Quarantine in a multi-species epidemic model with spatial dynamics

被引：97
作者：
Arino, Julien
Jordan, Richard
van den Driessche, P.
机构：
[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K7, Canada
[2] Mt Holyoke Coll, Dept Math & Stat, S Hadley, MA 01075 USA
[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
来源：
MATHEMATICAL BIOSCIENCES | 2007年 / 206卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1016/j.mbs.2005.09.002
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Motivation is provided for the development of infectious disease models that incorporate the movement of individuals over a range of spatial scales. A general model is formulated for a disease that can be transmitted between different species and multiple patches, and the behavior of the system is investigated in the case in which the spatial component consists of a ring of patches. The influence of various parameters on the spatial and temporal spread of the disease is studied numerically, with particular focus on the role of quarantine in the form of travel restriction. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：46 / 60
页数：15
相关论文
共 46 条
  • [1] Traveling waves of infection in the hantavirus epidemics
    Abramson, G
    Kenkre, VM
    Yates, TL
    Parmenter, RR
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 2003, 65 (03) : 519 - 534
  • [2] A review of avian influenza in different bird species
    Alexander, DJ
    [J]. VETERINARY MICROBIOLOGY, 2000, 74 (1-2) : 3 - 13
  • [3] IDENTIFICATION OF PATTERN AND PROCESS IN THE SPREAD OF A CONTAGIOUS-DISEASE
    ANGULO, JJ
    TAKIGUTI, CK
    PEDERNEIRAS, CAA
    CARVALHODESOUZA, AM
    OLIVEIRADESOUZA, MC
    MEGALE, P
    [J]. SOCIAL SCIENCE & MEDICINE PART D-MEDICAL GEOGRAPHY, 1979, 13 (3D): : 183 - 189
  • [4] [Anonymous], 1967, KIBERNETICA
  • [5] A multi-species epidemic model with spatial dynamics
    Arino, J
    Davis, JR
    Hartley, D
    Jordan, R
    Miller, JM
    van den Driessche, P
    [J]. MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA, 2005, 22 (02): : 129 - 142
  • [6] Arino J, 2003, LECT NOTES CONTR INF, V294, P135
  • [7] Arino J., 2003, Mathematical Population Studies, V10, P175, DOI 10.1080/08898480306720
  • [8] BAROYAN O V, 1971, Advances in Applied Probability, V3, P224, DOI 10.2307/1426167
  • [9] Berman A., 1987, NONNEGATIVE MATRICES
  • [10] The pig as an intermediate host for influenza A viruses between birds and humans
    Brown, IH
    [J]. OPTIONS FOR THE CONTROL OF INFLUENZA IV, 2001, 1219 : 173 - 178
12345