Table 2 State variables, expressions and (fixed) parameters of the SIMPOP model

E(t, T _W )

Mean no. of simuliid eggs at time t and water temperature T _W

Eqn. (1)

–

[23]

\( {\displaystyle \begin{array}{l}{L}_1\left(t,{T}_W\right);{L}_i\left(t,{T}_W\right)\\ {}2\le i\le 7\end{array}} \)

Mean no. of 1st instar larvae and of 2nd to of 7th instar larvae at t and T _W

Eqn. (2)

–

This study

P(t, T _W )

Mean no. of pupae at t and T _W

Eqn. (3)

–

[23]

N(t, T _W , T)

Mean no. of nullipars at time t, water temperature T _W and air temperature T

Eqn. (4)

–

[23]

Ψ(t, T _W , T)

Mean no. of parous flies at t, T _W and T

Eqn. (5)

–

[23]

V(t, T _W , T)

Mean no. of vectors at t, T _W and T

N(t, T _W , T) + Ψ(t, T _W , T)

–

[23]

Δ _E (T _W )

Duration of egg stage at water temperature T _W (days)

11.493  exp(−0.0701T _W )

–

[23]

Δ _L (T _W )

Duration of larval stage at T _W (days)

87.527  exp(−0.0785T _W )

–

[23]

Δ _P (T _W )

Duration of pupal stage at T _W (days)

20.098  exp(−0.0699T _W )

–

[23]

\( {\mu}_E^0 \)

Background per capita rate of eggs (day^–1)

–

0.05

[23]

\( {\mu}_L^1 \)

Mortality rate of larvae due to larviciding (day-¹)

\( \left[-\ln \left(1-{\varepsilon}_L\right)-{\mu}_L^0\right] \)

–

This study

β _N

Per nulliparous fly rate of oviposition (day^–1)

\( \frac{\varepsilon_N\left\{\exp \left[-{\mu}_V(T)g(T)\right]\right\}}{g(T)} \)

–

[23]

β _P

Per parous fly rate of oviposition (day^-1)

\( \frac{\varepsilon_P{\mu}_V(T)}{\left\{\exp \left[{\mu}_V(T)g(T)\right]-1\right\}} \)

–

[23]

ε _N

Per capita mean no. of eggs per nulliparous fly

S. damnosum (s.s.)/S.sirbanum

S. squamosum

432

492

[23, 62, 63]

ε _P

Per capita mean no. of eggs per parous fly

S. damnosum (s.s.)/S. sirbanum

S. squamosum

142

215

[23, 62, 63]

DBR

Daily biting rate (day^-1)

Eqn. (6)

–

–