Department of Mathematics, Shanghai University, 99 Shangda Road Shanghai, 200444, PR China.
BMC Public Health. 2009 Nov 18;9 Suppl 1(Suppl 1):S10. doi: 10.1186/1471-2458-9-S1-S10.
Men who have sex with men (MSM) are much more likely to be infected with HIV than the general population. China has a sizable population of MSM, including gay, bisexual men, money boys and some rural workers. So reducing HIV infection in this population is an important component of the national HIV/AIDS prevention and control program.
We develop a mathematical model using a sex-role-preference framework to predict HIV infection in the MSM population and to evaluate different intervention strategies.
An analytic formula for the basic reproduction ratio R0 was obtained; this yields R0 = 3.9296 in the current situation, so HIV will spread very fast in the MSM population if no intervention measure is implemented in a timely fashion. The persistence of HIV infection and the existence of disease equilibrium (or equilibria) are also shown. We utilized our model to simulate possible outcomes of antiretroviral therapy and vaccination for the MSM population. We compared the effects of these intervention measures under different assumptions about MSM behaviour. We also found that R0 is a decreasing function of the death rate of HIV-infected individuals, following a power law at least asymptotically.
HIV will spread very fast in the MSM population unless intervention measures are implemented urgently. Antiretroviral therapy can have substantial impact on the reduction of HIV among the MSM population, even if disinhibition is considered. The effect of protected sexual behaviour on controlling the epidemic in the MSM population largely depends on the sex-ratio preference of different sub-populations.
男男性行为者(MSM)比一般人群更容易感染艾滋病毒。中国有相当数量的 MSM,包括男同性恋者、双性恋者、男妓和一些农民工。因此,减少该人群中的艾滋病毒感染是国家艾滋病毒/艾滋病预防和控制规划的一个重要组成部分。
我们使用性角色偏好框架建立了一个数学模型,用于预测 MSM 人群中的 HIV 感染,并评估不同的干预策略。
得到了基本繁殖数 R0 的解析公式;在当前情况下,R0=3.9296,因此,如果不及时采取干预措施,艾滋病毒将在 MSM 人群中迅速传播。还表明了 HIV 感染的持久性和疾病平衡点(或平衡点)的存在。我们利用我们的模型来模拟针对 MSM 人群的抗逆转录病毒治疗和疫苗接种的可能结果。我们比较了在不同 MSM 行为假设下这些干预措施的效果。我们还发现,R0 是 HIV 感染个体死亡率的递减函数,至少在渐近意义上是幂律关系。
除非紧急实施干预措施,否则艾滋病毒将在 MSM 人群中迅速传播。抗逆转录病毒治疗可以对减少 MSM 人群中的 HIV 产生重大影响,即使考虑到去抑制作用。保护性行为对控制 MSM 人群中疫情的影响在很大程度上取决于不同亚群的性别比例偏好。