Epidemic spreading on uncorrelated heterogenous networks with non-uniform transmission

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.

[1]  M. Newman Spread of epidemic disease on networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Panganamala Ramana Kumar,et al.  RHEINISCH-WESTFÄLISCHE TECHNISCHE HOCHSCHULE AACHEN , 2001 .

[3]  R. May,et al.  Infection dynamics on scale-free networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Alessandro Vespignani,et al.  Epidemic dynamics in finite size scale-free networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Alessandro Vespignani,et al.  Dynamical Patterns of Epidemic Outbreaks in Complex Heterogeneous Networks , 1999 .

[6]  Y. Moreno,et al.  Epidemic outbreaks in complex heterogeneous networks , 2001, cond-mat/0107267.

[7]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[8]  Chi K. Tse,et al.  Clustering model for transmission of the SARS virus: application to epidemic control and risk assessment , 2005, Physica A: Statistical Mechanics and its Applications.

[9]  S. N. Dorogovtsev,et al.  Evolution of networks , 2001, cond-mat/0106144.

[10]  Alessandro Vespignani,et al.  Epidemic spreading in scale-free networks. , 2000, Physical review letters.

[11]  Catherine H Mercer,et al.  Scale-Free Networks and Sexually Transmitted Diseases: A Description of Observed Patterns of Sexual Contacts in Britain and Zimbabwe , 2004, Sexually transmitted diseases.

[12]  Luís A. Nunes Amaral,et al.  Sexual networks: implications for the transmission of sexually transmitted infections. , 2003, Microbes and infection.

[13]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[14]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[15]  V. Latora,et al.  Complex networks: Structure and dynamics , 2006 .

[16]  Jaewook Joo,et al.  Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  L. Amaral,et al.  The web of human sexual contacts , 2001, Nature.

[18]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.