A fractional-order model of HIV infection: Numerical solution and comparisons with data of patients
Date
2014
Authors
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
World Scientific Publishing Co. Pte Ltd
Series Info
International Journal of Biomathematics
7
7
Scientific Journal Rankings
Abstract
In this paper, a fractional-order model which describes the human immunodeficiency type-1 virus (HIV-1) infection is presented. Numerical solutions are obtained using a generalized Euler method (GEM) to handle the fractional derivatives. The fractional derivatives are described in the Caputo sense. We show that the model established in this paper possesses non-negative solutions. Comparisons between the results of the fractional-order model, the results of the integer model and the measured real data obtained from 10 patients during primary HIV-1 infection are presented. These comparisons show that the results of the fractional-order model give predictions to the plasma virus load of the patients better than those of the integer model. � 2014 World Scientific Publishing Company.
Description
Scopus
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MSA Google Scholar
Keywords
Euler method, Fractional calculus, HIV model, numerical results