Table 1 State variable and parameter definitions and default parameter values
State variables | Definition | ||
|---|---|---|---|
P | Number of Pupae | ||
A | Number of sexually immature adult males | ||
M | Number of sexually mature adult males | ||
R | Number of individuals that are recaptured | ||
F | Number of females in the wild population at time t | ||
D | Number of sexually mature RIDL adult males at time t | ||
Wild parameter | Definition | value | ref |
Q | Number of offspring produced by each adult per day that survive to adulthood in the absence of density-dependent mortality | 0.7 | [14] |
α | Density-dependent coefficient (set to determine the equilibrium number of females in the wild population in the absence of control) | 1.21e-05 | |
β | Density-dependent coefficient | 1 | [13] |
E | Female daily egg production | 16 | [13] |
ω | Wild mosquito mortality rate (conservative value chosen) (days-1) | 0.1 | |
T | Mosquito generation time (days) | 18.5 | [13] |
RIDL parameter | Definition | value | ref |
w | Eclosion parameter (relates to the rate at which pupae eclose) (days-1) | 1,2,4,8 | estimated |
k | Eclosion coefficient | 1.01 × release size | estimated |
δ | Mortality rate (days-1) | 0.5 | estimated |
γ | Recapture rate (days-1) | 0 | estimated |
c | RIDL male mating competitiveness (conservative value chosen) | 0.01 | |
σ | Sexual maturation rate (days-1) | 1 | [23] |