people in the population, of whom No are infected initially.
b) Suppose that there are 8000 students in a college and 400 students had contracted the flu at the beginning of the week. i) If 1200 had contracted the flu at the end of the week, how many will have contracted the flu at the end of 2, 3, and 4 weeks? ii) How long does it take for 80% of the student population to become infected?
Transcribed Image Text:b) Suppose that there are 8000 students in a college and 400 students had contracted the flu at the beginning of the week. i) If 1200 had contracted the flu at the end of the week, how many will have contracted the flu at the end of 2, 3, and 4 weeks? ii) How long does it take for 80% of the student population to become infected?
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