In this paper, we formulate an age-structured HIV model, in which the influence of humoral immunity and the infection age of the infected cells are considered. The model is governed by three ordinary differential equations and two first-ordered partial differential equations and admits three equilibria: disease-free, immune-inactivated and immune-activated equilibria. We introduce two important thresholds: the basic reproduction number R0 and immune-activated reproduction number R1 and further show the global stability of above three equilibria in terms of R0 and R1, respectively. The numerical simulations are presented to illustrate our results.

中文翻译：

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具有体液免疫的年龄结构 HIV 模型的全球动态

在本文中，我们制定了一个年龄结构的 HIV 模型，其中考虑了体液免疫的影响和感染细胞的感染年龄。该模型由三个常微分方程和两个一阶偏微分方程控制，并承认三个平衡：无病、免疫失活和免疫激活平衡。我们引入了两个重要的阈值：基本再生数R0和免疫激活的繁殖数R1并进一步说明上述三个均衡点的全局稳定性R0和R1， 分别。数值模拟用于说明我们的结果。