Modelling silicosis: structure of equilibria

F.P. da Costa, M. Drmota, M. Grinfeld

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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
Original languageEnglish
Number of pages18
JournalEuropean Journal of Applied Mathematics
Early online date31 Oct 2019
Publication statusE-pub ahead of print - 31 Oct 2019


  • coagulation
  • mellin transform
  • asymptotics
  • silicosis
  • death equations

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