HW #4 problem 3: In this problem, you will investigate changes in the behavior of x, as predicted by the "logistic" model x+1 = r(1 – x„)Xn caused by changes in the parameter value r or in the...

Extracted text: HW #4 problem 3: In this problem, you will investigate changes in the behavior of x, as predicted by the "logistic" model x+1 = r(1 – x„)Xn caused by changes in the parameter value r or in the “initial" value xo. Starting with x, = 0.25, look at the behavior of x1, x2, .X50 for r = 2, then for r = 2.25, then forr = 2.5, and so on until r = 4. Where do you see important changes occur? Repeat this for x, = 0.3 and report where you see the greatest sensitivity to changes in the initial value. Using Excel or some similarly simple calculation system will make this problem more manageable. It may also be helpful to consider how the behaviors you observe compare to the “equilibrium states" xe for this model. You can determine these by solving x, = r(1 – xe)Xe