Modelling silicosis: the structure of equilibria. (English) Zbl 1509.34046
Summary: 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.
MSC:
| 34C60 | Qualitative investigation and simulation of ordinary differential equation models |
| 34A33 | Ordinary lattice differential equations |
| 34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |
| 34D05 | Asymptotic properties of solutions to ordinary differential equations |
| 92C50 | Medical applications (general) |
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