#' susceptible_population
#'
#' a function that returns a matrix of numeric values for age and time, representing the number of individuals within the population who are alive and not infected
#'
#' @param cumulative_survival_matrix matrix of cumulative survival probabilities in the susceptible from birth till the specified age and time.
#' @param birth_counts vector of numberic values representing the total birth counts for each birth count.
#' @param pmtct_birthcount number of newborns infected
#' @return a matrix of the susceptible population at a specified age and time.
#' number in each cell of the matrix represent the number of individuals in the population who are alive and un-infected
#'
#'
#'
#'
#'
#'
#'
#' @export
#'
#'
susceptible_population <- function(cumulative_survival_matrix,
birth_counts,
pmtct_birthcount)
{
# multiplies the birth counts with the cumulative probability of surviving infection/death in the
# susceptible population at a specified time to yield the susceptibles at a given age and time
susceptible <- cumulative_survival_matrix * (birth_counts - pmtct_birthcount)
return(susceptible)
}
#
# suspt_pop <- susceptible_population(cumulative_survival_matrix = prob,
# birth_counts = births[-c(1,2)],
# pmtct_birthcount = rep(5,5))
# susceptible_population(cumulative_survival_matrix = prob,
# birth_counts = births[-c(1,2)],
# pmtct_birthcount = pmtct_birth_count[-c(1,2)])
# susceptible_population_fun <- function(cumulative_survival_matrix,
# birth_counts)
# {
#
# delta_d <- row(cumulative_survival_matrix) - col(cumulative_survival_matrix)
# susceptible_pop_counts = matrix(NA, nrow = nrow(cumulative_survival_matrix), ncol = ncol(cumulative_survival_matrix))
#
# susceptible_pop_counts[(1:length(birth_counts)), ] = birth_counts
#
# seQ = min(delta_d):max(delta_d)
#
# for (aa in seQ){
#
# if (aa >= 0){
# # do we need the if statement seQ can be 0:max(delta_d)
# susceptible_pop_counts[delta_d == aa] = cumulative_survival_matrix[delta_d == aa] * birth_counts[aa + 1] #(R strats counting at 1 i.e indexing birth_counts[0] yield an error)
#
# }else{
#
# susceptible_pop_counts[delta_d == aa] = NA
#
# }
# }
# return(susceptible_pop_counts)
#
# }
# susceptible_pop_counts <- susceptible_population_fun(cumulative_survival_matrix = survival_prob,
# birth_counts = birth_count)
#
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