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Epidemic spreading on uncorrelated heterogenous networks with non-uniform transmission |
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| Authors: | Jia-zeng Wang Zeng-rong Liu |
| Institution: | 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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