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Table 2 Model parameters and their prior distributions

From: The association of HPV-16 seropositivity and natural immunity to reinfection: insights from compartmental models

Parameter description

Symbol

Prior

Source

Per-partnership probability of transmission from female to male used to calculate the force of infection λ.

β m

U(0.10-1.00)

[25]

Per-partnership probability of transmission from male to female used to calculate the force of infection λ.

β f

U(0.10-1.00)

[25]

Average duration of infection for males

Tin,m

U(0.60,1.70)

[26, 27]

Average duration of infection for females

Tin,f

U(0.75,1.50)

[28–30]

Average rate of loss of immunity for males; defined as 1/Tim,m i.e. the inverse of the average duration of natural immunity for males

rli,m

U(0.01,0.33) (SIRS1, SIRS2); U(0.01,1.0) (SIRS3, SIRS4);

[31] (SIRS1, SIRS2); Not available (SIRS3, SIRS4);

Average rate of loss of immunity for females; defined as 1/Tim,f i.e. the inverse of the of natural immunity for females

rli,f

U(0.01,0.33) (SIRS1, SIRS2); U(0.01,1.0) (SIRS3, SIRS4);

[31] (SIRS1, SIRS2); Not available (SIRS3, SIRS4);

Probability of seroconversion for males

pm

U(0.01,0.30)

[15]

Probability of seroconversion for females

pf

U(0.40,0.70)

[32]

Average rate of seroreversion for males

rsr,m

U(0.01,0.10)

[33]

Average rate of seroreversion for females

rsr,f

U(0.10,1.00)

[18, 32, 34]

Average degree of immunity for seropositive males

sm

U(0.00,1.00)

Not available

Average degree of immunity for seropositive females

sf

U(0.10,1.00)

[35–37]

Average time to seroconversion for males (a proportion of Tin,m)

Tsc,m

U(0.50,0.95)

[15]

Average time to conversion for females (a proportion of Tin,f)

Tsc,f

U(0.50,0.95)

[32, 33]

Degree of assortativity by age group

ε a

U(0.10,0.90)

Not available

Degree of assortativity by sexual activity group

ε r

U(0.10,0.90)

Not available

  1. All durations are in years, and all rates are per capita annual rates.