ψh
|
constant birth rate of humans |
0.0000421 |
- |
d−1
|
- |
ρh
|
waning of malaria immunity in humans |
0.00055 |
5.5×10−4–2.7×10−3 |
d−1
|
[54]
|
a |
mosquito biting rate on humans |
0.33 |
0.2–0.5 |
d−1
|
[67]
|
c |
likelihood of malaria infection in humans following an infectious bite |
0.022 |
0.011–0.033 |
|
[54]
|
μh
|
human death rate |
0.0000421 |
- |
d−1
|
- |
vh
|
human rate of progression from the exposed to the infected state for malaria |
0.1 |
0.067–0.20 |
d−1
|
[54]
|
γh
|
human recovery rate from malaria |
0.0035 |
0.0017–0.007 |
d−1
|
[54]
|
δh
|
malaria-induced mortality rate for humans |
0.00009 |
0−1.8×10−5 |
d−1
|
[54]
|
b |
likelihood of a bite on an infected human leading to malaria infection in mosquitoes |
0.097 |
0.08–0.114 |
|
[18]
|
|
likelihood of a bite on a recovered human leading to malaria infection in mosquitoes |
0.0097 |
0.008–0.0114 |
|
[54]
|
ψ1
|
likelihood of an infectious bite leading to establishment of a worm in humans |
0.000036 |
3.6×10−5–8.8×10−5 |
|
[16], [19], [28]
|
L3
|
mean number of 3rd instars carried by infective mosquitoes |
1.48 |
1–1.98 |
|
[34], [68], [69]
|
μw
|
death rate of adult worms in humans |
0.00034 |
5.48×10−4–2.74×10−4 |
d−1
|
[28]
|
α |
worm fecundity in humans |
0.0667 |
6.67×10−3–6.67×10−2- |
d−1
|
[28], [59]
|
μf
|
death rate of microfilariae in humans |
0.0033 |
0.002–0.004 |
d−1
|
[28]
|
Λ |
emergence of mosquitoes |
8000/16000 |
varies seasonally |
d−1
|
- |
ψ2(F) |
likelihood of W.b. infection in mosquitoes when feeding on a microfilaremic host |
varies |
- |
|
|
r |
rate of W.b. larval development within mosquitoes |
0.083 |
0.0714–0.1 |
d−1
|
[70]
|
ve
|
reciprocal of the extrinsic incubation period for malaria |
0.0909 |
0.0714–0.1 |
d−1
|
[54]
|
μm
|
death rate of mosquitoes |
0.1 |
0.05–0.15 |
d−1
|
[56]
|
μe
|
W.b.-induced additional mortality of mosquitoes |
0.059 |
0.009–0.109 |
d−1
|
S1 Supporting Information
|
μi
|
P.f.-induced additional mortality of mosquitoes |
0.03 |
0–0.06 |
d−1
|
estimate |
m |
probability of ingested microfilariae passing the midgut in mosquitoes |
0.636 |
0.4–0.87 |
|
S1 Supporting Information
|
i |
loss of W.b.-infection in mosquitoes due to immune response |
0.37 |
0.13–0.61 |
d−1
|
S1 Supporting Information
|
kρ
|
factor used to relate microfilariae burden to prevalence |
8.9 |
- |
|
[28]
|
kψ
|
constant in microfilariae uptake function |
0.06539 |
0.0554–0.0772 |
|
[32], [34]
|