Question

Solve using the midpoint method (RK2), choose a step size The logistic model is used to simulate population as in: Pmax where p -population, kgm -the maximum growth rate under unlimited conditions, and pmax - 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: po (in 1950)-2555 million people, kem- 0.026/yr, and Pmax- 12,000 million people. Have the function generate output corresponding to the dates for the following measured population data. Develop a plot of vour simulation along with these data. 1960 3040 1980 1970 3708 1990 1950 2000 2555 4454 5276 6079

MUST USE MIDPOINT METHOD AND ANONYMOUS FUNCTION and MATLAB, no outer function please. Will rate answer 5 stars if done right :)

Answer 1

wen TC Evabt Lef hand Siea. Pmax rnce dl PCamScanne

?max - where Po Po 1450-9555 Po p ^ 0.026 - (-041) e p = 05667 O.so (7 0-02 6 05067 12000 0.013

PLOT THE POPULATION GROWH:

Editor - C:MATLAB7worklgj.m File Edit Text Cell Tools Debug Desktop Window Help 0 Stack: Base -1955 1960 1970 1980 1990 20001 : 2 - p = [2555 3040 3708 4454 5276 6079]; 3bar (t,p): 4title'Population Grouth'; 5-xlabel('Year' 6 -ylabel' Population':

Fiqure 1 File Edit View Insert Tools Desktop Window Help Population Growth 7000 6000 5000 4000 3000 2000 1000 1955 1960 1970 1980 1990 2000 Year