#' @title Carpenter lake model
#'
#' Runs simulation of the Carpenter Lake model
#'
#' @param x0 x0
#' @param tf tf
#' @param a a
#' @param b b
#' @param r r
#' @param FUN FUN
#' @param verbose verbose
#' @export carpenterMod
#' @return carpenterMod
carpenterMod <- function(x0,tf=100,a=1,b=1,r=1,FUN,verbose=FALSE){
x <- x0
for (t in 2:tf){
if (verbose){print(t)}
x[t] <- x[t-1] + (a - b*x[t-1] + r*get(FUN)(x[t-1]))
}
return(x)
}
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