Table 1

List of symbols

Symbol

Definition

Sample value used

Parameter range

C_U

Unvaccinated female children

(state variable)

A_U

Unvaccinated adult women

(state variable)

C_V

Vaccinated female children

(state variable)

A_V

Vaccinated adult women

(state variable)

I_U

Uninfected adult women

(state variable)

I_V

Infected adult women

(state variable)

M

Uninfected men

(state variable)

N

Infected men

(state variable)

π_W

Rate of appearance of new females

50 per year

0–100

π_M

Rate of appearance of new males

50 per year

0–100

ε

Vaccine immunogenicity in female children

98%

75–98%

Vaccine immunogenicity in adult women

98%

75–98%

p

Proportion of female children vaccinated

77%

0–100%

Proportion of adult women vaccinated

40%

0–100%

μ_C

Mortality rate of children

1/70 years ^-1

1/140–1/13

μ

Leaving rate of adults

1/10 years^-1

1/12–1

α

Rate of progression of female children to sexually activity

1/12–1

c

Attentuation constant

0.15 years^-1

0–0.3

γ

Maximal possible rate of adult vaccination

0.1

0–0.2

Rate at which unvaccinated adult women are vaccinated

β_N

Probability of infection of a woman by an infected man

0.00056

0–0.00112

β_M

Probability of infection of a man by an infected woman

0.0003

0–0.0006

ψ

Vaccine efficacy

95%

85–95%

Sample parameters were chosen so that (ie the total time between vaccination and leaving was always 13 years), γc^-1 = 16.67 (ie the optimum age of vaccination for a perfect vaccine with 100% coverage was 16 years 9 months), β_N > β_M (ie the transmission probability from men to women was higher than from women to men), the total prevalence without vaccination was 24% and so that the proportion of adult-only vaccination was equal to the proportion of childhood-only vaccination required to eradicate targeted types.

Llamazares and Smith? BMC Public Health 2008 8:114   doi:10.1186/1471-2458-8-114