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

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.