Skip to main content

Table 1 Parameter notation and values used in the compartmental models

From: Quantitative evaluation of the strategy to eliminate human African trypanosomiasis in the Democratic Republic of Congo

Notation Description Value Source
μ H Natural human mortality rate 5.4795 × 10− 5 days − 1 [45]
B H Human birth rate μ H N H -
σ H Human incubation rate 0.0833 days − 1 [17]
φ H Stage 1 to 2 progression rate 0.0019 days − 1 [39, 46]
γ H Treatment rate from stage 2 0.006 days − 1 Assumed (see text)
  u, Proportion of passive cases reported, Varies, -   
  Frequency of screening Annual -
  Active screen diagnostic algorithm sensitivity 91 % Averaged from [38]
  Active screen diagnostic algorithm sensitivity 91 % Averaged from [38]
  Active screen diagnostic algorithm specificity 99.9 % Averaged from [38]
  Treatment compliance 1 Assumed
η H Pulsed active screening   
ω H Recovery rate 0.006 days − 1 [27]
δ H Disease induced mortality 0 Assumed
N H Total human population size 291567 [34, 35]
k 1 Proportion of low-risk, random participation people Varies -
k 2 Proportion of low-risk, random participation people Varies -
k 3 Proportion of low-risk, random participation people Varies -
k 4 Proportion of low-risk, random participation people Varies -
m Relative tsetse density N V /N H -
μ V Tsetse mortality rate 0.03 days − 1 [17]
α Tsetse bite rate 0.333 days − 1 WHO 2013
σ V Tsetse incubation rate 0.034 days − 1 [47, 48]
p V Probability of tsetse infection per single infective bite Varies -
p H Probability of human infection per single infective bite Varies -
m eff Effective tsetse density = mp H -
ε Reduced non-teneral susceptibility factor Varies  
f H Proportion of blood-meals on humans 0.09 [49] (G. fuscipes)
r Relative bites taken on “high-risk” humans compared to “low-risk” Varies -
μ A Natural reservoir animal mortality rate 0.0014 days − 1 Assumed
B A Reservoir animal birth rate μ A N A -
σ A Reservoir animal incubation rate 0.0833 days − 1 [17]
f A Proportion of blood-meals on reservoir animals Varies -
N A Reservoir animal population size Varies -
p A Probability of reservoir animal infection per single infective bite Varies -