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

Mevlüde Yakıt Ongun and İlkem Turhan

Journal of Applied Mathematics, 2013, vol. 2013, 1-9

Abstract:

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.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/JAM/2013/375094.pdf (application/pdf)
http://downloads.hindawi.com/journals/JAM/2013/375094.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:375094

DOI: 10.1155/2013/375094

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().