中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3639-3646.doi: 10.1088/1674-1056/18/9/006

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Dynamical behaviour of an epidemic on complex networks with population mobility

Small Michael1, 傅新楚2, 汪秉宏3, 张海峰4   

  1. (1)Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong; (2)Department of Mathematics, Shanghai University, Shanghai 200444, China; (3)Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; (4)Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;chool of Mathematical Science, Anhui University, Hefei 230039, China;Department of Electronic and Information Engineering, Hong Kong Polytechnic University,
  • 收稿日期:2009-01-18 修回日期:2009-02-08 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by National Natural Science Foundation of China (Grant Nos 60744003, 10635040, 10532060 and 10672146); the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No 20060358065); National Science Fund for Fostering Talents in Basic Science (Grant No J0630319); A grant from the Health, Welfare and Food Bureau of the Hong Kong SAR Government; Shanghai Leading Academic Discipline Project (Project Number: J50101).

Dynamical behaviour of an epidemic on complex networks with population mobility

Zhang Hai-Feng(张海峰)a)b)c), Small Michaelc), Fu Xin-Chu(傅新楚)d)†, and Wang Bing-Hong(汪秉宏)a)‡   

  1. a Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; b School of Mathematical Science, Anhui University, Hefei 230039, China; c Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong; d Department of Mathematics, Shanghai University, Shanghai 200444, China
  • Received:2009-01-18 Revised:2009-02-08 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by National Natural Science Foundation of China (Grant Nos 60744003, 10635040, 10532060 and 10672146); the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No 20060358065); National Science Fund for Fostering Talents in Basic Science (Grant No J0630319); A grant from the Health, Welfare and Food Bureau of the Hong Kong SAR Government; Shanghai Leading Academic Discipline Project (Project Number: J50101).

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摘要： In this paper, we study the dynamical behaviour of an epidemic on complex networks with population mobility. In our model, the number of people on each node is unrestricted as the nodes of the network are considered as cities, communities, and so on. Because people can travel between different cities, we study the effect of a population's mobility on the epidemic spreading. In view of the population's mobility, we suppose that the susceptible individual can be infected by an infected individual in the same city or other connected cities. Simulations are presented to verify our analysis.

Abstract: In this paper, we study the dynamical behaviour of an epidemic on complex networks with population mobility. In our model, the number of people on each node is unrestricted as the nodes of the network are considered as cities, communities, and so on. Because people can travel between different cities, we study the effect of a population's mobility on the epidemic spreading. In view of the population's mobility, we suppose that the susceptible individual can be infected by an infected individual in the same city or other connected cities. Simulations are presented to verify our analysis.

Key words: complex network, mobility, heterogeneity, epidemic threshold

中图分类号:  (Networks and genealogical trees)

  • 89.75.Hc
87.23.Cc (Population dynamics and ecological pattern formation) 89.65.-s (Social and economic systems)