Modelling silicosis: existence, uniqueness and basic properties of solutions

Costa, Fernando Pestana da; Pinto, João Teixeira; Sasportes, Rafael

http://hdl.handle.net/10400.2/10528

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Authors

Costa, Fernando Pestana da

Pinto, João Teixeira

Sasportes, Rafael

Abstract(s)

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.

Keywords

Coagulation-fragmentation-death equations Model of silicosis Well-posedness

URI

http://hdl.handle.net/10400.2/10528

Citation

Fernando P. da Costa, João T. Pinto, Rafael Sasportes, Modelling silicosis: Existence, uniqueness and basic properties of solutions, Nonlinear Analysis: Real World Applications, Volume 60, 2021, 103299, https://doi.org/10.1016/j.nonrwa.2021.103299.