Moussa Bachraoui ; Khalid Hattaf ; Noura Yousfi
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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,
June 8, 2019,
Volume 30 - 2019 - MADEV health and energy (2017)
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https://doi.org/10.46298/arima.4359
Global stability of a fractional order HIV infection model with cure of infected cells in eclipse stage
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.
Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate
2 Documents citing this article
Source : OpenCitations
Cheneke, Kumama Regassa; Rao, Koya Purnachandra, 0000-0002-5031-971; Edessa, Geremew Kenassa, 2022, A New Generalized Fractional-Order Derivative And Bifurcation Analysis Of Cholera And Human Immunodeficiency Co-Infection Dynamic Transmission, International Journal Of Mathematics And Mathematical Sciences, 2022, pp. 1-15, 10.1155/2022/7965145.
Elaiw, A.M, 0000-0001-5030-633; Al Agha, A. D.; Azoz, S. A.; Ramadan, E., 2022, Global Analysis Of Within-Host SARS-CoV-2/HIV Coinfection Model With Latency, The European Physical Journal Plus, 137, 2, 10.1140/epjp/s13360-022-02387-2.