- Tytuł:
- An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection
- Autorzy:
-
Obaid, H. A.
Ouifki, R.
Patidar, K. C. - Powiązania:
- https://bibliotekanauki.pl/articles/331053.pdf
- Data publikacji:
- 2013
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
HIV infection
dynamical system
nonstandard finite difference methods
equilibria
stability
zakażenie HIV
układ dynamiczny
metoda różnic skończonych
równowaga - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 357-372
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł