Modelling silicosis: existence, uniqueness and basic properties of solutions
Classical Analysis and ODEs
2021-01-29 v2
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.
Cite
@article{arxiv.2005.10042,
title = {Modelling silicosis: existence, uniqueness and basic properties of solutions},
author = {Fernando P. da Costa and João T. Pinto and Rafael Sasportes},
journal= {arXiv preprint arXiv:2005.10042},
year = {2021}
}
Comments
29 pages, 1 figure