Geodesic
Stability Analysis of a Feedback Model for the Action of the Immune System in Leukemia
S. Balea1 ; A. Halanay1 ; D. Jardan1 ; M. Neamţu1, 2 ; C. A. Safta1
1 “POLITEHNICA” University of Bucharest Department of Mathematics and Informatics Splaiul Independentei 313 RO-060042 Bucharest, Romania
2 West University of Timisoara, Department of Economics and Modelling 300115 Pestalozzi Str. 16, Timisoara, Romania
Mathematical modelling of natural phenomena, Tome 9 (2014) no. 1, pp. 108-132.

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A mathematical model, coupling the dynamics of short-term stem-like cells and mature leukocytes in leukemia with that of the immune system, is investigated. The model is described by a system of seven delay differential equations with seven delays. Three equilibrium points E0, E1, E2 are highlighted. The stability and the existence of the Hopf bifurcation for the equilibrium points are investigated. In the analysis of the model, the rate of asymmetric division and the rate of symmetric division are very important.
DOI : 10.1051/mmnp/20149108

S. Balea 1 ; A. Halanay 1 ; D. Jardan 1 ; M. Neamţu 1, 2 ; C. A. Safta 1

1 “POLITEHNICA” University of Bucharest Department of Mathematics and Informatics Splaiul Independentei 313 RO-060042 Bucharest, Romania
2 West University of Timisoara, Department of Economics and Modelling 300115 Pestalozzi Str. 16, Timisoara, Romania 
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S. Balea; A. Halanay; D. Jardan; M. Neamţu; C. A. Safta. Stability Analysis of a Feedback Model for the Action of the Immune System in Leukemia. Mathematical modelling of natural phenomena, Tome 9 (2014) no. 1, pp. 108-132. doi : 10.1051/mmnp/20149108. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149108/

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