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   A Nonstandard Finite Difference Scheme for Solving‎ ‎Fractional-Order Model of HIV-1 Infection of‎ ‎CD4^+ T-cells  
   
نویسنده Namjoo MIEHRAN ,Zibaei SADEGH
منبع iranian journal of mathematical chemistry - 2015 - دوره : 6 - شماره : 2 - صفحه:169 -184
چکیده    ‎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-1‎‎infection model.‎ ‎ ‎numerical results show that the‎‎nsfd approach is easy to be implemented and accurated when applied to fractional-order hiv-1‎‎infection model.
کلیدواژه HIV-1 model‎ ,‎Nonstandard finite difference scheme‎ ,‎Fractional differential equations‎ ,‎Grunwald-Letnikov derivative‎ ,‎Stability
آدرس vali-e-asr university of rafsanjan, School of Mathematical Sciences, Department of Mathematics, ایران, vali-e-asr university of rafsanjan, School of Mathematical Sciences, Department of Mathematics, ایران
 
     
   
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