We analyse the structure of equilibria of a coagulation–fragmentation–death model of silicosis. We present exact multiplicity results in the particular case of piecewise constant coefficients, results on existence and non-existence of equilibria in the general case, as well as precise asymptotics for the infinite series that arise in the case of power law coefficients.

中文翻译：

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模拟矽肺：平衡结构

我们分析了矽肺凝固-破碎-死亡模型的平衡结构。我们给出了在分段常数系数的特定情况下的精确多重性结果，在一般情况下平衡存在和不存在的结果，以及在幂律系数情况下出现的无限级数的精确渐近。