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A fractional-order model of HIV infection: Numerical solution and comparisons with data of patients.
- Source :
- International Journal of Biomathematics; Jul2014, Vol. 7 Issue 4, p-1, 11p
- Publication Year :
- 2014
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- FRACTIONAL calculus
EULER method
HIV infections
COMPUTER simulation
PATIENTS
Subjects
Details
- Language :
- English
- ISSN :
- 17935245
- Volume :
- 7
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- International Journal of Biomathematics
- Publication Type :
- Academic Journal
- Accession number :
- 96774367
- Full Text :
- https://doi.org/10.1142/S1793524514500363