Table 1.
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 [55-57] |
ta | start of vaccination campaign (day) | 20, 50, or 80 | set to occur 10, 40, or 70 days after t0 |
tb | end of vaccination campaign (day) | Variable | depends on campaign start and duration |
td | depletion of vaccine stockpile (day) | Variable | depends on stockpile size; see |
t0 | time of initiating pulse (day) | 10 | arbitrary |
x0 | 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 R0* = 2.0; see sea-sonal/pandemic R0 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 [25-30] | |
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] |
*R0: 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])