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Hossein Jafari

Hossein Jafari

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 2466

Research

Title
Mathematical models of HIV/AIDS and drug addiction in prisons
Type
JournalPaper
Keywords
HIV/AIDS, Drug addiction, Epidemic model, Stability analysis, Reproduction number
Year
2020
Journal The European Physical Journal Plus
DOI
Researchers Afshin Babaei ، Hossein Jafari ، Atena Liya

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.