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Epidemics and dimensionality in hierarchical networks

Author

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  • Zheng, Da-Fang
  • Hui, P.M.
  • Trimper, Steffen
  • Zheng, Bo

Abstract

Epidemiological processes are studied within a recently proposed hierarchical network model using the susceptible–infected–refractory dynamics of an epidemic. Within the network model, a population may be characterized by H independent hierarchies or dimensions, each of which consists of groupings of individuals into layers of subgroups. Detailed numerical simulations reveal that for H>1, global spreading results regardless of the degree of homophily of the individuals forming a social circle. For H=1, a transition from global to local spread occurs as the population becomes decomposed into increasingly homophilous groups. Multiple dimensions in classifying individuals (nodes) thus make a society (computer network) highly susceptible to large-scale outbreaks of infectious diseases (viruses).

Suggested Citation

  • Zheng, Da-Fang & Hui, P.M. & Trimper, Steffen & Zheng, Bo, 2005. "Epidemics and dimensionality in hierarchical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 659-668.
    • Handle: RePEc:eee:phsmap:v:352:y:2005:i:2:p:659-668
    DOI: 10.1016/j.physa.2004.12.049
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