Creator:

Obaid, Hasim A. ; Ouifki, Rachid ; Patidar, Kailash C.

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

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

Group publication title:

AMCS, Volume 23 (2013)

Subject and Keywords:

HIV infection ; dynamical systems ; nonstandard finite difference methods ; equilibria ; stability

Abstract:

We 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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2013

Resource Type:

artykuł

DOI:

10.2478/amcs-2013-0027

Pages:

357-372

Source:

AMCS, volume 23, number 2 (2013) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego