Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 25, Problem 21P

The logistic model is used to simulate population as in

d p d t = k g m ( 1 p / p max ) p

where p = population, k g m = the maximum growth rate under unlimited conditions, and p max = the carrying capacity. Simulate the world's population from 1950 to 2000 using one of the numerical methods described in this chapter. Employ the following initial conditions and parameter values for your simulation: p 0 ( in 1950 ) = 2555  million people,  k g m = 0.026 / yr, and  p max = 12 , 00 million people. Have the function generate output corresponding to the dates for the following measured population data. Develop a plot of your simulation along with these data.

t 1950 1960 1970 1980 1990 2000
p 2555 3040 3708 4454 5276 6079
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