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Asymptotic Behavior of a Discrete Maturity Structured System of Hematopoietic Stem Cell Dynamics with Several Delays

M. Adimy, F. Crauste, A. El Abdllaoui (2010)

Mathematical Modelling of Natural Phenomena

We propose and analyze a mathematical model of hematopoietic stem cell dynamics. This model takes into account a finite number of stages in blood production, characterized by cell maturity levels, which enhance the difference, in the hematopoiesis process, between dividing cells that differentiate (by going to the next stage) and dividing cells that keep the same maturity level (by staying in the same stage). It is described by a system of n nonlinear differential equations with n delays. We study...

Asymptotic properties of solutions of functional differential systems

Anatolij F. Ivanov, Pavol Marušiak (1992)

Mathematica Bohemica

In the paper we study the existence of nonoscillatory solutions of the system x i ( n ) ( t ) = j = 1 2 p i j ( t ) f i j ( x j ( h i j ( t ) ) ) , n 2 , i = 1 , 2 , with the property l i m t x i ( t ) / t k i = c o n s t 0 for some k i { 1 , 2 , ... , n - 1 } , i = 1 , 2 . Sufficient conditions for the oscillation of solutions of the system are also proved.

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