Modelling silicosis : structure of equilibria

da Costa, F.P. and Drmota, M. and Grinfeld, M. (2020) Modelling silicosis : structure of equilibria. European Journal of Applied Mathematics, 31 (6). pp. 950-967. ISSN 0956-7925 (https://doi.org/10.1017/S0956792519000329)

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Abstract

We analyse the structure of equilibria of a coagulation–fragmentation–death model ofsilicosis. We present exact multiplicity results in the particular case of piecewise-constantcoefficients, results on existence and non-existence of equilibria in the general case, as wellas precise asymptotics for the infinite series that arise in the case of power law coefficients

ORCID iDs

da Costa, F.P., Drmota, M. and Grinfeld, M. ORCID logoORCID: https://orcid.org/0000-0002-3897-8819;