Table 1. Parameters Used in the Present Study.
Parameter | Description | Value | Ref. | ||
---|---|---|---|---|---|
Transmission probability | |||||
a | human to mosquito | 0.23 | [54] | ||
b | mosquito to human | 0.5 | [55] | ||
Human/Parasite | |||||
s | number of clones1 | 28 | unpublished | ||
r | rate of clearance of infections | ||||
<2 yrs | 1/129 day-1 | [43] | |||
2–19 yrs | 1/200 day-1 | [43] | |||
>19 yrs | 1/150 day-1 | [43] | |||
ea | weighted exposure dependent on age | ||||
<2 yrs | 0.01 | [9] | |||
2–10 yrs | 0.33 | [9] | |||
10–18 yrs | 0.37 | [9] | |||
>18 yrs | 1 | [9] | |||
Mosquito | |||||
w | mosquito biting frequency | 0.21 day-1 | [56] | ||
μ | 1/mosquito life expectancy | 0.1 day-1 | [50, 56] | ||
n | 1/duration of sporogony in mosquito | 0.083 day-1 | [50] | ||
q | distance scale of human/mosquito mixing2 | 0.03 m-2 | arbitrary | ||
Migration | |||||
F | fraction of adult humans travelling | 0.1 | arbitrary | ||
t | average travel time | 14 days | arbitrary | ||
pout | probability of infection while traveling3 | 0.0–0.1 day-1 | arbitrary |
1see Fig 2 for clone distribution
2with q = 0.03 m the probability that a mosquito seeks a host at a distance of 10 m is 25% of that at 0 m (same household) and 0.3% at 100 m
3pout is a linear function based on the number of infections within the modelling area, where is the sum of all infections within the modelling area and k is a scaling factor to achieve 0.1/day probability at 100% infection rate (k = 1.07 x 10−6).