growthrates (version 0.8.4)

grow_gompertz: Growth Model According to Gompertz

Description

Gompertz growth model written as analytical solution of the differential equation system.

Usage

grow_gompertz(time, parms)

Value

vector of dependent variable (y)

Arguments

time

vector of time steps (independent variable).

parms

named parameter vector of the Gompertz growth model with:

• y0 initial value of abundance,

• mumax maximum growth rate (1/time),

• K maximum abundance (carrying capacity).

Details

The equation used here is: $$y = K * exp(log(y0 / K) * exp(-mumax * time))$$

References

Tsoularis, A. (2001) Analysis of Logistic Growth Models. Res. Lett. Inf. Math. Sci, (2001) 2, 23-46.

See Also

Other growth models: grow_baranyi(), grow_exponential(), grow_gompertz2(), grow_huang(), grow_logistic(), grow_richards(), growthmodel, ode_genlogistic(), ode_twostep()

Examples

time <- seq(0, 30, length=200)
y    <- grow_gompertz(time, c(y0=1, mumax=.2, K=10))[,"y"]
plot(time, y, type="l", ylim=c(0, 20))