Leslie W D, Brunham R C
Department of Internal Medicine, University of Manitoba, Winnipeg, Canada.
Comput Biomed Res. 1990 Aug;23(4):380-401. doi: 10.1016/0010-4809(90)90028-b.
Mathematical modeling of the AIDS pandemic has been limited by the difficulty of satisfactorily representing the marked behavioral heterogeneity that characterizes the various populations at risk. We propose an approach which models the spread of infection as a discrete-event simulation using SIMSCRIPT, a powerful simulation language. The program developed provides sufficient flexibility to adequately represent and study a wide range of risk-group dynamics. Using this tool we have verified the May-Anderson prediction relating contact rate heterogeneity to the rate of HIV spread. We have also been able to assess the sensitivity of the model to the particular choice of distribution for contact rates, disease stage durations, and intercontact intervals. It is thought that this approach will permit the empirical testing of hypotheses which do not lend themselves to a purely mathematical treatment.
艾滋病大流行的数学模型受到限制,因为难以令人满意地呈现出不同风险人群所具有的显著行为异质性。我们提出一种方法,该方法使用强大的模拟语言SIMSCRIPT,将感染传播建模为离散事件模拟。所开发的程序具有足够的灵活性,能够充分呈现和研究广泛的风险群体动态。使用此工具,我们验证了梅 - 安德森关于接触率异质性与艾滋病毒传播率之间关系的预测。我们还能够评估模型对接触率、疾病阶段持续时间和接触间隔分布的特定选择的敏感性。人们认为,这种方法将允许对那些不适用于纯数学处理的假设进行实证检验。