| Issue |
MATEC Web of Conferences
Volume 16, 2014
CSNDD 2014 - International Conference on Structural Nonlinear Dynamics and Diagnosis
|
|
|---|---|---|
| Article Number | 10007 | |
| Number of page(s) | 4 | |
| Section | Special Session | |
| DOI | https://doi.org/10.1051/matecconf/20141610007 | |
| Published online | 01 September 2014 | |
Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy
1 Ibnou Zohr University, Polydisciplinary Faculty of Ouarzazate, B.P: 638, Ouarzazate, Morocco.
2 Laboratoire de Mathématiques Appliquées, 25 Rue Ph. Lebon, BP 540, 76058 Le Havre Cedex, France.
3 Department of Mathematical Sciences College of Science, UAE University P.O. Box 17551, Al-Ain United Arab Emirates.
4 Department of Mathematical Sciences College of Science, UAE University P.O. Box 17551, Al-Ain United Arab Emirates.
a e-mail: yafia1@yahoo.fr
b e-mail: aziz.alaoui@univ-lehavre.fr
c e-mail: a-tridane@uaeu.ac.ae
d e-mail: frihan@uaeu.ac.ae
In this paper, we consider a model describing the dynamics of Hematopoietic Stem Cells (HSC) disease with chemotherapy. The model is given by a system of three ordinary differential equations with discrete delay. Its dynamics are studied in term of local stability of the possible steady states for the case without drug intervention term. We prove the existence of periodic oscillations for each case when the delay passes trough a critical values. In the end, we illustrate our results by some numerical simulations.
© Owned by the authors, published by EDP Sciences, 2014
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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