Mathematical models of HIV/AIDS and drug addiction in prisons

被引：47

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.

引用

页数：12

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