Another equation that has been used to model population growth is the Gompertz14
Chapter 2, Problem 16(choose chapter or problem)
Another equation that has been used to model population growth is the Gompertz14 equation dy/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 each is asymptotically stable or unstable. (b) For 0 y K, determine where the graph of y versus t is concave up and where it is concave down. (c) For each y in 0 < y K, show that dy/dt as given by the Gompertz equation is never less than dy/dt as given by the logistic equation.
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