Affiliation:
1. Department of Mathematics Harbin Institute of Technology (Weihai), Weihai Shangdong 264209, PR China
Abstract
Abstract
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
Subject
Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Cited by
6 articles.
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1. Nonstandard Finite Difference Scheme for the Epidemic Model with Vaccination;Journal of Mathematical Sciences;2024-03
2. Higher-order modified nonstandard finite difference methods for autonomous dynamical systems;Contemporary Mathematics;2024
3. Mathematical Analysis and Numerical Solution of a Model of HIV with a Discrete Time Delay;Mathematics;2021-01-28
4. Second-order nonstandard explicit Euler method;APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 12th International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’20;2020
5. Stabilization of an epidemic model via an N-periodic approach;International Journal of Applied Mathematics and Computer Science;2018-03-01