Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia

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 onl...

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Veröffentlicht in:Mathematical modelling of natural phenomena 2012, Vol.7 (1), p.235-244
1. Verfasser: Halanay, A.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0973-5348
1760-6101
DOI:10.1051/mmnp/20127110