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Table 3 Sets of parameter values used in numerical experiments

From: A comparison of five malaria transmission models: benchmark tests and implications for disease control

Model

Parameters

Parameter set 1

Parameter set 2

Parameter set 3

McKenzie

DH, DV, WN, IM,

0, 15, 30,.009,

25, 10, 25,.0027,

15, 5, 15,.00055,

 

h, d, f

.3,.03302,.13

.1,.03304,.05

.5,.1,.15

Ross

a, b, c, r, μ2

.3,.2,.5,.01,.03302

.1,.03,.275,.0035,.03304

.5,.4,.4,.05,.1

Macdonald

a, b, c,

.3,.2,.5,

.1,.03,.275,

.5,.4,.4,

 

r, μ2, τ m

.01,.03302, 15

.0035,.03304, 10

.05,.1, 5

Anderson

a, b, c, r,

.3,.2,.5,.01,

.1,.03,.275,.0035,

.5,.4,.4,.05,

and May

μ1, μ2, τ h , τ m

.017/365,.033, 10, 15

5.2·10-6,.033, 25, 10

1.03·10-5,.1, 15, 5

Chitnis

Λ h , ψ h , ψ m , σ m ,

.033, 1.1·10-5,.13,.5,

.041, 5.5·10-5,.05,.3, 5,.

.037,.00011,.15,.6,

 

σ h , b h m , b m h , b ~ mh ,

19,.2,.5,.048,

03,.25,.025,.04,

3.5,.4,.37,.03,

 

ν h , ν m ,

.1,.067,

.1,.0035,

.067,.2,

 

γ h , δ h ,

.01, 9·10-5,

2·10-5,.0027,

.05, 7·10-5,

 

ρ h , μ1h, μ2h,

.009, 4.6·10-5, 5·10-7,

5·10-6, 2·10-7,

.00055, 10-5, 3·10-7,

 

u1v, u2v

033, 2·10-5

.033, 4·10-5

.1-2·10-5, 2·10-5

Initial

Quantity

High

Medium

Low

condition

 

transmission

transmission

transmission

 

S h ,E h ,I h

500,10,30

510,50,40

600,20,3

 

S m ,E m ,I m

4000,100,50

3000,10,25

2400,30,5

  1. Relationships among parameters: b=b h m , c= b mh + b ~ mh , τ h =DH= 1 ν h , τ m =DM= 1 ν m , r=γ h , μ1=μ1h+μ2h, μ2=μ1m+μ2m, h=a, d=μ1=1-V S, q=I M=ρ h , p= log 2 WN , k= log 2 DH , g= log 2 DV , ψ m =f. Notes on initial conditions: For those in which recovered is not a human category, the initial recovered population was included in the susceptible group. If there is not an exposed category in humans and/or mosquitos, the initial exposed population was combined with the infected group. Absolute numbers were reinterpreted as percentages or ratios when appropriate.