A fractional-order model of HIV infection: Numerical solution and comparisons with data of patients
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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.
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Keywords
Euler method, Fractional calculus, HIV model, numerical results