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Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia
Published online by Cambridge University Press: 25 January 2012
Abstract
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.
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- Research Article
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- Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 1: Cancer modeling , 2012 , pp. 235 - 244
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- © EDP Sciences, 2012
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