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

Mathematical Modelling of Natural Phenomena (2012)

- Volume: 7, Issue: 1, page 235-244
- ISSN: 0973-5348

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topHalanay, A.. "Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia." Mathematical Modelling of Natural Phenomena 7.1 (2012): 235-244. <http://eudml.org/doc/222325>.

@article{Halanay2012,

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.},

author = {Halanay, A.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {periodic solution; guiding function; index of an isolated solution; stability; chronic myelogenous leukemia},

language = {eng},

month = {1},

number = {1},

pages = {235-244},

publisher = {EDP Sciences},

title = {Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia},

url = {http://eudml.org/doc/222325},

volume = {7},

year = {2012},

}

TY - JOUR

AU - Halanay, A.

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

JO - Mathematical Modelling of Natural Phenomena

DA - 2012/1//

PB - EDP Sciences

VL - 7

IS - 1

SP - 235

EP - 244

AB - 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.

LA - eng

KW - periodic solution; guiding function; index of an isolated solution; stability; chronic myelogenous leukemia

UR - http://eudml.org/doc/222325

ER -

## References

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