Epidemic spreading in lattice-embedded scale-free networks |
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Authors: | Xin-Jian Xu Zhi-Xi Wu Guanrong Chen |
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Institution: | 1. Departamento de Física da Universidade de Aveiro, 3810-193 Aveiro, Portugal;2. Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China;3. Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China |
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Abstract: | We study geographical effects on the spread of diseases in lattice-embedded scale-free networks. The geographical structure is represented by the connecting probability of two nodes that is related to the Euclidean distance between them in the lattice. By studying the standard susceptible-infected model, we found that the geographical structure has great influences on the temporal behavior of epidemic outbreaks and the propagation in the underlying network: the more geographically constrained the network is, the more smoothly the epidemic spreads, which is different from the clearly hierarchical dynamics that the infection pervades the networks in a progressive cascade across smaller-degree classes in Barabási–Albert scale-free networks. |
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Keywords: | Epidemic spreading Geographical networks Dynamics of social systems |
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