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Title Mathematical models of HIV/AIDS and drug addiction in prisons
Type JournalPaper
Keywords HIV/AIDS, Drug addiction, Epidemic model, Stability analysis, Reproduction number
Abstract In this study, we examine the interaction between drug addiction and the contagion of HIV/AIDS in Iranian prisons. We provide a simple mathematical model for such an interaction. The stability of drug addiction and HIV/AIDS models are analyzed separately with no medical treatment. Then, we present an improved model describing the effect of treatment of drug users on the spread of HIV/AIDS. This fully extended model is obtained by adding some new parameters for the treatment of drug addiction. The impact of rehabilitating treatments on the control of HIV/AIDS spread in prisons is investigated, and finally, the reproduction numbers are compared in cases where there is no cure or some treatment methods are available.
Researchers Atena Liya (Third Researcher), Hossein Jafari (Second Researcher), Afshin Babaei (First Researcher)