alogistic: Logistic growth with the Allee effect
In primer: Functions and Data for the Book, a Primer of Ecology with R

Description Usage Arguments Details Author(s) References See Also Examples

A function for continuous logistic growth with the Allee effect, for use with ode in the deSolve package.

1	alogistic(t, y, p)

`t`	Time points for which N wll be returned.
`y`	N, population size
`p`	a vector of logistic growth (r, alpha) and Allee effect parameters (a, tau); a is the threshold population size.

The user does not put these directly into this function, but rather uses codeode in the deSolve package. The function is based on the logistic growth equation

\frac{dN}{dt} = rN≤ft(1-α N\right)≤ft(1 - \frac{a+τ}{N+τ}\right)

with a being the threshold population size.

Hank Stevens

Stevens. M.H.H. (2009) A Primer of Ecology with R. Use R! Series. Springer.

clogistic,dlogistic, thetalogistic, levins

library(deSolve)
p <- c(r=1,alpha=.01, a=10, tau=.1)
time <- 0:10
initialN <- 11
out <- ode(y=initialN, times=time,
             func=alogistic, parms=p)
plot(time, out[,-1], type='l')