Global and local stability for a non-linear hyperbolic system model for the role of stem cells in physiological homeostasis

DOI10.1007/s40314-014-0213-0zbMath1362.35178arXiv1408.5070OpenAlexW2032048303MaRDI QIDQ520252

Laura Di Bernardo, Donatella Donatelli

Publication date: 3 April 2017

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5070

zbMATH Keywords

age-dependentGompertzian growth

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Medical applications (general) (92C50) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

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• Some considerations on the mathematical approach to nonlinear age dependent population dynamics
• On the global stability of the logistic age-dependent population growth
• A new criterion for the global stability of simultaneous cell replication and maturation processes
• Global stability in a delayed partial differential equation describing cellular replication
• Global stability of a partial differential equation with distributed delay due to cellular replication
• Non-linear age-dependent population dynamics
• Asymptotic behavior of a singular transport equation modelling cell division
• Optimal Harvesting for Periodic Age-Dependent Population Dynamics

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