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#' Function that solves the population dynamics equations including discontinuities
#'
#' @param Nseed number of seeded individuals
#' @param mort mortality rate
#' @param manag list of management actions (seeded/harvested individuals)
#' @param times vector containing informations on integration times
#' @return a time series with the number of individuals
#'
#' @import matrixStats plotrix rstudioapi
#'
Pop_fun <- function(Nseed, mort, manag, times) {
# Integration times
ti=times[1]
tf=times[2]
timestep=times[3]
# Initial condition and vectors initialization
N=as.vector(matrix(0,nrow=ti)) # Initialize vector N
N[ti]=Nseed # Impose initial condition
dN=as.vector(matrix(0,nrow=ti)) # Initialize vector dN
for (t in ti:tf){ # for cycle that solves population ODE with Euler method
dN[t]=-mort*N[t] # individuals increment
N[t+1]=N[t]+dN[t]*timestep # Individuals at time t+1
for (i in 1:length(manag[,1])) { # For cycle that adjusts N according with management strategies
if (t==manag[i,1]) { # if statement to check if it is the tiome to adjust N
N[t+1]=N[t]+manag[i,2]
} # close if
} # close for
} # close for
output=N
return(output)
} # close function
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