Skip to main content
. Author manuscript; available in PMC: 2011 Sep 1.
Published in final edited form as: Epidemiology. 2010 Sep;21(5):676–684. doi: 10.1097/EDE.0b013e3181e6639f

TABLE.

Model Parameters

Symbol Values Explored Description
N0 10,000 Initial population size
c 0.1, 0.1666, 0.3333, 0.5, 1.1111 Mean no. sex acts per partnership per day
βa i (β1, β2, β3) = (0.03604, 0.00084, 0.00421) Transmission probability per act during stage i
γi (γ1, γ2, γ3) = (1/49, 1/2570, 1/365) Stage-progression probability from stage i to the next per day
σ 0, 0.0001, 0.001, 0.01, 0.1, 1 Partnership dissolution probability per day
ξ 0, 0.3, 0.7, 1 The ratio of partnership formation probabilities comparing a partnership between 2 individuals of whom at least one is not single to a partnership between 2 single individuals
μ 1/9120 Probability an individual leaves the sexually active population per day
N 0.9, 1, 1.5, 3, 5 Population-averaged no. partners per person
a

β1 and β2 were based on new analyses6 of the Rakai study.7 To compute β3, we used the data about the last 2 follow-up periods of the “late-stage index partner” cohort from the Rakai study.7 There were total 66 discordant couples and transmissions occurred in 17 couples. Average no. sex acts was 70.7 per couple. Thus, β3 = 1 − (1 − NT/N)1/c for N = 66, NT = 17, c = 70.7.