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
收藏
页码：169 / 194
页数：26
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