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 la Recherche en Informatique et Mathématiques Appliquées, June 8, 2019, Volume 30 - 2019 - MADEV health and energy (2017) - https://doi.org/10.46298/arima.4359
Global stability of a fractional order HIV infection model with cure of infected cells in eclipse stage

Authors: 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 health and energy (2017)
Published on: June 8, 2019
Submitted on: March 10, 2018
Keywords: 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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