Another equation that has been used to model population

Chapter 2, Problem 16

(choose chapter or problem)

Another equation that has been used to model population growth is the Gompertz14equationdy/dt = ry ln(K/y),where r and K are positive constants.(a) Sketch the graph of f(y) versus y, find the critical points, and determine whether eachis asymptotically stable or unstable.(b) For 0 y K, determine where the graph of y versus t is concave up and where it isconcave down.(c) For each y in 0 < y K, show that dy/dt as given by the Gompertz equation is neverless than dy/dt as given by the logistic equation.

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