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.
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.
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