IMPACTS OF SPATIAL STRUCTURE ON EPIDEMIC SPREADING

Zi Hui (), Xu Cai, Jean-Marc Greneche and Qiuping A. Wang
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Zi Hui: LUNAM Universite, ISMANS, 44, Ave. Bartholdi, 72000 Le Mans, France;
Xu Cai: Complexity Science Center, Institute of Particle Physics, Hua-Zhong (Central China) Normal University, Wuhan 430079, P. R. China
Jean-Marc Greneche: LUNAM Universite, Universite du Maine, LPEC, UMR CNRS 6087, 72085 Le Mans, France
Qiuping A. Wang: LUNAM Universite, ISMANS, 44, Ave. Bartholdi, 72000 Le Mans, France;

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 12, 1-11

Abstract: The epidemic spreading on spatial-driven network is studied with the spatial susceptible-infected-susceptible (SIS) model. The network is constructed by random addition of nodes on the plan. The probability for a previous node to be connected to the new one is inversely proportional to their spatial distance to the power α. The spreading rate between two nodes is inversely proportional to their spatial distance. The effective spreading time increases with the increasing of α. The proportional coefficient is found to have a α-dependent threshold with a maximum situated in the interval 1.5

Keywords: Spatial network; spatial SIS model; epidemic threshold; infected nodes ratio; 89.75.Hc; 87.23.Ge; 64.60.Ht; 05.70.Ln (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0129183112500829

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