We present a model for the silicosis disease mechanism following the original proposal by Tran et al. (1995), as modified recently by da Costa et al. (2020). The model consists in an infinite ordinary differential equation system of coagulation–fragmentation–death type. Results of existence, uniqueness, continuous dependence on the initial data and differentiability of solutions are proved for the initial value problem.

中文翻译：

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矽肺病建模：解决方案的存在性，唯一性和基本属性

根据Tran等人的原始建议，我们提出了矽肺疾病机制的模型。（1995年），最近由da Costa等人修改。（2020）。该模型包含一个无限大的常微分方程组，即凝结-碎片-死亡类型。对于初值问题，证明了存在性，唯一性，对初始数据的连续依赖性以及解的可微性的结果。