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

Mevlüde YAKIT ONGUN | Zendy; İlkem Turhan Çetinkaya | Zendy

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

Author(s) -

Mevlüde YAKIT ONGUN,

İlkem Turhan Çetinkaya

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/375094

Subject(s) - mathematics , stability (learning theory) , scheme (mathematics) , euler's formula , exponential stability , order (exchange) , numerical analysis , numerical stability , runge–kutta methods , euler method , mathematical analysis , computer science , physics , quantum mechanics , finance , nonlinear system , machine learning , economics

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 time model. This proposed nonstandard numerical scheme is compared with the classical explicit Euler and fourth order Runge-Kutta methods. To show the efficiency of this numerical scheme, the simulated results are given in tables and figures

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