Question

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5. (See 2.5, 16) Two models used in population modeling are the Logistic equation and Gompertz equation: dy dt dy = (r-ay)y and where r,a>0 are constant dt a) For both, sketch the graph of f(y) versus y, find the critical points, and determine asymptotic stability. (b) For 0 y a, determine where the graph of y versus t is concave up and where it is concave down. (c) Sketch solution curves near critical points, discussing differences in the role of r and a in both models.

Answer 1

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