论文标题
建模硅氧症：解决方案的存在，独特性和基本特性
Modelling silicosis: existence, uniqueness and basic properties of solutions
论文作者
论文摘要
我们提出了一个模型，该模型按照Tran，Jones和Donaldson（1995）[9]的原始建议，如Da Costa，Drmota和Grinfeld（2020）[4]进行了修改。该模型由无限的普通微分方程组成，这些方程式是凝血碎裂的死亡类型。对于初始值问题证明了存在，独特性，持续依赖解决方案的持续依赖性的结果。
We present a model for the silicosis disease mechanism following the original proposal by Tran, Jones, and Donaldson (1995) [9], as modified recently by da Costa, Drmota, and Grinfeld (2020) [4]. 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.
