Question: A population subject to overcompensation can have its numbers decrease if the population levels are high, and is described by 5xt at 2 0, 1


A population subject to overcompensation can have its numbers decrease if the population levels are high, and is described by 5xt at 2 0, 1 + x- where it is the population number in year t (measured in hundreds of individuals). (A) (4 points) Determine the equilibria. (B) (4 points) Use the Stability Criterion to classify the equilibria as asymptotically stable or unstable. (C) (2 points) Use cobwebbing to illustrate the dynamics of the difference equation for To = 0.5, * = 1.5 and To = 4 (it is OK to plot all three on the same diagram). [Note: You can graph the function by hand or use graphing software to plot the function, and then use cobwebbing]
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