An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection

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dc.contributor.authorObaid, Hasim
dc.contributor.authorOuifki, Rachid
dc.contributor.authorPatidar, Kailash C.
dc.date.accessioned2017-02-20T07:58:48Z
dc.date.available2017-02-20T07:58:48Z
dc.date.issued2013
dc.description.abstractWe formulate and analyze an unconditionally stable nonstandard finite difference method for a mathematical model of HIV transmission dynamics. The dynamics of this model are studied using the qualitative theory of dynamical systems. These qualitative features of the continuous model are preserved by the numerical method that we propose in this paper. This method also preserves the positivity of the solution, which is one of the essential requirements when modeling epidemic diseases. Robust numerical results confirming theoretical investigations are provided. Comparisons are also made with the other conventional approaches that are routinely used for such problems.
dc.description.accreditationISI
dc.identifier.citationHasim, O. et al. (2013). An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection. Int Jnl of Appl Maths. Comp Sc, 23(2)
dc.identifier.issn1641-876X
dc.identifier.urihttp://hdl.handle.net/10566/2550
dc.identifier.urihttps://doi.org/10.2478/amcs-2013-0027
dc.languageen
dc.privacy.showsubmitterFALSE
dc.publisherDe Gruyter Open
dc.rightsThis article is from an Open Access journal and article will be governed by the Creative Commons Attribution-NonCommercial-NoDerivs license.
dc.status.ispeerreviewedTRUE
dc.subjectHIV infection
dc.subjectStability
dc.subjectNonstandard finite difference methods
dc.subjectMathematics
dc.titleAn unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection
dc.typeArticle

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