Geodesic
Mathematical analysis and global dynamics for a time-delayed Chronic Myeloid Leukemia model with treatment
Nawal Kherbouche1 ; Mohamed Helal1 ; Abdennasser Chekroun2 ; Abdelkader Lakmeche1
1 Biomathematics Laboratory, Univ. Sidi Bel-Abbes, P.B. 89, 22000, Algeria.
2 Laboratoire d’Analyse Nonlinéaire et Mathématiques Appliquées, Univ. Tlemcen, Algeria.
Mathematical modelling of natural phenomena, Tome 15 (2020), article no. 68.

Voir la notice de l'article provenant de la source EDP Sciences

In this paper, we investigate a time-delayed model describing the dynamics of the hematopoietic stem cell population with treatment. First, we give some property results of the solutions. Second, we analyze the asymptotic behavior of the model, and study the local asymptotic stability of each equilibrium: trivial and positive ones. Next, a necessary and sufficient condition is given for the trivial steady state to be globally asymptotically stable. Moreover, the uniform persistence is obtained in the case of instability. Finally, we prove that this system can exhibits a periodic solutions around the positive equilibrium through a Hopf bifurcation.
DOI : 10.1051/mmnp/2020038

Nawal Kherbouche 1 ; Mohamed Helal 1 ; Abdennasser Chekroun 2 ; Abdelkader Lakmeche 1

1 Biomathematics Laboratory, Univ. Sidi Bel-Abbes, P.B. 89, 22000, Algeria.
2 Laboratoire d’Analyse Nonlinéaire et Mathématiques Appliquées, Univ. Tlemcen, Algeria. 
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Nawal Kherbouche; Mohamed Helal; Abdennasser Chekroun; Abdelkader Lakmeche. Mathematical analysis and global dynamics for a time-delayed Chronic Myeloid Leukemia model with treatment. Mathematical modelling of natural phenomena, Tome 15 (2020), article  no. 68. doi : 10.1051/mmnp/2020038. https://geodesic-test.mathdoc.fr/articles/10.1051/mmnp/2020038/

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