艾滋病毒感染后疾病进展和治疗的数学模型及其动力学性态(英文)

Mathematical Modeling and Dynamics of HIV Progression and Treatment

本文是对个体被艾滋病毒感染后的数学模型及动力学性态研究情况的简单综述。介绍了CD4^+ T细胞、病毒颗粒和药物治疗相互作用的艾滋病数学模型的研究结果,主要是用常微分方程、时滞方程、积分微分方程和脉冲微分方程来描述艾滋病感染后疾病进展和治疗的模型理论研究和数值模拟结果。我们收集了这些模型中基本参数值的取值范围,将其整理成一个表格放在附录中以便读者参考。

This article presents a brief review on the modeling and dynamics of HIV infection in vivo. We introduce typical mathematical models on the interaction between CD4~＋ T-cells and virus particles, as well as the drug therapy. We focus on theoretical results and simulations of ODEs, DDEs, integro-differential equations and impulsive differential equations. Parameter values of those models are collected in a table for reader’s reference.