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Modelling silicosis: the structure of equilibria

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Resumo(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.

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

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Citação

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

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