Dawson Community College Python Programming Code Project and Memo

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You have been hired by the United Nations to study world population growth. They asked you to solve
the logistic model:
dp
dt
=
= k
(
1
р
Pmax
·p
=
where p is the population, k is the maximum growth rate under unlimited resource conditions, and
Pmax is the maximum carrying capacity. The initial condition should be the population in 1950, po
2.555 x 109 people, and the parameters are k 0.026 year-1 and Pmax = 1.2 x 1010 people. The
UN is asking you to predict the population change from 1950 to 2050 and include a plot showing the
population over time. They are offering you 1 bonus point if you can compare the logistic model
projection to the given population data from 1950-2000, included below, on your plot.
Year
1950 1960 1970 1980 1990
Pop. (billions, x109) 2.555 3.040 3.708 4.454 5.276
2000
6.079

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