Boundedness and Lyapunov function for a nonlinear system of hematopoietic stem cell dynamics
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Publication:964426
DOI10.1016/j.crma.2010.02.018zbMath1192.34098OpenAlexW2072758116MaRDI QIDQ964426
Fabien Crauste, Mostafa Adimy, Abderrahim El Abdllaoui
Publication date: 15 April 2010
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2010.02.018
Stability theory of functional-differential equations (34K20) Cell biology (92C37) Qualitative investigation and simulation of models involving functional-differential equations (34K60)
Related Items (6)
New generalized Halanay inequalities with applications to stability of nonlinear non-autonomous time-delay systems ⋮ Local Asymptotic Stability Conditions for the Positive Equilibrium of a System Modeling Cell Dynamics in Leukemia ⋮ Stability analysis and robustness results for a nonlinear system with distributed delays describing hematopoiesis ⋮ Blood Cell Dynamics: Half of a Century of Modelling ⋮ Stability of the cell dynamics in acute myeloid leukemia ⋮ Analysis of a New Model of Cell Population Dynamics in Acute Myeloid Leukemia
Cites Work
- A new criterion for the global stability of simultaneous cell replication and maturation processes
- Introduction to functional differential equations
- Global stability of a partial differential equation with distributed delay due to cellular replication
- On the stability of a nonlinear maturity structured model of cellular proliferation
- DISCRETE-MATURITY STRUCTURED MODEL OF CELL DIFFERENTIATION WITH APPLICATIONS TO ACUTE MYELOGENOUS LEUKEMIA
- Bifurcation and Bistability in a Model of Hematopoietic Regulation
- A Mathematical Study of the Hematopoiesis Process with Applications to Chronic Myelogenous Leukemia
- Asymptotic Behavior of a Discrete Maturity Structured System of Hematopoietic Stem Cell Dynamics with Several Delays
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