Mathematical models of HIV/AIDS and drug addiction in prisons

被引：46
作者：
Babaci, Afshin [1 ]
Jafari, Hossein [1 ,2 ]
Liya, Atena [1 ]
机构：
[1] Univ Mazandaran, Dept Math, POB 47416-95447, Babol Sar, Iran
[2] Univ South Africa, Dept Math Sci, UNISA, ZA-0003 Pretoria, South Africa
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2020年 / 135卷 / 05期
关键词：
EPIDEMIC MODEL; HIV;
D O I：
10.1140/epjp/s13360-020-00400-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：12
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