An NSFD scheme for SIR epidemic models of childhood diseases with constant vaccination strategy

作者：Cui, Qianqian; Xu, Jiabo; Zhang, Qiang; Wang, Kai^*

来源：Advances in Difference Equations, 2014, 2014(1): 172.

DOI：10.1186/1687-1847-2014-172

• mathematical model
• transmission dynamics
• basic reproduction number
• sensitivity analysis
• control strategies

In this paper, we construct a nonstandard finite difference (NSFD) scheme for an SIR epidemic model of childhood disease with constant strategy. The dynamics of the obtained discrete model is investigated. First we show that the discrete model has equilibria which are exactly the same as those of the continuous model. Furthermore, we prove that the conditions for those equilibria to be globally asymptotically stable are consistent with the continuous model for any size of numerical time-step. The analytical results are confirmed by some numerical simulations.

• 出版日期2014-6-24
• 单位南京理工大学; 石河子大学; 新疆医科大学