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# The growth of populations of organisms has many engineering and scientific applications

ISBN: 9780073401102 336

## Solution for problem 22.4 Chapter 22

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

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Problem 22.4

The growth of populations of organisms has many engineering and scientific applications. One of the simplest models assumes that the rate of change of the population p is proportional to the existing population at any time t: dp dt = kg p (P22.4.1) where kg = the growth rate. The world population in millions from 1950 through 2000 was t 1950 1955 1960 1965 1970 1975 p 2560 2780 3040 3350 3710 4090 t 1980 1985 1990 1995 2000 p 4450 4850 5280 5690 6080 (a) Assuming that Eq. (P22.4.1) holds, use the data from 1950 through 1970 to estimate kg. (b) Use the fourth-order RK method along with the results of (a) to stimulate the world population from 1950 to 2050 with a step size of 5 years. Display your simulation results along with the data on a plot.

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ENGR 121 B Lab Notes for 10/24/2016 Spencer Kociba ● scalarctneeds to have scalar.^vector ● vector(logical vector) ○ Will find every value for whom’s element equals 1 in the logical vector ● Looping repeats the action for every element...

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