growthmodels (version 1.3.1)

generalisedLogistic: Generalised Logistic growth model

Description

Computes the Generalised Logistic growth model $$ y(t) = A + \frac{U - A}{1 + \beta exp(-k (t- t_0))}$$

Usage

generalisedLogistic(t, A, U, k, beta, t0)
generalisedLogistic.inverse(x, A, U, k, beta, t0 = 0)

Arguments

t

time

A

the lower asymptote

U

the upper asymptote

k

growth range

beta

growth range

t0

time shift (default 0)

x

size

Author

Daniel Rodriguez

References

http://en.wikipedia.org/wiki/Generalised_logistic_function

Examples

growth <- generalisedLogistic(0:10, 5, 10, 0.3, 0.5, 3)

# Calculate inverse function
time <- generalisedLogistic.inverse(growth, 5, 10, 0.3, 0.5, 3)