Table 1

Model parameters

Parameter

Definition

Value(s)

References


Disease-specific parameters


φ

Routine vaccination rate

0.5/year

assumed


γ

Recovery rate

Disease A: 1/19 per day*

Disease B: 1/14 per day*

Disease C: 1/30 per day*

[12]


RO

Basic reproductive number

Disease A: 6*

Disease B:15*

Disease C: 14*

[12]


ε

Efficacy of vaccine after 1 dose

Disease A: 99%*

Disease B: 95%*

Disease C: 90%*

[7,8,25]


Country-specific parameters


m

Case importation rate

0.0001 per year per

capita in all countries

assumed


μ

Birth/death rate

(per 1, 000 per year)

[As of 2009]

India: 21.72/1000/yr

Nigeria: 36.65/1000/yr

Afghanistan: 38.37/1000/yr

[25-28]


N

Total population

[As of 2009]

India: 1, 156, 897, 766

Nigeria: 149, 229, 090

Afghanistan: 28, 395, 716

[25-28]


*The parameter values for diseases A, B and C are hypothetical but plausible, being based on values for common paediatric infections such as measles, pertussis, and polio. (However we note that R0 can vary between populations and over time, and efficacy for oral polio vaccines can be as low as 50%).

Fitzpatrick and Bauch BMC Public Health 2011 11:739   doi:10.1186/1471-2458-11-739

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