A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme

@article{Ongun2013ANC,
  title={A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme},
  author={Mevl{\"u}de Yakit Ongun and Ilkem Turhan},
  journal={J. Applied Mathematics},
  year={2013},
  volume={2013},
  pages={375094:1-375094:9}
}
A nonstandard numerical scheme has been constructed and analyzed for a mathematical model that describes HIV infection of CD4 T cells. This new discrete system has the same stability properties as the continuous model and, particularly, it preserves the same local asymptotic stability properties. Linearized Stability Theory and Schur-Cohn criteria are used for local asymptotic stability of this discrete timemodel.This proposed nonstandard numerical scheme is compared with the classical explicit… CONTINUE READING

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