| Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 1, 2012
Cancer modeling
|
|
|---|---|---|
| Page(s) | 235 - 244 | |
| DOI | https://doi.org/10.1051/mmnp/20127110 | |
| Published online | 25 January 2012 | |
Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia
Department of Mathematics I, Politehnica University of
Bucharest, 060042
Bucharest,
Romania
⋆
E-mail: halanay@mathem.pub.ro
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.
Mathematics Subject Classification: 34C25 / 34A26 / 34K20 / 92D25
Key words: periodic solution / guiding function / index of an isolated solution / stability / chronic myelogenous leukemia
© EDP Sciences, 2012
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