Dynamically consistent discrete epidemic model with modified saturated incidence rate

被引：29
|
作者：
Suryanto, A. [1 ]
Kusumawinahyu, W. M. [1 ]
Darti, I. [1 ]
Yanti, I. [1 ]
机构：
[1] Brawijaya Univ, Dept Math, Fac Sci, Jl Veteran 65145, Malang, Indonesia
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2013年 / 32卷 / 02期
关键词：
Dynamically consistent; Nonstandard finite difference scheme; SIR epidemic model; Modified saturated incidence rate;
D O I：
10.1007/s40314-013-0026-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonstandard finite difference scheme is constructed to solve a SIR epidemic model with modified saturated incidence rate. The dynamical properties of the resulting discrete system are then analyzed. It is shown that the discrete system is dynamically consistent with the continuous model because it preserves essential properties of the considered model, such as positivity and boundedness of solutions, equilibrium points and their stability properties. These properties are confirmed by numerical simulations.
引用
收藏
页码：373 / 383
页数：11
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