Geodesic
Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia
A. Halanay1
1 Department of Mathematics I, Politehnica University of Bucharest, 060042 Bucharest, Romania
Mathematical modelling of natural phenomena, Tome 7 (2012) no. 1, pp. 235-244

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Existence and stability of periodic solutions are studied for a system of delay differential equations with two delays, with periodic coefficients. It models the evolution of hematopoietic stem cells and mature neutrophil cells in chronic myelogenous leukemia under a periodic treatment that acts only on mature cells. Existence of a guiding function leads to the proof of the existence of a strictly positive periodic solution by a theorem of Krasnoselskii. The stability of this solution is analysed.
DOI : 10.1051/mmnp/20127110

A. Halanay 1

1 Department of Mathematics I, Politehnica University of Bucharest, 060042 Bucharest, Romania 
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A. Halanay. Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia. Mathematical modelling of natural phenomena, Tome 7 (2012) no. 1, pp. 235-244. doi: 10.1051/mmnp/20127110

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