Modelling silicosis: the structure of equilibria

Costa, Fernando Pestana da; Grinfeld, Michael; Drmota, Michael

http://hdl.handle.net/10400.2/9137

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Authors

Costa, Fernando Pestana da

Grinfeld, Michael

Drmota, Michael

Abstract(s)

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.

Keywords

Asymptotic theory General theory in ordinary differential equations Physiological, cellular and medical topics Mellin transform Silicosis Coagulation-fragmentation-death equations

URI

http://hdl.handle.net/10400.2/9137

Citation

DA COSTA, F., DRMOTA, M., & GRINFELD, M. (2020). Modelling silicosis: The structure of equilibria. European Journal of Applied Mathematics, 31, (6), 950-967. doi:10.1017/S0956792519000329