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Table 1 LMM parameters and mathematical formulations

From: Development of a new version of the Liverpool Malaria Model. II. Calibration and validation for West Africa

sym

parameter

val2004

val2010

D gH

humid degree days of the gonotrophic cycle

37.1 degree days

37.1 degree days

D gL

dry degree days of the gonotrophic cycle

65.4 degree days

65.4 degree days

T gH

humid gonotrophic temperature threshold

7.7°C

7.7°C

T gL

dry gonotrophic temperature threshold

4.5°C

4.5°C

R -

10-day accumulated precipitation threshold

10 mm

10 mm

R •

rainfall laying multiplier

1.0

NU

#E p

number of produced eggs per female mosquito

NU

120 eggs

#E o

number of oviposited eggs per female mosquito

NU

Eq. Two in [10]

U 1

lower threshold of unsuitable rainfall conditions (fuzzy distribution model)

NU

0 mm

S

most suitable rainfall condition (fuzzy distribution model)

NU

10 mm

U 2

upper threshold of unsuitable rainfall conditions (fuzzy distribution model)

NU

500 mm

CAP

cap on the number of fertile mosquitoes

10,000 mosquitoes

400 mosquitoes

MMA

mosquito mature age

15 days

12 days

ηd,¬R

rainfall independent immature daily mosquito survival probability

NU

82.5%

η d

daily immature mosquito survival probability (in %)

Eq. Three in [10]

Eq. Four in [10]

p d

daily mosquito survival probability (in %)

Martens I (see [10])

Martens II (see [10])

p d↓

dry season mosquito survival probability shift

NU

-10%

D s

degree-days of the sporogonic cycle

111 degree days

111 degree days

T s

sporogonic temperature threshold

18°C

16°C

a

human blood index

50%

80%

b

mosquito-to-human transmission efficiency

50%

30%

c a→c

adult-child conversion rate

NU

0.5

HIA

human infectious age

14 days

20 days

r

daily human recovery rate

0.0284 day 1

0.0050 day-1

GF

fraction of gametocyte carriers

NU

50%

c

human-to-mosquito transmission efficiency

50%

20%

tr im

trickle of the number of added infectious mosquitoes

1.01 mosquitoes

1.01 mosquitoes

  1. LMM model parameters and mathematical formulations with regard to their original (Hoshen and Morse 2004) and new settings. Columns: sym: symbol of the model parameter; parameter: name of the parameter; unit: unit; val2004: LMM2004 value; val2010: LMM2010 value. Abbreviations: NU: not used. Parameter values in italics refer to calibrated values and those values and mathematical formulations in bold were determined in the first part of this study [10].