This paper deals with the global dynamics of a tuberculosis (TB) model with age-structure and delay. We perform some rigorous analyses for the model, including presenting an explicit formula for the basic reproduction number of the model, addressing the persistence of the solution semi-flow and the existence of the global attractor. Based on these analyses, we establish some results on stability and instability of equilibrium of the system. Finally, some numerical examples are provided to illustrate our obtained results.

中文翻译：

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具有年龄结构和延迟的结核病传播模型的全局动态

本文处理具有年龄结构和延迟的结核病 (TB) 模型的全局动态。我们对模型进行了一些严格的分析，包括给出模型基本再生数的明确公式，解决解半流的持久性和全局吸引子的存在。基于这些分析，我们建立了一些关于系统平衡稳定性和不稳定性的结果。最后，提供了一些数值例子来说明我们获得的结果。