Table 1 List of symbols

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%

$\overline{\epsilon }$

Vaccine immunogenicity in adult women

98%

75–98%

p

Proportion of female children vaccinated

77%

0–100%

$\overline{p}$

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

$\frac{1}{13-1/\mu }{\text{years}}^{-1}$

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

$f(\overline{\epsilon }\overline{p})$

Rate at which unvaccinated adult women are vaccinated

$\frac{c\overline{\epsilon }\overline{p}}{1-\overline{\epsilon }\overline{p}+\gamma }$

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%