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

[1] ALSHOWAIKH FNM, 1998, THESIS BRUNEL U
[2] ANDERSON R M, 1991
[3] AGE-RELATED-CHANGES IN THE RATE OF DISEASE TRANSMISSIONS - IMPLICATIONS FOR THE DESIGN OF VACCINATION PROGRAMS
ANDERSON, RM
MAY, RM
[J]. JOURNAL OF HYGIENE, 1985, 94 (03) : 365 - 436
[4] SEASONALITY AND PERIOD-DOUBLING BIFURCATIONS IN AN EPIDEMIC MODEL
ARON, JL
SCHWARTZ, IB
[J]. JOURNAL OF THEORETICAL BIOLOGY, 1984, 110 (04) : 665 - 679
[5] Bailey N, 1975, MATH THEORY INFECT D
[6] MEASLES PERIODICITY AND COMMUNITY SIZE
BARTLETT, MS
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-GENERAL, 1957, 120 (01): : 48 - 70
[7] CHAOS AND BIOLOGICAL COMPLEXITY IN MEASLES DYNAMICS
BOLKER, BM
GRENFELL, BT
[J]. PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1993, 251 (1330) : 75 - 81
[8] Brownlee J., 1907, P ROYAL SOC EDINBURG, V26, P484, DOI [10.1017/s037016460002472x, DOI 10.1017/S037016460002472X]
[9] DIETZ K, 1985, J MATH BIOL, V22, P117
[10] DENSITY-DEPENDENCE IN PARASITE TRANSMISSION DYNAMICS
DIETZ, K
[J]. PARASITOLOGY TODAY, 1988, 4 (04): : 91 - 97

← 1 2 3 →