Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 13, Issue 3


Published
on

September 27, 2022


Pages

537-547


DOI

Article

A Dynamic Model of Chronic Myeloid Leukemia With Delay


Authors

Isma Younes Affiliation:
Biomathematics Laboratory, Univ. Sidi Bel-Abbes, P.B. 89, 22000, Algeria
, Mohamed Helal Affiliation:
Biomathematics Laboratory, Univ Sidi-Bel-Abbés, Sidi-Bel-Abbès, Algeria
and Abdelkader Lakmeche Affiliation:
Biomathematics Laboratory, Univ. Sidi Bel-Abbes, P.B. 89, 22000, Algeria


Abstract

In this work, we investigate a time -delayed model describing the dynamics of the hematopoietic stem cell population with treatment. First we establish the existence of the steady states, trivial solution describing the extinction of the population and he nontrivial solution describing the persistence of the disease. Next, we analyze the asymptotic behavior of the model, and study the local asymptotic stability of steady states according to the delays values.


Keywords

Cell model, delay differential equation, leukemia, stability, steady states, existence of solutions


Citation

Younes, I., Helal, M., & Lakmeche, A. (2022). A dynamic model of chronic myeloid leukemia with delay. Turkish Journal of Computer and Mathematics Education, 13(3), 537–547.

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