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

• Autorzy: Deqiong Ding , Qiang Ma , Xiaohua Ding
• 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 differences; unconditional positivity; stability; Lyapunov function

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: 24
• Numer: 3
• Strony: 635-646

Daty

wydano

2014

otrzymano

2013-05-31

poprawiono

2013-11-15

poprawiono

2014-03-08

Twórcy

autor

Deqiong Ding

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

autor

Qiang Ma

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

autor

Xiaohua Ding

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

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Identyfikatory

DOI

10.2478/amcs-2014-0046