Table 2 Summary of all parameters included
Label, Units | Description | Models used in |
|---|---|---|
Λ h , Humans/Day | Immigration rate of humans | C |
ψ h , Day -1 | Per capita birth rate of humans | C |
* ψ m , Day -1 | Per capita birth rate of mosquitoes | C |
*f, Day -1 | Mosquito natality | M |
*a, Day -1 | Man biting rate | AM, Mac R |
*h, Day -1 | Daily rate of mosquito biting | M |
* σ m , Day -1 | Number of times a mosquito would bite a human if humans were freely available | C |
σ h , Day -1 | Maximum number of mosquito bites a human can have | C |
b, - | Proportion of bites which produce infection in humans | AM, Mac, R |
b h m , - | Probability of transmission of infection from an infectious mosquito to a susceptible human | C |
c, - | Proportion of bites by which a susceptible mosquito is infected | AM, Mac, R |
b m h , - | Probability of transmission of infection from an infectious human to a susceptible mosquito | C |
, - | Probability of transmission of infection from a recovered (asymptomatic carrier) human to a susceptible mosquito | C |
*m, - | Ratio of number of female mosquitos to that of humans | AM, Mac, R |
ν h , Day -1 | Per capita rate of human progression from exposed to infectious | C |
*# ν m , Day -1 | Per capita rate of mosquito progression from exposed to infectious | C |
*# τ h , Day | Latent period of human | AM |
τ m , Day | Latent period of mosquito | AM, Mac |
DM, Day | Length of the interval between mosquito infection and the onset of infectivity | M |
DH, Day | Length of the interval between human infection and the onset of infectivity | M |
WN, Day | Duration of a host’s infectivity to vectors | M |
r, Day -1 | Average recovery rate of humans | AM, Mac, R |
γ h , Day -1 | Per capita recovery rate of humans | C |
ρ h , Day -1 | Per capita rate of loss of immunity for humans | C |
IM, Day -1 | A human’s susceptibility to re-infection through daily decay of immunity | M |
δ h , Day -1 | Per capita disease induced death rate for humans | C |
d, Day -1 | Mosquito mortality | M |
μ1, Year -1 | Per capita rate of human mortality AM | |
* μ2, Day -1 | Per capita rate of mosquito mortality | AM, Mac, R |
μ1h, Day -1 | Density independent part of death (and emigration) rate of humans | C |
μ2h, Humans -1 x Day -1 | Density dependent part of death (and emigration) rate of humans | C |
μ1m, Year -1 | Density independent part of death rate of mosquitoes | C |
* μ2m, Mosquito -1 x Day -1 | Density dependent part of death rate of mosquitoes | C |
k,p,q, Day -1 | Human flow rates from Exposed to Infected, Infected to Recovered, and Recovered to Susceptible, respectively | M |
*#g, Day -1 | Mosquito flow rate from Exposed to Infected | M |