Spreading of infectious diseases on complex networks with non-symmetric transmission probabilities

2006/11/23 by Daudert, Britta, Li, Bai-Lian
#14J60 #FOS: Mathematics #General Mathematics (math.GM) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.math/0611730

Abstract

We model the spread of a SIS infection on Small World and random networks using weighted graphs. The entry w_ij in the weight matrix W holds information about the transmission probability along the edge joining node v_i and node v_j. We use the analogy between the spread of a disease on a network and a random walk performed on this network to derive a master equation describing the dynamics of the process. We find conditions under which an epidemic does not break out and investigate numerically the effect of a non-symmetric weight distribution of the initially infected individual on the dynamics of the disease spread.

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