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Table 1 Model parameters

From: A dynamic model of some malaria-transmitting anopheline mosquitoes of the Afrotropical region. I. Model description and sensitivity analysis

Variable

Description

Equation(s)/reference

T indoor

Indoor temperature

36

T air

Near surfacetemperature (2 m)

25, 26, 30, 36

ε

Potential number ofnew eggs

13

m n

Number of mosquitoes ineach age group

8

P(B)

Daily probability of gettinga blood meal

41

T water

Water temperature

14, 16, 18

T soil

0-10 cm soil temperature

[9194]

βN,L(T water )

Natural mortiality rate,eggs, larva, and pupa

14, 1, 2, 3, 4, 5, 6

τ g a m b

An. gambiae s.s. develop- ment rate, aquatic stages

20

τ arab

An. arabiensis develop-ment rate, aquatic stages

22

τ E

An. gambiae s.l. development rate, eggs

[97] 1

τ L 1 - 4

An. gambiae s.l. development rate, instar 1-4

[97] 2, 3, 4, 5

τ P

An. gambiae s.l. development rate, pupa

[97] 6

f arab

Aquatic development rate modification An. arabiensis

[8]

f g a m b

Aquatic development rate modification An. gambiae s.s.

[8]

L n

Number of larvae

21, 19

f arab

Mortality rate modification

[72] 17

f g a m b

Mortality rate modification

[72] 15

S f

scaling factor for winddispersion

39

F r m

Flight range

41

E

Number of eggs

1

G(T)

Biting rate/gonotrophiccycle

26

t

time

 

B L

Larva biomass

1

β I,x

Induced mortalityin aquatic and adult stages

1, 2, 3, 4, 5, 6,7, 8

S M r

Dimensionless time varying water constant, or rate at which ovipositing sites are found

24

K

Carrying capacity

24

L 1

Number of 1stinstar larva

2

L 2

Number of 2ndinstar larva

3

L 3

Number of 3rdinstar larva

4

L 4

Number of 4thinstar larva

5

P

Number of pupa

6

C pred

Predation constant.Currently set to 0

2

F g o n o t

part of gonotrophic cycle formulation

26

D d

Degree days

[108], 26

T c

Critical temperature

26

β h,m

Adult mortality related to feeding

42

h

Number of humans

[42]

Φ ı,ȷ

flux

39

n

Dimension in age grid

 

m size

Size of newly emerged mosquitoes

9

m size n

Size of mosquitoes in age group n

12

L size

Prediction of larva size

10

a s p p

Size constant

[22]

b s p p

Size constant

[22]

R p

Potential river length in km

23

Ξ

Equally spaced riverdataset resolution indegrees

23

E R

Earth radius inkm (6371.22)

23

φ

latitude in radians

23

D

Diffusion coefficient

39

LT

Local time

37

κ

Diurnal modification fortransport of mosquitoes

37

HBI

Human blood index

41, 42

g m size n

Size dependent mortality

28

β N,m

Natural mortality of adultmosquitoes

32, 7, 8

ϖN,m(α,ζ,a)

Survival curve for adultmosquitoes

35, 31

α

Shape parameter for adult survival

3330

T mod

Sub-function forequation 33

34

ρ bovine/cattle

Probability of finding cattle

41

ρ human

Probability of findinghumans

41

  1. Description of model components.