Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy

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

doi:10.1051/matecconf/20141610007

Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy

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

Department of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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 language	English
Title of host publication	MATEC Web of Conferences
Editors	Mohamed Belhaq
Publisher	EDP Sciences
ISBN (Electronic)	9782759816590
DOIs	https://doi.org/10.1051/matecconf/20141610007
Publication status	Published - Sept 1 2014
Event	2nd International Conference on Structural Nonlinear Dynamics and Diagnosis, CSNDD 2014 - Agadir, Morocco Duration: May 19 2014 → May 21 2014

Publication series

Name	MATEC Web of Conferences
Volume	16
ISSN (Electronic)	2261-236X

Other

Other	2nd International Conference on Structural Nonlinear Dynamics and Diagnosis, CSNDD 2014
Country/Territory	Morocco
City	Agadir
Period	5/19/14 → 5/21/14

ASJC Scopus subject areas

Chemistry(all)
Materials Science(all)
Engineering(all)

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10.1051/matecconf/20141610007

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Yafia, R, Aziz-Alaoui, MA, Tridane, A & Rihan, F 2014, Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy. in M Belhaq (ed.), MATEC Web of Conferences., 10007, MATEC Web of Conferences, vol. 16, EDP Sciences, 2nd International Conference on Structural Nonlinear Dynamics and Diagnosis, CSNDD 2014, Agadir, Morocco, 5/19/14. https://doi.org/10.1051/matecconf/20141610007

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N2 - 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.

AB - 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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ER -

Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy

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