32.1.111 GompertzGrowth

Contents

Function

\[ y = y_m \left( \frac{y_0}{y_m} \right)^{e^{-kx}}\]

Brief Description

Growth rate decays exponentially as the population approaches it maximum.

Sample Curve

GompertzGrowth.png

Parameters

Number: 3

Names: ym, y0, k

Meanings: ym=Maximum asymptote, y0=Starting value, k=Rate constant

Lower Bounds: y0>0, k>0

Upper Bounds: none

Derived Parameters

Tau=1.0/k

Script Access

nlf_GompertzGrowth(x,ym,y0,k)

Function File

GompertzGrowth.fdf

Category

Growth