Modelling silicosis: dynamics of a model with piecewise constant rate coefficients

DOI10.1007/S10884-022-10213-7zbMATH Open1546.34105MaRDI QIDQ6567194

J. T. Pinto, F. P. Da Costa, Pedro R. S. Antunes, R. Sasportes

Publication date: 4 July 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

local stability of equilibriacoagulation-fragmentation-death equationsmodel of silicosis

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability of solutions to ordinary differential equations (34D20) Physiology (general) (92C30) Ordinary differential equations of infinite order (34A35) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Title not available (Why is that?)
• The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
• Modelling silicosis: existence, uniqueness and basic properties of solutions
• Dynamics of a non-autonomous ODE system occurring in coagulation theory
• Modelling silicosis: The structure of equilibria

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