Periodic Trajectories for HIV Dynamics in a Seasonal Environment With a General Incidence Rate

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DOI: https://doi.org/10.28924/2291-8639-21-2023-96
Published: Aug 29, 2023
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Miled El Hajji, Rahmah Mohammed Alnjrani, Periodic Trajectories for HIV Dynamics in a Seasonal Environment With a General Incidence Rate, Int. J. Anal. Appl., 21 (2023), 96.

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Miled El Hajji, Rahmah Mohammed Alnjrani

Abstract

In this paper, we propose a five-dimensional nonlinear system of differential equations for the human immunodeficiency virus (HIV) including the B-cell functions with a general nonlinear incidence rate. The compartment of infected cells was subdivided into three classes representing the latently infected cells, the short-lived productively infected cells, and the long-lived productively infected cells. The basic reproduction number was established, and the local and global stability of the equilibria of the model were studied. A sensitivity analysis with respect to the model parameters was undertaken. Finally, some numerical simulations are presented to illustrate the theoretical findings.

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