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Modeling the joint epidemics of TB and HIV in a South African township
Authors:Nicolas Bacaër  Rachid Ouifki  Carel Pretorius  Robin Wood  Brian Williams
Affiliation:Institut de Recherche pour le Développement, 32 avenue Henri Varagnat, 93143 Bondy, France. bacaer@bondy.ird.fr
Abstract:We present a simple mathematical model with six compartments for the interaction between HIV and TB epidemics. Using data from a township near Cape Town, South Africa, where the prevalence of HIV is above 20% and where the TB notification rate is close to 2,000 per 100,000 per year, we estimate some of the model parameters and study how various control measures might change the course of these epidemics. Condom promotion, increased TB detection and TB preventive therapy have a clear positive effect. The impact of antiretroviral therapy on the incidence of HIV is unclear and depends on the extent to which it reduces sexual transmission. However, our analysis suggests that it will greatly reduce the TB notification rate.
Keywords:HIV  TB  Epidemic model  Bifurcation diagram
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