Spreading disease with transport-related infection

被引:61
作者
Cui, JA
Takeuchi, Y [1 ]
Saito, Y
机构
[1] Shizuoka Univ, Fac Engn, Dept Syst Engn, Hamamatsu, Shizuoka 4328561, Japan
[2] Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China
基金
中国国家自然科学基金; 日本学术振兴会;
关键词
transport-related infection; SARS; basic reproduction number; stability;
D O I
10.1016/j.jtbi.2005.08.005
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Transportation among regions is found as one of the main factors which affect the outbreak of diseases. It will change the disease dynamics and break infection out even if infectious diseases will go to extinction in each city without transport-related infection. In this paper, a mathematical model is proposed to demonstrate the dynamics of such disease propagation between two regions (or cities) due to the population dispersal and infection on transports. Further, our analysis shows that transport-related infection intensifies the disease spread if infectious diseases break out to cause an endemic situation in each region, in the sense that both the absolute and relative size of patients increase. This suggests that it is very essential to strengthen restrictions of passengers once we know infectious diseases appeared. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:376 / 390
页数:15
相关论文
共 12 条
[1]  
Arino J., 2003, Mathematical Population Studies, V10, P175, DOI 10.1080/08898480306720
[2]  
Brauer F., 2012, Mathematical Models in Population Biology and Epidemiology, V2
[3]  
DIEKMANN O, 1990, J MATH BIOL, V28, P365
[4]   The metapopulation dynamics of an infectious disease: Tuberculosis in possums [J].
Fulford, GR ;
Roberts, MG ;
Heesterbeek, JAP .
THEORETICAL POPULATION BIOLOGY, 2002, 61 (01) :15-29
[6]  
RVACHEV LA, 1985, MATH BIOSCI, V75, P3, DOI 10.1016/0025-5564(85)90064-1
[7]   A STRUCTURED EPIDEMIC MODEL INCORPORATING GEOGRAPHIC-MOBILITY AMONG REGIONS [J].
SATTENSPIEL, L ;
DIETZ, K .
MATHEMATICAL BIOSCIENCES, 1995, 128 (1-2) :71-91
[8]  
Sattenspiel L, 1998, HUM BIOL, V70, P91
[9]   Simulating the effect of quarantine on the spread of the 1918-19 flu in central Canada [J].
Sattenspiel, L ;
Herring, DA .
BULLETIN OF MATHEMATICAL BIOLOGY, 2003, 65 (01) :1-26
[10]   Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission [J].
van den Driessche, P ;
Watmough, J .
MATHEMATICAL BIOSCIENCES, 2002, 180 :29-48