Department of Applied Mathematics, National University of Science and Technology, Bulawayo, Zimbabwe.
Comput Math Methods Med. 2010 Sep;11(3):201-22. doi: 10.1080/17486700903325167.
A deterministic compartmental sex-structured HIV/AIDS model for assessing the effects of homosexuals and bisexuals in heterosexual settings in which homosexuality and bisexuality issues have remained taboo is presented. We extend the model to focus on the effects of condom use as a single strategy approach in HIV prevention in the absence of any other intervention strategies. Initially, we model the use of male condoms, followed by incorporating the use of both the female and male condoms. The model includes two primary factors in condom use to control HIV which are condom efficacy and compliance. Reproductive numbers for these models are computed and compared to assess the effectiveness of male and female condom use in a community. We also extend the basic model to consider the effects of antiretroviral therapy as a single strategy. The results from the study show that condoms can reduce the number of secondary infectives and thus can slow the development of the HIV/AIDS epidemic. Further, we note from the study that treatment of AIDS patients may enlarge the epidemic when the treatment drugs are not 100% effective and when treated AIDS patients indulge in risky sexual behaviour. Thus, the treatment with amelioration of AIDS patients should be accompanied with intense public health educational programs, which are capable of changing the attitude of treated AIDS patients towards safe sex. It is also shown from the study that the use of condoms in settings with the treatment may help in reducing the number of secondary infections thus slowing the epidemic.
本文提出了一种确定性房室结构 HIV/AIDS 模型，用于评估在同性恋和双性恋问题仍然是禁忌的异性恋环境中同性恋者和双性恋者的影响。我们将模型扩展到关注在没有其他干预策略的情况下，使用避孕套作为单一策略方法预防 HIV 的效果。最初，我们对男性避孕套的使用进行建模，然后再纳入女性和男性避孕套的使用。该模型包括控制 HIV 避孕套使用的两个主要因素，即避孕套的功效和遵守情况。计算这些模型的繁殖数，以评估社区中男性和女性避孕套使用的效果。我们还将基本模型扩展到考虑作为单一策略的抗逆转录病毒疗法的效果。研究结果表明，避孕套可以减少继发感染者的数量，从而可以减缓 HIV/AIDS 疫情的发展。此外，我们从研究中注意到，当治疗药物不是 100%有效且接受治疗的 AIDS 患者从事危险性行为时，治疗 AIDS 患者可能会扩大疫情。因此，对 AIDS 患者的治疗应伴随着强化的公共卫生教育计划，这能够改变接受治疗的 AIDS 患者对安全性行为的态度。研究还表明，在有治疗的环境中使用避孕套有助于减少继发感染的数量，从而减缓疫情的发展。
