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blumberg

Blumberg growth model


Description

Computes the Blumberg growth model and its inverse

y(t) = (α * (t - t_0)^m)/(w_0 + (t - t_0)^m)

Usage

blumberg(t, alpha, w0, m, t0 = 0)

  blumberg.inverse(x, alpha, w0, m, t0 = 0)

Arguments

t

time

x

size

alpha

upper asymptote

w0

a reference value at t = t0

m

slope of growth

t0

time shift (default 0)

References

A. Tsoularis and J. Wallace, "Analysis of logistic growth models.," Math Biosci, vol. 179, no. 1, pp. 21-55, Jul. 2002.

Examples

growth <- blumberg(0:10, 10, 2, 0.5)
# Calculate inverse function
time <- blumberg.inverse(growth, 12, 2, 0.5)

growthmodels

Nonlinear Growth Models

v1.2.0
GPL-3
Authors
Daniel Rodriguez Perez
Initial release
2013-11-23

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