Temat: nonstandard finite difference - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination
Autorzy:: Ding, D.
Ma, Q.
Ding, X.
Powiązania:: https://bibliotekanauki.pl/articles/330497.pdf
Data publikacji:: 2014
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: nonstandard finite difference
unconditional positivity
stability
Lyapunov function
metoda różnic skończonych
stabilność
funkcja Lyapunova
Opis:: In this paper, a NonStandard Finite Difference (NSFD) scheme is constructed, which can be used to determine numerical solutions for an epidemic model with vaccination. Here the NSFD method is employed to derive a set of difference equations for the epidemic model with vaccination. We show that difference equations have the same dynamics as the original differential system, such as the positivity of the solutions and the stability of the equilibria, without being restricted by the time step. Our proof of global stability utilizes the method of Lyapunov functions. Numerical simulation illustrates the effectiveness of our results.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2014, 24, 3; 635-646
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

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