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A Grossman-Type Three-Discrete-Delay Consolidated Polynomial Model of HIV-1 Infection Dynamics: Mathematical Analysis and Comparison with Patients Data

Boubaker K

In this paper, an HIV-1 infection dynamics model with three discrete delays is presented. This model takes into account delays contacted by the virus particles to achieve contamination. Using the Boubaker Polynomials Expansion Scheme BPES, it is proved that the consideration of these delays can have a positive effect on the asymptotically stable equilibrium. The main aim of the study is to identify model mechanisms that allow one to explain the trends observed in experimental clinical records, and hence to propose decision-making assistance for eventual drug therapeutic procedure and cure. The performed three-delay model provides better fits to patient data than zero-delay models.