A nonstandard finite difference scheme for solving‎ ‎fractional-order model of HIV-1 infection of‎ ‎CD4^{+} t-cells

Document Type: Research Paper

Authors

Department of Mathematics, School of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

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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