Impacts of Spatial Structure on Epidemic Spreading

Hui, Zi; Cai, X.; Grenèche, Jean‐Marc; Wang, Qiuping A.

doi:10.1142/s0129183112500829

Cited by 3 publications

(2 citation statements)

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“…Based on some real social communication networks, we find that the communication rate is inversely proportional to the spatial distance [9,10]. Arouse from the previous works [12,26,27], we define the spatial diffusion mechanism: the diffusion rate λ sj from the active agent s to its inactive neighbor j is inversely proportional to their spatial distance as follows…”

Section: Spatial Diffusion Mechanismmentioning

confidence: 99%

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Diffusion on spatial network

Hui

Tang

et al. 2015

J. Phys.: Conf. Ser.

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Abstract. In this work, we study the problem of diffusing a product (idea, opinion, disease etc.) among agents on spatial network. The network is constructed by random addition of nodes on the planar. The probability for a previous node to be connected to the new one is inversely proportional to their spatial distance to the power of α. The diffusion rate between two connected nodes is inversely proportional to their spatial distance to the power of β as well. Inspired from the Fick's first law, we introduce the diffusion coefficient to measure the diffusion ability of the spatial network. Using both theoretical analysis and Monte Carlo simulation, we get the fact that the diffusion coefficient always decreases with the increasing of parameter α and β, and the diffusion sub-coefficient follows the power-law of the spatial distance with exponent equals to -α-β+2. Since both short-range diffusion and long-range diffusion exist, we use anomalous diffusion method in diffusion process. We get the fact that the slope index δ in anomalous diffusion is always smaller that 1. The diffusion process in our model is sub-diffusion.

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Section: Spatial Diffusion Mechanismmentioning

confidence: 99%

“…Previous works have uncovered that people always make calls and sent emails to someone near them [9,10]. Infectious diseases are spread because of people interaction and traveling, which are constrained by spatial distance as well [11,12]. Thus, spatial network is a suitable carrier for us to study such problems.…”

Section: Introductionmentioning

confidence: 99%