Analysis of a fractional order HIV-1 infection model with saturated immune response

Document Type : Novel Research Articles

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1 faculty of science, dep of mathematics and computer science

2 Faculty of Science, dep os mathematics and computer science

Abstract

Human immunodeficiency virus type 1 (HIV-1) infection is studied in this paper using a fractional order mathematical model. The model is made up of a set of four nonlinear differential equations that account for two forms of infection transmission (cell-to-cell and virus-to-cell) as well as a saturated immune response.The positivity and boundedness of the fractional order model solutions are studied. The values of equilibrium points and two fundamental threshold parameters
have been computed. In addition, we proved global asymptotic stability for the model equilibrium points given. To corroborate the analytical conclusions and investigate the model’s dynamical behavior, numerical simulations were used. The aim of this paper is to study the dynamical behavior of a fractional order model of Human immunodefiency virus (HIV) from type 1. The proposed model consists of a system of fractional order differential equations with the consideration of two types of transmissions (cell-to-cell and virus-to-cell) with
saturated immune response

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