Question: The logistic model is used to simulate population as in dp / dt = k gm (1 p / p max ) p Where

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 2002 using case of the numerical methods described in this chapter. Employ the following initial conditions and parameter values for your simulation: p₀(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.

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

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