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Table 1 LMM parameters and mathematical formulations

From: Development of a new version of the Liverpool Malaria Model. I. Refining the parameter settings and mathematical formulation of basic processes based on a literature review

sym

parameter

unit

val2004

ref2004

val2010

ref2010

Rlit

D gH

humid degree days of the gonotrophic cycle

degree days

37.1

[7]

37.1

[7]

37.1

D gL

dry degree days of the gonotrophic cycle

degree days

65.4

[7]

65.4

[7]

65.4

T gH

humid gonotrophic temperature threshold

°C

7.7

[7]

7.7

[7]

7.7

T gL

dry gonotrophic temperature threshold

°C

4.5

[7]

4.5

[7]

4.5

R _

10-day accumulated precipitation threshold

mm

10

NA

10

NA

NA

R •

rainfall laying multiplier

-

1.0

NA

NU

NA

NA

#E p

number of produced eggs per female mosquito

eggs

NU

NU

CA

Add. file 1

5-290

#E o

number of oviposited eggs per female mosquito

eggs

NU

NU

Eq. 2

NA

NA

U 1

lower threshold of unsuitable rainfall conditions (fuzzy distribution model)

mm

NU

NU

0

[27]

0

S

most suitable rainfall condition (fuzzy distribution model)

mm

NU

NU

CA

NA

NA

U 2

upper threshold of unsuitable rainfall conditions (fuzzy distribution model)

mm

NU

NU

CA

NA

NA

CAP

cap on the number of fertile mosquitoes

-

10,000

NA

CA

NA

NA

MMA

mosquito mature age

days

15

[128]

12

Add. files 2 & 3

11.2-30

η d,¬R

rainfall independent immature daily mosquito survival probability

%

NU

NU

82.5

Add. file 3

52.7-99.9

η d

daily immature mosquito survival probability

%

Eq. 3

NA

Eq. 4

NA

52.7-89.9

p d

daily mosquito survival probability

%

Martens I

[59]

Martens II

[59]

Add. file 4

p d↓

dry season mosquito survival probability shift

%

NU

NU

CA

NA

Add. file 4

D s

degree-days of the sporogonic cycle

degree days

111.0

[7]

111.0

[129]

111.0-204.4

T s

sporogonic temperature threshold

°C

18

[7]

16

[7]

14.2-19.0

a

human blood index

%

50

NA

80

[81, 90]

0-100

b

mosquito-to-human transmission efficiency

%

50

NA

30

Add. file 5

1-50

c a→c

adult-child conversion rate

-

NU

NU

0.5

[125]

0.28-0.5

HIA

human infectious age

days

14

NA

20

see text

12-30

r

daily human recovery rate

day-1

0.0284

NA

0.0050

e.g., [113]

0.0015-0.0385

GF

fraction of gametocyte carriers

%

NU

NU

50

Add. file 6

10-70

c

human-to-mosquito transmission efficiency

%

50

NA

20

Add. file 7

0-37.9

tr im

trickle of the number of added infectious mosquitoes

-

1.01

NA

1.01

NA

NA

  1. LMM model parameters and mathematical formulations with regard to their original [10] and new settings. Columns: sym: symbol of the model parameter; parameter: name of the parameter; unit: unit; val2004: parameter value or mathematical formulation of the LMM2004; ref2004: LMM2004 reference; val2010: parameter value or mathematical formulation of the LMM2010; ref2010: LMM2010 reference; Rlit: literature values. Abbreviations: NU: not used; NA: not available; CA: will be calibrated in the second part of this study [14]. Parameter values and mathematical formulations in bold are determined in the present study.