Ricker equation In the logistic difference equation the factor s1 2 xtd decreases

Chapter 1, Problem 32

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Ricker equation In the logistic difference equation the factor s1 2 xtd decreases linearly from 1 to 0 as xt increases from 0 to 1. If, instead, we introduce the decreasing expo nential factor e2xt , we get what is called the Ricker difference equation: xt11 cxte2xt This model has the advantage that the factor e2xt never reaches 0. (a) If x0 0.5 and c 2.5, calculate the first ten terms to four decimal places and graph them. (b) Compare with Exercise 28.

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