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Epidemic spreading on uncorrelated heterogenous networks with non-uniform transmission
Authors:Jia-zeng Wang  Zeng-rong Liu
Affiliation:a Department of Mathematics, Shanghai University, Shanghai 200444, PR China
b Shaoxing College of Arts and Sciences, Zhejiang 31200, PR China
c Institute of System Biology, Shanghai University, Shanghai 200444, PR China
d Shanghai Maritime University, Shanghai 200135, PR China
Abstract:We investigate the combinational effects of non-uniform transmission of edges and the network structure in susceptible-infected-removed models of the epidemic spreading. Here the degree-degree correlation is neglected and the transmission of individual edge depends on the degree of infected node. With the additional assumption that we can compartment a independent factor λ0 from the transmission, we analyzed the effects of degree distribution P(k) and transmission distribution λ(k) on the threshold of λ0.
Keywords:Epidemic spreading   Scale-free network   Transmission
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