Impacts of preference and geography on epidemic spreading

Details Impacts of preference and geography on epidemic spreading Impacts of preference and geography on epidemic spreading

2007-10-21

arxiv.org/abs/0710.3907v1

Phys. Rev. E 76, 056109 (2007).

Physics

Physics and Society

4 pages, 5 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.76.056109

We investigate the standard susceptible-infected-susceptible model on a random network to study the effects of preference and geography on diseases spreading. The network grows by introducing one random node with $m$ links on a Euclidean space at unit time. The probability of a new node $i$ linking to a node $j$ with degree $k_j$ at distance $d_{ij}$ from node $i$ is proportional to $k_{j}^{A}/d_{ij}^{B}$, where $A$ and $B$ are positive constants governing preferential attachment and the cost of the node-node distance. In the case of A=0, we recover the usual epidemic behavior with a critical threshold below which diseases eventually die out. Whereas for B=0, the critical behavior is absent only in the condition A=1. While both ingredients are proposed simultaneously, the network becomes robust to infection for larger $A$ and smaller $B$.

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