An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination

• Autorzy: Ding D. , Ma Q. , Ding X.

Identyfikatory

DOI

10.2478/amcs-2014-0046

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

nonstandard finite difference; unconditional positivity; stability; Lyapunov function

PL

metoda różnic skończonych; stabilność; funkcja Lyapunova

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: Vol. 24, no. 3
• Strony: 635--646
• Opis fizyczny: Bibliogr. 39 poz., wykr.

Twórcy

autor

Ding D.

• Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai Shangdong 264209, PR China

autor

Ma Q.

• Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai Shangdong 264209, PR China

autor

Ding X.

• Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai Shangdong 264209, PR China

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