The dynamics of HIV infection model with logistic growth and infected cells in eclipse phase

The dynamics of HIV infection model with logistic growth and infected cells in eclipse phase

In this paper, we study a mathematical model of human immunodeficiency virus dynamics with logistic growth and infected cells in eclipse phase. This model describes the interactions between uninfected CD4+ T cells, infected CD4+ T cells in latent stage, productively infected CD4+ T cells and free vi...

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Bibliographic Details
Main Authors: Harroudi Sanaa, Allali Karam
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Subjects:
HIV infection
Logistic growth
Stability
Viral dynamics
Online Access:https://doi.org/10.1051/matecconf/201824101012
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spelling doaj-c166b0a365434f6f8d9b98958ce55def2021-02-02T03:19:19ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012410101210.1051/matecconf/201824101012matecconf_csndd2018_01012The dynamics of HIV infection model with logistic growth and infected cells in eclipse phaseHarroudi SanaaAllali KaramIn this paper, we study a mathematical model of human immunodeficiency virus dynamics with logistic growth and infected cells in eclipse phase. This model describes the interactions between uninfected CD4+ T cells, infected CD4+ T cells in latent stage, productively infected CD4+ T cells and free virus. The positivity and boundedness of solutions for non negative initial data are proved. The stability of disease-free equilibrium and endemic equilibrium are rigorously established. Numerical simulations are also provided to give a more complete representation of the system dynamics.https://doi.org/10.1051/matecconf/201824101012HIV infectionLogistic growthStabilityViral dynamics
collection DOAJ
language English
format Article
sources DOAJ
author Harroudi Sanaa
Allali Karam
spellingShingle Harroudi Sanaa
Allali Karam
The dynamics of HIV infection model with logistic growth and infected cells in eclipse phase
MATEC Web of Conferences
HIV infection
Logistic growth
Stability
Viral dynamics
author_facet Harroudi Sanaa
Allali Karam
author_sort Harroudi Sanaa
title The dynamics of HIV infection model with logistic growth and infected cells in eclipse phase
title_short The dynamics of HIV infection model with logistic growth and infected cells in eclipse phase
title_full The dynamics of HIV infection model with logistic growth and infected cells in eclipse phase
title_fullStr The dynamics of HIV infection model with logistic growth and infected cells in eclipse phase
title_full_unstemmed The dynamics of HIV infection model with logistic growth and infected cells in eclipse phase
title_sort dynamics of hiv infection model with logistic growth and infected cells in eclipse phase
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2018-01-01
description In this paper, we study a mathematical model of human immunodeficiency virus dynamics with logistic growth and infected cells in eclipse phase. This model describes the interactions between uninfected CD4+ T cells, infected CD4+ T cells in latent stage, productively infected CD4+ T cells and free virus. The positivity and boundedness of solutions for non negative initial data are proved. The stability of disease-free equilibrium and endemic equilibrium are rigorously established. Numerical simulations are also provided to give a more complete representation of the system dynamics.
topic HIV infection
Logistic growth
Stability
Viral dynamics
url https://doi.org/10.1051/matecconf/201824101012
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