Logistic Model Used Simulate Population Dp Dt Kgm 1 P Pmax P P Population Kgm Maximum Grow Q12916305

Using numerical Methods
The logistic model is used to simulate population as in dp/dt = k_gm(1 – p/p_max)p Where p=population, k_gm=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 discussed in the course. Employ the following initial conditions and parameter values for your simulation: p_0(in 1950) = 2555 million people, k_gm = 0.026/yr, and p_max = 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 the data. Show transcribed image text