Table 2. All parameters and their corresponding values in the model.
Some parameter values were chosen from the incidence and mortality in early Zika outbreaks in South America (see Reference).
Parameters | Description | Value/units | Reference |
---|---|---|---|
βH | Transmission rate in humans | 1.5×10−4; unit: 1/time | |
βM | Transmission rate in mosquitoes | 3.0×10−4; unit: 1/time | |
μH | Natural mortality in humans | (8.6/1000)/365; unit: 1/time | Central, 2017 |
μM | Natural mortality in mosquitoes | 1/13; unit: 1/time | Stone et al., 2017 |
bH | Birth rate in humans | (9/1000)/365; unit: 1/time | Ellington et al., 2015 |
r | Recovery rate in humans | 0.037; unit: 1/time | Gao et al., 2016 |
ωH | Disease-induced mortality in humans | 0; unit: 1/time | |
δ | Composite rate: the rate at which infection producing severe outcomes of the type that leads to increased public fear | 190/3, 474, 182; unit: 1/time | Ellington et al., 2016 |
v | Maturation rate | 1/7; unit: 1/time | Stone et al., 2017 |
η | Egg laying rate for mosquitoes | 10 | Stone et al., 2017 |
p | Fraction of people traveling among patches | 0.01 | |
q | a value to avoid mathematical insignificance | 0.00001 | |
αM | Control strength per severe case on adult mosquitoes | 100 times of γM; unit as 1/ (no. *time*time) | |
αL | Control strength per severe case on larval mosquitoes | 100 times of γL; unit as 1/ (no. *time*time) | |
γM | Control strength per infected case on adult mosquitoes | ; unit as 1/ (no. *time*time) | |
γL | Control strength per infected case on larval mosquitoes | ; unit as 1/ (no. *time*time) | |
ϵM | Demotivation strength for adult mosquito control given per unit control | 100 or change as a variable with ϵM+ϵL = 200; unit: 1/time | |
ϵL | Demotivation strength for larval mosquito control given per unit control | 100 or change as a variable with ϵM+ϵL = 200; unit: 1/time | |
Kj | Breeding capacity for mosquito larvae in patch j | 2000 ± d where d = unif{1,10}; or change as other levels at 500, 800; unit: no. | |
mij | Human movement rate from patch i to j | 1/n (n is the number of all connected patches to focal patch i); unit: 1/time | |
Infected human across scales | Change with ; unit: no. | ||
Average human infection per patch in the absence of control | Change with ; unit: no. |