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Grinfeld, Michael

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  • Modelling silicosis: the structure of equilibria
    Publication . Costa, Fernando Pestana da; Grinfeld, Michael; Drmota, Michael
    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.