GEOGRAPHICAL EFFECTS ON EPIDEMIC SPREADING IN SCALE-FREE NETWORKS

Xin-Jian Xu, Wen-Xu Wang, Tao Zhou and Guanrong Chen
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Xin-Jian Xu: Departamento de Física da Universidade de Aveiro, 3810-193 Aveiro, Portugal
Wen-Xu Wang: Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong SAR, China
Tao Zhou: Nonlinear Science Center and Department of Modern Physics, University of Science and Technology of China, Hefei Anhui 230026, China
Guanrong Chen: Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong SAR, China

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 12, 1815-1822

Abstract: Many real networks are embedded in a metric space: the interactions among individuals depend on their spatial distances and usually take place among their nearest neighbors. In this paper, we introduce a modified susceptible-infected-susceptible (SIS) model to study geographical effects on the spread of diseases by assuming that the probability of a healthy individual infected by an infectious one is inversely proportional to the Euclidean distance between them. It is found that geography plays a more important role than hubs in disease spreading: the more geographically constrained the network is, the more highly the epidemic prevails.

Keywords: Epidemic spreading; scale-free networks; 89.75.Hc; 87.23.Ge; 05.70.Ln; 87.19.Xx (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0129183106010194

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