Analysis of a fractional order HIV-1 infection model with saturated immune response | ||||
| Assiut University Journal of Multidisciplinary Scientific Research | ||||
| Volume 52, Issue 1, January 2023, Page 23-47 PDF (815.45 K) | ||||
| Document Type: Novel Research Articles | ||||
| DOI: 10.21608/aunj.2022.160805.1033 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Shaimaa Azoz1; Fatma Hussien2; Hoda Abdelsamea  1
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| 1faculty of science, dep of mathematics and computer science | ||||
| 2Faculty 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 | ||||
| Keywords | ||||
| HIV-1 infection; fractional-order differential equations; infectious transmission; CTL immune response; global asymptomatic stability | ||||
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