Q No. 2: Five people in a community with stable population of 5000 people got infected with a contagious disease (such as covid 19). A theory of epidemic spread postulates that the rate of change in the infected population (number of people) is proportional to the product of the number of people who have the disease with the number that are disease free (take the constant of proportionality as 6.0 x 104). Assuming the theory is correct, how long will it take 75% of the population to contract the disease? (Assume the community as a closed system with nobody goes out or comes in but they are free to meet each other).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Q No. 2: Five people in a community with stable population of 5000 people got infected with
a contagious disease (such as covid 19). A theory of epidemic spread postulates that the rate
of change in the infected population (number of people) is proportional to the product of the
number of people who have the disease with the number that are disease free (take the
constant of proportionality as 6.0 x 104). Assuming the theory is correct, how long will it take
75% of the population to contract the disease? (Assume the community as a closed system
with nobody goes out or comes in but they are free to meet each other).
Transcribed Image Text:Q No. 2: Five people in a community with stable population of 5000 people got infected with a contagious disease (such as covid 19). A theory of epidemic spread postulates that the rate of change in the infected population (number of people) is proportional to the product of the number of people who have the disease with the number that are disease free (take the constant of proportionality as 6.0 x 104). Assuming the theory is correct, how long will it take 75% of the population to contract the disease? (Assume the community as a closed system with nobody goes out or comes in but they are free to meet each other).
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