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Article Dans Une Revue Comptes Rendus. Mathématique Année : 2010

Boundedness and Lyapunov Function for a Nonlinear System of Hematopoietic Stem Cell Dynamics

Résumé

We investigate a system of nonlinear differential equations with distributed delays, arising from a model of hematopoietic stem cell dynamics. We state uniqueness of a global solution under a classical Lipschitz condition. Sufficient conditions for the global stability of the population are obtained, through the analysis of the asymptotic behavior of the trivial steady state and using a Lyapunov function. Finally, we give sufficient conditions for the unbounded proliferation of a given cell generation.

Dates et versions

hal-00542477 , version 1 (02-12-2010)

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Citer

Mostafa Adimy, Fabien Crauste, Abderrahim El Abdllaoui. Boundedness and Lyapunov Function for a Nonlinear System of Hematopoietic Stem Cell Dynamics. Comptes Rendus. Mathématique, 2010, 348 (7-8), pp.373-377. ⟨10.1016/j.crma.2010.02.018⟩. ⟨hal-00542477⟩
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