STABILITY AND HOPE BIFURCATION FOR A CELL POPULATION MODEL WITH STATE-DEPENDENT DELAY

We propose a mathematical model describing the dynamics of a hematopoietic stem cell population. The method of characteristics reduces the age-structured model to a system of differential equations with a state-dependent delay. A detailed stability analysis is performed. A sufficient condition for t...

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Veröffentlicht in:	SIAM journal on applied mathematics 2009-01, Vol.70 (5), p.1611-1633
Hauptverfasser:	ADIMY, MOSTAFA, CRAUSTE, FABIEN, HBID, MY LHASSAN, QESMI, REDOUANE
Format:	Artikel
Sprache:	eng
Schlagworte:	Cell cycle Differential equations Eigenvalues Hematopoietic stem cells Mathematical independent variables Mathematical models Method of characteristics Population dynamics Stem cells
Online-Zugang:	Volltext
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