Department of Applied Mathematics, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China.
Biomed Res Int. 2013;2013:413260. doi: 10.1155/2013/413260. Epub 2013 Sep 30.
A compartmental model with antiviral therapy was proposed to identify the important factors that influence HIV infection among gay men in China and suggest some effective control strategies. We proved that the disease will be eradicated if the reproduction number is less than one. Based on the number of annual reported HIV/AIDS among MSM we used the Markov-Chain Monte-Carlo (MCMC) simulation to estimate the unknown parameters. We estimated a mean reproduction number of 3.88 (95% CI: 3.69-4.07). The estimation results showed that there were a higher transmission rate and a lower diagnose rate among MSM than those for another high-risk population. We compared the current treatment policy and immediate therapy once people are diagnosed with HIV, and numerical studies indicated that immediate antiviral therapy would lead to few HIV new infections conditional upon relatively low infectiousness; otherwise the current treatment policy would result in low HIV new infection. Further, increasing treatment coverage rate may lead to decline in HIV new infections and be beneficial to disease control, depending on the infectiousness of the infected individuals with antiviral therapy. The finding suggested that treatment efficacy (directly affecting infectiousness), behavior changes, and interventions greatly affect HIV new infection; strengthening intensity will contribute to the disease control.
我们提出了一个带有抗病毒治疗的 compartmental 模型,以确定影响中国男同性恋者 HIV 感染的重要因素,并提出一些有效的控制策略。我们证明,如果繁殖数小于 1,那么这种疾病就会被消灭。基于每年报告的男男性行为人群中的 HIV/AIDS 数量,我们使用马尔可夫链蒙特卡罗(MCMC)模拟来估计未知参数。我们估计平均繁殖数为 3.88(95%置信区间:3.69-4.07)。估计结果表明,男男性行为人群中的传播率较高,诊断率较低。我们比较了目前的治疗政策和一旦人们被诊断出 HIV 就立即进行治疗的策略,数值研究表明,立即进行抗病毒治疗将导致 HIV 新感染的数量较少,前提是感染个体的传染性相对较低;否则,目前的治疗政策将导致 HIV 新感染数量较低。此外,提高治疗覆盖率可能会降低 HIV 新感染率,并有利于疾病控制,这取决于接受抗病毒治疗的感染者的传染性。研究结果表明,治疗效果(直接影响传染性)、行为改变和干预措施对 HIV 新感染有重大影响;加强干预力度将有助于疾病控制。