Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy

Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy

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...

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Main Authors: Yafia R., Aziz-Alaoui M. A., Tridane A., Rihan F.
Format: Article
Language:English
Published: EDP Sciences 2014-01-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20141610007
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spelling doaj-05e5617455dc4bedb4aeea881f54122a2021-02-02T01:56:28ZengEDP SciencesMATEC Web of Conferences2261-236X2014-01-01161000710.1051/matecconf/20141610007matecconf_csndd2014_10007Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapyYafia R.0Aziz-Alaoui M. A.1Tridane A.2Rihan F.3Ibnou Zohr University, Polydisciplinary Faculty of OuarzazateLaboratoire de Mathématiques AppliquéesDepartment of Mathematical Sciences College of Science, UAE UniversityDepartment of Mathematical Sciences College of Science, UAE University 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. http://dx.doi.org/10.1051/matecconf/20141610007
collection DOAJ
language English
format Article
sources DOAJ
author Yafia R.
Aziz-Alaoui M. A.
Tridane A.
Rihan F.
spellingShingle Yafia R.
Aziz-Alaoui M. A.
Tridane A.
Rihan F.
Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy
MATEC Web of Conferences
author_facet Yafia R.
Aziz-Alaoui M. A.
Tridane A.
Rihan F.
author_sort Yafia R.
title Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy
title_short Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy
title_full Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy
title_fullStr Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy
title_full_unstemmed Qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy
title_sort qualitative properties and hopf bifurcation in haematopoietic disease model with chemotherapy
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1051/matecconf/20141610007
work_keys_str_mv AT yafiar qualitativepropertiesandhopfbifurcationinhaematopoieticdiseasemodelwithchemotherapy
AT azizalaouima qualitativepropertiesandhopfbifurcationinhaematopoieticdiseasemodelwithchemotherapy
AT tridanea qualitativepropertiesandhopfbifurcationinhaematopoieticdiseasemodelwithchemotherapy
AT rihanf qualitativepropertiesandhopfbifurcationinhaematopoieticdiseasemodelwithchemotherapy
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