SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1290-1306, January 2020.
A hierarchical mixed-effects model is proposed to account for both individual- and population-level variability in human immunodeficiency virus (HIV) dynamics. This model is implemented by formulating the crucial parameters as random variables in an in-host HIV model. Model reduction is used to guide the choice for a minimal set of parameters, whose distributions are estimated by the global two-stage method. We analyze the system of ordinary differential equations with random coefficients and provide numerical simulations illustrating its asymptotic behaviors.

中文翻译：

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HIV动态分层混合效应模型

SIAM应用数学杂志，第80卷，第3期，第1290-1306页，2020年1月。
提出了一种分层混合效应模型，以说明人类免疫缺陷病毒（HIV）动态中个体和群体水平的变异性。通过将关键参数公式化为宿主HIV模型中的随机变量来实现此模型。模型简化用于指导选择最小的参数集，这些参数的分布是通过全局两阶段方法估算的。我们分析具有随机系数的常微分方程组，并提供数值模拟说明其渐近行为。