A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme
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. L...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/375094 |
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| _version_ | 1832556114053431296 |
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| author | Mevlüde Yakıt Ongun İlkem Turhan |
| author_facet | Mevlüde Yakıt Ongun İlkem Turhan |
| author_sort | Mevlüde Yakıt Ongun |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4a3fc6d56f0b42bc9ebbd402356d3256 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4a3fc6d56f0b42bc9ebbd402356d32562025-02-03T05:46:21ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/375094375094A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical SchemeMevlüde Yakıt Ongun0İlkem Turhan1Department of Mathematics, Suleyman Demirel University, 32260 Isparta, TurkeyDepartment of Mathematics, Dumlupınar University, 43100 Kütahya, TurkeyA 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.http://dx.doi.org/10.1155/2013/375094 |
| spellingShingle | Mevlüde Yakıt Ongun İlkem Turhan A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme Journal of Applied Mathematics |
| title | A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme |
| title_full | A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme |
| title_fullStr | A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme |
| title_full_unstemmed | A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme |
| title_short | A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme |
| title_sort | numerical comparison for a discrete hiv infection of cd4 t cell model derived from nonstandard numerical scheme |
| url | http://dx.doi.org/10.1155/2013/375094 |
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