A non-standard finite difference scheme for an epidemic model with vaccination

Deqiong Ding; Qiang Ma; Xiaohua Ding

doi:10.1080/10236198.2011.614606

A non-standard finite difference scheme for an epidemic model with vaccination

Deqiong Ding
, Qiang Ma
, Xiaohua Ding^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

The aim of this paper is to construct a non-standard finite difference (NSFD) scheme that can be used to calculate 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 when,h < h₀ the discretized model preserves positivity and global dynamics of the continuous model. Numerical simulation illustrates the effectiveness of our results.

Original language	English
Pages (from-to)	179-190
Number of pages	12
Journal	Journal of Difference Equations and Applications
Volume	19
Issue number	2
DOIs	https://doi.org/10.1080/10236198.2011.614606
State	Published - Feb 2013
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Lyapunov function
non-standard difference
numerical discretized model
stability

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10.1080/10236198.2011.614606

Cite this

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KW - numerical discretized model

KW - stability

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A non-standard finite difference scheme for an epidemic model with vaccination

Abstract

UN SDGs

Keywords

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