Modelling silicosis: structure of equilibria

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

Research output: Contribution to journal › Article

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
LanguageEnglish
Number of pages19
JournalEuropean Journal of Applied Mathematics
Publication statusAccepted/In press - 10 Oct 2019

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Coagulation
Exact multiplicity
Precise Asymptotics
Multiplicity Results
Infinite series
Exact Results
Fragmentation
Modeling
Nonexistence
Power Law
Coefficient
Model

Keywords

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

Cite this

da Costa, F.P. ; Drmota, M. ; Grinfeld, M. / Modelling silicosis : structure of equilibria. In: European Journal of Applied Mathematics. 2019.
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da Costa, FP, Drmota, M & Grinfeld, M 2019, 'Modelling silicosis: structure of equilibria' European Journal of Applied Mathematics.

Modelling silicosis : structure of equilibria. / da Costa, F.P.; Drmota, M.; Grinfeld, M.

In: European Journal of Applied Mathematics, 10.10.2019.

Research output: Contribution to journal › Article

TY - JOUR

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T2 - European Journal of Applied Mathematics

AU - da Costa, F.P.

AU - Drmota, M.

AU - Grinfeld, M.

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N2 - 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

AB - 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

KW - coagulation

KW - mellin transform

KW - asymptotics

KW - silicosis

KW - death equations

UR - https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics

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JF - European Journal of Applied Mathematics

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da Costa FP, Drmota M, Grinfeld M. Modelling silicosis: structure of equilibria. European Journal of Applied Mathematics. 2019 Oct 10.

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