One-dimensional measles dynamics

被引：17

作者：

Al-Showaikh, FNM

Twizell, EH ^{[1
]}

机构：

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

[2] Univ Bahrain, Dept Math, Isa Town, Bahrain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 152卷 / 01期

关键词：

extended SEIR model; geographic spread; reaction-diffusion system; finite-difference method; parallel implementation;

D O I：

10.1016/S0096-3003(03)00554-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The SEIR model for the transmission dynamics of measles is extended by the addition of second-order space derivatives to enable the geographic spread of the disease in a population which has not been vaccinated against it. The resulting system of three reaction-diffusion equations is solved by a convergent finite-difference technique which is second-order accurate in space and time. A parallel implementation procedure is Studied and the method is tested using two initial distributions. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：169 / 194

页数：26

共 28 条

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