Modelling silicosis : structure of equilibria

da Costa, F.P. and Drmota, M. and Grinfeld, M. (2019) Modelling silicosis : structure of equilibria. European Journal of Applied Mathematics. ISSN 0956-7925 (In Press)

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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