학술논문
Modelling silicosis: existence, uniqueness and basic properties of solutions
Document Type
Working Paper
Source
Subject
Language
Abstract
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.
Comment: 29 pages, 1 figure
Comment: 29 pages, 1 figure