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. 2020 Apr 30;15(4):e0231256. doi: 10.1371/journal.pone.0231256

Table 1. Expected parameter values derived from the literature.

Parameter Description Expected value [Range: min, max] Distribution Reference(s)
rh Human birth rate 1/(25·365) = 0.00011 [1/(30·365) = 0.000091, 1/(20·365) = 0.00013] days-1 Uniform [23]; also, consistent with 0.04 yr-1 [26]
dh Natural human death rate 1/(25·365) = 0.00011 [1/(30·365) = 0.000091, 1/(20·365) = 0.00013] days-1 Uniform [23]; also, consistent with 0.04 yr-1 [26]
βp Pneumonic plague transmission rate in humans 0.08 [0.01, 1] days-1 Uniform 0.0734 (SE = 0.00005) [27]; 0.08 [28]; 0.084 [19];0.42–0.48 [16];
σp−1 Duration of pneumonic incubation rate in humans 4.3 [2.5–6.1] days Normal [27]; 2–4 days [18]
γp−1 Duration of pneumonic infection period in humans 2.5 [1.3–3.7] days Normal [27]
βr Transmission rate from fleas to rats 1.248 [0–3.67] fleas-1 days-1 Triangle 0.04–0.14 days-1 [16]; 0–3.67 days-1 *calculated from percent per flea transmission efficiency/days post infection at 23°C [29]
α Flea searching efficiency 3/Sr(t = 0) [0.39 < αKr< 20] rats-1 Uniform [26,30]
rr Reproductive rate in rats 0.014 [0.011, 0.016] rats days-1 Uniform 5/365 days [25,26]
Kr Carrying capacity of rats Nr(t = 0) [0.5Nr(t = 0),
1.5Nr(t = 0)] rats
Uniform Varied in conjunction with sensitivity analysis on initial condition (Nr)
dr Natural death rate in rats 0.2 year-1 /365 = 0.00055 [0.1/365 = 0.00027, 0.3/365 = 0.00082] days-1 Uniform [25,26]
pr Probability of rats inheriting resistance 0.65 [0.4–0.9] Uniform 0.5 [31]; 0.5–0.9 [32]; 0.4–0.8 [33]
γr−1 Duration of bubonic plague infectious period in rats 5.15 [4.71–5.59] days Normal Based on low-moderate infection doses in rats outside of plague endemic areas in Madagascar [32]
gr Probability of rats recovering from bubonic plague 0.06 [0.0–0.37] Triangle “24–37% of rats surviving a low- dose infection . . .compared with only 0–6% at high dose” [32]
rf Growth rate of fleas 0.0084 [0.0084, 20/365 = 0.055] fleas/day Uniform [16,25,26]
Kf Flea carrying capacity per rat 6 [3.29, 11.17] fleas Normal [16,25,26]
df−1 Flea lifespan 5 [1, 11.66] days Triangle [16,34]
βb Transmission rate for bubonic plague from rat fleas to humans 0.19 [0.01, 1] days-1 Uniform 0.18–0.20 [16]
σb−1 Duration of bubonic plague incubation period in humans 4 [2, 6] days Triangle [35]; 4.3 days [36]
γb−1 Duration of bubonic plague infectious period in humans 10 [3, 10] days Triangle 3.4 days [36]; 4–10 days [37]; 10 days [16];
gh Probability of humans recovering from bubonic plague 0.34 [0.30, 0.40] Triangle 0.40 [16]; “Among 511 plague cases occurring before 1942 (pre-antibiotics) with outcome information, 336 (66%) were fatal” [38]
p Probability of human bubonic plague developing into secondary pneumonic plague 0.10 [0, 0.15] Triangle 3% [36]; <5% [18]; ~10% [39]; 8–10% [37]; ~12% [40]; 5–15% [41]

Here we include the parameter, its description, expected value, range tested during the global sensitivity analysis (LHS-PRCC), and type of distribution used for sampling.