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Periodic Solutions in a Mathematical Model for the Treatment ofChronic Myelogenous Leukemia

Published online by Cambridge University Press:  25 January 2012

A. Halanay
A. Halanay*
Affiliation:
Department of Mathematics I, Politehnica University of Bucharest, 060042 Bucharest, Romania
*
⋆E-mail: halanay@mathem.pub.ro
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Abstract

Existence and stability of periodic solutions are studied for a system of delaydifferential equations with two delays, with periodic coefficients. It models theevolution of hematopoietic stem cells and mature neutrophil cells in chronic myelogenousleukemia under a periodic treatment that acts only on mature cells. Existence of a guidingfunction leads to the proof of the existence of a strictly positive periodic solution by atheorem of Krasnoselskii. The stability of this solution is analysed.

Keywords

periodic solutionguiding functionindex of an isolated solutionstabilitychronic myelogenous leukemia
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 1: Cancer modeling , 2012 , pp. 235 - 244
Copyright
© EDP Sciences, 2012

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