Fractional modeling dynamics of HIV and CD4 +T-cells during primary infection

Arafa A.A.M.; Rida S.Z.; Khalil M.

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Fractional modeling dynamics of HIV and CD4 +T-cells during primary infection

Arafa A.A.M.; Rida S.Z.; Khalil M.

Full Text link: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3275462/

Date issued: 2012

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Doi: https://doi.org/10.1186/1753-4631-6-1

Series Info: Nonlinear Biomedical Physics
6

Type: Article

Keywords: article , CD4+ T lymphocyte , generalized Euler method , Human immunodeficiency virus 1 infection , methodology , molecular dynamics , nonhuman , primary infection , priority journal , statistical analysis , virus particle

Abstract:

In this paper, we introduce fractional-order into a model of HIV-1 infection of CD4 +T cells. We study the effect of the changing the average number of viral particles N with different sets of initial conditions on the dynamics of the presented model. Generalized Euler method (GEM) will be used to find a numerical solution of the HIV-1 infection fractional order model. � 2012 Arafa et al; licensee BioMed Central Ltd.