#' sim_SIR_unif
#'
#' sim_SIR_unif simulates the spread of an infectious disease on a social network
#' using the Susceptible-Infected-Removed compartmental model with one uniform
#' interaction per dyad per day
#'
#' @param network_el an edgelist file generated by igraph
#' @param beta a value from 0 to 1 indicating per contract probability of
#' pathogen transmission
#' @param gamma a value from 0 to 1 indicating daily probability of
#' recovery/removal
#' @param days the maximum number of days for which your simulation will run
#'
#' @return vector with 5 elements, 1: number of days simulation went for, 2:
#' final number of susceptible individuals, 3: final number of infected
#' individuals, 4: final number of number of removed individuals, 5: maximum
#' number of infected inviduals at any timepoint
#' @export
#'
#' @examples
sim_SIR_unif <- function(network_el, beta, gamma, days) {
n = network_el[1,4]
e = network_el[1,5]
cdata <- network_el[,1:2]
infection_status <- c(rep(1,n))
index_infected <- sample(1:n, 1)
infection_status[index_infected] = 2
max_infected <- 1
day_counter <- 0
while(day_counter <= days) {
tmp_infection_status <- infection_status
for(selected_edge in 1:e) {
if (sum(infection_status[cdata[selected_edge,1:2]]) == 3) {
if (beta >= runif(1,0,1)) {
tmp_infection_status[cdata[selected_edge,1:2]] = 2
}
}
}
for (j in which(infection_status %in% 2)) {
if (gamma >= runif(1,0,1)) {
tmp_infection_status[j] = 3
}
}
infection_status <- tmp_infection_status
curr_infected <- sum(infection_status == 2)
if (curr_infected > max_infected) {
max_infected <- curr_infected
}
day_counter <- sum(day_counter,1)
if (sum(infection_status%%2) == n) break
}
return(c(day_counter-1,sum(infection_status == 1),sum(infection_status == 2),sum(infection_status == 3),max_infected))
}
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