Geodesic
Existence and Stability of Limit Cycles in a Two-delays Model of Hematopoiesis Including Asymmetric Division
A. Halanay1 ; D. Cândea1 ; I. R. Rădulescu1
1 “POLITEHNICA” University of Bucharest, Department of Mathematics and Informatics, Splaiul Independentei 313 RO-060042 Bucharest, Romania
Mathematical modelling of natural phenomena, Tome 9 (2014) no. 1, pp. 58-78.

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A two dimensional two-delays differential system modeling the dynamics of stem-like cells and white-blood cells in Chronic Myelogenous Leukemia is considered. All three types of stem cell division (asymmetric division, symmetric renewal and symmetric differentiation) are present in the model. Stability of equilibria is investigated and emergence of periodic solutions of limit cycle type, as a result of a Hopf bifurcation, is eventually shown. The stability of these limit cycles is studied using the first Lyapunov coefficient.
DOI : 10.1051/mmnp/20149105

A. Halanay 1 ; D. Cândea 1 ; I. R. Rădulescu 1

1 “POLITEHNICA” University of Bucharest, Department of Mathematics and Informatics, Splaiul Independentei 313 RO-060042 Bucharest, Romania 
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A. Halanay; D. Cândea; I. R. Rădulescu. Existence and Stability of Limit Cycles in a Two-delays Model of Hematopoiesis Including Asymmetric Division. Mathematical modelling of natural phenomena, Tome 9 (2014) no. 1, pp. 58-78. doi : 10.1051/mmnp/20149105. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149105/

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