Mathematical Study and Periodic Dynamics in a Hematopoietic Stem Cells Disease Model with Chemotherapy

Authors

  • Radouane Yafia* Ibn Zohr University
  • My Ahmed Aziz Alaoui Le Havre University

DOI:

https://doi.org/10.11145/218

Abstract

In this paper, we consider a modelВ  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 cases with/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.

Author Biography

My Ahmed Aziz Alaoui, Le Havre University

Mathematics

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Published

2014-02-27

Issue

Vol. 1 No. 1 (2014)

Section

Conference Contributions

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