Garnett G P, Anderson R M
Parasite Epidemiology Research Group, Imperial College, London University, U.K.
Philos Trans R Soc Lond B Biol Sci. 1993 Oct 29;342(1300):137-59. doi: 10.1098/rstb.1993.0143.
The paper describes the development and analysis of a mathematical model of the spread and demographic impact of HIV in heterosexual communities in developing countries. The model extends previous work in this area by the representation of patterns of mixing between and within different age and sexual activity classes in a two sex structure. Summary parameters are derived to represent different mixing patterns, ranging from assortative via random to disassortative, as are methods to ensure that particular mixing patterns between different age and sexual classes (stratified on the basis of rates of sexual partner change) meet constraints that balance the supply and demand for sexual partners as AIDS induced mortality influences the demographic structure of a population. Analyses of model behaviour rely on numerical methods due to the complexity of the mathematical framework, and sensitivity analyses are conducted to assess the significance of different assumptions and different parameter assignments. Simulated patterns of HIV spread across the two sexes and various age classes are compared with observed patterns in Uganda. The principle conclusion of the study is that the pattern of mixing between age and sexual activity classes, combined with the assumptions made to balance supply and demand between the sexes have a very major influence on the predicted pattern of HIV spread and the demographic impact of AIDS. The paper ends with a discussion of future needs in model development and data acquisition.
本文描述了发展中国家异性恋群体中艾滋病毒传播及其人口统计学影响的数学模型的开发与分析。该模型通过在两性结构中呈现不同年龄和性活动类别之间及内部的混合模式,扩展了该领域先前的研究工作。推导了汇总参数以表示从 assortative 到随机再到 disassortative 的不同混合模式,还提出了确保不同年龄和性类别之间特定混合模式(根据性伴侣更换率分层)满足性伴侣供需平衡约束的方法,因为艾滋病导致的死亡率会影响人口的人口结构。由于数学框架的复杂性,对模型行为的分析依赖于数值方法,并进行了敏感性分析以评估不同假设和不同参数赋值的重要性。将艾滋病毒在两性和不同年龄组中的模拟传播模式与乌干达的观察模式进行了比较。该研究的主要结论是,年龄和性活动类别之间的混合模式,以及为平衡两性之间供需所做的假设,对艾滋病毒传播的预测模式和艾滋病的人口统计学影响有非常重大的影响。本文最后讨论了模型开发和数据获取方面的未来需求。