Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy

R. Yafia, M. A. Aziz-Alaoui, A. Tridane, F. Rihan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationMATEC Web of Conferences
EditorsMohamed Belhaq
PublisherEDP Sciences
ISBN (Electronic)9782759816590
DOIs
Publication statusPublished - Sept 1 2014
Event2nd International Conference on Structural Nonlinear Dynamics and Diagnosis, CSNDD 2014 - Agadir, Morocco
Duration: May 19 2014May 21 2014

Publication series

NameMATEC Web of Conferences
Volume16
ISSN (Electronic)2261-236X

Other

Other2nd International Conference on Structural Nonlinear Dynamics and Diagnosis, CSNDD 2014
Country/TerritoryMorocco
CityAgadir
Period5/19/145/21/14

ASJC Scopus subject areas

  • General Chemistry
  • General Materials Science
  • General Engineering

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