An unconditionally convergent finite-difference scheme for the SIR model

被引：38

作者：

Piyawong, W

Twizell, EH ^{[1
]}

Gumel, AB

机构：

[1] Brunel Univ, Dept Math Sci, Uxbridge UB8 3PH, Middx, England

[2] King Mongkuts Univ Technol, Dept Math, Bangkok 10140, Thailand

[3] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 146卷 / 2-3期

关键词：

SIR model; finite differences; unconditional convergence;

D O I：

10.1016/S0096-3003(02)00607-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A first-order, unconditionally-stable, finite-difference scheme is developed for the numerical solution of the SIR model. It is seen that numerical simulations using the method reflect the long-term behaviour of the continuous-time system accurately. The introduction of seasonal variation into the SIR model leads to periodic and chaotic dynamics of epidemics which are present in the numerical simulations. (C) 2002 Elsevier Inc. All rights reserved.

引用

页码：611 / 625

页数：15

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