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Table 1 Parameters used in simulations

From: Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administration capacity

Parameter Description Value/Range Source
p probability of being confirmed 0.2 or 0.65 low probability [84, 86], high probability [55]
α relative infectiousness of unconfirmed class 0.5 based on reduced viral shedding [5557]
t a start of vaccination campaign (day) 20, 50, or 80 set to occur 10, 40, or 70 days after t 0
t b end of vaccination campaign (day) Variable depends on campaign start and duration
t d depletion of vaccine stockpile (day) Variable depends on stockpile size; see
t 0 time of initiating pulse (day) 10 arbitrary
x 0 Amplitude of initiating pulse (individuals) 1 previous epidemiological model [62]
a width of initiating pulse (days) 1 previous epidemiological model [62]
b mean probability of infection per contact 0.476 or 0.346 adjusted as function of p so R 0* = 2.0; see sea-sonal/pandemic R 0 values [1, 87]
c rate of recovery (1/days) 1/7 based on symptoms, viral shedding, cytokine levels [55, 58, 59]
N total population size 108 e.g. Mexico, Phillipines [69, 70]
vaccine stockpile size 30 * 106 based on 30% coverage; see vaccine production/distribution data [21, 60, 61]
maximum number of vaccines per day 105 - 107 based on vaccination clinic modeling and clinic data [2530]
k proportion of eligible vaccinated per day 0.001 - 0.1 (0.1-10%) see models using proportions in this range [17, 36, 38, 44]
δ infection-related death rate (1/days) 10-6 based on U.S. viral surveillance data [88]
  1. *R 0: Basic reproduction number, defined as the number of secondary infections occurring due to introduction of 1 infected individual into a susceptible population (for review see [89])