Moussa Bachraoui ; Khalid Hattaf ; Noura Yousfi - Global stability of a fractional order HIV infection model with cure of infected cells in eclipse stage

arima:4359 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 8 juin 2019, Volume 30 - 2019 - MADEV santé et énergie (2017) - https://doi.org/10.46298/arima.4359
Global stability of a fractional order HIV infection model with cure of infected cells in eclipse stageArticle

Auteurs : Moussa Bachraoui ; Khalid Hattaf ; Noura Yousfi

    Modeling by fractional order differential equations has more advantages to describe the dynamics of phenomena with memory which exists in many biological systems. In this paper, we propose a fractional order model for human immunodeficiency virus (HIV) infection by including a class of infected cells that are not yet producing virus, i.e., cells in the eclipse stage. We first prove the positivity and bound-edness of solutions in order to ensure the well-posedness of the proposed model. By constructing appropriate Lyapunov functionals, the global stability of the disease-free equilibrium and the chronic infection equilibrium is established. Numerical simulations are presented in order to validate our theoretical results.


    Volume : Volume 30 - 2019 - MADEV santé et énergie (2017)
    Publié le : 8 juin 2019
    Accepté le : 16 janvier 2019
    Soumis le : 10 mars 2018
    Mots-clés : eclipse stage,global stability,nonlinear incidence rate,HIV infection,[MATH]Mathematics [math],[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]

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