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

Author

Ding, Deqiong, Ma, Qiang, and Ding, Xiaohua

Subjects
*FINITE differences, *NUMERICAL analysis, *COMPUTER simulation, *VACCINATION, *LYAPUNOV functions, *MATHEMATICAL models
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, the discretized model preserves positivity and global dynamics of the continuous model. Numerical simulation illustrates the effectiveness of our results. [ABSTRACT FROM PUBLISHER]

Published
2013
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