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.
Zibaei, S., & Namjoo, M. (2015). A Nonstandard Finite Difference Scheme for Solving Fractional-order Model of HIV-1 Infection of CD4^{+} t-cells. Iranian Journal of Mathematical Chemistry, 6(2), 169-184. doi: 10.22052/ijmc.2015.10843
MLA
S. Zibaei; M. Namjoo. "A Nonstandard Finite Difference Scheme for Solving Fractional-order Model of HIV-1 Infection of CD4^{+} t-cells". Iranian Journal of Mathematical Chemistry, 6, 2, 2015, 169-184. doi: 10.22052/ijmc.2015.10843
HARVARD
Zibaei, S., Namjoo, M. (2015). 'A Nonstandard Finite Difference Scheme for Solving Fractional-order Model of HIV-1 Infection of CD4^{+} t-cells', Iranian Journal of Mathematical Chemistry, 6(2), pp. 169-184. doi: 10.22052/ijmc.2015.10843
VANCOUVER
Zibaei, S., Namjoo, M. A Nonstandard Finite Difference Scheme for Solving Fractional-order Model of HIV-1 Infection of CD4^{+} t-cells. Iranian Journal of Mathematical Chemistry, 2015; 6(2): 169-184. doi: 10.22052/ijmc.2015.10843
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