Table 1 Parameter notation and values used in the compartmental models
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 | |
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 | |
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 | |
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 | - |