The logistic model is used to simulate population as in dp dt 5 kgm(1 2 pypmax)p where p 5 population, kgm 5 the maximum growth rate under unlimited conditions, and pmax 5 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: p0 (in 1950) 5 2555 million people, kgm 5 0.026/yr, and pmax 5 12,000 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.