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

Authors: Bachraoui, Moussa and Hattaf, Khalid and Yousfi, Noura

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.


Source : oai:HAL:hal-01721304v2
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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