A nonstandard finite difference scheme for solving fractional-order model of HIV-1 infection of CD4^{+} t-cells
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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. The nonstandard finite difference (NSFD) scheme is implemented to study the dynamic behaviors in the fractional--order HIV-1 infection model. Numerical results show that the NSFD approach is easy to be implemented and accurated when applied to fractional-order HIV-1 infection model.
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Journal title
volume 6 issue 2
pages 169- 184
publication date 2015-10-01
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