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. 2018 May 29;11:316. doi: 10.1186/s13071-018-2864-y

Table 2.

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

Notation Definition and units Expression Mean Reference
E(t, TW) Mean no. of simuliid eggs at time t and water temperature TW Eqn. (1) [23]
L1tTW;LitTW2i7 Mean no. of 1st instar larvae and of 2nd to of 7th instar larvae at t and TW Eqn. (2) This study
P(t, TW) Mean no. of pupae at t and TW Eqn. (3) [23]
N(t, TW, T) Mean no. of nullipars at time t, water temperature TW and air temperature T Eqn. (4) [23]
Ψ(t, TW, T) Mean no. of parous flies at t, TW and T Eqn. (5) [23]
V(t, TW, T) Mean no. of vectors at t, TW and T N(t, TW, T) + Ψ(t, TW, T) [23]
ΔE(TW) Duration of egg stage at water temperature TW (days) 11.493  exp(−0.0701TW) [23]
ΔL(TW) Duration of larval stage at TW (days) 87.527  exp(−0.0785TW) [23]
ΔP(TW) Duration of pupal stage at TW (days) 20.098  exp(−0.0699TW) [23]
μE0 Background per capita rate of eggs (day–1) 0.05 [23]
μL1 Mortality rate of larvae due to larviciding (day-1) ln1εLμL0 This study
β N Per nulliparous fly rate of oviposition (day–1) εNexpμVTgTgT [23]
β P Per parous fly rate of oviposition (day-1) εPμVTexpμVTgT1 [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)