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Background Mathematical models can be powerful policymaking tools. Simple, static models are user-friendly for policymakers. More complex, dynamic models account for time-dependent changes but are complicated to understand and produce. Under which conditions are static models adequate? We compare static and dynamic model predictions of whether behavioural disinhibition could undermine the impact of HIV pre-exposure prophylaxis (PrEP) provision to female sex workers in South Africa. Methods A static model of HIV risk was developed and adapted into a dynamic model. Both models were used to estimate the possible reduction in condom use, following PrEP introduction, without increasing HIV risk. The results were compared over a 20-year time horizon, in two contexts: at epidemic equilibrium and during an increasing epidemic. Results Over time horizons of up to 5 years, the models are consistent. Over longer timeframes, the static model overstates the tolerated reduction in condom use where initial condom use is reasonably high (⁠|$\ge$| 50%) and/or PrEP effectiveness is low (⁠|$\le$| 45%), especially during an increasing epidemic. Conclusions Static models can provide useful deductions to guide policymaking around the introduction of a new HIV intervention over short–medium time horizons of up to 5 years. Over longer timeframes, static models may not sufficiently emphasise situations of programmatic importance, especially where underlying epidemics are still increasing. [ABSTRACT FROM AUTHOR]

Background There is urgent need for effective HIV prevention methods that women can initiate. The CAPRISA 004 trial showed that a tenofovir-based vaginal microbicide had significant impact on HIV incidence among women. This study uses the trial findings to estimate the population-level impact of the gel on HIV and HSV-2 transmission, and price thresholds at which widespread product introduction would be as cost-effective as male circumcision in urban South Africa. Methods The estimated 'per sex-act' HIV and HSV-2 efficacies were imputed from CAPRISA 004. A dynamic HIV/STI transmission model, parameterised and fitted to Gauteng (HIV prevalence of 16.9% in 2008), South Africa, was used to estimate the impact of gel use over 15 years. Uptake was assumed to increase linearly to 30% over 10 years, with gel use in 72% of sexacts. Full economic programme and averted HIV treatment costs were modelled. Cost per DALY averted is estimated and a microbicide price that equalises its cost-effectiveness to that of male circumcision is estimated. Results Using plausible assumptions about product introduction, we predict that tenofovir gel use could lead to a 12.5% and 4.9% reduction in HIV and HSV-2 incidence respectively, by year 15. Microbicide introduction is predicted to be highly cost-effective (under $300 per DALY averted), though the dose price would need to be just $0.12 to be equally cost-effective as male circumcision. A single dose or highly effective (83% HIV efficacy per sex-act) regimen would allow for more realistic threshold prices ($0.25 and $0.33 per dose, respectively). Conclusions These findings show that an effective coitally-dependent microbicide could reduce HIV incidence by 12.5% in this setting, if current condom use is maintained. For microbicides to be in the range of the most cost-effective HIV prevention interventions, product costs will need to decrease substantially. [ABSTRACT FROM AUTHOR]

Objectives: This study simulates the potential impact of male circumcision and female microbicide interventions, singularly and in combination, in rural Uganda.Methods: A dynamic model was parameterised and fitted to setting-specific data, and used to estimate the impact on HIV transmission of a microbicide and/or male circumcision intervention over 15 years. The proportion of circumcised men or women using microbicides was assumed to increase linearly from 0.18 (male circumcision) or 0.00 (microbicide use) to the final proportion 10 years later, then remain constant for 5 years. Women using microbicides were assumed to use the product in 80% of penile-vaginal sex acts. Male circumcision or microbicide use was assumed to reduce the per-act probability of HIV acquisition in men or women, respectively, by 60%.Results: Independently, to obtain a 30% relative reduction in HIV incidence at 15 years, the model suggests that the final proportion of women using microbicides would need to be 0.91 (95% CI 0.75 to 1.00) or the proportion of circumcised men would need to be 0.96 (0.83 to impact not possible). The same impact could be achieved by combining the interventions, eg, if the proportion of women using microbicides was 0.49 (0.39 to 0.56) and the proportion of circumcised men was 0.67 (0.57 to 0.74).Conclusions: Under these assumptions, as separate interventions it is unlikely that increases in either the proportion of men circumcised or of women using microbicides could reduce HIV incidence by 30% or more at 15 years. A combination-prevention strategy using complementary interventions may be a more feasible approach to achieve substantial reductions in incidence. [ABSTRACT FROM AUTHOR]

Objectives: This study assesses whether the observed declines in HIV prevalence since the beginning of the 'Avahan' India HIV/AIDS prevention initiative are consistent with self-reported increases in condom use by female sex workers (FSWs) in two districts of southern India, and provides estimates of the fraction of new infections averted among FSWs and clients due to increases in condom use in commercial sex after 2004.Methods: A deterministic compartmental model of HIV/sexually transmitted infection (STI) transmission incorporating heterogeneous sexual behaviour was developed, parameterised and fitted using data from two districts in Karnataka, India. Three hypotheses of condom use among FSWs were tested: (H(0)), that condom use increased in line with reported FSW survey data prior to the Avahan initiative but remained constant afterwards; (H(1)) that condom use increased following the Avahan initiative, in accordance with survey data; (H(2)) that condom use increased according to estimates derived from condom distribution data. The proportion of fits to HIV/STI prevalence data was examined to determine which hypothesis was most consistent.Results: For Mysore 0/36/82.7 fits were identified per million parameter sets explored under hypothesis H(0)/H(1)/H(2), respectively, while for Belgaum 9.7/8.3/0 fits were identified. The HIV epidemics in Belgaum and Mysore are both declining. In Mysore, increases in condom use during commercial sex between 2004 and 2009 may have averted 31.2% to 47.4% of new HIV infections in FSWs, while in Belgaum it may have averted 24.8% to 43.2%, if there was an increase in condom use.Discussion: Increased condom use following the Avahan intervention is likely to have played a role in curbing the HIV epidemic in Mysore. In Belgaum, given the limitations in available data, this method cannot be used alone to decide if there has been an increase in condom use. [ABSTRACT FROM AUTHOR]

Aims To explore whether the low HIV prevalence observed in Bangladesh results from prevention activities, this study uses mathematical modelling to estimate the impact of a needle/syringe exchange intervention for injecting drug users (IDUs) in Dhaka, Bangladesh. Design Epidemiological, behavioural and intervention monitoring data were used to parameterize a dynamic mathematical model, and fit it to National HIV Sero-surveillance data among IDUs (2000–02). The model was used to estimate the impact of the intervention on HIV transmission among IDUs and their sexual partners. Setting Dhaka, Bangladesh, where the HIV prevalence has remained low despite high-risk sexual and injecting behaviours, and growing HIV epidemics in neighbouring countries. Findings The model predicts that the intervention may have reduced the incidence of HIV among IDUs by 90% (95% CI 74–94%), resulting in an IDU HIV prevalence of 10% (95% CI 4–19%) after 8 years of intervention activity instead of 42% (95% CI 30–47%) if the intervention had not occurred. Conclusions The analysis highlights the potential for rapid HIV spread among IDUs in Dhaka, and suggests that the intervention may have substantially reduced IDU HIV transmission. However, there is no room for complacency. Sustained and expanded funding for interventions in Dhaka and other regions of Bangladesh are crucial to maintaining the low HIV prevalence. [ABSTRACT FROM AUTHOR]