Abstract
We return to the family of functions, hr(x) = rx(1−x) where r > 0. As we saw in Chapter 1, this family is a reasonable model of population growth. We note that the graph of hr is a parabola facing down with x intercepts at 0 and 1, and with a vertex at the point (\(\left( {\frac{1}{2},\frac{r}{4}} \right).\)).
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© 1994 Springer-Verlag New York, Inc.
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Holmgren, R.A. (1994). The Logistic Function, Part I. In: A First Course in Discrete Dynamical Systems. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0222-3_8
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DOI: https://doi.org/10.1007/978-1-4684-0222-3_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94208-7
Online ISBN: 978-1-4684-0222-3
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